1PRIMGRP[151]:=
2[[ 1, 151, 3, "1", [ [ 1, 150 ] ], 1, "C(151)", [ "Z", 151, 1 ], [  ] ],
3[ 2, 302, 2, "1", [ [ 2, 75 ] ], 1, "D(2*151)", [ "Z", 151, 1 ],
4  [ [ [ Z(151)^75 ] ] ] ],
5[ 3, 453, 2, "1", [ [ 3, 50 ] ], 1, "151:3", [ "Z", 151, 1 ],
6  [ [ [ Z(151)^50 ] ] ] ],
7[ 4, 755, 2, "1", [ [ 5, 30 ] ], 1, "151:5", [ "Z", 151, 1 ],
8  [ [ [ Z(151)^30 ] ] ] ],
9[ 5, 906, 2, "1", [ [ 6, 25 ] ], 1, "151:6", [ "Z", 151, 1 ],
10  [ [ [ Z(151)^25 ] ] ] ],
11[ 6, 1510, 2, "1", [ [ 10, 15 ] ], 1, "151:10", [ "Z", 151, 1 ],
12  [ [ [ Z(151)^15 ] ] ] ],
13[ 7, 2265, 2, "1", [ [ 15, 10 ] ], 1, "151:15", [ "Z", 151, 1 ],
14  [ [ [ Z(151)^10 ] ] ] ],
15[ 8, 3775, 2, "1", [ [ 25, 6 ] ], 1, "151:25", [ "Z", 151, 1 ],
16  [ [ [ Z(151)^6 ] ] ] ],
17[ 9, 4530, 2, "1", [ [ 30, 5 ] ], 1, "151:30", [ "Z", 151, 1 ],
18  [ [ [ Z(151)^5 ] ] ] ],
19[ 10, 7550, 2, "1", [ [ 50, 3 ] ], 1, "151:50", [ "Z", 151, 1 ],
20  [ [ [ Z(151)^3 ] ] ] ],
21[ 11, 11325, 2, "1", [ [ 75, 2 ] ], 1, "151:75", [ "Z", 151, 1 ],
22  [ [ [ Z(151)^2 ] ] ] ],
23[ 12, 22650, 2, "1", [ [ 150, 1 ] ], 2, "AGL(1, 151)", [ "Z", 151, 1 ],
24  [ [ [ Z(151) ] ] ] ],
25[13, Factorial(151)/2,1,"2",[[150,1]],149, "Alt(151)", ["A",151, 1], "Alt"],
26[14, Factorial(151),0,"2",[[150, 1]],151, "Sym(151)", ["A",151, 1], "Sym"]];
27PRIMGRP[152]:=
28[[ 1, 1721400, 1, "2", [ [ 151, 1 ] ], 2, "PSL(2, 151)",
29  [ "L", [ 2, 151 ], 1 ], "psl" ],
30[ 2, 3442800, 0, "2", [ [ 151, 1 ] ], 3, "PGL(2, 151)",
31  [ "L", [ 2, 151 ], 1 ], "pgl" ],
32[3, Factorial(152)/2,1,"2",[[151,1]],150, "Alt(152)", ["A",152, 1], "Alt"],
33[4, Factorial(152),0,"2",[[151, 1]],152, "Sym(152)", ["A",152, 1], "Sym"]];
34PRIMGRP[153]:=
35[[ 1, 2448, 1, "2", [ [ 4, 2 ], [ 8, 6 ], [ 16, 6 ] ], 1, "PSL(2, 17)",
36  [ "L", [ 2, 17 ], 1 ],
37  [ (  1,147)(  2,110)(  3, 35)(  4, 67)(  5,145)(  6, 96)(  7, 84)(  8, 63)
38        (  9,101)( 10,138)( 11,142)( 12, 90)( 13, 78)( 14,121)( 15, 43)
39        ( 16,135)( 17,115)( 19,118)( 20, 97)( 21,104)( 22, 77)( 23, 53)
40        ( 24,103)( 25,122)( 26,125)( 27,153)( 28, 80)( 29,109)( 30,113)
41        ( 31,131)( 32, 99)( 33,128)( 34, 98)( 36,137)( 37,123)( 38, 50)
42        ( 39,130)( 40,119)( 41, 56)( 42, 72)( 44, 71)( 45,143)( 46, 68)
43        ( 48, 54)( 49, 59)( 51,149)( 52,141)( 55, 65)( 57,132)( 58,120)
44        ( 60,150)( 61,111)( 62,114)( 64, 93)( 66,136)( 69,100)( 70,140)
45        ( 74, 83)( 75,129)( 76,151)( 82,133)( 85,139)( 86,108)( 87,106)
46        ( 89,127)( 91,134)( 92,148)( 94,116)( 95,124)(107,144)(112,146)
47        (117,126), (  1, 29,118)(  2,136,112)(  3, 89,144)(  4, 54,146)
48        (  5, 84,148)(  6,153, 36)(  7, 76,137)(  8,138,152)(  9,150,123)
49        ( 10,124, 83)( 11,105, 74)( 12,119,134)( 13, 44,103)( 14,135, 56)
50        ( 15, 93,139)( 16,142,149)( 17,107, 20)( 18, 82, 19)( 21, 48, 91)
51        ( 22, 87,125)( 23,130, 60)( 24, 50,122)( 25, 86,102)( 26,101, 95)
52        ( 27, 67, 61)( 28, 98,126)( 30, 55, 63)( 31,116, 66)( 32, 58,145)
53        ( 33, 99, 68)( 34,140,131)( 35,117, 92)( 37, 38, 52)( 39,147,106)
54        ( 40, 85, 97)( 41, 96, 70)( 42, 65, 94)( 43, 71,111)( 45, 46,110)
55        ( 47,141, 49)( 51, 59, 90)( 53,114,143)( 57,115, 80)( 62,133, 73)
56        ( 64,113,121)( 69, 77, 75)( 72,129, 88)( 78,120,127)( 79, 81,132)
57        (100,151,108)(104,128,109) ] ],
58[ 2, 4896, 0, "2", [ [ 16, 7 ], [ 8, 1 ], [ 32, 1 ] ], 1, "PGL(2, 17)",
59  [ "L", [ 2, 17 ], 1 ],
60  [ (  1,111)(  2, 69)(  3,142)(  4, 39)(  5, 28)(  6, 94)(  7, 70)( 10,127)
61        ( 11, 76)( 12,131)( 13, 92)( 14,146)( 15,119)( 16,134)( 17, 47)
62        ( 18,104)( 19, 59)( 20, 58)( 21, 85)( 22,133)( 23, 97)( 24, 53)
63        ( 25, 33)( 26, 35)( 27, 98)( 29,116)( 30,124)( 31,101)( 32,152)
64        ( 34,115)( 36, 87)( 38,113)( 40, 64)( 41,125)( 42,132)( 43, 88)
65        ( 44,144)( 45, 75)( 46, 83)( 49,122)( 50, 73)( 52,140)( 54,151)
66        ( 55,102)( 56,143)( 57, 86)( 60,126)( 61, 65)( 62,105)( 63,147)
67        ( 66,114)( 68,149)( 71, 95)( 72, 91)( 74, 84)( 77,139)( 78,110)
68        ( 79,103)( 80, 96)( 81,112)( 82,120)( 90,141)( 93,107)( 99,118)
69        (100,136)(108,138)(109,117)(121,148)(123,129)(128,153)(130,150)
70        (135,137), (  1, 40, 45)(  2,122, 14)(  3, 70, 60)(  4,148, 22)
71        (  5, 18,129)(  6, 24, 72)(  7,112, 52)(  8,110, 44)(  9, 95, 15)
72        ( 10,134, 56)( 11,152, 79)( 12, 35,135)( 13, 38,117)( 16, 97, 29)
73        ( 17,106, 36)( 19,136, 81)( 20, 82, 32)( 21,103, 77)( 23, 39,115)
74        ( 25,149, 30)( 26,142, 55)( 27, 67, 58)( 28,145, 62)( 31, 64,144)
75        ( 33, 66, 80)( 34, 69,139)( 37, 85, 96)( 41,101, 87)( 42, 61, 51)
76        ( 43,130,126)( 46, 50, 84)( 47,133, 78)( 48, 73,132)( 49, 94,105)
77        ( 53,118, 54)( 57,119, 99)( 59, 88,138)( 63,114,131)( 65,123,107)
78        ( 68,102, 86)( 71, 83,153)( 74, 76,109)( 75,137, 89)( 90, 98,125)
79        ( 91,113,151)( 92,147, 93)(100,111,141)(104,127,108)(116,124,121)
80        (120,146,150)(128,140,143) ] ],
81[ 3, 3201186852864000, 1, "2", [ [ 32, 1 ], [ 120, 1 ] ], 1, "Alt(18)",
82  [ "A", 18, 1 ],
83  [ (  1, 35, 65, 59,113, 96, 79, 36, 42,120, 95,103, 60, 67, 14)
84        (  2,130, 66, 43, 58,136, 16, 49,141,114,133,146, 45, 61, 30)
85        (  3,105,107,108, 86,  7,  9, 27,151, 71,140, 28, 89, 33, 20)
86        (  4,125, 84, 44, 93, 34,119, 13,101, 80, 83, 77, 37,116, 12)
87        (  5, 81, 18,138, 26,152, 41, 38, 10,  6, 63,142,127, 52,126)
88        (  8,102, 87, 94, 76,144, 64, 53,147, 90,110,115, 51, 78,121)
89        ( 11, 55, 40)( 15,145, 68, 88,143, 47, 25, 29,124, 54,129, 21, 70, 19,
90         72)( 17,104, 46, 91, 48, 85, 97,128,139,148,122, 69, 74, 62, 82)
91        ( 22,109, 24,111,137, 75, 50, 98,112, 23, 92, 39, 73, 32,123)
92        ( 31,153, 56, 99,135,131,118, 57,117,132,106,149,100,150,134),
93      (  1, 92,104, 79,  8, 35,125,145,143, 86, 40, 10, 30)(  2, 49, 65, 89,
94         136, 63, 18,135,  6,112,124, 70, 14)(  3,106,105, 11,116, 72, 25,147,
95         109, 16,120, 53,148)(  4,141, 85,  5,139, 27,142, 19,121, 81,151, 61,
96         12)(  7, 24, 42,102,138, 67, 47, 15, 13,111,  9, 74, 38)
97        ( 17, 95, 41, 76, 21, 54, 22, 90, 64,114, 45, 62, 48, 39,115, 71, 96,
98          26, 28, 46, 56,100,134, 31, 34, 80)( 20, 36,101,119,149, 99, 23,130,
99         29, 57, 55,126, 33)( 37,117,118, 87, 75,127, 58, 68, 88, 97,128,122,
100          94, 51, 98,137, 69, 66,108, 50, 52,107, 78,131,132, 84)( 44, 77)
101        ( 59, 60)( 73,123,144,110,150, 83,129, 93,140,152,153, 91, 82)
102        (103,113)(133,146) ] ],
103[ 4, 6402373705728000, 0, "2", [ [ 32, 1 ], [ 120, 1 ] ], 1, "Sym(18)",
104  [ "A", 18, 1 ],
105  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82)
106        (  4,  6,  8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92,
107          91)(  9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,102,
108         101,110)( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,103,112,
109         111,120,129)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,104,113,122,
110         121,130,138,144)( 36, 42, 48, 55, 62, 70, 78, 87, 96,105,114,123,132,
111         131,139,145,149,152)( 49, 56, 63, 71, 79, 88, 97,106,115,124,133,119,
112         128,137,143,148,151,153)( 64, 72, 80, 89, 98,107,116,125,134,140,100,
113         109,118,127,136,142,147,150)( 81, 90, 99,108,117,126,135,141,146),
114      (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
115        ( 82, 91)( 90,100)( 92,101)(102,111)(109,119)(112,121)(122,131)
116        (128,132) ] ],
117[5, Factorial(153)/2,1,"2",[[152,1]],151, "Alt(153)", ["A",153, 1], "Alt"],
118[6, Factorial(153),0,"2",[[152, 1]],153, "Sym(153)", ["A",153, 1], "Sym"]];
119PRIMGRP[154]:=
120[[1, Factorial(154)/2,1,"2",[[153,1]],152, "Alt(154)", ["A",154, 1], "Alt"],
121[2, Factorial(154),0,"2",[[153, 1]],154, "Sym(154)", ["A",154, 1], "Sym"]];
122PRIMGRP[155]:=
123[[ 1, 9999360, 1, "2", [ [ 112, 1 ], [ 42, 1 ] ], 1, "PSL(5, 2)",
124  [ "L", [ 5, 2 ], 1 ],
125  [ (  1,  2)(  3,  5)(  4,  6)(  7, 10)(  8, 12)(  9, 14)( 11, 17)( 13, 20)
126        ( 15, 22)( 16, 24)( 18, 27)( 19, 28)( 23, 32)( 25, 35)( 26, 36)
127        ( 29, 37)( 30, 39)( 31, 41)( 33, 44)( 34, 45)( 38, 46)( 40, 51)
128        ( 42, 54)( 43, 56)( 47, 61)( 48, 55)( 49, 57)( 50, 65)( 52, 68)
129        ( 53, 69)( 58, 59)( 60, 76)( 62, 70)( 63, 80)( 64, 77)( 66, 83)
130        ( 67, 85)( 71, 89)( 72, 91)( 73, 92)( 74, 84)( 75, 86)( 79, 99)
131        ( 82,101)( 88,107)( 90,110)( 93,102)( 95,111)( 96,116)( 98,118)
132        (103,123)(106,126)(109,129)(132,142)(144,149)(148,152),
133      (  1,  3,  5,  8, 13)(  2,  4,  7, 11, 18)(  6,  9, 15, 23, 33)
134        ( 10, 16, 25, 20, 28)( 12, 19, 29, 24, 34)( 14, 21, 30, 40, 52)
135        ( 17, 26, 37, 48, 63)( 22, 31, 42, 55, 72)( 27, 38, 49, 64, 81)
136        ( 32, 43, 57, 74, 94)( 35, 46, 60, 77, 97)( 36, 47, 62, 79,100)
137        ( 39, 50, 66, 84,104)( 41, 53, 70, 88,108)( 44, 58, 75, 95,115)
138        ( 45, 59, 76, 96,117)( 51, 67, 86,105,125)( 54, 71, 90,111,131)
139        ( 56, 73, 93,114,134)( 61, 78, 98,119, 68)( 65, 82,102,122,138)
140        ( 69, 87,106,127,141)( 80, 89,109,116,135)( 83,103,124,118,136)
141        ( 85, 92,113,133,145)( 91,112,132,144,150)( 99,120,129,123,139)
142        (101,121,137,146,151)(107,128,142,148,153)(110,130,143,149,154)
143        (126,140,147,152,155) ] ],
144[2, Factorial(155)/2,1,"2",[[154,1]],153, "Alt(155)", ["A",155, 1], "Alt"],
145[3, Factorial(155),0,"2",[[154, 1]],155, "Sym(155)", ["A",155, 1], "Sym"]];
146PRIMGRP[156]:=
147[[ 1, 4680000, 1, "2", [ [ 125, 1 ], [ 30, 1 ] ], 1, "PSp(4, 5)",
148  [ "B", [ 2, 5 ], 1 ],
149  [ (  1,  6, 92)(  2,127)(  3,120)(  4,155, 28, 84,129, 55, 64, 71, 46, 89,
150          58, 79)(  5, 20, 62, 36, 99, 67,114, 49,126, 26,128,140)
151        (  7, 61, 21,134, 73, 75, 17,110,125, 44, 91,144)(  8, 18, 72, 78, 68,
152         52,147, 12, 95, 22,142, 53)(  9, 57, 87,102, 33,151,133, 14,109, 41,
153         105, 54)( 10,119, 13, 16,118,149, 38,141, 31, 76,148, 94)
154        ( 11, 37, 59,115, 27,156, 15,124, 25,121, 23, 60)( 19,132, 40,107, 34,
155         103, 63, 70, 39,152,106,136)( 24,150,122,145, 82, 69, 35,138, 74, 81,
156         101, 98)( 29,111,153, 65, 45, 85, 43,113,117, 96,146, 51)
157        ( 30, 48,137,123,130,100, 93, 50, 32,135,139, 66)( 47,108, 56, 97,112,
158         143, 80,116,154,131, 77, 86)( 83, 90, 88),
159      (  1,130,156, 42, 27, 97, 58, 91, 11, 52)(  2, 29,144, 84, 21, 98, 78,
160         143, 77,111)(  3,142, 25, 37,117,125, 69, 10, 74, 53)(  4,105)
161        (  5,154,  6, 36, 35, 70,126, 39,  9, 95)(  8, 62, 79, 38,102,129,106,
162         151,146, 48)( 12,145, 64, 44,103, 31, 85,153,148, 72)
163        ( 13, 57,110,141, 59,124, 20,114,109, 75)( 14, 61,100, 83, 23, 32, 65,
164         40,133, 30)( 15, 19,131, 82, 54)( 16, 34)( 17,128,120, 26,135, 28,
165         123,113, 92,116)( 18,152, 33, 94,136, 89,118, 93, 51, 49)
166        ( 22,147, 71, 41,101, 76, 73, 45, 96, 55)( 24,132,155,122, 63,137, 50,
167         86,112, 46)( 43, 80, 81,149,115, 56,104,108, 99, 90)( 47,107,134,121,
168         87)( 60, 88, 68, 67,119,140, 66,127,139,150) ] ],
169[ 2, 9360000, 0, "2", [ [ 125, 1 ], [ 30, 1 ] ], 1, "PSp(4, 5).2",
170  [ "B", [ 2, 5 ], 1 ],
171  [ (  1, 93,104, 28,108,149,136, 34,156, 69, 25,135, 61, 35,118,128,107,137,
172         151,138,142,127, 50, 92)(  2, 53, 76,143, 46, 43, 88, 65,102, 91, 30,
173         80, 62, 77, 21, 85,117,144,101, 60,121, 49, 78,155)(  3, 97,119,116,
174          81,115, 71,105,100, 83, 32, 17,139,103, 90,113, 58, 95,122, 16,150,
175          36, 18,120)(  4,141, 26, 82,123,110)(  5,129, 33, 15, 38, 70,111,
176         114, 45,106,147,109, 29, 39,125, 19, 27, 37,152, 75, 11, 66, 51, 20)
177        (  6, 63, 68, 14,145, 56, 42, 72, 31, 10, 74, 99, 64,146, 96,132, 40,
178          67, 84, 41, 48, 44, 47,153)(  7,130, 98,148)(  8,154, 79, 59, 94,
179          87, 23, 54, 24,133, 52,124, 86, 55,140, 13, 12, 73,134,131, 22,112,
180           9, 57), (  1, 62, 60,107, 23,106,129, 18, 15, 89)(  2,156,138,108,
181          27, 45, 39, 12, 31,110)(  3,101, 25,121, 74, 91, 16, 77,117, 26)
182        (  4,104, 20,  8,113,137, 17, 21,114, 54)(  5,149,  7,  6, 97, 86,111,
183         118, 49, 76)(  9,141,127, 93, 56, 95,135, 66, 58, 37)
184        ( 10, 55, 71,128,144, 63, 57, 22,103,143)( 11, 40, 48, 61,126, 83,134,
185         34,116, 32)( 13,109,147,132, 46, 36, 44, 79, 29, 94)( 14, 28, 75,151,
186         35,154,155, 85, 38,146)( 19, 84, 80, 51, 70,133,142,150,140, 43)
187        ( 24,136)( 30, 69)( 33, 96,139, 82, 42, 47, 73, 41, 53,153)
188        ( 50,115,123,120,125, 65,152,148, 90,145)( 52,119, 81,124, 78, 98, 92,
189         100, 67, 72)( 59, 87,102,122, 99,105,112, 68,130, 88)( 64,131) ] ],
190[ 3, 4680000, 1, "2", [ [ 125, 1 ], [ 30, 1 ] ], 1, "PSp(4, 5)",
191  [ "B", [ 2, 5 ], 1 ],
192  [ (  1,106, 65,127, 39,116, 60, 45,105, 33, 27, 38, 48, 92,109)
193        (  2,114,108, 57, 80,135,125,134,  7,  5, 79, 43,133, 98, 62)
194        (  3, 64, 53,  6, 16, 50, 28, 37,147, 78, 70,110, 61,119,136)
195        (  4, 71, 69,149,122, 54,111, 41,154,129, 24, 44,121, 84, 32)
196        (  8, 17,153, 67,138,155, 40, 29,156, 95, 52, 55,104,142,132)
197        (  9, 63, 59,124, 86,151, 74, 20,120, 58, 19, 35, 99,118, 26)
198        ( 10,131, 46,143,144, 87, 75,130, 68,113, 23,150, 89, 34, 13)
199        ( 11, 14,112,102, 90, 30,145, 72, 25, 73,123,152, 93, 88, 42)
200        ( 12,141, 83,115,137, 21,126,101, 81,128, 49,100, 96, 82,107)
201        ( 15, 94, 66)( 18, 31,146, 76,140, 85, 36, 77, 47,103,117, 56, 91, 22,
202         97)( 51,139,148), (  1,144,  2, 74, 60, 57, 47, 99,134, 65,123, 80,
203         109)(  3,138, 72, 88, 32,  6, 34,131,137, 13, 62, 56, 97)
204        (  4, 23, 29, 98,105, 44,146, 25,140, 70, 15,115, 89)(  5,112,117,110,
205         19,119, 94,139, 12, 86, 24, 75,111)(  7, 76,147, 95, 33, 35,156,124,
206          11, 84,100, 49,106)(  8, 79,116,114, 38, 73, 92,107,125, 78,133, 18,
207         39)(  9, 69,152, 31, 87, 20, 68, 10,121, 17, 48, 52,154)
208        ( 14, 93, 53, 81,130,120,155, 91, 37,148,128, 43, 58)( 16, 66,126, 83,
209         26, 55, 85, 36,122,104, 90,127,101)( 21,142,145, 64, 51, 96, 67, 54,
210         103, 46, 40,102,150)( 22, 41,118, 27,113,149, 82, 50,108, 61,151,153,
211         42)( 28,141, 71,135, 30, 77, 45, 63,136,143,129, 59,132) ] ],
212[ 4, 9360000, 0, "2", [ [ 125, 1 ], [ 30, 1 ] ], 1, "PSp(4, 5).2",
213  [ "B", [ 2, 5 ], 1 ],
214  [ (  1, 63,110,153, 35, 66,  5, 85, 62,122, 54, 60, 76,  4,107, 61,139, 59,
215         130, 77, 46, 44,118, 87)(  2, 28,115, 84,143, 14, 67,137,100, 80, 65,
216         27,142, 95,101,  9, 98, 47, 92,138, 90, 89,103,145)(  3,128, 99, 36,
217          97, 25)(  6, 96,154,156,151, 34,113, 75, 55,120,131,127, 93, 57,124,
218         40,148, 82,134, 79, 39, 51, 17,109)(  7,105,155, 26,144, 58,111, 56,
219         129,140, 33,117, 18,150, 73, 15, 12, 20, 41,147, 69,136,135, 81)
220        (  8,141,132, 94, 23,106, 29, 37, 32,152, 48, 16)( 10, 24, 78,126,149,
221         88, 83, 31, 38,104, 49, 68,114, 19, 45, 52, 74, 53,146, 72, 43,102,
222         133, 91)( 11,125, 42, 21, 71,116)( 13,123, 86, 70, 30,121, 50,119,
223          22,108,112, 64), (  1, 38, 42,101,121, 67,134, 96, 24, 93)
224        (  2, 83, 20,146, 28, 32,123,105, 94,128)(  3,125, 14, 63,148)
225        (  4, 46)(  5,151,118, 47, 61, 70, 90,131, 51, 99)(  6,108, 88,114,
226         139, 25, 57,147, 86, 85)(  7, 41, 95,140,142, 55, 82, 48,136, 11)
227        (  8,122, 26, 75, 16, 33,137, 21,149, 69)(  9, 98,115, 73, 65, 30,144,
228         91, 89,106)( 10, 13)( 12,109,152, 52, 80)( 15, 97)( 17, 87)
229        ( 18, 39, 58,111, 34)( 19, 56, 78,132, 72, 27, 66, 36,133, 77)
230        ( 22,155, 62,143, 50)( 23, 76, 60,113, 71, 45, 74, 40,138, 49)
231        ( 29, 81, 59,135,156,129, 31,110, 37, 54)( 35,104, 43,130,103,117,127,
232         44,116,112)( 53,141, 64, 79,126,107, 84,153, 92,124)( 68,145)
233        (100,154,119,102,120) ] ],
234[ 5, 7254000000, 1, "2", [ [ 155, 1 ] ], 2, "PSL(4, 5)", [ "L", [ 4, 5 ], 1 ],
235  [ (  5,145,153, 42)(  6, 40,126, 79)(  7,128, 76, 55)(  8, 92,110,142)
236        (  9, 67,138,117)( 10, 57,115, 11)( 12,136,102,130)( 13,156,144, 38)
237        ( 14, 39,140, 35)( 15, 48, 60, 43)( 16, 19,147, 51)( 17, 85, 86,108)
238        ( 18,143, 68,105)( 20, 44, 88, 34)( 21, 59, 78,112)( 22,154, 36,122)
239        ( 23, 29, 41,111)( 24, 73)( 25, 99, 74, 90)( 27,116,123, 81)
240        ( 28,101,118, 61)( 30, 45, 96,151)( 31,152, 97, 46)( 32,121, 47,125)
241        ( 33,113,146,141)( 37,107,127, 70)( 49, 87,114,131)( 50, 66,135,134)
242        ( 52, 65, 69, 71)( 53,129,119,109)( 54,104,148,149)( 56, 62,106, 64)
243        ( 58,139,150,120)( 63, 82, 93,103)( 72, 77, 95,124)( 80, 83,155,133)
244        ( 84,132, 94,137)( 89, 98),
245      (  1,150, 85,105, 79, 78, 88, 93, 55,143, 22, 21, 41,103, 84,126,125,
246          34,135, 61, 68, 54,146,145, 72, 75, 74, 73,  4,  3,  2)
247        (  5, 13, 91, 90, 89, 58,134,119, 27, 10, 48, 47, 23, 56,149,109,141,
248         140,124, 82, 57, 18, 69,110, 71,154,153, 77,106, 65,  6)
249        (  7, 52, 80,  8,104,130,115, 33, 32, 20, 64, 16,123,137, 28, 11,117,
250         113,112, 46, 45, 29,108,138, 87, 70,147, 51, 83,128,  9)
251        ( 12, 36, 35, 97, 96, 95, 26, 25, 24,120, 63, 49,131,101, 67, 60, 59,
252         152,151, 44, 17,133,114, 76,148, 43, 42, 38, 50,107,116)
253        ( 14,144,100, 99, 98,139, 62, 81, 53, 19,142,136,132,127, 37,118, 94,
254         122,121,111, 66,102, 40, 39, 31, 30,156, 86, 92,129, 15) ] ],
255[ 6, 14508000000, 0, "2", [ [ 155, 1 ] ], 2, "PSL(4, 5).2",
256  [ "L", [ 4, 5 ], 1 ],
257  [ (  5,145,153, 42)(  6, 40,126, 79)(  7,128, 76, 55)(  8, 92,110,142)
258        (  9, 67,138,117)( 10, 57,115, 11)( 12,136,102,130)( 13,156,144, 38)
259        ( 14, 39,140, 35)( 15, 48, 60, 43)( 16, 19,147, 51)( 17, 85, 86,108)
260        ( 18,143, 68,105)( 20, 44, 88, 34)( 21, 59, 78,112)( 22,154, 36,122)
261        ( 23, 29, 41,111)( 24, 73)( 25, 99, 74, 90)( 27,116,123, 81)
262        ( 28,101,118, 61)( 30, 45, 96,151)( 31,152, 97, 46)( 32,121, 47,125)
263        ( 33,113,146,141)( 37,107,127, 70)( 49, 87,114,131)( 50, 66,135,134)
264        ( 52, 65, 69, 71)( 53,129,119,109)( 54,104,148,149)( 56, 62,106, 64)
265        ( 58,139,150,120)( 63, 82, 93,103)( 72, 77, 95,124)( 80, 83,155,133)
266        ( 84,132, 94,137)( 89, 98),
267      (  1,150, 85,105, 79, 78, 88, 93, 55,143, 22, 21, 41,103, 84,126,125,
268          34,135, 61, 68, 54,146,145, 72, 75, 74, 73,  4,  3,  2)
269        (  5, 13, 91, 90, 89, 58,134,119, 27, 10, 48, 47, 23, 56,149,109,141,
270         140,124, 82, 57, 18, 69,110, 71,154,153, 77,106, 65,  6)
271        (  7, 52, 80,  8,104,130,115, 33, 32, 20, 64, 16,123,137, 28, 11,117,
272         113,112, 46, 45, 29,108,138, 87, 70,147, 51, 83,128,  9)
273        ( 12, 36, 35, 97, 96, 95, 26, 25, 24,120, 63, 49,131,101, 67, 60, 59,
274         152,151, 44, 17,133,114, 76,148, 43, 42, 38, 50,107,116)
275        ( 14,144,100, 99, 98,139, 62, 81, 53, 19,142,136,132,127, 37,118, 94,
276         122,121,111, 66,102, 40, 39, 31, 30,156, 86, 92,129, 15),
277      (  5,125)(  7, 51)(  8,127)(  9,102)( 10, 69)( 11, 65)( 12,138)( 13,124)
278        ( 14, 59)( 16,128)( 17, 86)( 18,129)( 19, 76)( 20, 41)( 21, 35)
279        ( 23, 88)( 24, 73)( 27,131)( 28,155)( 29, 34)( 30, 96)( 32,145)
280        ( 37,110)( 38, 95)( 39, 78)( 42, 47)( 44,111)( 45,151)( 49,116)
281        ( 50,135)( 52,115)( 53,105)( 54,137)( 55,147)( 56,106)( 57, 71)
282        ( 58,150)( 61, 83)( 62, 64)( 63, 93)( 66,134)( 67,130)( 68,109)
283        ( 70, 92)( 72,156)( 77,144)( 80,118)( 81,114)( 82,103)( 84,104)
284        ( 85,108)( 87,123)( 89, 98)( 94,149)(101,133)(107,142)(112,140)
285        (117,136)(119,143)(120,139)(121,153)(132,148) ] ],
286[ 7, 29016000000, 0, "2", [ [ 155, 1 ] ], 2, "PGL(4, 5)",
287  [ "L", [ 4, 5 ], 1 ],
288  [ (  5, 78,125, 39)(  7,  9, 51,102)(  8, 65,127, 11)( 10, 92, 69, 70)
289        ( 12, 76,138, 19)( 13, 44,124,111)( 14, 42, 59, 47)( 16,130,128, 67)
290        ( 17, 85, 86,108)( 18,116,129, 49)( 20, 95, 41, 38)( 21,121, 35,153)
291        ( 23,156, 88, 72)( 24, 89, 73, 98)( 27, 53,131,105)( 28, 94,155,149)
292        ( 29,144, 34, 77)( 30, 45, 96,151)( 32,140,145,112)( 37, 57,110, 71)
293        ( 50, 66,135,134)( 52,107,115,142)( 54,101,137,133)( 55,117,147,136)
294        ( 56, 62,106, 64)( 58,139,150,120)( 61,132, 83,148)( 63, 82, 93,103)
295        ( 68, 81,109,114)( 80,104,118, 84)( 87,143,123,119),
296      (  1,150, 85,105, 79, 78, 88, 93, 55,143, 22, 21, 41,103, 84,126,125,
297          34,135, 61, 68, 54,146,145, 72, 75, 74, 73,  4,  3,  2)
298        (  5, 13, 91, 90, 89, 58,134,119, 27, 10, 48, 47, 23, 56,149,109,141,
299         140,124, 82, 57, 18, 69,110, 71,154,153, 77,106, 65,  6)
300        (  7, 52, 80,  8,104,130,115, 33, 32, 20, 64, 16,123,137, 28, 11,117,
301         113,112, 46, 45, 29,108,138, 87, 70,147, 51, 83,128,  9)
302        ( 12, 36, 35, 97, 96, 95, 26, 25, 24,120, 63, 49,131,101, 67, 60, 59,
303         152,151, 44, 17,133,114, 76,148, 43, 42, 38, 50,107,116)
304        ( 14,144,100, 99, 98,139, 62, 81, 53, 19,142,136,132,127, 37,118, 94,
305         122,121,111, 66,102, 40, 39, 31, 30,156, 86, 92,129, 15) ] ],
306[8, Factorial(156)/2,1,"2",[[155,1]],154, "Alt(156)", ["A",156, 1], "Alt"],
307[9, Factorial(156),0,"2",[[155, 1]],156, "Sym(156)", ["A",156, 1], "Sym"]];
308PRIMGRP[157]:=
309[[ 1, 157, 3, "1", [ [ 1, 156 ] ], 1, "C(157)", [ "Z", 157, 1 ], [  ] ],
310[ 2, 314, 2, "1", [ [ 2, 78 ] ], 1, "D(2*157)", [ "Z", 157, 1 ],
311  [ [ [ Z(157)^78 ] ] ] ],
312[ 3, 471, 2, "1", [ [ 3, 52 ] ], 1, "157:3", [ "Z", 157, 1 ],
313  [ [ [ Z(157)^52 ] ] ] ],
314[ 4, 628, 2, "1", [ [ 4, 39 ] ], 1, "157:4", [ "Z", 157, 1 ],
315  [ [ [ Z(157)^39 ] ] ] ],
316[ 5, 942, 2, "1", [ [ 6, 26 ] ], 1, "157:6", [ "Z", 157, 1 ],
317  [ [ [ Z(157)^26 ] ] ] ],
318[ 6, 1884, 2, "1", [ [ 12, 13 ] ], 1, "157:12", [ "Z", 157, 1 ],
319  [ [ [ Z(157)^13 ] ] ] ],
320[ 7, 2041, 2, "1", [ [ 13, 12 ] ], 1, "157:13", [ "Z", 157, 1 ],
321  [ [ [ Z(157)^12 ] ] ] ],
322[ 8, 4082, 2, "1", [ [ 26, 6 ] ], 1, "157:26", [ "Z", 157, 1 ],
323  [ [ [ Z(157)^6 ] ] ] ],
324[ 9, 6123, 2, "1", [ [ 39, 4 ] ], 1, "157:39", [ "Z", 157, 1 ],
325  [ [ [ Z(157)^4 ] ] ] ],
326[ 10, 8164, 2, "1", [ [ 52, 3 ] ], 1, "157:52", [ "Z", 157, 1 ],
327  [ [ [ Z(157)^3 ] ] ] ],
328[ 11, 12246, 2, "1", [ [ 78, 2 ] ], 1, "157:78", [ "Z", 157, 1 ],
329  [ [ [ Z(157)^2 ] ] ] ],
330[ 12, 24492, 2, "1", [ [ 156, 1 ] ], 2, "AGL(1, 157)", [ "Z", 157, 1 ],
331  [ [ [ Z(157) ] ] ] ],
332[13, Factorial(157)/2,1,"2",[[156,1]],155, "Alt(157)", ["A",157, 1], "Alt"],
333[14, Factorial(157),0,"2",[[156, 1]],157, "Sym(157)", ["A",157, 1], "Sym"]];
334PRIMGRP[158]:=
335[[ 1, 1934868, 1, "2", [ [ 157, 1 ] ], 2, "PSL(2, 157)",
336  [ "L", [ 2, 157 ], 1 ], "psl" ],
337[ 2, 3869736, 0, "2", [ [ 157, 1 ] ], 3, "PGL(2, 157)",
338  [ "L", [ 2, 157 ], 1 ], "pgl" ],
339[3, Factorial(158)/2,1,"2",[[157,1]],156, "Alt(158)", ["A",158, 1], "Alt"],
340[4, Factorial(158),0,"2",[[157, 1]],158, "Sym(158)", ["A",158, 1], "Sym"]];
341PRIMGRP[159]:=
342[[1, Factorial(159)/2,1,"2",[[158,1]],157, "Alt(159)", ["A",159, 1], "Alt"],
343[2, Factorial(159),0,"2",[[158, 1]],159, "Sym(159)", ["A",159, 1], "Sym"]];
344PRIMGRP[160]:=
345[[1, Factorial(160)/2,1,"2",[[159,1]],158, "Alt(160)", ["A",160, 1], "Alt"],
346[2, Factorial(160),0,"2",[[159, 1]],160, "Sym(160)", ["A",160, 1], "Sym"]];
347PRIMGRP[161]:=
348[[1, Factorial(161)/2,1,"2",[[160,1]],159, "Alt(161)", ["A",161, 1], "Alt"],
349[2, Factorial(161),0,"2",[[160, 1]],161, "Sym(161)", ["A",161, 1], "Sym"]];
350PRIMGRP[162]:=
351[[ 1, 3265920, 1, "2", [ [ 56, 1 ], [ 105, 1 ] ], 1, "PSU(4, 3)",
352  [ "2A", [ 3, 3 ], 1 ],
353  [ (  1, 18,118, 78,109,124, 67)(  2, 19,107, 83,110,153, 98)
354        (  3, 16, 40,157, 69, 26, 45)(  4,108,140,151,104, 99, 10)
355        (  5, 80,119,143, 48,122, 14)(  6, 36,134,135,128,102, 44)
356        (  7, 79,161, 28,132, 25,142)(  8, 90, 65, 82,103,146, 50)
357        (  9,139, 38, 66,160,138, 85)( 11,141,121, 52,159, 93, 37)
358        ( 12, 94,144,111, 35,136, 88)( 13, 46, 47, 57,120, 96,152)
359        ( 15,154, 30,123,125,126, 29)( 17,155, 72, 55,158,150,116)
360        ( 20, 71, 95, 59, 77, 91, 81)( 21,101, 76, 27, 73, 63, 23)
361        ( 22, 31,115, 75, 61, 64, 86)( 24, 60, 87, 53,137, 41, 68)
362        ( 32, 74,105, 58, 62,133,113)( 33,145,127, 42,148, 56,112)
363        ( 34, 92, 97, 84,131, 70,129)( 39,130, 49, 51,149,100, 43)
364        ( 54,156,147,106,117, 89,162), (  1, 92, 25, 30,128, 55, 14,133)
365        (  2, 33,119,139)(  3,104, 89, 12, 71, 37, 66, 59)(  4, 74, 80, 99,
366         141,147,143, 58)(  5, 91,125, 43, 81,124,116, 93)(  6,105,120,149,
367          47, 90,144, 70)(  7,  9,114,106, 32,142,111, 35)(  8,118, 97,101,
368          68, 96, 15, 34)( 10, 62, 95, 76,162, 45,115,140)( 11, 52, 57,156,
369          16,112, 26, 38)( 13,146, 20, 75)( 17, 60,110, 78, 88, 42, 84, 39)
370        ( 18,159, 22,127, 27, 50,150,158)( 19,107, 28, 51, 69,157, 24, 40)
371        ( 21, 53, 72,109, 73, 85,132,153)( 23, 98, 54, 48,161,117,145,126)
372        ( 29,134, 49, 79)( 31,103, 46, 61, 41,160,152,100)( 36,138,123,131,
373         136,102, 82, 77)( 44,129)( 56,155,137, 65,154,108, 94, 64)
374        ( 63,122, 67, 87,148, 86,130,135)( 83,113)(121,151) ] ],
375[ 2, 6531840, 0, "2", [ [ 56, 1 ], [ 105, 1 ] ], 1, "PSU(4, 3).2",
376  [ "2A", [ 3, 3 ], 1 ],
377  [ (  1, 61, 81, 76, 92, 73,144, 57,146, 26, 44, 30)(  2, 35, 36,120,123,162,
378         117,  3,108,140,  6,139)(  4,153,110, 24, 52,121)(  5,127, 69,114,
379          49,111,112, 70, 71, 58, 46, 47)(  7,133,135,154, 93,105, 78, 17, 27,
380         22, 94, 65)(  8,150, 59,131, 98, 10,148, 37,158, 21,132, 84)
381        (  9, 83,125, 86, 68,155, 34,102,149, 11, 51, 25)( 12, 55,109, 74, 32,
382         48,107, 85,138, 20, 75,115)( 13, 38,145,142,157,130, 87,136, 28, 33,
383         116, 99)( 14,134, 40,147, 63,118, 80,159, 43, 31,137, 88)
384        ( 15,124,113,161,143, 96, 45,152, 54,129,156, 77)( 16,106, 62,151, 82,
385         100, 29,126, 79, 90, 67,128)( 18,122, 72)( 19, 23, 56, 50,104,160,
386          95, 66,103,141, 42, 60)( 39, 64, 97, 89,101, 53)( 41, 91,119),
387      (  1, 16, 97, 39, 27,123, 78,138)(  2,148, 29,153,119, 24,135, 60)
388        (  3,122,155,129)(  4, 72, 52, 90,136,120, 84,105)(  5,145,102, 35,
389         110,131, 55,142)(  6, 98, 58, 95,132,144,156, 12)(  7, 47,109,114,
390          63,117, 30, 19)(  8,143,107,160, 54, 43, 40, 62)(  9,161,134, 34,
391          51,133, 83,159)( 10, 74,124, 38,115, 88,118, 22)( 11, 87,128, 71,
392          96, 49,147,140)( 13, 37,125, 20,152,162,150, 46)( 14,146, 32, 80,
393          81, 44, 67, 57)( 15,103,101, 26, 92, 66,141,127)( 17,126,130,157,
394          18, 21, 28,106)( 23, 56, 91,158, 42, 94, 82, 93)( 25, 68, 99, 33,
395         112, 85,116, 64)( 31, 48,154, 86)( 36,121, 59, 45, 50, 70,104, 61)
396        ( 41, 76, 75,108)( 53,151,139,100, 77,149, 65, 89)( 73,137,113, 79) ]
397 ],
398[ 3, 6531840, 0, "2", [ [ 56, 1 ], [ 105, 1 ] ], 1, "PSU(4, 3).2",
399  [ "2A", [ 3, 3 ], 1 ],
400  [ (  1,145, 66,130, 81, 68, 23, 28)(  2, 96,134, 82)(  3, 22, 94, 97, 48,
401         106,114,117)(  4, 42,113, 30,159,103, 75, 61)(  5, 15,138,112,128,
402          98,132, 17)(  6,104,133, 26, 39, 95,100, 57)(  7,109,131, 52, 63,
403          45, 85, 88)(  8, 71,154, 32, 54,126, 69,148)(  9,105,157,101,116,
404          90, 38, 36)( 10,151,121, 59,162, 49, 29, 12)( 11, 91)
405        ( 13,147, 87,107, 33,110,149,156)( 14, 34, 74, 86, 27,136, 84,122)
406        ( 16, 31,124,108)( 18, 20,125, 70, 25,139,142,135)( 19, 51, 73,102,
407          56, 99, 76, 72)( 21, 53, 24,137,140, 77, 67,111)( 35, 58, 62, 89,
408         150, 40,153,161)( 37, 92, 43, 60,115,144, 93,160)( 41,155)
409        ( 44, 55,141, 47,146,120, 50, 78)( 46,127,158, 64, 65, 80,143,152)
410        ( 79,123,129,118), (  1, 62,160, 73, 27)(  2, 84, 52,121,  7)
411        (  3, 41,  5, 12,110)(  4,113,  9, 96, 93)(  6,139,102,152,118)
412        (  8, 70,119, 59,106)( 10,151,141,127, 55)( 11, 49,130,158, 69)
413        ( 13, 26,145,162, 35)( 14,154, 39,147,148)( 15, 38, 53,125,150)
414        ( 16, 19,109, 31,159)( 17,146, 29,126,143)( 18,105,114, 25,161)
415        ( 20, 58, 76, 98,129)( 21, 33,112,123,153)( 22, 75, 92, 77,108)
416        ( 23, 99,104, 63, 54)( 24, 61, 57, 47, 91)( 28, 48, 87, 51,136)
417        ( 30, 90, 43, 60, 34)( 32, 72,120, 86, 67)( 36, 79,140, 80,134)
418        ( 37,155,131,101, 88)( 40, 97,117, 71, 50)( 42,157,116, 56, 94)
419        ( 44,133, 64,135,137)( 45,128, 68,107, 83)( 46,144,156, 66,103)
420        ( 65,122,132, 89,115)( 74,149,100,124,142)( 78, 85,138, 81, 82) ] ],
421[ 4, 6531840, 0, "2", [ [ 56, 1 ], [ 105, 1 ] ], 1, "PSU(4, 3).2",
422  [ "2A", [ 3, 3 ], 1 ],
423  [ (  1, 25,157,121, 51,114,111)(  2, 91,152,145, 63, 81, 88,133, 57,150,142,
424         80,104,132)(  3, 34, 20, 13,102,146, 96)(  4, 35, 94,106, 41, 72,144,
425         158, 53, 16,117, 76,  9,103)(  5, 87, 52, 43,161, 36,116, 12,136,  8,
426         137, 21, 90, 99)(  6, 69, 50, 17, 98,147,108,100,113, 56, 54,110, 59,
427         22)(  7,107, 14, 78, 60, 32,134, 29,128, 40, 79, 42, 49, 39)
428        ( 10, 75,131,101, 71, 95, 89, 77,151,115,118,138, 66,162)
429        ( 11,159,123, 83, 27, 31, 37,130,148,105, 33, 62, 97, 74)
430        ( 15, 67, 30, 44, 85,156, 38, 65, 93,119, 19, 84, 46,155)
431        ( 18, 82,112,109,154, 64,149, 68,135, 45,126,143,140,122)
432        ( 23, 61, 55,124, 86, 58,153)( 24,160,139,125, 47, 26, 48)
433        ( 28, 73, 70,129,127,120,141), (  1,107,136,127, 57,138, 71, 88)
434        (  2,  4,109,160, 48,137, 42,123)(  3,134, 51, 12,124,130, 47,115)
435        (  5, 39,131, 11)(  6,140)(  7,113, 34,133, 17, 30,105,114)
436        (  8, 38, 37,156,120, 13,103,150)(  9, 31, 41, 56, 67, 82, 98, 85)
437        ( 10,151, 52, 58, 53,122,157,155)( 14, 26, 36, 63, 72, 95, 84,112)
438        ( 15, 75, 77, 99,129,152, 74,121)( 16, 69, 43, 73, 28,126, 29,161)
439        ( 18,100,141,148, 68,145, 55, 64)( 19,111,153, 44)( 20,125, 22,108)
440        ( 21, 25, 60,158,146, 94,119, 54)( 23, 70)( 24,106, 33,110, 49,135,
441          80,118)( 27,128,132, 91, 87, 62, 92, 96)( 32, 97, 59, 89, 61, 81,
442          45, 76)( 35,116, 65,149,144, 86,102, 46)( 40,117,162, 90, 79,104,
443         101,154)( 50, 83, 78,139,143,147, 93, 66)(142,159) ] ],
444[ 5, 13063680, 0, "2", [ [ 56, 1 ], [ 105, 1 ] ], 1, "PSU(4, 3).2^2",
445  [ "2A", [ 3, 3 ], 1 ],
446  [ (  1,111, 36, 84, 96, 85, 49, 50, 19, 57, 91,143, 90, 61)(  2,149, 71,132,
447         128, 67, 98, 69, 75,110, 93, 76, 79, 82)(  3, 17,104,107, 87, 77, 55,
448         159, 16, 41, 81, 97,157, 11)(  4,144, 29,146,156, 31,  8, 25, 52, 54,
449         161, 86,162, 35)(  5, 47, 12, 18, 13,129, 51, 68,142,115,131,155, 65,
450         6)(  7, 80,101, 89, 22, 78,114, 94, 66,117,136,125, 88,119)
451        (  9, 37,134, 43, 73,158, 20)( 10,152,112, 40, 42,148, 34)
452        ( 14, 45, 83, 72, 53, 28,118, 92, 26, 63,127,103,137, 62)
453        ( 15, 38,102,145,100, 58,153)( 21,130, 46, 30,123,147,108)
454        ( 23, 32,154, 24, 44, 56, 70)( 27,109,140,116, 33, 48,150,106,113,124,
455         151, 95, 60,121)( 39,105,138,139,120,122,133,141,160,135, 59, 74, 99,
456         126), (  1, 21,137, 11, 14, 48, 17,133, 62, 37)(  2, 13, 49, 73, 89,
457          43,157, 76, 96, 29)(  3, 31,114,140, 88,111,145, 61, 33, 60)
458        (  4, 24, 59,132, 64,110,146,149, 42, 83)(  5,154, 82, 32, 54,  9, 16,
459         10, 41,161)(  6,116, 65, 56,115, 79, 68, 22, 50,117)(  7, 77, 70,113,
460         156,162,135,124, 66, 87)(  8,152, 30, 18,100, 52,128,119, 99, 78)
461        ( 12, 74,105, 69, 94, 72, 40, 85, 95,143)( 15,150,106, 63, 75,108,107,
462         131,151, 80)( 19, 34,127, 36,139)( 20, 26,148, 38, 67, 86, 92,138,
463         155,144)( 23,123, 55, 27,136,141, 84,153,130, 46)( 25,126, 90, 44,109
464         )( 28, 47,125,104, 35,160,102,121, 53, 81)( 39,129,112,159,103, 45,
465          51,134, 71, 93)( 57, 98, 97,122, 91,101,158,142,147,118)( 58,120) ]
466 ],
467[6, Factorial(162)/2,1,"2",[[161,1]],160, "Alt(162)", ["A",162, 1], "Alt"],
468[7, Factorial(162),0,"2",[[161, 1]],162, "Sym(162)", ["A",162, 1], "Sym"]];
469PRIMGRP[163]:=
470[[ 1, 163, 3, "1", [ [ 1, 162 ] ], 1, "C(163)", [ "Z", 163, 1 ], [  ] ],
471[ 2, 326, 2, "1", [ [ 2, 81 ] ], 1, "D(2*163)", [ "Z", 163, 1 ],
472  [ [ [ Z(163)^81 ] ] ] ],
473[ 3, 489, 2, "1", [ [ 3, 54 ] ], 1, "163:3", [ "Z", 163, 1 ],
474  [ [ [ Z(163)^54 ] ] ] ],
475[ 4, 978, 2, "1", [ [ 6, 27 ] ], 1, "163:6", [ "Z", 163, 1 ],
476  [ [ [ Z(163)^27 ] ] ] ],
477[ 5, 1467, 2, "1", [ [ 9, 18 ] ], 1, "163:9", [ "Z", 163, 1 ],
478  [ [ [ Z(163)^18 ] ] ] ],
479[ 6, 2934, 2, "1", [ [ 18, 9 ] ], 1, "163:18", [ "Z", 163, 1 ],
480  [ [ [ Z(163)^9 ] ] ] ],
481[ 7, 4401, 2, "1", [ [ 27, 6 ] ], 1, "163:27", [ "Z", 163, 1 ],
482  [ [ [ Z(163)^6 ] ] ] ],
483[ 8, 8802, 2, "1", [ [ 54, 3 ] ], 1, "163:54", [ "Z", 163, 1 ],
484  [ [ [ Z(163)^3 ] ] ] ],
485[ 9, 13203, 2, "1", [ [ 81, 2 ] ], 1, "163:81", [ "Z", 163, 1 ],
486  [ [ [ Z(163)^2 ] ] ] ],
487[ 10, 26406, 2, "1", [ [ 162, 1 ] ], 2, "AGL(1, 163)", [ "Z", 163, 1 ],
488  [ [ [ Z(163) ] ] ] ],
489[11, Factorial(163)/2,1,"2",[[162,1]],161, "Alt(163)", ["A",163, 1], "Alt"],
490[12, Factorial(163),0,"2",[[162, 1]],163, "Sym(163)", ["A",163, 1], "Sym"]];
491PRIMGRP[164]:=
492[[ 1, 2165292, 1, "2", [ [ 163, 1 ] ], 2, "PSL(2, 163)",
493  [ "L", [ 2, 163 ], 1 ], "psl" ],
494[ 2, 4330584, 0, "2", [ [ 163, 1 ] ], 3, "PGL(2, 163)",
495  [ "L", [ 2, 163 ], 1 ], "pgl" ],
496[3, Factorial(164)/2,1,"2",[[163,1]],162, "Alt(164)", ["A",164, 1], "Alt"],
497[4, Factorial(164),0,"2",[[163, 1]],164, "Sym(164)", ["A",164, 1], "Sym"]];
498PRIMGRP[165]:=
499[[ 1, 13685760, 1, "2", [ [ 36, 1 ], [ 128, 1 ] ], 1, "PSU(5, 2)",
500  [ "2A", [ 4, 2 ], 1 ],
501  [ (  1,131, 40, 76,105, 63,123, 46, 49, 57, 53, 84, 87,118, 38)
502        (  2,154,162,109, 27, 25,  8,117, 10, 41, 34, 67, 54, 98, 50)
503        (  3,161,  5,146, 68,153,152, 73,130, 37, 78, 80,106, 48, 66)
504        (  4, 69, 72, 17, 31)(  6,136,159,150,120)(  7,158, 59,143,115)
505        (  9,134,116, 16, 22)( 11,119, 85, 91, 97,108,113,127,111, 15, 32, 56,
506         125,126, 95)( 12, 62, 88,122,148, 70,163,145, 18, 74, 60, 99, 52, 92,
507         83)( 13, 90, 24,139, 51, 96, 77, 28, 94, 65, 33,165,147,138, 64)
508        ( 14,164, 79,135,100)( 19, 21, 26, 30, 61, 55,160, 36,132,140, 58, 44,
509         141, 20, 29)( 23, 45,129,133,137)( 35,142,149, 89,128)
510        ( 39,114,101, 86,151,112,156,102, 43,104, 71, 47, 75,110,144)
511        ( 42,157,121,124, 93)( 81,103, 82,107,155),
512      (  1, 61,  6,  2, 88,115)(  3,112)(  5,165)(  7, 16)(  8,151, 75, 15,
513          74, 82)(  9, 28, 39,139,125,155)( 10, 69,116,110, 40, 73)( 11,127)
514        ( 12, 35, 45,156,160,153)( 13,107, 91, 62, 17, 84)( 14, 49, 95, 19,
515         144, 30)( 18, 55,164,161, 26, 20)( 21,136, 22,113, 70,108)( 23, 97)
516        ( 24, 87, 93, 42, 94, 98)( 25, 72, 29,111,158, 33)( 27, 51,154,150,
517          83, 68)( 31,134, 78,146,114, 90)( 32, 77,119, 48,129,120)( 36,121)
518        ( 37,157)( 38, 80,135, 58, 54,118)( 41,124,102,105, 67,117)
519        ( 43, 71,128,103,106, 85)( 44,138)( 46, 56)( 47,109)( 50, 92,148,141,
520         101,133)( 52,131, 81, 99, 63,159)( 57,137)( 59,104)( 60, 86)( 64,143)
521        ( 65,152, 66, 76,100,132)( 79,149)( 89,162)( 96,145)(122,142)(130,147)
522        (140,163) ] ],
523[ 2, 27371520, 0, "2", [ [ 36, 1 ], [ 128, 1 ] ], 1, "PGammaU(5, 2)",
524  [ "2A", [ 4, 2 ], 1 ],
525  [ (  1, 48,130,  5,158, 88, 64, 69, 62,  8,154, 54,149, 91, 27,143)
526        (  2, 34, 96, 76, 56, 43,126,135, 61, 29,131, 94, 83,160, 52,121)
527        (  3, 74,136,148,144,127,114, 19, 92,113,120,119, 55, 30, 40,104)
528        (  4, 32, 97, 77,102,164,112, 89)(  6,101,152, 75, 90, 31, 15,128)
529        (  7, 42, 98, 78,103,118, 60,140, 72,157, 36, 18, 14,139, 38, 25)
530        (  9,129,155, 86,163,117, 53, 20, 93,100, 82, 21, 63,106, 99, 85)
531        ( 10,125, 41,109, 67,153,105, 33, 26,132, 51,141,146,122, 12,123)
532        ( 11,142, 28, 45, 17, 66, 24,108)( 13,134, 87,137, 50,138, 35, 23, 84,
533         150, 47,133, 65, 49, 59, 22)( 16, 57,159,151,162,145, 46, 44, 81, 70,
534         79, 58, 73,111,156,110)( 37, 68,116, 80,124,107,165, 39)
535        ( 71,147, 95,161), (  1,130,113, 87,106,  7,129, 83,114, 22, 99, 67,
536         134,137,162)(  2, 50,160, 69, 65,149, 64,135, 60, 27, 29,120, 86,105,
537         136)(  3, 46,140,142, 36)(  4, 25, 63,131,111)(  5,164, 17, 54, 41)
538        (  6,110, 57,116,139)(  8,107, 89, 31,148)(  9,117, 85,122,123, 58,
539          23, 30, 78, 13,104, 73, 82, 42, 81)( 10, 91,150, 95,154, 59, 79, 74,
540         112,100,141, 52, 56,152,146)( 11,159,138,103, 26,101,126, 14, 94, 35,
541         77, 88, 76, 49,109)( 12, 53, 24, 40, 21,143, 62, 71,133, 43, 38, 72,
542          15, 47,121)( 16, 90,153,161,147, 33, 66, 18, 28, 80, 84,108,157, 97,
543         39)( 19,158, 20, 75, 32, 93, 34,127, 68, 37,151, 61,155,165,102)
544        ( 44,115, 70,125,144)( 45,132,145, 98, 55)( 48,118,119, 96, 92)
545        ( 51,124,163,156,128) ] ],
546[ 3, 7920, 1, "2", [ [ 12, 1 ], [ 24, 4 ], [ 48, 1 ], [ 8, 1 ] ], 1, "M_11",
547  [ "Spor", "M(11)", 1 ],
548  [ (  1,  2)(  3,  5)(  4,  7)(  6, 10)(  8, 13)(  9, 15)( 11, 18)( 12, 19)
549        ( 14, 22)( 16, 24)( 17, 26)( 20, 30)( 21, 32)( 23, 35)( 25, 38)
550        ( 27, 40)( 28, 42)( 29, 44)( 31, 41)( 33, 47)( 36, 51)( 37, 53)
551        ( 39, 56)( 43, 59)( 45, 61)( 48, 65)( 49, 66)( 50, 68)( 52, 71)
552        ( 54, 73)( 55, 75)( 57, 78)( 58, 80)( 60, 77)( 62, 84)( 63, 86)
553        ( 64, 88)( 67, 91)( 69, 76)( 70, 94)( 74, 98)( 79, 89)( 81,102)
554        ( 82,105)( 83,104)( 85,109)( 87,111)( 90,114)( 92,116)( 95,117)
555        ( 96,118)( 97,120)( 99,123)(100,125)(101,126)(103,127)(106,121)
556        (108,132)(110,135)(112,137)(115,133)(119,138)(122,144)(124,146)
557        (128,147)(131,142)(136,152)(139,153)(140,141)(143,155)(145,156)
558        (148,151)(149,157)(154,160)(158,162)(163,164),
559      (  1,  3,  6, 11)(  2,  4,  8, 14)(  5,  9, 16, 25)(  7, 12, 20, 31)
560        ( 10, 17, 27, 41)( 13, 21, 33, 48)( 15, 23, 36, 52)( 18, 28, 43, 60)
561        ( 19, 29)( 22, 34, 49, 67)( 24, 37, 54, 74)( 26, 39)( 30, 45, 62, 85)
562        ( 32, 46, 63, 87)( 35, 50, 69, 93)( 38, 55, 76, 44)( 40, 57, 79,102)
563        ( 42, 58, 81,104)( 47, 64, 89,113)( 51, 70, 71, 95)( 53, 72, 96,119)
564        ( 56, 77,100, 94)( 59, 82,106,130)( 61, 83,107,131)( 65, 88,112,138)
565        ( 66, 90,115,140)( 68, 92,105,129)( 73, 97,121,127)( 75, 99,124,126)
566        ( 78,101,117,142)( 80,103,128,148)( 84,108,133,125)( 86,110,114,139)
567        ( 98,122,120,143)(109,134,150,144)(111,136)(116,141,154,137)
568        (118,135,151,158)(123,145,147,152)(132,149)(146,157)(153,159,162,160)
569        (155,156,161,163)(164,165) ] ],
570[ 4, 19958400, 1, "2", [ [ 56, 1 ], [ 24, 1 ], [ 84, 1 ] ], 1, "Alt(11)",
571  [ "A", 11, 1 ],
572  [ (  1,  7, 35,143,120,116,141,158,111)(  2,100,114,129, 65,132,152, 49,160)
573        (  3,147, 94,118, 62, 91,113,130, 56)(  4, 34,165,162, 57, 77,121, 63,
574         5)(  6, 54, 41, 53,156, 27, 68, 84,142)(  8,101, 82, 83,122,164,136,
575          99, 22)(  9, 20, 55,110,125,115, 85, 32,102)( 10, 17, 87, 69, 31,
576         150,151,146,138)( 11, 96, 81, 46, 29, 89,112,105, 70)
577        ( 12,144, 78,123, 16, 60, 42, 92, 14)( 13, 90, 40,149, 24,106, 79,157,
578         104)( 15,139, 43, 38, 19, 93,154,155,107)( 18, 76,135,163,159,124,
579          67, 23, 73)( 21, 74, 98)( 25,137,128, 86,117, 95,108, 58, 33)
580        ( 26,119, 71, 28, 52,134,127,148, 61)( 30, 48,131,103, 44, 39, 50,140,
581         47)( 36, 37,161,133, 51,145, 80, 75, 45)( 59,126, 72,153, 66, 97,109,
582         88, 64), (  1,118, 28, 21,129)(  2, 86, 23,146,157)(  3,155,138,128,
583         154)(  4, 52, 68, 93,156, 33, 48, 74,165, 56)(  5, 36,  6, 53, 47)
584        (  7, 37, 67, 39,150, 51, 49,161, 43, 34)(  8,134, 99, 91, 29, 10,136,
585         111, 78, 24)(  9,110,123, 70, 14)( 12,132,125, 95, 16, 15,122,113,
586          82, 13)( 17, 20)( 18,112, 35, 32,117, 22,114, 42, 26,105)
587        ( 19, 76,124,127,163)( 25, 73,158,137, 61)( 27, 62,133, 79, 30,141,
588          57,148,162, 40)( 31,143,119,106,116)( 38, 92,107, 89, 98, 46,104,
589         102, 94, 85)( 41, 87,140, 90, 45,152, 80,130,103, 58)
590        ( 50, 55,131, 60, 54,164, 77,115, 84, 81)( 59, 65,126, 71, 64,159, 66,
591         120, 72, 69)( 75, 88)( 83, 97)( 96,121)(100,151,160,149,147)(108,109)
592        (135,153)(139,142)(144,145) ] ],
593[ 5, 39916800, 0, "2", [ [ 56, 1 ], [ 24, 1 ], [ 84, 1 ] ], 1, "Sym(11)",
594  [ "A", 11, 1 ],
595  [ (  1,137,125,136, 33, 55, 91,135, 86, 15)(  2, 99,122, 49, 52, 70, 35, 79,
596         76, 13)(  3, 60,163,120,155,  9, 28, 93,143, 14)(  4, 88, 39, 75, 57,
597         84,142,165, 41,126)(  5,  6, 77,145,162,103,140, 34, 59, 64)
598        (  7, 95, 18,146, 12,124,150, 92,110, 40)(  8,132,148, 73, 11, 23, 67,
599         82,134,141)( 10, 17,128,127, 16, 25,164, 78, 69, 62)( 19, 29, 46, 81,
600         43, 65,117,114,118,106)( 20,151,152,102, 38,144, 61,108,138,111)
601        ( 21, 89, 31,115,149, 83,157, 71,129, 94)( 22,160, 96,158,159,105, 98,
602         139,100,113)( 24, 32, 85, 58, 74,104,101,154, 90,119)
603        ( 26,112,116,130,147,123, 42, 56, 87,107)( 27, 72, 45, 53, 48, 97, 30,
604         47, 80,131)( 36, 66, 54, 44, 51,121,133,161,109, 37)( 50,153,156, 63,
605         68), (  1,130, 63,  5, 64, 42, 22)(  2,106, 87, 36,156, 78, 32,128,
606         119,152, 47, 39, 46,112,138, 19, 90,  6,  4, 85,105)(  3, 89,129,150,
607         103, 43, 59,154,102, 21, 93, 80, 33, 72,157, 29,118, 74, 41, 56, 66)
608        (  7, 48,160,  8,155,137, 76, 52,161, 61, 92,146,100,143, 67, 51,149,
609          99, 86,147,127)(  9,117, 24, 15, 65, 50, 98, 70, 26, 94, 95,159, 84,
610         91,123,114,107,113, 71, 77, 38)( 10,104,111)( 11,135,131,132, 83,145,
611         134)( 12, 62, 34,116, 55, 27,151, 82,141,165,163,164,162,158,125, 79,
612         68, 31, 60, 57, 25)( 13,108, 75, 54,110,101, 18)( 14, 17,120,121, 69,
613         97, 35)( 16,139, 53, 45, 81,153, 23)( 20,148,140, 58, 88, 30,136)
614        ( 28,115,142, 49,109, 40,126)( 37,122,144,133,124, 96, 44) ] ],
615[6, Factorial(165)/2,1,"2",[[164,1]],163, "Alt(165)", ["A",165, 1], "Alt"],
616[7, Factorial(165),0,"2",[[164, 1]],165, "Sym(165)", ["A",165, 1], "Sym"]];
617PRIMGRP[166]:=
618[[1, Factorial(166)/2,1,"2",[[165,1]],164, "Alt(166)", ["A",166, 1], "Alt"],
619[2, Factorial(166),0,"2",[[165, 1]],166, "Sym(166)", ["A",166, 1], "Sym"]];
620PRIMGRP[167]:=
621[[ 1, 167, 3, "1", [ [ 1, 166 ] ], 1, "C(167)", [ "Z", 167, 1 ], [  ] ],
622[ 2, 334, 2, "1", [ [ 2, 83 ] ], 1, "D(2*167)", [ "Z", 167, 1 ],
623  [ [ [ Z(167)^83 ] ] ] ],
624[ 3, 13861, 2, "1", [ [ 83, 2 ] ], 1, "167:83", [ "Z", 167, 1 ],
625  [ [ [ Z(167)^2 ] ] ] ],
626[ 4, 27722, 2, "1", [ [ 166, 1 ] ], 2, "AGL(1, 167)", [ "Z", 167, 1 ],
627  [ [ [ Z(167) ] ] ] ],
628[5, Factorial(167)/2,1,"2",[[166,1]],165, "Alt(167)", ["A",167, 1], "Alt"],
629[6, Factorial(167),0,"2",[[166, 1]],167, "Sym(167)", ["A",167, 1], "Sym"]];
630PRIMGRP[168]:=
631[[ 1, 28224, 0, "3a", [ [ 56, 1 ], [ 24, 2 ], [ 42, 1 ], [ 21, 1 ] ], 1,
632  "PSL(2, 7)^2", [ "L", [ 2, 7 ], 2 ],
633  [ (  1,105,115)(  2, 22,117)(  3,  8,112)(  4, 61, 62)(  5,101,134)
634        (  6, 90, 34)(  7, 48, 67)(  9, 39, 33)( 10, 92,143)( 11, 66,162)
635        ( 12, 82, 50)( 13, 84, 21)( 14,130, 29)( 15,120,145)( 16, 70,103)
636        ( 17, 74,128)( 18,110, 40)( 19, 68, 87)( 20,132,137)( 23, 41,125)
637        ( 24,108,156)( 25,135, 98)( 26, 37,104)( 27,119,116)( 28,167,127)
638        ( 30,161, 64)( 31,126, 72)( 32, 96, 55)( 35, 47, 36)( 38, 88,139)
639        ( 42, 71, 91)( 43,113,151)( 44,149,150)( 45, 60, 57)( 46, 51, 69)
640        ( 49, 78, 95)( 52, 63,100)( 53,146,157)( 54,154,158)( 56,165,159)
641        ( 58,124,160)( 59,168, 94)( 65,136,153)( 73, 93,140)( 75,109,106)
642        ( 76,102,144)( 77,142, 86)( 79,111,133)( 80,147,122)( 81,118,107)
643        ( 83,141,131)( 85, 99,121)( 89,123,164)( 97,166,138)(114,129,148),
644      (  1, 53, 24, 98,  5,151, 56)(  2, 39,135, 44, 49, 34,126)
645        (  3, 92,142, 22, 78,166,163)(  4,143, 28,153, 60, 31,121)
646        (  6,101,132,152, 73, 59, 68)(  7,103,117,139, 30,115, 47)
647        (  8,102, 94,158, 91, 41,122)(  9,156,112, 16, 40, 80, 51)
648        ( 10,128, 71,114,134,111, 57)( 11,110,167, 35, 79, 58,144)
649        ( 12, 61, 67, 46,106, 29,113)( 13,147, 45,155, 97, 15,116)
650        ( 14, 69, 82,137, 55,133, 21)( 17,165, 84, 88,136,105, 20)
651        ( 18,124, 75, 33,148,118, 38)( 19, 95,104,157,145, 90, 42)
652        ( 23, 93, 52, 70,123, 77,161)( 25, 54, 85, 50,160,127,164)
653        ( 27,108, 87,120,150, 81, 99)( 32, 36,154,138,129, 66,141)
654        ( 37, 63, 64,130,168,107, 72)( 43, 86, 76,131,140,109, 62)
655        ( 48,162,100,159, 89,119, 65) ] ],
656[ 2, 56448, 0, "3a", [ [ 56, 1 ], [ 48, 1 ], [ 42, 1 ], [ 21, 1 ] ], 1,
657  "PSL(2, 7)^2.2", [ "L", [ 2, 7 ], 2 ],
658  [ (  1,122, 13,118,101, 59,148,108)(  2,154, 80, 40, 66, 90, 70,  4)
659        (  3,136, 72, 62,164,159,152,113)(  5, 65, 26, 28,128, 58,109, 10)
660        (  6,153, 95, 29, 30, 96, 92,  7)(  8,150,163,166,142, 82, 41,143)
661        (  9, 12, 69, 67, 24, 19,114,157)( 11,147, 85,134, 76, 57,129, 15)
662        ( 14,123,158, 36,146, 86, 64,155)( 16, 17,131, 51, 45,145, 39, 99)
663        ( 18, 87, 50,132, 43, 44,133, 61)( 20,168, 63,140,151, 60,161,102)
664        ( 21,103, 93, 74, 46, 94,117,105)( 22,116, 75,162,144,104, 88, 73)
665        ( 23, 68, 71,127,125,111, 89, 49)( 25, 97, 56, 52, 53,167,160, 54)
666        ( 27, 55,120,138,139,165,115, 78)( 31, 32, 77,137,126,124, 42,110)
667        ( 33, 83, 38,106,107,156, 37,119)( 34, 91, 48, 35,100,112,135, 47)
668        ( 79, 81,130, 84,149,141, 98,121),
669      (  1, 38,107, 80, 66,148)(  2, 99,101,119, 33,168)(  3, 20, 61, 41, 82,
670          55)(  4, 43,125,111, 58, 77)(  5, 73, 32, 85,114,157)
671        (  6,139,147,113,108,141)(  7, 78, 36,161,158,142)(  8, 53,138, 47,
672          63, 34)(  9, 54, 26, 94,137,131)( 10, 35,154,100, 89, 25)
673        ( 11,105, 19, 45,104, 97)( 12,122,116, 95, 76,134)( 13,145, 37,156,
674          70,102)( 14, 72, 96, 87,123,143)( 15, 79, 59, 75, 92,117)
675        ( 16, 88,167, 93, 74,149)( 17,106, 83, 60,140, 51)( 18,163, 68,165,
676          42,151)( 21, 69,130,128,144,124)( 22,136, 46,121, 98,115)
677        ( 23,150, 65,164, 40,132)( 24, 30,109, 57,110,118)( 27,103, 62, 39,
678          81, 52)( 28,155, 90, 64, 71, 29)( 31, 56, 50,112,127,135)
679        ( 44, 91,166, 48,152,160)( 49,146,126,153,133, 86)( 67,120,162,159,
680         129, 84) ] ],
681[ 3, 56448, 0, "3b", [ [ 56, 1 ], [ 48, 1 ], [ 42, 1 ], [ 21, 1 ] ], 1,
682  "PSL(2, 7) wreath 2", [ "L", [ 2, 7 ], 2 ],
683  [ (  1, 58, 34,168, 23, 36, 17, 15, 81, 70, 54, 12)(  2, 63, 47, 13,122,  9,
684         140,  4, 79, 51,131,158)(  3,147, 87, 88, 97, 31,110, 10, 73, 18, 71,
685         136)(  5, 42,105, 56,104,  6, 85,113, 55,127, 61,163)
686        (  7,107, 52,117, 37, 65,150, 33,125, 27, 38,134)(  8,111,119, 94, 26,
687         156, 92, 53,106, 78, 76, 83)( 11, 16, 72, 68, 20, 22,109,108, 32, 25,
688         90, 50)( 14,100, 41,112,155, 74,114,141, 30, 98, 19,165)
689        ( 21,124,126,166,133,162,120,152,159,153,144, 44)( 24,167, 96,149, 28,
690         46, 64, 89,143, 35, 57,115)( 29,151,157, 93,118,135, 82,154,123,139,
691          45,121)( 39, 62, 99,161,132, 66, 59, 77,148, 40,116,102)
692        ( 43, 60, 95,164,145,138, 75, 80,142,137,101,103)( 48,146, 49, 86, 91,
693         128, 84, 69,160, 67,130,129), (  1, 79, 73,123)(  2, 72, 99, 65)
694        (  3, 85, 49, 71)(  4, 52, 24,158)(  5,124, 74,122)(  6, 81, 43, 44)
695        (  7, 87,109, 80)(  8, 25,135, 82)(  9,156, 78, 54)( 10, 39,168,152)
696        ( 11, 23, 53, 38)( 12,162,163,164)( 13,138, 27, 83)( 14, 35,129,154)
697        ( 15,128, 16,136)( 17, 76,112, 51)( 18,102, 56, 26)( 19, 22,127, 47)
698        ( 20,131, 61, 48)( 21, 41, 31,101)( 28,137, 75, 91)( 29,140)
699        ( 30,141, 70,160)( 32,134, 92,121)( 33, 58,133,118)( 34, 36,130, 57)
700        ( 37,157,103,132)( 40,139, 64,111)( 42,117, 63, 66)( 45, 59, 95, 84)
701        ( 46, 86,165,119)( 50,113,116,161)( 55,146, 89,126)( 60, 77, 98, 94)
702        ( 62, 88,125, 96)( 67,147,107,145)( 69,167)( 90,106,149,144)
703        ( 93,143,150,155)( 97,114,115,120)(100,142,153,108)(104,166,151,110)
704        (105,159) ] ],
705[ 4, 56448, 0, "3b", [ [ 56, 1 ], [ 24, 2 ], [ 42, 1 ], [ 21, 1 ] ], 1,
706  "PSL(2, 7) wreath 2", [ "L", [ 2, 7 ], 2 ],
707  [ (  1, 79, 81, 30,153,155,111,109, 78,122,105,  2,162, 23,124, 72, 14, 90,
708          61,156, 85)(  3, 74, 27, 44,125, 15,148,146,163, 95, 83,135,127,149,
709         33,108, 96, 19,116, 26,160)(  4, 93,134, 76, 69, 41, 84,112, 48,123,
710          58,107, 55, 60, 12, 80, 62, 56,110, 20,139)(  5, 37, 22,103, 67,126,
711         71, 53, 18,158,115,145,119, 57, 54,130,  8,150, 29,100, 45)
712        (  6, 52, 40, 68, 82, 11, 59, 16,121, 73,144, 86,152, 31,165,132, 43,
713          70,101, 17,137)(  7,141, 10,128, 36,102, 94,138,159, 89, 66, 63, 64,
714         32, 46,106,154, 24, 98,129, 47)(  9, 87,166, 35, 13, 39, 28, 92, 75,
715         140, 49, 42,136,118, 50,161,104, 99, 21,164, 97)( 25, 88,117,120, 77,
716         114,147,133, 91,142, 51, 65, 34,167,168, 38,143,113,157,131,151),
717      (  1, 67,131, 41,134,133, 81,112)(  2, 69, 87, 80,148,106, 30,  8)
718        (  3, 88,128, 34,136,165, 79, 39)(  4,153, 75,  5, 28,157,118, 77)
719        (  6, 72, 37,160, 40,168,105, 50)(  7, 63,101,104,139,163, 32, 48)
720        (  9, 36, 96,130, 46, 16, 78, 20)( 10,116, 27,164, 98,129, 76, 59)
721        ( 11, 45,158,111, 53, 12, 85, 93)( 13, 90, 62,142, 25,162,115, 64)
722        ( 14, 97, 65,119,141,155, 60,159)( 15, 61, 57,123,113,152,161, 49)
723        ( 17,107,110, 71, 92,146,114, 18)( 19, 21,122,100, 74,132,137, 31)
724        ( 22,109, 42,156,166,150, 95, 55)( 23, 99,144, 26)( 24, 91,127,124,
725          58,154, 94, 35)( 29, 38, 70, 68, 66,167,135,102)( 33,147, 47, 54,
726         126, 73,120,138)( 43,143, 51,149,108,125, 82, 84)( 44, 56, 83,145,
727         151, 52, 89,121)( 86,103) ] ],
728[ 5, 112896, 0, "3b", [ [ 56, 1 ], [ 48, 1 ], [ 42, 1 ], [ 21, 1 ] ], 1,
729  "PSL(2, 7)^2.2^2", [ "L", [ 2, 7 ], 2 ],
730  [ (  1,151,152, 99, 68, 48)(  2,143,118,164, 30, 91)(  3, 87,128,119, 56, 45
731         )(  4, 24, 55,  8,144,145)(  5, 39, 81,167,125, 73)(  6,163, 41,112,
732          27,137)(  7, 32, 93, 14,120,107)(  9, 12, 52,162,168, 63)
733        ( 10,155,133, 17, 20, 42)( 11,100, 18,132, 79,157)( 13, 82, 64,165,
734          47, 67)( 16, 31, 26,159,102,127)( 19, 50, 21, 33, 29,158)
735        ( 22, 46, 59,141, 43, 92)( 23,147, 36, 54, 57, 89)( 25,135,129,106,
736         160,156)( 28, 71, 86,148,111,113)( 34, 97,123, 76,136,109)
737        ( 35,138, 74)( 37, 96,108,126,140,166)( 38,153)( 40, 84,101)
738        ( 44, 60,154, 72,117,110)( 49, 83, 53, 62,130, 66)( 51,150,124)
739        ( 58,134,104)( 61, 65,116,149, 78, 88)( 69, 70,161,121, 85,131)
740        ( 75, 95, 94)( 77, 98,139,146, 80, 90)(103,105,142)(114,115,122),
741      (  1, 10,125, 95,150,146, 72, 24)(  2, 31, 64,134,153,163, 58, 62)
742        (  3, 23, 15, 49, 89,152,113, 99)(  4,130, 11,131, 38, 73, 85, 16)
743        (  5,151, 44,157,139,106, 87, 22)(  6, 13,110,140,114,143,105,160)
744        (  7,137,148,141, 80, 74,166,167)(  8, 84,127, 55, 77, 54, 51,100)
745        (  9, 60,165,158, 92, 53, 34, 65)( 12, 76, 39, 83, 88,129, 45,161)
746        ( 14,135,121, 96, 28, 78, 52, 66)( 17,147, 70, 97,111,159, 29, 81)
747        ( 18,116,128, 90, 43, 79, 27,107)( 19,117,122, 63, 75, 21,118,156)
748        ( 20, 91,149, 26,119,112,104,120)( 25,164,138, 94,168, 71, 48, 32)
749        ( 30,102,136, 68, 69, 56, 57,145)( 33,155,144,115,154, 36, 67,109)
750        ( 35, 86)( 37, 98, 93, 59, 40,162, 46,108)( 41,142,124, 82,126, 42,
751         103,101)( 47,133,123, 61) ] ],
752[ 6, 2328648, 1, "2", [ [ 167, 1 ] ], 2, "PSL(2, 167)",
753  [ "L", [ 2, 167 ], 1 ], "psl" ],
754[ 7, 4657296, 0, "2", [ [ 167, 1 ] ], 3, "PGL(2, 167)",
755  [ "L", [ 2, 167 ], 1 ], "pgl" ],
756[8, Factorial(168)/2,1,"2",[[167,1]],166, "Alt(168)", ["A",168, 1], "Alt"],
757[9, Factorial(168),0,"2",[[167, 1]],168, "Sym(168)", ["A",168, 1], "Sym"]];
758PRIMGRP[169]:=
759[[ 1, 1014, 2, "1", [ [ 3, 12 ], [ 6, 22 ] ], 1, "13^2:D_6", [ "Z", 13, 2 ],
760  [ [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^6, Z(13)^6 ] ],
761      [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^6 ] ] ] ],
762[ 2, 1183, 2, "1", [ [ 7, 24 ] ], 1, "13^2:7", [ "Z", 13, 2 ],
763  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^10 ] ] ] ],
764[ 3, 1352, 2, "1", [ [ 4, 12 ], [ 8, 15 ] ], 1, "13^2:D_8", [ "Z", 13, 2 ],
765  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ],
766      [ [ Z(13)^0, 0*Z(13) ], [ 0*Z(13), Z(13)^6 ] ] ] ],
767[ 4, 1352, 2, "1", [ [ 8, 21 ] ], 1, "13^2:Q_8", [ "Z", 13, 2 ],
768  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ],
769      [ [ 0*Z(13), Z(13)^3 ], [ Z(13)^3, 0*Z(13) ] ] ] ],
770[ 5, 1352, 2, "1", [ [ 8, 21 ] ], 1, "13^2:8", [ "Z", 13, 2 ],
771  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^9, 0*Z(13) ] ],
772      [ [ Z(13)^6, 0*Z(13) ], [ 0*Z(13), Z(13)^6 ] ] ] ],
773[ 6, 2028, 2, "1", [ [ 6, 12 ], [ 12, 8 ] ], 1, "13^2:(2 x D_6)",
774  [ "Z", 13, 2 ],
775  [ [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^0, Z(13)^6 ] ], [ [ 0*Z(13), Z(13)^0 ],
776          [ Z(13)^6, Z(13)^0 ] ] ] ],
777[ 7, 2028, 2, "1", [ [ 12, 14 ] ], 1, "13^2:Q_12", [ "Z", 13, 2 ],
778  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ],
779      [ [ Z(13), Z(13)^11 ], [ Z(13)^11, Z(13)^6 ] ] ] ],
780[ 8, 2366, 2, "1", [ [ 14, 12 ] ], 1, "13^2:14", [ "Z", 13, 2 ],
781  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^5 ] ],
782      [ [ Z(13)^11, Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ] ] ],
783[ 9, 2366, 2, "1", [ [ 7, 12 ], [ 14, 6 ] ], 1, "13^2:D_14", [ "Z", 13, 2 ],
784  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^3 ] ],
785      [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^3, Z(13)^6 ] ] ] ],
786[ 10, 2704, 2, "1", [ [ 8, 9 ], [ 16, 6 ] ], 1, "13^2:(2 x D_8)",
787  [ "Z", 13, 2 ],
788  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ], [ [ 0*Z(13), Z(13)^3 ],
789          [ Z(13)^3, 0*Z(13) ] ],
790      [ [ Z(13)^0, 0*Z(13) ], [ 0*Z(13), Z(13)^6 ] ] ] ],
791[ 11, 2704, 2, "1", [ [ 8, 3 ], [ 16, 9 ] ], 1, "13^2:Q_16", [ "Z", 13, 2 ],
792  [ [ [ Z(13)^9, 0*Z(13) ], [ 0*Z(13), Z(13)^3 ] ],
793      [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^3, 0*Z(13) ] ] ] ],
794[ 12, 3042, 2, "1", [ [ 18, 6 ], [ 6, 4 ], [ 9, 4 ] ], 1,
795  "13^2:(3 x D_6)", [ "Z", 13, 2 ],
796  [ [ [ Z(13)^0, 0*Z(13) ], [ 0*Z(13), Z(13)^8 ] ],
797      [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^0, 0*Z(13) ] ] ] ],
798[ 13, 3549, 2, "1", [ [ 21, 8 ] ], 1, "13^2:21", [ "Z", 13, 2 ],
799  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^2, Z(13)^7 ] ],
800      [ [ Z(13)^4, 0*Z(13) ], [ 0*Z(13), Z(13)^4 ] ] ] ],
801[ 14, 4056, 2, "1", [ [ 24, 7 ] ], 1, "13^2:(3 x Q_8)", [ "Z", 13, 2 ],
802  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^10, 0*Z(13) ] ],
803      [ [ Z(13)^2, Z(13)^10 ], [ Z(13)^2, Z(13)^8 ] ] ] ],
804[ 15, 4056, 2, "1", [ [ 24, 1 ], [ 12, 12 ] ], 1, "13^2:D_24",
805  [ "Z", 13, 2 ],
806  [ [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^2, Z(13)^6 ] ], [ [ 0*Z(13), Z(13)^0 ],
807          [ Z(13)^0, 0*Z(13) ] ] ] ],
808[ 16, 4056, 2, "1", [ [ 24, 7 ] ], 1, "13^2:Q_24", [ "Z", 13, 2 ],
809  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ],
810      [ [ Z(13)^3, Z(13)^2 ], [ 0*Z(13), Z(13)^9 ] ] ] ],
811[ 17, 4056, 2, "1", [ [ 12, 4 ], [ 24, 5 ] ], 1, "13^2:(3 x D_8)",
812  [ "Z", 13, 2 ],
813  [ [ [ Z(13)^0, 0*Z(13) ], [ 0*Z(13), Z(13)^6 ] ], [ [ 0*Z(13), Z(13)^0 ],
814          [ Z(13)^10, 0*Z(13) ] ] ] ],
815[ 18, 4056, 2, "1", [ [ 12, 6 ], [ 24, 4 ] ], 1, "13^2:(4 x D_6)",
816  [ "Z", 13, 2 ],
817  [ [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^9, Z(13)^6 ] ], [ [ 0*Z(13), Z(13)^0 ],
818          [ Z(13)^0, Z(13)^9 ] ] ] ],
819[ 19, 4056, 2, "1", [ [ 24, 7 ] ], 1, "13^2:3:8", [ "Z", 13, 2 ],
820  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^9, 0*Z(13) ] ],
821      [ [ Z(13)^2, Z(13)^9 ], [ Z(13)^0, Z(13)^3 ] ] ] ],
822[ 20, 4056, 2, "1", [ [ 24, 7 ] ], 1, "13^2:24", [ "Z", 13, 2 ],
823  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^9, 0*Z(13) ] ],
824      [ [ Z(13)^8, 0*Z(13) ], [ 0*Z(13), Z(13)^8 ] ] ] ],
825[ 21, 4056, 2, "1", [ [ 24, 5 ], [ 8, 6 ] ], 1, "13^2:(Q_8:3)",
826  [ "Z", 13, 2 ],
827  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^10, Z(13)^8 ] ], [ [ 0*Z(13), Z(13)^6 ],
828          [ Z(13)^8, Z(13)^4 ] ] ] ],
829[ 22, 4056, 2, "1", [ [ 24, 7 ] ], 1, "13^2:(Q_8:3)", [ "Z", 13, 2 ],
830  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^6 ] ],
831      [ [ 0*Z(13), Z(13)^10 ], [ Z(13)^8, Z(13)^6 ] ] ] ],
832[ 23, 4732, 2, "1", [ [ 28, 6 ] ], 1, "13^2:28", [ "Z", 13, 2 ],
833  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^0, Z(13)^8 ] ] ] ],
834[ 24, 4732, 2, "1", [ [ 28, 6 ] ], 1, "13^2:Q_28", [ "Z", 13, 2 ],
835  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ],
836      [ [ Z(13)^3, 0*Z(13) ], [ Z(13)^4, Z(13)^9 ] ] ] ],
837[ 25, 4732, 2, "1", [ [ 14, 12 ] ], 1, "13^2:D_28", [ "Z", 13, 2 ],
838  [ [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^5, Z(13)^6 ] ],
839      [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^0, 0*Z(13) ] ] ] ],
840[ 26, 5408, 2, "1", [ [ 16, 3 ], [ 8, 3 ], [ 32, 3 ] ], 1,
841  "13^2:(4 wreath 2)", [ "Z", 13, 2 ],
842  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^3, 0*Z(13) ] ],
843      [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^2, Z(13)^6 ] ] ] ],
844[ 27, 6084, 2, "1", [ [ 12, 2 ], [ 36, 2 ], [ 18, 4 ] ], 1,
845  "13^2:(6 x D_6)", [ "Z", 13, 2 ],
846  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^2, Z(13)^4 ] ],
847      [ [ Z(13)^8, Z(13)^10 ], [ 0*Z(13), Z(13)^2 ] ] ] ],
848[ 28, 6084, 2, "1", [ [ 12, 2 ], [ 36, 4 ] ], 1, "13^2:(3 x Q_12)",
849  [ "Z", 13, 2 ],
850  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^2, 0*Z(13) ] ], [ [ 0*Z(13), Z(13)^2 ],
851          [ Z(13)^8, 0*Z(13) ] ] ] ],
852[ 29, 7098, 2, "1", [ [ 42, 4 ] ], 1, "13^2:42", [ "Z", 13, 2 ],
853  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^10, Z(13)^0 ] ],
854      [ [ Z(13)^9, Z(13)^7 ], [ Z(13)^5, Z(13)^4 ] ] ] ],
855[ 30, 7098, 2, "1", [ [ 42, 2 ], [ 21, 4 ] ], 1, "13^2:(3 x D_14)",
856  [ "Z", 13, 2 ],
857  [ [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^3, Z(13)^6 ] ], [ [ 0*Z(13), Z(13)^0 ],
858          [ Z(13)^2, Z(13)^3 ] ] ] ],
859[ 31, 8112, 2, "1", [ [ 24, 7 ] ], 1, "13^2:(Q_8:D_6)", [ "Z", 13, 2 ],
860  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^8 ] ],
861      [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^8, Z(13)^6 ] ],
862      [ [ Z(13)^10, Z(13)^11 ], [ Z(13)^5, Z(13)^3 ] ] ] ],
863[ 32, 8112, 2, "1", [ [ 24, 1 ], [ 48, 3 ] ], 1, "13^2:3:SA_16",
864  [ "Z", 13, 2 ],
865  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^9, 0*Z(13) ] ], [ [ Z(13)^11, 0*Z(13) ],
866          [ 0*Z(13), Z(13) ] ] ] ],
867[ 33, 8112, 2, "1", [ [ 24, 1 ], [ 48, 3 ] ], 1, "13^2:(3 x SA_16)",
868  [ "Z", 13, 2 ],
869  [ [ [ Z(13)^0, 0*Z(13) ], [ 0*Z(13), Z(13)^6 ] ], [ [ 0*Z(13), Z(13)^0 ],
870          [ Z(13)^7, 0*Z(13) ] ] ] ],
871[ 34, 8112, 2, "1", [ [ 24, 3 ], [ 48, 2 ] ], 1, "13^2:(3 x Q_8:2)",
872  [ "Z", 13, 2 ],
873  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ], [ [ Z(13)^9, 0*Z(13) ],
874          [ 0*Z(13), Z(13)^9 ] ],
875      [ [ 0*Z(13), Z(13)^11 ], [ Z(13)^11, 0*Z(13) ] ] ] ],
876[ 35, 8112, 2, "1", [ [ 24, 3 ], [ 48, 1 ], [ 16, 3 ] ], 1, "13^2:(Q_8:3):2",
877  [ "Z", 13, 2 ],
878  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^10, Z(13)^8 ] ], [ [ Z(13)^0, 0*Z(13) ],
879          [ Z(13), Z(13)^6 ] ] ] ],
880[ 36, 8112, 2, "1", [ [ 24, 3 ], [ 48, 2 ] ], 1, "13^2:(Q_8:3):2",
881  [ "Z", 13, 2 ],
882  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^0 ] ], [ [ Z(13)^0, 0*Z(13) ],
883          [ Z(13)^5, Z(13)^6 ] ] ] ],
884[ 37, 9464, 2, "1", [ [ 56, 3 ] ], 1, "13^2:56", [ "Z", 13, 2 ],
885  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^9 ] ],
886      [ [ Z(13), Z(13)^6 ], [ Z(13)^0, Z(13)^10 ] ] ] ],
887[ 38, 9464, 2, "1", [ [ 28, 6 ] ], 1, "13^2:(4 x D_14)", [ "Z", 13, 2 ],
888  [ [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^2, Z(13)^6 ] ],
889      [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ] ] ],
890[ 39, 9464, 2, "1", [ [ 56, 3 ] ], 1, "13^2:7:8", [ "Z", 13, 2 ],
891  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^3, 0*Z(13) ] ],
892      [ [ Z(13)^8, Z(13)^5 ], [ Z(13)^8, Z(13)^2 ] ] ] ],
893[ 40, 12168, 2, "1", [ [ 24, 1 ], [ 36, 2 ], [ 72, 1 ] ], 1,
894  "13^2:(12 x D_6)", [ "Z", 13, 2 ],
895  [ [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^11, Z(13)^6 ] ],
896      [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^10, 0*Z(13) ] ] ] ],
897[ 41, 12168, 2, "1", [ [ 24, 1 ], [ 72, 2 ] ], 1, "13^2:(3 x 3:8)",
898  [ "Z", 13, 2 ],
899  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13), 0*Z(13) ] ], [ [ Z(13)^0, 0*Z(13) ],
900          [ 0*Z(13), Z(13)^4 ] ] ] ],
901[ 42, 12168, 2, "1", [ [ 24, 1 ], [ 72, 2 ] ], 1, "13^2:(3 x (3:Q_8))",
902  [ "Z", 13, 2 ],
903  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^2, 0*Z(13) ] ], [ [ 0*Z(13), Z(13)^9 ],
904          [ Z(13), 0*Z(13) ] ] ] ],
905[ 43, 12168, 2, "1", [ [ 24, 1 ], [ 36, 4 ] ], 1, "13^2:(3 x D_24)",
906  [ "Z", 13, 2 ],
907  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^8, 0*Z(13) ] ], [ [ Z(13)^2, Z(13)^11 ],
908          [ Z(13)^6, Z(13)^8 ] ] ] ],
909[ 44, 12168, 2, "1", [ [ 24, 4 ], [ 72, 1 ] ], 1, "13^2:(3 x (Q_8:C_3))",
910  [ "Z", 13, 2 ],
911  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^0 ] ], [ [ 0*Z(13), Z(13)^6 ],
912          [ Z(13)^4, 0*Z(13) ] ] ] ],
913[ 45, 14196, 2, "1", [ [ 84, 2 ] ], 1, "13^2:(3 x Q_28)",
914  [ "Z", 13, 2 ],
915  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^2, Z(13)^9 ] ], [ [ Z(13)^9, Z(13)^11 ],
916          [ Z(13)^10, Z(13)^3 ] ] ] ],
917[ 46, 14196, 2, "1", [ [ 42, 4 ] ], 1, "13^2:(6 x D_14)",
918  [ "Z", 13, 2 ],
919  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^4, 0*Z(13) ] ], [ [ Z(13)^4, Z(13)^11 ],
920          [ Z(13)^9, Z(13)^5 ] ] ] ],
921[ 47, 14196, 2, "1", [ [ 84, 2 ] ], 1, "13^2:84", [ "Z", 13, 2 ],
922  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^8, Z(13)^5 ] ],
923      [ [ Z(13)^11, 0*Z(13) ], [ 0*Z(13), Z(13)^11 ] ] ] ],
924[ 48, 16224, 2, "1", [ [ 24, 1 ], [ 48, 3 ] ], 1, "13^2:3:Q_8:4",
925  [ "Z", 13, 2 ],
926  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ], [ [ Z(13)^7, 0*Z(13) ],
927          [ 0*Z(13), Z(13)^8 ] ] ] ],
928[ 49, 16224, 2, "1", [ [ 24, 1 ], [ 48, 1 ], [ 96, 1 ] ], 1,
929  "13^2:(3 x (4 wreath 2)", [ "Z", 13, 2 ],
930  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^2, 0*Z(13) ] ],
931      [ [ Z(13)^9, Z(13)^2 ], [ Z(13)^4, Z(13)^3 ] ] ] ],
932[ 50, 16224, 2, "1", [ [ 24, 3 ], [ 96, 1 ] ], 1, "13^2:(Q_8:3):4",
933  [ "Z", 13, 2 ],
934  [ [ [ Z(13)^6, 0*Z(13) ], [ Z(13)^9, Z(13)^9 ] ], [ [ 0*Z(13), Z(13)^0 ],
935          [ Z(13)^0, Z(13)^3 ] ] ] ],
936[ 51, 18928, 2, "1", [ [ 56, 3 ] ], 1, "13^2:(4 x D_28)",
937  [ "Z", 13, 2 ],
938  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^3, Z(13)^6 ] ], [ [ Z(13)^0, 0*Z(13) ],
939          [ Z(13)^6, Z(13)^6 ] ] ] ],
940[ 52, 24336, 2, "1", [ [ 144, 1 ], [ 24, 1 ] ], 1, "13^2:(3 x 3:SA_16)",
941  [ "Z", 13, 2 ],
942  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13), 0*Z(13) ] ], [ [ Z(13)^0, 0*Z(13) ],
943          [ 0*Z(13), Z(13)^10 ] ] ] ],
944[ 53, 24336, 2, "1", [ [ 24, 1 ], [ 72, 2 ] ], 1, "13^2:(4 x (Q_24:2))",
945  [ "Z", 13, 2 ],
946  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^0, Z(13)^3 ] ], [ [ Z(13), Z(13)^10 ],
947          [ Z(13)^10, Z(13)^2 ] ],
948      [ [ Z(13)^9, Z(13) ], [ Z(13)^6, Z(13)^3 ] ] ] ],
949[ 54, 24336, 2, "1", [ [ 48, 2 ], [ 72, 1 ] ], 1, "13^2:(3 x (Q_8:3):2)",
950  [ "Z", 13, 2 ],
951  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^4, 0*Z(13) ] ], [ [ Z(13)^0, Z(13)^7 ],
952          [ Z(13)^8, Z(13)^9 ] ] ] ],
953[ 55, 28392, 2, "1", [ [ 168, 1 ] ], 2, "13^2:168", [ "Z", 13, 2 ],
954  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^10, Z(13)^11 ] ],
955      [ [ Z(13)^7, Z(13)^3 ], [ Z(13), Z(13) ] ] ] ],
956[ 56, 28392, 2, "1", [ [ 84, 2 ] ], 1, "13^2:(12 x D_14)",
957  [ "Z", 13, 2 ],
958  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^8, 0*Z(13) ] ], [ [ Z(13)^2, Z(13)^2 ],
959          [ Z(13)^9, Z(13)^8 ] ] ] ],
960[ 57, 28392, 2, "1", [ [ 168, 1 ] ], 2, "13^2:(3 x 7:8)",
961  [ "Z", 13, 2 ],
962  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^9, 0*Z(13) ] ], [ [ Z(13)^5, Z(13)^8 ],
963          [ Z(13)^0, Z(13)^11 ] ] ] ],
964[ 58, 48672, 2, "1", [ [ 144, 1 ], [ 24, 1 ] ], 1, "13^2:(12 wreath 2)",
965  [ "Z", 13, 2 ],
966  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^4, 0*Z(13) ] ], [ [ Z(13)^6, Z(13)^11 ],
967          [ Z(13)^9, Z(13)^6 ] ] ] ],
968[ 59, 48672, 2, "1", [ [ 72, 1 ], [ 96, 1 ] ], 1, "13^2:(3 x (Q_8:3):4)",
969  [ "Z", 13, 2 ],
970  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^5, 0*Z(13) ] ], [ [ Z(13)^5, Z(13)^7 ],
971          [ Z(13)^0, Z(13)^8 ] ] ] ],
972[ 60, 56784, 2, "1", [ [ 168, 1 ] ], 2, "AGammaL(1, 13^2)", [ "Z", 13, 2 ],
973  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^2, 0*Z(13) ] ],
974      [ [ Z(13)^5, Z(13)^5 ], [ Z(13)^2, Z(13)^11 ] ] ] ],
975[ 61, 369096, 0, "1", [ [ 168, 1 ] ], 2, "ASL(2, 13)", [ "Z", 13, 2 ],
976  [ [ [ Z(13)^5, 0*Z(13) ], [ Z(13)^11, Z(13)^7 ] ],
977      [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^10 ] ] ] ],
978[ 62, 738192, 0, "1", [ [ 168, 1 ] ], 2, "13^2:4.PSL(2, 13)", [ "Z", 13, 2 ],
979  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^2 ] ],
980      [ [ Z(13)^0, Z(13)^0 ], [ Z(13)^8, Z(13)^3 ] ] ] ],
981[ 63, 1107288, 0, "1", [ [ 168, 1 ] ], 2, "13^2:(3 x SL(2, 13)",
982  [ "Z", 13, 2 ],
983  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, Z(13)^8 ] ], [ [ Z(13)^0, Z(13)^5 ],
984          [ Z(13)^3, Z(13)^6 ] ] ] ],
985[ 64, 1476384, 0, "1", [ [ 168, 1 ] ], 2, "13^2:4.PSL(2, 13):2",
986  [ "Z", 13, 2 ],
987  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^9, Z(13)^10 ] ], [ [ Z(13)^0, 0*Z(13) ],
988          [ Z(13)^8, Z(13)^6 ] ] ] ],
989[ 65, 2214576, 0, "1", [ [ 168, 1 ] ], 2, "13^2:(3 x 4.PSL(2, 13))",
990  [ "Z", 13, 2 ],
991  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^10, Z(13)^8 ] ], [ [ Z(13)^4, Z(13)^6 ],
992          [ Z(13), Z(13)^9 ] ] ] ],
993[ 66, 4429152, 0, "1", [ [ 168, 1 ] ], 2, "AGL(2, 13)", [ "Z", 13, 2 ],
994  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13), Z(13)^0 ] ],
995      [ [ Z(13)^2, Z(13)^10 ], [ Z(13)^2, Z(13)^5 ] ] ] ],
996[ 67, 63078912, 0, "4c", [ [ 144, 1 ], [ 24, 1 ] ], 1,
997  "PSL(3, 3) wreath Sym(2)", [ "L", [ 3, 3 ], 2 ],
998  [ (  1, 12, 38, 34, 86, 82, 17, 18,148,146, 55, 53)(  2,129, 35, 73, 85,160,
999         15,122,152, 68, 59,157)(  3, 64, 27,  8, 90, 30, 21, 83,147, 16, 57,
1000         144)(  4, 25, 31,151, 81, 56, 14,  5,155, 29, 60, 79)
1001        (  6,142, 32,138, 84,134, 19,135,149,133, 58,131)(  7,168, 28,125, 87,
1002         69, 20,161,145,120, 61, 66)(  9, 77, 33,164, 80,121, 22, 70,150,159,
1003          54,118)( 10, 51, 36, 47, 88, 43, 23, 44,153, 42, 62, 40)
1004        ( 11,116, 39, 99, 89,108, 26, 96,154,107, 65, 92)( 13,103, 37,112, 91,
1005         95, 24,109,156, 94, 63,105)( 41,127, 48, 75, 46,166)( 45,140)
1006        ( 50,114, 52,101)( 67,124,165)( 71,137,162,132,123,139)
1007        ( 72,163,158,119,126, 74)( 76,111,169, 93,128,113, 78, 98,167,106,130,
1008         100)( 97,141,110,143)(102,115,117,104),
1009      (  1,132, 17, 33,169,  8, 41, 19, 98,159, 86, 40,136, 95, 29, 91)
1010        (  2, 15, 20,163,164, 47, 45, 97, 94, 81, 79,131,134, 30, 39, 13)
1011        (  3, 80, 14,137,160, 34, 52,  6, 93, 16, 85,157,138, 43, 32,104)
1012        (  4, 28, 26,  7,158, 21, 46,162, 99, 42, 84, 92,133, 82, 27,143)
1013        (  5,106, 25,124,165,151, 49, 58, 96,107, 90,118,139,147, 36, 65)
1014        (  9,145, 23, 59,161,112, 51,123,100,146, 88, 53,135,108, 38,130)
1015        ( 10, 54, 18,111,168,125, 48,149,101, 55, 83,105,142,121, 35,156)
1016        ( 11, 67, 24, 72,167, 73, 50, 71,102, 68, 89, 66,141, 69, 37, 78)
1017        ( 12,119, 22,150,166, 60, 44,110,103,120, 87,144,140, 56, 31,117)
1018        ( 57,109,116,129,126,152,153, 62)( 61,148,114, 64,122,113,155,127)
1019        ( 63, 70,115, 77,128, 74,154, 75) ] ],
1020[ 68, 19387894021816320000, 0, "4c", [ [ 144, 1 ], [ 24, 1 ] ], 1,
1021  "Alt(13) wreath Sym(2)", [ "A", 13, 2 ],
1022  [ (  1, 86,136,124, 49,  9, 81,131,125, 45,  7, 88,139,120, 40,  8, 84,137,
1023         127, 48,  3, 79,138,123, 46, 10, 87,133,118, 47,  6, 85,140,126, 42)
1024        (  2, 91,142,119, 52, 12, 80,143,129, 41, 13, 90,132,130, 51)
1025        (  4, 89,135,121, 50,  5, 82,141,122, 43, 11, 83,134,128, 44)
1026        ( 14, 99, 71,111, 36, 61,146)( 15,104, 77,106, 39, 64,145, 26,103, 67,
1027         117, 38, 54,156, 25, 93, 78,116, 28, 65,155)( 16, 92, 73,110, 33, 62,
1028         152)( 17,102, 70,108, 37, 57,147, 24, 96, 69,115, 31, 56,154, 18, 95,
1029         76,109, 30, 63,148)( 19, 98, 75,113, 29, 53,151)( 20,101, 74,107, 27,
1030         60,149)( 21, 97, 72,114, 35, 55,144)( 22, 94, 66,112, 32, 59,153)
1031        ( 23,100, 68,105, 34, 58,150)(157,164,162,163,166,165,159)
1032        (158,169,168)(160,167,161),
1033      (  1,111,159, 13,150,158,130,151, 67,121,138, 75, 95,136, 88,102, 58,
1034          90, 24, 61, 38, 18, 48, 27,109, 42)(  2,124,164, 78,147,132,127, 99,
1035         71, 82,141, 62,103, 19, 87, 37, 57, 51, 14,113, 29,  5, 46,157,117,
1036         146)(  3,  7,163,169,156,145,119,125, 73, 69,134,140,101, 97, 84, 89,
1037         63, 64, 25, 22, 35, 31, 44, 40,105,107)(  4,137,166,104,149, 80,128,
1038          60, 77, 17,139, 36, 96, 45, 79,115, 55, 12, 20,165, 39,148, 41,118,
1039         112, 68)(  6, 85,167, 65,155, 15,126, 34, 70, 43,131,114, 94)
1040        (  8, 72,160,143,153, 93,123, 86, 76, 56,142, 23,100, 32, 83, 50, 53,
1041         116, 16,  9, 33,161, 52,144,106,120)( 10, 98,162, 91,154, 54,129, 21,
1042         74, 30,135, 49, 92,110, 81, 11, 59,168, 26,152, 28,122, 47, 66,108,
1043         133) ] ],
1044[ 69, 38775788043632640000, 0, "4c", [ [ 144, 1 ], [ 24, 1 ] ], 1,
1045  "Alt(13)^2.2^2", [ "A", 13, 2 ],
1046  [ (  1,122, 17, 37, 99,155, 88,  6,135, 20,167, 92,129, 82, 32,138,150,166)
1047        (  2, 44, 26, 76, 94,116, 80, 45,143, 72,159,105,119, 43, 39, 73,146,
1048         114)(  3,109, 15, 50,104, 77, 81,110,132, 46,169, 66,120,108, 28, 47,
1049         156, 75)(  4, 31, 21,154,101, 12, 83, 19,141, 98,168, 79,123,134, 33,
1050         164,144,127)(  5, 18, 24,102,103, 90, 84,136,137,163,157,118,121, 30,
1051         34,151,153, 10)(  7,161, 14,128, 95, 38, 86,149,140)(  8,148, 23, 11,
1052         96, 25, 89, 97,142, 85,162,131,124,160, 27,125,147, 36)
1053        (  9, 57, 22, 63,100, 64, 87, 58,139, 59,165, 53,126, 56, 35, 60,152,
1054          62)( 13, 70, 16,115, 93, 51, 91, 71,133,111,158, 40,130, 69, 29,112,
1055         145, 49)( 41, 52, 78, 68,107,106)( 42,117, 67)( 48, 65, 74, 55,113,
1056          54), (  1,147, 28, 91, 66,148, 54, 87, 92,155,106, 84,157,153, 41,
1057          81,131,150,  2, 82, 27,156, 67, 83, 53,152, 93, 90,105,149,158, 88,
1058          40,146,132, 85)(  3,134, 33, 13, 69, 31, 65, 74, 96, 64,113, 97,168,
1059         114, 45,159,140, 46)(  4, 30, 39, 78, 70, 57, 61,100,103,116,110,162,
1060         166, 49, 42,133,137,  7)(  5, 56, 35,104, 77,109, 58,165,101, 51,107,
1061         136,163, 10, 43, 29,143, 72)(  6,160, 36, 52, 68,135, 59,  9, 95, 38,
1062         117, 71,161, 62, 48, 94,142,111)(  8, 17, 37,130, 73, 18, 63,126, 99,
1063         25,115,123,164, 23, 50,120,138, 20, 11,121, 34, 26, 76,122, 60, 22,
1064         102,129,112, 19,167,127, 47, 16,141,124)( 12,108, 32,169, 75, 44, 55,
1065         139, 98)( 14,154,119, 86)( 15, 89,118,151)( 21, 24,128,125)
1066        ( 79,144,145, 80) ] ],
1067[ 70, 38775788043632640000, 0, "4c", [ [ 144, 1 ], [ 24, 1 ] ], 1,
1068  "Alt(13)^2.4", [ "A", 13, 2 ],
1069  [ (  1,168, 80, 37, 65)(  2, 38, 91, 11, 64, 79,167, 54, 27,169)
1070        (  3,116, 84, 76, 59,131,159,106, 32, 78,  7,142, 81,115, 58, 66,163,
1071         132, 29,117,  6, 77, 85,141, 55,105,162, 67, 33,143)(  4,129, 83,102,
1072         62, 14,165, 41, 30,130,  5,103, 88, 24, 61, 40,160,119, 31,104, 10,
1073          25, 87, 50, 56,118,161, 93, 36, 26,  9, 51, 82,128, 57, 92,166, 15,
1074          35, 52)(  8,155, 86,154, 60,144,164,145, 34,156)( 12, 90, 89, 63,
1075          53,157,158, 28, 39, 13)( 16,113, 45, 69,124,135, 94,114, 19, 74, 46,
1076         134,120,109, 97, 75, 20,139, 42,108,123, 70, 98,140)( 17,126, 44, 95,
1077         127, 18,100, 49)( 21,152, 47,147,125,148, 99,153)( 22, 48, 43,121,
1078         122, 96,101, 23)( 68,111,136)( 71, 72,137,133,107,110)
1079        ( 73,150,138,146,112,149),
1080      (  1,101, 22,  8,153, 19, 73,148,110, 69,122,117,160,118,104,165)
1081        (  2, 36, 25, 47,145, 32, 77, 44,106, 30,129, 52,158, 27,103, 48)
1082        (  3, 88, 20,138,146, 84, 72,135,107, 82,124,143,159, 79, 98,139)
1083        (  4,127, 26,164,144, 97, 74,  5,114, 17,125,156,162, 66, 96,113)
1084        (  6, 75, 18,112,147,123, 78,161,105, 95,126, 13,166, 14, 99,152)
1085        (  7,140, 16, 86,150,136, 68, 83,111,134,120, 91,163,131, 94, 87)
1086        (  9, 10, 23, 21,151,149, 71, 70,109,108,121,130,169,157, 92,100)
1087        ( 11, 62, 24, 60,154, 58, 76, 57,115, 56,128, 65,167, 53,102, 61)
1088        ( 12, 49, 15, 34,155, 45, 67, 31,116, 43,119, 39,168, 40, 93, 35)
1089        ( 28, 38, 51, 41)( 29, 90, 46,132)( 33,142, 42, 80)( 37, 64, 50, 54)
1090        ( 55, 89, 59,141)( 81, 85,137,133) ] ],
1091[ 71, 77551576087265280000, 0, "4c", [ [ 144, 1 ], [ 24, 1 ] ], 1,
1092  "Sym(13) wreath Sym(2)", [ "A", 13, 2 ],
1093  [ (  1, 29, 14, 34,105, 36, 40, 37,118, 32, 66, 35,157, 38, 79, 33,131, 30,
1094          53, 28, 92, 39)(  2, 94, 26,  8,107, 23, 47,115,127, 45, 76,126,162,
1095         77, 87,163,142, 82, 59,132, 95, 65)(  3, 16, 21,112,114, 49, 50,128,
1096         123, 71, 74,165,168, 90, 85,137,134, 56, 54, 93,104, 13)
1097        (  4, 55, 15, 99,117, 10, 42, 24,125,110, 75, 48,167,129, 84, 72,139,
1098         160, 64, 80, 98,143)(  5,146, 18,151,109,153, 44,154,122,149, 70,152,
1099         161,155, 83,150,135,147, 57,145, 96,156)(  6, 68, 22,164,116, 88, 46,
1100         141,121, 58, 67,100,169, 12, 81, 20,138,108, 62, 41,102,130)
1101        (  7,133, 17, 60,106,101, 52, 11,120, 19, 73,113,166, 51, 89,124,136,
1102          69, 61,158,103, 91)(  9,159, 25, 86,111,140, 43, 63,119, 97, 78)
1103        ( 31,144), (  1, 83,132,101, 58, 73,167, 25,152,105,  5, 80,140, 97,
1104          60, 76,168, 22,144,109,  2, 88,136, 99, 63, 77,165, 14,148,106, 10,
1105          84,138,102, 64, 74,157, 18,145,114,  6, 86,141,103, 61, 66,161, 15,
1106         153,110,  8, 89,142,100, 53, 70,158, 23,149,112, 11, 90,139, 92, 57,
1107          67,166, 19,151,115, 12, 87,131, 96, 54, 75,162, 21,154,116,  9, 79,
1108         135, 93, 62, 71,164, 24,155,113)(  3, 82,137,104, 55, 69,163, 26,146,
1109         108,  7, 91,133, 95, 59, 78,159, 17,150,117)(  4, 85,143, 94, 56, 72,
1110         169, 16,147,111, 13, 81,134, 98, 65, 68,160, 20,156,107)
1111        ( 27, 44, 28, 49, 32, 47, 37, 51, 35, 40, 31, 41, 36, 45, 34, 50, 38,
1112          48)( 29, 43, 33, 52)( 30, 46, 39, 42)(118,122,119,127,123,125,128,
1113         129,126)(120,121,124,130) ] ],
1114[72, Factorial(169)/2,1,"2",[[168,1]],167, "Alt(169)", ["A",169, 1], "Alt"],
1115[73, Factorial(169),0,"2",[[168, 1]],169, "Sym(169)", ["A",169, 1], "Sym"],
1116[ 74, 4056, 2, "1", [ [ 12, 8 ], [ 24, 3 ] ], 1, "13^2:3:D_8",
1117  [ "Z", 13, 2 ],
1118  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^6, 0*Z(13) ] ], [ [ Z(13)^0, 0*Z(13) ],
1119          [ Z(13)^5, Z(13)^6 ] ] ] ],
1120[ 75, 12168, 2, "1", [ [ 12, 2 ], [ 36, 2 ], [ 72, 1 ] ], 1,
1121  "13^2:(3 x 3:D_8)", [ "Z", 13, 2 ],
1122  [ [ [ 0*Z(13), Z(13)^0 ], [ Z(13)^2, 0*Z(13) ] ],
1123      [ [ Z(13)^0, 0*Z(13) ], [ Z(13)^9, Z(13)^6 ] ] ] ]];
1124PRIMGRP[170]:=
1125[[ 1, 2413320, 1, "2", [ [ 169, 1 ] ], 2, "PSL(2, 13^2)",
1126  [ "L", [ 2, 169 ], 1 ],
1127  [ (  1,116,128,119,113, 45, 53, 87, 24,156, 98, 14,103,102, 12,115, 21,  5,
1128          16,121,147)(  2, 89, 47, 82, 30, 83, 40, 17, 60, 85,142, 33, 93,125,
1129         38,161,135, 20, 50, 26, 48)(  3, 13,114,111, 39,145,168,166, 88, 67,
1130         144, 94,152, 18, 36, 73,123,112, 23, 25,146)(  4, 11, 51, 41, 31, 71,
1131         78, 27, 72,157,104,120,101, 74,  8,151,132,148, 95, 10, 55)
1132        (  6, 90, 99,143,130,134, 63,160,  7, 54,126, 28, 75, 92, 19,118,122,
1133         109,153,162, 76)(  9, 46, 64,100,158,108, 15,164, 86, 84,107, 43,141,
1134         138, 69, 79,106, 57, 59,140,129)( 22, 65, 42,169, 52,170, 35,163, 80,
1135         34, 56, 32, 62,117, 91, 44,127,159, 49,110,167)( 29, 37,139,133,124,
1136         136, 81,105,131, 66, 77, 61,137, 70,150,149, 68,154, 96, 58,165),
1137      (  1, 46, 85, 52, 76,112,142, 40, 48,159, 63, 33,103,108,  3, 35, 10)
1138        (  2,  7, 77, 47,121, 62, 70,138,168, 34, 58, 25, 64,109,100, 75,107)
1139        (  4,130, 94, 98,124,114,123,152, 83,  5,154, 18, 31,122,164,149, 89)
1140        (  6,104,163,162, 99,160,161, 57, 19,140, 91, 53,119,120, 11,118,117)
1141        (  8,110, 65,  9, 61, 38, 73, 26,125, 15,151, 96,144, 29, 87, 50, 90)
1142        ( 12, 16,150,106, 21,131,116,158, 79, 92,126,105, 27,128,157,166,156)
1143        ( 13,132,113, 51,147, 41, 82, 42,137,135, 74, 80, 66,153,146, 32, 24)
1144        ( 14,129, 95,155, 84, 37, 72, 49,101, 45,170,102, 20, 60, 23, 81,136)
1145        ( 17, 88, 56, 71,165,139,141,115, 39, 54, 22, 93,169, 43, 55, 67,111)
1146        ( 28, 69,133, 59,167,148, 97, 86, 78,134,127, 44, 30, 36,145,143, 68)
1147     ] ],
1148[ 2, 4826640, 0, "2", [ [ 169, 1 ] ], 3, "PGL(2, 13^2)",
1149  [ "L", [ 2, 169 ], 1 ],
1150  [ (  1,124, 35, 29)(  2,  6, 85, 39)(  3, 66, 74, 63)(  4, 56, 22, 34)
1151        (  5, 95, 86, 87)(  7,145,147, 45)(  8, 27,141, 48)(  9,118, 69,154)
1152        ( 10, 40,107,152)( 11, 96, 47,156)( 12,134,144,122)( 13, 58,125,155)
1153        ( 14, 51, 94,112)( 16, 25,142, 30)( 17, 49,110,167)( 18, 20,158,120)
1154        ( 19, 73, 28, 98)( 21, 31,153, 43)( 23,140,149,135)( 24,138,157,117)
1155        ( 26,108, 37,121)( 32,106,123,129)( 33, 84, 65,170)( 36, 42, 59,133)
1156        ( 38,103, 83,104)( 41,164,136,130)( 44,128, 57,139)( 46,115, 97, 89)
1157        ( 50,119, 76, 68)( 52, 90,105, 88)( 53, 71,114,151)( 54,166, 93, 64)
1158        ( 55,116,148,168)( 60, 75,113, 77)( 61, 82, 62,127)( 67,137, 92,146)
1159        ( 70,160, 78, 79)( 72,169,111,101)( 80,159,163,126)( 81,132,165,100)
1160        ( 91, 99,162,102)(109,161,131,143),
1161      (  1, 55, 31, 61, 25, 50,117,  9, 41,100, 22, 26,112, 17,120, 32, 67,
1162          77,  7, 21,114, 65, 98, 57, 16, 49,170, 93,107, 37, 47, 82,164, 97,
1163           2, 88, 92, 14, 73,105,167, 64, 89, 53, 83, 59,113, 23,111,  6,118,
1164         142,166,108,  3, 91)(  4,109, 86,135, 43,130, 11,139,144,161, 48,121,
1165         143, 29, 15,150,157, 42,159, 96,133,115, 69,  8,102, 95, 84,153, 36,
1166          81, 24, 52, 70, 10,155,158,132,148,146, 46, 27, 75, 76,116, 79,156,
1167         122, 58,119, 34, 94,137, 63, 60,101,124)(  5,110,160, 13, 54, 51,147,
1168         20, 80,165, 56,162,128, 35,168, 38, 39, 87, 68,138,136,152,126,129,
1169         104, 44, 62, 90, 33, 78,131, 30, 19, 12,106, 45,169,151, 18,125, 72,
1170         127,134, 99, 85,141,163, 66,123,140,145,103,154, 71,149, 28) ] ],
1171[ 3, 4826640, 0, "2", [ [ 169, 1 ] ], 2, "PSigmaL(2, 13^2)",
1172  [ "L", [ 2, 169 ], 1 ],
1173  [ (  1, 25, 94,137,  8,120, 37,122, 56, 51, 72, 60, 38,130,110,112, 83, 47,
1174         168,105,165, 21,128, 84,129, 12)(  2,132,  7, 92,135, 13, 71, 88,140,
1175         116, 27, 28,156, 32,143, 87,169, 85,115,107, 77, 33,154,  4, 65, 35)
1176        (  3, 79,160,127,119,152,  6,131, 75,123, 11,161,139, 42,144, 91, 81,
1177         102,162,163, 69, 96, 31,  5,147, 93)(  9, 34,121, 16,134, 86, 62, 95,
1178         125, 24, 41, 26, 99)( 10,164, 57, 19, 98, 67, 66, 53, 22,141, 46, 50,
1179         64,153, 29, 44, 97, 55, 40,104, 20,155, 76, 23,159, 15)
1180        ( 14,146,111,101,142,167,113, 68, 39, 43, 61,166, 59,150,114,103,118,
1181          78, 30,149, 58, 45,133,170, 54, 73)( 17,106, 18, 49,151,117,148, 82,
1182         63,100, 36,124,108, 80, 74, 48, 90, 89,109,136,138,157, 52, 70,145,
1183         126), (  1,161,159, 31, 76, 82,137, 57, 45, 15, 55,101,  8, 97)
1184        (  2,126, 95, 88, 42, 14,122,  4,105, 17,150, 72,118, 24)
1185        (  3,  9, 60, 93, 74, 64,136, 10, 33, 62, 18,160,103, 12)
1186        (  5,125, 69,146, 65, 70,151,120,109, 86, 84,132,135, 81)
1187        (  6, 19,104, 77,156, 36,102, 25, 73,138,157, 43,154,169)
1188        (  7, 92,165,106,158,163,111, 63,121,148, 29,133, 90, 30)
1189        ( 11,124, 53, 71, 54,164,145, 48,110, 16,144, 61, 99, 44)
1190        ( 13,107, 38, 26,143,166, 68)( 20, 28, 41,141, 85,130, 34, 89, 80,147,
1191         46,167, 96,123)( 21,149,112,162,113,152,155, 78, 67, 40, 22,142, 56,
1192          94)( 23, 79,128,114,153, 52,170, 87,140, 35, 59, 83, 98,131)
1193        ( 27,127,134, 91, 37, 51,100)( 32, 58,139,168,115,108, 75,117, 39, 47,
1194         66,119,129, 49)( 50,116) ] ],
1195[ 4, 4826640, 0, "2", [ [ 169, 1 ] ], 3, "PSL(2, 13^2).2_3",
1196  [ "L", [ 2, 169 ], 1 ],
1197  [ (  1,  7, 95, 24,117)(  2, 93,118,149,138)(  3, 61, 48, 36, 69)
1198        (  4,169, 34,112,  8)(  5,128,133, 77, 63)(  6,152, 58, 66,148)
1199        (  9,147,150,116, 46)( 10, 39, 51,108,127)( 11,165, 68,124, 27)
1200        ( 12, 65, 84,141,153)( 13,146, 76, 42, 45)( 14, 80,158, 23, 18)
1201        ( 15, 21, 75,168, 97)( 16, 44,126,134, 40)( 17,129,115, 59, 64)
1202        ( 19,123,156,144,131)( 20, 54, 43, 74, 99)( 22,119,111,143, 90)
1203        ( 25, 86,122, 91,135)( 26, 89,113, 62,145)( 28,114,105,151, 71)
1204        ( 29,163, 82, 96,110)( 30,155,109, 94, 56)( 31,139,154, 55, 72)
1205        ( 32, 33,100, 60,125)( 35,142, 85, 52,104)( 37,162,136, 98, 83)
1206        ( 38, 53,161,120,137)( 41, 87, 78,164,121)( 47,130, 79,103,166)
1207        ( 49, 81, 73,170,102)( 50,157, 88,140,107)( 57,101, 70,106,167)
1208        ( 67,132, 92,159,160),
1209      (  1, 80,156, 46, 29, 30, 79, 63,117, 92,158, 20, 73, 41,137, 34,145,
1210         106,  9,148,142, 96, 67,163,160,133,  4, 85)(  2, 74,  6,115, 12,153,
1211         154, 33, 44, 76, 24, 61,134, 58, 47, 72,123,165, 55, 90,167, 53,131,
1212          87,166, 95, 11,159)(  3, 81,103, 77, 54, 13,105,104,170,128,143, 49,
1213         5,155,114,151,108, 94,135, 35, 91, 75,139,157,164, 27, 17,138)
1214        (  7,118,109, 57, 15, 89, 98, 62, 38,127, 18,  8, 78,129, 50, 59, 56,
1215          45, 60, 68, 51, 93, 66,141,101, 97, 65,124)( 10,152, 83,147,122, 99,
1216         26, 69, 82,136,161, 84, 37,126, 48, 28,119, 21, 64, 42,132,140,162,
1217         169,112, 32,125, 16)( 14,121, 25, 43, 71, 31,150, 19, 36,111,110, 22,
1218         149, 88, 52,146,107, 39,120,116, 70, 23,100, 86,168,144,113, 40)
1219        (102,130) ] ],
1220[ 5, 9653280, 0, "2", [ [ 169, 1 ] ], 3, "PGammaL(2, 13^2)",
1221  [ "L", [ 2, 169 ], 1 ],
1222  [ (  1,116, 63,164, 43, 98,151, 50)(  2,133,126,114, 42, 81, 88,100)
1223        (  3, 71,127, 73, 41,143, 87,141)(  4, 83, 84,139, 40,131,130, 75)
1224        (  5,158, 65,156, 39, 56,149, 58)(  6,162,  9, 95, 38, 52, 35,119)
1225        (  7, 10, 78, 77, 37, 34,136,137)(  8,108,157, 69, 36,106, 57,145)
1226        ( 11,125,165,169, 33, 89, 49, 45)( 12,105, 62, 28, 32,109,152, 16)
1227        ( 13,140, 79, 85, 31, 74,135,129)( 14,124,112,150, 30, 90,102, 64)
1228        ( 15, 97,166, 67, 29,117, 48,147)( 17,113,115, 20, 27,101, 99, 24)
1229        ( 18, 92, 53, 51, 26,122,161,163)( 19, 91,153,120, 25,123, 61, 94)
1230        ( 21,104,154,146, 23,110, 60, 68)( 44,167,159, 70,170, 47, 55,144)
1231        ( 46,111, 54,138,168,103,160, 76)( 59,121,132, 72,155, 93, 82,142)
1232        ( 66, 96,128,134,148,118, 86, 80),
1233      (  1,117,137, 79, 29,156, 67)(  2,146, 36, 14,147, 76, 50, 42, 27, 57,
1234         141,134, 87, 96)(  3,157,165,169,118,139, 60, 82, 88,115, 12,150, 83,
1235         133)(  4,145,142,158,160,  9, 73)(  5, 54, 75,100, 89, 23, 10,132,
1236          37, 22, 45,110, 77, 91)(  6, 34, 33, 55,124, 68,138,140, 38, 53,136,
1237         71,168, 39)(  7, 44, 41, 56,126, 80, 72, 63, 16, 98,163,131, 66, 74)
1238        (  8, 94, 64, 46, 65,114,144,107, 19,143,101, 30,162,104)
1239        ( 11,159,116,122, 15,103, 93, 21, 58, 81,164, 20,161,113)
1240        ( 13, 84, 70,170,106, 92, 99, 86,167, 59,119, 18,109, 47)( 17, 26)
1241        ( 24,111, 69, 85,148,108,149,152, 35,123, 51, 78,112, 62)
1242        ( 25,155,154,120,127, 28,121, 97, 43, 32,129, 52,166, 49)
1243        ( 31,105,125,128,153,102, 95,151, 48,135, 40, 90,130, 61) ] ],
1244[6, Factorial(170)/2,1,"2",[[169,1]],168, "Alt(170)", ["A",170, 1], "Alt"],
1245[7, Factorial(170),0,"2",[[169, 1]],170, "Sym(170)", ["A",170, 1], "Sym"]];
1246PRIMGRP[171]:=
1247[[ 1, 3420, 1, "2", [ [ 20, 4 ], [ 5, 2 ], [ 10, 8 ] ], 1, "PSL(2, 19)",
1248  [ "L", [ 2, 19 ], 1 ],
1249  [ (  1,168)(  2,123)(  3, 76)(  4, 66)(  5, 86)(  7,153)(  8, 91)(  9, 38)
1250        ( 11, 55)( 12, 95)( 13,101)( 14, 71)( 15, 26)( 16,102)( 17, 99)
1251        ( 18, 74)( 19, 22)( 20, 72)( 21,115)( 24, 70)( 25, 28)( 27, 53)
1252        ( 29,152)( 30,109)( 31, 59)( 32, 52)( 33, 83)( 34, 79)( 35, 73)
1253        ( 36, 93)( 37,118)( 39,159)( 40,160)( 41, 49)( 42,127)( 44,121)
1254        ( 45, 81)( 46,149)( 47, 51)( 48,144)( 54, 64)( 56,131)( 57,117)
1255        ( 58,150)( 60,112)( 61,119)( 62,138)( 63, 80)( 65, 96)( 67,132)
1256        ( 68,171)( 69,103)( 75, 90)( 77,111)( 78, 87)( 82,110)( 85,104)
1257        ( 88,158)( 89,142)( 92,151)( 94,137)( 97,170)( 98,116)(100,130)
1258        (106,141)(108,154)(113,156)(114,146)(120,124)(122,133)(125,126)
1259        (128,145)(134,135)(136,161)(139,163)(140,155)(143,164)(147,167)
1260        (157,165)(162,166), (  1, 56, 25,147, 12,136, 13,140, 41, 90,129,170,
1261          15, 63, 27,133,160,105, 75)(  2, 26,149, 49,100, 99,  7, 31,168, 22,
1262         122, 30, 20, 57, 39, 74, 85, 73, 47)(  3, 71, 52, 16,130,150,  4, 97,
1263         141, 40, 33,158, 59,152, 54, 87,120,144, 21)(  5,106,112,121,157, 24,
1264         72,  9, 80,125, 58, 88,127, 53, 11, 51, 70,156,164)(  6, 78, 28,119,
1265         153,162, 32, 45, 65, 64,114, 17,142,101, 14, 10,137, 95,163)
1266        (  8, 62,146,135, 50, 35, 96,145, 76,124, 98, 81,117, 84,103,166,110,
1267         132,118)( 18, 44,116, 66, 48, 46,139, 79,108, 60, 86,154, 93, 94, 19,
1268         115, 83,128,143)( 23,155,159, 68,165, 82, 34, 43,123, 69,134,109,107,
1269         36,138,113,151,104,131)( 29, 77,126,167,169, 92, 38, 37, 55,171,148,
1270         161, 42,111,102, 67, 89, 61, 91) ] ],
1271[ 2, 6840, 0, "2", [ [ 20, 8 ], [ 10, 1 ] ], 1, "PGL(2, 19)",
1272  [ "L", [ 2, 19 ], 1 ],
1273  [ (  1,  7)(  2,122)(  3,137)(  6,141)(  8, 78)(  9, 13)( 10,125)( 11,171)
1274        ( 12, 91)( 14, 97)( 15,116)( 16,154)( 17, 30)( 18, 29)( 19,124)
1275        ( 21, 31)( 22, 41)( 23,150)( 24,118)( 25,117)( 26, 75)( 27, 83)
1276        ( 28, 44)( 33,131)( 34,115)( 35, 43)( 36, 37)( 38, 82)( 39,123)
1277        ( 42,168)( 45, 99)( 46,164)( 47,119)( 48,145)( 49,120)( 50,136)
1278        ( 51,132)( 52, 84)( 53, 56)( 54, 55)( 57,121)( 59, 79)( 60, 76)
1279        ( 61, 67)( 62,155)( 63, 69)( 64, 68)( 66,107)( 70, 93)( 71, 92)
1280        ( 72,169)( 74,134)( 77,149)( 80,114)( 81,109)( 85,156)( 86,148)
1281        ( 87, 95)( 88,163)( 89,144)( 90, 98)( 94,112)( 96,105)(100,140)
1282        (101,110)(102,147)(103,146)(104,166)(108,167)(111,143)(113,162)
1283        (127,153)(128,142)(129,160)(130,138)(133,159)(135,152)(139,157)
1284        (151,170)(158,165), (  1, 45,127, 30)(  2, 99,159,109)(  3,119,112,132
1285         )(  4,130,107,155)(  5, 76,148, 94)(  6,118,106, 93)(  7, 47, 42, 67)
1286        (  8,163, 95,165)(  9, 71,110,170)( 10,138,126,140)( 11,117, 64, 44)
1287        ( 12,147, 78,154)( 13, 60, 82,137)( 14,104,151,113)( 15,166, 90,156)
1288        ( 16, 24,167, 36)( 17,114, 81, 69)( 18, 61,135, 51)( 19,171, 49, 54)
1289        ( 20, 88,169,157)( 21,168, 79,153)( 22,144,120,128)( 23, 92, 58, 97)
1290        ( 25, 57,121, 28)( 26,134, 98, 29)( 27, 38,131,101)( 31,102, 34,108)
1291        ( 32, 33, 84, 53)( 35, 96)( 37, 63, 70,146)( 39, 56,122, 83)
1292        ( 40, 80,129,103)( 41, 77,124,164)( 43,111, 73, 46)( 48,133,142,123)
1293        ( 50, 89,161,145)( 52, 72)( 55, 62, 68,100)( 59, 74,115,152)
1294        ( 65, 75,105,116)( 66,160)( 85,158,162,139)( 86,136)( 87,149, 91,143)
1295        (125,141) ] ],
1296[ 3, 60822550204416000, 1, "2", [ [ 34, 1 ], [ 136, 1 ] ], 1, "Alt(19)",
1297  [ "A", 19, 1 ],
1298  [ (  1,132,163,  5, 47, 86,113,168,170, 73,115, 32, 17, 87, 43, 37, 61, 24,
1299           4)(  2,123,  6,156, 55,138,160,128, 82,162,135,136, 39, 77, 69, 51,
1300         78, 99, 36)(  3, 16, 72, 57,141,  7,146, 74,153, 28,161, 84, 44, 45,
1301          13,139,140,110,137)(  8, 81,143,103, 11,164,126, 76,165, 18,104, 94,
1302         31, 22, 35,144,130, 85, 19)(  9, 12,106,149,158, 40, 93, 92, 54,154,
1303         147, 59, 60, 53, 97,119,120, 30,152)( 10,131,112, 90,116, 29,118, 52,
1304         67,171, 15,102,122, 95, 41, 23, 68, 58,145)( 14, 63,133,101,148,151,
1305         167, 26, 96,169,108,114,105, 46, 48, 49,150, 75, 89)( 20, 83,159, 62,
1306         21,107,124, 88,125,155, 80, 64, 42, 66,109, 79, 33,157, 91)
1307        ( 25,111, 65, 71, 34, 27, 50,134, 70,166,142,100, 56,127,129, 98, 38,
1308         117,121), (  1,112, 64, 25,102,123,133, 91, 81, 36)(  2,142, 48, 15,
1309         131,152,157,121, 63, 24)(  3,  8)(  6,167, 41,  7,151,156,149,158,
1310          55, 14)(  9, 16)( 10,111, 65, 96,168,146,137,143, 92, 21)
1311        ( 11,164,163,138,141, 47, 19, 12,159, 34)( 13,130,147, 60, 18,114,127,
1312         58,169, 52)( 17, 88,161, 75,107,134, 27, 78, 42, 94)( 20, 73,116,128,
1313         82,106,117,101,126, 22)( 23,109)( 26, 61, 90,105, 32, 70,135, 85, 76,
1314         145)( 28,170, 83, 57,113,160, 33, 30,122,136)( 29, 98)( 35,119)
1315        ( 37, 39)( 38, 46,110,115, 45, 54,125, 95, 67,153)( 40,166,132, 74,165
1316         )( 43, 87)( 44, 53)( 49,140)( 50,124, 68, 97,150, 84, 77,108,104, 66)
1317        ( 51, 59)( 56,162,154,148, 93,103, 86,171, 72,155)( 62, 89)( 71, 79)
1318        ( 80, 99)(100,120)(118,129) ] ],
1319[ 4, 121645100408832000, 0, "2", [ [ 34, 1 ], [ 136, 1 ] ], 1, "Sym(19)",
1320  [ "A", 19, 1 ],
1321  [ (  1, 39, 82, 74, 12, 71,134,142, 20, 26, 91,147,111, 76,158,159,130, 80,
1322         168,126)(  2, 54,160,112, 42,135,113,167,  6, 44,121,162, 72,100,169,
1323         73,143, 62,141, 94)(  3, 88, 63, 25, 27,102,107,164,149, 98)
1324        (  4, 18,146,133, 23,151, 58,  8, 11, 52)(  5,109,119, 15, 40, 81, 49,
1325         161, 93,138)(  7, 55,140, 35,170, 86, 16, 29,114,157)
1326        (  9, 69,131,128, 47)( 10, 38,123, 13,125, 57, 14, 89, 75, 24, 70,106,
1327         36, 53, 83,117, 79,163, 78, 99,148, 33,120,127,166, 67,156, 19, 37,
1328         152)( 17,104, 96,118, 41, 43, 48,108, 21,144)( 22, 51,116, 97, 45, 66
1329         )( 28, 68, 64, 87,154, 50, 34,129, 60,139)( 30, 31,103,155,110, 95,
1330         171,105,132, 46,145, 65)( 32,124,136,150)( 56, 59,165, 84)
1331        ( 61, 85,137)( 90,153, 92,122)(101,115),
1332      (  1, 57, 21, 80,129, 82, 36, 65, 60, 35,118,125, 25,132, 96, 63, 59,
1333         151, 91,137,136,119, 87,164,120,148, 56,157, 68,135,  9,103, 22,142,
1334          43,161, 16, 85, 28,  2, 50,146,100,163,165, 24, 84,114, 49,156, 45,
1335          15,150, 93, 81, 95, 41,121, 97, 73,140,127, 34, 99,108,111,133,106,
1336          32,  3,124,166,112, 75, 17,  8, 51,170)(  4, 66,154)
1337        (  5,145, 10,122, 58, 27, 62, 89,168, 30, 74, 52, 39)(  6,113, 33,115,
1338         109,169, 14,105, 88, 42,138, 38, 54)(  7,110,128, 72, 76, 55,153, 19,
1339         92, 78,147, 98, 53)( 11,101,117,126, 44, 29,158, 61,162,130,107, 47,
1340          31)( 12, 67, 40, 90,149,160, 46,159,134, 13,167, 37, 18)
1341        ( 20,143, 86, 26, 71,141,171,155, 94, 69, 23, 79, 70)( 48,139,104,102,
1342         123,116)( 64,152, 77,131,144, 83) ] ],
1343[5, Factorial(171)/2,1,"2",[[170,1]],169, "Alt(171)", ["A",171, 1], "Alt"],
1344[6, Factorial(171),0,"2",[[170, 1]],171, "Sym(171)", ["A",171, 1], "Sym"]];
1345PRIMGRP[172]:=
1346[[1, Factorial(172)/2,1,"2",[[171,1]],170, "Alt(172)", ["A",172, 1], "Alt"],
1347[2, Factorial(172),0,"2",[[171, 1]],172, "Sym(172)", ["A",172, 1], "Sym"]];
1348PRIMGRP[173]:=
1349[[ 1, 173, 3, "1", [ [ 1, 172 ] ], 1, "C(173)", [ "Z", 173, 1 ], [  ] ],
1350[ 2, 346, 2, "1", [ [ 2, 86 ] ], 1, "D(2*173)", [ "Z", 173, 1 ],
1351  [ [ [ Z(173)^86 ] ] ] ],
1352[ 3, 692, 2, "1", [ [ 4, 43 ] ], 1, "173:4", [ "Z", 173, 1 ],
1353  [ [ [ Z(173)^43 ] ] ] ],
1354[ 4, 7439, 2, "1", [ [ 43, 4 ] ], 1, "173:43", [ "Z", 173, 1 ],
1355  [ [ [ Z(173)^4 ] ] ] ],
1356[ 5, 14878, 2, "1", [ [ 86, 2 ] ], 1, "173:86", [ "Z", 173, 1 ],
1357  [ [ [ Z(173)^2 ] ] ] ],
1358[ 6, 29756, 2, "1", [ [ 172, 1 ] ], 2, "AGL(1, 173)", [ "Z", 173, 1 ],
1359  [ [ [ Z(173) ] ] ] ],
1360[7, Factorial(173)/2,1,"2",[[172,1]],171, "Alt(173)", ["A",173, 1], "Alt"],
1361[8, Factorial(173),0,"2",[[172, 1]],173, "Sym(173)", ["A",173, 1], "Sym"]];
1362PRIMGRP[174]:=
1363[[ 1, 2588772, 1, "2", [ [ 173, 1 ] ], 2, "PSL(2, 173)",
1364  [ "L", [ 2, 173 ], 1 ], "psl" ],
1365[ 2, 5177544, 0, "2", [ [ 173, 1 ] ], 3, "PGL(2, 173)",
1366  [ "L", [ 2, 173 ], 1 ], "pgl" ],
1367[3, Factorial(174)/2,1,"2",[[173,1]],172, "Alt(174)", ["A",174, 1], "Alt"],
1368[4, Factorial(174),0,"2",[[173, 1]],174, "Sym(174)", ["A",174, 1], "Sym"]];
1369PRIMGRP[175]:=
1370[[ 1, 58800, 1, "2", [ [ 56, 1 ], [ 48, 1 ], [ 28, 1 ], [ 42, 1 ] ], 1,
1371  "PSL(2, 7^2)", [ "L", [ 2, 49 ], 1 ],
1372  [ (  1, 21, 39, 98, 31,105, 15,146, 26,100, 90, 86, 67,110, 99,132, 36,171,
1373         135,109,  5,144, 34,173)(  2,169, 55, 49, 63, 97,113,170,152, 85, 45,
1374         175, 64,  9, 30, 74, 93, 10,123, 81, 76, 37, 72, 80)(  3,127,  8,158,
1375         125, 56,114,117,138,157,111, 33,143, 71,118, 20, 14,131,164, 19, 78,
1376          52,104,168)(  4, 83, 25, 96, 73, 27, 32, 66,167, 79, 38, 51, 68, 88,
1377         139,172, 60, 28,160,107,166, 48, 65, 87)(  6, 89,148,155, 12, 18, 92,
1378         163,122, 43, 70, 84,103,162,130, 22,128, 17, 75,112,124, 61, 91,136)
1379        (  7,116,101,153)( 11,156,165,145,129,154,147,121,108, 62,141,102, 58,
1380         23,134, 54, 40, 53, 57, 44, 42,142,159,151)( 13,149, 16, 47,126,119,
1381         174, 29,140,120,137, 77, 82,133,161, 50,106, 46, 94, 95,115, 35, 24,
1382          69)( 41, 59,150), (  1,118,126, 86)(  2,  6,  5, 18)(  3, 15, 97, 63
1383         )(  4, 76, 85, 77)(  7, 28, 42, 29)(  8,124, 43,139)(  9, 35,103, 84)
1384        ( 10, 14, 11, 33)( 12, 19, 26,151)( 13, 81,108, 51)( 17,134, 40,114)
1385        ( 20, 65,142,163)( 21, 37,107, 39)( 22, 58,170, 88)( 23, 95,160,104)
1386        ( 24, 72, 90, 68)( 25, 73,116,148)( 27,140, 55,112)( 30, 98, 94, 62)
1387        ( 31, 70,169,159)( 32, 45, 69,121)( 34, 46,128,100)( 36, 47,129,119)
1388        ( 38, 79,125,150)( 41,161,105, 48)( 44,152, 99, 49)( 50,158,113,133)
1389        ( 52, 54,106, 53)( 56, 67,132,102)( 57, 82)( 59,131,154,149)( 60,122)
1390        ( 61,171, 71, 96)( 64,136,137, 80)( 66,117, 78,157)( 74,123,156, 92)
1391        ( 75,141,144,175)( 83, 91, 89,120)( 87,173,164,166)( 93,109,138,147)
1392        (101,143,146,162)(110,167,135,127)(111,155,174,165)(115,130,168,153)
1393     ] ],
1394[ 2, 117600, 0, "2", [ [ 56, 1 ], [ 48, 1 ], [ 28, 1 ], [ 42, 1 ] ], 1,
1395  "PSigmaL(2, 7^2)", [ "L", [ 2, 49 ], 1 ],
1396  [ (  1, 75,119, 37,141,  8)(  2,112, 36,159,149,170)(  3,162,156,110, 48, 82
1397         )(  4,167,123, 91,148, 30)(  5, 13,133,160,155,105)(  6, 31,113,120,
1398         168,145)(  7,174, 47,125, 67,132)(  9,107,169,109,117, 16)
1399        ( 10, 34, 92, 50,164, 57)( 11, 64, 88,152, 40,165)( 12,166, 97)
1400        ( 14, 24, 96,154, 51,173)( 15, 23,101,142, 35, 66)( 17,138,144, 27,
1401         115, 62)( 18, 19, 89, 70, 38,130)( 20,135, 55, 77,103, 44)
1402        ( 21,150,140)( 22, 25, 99,100, 95,126)( 26, 80, 46)( 28, 79,127)
1403        ( 29, 90, 49)( 32,131, 61, 87, 41, 58)( 33, 83,158,146, 73,161)
1404        ( 39,147, 69,136, 76, 81)( 42,114,143, 60, 78,118)( 43,157,139,129,
1405          59,172)( 45, 52,111, 56, 72, 53)( 54, 93, 84)( 63,121,163)( 65,116)
1406        ( 68,122, 85)( 71,175, 98,102, 94, 74)( 86,108,137)(104,171,128,153,
1407         124,106), (  1,151,110, 15, 84,157, 96,160, 72,133,103,115,127, 98)
1408        (  2, 22, 28, 91,101,107,162, 89,144, 58, 93,168, 16, 63)
1409        (  3, 36,117, 65,158,164,130,171, 37, 80,132, 10, 39, 68)
1410        (  4,135,150,156,167, 85,173, 61,136, 55,112, 11, 24, 47)
1411        (  5,104, 59, 56,154, 95,138,174,105, 30, 54, 12, 49,  8)
1412        (  6,  9,143, 27, 99,163, 48,140,146, 35,147,125, 53, 92)
1413        (  7,137,172, 14,175, 79,109,142, 81, 77, 13, 20, 18, 74)
1414        ( 17, 31, 88, 82,124,128,155, 60,170,148,114,100, 23, 46)
1415        ( 19,113, 66, 62, 83, 40,111, 97,102, 67,153, 43,134,120)
1416        ( 21, 50, 26,165,139, 94, 78)( 25,108,169, 44,145,161, 73, 51,159, 29,
1417         45,131, 32, 75)( 33,121, 38, 70,119, 34,166,116,123, 69, 64,122,126,
1418          57)( 41,106,149, 52,152, 42,141)( 71, 90, 86,129, 76, 87,118) ] ],
1419[ 3, 126000, 1, "2", [ [ 12, 1 ], [ 90, 1 ], [ 72, 1 ] ], 1, "PSU(3, 5)",
1420  [ "2A", [ 2, 5 ], 1 ],
1421  [ (  1,132, 93,128, 81, 69, 22, 49)(  2, 59, 97, 20,172,139, 92,111)
1422        (  3,121, 38, 73, 99, 66,148,105)(  4,  7,164, 70,168, 15,173, 98)
1423        (  5,108,149, 27,158,113, 57, 50)(  6, 65, 63, 34, 48,133,165, 12)
1424        (  8,155, 16, 95,156,117,100, 82)(  9, 62, 32,159, 43, 77, 47, 60)
1425        ( 10,101, 44, 36,171, 86,109,142)( 11,146,169, 84, 55, 24, 58, 21)
1426        ( 13,170)( 14,152,161,167,162, 78,119, 91)( 17, 67, 61,102,174,122,
1427          90, 29)( 18,135,175,160,143, 23,157,144)( 19,137,115, 28,123, 68,
1428          40, 46)( 25,103, 72, 31)( 26, 41,141, 79, 52,153, 42, 75)
1429        ( 30, 33, 89, 80,136,130,147,129)( 35,124, 39,151,104, 51,114, 74)
1430        ( 37, 76, 87,145)( 45,126, 94, 96,166,154,120, 88)( 53, 64, 56, 71)
1431        ( 54,110,163, 83,106,150,118,112)( 85,138,116,131,107,134,127,125),
1432      (  1, 51,128, 21,119,154,152,113)(  2, 16,165,105, 43, 99, 29, 58)
1433        (  3,134, 18,  7, 63, 12, 94, 37)(  4,173, 67, 26, 40,  9, 56,  5)
1434        (  6,102,108, 46,161, 73,101, 88)(  8,138,137,107,174, 32, 93, 30)
1435        ( 10,157, 91,166, 39,121,159, 19)( 11, 22,150, 76, 15,160, 59, 53)
1436        ( 13, 57, 86,110,149, 83,139,125)( 14, 28, 78,123,127, 92, 75, 64)
1437        ( 17, 90,133, 87,151, 81,120, 20)( 23, 36,115,112,155,162, 42,140)
1438        ( 24, 62,175, 89, 98, 72, 54,126)( 25, 95, 97,109, 45,167,143, 71)
1439        ( 27,136, 33,114,168, 79, 41, 48)( 31,131, 74,141,158, 84,146,117)
1440        ( 34,100, 49, 66, 60,169,118,106)( 35, 69,171,163,170,153, 61, 85)
1441        ( 38, 44, 68,142)( 47,129,135, 65, 82,156, 50, 96)( 52,122, 80,103,
1442         145,111, 70, 55)( 77,172,124,144)(104,116,130,147)(148,164) ] ],
1443[ 4, 252000, 0, "2", [ [ 12, 1 ], [ 90, 1 ], [ 72, 1 ] ], 1, "PSigmaU(3, 5)",
1444  [ "2A", [ 2, 5 ], 1 ],
1445  [ (  1,110, 17, 92, 78, 37,111, 24,157,118)(  2,163,136,103, 84, 98,109, 71,
1446         23,150)(  3, 42,127,143, 35,  9, 15, 59,106, 75)(  4,142,173, 79, 46,
1447         141,108,169, 85,121)(  5, 61,166, 10,138,160,155, 16,  6,113)
1448        (  7, 72,151, 13,137,168, 62, 43, 83,144)(  8,140, 95,100,132, 58,124,
1449         139, 63, 90)( 11, 67, 41,174,145, 48,167, 39,123, 22)
1450        ( 12,116,158,126,122, 91, 82, 68, 57, 34)( 14, 26,147, 20,148,131, 52,
1451         154, 21, 76)( 18, 32, 36, 88,107,120, 87,134, 28,104)
1452        ( 19, 97,130, 70,119,146, 65, 50, 29, 27)( 25,133, 60, 94, 69, 80,175,
1453         125, 54,117)( 30,128, 73, 47, 81)( 31, 51,135, 77,129)
1454        ( 33, 74, 44,115, 64,161, 99,152,114,105)( 38,101, 53, 93,112)
1455        ( 40, 45,162,172,149,153,165,159,102, 89)( 49, 66, 86,164, 55,170, 96,
1456         56,156,171), (  1,133, 13, 64,163,144, 33,121)(  2, 16)
1457        (  3, 94, 53, 54,169, 93,123,166)(  4, 61,135,162, 89,116, 78,128)
1458        (  5,131,158,122,145, 40, 76, 11)(  6,114, 10, 85, 30, 86,126, 21)
1459        (  7, 90,127, 91,109,107, 84, 34)(  8,120, 18, 97, 28, 74, 22, 68)
1460        (  9,124,174,141, 73,118, 24, 81)( 12, 60, 39, 62, 44,111, 14, 20)
1461        ( 15, 95,101, 82,167,159, 49, 77)( 17, 67,173, 50)( 19,151,102, 26,
1462          25,143, 38,175)( 23, 48,112, 41,171,147, 35,104)( 27, 88,125,160,
1463         113, 65,115, 70)( 29,129, 58,100, 99, 80,148,172)( 31,170, 98, 51,
1464          66,130, 96, 42)( 32, 75,150, 47, 71,142,161,103)( 36, 37,119,117,
1465         110, 87, 79, 59)( 43,138,165, 56,105, 72,164,134)( 45,157, 46,156,
1466          52,106, 92,137)( 55,146,108, 63)( 69,132,136,152, 83,153,168,154)
1467        (139,140,155,149) ] ],
1468[5, Factorial(175)/2,1,"2",[[174,1]],173, "Alt(175)", ["A",175, 1], "Alt"],
1469[6, Factorial(175),0,"2",[[174, 1]],175, "Sym(175)", ["A",175, 1], "Sym"]];
1470PRIMGRP[176]:=
1471[[ 1, 13685760, 1, "2", [ [ 135, 1 ], [ 40, 1 ] ], 1, "PSU(5, 2)",
1472  [ "2A", [ 4, 2 ], 1 ],
1473  [ (  1, 31,176, 67,126, 44)(  2, 19,131, 76, 28,161, 72,164, 70,136,132, 98)
1474        (  3, 15, 21,103, 96, 35)(  4,117,163,144,115,125)(  5, 88, 85, 16)
1475        (  6, 55,151, 86, 37, 60)(  7,119, 97,137)(  8, 11, 59,141,139,155,
1476         135,172,116, 12, 14,110)(  9, 46, 84, 13,108, 79,133,114,149,166, 87,
1477         101)( 10,145)( 17,158,107,118,104,142, 48,100,106, 62,129,128)
1478        ( 18, 51, 20, 42, 41, 38,122,127, 54, 73,162, 36)( 22, 26, 24, 61, 74,
1479         49, 69, 64, 56,153,109,130)( 23, 83, 52, 77, 78,105,170, 82,160, 29,
1480         123,171)( 25, 93, 27,120, 90, 34, 68,156,169,159,150, 94)
1481        ( 30,124, 33, 57, 45,175, 65,167,134,146, 95, 50)( 32, 43,165,111, 66,
1482         75)( 39,147, 99,173,113, 92, 40, 91, 81,174,143, 71)( 47, 63)
1483        ( 53, 58,152, 89,102,121)( 80,168,157,154,140,138)(112,148),
1484      (  1, 92, 63, 53)(  2, 83, 90, 59, 82,123, 41,152, 35, 89, 31, 38)
1485        (  3, 21,  4,171,128, 78,109, 64,124, 72,113,127)(  5, 19,122,142,150,
1486         97,104,102, 80,161, 55,173)(  6,147, 29)(  7,120,130,  8)
1487        (  9, 45,166, 30,126, 36,160, 28, 77, 15,138,149)( 10, 39, 49, 88, 56,
1488         159, 23, 67,156,155,118,169)( 11,140, 17,101, 24,129, 60, 71,144,119,
1489         16, 73)( 12,110, 76, 62)( 13, 25, 14,148, 66, 54)( 18, 87, 95, 34,
1490          44,158,121,115,137,135,116,143)( 20, 94, 37, 48,106, 74, 33, 27, 47,
1491         145, 57,157)( 22, 26, 81,111)( 32,100,154, 98)( 40,170,103,163)
1492        ( 42,132, 50, 79)( 43, 84,164, 51)( 46, 68, 85,133,131,112, 86, 91,
1493         175,107,162,165)( 52,172,168,174,139,125,146, 58,151, 93,153,167)
1494        ( 61, 99,176, 69,134,141)( 65, 96, 75,114)( 70,117,105,108) ] ],
1495[ 2, 27371520, 0, "2", [ [ 135, 1 ], [ 40, 1 ] ], 1, "PGammaU(5, 2)",
1496  [ "2A", [ 4, 2 ], 1 ],
1497  [ (  1,  6, 55, 10, 70, 17, 86,176, 23, 18, 77, 12,106, 37,123,116)
1498        (  2, 39, 98, 28,138, 54, 36, 74, 41, 19,144, 43, 83, 51, 33,109)
1499        (  3,135,114,172, 91,131, 73,128,  9,127,112,164,129,171,111,104)
1500        (  4, 13,142,146, 53,134, 72, 67, 34, 35,147,157, 49,169, 52, 95)
1501        (  5,108,107, 68, 16, 75, 69, 30, 21,148,105,100, 15,118, 97, 32)
1502        (  7, 22,174, 27,160,137,110,165, 56, 24,140, 38,162,102,156,167)
1503        (  8,120, 11, 47,103,152,150,155, 20,125, 40, 26,101,153,151, 99)
1504        ( 14, 50,154,158, 93,149,145,136, 31, 25, 71,175, 81, 96,143,163)
1505        ( 29, 63,132,139, 42, 64, 60, 80)( 44, 87, 57, 62,173, 46, 45, 78)
1506        ( 48, 94, 90, 88,130,159,119, 92)( 58,122,168,115, 66, 61,166,161)
1507        ( 59, 76, 82, 84, 85,117, 79,126)( 65,113,170,121, 89,141,133,124),
1508      (  1, 26,114, 93,133, 28, 74, 16,142,136,143,  6,144, 66, 54,126)
1509        (  2, 71,149, 76,127, 46, 13, 70,165,121,167,171, 51, 25,174, 47)
1510        (  3, 64, 68,141, 90, 32,155, 18,161,105,113, 86, 22,119,122,153)
1511        (  4, 72, 33, 14, 87,154, 55, 30)(  5,150, 89, 10,125,111, 85,159, 73,
1512         95, 77, 78, 48,134, 36, 37)(  7,145,146, 42, 11, 49, 61, 67,151,175,
1513          23, 38, 35, 44,110, 56)(  8, 59,160,163, 19,135,129,103, 20, 75,124,
1514         106,166,109,170,139)(  9,162,172,128,100, 12,120, 82)
1515        ( 15, 27,132,131, 80,118, 43,117)( 17, 92, 29, 97,148,101,168, 91)
1516        ( 21, 96, 69, 52,112,164,108, 31,169, 41, 45, 84,158,173,115, 79)
1517        ( 24,123, 99, 53,138, 94,116,137)( 34,104, 60,140,147, 81,176, 65, 63,
1518         57, 83, 40,157,152, 62,102)( 39, 58, 50, 88,130, 98,107,156) ] ],
1519[ 3, 443520, 1, "2", [ [ 70, 1 ], [ 105, 1 ] ], 1, "M_22",
1520  [ "Spor", "M(22)", 1 ],
1521  [ (  1,  2)(  3,  5)(  4,  7)(  6, 10)(  8, 13)(  9, 15)( 11, 17)( 12, 18)
1522        ( 14, 21)( 16, 23)( 19, 27)( 20, 29)( 22, 32)( 24, 34)( 25, 36)
1523        ( 28, 40)( 30, 42)( 33, 46)( 35, 49)( 37, 51)( 38, 53)( 39, 54)
1524        ( 41, 57)( 43, 60)( 44, 61)( 45, 62)( 47, 65)( 48, 66)( 52, 71)
1525        ( 55, 74)( 56, 76)( 59, 64)( 63, 83)( 67, 80)( 68, 88)( 69, 90)
1526        ( 70, 92)( 72, 94)( 73, 81)( 75, 97)( 77, 99)( 78,101)( 79, 87)
1527        ( 84,104)( 85,105)( 86,107)( 93,102)( 95,115)( 96,117)( 98,119)
1528        (103,111)(106,124)(108,126)(109,116)(110,129)(112,131)(113,132)
1529        (114,134)(118,135)(120,137)(121,139)(122,141)(123,143)(125,145)
1530        (127,130)(128,146)(133,140)(136,152)(138,149)(142,158)(147,160)
1531        (148,161)(150,163)(151,164)(153,159)(154,162)(156,167)(165,171)
1532        (169,170)(173,174), (  1,  3,  6, 11)(  2,  4,  8, 14)(  5,  9)
1533        (  7, 12, 19, 28)( 10, 16, 24, 35)( 13, 20, 30, 43)( 15, 22, 33, 47)
1534        ( 17, 25, 37, 52)( 18, 26, 38, 23)( 21, 31, 44, 60)( 27, 39, 55, 75)
1535        ( 29, 41, 58, 79)( 32, 45, 63, 84)( 34, 48, 67, 87)( 36, 50, 69, 91)
1536        ( 40, 56, 77,100)( 42, 59, 80, 83)( 46, 64, 85,106)( 49, 68, 89,110)
1537        ( 51, 70)( 53, 72, 95,116)( 54, 73, 96, 99)( 57, 78,102, 66)
1538        ( 61, 81,103,115)( 62, 82)( 65, 86,108,127)( 71, 93,113,133)
1539        ( 74, 90,111,130)( 76, 98,120,138)( 88,109,128,147)( 92,112)( 94,114)
1540        ( 97,118,136,153)(101,121,140,156)(104,122,142,143)(105,123)
1541        (107,125,132,150)(117,134,139,155)(119,124,144,126)(129,148,162,146)
1542        (131,149,141,157)(135,151,165,172)(137,154,166,173)(145,159,168,171)
1543        (152,161,167,174)(158,164)(160,169)(163,170,175,176) ] ],
1544[ 4, 44352000, 1, "2", [ [ 175, 1 ] ], 2, "HS", [ "Spor", "HS", 1 ],
1545  [ (  1,  2)(  3,  5)(  4,  7)(  6, 10)(  8, 13)(  9, 15)( 11, 18)( 12, 20)
1546        ( 14, 23)( 17, 27)( 19, 30)( 21, 32)( 22, 34)( 24, 37)( 25, 38)
1547        ( 26, 40)( 28, 42)( 29, 44)( 33, 49)( 35, 52)( 36, 54)( 41, 60)
1548        ( 43, 62)( 45, 51)( 46, 66)( 47, 68)( 48, 70)( 50, 73)( 53, 75)
1549        ( 55, 78)( 56, 80)( 57, 82)( 59, 85)( 61, 88)( 64, 90)( 67, 93)
1550        ( 69, 91)( 71, 97)( 72, 94)( 74,101)( 76,103)( 77,104)( 79,105)
1551        ( 81,108)( 83,110)( 84,111)( 87,114)( 89,116)( 92, 99)( 95,120)
1552        ( 98,122)(100,124)(102,121)(106,129)(107,130)(109,126)(112,135)
1553        (113,136)(117,132)(118,140)(119,142)(123,144)(125,146)(127,148)
1554        (128,150)(133,137)(138,147)(139,157)(141,159)(143,161)(145,163)
1555        (149,164)(151,156)(152,165)(154,167)(155,168)(160,171)(162,172)
1556        (166,173)(170,174), (  1,  3,  6, 11, 19)(  2,  4,  8, 14, 24)
1557        (  5,  9, 16, 26, 41)(  7, 12, 21, 33, 50)( 10, 17, 28, 43, 63)
1558        ( 13, 22, 35, 53, 76)( 15, 25, 39, 58, 84)( 18, 29, 45, 65, 92)
1559        ( 20, 31, 47, 69, 95)( 23, 36, 55, 79,106)( 27, 40, 59, 86,113)
1560        ( 30, 46, 67, 75, 66)( 32, 48, 71, 98,123)( 34, 51, 49, 72, 99)
1561        ( 37, 56, 81, 42, 61)( 38, 57, 83, 68, 94)( 44, 64, 91,118,141)
1562        ( 52, 74,102,126,147)( 54, 77,101,116,138)( 60, 87,115,104,128)
1563        ( 62, 89, 73,100,125)( 70, 96,121,140,158)( 78, 88, 90,117,139)
1564        ( 80,107, 97, 93,119)( 82,109,132,153,166)( 85,112,124,145,120)
1565        (103,127,149,122,143)(105,114,137,142,160)(108,131,152,161,171)
1566        (110,133,154,150,148)(111,134,155,146,130)(129,151,136,156,135)
1567        (144,162,173,168,176)(157,169,163,164,174)(159,170,165,175,172) ] ],
1568[5, Factorial(176)/2,1,"2",[[175,1]],174, "Alt(176)", ["A",176, 1], "Alt"],
1569[6, Factorial(176),0,"2",[[175, 1]],176, "Sym(176)", ["A",176, 1], "Sym"]];
1570PRIMGRP[177]:=
1571[[1, Factorial(177)/2,1,"2",[[176,1]],175, "Alt(177)", ["A",177, 1], "Alt"],
1572[2, Factorial(177),0,"2",[[176, 1]],177, "Sym(177)", ["A",177, 1], "Sym"]];
1573PRIMGRP[178]:=
1574[[1, Factorial(178)/2,1,"2",[[177,1]],176, "Alt(178)", ["A",178, 1], "Alt"],
1575[2, Factorial(178),0,"2",[[177, 1]],178, "Sym(178)", ["A",178, 1], "Sym"]];
1576PRIMGRP[179]:=
1577[[ 1, 179, 3, "1", [ [ 1, 178 ] ], 1, "C(179)", [ "Z", 179, 1 ], [  ] ],
1578[ 2, 358, 2, "1", [ [ 2, 89 ] ], 1, "D(2*179)", [ "Z", 179, 1 ],
1579  [ [ [ Z(179)^89 ] ] ] ],
1580[ 3, 15931, 2, "1", [ [ 89, 2 ] ], 1, "179:89", [ "Z", 179, 1 ],
1581  [ [ [ Z(179)^2 ] ] ] ],
1582[ 4, 31862, 2, "1", [ [ 178, 1 ] ], 2, "AGL(1, 179)", [ "Z", 179, 1 ],
1583  [ [ [ Z(179) ] ] ] ],
1584[5, Factorial(179)/2,1,"2",[[178,1]],177, "Alt(179)", ["A",179, 1], "Alt"],
1585[6, Factorial(179),0,"2",[[178, 1]],179, "Sym(179)", ["A",179, 1], "Sym"]];
1586PRIMGRP[180]:=
1587[[ 1, 2867580, 1, "2", [ [ 179, 1 ] ], 2, "PSL(2, 179)",
1588  [ "L", [ 2, 179 ], 1 ], "psl" ],
1589[ 2, 5735160, 0, "2", [ [ 179, 1 ] ], 3, "PGL(2, 179)",
1590  [ "L", [ 2, 179 ], 1 ], "pgl" ],
1591[3, Factorial(180)/2,1,"2",[[179,1]],178, "Alt(180)", ["A",180, 1], "Alt"],
1592[4, Factorial(180),0,"2",[[179, 1]],180, "Sym(180)", ["A",180, 1], "Sym"]];
1593PRIMGRP[181]:=
1594[[ 1, 181, 3, "1", [ [ 1, 180 ] ], 1, "C(181)", [ "Z", 181, 1 ], [  ] ],
1595[ 2, 362, 2, "1", [ [ 2, 90 ] ], 1, "D(2*181)", [ "Z", 181, 1 ],
1596  [ [ [ Z(181)^90 ] ] ] ],
1597[ 3, 543, 2, "1", [ [ 3, 60 ] ], 1, "181:3", [ "Z", 181, 1 ],
1598  [ [ [ Z(181)^60 ] ] ] ],
1599[ 4, 724, 2, "1", [ [ 4, 45 ] ], 1, "181:4", [ "Z", 181, 1 ],
1600  [ [ [ Z(181)^45 ] ] ] ],
1601[ 5, 905, 2, "1", [ [ 5, 36 ] ], 1, "181:5", [ "Z", 181, 1 ],
1602  [ [ [ Z(181)^36 ] ] ] ],
1603[ 6, 1086, 2, "1", [ [ 6, 30 ] ], 1, "181:6", [ "Z", 181, 1 ],
1604  [ [ [ Z(181)^30 ] ] ] ],
1605[ 7, 1629, 2, "1", [ [ 9, 20 ] ], 1, "181:9", [ "Z", 181, 1 ],
1606  [ [ [ Z(181)^20 ] ] ] ],
1607[ 8, 1810, 2, "1", [ [ 10, 18 ] ], 1, "181:10", [ "Z", 181, 1 ],
1608  [ [ [ Z(181)^18 ] ] ] ],
1609[ 9, 2172, 2, "1", [ [ 12, 15 ] ], 1, "181:12", [ "Z", 181, 1 ],
1610  [ [ [ Z(181)^15 ] ] ] ],
1611[ 10, 2715, 2, "1", [ [ 15, 12 ] ], 1, "181:15", [ "Z", 181, 1 ],
1612  [ [ [ Z(181)^12 ] ] ] ],
1613[ 11, 3258, 2, "1", [ [ 18, 10 ] ], 1, "181:18", [ "Z", 181, 1 ],
1614  [ [ [ Z(181)^10 ] ] ] ],
1615[ 12, 3620, 2, "1", [ [ 20, 9 ] ], 1, "181:20", [ "Z", 181, 1 ],
1616  [ [ [ Z(181)^9 ] ] ] ],
1617[ 13, 5430, 2, "1", [ [ 30, 6 ] ], 1, "181:30", [ "Z", 181, 1 ],
1618  [ [ [ Z(181)^6 ] ] ] ],
1619[ 14, 6516, 2, "1", [ [ 36, 5 ] ], 1, "181:36", [ "Z", 181, 1 ],
1620  [ [ [ Z(181)^5 ] ] ] ],
1621[ 15, 8145, 2, "1", [ [ 45, 4 ] ], 1, "181:45", [ "Z", 181, 1 ],
1622  [ [ [ Z(181)^4 ] ] ] ],
1623[ 16, 10860, 2, "1", [ [ 60, 3 ] ], 1, "181:60", [ "Z", 181, 1 ],
1624  [ [ [ Z(181)^3 ] ] ] ],
1625[ 17, 16290, 2, "1", [ [ 90, 2 ] ], 1, "181:90", [ "Z", 181, 1 ],
1626  [ [ [ Z(181)^2 ] ] ] ],
1627[ 18, 32580, 2, "1", [ [ 180, 1 ] ], 2, "AGL(1, 181)", [ "Z", 181, 1 ],
1628  [ [ [ Z(181) ] ] ] ],
1629[19, Factorial(181)/2,1,"2",[[180,1]],179, "Alt(181)", ["A",181, 1], "Alt"],
1630[20, Factorial(181),0,"2",[[180, 1]],181, "Sym(181)", ["A",181, 1], "Sym"]];
1631PRIMGRP[182]:=
1632[[ 1, 2964780, 1, "2", [ [ 181, 1 ] ], 2, "PSL(2, 181)",
1633  [ "L", [ 2, 181 ], 1 ], "psl" ],
1634[ 2, 5929560, 0, "2", [ [ 181, 1 ] ], 3, "PGL(2, 181)",
1635  [ "L", [ 2, 181 ], 1 ], "pgl" ],
1636[3, Factorial(182)/2,1,"2",[[181,1]],180, "Alt(182)", ["A",182, 1], "Alt"],
1637[4, Factorial(182),0,"2",[[181, 1]],182, "Sym(182)", ["A",182, 1], "Sym"]];
1638PRIMGRP[183]:=
1639[[ 1, 270178272, 1, "2", [ [ 182, 1 ] ], 2, "PSL(3, 13)",
1640  [ "L", [ 3, 13 ], 1 ],
1641  [ (  4, 58, 25, 67,150, 42)(  5,178, 43, 72,151, 98, 68,104, 26,166, 59, 54)
1642        (  6, 64, 74, 62,180, 16, 69,111, 63, 34, 77,130)(  7,175, 75, 18,116,
1643         93,113,100, 49, 30,117,131)(  8,143,107, 35, 91,121,134,163, 61,168,
1644         156, 39)(  9,144,115, 36, 89,119, 83,161, 21,128,133,182)
1645        ( 10,125,181, 60,146,171, 76,154,170,152,126, 23)( 11,136, 95,105,145,
1646         118,106,141,122,179, 19, 22)( 12, 27, 28, 88,159, 85,153, 44, 14, 15,
1647         174, 65)( 13,108,132, 55, 32,124, 80, 87,129, 99,148, 79)
1648        ( 17,155, 38,140,142,123, 47, 20, 40,173,147,172)( 24, 41, 52,183, 66,
1649         57, 96,102, 70,176,149,164)( 29, 90,120,135,162, 78,109,114,101,158,
1650          31,139)( 33,137, 81, 37, 82,160, 86,127, 45, 94,157, 56)
1651        ( 46, 51, 50,110,167,138, 92,112, 84, 48, 73,169)( 53,165,103, 97, 71,
1652         177), (  1, 70, 55, 68, 67,176,  8, 39,133,170, 28,179, 26, 25, 57,
1653          90, 94, 91,131,129, 81, 10,160, 11,112, 32, 49, 12, 34,120,157,142,
1654         180, 69,178,177, 52,159,100, 60, 98, 97,164,155, 50,163, 75, 79, 18,
1655          21, 36,173,161,114,121,  7, 99,  5,  4,  3,  2)(  6,104,103, 24, 92,
1656         147,169,140, 30,117, 35, 80,171,110,116,127,138,135, 17,132,156,128,
1657         158, 29, 19,107, 62, 38, 78, 87,101,134, 37, 45,105, 43, 42, 96,130,
1658         181,108, 40,123, 16,118,168, 44,166,165, 66,141,182, 48,115, 93, 15,
1659         145, 86,136,175,106)(  9, 47, 88,125, 23, 63, 13,122,172, 46, 31, 61,
1660         73, 59, 58,149,146, 64,124,144, 20,111,153,167,151,150,183, 82,162,
1661          33,126, 84, 56,152, 54, 53,102,113,174,119, 74, 27, 72, 71, 41, 89,
1662          22,137, 77, 51, 85, 65,148, 83,109,154, 95,139, 14, 76,143) ] ],
1663[ 2, 810534816, 0, "2", [ [ 182, 1 ] ], 2, "PGammaL(3, 13)",
1664  [ "L", [ 3, 13 ], 1 ],
1665  [ (  4, 53, 58,165, 25,103, 67, 97,150, 71, 42,177)(  6,135, 19, 45, 15,133,
1666         51,173,125,156,132,113)(  7, 69,158,145, 81, 88, 89,112,140,154, 91,
1667         129)(  8, 32, 49, 74, 78, 11,157, 65,  9,110,172, 60)
1668        ( 10,168,108, 93,130,120,179,127, 14,128, 46, 40)( 12,144,167, 17,146,
1669         143,124, 30, 62,109,136, 56)( 13,116, 77, 90,122, 86, 44, 21,169, 20,
1670         23, 61)( 16,101,105,137, 28, 36, 92, 38, 76, 35, 87,131)
1671        ( 18, 34, 29,141,160,153,161, 73, 47,126,163, 79)( 22, 94,174,182, 50,
1672         147,181, 39, 55,100, 64,162)( 24, 41, 52,183, 66, 57, 96,102, 70,176,
1673         149,164)( 27,115,138,155,171,107, 80,117,180,114, 95, 33)
1674        ( 31,118, 37,159,119, 84,142,170,121, 99,175,111)( 48,123,152,134,148,
1675         75, 63,139,106, 82, 85, 83),
1676      (  1, 70, 55, 68, 67,176,  8, 39,133,170, 28,179, 26, 25, 57, 90, 94,
1677          91,131,129, 81, 10,160, 11,112, 32, 49, 12, 34,120,157,142,180, 69,
1678         178,177, 52,159,100, 60, 98, 97,164,155, 50,163, 75, 79, 18, 21, 36,
1679         173,161,114,121,  7, 99,  5,  4,  3,  2)(  6,104,103, 24, 92,147,169,
1680         140, 30,117, 35, 80,171,110,116,127,138,135, 17,132,156,128,158, 29,
1681          19,107, 62, 38, 78, 87,101,134, 37, 45,105, 43, 42, 96,130,181,108,
1682          40,123, 16,118,168, 44,166,165, 66,141,182, 48,115, 93, 15,145, 86,
1683         136,175,106)(  9, 47, 88,125, 23, 63, 13,122,172, 46, 31, 61, 73, 59,
1684         58,149,146, 64,124,144, 20,111,153,167,151,150,183, 82,162, 33,126,
1685          84, 56,152, 54, 53,102,113,174,119, 74, 27, 72, 71, 41, 89, 22,137,
1686          77, 51, 85, 65,148, 83,109,154, 95,139, 14, 76,143) ] ],
1687[3, Factorial(183)/2,1,"2",[[182,1]],181, "Alt(183)", ["A",183, 1], "Alt"],
1688[4, Factorial(183),0,"2",[[182, 1]],183, "Sym(183)", ["A",183, 1], "Sym"]];
1689PRIMGRP[184]:=
1690[[1, Factorial(184)/2,1,"2",[[183,1]],182, "Alt(184)", ["A",184, 1], "Alt"],
1691[2, Factorial(184),0,"2",[[183, 1]],184, "Sym(184)", ["A",184, 1], "Sym"]];
1692PRIMGRP[185]:=
1693[[1, Factorial(185)/2,1,"2",[[184,1]],183, "Alt(185)", ["A",185, 1], "Alt"],
1694[2, Factorial(185),0,"2",[[184, 1]],185, "Sym(185)", ["A",185, 1], "Sym"]];
1695PRIMGRP[186]:=
1696[[ 1, 744000, 0, "2", [ [ 125, 1 ], [ 50, 1 ], [ 10, 1 ] ], 1, "PSL(3, 5).2",
1697  [ "L", [ 3, 5 ], 1 ],
1698  [ (  1, 25, 19,122, 43, 89)(  2, 42, 75,115,177, 39)(  3,107, 49,137,133,159
1699         )(  4, 70,  7,127,164, 35)(  5,145,125,  9,131, 87)(  6,176,146,157,
1700          67, 45)(  8, 94, 73,178,143,152)( 10,160, 83, 38,134, 23)
1701        ( 11,167,169,181,173, 58)( 12,175, 47, 78,174, 53)( 13, 28, 90,114,
1702          41, 17)( 14,113,124,123, 95, 63)( 15,172, 29,102, 21, 30)
1703        ( 16,109, 96,112, 92, 77)( 18, 76, 46, 65, 81, 51)( 20, 34, 36, 33,
1704          93,141)( 22,170,110, 37, 91, 99)( 24, 71, 69,150,103,182)
1705        ( 26,101,149, 88,151,140)( 27, 52, 68,156,148,117)( 31,111, 54, 80,
1706          86,153)( 32, 79,179)( 40, 74,154, 60,120, 66)( 44, 48,158, 59,166,
1707         106)( 50,155,104, 98,121, 57)( 55,171, 82,118,184,144)
1708        ( 56,185, 97,128,105,116)( 61,180,130, 62,147,161)( 64,132, 85,165,
1709         186,126)( 72,108,135)( 84,163,129,183,136,119)(100,168,139,138,162,
1710         142), (  1,144, 53,166,116,154, 74, 52)(  2, 61)(  3, 28,170, 98, 19,
1711         132, 37, 69)(  4, 58,108, 36,148, 40,182,176)(  5,  7, 32,112, 88,
1712         107, 66,153)(  6, 92,179,111, 12, 16, 78, 76)(  8,147, 99, 94, 63,
1713         146, 10,141)(  9,136,105,186, 23, 89, 50, 85)( 11, 71,158, 70, 42,
1714         135, 56,128)( 13,117)( 14,180, 17,183,139, 62, 80,173)
1715        ( 15,169, 95,165, 67,167, 34, 51)( 18, 91, 29, 27, 39, 48, 47,133)
1716        ( 20, 60)( 21,150)( 22,143,121, 96,145,113,156, 64)( 24, 38)
1717        ( 25,100, 35, 59,126, 33, 49, 87)( 26,171,155,102,109, 46,103,172)
1718        ( 30,177,123,131,161, 79, 73, 41)( 31,120,175,174, 68,119, 75,130)
1719        ( 43,114, 82, 90,164,129,163,168)( 44,184,138, 84,104,118,125, 77)
1720        ( 45,185, 55,106, 93,159,115,160)( 54,122,181,152,127,149, 81,162)
1721        ( 57, 97)( 65,134,142, 86,151, 83,140,137)( 72,124)(101,157)(110,178)
1722     ] ],
1723[2, Factorial(186)/2,1,"2",[[185,1]],184, "Alt(186)", ["A",186, 1], "Alt"],
1724[3, Factorial(186),0,"2",[[185, 1]],186, "Sym(186)", ["A",186, 1], "Sym"]];
1725PRIMGRP[187]:=
1726[[1, Factorial(187)/2,1,"2",[[186,1]],185, "Alt(187)", ["A",187, 1], "Alt"],
1727[2, Factorial(187),0,"2",[[186, 1]],187, "Sym(187)", ["A",187, 1], "Sym"]];
1728PRIMGRP[188]:=
1729[[1, Factorial(188)/2,1,"2",[[187,1]],186, "Alt(188)", ["A",188, 1], "Alt"],
1730[2, Factorial(188),0,"2",[[187, 1]],188, "Sym(188)", ["A",188, 1], "Sym"]];
1731PRIMGRP[189]:=
1732[[1, Factorial(189)/2,1,"2",[[188,1]],187, "Alt(189)", ["A",189, 1], "Alt"],
1733[2, Factorial(189),0,"2",[[188, 1]],189, "Sym(189)", ["A",189, 1], "Sym"]];
1734PRIMGRP[190]:=
1735[[ 1, 3420, 1, "2", [ [ 18, 6 ], [ 9, 9 ] ], 1, "PSL(2, 19)",
1736  [ "L", [ 2, 19 ], 1 ],
1737  [ (  1, 61)(  2, 20)(  3, 91)(  4, 58)(  5, 96)(  6,140)(  7, 33)(  8, 74)
1738        (  9, 36)( 10, 64)( 11, 89)( 12, 55)( 13,122)( 14,139)( 15,112)
1739        ( 16,178)( 17, 83)( 18, 82)( 19,131)( 21,159)( 22,110)( 23,113)
1740        ( 24, 35)( 25, 84)( 26,134)( 27,172)( 28,171)( 29, 49)( 30,109)
1741        ( 31,108)( 32, 76)( 34, 50)( 37,153)( 39, 62)( 40, 41)( 42,136)
1742        ( 43, 71)( 44,135)( 45, 67)( 46,115)( 47, 66)( 48, 65)( 51, 86)
1743        ( 52,104)( 53,147)( 54,100)( 56,182)( 57,181)( 59, 69)( 60, 99)
1744        ( 63,187)( 68,145)( 70,190)( 73,111)( 77, 97)( 78,117)( 79,126)
1745        ( 81, 98)( 85,168)( 87,161)( 90,189)( 92,174)( 93,114)( 94,105)
1746        ( 95,173)(101,142)(102,176)(103,166)(106,144)(107,121)(116,183)
1747        (119,158)(120,184)(123,170)(125,146)(127,165)(128,156)(129,148)
1748        (130,154)(133,155)(137,164)(138,162)(141,179)(143,167)(149,177)
1749        (151,169)(152,185)(157,175)(160,163)(180,186),
1750      (  1,157, 81,120,147,113, 58,  7,116, 28, 25, 82,124, 95, 22,188,111,
1751         158, 16)(  2, 39, 42,146,162, 78, 70,182,145, 33,106,127, 59,174, 85,
1752         166,175, 86, 40)(  3,144,136,133,105,181, 98,  8, 44, 11, 93,  4,104,
1753         55, 30,138,103, 91,  9)(  5, 84, 14,108,121, 48,112, 29, 77,119, 27,
1754         173,129, 63, 99,154,123,148,110)(  6, 71, 19, 32,160, 62,151,180,132,
1755         65, 88, 46,169,117, 34, 13,177,101,153)( 10, 80, 75, 21, 79, 97, 57,
1756         137, 24,122, 60,125,130, 76, 45,128, 52,139,143)( 12, 96, 53,172, 94,
1757         159, 20,167, 26,114,149, 83, 47,131, 74, 54,126,190, 64)
1758        ( 15, 23, 90,189,184,107,168,156, 72, 43, 69,102, 36,152, 92,142,150,
1759         164,165)( 17,171,135, 56, 61,115, 49, 31,186,183, 41, 89,178, 66, 87,
1760         50, 38,163,179)( 18,185,141,118,161,176, 73, 37,170,134, 35, 51,155,
1761         109, 68, 67,100,187,140) ] ],
1762[ 2, 6840, 0, "2", [ [ 36, 1 ], [ 18, 8 ], [ 9, 1 ] ], 1, "PGL(2, 19)",
1763  [ "L", [ 2, 19 ], 1 ],
1764  [ (  1, 78)(  2,  7)(  3, 15)(  5,165)(  6,173)(  8, 25)(  9,167)( 10,162)
1765        ( 11,111)( 12,129)( 13, 48)( 14, 85)( 16, 64)( 17,144)( 18,132)
1766        ( 19,121)( 20, 71)( 21, 63)( 22,128)( 23, 73)( 24,168)( 26,117)
1767        ( 27, 31)( 28,114)( 29,106)( 30, 34)( 32,136)( 33, 43)( 35,139)
1768        ( 36,130)( 37,182)( 38, 40)( 39, 75)( 42,137)( 44, 80)( 45,146)
1769        ( 46,156)( 47,175)( 49, 83)( 50, 70)( 51,159)( 52, 97)( 53, 96)
1770        ( 54, 91)( 55,142)( 56, 69)( 57,124)( 58,118)( 59,153)( 60, 88)
1771        ( 61,134)( 65,176)( 66,179)( 67,186)( 68, 79)( 72,133)( 74,160)
1772        ( 76,164)( 77, 87)( 81,171)( 84,163)( 86,187)( 89,113)( 90, 95)
1773        ( 92,166)( 93, 98)( 94,116)(100,112)(101,148)(102,122)(103,184)
1774        (104,161)(105,185)(107,119)(108,170)(109,190)(110,115)(120,174)
1775        (123,172)(125,180)(126,177)(127,147)(131,158)(138,178)(140,189)
1776        (141,157)(143,154)(145,149)(150,151)(152,183),
1777      (  1,129, 26,142)(  2,113, 43,111)(  3, 49,100,144)(  4, 93,118,171)
1778        (  5, 69,147, 37)(  6,149, 90, 79)(  7, 86, 71, 21)(  8, 32,163,137)
1779        (  9,123,154, 31)( 10,107,178,131)( 11, 97, 23,161)( 12,127,101, 96)
1780        ( 13, 54,176, 15)( 14, 41, 24, 38)( 16, 51,162, 63)( 17, 77, 29,104)
1781        ( 18,151)( 19,175,119,179)( 20, 61, 33,117)( 22, 76, 46, 42)
1782        ( 25, 28,160, 98)( 27,166,170,120)( 30,103, 70,174)( 34,145,190,126)
1783        ( 35,134, 85, 78)( 36,168,143,139)( 39,188)( 40, 58)( 44, 57)
1784        ( 45, 95,180,140)( 47,135,141, 80)( 48,156,102,110)( 50,172,109,108)
1785        ( 52, 94, 87,152)( 53,177,165, 68)( 55,112,148, 91)( 56, 83,153,106)
1786        ( 59, 64,182,138)( 60,133)( 62,116, 75,185)( 65,105,122,183)
1787        ( 66,184,157, 92)( 67,164,125,136)( 72,121,155,158)( 73, 74, 89, 84)
1788        ( 81,189,114,173)( 82,181,132,124)( 88,186, 99,146)(115,159,128,187)
1789        (130,150,167,169) ] ],
1790[ 3, 1216451004088320000, 1, "2", [ [ 36, 1 ], [ 153, 1 ] ], 1, "Alt(20)",
1791  [ "A", 20, 1 ],
1792  [ (  1, 22,121, 19,167,  5,124,178, 95, 92, 59,136,141,115, 63,169, 72, 17)
1793        (  2,159, 81, 13,110, 41,101, 14, 85,180,175,179, 66, 94, 80, 82, 68,
1794          69)(  3,102, 47,128,144, 32,112, 97, 37)(  4,177, 38, 29,111, 34,
1795         145,160, 31,164,146, 98,174, 73, 26,182,152, 60)(  6,186, 16,139,105,
1796         71, 91,119, 75,165,137,168, 87,131, 48,123, 33, 53)(  7, 57,170, 76,
1797         188, 50, 88,162,183, 86, 18,166, 28,156, 10, 67, 11,135)
1798        (  8, 83,127, 39,122, 77,142, 24,126, 55,189, 12,117,134, 46,147,130,
1799         157)(  9,190, 79,171,113, 62,103, 84, 44,143,104, 52, 35,133, 21, 49,
1800         30, 45)( 15, 93, 40,107, 20, 96, 25,118, 70,151,184,140,150, 74, 54,
1801         114,108, 58)( 23,155,138,100,187, 51,109,132,185,106,149, 90,176,163,
1802         78, 99,173,181)( 27, 42, 56, 64, 36, 61, 89,153,172,161, 65,116,158,
1803         125, 43,120,154,148),
1804      (  1, 97, 37,  8, 93, 41,101, 10, 85,178, 76,164,189, 20, 66, 94, 80,
1805          82, 17)(  2,104, 60,  4,177, 45, 16,118, 89,172,129,171,113, 54,103,
1806         149, 90,125, 69)(  3,102, 28,145,160, 31,179,107,  6,146, 88,174, 73,
1807         32,112, 13,110,119, 58)(  5,135, 11,124,170, 95, 92, 39,122, 87,131,
1808         141,115, 48,123, 22,121, 14, 67)(  7, 57,180,175,188,128,144, 59,136,
1809         35,133, 77,142, 24,126, 34,156, 19,167)(  9,190, 70,161, 74, 71, 91,
1810          18,155, 84, 44,143,169, 56,163, 78, 99,185, 96)( 12, 50,109,132,183,
1811         117,134, 46,147, 23,166,130,157, 15, 83,138,100,187, 53)
1812        ( 21, 81, 33, 38, 47, 86, 55,181, 40,106,127, 26,168, 27, 72, 68, 52,
1813          63,148)( 25,139,105, 62,114, 29,111,108, 75,165,137,176, 49, 30, 51,
1814         98,162,173,186)( 36, 61, 79,140,151,153,184,150, 65,116,158,182, 42,
1815         152, 43,120,154,159, 64) ] ],
1816[ 4, 2432902008176640000, 0, "2", [ [ 36, 1 ], [ 153, 1 ] ], 1, "Sym(20)",
1817  [ "A", 20, 1 ],
1818  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
1819          91,101)(  4,  6,  8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74,
1820         83, 92,102,112,111)(  9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67,
1821          75, 84, 93,103,113,123,122,132)( 16, 20, 24, 29, 34, 40, 46, 53, 60,
1822         68, 76, 85, 94,104,114,124,134,133,143,153)( 25, 30, 35, 41, 47, 54,
1823          61, 69, 77, 86, 95,105,115,125,135,145,144,154,164,172)
1824        ( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,126,136,146,156,155,165,
1825         173,179,184)( 49, 56, 63, 71, 79, 88, 97,107,117,127,137,147,157,163,
1826         166,174,180,185,188,190)( 64, 72, 80, 89, 98,108,118,128,138,148,158,
1827         167,142,152,162,171,178,183,187,189)( 81, 90, 99,109,119,129,139,149,
1828         159,168,175,121,131,141,151,161,170,177,182,186)(100,110,120,130,140,
1829         150,160,169,176,181), (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)
1830        ( 42, 49)( 56, 64)( 72, 81)( 90,100)(101,111)(110,121)(112,122)
1831        (123,133)(131,142)(134,144)(145,155)(152,163)(156,166) ] ],
1832[5, Factorial(190)/2,1,"2",[[189,1]],188, "Alt(190)", ["A",190, 1], "Alt"],
1833[6, Factorial(190),0,"2",[[189, 1]],190, "Sym(190)", ["A",190, 1], "Sym"]];
1834PRIMGRP[191]:=
1835[[ 1, 191, 3, "1", [ [ 1, 190 ] ], 1, "C(191)", [ "Z", 191, 1 ], [  ] ],
1836[ 2, 382, 2, "1", [ [ 2, 95 ] ], 1, "D(2*191)", [ "Z", 191, 1 ],
1837  [ [ [ Z(191)^95 ] ] ] ],
1838[ 3, 955, 2, "1", [ [ 5, 38 ] ], 1, "191:5", [ "Z", 191, 1 ],
1839  [ [ [ Z(191)^38 ] ] ] ],
1840[ 4, 1910, 2, "1", [ [ 10, 19 ] ], 1, "191:10", [ "Z", 191, 1 ],
1841  [ [ [ Z(191)^19 ] ] ] ],
1842[ 5, 3629, 2, "1", [ [ 19, 10 ] ], 1, "191:19", [ "Z", 191, 1 ],
1843  [ [ [ Z(191)^10 ] ] ] ],
1844[ 6, 7258, 2, "1", [ [ 38, 5 ] ], 1, "191:38", [ "Z", 191, 1 ],
1845  [ [ [ Z(191)^5 ] ] ] ],
1846[ 7, 18145, 2, "1", [ [ 95, 2 ] ], 1, "191:95", [ "Z", 191, 1 ],
1847  [ [ [ Z(191)^2 ] ] ] ],
1848[ 8, 36290, 2, "1", [ [ 190, 1 ] ], 2, "AGL(1, 191)", [ "Z", 191, 1 ],
1849  [ [ [ Z(191) ] ] ] ],
1850[9, Factorial(191)/2,1,"2",[[190,1]],189, "Alt(191)", ["A",191, 1], "Alt"],
1851[10, Factorial(191),0,"2",[[190, 1]],191, "Sym(191)", ["A",191, 1], "Sym"]];
1852PRIMGRP[192]:=
1853[[ 1, 3483840, 1, "2", [ [ 191, 1 ] ], 2, "PSL(2, 191)",
1854  [ "L", [ 2, 191 ], 1 ], "psl" ],
1855[ 2, 6967680, 0, "2", [ [ 191, 1 ] ], 3, "PGL(2, 191)",
1856  [ "L", [ 2, 191 ], 1 ], "pgl" ],
1857[3, Factorial(192)/2,1,"2",[[191,1]],190, "Alt(192)", ["A",192, 1], "Alt"],
1858[4, Factorial(192),0,"2",[[191, 1]],192, "Sym(192)", ["A",192, 1], "Sym"]];
1859PRIMGRP[193]:=
1860[[ 1, 193, 3, "1", [ [ 1, 192 ] ], 1, "C(193)", [ "Z", 193, 1 ], [  ] ],
1861[ 2, 386, 2, "1", [ [ 2, 96 ] ], 1, "D(2*193)", [ "Z", 193, 1 ],
1862  [ [ [ Z(193)^96 ] ] ] ],
1863[ 3, 579, 2, "1", [ [ 3, 64 ] ], 1, "193:3", [ "Z", 193, 1 ],
1864  [ [ [ Z(193)^64 ] ] ] ],
1865[ 4, 772, 2, "1", [ [ 4, 48 ] ], 1, "193:4", [ "Z", 193, 1 ],
1866  [ [ [ Z(193)^48 ] ] ] ],
1867[ 5, 1158, 2, "1", [ [ 6, 32 ] ], 1, "193:6", [ "Z", 193, 1 ],
1868  [ [ [ Z(193)^32 ] ] ] ],
1869[ 6, 1544, 2, "1", [ [ 8, 24 ] ], 1, "193:8", [ "Z", 193, 1 ],
1870  [ [ [ Z(193)^24 ] ] ] ],
1871[ 7, 2316, 2, "1", [ [ 12, 16 ] ], 1, "193:12", [ "Z", 193, 1 ],
1872  [ [ [ Z(193)^16 ] ] ] ],
1873[ 8, 3088, 2, "1", [ [ 16, 12 ] ], 1, "193:16", [ "Z", 193, 1 ],
1874  [ [ [ Z(193)^12 ] ] ] ],
1875[ 9, 4632, 2, "1", [ [ 24, 8 ] ], 1, "193:24", [ "Z", 193, 1 ],
1876  [ [ [ Z(193)^8 ] ] ] ],
1877[ 10, 6176, 2, "1", [ [ 32, 6 ] ], 1, "193:32", [ "Z", 193, 1 ],
1878  [ [ [ Z(193)^6 ] ] ] ],
1879[ 11, 9264, 2, "1", [ [ 48, 4 ] ], 1, "193:48", [ "Z", 193, 1 ],
1880  [ [ [ Z(193)^4 ] ] ] ],
1881[ 12, 12352, 2, "1", [ [ 64, 3 ] ], 1, "193:64", [ "Z", 193, 1 ],
1882  [ [ [ Z(193)^3 ] ] ] ],
1883[ 13, 18528, 2, "1", [ [ 96, 2 ] ], 1, "193:96", [ "Z", 193, 1 ],
1884  [ [ [ Z(193)^2 ] ] ] ],
1885[ 14, 37056, 2, "1", [ [ 192, 1 ] ], 2, "AGL(1, 193)", [ "Z", 193, 1 ],
1886  [ [ [ Z(193) ] ] ] ],
1887[15, Factorial(193)/2,1,"2",[[192,1]],191, "Alt(193)", ["A",193, 1], "Alt"],
1888[16, Factorial(193),0,"2",[[192, 1]],193, "Sym(193)", ["A",193, 1], "Sym"]];
1889PRIMGRP[194]:=
1890[[ 1, 3594432, 1, "2", [ [ 193, 1 ] ], 2, "PSL(2, 193)",
1891  [ "L", [ 2, 193 ], 1 ], "psl" ],
1892[ 2, 7188864, 0, "2", [ [ 193, 1 ] ], 3, "PGL(2, 193)",
1893  [ "L", [ 2, 193 ], 1 ], "pgl" ],
1894[3, Factorial(194)/2,1,"2",[[193,1]],192, "Alt(194)", ["A",194, 1], "Alt"],
1895[4, Factorial(194),0,"2",[[193, 1]],194, "Sym(194)", ["A",194, 1], "Sym"]];
1896PRIMGRP[195]:=
1897[[1, Factorial(195)/2,1,"2",[[194,1]],193, "Alt(195)", ["A",195, 1], "Alt"],
1898[2, Factorial(195),0,"2",[[194, 1]],195, "Sym(195)", ["A",195, 1], "Sym"]];
1899PRIMGRP[196]:=
1900[[ 1, 3800027228275998720000, 0, "4c", [ [ 26, 1 ], [ 169, 1 ] ], 1,
1901  "Alt(14) wreath Sym(2)", [ "A", 14, 2 ],
1902  [ (  1,172,188,162, 65, 26, 99,179,146,161,  9, 18,183,176, 62,166,107, 25,
1903         141,175,  6,158,191, 22, 57,180,104,165,149, 21)(  2, 88,187, 78, 58,
1904         96,103, 81,142, 91,  5, 74,184, 92, 61, 82,100, 95,145, 77)
1905        (  3, 32,192, 50, 59, 40,108, 53,143, 35, 10, 46,185, 36, 66, 54,101,
1906          39,150, 49)(  4,186,190, 64, 68,110,109,151,147,  7)
1907        (  8, 60,194,106, 67,152,105, 11,144,189)( 12,102,193,148, 63)
1908        ( 13,130,195,134, 69,138,111,137,153,133)( 14,116,196,120, 70,124,112,
1909         123,154,119)( 15,169,174,160,163, 23)( 16, 85,173, 76,156, 93, 19,
1910          71,170, 90,159, 79)( 17, 29,178, 48,157, 37, 24, 43,171, 34,164, 51)
1911        ( 20,155,177)( 27,127,181,132,167,135)( 28,113,182,118,168,121)
1912        ( 30, 94, 47, 73)( 31, 38, 52, 45)( 33, 80, 44, 87)( 41,136, 55,129)
1913        ( 42,122, 56,115)( 72, 86, 89, 75)( 83,128, 97,131)( 84,114, 98,117)
1914        (125,140), (  1,106,174, 98, 32, 81,141, 22,118, 56,158, 11, 99,176,
1915          90, 42, 74,151, 15,120, 48,168,  4,109,169, 92, 34, 84,144, 25,113,
1916          50,160, 14,102,179, 85, 36, 76,154, 18,123, 43,162,  6,112,172, 95,
1917          29, 78,146, 28,116, 53,155,  8,104,182, 88, 39, 71,148, 20,126, 46,
1918         165)(  2,103,181, 93, 31, 82,150, 21,114, 47,167,  9,101,180, 94, 35,
1919         72,145, 27,121, 45,166, 10,105,170, 89, 41, 79,143, 26,122, 49,156,
1920           5,111,177, 87, 40, 80,147, 16,117, 55,163,  3,110,178, 91, 30, 75,
1921         153, 23,115, 54,164,  7,100,173, 97, 37, 73,152, 24,119, 44,159, 13,
1922         107,171, 96, 38, 77,142, 19,125, 51,157, 12,108,175, 86, 33, 83,149,
1923          17,124, 52,161)( 57,190,132, 70,186,137)( 58,187,139, 65,185,138,
1924          66,189,128, 61,195,135, 59,194,136, 63,184,131, 69,191,129, 68,192,
1925         133)( 60,193,127, 64,188,140)( 62,196,130, 67,183,134) ] ],
1926[ 2, 7600054456551997440000, 0, "4c", [ [ 26, 1 ], [ 169, 1 ] ], 1,
1927  "Alt(14)^2.2^2", [ "A", 14, 2 ],
1928  [ (  1,167,169,168,127,164, 71,162, 99,158, 43,157, 57,163, 29,159,113,156)
1929        (  2, 13,181,182,140,136, 80, 78,106,102, 46, 45, 59, 65, 37, 33,117,
1930         114)(  3, 69,177, 42,131,122, 72,  8,111,172, 56,129, 66, 79, 36,103,
1931         116, 44)(  4, 55,171, 70,135, 38, 75,120,100)(  5,125,170, 14,139,
1932         178, 84,134,108, 74, 50,101, 60, 51, 31, 61,121, 30)(  6, 97,174, 98,
1933         132, 94, 76, 92,104, 88, 48, 87, 62, 93, 34, 89,118, 86)
1934        (  7, 27,180,154,137,192, 77, 22,110,144, 53,185, 63, 23, 40,145,123,
1935         184)(  9, 41,173,126,128, 10, 83,176,112,130, 52, 73, 64,107, 32, 47,
1936         115, 58)( 11,195,175, 28,138,150, 81,190,105, 18, 54,143, 67,191, 35,
1937         19,124,142)( 12,153,179,196,133, 24, 82,148,109,186, 49, 17, 68,149,
1938          39,187,119, 16)( 15,166,141,165,183,161)( 20, 96,146, 95,188, 91)
1939        ( 21, 26,152,151,193,189)( 25,194,147)( 85,160),
1940      (  1,138, 75, 63,101, 50, 34,144,  9,128, 71, 68,103, 49, 31,148,  6,
1941         130, 79, 58, 99, 54, 33,147,  3,134, 76, 60,107, 44, 29,152,  5,133,
1942          73, 64,104, 46, 37,142)(  2,127, 82, 61,105, 45, 36,146,  4,135, 72,
1943         57,110, 47, 35,143,  8,132, 74, 65,100, 43, 40,145,  7,129, 78, 62,
1944         102, 51, 30,141, 12,131, 77, 59,106, 48, 32,149)( 10,137, 84, 66,109,
1945         56, 38,151, 14,136, 81, 70,108, 53, 42,150, 11,140, 80, 67,112, 52,
1946          39,154)( 13,139, 83, 69,111, 55, 41,153)( 15,124,173, 21,115,176,
1947          20,116,177, 16,113,180, 19,119,171, 22,118,172, 23,114,169, 26,117,
1948         175, 17,120,174, 18,121,170)( 24,123,182)( 25,126,178)( 27,125,181)
1949        ( 28,122,179)( 85,166,187, 91,157,190, 90,158,191, 86,155,194, 89,161,
1950         185, 92,160,186, 93,156,183, 96,159,189, 87,162,188, 88,163,184)
1951        ( 94,165,196)( 95,168,192)( 97,167,195)( 98,164,193) ] ],
1952[ 3, 7600054456551997440000, 0, "4c", [ [ 26, 1 ], [ 169, 1 ] ], 1,
1953  "Alt(14)^2.4", [ "A", 14, 2 ],
1954  [ (  1,174,134, 13,177,137, 12,170,131)(  2,173,127,  6,176,139,  9,179,138)
1955        (  3,182,136)(  4,175,130,  7,172,133)(  5,169,132,  8,181,135, 11,
1956         180,128)( 10,171,140)( 14,178,129)( 15, 76, 50, 97,149,193,166,114,
1957          19, 71, 48, 92,153,191,165,124, 16, 75, 43, 90,148,195,163,123, 26,
1958          72, 47, 85,146,190,167,121, 25, 82, 44, 89,141,188,162,125, 23, 81,
1959          54, 86,145,183,160,120, 27, 79, 53, 96,142,187,155,118, 22, 83, 51,
1960          95,152,184,159,113, 20, 78, 55, 93,151,194,156,117)( 17, 84, 52, 87,
1961         154,192,157,126, 24, 73, 56, 94,143,196,164,115, 28, 80, 45, 98,150,
1962         185,168,122)( 18, 77, 46, 91,144,189,158,119)( 21, 74, 49, 88,147,
1963         186,161,116)( 29,104, 64, 41,107, 67, 40,100, 61)( 30,103, 57, 34,
1964         106, 69, 37,109, 68)( 31,112, 66)( 32,105, 60, 35,102, 63)
1965        ( 33, 99, 62, 36,111, 65, 39,110, 58)( 38,101, 70)( 42,108, 59),
1966      (  1, 87,152, 28,131, 44, 64,158,189, 83,121)(  2, 59,144,196,139,114,
1967          57, 88,194, 27,117, 43, 92,166, 21, 75, 51,  8,157,147, 84,135)
1968        (  3,143,154,140,128, 58, 60,186,195,125,113, 85, 96, 26, 19, 47, 50,
1969         162,161, 77, 79,  9)(  4,185,153,126,127, 86, 68, 18,187, 55,120,155,
1970         91, 82, 23,  5, 45,148,168,133, 72, 65)(  6,101,146,112,132,100, 62,
1971         102,188,111,118, 99, 90,110, 20,103, 48,106,160,105, 76,107)
1972        (  7, 73,149, 14,129,142, 70,130,184, 69,116,183, 97,124, 15, 89, 54,
1973          22,159, 49, 78,163)( 10, 31,151,182,136, 30, 67,172,192, 41,123,169,
1974         94, 40, 25,173, 52, 36,165,175, 80, 37, 11,171,150, 42,137,170, 66,
1975          32,193,181,122, 29, 95,180, 24, 33, 53,176,164, 35, 81,177)
1976        ( 12, 17,145, 56,134,156, 63, 74,191, 13,115,141, 98,138, 16, 61, 46,
1977         190,167,119, 71, 93)( 34,109,174,108)( 38, 39,179,178) ] ],
1978[ 4, 15200108913103994880000, 0, "4c", [ [ 26, 1 ], [ 169, 1 ] ], 1,
1979  "Sym(14) wreath Sym(2)", [ "A", 14, 2 ],
1980  [ (  1, 20,115, 49, 64,144, 83, 94,140,191,100, 33, 11,174,113, 21, 59, 46,
1981          78,150,139, 93,112,187,  2, 34,123,175, 57, 18, 73, 52,134,149,111,
1982          89, 14,188,114, 35, 67,172, 71, 24,129, 51,106,145, 13, 90,126,189,
1983          58, 32, 81,178,127, 23,101, 47,  8,146,125, 91, 70,186, 72, 38,137,
1984         177, 99, 19,  3, 48,120,147, 69, 88, 84,192,128, 37,109,173)
1985        (  4, 76,122,133, 65,102, 75, 10,132,121,105, 61)(  5,  6,118,119, 63,
1986         60, 74, 80,136,135,107,103)(  7, 62,116, 77, 66,130, 79,108,131,  9,
1987         104,117)( 12,160,124,161, 68,158, 82,164,138,163,110,159)
1988        ( 15, 17, 45, 50,148,153, 97, 98,196,184, 30, 39,179,169)
1989        ( 16, 31, 53,176,141, 27, 87, 56,190,142, 41, 95,182,183)
1990        ( 22,143, 55, 92,154,195, 86, 42,193,170, 29, 25,171, 43)
1991        ( 26,157, 54,162,152,167, 96,168,194,156, 40,165,180,155)
1992        ( 28,185, 44, 36,151,181, 85),
1993      (  1,124,148,  7,113,152,  8,119,141, 12,120,147)(  2,125,143, 14,122,
1994         146,  5,123,149,  4,114,153,  3,126,150,  6,117,151,  9,116,142, 13,
1995         115,154, 10,118,145, 11,121,144)( 15,110,134,161, 43,180, 78,189, 29,
1996         26,106,133,155, 54,176, 77,183, 40, 22,105,127,166, 50,175, 71,194,
1997          36, 21, 99,138,162, 49,169, 82,190, 35)( 16,111,129,168, 52,174, 75,
1998         193, 37, 18,100,139,157, 56,178, 76,187, 39, 23,102,128,167, 45,182,
1999          80,188, 33, 25,107,130,156, 55,171, 84,192, 34, 19,109,135,158, 44,
2000         181, 73,196, 38, 20,103,137,163, 46,170, 83,185, 42, 24,104,131,165,
2001          51,172, 72,195, 31, 28,108,132,159, 53,177, 74,184, 41, 17,112,136,
2002         160, 47,179, 79,186, 30, 27,101,140,164, 48,173, 81,191, 32)
2003        ( 57, 96, 64, 91)( 58, 97, 59, 98, 66, 90, 61, 95, 65, 88)
2004        ( 60, 86, 69, 87, 70, 94, 62, 89, 67, 93)( 63, 85, 68, 92) ] ],
2005[ 5, 2384928, 0, "4c", [ [ 26, 1 ], [ 169, 1 ] ], 1,
2006  "PSL(2, 13) wreath Sym(2)", [ "L", [ 2, 13 ], 2 ],
2007  [ (  1,  6, 13, 11,  7,  8,  2)(  3,  4, 14, 12,  5, 10,  9)
2008        ( 15, 20, 27, 25, 21, 22, 16)( 17, 18, 28, 26, 19, 24, 23)
2009        ( 29, 34, 41, 39, 35, 36, 30)( 31, 32, 42, 40, 33, 38, 37)
2010        ( 43, 48, 55, 53, 49, 50, 44)( 45, 46, 56, 54, 47, 52, 51)
2011        ( 57, 62, 69, 67, 63, 64, 58)( 59, 60, 70, 68, 61, 66, 65)
2012        ( 71, 76, 83, 81, 77, 78, 72)( 73, 74, 84, 82, 75, 80, 79)
2013        ( 85, 90, 97, 95, 91, 92, 86)( 87, 88, 98, 96, 89, 94, 93)
2014        ( 99,104,111,109,105,106,100)(101,102,112,110,103,108,107)
2015        (113,118,125,123,119,120,114)(115,116,126,124,117,122,121)
2016        (127,132,139,137,133,134,128)(129,130,140,138,131,136,135)
2017        (141,146,153,151,147,148,142)(143,144,154,152,145,150,149)
2018        (155,160,167,165,161,162,156)(157,158,168,166,159,164,163)
2019        (169,174,181,179,175,176,170)(171,172,182,180,173,178,177)
2020        (183,188,195,193,189,190,184)(185,186,196,194,187,192,191),
2021      (  1,112,183,110,113,103, 57,106,169,109, 43,102, 71,100,127,101,155,
2022         107, 29,104,141,108, 85,105, 15,111)(  2,140,185,166,121, 33, 62,148,
2023         178, 95, 49, 18, 83)(  3,168,191, 40,118,145, 66, 92,175, 25, 55,  4,
2024         84,184,138,115,159, 65, 36,174,151, 52, 88, 77, 16,139)
2025        (  5, 70,190,180,123, 47, 60, 78,170,137, 45,158, 79, 30,132,143,164,
2026          93, 35, 20,153, 10, 98,189, 26,125)(  6,154,192, 96,119, 19, 69,  8,
2027         182,193, 54,116, 75, 58,134,171,165, 51, 32, 76,142,136, 87,161, 23,
2028          41)(  7, 28,195, 12,126,187, 68,120,173, 67, 50,172, 81, 44,130, 73,
2029         156,135, 31,160,149, 38, 90,147, 24, 97)(  9, 42,188,152,122, 89, 63,
2030         22,181, 11, 56,186, 82,114,131, 59,162,177, 39, 48,144, 80, 86,133,
2031          17,167)( 13, 14,196,194,124,117, 61, 64,176,179, 53, 46, 74, 72,128,
2032         129,157,163, 37, 34,146,150, 94, 91, 21, 27) ] ],
2033[ 6, 4769856, 0, "4c", [ [ 26, 1 ], [ 169, 1 ] ], 1, "PSL(2, 13)^2.2^2",
2034  [ "L", [ 2, 13 ], 2 ],
2035  [ (  1,129,113,143,169,157, 85, 59, 15,101, 43,185, 71, 31)(  2,139,114,153,
2036         170,167, 86, 69, 16,111, 44,195, 72, 41)(  3,127,115,141,171,155, 87,
2037         57, 17, 99, 45,183, 73, 29)(  4,134,116,148,172,162, 88, 64, 18,106,
2038          46,190, 74, 36)(  5,135,117,149,173,163, 89, 65, 19,107, 47,191, 75,
2039         37)(  6,133,118,147,174,161, 90, 63, 20,105, 48,189, 76, 35)
2040        (  7,132,119,146,175,160, 91, 62, 21,104, 49,188, 77, 34)
2041        (  8,130,120,144,176,158, 92, 60, 22,102, 50,186, 78, 32)
2042        (  9,131,121,145,177,159, 93, 61, 23,103, 51,187, 79, 33)
2043        ( 10,138,122,152,178,166, 94, 68, 24,110, 52,194, 80, 40)
2044        ( 11,140,123,154,179,168, 95, 70, 25,112, 53,196, 81, 42)
2045        ( 12,136,124,150,180,164, 96, 66, 26,108, 54,192, 82, 38)
2046        ( 13,128,125,142,181,156, 97, 58, 27,100, 55,184, 83, 30)
2047        ( 14,137,126,151,182,165, 98, 67, 28,109, 56,193, 84, 39),
2048      (  1, 86,116, 54,195, 35,177,108,140, 17, 76, 61,162,151)
2049        (  2,114,124,194,189,175,178,136,129, 73, 75,159,165, 11)
2050        (  3, 72,117,166,193,  7,170,122,138,185, 77,173,164,137)
2051        (  4, 44,125, 40,191,105,182, 24,132, 59, 78,145,155, 95)
2052        (  5,156,123, 12,184,119,180,192,133,171, 80,131,157, 81)
2053        (  6, 58,120,152,183, 91,172, 52,139, 31, 79,103,168, 25)
2054        (  8,142,113, 96,186, 49,181, 38,135,101, 84, 19,160, 67)
2055        (  9,100,126, 26,188, 63,176,150,127, 87, 74, 47,167, 39)
2056        ( 10,128,115, 82,187,161,179)( 13, 30,121,110,196, 21,174, 66,134,143,
2057         71, 89,158, 53)( 14, 16,118, 68,190,147,169, 94,130, 45, 83, 33,163,
2058         109)( 15, 90, 60, 50,153, 29, 93,102, 56, 27, 34, 65,106,154)
2059        ( 18, 48, 69, 36,149, 99, 98)( 20, 62, 64,148,141, 85, 88, 46, 55, 41,
2060         37,107,112, 28)( 22,146, 57, 92,144, 43, 97, 32, 51,111, 42, 23,104,
2061          70) ] ],
2062[ 7, 4769856, 0, "4c", [ [ 26, 1 ], [ 169, 1 ] ], 1, "PSL(2, 13)^2.4",
2063  [ "L", [ 2, 13 ], 2 ],
2064  [ (  1,155,127, 43,141, 57, 29,183, 15, 85, 71,113, 99,169)(  2,160,138, 46,
2065         148, 67, 38,185, 19, 91, 84,125,100,174, 12,158,134, 53,150, 59, 33,
2066         189, 28, 97, 72,118,110,172,  8,165,136, 45,145, 63, 42,195, 16, 90,
2067          82,116,106,179, 10,157,131, 49,154, 69, 30,188, 26, 88, 78,123,108,
2068         171,  5,161,140, 55,142, 62, 40,186, 22, 95, 80,115,103,175, 14,167,
2069         128, 48,152, 60, 36,193, 24, 87, 75,119,112,181)(  3,159,133, 56,153,
2070         58, 34,194, 18, 92, 81,122,101,173,  7,168,139, 44,146, 68, 32,190,
2071          25, 94, 73,117,105,182, 13,156,132, 54,144, 64, 39,192, 17, 89, 77,
2072         126,111,170,  6,166,130, 50,151, 66, 31,187, 21, 98, 83,114,104,180,
2073           4,162,137, 52,143, 61, 35,196, 27, 86, 76,124,102,176, 11,164,129,
2074          47,147, 70, 41,184, 20, 96, 74,120,109,178)(  9,163,135, 51,149, 65,
2075         37,191, 23, 93, 79,121,107,177), (  1,146, 27,123, 94, 82,107, 61)
2076        (  2,160, 22, 53, 91, 40,102,187)(  3,174, 17,179, 87,180,101,173)
2077        (  4,188, 16,165, 92, 54,105, 33)(  5,  6, 20, 25, 95, 96,110,103)
2078        (  7, 34, 18,193, 86,166,106, 47)(  8, 48, 21, 39, 88,194,100,159)
2079        (  9, 62, 15,151, 97,124,108, 75)( 10, 76, 23, 67, 85,152,111,117)
2080        ( 11, 90, 26,109, 89, 12,104, 19)( 13,118, 24, 81, 93, 68, 99,145)
2081        ( 14,132, 28,137, 98,138,112,131)( 29,144,195,114,164, 78, 51, 63)
2082        ( 30,158,190, 44,161, 36, 46,189)( 31,172,185,170,157,176, 45,175)
2083        ( 32,186,184,156,162, 50, 49, 35)( 37, 60,183,142,167,120, 52, 77)
2084        ( 38, 74,191, 58,155,148, 55,119)( 41,116,192, 72,163, 64, 43,147)
2085        ( 42,130,196,128,168,134, 56,133)( 57,141,153,125,122, 80, 79, 65)
2086        ( 59,169,143,181,115,178, 73,177)( 66, 71,149, 69,113,150, 83,121)
2087        ( 70,127,154,139,126,136, 84,135)(129,182) ] ],
2088[ 8, 9539712, 0, "4c", [ [ 26, 1 ], [ 169, 1 ] ], 1,
2089  "PGL(2, 13) wreath Sym(2)", [ "L", [ 2, 13 ], 2 ],
2090  [ (  1,108, 55,158,182, 64,187, 82, 91,  6,150, 51,116,179, 36,184, 26, 87,
2091         132,141,107,125,165, 42, 58, 19, 73,133)(  2, 24, 45,130,169,106,195,
2092         166, 98, 62,145, 79,119, 11, 38, 44, 18,171,134,183,110, 97,160,154,
2093          65,117, 81, 35)(  3,136, 43,102,181,162,196, 68, 89, 76,147,  9,122,
2094         53, 32,170, 22,185,138, 85,104,153,163,126, 67, 33, 72, 21)
2095        (  4,178, 50,186,180, 92,188,152, 93,118,151, 37,114, 25, 31,128, 15,
2096         101,139,155,112, 69,159, 84, 63,  5, 80, 49)(  7, 10, 52, 46,172,176,
2097         190,194, 96, 90,146,149,121,123, 39, 30, 16, 17,129,127, 99,111,167,
2098         168, 70, 61, 75, 77)(  8,192, 54, 88,174,148,191,124, 95, 34,142, 23,
2099         115,137, 29,100, 27,157,140, 57,103, 83,161, 14, 66, 47, 74,175)
2100        ( 12, 94, 48,144,177,120,193, 40, 86, 20,143,135,113,109, 41,156, 28,
2101          59,131, 71,105, 13,164, 56, 60,173, 78,189),
2102      (  1, 81, 85, 39,155, 67, 15,109,183,151, 43,179,113,137)
2103        (  2, 72, 86, 30,156, 58, 16,100,184,142, 44,170,114,128)
2104        (  3, 82, 87, 40,157, 68, 17,110,185,152, 45,180,115,138)
2105        (  4, 79, 88, 37,158, 65, 18,107,186,149, 46,177,116,135)
2106        (  5, 75, 89, 33,159, 61, 19,103,187,145, 47,173,117,131)
2107        (  6, 80, 90, 38,160, 66, 20,108,188,150, 48,178,118,136)
2108        (  7, 83, 91, 41,161, 69, 21,111,189,153, 49,181,119,139)
2109        (  8, 84, 92, 42,162, 70, 22,112,190,154, 50,182,120,140)
2110        (  9, 74, 93, 32,163, 60, 23,102,191,144, 51,172,121,130)
2111        ( 10, 76, 94, 34,164, 62, 24,104,192,146, 52,174,122,132)
2112        ( 11, 71, 95, 29,165, 57, 25, 99,193,141, 53,169,123,127)
2113        ( 12, 73, 96, 31,166, 59, 26,101,194,143, 54,171,124,129)
2114        ( 13, 77, 97, 35,167, 63, 27,105,195,147, 55,175,125,133)
2115        ( 14, 78, 98, 36,168, 64, 28,106,196,148, 56,176,126,134) ] ],
2116[9, Factorial(196)/2,1,"2",[[195,1]],194, "Alt(196)", ["A",196, 1], "Alt"],
2117[10, Factorial(196),0,"2",[[195, 1]],196, "Sym(196)", ["A",196, 1], "Sym"]];
2118PRIMGRP[197]:=
2119[[ 1, 197, 3, "1", [ [ 1, 196 ] ], 1, "C(197)", [ "Z", 197, 1 ], [  ] ],
2120[ 2, 394, 2, "1", [ [ 2, 98 ] ], 1, "D(2*197)", [ "Z", 197, 1 ],
2121  [ [ [ Z(197)^98 ] ] ] ],
2122[ 3, 788, 2, "1", [ [ 4, 49 ] ], 1, "197:4", [ "Z", 197, 1 ],
2123  [ [ [ Z(197)^49 ] ] ] ],
2124[ 4, 1379, 2, "1", [ [ 7, 28 ] ], 1, "197:7", [ "Z", 197, 1 ],
2125  [ [ [ Z(197)^28 ] ] ] ],
2126[ 5, 2758, 2, "1", [ [ 14, 14 ] ], 1, "197:14", [ "Z", 197, 1 ],
2127  [ [ [ Z(197)^14 ] ] ] ],
2128[ 6, 5516, 2, "1", [ [ 28, 7 ] ], 1, "197:28", [ "Z", 197, 1 ],
2129  [ [ [ Z(197)^7 ] ] ] ],
2130[ 7, 9653, 2, "1", [ [ 49, 4 ] ], 1, "197:49", [ "Z", 197, 1 ],
2131  [ [ [ Z(197)^4 ] ] ] ],
2132[ 8, 19306, 2, "1", [ [ 98, 2 ] ], 1, "197:98", [ "Z", 197, 1 ],
2133  [ [ [ Z(197)^2 ] ] ] ],
2134[ 9, 38612, 2, "1", [ [ 196, 1 ] ], 2, "AGL(1, 197)", [ "Z", 197, 1 ],
2135  [ [ [ Z(197) ] ] ] ],
2136[10, Factorial(197)/2,1,"2",[[196,1]],195, "Alt(197)", ["A",197, 1], "Alt"],
2137[11, Factorial(197),0,"2",[[196, 1]],197, "Sym(197)", ["A",197, 1], "Sym"]];
2138PRIMGRP[198]:=
2139[[ 1, 3822588, 1, "2", [ [ 197, 1 ] ], 2, "PSL(2, 197)",
2140  [ "L", [ 2, 197 ], 1 ], "psl" ],
2141[ 2, 7645176, 0, "2", [ [ 197, 1 ] ], 3, "PGL(2, 197)",
2142  [ "L", [ 2, 197 ], 1 ], "pgl" ],
2143[3, Factorial(198)/2,1,"2",[[197,1]],196, "Alt(198)", ["A",198, 1], "Alt"],
2144[4, Factorial(198),0,"2",[[197, 1]],198, "Sym(198)", ["A",198, 1], "Sym"]];
2145PRIMGRP[199]:=
2146[[ 1, 199, 3, "1", [ [ 1, 198 ] ], 1, "C(199)", [ "Z", 199, 1 ], [  ] ],
2147[ 2, 398, 2, "1", [ [ 2, 99 ] ], 1, "D(2*199)", [ "Z", 199, 1 ],
2148  [ [ [ Z(199)^99 ] ] ] ],
2149[ 3, 597, 2, "1", [ [ 3, 66 ] ], 1, "199:3", [ "Z", 199, 1 ],
2150  [ [ [ Z(199)^66 ] ] ] ],
2151[ 4, 1194, 2, "1", [ [ 6, 33 ] ], 1, "199:6", [ "Z", 199, 1 ],
2152  [ [ [ Z(199)^33 ] ] ] ],
2153[ 5, 1791, 2, "1", [ [ 9, 22 ] ], 1, "199:9", [ "Z", 199, 1 ],
2154  [ [ [ Z(199)^22 ] ] ] ],
2155[ 6, 2189, 2, "1", [ [ 11, 18 ] ], 1, "199:11", [ "Z", 199, 1 ],
2156  [ [ [ Z(199)^18 ] ] ] ],
2157[ 7, 3582, 2, "1", [ [ 18, 11 ] ], 1, "199:18", [ "Z", 199, 1 ],
2158  [ [ [ Z(199)^11 ] ] ] ],
2159[ 8, 4378, 2, "1", [ [ 22, 9 ] ], 1, "199:22", [ "Z", 199, 1 ],
2160  [ [ [ Z(199)^9 ] ] ] ],
2161[ 9, 6567, 2, "1", [ [ 33, 6 ] ], 1, "199:33", [ "Z", 199, 1 ],
2162  [ [ [ Z(199)^6 ] ] ] ],
2163[ 10, 13134, 2, "1", [ [ 66, 3 ] ], 1, "199:66", [ "Z", 199, 1 ],
2164  [ [ [ Z(199)^3 ] ] ] ],
2165[ 11, 19701, 2, "1", [ [ 99, 2 ] ], 1, "199:99", [ "Z", 199, 1 ],
2166  [ [ [ Z(199)^2 ] ] ] ],
2167[ 12, 39402, 2, "1", [ [ 198, 1 ] ], 2, "AGL(1, 199)", [ "Z", 199, 1 ],
2168  [ [ [ Z(199) ] ] ] ],
2169[13, Factorial(199)/2,1,"2",[[198,1]],197, "Alt(199)", ["A",199, 1], "Alt"],
2170[14, Factorial(199),0,"2",[[198, 1]],199, "Sym(199)", ["A",199, 1], "Sym"]];
2171PRIMGRP[200]:=
2172[[ 1, 3940200, 1, "2", [ [ 199, 1 ] ], 2, "PSL(2, 199)",
2173  [ "L", [ 2, 199 ], 1 ], "psl" ],
2174[ 2, 7880400, 0, "2", [ [ 199, 1 ] ], 3, "PGL(2, 199)",
2175  [ "L", [ 2, 199 ], 1 ], "pgl" ],
2176[3, Factorial(200)/2,1,"2",[[199,1]],198, "Alt(200)", ["A",200, 1], "Alt"],
2177[4, Factorial(200),0,"2",[[199, 1]],200, "Sym(200)", ["A",200, 1], "Sym"]];
2178PRIMGRP[201]:=
2179[[1, Factorial(201)/2,1,"2",[[200,1]],199, "Alt(201)", ["A",201, 1], "Alt"],
2180[2, Factorial(201),0,"2",[[200, 1]],201, "Sym(201)", ["A",201, 1], "Sym"]];
2181PRIMGRP[202]:=
2182[[1, Factorial(202)/2,1,"2",[[201,1]],200, "Alt(202)", ["A",202, 1], "Alt"],
2183[2, Factorial(202),0,"2",[[201, 1]],202, "Sym(202)", ["A",202, 1], "Sym"]];
2184PRIMGRP[203]:=
2185[[ 1, 12180, 1, "2", [ [ 12, 1 ], [ 60, 1 ], [ 30, 3 ], [ 20, 2 ] ], 1,
2186  "PSL(2, 29)", [ "L", [ 2, 29 ], 1 ],
2187  [ (  1,  2,  4,  8, 15, 28,  7, 14, 26, 47, 80,123,177,131)(  3,  6, 12, 22,
2188         41, 72,114,168,191, 55, 73,115,169,195)(  5, 10, 19, 35, 62,100,150,
2189         184,188,199, 66,105,134,142)(  9, 17, 32, 57, 93,140, 16, 30, 54, 90,
2190         137,186, 31, 56)( 11, 21, 39, 68,108,161, 20, 37, 65, 76, 29, 52, 87,
2191         133)( 13, 24, 44, 77,120, 42, 74, 60, 98,147, 18, 34, 61, 36)
2192        ( 23, 43, 58, 95,143,180, 63,101,152,192, 96,144,185,116)
2193        ( 25, 46, 33, 59, 97,145,141, 50, 85,130,183,197,146, 88)
2194        ( 27, 49, 83,128,124,148,109,119,174,135,158,111,165,196)
2195        ( 38, 67,107,160,163,166,151,190,203, 91,138,167, 99,149)
2196        ( 40, 70,112,106,159,187,202, 75,118,173,181,200,172,198)
2197        ( 45, 48, 82,126,179, 92,139,176, 94, 69,110,164,157,136)
2198        ( 51, 86,132, 81, 78, 79,121,175,194,102,154,122,117,171)
2199        ( 53, 89,125,178, 71,113, 84,129,182,104,156,153,193,201)
2200        ( 64,103,155,170,127,162,189), (  1,  3,  7)(  2,  5, 11)(  4,  9, 18)
2201        (  6, 13, 25)(  8, 16, 31)( 10, 20, 38)( 12, 23, 34)( 14, 27, 50)
2202        ( 15, 29, 53)( 17, 33, 60)( 19, 36, 64)( 21, 40, 71)( 22, 42, 75)
2203        ( 24, 45, 78)( 26, 48, 72)( 28, 51, 67)( 30, 55, 91)( 32, 58, 96)
2204        ( 35, 63,102)( 37, 66,106)( 39, 69,111)( 41, 73,116)( 43, 76,119)
2205        ( 44, 56, 92)( 46, 79,122)( 47, 81,125)( 49, 84, 54)( 52, 88,135)
2206        ( 57, 94,142)( 59, 87,134)( 61, 99, 83)( 65,104,157)( 68,109,163)
2207        ( 74,117,172)( 77,112,166)( 80,124,175)( 82,127,181)( 85,131, 95)
2208        ( 86, 97,146)( 89,136, 90)( 93,141,118)( 98,148,103)(100,151,147)
2209        (101,153,171)(105,158,194)(108,162,140)(110,120,149)(113,167,197)
2210        (114,121,176)(115,170,161)(123,173,199)(126,180,165)(129,150,191)
2211        (130,184,192)(132,144,160)(133,185,201)(137,187,154)(138,139,188)
2212        (143,189,178)(145,190,182)(152,186,200)(155,177,156)(159,195,174)
2213        (168,198,193)(169,179,183)(196,202,203) ] ],
2214[2, Factorial(203)/2,1,"2",[[202,1]],201, "Alt(203)", ["A",203, 1], "Alt"],
2215[3, Factorial(203),0,"2",[[202, 1]],203, "Sym(203)", ["A",203, 1], "Sym"]];
2216PRIMGRP[204]:=
2217[[1, Factorial(204)/2,1,"2",[[203,1]],202, "Alt(204)", ["A",204, 1], "Alt"],
2218[2, Factorial(204),0,"2",[[203, 1]],204, "Sym(204)", ["A",204, 1], "Sym"]];
2219PRIMGRP[205]:=
2220[[1, Factorial(205)/2,1,"2",[[204,1]],203, "Alt(205)", ["A",205, 1], "Alt"],
2221[2, Factorial(205),0,"2",[[204, 1]],205, "Sym(205)", ["A",205, 1], "Sym"]];
2222PRIMGRP[206]:=
2223[[1, Factorial(206)/2,1,"2",[[205,1]],204, "Alt(206)", ["A",206, 1], "Alt"],
2224[2, Factorial(206),0,"2",[[205, 1]],206, "Sym(206)", ["A",206, 1], "Sym"]];
2225PRIMGRP[207]:=
2226[[1, Factorial(207)/2,1,"2",[[206,1]],205, "Alt(207)", ["A",207, 1], "Alt"],
2227[2, Factorial(207),0,"2",[[206, 1]],207, "Sym(207)", ["A",207, 1], "Sym"]];
2228PRIMGRP[208]:=
2229[[ 1, 62400, 1, "2", [ [ 12, 1 ], [ 60, 2 ], [ 75, 1 ] ], 1, "PSU(3, 4)",
2230  [ "2A", [ 2, 4 ], 1 ],
2231  [ (  2, 90)(  3, 82)(  4,107)(  5, 80)(  6,194)(  7,102)(  8, 34)(  9,153)
2232        ( 10, 45)( 11, 73)( 12, 51)( 13,188)( 14,183)( 15, 33)( 16,152)
2233        ( 17,180)( 18,150)( 19, 31)( 20,128)( 21,172)( 22, 65)( 23,105)
2234        ( 24,190)( 25, 83)( 26,119)( 28,149)( 32,201)( 35,122)( 36,120)
2235        ( 37,113)( 38,138)( 39,118)( 40,116)( 41, 77)( 42,137)( 43,144)
2236        ( 44, 93)( 46,129)( 47, 79)( 48,155)( 49,184)( 50, 85)( 52,142)
2237        ( 53,207)( 55,134)( 56, 94)( 57,192)( 59,205)( 60,185)( 61, 68)
2238        ( 63,139)( 64, 69)( 66, 71)( 67,117)( 70,135)( 72,136)( 74,125)
2239        ( 75,146)( 76,151)( 78,206)( 84,123)( 86,189)( 87,171)( 88,132)
2240        ( 89,111)( 91,173)( 92,191)( 95,195)( 96,177)( 97,121)( 98,127)
2241        ( 99,157)(100,108)(103,181)(104,178)(106,168)(109,124)(110,169)
2242        (112,141)(114,204)(115,197)(126,160)(130,158)(131,165)(133,143)
2243        (145,200)(147,193)(148,174)(161,175)(162,176)(164,208)(166,170)
2244        (167,186)(179,198)(187,199)(196,202),
2245      (  1,125,157,159)(  2,174,  4,111)(  3,144,179,193)(  5,182,205,192)
2246        (  6, 71,128, 76)(  7,120,142,206)(  8, 87, 99, 18)(  9, 53,176,152)
2247        ( 10, 98,101, 83)( 11,130, 81, 96)( 12,171, 91, 67)( 13, 28,190, 82)
2248        ( 14, 49,185,100)( 15, 65,155,103)( 16,112)( 17, 68, 60, 77)
2249        ( 19,140,149,207)( 20,202, 79,163)( 21, 27,150,162)( 22,164,138, 70)
2250        ( 23,195,123, 24)( 25,105,178, 80)( 26,108,139,154)( 29, 50, 78,132)
2251        ( 30, 47, 85,107)( 31, 74,200, 86)( 32, 46, 57, 84)( 33,196, 54,168)
2252        ( 34,189)( 35, 55, 62,161)( 36,136)( 37,186, 95,191)( 38, 51,126,169)
2253        ( 39, 93)( 40,135,151, 43)( 41,109,134,175)( 42,143, 44,133)
2254        ( 45, 75, 72,147)( 48,184)( 52,115,110,180)( 56,194,118, 90)
2255        ( 58, 89,137, 66)( 59,114,129,158)( 61,208,124,146)( 63,177,104, 92)
2256        ( 64,113,172,166)( 69,183,117,165)( 73,204,141,167)( 88,106)
2257        ( 94,188,203,170)( 97,156)(102,187,173,181)(116,131,148,197)
2258        (119,122,127,121)(145,160,198,199)(153,201) ] ],
2259[ 2, 124800, 0, "2", [ [ 12, 1 ], [ 60, 2 ], [ 75, 1 ] ], 1, "PSU(3, 4).2",
2260  [ "2A", [ 2, 4 ], 1 ],
2261  [ (  1,127)(  2,118)(  3,137)(  4,177)(  5,187)(  7,163)(  8,193)(  9, 15)
2262        ( 10, 96)( 11,197)( 12, 94)( 13,111)( 14, 58)( 17,104)( 18,159)
2263        ( 19,141)( 20,142)( 21, 93)( 23,184)( 24, 40)( 25, 31)( 26, 44)
2264        ( 27, 97)( 28, 99)( 29,152)( 30,204)( 32,171)( 33, 36)( 34,165)
2265        ( 35, 53)( 37, 61)( 38, 90)( 39,138)( 41,116)( 42, 43)( 45,107)
2266        ( 46, 91)( 47, 59)( 48,122)( 49,186)( 50,199)( 51,191)( 52,132)
2267        ( 55,151)( 56, 92)( 57,180)( 60, 86)( 62, 78)( 63, 74)( 64,157)
2268        ( 65,101)( 66, 95)( 67,115)( 68,174)( 69,149)( 70,125)( 71,175)
2269        ( 72,129)( 73,117)( 75, 81)( 76,170)( 77,190)( 79,202)( 80, 85)
2270        ( 82,144)( 83,112)( 84,203)( 87,164)( 88,128)( 89,124)(100,169)
2271        (103,130)(105,167)(106,158)(108,126)(109,188)(110,160)(113,148)
2272        (119,172)(120,153)(131,147)(134,166)(135,139)(136,173)(140,176)
2273        (143,156)(154,194)(155,207)(161,195)(168,181)(178,192)(179,185)
2274        (182,200)(189,198)(196,205)(201,208),
2275      (  1,107,128, 92,167,127, 50,181)(  2, 27,161, 46, 18,169,172,174)
2276        (  3,186, 58, 71)(  4,115,207,156, 32,148, 55,145)(  5, 94,  8,173,
2277          42, 53,204,188)(  6,139,112, 96, 39,111,206, 17)(  7,178, 40, 69,
2278         125,120, 85,  9)( 10,168,197,166, 63, 77,129, 62)( 11,141, 22, 67,
2279          38, 24, 36,135)( 12, 99, 91, 60,159, 95,171,101)( 13,119,143,182,
2280          87,194, 76, 83)( 14,175, 43,114,122,198,142, 97)( 15,154, 56, 98,
2281         144, 66,134,201)( 16,110,185,200)( 19, 29, 54,191, 37, 57, 88,158)
2282        ( 20,123, 59,205,116,106,117, 70)( 21,126,147, 75,179, 73, 61, 64)
2283        ( 23,183,133, 78, 49, 93,136,190)( 25,199,170,109)( 26, 81,177, 35,
2284         118, 82,202, 44)( 28, 48,157, 86,195,150,149, 74)( 30, 34,124, 47,
2285         108,121,140,193)( 31, 65, 52,163,208,104, 33,152)( 41,138,184, 90,
2286          84,160,162,155)( 45,113, 68,196, 89,164, 79,180)( 51,192,132,100)
2287        ( 72,130,105,165,151,103,176,137)( 80,102,153,203,131,189,146,187) ]
2288 ],
2289[ 3, 249600, 0, "2", [ [ 12, 1 ], [ 75, 1 ], [ 120, 1 ] ], 1, "PGammaU(3, 4)",
2290  [ "2A", [ 2, 4 ], 1 ],
2291  [ (  1,  2)(  3,  7)(  4, 10)(  6, 15)(  8, 20)(  9, 23)( 11, 28)( 12, 31)
2292        ( 13, 34)( 14, 37)( 16, 42)( 17, 44)( 18, 46)( 19, 48)( 21, 51)
2293        ( 22, 53)( 24, 58)( 25, 61)( 26, 64)( 27, 67)( 29, 72)( 30, 75)
2294        ( 32, 80)( 33, 81)( 35, 84)( 36, 85)( 38, 90)( 39, 92)( 40, 94)
2295        ( 41, 96)( 43, 86)( 45,102)( 47,107)( 49,111)( 50,114)( 52, 68)
2296        ( 54, 99)( 55,120)( 56,121)( 57,123)( 62,130)( 63,131)( 65,128)
2297        ( 66,135)( 69,139)( 70,140)( 73,145)( 74,146)( 76,149)( 78,124)
2298        ( 79, 82)( 83,105)( 87,134)( 88,161)( 89,163)( 91,116)( 93,126)
2299        ( 95,172)( 97,104)( 98,176)(100,162)(101,109)(103,137)(106,151)
2300        (108,118)(110,112)(115,157)(117,185)(119,170)(122,150)(127,191)
2301        (129,192)(132,160)(133,196)(136,198)(142,153)(143,148)(144,181)
2302        (152,189)(154,169)(155,195)(156,183)(158,193)(159,177)(164,186)
2303        (165,166)(167,174)(168,200)(171,204)(173,178)(175,180)(182,201)
2304        (187,199)(188,207)(190,205)(202,208),
2305      (  1,  3,  8, 21)(  2,  5, 13, 35)(  4, 11, 29, 73)(  6, 16)
2306        (  7, 18, 12, 32)(  9, 24, 59,126)( 10, 26, 65,134)( 14, 38, 34, 82)
2307        ( 15, 40, 47,108)( 17, 45,103,154)( 19, 43, 99,125)( 20, 50,115, 39)
2308        ( 22, 54)( 23, 56,100, 84)( 25, 62,120,164)( 27, 68, 51,116)
2309        ( 28, 70,141, 42)( 30, 76, 66,136)( 31, 78,153, 87)( 33, 60,110, 63)
2310        ( 36, 86,160, 74)( 37, 88,157, 52)( 41, 97,174,191)( 44,101,166, 96)
2311        ( 46,105,139, 69)( 48,109,179,198)( 49,112,106,178)( 53,118,187,111)
2312        ( 55, 57,124,190)( 58, 90,165,144)( 61,128, 64,132)( 67,138,142,199)
2313        ( 71, 85,143, 72)( 75,147,161,140)( 77,151,180, 89)( 79,155,168,119)
2314        ( 80,156,129,175)( 81,131,195,176)( 83,158,192,186)( 91,167,135,149)
2315        ( 92,169,203,184)( 93,127,137,193)( 94,171,163,159)( 95,173,204,170)
2316        ( 98,114)(102,150)(104,107,130,194)(113,182,205,201)(117,177,197,152)
2317        (121,162)(122,188,185,189)(123,133)(145,146)(148,200,196,208)
2318        (172,202,207,181)(183,206), (  1,  4, 12, 33)(  2,  6, 17, 42)
2319        (  3,  9, 25, 63)(  5, 14, 39, 93)(  7, 19, 49,113)(  8, 22, 55, 50)
2320        ( 10, 27, 69,124)( 11, 30, 77,152)( 13, 36, 87,128)( 15, 41, 98,160)
2321        ( 16, 43,100,107)( 18, 47, 96,147)( 20, 45,104,146)( 21, 52,115, 32)
2322        ( 23, 57,125, 54)( 24, 60, 78,154)( 26, 66,137,101)( 28, 71,143,185)
2323        ( 29, 74, 88,162)( 31, 79)( 34, 83, 94, 81)( 35, 58)( 37, 89,164,153)
2324        ( 38, 91,168,171)( 40, 95,120,136)( 46,106,172,126)( 48,110,180,109)
2325        ( 51,117,186,205)( 53,119,121, 80)( 56,122,114,183)( 59,127, 70,142)
2326        ( 61,129,193,198)( 62, 90,166,202)( 64,133,111, 99)( 65, 86,116,184)
2327        ( 67, 68)( 72,144,149,201)( 73,105,123,189)( 75,148,139,179)
2328        ( 76,150,195,196)( 82,157,182,151)( 84,131,138,194)( 85,159,178,167)
2329        ( 92,170)( 97,175,134,197)(102,141,176,190)(103,177,158,155)
2330        (108,156,163,145)(112,181)(118,161,165,174)(130,188,191,173)
2331        (132,169,192,140)(187,207,203,204)(200,206) ] ],
2332[4, Factorial(208)/2,1,"2",[[207,1]],206, "Alt(208)", ["A",208, 1], "Alt"],
2333[5, Factorial(208),0,"2",[[207, 1]],208, "Sym(208)", ["A",208, 1], "Sym"]];
2334PRIMGRP[209]:=
2335[[1, Factorial(209)/2,1,"2",[[208,1]],207, "Alt(209)", ["A",209, 1], "Alt"],
2336[2, Factorial(209),0,"2",[[208, 1]],209, "Sym(209)", ["A",209, 1], "Sym"]];
2337PRIMGRP[210]:=
2338[[ 1, 1814400, 1, "2", [ [ 24, 1 ], [ 90, 1 ], [ 80, 1 ], [ 15, 1 ] ], 1,
2339  "Alt(10)", [ "A", 10, 1 ],
2340  [ (  1,186,131,  2,126,115,107, 36,176,111, 57,118,108, 34, 52,125,151, 37,
2341         123, 15,114)(  3, 73,122, 65,181,210,184,124, 68,163, 88, 21,155,170,
2342         134,185,117, 99,192,205, 30)(  4, 76,166, 79,189,105,102, 42, 63,175,
2343         50,190,109,159, 25,110,178, 69,137,  7, 11)(  5,127, 62, 95,149,180,
2344          64,128,172,194, 98,152, 92, 90,141, 16,112,146, 10, 86, 45)
2345        (  6,157, 89, 23,  9, 80, 29,145,161, 61, 93,148, 24, 17,154,173, 48,
2346          87,158, 38,132)(  8,101,144,174,104,164,168)( 12, 54, 47,135,193,
2347          66, 51,183,204, 28,169, 46, 85, 55, 22,199,198,208, 27, 39, 70)
2348        ( 13,143,130,177,129,187,103)( 14,139,138,142,133,147,140)
2349        ( 18, 74,202,106, 94, 33,206,182, 97,196, 26,120, 19,200, 32, 75,203,
2350          84, 96,191,209)( 20, 82,160,121, 59,165,162)( 31,153,167, 44,119,
2351         179,116)( 35, 49,207,188, 78,195,201)( 40, 83,150, 72, 91, 58, 41,
2352         136,100,171, 71,113, 56, 60,156, 53, 81, 67,197, 77, 43),
2353      (  1,187, 72, 83, 80,184, 61,145)(  2, 24,146,103,  5,107,157,207)
2354        (  3,105,148,181, 49,136, 43, 29)(  4, 41,106,121, 56,122, 16,188)
2355        (  6, 82,179,114, 81,202, 27, 62)(  7,143,  9, 22, 33,195,156,151)
2356        (  8, 55,110,130, 23,140, 88, 87)( 10, 91,161,203,100,104,141,101)
2357        ( 11,113,147, 54, 98,116,182, 89)( 12, 25, 78,132,172, 26,134,176)
2358        ( 13, 15, 63, 99)( 14,115, 70, 68,185, 76,129,144)( 17, 75)
2359        ( 18, 44, 94, 90,167,197,123, 38)( 19, 40,135,142,158,117, 97, 47)
2360        ( 20,171,209,102,189,126,205,128)( 21,191,201,111,186,163,124, 77)
2361        ( 28, 42,169,109,174,183, 66, 60)( 30,180, 53,210,160, 34,118,204)
2362        ( 31,152, 64,149,190,150,194, 96)( 32, 86,193,206,133, 36,165, 69)
2363        ( 35,112,159, 45,168, 52,175, 92)( 37,199,164, 50, 95, 79,170, 67)
2364        ( 39,208,125,192)( 46,196, 57,155,153,139,166, 71)( 48,120,137,173,
2365         200,154,138,178)( 51, 59, 65,119,162, 93,108, 73)( 58,177, 74, 84,
2366         127,198, 85,131) ] ],
2367[ 2, 3628800, 0, "2", [ [ 24, 1 ], [ 90, 1 ], [ 80, 1 ], [ 15, 1 ] ], 1,
2368  "Sym(10)", [ "A", 10, 1 ],
2369  [ (  1,  2,  3,  5,  8, 12, 17, 24, 35, 48)(  4,  7, 11, 15, 22, 31, 43, 53,
2370         69, 87)(  6, 10, 14, 21, 29, 41, 55, 71, 90,111)(  9, 13, 19, 26, 38,
2371         51, 66, 82,102,126)( 16, 23, 33, 45, 60, 76, 97,119,127,146)
2372        ( 18, 25, 36, 46, 61, 77, 59, 75, 95,116)( 20, 28, 40, 54, 70, 89,109,
2373         133,152,166)( 27, 39, 52, 68, 85,105,130,150,117,138)
2374        ( 30, 42, 56, 73, 67, 84,104, 96,118,139)( 32, 44, 58, 37, 50)
2375        ( 34, 47, 62, 78, 63, 79, 98,121,141,157)( 49, 64, 80,100,124,144,161,
2376         163,176,185)( 57, 74, 93, 86,106,131, 65, 81,101,125)
2377        ( 72, 91,112,135,145,162,175,177,186,193)( 83,103,128,147,158,170,180,
2378         188,194,199)( 88,108,122,142,159,171,114,137,156,169)
2379        ( 92,113,136,155,120,140,148,164,172,182)( 94,115,107,132,151)
2380        ( 99,123,143,160,173,183,190,196,201,205)(110,134,153,167,178,181,189,
2381         195,200,204)(129,149,165,174,184,191,197,202,206,208)
2382        (154,168,179,187,192,198,203,207,209,210),
2383      (  2,  4)(  3,  6)(  5,  9)( 11, 16)( 12, 18)( 13, 20)( 19, 27)( 21, 30)
2384        ( 22, 32)( 23, 34)( 25, 37)( 33, 46)( 35, 49)( 39, 53)( 42, 57)
2385        ( 44, 59)( 48, 63)( 50, 65)( 51, 67)( 55, 72)( 61, 76)( 66, 83)
2386        ( 68, 86)( 69, 88)( 70, 71)( 73, 92)( 74, 94)( 75, 96)( 79, 99)
2387        ( 85,100)( 87,107)( 89,110)( 93,114)( 95,117)( 97,120)( 98,122)
2388        (101,119)(102,127)(103,129)(116,130)(121,133)(124,145)(128,148)
2389        (134,154)(139,144)(141,158)(143,153)(146,163)(159,172)(160,174)
2390        (164,177)(170,181)(180,185)(182,183)(184,192)(191,193) ] ],
2391[ 3, 25545471085854720000, 1, "2", [ [ 38, 1 ], [ 171, 1 ] ], 1, "Alt(21)",
2392  [ "A", 21, 1 ],
2393  [ (  1, 66,187,188,123, 77,203,192,100, 51,158,205,  4,104,135,145,169,119,
2394         166, 91, 64, 68,210,160,121, 50,201,167,146, 84,122,103, 16,131,101,
2395         183, 81, 87,197,149,180,108,144, 82,157,154,147,202,  9,148,207,172,
2396          49, 59,190,114, 25,142,124, 92)(  2, 83,185,  6,125, 34, 55,204, 32,
2397         38,107, 54, 99, 93,174)(  3,102,139, 72,129, 62, 89,136, 28, 63,173,
2398         116,110, 57,  7)(  5,177,198, 21, 27, 39, 31, 67,130, 15,178, 73,168,
2399         179,163)(  8,196,113, 56,106, 23, 71,171, 96, 40, 35,138,105,176,152)
2400        ( 10,120,184, 94, 30, 75, 14,109,208, 60, 33, 69, 46, 37,118, 88, 24,
2401         115,162,132,140, 98, 19,159, 22, 52, 13, 44, 61, 58)( 11,155,161,128,
2402         42, 95, 79,153,206, 48,150,151, 90, 85,141)( 12,175,195, 41,191, 17,
2403          26, 53, 76, 70,164,193,189,156, 65)( 18, 80,127, 74, 20,186,200,194,
2404         133,117, 47, 29,182, 45, 86)( 36, 43,209,137)( 97,181,199,143)
2405        (111,126)(112,134,165,170), (  1,170,200,164,198, 54, 27, 89, 92)
2406        (  2,101,138, 86, 41,205, 49, 51,185)(  3, 91,100, 68,  5,167,123, 59,
2407         47)(  4,148, 62, 63,177,160, 81,131,202)(  6,112,146, 50, 34, 15,204,
2408         31,128)(  7, 35,171,116, 72,166, 82,180, 77)(  8,155,182, 26, 55,188,
2409         134,165,119)(  9,126, 16,142,195, 80,191, 71,172)( 10,129, 37,162,
2410         179,181,184, 57, 60)( 11,192,121, 84, 12,144,102, 76, 21)
2411        ( 13, 85, 94, 30,147,115,118,117, 88)( 14,186,159, 46,106,109,199,169,
2412         43)( 17, 70,151,110,135,156,158,161,130)( 18, 53,105,168,122,124, 93,
2413         96, 28)( 19,103,143, 97,163,120,208, 95, 52)( 20,210,127, 74, 56,201,
2414         173, 67,139)( 22,152, 69, 61, 65,132,209, 83, 58)( 23, 99,113, 90,
2415         203,196,114, 64,108)( 24,125, 44, 33,175,137, 36, 66, 98)
2416        ( 25, 87, 79,189,133,197,150,153,183)( 29,149,157,154,187,178,136, 32,
2417         40)( 38,194,145,111,104,141, 48,206, 39)( 42,190, 73,176,207,193,107,
2418         45,174)( 75, 78,140) ] ],
2419[ 4, 51090942171709440000, 0, "2", [ [ 38, 1 ], [ 171, 1 ] ], 1, "Sym(21)",
2420  [ "A", 21, 1 ],
2421  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
2422          91,101,111)(  4,  6,  8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66,
2423         74, 83, 92,102,112,123,122)(  9, 12, 15, 19, 23, 28, 33, 39, 45, 52,
2424          59, 67, 75, 84, 93,103,113,124,134,133,144)( 16, 20, 24, 29, 34, 40,
2425         46, 53, 60, 68, 76, 85, 94,104,114,125,135,146,145,155,166)
2426        ( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,136,147,157,
2427         156,167,177,187)( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,137,
2428         148,158,169,168,178,188,195,201)( 49, 56, 63, 71, 79, 88, 97,107,117,
2429         128,138,149,159,170,180,179,189,196,202,206,209)( 64, 72, 80, 89, 98,
2430         108,118,129,139,150,160,171,181,165,176,186,194,200,205,208,210)
2431        ( 81, 90, 99,109,119,130,140,151,161,172,182,190,143,154,164,175,185,
2432         193,199,204,207)(100,110,120,131,141,152,162,173,183,191,197,121,132,
2433         142,153,163,174,184,192,198,203),
2434      (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
2435        ( 90,100)(110,121)(111,122)(123,133)(132,143)(134,145)(146,156)
2436        (154,165)(157,168)(169,179)(176,180) ] ],
2437[5, Factorial(210)/2,1,"2",[[209,1]],208, "Alt(210)", ["A",210, 1], "Alt"],
2438[6, Factorial(210),0,"2",[[209, 1]],210, "Sym(210)", ["A",210, 1], "Sym"]];
2439PRIMGRP[211]:=
2440[[ 1, 211, 3, "1", [ [ 1, 210 ] ], 1, "C(211)", [ "Z", 211, 1 ], [  ] ],
2441[ 2, 422, 2, "1", [ [ 2, 105 ] ], 1, "D(2*211)", [ "Z", 211, 1 ],
2442  [ [ [ Z(211)^105 ] ] ] ],
2443[ 3, 633, 2, "1", [ [ 3, 70 ] ], 1, "211:3", [ "Z", 211, 1 ],
2444  [ [ [ Z(211)^70 ] ] ] ],
2445[ 4, 1055, 2, "1", [ [ 5, 42 ] ], 1, "211:5", [ "Z", 211, 1 ],
2446  [ [ [ Z(211)^42 ] ] ] ],
2447[ 5, 1266, 2, "1", [ [ 6, 35 ] ], 1, "211:6", [ "Z", 211, 1 ],
2448  [ [ [ Z(211)^35 ] ] ] ],
2449[ 6, 1477, 2, "1", [ [ 7, 30 ] ], 1, "211:7", [ "Z", 211, 1 ],
2450  [ [ [ Z(211)^30 ] ] ] ],
2451[ 7, 2110, 2, "1", [ [ 10, 21 ] ], 1, "211:10", [ "Z", 211, 1 ],
2452  [ [ [ Z(211)^21 ] ] ] ],
2453[ 8, 2954, 2, "1", [ [ 14, 15 ] ], 1, "211:14", [ "Z", 211, 1 ],
2454  [ [ [ Z(211)^15 ] ] ] ],
2455[ 9, 3165, 2, "1", [ [ 15, 14 ] ], 1, "211:15", [ "Z", 211, 1 ],
2456  [ [ [ Z(211)^14 ] ] ] ],
2457[ 10, 4431, 2, "1", [ [ 21, 10 ] ], 1, "211:21", [ "Z", 211, 1 ],
2458  [ [ [ Z(211)^10 ] ] ] ],
2459[ 11, 6330, 2, "1", [ [ 30, 7 ] ], 1, "211:30", [ "Z", 211, 1 ],
2460  [ [ [ Z(211)^7 ] ] ] ],
2461[ 12, 7385, 2, "1", [ [ 35, 6 ] ], 1, "211:35", [ "Z", 211, 1 ],
2462  [ [ [ Z(211)^6 ] ] ] ],
2463[ 13, 8862, 2, "1", [ [ 42, 5 ] ], 1, "211:42", [ "Z", 211, 1 ],
2464  [ [ [ Z(211)^5 ] ] ] ],
2465[ 14, 14770, 2, "1", [ [ 70, 3 ] ], 1, "211:70", [ "Z", 211, 1 ],
2466  [ [ [ Z(211)^3 ] ] ] ],
2467[ 15, 22155, 2, "1", [ [ 105, 2 ] ], 1, "211:105", [ "Z", 211, 1 ],
2468  [ [ [ Z(211)^2 ] ] ] ],
2469[ 16, 44310, 2, "1", [ [ 210, 1 ] ], 2, "AGL(1, 211)", [ "Z", 211, 1 ],
2470  [ [ [ Z(211) ] ] ] ],
2471[17, Factorial(211)/2,1,"2",[[210,1]],209, "Alt(211)", ["A",211, 1], "Alt"],
2472[18, Factorial(211),0,"2",[[210, 1]],211, "Sym(211)", ["A",211, 1], "Sym"]];
2473PRIMGRP[212]:=
2474[[ 1, 4696860, 1, "2", [ [ 211, 1 ] ], 2, "PSL(2, 211)",
2475  [ "L", [ 2, 211 ], 1 ], "psl" ],
2476[ 2, 9393720, 0, "2", [ [ 211, 1 ] ], 3, "PGL(2, 211)",
2477  [ "L", [ 2, 211 ], 1 ], "pgl" ],
2478[3, Factorial(212)/2,1,"2",[[211,1]],210, "Alt(212)", ["A",212, 1], "Alt"],
2479[4, Factorial(212),0,"2",[[211, 1]],212, "Sym(212)", ["A",212, 1], "Sym"]];
2480PRIMGRP[213]:=
2481[[1, Factorial(213)/2,1,"2",[[212,1]],211, "Alt(213)", ["A",213, 1], "Alt"],
2482[2, Factorial(213),0,"2",[[212, 1]],213, "Sym(213)", ["A",213, 1], "Sym"]];
2483PRIMGRP[214]:=
2484[[1, Factorial(214)/2,1,"2",[[213,1]],212, "Alt(214)", ["A",214, 1], "Alt"],
2485[2, Factorial(214),0,"2",[[213, 1]],214, "Sym(214)", ["A",214, 1], "Sym"]];
2486PRIMGRP[215]:=
2487[[1, Factorial(215)/2,1,"2",[[214,1]],213, "Alt(215)", ["A",215, 1], "Alt"],
2488[2, Factorial(215),0,"2",[[214, 1]],215, "Sym(215)", ["A",215, 1], "Sym"]];
2489PRIMGRP[216]:=
2490[[ 1, 139968000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2491  "Alt(6) wreath Alt(3)", [ "A", 6, 3 ],
2492  [ (  1, 53,100, 31,161, 99)(  2, 47,136, 36,167,207)(  3, 41, 64, 34,179,171
2493         )(  4, 71,172, 33,149, 63)(  5, 65, 28, 35,173, 27)(  6, 59,208, 32,
2494         155,135)(  7,125,102, 19,197, 98)(  8,119,138, 24,203,206)
2495        (  9,113, 66, 22,215,170)( 10,143,174, 21,185, 62)( 11,137, 30, 23,
2496         209, 26)( 12,131,210, 20,191,134)( 13, 89, 97)( 14, 83,133, 18, 95,
2497         205)( 15, 77, 61, 16,107,169)( 17,101, 25)( 37, 52,106,175,159, 75)
2498        ( 38, 46,142,180,165,183)( 39, 40, 70,178,177,147)( 42, 58,214,176,
2499         153,111)( 43,124,108,163,195, 74)( 44,118,144,168,201,182)
2500        ( 45,112, 72,166,213,146)( 48,130,216,164,189,110)( 49, 88,103,157,
2501          87, 73)( 50, 82,139,162, 93,181)( 51, 76, 67,160,105,145)
2502        ( 54, 94,211,158, 81,109)( 55,196,104,151,123, 78)( 56,190,140,156,
2503         129,186)( 57,184, 68,154,141,150)( 60,202,212,152,117,114)( 69,148)
2504        ( 79,121, 90, 91,193, 86)( 80,115,126, 96,199,194)( 84,127,198, 92,
2505         187,122)(116,120,132,204,200,188)(128,192),
2506      (  1, 83,216, 25, 82,180)(  2, 47,198, 27,118,168)(  3,119,204, 26, 46,
2507         162)(  4,155,186, 29,190,174)(  5,191,210, 28,154,150)
2508        (  6, 11,192, 30, 10,156)(  7, 84, 36)(  8, 48, 18,  9,120, 24)
2509        ( 13, 81,144, 19, 80, 72)( 14, 45,126, 21,116, 60)( 15,117,132, 20,
2510          44, 54)( 16,153,114, 23,188, 66)( 17,189,138, 22,152, 42)
2511        ( 31, 79,108)( 32, 43, 90, 33,115, 96)( 34,151, 78, 35,187,102)
2512        ( 37, 89,213,133, 94,176)( 38, 53,195,135,130,164)( 39,125,201,134,
2513          58,158)( 40,161,183,137,202,170)( 41,197,207,136,166,146)
2514        ( 49, 87,141,127, 92, 68)( 50, 51,123,129,128, 56)( 52,159,111,131,
2515         200, 62)( 55, 86, 69,121, 93,140)( 57,122)( 59,194, 63,124,165,110)
2516        ( 61, 88,177,109, 95,212)( 64,160,147,113,203,206)( 65,196,171,112,
2517         167,182)( 67, 85,105,139, 91,104)( 70,157, 75,143,199, 98)
2518        ( 71,193, 99,142,163, 74)( 73,107,211, 97,106,175)( 76,179,181,101,
2519         214,169)( 77,215,205,100,178,145)(148,149,185,209,208,172)(173,184)
2520     ] ],
2521[ 2, 279936000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2522  "Alt(6)^3.6", [ "A", 6, 3 ],
2523  [ (  1,168, 45, 98,124)(  2,162,  9,102,118, 73,166, 39,170,123, 25,132, 43,
2524         92, 52)(  3,174,117, 97,130, 37,164, 51, 26,126,  7, 96, 46, 74,160)
2525        (  4,150,153, 99,136,109,163, 57, 62,122, 13, 24, 48, 80, 88)
2526        (  5,180,189,101,142,181,167, 69,206,125, 31,204, 47,104,196)
2527        (  6,156, 81,100,112,145,165, 63,134,121, 19, 60, 44, 86, 16)
2528        (  8, 90, 10, 78,154, 75,172,111,169,129, 61,128, 49, 20, 54)
2529        ( 11,108,190, 77,178,183,173,141,205,131, 67,200, 53, 32,198)
2530        ( 12, 84, 82, 76,148,147,171,135,133,127, 55, 56, 50, 14, 18)
2531        ( 15, 30,120, 79, 94, 40,146,159, 27,138,115, 91, 58, 38,158)
2532        ( 17, 36,192, 83,106,184,149,177,207,137,139,199, 59, 68,194)
2533        ( 21, 66,116, 85, 22, 42,152, 87, 28,114,151, 93, 64,110,157)
2534        ( 23, 72,188, 89, 34,186,155,105,208,113,175,201, 65,140,193)
2535        ( 29,144,187, 95, 70,182,161, 33,210,119,103,202, 41,176,195)
2536        ( 35,216,191,107,214,185,179,213,209,143,211,203, 71,212,197),
2537      (  1, 54,127, 40, 24,124)(  2,198,115, 38,204,118)(  3, 90,133, 39, 96,
2538         136)(  4, 18,121, 37, 60,130)(  5,162,139, 41,168,142)
2539        (  6,126,109, 42,132,112)(  7, 50,199, 46, 20,196)(  8,194,187, 44,
2540         200,190)(  9, 86,205, 45, 92,208)( 10, 14,193, 43, 56,202)
2541        ( 11,158,211, 47,164,214)( 12,122,181, 48,128,184)( 13, 49, 55, 58,
2542          22, 16)( 15, 85, 61, 57, 94, 28)( 17,157, 67, 59,166, 34)( 19, 52)
2543        ( 21, 88, 25, 51, 91, 64)( 23,160, 31, 53,163, 70)( 26,195, 79, 62,
2544         201, 82)( 27, 87, 97, 63, 93,100)( 29,159,103, 65,165,106)
2545        ( 30,123, 73, 66,129, 76)( 32,197,151, 68,203,154)( 33, 89,169, 69,
2546          95,172)( 35,161,175, 71,167,178)( 36,125,145, 72,131,148)
2547        ( 74,210,117)( 75,102,135)( 77,174,141)( 78,138,111)( 80,206,189)
2548        ( 81, 98,207)( 83,170,213)( 84,134,183)(101,171,105)(104,209,153)
2549        (107,173,177)(108,137,147)(110,186,120)(113,150,144)(116,182,192)
2550        (119,146,216)(140,185,156)(143,149,180)(152,212,191)(155,176,215) ] ],
2551[ 3, 279936000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2552  "Alt(6) wreath Sym(3)", [ "A", 6, 3 ],
2553  [ (  1,172, 75,142,181, 28,147,106,109,208,  3,178, 73,136,183, 34,145,100,
2554         111,214)(  2,154, 77,124,182, 10,149, 88,110,190,  5,160, 74,118,185,
2555         16,146, 82,113,196)(  4,148, 76,112,184)(  6,166, 78,130,186, 22,150,
2556         94,114,202)(  7,173, 87,140,187, 29,159,104,115,209, 15,176, 79,137,
2557         195, 32,151,101,123,212)(  8,155, 89,122,188, 11,161, 86,116,191, 17,
2558         158, 80,119,197, 14,152, 83,125,194)(  9,179, 85,134,189, 35,157, 98,
2559         117,215, 13,170, 81,143,193, 26,153,107,121,206)( 12,167, 90,128,192,
2560         23,162, 92,120,203, 18,164, 84,131,198, 20,156, 95,126,200)
2561        ( 19,174, 93,144,199, 30,165,108,127,210, 21,180, 91,138,201, 36,163,
2562         102,129,216)( 24,168, 96,132,204)( 25,171,105,139,205, 27,177,103,
2563         133,207, 33,175, 97,135,213, 31,169, 99,141,211)( 37, 64, 39, 70)
2564        ( 38, 46, 41, 52)( 42, 58)( 43, 65, 51, 68)( 44, 47, 53, 50)
2565        ( 45, 71, 49, 62)( 48, 59, 54, 56)( 55, 66, 57, 72)( 61, 63, 69, 67),
2566      (  1, 72,  9,178, 19,144, 27,106, 13,216,  3, 70,  7,180, 21,142, 25,
2567         108, 15,214)(  2, 71,  8,179, 20,143, 26,107, 14,215)
2568        (  4, 67, 12,177, 22,139, 30,105, 16,211,  6, 69, 10,175, 24,141, 28,
2569         103, 18,213)(  5, 68, 11,176, 23,140, 29,104, 17,212)( 31, 36, 33, 34
2570         )( 32, 35)( 37, 48,153,166,127,138, 99, 88,193,186, 39, 46,151,168,
2571         129,136, 97, 90,195,184)( 38, 47,152,167,128,137, 98, 89,194,185)
2572        ( 40, 43,156,165,130,133,102, 87,196,181, 42, 45,154,163,132,135,100,
2573          85,198,183)( 41, 44,155,164,131,134,101, 86,197,182)
2574        ( 49,192,147, 58,115,174, 93,124,205, 78, 51,190,145, 60,117,172, 91,
2575         126,207, 76)( 50,191,146, 59,116,173, 92,125,206, 77)
2576        ( 52,187,150, 57,118,169, 96,123,208, 73, 54,189,148, 55,120,171, 94,
2577         121,210, 75)( 53,188,149, 56,119,170, 95,122,209, 74)
2578        ( 61, 84,159,202,109, 66, 81,160,199,114, 63, 82,157,204,111, 64, 79,
2579         162,201,112)( 62, 83,158,203,110, 65, 80,161,200,113) ] ],
2580[ 4, 279936000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2581  "Alt(6)^3.Sym(3)", [ "A", 6, 3 ],
2582  [ (  1,119,201, 88, 37,155, 21,124,181, 83, 57,160)(  2,137,200,100, 38,173,
2583         20,136,182,101, 56,172)(  3,125,199, 82, 39,161, 19,118,183, 89, 55,
2584         154)(  4,113,203, 94, 40,149, 23,130,184, 77, 59,166)
2585        (  5,131,202, 76, 41,167, 22,112,185, 95, 58,148)(  6,143,204,106, 42,
2586         179, 24,142,186,107, 60,178)(  7,117,195, 85, 43,153, 15,121,187, 81,
2587         51,157)(  8,135,194, 97, 44,171, 14,133,188, 99, 50,169)
2588        (  9,123,193, 79, 45,159, 13,115,189, 87, 49,151)( 10,111,197, 91, 46,
2589         147, 17,127,190, 75, 53,163)( 11,129,196, 73, 47,165, 16,109,191, 93,
2590         52,145)( 12,141,198,103, 48,177, 18,139,192,105, 54,175)
2591        ( 25,116,207, 86, 61,152, 27,122,205, 80, 63,158)( 26,134,206, 98, 62,
2592         170)( 28,110,209, 92, 64,146, 29,128,208, 74, 65,164)
2593        ( 30,140,210,104, 66,176)( 31,120,213, 90, 67,156, 33,126,211, 84, 69,
2594         162)( 32,138,212,102, 68,174)( 34,114,215, 96, 70,150, 35,132,214,
2595          78, 71,168)( 36,144,216,108, 72,180),
2596      (  1,193,212, 38, 52, 34)(  2, 49,214)(  3,157,215, 74, 54,142)
2597        (  4, 13,211,182, 50, 70)(  5, 85,216,110, 51,178)(  6,121,213,146,
2598          53,106)(  7,187,188, 44, 46, 10)(  8, 43,190)(  9,151,191, 80, 48,
2599         118)( 11, 79,192,116, 45,154)( 12,115,189,152, 47, 82)( 14, 67,184)
2600        ( 15,175,185, 86, 72,112)( 16, 31,181,194, 68, 40)( 17,103,186,122,
2601          69,148)( 18,139,183,158, 71, 76)( 19,205,200, 62, 58, 28)
2602        ( 20, 61,202, 26, 55,208)( 21,169,203, 98, 60,136)( 22, 25,199,206,
2603          56, 64)( 23, 97,204,134, 57,172)( 24,133,201,170, 59,100)
2604        ( 27,163,209, 92, 66,130)( 29, 91,210,128, 63,166)( 30,127,207,164,
2605          65, 94)( 32, 37,196)( 33,145,197,104, 42,124)( 35, 73,198,140, 39,
2606         160)( 36,109,195,176, 41, 88)( 75,162,143)( 77, 90,144,111,159,179)
2607        ( 78,126,141,147,161,107)( 81,156,119)( 83, 84,120,117,153,155)
2608        ( 87,180,113)( 89,108,114,123,177,149)( 93,174,131, 99,168,137)
2609        ( 95,102,132,135,165,173)( 96,138,129,171,167,101)(105,150,125) ] ],
2610[ 5, 559872000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2611  "Alt(6)^3.Alt(4)", [ "A", 6, 3 ],
2612  [ (  1,141, 88,170,  5,213, 82,169,113,195, 80, 25,143,196,152)
2613        (  2, 33,106,172,149,183, 81, 97,137,197,188,  7,139,124,158)
2614        (  3,105,100,173,185,189, 79,133,125,194,  8, 31,142,160,146)
2615        (  4,177, 76,171, 77,207, 83,205,119,193,116, 13,140, 16,176)
2616        (  6, 69, 94,174, 41,201, 84, 61,131,198, 44, 19,144, 52,164)
2617        (  9,103,136,161,182)( 10,175,112,159, 74, 27,107,208,155,181,117, 85,
2618         134, 17,212)( 11,211,118,157,110, 15,104, 28,179,184,153, 73,135, 89,
2619         206)( 12, 67,130,162, 38, 21,108, 64,167,186, 45, 91,138, 53,200)
2620        ( 14, 32, 34,178,148,147, 75, 99,101,209,191,187,115,121,122)
2621        ( 18, 68, 22,180, 40,165, 78, 63, 95,210, 47,199,120, 49,128)
2622        ( 20, 36, 70,166,150, 39, 93,102, 65,203,192, 43,127,126, 50)
2623        ( 23,216, 46,163,114, 51, 92, 30, 71,202,156, 37,129, 90, 62)
2624        ( 24, 72, 58,168, 42, 57, 96, 66, 59,204, 48, 55,132, 54, 56)
2625        ( 26, 35,214,154,145,111, 87, 98, 29,215,190,151,109,123, 86),
2626      (  1,104,209,126, 40, 93, 11,158, 61,141,190,168)(  2, 98,137,124, 58,
2627          21,  8,170,133,142,202, 24)(  3, 80,173,121, 70,201, 12,146, 97,143,
2628         196, 60)(  4, 92, 29,122, 64,129, 10,164, 25,140,208,132)
2629        (  5, 86, 65,123, 46,165,  7,176,205,144,184, 96)(  6, 74,101,125, 52,
2630         57,  9,152,169,139,214,204)( 13, 68,207,120,148, 91, 35,194, 66,111,
2631          82,167)( 14, 62,135,118,166, 19, 32,206,138,112, 94, 23)
2632        ( 15, 44,171,115,178,199, 36,182,102,113, 88, 59)( 16, 56, 27,116,172,
2633         127, 34,200, 30,110,100,131)( 17, 50, 63,117,154,163, 31,212,210,114,
2634         76, 95)( 18, 38, 99,119,160, 55, 33,188,174,109,106,203)
2635        ( 20, 26,134,136,130, 22)( 28,128)( 37,105,191,162)( 39, 81,155,157,
2636          67,213,192,150, 73,107,197, 54)( 41, 87, 47,159, 43,177,187,180,181,
2637         108,185, 90)( 42, 75, 83,161, 49, 69,189,156,145,103,215,198)
2638        ( 45,153,151,175,211,216,186, 78, 77, 89, 53, 51)( 48,147, 79,179,193,
2639         72,183, 84,149, 85, 71,195) ] ],
2640[ 6, 559872000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2641  "Alt(6)^3.D_12", [ "A", 6, 3 ],
2642  [ (  1,170, 18,149, 32,160, 23,175, 28,168)(  2,158, 17,179, 34,166, 19,169,
2643         30,150)(  3,152, 15,155, 33,154, 21,151, 27,156)(  4,164, 13,173, 36,
2644         148, 20,157, 29,180)(  5,176, 16,167, 31,172, 24,145, 26,162)
2645        (  6,146, 14,161, 35,178, 22,163, 25,174)(  7,171, 12,147,  8,159, 11,
2646         177, 10,165)(  9,153)( 37,206,126, 41,212,124, 59,211,136, 60,181,
2647         134, 54,185,140, 52,203,139, 64,204,109, 62,198,113, 68,196,131, 67,
2648         208,132)( 38,194,125, 71,214,130, 55,205,138, 42,182,122, 53,215,142,
2649         58,199,133, 66,186,110, 50,197,143, 70,202,127, 61,210,114)
2650        ( 39,188,123, 47,213,118, 57,187,135, 48,183,116, 51,191,141, 46,201,
2651         115, 63,192,111, 44,195,119, 69,190,129, 43,207,120)( 40,200,121, 65,
2652         216,112, 56,193,137, 72,184,128, 49,209,144)( 45,189,117)
2653        ( 73, 98, 90, 77,104, 88, 95,103,100, 96)( 74, 86, 89,107,106, 94, 91,
2654         97,102, 78)( 75, 80, 87, 83,105, 82, 93, 79, 99, 84)( 76, 92, 85,101,
2655         108), (  1, 32,110,144,186,214, 76,107,149,175)(  2,140,114,216,184,
2656         106, 77,179,145, 31)(  3, 68,111, 72,183, 70, 75, 71,147, 67)
2657        (  4,104,113,180,181, 34, 74,143,150,211)(  5,176,109, 36,182,142, 78,
2658         215,148,103)(  6,212,112,108,185,178, 73, 35,146,139)
2659        (  7, 20,134,126,192,202,100, 89,155,163, 25, 14,116,132,210,196, 82,
2660          95,173,157)(  8,128,138,198,190, 94,101,161,151, 19, 26,122,120,204,
2661         208, 88, 83,167,169, 13)(  9, 56,135, 54,189, 58, 99, 53,153, 55, 27,
2662         50,117, 60,207, 52, 81, 59,171, 49)( 10, 92,137,162,187, 22, 98,125,
2663         156,199, 28, 86,119,168,205, 16, 80,131,174,193)( 11,164,133, 18,188,
2664         130,102,197,154, 91, 29,158,115, 24,206,124, 84,203,172, 85)
2665        ( 12,200,136, 90,191,166, 97, 17,152,127, 30,194,118, 96,209,160, 79,
2666          23,170,121)( 15, 44,129, 66,195, 46, 93, 65,159, 43, 21, 62,123, 48,
2667         201, 64, 87, 47,165, 61)( 33, 38,141, 42,213, 40,105, 41,177, 37)
2668        ( 39, 69)( 45, 57, 63, 51) ] ],
2669[ 7, 1119744000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2670  "Sym(6) wreath 3", [ "A", 6, 3 ],
2671  [ (  1,104,198,145, 68, 18, 73,212,162, 37, 32, 90,181,176, 54)
2672        (  2,108,193,146, 72, 13, 74,216,157, 38, 36, 85,182,180, 49)
2673        (  3,107,196,147, 71, 16, 75,215,160, 39, 35, 88,183,179, 52)
2674        (  4,105,197,148, 69, 17, 76,213,161, 40, 33, 89,184,177, 53)
2675        (  5,106,195,149, 70, 15, 77,214,159, 41, 34, 87,185,178, 51)
2676        (  6,103,194,150, 67, 14, 78,211,158, 42, 31, 86,186,175, 50)
2677        (  7, 80,192,151, 44, 12, 79,188,156, 43,  8, 84,187,152, 48)
2678        (  9, 83,190,153, 47, 10, 81,191,154, 45, 11, 82,189,155, 46)
2679        ( 19, 98,204,169, 56, 30, 91,206,168, 61, 20,102,199,170, 60, 25, 92,
2680         210,163, 62, 24, 97,200,174, 55, 26, 96,205,164, 66)( 21,101,202,171,
2681         59, 28, 93,209,166, 63, 23,100,201,173, 58, 27, 95,208,165, 65, 22,
2682          99,203,172, 57, 29, 94,207,167, 64)(109,140,126)(110,144,121)
2683        (111,143,124)(112,141,125)(113,142,123)(114,139,122)(115,116,120)
2684        (117,119,118)(127,134,132,133,128,138)(129,137,130,135,131,136),
2685      (  1, 35,142, 88, 81,152,206,199, 24, 72, 40, 77,119,122,195,165,174, 61
2686         )(  2,215,130, 90, 45,146,209,127, 18, 69,148,101,115, 14,213,166,
2687         102, 43)(  3,179,136, 85,  9,176,208, 91, 12, 68,184, 95,120, 50,183,
2688         167,138, 49)(  4,107,118, 86,189,164,210, 55,  6, 71,112, 89,117,158,
2689         207,163, 30, 67)(  5,143,124, 87,153,170,205, 19, 36, 70, 76, 83,116,
2690         194,201,168, 66, 37)(  7, 32,214, 94, 84, 44,182,203,132, 54, 39,149,
2691         137,121, 15,177,172, 97)(  8,212,202, 96, 48, 38,185,131,126, 51,147,
2692         173,133, 13, 33,178,100, 79)( 10,104,190, 92,192, 56,186, 59,114, 53,
2693         111,161,135,157, 27,175, 28,103)( 11,140,196, 93,156, 62,181, 23,144,
2694         52, 75,155,134,193, 21,180, 64, 73)( 16,105,154, 98,187, 20,216, 58,
2695          78, 47,110,197,129,162, 63,145, 29,139)( 17,141,160, 99,151, 26,211,
2696         22,108, 46, 74,191,128,198, 57,150, 65,109)( 25, 31, 34,106, 82, 80,
2697         188,200,204, 60, 42, 41,113,125,123,159,171,169) ] ],
2698[ 8, 1119744000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2699  "Alt(6)^3.Sym(4)", [ "A", 6, 3 ],
2700  [ (  1,129,216,  2,123,108,  5,117,180)(  3,141, 36)(  4,135, 72)
2701        (  6,111,144)(  7,165,211, 20,195,104, 17, 81,179)(  8,159,103, 23,
2702         189,176, 13, 93,215)(  9,177, 31, 21,213, 32, 15,105, 35)
2703        ( 10,171, 67, 22,207, 68, 16, 99, 71)( 11,153,175, 19,201,212, 14, 87,
2704         107)( 12,147,139, 24,183,140, 18, 75,143)( 25, 57,214, 26, 51,106,
2705          29, 45,178)( 27, 69, 34)( 28, 63, 70)( 30, 39,142)( 37,130,210, 38,
2706         124,102, 41,118,174)( 40,136, 66)( 42,112,138)( 43,166,205, 56,196,
2707          98, 53, 82,173)( 44,160, 97, 59,190,170, 49, 94,209)
2708        ( 46,172, 61, 58,208, 62, 52,100, 65)( 47,154,169, 55,202,206, 50, 88,
2709         101)( 48,148,133, 60,184,134, 54, 76,137)( 73,131,192,146,121, 96,
2710         185,116,162)( 74,125, 84,149,115,168,181,128,198)( 77,119,156,145,
2711         127,204,182,122, 90)( 78,113,120,150,109,132,186,110,126)
2712        ( 79,167,187,164,193, 92,197, 80,161)( 83,155,151,163,199,200,194, 86,
2713         89)( 85, 95,191,152,157, 91,203,188,158),
2714      (  1, 67, 39,141,114,180,146,212,184,106, 77, 35)(  2,211, 40,105,113,
2715          36,145, 68,183,142, 78,179)(  3,139, 42,177,110,216,148,104,185, 34,
2716         73, 71)(  4,103, 41, 33,109, 72,147,140,186,178, 74,215)
2717        (  5, 31, 37, 69,111,144,150,176,182,214, 76,107)(  6,175, 38,213,112,
2718         108,149, 32,181, 70, 75,143)(  7, 61, 45,135,120,174,152,206,190,100,
2719         83, 29)(  8,205, 46, 99,119, 30,151, 62,189,136, 84,173)
2720        (  9,133, 48,171,116,210,154, 98,191, 28, 79, 65)( 10, 97, 47, 27,115,
2721         66,153,134,192,172, 80,209)( 11, 25, 43, 63,117,138,156,170,188,208,
2722          82,101)( 12,169, 44,207,118,102,155, 26,187, 64, 81,137)
2723        ( 13, 55, 51,129,126,168,158,200,196, 94, 89, 23)( 14,199, 52, 93,125,
2724         24,157, 56,195,130, 90,167)( 15,127, 54,165,122,204,160, 92,197, 22,
2725          85, 59)( 16, 91, 53, 21,121, 60,159,128,198,166, 86,203)
2726        ( 17, 19, 49, 57,123,132,162,164,194,202, 88, 95)( 18,163, 50,201,124,
2727         96,161, 20,193, 58, 87,131) ] ],
2728[ 9, 1119744000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2729  "Alt(6)^3.Sym(4)", [ "A", 6, 3 ],
2730  [ (  1,112,100, 91,128,170,175,143, 65, 49,126,210,187,117, 27)
2731        (  2,148,106, 95, 56,158,180,215, 47, 51, 18,186,190, 81, 21)
2732        (  3,  4, 76, 94, 92,164,176,179, 71, 53, 54,198,192,189,  9)
2733        (  5, 40, 88, 96,200,152,177, 35, 41, 52, 90,204,188,153, 33)
2734        (  6,184, 82, 93, 20,146,178,107, 59, 50,162,216,191, 45, 15)
2735        (  7,111, 28, 73,130, 98,163,140,173, 67,125, 66,193,120,207)
2736        (  8,147, 34, 77, 58, 86,168,212,155, 69, 17, 42,196, 84,201)
2737        ( 10, 75, 22, 74,166,104,167, 68,161, 72,197, 48,195, 12,183)
2738        ( 11, 39, 16, 78,202, 80,165, 32,149, 70, 89, 60,194,156,213)
2739        ( 13,114,208, 79,129, 26,145,142,101, 55,122,174,211,119, 63)
2740        ( 14,150,214, 83, 57)( 19,110,172,103,131, 62,157,144,209, 43,123, 30,
2741         181,118, 99)( 23, 38,160,108,203, 44,159, 36,185, 46, 87, 24,182,154,
2742         105)( 25,109,136, 97,127,134,169,139,137, 61,121,138,205,115,135)
2743        ( 29, 37,124,102,199,116,171, 31,113, 64, 85,132,206,151,141),
2744      (  1,168,187, 78,175, 12, 91,216)(  2,167,190, 75,176, 11, 94,213)
2745        (  3,164,191, 76,177,  8, 95,214)(  4,165,188, 77,178,  9, 92,215)
2746        (  5,166,189, 74,179, 10, 93,212)(  6,163,192, 73,180,  7, 96,211)
2747        ( 13,132,193,114,157,120, 85,144)( 14,131,196,111,158,119, 88,141)
2748        ( 15,128,197,112,159,116, 89,142)( 16,129,194,113,160,117, 86,143)
2749        ( 17,130,195,110,161,118, 87,140)( 18,127,198,109,162,115, 90,139)
2750        ( 19,204,181,150,151, 84,103, 36)( 20,203,184,147,152, 83,106, 33)
2751        ( 21,200,185,148,153, 80,107, 34)( 22,201,182,149,154, 81,104, 35)
2752        ( 23,202,183,146,155, 82,105, 32)( 24,199,186,145,156, 79,108, 31)
2753        ( 25, 60,205, 42,169, 48, 97, 72)( 26, 59,208, 39,170, 47,100, 69)
2754        ( 27, 56,209, 40,171, 44,101, 70)( 28, 57,206, 41,172, 45, 98, 71)
2755        ( 29, 58,207, 38,173, 46, 99, 68)( 30, 55,210, 37,174, 43,102, 67)
2756        ( 49,138)( 50,137, 52,135)( 51,134, 53,136)( 54,133)( 61, 66)
2757        ( 62, 65, 64, 63)(121,126)(122,125,124,123) ] ],
2758[ 10, 2239488000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2759  "Sym(6) wreath Sym(3)", [ "A", 6, 3 ],
2760  [ (  1, 26, 12, 23, 34, 15)(  2,  8, 11, 35, 33,  3)(  4, 14,  7, 29, 36, 21
2761         )(  5, 32,  9)(  6, 20, 10, 17, 31, 27)( 13, 25, 30, 24, 22, 16)
2762        ( 18, 19, 28)( 37, 62, 48, 59, 70, 51)( 38, 44, 47, 71, 69, 39)
2763        ( 40, 50, 43, 65, 72, 57)( 41, 68, 45)( 42, 56, 46, 53, 67, 63)
2764        ( 49, 61, 66, 60, 58, 52)( 54, 55, 64)( 73,170,192,131,106,159,181,
2765         134, 84,167,214,123)( 74,152,191,143,105,147,182,116, 83,179,213,111)
2766        ( 75,146,188,119,107,177,183,110, 80,155,215,141)( 76,158,187,137,108,
2767         165,184,122, 79,173,216,129)( 77,176,189,113,104,153,185,140, 81,149,
2768         212,117)( 78,164,190,125,103,171,186,128, 82,161,211,135)
2769        ( 85,169,210,132, 94,160,193,133,102,168,202,124)( 86,151,209,144, 93,
2770         148,194,115,101,180,201,112)( 87,145,206,120, 95,178,195,109, 98,156,
2771         203,142)( 88,157,205,138, 96,166,196,121, 97,174,204,130)
2772        ( 89,175,207,114, 92,154,197,139, 99,150,200,118)( 90,163,208,126, 91,
2773         172,198,127,100,162,199,136),
2774      (  1, 51, 94,156,110, 65,214,  7,123, 95,180,  2, 63,202,151,122,101,216
2775         )(  3, 57,166,152,134,209,211, 13, 87, 96,150, 38, 64,190,115,125,
2776         107, 36)(  4, 45,130,155,140, 29,213, 19,159, 92,174,182, 61,196, 79,
2777         126, 77, 72)(  5, 69, 22,153,128,173,212, 25,195, 91,162, 74, 66,184,
2778         43,124, 83,144)(  6, 39, 58,154,116,137,215, 31, 15, 93,168,146, 62,
2779         208,187,121, 89,108)(  8,135,203,175, 14, 99,204,145, 50,100,192,109,
2780         53,106, 12,111, 59,178)(  9,129,167,176, 26,207,199,157, 86,102,186,
2781          37, 52, 82,120,113, 71, 34)( 10,117,131,179, 32, 27,201,163,158, 98,
2782         210,181, 49, 88, 84,114, 41, 70)( 11,141, 23,177, 20,171,200,169,194,
2783         97,198, 73, 54, 76, 48,112, 47,142)( 16, 81,132,149, 68, 28,189,127,
2784         161,104, 30,183, 55,160, 80,138,185, 67)( 17,105, 24,147, 56,172,188,
2785         133,197,103, 18, 75, 60,148, 44,136,191,139)( 21,165,164,170,206,205,
2786         193, 85, 90, 78, 42, 40, 46,118,119,143, 35, 33) ] ],
2787[ 11, 648000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2788  "Alt(5) wreath Alt(3)", [ "A", 5, 3 ],
2789  [ (  1, 73,109,181,145)(  2, 77,110,185,146,  5, 74,113,182,149)
2790        (  3, 76,111,184,147,  4, 75,112,183,148)(  6, 78,114,186,150)
2791        (  7, 91,115,199,151, 19, 79,127,187,163)(  8, 95,116,203,152, 23, 80,
2792         131,188,167)(  9, 94,117,202,153, 22, 81,130,189,166)
2793        ( 10, 93,118,201,154, 21, 82,129,190,165)( 11, 92,119,200,155, 20, 83,
2794         128,191,164)( 12, 96,120,204,156, 24, 84,132,192,168)
2795        ( 13,103,121,211,157, 31, 85,139,193,175)( 14,107,122,215,158, 35, 86,
2796         143,194,179)( 15,106,123,214,159, 34, 87,142,195,178)
2797        ( 16,105,124,213,160, 33, 88,141,196,177)( 17,104,125,212,161, 32, 89,
2798         140,197,176)( 18,108,126,216,162, 36, 90,144,198,180)
2799        ( 25, 97,133,205,169)( 26,101,134,209,170, 29, 98,137,206,173)
2800        ( 27,100,135,208,171, 28, 99,136,207,172)( 30,102,138,210,174)
2801        ( 38, 41)( 39, 40)( 43, 55)( 44, 59)( 45, 58)( 46, 57)( 47, 56)
2802        ( 48, 60)( 49, 67)( 50, 71)( 51, 70)( 52, 69)( 53, 68)( 54, 72)
2803        ( 62, 65)( 63, 64), (  1,178, 97,164, 66,116, 51, 11,213)
2804        (  2, 70, 79,165, 30,140, 49,155,207)(  3, 34,103,163,174,134, 50, 47,
2805         189)(  4,106, 91,168,138,122, 53,191,183)(  5,214, 73,166,102,128,
2806          54,119,195)(  6,142, 85,167,210,110, 52, 83,201)(  7,177, 25,176,
2807          61,152, 63,  8, 69)(  9, 33, 31,175,169,170, 62, 44, 45)
2808        ( 10,105, 19,180,133,158, 65,188, 39)( 12,141, 13,179,205,146, 64, 80,
2809         57)( 14, 71,187,147, 28,104, 55,156,135)( 15, 35,211,145,172, 98, 56,
2810         48,117)( 16,107,199,150,136, 86, 59,192,111)( 17,215,181,148,100, 92,
2811         60,120,123)( 18,143,193,149,208, 74, 58, 84,129)( 20, 72,115,159, 29,
2812         212, 37,154, 99)( 21, 36,139,157,173,206, 38, 46, 81)
2813        ( 22,108,127,162,137,194, 41,190, 75)( 23,216,109,160,101,200, 42,118,
2814         87)( 24,144,121,161,209,182, 40, 82, 93)( 26, 68, 43,153, 27, 32, 67,
2815         151,171)( 76, 94, 96,132,126,125,197,185,184)( 77,202, 78,130, 90,
2816         131,198,113,196)( 88, 95,204,114,124, 89,203,186,112) ] ],
2817[ 12, 1296000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2818  "Alt(5)^3.6", [ "A", 5, 3 ],
2819  [ (  1,205, 30, 31,169, 26, 19, 97, 28,  7,133, 27, 13, 61, 29)
2820        (  2,199,102, 34,151,134, 21, 85, 64, 11,109,207, 18, 67,173)
2821        (  3,193, 66, 35,145,206, 24,103,172,  8,127, 99, 16, 43,137)
2822        (  4,187,138, 33,157, 62, 23, 73,208, 12,139,171, 14, 55,101)
2823        (  5,181,210, 36,175,170, 20, 91,100, 10,115,135, 15, 49, 65)
2824        (  6,211,174, 32,163, 98, 22, 79,136,  9,121, 63, 17, 37,209)
2825        ( 38,203, 78,214,156,140,165, 86, 58, 83,112,189,126, 69,161)
2826        ( 39,197, 42,215,150,212,168,104,166, 80,130, 81,124, 45,125)
2827        ( 40,191,114,213,162, 68,167, 74,202, 84,142,153,122, 57, 89)
2828        ( 41,185,186,216,180,176,164, 92, 94, 82,118,117,123, 51, 53)
2829        ( 44,131, 75,196, 48,143,147,194, 60,107,148,188,132,105,160)
2830        ( 46,119,111,195, 54, 71,149,182,204,108,178,152,128, 93, 88)
2831        ( 47,113,183,198, 72,179,146,200, 96,106,154,116,129, 87, 52)
2832        ( 50, 59, 77,184,192,144,177,158, 56, 95, 76,190,120,141,159)
2833        ( 70,155,110,201, 90),
2834      (  1,122, 46,105,205,164,  4,123, 43,104,208,165)(  2,124, 45,103,206,
2835         166,  3,121, 44,106,207,163)(  5,125, 47,107,209,167)
2836        (  6,126, 48,108,210,168)(  7,140, 64, 93,181,158, 10,141, 61, 92,184,
2837         159)(  8,142, 63, 91,182,160,  9,139, 62, 94,183,157)
2838        ( 11,143, 65, 95,185,161)( 12,144, 66, 96,186,162)( 13,116, 70, 99,
2839         199,146, 16,117, 67, 98,202,147)( 14,118, 69, 97,200,148, 15,115, 68,
2840         100,201,145)( 17,119, 71,101,203,149)( 18,120, 72,102,204,150)
2841        ( 19,110, 52, 81,211,170, 22,111, 49, 80,214,171)( 20,112, 51, 79,212,
2842         172, 21,109, 50, 82,213,169)( 23,113, 53, 83,215,173)
2843        ( 24,114, 54, 84,216,174)( 25,128, 40, 87,187,176, 28,129, 37, 86,190,
2844         177)( 26,130, 39, 85,188,178, 27,127, 38, 88,189,175)
2845        ( 29,131, 41, 89,191,179)( 30,132, 42, 90,192,180)( 31,134, 58, 75,
2846         193,152, 34,135, 55, 74,196,153)( 32,136, 57, 73,194,154, 33,133, 56,
2847         76,195,151)( 35,137, 59, 77,197,155)( 36,138, 60, 78,198,156) ] ],
2848[ 13, 1296000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2849  "Alt(5) wreath Sym(3)", [ "A", 5, 3 ],
2850  [ (  1, 51,132,152, 97, 17,141,200,172)(  2, 63, 24,153, 91,161,139,194,136)
2851        (  3, 57,168,151, 85,125,140,206, 28)(  4, 39, 60,156, 79, 89,143,212,
2852         208)(  5, 69,204,154, 73, 53,144,188,100)(  6, 45, 96,155,103,197,
2853         142,182, 64)(  7, 87,131,176,205, 16,111, 56,174)(  8, 99, 23,177,
2854         199,160,109, 50,138)(  9, 93,167,175,193,124,110, 62, 30)
2855        ( 10, 75, 59,180,187, 88,113, 68,210)( 11,105,203,178,181, 52,114, 44,
2856         102)( 12, 81, 95,179,211,196,112, 38, 66)( 13,123,128,170, 25, 15,
2857         129,164,169)( 14,135, 20,171, 19,159,127,158,133)( 18,117, 92,173,
2858          31,195,130,146, 61)( 21,165,163,157,121,122,134, 26, 27)
2859        ( 22,147, 55,162,115, 86,137, 32,207)( 29, 33,201,166,145, 49,126,116,
2860         98)( 34,183, 58,150, 43, 90,119,104,209)( 35,213,202,148, 37, 54,120,
2861         80,101)( 36,189, 94,149, 67,198,118, 74, 65)( 40, 42, 48, 84, 83,107,
2862         215,214,184)( 41, 72,192, 82, 77, 71,216,190, 76)( 46, 78, 47,108,
2863         191,106,185, 70,186),
2864      (  1,203,135, 72, 82, 14,181,131, 63,108, 10,194,109, 59, 99, 36,190,
2865         122, 37, 95, 27,216,118, 50, 73, 23,207,144, 46, 86)(  2,185,137, 66,
2866         84,  8,182,113, 65,102, 12,188,110, 41,101, 30,192,116, 38, 77, 29,
2867         210,120, 44, 74,  5,209,138, 48, 80)(  3,215,136, 54, 79, 20,183,143,
2868         64, 90,  7,200,111, 71,100, 18,187,128, 39,107, 28,198,115, 56, 75,
2869          35,208,126, 43, 92)(  4,197,133, 60, 81, 32,184,125, 61, 96,  9,212,
2870         112, 53, 97, 24,189,140, 40, 89, 25,204,117, 68, 76, 17,205,132, 45,
2871         104)(  6,191,134, 42, 83, 26,186,119, 62, 78, 11,206,114, 47, 98)
2872        ( 13,199,129, 69,106, 16,193,127, 57,105, 34,196,121, 55, 93, 33,214,
2873         124, 49, 91, 21,213,142, 52, 85, 19,201,141, 70, 88)( 15,211,130, 51,
2874         103, 22,195,139, 58, 87, 31,202,123, 67, 94)(145,167,171,180,154,158)
2875        (146,149,173,174,156,152)(147,179,172,162,151,164)(148,161,169,168,
2876         153,176)(150,155,170)(157,163,165,177,178,160)(159,175,166) ] ],
2877[ 14, 1296000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2878  "Alt(5)^3.Sym(3)", [ "A", 5, 3 ],
2879  [ (  1, 72,197,  2, 69,196)(  3, 70,193,  6, 71,194)(  4, 67,198,  5, 68,195
2880         )(  7,144,209,146, 57, 88)(  8,141,208,145, 60, 89)(  9,142,205,150,
2881          59, 86)( 10,139,210,149, 56, 87)( 11,140,207,148, 55, 90)
2882        ( 12,143,206,147, 58, 85)( 13, 36,215,182, 39, 52)( 14, 33,214,181,
2883          42, 53)( 15, 34,211,186, 41, 50)( 16, 31,216,185, 38, 51)
2884        ( 17, 32,213,184, 37, 54)( 18, 35,212,183, 40, 49)( 19,108,191,110,
2885          63,160)( 20,105,190,109, 66,161)( 21,106,187,114, 65,158)
2886        ( 22,103,192,113, 62,159)( 23,104,189,112, 61,162)( 24,107,188,111,
2887          64,157)( 25,180,203, 74, 45,124)( 26,177,202, 73, 48,125)
2888        ( 27,178,199, 78, 47,122)( 28,175,204, 77, 44,123)( 29,176,201, 76,
2889          43,126)( 30,179,200, 75, 46,121)( 79,120,137,170,165, 94)
2890        ( 80,117,136,169,168, 95)( 81,118,133,174,167, 92)( 82,115,138,173,
2891         164, 93)( 83,116,135,172,163, 96)( 84,119,134,171,166, 91)
2892        ( 97,156,131, 98,153,130)( 99,154,127,102,155,128)(100,151,132,101,
2893         152,129), (  1, 72,196,173, 79, 32,204,125,153)(  2, 60,124,171, 73,
2894          68,202,137, 81)(  3, 42, 52,172, 97,104,200,131,117)
2895        (  4, 66, 88,170, 91,140,201,113, 45)(  5, 48, 16,174, 85,176,199,143,
2896         189)(  6, 54,160,169,103,212,203,119,  9)(  7, 36,198,161,151, 31,
2897         216,197,155)(  8, 24,126,159,145, 67,214,209, 83)( 10, 30, 90,158,
2898         163,139,213,185, 47)( 11, 12, 18,162,157,175,211,215,191)
2899        ( 13,180,193,179,187, 35,192, 17,156)( 14,168,121,177,181, 71,190, 29,
2900         84)( 15,150, 49,178,205,107,188, 23,120)( 19,144,195,149, 43, 34,210,
2901         89,152)( 20,132,123,147, 37, 70,208,101, 80)( 21,114, 51,148, 61,106,
2902         206, 95,116)( 22,138, 87,146, 55,142,207, 77, 44)( 25,108,194,167,
2903         115, 33,186, 53,154)( 26, 96,122,165,109, 69,184, 65, 82)
2904        ( 27, 78, 50,166,133,105,182, 59,118)( 28,102, 86,164,127,141,183, 41,
2905         46)( 38, 58,136, 99, 74, 56,130,135, 75)( 39, 40, 64,100, 98, 92,128,
2906         129,111)( 57,112, 63, 76, 62, 94,134, 93,110) ] ],
2907[ 15, 2592000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2908  "Alt(5)^3.Alt(4)", [ "A", 5, 3 ],
2909  [ (  1, 55, 13, 67,  7, 37, 19, 49, 31, 43)(  2, 58, 18, 71,  8, 40, 24, 53,
2910         32, 46,  6, 59, 14, 70, 12, 41, 20, 52, 36, 47)(  3, 57, 15, 69,  9,
2911          39, 21, 51, 33, 45)(  4, 60, 17, 68, 10, 42, 23, 50, 34, 48,  5, 56,
2912         16, 72, 11, 38, 22, 54, 35, 44)( 25, 61)( 26, 64, 30, 65)( 27, 63)
2913        ( 28, 66, 29, 62)( 73,199, 85,211, 79,181, 91,193,103,187)
2914        ( 74,202, 90,215, 80,184, 96,197,104,190, 78,203, 86,214, 84,185, 92,
2915         196,108,191)( 75,201, 87,213, 81,183, 93,195,105,189)
2916        ( 76,204, 89,212, 82,186, 95,194,106,192, 77,200, 88,216, 83,182, 94,
2917         198,107,188)( 97,205)( 98,208,102,209)( 99,207)(100,210,101,206)
2918        (109,163,121,175,115,145,127,157,139,151)(110,166,126,179,116,148,132,
2919         161,140,154,114,167,122,178,120,149,128,160,144,155)(111,165,123,177,
2920         117,147,129,159,141,153)(112,168,125,176,118,150,131,158,142,156,113,
2921         164,124,180,119,146,130,162,143,152)(133,169)(134,172,138,173)
2922        (135,171)(136,174,137,170),
2923      (  1,170, 78, 14, 99,126,  9,136, 48, 22, 65,204, 35,205,180)
2924        (  2, 98, 90, 15,135,120, 10, 64, 60, 23,209,216, 31,169,150)
2925        (  3,134, 84, 16, 63,132, 11,208, 72, 19,173,186, 32, 97,162)
2926        (  4, 62, 96, 17,207,144,  7,172, 42, 20,101,198, 33,133,156)
2927        (  5,206,108, 13,171,114,  8,100, 54, 21,137,192, 34, 61,168)
2928        (  6, 26,102, 18, 27,138, 12, 28, 66, 24, 29,210, 36, 25,174)
2929        ( 37,164, 77,194,105,121,153,112, 44, 94, 53,201,143,187,178)
2930        ( 38, 92, 89,195,141,115,154, 40, 56, 95,197,213,139,151,148)
2931        ( 39,128, 83,196, 69,127,155,184, 68, 91,161,183,140, 79,160)
2932        ( 41,200,107,193,177,109,152, 76, 50, 93,125,189,142, 43,166)
2933        ( 45,130, 47,202, 71,199,179,181,176, 73,158, 75,122, 81,124)
2934        ( 46, 58, 59,203,215,211,175,145,146, 74, 86, 87,123,117,118)
2935        ( 49,165,113,188,106)( 51,129,119,190, 70, 55,167,185,212,103,157,147,
2936         110, 80, 88)( 52, 57,131,191,214, 67,163,149,182,104, 85,159,111,116,
2937         82) ] ],
2938[ 16, 2592000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2939  "Alt(5)^3.D_12", [ "A", 5, 3 ],
2940  [ (  1, 44, 93, 36, 65, 88)(  2, 56, 96, 30, 64, 76)(  3, 68, 95, 18, 61, 82
2941         )(  4, 38, 92, 24, 66,100)(  5, 50, 91, 12, 63,106)(  6, 62, 94)
2942        (  7, 45,105, 35, 53, 85)(  8, 57,108, 29, 52, 73)(  9, 69,107, 17,
2943          49, 79)( 10, 39,104, 23, 54, 97)( 11, 51,103)( 13, 43, 81, 33, 71,
2944          89)( 14, 55, 84, 27, 70, 77)( 15, 67, 83)( 16, 37, 80, 21, 72,101)
2945        ( 19, 48, 99, 34, 41, 86)( 20, 60,102, 28, 40, 74)( 22, 42, 98)
2946        ( 25, 46, 75, 32, 59, 90)( 26, 58, 78)( 31, 47, 87)(109,188,165,144,
2947         209,160)(110,200,168,138,208,148)(111,212,167,126,205,154)
2948        (112,182,164,132,210,172)(113,194,163,120,207,178)(114,206,166)
2949        (115,189,177,143,197,157)(116,201,180,137,196,145)(117,213,179,125,
2950         193,151)(118,183,176,131,198,169)(119,195,175)(121,187,153,141,215,
2951         161)(122,199,156,135,214,149)(123,211,155)(124,181,152,129,216,173)
2952        (127,192,171,142,185,158)(128,204,174,136,184,146)(130,186,170)
2953        (133,190,147,140,203,162)(134,202,150)(139,191,159),
2954      (  1,182,192, 90,123,127)(  2,188, 84, 87,129, 19)(  3,200, 12, 86,117,
2955          91)(  4,206, 48, 89,141,163)(  5,212,156, 88,135, 55)
2956        (  6,194,120, 85,111,199)(  7, 74,189, 96, 15,128)(  8, 80, 81, 93,
2957          21, 20)(  9, 92)( 10, 98, 45, 95, 33,164)( 11,104,153, 94, 27, 56)
2958        ( 13,110,187, 78,195,132)( 14,116, 79, 75,201, 24)( 16,134, 43, 77,
2959         213,168)( 17,140,151, 76,207, 60)( 18,122,115, 73,183,204)
2960        ( 22, 26, 44, 83,105,165)( 23, 32,152, 82, 99, 57)( 25, 38,191,108,
2961         159,130)( 28, 62, 47,107,177,166)( 29, 68,155,106,171, 58)
2962        ( 30, 50,119,103,147,202)( 31,146,190,102, 51,131)( 34,170, 46,101,
2963          69,167)( 35,176,154,100, 63, 59)( 36,158,118, 97, 39,203)
2964        ( 37,185,216,162,124,133)( 40,209, 72,161,142,169)( 41,215,180,160,
2965         136, 61)( 42,197,144,157,112,205)( 49,113,211,150,196,138)
2966        ( 52,137, 67,149,214,174)( 53,143,175,148,208, 66)( 54,125,139,145,
2967         184,210)( 64, 65, 71,179,178,172)( 70,173)(109,181,186,198,126,121)
2968        (114,193) ] ],
2969[ 17, 5184000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2970  "Sym(5) wreath Alt(3)", [ "A", 5, 3 ],
2971  [ (  1,158, 10, 85,178, 83,139,167,117, 55,147, 44)(  2, 14, 16, 88,106,107,
2972         143,131,129, 57, 39, 38)(  3, 50,  4, 86, 34, 89,142, 95,141, 59,111,
2973         56)(  5,122, 22, 87, 70, 77,140, 23,123, 58, 75, 68)(  6,194, 28, 90,
2974         214,101,144,203,135, 60,183, 62)(  7,157,154, 79,175,155,115,163,153,
2975         43,145,152)(  8, 13,160, 82,103,179,119,127,165, 45, 37,146)
2976        (  9, 49,148, 80, 31,161,118, 91,177, 47,109,164)( 11,121,166, 81, 67,
2977         149,116, 19,159, 46, 73,176)( 12,193,172, 84,211,173,120,199,171, 48,
2978         181,170)( 15, 52, 76,104, 35,125,130, 93, 69, 41,110, 20)
2979        ( 17,124, 94,105, 71,113,128, 21, 51, 40, 74, 32)( 18,196,100,108,215,
2980         137,132,201, 63, 42,182, 26)( 24,195, 64, 78,212, 29,126,202, 99, 72,
2981         185,134)( 25,162,190, 97,180,191,133,168,189, 61,150,188)
2982        ( 27, 54,184, 98, 36,197,136, 96,213, 65,114,200)( 30,198,208,102,216,
2983         209,138,204,207, 66,186,206)( 33, 53,112, 92)(156,187,169)
2984        (174,192,205), (  1, 57,120,157,213, 30, 37,129,156,193, 33, 66,109,
2985         165,192, 13, 69,138,145,201, 12, 49,141,174,181, 21, 48,121,177,210)
2986        (  2, 59,118,158,215, 28, 38,131,154,194, 35, 64,110,167,190, 14, 71,
2987         136,146,203, 10, 50,143,172,182, 23, 46,122,179,208)(  3, 60,115,159,
2988         216, 25, 39,132,151,195, 36, 61,111,168,187, 15, 72,133,147,204,  7,
2989          51,144,169,183, 24, 43,123,180,205)(  4, 56,119,160,212, 29, 40,128,
2990         155,196, 32, 65,112,164,191, 16, 68,137,148,200, 11, 52,140,173,184,
2991          20, 47,124,176,209)(  5, 58,116,161,214, 26, 41,130,152,197, 34, 62,
2992         113,166,188, 17, 70,134,149,202,  8, 53,142,170,185, 22, 44,125,178,
2993         206)(  6, 55,117,162,211, 27, 42,127,153,198, 31, 63,114,163,189, 18,
2994         67,135,150,199,  9, 54,139,171,186, 19, 45,126,175,207)
2995        ( 73, 93, 84, 85,105,102)( 74, 95, 82, 86,107,100)( 75, 96, 79, 87,
2996         108, 97)( 76, 92, 83, 88,104,101)( 77, 94, 80, 89,106, 98)
2997        ( 78, 91, 81, 90,103, 99) ] ],
2998[ 18, 5184000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
2999  "Alt(5)^3.Sym(4)", [ "A", 5, 3 ],
3000  [ (  1,132, 64,187,111,102, 67,116,171, 85,143, 26,163,124,209)
3001        (  2,168, 52,191,  3, 96, 70,188,147, 90, 71,  8,165, 88,215)
3002        (  4,204, 40,192, 39, 84, 69, 80,177, 86,179, 14,167, 16,203)
3003        (  5, 24, 58,190,183, 78, 72, 44,153, 87,107, 32,164,160,197)
3004        (  6, 60, 46,189, 75,108, 68,152,159, 89, 35, 20,166,196,185)
3005        (  7,129,100,211,110,174, 49,119, 27, 91,142,206,145,126, 65)
3006        (  9, 93,106,212,146,162, 53, 11, 21, 94,214,182,150, 54, 47)
3007        ( 10,201, 76,216, 38,156, 51, 83, 33, 92,178,194,149, 18, 59)
3008        ( 12, 57, 82,213, 74,180, 50,155, 15, 95, 34,200,148,198, 41)
3009        ( 13,131, 28,199,112,210, 37,120, 63, 79,141, 98,175,122,173)
3010        ( 17, 23, 22,202,184,186, 42, 48, 45, 81,105,104,176,158,161)
3011        ( 19,130,208,181,114, 66, 43,117, 99,103,140,170,157,125, 29)
3012        ( 25,127,136,205,109,138, 61,115,135, 97,139,134,169,121,137)
3013        ( 30, 55,118,207, 73,144, 62,151,123,101, 31,128,172,193,113)
3014        ( 36, 56,154,195, 77),
3015      (  1,  4)(  5,  6)(  7, 76, 13,148, 31,184, 19, 40, 25,112)
3016        (  8, 74, 14,146, 32,182, 20, 38, 26,110)(  9, 75, 15,147, 33,183, 21,
3017         39, 27,111)( 10, 73, 16,145, 34,181, 22, 37, 28,109)( 11, 78, 17,150,
3018         35,186, 23, 42, 29,114)( 12, 77, 18,149, 36,185, 24, 41, 30,113)
3019        ( 43,100,121,154,103,196,163, 70,205,130)( 44, 98,122,152,104,194,164,
3020         68,206,128)( 45, 99,123,153,105,195,165, 69,207,129)( 46, 97,124,151,
3021         106,193,166, 67,208,127)( 47,102,125,156,107,198,167, 72,209,132)
3022        ( 48,101,126,155,108,197,168, 71,210,131)( 49,172,139,190, 91, 52,169,
3023         142,187, 94)( 50,170,140,188, 92)( 51,171,141,189, 93)
3024        ( 53,174,143,192, 95, 54,173,144,191, 96)( 55, 64,133,118, 79, 88,157,
3025         178,211,202)( 56, 62,134,116, 80, 86,158,176,212,200)
3026        ( 57, 63,135,117, 81, 87,159,177,213,201)( 58, 61,136,115, 82, 85,160,
3027         175,214,199)( 59, 66,137,120, 83, 90,161,180,215,204)
3028        ( 60, 65,138,119, 84, 89,162,179,216,203) ] ],
3029[ 19, 5184000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
3030  "Alt(5)^3.Sym(4)", [ "A", 5, 3 ],
3031  [ (  1, 24, 33,  4, 12, 31, 22,  9)(  2, 30, 32, 28,  8, 25, 20, 27)
3032        (  3,  6, 36, 34, 10,  7, 19, 21)(  5, 18, 35, 16, 11, 13, 23, 15)
3033        ( 14, 29)( 37,132, 69,112, 48,139, 58,117)( 38,138, 68,136, 44,133,
3034          56,135)( 39,114, 72,142, 46,115, 55,129)( 40,120, 67,130, 45,109,
3035          60,141)( 41,126, 71,124, 47,121, 59,123)( 42,144, 70,118, 43,127,
3036          57,111)( 49,131, 51,113, 54,143, 52,119)( 50,137)( 53,125)
3037        ( 61,128, 63,110, 66,140, 64,116)( 62,134)( 65,122)( 73,204,105,184,
3038          84,211, 94,189)( 74,210,104,208, 80,205, 92,207)( 75,186,108,214,
3039          82,187, 91,201)( 76,192,103,202, 81,181, 96,213)( 77,198,107,196,
3040          83,193, 95,195)( 78,216,106,190, 79,199, 93,183)( 85,203, 87,185,
3041          90,215, 88,191)( 86,209)( 89,197)( 97,200, 99,182,102,212,100,188)
3042        ( 98,206)(101,194)(145,168,177,148,156,175,166,153)(146,174,176,172,
3043         152,169,164,171)(147,150,180,178,154,151,163,165)(149,162,179,160,
3044         155,157,167,159)(158,173), (  1, 84,148, 44,111,  7, 78,154, 38,117)
3045        (  2,120,145, 80,112, 43, 75, 10, 42,153)(  3, 12,150,152,110,115, 73,
3046         82, 40, 45)(  4, 48,147,  8,114,151, 74,118, 37, 81)(  5,192,149,188,
3047         113,187, 77,190, 41,189)(  6,156,146,116,109, 79, 76, 46, 39,  9)
3048        ( 11,186,155,182,119,181, 83,184, 47,183)( 13, 96,160, 56,123, 19, 90,
3049         166, 50,129)( 14,132,157, 92,124, 55, 87, 22, 54,165)
3050        ( 15, 24,162,164,122,127, 85, 94, 52, 57)( 16, 60,159, 20,126,163, 86,
3051         130, 49, 93)( 17,204,161,200,125,199, 89,202, 53,201)
3052        ( 18,168,158,128,121, 91, 88, 58, 51, 21)( 23,198,167,194,131,193, 95,
3053         196, 59,195)( 25,108,172, 68,135, 31,102,178, 62,141)
3054        ( 26,144,169,104,136, 67, 99, 34, 66,177)( 27, 36,174,176,134,139, 97,
3055         106, 64, 69)( 28, 72,171, 32,138,175, 98,142, 61,105)
3056        ( 29,216,173,212,137,211,101,214, 65,213)( 30,180,170,140,133,103,100,
3057         70, 63, 33)( 35,210,179,206,143,205,107,208, 71,207)(185,191)
3058        (197,203)(209,215) ] ],
3059[ 20, 10368000, 0, "4c", [ [ 15, 1 ], [ 125, 1 ], [ 75, 1 ] ], 1,
3060  "Sym(5) wreath Sym(3)", [ "A", 5, 3 ],
3061  [ (  1,121,130, 34, 25,109,124, 22, 31,133,112, 16, 19,139,136,  4, 13,127,
3062         142, 28)(  2, 85,131,178, 26, 73,125,166, 32, 97,113,160, 20,103,137,
3063         148, 14, 91,143,172)(  3, 49,132,214, 27, 37,126,202, 33, 61,114,196,
3064         21, 67,138,184, 15, 55,144,208)(  5,157,128,106, 29,145,122, 94, 35,
3065         169,110, 88, 23,175,134, 76, 17,163,140,100)(  6,193,129, 70, 30,181,
3066         123, 58, 36,205,111, 52, 24,211,135, 40, 18,199,141, 64)
3067        (  7,115,118, 10)(  8, 79,119,154)(  9, 43,120,190)( 11,151,116, 82)
3068        ( 12,187,117, 46)( 38, 90,203,177, 62, 78,197,165, 68,102,185,159, 56,
3069         108,209,147, 50, 96,215,171)( 39, 54,204,213, 63, 42,198,201, 69, 66,
3070         186,195, 57, 72,210,183, 51, 60,216,207)( 41,162,200,105, 65,150,194,
3071         93, 71,174,182, 87, 59,180,206, 75, 53,168,212, 99)( 44, 84,191,153)
3072        ( 45, 48,192,189)( 47,156,188, 81)( 74, 89,167,176, 98, 77,161,164,
3073         104,101,149,158, 92,107,173,146, 86, 95,179,170)( 80, 83,155,152),
3074      (  1,176, 91, 33,151,108, 25,178, 85, 35,145,104, 19,177, 79, 36,169,
3075         106, 13,179, 73, 32,163,105,  7,180, 97, 34,157,107)(  2,164, 93,  9,
3076         156,102, 28,160, 89,  5,146, 92, 21,153, 84, 30,172, 88, 17,149, 74,
3077          20,165, 81, 12,174,100, 16,161, 77)(  3,152, 96, 27,154, 90, 29,148,
3078         86, 23,147, 80, 24,171, 82, 18,173, 76, 14,167, 75,  8,168, 99, 10,
3079         162,101,  4,158, 95)(  6,170, 94, 15,155, 78, 26,166, 87, 11,150, 98,
3080         22,159, 83)( 31,175,103)( 37,140,199, 69,115,216, 61,142,193, 71,109,
3081         212, 55,141,187, 72,133,214, 49,143,181, 68,127,213, 43,144,205, 70,
3082         121,215)( 38,128,201, 45,120,210, 64,124,197, 41,110,200, 57,117,192,
3083         66,136,196, 53,113,182, 56,129,189, 48,138,208, 52,125,185)
3084        ( 39,116,204, 63,118,198, 65,112,194, 59,111,188, 60,135,190, 54,137,
3085         184, 50,131,183, 44,132,207, 46,126,209, 40,122,203)( 42,134,202, 51,
3086         119,186, 62,130,195, 47,114,206, 58,123,191)( 67,139,211) ] ],
3087[21, Factorial(216)/2,1,"2",[[215,1]],214, "Alt(216)", ["A",216, 1], "Alt"],
3088[22, Factorial(216),0,"2",[[215, 1]],216, "Sym(216)", ["A",216, 1], "Sym"]];
3089PRIMGRP[217]:=
3090[[1, Factorial(217)/2,1,"2",[[216,1]],215, "Alt(217)", ["A",217, 1], "Alt"],
3091[2, Factorial(217),0,"2",[[216, 1]],217, "Sym(217)", ["A",217, 1], "Sym"]];
3092PRIMGRP[218]:=
3093[[1, Factorial(218)/2,1,"2",[[217,1]],216, "Alt(218)", ["A",218, 1], "Alt"],
3094[2, Factorial(218),0,"2",[[217, 1]],218, "Sym(218)", ["A",218, 1], "Sym"]];
3095PRIMGRP[219]:=
3096[[1, Factorial(219)/2,1,"2",[[218,1]],217, "Alt(219)", ["A",219, 1], "Alt"],
3097[2, Factorial(219),0,"2",[[218, 1]],219, "Sym(219)", ["A",219, 1], "Sym"]];
3098PRIMGRP[220]:=
3099[[ 1, 95040, 1, "2", [ [ 12, 1 ], [ 27, 1 ], [ 72, 1 ], [ 108, 1 ] ], 1,
3100  "M_12", [ "Spor", "M(12)", 1 ],
3101  [ (  1,  2)(  3,  5)(  4,  7)(  6, 10)(  8, 11)(  9, 12)( 13, 17)( 14, 18)
3102        ( 15, 20)( 16, 22)( 19, 26)( 21, 28)( 23, 30)( 24, 31)( 25, 33)
3103        ( 27, 35)( 29, 38)( 32, 42)( 34, 44)( 36, 45)( 37, 46)( 39, 49)
3104        ( 40, 50)( 41, 52)( 43, 55)( 47, 60)( 48, 61)( 51, 65)( 53, 67)
3105        ( 54, 68)( 56, 71)( 57, 72)( 58, 73)( 59, 75)( 62, 79)( 63, 80)
3106        ( 64, 82)( 66, 85)( 69, 81)( 70, 89)( 74, 94)( 76, 95)( 77, 96)
3107        ( 78, 98)( 83,103)( 84,104)( 86,107)( 87,108)( 88,110)( 90,113)
3108        ( 91,114)( 92,116)( 93,118)( 97,122)( 99,101)(100,123)(102,126)
3109        (105,129)(106,130)(109,133)(111,135)(112,125)(115,139)(117,141)
3110        (119,143)(120,144)(121,140)(124,148)(127,150)(128,147)(131,154)
3111        (132,155)(134,157)(136,160)(137,161)(138,162)(142,166)(145,156)
3112        (146,170)(149,172)(151,173)(152,174)(153,176)(158,181)(159,182)
3113        (163,185)(164,187)(165,168)(167,188)(169,190)(171,189)(175,196)
3114        (177,197)(178,198)(179,199)(180,200)(183,193)(184,195)(186,203)
3115        (191,206)(192,207)(194,201)(202,212)(204,213)(205,214)(208,217)
3116        (209,218)(210,219)(211,220)(215,216),
3117      (  1,  3,  6)(  2,  4,  8)(  5,  9, 13)( 10, 14, 19)( 11, 15, 21)
3118        ( 12, 16, 23)( 17, 24, 32)( 18, 25, 34)( 20, 27, 36)( 22, 29, 39)
3119        ( 28, 37, 47)( 30, 40, 51)( 31, 41, 53)( 33, 43, 56)( 35, 44, 57)
3120        ( 38, 48, 62)( 42, 54, 69)( 45, 58, 74)( 46, 59, 76)( 49, 63, 81)
3121        ( 50, 64, 83)( 52, 66, 86)( 55, 70, 90)( 60, 77, 97)( 61, 78, 99)
3122        ( 65, 84,105)( 67, 87,109)( 68, 88,111)( 71, 91,115)( 72, 92,117)
3123        ( 73, 93,119)( 79,100,124)( 80,101,125)( 82,102,127)( 85,106,131)
3124        ( 89,112,136)( 94,120,145)( 95,108,132)( 96,121,146)( 98,122,147)
3125        (103,114,138)(104,128,151)(107,113,137)(110,134,158)(116,140,164)
3126        (118,142,167)(123,126,149)(129,152,175)(130,153,177)(133,156,179)
3127        (135,159,183)(139,163,186)(141,165,181)(143,168,189)(144,169,191)
3128        (148,171,150)(154,155,178)(157,180,188)(160,184,202)(161,170,192)
3129        (162,174,195)(172,193,208)(173,194,209)(176,196,198)(182,201,212)
3130        (185,187,204)(190,205,199)(197,210,213)(200,211,218)(203,206,215)
3131        (207,216,219)(214,217,220) ] ],
3132[ 2, 239500800, 1, "2", [ [ 27, 1 ], [ 84, 1 ], [ 108, 1 ] ], 1, "Alt(12)",
3133  [ "A", 12, 1 ],
3134  [ (  1,  2,  4,  7, 11, 15, 22, 31, 45, 66)(  3,  5,  8, 12, 17, 25, 36, 52,
3135         74,102)(  6, 10, 13, 19, 28, 41, 60, 87,103,131)(  9, 14, 21, 30, 43,
3136         63, 91,118,143,160)( 16, 23, 33, 48, 62, 89,115,142, 32, 46)
3137        ( 18, 27, 39, 57, 82,111,137,155,171,188)( 20, 29, 42, 61, 88,114,141,
3138         159,176,193)( 24, 35, 51, 73, 90,117,133,148, 47, 68)
3139        ( 26, 38, 55, 79, 53, 76,105,121, 49, 70)( 34, 50, 71, 99,127,149,165,
3140         183,199,212)( 37, 54, 77,107,135,153,169,186,202,213)
3141        ( 40, 58, 84,113, 92,119,144,161,177, 98)( 44, 64, 93,101,129, 65, 95,
3142         123, 72,100)( 56, 80,109, 83,112,138,156,172,189,205)
3143        ( 59, 86,106,134,120,146,162,179,194,126)( 67, 96,124,145,163,181,197,
3144         180,196,211)( 69, 97,125,139,157,174,191,208,218,210)
3145        ( 75,104,132,152,168,185,201,206,216, 85)( 78,108,136,154,170,187,203,
3146         214, 81,110)( 94,122,147,164,182,198,173,190,207,217)
3147        (116,140,158,175,192,209,219,204,215,220)(128,150,166,130,151,167,184,
3148         200,178,195), (  1,  3,  6)(  5,  9, 10)(  8, 13, 20)( 11, 16, 24)
3149        ( 12, 18, 19)( 17, 26, 28)( 22, 32, 47)( 23, 34, 35)( 25, 37, 41)
3150        ( 27, 40, 59)( 30, 44, 65)( 33, 49, 51)( 36, 53, 60)( 38, 56, 81)
3151        ( 42, 62, 90)( 46, 67, 68)( 48, 69, 73)( 50, 72,101)( 52, 75, 87)
3152        ( 54, 78,109)( 57, 83,108)( 58, 85, 86)( 63, 92,120)( 64, 94, 95)
3153        ( 70, 98,126)( 74,103, 88)( 76,106, 84)( 79,110, 80)( 89,116,117)
3154        ( 93,121,123)(100,128,129)(102,130,131)(105,133,115)(112,139,136)
3155        (113,140,134)(119,145,146)(122,148,142)(138,154,149)(144,162,180)
3156        (156,173,170)(161,178,179)(172,187,204)(177,194,210)(189,206,203)
3157        (205,214,213) ] ],
3158[ 3, 479001600, 0, "2", [ [ 27, 1 ], [ 84, 1 ], [ 108, 1 ] ], 1, "Sym(12)",
3159  [ "A", 12, 1 ],
3160  [ (  1,  2,  4,  7, 10, 15, 23, 33, 31, 42, 52, 63)(  3,  6,  9, 14, 21, 30,
3161         41, 51, 35, 45, 55, 27)(  5,  8, 12, 18, 26, 37, 47, 58, 68, 79, 91,
3162         105)( 11, 17, 25, 36, 46, 57, 67, 77, 89, 86, 99,113)
3163        ( 13, 20, 29, 39, 49, 60, 71, 82, 95,109,124,138)( 16, 24, 34, 44)
3164        ( 19, 28, 38, 48, 59, 70, 81, 93,107,121,114,129)( 22, 32, 43, 54, 65,
3165         53, 64, 74, 62, 73, 85, 98)( 40, 50, 61, 72, 84, 69, 80, 92,106,120,
3166          56, 66)( 75, 87,100,115,130,143, 97,111,126,140,153,165)
3167        ( 76, 88,102,117,132,145, 83, 96,110,125,139,152)( 78, 90,103,118,133,
3168         146,112,127,141,154,166,177)( 94,108,122,136,147,160,128,142,155,167,
3169         178,187)(101,116,131,144,157,158,170,181,190,197,203,209)
3170        (104,119,134,148,161,156,168,179,188,195,201,207)(123,137,150,162,173,
3171         159,171,182,191,198,204,210)(135,149,163,174,169,180,189,196,202,208,
3172         213,216)(151,164,175,185,172,183,192,199,205,211,214,217)
3173        (176,186,194,184,193,200,206,212,215,218,219,220),
3174      (  1,  3)(  2,  5)(  7, 11)(  8, 13)( 10, 16)( 12, 19)( 14, 22)( 18, 27)
3175        ( 21, 31)( 24, 35)( 29, 40)( 42, 53)( 45, 56)( 50, 62)( 57, 68)
3176        ( 58, 69)( 64, 75)( 66, 76)( 67, 78)( 70, 82)( 71, 83)( 73, 86)
3177        ( 81, 94)( 84, 97)( 87,101)( 90,104)( 98,112)( 99,114)(100,102)
3178        (108,123)(113,128)(115,118)(119,135)(131,134)(133,147)(137,151)
3179        (143,156)(145,158)(146,159)(148,162)(157,169)(161,172)(163,175)
3180        (164,176)(174,184) ] ],
3181[4, Factorial(220)/2,1,"2",[[219,1]],218, "Alt(220)", ["A",220, 1], "Alt"],
3182[5, Factorial(220),0,"2",[[219, 1]],220, "Sym(220)", ["A",220, 1], "Sym"]];
3183PRIMGRP[221]:=
3184[[1, Factorial(221)/2,1,"2",[[220,1]],219, "Alt(221)", ["A",221, 1], "Alt"],
3185[2, Factorial(221),0,"2",[[220, 1]],221, "Sym(221)", ["A",221, 1], "Sym"]];
3186PRIMGRP[222]:=
3187[[1, Factorial(222)/2,1,"2",[[221,1]],220, "Alt(222)", ["A",222, 1], "Alt"],
3188[2, Factorial(222),0,"2",[[221, 1]],222, "Sym(222)", ["A",222, 1], "Sym"]];
3189PRIMGRP[223]:=
3190[[ 1, 223, 3, "1", [ [ 1, 222 ] ], 1, "C(223)", [ "Z", 223, 1 ], [  ] ],
3191[ 2, 446, 2, "1", [ [ 2, 111 ] ], 1, "D(2*223)", [ "Z", 223, 1 ],
3192  [ [ [ Z(223)^111 ] ] ] ],
3193[ 3, 669, 2, "1", [ [ 3, 74 ] ], 1, "223:3", [ "Z", 223, 1 ],
3194  [ [ [ Z(223)^74 ] ] ] ],
3195[ 4, 1338, 2, "1", [ [ 6, 37 ] ], 1, "223:6", [ "Z", 223, 1 ],
3196  [ [ [ Z(223)^37 ] ] ] ],
3197[ 5, 8251, 2, "1", [ [ 37, 6 ] ], 1, "223:37", [ "Z", 223, 1 ],
3198  [ [ [ Z(223)^6 ] ] ] ],
3199[ 6, 16502, 2, "1", [ [ 74, 3 ] ], 1, "223:74", [ "Z", 223, 1 ],
3200  [ [ [ Z(223)^3 ] ] ] ],
3201[ 7, 24753, 2, "1", [ [ 111, 2 ] ], 1, "223:111", [ "Z", 223, 1 ],
3202  [ [ [ Z(223)^2 ] ] ] ],
3203[ 8, 49506, 2, "1", [ [ 222, 1 ] ], 2, "AGL(1, 223)", [ "Z", 223, 1 ],
3204  [ [ [ Z(223) ] ] ] ],
3205[9, Factorial(223)/2,1,"2",[[222,1]],221, "Alt(223)", ["A",223, 1], "Alt"],
3206[10, Factorial(223),0,"2",[[222, 1]],223, "Sym(223)", ["A",223, 1], "Sym"]];
3207PRIMGRP[224]:=
3208[[ 1, 5544672, 1, "2", [ [ 223, 1 ] ], 2, "PSL(2, 223)",
3209  [ "L", [ 2, 223 ], 1 ], "psl" ],
3210[ 2, 11089344, 0, "2", [ [ 223, 1 ] ], 3, "PGL(2, 223)",
3211  [ "L", [ 2, 223 ], 1 ], "pgl" ],
3212[3, Factorial(224)/2,1,"2",[[223,1]],222, "Alt(224)", ["A",224, 1], "Alt"],
3213[4, Factorial(224),0,"2",[[223, 1]],224, "Sym(224)", ["A",224, 1], "Sym"]];
3214PRIMGRP[225]:=
3215[[ 1, 12700800, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1, "Alt(7) wreath Sym(2)",
3216  [ "A", 7, 2 ],
3217  [ (  1,166,168, 93,105, 60, 53,128,134, 14)(  2,106,177,198, 97, 90, 55,143,
3218         133,194)(  3, 91,180, 48, 98,135, 59,  8,121,179)(  4,151,170, 63,
3219         101,225, 54, 23,126, 44)(  5, 61,176,213, 99, 30, 51, 38,124,164)
3220        (  6, 31,169,153, 95, 75, 56,218,129, 29)(  7, 76,175,138,103,195, 47,
3221         113,132,209)(  9, 16,171, 33, 94,165, 50, 68,131,224)
3222        ( 10,136,178,183, 92,120, 57,203,127, 89)( 11,211,174, 18, 96, 45, 49,
3223         158,125, 74)( 12,196,172, 78,100,150, 58,188,122,119)
3224        ( 13,181,167,108,102,210, 52, 83,130,149)( 15, 46,173,123,104)
3225        ( 17,111, 42,199,157, 80, 70,146,223,189)( 19,156, 35, 64,161,215, 69,
3226         26,216, 39)( 20, 66, 41,214,159)( 21, 36, 34,154,155, 65, 71,221,219,
3227         24)( 22, 81, 40,139,163,185, 62,116,222,204)( 25,141, 43,184,152,110,
3228         72,206,217, 84)( 27,201, 37, 79,160,140, 73,191,212,114)
3229        ( 28,186, 32,109,162,200, 67, 86,220,144)( 77,115,147,208,187)
3230        ( 82, 85,145,148,193,182,107,117,207,202)( 87,205,142, 88,190,137,118,
3231         192,197,112), (  1, 14,  5,  9,  6)(  2,  8,  3, 11, 10)
3232        (  4,  7, 15, 13, 12)( 16,104,110, 24, 96,106, 29, 95,114, 21, 91,119,
3233         20, 99,111)( 17, 98,108, 26,100,107, 23, 93,116, 25, 92,113, 18,101,
3234         115)( 19, 97,120, 28,102,109, 22,105,118, 27, 94,112, 30,103,117)
3235        ( 31,134,140, 39,126,136, 44,125,144, 36,121,149, 35,129,141)
3236        ( 32,128,138, 41,130,137, 38,123,146, 40,122,143, 33,131,145)
3237        ( 34,127,150, 43,132,139, 37,135,148, 42,124,142, 45,133,147)
3238        ( 46, 74,170, 54, 66,166, 59, 65,174, 51, 61,179, 50, 69,171)
3239        ( 47, 68,168, 56, 70,167, 53, 63,176, 55, 62,173, 48, 71,175)
3240        ( 49, 67,180, 58, 72,169, 52, 75,178, 57, 64,172, 60, 73,177)
3241        ( 76, 89, 80, 84, 81)( 77, 83, 78, 86, 85)( 79, 82, 90, 88, 87)
3242        (151,209,215,159,201,211,164,200,219,156,196,224,155,204,216)
3243        (152,203,213,161,205,212,158,198,221,160,197,218,153,206,220)
3244        (154,202,225,163,207,214,157,210,223,162,199,217,165,208,222)
3245        (181,194,185,189,186)(182,188,183,191,190)(184,187,195,193,192) ] ],
3246[ 2, 259200, 0, "4c", [ [ 12, 1 ], [ 36, 1 ], [ 16, 1 ], [ 96, 1 ], [ 64, 1 ]
3247     ], 1, "Alt(6) wreath Sym(2)", [ "A", 6, 2 ],
3248  [ (  1,  8, 13, 14, 15)(  2, 12,  7, 10,  4)(  3,  6,  5, 11,  9)
3249        ( 16, 53, 28, 59, 30, 46, 23, 58, 29, 60)( 17, 57, 22, 55, 19, 47, 27,
3250         52, 25, 49)( 18, 51, 20, 56, 24, 48, 21, 50, 26, 54)( 31, 38, 43, 44,
3251         45)( 32, 42, 37, 40, 34)( 33, 36, 35, 41, 39)( 61,158, 73,164, 75,
3252         151, 68,163, 74,165)( 62,162, 67,160, 64,152, 72,157, 70,154)
3253        ( 63,156, 65,161, 69,153, 66,155, 71,159)( 76,128, 88,134, 90,121, 83,
3254         133, 89,135)( 77,132, 82,130, 79,122, 87,127, 85,124)
3255        ( 78,126, 80,131, 84,123, 81,125, 86,129)( 91, 98,103,104,105)
3256        ( 92,102, 97,100, 94)( 93, 96, 95,101, 99)(106,218,118,224,120,211,
3257         113,223,119,225)(107,222,112,220,109,212,117,217,115,214)
3258        (108,216,110,221,114,213,111,215,116,219)(136,173,148,179,150,166,143,
3259         178,149,180)(137,177,142,175,139,167,147,172,145,169)
3260        (138,171,140,176,144,168,141,170,146,174)(181,203,193,209,195,196,188,
3261         208,194,210)(182,207,187,205,184,197,192,202,190,199)
3262        (183,201,185,206,189,198,186,200,191,204),
3263      (  1, 92,142, 42,219,170, 30,123)(  2,137,147,222,215, 20, 18,  3)
3264        (  4,197,148,162,224,110, 26, 78)(  5, 17,138, 12,212,140, 27,213)
3265        (  6,182,143, 57,216,185, 23, 48)(  7, 32,144,177,225,125, 16, 93)
3266        (  8, 47,141,192,218, 50, 21,183)(  9,167,150,132,211, 95, 22, 33)
3267        ( 10, 62,145, 72,220, 65, 25, 63)( 11, 77,139,207,223,155, 29,108)
3268        ( 13,152,149,117,221, 80, 19,198)( 14,107,146, 87,214,200, 28,153)
3269        ( 15,122,136,102,217, 35, 24,168)( 31, 99,172, 45,129,166,105,127)
3270        ( 34,204,178,165,134,106,101, 82)( 36,189,173, 60,126,181, 98, 52)
3271        ( 37, 39,174,180,135,121, 91, 97)( 38, 54,171,195,128, 46, 96,187)
3272        ( 40, 69,175, 75,130, 61,100, 67)( 41, 84,169,210,133,151,104,112)
3273        ( 43,159,179,120,131, 76, 94,202)( 44,114,176, 90,124,196,103,157)
3274        ( 49,201,193,158, 59,111,191, 83)( 51,186,188, 53)( 55, 66,190, 68)
3275        ( 56, 81,184,203, 58,156,194,113)( 64,205, 73,160, 74,115, 71, 85)
3276        ( 79,199,208,163,164,119,116, 86)( 88,154,209,118,161, 89,109,206) ]
3277 ],
3278[ 3, 518400, 0, "4c", [ [ 12, 1 ], [ 36, 1 ], [ 16, 1 ], [ 96, 1 ], [ 64, 1 ]
3279     ], 1, "Alt(6)^2.2^2", [ "A", 6, 2 ],
3280  [ (  1, 27,193,171)(  2, 87,182, 81)(  3,132,188,156)(  4, 42,195, 66)
3281        (  5,147,185,141)(  6, 12,192,186)(  7,102,189, 51)(  8,162,183,126)
3282        (  9, 57,187, 96)( 10,117,190,111)( 11,207,194,216)( 13,177,181, 21)
3283        ( 14,222,191,201)( 15, 72,184, 36)( 16, 28,178,166)( 17, 88,167, 76)
3284        ( 18,133,173,151)( 19, 43,180, 61)( 20,148,170,136)( 22,103,174, 46)
3285        ( 23,163,168,121)( 24, 58,172, 91)( 25,118,175,106)( 26,208,179,211)
3286        ( 29,223,176,196)( 30, 73,169, 31)( 32, 90, 62, 79)( 33,135, 68,154)
3287        ( 34, 45, 75, 64)( 35,150, 65,139)( 37,105, 69, 49)( 38,165, 63,124)
3288        ( 39, 60, 67, 94)( 40,120, 70,109)( 41,210, 74,214)( 44,225, 71,199)
3289        ( 47, 82, 92, 84)( 48,127, 98,159)( 50,142, 95,144)( 52, 97, 99, 54)
3290        ( 53,157, 93,129)( 55,112,100,114)( 56,202,104,219)( 59,217,101,204)
3291        ( 78,122, 83,152)( 80,137)( 85,107)( 86,197, 89,212)(108,130,113,160)
3292        (110,145)(116,205,119,220)(123,128,158,153)(125,143,155,138)
3293        (131,203,164,213)(134,218,161,198)(146,200,149,215)(206,209,224,221),
3294      (  1, 78, 42, 49,  6, 83, 31, 48, 12, 79, 36, 53)(  2, 77, 32, 47)
3295        (  3, 87, 34, 51,  8, 76, 33, 57,  4, 81, 38, 46)(  5, 89, 39, 50, 14,
3296         84, 35, 59,  9, 80, 44, 54)(  7, 85, 41, 52, 10, 86, 37, 55, 11, 82,
3297          40, 56)( 13, 90, 43, 60)( 15, 88, 45, 58)( 16,123, 27,124, 21,128)
3298        ( 17,122)( 18,132, 19,126, 23,121)( 20,134, 24,125, 29,129)
3299        ( 22,130, 26,127, 25,131)( 28,135)( 30,133)( 61,108,207,169, 66,113,
3300         196,168, 72,109,201,173)( 62,107,197,167)( 63,117,199,171, 68,106,
3301         198,177, 64,111,203,166)( 65,119,204,170, 74,114,200,179, 69,110,209,
3302         174)( 67,115,206,172, 70,116,202,175, 71,112,205,176)( 73,120,208,180
3303         )( 75,118,210,178)( 91, 93,102, 94, 96, 98)( 95,104, 99)( 97,100,101)
3304        (103,105)(136,183,162,214,141,188,151,213,147,184,156,218)
3305        (137,182,152,212)(138,192,154,216,143,181,153,222,139,186,158,211)
3306        (140,194,159,215,149,189,155,224,144,185,164,219)(142,190,161,217,145,
3307         191,157,220,146,187,160,221)(148,195,163,225)(150,193,165,223) ] ],
3308[ 4, 518400, 0, "4c", [ [ 12, 1 ], [ 36, 1 ], [ 16, 1 ], [ 96, 1 ], [ 64, 1 ]
3309     ], 1, "Alt(6)^2.4", [ "A", 6, 2 ],
3310  [ (  1,196,207, 12)(  2,121,208,147,  6, 46,197,132, 13,136,201, 57)
3311        (  3, 31,210,162, 11,211,198, 42, 15,151,206,222)(  4, 61,202,192,  9,
3312         106,203, 87, 10, 91,200, 27)(  5, 16,199, 72,  7,181,204,117,  8, 76,
3313         205,102)( 14,166,209,177)( 17,124, 73,142,186, 54,107,128, 88,145,
3314          96, 50)( 18, 34, 75,157,191,219,108, 38, 90,160,101,215)
3315        ( 19, 64, 67,187,189,114,113, 83, 85,100, 95, 20)( 21, 49, 62,127,193,
3316         144,111, 53, 77,130,103,140)( 22,184, 69,112,188, 84,115, 98, 80, 25,
3317         94, 65)( 23, 79, 70, 97,185, 24,109, 68, 82,190, 99,110)
3318        ( 26,214, 63, 37,195,159,116,218, 78, 40,105,155)( 28,139, 66, 52,182,
3319         129,118,143, 81, 55, 92,125)( 29,169, 74,172,194,174,119,173, 89,175,
3320         104,170)( 30,154, 71,217,183, 39,120,158, 86,220, 93, 35)
3321        ( 32,135,163,146,216, 48)( 33, 45,165,161,221,213)( 36, 60,152,131,
3322         223,138)( 41,225,153)( 43,150,156, 56,212,123)( 44,180,164,176,224,
3323         168)( 47,122,133,148,141, 51)( 58,137,126)( 59,167,134,178,149,171),
3324      (  1, 85, 30, 58, 31, 77,135, 49)(  2,130, 19, 13, 40, 17,133, 34)
3325        (  3,145, 24,193, 41,212,126,154)(  4, 10, 25, 28, 43, 32,122,124)
3326        (  5,100, 20,103, 35, 92,125, 94)(  6,160, 18,148, 39,182,131,214)
3327        (  7,115, 27, 73, 38,197,134,169)(  8,205, 29,178, 37,107,132, 64)
3328        (  9,190, 26,223, 36,152,123,139)( 11,220, 21,163, 33,137,129,184)
3329        ( 12, 70, 23,208, 44,167,127,109)( 14,175, 22,118, 42, 62,128,199)
3330        ( 15, 55, 16, 88, 45, 47,121, 79)( 46, 76, 90, 60)( 48,136, 84,195,
3331          56,211, 81,165)( 50, 91, 80,105)( 51,151, 78,150, 54,181, 86,225)
3332        ( 52,106, 87, 75, 53,196, 89,180)( 57, 61, 83,210, 59,166, 82,120)
3333        ( 63,143,204,194,176,217,111,162)( 65, 98,200,104,170, 97,110,102)
3334        ( 66,158,198,149,174,187,116,222)( 67,113,207, 74,173,202,119,177)
3335        ( 68,203,209,179,172,112,117, 72)( 69,188,206,224,171,157,108,147)
3336        ( 71,218,201,164,168,142,114,192)( 93,140, 99,185,101,215, 96,155)
3337        (138,144,189,191,221,216,156,153)(141,159,183,146,219,186,161,213) ]
3338 ],
3339[ 5, 1036800, 0, "4c",
3340  [ [ 12, 1 ], [ 36, 1 ], [ 16, 1 ], [ 96, 1 ], [ 64, 1 ] ], 1,
3341  "Sym(6) wreath Sym(2)", [ "A", 6, 2 ],
3342  [ (  1,108)(  2,111,  9,109)(  3,106)(  4,107,  6,114)(  5,119,  8,117)
3343        (  7,112)( 10,120, 13,116)( 11,115, 15,118)( 12,110, 14,113)( 16,198)
3344        ( 17,201, 24,199)( 18,196)( 19,197, 21,204)( 20,209, 23,207)( 22,202)
3345        ( 25,210, 28,206)( 26,205, 30,208)( 27,200, 29,203)( 31,123)
3346        ( 32,126, 39,124)( 33,121)( 34,122, 36,129)( 35,134, 38,132)( 37,127)
3347        ( 40,135, 43,131)( 41,130, 45,133)( 42,125, 44,128)( 46, 48)
3348        ( 47, 51, 54, 49)( 50, 59, 53, 57)( 55, 60, 58, 56)( 61, 78)
3349        ( 62, 81, 69, 79)( 63, 76)( 64, 77, 66, 84)( 65, 89, 68, 87)( 67, 82)
3350        ( 70, 90, 73, 86)( 71, 85, 75, 88)( 72, 80, 74, 83)( 91,183)
3351        ( 92,186, 99,184)( 93,181)( 94,182, 96,189)( 95,194, 98,192)( 97,187)
3352        (100,195,103,191)(101,190,105,193)(102,185,104,188)(136,213)
3353        (137,216,144,214)(138,211)(139,212,141,219)(140,224,143,222)(142,217)
3354        (145,225,148,221)(146,220,150,223)(147,215,149,218)(151,153)
3355        (152,156,159,154)(155,164,158,162)(160,165,163,161)(166,168)
3356        (167,171,174,169)(170,179,173,177)(175,180,178,176),
3357      (  1, 67,182, 35,136, 71,  2, 37,181, 65,137, 41)(  3, 52,190,170,143,
3358         221,  9,202,195, 20,149,101)(  4,112,184,110,139,116)(  5,142,191)
3359        (  6,127,193, 80,147,161)(  7,187,185,140,146, 11)(  8,217,189,200,
3360         150, 26, 14, 97,183, 50,145,176)( 10,172,188,215,144,206, 15, 22,194,
3361         95,138, 56)( 12,157,186,125,148, 86)( 13, 82,192,155,141,131)
3362        ( 16, 74, 92, 33, 46, 70,167, 38,211, 69,197, 45)( 17, 44, 91, 63, 47,
3363         40,166, 68,212, 39,196, 75)( 18, 59,100,168, 53,220,174,203,225, 24,
3364         209,105)( 19,119, 94,108, 49,115,169,113,214,114,199,120)
3365        ( 21,134,103, 78, 57,160,171,128,223, 84,207,165)( 23,224, 99,198, 60,
3366         25,179, 98,213, 54,205,180)( 27,164, 96,123, 58, 85,177,158,216,129,
3367         208, 90)( 28, 89,102,153, 51,130,178, 83,222,159,201,135)
3368        ( 29,104, 93, 48, 55,175,173,218,219,204,210, 30)( 31, 61, 62, 32)
3369        ( 34,106, 64,107)( 36,121, 73, 77, 42,151, 66,122, 43, 76, 72,152)
3370        ( 79,117,154,111,124,118)( 81,132,163)( 87,162,156,126,133, 88) ] ],
3371[ 6, 812851200, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1, "Alt(8) wreath Sym(2)",
3372  [ "A", 8, 2 ],
3373  [ (  1,158,217,133,168,110)(  2,188,224, 28,174,140)(  3,113,211,163,172,125
3374         )(  4, 83,216,208,180, 95)(  5,  8,218,223,178,170)(  6,203,225,103,
3375         169, 80)(  7,128,213,118,166,155)(  9,143,212,193,179, 20)
3376        ( 10, 38,222, 58,176, 65)( 11, 68,220, 43,177, 50)( 12, 53,221, 73,
3377         175, 35)( 13,173,215)( 14, 23,219,148,167,185)( 15, 98,214, 88,171,
3378         200)( 16,159,142,122,183,119)( 17,189,149)( 18,114,136,152,187,134)
3379        ( 19, 84,141,197,195,104)( 21,204,150, 92,184, 89)( 22,129,138,107,
3380         181,164)( 24,144,137,182,194, 29)( 25, 39,147, 47,191, 74)
3381        ( 26, 69,145, 32,192, 59)( 27, 54,146, 62,190, 44)( 30, 99,139, 77,
3382         186,209)( 31,162, 52,131, 63,115)( 33,117, 46,161, 67,130)
3383        ( 34, 87, 51,206, 75,100)( 36,207, 60,101, 64, 85)( 37,132, 48,116,
3384          61,160)( 40, 42, 57, 56, 71, 70)( 41, 72, 55)( 45,102, 49, 86, 66,
3385         205)( 76,156,202,135, 93,109)( 78,111,196,165, 97,124)
3386        ( 79, 81,201,210,105, 94)( 82,126,198,120, 91,154)( 90, 96,199)
3387        (106,151,157,127,123,108)(112,121,153),
3388      (  1,104,145,111,  3, 89,143, 36)(  2, 29,147, 51,  5,134,144,186)
3389        (  4, 74,146,171)(  6, 14,149,141)(  7,209,142,201)(  8, 44,136, 96,
3390          10,119,138, 81)(  9,194,137, 21, 12, 59,140,126)( 11,179,139, 66)
3391        ( 13,224,148,216)( 15,164,150,156)( 16,102, 55,110,123, 84,188, 32)
3392        ( 17, 27, 57, 50,125,129,189,182)( 18, 87, 53, 35,121, 99,190,107)
3393        ( 19, 72, 56,170,124, 69,191,167)( 20,132, 54,185,122, 24,192, 47)
3394        ( 22,207, 52,200,127,204,187,197)( 23, 42, 46, 95,130,114,183, 77)
3395        ( 25,117, 48, 80,128, 39,181, 92)( 26,177, 49, 65,131,174,184, 62)
3396        ( 28,222, 58,215,133,219,193,212)( 30,162, 60,155,135,159,195,152)
3397        ( 31, 91,100,115,108, 78, 83, 38)( 33, 76, 98, 40,106, 93, 85,113)
3398        ( 34, 61,101,175,109, 63, 86,173)( 37,196, 97,205,112,198, 82,203)
3399        ( 41,166, 94, 70,116,168, 79, 68)( 43,211,103,220,118,213, 88,218)
3400        ( 45,151,105,160,120,153, 90,158)( 64, 71,176,169)( 67,206,172,199)
3401        ( 73,221,178,214)( 75,161,180,154)(157,210)(163,225)(208,217) ] ],
3402[ 7, 855006126362099712000000, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1,
3403  "Alt(15) wreath Sym(2)", [ "A", 15, 2 ],
3404  [ (  1,126, 39,190, 95, 78, 58,150,206,106,171, 69, 25,215,153, 13,135, 41,
3405         181, 96, 84, 55,140,198,118,180, 71, 16,216,159, 10,125, 33,193,105,
3406          86, 46,141,204,115,170, 63, 28,225,161)(  2,127, 44,182, 97, 89, 47,
3407         142,209,107,172, 74, 17,217,164)(  3,133, 45,191, 91, 81, 54,145,200,
3408         108,178, 75, 26,211,156,  9,130, 35,183,103, 90, 56,136,201,114,175,
3409          65, 18,223,165, 11,121, 36,189,100, 80, 48,148,210,116,166, 66, 24,
3410         220,155)(  4,132, 38,184,102, 83, 49,147,203,109,177, 68, 19,222,158)
3411        (  5,123, 43,195,101, 76, 51,144,205,110,168, 73, 30,221,151,  6,129,
3412          40,185, 93, 88, 60,146,196,111,174, 70, 20,213,163, 15,131, 31,186,
3413          99, 85, 50,138,208,120,176, 61, 21,219,160)(  7,134, 32,187,104, 77,
3414         52,149,197,112,179, 62, 22,224,152)(  8,124, 42,188, 94, 87, 53,139,
3415         207,113,169, 72, 23,214,162)( 12,128, 34,192, 98, 79, 57,143,199,117,
3416         173, 64, 27,218,154)( 14,122, 37,194, 92, 82, 59,137,202,119,167, 67,
3417         29,212,157), (  1, 61, 74,194,195,120,112,142,144,174,177, 57, 50,
3418          20, 23, 83, 85, 10)(  2,211, 63,164,193, 45,116,202,141, 99,167,222,
3419         48,155, 28, 38, 86,205,  6, 91, 62,224,183,165,118, 37,146,204,171,
3420         102, 47,215, 18,158, 88, 40, 11,196, 66,104,182,225,108,157,148, 39,
3421         176,207, 51, 95, 17,218, 78,160, 13, 31, 71,209,186,105,107,217,138,
3422         159,178, 42, 56,200, 21, 98, 77,220,  3,151, 73, 44,191,210,111, 97,
3423         137,219,168,162, 58, 35, 26,203, 81,100)(  4,121, 64,134,184,135,109,
3424         127,139,129,169,132, 49,125, 19,128, 79,130)(  5, 16, 68, 89,190, 15,
3425         106, 67,149,189,180,117, 52,140, 24,173, 87, 55)(  7,136, 69,179,192,
3426         60,110, 22,143, 84,175, 12, 46, 65, 29,188, 90,115)(  8, 76, 70, 14,
3427         181, 75,119,187,150,114,172,147, 54,170, 27, 53, 80, 25)
3428        (  9,166, 72, 59,185, 30,113, 82,145)( 32,221,198,156,103)
3429        ( 33,161,208, 36,101,197,216, 93,152,223)( 34,131,199,126, 94,122,214,
3430         123,154,133)( 41,206,201, 96, 92,212,213,153,163, 43) ] ],
3431[ 8, 1710012252724199424000000, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1,
3432  "Alt(15)^2.2^2", [ "A", 15, 2 ],
3433  [ (  1,129, 14, 54,  6, 24, 15, 69,  5,189,  4,204,  2,159, 10,144, 13, 39,
3434          12,219, 11, 99,  7,114,  3, 84)(  8,174)( 16,135, 74, 50,186, 19,
3435         210, 62,155,190,139,208, 32,162,220,146,103, 37,117,213, 86, 91,127,
3436         119, 48, 81)( 17,165, 70,140,193, 34,207,212,161,100,142,118, 33, 87,
3437         211,131,104, 52,111, 18, 90, 61,125,194, 49,201)( 20,195, 64,200,182,
3438         154,205,137,163, 40,147,223, 41,102,217,116, 93, 82,106,123, 89, 46,
3439         126, 29, 60, 66)( 21, 30, 75, 65,185,184,199,197,152,160,145,148, 43,
3440         42,222,221,101, 97,112,108, 78, 76,121,134, 59, 51)( 22,120, 63, 80,
3441         181,124,209, 47,156, 25,150, 73, 35,192,214,206, 92,157,115,138, 88,
3442          31,132,224, 56, 96)( 23,180, 68,170,188,169,203,167,158,175,143,178,
3443         38,177,218,176, 98,172,113,168, 83,166,128,179, 53,171)
3444        ( 26,105, 67,110,183, 79,196,122,164, 55,141, 28, 45, 72,215,191, 94,
3445         202,107,153, 85,136,133, 44, 57,216)( 27,225, 71, 95,187,109,198, 77,
3446         151,130,149, 58, 36),
3447      (  1,188, 30,212,157,109, 48, 76,193, 45,221, 97,119,168, 87, 13, 38,
3448          26, 92,164,169, 57)(  2,158, 19, 47,151,184, 60,211,187,120,213, 82,
3449         118, 33, 86,103, 44,176,102, 14,173, 27)(  3, 83, 28, 32,161, 94, 59,
3450         166,192, 15,218, 22,107,153, 79, 58, 31,191,105,224,172,117)
3451        (  4, 53, 16,182,165,214, 52,106,183, 90,223, 37,116, 93, 89,178, 42,
3452          11, 98, 29,167,162)(  5,143, 24,122,155,139, 54,121,185,150,219,127,
3453         110,138, 84,133, 35,146, 99,134,170,147,  9,128, 20,137,159,124, 50,
3454         136,189,135,215,142,114,123, 80,148, 39,131, 95,149,174,132)
3455        (  6, 68, 25,197,156, 64, 55,196,186, 75,220,202,111, 63, 85,208, 36,
3456          71,100,209,171, 72, 10,203, 21, 62,160,199, 51, 61,190,210,216, 67,
3457         115,198, 81, 73, 40,206, 96, 74,175,207)(  7,113, 18, 77,163, 34, 56,
3458         91,194,180,222)(  8, 23, 17,152,154, 49, 46,181,195,225,217,112,108,
3459          78, 88, 43, 41,101,104,179,177, 12)( 65,145,204,126)( 66, 70,205,201
3460         )( 69,130,200,141)(125,140,144,129) ] ],
3461[ 9, 1710012252724199424000000, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1,
3462  "Alt(15)^2.4", [ "A", 15, 2 ],
3463  [ (  1, 20, 41,158, 88,210,  6, 95, 44,173, 85, 60)(  2,140, 33,128, 79, 75,
3464         7,110, 32,143, 78,135,  4, 65, 37,113, 77,150,  3,125, 34, 68, 82,120
3465         )(  5, 35, 38, 83, 90, 15)(  8, 80, 45)(  9,185, 42,218, 84,195, 12,
3466         215, 39,188, 87,225)( 10, 50, 31, 23, 86,165, 13,200, 36, 98, 89,180)
3467        ( 11,155, 43,203, 81,105, 14,170, 40, 53, 76, 30)( 16, 26,161,163,208,
3468         201, 96,104,179,175, 55, 46)( 17,146,153,133,199, 66, 97,119,167,145,
3469         48,121, 19, 71,157,118,197,141, 93,134,169, 70, 52,106)
3470        ( 18,131,154, 73,202,111, 92,149,168,130, 49, 61, 22,116,152,148,198,
3471         126, 94, 74,172,115, 47,136)( 21,101,164,178,205, 51, 91, 29,176,160,
3472         58,196)( 24,191,162,223,204,186,102,224,174,190, 57,211)
3473        ( 25, 56,151, 28,206,156,103,209,171,100, 59,166)( 27,221,159,193,207,
3474         216, 99,194,177,220, 54,181)( 62,142,108,122,139, 63,127,109)
3475        ( 64, 67,112,107,137,138,123,124)( 69,187,117,212,144,183,132,214)
3476        ( 72,217,114,182,147,213,129,184)(189,192,222,219),
3477      (  1,188, 27,206,127, 94, 44,120, 47,166,190, 12,203, 22,101,134,109,
3478          32,180, 55)(  2,173, 25, 11,128, 19, 41,135, 49, 31,195, 57,196,187,
3479         102,209,112, 92,179,115)(  3, 68, 20,221,129,139, 33, 75, 50,211,189,
3480         147,198, 67, 95,224,114,137,168, 70,  5,218, 24,146,123, 64, 35,225,
3481          54,136,183, 72,200,217, 99,149,108, 62,170,220,  9,143, 18, 71,125,
3482         214, 39,150, 48, 61,185,222,204,142, 93, 74,110,212,174,145)
3483        (  4, 38, 30, 56,121,184, 42,210, 52, 91,194,117,197,172,100, 14,113,
3484          17,176,130)(  6, 83, 21, 86,126, 79, 36, 90, 51, 76,186, 87,201, 82,
3485         96, 89,111, 77,171, 85)(  7, 98, 29,116,122,169, 40, 15, 53, 16,191,
3486         132,199, 37,105, 59,106,182,177,205)(  8, 23, 26,131,124, 34, 45, 60,
3487         46,181,192,207,202, 97,104,119,107,167,175, 10)( 13,158, 28,161,133,
3488         154, 43,165, 58,151,193,162,208,157,103,164,118,152,178,160)
3489        ( 63, 65,215,219,144,138)( 66, 80,216, 84,141, 78)( 69,140,213)
3490        ( 73,155,223,159,148,153)( 88,156) ] ],
3491[ 10, 3420024505448398848000000, 0, "4c", [ [ 28, 1 ], [ 196, 1 ] ], 1,
3492  "Sym(15) wreath Sym(2)", [ "A", 15, 2 ],
3493  [ (  1,103,221,152, 23,144,126,187, 10, 88,211, 92, 26,159,128,142,  6,193,
3494         220, 77, 16, 99,131,157,  8,148,216,182, 25, 84,121, 97, 11,163,218,
3495         137, 21,189,130, 82)(  2, 28,219,122, 22,  9,133,217)
3496        (  3,118,224,167, 27,204,124, 37, 15, 58,215, 62, 18,114,134,172, 12,
3497         208,214, 32, 30, 54,125, 67)(  4, 43,225, 47, 20, 69,123,112, 14,178,
3498         222,197, 19, 39,135, 52,  5, 73,213,107, 29,174,132,202)
3499        (  7, 13,223,212, 17, 24,129,127)( 31,105, 56,155, 68,138,111,194,175,
3500         87,196, 94, 41,165, 53,140, 66,183,115, 89,166,102,206,154, 38,150,
3501          51,185, 70, 78,106,104,176,162,203,139, 36,195, 55, 80, 61, 93,116,
3502         164,173,147,201,184, 40, 90, 46, 95, 71,153,113,149,171,192,205, 79)
3503        ( 33,120, 59,170, 72,198,109, 44,180, 57,200, 64)( 34, 45, 60, 50, 65,
3504         63,108,119,179,177,207,199)( 35, 75, 48,110, 74,168,117,209,169, 42,
3505         210, 49)( 76, 91,101,161,158,143,141,186,190, 85)( 81,181,100, 86,
3506         151, 98,146,156,188,145)( 83,136, 96,191,160),
3507      (  1,184,122, 72, 54,176,  3,199,130,162, 59, 26, 15, 79,127,117, 50,
3508         146, 13, 94,121,192, 47, 71,  9,169,123,207, 55,161, 14, 19,135, 87,
3509          52,116,  5,139,133,102, 46,191,  2, 64,129,177, 48,206, 10,154,134,
3510          27, 60, 86,  7,109,125,147, 58,101)(  4,124,132, 57, 56, 11)
3511        (  6, 34,126, 42, 51, 41)(  8,214,128,222, 53,221)( 12, 49,131)
3512        ( 16,195, 77, 67,114,170,138,208,100,151,194, 17, 75, 84,172,108,200,
3513         145,163,104)( 18,210, 85,157,119, 20,150, 88, 97,106,185,137, 73, 99,
3514         166,183,197, 70,159,179)( 21, 45, 81, 37,111, 35,141, 43, 96, 31,186,
3515         32, 66, 39,171, 33,201, 40,156, 44)( 22,120, 80,142,118, 95,136,193,
3516          92, 61,189,167, 63,204,175,153,209, 25,165, 89)( 23,225, 83,217,113,
3517         215,143,223, 98,211,188,212, 68,219,173,213,203,220,158,224)
3518        ( 24,180, 78,202,115,155,149, 28,105, 76,187,107, 65,144,178, 93,196,
3519         190,152, 74)( 29, 30, 90, 82,112,110,140,148,103, 91,181,182, 62, 69,
3520         174,168,198,205,160,164)( 38,216) ] ],
3521[11, Factorial(225)/2,1,"2",[[224,1]],223, "Alt(225)", ["A",225, 1], "Alt"],
3522[12, Factorial(225),0,"2",[[224, 1]],225, "Sym(225)", ["A",225, 1], "Sym"]];
3523PRIMGRP[226]:=
3524[[1, Factorial(226)/2,1,"2",[[225,1]],224, "Alt(226)", ["A",226, 1], "Alt"],
3525[2, Factorial(226),0,"2",[[225, 1]],226, "Sym(226)", ["A",226, 1], "Sym"]];
3526PRIMGRP[227]:=
3527[[ 1, 227, 3, "1", [ [ 1, 226 ] ], 1, "C(227)", [ "Z", 227, 1 ], [  ] ],
3528[ 2, 454, 2, "1", [ [ 2, 113 ] ], 1, "D(2*227)", [ "Z", 227, 1 ],
3529  [ [ [ Z(227)^113 ] ] ] ],
3530[ 3, 25651, 2, "1", [ [ 113, 2 ] ], 1, "227:113", [ "Z", 227, 1 ],
3531  [ [ [ Z(227)^2 ] ] ] ],
3532[ 4, 51302, 2, "1", [ [ 226, 1 ] ], 2, "AGL(1, 227)", [ "Z", 227, 1 ],
3533  [ [ [ Z(227) ] ] ] ],
3534[5, Factorial(227)/2,1,"2",[[226,1]],225, "Alt(227)", ["A",227, 1], "Alt"],
3535[6, Factorial(227),0,"2",[[226, 1]],227, "Sym(227)", ["A",227, 1], "Sym"]];
3536PRIMGRP[228]:=
3537[[ 1, 5848428, 1, "2", [ [ 227, 1 ] ], 2, "PSL(2, 227)",
3538  [ "L", [ 2, 227 ], 1 ], "psl" ],
3539[ 2, 11696856, 0, "2", [ [ 227, 1 ] ], 3, "PGL(2, 227)",
3540  [ "L", [ 2, 227 ], 1 ], "pgl" ],
3541[3, Factorial(228)/2,1,"2",[[227,1]],226, "Alt(228)", ["A",228, 1], "Alt"],
3542[4, Factorial(228),0,"2",[[227, 1]],228, "Sym(228)", ["A",228, 1], "Sym"]];
3543PRIMGRP[229]:=
3544[[ 1, 229, 3, "1", [ [ 1, 228 ] ], 1, "C(229)", [ "Z", 229, 1 ], [  ] ],
3545[ 2, 458, 2, "1", [ [ 2, 114 ] ], 1, "D(2*229)", [ "Z", 229, 1 ],
3546  [ [ [ Z(229)^114 ] ] ] ],
3547[ 3, 687, 2, "1", [ [ 3, 76 ] ], 1, "229:3", [ "Z", 229, 1 ],
3548  [ [ [ Z(229)^76 ] ] ] ],
3549[ 4, 916, 2, "1", [ [ 4, 57 ] ], 1, "229:4", [ "Z", 229, 1 ],
3550  [ [ [ Z(229)^57 ] ] ] ],
3551[ 5, 1374, 2, "1", [ [ 6, 38 ] ], 1, "229:6", [ "Z", 229, 1 ],
3552  [ [ [ Z(229)^38 ] ] ] ],
3553[ 6, 2748, 2, "1", [ [ 12, 19 ] ], 1, "229:12", [ "Z", 229, 1 ],
3554  [ [ [ Z(229)^19 ] ] ] ],
3555[ 7, 4351, 2, "1", [ [ 19, 12 ] ], 1, "229:19", [ "Z", 229, 1 ],
3556  [ [ [ Z(229)^12 ] ] ] ],
3557[ 8, 8702, 2, "1", [ [ 38, 6 ] ], 1, "229:38", [ "Z", 229, 1 ],
3558  [ [ [ Z(229)^6 ] ] ] ],
3559[ 9, 13053, 2, "1", [ [ 57, 4 ] ], 1, "229:57", [ "Z", 229, 1 ],
3560  [ [ [ Z(229)^4 ] ] ] ],
3561[ 10, 17404, 2, "1", [ [ 76, 3 ] ], 1, "229:76", [ "Z", 229, 1 ],
3562  [ [ [ Z(229)^3 ] ] ] ],
3563[ 11, 26106, 2, "1", [ [ 114, 2 ] ], 1, "229:114", [ "Z", 229, 1 ],
3564  [ [ [ Z(229)^2 ] ] ] ],
3565[ 12, 52212, 2, "1", [ [ 228, 1 ] ], 2, "AGL(1, 229)", [ "Z", 229, 1 ],
3566  [ [ [ Z(229) ] ] ] ],
3567[13, Factorial(229)/2,1,"2",[[228,1]],227, "Alt(229)", ["A",229, 1], "Alt"],
3568[14, Factorial(229),0,"2",[[228, 1]],229, "Sym(229)", ["A",229, 1], "Sym"]];
3569PRIMGRP[230]:=
3570[[ 1, 6004380, 1, "2", [ [ 229, 1 ] ], 2, "PSL(2, 229)",
3571  [ "L", [ 2, 229 ], 1 ], "psl" ],
3572[ 2, 12008760, 0, "2", [ [ 229, 1 ] ], 3, "PGL(2, 229)",
3573  [ "L", [ 2, 229 ], 1 ], "pgl" ],
3574[3, Factorial(230)/2,1,"2",[[229,1]],228, "Alt(230)", ["A",230, 1], "Alt"],
3575[4, Factorial(230),0,"2",[[229, 1]],230, "Sym(230)", ["A",230, 1], "Sym"]];
3576PRIMGRP[231]:=
3577[[ 1, 443520, 1, "2", [ [ 160, 1 ], [ 40, 1 ], [ 30, 1 ] ], 1, "M_22",
3578  [ "Spor", "M(22)", 1 ],
3579  [ (  2,154)(  3,  4)(  5,184)(  6, 22)(  7,167)(  8,139)(  9, 55)( 10, 75)
3580        ( 11,122)( 13,114)( 14,126)( 16, 87)( 17,166)( 18,162)( 19, 79)
3581        ( 20, 50)( 21,230)( 23,145)( 24,229)( 25,201)( 26,226)( 27,118)
3582        ( 28, 89)( 29,152)( 30,120)( 31, 41)( 32,200)( 33,156)( 34, 71)
3583        ( 35, 53)( 36,102)( 38,107)( 39,128)( 40, 62)( 42, 86)( 44,220)
3584        ( 45, 67)( 46,115)( 47,105)( 48,148)( 49, 91)( 52, 69)( 56, 78)
3585        ( 57,158)( 58,205)( 59, 68)( 60,119)( 61,192)( 63,160)( 64, 65)
3586        ( 70,134)( 73,182)( 74,197)( 76,227)( 77,164)( 80,170)( 81,117)
3587        ( 82,104)( 83,193)( 85,210)( 88,123)( 90,216)( 92,142)( 94,180)
3588        ( 95,132)( 96,198)( 97,185)( 98,176)(101,187)(106,136)(108,203)
3589        (109,222)(110,188)(111,157)(112,129)(113,150)(121,196)(124,177)
3590        (125,131)(127,141)(130,151)(133,165)(135,159)(137,186)(138,228)
3591        (143,217)(146,204)(147,211)(149,161)(153,218)(155,190)(163,213)
3592        (168,179)(169,191)(171,223)(172,221)(173,214)(174,209)(175,189)
3593        (183,202)(194,231)(195,225)(199,224)(206,212),
3594      (  1, 48, 61, 67)(  2,206, 89,  3)(  4, 93, 77,228)(  5,178,194, 17)
3595        (  6,173, 40, 83)(  7,168,174, 28)(  8,213,214, 15)(  9,158,112,204)
3596        ( 10,124,180, 50)( 11, 97,221, 70)( 12, 56, 26, 64)( 13, 65,176,230)
3597        ( 14,159,163,144)( 16,162,184,147)( 18,115,175, 96)( 19, 33, 29,143)
3598        ( 20,108, 94,216)( 21,141,130, 69)( 22,148, 54,190)( 23, 78,140, 36)
3599        ( 24,209, 74,215)( 25, 95,106,161)( 27, 84, 44,188)( 30,187,218,193)
3600        ( 31, 85,137,121)( 32,133)( 34, 81,212,225)( 35,107)( 37, 41, 57,172)
3601        ( 38,205,134,196)( 39,231)( 42,177,136,217)( 43, 88,126,154)
3602        ( 45, 92,105,119)( 46,185)( 47,113,183,151)( 49, 62,103,219)( 51,111)
3603        ( 52,165, 63,207)( 53,181,198, 76)( 55,118,101, 72)( 58,155, 86,222)
3604        ( 59,182,200, 80)( 60,203, 82,171)( 66,117,220,179)( 68,153,157, 71)
3605        ( 73,169,170, 99)( 75,114,156,122)( 79,197,224,125)( 87,132)( 90,223)
3606        ( 91,123,226,195)( 98,128,186,149)(100,135)(102,104,150,229)
3607        (109,160,202,127)(116,201,167,210)(120,139,164,129)(131,146,142,208)
3608        (138,227,191,166)(145,211)(189,192) ] ],
3609[ 2, 887040, 0, "2", [ [ 160, 1 ], [ 40, 1 ], [ 30, 1 ] ], 1, "M_22.2",
3610  [ "Spor", "M(22)", 1 ],
3611  [ (  1,  2)(  4,  7)(  5,  9)(  6, 12)(  8, 15)( 10, 19)( 11, 22)( 13, 26)
3612        ( 14, 28)( 16, 32)( 17, 34)( 18, 21)( 20, 38)( 23, 40)( 24, 42)
3613        ( 25, 45)( 27, 47)( 29, 51)( 30, 37)( 31, 56)( 33, 59)( 35, 63)
3614        ( 36, 66)( 39, 71)( 43, 77)( 44, 72)( 46, 81)( 48, 84)( 49, 86)
3615        ( 50, 80)( 52, 92)( 53, 94)( 55, 89)( 57, 99)( 58,101)( 60, 98)
3616        ( 61,103)( 62,106)( 64,109)( 65,110)( 67,113)( 68,115)( 69,118)
3617        ( 70,120)( 73,100)( 74,126)( 75,128)( 76,131)( 78,133)( 79, 95)
3618        ( 82, 87)( 83,117)( 85,140)( 88,144)( 90,146)( 91,147)( 96,151)
3619        ( 97,152)(102,123)(105,130)(107,161)(111,124)(112,116)(114,168)
3620        (121,176)(122,178)(125,183)(127,184)(132,166)(134,181)(135,193)
3621        (136,174)(137,195)(139,148)(141,197)(142,198)(143,199)(145,173)
3622        (149,204)(150,202)(153,206)(154,158)(155,207)(156,159)(157,188)
3623        (162,211)(163,212)(167,203)(169,214)(170,216)(171,217)(172,208)
3624        (175,219)(177,194)(185,215)(187,205)(189,190)(191,209)(192,221)
3625        (201,227)(213,218)(222,231)(225,228)(229,230),
3626      (  1,  3,  6, 13)(  2,  5, 10, 20)(  4,  8, 16, 33)(  7, 11, 23, 41)
3627        (  9, 17, 35, 64)( 12, 24, 43, 25)( 14, 29, 52, 93)( 15, 30, 54, 58)
3628        ( 18, 28, 49, 87)( 19, 37, 68,116)( 22, 39, 72,123)( 26, 46, 66,112)
3629        ( 27, 48)( 31, 55, 97,153)( 32, 57,100,155)( 34, 61,104,158)( 36, 67)
3630        ( 38, 70,121,177)( 40, 74,127,186)( 42, 75,129,161)( 44, 78)( 45, 79)
3631        ( 47, 83,126,185)( 50, 89, 81,114)( 51, 90, 84,138)( 53, 95, 60, 85)
3632        ( 56, 98,147,201)( 59,102)( 62,107,162,173)( 63,108,163,157)
3633        ( 65,111,167,135)( 69,119,174,218)( 71,122,179,193)( 73,125,184,214)
3634        ( 76,132,190,195)( 77, 96,115,170)( 80,134,101,156)( 82,136,194,225)
3635        ( 86,141,164, 91)( 88,143,197,154)( 92,148,120,175)( 94,149,198,217)
3636        ( 99,145,200,166)(103,142,181,221)(105,159,209,199)(106,160,210,204)
3637        (110,165)(113,168,213,231)(117,124,182,139)(118,172,151,205)
3638        (128,187,137,180)(130,189)(131,140,196,226)(133,191,188,223)
3639        (144,146,152,150)(169,215)(171,208)(176,178,212,219)(183,206,220,229)
3640        (192,224,227,203)(202,211)(216,230,228,222),
3641      (  1,  4)(  5, 11)(  6, 14)(  9, 18)( 10, 21)( 12, 25)( 13, 27)( 15, 31)
3642        ( 17, 36)( 19, 22)( 20, 23)( 24, 44)( 28, 50)( 29, 53)( 30, 55)
3643        ( 32, 58)( 33, 60)( 34, 62)( 35, 65)( 37, 69)( 39, 73)( 42, 76)
3644        ( 43, 78)( 45, 80)( 46, 82)( 48, 85)( 49, 88)( 51, 91)( 54, 96)
3645        ( 57, 77)( 61,105)( 63, 90)( 64,106)( 66,109)( 67,114)( 68,117)
3646        ( 71,107)( 72,124)( 75,130)( 79,120)( 81,135)( 83,137)( 84,139)
3647        ( 86,142)( 87,143)( 89,145)( 94,150)( 97,100)( 99,154)(102,127)
3648        (103,157)(108,164)(110,166)(111,131)(112,136)(113,169)(115,171)
3649        (116,125)(118,173)(119,138)(121,156)(122,180)(123,181)(126,162)
3650        (128,188)(129,149)(132,146)(133,158)(134,192)(140,167)(141,182)
3651        (144,189)(147,202)(148,203)(151,179)(152,161)(153,170)(155,208)
3652        (160,197)(163,174)(165,210)(168,213)(172,191)(175,177)(178,220)
3653        (183,212)(184,221)(185,222)(190,198)(193,199)(195,217)(196,200)
3654        (204,226)(205,228)(207,229)(209,230)(214,218)(215,231) ] ],
3655[ 3, 562000363888803840000, 1, "2", [ [ 190, 1 ], [ 40, 1 ] ], 1, "Alt(22)",
3656  [ "A", 22, 1 ],
3657  [ (  1, 77,211,141,150,  9,104, 62, 13,174, 25,143, 12, 22,112,194, 51,  5,
3658         187,162, 49, 68,  7, 24,169, 64,172,165, 61,212,170, 59, 23, 33,216,
3659           4,155, 34,230,103,121,131,209, 46,198, 81,108,  8, 30,186,134, 66,
3660          79, 19, 82,100, 87, 47, 10,192)(  2, 56,221,148, 85, 89,217,139, 39,
3661         27, 40, 15)(  3,181, 32,226,106, 70)(  6,163,206,129, 38, 11,204, 90,
3662         17,214,153, 99)( 14,208,158,167,119)( 16, 97,223, 36,126)
3663        ( 18, 63, 20, 48,145,117,196,177,127, 71,175, 26)( 21,224,189,110, 41,
3664         124, 95, 53, 55,199, 80, 42)( 28,168,201, 45,191, 83, 31, 29,151, 54,
3665         35, 72)( 37,109,115, 44, 69, 52, 88,120,132, 60,184, 75)
3666        ( 43, 98, 78,138,144)( 50,202,118,135,190,195,142,228,114,122)
3667        ( 57,213,154,147, 76,231, 86,218,166,133, 96,111)( 58,205)
3668        ( 65,105,200, 73,116,152,128,176,210,193,140,136)( 67,179, 93,220,107,
3669         225,130,156,178,229,160,171)( 74,159)( 84,188,164, 92,182)
3670        ( 91,146,149,219,222)(101,125,173,203,102,185,215,197,227,180,157,207)
3671        (123,137), (  1,128, 50,211, 70,  3,157,151, 87, 34,218,189,132, 26,
3672          97,223, 25,210,178,214, 51,  5,227,204, 42, 21,195,165, 88, 80, 30,
3673         174,167,188,130,168,110, 55,149,209, 18, 48,133,106, 43, 62, 10,192)
3674        (  2, 72, 68,119,  7, 15)(  4,193, 86,172, 79, 11,180,181, 27, 77,202,
3675         153,120, 90, 33,126, 16,176,166,145, 38,131,219,199, 35, 56,225, 66,
3676          98, 54, 24,169, 81, 84,142,224, 99,  6,197,104, 23, 28,156,201, 52,
3677          59, 14,216)(  8, 20, 63,155, 47,108)(  9,113, 93,226, 45,179,125,
3678         115, 39, 22,135,194, 94, 76,230,150)( 12, 40,143)( 13,186,122, 65,
3679          58,206, 61,212,146, 73,107,221,213,177,161,139)( 17,229,171, 75, 44,
3680         46,208,158,182, 74,160,196, 89,203,102,175)( 19, 91,170,152, 96,111,
3681          85,109,185,187,198, 64,159, 57,184, 31)( 29,207,147,129, 60,220,141,
3682         138,100,164,114,134,105,154,101,127)( 32,228,103,144,116,118,112,121,
3683         200,137,124, 53, 41,123, 83, 69)( 36, 92,190,136, 67,191,173,217,215,
3684         163,231,117,205, 95, 78,162)( 37, 71,222, 82, 49,140,183,148) ] ],
3685[ 4, 1124000727777607680000, 0, "2", [ [ 190, 1 ], [ 40, 1 ] ], 1, "Sym(22)",
3686  [ "A", 22, 1 ],
3687  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
3688          91,101,111,122)(  4,  6,  8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58,
3689         66, 74, 83, 92,102,112,123,134,133)(  9, 12, 15, 19, 23, 28, 33, 39,
3690          45, 52, 59, 67, 75, 84, 93,103,113,124,135,146,145,156)
3691        ( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104,114,125,136,
3692         147,158,157,168,179)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,
3693         115,126,137,148,159,170,169,180,191,202)( 36, 42, 48, 55, 62, 70, 78,
3694         87, 96,106,116,127,138,149,160,171,182,181,192,203,211,218)
3695        ( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,150,161,172,183,194,193,
3696         204,212,219,224,228)( 64, 72, 80, 89, 98,108,118,129,140,151,162,173,
3697         184,195,190,201,210,217,223,227,230,231)( 81, 90, 99,109,119,130,141,
3698         152,163,174,185,196,205,167,178,189,200,209,216,222,226,229)
3699        (100,110,120,131,142,153,164,175,186,197,206,213,144,155,166,177,188,
3700         199,208,215,221,225)(121,132,143,154,165,176,187,198,207,214,220),
3701      (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
3702        ( 90,100)(110,121)(122,133)(132,144)(134,145)(146,157)(155,167)
3703        (158,169)(170,181)(178,190)(182,193)(194,201) ] ],
3704[5, Factorial(231)/2,1,"2",[[230,1]],229, "Alt(231)", ["A",231, 1], "Alt"],
3705[6, Factorial(231),0,"2",[[230, 1]],231, "Sym(231)", ["A",231, 1], "Sym"]];
3706PRIMGRP[232]:=
3707[[1, Factorial(232)/2,1,"2",[[231,1]],230, "Alt(232)", ["A",232, 1], "Alt"],
3708[2, Factorial(232),0,"2",[[231, 1]],232, "Sym(232)", ["A",232, 1], "Sym"]];
3709PRIMGRP[233]:=
3710[[ 1, 233, 3, "1", [ [ 1, 232 ] ], 1, "C(233)", [ "Z", 233, 1 ], [  ] ],
3711[ 2, 466, 2, "1", [ [ 2, 116 ] ], 1, "D(2*233)", [ "Z", 233, 1 ],
3712  [ [ [ Z(233)^116 ] ] ] ],
3713[ 3, 932, 2, "1", [ [ 4, 58 ] ], 1, "233:4", [ "Z", 233, 1 ],
3714  [ [ [ Z(233)^58 ] ] ] ],
3715[ 4, 1864, 2, "1", [ [ 8, 29 ] ], 1, "233:8", [ "Z", 233, 1 ],
3716  [ [ [ Z(233)^29 ] ] ] ],
3717[ 5, 6757, 2, "1", [ [ 29, 8 ] ], 1, "233:29", [ "Z", 233, 1 ],
3718  [ [ [ Z(233)^8 ] ] ] ],
3719[ 6, 13514, 2, "1", [ [ 58, 4 ] ], 1, "233:58", [ "Z", 233, 1 ],
3720  [ [ [ Z(233)^4 ] ] ] ],
3721[ 7, 27028, 2, "1", [ [ 116, 2 ] ], 1, "233:116", [ "Z", 233, 1 ],
3722  [ [ [ Z(233)^2 ] ] ] ],
3723[ 8, 54056, 2, "1", [ [ 232, 1 ] ], 2, "AGL(1, 233)", [ "Z", 233, 1 ],
3724  [ [ [ Z(233) ] ] ] ],
3725[9, Factorial(233)/2,1,"2",[[232,1]],231, "Alt(233)", ["A",233, 1], "Alt"],
3726[10, Factorial(233),0,"2",[[232, 1]],233, "Sym(233)", ["A",233, 1], "Sym"]];
3727PRIMGRP[234]:=
3728[[ 1, 5616, 1, "2", [ [ 3, 1 ], [ 4, 2 ], [ 6, 1 ], [ 24, 5 ], [ 12, 8 ] ], 1,
3729  "PSL(3, 3)", [ "L", [ 3, 3 ], 1 ],
3730  [ (  1,120,149,133)(  2, 44,199,101)(  3, 12, 74,223)(  4, 81,170,152)
3731        (  5,176,107, 25)(  6,  8,186,154)(  7,146,169,108)(  9, 55, 66,130)
3732        ( 10, 53,136, 54)( 11, 86, 79, 88)( 13, 83,220, 34)( 14, 87,173,153)
3733        ( 15,143,194, 64)( 16,210)( 17, 23,151,158)( 18,161, 91, 22)
3734        ( 19, 73,105,193)( 20, 31,189,164)( 21,197, 42, 32)( 24, 41,234,123)
3735        ( 26, 92, 65,174)( 28,137,225, 75)( 29,196,216,204)( 30,157, 89,203)
3736        ( 33,103, 98,185)( 35,221,104, 50)( 36, 97,233,222)( 37, 70,109,184)
3737        ( 38,165,218, 67)( 39,207,122,179)( 40,213,206, 76)( 43, 99,145,111)
3738        ( 45,127)( 46,118,172,180)( 48,167,211, 63)( 49, 96,200,166)
3739        ( 51, 61,155,183)( 52,147,115,229)( 56,227,191,187)( 57,125,208, 72)
3740        ( 58, 90,128,156)( 59,212,131, 82)( 60,126,114,117)( 62,139,178,226)
3741        ( 68,135,195,113)( 69,163)( 71,224,116,106)( 77, 78,140, 80)
3742        ( 84,102,100,202)( 85,150,171,160)( 93,162,134,190)( 94,124)( 95,121)
3743        (110,177,219,144)(112,205,182,232)(119,214,159,228)(129,230,192,181)
3744        (132,138,198,217)(141,168)(142,215)(148,209)(175,201,231,188),
3745      (  1,203)(  2,125, 22,165)(  3, 30)(  4, 65)(  5,217, 48,218)
3746        (  6,105, 10,214)(  7,146,184,176)(  8,224,137,197)(  9,229, 95,219)
3747        ( 11,226, 27,174)( 12, 32,103,167)( 13,100, 49, 38)( 14, 75,191, 57)
3748        ( 15,159)( 16, 40,186,134)( 17,193, 20,129)( 18,164, 41,233)
3749        ( 19,183, 77,150)( 21, 52)( 23,223, 87,201)( 24,171, 58, 92)
3750        ( 25,195,182, 56)( 26,168,205,113)( 28, 47, 50,227)( 29,102, 64,179)
3751        ( 31, 55,151,143)( 33,152, 62,181)( 34,222, 78,153)( 35,209, 53,136)
3752        ( 36,189,114, 86)( 37,135, 85, 79)( 39, 89,190,204)( 42,162, 70,131)
3753        ( 43,148,232,234)( 44,127, 90,220)( 45,126,149,141)( 46,122, 63,208)
3754        ( 51,119, 99, 80)( 54,231, 84,107)( 59, 68,154,158)( 60,198, 88,212)
3755        ( 61,133,211,228)( 66,145)( 67,144,156,160)( 69,140,200,230)
3756        ( 71,101, 98, 93)( 72,177,206,175)( 73, 82,166,202)( 74,111,118,106)
3757        ( 76,178,104,116)( 81,210,120,161)( 83,169)( 91,132,207,123)
3758        ( 94,121,225,157)( 96,130)( 97,180,173,115)(108,196,185,194)
3759        (109,128,110,142)(112,155,188,172)(117,215,187,221)(124,138,199,213)
3760        (139,170,147,163) ] ],
3761[ 2, 11232, 0, "2",
3762  [ [ 12, 2 ], [ 24, 4 ], [ 3, 1 ], [ 48, 2 ], [ 6, 1 ], [ 8, 1 ] ], 1,
3763  "PSL(3, 3).2", [ "L", [ 3, 3 ], 1 ],
3764  [ (  1, 19, 34,164,156, 94,100,216,131, 40, 28,168)(  2, 13, 14, 88,152,154,
3765         204,195,208,213, 36, 30)(  3, 11,103,155,219,126, 48,177, 62,157, 43,
3766         169)(  4, 50, 24, 25,104,101,166,183,179,230,134, 52)
3767        (  5, 87,110,141,145, 15)(  6, 64,123,180, 75, 79, 80,188,193,114, 22,
3768         144)(  7,159, 20, 32,226,124,203,109,175,212,191,147)
3769        (  8,224, 86,181, 53,150,173,132, 81,115, 66, 67)(  9,218, 54,210,227,
3770         69,214,140,113,162, 58,190)( 10, 82, 42,223,133,163,171,172,198,138,
3771         160,111)( 12,206, 45, 47, 37,127,125, 29,146,102, 39,222)
3772        ( 16, 92,121,215,105,182, 97,119,202,108, 31,217)( 17, 61,151,200,153,
3773         232, 27,221, 95, 85,194,136)( 18, 89, 98,228, 44,233, 21, 57,120,135,
3774         176, 76)( 23,192,116,174,117,209, 65, 46, 55,122, 51,229)
3775        ( 26,158,130,118,201,189, 56,139,231,143, 60, 71)( 33, 72, 91,197,205,
3776         142,165,112,106,129, 49, 99)( 35, 93, 83, 73, 41, 59)( 38, 77,148)
3777        ( 63,107,184)( 68, 74,128,185,196,167,199,178,187,211,220, 70)
3778        ( 78,137,170,149, 84, 96,161,186,207, 90,225,234),
3779      (  1,213, 63)(  2,128, 25)(  3, 98,141)(  4,149,110)(  5,169, 86)
3780        (  6,112, 64)(  7,205,195)(  8,101, 16)(  9,117, 75)( 10, 80,188)
3781        ( 11,164,124)( 12,175, 68)( 13,184,216)( 14,111,225)( 15, 66, 35)
3782        ( 17, 62,134)( 19, 49, 56)( 20,158,104)( 21, 41,145)( 22, 95,230)
3783        ( 23, 97,137)( 24,114,200)( 26, 77,203)( 27, 33,147)( 28,178,157)
3784        ( 29, 92, 72)( 30,234, 59)( 31,204,142)( 32,180, 69)( 34, 54, 91)
3785        ( 36, 70,179)( 37,152, 42)( 38,192,201)( 39,181, 47)( 40,199,103)
3786        ( 43,156,116)( 44,166, 45)( 46,223, 88)( 48, 71, 81)( 50,136,155)
3787        ( 51, 57,218)( 52,186, 87)( 55,232,172)( 58,198, 85)( 60,100,138)
3788        ( 61,197,215)( 65,173, 93)( 67,202,219)( 73,159,176)( 74,121,229)
3789        ( 76,165,139)( 78,208,106)( 79,127,196)( 82,143,150)( 84,191,131)
3790        ( 89,217,105)( 90,109,146)( 94,210,163)( 96,154,148)( 99,151,140)
3791        (102,190,167)(107,130,231)(108,211,123)(113,207,174)(115,227,212)
3792        (118,183,209)(119,206,171)(120,126,189)(122,168,161)(125,177,233)
3793        (129,221,224)(132,193,185)(133,222,194)(135,144,220)(153,228,160)
3794        (162,170,226)(182,214,187) ] ],
3795[ 3, 6324552, 1, "2", [ [ 233, 1 ] ], 2, "PSL(2, 233)",
3796  [ "L", [ 2, 233 ], 1 ], "psl" ],
3797[ 4, 12649104, 0, "2", [ [ 233, 1 ] ], 3, "PGL(2, 233)",
3798  [ "L", [ 2, 233 ], 1 ], "pgl" ],
3799[5, Factorial(234)/2,1,"2",[[233,1]],232, "Alt(234)", ["A",234, 1], "Alt"],
3800[6, Factorial(234),0,"2",[[233, 1]],234, "Sym(234)", ["A",234, 1], "Sym"]];
3801PRIMGRP[235]:=
3802[[1, Factorial(235)/2,1,"2",[[234,1]],233, "Alt(235)", ["A",235, 1], "Alt"],
3803[2, Factorial(235),0,"2",[[234, 1]],235, "Sym(235)", ["A",235, 1], "Sym"]];
3804PRIMGRP[236]:=
3805[[1, Factorial(236)/2,1,"2",[[235,1]],234, "Alt(236)", ["A",236, 1], "Alt"],
3806[2, Factorial(236),0,"2",[[235, 1]],236, "Sym(236)", ["A",236, 1], "Sym"]];
3807PRIMGRP[237]:=
3808[[1, Factorial(237)/2,1,"2",[[236,1]],235, "Alt(237)", ["A",237, 1], "Alt"],
3809[2, Factorial(237),0,"2",[[236, 1]],237, "Sym(237)", ["A",237, 1], "Sym"]];
3810PRIMGRP[238]:=
3811[[1, Factorial(238)/2,1,"2",[[237,1]],236, "Alt(238)", ["A",238, 1], "Alt"],
3812[2, Factorial(238),0,"2",[[237, 1]],238, "Sym(238)", ["A",238, 1], "Sym"]];
3813PRIMGRP[239]:=
3814[[ 1, 239, 3, "1", [ [ 1, 238 ] ], 1, "C(239)", [ "Z", 239, 1 ], [  ] ],
3815[ 2, 478, 2, "1", [ [ 2, 119 ] ], 1, "D(2*239)", [ "Z", 239, 1 ],
3816  [ [ [ Z(239)^119 ] ] ] ],
3817[ 3, 1673, 2, "1", [ [ 7, 34 ] ], 1, "239:7", [ "Z", 239, 1 ],
3818  [ [ [ Z(239)^34 ] ] ] ],
3819[ 4, 3346, 2, "1", [ [ 14, 17 ] ], 1, "239:14", [ "Z", 239, 1 ],
3820  [ [ [ Z(239)^17 ] ] ] ],
3821[ 5, 4063, 2, "1", [ [ 17, 14 ] ], 1, "239:17", [ "Z", 239, 1 ],
3822  [ [ [ Z(239)^14 ] ] ] ],
3823[ 6, 8126, 2, "1", [ [ 34, 7 ] ], 1, "239:34", [ "Z", 239, 1 ],
3824  [ [ [ Z(239)^7 ] ] ] ],
3825[ 7, 28441, 2, "1", [ [ 119, 2 ] ], 1, "239:119", [ "Z", 239, 1 ],
3826  [ [ [ Z(239)^2 ] ] ] ],
3827[ 8, 56882, 2, "1", [ [ 238, 1 ] ], 2, "AGL(1, 239)", [ "Z", 239, 1 ],
3828  [ [ [ Z(239) ] ] ] ],
3829[9, Factorial(239)/2,1,"2",[[238,1]],237, "Alt(239)", ["A",239, 1], "Alt"],
3830[10, Factorial(239),0,"2",[[238, 1]],239, "Sym(239)", ["A",239, 1], "Sym"]];
3831PRIMGRP[240]:=
3832[[ 1, 6825840, 1, "2", [ [ 239, 1 ] ], 2, "PSL(2, 239)",
3833  [ "L", [ 2, 239 ], 1 ], "psl" ],
3834[ 2, 13651680, 0, "2", [ [ 239, 1 ] ], 3, "PGL(2, 239)",
3835  [ "L", [ 2, 239 ], 1 ], "pgl" ],
3836[3, Factorial(240)/2,1,"2",[[239,1]],238, "Alt(240)", ["A",240, 1], "Alt"],
3837[4, Factorial(240),0,"2",[[239, 1]],240, "Sym(240)", ["A",240, 1], "Sym"]];
3838PRIMGRP[241]:=
3839[[ 1, 241, 3, "1", [ [ 1, 240 ] ], 1, "C(241)", [ "Z", 241, 1 ], [  ] ],
3840[ 2, 482, 2, "1", [ [ 2, 120 ] ], 1, "D(2*241)", [ "Z", 241, 1 ],
3841  [ [ [ Z(241)^120 ] ] ] ],
3842[ 3, 723, 2, "1", [ [ 3, 80 ] ], 1, "241:3", [ "Z", 241, 1 ],
3843  [ [ [ Z(241)^80 ] ] ] ],
3844[ 4, 964, 2, "1", [ [ 4, 60 ] ], 1, "241:4", [ "Z", 241, 1 ],
3845  [ [ [ Z(241)^60 ] ] ] ],
3846[ 5, 1205, 2, "1", [ [ 5, 48 ] ], 1, "241:5", [ "Z", 241, 1 ],
3847  [ [ [ Z(241)^48 ] ] ] ],
3848[ 6, 1446, 2, "1", [ [ 6, 40 ] ], 1, "241:6", [ "Z", 241, 1 ],
3849  [ [ [ Z(241)^40 ] ] ] ],
3850[ 7, 1928, 2, "1", [ [ 8, 30 ] ], 1, "241:8", [ "Z", 241, 1 ],
3851  [ [ [ Z(241)^30 ] ] ] ],
3852[ 8, 2410, 2, "1", [ [ 10, 24 ] ], 1, "241:10", [ "Z", 241, 1 ],
3853  [ [ [ Z(241)^24 ] ] ] ],
3854[ 9, 2892, 2, "1", [ [ 12, 20 ] ], 1, "241:12", [ "Z", 241, 1 ],
3855  [ [ [ Z(241)^20 ] ] ] ],
3856[ 10, 3615, 2, "1", [ [ 15, 16 ] ], 1, "241:15", [ "Z", 241, 1 ],
3857  [ [ [ Z(241)^16 ] ] ] ],
3858[ 11, 3856, 2, "1", [ [ 16, 15 ] ], 1, "241:16", [ "Z", 241, 1 ],
3859  [ [ [ Z(241)^15 ] ] ] ],
3860[ 12, 4820, 2, "1", [ [ 20, 12 ] ], 1, "241:20", [ "Z", 241, 1 ],
3861  [ [ [ Z(241)^12 ] ] ] ],
3862[ 13, 5784, 2, "1", [ [ 24, 10 ] ], 1, "241:24", [ "Z", 241, 1 ],
3863  [ [ [ Z(241)^10 ] ] ] ],
3864[ 14, 7230, 2, "1", [ [ 30, 8 ] ], 1, "241:30", [ "Z", 241, 1 ],
3865  [ [ [ Z(241)^8 ] ] ] ],
3866[ 15, 9640, 2, "1", [ [ 40, 6 ] ], 1, "241:40", [ "Z", 241, 1 ],
3867  [ [ [ Z(241)^6 ] ] ] ],
3868[ 16, 11568, 2, "1", [ [ 48, 5 ] ], 1, "241:48", [ "Z", 241, 1 ],
3869  [ [ [ Z(241)^5 ] ] ] ],
3870[ 17, 14460, 2, "1", [ [ 60, 4 ] ], 1, "241:60", [ "Z", 241, 1 ],
3871  [ [ [ Z(241)^4 ] ] ] ],
3872[ 18, 19280, 2, "1", [ [ 80, 3 ] ], 1, "241:80", [ "Z", 241, 1 ],
3873  [ [ [ Z(241)^3 ] ] ] ],
3874[ 19, 28920, 2, "1", [ [ 120, 2 ] ], 1, "241:120", [ "Z", 241, 1 ],
3875  [ [ [ Z(241)^2 ] ] ] ],
3876[ 20, 57840, 2, "1", [ [ 240, 1 ] ], 2, "AGL(1, 241)", [ "Z", 241, 1 ],
3877  [ [ [ Z(241) ] ] ] ],
3878[21, Factorial(241)/2,1,"2",[[240,1]],239, "Alt(241)", ["A",241, 1], "Alt"],
3879[22, Factorial(241),0,"2",[[240, 1]],241, "Sym(241)", ["A",241, 1], "Sym"]];
3880PRIMGRP[242]:=
3881[[ 1, 6998640, 1, "2", [ [ 241, 1 ] ], 2, "PSL(2, 241)",
3882  [ "L", [ 2, 241 ], 1 ], "psl" ],
3883[ 2, 13997280, 0, "2", [ [ 241, 1 ] ], 3, "PGL(2, 241)",
3884  [ "L", [ 2, 241 ], 1 ], "pgl" ],
3885[3, Factorial(242)/2,1,"2",[[241,1]],240, "Alt(242)", ["A",242, 1], "Alt"],
3886[4, Factorial(242),0,"2",[[241, 1]],242, "Sym(242)", ["A",242, 1], "Sym"]];
3887PRIMGRP[243]:=
3888[[ 1, 2673, 2, "1", [ [ 11, 22 ] ], 1, "", [ "Z", 3, 5 ],
3889  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
3890          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3891          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3892          [ Z(3), Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ],
3893          [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3), Z(3) ] ],
3894      [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
3895          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3896          [ 0*Z(3), Z(3)^0, Z(3), Z(3)^0, Z(3) ],
3897          [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3), Z(3) ],
3898          [ Z(3)^0, 0*Z(3), Z(3), Z(3), Z(3)^0 ] ] ] ],
3899[ 2, 5346, 2, "1", [ [ 22, 11 ] ], 1, "", [ "Z", 3, 5 ],
3900  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
3901          [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ],
3902          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3903          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ],
3904          [ Z(3), 0*Z(3), Z(3), Z(3), Z(3)^0 ] ],
3905      [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
3906          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3907          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3908          [ Z(3), 0*Z(3), Z(3), Z(3), Z(3)^0 ],
3909          [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ] ] ] ],
3910[ 3, 13365, 2, "1", [ [ 11, 2 ], [ 55, 4 ] ], 1, "", [ "Z", 3, 5 ],
3911  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
3912          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
3913          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3914          [ Z(3)^0, Z(3), Z(3), Z(3)^0, 0*Z(3) ],
3915          [ Z(3), Z(3), Z(3), 0*Z(3), Z(3) ] ],
3916      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
3917          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3918          [ Z(3), Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ],
3919          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
3920          [ 0*Z(3), Z(3)^0, Z(3), Z(3)^0, Z(3)^0 ] ] ] ],
3921[ 4, 19440, 2, "1", [ [ 80, 1 ], [ 16, 2 ], [ 40, 2 ], [ 20, 2 ], [ 10, 1 ] ],
3922  1, "", [ "Z", 3, 5 ],
3923  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
3924              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3925          [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ],
3926          [ Z(3), Z(3), Z(3), 0*Z(3), Z(3) ] ],
3927      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
3928          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3929          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3930          [ Z(3)^0, Z(3), Z(3), Z(3)^0, 0*Z(3) ],
3931          [ Z(3)^0, Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ] ] ] ],
3932[ 5, 26730, 2, "1", [ [ 22, 1 ], [ 110, 2 ] ], 1, "", [ "Z", 3, 5 ],
3933  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
3934          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3935          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3936          [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ],
3937          [ Z(3), 0*Z(3), Z(3), Z(3), Z(3)^0 ] ],
3938      [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
3939          [ Z(3), Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ],
3940          [ Z(3), Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ],
3941          [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
3942          [ Z(3), 0*Z(3), Z(3), Z(3), Z(3)^0 ] ] ] ],
3943[ 6, 29403, 2, "1", [ [ 121, 2 ] ], 1, "", [ "Z", 3, 5 ],
3944  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
3945          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3946          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3947          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
3948          [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ] ],
3949      [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
3950          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3951          [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3)^0, Z(3)^0 ],
3952          [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ],
3953          [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3), Z(3) ] ] ] ],
3954[ 7, 38880, 2, "1", [ [ 80, 1 ], [ 40, 2 ], [ 20, 2 ], [ 10, 1 ], [ 32, 1 ] ],
3955  1, "", [ "Z", 3, 5 ],
3956  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
3957              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3958          [ 0*Z(3), Z(3)^0, Z(3), Z(3), 0*Z(3) ],
3959          [ Z(3)^0, 0*Z(3), Z(3), Z(3), Z(3)^0 ] ],
3960      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
3961          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3962          [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ],
3963          [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
3964          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] ] ],
3965[ 8, 38880, 2, "1", [ [ 80, 1 ], [ 16, 2 ], [ 40, 2 ], [ 20, 2 ], [ 10, 1 ] ],
3966  1, "", [ "Z", 3, 5 ],
3967  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
3968              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3969          [ 0*Z(3), Z(3)^0, Z(3), Z(3)^0, Z(3)^0 ],
3970          [ Z(3), Z(3), Z(3), 0*Z(3), Z(3) ] ],
3971      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
3972          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3973          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3974          [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3), Z(3)^0 ],
3975          [ Z(3), Z(3), 0*Z(3), Z(3), Z(3) ] ] ] ],
3976[ 9, 38880, 2, "1", [ [ 80, 1 ], [ 40, 2 ], [ 20, 2 ], [ 10, 1 ], [ 32, 1 ] ],
3977  1, "", [ "Z", 3, 5 ],
3978  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
3979              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3980          [ Z(3), 0*Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ],
3981          [ Z(3), Z(3), Z(3), 0*Z(3), Z(3) ] ],
3982      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
3983          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3984          [ Z(3), Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ],
3985          [ Z(3)^0, Z(3), Z(3), Z(3)^0, 0*Z(3) ],
3986          [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3), Z(3) ] ] ] ],
3987[ 10, 58806, 2, "1", [ [ 242, 1 ] ], 2, "", [ "Z", 3, 5 ],
3988  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
3989          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
3990          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3991          [ Z(3), Z(3), Z(3), 0*Z(3), 0*Z(3) ],
3992          [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3)^0, Z(3) ] ],
3993      [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
3994          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
3995          [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
3996          [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3)^0, Z(3) ],
3997          [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3), Z(3)^0 ] ] ] ],
3998[ 11, 77760, 2, "1", [ [ 80, 2 ], [ 16, 2 ], [ 40, 1 ], [ 10, 1 ] ], 1, "",
3999  [ "Z", 3, 5 ],
4000  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
4001              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4002          [ Z(3), Z(3), 0*Z(3), Z(3), 0*Z(3) ],
4003          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ],
4004      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4005          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4006          [ Z(3), Z(3), 0*Z(3), Z(3), 0*Z(3) ],
4007          [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ],
4008          [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ] ] ] ],
4009[ 12, 77760, 2, "1", [ [ 80, 1 ], [ 40, 2 ], [ 20, 2 ], [ 10, 1 ], [ 32, 1 ] ]
4010    , 1, "", [ "Z", 3, 5 ],
4011  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
4012              0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4013          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4014          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ],
4015      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4016          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4017          [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4018          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ],
4019          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ] ] ],
4020[ 13, 77760, 2, "1", [ [ 80, 2 ], [ 40, 1 ], [ 10, 1 ], [ 32, 1 ] ], 1, "",
4021  [ "Z", 3, 5 ],
4022  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
4023              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4024          [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4025          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ],
4026      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4027          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4028          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4029          [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ],
4030          [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] ] ] ],
4031[ 14, 147015, 2, "1", [ [ 121, 2 ] ], 1, "", [ "Z", 3, 5 ],
4032  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4033          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4034          [ Z(3), Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ],
4035          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4036          [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ] ],
4037      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4038          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4039          [ 0*Z(3), Z(3), Z(3), Z(3)^0, 0*Z(3) ],
4040          [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3), Z(3) ],
4041          [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ] ] ] ],
4042[ 15, 155520, 2, "1", [ [ 80, 2 ], [ 40, 1 ], [ 10, 1 ], [ 32, 1 ] ], 1, "",
4043  [ "Z", 3, 5 ],
4044  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
4045              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4046          [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4047          [ Z(3), 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ] ],
4048      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4049          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4050          [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4051          [ 0*Z(3), Z(3), Z(3), Z(3)^0, 0*Z(3) ],
4052          [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3), Z(3) ] ] ] ],
4053[ 16, 294030, 2, "1", [ [ 242, 1 ] ], 2, "", [ "Z", 3, 5 ],
4054  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4055          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4056          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4057          [ 0*Z(3), Z(3)^0, Z(3), Z(3), Z(3) ],
4058          [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ] ],
4059      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4060          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4061          [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0, Z(3) ],
4062          [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4063          [ Z(3), 0*Z(3), Z(3), Z(3), 0*Z(3) ] ] ] ],
4064[ 17, 115562653240320, 0, "1", [ [ 242, 1 ] ], 2, "AGL(5, 3)", [ "Z", 3, 5 ],
4065  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4066          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4067          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4068          [ Z(3)^0, Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ],
4069          [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3), Z(3) ] ],
4070      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4071          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4072          [ Z(3), Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ],
4073          [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ],
4074          [ Z(3)^0, Z(3)^0, Z(3), Z(3), Z(3) ] ] ] ],
4075[ 18, 57781326620160, 0, "1", [ [ 242, 1 ] ], 2, "ASL(5, 3)", [ "Z", 3, 5 ],
4076  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4077          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4078          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4079          [ Z(3)^0, Z(3), Z(3)^0, Z(3), 0*Z(3) ],
4080          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ] ],
4081      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4082          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4083          [ Z(3)^0, Z(3), Z(3), 0*Z(3), 0*Z(3) ],
4084          [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3), Z(3)^0 ],
4085          [ 0*Z(3), Z(3), Z(3), Z(3)^0, Z(3) ] ] ] ],
4086[ 19, 233280, 0, "1", [ [ 80, 2 ], [ 16, 2 ], [ 40, 1 ], [ 10, 1 ] ], 1,
4087  "3^5:(2^4:Alt(5))", [ "Z", 3, 5 ],
4088  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4089          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4090          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4091          [ Z(3), Z(3), 0*Z(3), Z(3), Z(3) ],
4092          [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ] ],
4093      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4094          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4095          [ Z(3), Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ],
4096          [ Z(3), Z(3), 0*Z(3), Z(3), Z(3) ],
4097          [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ] ] ],
4098[ 20, 466560, 0, "1", [ [ 80, 2 ], [ 16, 2 ], [ 40, 1 ], [ 10, 1 ] ], 1,
4099  "3^5:(2^4:Sym(5))", [ "Z", 3, 5 ],
4100  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4101          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4102          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4103          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ],
4104          [ Z(3), Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ] ],
4105      [ [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4106          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4107          [ Z(3), Z(3)^0, Z(3)^0, Z(3), Z(3) ],
4108          [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3)^0, Z(3)^0 ],
4109          [ Z(3)^0, Z(3), Z(3), Z(3)^0, 0*Z(3) ] ] ] ],
4110[ 21, 466560, 0, "1", [ [ 80, 2 ], [ 40, 1 ], [ 10, 1 ], [ 32, 1 ] ], 1,
4111  "3^5:(2 wreath Alt(5))", [ "Z", 3, 5 ],
4112  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4113          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4114          [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4115          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ],
4116          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ],
4117      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4118          [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4119          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4120          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4121          [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ],
4122[ 22, 466560, 0, "1", [ [ 80, 2 ], [ 40, 1 ], [ 10, 1 ], [ 32, 1 ] ], 1,
4123  "3^5:(2^4:Sym(5))", [ "Z", 3, 5 ],
4124  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4125          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4126          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4127          [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ],
4128          [ 0*Z(3), Z(3), Z(3), Z(3)^0, 0*Z(3) ] ],
4129      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4130          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4131          [ Z(3), Z(3), 0*Z(3), Z(3)^0, Z(3) ],
4132          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ],
4133          [ Z(3), Z(3), Z(3)^0, Z(3)^0, Z(3) ] ] ] ],
4134[ 23, 933120, 0, "1", [ [ 80, 2 ], [ 40, 1 ], [ 10, 1 ], [ 32, 1 ] ], 1,
4135  "3^5:(2 wreath Sym(5))", [ "Z", 3, 5 ],
4136  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4137          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4138          [ Z(3)^0, Z(3), Z(3)^0, Z(3), 0*Z(3) ],
4139          [ 0*Z(3), Z(3), 0*Z(3), Z(3), Z(3) ],
4140          [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ] ],
4141      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4142          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4143          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4144          [ 0*Z(3), Z(3), 0*Z(3), Z(3), 0*Z(3) ],
4145          [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ] ] ] ],
4146[ 24, 6298560, 0, "1", [ [ 90, 1 ], [ 80, 1 ], [ 72, 1 ] ], 1, "3^5:O(5, 3)",
4147  [ "Z", 3, 5 ],
4148  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
4149              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4150          [ Z(3), Z(3), 0*Z(3), Z(3), Z(3)^0 ],
4151          [ 0*Z(3), Z(3), Z(3), 0*Z(3), Z(3) ] ],
4152      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4153          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4154          [ Z(3), 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ],
4155          [ 0*Z(3), Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ],
4156          [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ] ] ],
4157[ 25, 12597120, 0, "1", [ [ 90, 1 ], [ 80, 1 ], [ 72, 1 ] ], 1,
4158  "3^5:(2 x O(5, 3))", [ "Z", 3, 5 ],
4159  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4160          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4161          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4162          [ Z(3), 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ],
4163          [ Z(3), Z(3)^0, Z(3), 0*Z(3), Z(3)^0 ] ],
4164      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4165          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4166          [ Z(3), 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ],
4167          [ Z(3)^0, 0*Z(3), Z(3), Z(3)^0, Z(3) ],
4168          [ Z(3), Z(3), 0*Z(3), Z(3), Z(3) ] ] ] ],
4169[ 26, 12597120, 0, "1", [ [ 90, 1 ], [ 80, 1 ], [ 72, 1 ] ], 1,
4170  "3^5:SO(5, 3)", [ "Z", 3, 5 ],
4171  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4172          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4173          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4174          [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3), Z(3) ],
4175          [ Z(3), Z(3), Z(3), Z(3)^0, Z(3) ] ],
4176      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4177          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4178          [ Z(3)^0, 0*Z(3), Z(3), Z(3)^0, Z(3)^0 ],
4179          [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3), Z(3) ],
4180          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, Z(3) ] ] ] ],
4181[ 27, 12597120, 0, "1", [ [ 90, 1 ], [ 80, 1 ], [ 72, 1 ] ], 1,
4182  "3^5:SO(5, 3)", [ "Z", 3, 5 ],
4183  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4184          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4185          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4186          [ 0*Z(3), 0*Z(3), Z(3), Z(3), Z(3) ],
4187          [ Z(3), 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ] ],
4188      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4189          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4190          [ Z(3)^0, 0*Z(3), Z(3), Z(3)^0, Z(3) ],
4191          [ Z(3), Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ],
4192          [ Z(3), Z(3), 0*Z(3), Z(3), Z(3) ] ] ] ],
4193[ 28, 25194240, 0, "1", [ [ 90, 1 ], [ 80, 1 ], [ 72, 1 ] ], 1,
4194  "3^5:GO(5, 3)", [ "Z", 3, 5 ],
4195  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4196          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4197          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4198          [ 0*Z(3), Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ],
4199          [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ] ],
4200      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4201          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4202          [ Z(3), Z(3), Z(3)^0, Z(3)^0, Z(3) ],
4203          [ Z(3), Z(3), Z(3), Z(3), 0*Z(3) ],
4204          [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3), Z(3) ] ] ] ],
4205[ 29, 3849120, 0, "1", [ [ 22, 1 ], [ 220, 1 ] ], 1, "3^5:(2 x M_11)",
4206  [ "Z", 3, 5 ],
4207  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
4208              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4209          [ Z(3), Z(3)^0, Z(3)^0, 0*Z(3), Z(3) ],
4210          [ 0*Z(3), Z(3), Z(3)^0, Z(3), Z(3)^0 ] ],
4211      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4212          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4213          [ Z(3)^0, Z(3)^0, Z(3), Z(3), 0*Z(3) ],
4214          [ 0*Z(3), Z(3), Z(3)^0, Z(3), Z(3)^0 ],
4215          [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] ] ] ],
4216[ 30, 1924560, 0, "1", [ [ 22, 1 ], [ 220, 1 ] ], 1, "3^5:M_11",
4217  [ "Z", 3, 5 ],
4218  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
4219              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4220          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4221          [ Z(3)^0, Z(3), 0*Z(3), Z(3), 0*Z(3) ] ],
4222      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4223          [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ],
4224          [ 0*Z(3), Z(3), Z(3), Z(3)^0, 0*Z(3) ],
4225          [ Z(3)^0, Z(3)^0, Z(3)^0, 0*Z(3), Z(3) ],
4226          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ] ] ] ],
4227[ 31, 3849120, 0, "1", [ [ 110, 1 ], [ 132, 1 ] ], 1, "3^5:(2 x M_11)",
4228  [ "Z", 3, 5 ],
4229  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
4230              0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), Z(3), Z(3), 0*Z(3) ],
4231          [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3), Z(3) ],
4232          [ 0*Z(3), Z(3)^0, Z(3), Z(3)^0, Z(3) ] ],
4233      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4234          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4235          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4236          [ Z(3), Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0 ],
4237          [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ] ] ],
4238[ 32, 1924560, 0, "1", [ [ 110, 1 ], [ 132, 1 ] ], 1, "3^5:M_11",
4239  [ "Z", 3, 5 ],
4240  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0,
4241              0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4242          [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ],
4243          [ Z(3), Z(3), Z(3), 0*Z(3), Z(3) ] ],
4244      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4245          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4246          [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ],
4247          [ Z(3), Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4248          [ 0*Z(3), Z(3)^0, Z(3), Z(3), Z(3) ] ] ] ],
4249[ 33, 320760, 0, "1", [ [ 22, 1 ], [ 110, 2 ] ], 1,
4250  "3^5:(2 x PSL(2, 11))", [ "Z", 3, 5 ],
4251  [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4252          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4253          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4254          [ Z(3), 0*Z(3), 0*Z(3), Z(3), Z(3) ],
4255          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ] ],
4256      [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4257          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4258          [ Z(3)^0, Z(3), Z(3), 0*Z(3), Z(3) ],
4259          [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4260          [ Z(3), Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ] ] ] ],
4261[ 34, 160380, 0, "1", [ [ 11, 2 ], [ 55, 2 ], [ 110, 1 ] ], 1,
4262  "3^5:L(2, 11)", [ "Z", 3, 5 ],
4263  [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ],
4264          [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
4265          [ Z(3), Z(3), Z(3), 0*Z(3), 0*Z(3) ],
4266          [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ],
4267          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3), Z(3) ] ],
4268      [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ],
4269          [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ],
4270          [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ],
4271          [ Z(3), Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ],
4272          [ Z(3)^0, 0*Z(3), Z(3), Z(3), Z(3)^0 ] ] ] ],
4273[35, Factorial(243)/2,1,"2",[[242,1]],241, "Alt(243)", ["A",243, 1], "Alt"],
4274[36, Factorial(243),0,"2",[[242, 1]],243, "Sym(243)", ["A",243, 1], "Sym"]];
4275PRIMGRP[244]:=
4276[[ 1, 7174332, 1, "2", [ [ 243, 1 ] ], 2, "PSL(2, 3^5)",
4277  [ "L", [ 2, 243 ], 1 ],
4278  [ (  3, 87,123, 78,214,115, 25,145,147,110, 90,188,232,170,151, 38,225, 76,
4279          94,236,  8,165,177, 71,172,141, 56, 81,242,227,231,210,200,184,243,
4280         189, 32, 97, 74,138, 49, 83,183, 61, 53, 28,101, 57, 18, 72,241,212,
4281         116, 45,103,140, 91,193,126, 29,112, 42, 12,125, 44, 55,238, 73,223,
4282          10,180, 89, 36,155,  7, 50, 51,217,181,104,178,208,201,154,142,161,
4283          31,206,230,113, 95,133,213,220,185, 48,187,111, 79, 88,128, 21,179,
4284         127, 99,228,130,129,233, 40, 23, 65,221,162, 52, 43, 98,167,163, 13,
4285         139)(  4, 63, 47, 37, 16, 20,  5,166,191,106, 75,176, 70, 82,239, 11,
4286         153,171, 22,209, 96, 77, 15, 59,157,137,100,102,222,132, 33,169,124,
4287         160,244,108,234, 84, 80,149,204,195, 85, 26,182,224,207, 14,118,117,
4288          19,148,120, 68,226,119,159,168,136, 60,199, 62, 27, 34,114,152,134,
4289          17, 41,216, 86,105, 93, 46, 39, 69,143, 66, 30,196,197,240, 92,211,
4290         158, 67,237, 24,174,  9,192,203,122,235,205,135,218,121, 54,156,107,
4291         144,202,131, 35,  6,175,229,190,146,219,194,186, 64,164,198,109,173,
4292         150,215, 58), (  1,133,  2)(  3,174,187)(  4,234,203)(  5,190, 82)
4293        (  6,134, 66)(  7,109, 43)(  8, 76,100)(  9, 16,244)( 10, 63, 52)
4294        ( 11, 41,182)( 12,148, 89)( 13, 19, 38)( 14,194,192)( 15,221,241)
4295        ( 17, 40,147)( 18, 86,238)( 20, 32,177)( 21,105,232)( 22,130,112)
4296        ( 23,227,224)( 24,157,153)( 25,237,213)( 26, 68,169)( 27,184,113)
4297        ( 28,204, 88)( 29,199, 55)( 30,108,239)( 31, 84, 42)( 33,212,127)
4298        ( 34,220,242)( 35,102,173)( 36,197,200)( 37,162,223)( 39,139, 65)
4299        ( 44,160,206)( 45,155,136)( 46,175,216)( 48,122,163)( 49,202,183)
4300        ( 50,132,178)( 51,229, 87)( 53, 83,156)( 54, 77,191)( 56, 75, 81)
4301        ( 57,115,176)( 58,138,141)( 59,165,236)( 60, 96,118)( 61,211,126)
4302        ( 62, 74,161)( 64, 99,230)( 67,225,154)( 69,125,101)( 70,185,181)
4303        ( 71,114,111)( 72,226,208)( 73,106,233)( 78, 85, 94)( 79, 97,117)
4304        ( 80,146,144)( 90,135,104)( 91,151,164)( 92,205, 93)( 95,149,140)
4305        ( 98,119,170)(103,137,228)(107,145,217)(110,201,235)(116,124,128)
4306        (120,159,209)(121,193,231)(123,167,152)(129,179,218)(131,188,180)
4307        (142,143,172)(150,207,158)(166,195,196)(168,219,240)(171,215,186)
4308        (189,243,198)(210,214,222) ] ],
4309[ 2, 14348664, 0, "2", [ [ 243, 1 ] ], 3, "PGL(2, 3^5)",
4310  [ "L", [ 2, 243 ], 1 ],
4311  [ (  1,103,189,215,197, 15,157, 14,241,120, 99,158,128, 52, 40,132,199, 32,
4312         238, 13,107,123, 90, 98, 62, 95, 35, 33,  6,224, 61,154, 25, 34,195,
4313         231, 67, 38, 59, 44,180,211,242,134,119,140,111,191,227,144,153, 24,
4314         117,198,172,145,143, 83,116, 80, 88, 55, 71,165,184,146,223, 46,138,
4315         126, 50, 20, 79, 58,181,164, 21,163,225,207,233, 75,177,243,200, 65,
4316         217,240, 78,151, 26, 18,210, 16, 86,124,131, 22, 56,194,104,  3,114,
4317          68, 81,234,130,221,218, 49,244,141, 30,159, 72,220,232, 39,239,  9,
4318          11, 31,136,112, 28, 45,209,193, 23,236, 60,192, 73, 12, 51,108, 36,
4319          17,115, 93,135,121,149,  4,  8, 87,  2,  7,203,206,137, 69,235,168,
4320         226,237,214,125, 84, 77,173, 96,102, 89, 76, 82,  5,101, 94, 53,208,
4321         185,196, 10,187,109, 41,216,219,171,176, 91,170,174, 29, 57, 43, 85,
4322          63,161,142, 70,127,166,105,230,118,186,155,229,213,133,150, 66, 42,
4323         147,167,169,183,139,190,202,106, 19,148, 37,178,129,204,201, 48,188,
4324          97,110, 64,175, 74,228,122,156, 47, 54, 92,162,212,160,152, 27,100,
4325         182,205,113,222,179),
4326      (  1,235,204,143,167, 84,133, 31,169, 63,205, 10,171,195,134,103, 93,
4327         159, 49, 66,160,201,200,236,148,237,123,242,162, 71,108,177, 68, 19,
4328         226,182,180,206, 12, 82,132,158,156,112, 75, 26,161,230, 23,176, 96,
4329         215,101,190,102,138,137,178, 28, 45,179)(  2, 14,218, 35,216, 78,219,
4330         87, 83,131,231,147, 76,149, 62,114,130, 94,  9,241, 55,139, 38, 24,
4331          27,196,228, 48, 88,187,  5, 52, 20,234,  4,100,125, 79,106,173, 17,
4332          98, 36,146,220,217,135,154,233,188,197,140, 81,163, 34,136,221,124,
4333         155, 40, 91)(  3, 54,183,214,117,202, 60,175, 13,198,141,150,105,184,
4334         203,121,118,192, 58,240, 77,165,232, 15,213,238, 90,104, 74, 42, 89,
4335         151,  6, 46,110,142, 67, 70, 56,199, 39, 97, 85,244,208,224, 32,189,
4336          18,191,107,207, 11,  7,119, 16,122, 59,120, 80, 92)(  8,144,164, 64,
4337         99, 41, 43,129,186, 50,113, 47,225, 44,152,209, 51, 53,239, 30,174,
4338         194, 86, 22,211,168, 25,153,166,145,223,227, 29, 21,116,126,109,181,
4339         210, 37,243, 33, 61, 95, 57,128,157,229,212,222, 73, 65,111,115,193,
4340         172,185, 69,170,127, 72) ] ],
4341[ 3, 35871660, 0, "2", [ [ 243, 1 ] ], 2, "PSigmaL(2, 3^5)",
4342  [ "L", [ 2, 243 ], 1 ],
4343  [ (  1,130, 33,187,151,170,233,  5, 69, 93,159, 55,235,208,180)
4344        (  2,117, 29,203,204, 47,101, 15, 54,166,179,135,231,168, 66)
4345        (  3,120,  9,113,152, 13,222, 25, 84,183, 71,237,123,171,160)
4346        (  4, 21,126,134, 67,199, 28,186,209,177,211,229, 83, 31,194)
4347        (  6,176, 82, 14, 92, 12, 48,238,188,157, 76, 99,169,  8,178)
4348        (  7,110, 87, 56,226, 17,241,197,195,214,193,145, 70, 77, 89)
4349        ( 10,202, 61,129,200,106,148, 96,163,115,158, 22,210,147, 37)
4350        ( 11, 90, 91, 43,198,141, 24,161,213, 98,239,201,234,167, 60)
4351        ( 16, 36,154,227, 62, 53,142,119,149,242, 65, 80, 23, 64,116)
4352        ( 18, 58, 75, 63,223, 85,139,143,240, 59,217,114, 20,174, 44)
4353        ( 19,205, 32,243,131,105, 41,140, 35,118, 94,220,230,236, 68)
4354        ( 26, 78, 30, 45,215,182,138,103, 39,136, 95,181,173, 79,218)
4355        ( 27, 34,128,155,111, 42,124, 49,164,190,144,232, 46,137,191)
4356        ( 38,165, 73, 52,244,175,216, 74,207,121, 50, 88,153,156,189)
4357        ( 40,224,112, 86,133,192,102,104,107,196,162, 72, 81,172,146)
4358        ( 51,206,219,122,212,221,150,185,228,108, 97,125,225,184, 57)
4359        (100,127,109), (  1, 60,197)(  2, 17,  4,126, 58, 92,136, 83,220,193,
4360          62,160,105, 64,169)(  3, 30,119,108,244,179,150,170,110, 87, 74, 42,
4361         21,141,202)(  5,184,190,138, 63,171,192,211,187,109,210,198, 39,217,
4362          23)(  6,227,104,181, 29, 57,118,221,139,133,155,  7, 36, 75,128)
4363        (  8,134,143,122,223, 77, 26, 46, 52,175,219,146,162,107,116)
4364        (  9, 55, 67,222,206, 85, 56,113,228,186,182, 20,153,236,189)
4365        ( 10,142, 34, 89,144,154,117,225,176, 90,127,195, 59,218, 80)
4366        ( 11,174, 33, 70,166,212,114, 14,196, 49,232, 84,130,151, 22)
4367        ( 12, 18,213,231, 25, 95, 78,205,234,224, 19,235,194,214,106)
4368        ( 13, 94, 99,229, 50,115, 79,168,149,112, 31,129,201, 51,200)
4369        ( 15,163,102,121,226, 24,145,241,156,215,135, 61,173,120,207)
4370        ( 16,233,111,137, 48, 40, 38, 44,209, 43,159,203,237,230,147)
4371        ( 27,101,172, 28,238,191, 37, 71, 76, 91,125,239, 93,123,167)
4372        ( 32, 73, 97,178,103, 96,204, 82,243, 45, 86,131, 47,180,216)
4373        ( 35,188, 98,183,161, 66,208,158,132, 41, 68,165,185, 65,152)
4374        ( 53,124,177,157,140,100, 54,242, 81,199,148, 69,240,164, 72) ] ],
4375[ 4, 71743320, 0, "2", [ [ 243, 1 ] ], 3, "PGammaL(2, 3^5)",
4376  [ "L", [ 2, 243 ], 1 ],
4377  [ (  3,235, 87,205,123,135, 78,218,214,121,115, 54, 25,156,145,107,147,144,
4378         110,202, 90,131,188, 35,232,  6,170,175,151,229, 38,190,225,146, 76,
4379         219, 94,194,236,186,  8, 64,165,164,177,198, 71,109,172,173,141,150,
4380          56,215, 81, 58,242,  4,227, 63,231, 47,210, 37,200, 16,184, 20,243,
4381           5,189,166, 32,191, 97,106, 74, 75,138,176, 49, 70, 83, 82,183,239,
4382          61, 11, 53,153, 28,171,101, 22, 57,209, 18, 96, 72, 77,241, 15,212,
4383          59,116,157, 45,137,103,100,140,102, 91,222,193,132,126, 33, 29,169,
4384         112,124, 42,160, 12,244,125,108, 44,234, 55, 84,238, 80, 73,149,223,
4385         204, 10,195,180, 85, 89, 26, 36,182,155,224,  7,207, 50, 14, 51,118,
4386         217,117,181, 19,104,148,178,120,208, 68,201,226,154,119,142,159,161,
4387         168, 31,136,206, 60,230,199,113, 62, 95, 27,133, 34,213,114,220,152,
4388         185,134, 48, 17,187, 41,111,216, 79, 86, 88,105,128, 93, 21, 46,179,
4389          39,127, 69, 99,143,228, 66,130, 30,129,196,233,197, 40,240, 23, 92,
4390          65,211,221,158,162, 67, 52,237, 43, 24, 98,174,167,  9,163,192, 13,
4391         203,139,122), (  1,133,  2)(  3,174,187)(  4,234,203)(  5,190, 82)
4392        (  6,134, 66)(  7,109, 43)(  8, 76,100)(  9, 16,244)( 10, 63, 52)
4393        ( 11, 41,182)( 12,148, 89)( 13, 19, 38)( 14,194,192)( 15,221,241)
4394        ( 17, 40,147)( 18, 86,238)( 20, 32,177)( 21,105,232)( 22,130,112)
4395        ( 23,227,224)( 24,157,153)( 25,237,213)( 26, 68,169)( 27,184,113)
4396        ( 28,204, 88)( 29,199, 55)( 30,108,239)( 31, 84, 42)( 33,212,127)
4397        ( 34,220,242)( 35,102,173)( 36,197,200)( 37,162,223)( 39,139, 65)
4398        ( 44,160,206)( 45,155,136)( 46,175,216)( 48,122,163)( 49,202,183)
4399        ( 50,132,178)( 51,229, 87)( 53, 83,156)( 54, 77,191)( 56, 75, 81)
4400        ( 57,115,176)( 58,138,141)( 59,165,236)( 60, 96,118)( 61,211,126)
4401        ( 62, 74,161)( 64, 99,230)( 67,225,154)( 69,125,101)( 70,185,181)
4402        ( 71,114,111)( 72,226,208)( 73,106,233)( 78, 85, 94)( 79, 97,117)
4403        ( 80,146,144)( 90,135,104)( 91,151,164)( 92,205, 93)( 95,149,140)
4404        ( 98,119,170)(103,137,228)(107,145,217)(110,201,235)(116,124,128)
4405        (120,159,209)(121,193,231)(123,167,152)(129,179,218)(131,188,180)
4406        (142,143,172)(150,207,158)(166,195,196)(168,219,240)(171,215,186)
4407        (189,243,198)(210,214,222), (  3,112, 13,103, 21)(  4,173,  6,216, 92)
4408        (  5,239, 80,219,158)(  7, 49, 29, 98, 28)(  8,139,193, 23, 81)
4409        (  9, 77, 60,120,169)( 10,141,151,179, 78)( 11,195,215,194, 24)
4410        ( 12,214, 36,243, 83)( 14,153,182,166,171)( 15, 27, 62,136,117)
4411        ( 16,191, 96,159, 26)( 17,143,131, 34,114)( 18,154, 73,236,167)
4412        ( 19,137,105,174, 22)( 20,176,132,211, 37)( 25,181,116, 48,127)
4413        ( 30,146,240,150,190)( 31, 51,101,217, 72)( 32, 57,178,126,162)
4414        ( 33,237, 70,124,122)( 35,134, 46,205,234)( 38,228,232,187,130)
4415        ( 39,121,224, 75,100)( 40,172,188,220,111)( 41,196,186,192,157)
4416        ( 42, 87,125,145,208)( 43,183, 55,170, 88)( 44, 90, 95,230,201)
4417        ( 45, 79,221,184, 74)( 50, 61,223,177,115)( 52,138, 91,129, 94)
4418        ( 53, 89,210,200,189)( 54,118,209, 68,244)( 56, 76, 65,231,227)
4419        ( 58,164,218, 85, 63)( 59,152, 86, 67,106)( 64,235,160,135,149)
4420        ( 66,175, 93,203,102)( 69,107,226, 84,229)( 71,147,142,180,242)
4421        ( 82,108,144,168,207)( 97,241,113,161,155)( 99,110,206,104,140)
4422        (109,202,199,119,204)(123,238,225,233,165)(128,163,212,213,185)
4423        (148,222,197,198,156) ] ],
4424[5, Factorial(244)/2,1,"2",[[243,1]],242, "Alt(244)", ["A",244, 1], "Alt"],
4425[6, Factorial(244),0,"2",[[243, 1]],244, "Sym(244)", ["A",244, 1], "Sym"]];
4426PRIMGRP[245]:=
4427[[1, Factorial(245)/2,1,"2",[[244,1]],243, "Alt(245)", ["A",245, 1], "Alt"],
4428[2, Factorial(245),0,"2",[[244, 1]],245, "Sym(245)", ["A",245, 1], "Sym"]];
4429PRIMGRP[246]:=
4430[[1, Factorial(246)/2,1,"2",[[245,1]],244, "Alt(246)", ["A",246, 1], "Alt"],
4431[2, Factorial(246),0,"2",[[245, 1]],246, "Sym(246)", ["A",246, 1], "Sym"]];
4432PRIMGRP[247]:=
4433[[1, Factorial(247)/2,1,"2",[[246,1]],245, "Alt(247)", ["A",247, 1], "Alt"],
4434[2, Factorial(247),0,"2",[[246, 1]],247, "Sym(247)", ["A",247, 1], "Sym"]];
4435PRIMGRP[248]:=
4436[[ 1, 14880, 1, "2", [ [ 12, 1 ], [ 5, 1 ], [ 60, 2 ], [ 30, 3 ], [ 20, 1 ] ],
4437  1, "PSL(2, 31)", [ "L", [ 2, 31 ], 1 ],
4438  [ (  1,  2,  4,  8,  3,  6, 12, 21, 37, 64,108,155,173,217,242)
4439        (  5, 10, 18, 31, 22, 39, 68,112, 72,116,109,  9, 16, 28, 49)
4440        (  7, 14, 13, 23, 41, 71, 52, 88,136, 38, 66, 61,104, 24, 43)
4441        ( 11, 20, 35, 60,102,148, 85, 74,120,166, 27, 48, 83, 29, 51)
4442        ( 15, 26, 46, 79,126,172,215, 84, 36, 62,105, 90,138,182,222)
4443        ( 17, 30, 53, 89,137,181,202, 87,135,179,221,156,106,153,198)
4444        ( 19, 33, 57, 97,132, 58, 99,145,191, 96,144,130,158,203,226)
4445        ( 25, 44, 76,122,169,103,150,125,170,193,231,210,147,180,177)
4446        ( 32, 56, 95,142,188,227,151,195,232,171,214,186,134,178,220)
4447        ( 34, 59,101,146,192,197,223,123, 98, 45, 78,124,117,164,207)
4448        ( 40, 70, 80,128,174,163,127,115,162,206, 82,131, 94,141,187)
4449        ( 42, 73,118,149,194, 65,110,157,201,230, 75,121,167, 54, 91)
4450        ( 47, 81,129,175,218,235,212,240, 55, 93,139,184,224,245, 77)
4451        ( 50, 86,133, 69,114,161,190,229,239,205, 63,107,154,199,234)
4452        ( 67,111,159)( 92,140,185,225,247,176,219,213,236,248,200,216,241,243,
4453         183)(100,119,165,208,113,160,204,143,189,228,152,196,233,209,237)
4454        (168,211,238,246,244), (  1,  3,  7)(  2,  5, 11)(  4,  9, 17)
4455        (  6, 13, 24)(  8, 15, 27)( 10, 19, 34)( 12, 22, 40)( 14, 25, 45)
4456        ( 16, 29, 52)( 18, 32, 51)( 20, 36, 63)( 21, 38, 67)( 23, 42, 74)
4457        ( 26, 47, 82)( 28, 50, 87)( 30, 54, 92)( 31, 55, 94)( 33, 58,100)
4458        ( 35, 61, 76)( 37, 65, 89)( 39, 69,115)( 41, 72,117)( 43, 75, 70)
4459        ( 44, 77,123)( 46, 80,108)( 48, 84,132)( 49, 85, 66)( 53, 90,139)
4460        ( 56, 96,129)( 57, 98,126)( 59, 68,113)( 60,103,151)( 62,106, 71)
4461        ( 64,109,156)( 73,119,162)( 78,125,171)( 79,127,173)( 81,130,176)
4462        ( 83,112, 93)( 86,134,175)( 88, 91,137)( 95,143,190)( 97,101,147)
4463        ( 99,141,118)(102,149,133)(105,152,197)(107,140,186)(110,158,198)
4464        (111,116,163)(114,135,180)(120,159,150)(121,168,124)(122,145,179)
4465        (128,172,216)(131,177,195)(136,157,202)(138,183,223)(142,185,226)
4466        (144,187,215)(146,170,213)(148,193,160)(153,194,189)(154,200,219)
4467        (155,201,207)(161,205,236)(164,167,199)(165,209,225)(166,210,238)
4468        (169,212,206)(174,182,188)(181,222,196)(192,230,227)(203,220,244)
4469        (204,235,232)(208,211,239)(214,228,241)(217,231,221)(218,243,233)
4470        (224,246,247)(229,237,240)(234,245,248) ] ],
4471[2, Factorial(248)/2,1,"2",[[247,1]],246, "Alt(248)", ["A",248, 1], "Alt"],
4472[3, Factorial(248),0,"2",[[247, 1]],248, "Sym(248)", ["A",248, 1], "Sym"]];
4473PRIMGRP[249]:=
4474[[1, Factorial(249)/2,1,"2",[[248,1]],247, "Alt(249)", ["A",249, 1], "Alt"],
4475[2, Factorial(249),0,"2",[[248, 1]],249, "Sym(249)", ["A",249, 1], "Sym"]];
4476PRIMGRP[250]:=
4477[[1, Factorial(250)/2,1,"2",[[249,1]],248, "Alt(250)", ["A",250, 1], "Alt"],
4478[2, Factorial(250),0,"2",[[249, 1]],250, "Sym(250)", ["A",250, 1], "Sym"]];
4479PRIMGRP[251]:=
4480[[ 1, 251, 3, "1", [ [ 1, 250 ] ], 1, "C(251)", [ "Z", 251, 1 ], [  ] ],
4481[ 2, 502, 2, "1", [ [ 2, 125 ] ], 1, "D(2*251)", [ "Z", 251, 1 ],
4482  [ [ [ Z(251)^125 ] ] ] ],
4483[ 3, 1255, 2, "1", [ [ 5, 50 ] ], 1, "251:5", [ "Z", 251, 1 ],
4484  [ [ [ Z(251)^50 ] ] ] ],
4485[ 4, 2510, 2, "1", [ [ 10, 25 ] ], 1, "251:10", [ "Z", 251, 1 ],
4486  [ [ [ Z(251)^25 ] ] ] ],
4487[ 5, 6275, 2, "1", [ [ 25, 10 ] ], 1, "251:25", [ "Z", 251, 1 ],
4488  [ [ [ Z(251)^10 ] ] ] ],
4489[ 6, 12550, 2, "1", [ [ 50, 5 ] ], 1, "251:50", [ "Z", 251, 1 ],
4490  [ [ [ Z(251)^5 ] ] ] ],
4491[ 7, 31375, 2, "1", [ [ 125, 2 ] ], 1, "251:125", [ "Z", 251, 1 ],
4492  [ [ [ Z(251)^2 ] ] ] ],
4493[ 8, 62750, 2, "1", [ [ 250, 1 ] ], 2, "AGL(1, 251)", [ "Z", 251, 1 ],
4494  [ [ [ Z(251) ] ] ] ],
4495[9, Factorial(251)/2,1,"2",[[250,1]],249, "Alt(251)", ["A",251, 1], "Alt"],
4496[10, Factorial(251),0,"2",[[250, 1]],251, "Sym(251)", ["A",251, 1], "Sym"]];
4497PRIMGRP[252]:=
4498[[ 1, 7906500, 1, "2", [ [ 251, 1 ] ], 2, "PSL(2, 251)",
4499  [ "L", [ 2, 251 ], 1 ], "psl" ],
4500[ 2, 15813000, 0, "2", [ [ 251, 1 ] ], 3, "PGL(2, 251)",
4501  [ "L", [ 2, 251 ], 1 ], "pgl" ],
4502[3, Factorial(252)/2,1,"2",[[251,1]],250, "Alt(252)", ["A",252, 1], "Alt"],
4503[4, Factorial(252),0,"2",[[251, 1]],252, "Sym(252)", ["A",252, 1], "Sym"]];
4504PRIMGRP[253]:=
4505[[ 1, 6072, 1, "2", [ [ 6, 2 ], [ 24, 5 ], [ 12, 10 ] ], 1, "PSL(2, 23)",
4506  [ "L", [ 2, 23 ], 1 ],
4507  [ (  1,  2,  4,  8, 15, 28, 51, 90,143,118,132)(  3,  6, 12, 22, 40, 72,117,
4508         148,205, 37, 67)(  5, 10, 19, 34, 62,105,163,182, 25, 46, 54)
4509        (  7, 14, 26, 47, 84,134,104,162, 82, 35, 64)(  9, 17, 32, 58, 98,154,
4510         210, 80,130,171, 87)( 11, 21, 38, 68, 75,123,179, 69,113, 29, 53)
4511        ( 13, 24, 44, 79,128,184,230,153,209, 52, 91)( 16, 30, 55, 94,147,203,
4512         85,136,194,237,187)( 18, 33, 60,101,157,211,245,168,219, 93,146)
4513        ( 20, 36, 66,109,167,217,248,200,231,222, 99)( 23, 42, 76,124,180,191,
4514         235,250,244,159,204)( 27, 49, 71,116,173,172,140,197,239,252,253)
4515        ( 31, 57, 96,150,206,242,249, 41, 74,121,176)( 39, 70,115,142,199,241,
4516         127,183,131,188,106)( 43, 78,126,169,220,212, 73,119,174,223,226)
4517        ( 45, 81, 97,152,108,166,216,229,161, 48, 86)( 50, 89,141,198,240,227,
4518         151,207,238,111,100)( 56, 95,149,189,233,185,213,236,251,138, 59)
4519        ( 61,103,160,156,114,122,178,208,129,186,232)( 63,107,165, 77,125,181,
4520         228,214,247,137,195)( 65, 92,145, 83,133,190,234,144,201,155,110)
4521        ( 88,139,196,215,246,218,102,158,164,193,202)(112,170,221,120,175,224,
4522         243,177,225,135,192), (  1,  3,  7)(  2,  5, 11)(  4,  9, 18)
4523        (  6, 13, 25)(  8, 16, 31)( 10, 20, 37)( 12, 23, 43)( 14, 27, 50)
4524        ( 15, 29, 54)( 17, 30, 56)( 19, 35, 65)( 21, 39, 71)( 22, 41, 75)
4525        ( 24, 45, 82)( 26, 48, 87)( 28, 52, 92)( 32, 59,100)( 33, 61,104)
4526        ( 34, 63,108)( 36, 64,107)( 38, 69,114)( 40, 73,120)( 42, 77, 91)
4527        ( 44, 80,131)( 46, 83, 76)( 47, 85,137)( 49, 88,140)( 51, 86,138)
4528        ( 53, 93, 55)( 57, 97,153)( 58, 99,156)( 60,102,159)( 62,106,164)
4529        ( 66,110,169)( 67,111,139)( 68,112,171)( 70,113,172)( 72,118,101)
4530        ( 74,122,124)( 78,127,126)( 79,129,187)( 81,132,189)( 84,135,193)
4531        ( 89,142,200)( 90,144,194)( 94,148,183)( 95,146,176)( 96,151,179)
4532        ( 98,155,123)(103,161,173)(109,168,216)(115,163,215)(116,152,208)
4533        (117,154,186)(119,130,150)(121,177,149)(125,182,229)(128,185,231)
4534        (133,165,205)(134,191,236)(136,192,223)(141,175,143)(145,202,225)
4535        (147,204,166)(157,212,207)(158,213,246)(160,214,220)(162,199,206)
4536        (167,218,237)(170,222,181)(174,201,198)(178,226,247)(180,227,195)
4537        (184,196,238)(188,224,235)(190,219,241)(197,209,243)(203,240,251)
4538        (210,244,239)(211,230,228)(217,242,253)(221,245,233)(232,249,234)
4539        (248,252,250) ] ],
4540[ 2, 12144, 0, "2", [ [ 12, 1 ], [ 24, 10 ] ], 1, "PGL(2, 23)",
4541  [ "L", [ 2, 23 ], 1 ],
4542  [ (  1,  2,  4,  8, 15, 28, 51, 87,137,196, 25, 47, 81, 76,122,180,234,111,
4543         167,223, 16, 30)(  3,  6, 12, 22, 41, 23, 43, 11, 21, 39, 69,114,170,
4544         141,189, 85,134,194,101,156,213,103)(  5, 10, 19, 35, 62,106,160,215,
4545         7, 14, 26)(  9, 17, 32, 57, 98,151, 95, 88,138,198, 46, 79,127,188,
4546         233,206,135,128,190, 20, 37, 66)( 13, 24, 45, 78,126,186,237, 44, 77,
4547         124,182,232,199,241,123,181,235, 97, 31, 56, 96,149)( 18, 34, 60,102,
4548         115,171,220,247,216,185,238, 65,110,165,219,226,250, 40, 71, 55, 94,
4549         147)( 27, 49, 54, 93,145,204,240, 84,133,173,175,230,208,245,125,184,
4550         148,207,116,172,228,158)( 29, 53, 91,143,202,218,222, 90,142,187,227,
4551         38, 68,113,169,225,248,179,209,224,249,214)( 33, 42, 74,120,177,139,
4552         119,176,231,251,253,132,193, 50, 86,136, 48, 83,130,166,221,146)
4553        ( 36, 64,109,164,162,210,183,211,195,243,246,236, 52, 89,140,200, 59,
4554          61,104, 58,100,154)( 63,107, 67,112,168,105,159,150, 99,152,192,242,
4555         252, 72,117,157, 70, 92, 82,131,153,201)( 73,118,174,155,212,229, 75,
4556         121,178,205,161,197,144, 80,129,191,203,244,108,163,217,239),
4557      (  1,  3,  7)(  2,  5, 11)(  4,  9, 18)(  6, 13, 25)(  8, 16, 31)
4558        ( 10, 20, 38)( 12, 23, 44)( 14, 27, 50)( 15, 29, 54)( 17, 33, 59)
4559        ( 19, 36, 65)( 21, 40, 72)( 22, 42, 75)( 24, 46, 80)( 26, 48, 84)
4560        ( 28, 52, 90)( 30, 55, 95)( 32, 58,101)( 34, 61,105)( 35, 63,108)
4561        ( 37, 67, 45)( 39, 70,116)( 41, 73,119)( 43, 76,123)( 47, 82,132)
4562        ( 49, 85,135)( 51, 88,139)( 53, 92,144)( 56, 97, 62)( 57, 99,153)
4563        ( 60,103,157)( 64,100,155)( 66,111, 74)( 68, 69,115)( 71,107,162)
4564        ( 77,125,185)( 78,120,102)( 79,128, 91)( 81,130,192)( 83,124,183)
4565        ( 86,112,136)( 87,118,175)( 89,141,174)( 93,146,163)( 94,148,188)
4566        ( 96,150,209)( 98,114,109)(104,158,214)(106,161,159)(110,166,222)
4567        (117,173,228)(121,179,182)(122,140,131)(126,187,239)(127,189,240)
4568        (129,165,220)(133,164,218)(134,195,212)(137,197,171)(138,199,168)
4569        (142,201,235)(143,203,242)(145,205,231)(147,206,245)(149,208,246)
4570        (151,210,176)(152,211,196)(154,160,216)(156,169,226)(167,224,243)
4571        (170,227,251)(172,229,234)(177,232,250)(178,233,217)(180,219,244)
4572        (181,236,207)(184,237,238)(186,193,200)(190,241,191)(194,221,248)
4573        (198,215,225)(202,223,204)(213,230,252)(247,249,253) ] ],
4574[ 3, 6072, 1, "2", [ [ 4, 1 ], [ 6, 2 ], [ 24, 8 ], [ 8, 1 ], [ 12, 3 ] ], 1,
4575  "PSL(2, 23)", [ "L", [ 2, 23 ], 1 ],
4576  [ (  1,  2,  4,  8, 15, 28, 50, 86,143,118,131)(  3,  6, 12, 22, 40, 70,117,
4577         181, 93,151,202)(  5, 10, 19, 34, 45, 78, 95,154,216,123,188)
4578        (  7, 14, 26, 47, 82, 81,135,198, 79,132, 64)(  9, 17, 31, 55, 96,156,
4579         148,211, 37, 65,112)( 11, 21, 38, 66, 98,159,215,207,111,175,100)
4580        ( 13, 24, 44, 76, 84,139,115,155,218,247,125)( 16, 29, 52, 90,147,209,
4581         245,110,173,230,194)( 18, 33, 59,102,164, 67,114,178, 91, 51, 88)
4582        ( 20, 36, 63,109, 43, 75,126, 27, 48, 69, 97)( 23, 42, 73, 32, 57, 99,
4583         160,222,249,252,210)( 25, 46, 80,133,197,229,246,237,196,180,191)
4584        ( 30, 54, 94,152,213,127,192, 41, 72,121,145)( 35, 62,107,169,176,221,
4585         182,233, 77,129,104)( 39, 68,116,142,205,149,163,225,130,195,183)
4586        ( 49, 85,141,204,244,153,214,232,242,241,167)( 53, 92,150,212,179,140,
4587         203,243,253, 61,105)( 56, 58,101,162,224,250,226, 71,119,184,234)
4588        ( 60,103,165,158,220,122,187,217,128,193,201)( 74,124,190,239,227,172,
4589         138,161,223,108,171)( 83,137,200,236,157,219,170, 89,146,189,134)
4590        ( 87,144,208,238,251,106,168,206,240,166,228)(113,177,231,120,185,235,
4591         248,186,199,136,174), (  1,  3,  7)(  2,  5, 11)(  4,  9, 18)
4592        (  6, 13, 25)(  8, 16, 30)( 10, 20, 37)( 12, 23, 43)( 14, 27, 49)
4593        ( 17, 32, 58)( 19, 35, 26)( 21, 39, 69)( 22, 41, 59)( 24, 45, 79)
4594        ( 28, 51, 89)( 29, 53, 93)( 31, 56, 98)( 33, 60,104)( 34, 61,106)
4595        ( 36, 64,111)( 38, 67,115)( 40, 71,120)( 42, 74,125)( 44, 77,130)
4596        ( 46, 81, 99)( 47, 83,138)( 48, 84,140)( 50, 87,133)( 52, 91,149)
4597        ( 54, 95,155)( 55, 97,158)( 57,100,161)( 62,108,144)( 63,110,174)
4598        ( 65, 66,113)( 68,114,179)( 70,118,183)( 72,122,160)( 73,123,189)
4599        ( 75,127,126)( 76,128,194)( 78,131,196)( 80,134,175)( 82,136,199)
4600        ( 85,142,206)( 86,132,173)( 88,145, 92)( 90,148,192)( 94,153,215)
4601        ( 96,157,102)(101,163,162)(103,166,212)(105,167,169)(107,170,229)
4602        (109,172,187)(112,176,228)(116,180,231)(117,182,193)(119,129,152)
4603        (121,186,237)(124,191,240)(135,171,211)(137,201,234)(139,202,242)
4604        (141,185,236)(143,207,220)(146,181,225)(147,210,168)(150,154,217)
4605        (151,197,241)(159,221,245)(164,226,214)(165,227,250)(177,232,190)
4606        (178,188,238)(184,209,204)(195,235,252)(198,205,213)(203,218,248)
4607        (208,219,224)(216,246,223)(222,244,253)(230,251,247)(233,249,243) ] ],
4608[ 4, 10200960, 1, "2", [ [ 210, 1 ], [ 42, 1 ] ], 1, "M_23",
4609  [ "Spor", "M(23)", 1 ],
4610  [ (  1,  2)(  3,  5)(  4,  7)(  6, 10)(  8, 13)(  9, 15)( 12, 18)( 14, 20)
4611        ( 16, 22)( 17, 24)( 23, 30)( 25, 32)( 26, 34)( 28, 36)( 29, 38)
4612        ( 31, 41)( 33, 44)( 37, 49)( 40, 52)( 43, 55)( 45, 58)( 46, 59)
4613        ( 47, 60)( 48, 61)( 50, 63)( 51, 65)( 53, 67)( 54, 69)( 56, 71)
4614        ( 57, 73)( 62, 78)( 64, 81)( 66, 84)( 68, 86)( 70, 89)( 74, 93)
4615        ( 75, 94)( 76, 96)( 77, 97)( 79,100)( 80,102)( 82, 95)( 83,105)
4616        ( 87,108)( 88,109)( 90,111)( 91,113)( 92,115)( 98,120)( 99,122)
4617        (101,125)(103,127)(104,129)(106,131)(107,132)(110,136)(112,139)
4618        (114,140)(116,143)(117,145)(118,146)(119,148)(121,151)(123,153)
4619        (124,154)(126,157)(128,160)(130,161)(133,164)(134,166)(137,142)
4620        (138,168)(141,152)(144,173)(147,170)(149,178)(150,180)(156,186)
4621        (158,187)(162,182)(163,190)(165,193)(167,188)(171,196)(172,197)
4622        (174,195)(175,199)(176,201)(177,189)(179,204)(181,206)(183,184)
4623        (191,211)(192,207)(194,214)(198,217)(202,213)(205,224)(208,225)
4624        (215,230)(216,231)(219,234)(220,235)(222,236)(223,233)(228,238)
4625        (232,243)(239,241)(240,248)(244,251)(245,249)(247,252),
4626      (  1,  3,  6, 11)(  2,  4,  8, 14)(  5,  9, 16, 23)(  7, 12, 19, 26)
4627        ( 10, 17)( 15, 21, 28, 37)( 18, 25, 33, 45)( 20, 27, 35, 47)
4628        ( 22, 29, 39, 51)( 24, 31, 42, 54)( 30, 40, 44, 57)( 32, 43, 56, 72)
4629        ( 34, 46, 36, 48)( 38, 50, 64, 82)( 41, 53, 68, 87)( 49, 62, 79,101)
4630        ( 52, 66, 73, 92)( 55, 70, 90,112)( 58, 74, 67, 85)( 59, 75, 95, 89)
4631        ( 60, 76)( 61, 77, 98,121)( 63, 80,103,128)( 65, 83, 81,104)
4632        ( 69, 88,110,137)( 71, 91,114,141)( 78, 99,123,113)( 84,106)
4633        ( 86,107,133,165)( 93,116,144,174)( 94,117)( 96,118,147,132)
4634        ( 97,119,149,179)(100,124,155,185)(102,126,158,188)(105,130,162,189)
4635        (108,134,140,170)(109,135,167,194)(111,138,169,136)(115,142,171,161)
4636        (120,150,127,159)(122,152,182,129)(125,156,143,172)(131,163,191,212)
4637        (145,175,200,220)(146,176,202,222)(148,177,203,157)(151,181)
4638        (153,183,207,190)(154,184,208,226)(164,192,168,195)(173,198,218,233)
4639        (180,205)(186,209,224,206)(187,210)(193,213,228,240)(196,215)(197,216)
4640        (199,219,201,221)(204,223,237,235)(211,227,239,247)(214,229,234,244)
4641        (217,232,236,245)(225,238,246,248)(230,241)(231,242,249,253)(243,250)
4642        (251,252) ] ],
4643[ 5, 10200960, 1, "2", [ [ 112, 1 ], [ 140, 1 ] ], 1, "M_23",
4644  [ "Spor", "M(23)", 1 ],
4645  [ (  1,  2)(  3,  5)(  4,  7)(  6, 10)(  8, 13)(  9, 15)( 11, 18)( 12, 19)
4646        ( 14, 22)( 16, 24)( 17, 26)( 20, 30)( 21, 32)( 23, 35)( 25, 38)
4647        ( 27, 40)( 29, 42)( 31, 44)( 33, 46)( 34, 48)( 36, 51)( 37, 53)
4648        ( 39, 56)( 41, 58)( 43, 60)( 45, 63)( 47, 65)( 49, 67)( 50, 69)
4649        ( 54, 73)( 57, 77)( 59, 80)( 61, 82)( 64, 86)( 66, 89)( 68, 92)
4650        ( 70, 94)( 72, 96)( 74, 99)( 75,100)( 76,101)( 78, 87)( 79,105)
4651        ( 83,109)( 84,110)( 85,112)( 88,116)( 90,117)( 93,106)( 95,123)
4652        ( 97,125)( 98,126)(102,114)(103,130)(104,132)(107,135)(111,139)
4653        (113,141)(115,143)(118,145)(119,136)(120,147)(121,149)(122,137)
4654        (127,155)(128,156)(129,158)(131,160)(134,162)(138,167)(140,168)
4655        (142,170)(146,174)(148,176)(150,178)(152,180)(153,177)(154,181)
4656        (157,185)(161,190)(163,191)(164,192)(165,193)(169,195)(171,199)
4657        (172,201)(179,205)(182,200)(183,208)(184,210)(186,212)(187,213)
4658        (188,215)(196,203)(198,214)(202,220)(204,216)(211,226)(217,230)
4659        (218,231)(219,232)(222,225)(224,235)(227,233)(228,238)(236,241)
4660        (240,244)(242,246)(243,248)(245,249)(247,251)(250,252),
4661      (  1,  3,  6, 11)(  2,  4,  8, 14)(  5,  9, 16, 25)(  7, 12, 20, 31)
4662        ( 10, 17, 27, 41)( 13, 21, 33, 47)( 15, 23, 36, 52)( 18, 28, 32, 45)
4663        ( 19, 29)( 22, 34, 49, 68)( 24, 37, 54, 74)( 26, 39, 51, 71)
4664        ( 30, 43, 61, 83)( 35, 50, 70, 95)( 38, 55, 75, 60)( 40, 57, 78,104)
4665        ( 42, 59, 81,107)( 44, 62, 84,111)( 46, 64, 87,115)( 48, 66, 90,118)
4666        ( 53, 72, 97,116)( 56, 76,102,129)( 58, 79,100, 89)( 63, 85,113,142)
4667        ( 65, 88, 73, 98)( 67, 91,119,146)( 69, 93,121,150)( 77,103,131,161)
4668        ( 80,106,134,163)( 82,108,136,165)( 86,114, 96,124)( 92,120,148,177)
4669        ( 94,122,151,179)( 99,127)(101,128,157,186)(105,133,145,173)
4670        (109,137,166,194)(110,138)(112,140,169,197)(117,144,172,202)
4671        (123,152,135,164)(125,153)(126,154,182,207)(130,159,188,141)
4672        (139,162,174,149)(143,171,200,219)(147,175,203,221)(155,183,209,181)
4673        (156,184)(158,187,214,193)(160,189)(167,195,212,178)(168,196)
4674        (170,198,191,216)(176,204,222,233)(180,206,224,236)(185,211,227,190)
4675        (192,217)(199,218)(201,210,225,237)(205,223,234,208)(213,228,239,243)
4676        (215,229,240,245)(226,232,242,247)(231,241)(235,238)(244,248,246,250)
4677        (251,253) ] ],
4678[ 6, 12926008369442488320000, 1, "2", [ [ 210, 1 ], [ 42, 1 ] ], 1,
4679  "Alt(23)", [ "A", 23, 1 ],
4680  [ (  2,  3,  5,  8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
4681         173,192,212)(  4,  7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92,106,121,
4682         137,154,172,191,211,232,253)(  6, 10, 15, 21, 28, 36, 45, 55, 66, 78,
4683         91,105,120,136,153,171,190,210,231,252,233)(  9, 14, 20, 27, 35, 44,
4684          54, 65, 77, 90,104,119,135,152,170,189,209,230,251,213,234)
4685        ( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,134,151,169,188,208,229,
4686         250,193,214,235)( 18, 25, 33, 42, 52, 63, 75, 88,102,117,133,150,168,
4687         187,207,228,249,174,194,215,236)( 24, 32, 41, 51, 62, 74, 87,101,116,
4688         132,149,167,186,206,227,248,156,175,195,216,237)( 31, 40, 50, 61, 73,
4689         86,100,115,131,148,166,185,205,226,247,139,157,176,196,217,238)
4690        ( 39, 49, 60, 72, 85, 99,114,130,147,165,184,204,225,246,123,140,158,
4691         177,197,218,239)( 48, 59, 71, 84, 98,113,129,146,164,183,203,224,245,
4692         108,124,141,159,178,198,219,240)( 58, 70, 83, 97,112,128,145,163,182,
4693         202,223,244, 94,109,125,142,160,179,199,220,241)( 69, 82, 96,111,127,
4694         144,162,181,201,222,243, 81, 95,110,126,143,161,180,200,221,242),
4695      (  1,  2,  4)(  3,  6,  7)(  5,  9, 11)(  8, 13, 16)( 12, 18, 22)
4696        ( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)( 38, 48, 56)( 47, 58, 67)
4697        ( 57, 69, 79)( 68, 81, 92)( 80, 94,106)( 93,108,121)(107,123,137)
4698        (122,139,154)(138,156,172)(155,174,191)(173,193,211)(192,213,232)
4699        (212,233,253) ] ],
4700[ 7, 25852016738884976640000, 0, "2", [ [ 210, 1 ], [ 42, 1 ] ], 1,
4701  "Sym(23)", [ "A", 23, 1 ],
4702  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
4703          91,101,111,122,133)(  4,  6,  8, 11, 14, 18, 22, 27, 32, 38, 44, 51,
4704         58, 66, 74, 83, 92,102,112,123,134,146,145)(  9, 12, 15, 19, 23, 28,
4705          33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,124,135,147,158,157,169)
4706        ( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104,114,125,136,
4707         148,159,171,170,181,193)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,
4708         105,115,126,137,149,160,172,183,182,194,205,217)( 36, 42, 48, 55, 62,
4709         70, 78, 87, 96,106,116,127,138,150,161,173,184,196,195,206,218,227,
4710         235)( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,162,174,185,197,
4711         208,207,219,228,236,242,247)( 64, 72, 80, 89, 98,108,118,129,140,152,
4712         163,175,186,198,209,216,220,229,237,243,248,251,253)( 81, 90, 99,109,
4713         119,130,141,153,164,176,187,199,210,221,192,204,215,226,234,241,246,
4714         250,252)(100,110,120,131,142,154,165,177,188,200,211,222,230,168,180,
4715         191,203,214,225,233,240,245,249)(121,132,143,155,166,178,189,201,212,
4716         223,231,238,144,156,167,179,190,202,213,224,232,239,244),
4717      (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
4718        ( 90,100)(110,121)(132,144)(133,145)(146,157)(156,168)(158,170)
4719        (171,182)(180,192)(183,195)(196,207)(204,216)(208,220) ] ],
4720[8, Factorial(253)/2,1,"2",[[252,1]],251, "Alt(253)", ["A",253, 1], "Alt"],
4721[9, Factorial(253),0,"2",[[252, 1]],253, "Sym(253)", ["A",253, 1], "Sym"]];
4722PRIMGRP[254]:=
4723[[1, Factorial(254)/2,1,"2",[[253,1]],252, "Alt(254)", ["A",254, 1], "Alt"],
4724[2, Factorial(254),0,"2",[[253, 1]],254, "Sym(254)", ["A",254, 1], "Sym"]];
4725PRIMGRP[255]:=
4726[[ 1, 47377612800, 1, "2", [ [ 126, 1 ], [ 128, 1 ] ], 1, "PSp(8, 2)",
4727  [ "B", [ 4, 2 ], 1 ],
4728  [ (  1, 75)(  5,228)(  9,142)( 10, 58)( 11,231)( 13,222)( 14, 76)( 15,249)
4729        ( 18, 29)( 19,189)( 20,135)( 21,107)( 22,244)( 24,192)( 25,199)
4730        ( 26,238)( 30,243)( 33,185)( 34, 98)( 36,201)( 37,253)( 39, 53)
4731        ( 40,229)( 42,144)( 43,110)( 44, 88)( 46,153)( 47,125)( 48,179)
4732        ( 51,198)( 55,109)( 57,151)( 59, 90)( 60,149)( 61, 87)( 62, 82)
4733        ( 63, 71)( 64,148)( 65,190)( 66,115)( 67,246)( 69,166)( 70,206)
4734        ( 72, 78)( 73,118)( 77,138)( 79,117)( 80,203)( 81,232)( 83,178)
4735        ( 84,172)( 85,177)( 86,220)( 89,168)( 91,171)( 92,219)( 93,207)
4736        ( 94,250)( 95,213)( 97,162)( 99,237)(101,194)(105,129)(106,147)
4737        (111,216)(113,224)(114,130)(116,169)(119,137)(120,218)(121,126)
4738        (122,174)(124,146)(132,188)(133,202)(134,170)(136,139)(154,225)
4739        (155,182)(156,214)(158,205)(159,163)(160,173)(164,236)(167,186)
4740        (175,215)(176,233)(180,217)(181,240)(195,212)(209,211)(230,245)
4741        (234,235)(239,248)(242,252)(247,254),
4742      (  1,  5,  6,  7,  8,  4,  3,  2)(  9,250,164,162,133,251,165,238)
4743        ( 10, 73, 60,136,132,208,180,185)( 11, 96, 24, 36,131,254,120,155)
4744        ( 12,128,255, 76,130,126, 95, 80)( 13,138, 70,190,172,213,231, 23)
4745        ( 14,249, 40,156, 90,252,221, 35)( 15,182,203,204,197, 50,200,199)
4746        ( 16, 99,166,202,196, 68, 75,201)( 17,100,239,142,195, 67,109,145)
4747        ( 18,241, 49,248,194,107,183, 46)( 19,220, 92,211, 21, 41,124,147)
4748        ( 20,189)( 22,214,246,188,191,137,125,121)( 25,114,186,160,175,117,
4749         123,112)( 26,101, 30, 31, 32,104, 28, 27)( 29,226,140,113)
4750        ( 33,115,111, 83, 61,116,161,237)( 34,207, 87, 79,157, 74,198, 77)
4751        ( 37,149, 64,242,150, 38,129,106)( 39,143,222,154,148,144,210,153)
4752        ( 42,152,146,181,219,151,212, 59)( 43,230,170,135,253, 71,206, 93)
4753        ( 44,234,215,169, 45,247, 47,167)( 48,209,243,108,184,223,105,240)
4754        ( 51,225,139, 55, 56,227,141, 52)( 53,102,192,228, 54,103,193,224)
4755        ( 57, 94, 85,158, 58,134, 86,179)( 62,171, 84,244,174,236,205, 66)
4756        ( 63, 98, 65,159,173,232,245,118)( 69, 78,127,217)( 72,187,119,218,
4757         229,122,177, 97)( 81, 89,216, 91,163, 88,233,235)( 82,178,110,168) ]
4758 ],
4759[ 2, 5348063769211699200, 1, "2", [ [ 254, 1 ] ], 2, "PSL(8, 2)",
4760  [ "L", [ 8, 2 ], 1 ],
4761  [ (  1, 26)(  9,114)( 13,247)( 14,129)( 15,101)( 19, 70)( 22, 44)( 24,237)
4762        ( 25,198)( 33, 47)( 34, 37)( 40,186)( 43,159)( 46,217)( 48,139)
4763        ( 51,199)( 57, 65)( 59, 85)( 61, 84)( 62,134)( 64, 92)( 67,164)
4764        ( 69,218)( 73,111)( 75,238)( 76,105)( 81,176)( 82,170)( 83,162)
4765        ( 87,172)( 88,244)( 90,177)( 91,205)( 93,211)( 95,160)( 97,178)
4766        ( 98,253)( 99,192)(110,163)(113,248)(118,216)(119,124)(120,166)
4767        (121,155)(125,185)(126,182)(130,142)(136,179)(137,146)(148,219)
4768        (151,190)(153,180)(158,171)(167,229)(173,213)(175,234)(189,206)
4769        (194,249)(207,209)(215,235)(222,254)(224,239)(232,233)(236,246),
4770      (  1,  8,  7,  6,  5,  4,  3,  2)(  9,255,254, 92,162, 12, 11, 10)
4771        ( 13,161,160, 61,188,187,186,218)( 14,217, 90, 80, 79, 78, 77, 76)
4772        ( 15, 75,184,183,182, 18, 17, 16)( 19,181,180,189, 60, 59, 21, 20)
4773        ( 22, 58, 57,191,190,179,158, 23)( 24,157,156,155, 36, 35, 34,120)
4774        ( 25,119,177,175,117,116,115,114)( 26,113, 32, 31, 30, 29, 28, 27)
4775        ( 33,112,111,172, 97,123,122,121)( 37,154,153,150,149,148, 39, 38)
4776        ( 40,147,146,208,207,136, 42, 41)( 43,135,134, 94, 93,253, 86, 85)
4777        ( 44, 84,205, 45)( 46,204,203,202,201,200,199,248)( 47,247, 82,234,
4778         215,169,168,167)( 48,166,197,196,195,194, 50, 49)( 51,193,192, 56,
4779          55, 54, 53, 52)( 62,159,178,118,174,173,110, 63)( 64,109,108,107,
4780         106,105,100, 99)( 65, 98,171,236,232,245,244, 66)( 67,243,242,241,
4781         240,239,129, 68)( 69,128,127,126)( 70,125,237,170,214,213, 72, 71)
4782        ( 73,212,211,221,220,219,185, 74)( 81, 89, 88,163, 91,216,233,235)
4783        ( 83,246,231,230,229,138,137,206)( 87,252,251,250,249,198,165,164)
4784        ( 95,133,132,131,130,238,124, 96)(101,104,103,102)(139,228,227,226,
4785         225,224,141,140)(142,223,222,210,209,145,144,143)(151,152) ] ],
4786[3, Factorial(255)/2,1,"2",[[254,1]],253, "Alt(255)", ["A",255, 1], "Alt"],
4787[4, Factorial(255),0,"2",[[254, 1]],255, "Sym(255)", ["A",255, 1], "Sym"]];
4788PRIMGRP[256]:=
4789[[ 1, 218881568348697526272000000, 0, "4c", [ [ 225, 1 ], [ 30, 1 ] ], 1,
4790  "Alt(16) wreath Sym(2)", [ "A", 16, 2 ],
4791  [ (  1,117,132,199,155,170, 32, 73,184, 45, 12,118,130,195,159,161, 21, 68,
4792         183, 43, 10,128,137,200,157,172, 22, 66,179, 47)(  2,115,143,193,149,
4793         164, 23, 75,186, 48,  9,120,141,204,150,162, 19, 79,177, 37,  4,119,
4794         139,202,160,169, 24, 77,188, 38)(  3,127,129,197,148,167, 27, 74,192,
4795         41,  8,125,140,198,146,163, 31, 65,181, 36,  7,123,138,208,153,168,
4796          29, 76,182, 34)(  5,116,135,203,154,176, 25, 72,189, 44,  6,114,131,
4797         207,145,165, 20, 71,187, 42, 16,121,136,205,156,166, 18, 67,191, 33)
4798        ( 11,122,144,201,152,173, 28, 70,178, 35, 15,113,133,196,151,171, 26,
4799          80,185, 40, 13,124,134,194,147,175, 17, 69,180, 39)( 14,126,142,206,
4800         158,174, 30, 78,190, 46)( 49, 53, 52, 55, 59, 58, 64, 57, 56, 61, 60,
4801         54, 50, 51, 63)( 81,229,212,103, 91,234,224,105, 88,237,220,102, 82,
4802         227,223, 97, 85,228,215,107, 90,240,217,104, 93,236,214, 98, 83,239,
4803         209,101, 84,231,219,106, 96,233,216,109, 92,230,210, 99, 95,225,213,
4804         100, 87,235,218,112, 89,232,221,108, 86,226,211,111)( 94,238,222,110)
4805        (241,245,244,247,251,250,256,249,248,253,252,246,242,243,255),
4806      (  1,229,114, 59,221, 73,102, 20,184,144,254, 81,227,146, 58, 45, 71,
4807           6, 21,120,139,222, 89, 99,148,186, 48,247)(  2, 53,125, 75,214, 25,
4808         104,132,190, 96,243,145,234, 34, 55, 13, 69,118, 27,216,137,110, 84,
4809         179,160,250, 33,231)(  3,149,122, 43,215,  9,101,116,187,224,249, 97,
4810         228,178, 64,253, 65,230, 18, 56,141, 78, 86, 19,152,138, 46, 87)
4811        (  4,181,128,251,209,233, 98, 52,189, 80,246, 17,232,130, 62, 93, 67,
4812         150, 26, 40,135, 14, 85,115,155,218, 41,103)(  5,117,123,219,217,105,
4813         100,180,192,256,241,225,226, 50, 61, 77, 70, 22, 24,136,142, 94, 83,
4814         147,154, 42, 39,  7)(  8,133,126, 91,211,153,106, 36,183, 16,245,113,
4815         235,210, 57,109, 68,182, 32,248,129,238, 82, 51,157, 74, 38, 23)
4816        ( 10, 37,119, 11,213,121,107,212,185,112,244,177,240,242, 49,237, 66,
4817          54, 29, 72,134, 30, 88,131,158, 90, 35,151)( 12,165,127,203,220,169,
4818         111,196,188,176,255,193,236,162, 63,205, 76,166, 31,200,140,174, 95,
4819         195,156,170, 47,199)( 15,197,124,171,223,201,108,164,191,208,252,161,
4820         239,194, 60,173, 79,198, 28,168,143,206, 92,163,159,202, 44,167)
4821        (172,175,207,204) ] ],
4822[ 2, 437763136697395052544000000, 0, "4c", [ [ 225, 1 ], [ 30, 1 ] ], 1,
4823  "Alt(16)^2.2^2", [ "A", 16, 2 ],
4824  [ (  1,213,  4, 37,  7, 53,  2,117,  8,149, 10,245, 13,133,  6,101, 16,181,
4825           9, 21, 15, 85,  3,197, 12,229, 11, 69, 14,165)( 17,223, 84, 35,199,
4826         60,226,123, 72,158,170,241,221,132, 38,103, 64,178,121, 24,159, 90,
4827         243,205,140,230,107, 80,190,169)( 18,127, 88,147,202,252,237,139, 70,
4828         110,176,177,217, 20, 47, 87, 51,194,124,232,155, 74,254,173,129,214,
4829         100, 48,183, 57)( 19,207, 92,227,203, 76,238,171, 65,222,164, 33,215,
4830         52, 34,119, 56,146,122,248,157,138,246,109,144,182,105, 32,191, 89)
4831        ( 22,111, 96,179,201, 28,239, 91, 67,206,172,225,219, 68, 46,167, 49,
4832         210,116, 40,151, 58,242,125,136,150,106,256,189,137)( 23, 63, 82,115,
4833         200,156,234,251, 77,142,166, 97,224,180, 41)( 25, 31, 95, 83,195,204,
4834         236,235, 75, 78,174,161,209,212, 36, 39, 55, 50,114,120,152,154,250,
4835         253,141,134,102,112,192,185)( 26,255, 93,131,198,108,240,187, 73, 30,
4836         175, 81,211,196, 44,231, 59, 66,126,168,145,218,244, 45,135, 54, 98,
4837         128,184,153)( 27, 79, 94,163,193,220,228, 43, 71, 62,162,113,216,148,
4838         42,247, 61,130,118,104,160,186,249, 29,143, 86, 99,208,188,233),
4839      (  1,123,110, 72,255,217,161,115,190, 76, 31,224, 81,118,206, 71,159,221
4840         )(  2, 59, 98, 56,242, 57,162, 51,178, 60, 18, 64, 82, 54,194, 55,
4841         146, 61)(  3,187,108, 24,256, 89,166,195,183,156, 29, 16, 91,102,200,
4842         247,153,173)(  4, 43,100, 40,244, 41,164, 35,180, 44, 20, 48, 84, 38,
4843         196, 39,148, 45)(  5,139,101,136,245,137,165,131,181,140, 21,144, 85,
4844         134,197,135,149,141)(  6,203,103,152,253,  9,171, 99,184,252, 25,176,
4845         83,182,204, 23,160, 93)(  7,155,109,  8,251,105,168,243,185,172, 19,
4846         192, 92, 22,208, 87,150,205)( 10,235,106,232,250,233,170,227,186,236,
4847         26,240, 90,230,202,231,154,237)( 11,107,104,248,249,169,163,179,188,
4848          28, 32, 96, 86,198,199,151,157, 13)( 12, 27,112, 88,246,201,167,147,
4849         189)( 14, 75,111,216,241,121,174, 67,191,220, 17,128, 94, 70,207,215,
4850         145,125)( 15,219, 97,120,254, 73,175,211,177,124, 30, 80, 95,214,193,
4851         119,158, 77)( 33,116, 46, 68, 47,212)( 34, 52)( 37,132)( 42,228)
4852        ( 49,114, 62, 66, 63,210)( 53,130)( 58,226)( 65,127,222)
4853        ( 69,143,213,129,117,142)( 74,239,218,225,122,238)( 78, 79,223,209,
4854         113,126)(138,229) ] ],
4855[ 3, 437763136697395052544000000, 0, "4c", [ [ 225, 1 ], [ 30, 1 ] ], 1,
4856  "Alt(16)^2.4", [ "A", 16, 2 ],
4857  [ (  1,162, 10,167, 14,176, 13,168)(  2,170,  7,174, 16,173,  8,161)
4858        (  3,165, 12,169,  4,175)(  5,172,  9,164, 15,163)(  6,166)( 11,171)
4859        ( 17,178,202,135,158, 64, 45,120, 81, 98,234,215, 78,256, 29,184,193,
4860         130,154, 55, 46,128, 93,104,225,210, 74,247, 30,192,205,136,145, 50,
4861          42,119, 94,112,237,216, 65,242, 26,183,206,144,157, 56, 33,114, 90,
4862         103,238,224, 77,248)( 18,186,199,142,160, 61, 40,113, 82,106,231,222,
4863         80,253, 24,177,194,138,151, 62, 48,125, 88, 97,226,218, 71,254, 32,
4864         189,200,129,146, 58, 39,126, 96,109,232,209, 66,250, 23,190,208,141,
4865         152, 49, 34,122, 87,110,240,221, 72,241)( 19,181,204,137,148, 63, 35,
4866         117, 92,105,228,223, 67,245, 28,185,196,143,147, 53, 44,121, 84,111,
4867         227,213, 76,249, 20,191,195,133,156, 57, 36,127, 83,101,236,217, 68,
4868         255)( 21,188,201,132,159, 51, 37,124, 89,100,239,211, 69,252, 25,180,
4869         207,131,149, 60, 41,116, 95, 99,229,220, 73,244, 31,179,197,140,153,
4870          52, 47,115, 85,108,233,212, 79,243)( 22,182,198,134,150, 54, 38,118,
4871         86,102,230,214, 70,246)( 27,187,203,139,155, 59, 43,123, 91,107,235,
4872         219, 75,251), (  1, 30,252,129, 27,172,130,155,165,178,159, 37,185,
4873          63, 36,233, 61,116,231,221,118, 87,216,  6, 94,248)(  2,158,245,177,
4874         31, 44,137, 59,164,226,157,117,183,223, 38, 89, 56,  4,238,253,113,
4875          23,220,134, 91,168)(  3, 78,243, 65, 19, 76,131, 75,163, 66,147, 69,
4876         179, 79, 35, 73, 51, 68,227, 77,115, 71,211, 70, 83, 72)
4877        (  5,190,255, 33, 25, 60,132,235,173,114,151,213,182, 95, 40,  9, 62,
4878         244,225, 29,124,135,219,166, 82,152)(  7,222,246, 81, 24, 12,142,251,
4879         161, 18,156,133,187,175, 34,153, 53,180,239, 45,121, 55,212,230, 93,
4880         120)(  8, 14,254,241, 17, 28,140,139,171,162,146,149,181,191, 47, 41,
4881         57, 52,228,237,125,119,215,214, 86, 88)( 10,110,256,193, 26,108,144,
4882         203,170, 98,160,197,186,111, 48,201, 58,100,240,205,122,103,224,198,
4883          90,104, 16,206,250, 97, 32,204,138,107,176,194,154,101,192,207, 42,
4884         105, 64,196,234,109,128,199,218,102, 96,200)( 11,174,242,145, 21,188,
4885         143, 43,169, 50,148,229,189,127, 39,217, 54, 84,232, 13,126,247,209,
4886          22, 92,136)( 15, 46,249, 49, 20,236,141,123,167,210,150, 85,184)
4887        ( 74, 99, 80,195)(106,112,208,202) ] ],
4888[ 4, 875526273394790105088000000, 0, "4c", [ [ 225, 1 ], [ 30, 1 ] ], 1,
4889  "Sym(16) wreath Sym(2)", [ "A", 16, 2 ],
4890  [ (  1,145,209, 33, 17, 81,225,193, 97, 65,161,129,177, 49,241,113)
4891        (  2,151,213, 43, 31, 86,227,196,106, 76,162,135,181, 59,255,118,  3,
4892         148,218, 44, 18, 87,229,203,111, 70,163,132,186, 60,242,119,  5,155,
4893         223, 38, 19, 84,234,204, 98, 71,165,139,191, 54,243,116, 10,156,210,
4894          39, 21, 91,239,198, 99, 68,170,140,178, 55,245,123, 15,150,211, 36,
4895          26, 92,226,199,101, 75,175,134,179, 52,250,124)(  4,154,220, 34, 23,
4896         85,235,207,102, 67,164,138,188, 50,247,117, 11,159,214, 35, 20, 90,
4897         236,194,103, 69,171,143,182, 51,244,122, 12,146,215, 37, 27, 95,230,
4898         195,100, 74,172,130,183, 53,251,127,  6,147,212, 42, 28, 82,231,197,
4899         107, 79,166,131,180, 58,252,114,  7,149,219, 47, 22, 83,228,202,108,
4900          66,167,133,187, 63,246,115)(  8,160,217, 46, 24, 96,233,206,104, 80,
4901         169,142,184, 64,249,126)(  9,158,216, 48, 25, 94,232,208,105, 78,168,
4902         144,185, 62,248,128)( 13,157,221, 45, 29, 93,237,205,109, 77,173,141,
4903         189, 61,253,125)( 14,152,224, 41, 30, 88,240,201,110, 72,176,137,190,
4904         56,256,121)( 16,153,222, 40, 32, 89,238,200,112, 73,174,136,192, 57,
4905         254,120), (  1,157, 48, 21,  8,141, 47,229,  7,205, 38,213,  3,189,
4906          36, 69, 11,125, 33,149, 16, 29, 40,133, 15,237, 39,197,  6,221, 35,
4907         181,  4, 77, 43,117)(  2,253, 42,101,  9, 93, 46, 53)(  5, 13, 45, 37
4908         )( 10,109, 41, 85, 14, 61, 34,245)( 12,173, 44,165)( 17,152,144, 31,
4909         232,135,207,230,215,195,182,212, 67,187,116, 65,155,128)
4910        ( 18,248,138,111,233, 87,206, 54,210,243,186,100, 73, 91,126, 49,146,
4911         256, 26,104,137, 95,238, 55,194,246,218, 99,185, 84, 78, 59,114,241,
4912         154,112, 25, 88,142, 63,226,247,202,102,217, 83,190, 52, 66,251,122,
4913          97,153, 96, 30, 56,130,255,234,103,201, 86,222, 51,178,244, 74,107,
4914         121, 81,158, 64)( 19,184,132, 79,235,119,193,150,224)
4915        ( 20, 72,139,127,225,151,208, 22,216,131,191,228, 71,203,118,209,147,
4916         192)( 23,200,134,223,227,183,196, 70,219,115,177,148, 80, 27,120,129,
4917         159,240)( 24,136,143,239,231,199,198,214,211,179,180, 68, 75,123,113,
4918         145,160, 32)( 28,168,140,175,236,167,204,166,220,163,188,164, 76,171,
4919         124,161,156,176)( 50,242,250,106,105, 89, 94, 62)( 57, 82,254, 58,
4920          98,249, 90,110)( 60,162,252,170,108,169, 92,174) ] ],
4921[5, Factorial(256)/2,1,"2",[[255,1]],254, "Alt(256)", ["A",256, 1], "Alt"],
4922[6, Factorial(256),0,"2",[[255, 1]],256, "Sym(256)", ["A",256, 1], "Sym"],
4923[ 7, 7962624, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
4924  "2^8:(GL(2, 2) wreath Sym(4))", [ "Z", 2, 8 ],
4925  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4926          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4927          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
4928          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
4929          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
4930          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
4931          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
4932          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
4933        ,
4934      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4935          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4936          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
4937          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
4938          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
4939          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
4940          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
4941          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
4942         ] ] ],
4943[ 8, 3981312, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
4944  "2^8:(GL(2, 2) wreath Alt(4))", [ "Z", 2, 8 ],
4945  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4946          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4947          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
4948          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
4949          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
4950          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
4951          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
4952          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ]
4953        ,
4954      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4955          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4956          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
4957          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
4958          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
4959          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4960          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
4961          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
4962         ] ] ],
4963[ 9, 2654208, 2, "1",
4964  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
4965  "2^8:(GL(2, 2) wreath D_8)", [ "Z", 2, 8 ],
4966  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4967          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4968          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
4969          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4970          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
4971          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
4972          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
4973          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ]
4974        ,
4975      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4976          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4977          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4978          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4979          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
4980          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
4981          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
4982          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
4983        ,
4984      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4985          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4986          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4987          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4988          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
4989          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
4990          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
4991          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
4992         ] ] ],
4993[ 10, 1327104, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 18, 3 ], [ 108, 1 ] ], 1,
4994  "2^8:(GL(2, 2) wreath 2^2)", [ "Z", 2, 8 ],
4995  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4996          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
4997          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
4998          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
4999          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5000          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5001          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5002          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5003        ,
5004      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5005          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5006          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5007          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5008          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5009          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5010          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5011          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
5012        ,
5013      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5014          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5015          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
5016          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5017          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5018          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5019          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5020          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
5021         ] ] ],
5022[ 11, 1327104, 2, "1",
5023  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5024  "2^8:(GL(2, 2) wreath 4)", [ "Z", 2, 8 ],
5025  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5026          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5027          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5028          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5029          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5030          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5031          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5032          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5033        ,
5034      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5035          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5036          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5037          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5038          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5039          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5040          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5041          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
5042         ] ] ],
5043[ 12, 82944, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 18, 3 ], [ 108, 1 ] ], 1,
5044  "2^8:(3 x (3^3:2^2))", [ "Z", 2, 8 ],
5045  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5046          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5047          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5048          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5049          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5050          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5051          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5052          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ]
5053        ,
5054      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5055          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5056          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5057          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5058          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5059          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5060          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5061          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
5062         ] ] ],
5063[ 13, 165888, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 18, 3 ], [ 108, 1 ] ], 1,
5064  "2^8:3^4:2^3", [ "Z", 2, 8 ],
5065  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5066          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5067          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5068          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5069          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5070          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5071          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5072          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5073        ,
5074      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5075          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5076          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5077          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5078          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5079          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5080          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5081          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5082        ,
5083      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5084          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5085          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5086          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5087          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5088          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5089          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5090          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
5091         ] ] ],
5092[ 14, 165888, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 18, 3 ], [ 108, 1 ] ], 1,
5093  "2^8:3^4:(2 x 4)", [ "Z", 2, 8 ],
5094  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5095          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5096          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5097          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5098          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5099          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5100          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5101          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
5102        ,
5103      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5104          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5105          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5106          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5107          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5108          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5109          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
5110          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
5111         ] ] ],
5112[ 15, 165888, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 18, 3 ], [ 108, 1 ] ], 1,
5113  "2^8:3^4:D_8", [ "Z", 2, 8 ],
5114  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5115          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5116          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5117          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5118          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5119          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5120          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5121          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5122        ,
5123      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5124          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5125          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5126          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5127          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5128          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5129          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5130          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
5131         ] ] ],
5132[ 16, 165888, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 18, 3 ], [ 108, 1 ] ], 1,
5133  "2^8:3^4:Q_8", [ "Z", 2, 8 ],
5134  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5135          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5136          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5137          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5138          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5139          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5140          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5141          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ]
5142        ,
5143      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5144          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5145          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5146          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5147          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5148          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5149          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5150          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
5151         ] ] ],
5152[ 17, 331776, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 18, 3 ], [ 108, 1 ] ], 1,
5153  "2^8:(2 x D_8)", [ "Z", 2, 8 ],
5154  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5155          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5156          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5157          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5158          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
5159          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5160          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5161          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5162        ,
5163      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5164          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5165          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5166          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5167          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5168          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5169          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5170          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5171        ,
5172      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5173          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5174          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5175          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5176          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5177          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5178          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5179          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
5180         ] ] ],
5181[ 18, 331776, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 18, 3 ], [ 108, 1 ] ], 1,
5182  "2^8:3^4:D_8.2", [ "Z", 2, 8 ],
5183  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5184          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5185          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5186          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5187          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5188          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5189          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5190          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
5191        ,
5192      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5193          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5194          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5195          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5196          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5197          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5198          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5199          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
5200        ,
5201      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5202          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5203          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5204          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5205          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5206          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5207          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5208          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
5209         ] ] ],
5210[ 19, 663552, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 18, 3 ], [ 108, 1 ] ], 1,
5211  "2^8:3^4:(2 x D_8):2", [ "Z", 2, 8 ],
5212  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5213          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5214          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5215          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5216          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5217          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5218          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5219          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5220        ,
5221      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5222          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5223          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5224          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5225          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
5226          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5227          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5228          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5229        ,
5230      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5231          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5232          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5233          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5234          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5235          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5236          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
5237          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
5238        ,
5239      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5240          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5241          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5242          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5243          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5244          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5245          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5246          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
5247         ] ] ],
5248[ 20, 663552, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 18, 3 ], [ 108, 1 ] ], 1,
5249  "2^8:3^4:(2^2:4):2", [ "Z", 2, 8 ],
5250  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5251          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5252          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5253          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5254          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5255          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5256          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5257          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5258        ,
5259      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5260          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5261          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5262          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5263          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5264          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5265          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5266          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
5267         ] ] ],
5268[ 21, 248832, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
5269  "2^8:(3 x (3^3:Alt(4)))", [ "Z", 2, 8 ],
5270  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5271          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5272          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5273          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5274          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5275          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
5276          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5277          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
5278        ,
5279      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5280          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5281          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5282          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5283          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5284          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5285          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5286          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
5287         ] ] ],
5288[ 22, 497664, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
5289  "2^8:3^4:Alt(4):2", [ "Z", 2, 8 ],
5290  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5291          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5292          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5293          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5294          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5295          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5296          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5297          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
5298        ,
5299      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5300          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5301          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5302          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5303          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5304          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5305          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5306          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
5307         ] ] ],
5308[ 23, 497664, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
5309  "2^8:3^4:Q_8:2", [ "Z", 2, 8 ],
5310  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5311          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5312          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5313          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5314          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5315          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5316          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
5317          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ]
5318        ,
5319      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5320          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5321          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5322          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5323          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5324          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5325          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5326          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
5327         ] ] ],
5328[ 24, 1990656, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
5329  "2^8:3^4:Q_8:Alt(4)", [ "Z", 2, 8 ],
5330  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5331          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5332          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5333          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5334          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5335          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5336          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5337          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5338        ,
5339      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5340          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5341          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5342          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5343          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5344          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5345          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5346          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5347        ,
5348      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5349          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5350          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5351          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5352          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5353          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5354          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5355          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
5356         ] ] ],
5357[ 25, 497664, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
5358  "2^8:(3 x 3^3:Sym(4))", [ "Z", 2, 8 ],
5359  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5360          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5361          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5362          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5363          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5364          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5365          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5366          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5367        ,
5368      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5369          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5370          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5371          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5372          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5373          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5374          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5375          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
5376         ] ] ],
5377[ 26, 497664, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
5378  "2^8:3^4:4:Sym(3)", [ "Z", 2, 8 ],
5379  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5380          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5381          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5382          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
5383          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
5384          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
5385          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5386          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ]
5387        ,
5388      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5389          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5390          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
5391          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5392          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5393          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5394          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
5395          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
5396        ,
5397      [ [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5398          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5399          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
5400          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5401          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
5402          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5403          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
5404          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
5405         ] ] ],
5406[ 27, 995328, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
5407  "2^8:3^3:Sym(4):Sym(3)", [ "Z", 2, 8 ],
5408  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5409          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5410          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5411          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5412          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5413          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5414          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5415          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5416        ,
5417      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5418          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5419          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5420          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5421          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5422          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5423          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5424          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
5425         ] ] ],
5426[ 28, 995328, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
5427  "2^8:3^4:Q_8:Sym(3)", [ "Z", 2, 8 ],
5428  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5429          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5430          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5431          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5432          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5433          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5434          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5435          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5436        ,
5437      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5438          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5439          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5440          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5441          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5442          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5443          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5444          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
5445         ] ] ],
5446[ 29, 3981312, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
5447  "2^8:3^4:2^3:Sym(4)", [ "Z", 2, 8 ],
5448  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5449          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5450          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5451          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5452          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5453          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5454          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5455          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
5456        ,
5457      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5458          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5459          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5460          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5461          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5462          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5463          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5464          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
5465         ] ] ],
5466[ 30, 3981312, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
5467  "2^8:3^4:Q_8:Sym(4)", [ "Z", 2, 8 ],
5468  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5469          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5470          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5471          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5472          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
5473          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5474          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5475          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5476        ,
5477      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5478          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5479          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5480          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5481          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
5482          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5483          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5484          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
5485         ] ] ],
5486[ 31, 165888, 2, "1",
5487  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5488  "2^8:(3 x (3^3:D_8))", [ "Z", 2, 8 ],
5489  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5490          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5491          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5492          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5493          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5494          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5495          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5496          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
5497        ,
5498      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5499          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5500          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5501          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5502          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5503          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5504          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5505          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
5506         ] ] ],
5507[ 32, 165888, 2, "1",
5508  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5509  "2^8:3^4:D_8", [ "Z", 2, 8 ],
5510  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5511          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5512          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5513          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5514          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
5515          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
5516          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
5517          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
5518        ,
5519      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5520          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5521          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5522          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5523          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
5524          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
5525          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
5526          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
5527         ] ] ],
5528[ 33, 331776, 2, "1",
5529  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5530  "2^8:3^4:(2 x D_8)", [ "Z", 2, 8 ],
5531  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5532          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5533          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5534          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5535          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5536          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5537          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5538          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5539        ,
5540      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5541          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5542          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5543          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5544          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5545          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5546          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5547          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5548        ,
5549      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5550          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5551          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5552          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5553          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5554          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5555          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5556          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
5557         ] ] ],
5558[ 34, 331776, 2, "1",
5559  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5560  "2^8:3^4:(2^2:4)", [ "Z", 2, 8 ],
5561  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5562          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5563          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5564          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5565          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5566          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5567          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
5568          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
5569        ,
5570      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5571          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5572          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5573          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5574          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5575          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5576          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5577          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
5578         ] ] ],
5579[ 35, 331776, 2, "1",
5580  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5581  "2^8:3^4:D_16", [ "Z", 2, 8 ],
5582  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5583          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5584          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5585          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5586          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5587          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5588          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
5589          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
5590        ,
5591      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5592          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5593          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5594          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5595          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5596          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5597          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5598          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
5599         ] ] ],
5600[ 36, 331776, 2, "1",
5601  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5602  "2^8:3^4:SD_16", [ "Z", 2, 8 ],
5603  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5604          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5605          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5606          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5607          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5608          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
5609          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
5610          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
5611        ,
5612      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5613          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5614          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5615          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5616          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5617          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5618          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5619          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
5620         ] ] ],
5621[ 37, 663552, 2, "1",
5622  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5623  "2^8:3^4:(2 x D_8):2", [ "Z", 2, 8 ],
5624  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5625          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5626          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5627          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5628          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5629          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5630          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5631          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5632        ,
5633      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5634          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5635          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5636          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5637          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5638          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5639          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5640          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ]
5641        ,
5642      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5643          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5644          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5645          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5646          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5647          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5648          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
5649          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
5650         ] ] ],
5651[ 38, 663552, 2, "1",
5652  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5653  "2^8:3^4:D_16:2", [ "Z", 2, 8 ],
5654  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5655          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5656          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5657          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5658          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5659          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5660          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
5661          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
5662        ,
5663      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5664          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5665          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5666          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5667          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5668          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5669          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5670          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5671        ,
5672      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5673          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5674          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5675          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5676          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5677          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5678          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
5679          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
5680         ] ] ],
5681[ 39, 663552, 2, "1",
5682  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5683  "2^8:3^4:SA_16:2", [ "Z", 2, 8 ],
5684  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5685          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5686          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5687          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5688          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5689          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5690          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5691          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5692        ,
5693      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5694          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5695          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5696          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5697          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5698          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5699          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5700          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
5701         ] ] ],
5702[ 40, 663552, 2, "1",
5703  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5704  "2^8:3^4:(2^2:4):2", [ "Z", 2, 8 ],
5705  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5706          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5707          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5708          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5709          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5710          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5711          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5712          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5713        ,
5714      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5715          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5716          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5717          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5718          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5719          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5720          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5721          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
5722         ] ] ],
5723[ 41, 1327104, 2, "1",
5724  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5725  "2^8:(GL(2, 2) wreath 2^2)", [ "Z", 2, 8 ],
5726  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5727          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5728          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5729          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
5730          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5731          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
5732          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
5733          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
5734        ,
5735      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5736          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5737          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5738          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
5739          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5740          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
5741          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
5742          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
5743        ,
5744      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5745          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5746          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
5747          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
5748          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
5749          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5750          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5751          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
5752         ] ] ],
5753[ 42, 1327104, 2, "1",
5754  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5755  "2^8:(GL(2, 2) wreath 4)", [ "Z", 2, 8 ],
5756  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5757          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5758          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5759          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5760          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5761          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5762          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5763          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5764        ,
5765      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5766          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5767          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5768          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5769          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5770          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5771          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
5772          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
5773         ] ] ],
5774[ 43, 1327104, 2, "1",
5775  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5776  "2^8:3^4:SA_16:2^2", [ "Z", 2, 8 ],
5777  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5778          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5779          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5780          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5781          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5782          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5783          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5784          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5785        ,
5786      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5787          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5788          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5789          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5790          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
5791          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5792          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5793          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5794        ,
5795      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5796          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5797          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5798          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5799          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5800          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5801          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5802          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
5803         ] ] ],
5804[ 44, 1327104, 2, "1",
5805  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5806  "2^8:3^4:(2 x D_8):4", [ "Z", 2, 8 ],
5807  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5808          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5809          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5810          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5811          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5812          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
5813          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
5814          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5815        ,
5816      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5817          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5818          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5819          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5820          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
5821          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5822          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5823          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
5824         ] ] ],
5825[ 45, 82944, 2, "1", [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ]
5826     ], 1, "2^8:(3 x (3^3:4))", [ "Z", 2, 8 ],
5827  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5828          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5829          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5830          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5831          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5832          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5833          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5834          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5835        ,
5836      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5837          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5838          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5839          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5840          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5841          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5842          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5843          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
5844         ] ] ],
5845[ 46, 165888, 2, "1",
5846  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5847  "2^8:3^4:(2 x 4)", [ "Z", 2, 8 ],
5848  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5849          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5850          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5851          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5852          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5853          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
5854          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5855          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
5856        ,
5857      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5858          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5859          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5860          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5861          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5862          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
5863          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5864          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ]
5865         ] ] ],
5866[ 47, 165888, 2, "1",
5867  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1, "2^8:3^4:8",
5868  [ "Z", 2, 8 ],
5869  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5870          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5871          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5872          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5873          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5874          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5875          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5876          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
5877        ,
5878      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5879          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5880          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5881          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5882          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5883          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5884          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5885          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
5886         ] ] ],
5887[ 48, 331776, 2, "1",
5888  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5889  "2^8:3^4:(2^2:4)", [ "Z", 2, 8 ],
5890  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5891          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5892          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5893          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5894          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5895          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5896          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5897          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
5898        ,
5899      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5900          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5901          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5902          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5903          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5904          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5905          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5906          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
5907         ] ] ],
5908[ 49, 331776, 2, "1",
5909  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5910  "2^8:3^4:SA_16", [ "Z", 2, 8 ],
5911  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5912          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5913          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5914          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5915          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5916          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5917          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5918          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
5919        ,
5920      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5921          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5922          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5923          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5924          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5925          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5926          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5927          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
5928         ] ] ],
5929[ 50, 663552, 2, "1",
5930  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5931  "2^8:3^4:(2^2:4):2", [ "Z", 2, 8 ],
5932  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5933          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5934          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5935          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5936          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5937          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5938          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
5939          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ]
5940        ,
5941      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5942          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5943          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5944          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5945          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
5946          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
5947          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
5948          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
5949         ] ] ],
5950[ 51, 663552, 2, "1",
5951  [ [ 12, 1 ], [ 36, 1 ], [ 81, 1 ], [ 18, 1 ], [ 108, 1 ] ], 1,
5952  "2^8:3^4:SA_16:2", [ "Z", 2, 8 ],
5953  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5954          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5955          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5956          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5957          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5958          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
5959          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
5960          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
5961        ,
5962      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5963          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5964          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5965          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5966          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5967          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5968          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
5969          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
5970         ] ] ],
5971[ 52, 27648, 2, "1", [ [ 12, 1 ], [ 27, 1 ], [ 18, 3 ], [ 108, 1 ], [ 54, 1 ]
5972     ], 1, "2^8:(3 x (3^2:2^2))", [ "Z", 2, 8 ],
5973  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5974          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5975          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5976          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5977          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5978          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5979          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5980          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
5981        ,
5982      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5983          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5984          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5985          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
5986          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5987          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
5988          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5989          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
5990         ] ] ],
5991[ 53, 27648, 2, "1", [ [ 12, 1 ], [ 27, 3 ], [ 18, 3 ], [ 108, 1 ] ], 1,
5992  "2^8:3^3:2^2", [ "Z", 2, 8 ],
5993  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5994          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5995          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
5996          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
5997          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
5998          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
5999          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
6000          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
6001        ,
6002      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6003          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6004          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6005          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
6006          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
6007          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6008          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
6009          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ]
6010         ] ] ],
6011[ 54, 55296, 2, "1", [ [ 12, 1 ], [ 27, 1 ], [ 18, 3 ], [ 108, 1 ], [ 54, 1 ]
6012     ], 1, "2^8:3^3:2^3", [ "Z", 2, 8 ],
6013  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6014          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6015          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6016          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6017          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6018          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6019          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6020          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
6021        ,
6022      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6023          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6024          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6025          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6026          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6027          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6028          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6029          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
6030        ,
6031      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6032          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6033          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6034          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6035          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6036          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6037          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6038          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
6039         ] ] ],
6040[ 55, 18432, 2, "1", [ [ 12, 1 ], [ 36, 1 ], [ 72, 2 ], [ 18, 3 ], [ 9, 1 ] ],
6041  1, "2^8:3^2:Q_8", [ "Z", 2, 8 ],
6042  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6043          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6044          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6045          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6046          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6047          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6048          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6049          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
6050        ,
6051      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6052          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6053          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6054          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6055          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6056          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6057          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6058          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
6059         ] ] ],
6060[ 56, 82944, 2, "1", [ [ 12, 1 ], [ 27, 3 ], [ 108, 1 ], [ 54, 1 ] ], 1,
6061  "2^8:3^3:2^2:3", [ "Z", 2, 8 ],
6062  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6063          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6064          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6065          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6066          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
6067          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
6068          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6069          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
6070        ,
6071      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6072          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6073          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6074          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6075          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6076          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6077          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
6078          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
6079         ] ] ],
6080[ 57, 82944, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
6081  "2^8:3^3:2^2:3", [ "Z", 2, 8 ],
6082  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6083          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6084          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6085          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6086          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6087          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6088          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6089          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
6090        ,
6091      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6092          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6093          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6094          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6095          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6096          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6097          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6098          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
6099         ] ] ],
6100[ 58, 165888, 2, "1", [ [ 12, 1 ], [ 27, 1 ], [ 108, 1 ], [ 54, 2 ] ], 1,
6101  "2^8:3^3:Alt(4):2", [ "Z", 2, 8 ],
6102  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6103          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6104          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6105          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6106          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6107          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6108          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
6109          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
6110        ,
6111      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6112          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6113          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6114          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6115          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6116          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6117          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6118          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
6119         ] ] ],
6120[ 59, 55296, 2, "1", [ [ 12, 1 ], [ 36, 1 ], [ 72, 2 ], [ 9, 1 ], [ 54, 1 ] ],
6121  1, "2^8:(3^2:Q_8):3", [ "Z", 2, 8 ],
6122  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6123          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6124          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6125          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6126          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6127          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6128          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6129          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ]
6130        ,
6131      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6132          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6133          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6134          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6135          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6136          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
6137          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6138          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
6139         ] ] ],
6140[ 60, 165888, 2, "1", [ [ 12, 1 ], [ 27, 3 ], [ 108, 1 ], [ 54, 1 ] ], 1,
6141  "2^8:3^3:Sym(4)", [ "Z", 2, 8 ],
6142  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6143          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6144          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6145          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6146          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6147          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6148          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6149          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
6150        ,
6151      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6152          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6153          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6154          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6155          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6156          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6157          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6158          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
6159         ] ] ],
6160[ 61, 165888, 2, "1", [ [ 12, 1 ], [ 27, 1 ], [ 108, 1 ], [ 54, 2 ] ], 1,
6161  "2^8:3^3:Sym(4)", [ "Z", 2, 8 ],
6162  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6163          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6164          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6165          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6166          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6167          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6168          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6169          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
6170        ,
6171      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6172          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6173          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6174          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6175          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6176          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6177          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6178          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
6179         ] ] ],
6180[ 62, 165888, 2, "1", [ [ 12, 1 ], [ 81, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
6181  "2^8:3^3:Sym(4)", [ "Z", 2, 8 ],
6182  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6183          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6184          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6185          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6186          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6187          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6188          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
6189          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ]
6190        ,
6191      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6192          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6193          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6194          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6195          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6196          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6197          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6198          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
6199         ] ] ],
6200[ 63, 331776, 2, "1", [ [ 12, 1 ], [ 27, 1 ], [ 108, 1 ], [ 54, 2 ] ], 1,
6201  "2^8:3^4:Sym(4):2", [ "Z", 2, 8 ],
6202  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6203          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6204          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6205          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6206          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6207          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6208          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
6209          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
6210        ,
6211      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6212          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6213          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6214          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6215          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6216          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6217          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
6218          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
6219         ] ] ],
6220[ 64, 110592, 2, "1", [ [ 12, 1 ], [ 36, 1 ], [ 72, 2 ], [ 9, 1 ], [ 54, 1 ] ]
6221    , 1, "2^8:3^2:Q_8:Sym(3)", [ "Z", 2, 8 ],
6222  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6223          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6224          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6225          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6226          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6227          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6228          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6229          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
6230        ,
6231      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6232          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6233          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6234          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6235          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6236          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6237          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6238          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
6239         ] ] ],
6240[ 65, 55296, 2, "1",
6241  [ [ 12, 1 ], [ 36, 1 ], [ 27, 1 ], [ 18, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
6242  "2^8:(3^2:2):(2^2 x 3)", [ "Z", 2, 8 ],
6243  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6244          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6245          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6246          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6247          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6248          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6249          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6250          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6251        ,
6252      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6253          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6254          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6255          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6256          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6257          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6258          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6259          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
6260         ] ] ],
6261[ 66, 55296, 2, "1", [ [ 12, 1 ], [ 36, 1 ], [ 27, 3 ], [ 18, 1 ], [ 108, 1 ]
6262     ], 1, "2^8:3^3:D_8", [ "Z", 2, 8 ],
6263  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6264          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6265          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6266          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6267          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6268          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6269          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6270          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
6271        ,
6272      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6273          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6274          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6275          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6276          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6277          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6278          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6279          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
6280         ] ] ],
6281[ 67, 55296, 2, "1",
6282  [ [ 12, 1 ], [ 36, 1 ], [ 27, 1 ], [ 18, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
6283  "2^8:3^3:D_8", [ "Z", 2, 8 ],
6284  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6285          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6286          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6287          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6288          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6289          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6290          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
6291          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
6292        ,
6293      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6294          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6295          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6296          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6297          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6298          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6299          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
6300          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
6301         ] ] ],
6302[ 68, 55296, 2, "1",
6303  [ [ 12, 1 ], [ 36, 1 ], [ 27, 1 ], [ 18, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
6304  "2^8:3^3:D_8", [ "Z", 2, 8 ],
6305  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6306          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6307          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6308          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6309          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6310          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6311          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6312          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
6313        ,
6314      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6315          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6316          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6317          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6318          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6319          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6320          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6321          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
6322         ] ] ],
6323[ 69, 110592, 2, "1",
6324  [ [ 12, 1 ], [ 36, 1 ], [ 27, 1 ], [ 18, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
6325  "2^8:(D_6 x (3^2:D_8))", [ "Z", 2, 8 ],
6326  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6327          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6328          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6329          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6330          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6331          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6332          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6333          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
6334        ,
6335      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6336          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6337          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6338          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6339          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6340          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6341          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6342          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
6343        ,
6344      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6345          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6346          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6347          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6348          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6349          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6350          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6351          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
6352         ] ] ],
6353[ 70, 36864, 2, "1", [ [ 12, 1 ], [ 36, 2 ], [ 72, 2 ], [ 18, 1 ], [ 9, 1 ] ],
6354  1, "2^8:3^2:SD_16", [ "Z", 2, 8 ],
6355  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6356          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6357          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6358          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6359          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6360          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6361          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6362          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
6363        ,
6364      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6365          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6366          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6367          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6368          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6369          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6370          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6371          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
6372         ] ] ],
6373[ 71, 27648, 2, "1",
6374  [ [ 12, 1 ], [ 36, 1 ], [ 27, 1 ], [ 18, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
6375  "2^8:(3 x (3^2:4))", [ "Z", 2, 8 ],
6376  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6377          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6378          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6379          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6380          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6381          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6382          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6383          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
6384        ,
6385      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6386          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6387          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6388          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6389          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6390          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
6391          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
6392          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
6393         ] ] ],
6394[ 72, 27648, 2, "1", [ [ 12, 1 ], [ 36, 1 ], [ 27, 3 ], [ 18, 1 ], [ 108, 1 ]
6395     ], 1, "2^8:3^3:4", [ "Z", 2, 8 ],
6396  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6397          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6398          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6399          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6400          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6401          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6402          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
6403          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ]
6404        ,
6405      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6406          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6407          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6408          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6409          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6410          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
6411          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6412          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
6413         ] ] ],
6414[ 73, 55296, 2, "1",
6415  [ [ 12, 1 ], [ 36, 1 ], [ 27, 1 ], [ 18, 1 ], [ 108, 1 ], [ 54, 1 ] ], 1,
6416  "2^8:3^3:(2 x 4)", [ "Z", 2, 8 ],
6417  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6418          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6419          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6420          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6421          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6422          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6423          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6424          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
6425        ,
6426      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6427          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6428          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6429          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6430          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6431          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6432          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6433          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
6434         ] ] ],
6435[ 74, 18432, 2, "1", [ [ 12, 1 ], [ 36, 2 ], [ 72, 2 ], [ 18, 1 ], [ 9, 1 ] ],
6436  1, "2^8:3^2:8", [ "Z", 2, 8 ],
6437  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6438          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6439          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6440          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6441          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6442          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6443          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6444          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6445        ,
6446      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6447          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6448          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6449          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6450          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6451          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6452          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6453          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
6454         ] ] ],
6455[ 75, 1843200, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
6456  "2^8:(3^2 x 5^2):SA_16:2", [ "Z", 2, 8 ],
6457  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6458          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6459          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6460          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6461          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6462          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6463          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6464          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
6465        ,
6466      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6467          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6468          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6469          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6470          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6471          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
6472          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
6473          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
6474         ] ] ],
6475[ 76, 460800, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
6476  "2^8:(3 x (3 x 5^2):D_8)", [ "Z", 2, 8 ],
6477  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6478          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6479          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6480          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6481          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6482          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
6483          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
6484          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6485        ,
6486      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6487          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6488          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6489          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
6490          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6491          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
6492          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
6493          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
6494         ] ] ],
6495[ 77, 921600, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
6496  "2^8:(3^2 x 5^2):D_8.2", [ "Z", 2, 8 ],
6497  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6498          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6499          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6500          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6501          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6502          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6503          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6504          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
6505        ,
6506      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6507          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6508          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6509          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6510          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6511          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6512          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6513          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6514        ,
6515      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6516          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6517          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6518          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6519          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6520          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6521          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6522          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
6523         ] ] ],
6524[ 78, 921600, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
6525  "2^8:(3^2 x 5^2):SA_16", [ "Z", 2, 8 ],
6526  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6527          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6528          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6529          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6530          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6531          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6532          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6533          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
6534        ,
6535      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6536          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6537          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6538          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6539          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6540          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
6541          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6542          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
6543         ] ] ],
6544[ 79, 204800, 2, "1", [ [ 100, 2 ], [ 25, 1 ], [ 20, 1 ], [ 10, 1 ] ], 1,
6545  "2^8:5^2:(SA_16:2)", [ "Z", 2, 8 ],
6546  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6547          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6548          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6549          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6550          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6551          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6552          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6553          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
6554        ,
6555      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6556          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6557          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6558          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6559          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6560          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6561          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6562          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
6563         ] ] ],
6564[ 80, 51200, 2, "1", [ [ 25, 3 ], [ 50, 3 ], [ 10, 3 ] ], 1, "2^8:5^2:D_8",
6565  [ "Z", 2, 8 ],
6566  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6567          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6568          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6569          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6570          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6571          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6572          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
6573          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6574        ,
6575      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6576          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6577          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6578          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
6579          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6580          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6581          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
6582          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
6583         ] ] ],
6584[ 81, 153600, 2, "1", [ [ 150, 1 ], [ 30, 1 ], [ 75, 1 ] ], 1,
6585  "2^8:(3 x (5^2:D_8))", [ "Z", 2, 8 ],
6586  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6587          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6588          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6589          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6590          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6591          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6592          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6593          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
6594        ,
6595      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6596          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6597          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6598          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6599          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6600          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6601          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6602          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
6603         ] ] ],
6604[ 82, 153600, 2, "1", [ [ 30, 1 ], [ 75, 3 ] ], 1, "2^8:(3 x 5^2):D_8",
6605  [ "Z", 2, 8 ],
6606  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6607          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6608          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6609          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6610          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6611          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6612          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
6613          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
6614        ,
6615      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6616          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6617          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6618          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6619          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6620          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6621          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
6622          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ]
6623         ] ] ],
6624[ 83, 102400, 2, "1",
6625  [ [ 100, 1 ], [ 25, 1 ], [ 50, 2 ], [ 20, 1 ], [ 10, 1 ] ], 1,
6626  "2^8:5^2:(Q_8:2)", [ "Z", 2, 8 ],
6627  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6628          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6629          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6630          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6631          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6632          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
6633          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6634          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
6635        ,
6636      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6637          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6638          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6639          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6640          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6641          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6642          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6643          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
6644        ,
6645      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6646          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6647          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6648          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6649          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6650          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
6651          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
6652          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
6653         ] ] ],
6654[ 84, 307200, 2, "1", [ [ 150, 1 ], [ 30, 1 ], [ 75, 1 ] ], 1,
6655  "2^8:(3 x 5^2):(D_8.2)", [ "Z", 2, 8 ],
6656  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6657          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6658          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6659          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6660          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6661          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6662          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
6663          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
6664        ,
6665      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6666          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6667          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6668          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6669          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6670          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6671          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
6672          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
6673        ,
6674      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6675          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6676          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6677          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6678          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6679          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6680          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6681          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
6682         ] ] ],
6683[ 85, 102400, 2, "1", [ [ 100, 2 ], [ 25, 1 ], [ 20, 1 ], [ 10, 1 ] ], 1,
6684  "2^8:5^2:SA_16", [ "Z", 2, 8 ],
6685  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6686          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6687          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6688          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6689          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6690          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6691          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6692          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
6693        ,
6694      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6695          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6696          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6697          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6698          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6699          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
6700          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6701          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
6702         ] ] ],
6703[ 86, 115200, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1, "2^8:(15 x D_30)",
6704  [ "Z", 2, 8 ],
6705  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6706          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6707          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6708          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6709          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6710          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6711          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6712          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
6713        ,
6714      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6715          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6716          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6717          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6718          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6719          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6720          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6721          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
6722         ] ] ],
6723[ 87, 230400, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
6724  "2^8:(3 x (3 x 5^2):2^2)", [ "Z", 2, 8 ],
6725  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6726          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6727          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6728          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6729          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6730          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6731          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6732          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6733        ,
6734      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6735          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6736          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6737          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6738          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6739          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6740          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6741          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
6742         ] ] ],
6743[ 88, 230400, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
6744  "2^8:(3 x (3 x 5^2):4)", [ "Z", 2, 8 ],
6745  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6746          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6747          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6748          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6749          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6750          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6751          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6752          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
6753        ,
6754      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6755          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6756          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6757          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6758          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6759          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6760          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
6761          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
6762         ] ] ],
6763[ 89, 12800, 2, "1", [ [ 25, 3 ], [ 50, 3 ], [ 10, 3 ] ], 1,
6764  "2^8:(5 x D_10)", [ "Z", 2, 8 ],
6765  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6766          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6767          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6768          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6769          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6770          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
6771          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6772          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
6773        ,
6774      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6775          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6776          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6777          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6778          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6779          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
6780          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6781          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
6782         ] ] ],
6783[ 90, 25600, 2, "1", [ [ 25, 3 ], [ 50, 3 ], [ 10, 3 ] ], 1, "2^8:5^2:2^2",
6784  [ "Z", 2, 8 ],
6785  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6786          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6787          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6788          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6789          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
6790          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
6791          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6792          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6793        ,
6794      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6795          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6796          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6797          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6798          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
6799          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6800          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6801          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
6802         ] ] ],
6803[ 91, 25600, 2, "1", [ [ 25, 3 ], [ 50, 3 ], [ 10, 3 ] ], 1, "2^8:5^2:4",
6804  [ "Z", 2, 8 ],
6805  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6806          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6807          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6808          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6809          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6810          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6811          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6812          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6813        ,
6814      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6815          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6816          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6817          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6818          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6819          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6820          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6821          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
6822         ] ] ],
6823[ 92, 38400, 2, "1", [ [ 150, 1 ], [ 30, 1 ], [ 75, 1 ] ], 1,
6824  "2^8:(15 x D_10)", [ "Z", 2, 8 ],
6825  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6826          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6827          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6828          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
6829          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6830          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6831          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6832          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
6833        ,
6834      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6835          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6836          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6837          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6838          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
6839          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6840          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6841          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
6842         ] ] ],
6843[ 93, 76800, 2, "1", [ [ 150, 1 ], [ 30, 1 ], [ 75, 1 ] ], 1,
6844  "2^8:(3 x (5^2:2^2))", [ "Z", 2, 8 ],
6845  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6846          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6847          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6848          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
6849          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6850          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6851          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6852          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
6853        ,
6854      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6855          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6856          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6857          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6858          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6859          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6860          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6861          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
6862         ] ] ],
6863[ 94, 76800, 2, "1", [ [ 150, 1 ], [ 30, 1 ], [ 75, 1 ] ], 1,
6864  "2^8:(3 x (5^2:4))", [ "Z", 2, 8 ],
6865  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6866          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6867          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6868          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6869          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6870          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6871          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6872          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6873        ,
6874      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6875          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6876          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6877          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6878          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6879          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6880          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6881          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
6882         ] ] ],
6883[ 95, 38400, 2, "1", [ [ 30, 1 ], [ 75, 3 ] ], 1, "2^8:(5 x D_30)",
6884  [ "Z", 2, 8 ],
6885  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6886          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6887          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6888          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6889          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6890          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6891          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
6892          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
6893        ,
6894      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6895          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6896          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6897          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6898          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
6899          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6900          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6901          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
6902         ] ] ],
6903[ 96, 76800, 2, "1", [ [ 30, 1 ], [ 75, 3 ] ], 1, "2^8:(3 x 5^2):2^2",
6904  [ "Z", 2, 8 ],
6905  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6906          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6907          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6908          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6909          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6910          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6911          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6912          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
6913        ,
6914      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6915          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6916          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6917          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6918          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6919          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
6920          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6921          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
6922         ] ] ],
6923[ 97, 76800, 2, "1", [ [ 30, 1 ], [ 75, 3 ] ], 1, "2^8:(3 x 5^2):4",
6924  [ "Z", 2, 8 ],
6925  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6926          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6927          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6928          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6929          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6930          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6931          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6932          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
6933        ,
6934      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6935          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6936          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6937          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6938          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6939          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6940          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
6941          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
6942         ] ] ],
6943[ 98, 460800, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
6944  "2^8:(3^2 x 5^2):(2 x 4)", [ "Z", 2, 8 ],
6945  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6946          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6947          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6948          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6949          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6950          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6951          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
6952          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
6953        ,
6954      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6955          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6956          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6957          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6958          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6959          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6960          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
6961          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
6962         ] ] ],
6963[ 99, 460800, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
6964  "2^8:(3^2 x 5^2):D_8", [ "Z", 2, 8 ],
6965  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6966          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6967          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6968          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6969          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6970          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
6971          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6972          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6973        ,
6974      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6975          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6976          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6977          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6978          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6979          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6980          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
6981          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
6982         ] ] ],
6983[ 100, 460800, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
6984  "2^8:(3^2 x 5^2):Q_8", [ "Z", 2, 8 ],
6985  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6986          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6987          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
6988          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6989          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6990          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6991          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6992          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
6993        ,
6994      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
6995          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
6996          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
6997          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
6998          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
6999          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7000          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7001          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
7002         ] ] ],
7003[ 101, 51200, 2, "1",
7004  [ [ 100, 1 ], [ 25, 1 ], [ 50, 2 ], [ 20, 1 ], [ 10, 1 ] ], 1,
7005  "2^8:5^2:(2 x 4)", [ "Z", 2, 8 ],
7006  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7007          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7008          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7009          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7010          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7011          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7012          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7013          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
7014        ,
7015      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7016          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7017          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7018          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7019          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7020          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7021          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7022          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
7023         ] ] ],
7024[ 102, 51200, 2, "1",
7025  [ [ 100, 1 ], [ 25, 1 ], [ 50, 2 ], [ 20, 1 ], [ 10, 1 ] ], 1,
7026  "2^8:5^2:D_8", [ "Z", 2, 8 ],
7027  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7028          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7029          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7030          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7031          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7032          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7033          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7034          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
7035        ,
7036      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7037          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7038          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7039          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7040          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7041          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7042          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7043          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
7044         ] ] ],
7045[ 103, 51200, 2, "1",
7046  [ [ 100, 1 ], [ 25, 1 ], [ 50, 2 ], [ 20, 1 ], [ 10, 1 ] ], 1,
7047  "2^8:5^2:Q_8", [ "Z", 2, 8 ],
7048  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7049          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7050          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7051          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7052          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7053          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7054          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
7055          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
7056        ,
7057      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7058          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7059          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7060          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7061          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7062          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7063          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
7064          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
7065         ] ] ],
7066[ 104, 153600, 2, "1", [ [ 150, 1 ], [ 30, 1 ], [ 75, 1 ] ], 1,
7067  "2^8:(3 x 5^2):(2 x 4)", [ "Z", 2, 8 ],
7068  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7069          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7070          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7071          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
7072          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7073          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7074          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7075          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ]
7076        ,
7077      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7078          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7079          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7080          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7081          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7082          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7083          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7084          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
7085         ] ] ],
7086[ 105, 153600, 2, "1", [ [ 150, 1 ], [ 30, 1 ], [ 75, 1 ] ], 1,
7087  "2^8:(3 x 5^2):D_8", [ "Z", 2, 8 ],
7088  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7089          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7090          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7091          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7092          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7093          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7094          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7095          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
7096        ,
7097      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7098          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7099          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7100          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7101          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7102          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7103          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7104          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
7105         ] ] ],
7106[ 106, 153600, 2, "1", [ [ 150, 1 ], [ 30, 1 ], [ 75, 1 ] ], 1,
7107  "2^8:(3 x 5^2):(2 x 4)", [ "Z", 2, 8 ],
7108  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7109          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7110          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7111          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7112          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7113          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7114          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
7115          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
7116        ,
7117      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7118          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7119          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7120          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7121          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
7122          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7123          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7124          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
7125         ] ] ],
7126[ 107, 153600, 2, "1", [ [ 150, 1 ], [ 30, 1 ], [ 75, 1 ] ], 1,
7127  "2^8:(3 x 5^2):Q_8", [ "Z", 2, 8 ],
7128  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7129          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7130          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7131          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7132          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7133          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7134          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7135          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
7136        ,
7137      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7138          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7139          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7140          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7141          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7142          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7143          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7144          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
7145         ] ] ],
7146[ 108, 460800, 2, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1, "2^8:(3^2 x 5^2):8",
7147  [ "Z", 2, 8 ],
7148  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7149          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7150          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7151          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7152          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7153          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7154          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7155          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
7156        ,
7157      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7158          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7159          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7160          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7161          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7162          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7163          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7164          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
7165         ] ] ],
7166[ 109, 51200, 2, "1", [ [ 100, 2 ], [ 25, 1 ], [ 20, 1 ], [ 10, 1 ] ], 1,
7167  "2^8:5^2:8", [ "Z", 2, 8 ],
7168  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7169          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7170          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7171          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7172          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7173          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7174          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
7175          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
7176        ,
7177      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7178          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7179          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7180          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7181          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7182          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7183          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
7184          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
7185         ] ] ],
7186[ 110, 23040, 2, "1", [ [ 45, 1 ], [ 90, 2 ], [ 30, 1 ] ], 1,
7187  "2^8:(15 x Sym(3))", [ "Z", 2, 8 ],
7188  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7189          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7190          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7191          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7192          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7193          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7194          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7195          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
7196        ,
7197      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7198          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7199          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7200          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7201          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7202          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7203          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7204          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
7205         ] ] ],
7206[ 111, 23040, 2, "1", [ [ 45, 5 ], [ 30, 1 ] ], 1, "2^8:(5 x 3^2):2",
7207  [ "Z", 2, 8 ],
7208  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7209          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7210          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7211          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7212          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7213          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7214          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7215          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
7216        ,
7217      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7218          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7219          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7220          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7221          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7222          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7223          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7224          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
7225         ] ] ],
7226[ 112, 46080, 2, "1", [ [ 45, 1 ], [ 90, 2 ], [ 30, 1 ] ], 1,
7227  "2^8:(3 x D_6 x D_10)", [ "Z", 2, 8 ],
7228  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7229          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7230          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7231          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7232          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7233          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7234          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7235          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
7236        ,
7237      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7238          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7239          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7240          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7241          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7242          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7243          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7244          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
7245         ] ] ],
7246[ 113, 46080, 2, "1", [ [ 45, 1 ], [ 180, 1 ], [ 30, 1 ] ], 1,
7247  "2^8:(3 x (15:4))", [ "Z", 2, 8 ],
7248  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7249          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7250          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7251          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7252          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7253          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7254          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7255          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ]
7256        ,
7257      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7258          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7259          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7260          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7261          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7262          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7263          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7264          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
7265         ] ] ],
7266[ 114, 15360, 2, "1", [ [ 15, 1 ], [ 60, 3 ], [ 30, 2 ] ], 1,
7267  "2^8:(3 x (5:4))", [ "Z", 2, 8 ],
7268  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7269          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7270          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7271          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7272          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
7273          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7274          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7275          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
7276        ,
7277      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7278          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7279          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7280          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7281          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7282          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7283          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7284          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
7285         ] ] ],
7286[ 115, 7680, 2, "1", [ [ 15, 3 ], [ 30, 7 ] ], 1, "2^8:(5 x Sym(3))",
7287  [ "Z", 2, 8 ],
7288  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7289          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7290          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7291          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7292          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7293          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7294          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7295          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
7296        ,
7297      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7298          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7299          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7300          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7301          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7302          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7303          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7304          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
7305         ] ] ],
7306[ 116, 7680, 2, "1", [ [ 30, 1 ], [ 15, 15 ] ], 1, "2^8:D_30", [ "Z", 2, 8 ],
7307  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7308          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7309          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7310          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7311          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7312          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7313          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
7314          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
7315        ,
7316      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7317          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7318          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7319          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7320          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7321          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7322          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
7323          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
7324         ] ] ],
7325[ 117, 15360, 2, "1", [ [ 15, 3 ], [ 30, 7 ] ], 1, "2^8:15:2^2",
7326  [ "Z", 2, 8 ],
7327  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7328          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7329          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7330          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7331          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7332          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7333          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7334          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
7335        ,
7336      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7337          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7338          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7339          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7340          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7341          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7342          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7343          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
7344         ] ] ],
7345[ 118, 92160, 2, "1", [ [ 45, 1 ], [ 180, 1 ], [ 30, 1 ] ], 1,
7346  "2^8:(Sym(3) x (15:4))", [ "Z", 2, 8 ],
7347  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7348          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7349          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7350          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7351          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7352          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7353          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7354          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
7355        ,
7356      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7357          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7358          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7359          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7360          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7361          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7362          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7363          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
7364         ] ] ],
7365[ 119, 30720, 2, "1", [ [ 15, 1 ], [ 60, 3 ], [ 30, 2 ] ], 1,
7366  "2^8:(D_6 x (5:4))", [ "Z", 2, 8 ],
7367  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7368          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7369          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7370          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7371          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7372          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7373          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
7374          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
7375        ,
7376      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7377          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7378          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7379          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7380          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
7381          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7382          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
7383          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
7384         ] ] ],
7385[ 120, 522240, 2, "1", [ [ 255, 1 ] ], 2, "AGammaL(1, 2^8)", [ "Z", 2, 8 ],
7386  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7387          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7388          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7389          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7390          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7391          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
7392          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7393          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
7394        ,
7395      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7396          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7397          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7398          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7399          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7400          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
7401          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7402          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ]
7403         ] ] ],
7404[ 121, 261120, 2, "1", [ [ 255, 1 ] ], 2, "2^8:(3 x (85:4))",
7405  [ "Z", 2, 8 ],
7406  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7407          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7408          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7409          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7410          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7411          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
7412          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7413          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
7414        ,
7415      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7416          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7417          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7418          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7419          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7420          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
7421          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7422          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
7423         ] ] ],
7424[ 122, 130560, 2, "1", [ [ 255, 1 ] ], 2, "2^8:(15 x D_34)",
7425  [ "Z", 2, 8 ],
7426  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7427          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7428          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7429          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7430          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7431          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
7432          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
7433          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
7434        ,
7435      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7436          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7437          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7438          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
7439          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7440          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7441          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7442          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
7443         ] ] ],
7444[ 123, 65280, 2, "1", [ [ 255, 1 ] ], 2, "AGL(1, 2^8)", [ "Z", 2, 8 ],
7445  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7446          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7447          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7448          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7449          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7450          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7451          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
7452          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
7453        ,
7454      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7455          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7456          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7457          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7458          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7459          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
7460          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7461          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ]
7462         ] ] ],
7463[ 124, 43520, 2, "1", [ [ 85, 3 ] ], 1, "2^8:(5 x D_34)", [ "Z", 2, 8 ],
7464  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7465          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7466          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7467          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7468          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
7469          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7470          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7471          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
7472        ,
7473      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7474          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7475          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7476          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7477          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7478          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7479          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7480          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
7481         ] ] ],
7482[ 125, 87040, 2, "1", [ [ 85, 3 ] ], 1, "2^8:85:4", [ "Z", 2, 8 ],
7483  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7484          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7485          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7486          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7487          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7488          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7489          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7490          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
7491        ,
7492      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7493          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7494          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7495          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7496          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
7497          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
7498          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
7499          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
7500         ] ] ],
7501[ 126, 174080, 2, "1", [ [ 170, 1 ], [ 85, 1 ] ], 1, "2^8:85:8",
7502  [ "Z", 2, 8 ],
7503  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7504          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7505          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7506          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7507          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7508          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
7509          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7510          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ]
7511        ,
7512      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7513          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7514          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7515          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
7516          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7517          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7518          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
7519          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
7520         ] ] ],
7521[ 127, 21760, 2, "1", [ [ 85, 3 ] ], 1, "2^8:85", [ "Z", 2, 8 ],
7522  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7523          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7524          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7525          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7526          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7527          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
7528          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7529          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ]
7530        ,
7531      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7532          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7533          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7534          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7535          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
7536          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7537          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7538          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
7539         ] ] ],
7540[ 128, 13056, 2, "1", [ [ 51, 5 ] ], 1, "2^8:51", [ "Z", 2, 8 ],
7541  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7542          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7543          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7544          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
7545          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7546          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7547          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7548          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
7549        ,
7550      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7551          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7552          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7553          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7554          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7555          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
7556          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7557          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
7558         ] ] ],
7559[ 129, 26112, 2, "1", [ [ 51, 5 ] ], 1, "2^8:(3 x D_34)", [ "Z", 2, 8 ],
7560  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7561          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7562          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7563          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7564          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7565          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7566          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7567          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
7568        ,
7569      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7570          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7571          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7572          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7573          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7574          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7575          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7576          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
7577         ] ] ],
7578[ 130, 8704, 2, "1", [ [ 17, 15 ] ], 1, "2^8:D_34", [ "Z", 2, 8 ],
7579  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7580          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7581          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7582          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7583          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7584          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7585          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7586          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
7587        ,
7588      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7589          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7590          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7591          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7592          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7593          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7594          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7595          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
7596         ] ] ],
7597[ 131, 52224, 2, "1", [ [ 102, 2 ], [ 51, 1 ] ], 1, "2^8:(3 x (17:4))",
7598  [ "Z", 2, 8 ],
7599  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7600          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7601          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7602          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7603          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7604          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7605          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
7606          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
7607        ,
7608      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7609          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7610          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7611          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7612          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
7613          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7614          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7615          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
7616         ] ] ],
7617[ 132, 17408, 2, "1", [ [ 34, 6 ], [ 17, 3 ] ], 1, "2^8:17:4", [ "Z", 2, 8 ],
7618  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7619          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7620          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7621          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7622          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7623          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7624          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7625          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
7626        ,
7627      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7628          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7629          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7630          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7631          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7632          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7633          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7634          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
7635         ] ] ],
7636[ 133, 104448, 2, "1", [ [ 204, 1 ], [ 51, 1 ] ], 1, "2^8:51:8",
7637  [ "Z", 2, 8 ],
7638  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7639          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7640          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7641          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7642          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
7643          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7644          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7645          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
7646        ,
7647      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7648          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7649          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7650          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7651          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
7652          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7653          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7654          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ]
7655         ] ] ],
7656[ 134, 34816, 2, "1", [ [ 34, 1 ], [ 68, 3 ], [ 17, 1 ] ], 1, "2^8:17:8",
7657  [ "Z", 2, 8 ],
7658  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7659          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7660          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7661          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7662          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7663          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
7664          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7665          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ]
7666        ,
7667      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7668          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7669          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7670          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7671          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7672          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7673          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7674          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
7675         ] ] ],
7676[ 135, 4352, 2, "1", [ [ 17, 15 ] ], 1, "2^8:17", [ "Z", 2, 8 ],
7677  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7678          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7679          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7680          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7681          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7682          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7683          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7684          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
7685        ,
7686      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7687          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7688          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7689          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7690          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7691          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7692          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
7693          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
7694         ] ] ],
7695[ 136, 43008, 0, "1",
7696  [ [ 56, 1 ], [ 24, 1 ], [ 28, 1 ], [ 84, 1 ], [ 42, 1 ], [ 21, 1 ] ], 1,
7697  "2^8:L(3, 2)", [ "Z", 2, 8 ],
7698  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7699          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7700          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7701          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7702          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7703          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7704          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
7705          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
7706        ,
7707      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7708          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7709          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7710          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7711          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
7712          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7713          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7714          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
7715         ] ] ],
7716[ 137, 46080, 0, "1", [ [ 90, 1 ], [ 15, 1 ], [ 60, 2 ], [ 30, 1 ] ], 1,
7717  "2^8:(3 x Alt(5))", [ "Z", 2, 8 ],
7718  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7719          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7720          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7721          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7722          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7723          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7724          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7725          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ]
7726        ,
7727      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7728          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7729          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7730          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7731          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7732          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7733          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
7734          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
7735         ] ] ],
7736[ 138, 76800, 0, "1", [ [ 60, 3 ], [ 75, 1 ] ], 1, "2^8:(5 x Alt(5))",
7737  [ "Z", 2, 8 ],
7738  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7739          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7740          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7741          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7742          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7743          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7744          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7745          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
7746        ,
7747      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7748          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7749          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7750          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7751          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
7752          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7753          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7754          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
7755         ] ] ],
7756[ 139, 86016, 0, "1",
7757  [ [ 56, 1 ], [ 24, 1 ], [ 28, 1 ], [ 84, 1 ], [ 42, 1 ], [ 21, 1 ] ], 1,
7758  "2^8:GL(3, 2):2", [ "Z", 2, 8 ],
7759  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7760          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7761          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7762          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7763          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7764          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7765          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7766          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
7767        ,
7768      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7769          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7770          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7771          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7772          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7773          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7774          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7775          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
7776         ] ] ],
7777[ 140, 92160, 0, "1", [ [ 45, 1 ], [ 60, 1 ], [ 30, 1 ], [ 120, 1 ] ], 1,
7778  "2^8:GammaL(2, 4)", [ "Z", 2, 8 ],
7779  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7780          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7781          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7782          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7783          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7784          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7785          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
7786          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
7787        ,
7788      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7789          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7790          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7791          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
7792          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
7793          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7794          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
7795          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
7796         ] ] ],
7797[ 141, 92160, 0, "1", [ [ 90, 1 ], [ 15, 1 ], [ 60, 2 ], [ 30, 1 ] ], 1,
7798  "2^8:(3 x Sym(5)", [ "Z", 2, 8 ],
7799  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7800          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7801          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7802          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7803          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7804          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7805          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7806          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
7807        ,
7808      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7809          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7810          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7811          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7812          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
7813          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
7814          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
7815          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
7816         ] ] ],
7817[ 142, 92160, 0, "1", [ [ 45, 1 ], [ 60, 3 ], [ 30, 1 ] ], 1,
7818  "2^8:(Sym(3) x Alt(5))", [ "Z", 2, 8 ],
7819  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7820          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7821          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7822          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7823          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7824          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7825          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7826          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
7827        ,
7828      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7829          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7830          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7831          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7832          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7833          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
7834          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7835          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
7836         ] ] ],
7837[ 143, 92160, 0, "1", [ [ 90, 1 ], [ 15, 1 ], [ 60, 2 ], [ 30, 1 ] ], 1,
7838  "2^8:(Sym(3) x Alt(5))", [ "Z", 2, 8 ],
7839  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7840          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7841          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7842          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7843          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7844          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7845          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7846          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
7847        ,
7848      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7849          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7850          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7851          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7852          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7853          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7854          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7855          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
7856         ] ] ],
7857[ 144, 92160, 0, "1", [ [ 90, 1 ], [ 15, 1 ], [ 60, 2 ], [ 30, 1 ] ], 1,
7858  "2^8:(3 x Sym(5))", [ "Z", 2, 8 ],
7859  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7860          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7861          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7862          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7863          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
7864          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7865          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7866          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
7867        ,
7868      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7869          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7870          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7871          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7872          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7873          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7874          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7875          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
7876         ] ] ],
7877[ 145, 129024, 0, "1", [ [ 36, 1 ], [ 126, 1 ], [ 84, 1 ], [ 9, 1 ] ], 1,
7878  "2^8:PSL(2, 8)", [ "Z", 2, 8 ],
7879  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7880          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7881          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7882          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7883          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7884          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7885          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7886          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
7887        ,
7888      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7889          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7890          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7891          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7892          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7893          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7894          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7895          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
7896         ] ] ],
7897[ 146, 153600, 0, "1", [ [ 60, 3 ], [ 75, 1 ] ], 1,
7898  "2^8:(D_10 x Alt(5))", [ "Z", 2, 8 ],
7899  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7900          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7901          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7902          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7903          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7904          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7905          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7906          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
7907        ,
7908      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7909          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7910          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7911          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7912          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7913          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7914          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7915          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
7916         ] ] ],
7917[ 147, 184320, 0, "1", [ [ 45, 1 ], [ 180, 1 ], [ 30, 1 ] ], 1,
7918  "2^8:(Sym(3) x Sym(5))", [ "Z", 2, 8 ],
7919  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7920          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7921          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7922          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7923          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7924          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7925          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7926          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
7927        ,
7928      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7929          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7930          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7931          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7932          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
7933          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7934          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7935          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
7936         ] ] ],
7937[ 148, 184320, 0, "1", [ [ 45, 1 ], [ 180, 1 ], [ 30, 1 ] ], 1,
7938  "2^8:(Sym(3) x Sym(5))", [ "Z", 2, 8 ],
7939  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7940          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7941          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7942          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7943          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7944          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7945          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
7946          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
7947        ,
7948      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7949          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7950          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7951          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7952          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7953          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7954          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7955          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
7956         ] ] ],
7957[ 149, 184320, 0, "1", [ [ 45, 1 ], [ 60, 1 ], [ 30, 1 ], [ 120, 1 ] ], 1,
7958  "2^8:PGL(2, 9)", [ "Z", 2, 8 ],
7959  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7960          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7961          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7962          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7963          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7964          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7965          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7966          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
7967        ,
7968      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7969          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7970          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7971          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7972          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7973          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7974          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
7975          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
7976         ] ] ],
7977[ 150, 184320, 0, "1", [ [ 90, 1 ], [ 15, 1 ], [ 60, 2 ], [ 30, 1 ] ], 1,
7978  "2^8:M_10", [ "Z", 2, 8 ],
7979  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7980          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7981          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7982          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7983          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
7984          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7985          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
7986          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
7987        ,
7988      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7989          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7990          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
7991          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
7992          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
7993          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
7994          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
7995          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
7996         ] ] ],
7997[ 151, 230400, 0, "1", [ [ 180, 1 ], [ 75, 1 ] ], 1, "2^8:(15 x Alt(5))",
7998  [ "Z", 2, 8 ],
7999  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8000          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8001          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8002          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8003          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8004          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8005          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8006          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ]
8007        ,
8008      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8009          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8010          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8011          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8012          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8013          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8014          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8015          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
8016         ] ] ],
8017[ 152, 276480, 0, "1", [ [ 45, 1 ], [ 180, 1 ], [ 30, 1 ] ], 1,
8018  "2^8:(3 x Alt(6))", [ "Z", 2, 8 ],
8019  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8020          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8021          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8022          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8023          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8024          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8025          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8026          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
8027        ,
8028      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8029          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8030          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8031          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8032          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8033          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8034          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8035          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
8036         ] ] ],
8037[ 153, 276480, 0, "1", [ [ 45, 1 ], [ 90, 1 ], [ 120, 1 ] ], 1,
8038  "2^8:(GL(2, 4) x Sym(3))", [ "Z", 2, 8 ],
8039  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8040          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8041          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8042          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8043          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8044          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8045          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8046          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ]
8047        ,
8048      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8049          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8050          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8051          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8052          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8053          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8054          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8055          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
8056         ] ] ],
8057[ 154, 276480, 0, "1", [ [ 45, 1 ], [ 180, 1 ], [ 30, 1 ] ], 1,
8058  "2^8:(3 x GammaL(2, 4))", [ "Z", 2, 8 ],
8059  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8060          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8061          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8062          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8063          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8064          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8065          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8066          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
8067        ,
8068      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8069          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8070          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8071          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8072          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8073          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8074          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8075          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
8076         ] ] ],
8077[ 155, 307200, 0, "1", [ [ 60, 1 ], [ 75, 1 ], [ 120, 1 ] ], 1,
8078  "2^8:(D_10 x Alt(5)).2", [ "Z", 2, 8 ],
8079  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8080          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8081          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8082          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8083          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8084          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8085          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8086          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
8087        ,
8088      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8089          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8090          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8091          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8092          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8093          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8094          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8095          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
8096         ] ] ],
8097[ 156, 368640, 0, "1", [ [ 45, 1 ], [ 180, 1 ], [ 30, 1 ] ], 1,
8098  "2^8:PGammaL(2, 9)", [ "Z", 2, 8 ],
8099  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8100          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8101          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8102          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8103          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8104          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8105          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8106          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8107        ,
8108      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8109          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8110          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8111          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8112          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8113          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8114          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
8115          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
8116         ] ] ],
8117[ 157, 387072, 0, "1", [ [ 36, 1 ], [ 126, 1 ], [ 84, 1 ], [ 9, 1 ] ], 1,
8118  "2^8:PSL(2, 8):3", [ "Z", 2, 8 ],
8119  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8120          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8121          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8122          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8123          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8124          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8125          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8126          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
8127        ,
8128      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8129          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8130          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8131          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8132          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8133          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8134          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8135          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
8136         ] ] ],
8137[ 158, 460800, 0, "1", [ [ 180, 1 ], [ 75, 1 ] ], 1,
8138  "2^8:(3 x D_10 x Alt(5))", [ "Z", 2, 8 ],
8139  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8140          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8141          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8142          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8143          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8144          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8145          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
8146          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
8147        ,
8148      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8149          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8150          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8151          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8152          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8153          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8154          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8155          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
8156         ] ] ],
8157[ 159, 552960, 0, "1", [ [ 45, 1 ], [ 90, 1 ], [ 120, 1 ] ], 1,
8158  "2^8:(Sym(3) x Alt(6))", [ "Z", 2, 8 ],
8159  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8160          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8161          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8162          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8163          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8164          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8165          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8166          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
8167        ,
8168      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8169          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8170          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8171          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8172          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8173          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8174          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8175          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
8176         ] ] ],
8177[ 160, 552960, 0, "1", [ [ 45, 1 ], [ 90, 1 ], [ 120, 1 ] ], 1,
8178  "2^8:(3 x Alt(6)):2", [ "Z", 2, 8 ],
8179  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8180          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8181          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8182          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8183          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8184          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8185          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8186          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
8187        ,
8188      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8189          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8190          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8191          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8192          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
8193          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8194          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8195          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
8196         ] ] ],
8197[ 161, 552960, 0, "1", [ [ 45, 1 ], [ 180, 1 ], [ 30, 1 ] ], 1,
8198  "2^8:(3 x Sym(6))", [ "Z", 2, 8 ],
8199  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8200          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8201          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8202          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8203          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8204          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8205          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
8206          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
8207        ,
8208      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8209          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8210          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8211          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8212          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8213          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8214          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8215          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
8216         ] ] ],
8217[ 162, 552960, 0, "1", [ [ 45, 1 ], [ 90, 1 ], [ 120, 1 ] ], 1,
8218  "2^8:(Sym(3) x GammaL(2, 4))", [ "Z", 2, 8 ],
8219  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8220          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8221          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8222          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8223          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8224          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8225          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
8226          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8227        ,
8228      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8229          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8230          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8231          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8232          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8233          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8234          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8235          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
8236         ] ] ],
8237[ 163, 626688, 0, "1", [ [ 102, 1 ], [ 153, 1 ] ], 1, "2^8:PSL(2, 17)",
8238  [ "Z", 2, 8 ],
8239  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8240          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8241          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8242          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8243          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8244          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8245          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8246          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ]
8247        ,
8248      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8249          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8250          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8251          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8252          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
8253          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
8254          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8255          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
8256         ] ] ],
8257[ 164, 921600, 0, "1", [ [ 180, 1 ], [ 75, 1 ] ], 1,
8258  "2^8:(15 x GL(2, 4)).2", [ "Z", 2, 8 ],
8259  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8260          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8261          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8262          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8263          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8264          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
8265          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8266          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
8267        ,
8268      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8269          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8270          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8271          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8272          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8273          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8274          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8275          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
8276         ] ] ],
8277[ 165, 921600, 0, "1", [ [ 60, 3 ], [ 75, 1 ] ], 1, "2^8:Alt(5)^2",
8278  [ "Z", 2, 8 ],
8279  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8280          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8281          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8282          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8283          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8284          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
8285          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8286          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8287        ,
8288      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8289          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8290          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8291          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8292          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
8293          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8294          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8295          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
8296         ] ] ],
8297[ 166, 1044480, 0, "1", [ [ 255, 1 ] ], 2, "2^8:PSL(2, 16)", [ "Z", 2, 8 ],
8298  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8299          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8300          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8301          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8302          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8303          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
8304          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8305          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8306        ,
8307      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8308          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8309          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8310          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8311          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
8312          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8313          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
8314          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ]
8315         ] ] ],
8316[ 167, 1044480, 0, "1", [ [ 68, 3 ], [ 51, 1 ] ], 1, "2^8:PSL(2, 16)",
8317  [ "Z", 2, 8 ],
8318  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8319          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8320          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8321          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8322          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8323          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8324          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8325          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
8326        ,
8327      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8328          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8329          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8330          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8331          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8332          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8333          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8334          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
8335         ] ] ],
8336[ 168, 1105920, 0, "1", [ [ 45, 1 ], [ 90, 1 ], [ 120, 1 ] ], 1,
8337  "2^8:(Sym(3) x Sym(6))", [ "Z", 2, 8 ],
8338  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8339          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8340          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8341          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8342          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8343          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8344          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8345          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8346        ,
8347      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8348          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8349          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8350          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8351          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8352          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8353          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8354          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ]
8355         ] ] ],
8356[ 169, 1290240, 0, "1", [ [ 105, 1 ], [ 30, 1 ], [ 120, 1 ] ], 1,
8357  "2^8:Sym(7)", [ "Z", 2, 8 ],
8358  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8359          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8360          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8361          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8362          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8363          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8364          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8365          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ]
8366        ,
8367      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8368          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8369          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8370          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8371          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8372          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8373          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8374          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
8375         ] ] ],
8376[ 170, 1843200, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
8377  "2^8:(Alt(5) wreath Sym(2))", [ "Z", 2, 8 ],
8378  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8379          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8380          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8381          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8382          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8383          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
8384          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
8385          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
8386        ,
8387      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8388          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8389          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8390          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8391          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8392          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8393          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8394          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
8395         ] ] ],
8396[ 171, 1843200, 0, "1", [ [ 60, 1 ], [ 75, 1 ], [ 120, 1 ] ], 1,
8397  "2^8:(Alt(5) wreath Sym(2))", [ "Z", 2, 8 ],
8398  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8399          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8400          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8401          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8402          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8403          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8404          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8405          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
8406        ,
8407      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8408          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8409          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8410          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8411          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8412          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8413          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8414          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
8415         ] ] ],
8416[ 172, 1843200, 0, "1", [ [ 60, 1 ], [ 75, 1 ], [ 120, 1 ] ], 1,
8417  "2^8:Alt(5)^2:2", [ "Z", 2, 8 ],
8418  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8419          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8420          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8421          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8422          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8423          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8424          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8425          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
8426        ,
8427      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8428          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8429          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8430          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8431          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8432          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8433          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8434          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
8435         ] ] ],
8436[ 173, 1843200, 0, "1", [ [ 60, 3 ], [ 75, 1 ] ], 1,
8437  "2^8:(Alt(5) wreath Sym(2))", [ "Z", 2, 8 ],
8438  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8439          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8440          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8441          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8442          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8443          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8444          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8445          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8446        ,
8447      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8448          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8449          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8450          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8451          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8452          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8453          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8454          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
8455         ] ] ],
8456[ 174, 1843200, 0, "1", [ [ 100, 2 ], [ 25, 1 ], [ 20, 1 ], [ 10, 1 ] ], 1,
8457  "2^8:(Alt(5) wreath Sym(2))", [ "Z", 2, 8 ],
8458  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8459          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8460          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8461          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8462          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8463          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8464          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8465          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8466        ,
8467      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8468          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8469          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8470          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8471          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8472          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8473          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8474          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
8475         ] ] ],
8476[ 175, 1935360, 0, "1", [ [ 45, 1 ], [ 210, 1 ] ], 1, "2^8:(3 x Alt(7))",
8477  [ "Z", 2, 8 ],
8478  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8479          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8480          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8481          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8482          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8483          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8484          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8485          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ]
8486        ,
8487      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8488          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8489          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8490          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8491          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8492          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8493          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8494          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ]
8495         ] ] ],
8496[ 176, 2088960, 0, "1", [ [ 255, 1 ] ], 2, "2^8:PSL(2, 16):2", [ "Z", 2, 8 ],
8497  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8498          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8499          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8500          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8501          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8502          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
8503          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8504          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8505        ,
8506      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8507          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8508          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8509          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
8510          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8511          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8512          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8513          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
8514         ] ] ],
8515[ 177, 2088960, 0, "1", [ [ 68, 3 ], [ 51, 1 ] ], 1, "2^8:PSL(2, 16):2",
8516  [ "Z", 2, 8 ],
8517  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8518          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8519          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8520          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8521          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8522          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8523          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8524          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ]
8525        ,
8526      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8527          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8528          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8529          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8530          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8531          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8532          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8533          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
8534         ] ] ],
8535[ 178, 2764800, 0, "1", [ [ 180, 1 ], [ 75, 1 ] ], 1,
8536  "2^8:(3 x Alt(5)^2)", [ "Z", 2, 8 ],
8537  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8538          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8539          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8540          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8541          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8542          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8543          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8544          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
8545        ,
8546      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8547          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8548          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8549          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8550          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8551          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8552          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8553          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
8554         ] ] ],
8555[ 179, 3133440, 0, "1", [ [ 255, 1 ] ], 2, "2^8:(3 x PSL(2, 16))",
8556  [ "Z", 2, 8 ],
8557  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8558          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8559          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8560          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8561          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8562          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8563          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8564          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8565        ,
8566      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8567          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8568          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8569          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8570          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8571          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8572          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
8573          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
8574         ] ] ],
8575[ 180, 3133440, 0, "1", [ [ 204, 1 ], [ 51, 1 ] ], 1,
8576  "2^8:(3 x PSL(2, 16))", [ "Z", 2, 8 ],
8577  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8578          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8579          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8580          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8581          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8582          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8583          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8584          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
8585        ,
8586      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8587          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8588          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8589          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8590          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8591          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8592          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8593          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
8594         ] ] ],
8595[ 181, 3686400, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1, "2^8:Alt(5)^2:2^2",
8596  [ "Z", 2, 8 ],
8597  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8598          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8599          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8600          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8601          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8602          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8603          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8604          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
8605        ,
8606      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8607          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8608          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8609          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8610          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8611          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8612          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
8613          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
8614         ] ] ],
8615[ 182, 3686400, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1, "2^8:Alt(5)^2:2^2",
8616  [ "Z", 2, 8 ],
8617  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8618          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8619          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8620          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8621          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8622          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8623          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8624          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
8625        ,
8626      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8627          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8628          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8629          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8630          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8631          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8632          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8633          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
8634         ] ] ],
8635[ 183, 3686400, 0, "1", [ [ 60, 1 ], [ 75, 1 ], [ 120, 1 ] ], 1,
8636  "2^8:Alt(5)^2:4", [ "Z", 2, 8 ],
8637  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8638          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8639          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8640          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8641          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8642          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
8643          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8644          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
8645        ,
8646      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8647          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8648          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8649          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8650          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8651          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8652          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8653          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
8654         ] ] ],
8655[ 184, 3686400, 0, "1", [ [ 100, 2 ], [ 25, 1 ], [ 20, 1 ], [ 10, 1 ] ], 1,
8656  "2^8:Alt(5)^2:2^2", [ "Z", 2, 8 ],
8657  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8658          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8659          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8660          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8661          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8662          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8663          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8664          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
8665        ,
8666      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8667          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8668          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8669          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8670          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8671          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8672          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8673          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
8674         ] ] ],
8675[ 185, 3686400, 0, "1", [ [ 100, 2 ], [ 25, 1 ], [ 20, 1 ], [ 10, 1 ] ], 1,
8676  "2^8:Alt(5)^2:4", [ "Z", 2, 8 ],
8677  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8678          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8679          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8680          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8681          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8682          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8683          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8684          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
8685        ,
8686      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8687          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8688          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8689          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8690          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8691          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8692          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8693          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
8694         ] ] ],
8695[ 186, 3870720, 0, "1", [ [ 45, 1 ], [ 210, 1 ] ], 1,
8696  "2^8:(Sym(3) x Alt(7))", [ "Z", 2, 8 ],
8697  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8698          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8699          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8700          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8701          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8702          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8703          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8704          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
8705        ,
8706      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8707          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8708          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8709          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8710          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8711          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8712          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8713          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
8714         ] ] ],
8715[ 187, 4177920, 0, "1", [ [ 255, 1 ] ], 2, "ASigmaL(2, 16)", [ "Z", 2, 8 ],
8716  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8717          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8718          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8719          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8720          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8721          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8722          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8723          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ]
8724        ,
8725      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8726          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8727          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8728          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8729          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8730          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8731          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8732          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
8733         ] ] ],
8734[ 188, 4177920, 0, "1", [ [ 68, 1 ], [ 136, 1 ], [ 51, 1 ] ], 1,
8735  "ASigmaL(2, 16)", [ "Z", 2, 8 ],
8736  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8737          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8738          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8739          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8740          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8741          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8742          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8743          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ]
8744        ,
8745      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8746          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8747          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8748          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8749          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8750          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
8751          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8752          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
8753         ] ] ],
8754[ 189, 5222400, 0, "1", [ [ 255, 1 ] ], 2, "2^8:(5 x PSL(2, 16)",
8755  [ "Z", 2, 8 ],
8756  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8757          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8758          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8759          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8760          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8761          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8762          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8763          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8764        ,
8765      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8766          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8767          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8768          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8769          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8770          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8771          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
8772          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
8773         ] ] ],
8774[ 190, 5529600, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
8775  "2^8:(3 x (Alt(5) wreath Sym(2)))", [ "Z", 2, 8 ],
8776  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8777          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8778          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8779          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8780          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8781          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
8782          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8783          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ]
8784        ,
8785      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8786          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8787          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8788          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8789          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8790          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8791          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8792          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
8793         ] ] ],
8794[ 191, 5529600, 0, "1", [ [ 180, 1 ], [ 75, 1 ] ], 1,
8795  "2^8:(3 x Alt(5)^2):2", [ "Z", 2, 8 ],
8796  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8797          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8798          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8799          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8800          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8801          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8802          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8803          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
8804        ,
8805      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8806          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8807          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8808          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8809          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8810          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8811          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8812          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
8813         ] ] ],
8814[ 192, 5529600, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
8815  "2^8:(3 x Alt(5)^2):2", [ "Z", 2, 8 ],
8816  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8817          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8818          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8819          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8820          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8821          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8822          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8823          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ]
8824        ,
8825      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8826          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8827          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8828          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8829          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8830          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8831          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8832          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ]
8833         ] ] ],
8834[ 193, 5529600, 0, "1", [ [ 180, 1 ], [ 75, 1 ] ], 1,
8835  "2^8:(3 x (Alt(5) wreath Sym(2))", [ "Z", 2, 8 ],
8836  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8837          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8838          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8839          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8840          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8841          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8842          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
8843          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
8844        ,
8845      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8846          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8847          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8848          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8849          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8850          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8851          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8852          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
8853         ] ] ],
8854[ 194, 5529600, 0, "1", [ [ 180, 1 ], [ 75, 1 ] ], 1,
8855  "2^8:(3 x Alt(5)^2):2", [ "Z", 2, 8 ],
8856  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8857          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8858          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8859          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8860          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8861          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8862          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8863          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ]
8864        ,
8865      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8866          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8867          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8868          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8869          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8870          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8871          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8872          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
8873         ] ] ],
8874[ 195, 6266880, 0, "1", [ [ 255, 1 ] ], 2, "2^8:(3 x (PSL(2, 16):2))",
8875  [ "Z", 2, 8 ],
8876  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8877          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8878          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8879          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8880          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8881          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8882          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
8883          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
8884        ,
8885      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8886          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8887          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8888          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8889          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8890          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8891          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8892          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
8893         ] ] ],
8894[ 196, 6266880, 0, "1", [ [ 204, 1 ], [ 51, 1 ] ], 1,
8895  "2^8:(3 x PSL(2, 16):2)", [ "Z", 2, 8 ],
8896  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8897          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8898          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8899          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8900          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8901          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8902          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8903          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8904        ,
8905      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8906          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8907          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8908          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8909          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8910          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
8911          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
8912          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
8913         ] ] ],
8914[ 197, 6635520, 0, "1", [ [ 135, 1 ], [ 120, 1 ] ], 1, "2^8:SU(4, 2)",
8915  [ "Z", 2, 8 ],
8916  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8917          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8918          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8919          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8920          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8921          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
8922          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
8923          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
8924        ,
8925      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8926          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8927          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8928          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8929          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8930          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8931          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
8932          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
8933         ] ] ],
8934[ 198, 7372800, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
8935  "2^8:(Sym(5) wreath Sym(2))", [ "Z", 2, 8 ],
8936  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8937          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8938          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8939          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8940          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8941          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8942          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8943          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
8944        ,
8945      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8946          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8947          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8948          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8949          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8950          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8951          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8952          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
8953         ] ] ],
8954[ 199, 7372800, 0, "1", [ [ 100, 2 ], [ 25, 1 ], [ 20, 1 ], [ 10, 1 ] ], 1,
8955  "2^8:(Sym(5) wreath Sym(2))", [ "Z", 2, 8 ],
8956  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8957          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8958          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8959          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8960          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8961          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8962          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
8963          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
8964        ,
8965      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8966          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8967          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8968          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8969          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8970          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8971          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8972          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
8973         ] ] ],
8974[ 200, 10321920, 0, "1", [ [ 105, 1 ], [ 30, 1 ], [ 120, 1 ] ], 1,
8975  "2^8:Sym(8)", [ "Z", 2, 8 ],
8976  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8977          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8978          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8979          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8980          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
8981          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8982          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
8983          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
8984        ,
8985      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8986          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8987          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8988          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8989          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8990          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
8991          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
8992          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
8993         ] ] ],
8994[ 201, 10444800, 0, "1", [ [ 255, 1 ] ], 2, "2^8:(5 x PSL(2, 16)):2",
8995  [ "Z", 2, 8 ],
8996  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8997          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
8998          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
8999          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9000          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9001          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9002          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9003          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
9004        ,
9005      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9006          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9007          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9008          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9009          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
9010          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9011          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9012          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
9013         ] ] ],
9014[ 202, 11059200, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
9015  "2^8:(3 x (Alt(5) wreath Sym(2))):2", [ "Z", 2, 8 ],
9016  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9017          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9018          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9019          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9020          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9021          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9022          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9023          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ]
9024        ,
9025      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9026          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9027          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9028          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9029          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9030          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9031          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9032          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
9033         ] ] ],
9034[ 203, 11059200, 0, "1", [ [ 180, 1 ], [ 75, 1 ] ], 1,
9035  "2^8:(3 x (Alt(5) wreath Sym(2))):2", [ "Z", 2, 8 ],
9036  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9037          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9038          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9039          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9040          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9041          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9042          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9043          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
9044        ,
9045      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9046          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9047          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9048          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9049          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9050          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9051          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
9052          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ]
9053         ] ] ],
9054[ 204, 12533760, 0, "1", [ [ 255, 1 ] ], 2, "2^8:(3 x SL(2, 16)):4",
9055  [ "Z", 2, 8 ],
9056  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9057          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9058          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9059          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9060          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9061          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9062          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9063          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ]
9064        ,
9065      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9066          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9067          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9068          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9069          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9070          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9071          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9072          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
9073         ] ] ],
9074[ 205, 12533760, 0, "1", [ [ 204, 1 ], [ 51, 1 ] ], 1,
9075  "2^8:(3 x SL(2, 16)):4", [ "Z", 2, 8 ],
9076  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9077          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9078          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9079          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9080          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9081          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9082          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9083          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ]
9084        ,
9085      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9086          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9087          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9088          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9089          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9090          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9091          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9092          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
9093         ] ] ],
9094[ 206, 13271040, 0, "1", [ [ 135, 1 ], [ 120, 1 ] ], 1, "2^8:SU(4, 2):2",
9095  [ "Z", 2, 8 ],
9096  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9097          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9098          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9099          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9100          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9101          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9102          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9103          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
9104        ,
9105      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9106          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9107          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9108          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9109          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9110          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9111          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9112          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
9113         ] ] ],
9114[ 207, 15482880, 0, "1", [ [ 45, 1 ], [ 210, 1 ] ], 1,
9115  "2^8:(3 x Alt(8))", [ "Z", 2, 8 ],
9116  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9117          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9118          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9119          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9120          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9121          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9122          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9123          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
9124        ,
9125      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9126          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9127          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9128          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9129          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9130          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9131          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9132          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ]
9133         ] ] ],
9134[ 208, 15667200, 0, "1", [ [ 255, 1 ] ], 2, "AGL(2, 16)", [ "Z", 2, 8 ],
9135  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9136          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9137          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9138          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9139          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9140          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9141          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9142          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ]
9143        ,
9144      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9145          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9146          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9147          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9148          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9149          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9150          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
9151          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
9152         ] ] ],
9153[ 209, 16588800, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
9154  "2^8:(3 x (3 x Alt(5)^2):2)", [ "Z", 2, 8 ],
9155  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9156          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9157          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9158          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9159          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9160          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9161          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
9162          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
9163        ,
9164      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9165          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9166          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9167          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9168          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9169          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9170          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9171          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
9172         ] ] ],
9173[ 210, 19906560, 0, "1", [ [ 135, 1 ], [ 120, 1 ] ], 1, "2^8:GU(4, 2)",
9174  [ "Z", 2, 8 ],
9175  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9176          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9177          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9178          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9179          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9180          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9181          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9182          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
9183        ,
9184      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9185          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9186          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9187          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9188          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9189          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9190          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9191          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
9192         ] ] ],
9193[ 211, 20889600, 0, "1", [ [ 255, 1 ] ], 2, "2^8:(5 x PSL(2, 16)):4",
9194  [ "Z", 2, 8 ],
9195  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9196          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9197          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9198          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9199          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9200          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
9201          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9202          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
9203        ,
9204      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9205          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9206          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9207          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9208          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9209          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9210          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9211          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
9212         ] ] ],
9213[ 212, 30965760, 0, "1", [ [ 45, 1 ], [ 210, 1 ] ], 1,
9214  "2^8:(Sym(3) x Alt(8))", [ "Z", 2, 8 ],
9215  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9216          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9217          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9218          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9219          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9220          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9221          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
9222          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ]
9223        ,
9224      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9225          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9226          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9227          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9228          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9229          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9230          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9231          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ]
9232         ] ] ],
9233[ 213, 31334400, 0, "1", [ [ 255, 1 ] ], 2, "2^8:GL(2, 16):2", [ "Z", 2, 8 ],
9234  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9235          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9236          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9237          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9238          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9239          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
9240          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9241          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
9242        ,
9243      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9244          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9245          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9246          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9247          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9248          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9249          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9250          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
9251         ] ] ],
9252[ 214, 33177600, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
9253  "2^8:(GL(2, 4) wreath Sym(2)):2", [ "Z", 2, 8 ],
9254  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9255          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9256          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9257          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9258          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9259          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9260          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9261          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
9262        ,
9263      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9264          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9265          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9266          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9267          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
9268          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9269          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9270          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
9271         ] ] ],
9272[ 215, 33177600, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1, "2^8:GL(2, 4)^2:2^2",
9273  [ "Z", 2, 8 ],
9274  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9275          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9276          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9277          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9278          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9279          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9280          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9281          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ]
9282        ,
9283      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9284          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9285          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9286          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9287          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9288          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9289          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9290          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
9291         ] ] ],
9292[ 216, 39813120, 0, "1", [ [ 135, 1 ], [ 120, 1 ] ], 1, "2^8:GU(4, 2):2",
9293  [ "Z", 2, 8 ],
9294  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9295          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9296          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9297          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9298          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9299          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9300          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9301          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
9302        ,
9303      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9304          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9305          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9306          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9307          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9308          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9309          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9310          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
9311         ] ] ],
9312[ 217, 46448640, 0, "1", [ [ 135, 1 ], [ 120, 1 ] ], 1, "2^8:Alt(9)",
9313  [ "Z", 2, 8 ],
9314  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9315          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9316          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9317          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9318          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9319          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9320          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9321          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ]
9322        ,
9323      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9324          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9325          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9326          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9327          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9328          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9329          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9330          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ]
9331         ] ] ],
9332[ 218, 46448640, 0, "1", [ [ 36, 1 ], [ 126, 1 ], [ 84, 1 ], [ 9, 1 ] ], 1,
9333  "2^8:Alt(9)", [ "Z", 2, 8 ],
9334  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9335          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9336          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9337          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9338          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9339          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9340          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9341          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
9342        ,
9343      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9344          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9345          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9346          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9347          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9348          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9349          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9350          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
9351         ] ] ],
9352[ 219, 62668800, 0, "1", [ [ 255, 1 ] ], 2, "AGammaL(2, 16)", [ "Z", 2, 8 ],
9353  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9354          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9355          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9356          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9357          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9358          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9359          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9360          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
9361        ,
9362      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9363          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9364          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9365          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9366          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9367          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9368          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9369          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
9370         ] ] ],
9371[ 220, 66355200, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
9372  "2^8:(Alt(6) wreath Sym(2))", [ "Z", 2, 8 ],
9373  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9374          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9375          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9376          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9377          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9378          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9379          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9380          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
9381        ,
9382      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9383          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9384          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9385          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9386          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9387          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9388          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9389          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ]
9390         ] ] ],
9391[ 221, 66355200, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
9392  "2^8:(GammaL(2, 4) wreath Sym(2))", [ "Z", 2, 8 ],
9393  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9394          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9395          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9396          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9397          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9398          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9399          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9400          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ]
9401        ,
9402      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9403          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9404          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9405          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9406          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9407          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
9408          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9409          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
9410         ] ] ],
9411[ 222, 92897280, 0, "1", [ [ 36, 1 ], [ 126, 1 ], [ 84, 1 ], [ 9, 1 ] ], 1,
9412  "2^8:Sym(9)", [ "Z", 2, 8 ],
9413  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9414          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9415          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9416          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9417          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9418          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9419          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9420          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
9421        ,
9422      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9423          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9424          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9425          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9426          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9427          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9428          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9429          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ]
9430         ] ] ],
9431[ 223, 132710400, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1, "2^8:Alt(6)^2:4",
9432  [ "Z", 2, 8 ],
9433  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9434          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9435          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9436          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9437          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9438          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9439          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9440          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
9441        ,
9442      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9443          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9444          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9445          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9446          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9447          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9448          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9449          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
9450         ] ] ],
9451[ 224, 132710400, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1, "2^8:Alt(6)^2:2^2",
9452  [ "Z", 2, 8 ],
9453  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9454          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9455          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9456          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9457          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9458          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9459          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9460          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
9461        ,
9462      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9463          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9464          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9465          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9466          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9467          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9468          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9469          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
9470         ] ] ],
9471[ 225, 250675200, 0, "1", [ [ 255, 1 ] ], 2, "2^8:Sp(4, 4)", [ "Z", 2, 8 ],
9472  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9473          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9474          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9475          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9476          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9477          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9478          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9479          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
9480        ,
9481      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9482          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9483          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9484          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9485          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9486          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
9487          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9488          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
9489         ] ] ],
9490[ 226, 265420800, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
9491  "2^8:(Sym(6) wreath Sym(2))", [ "Z", 2, 8 ],
9492  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9493          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9494          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9495          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9496          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9497          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9498          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9499          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
9500        ,
9501      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9502          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9503          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9504          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9505          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9506          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9507          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9508          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
9509         ] ] ],
9510[ 227, 371589120, 0, "1", [ [ 135, 1 ], [ 120, 1 ] ], 1, "2^8:Sp(6, 2)",
9511  [ "Z", 2, 8 ],
9512  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9513          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9514          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9515          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9516          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9517          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9518          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
9519          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ]
9520        ,
9521      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9522          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9523          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9524          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9525          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9526          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9527          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9528          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ]
9529         ] ] ],
9530[ 228, 464486400, 0, "1", [ [ 45, 1 ], [ 210, 1 ] ], 1, "2^8:Alt(10)",
9531  [ "Z", 2, 8 ],
9532  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9533          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9534          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9535          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9536          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9537          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9538          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9539          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
9540        ,
9541      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9542          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9543          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9544          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9545          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9546          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
9547          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9548          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
9549         ] ] ],
9550[ 229, 501350400, 0, "1", [ [ 255, 1 ] ], 2, "2^8:GammaSp(4, 4)",
9551  [ "Z", 2, 8 ],
9552  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9553          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9554          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9555          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9556          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9557          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9558          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9559          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
9560        ,
9561      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9562          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9563          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9564          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9565          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
9566          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9567          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9568          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
9569         ] ] ],
9570[ 230, 752025600, 0, "1", [ [ 255, 1 ] ], 2, "2^8:(3 x Sp(4, 4))",
9571  [ "Z", 2, 8 ],
9572  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9573          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9574          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9575          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9576          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9577          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9578          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9579          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
9580        ,
9581      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9582          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9583          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9584          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9585          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9586          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9587          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9588          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
9589         ] ] ],
9590[ 231, 928972800, 0, "1", [ [ 45, 1 ], [ 210, 1 ] ], 1, "2^8:Sym(10)",
9591  [ "Z", 2, 8 ],
9592  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9593          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9594          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9595          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9596          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9597          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9598          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9599          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ]
9600        ,
9601      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9602          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9603          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9604          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9605          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9606          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9607          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9608          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ]
9609         ] ] ],
9610[ 232, 1504051200, 0, "1", [ [ 255, 1 ] ], 2, "2^8:(3 x Sp(4, 4)):2",
9611  [ "Z", 2, 8 ],
9612  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9613          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9614          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9615          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9616          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9617          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
9618          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9619          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ]
9620        ,
9621      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9622          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9623          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9624          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9625          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9626          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9627          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9628          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ]
9629         ] ] ],
9630[ 233, 3251404800, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
9631  "2^8:(Alt(7) wreath Sym(2))", [ "Z", 2, 8 ],
9632  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9633          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9634          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9635          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9636          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9637          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9638          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9639          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ]
9640        ,
9641      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9642          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9643          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9644          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9645          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9646          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9647          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9648          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
9649         ] ] ],
9650[ 234, 44590694400, 0, "1", [ [ 135, 1 ], [ 120, 1 ] ], 1, "2^8:O+(8, 2)",
9651  [ "Z", 2, 8 ],
9652  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9653          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9654          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9655          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9656          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9657          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9658          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9659          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ]
9660        ,
9661      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9662          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9663          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9664          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9665          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9666          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9667          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9668          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ]
9669         ] ] ],
9670[ 235, 50536120320, 0, "1", [ [ 136, 1 ], [ 119, 1 ] ], 1, "2^8:O-(8, 2)",
9671  [ "Z", 2, 8 ],
9672  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9673          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9674          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9675          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9676          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9677          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9678          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ],
9679          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ]
9680        ,
9681      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9682          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9683          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9684          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9685          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9686          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9687          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9688          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
9689         ] ] ],
9690[ 236, 89181388800, 0, "1", [ [ 135, 1 ], [ 120, 1 ] ], 1, "2^8:SO+(8, 2)",
9691  [ "Z", 2, 8 ],
9692  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9693          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9694          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9695          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9696          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9697          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9698          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9699          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ]
9700        ,
9701      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9702          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9703          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9704          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9705          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9706          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9707          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9708          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
9709         ] ] ],
9710[ 237, 101072240640, 0, "1", [ [ 136, 1 ], [ 119, 1 ] ], 1, "2^8:SO-(8, 2)",
9711  [ "Z", 2, 8 ],
9712  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9713          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9714          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9715          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9716          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9717          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9718          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9719          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ]
9720        ,
9721      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9722          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9723          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9724          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9725          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9726          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
9727          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9728          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
9729         ] ] ],
9730[ 238, 208089907200, 0, "1", [ [ 225, 1 ], [ 30, 1 ] ], 1,
9731  "2^8:(GL(4, 2) wreath Sym(2))", [ "Z", 2, 8 ],
9732  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9733          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9734          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9735          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9736          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9737          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9738          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9739          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ]
9740        ,
9741      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9742          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9743          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9744          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9745          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9746          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9747          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9748          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ]
9749         ] ] ],
9750[ 239, 252680601600, 0, "1", [ [ 255, 1 ] ], 2, "ASL(4, 4)", [ "Z", 2, 8 ],
9751  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9752          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9753          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9754          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9755          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9756          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9757          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9758          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
9759        ,
9760      [ [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9761          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9762          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9763          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9764          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ],
9765          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9766          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9767          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
9768         ] ] ],
9769[ 240, 505361203200, 0, "1", [ [ 255, 1 ] ], 2, "ASigmaL(4, 4)",
9770  [ "Z", 2, 8 ],
9771  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9772          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9773          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9774          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9775          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9776          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9777          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9778          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ]
9779        ,
9780      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9781          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9782          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9783          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9784          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9785          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ],
9786          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ],
9787          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ]
9788         ] ] ],
9789[ 241, 758041804800, 0, "1", [ [ 255, 1 ] ], 2, "AGL(4, 4)", [ "Z", 2, 8 ],
9790  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9791          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9792          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9793          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9794          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9795          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9796          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9797          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ]
9798        ,
9799      [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9800          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9801          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9802          [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ],
9803          [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9804          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9805          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9806          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
9807         ] ] ],
9808[ 242, 1516083609600, 0, "1", [ [ 255, 1 ] ], 2, "AGammaL(4, 4)",
9809  [ "Z", 2, 8 ],
9810  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9811          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9812          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9813          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9814          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ],
9815          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9816          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9817          [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ]
9818        ,
9819      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9820          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9821          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9822          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9823          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9824          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9825          [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9826          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ]
9827         ] ] ],
9828[ 243, 12128668876800, 0, "1", [ [ 255, 1 ] ], 2, "2^8:Sp(8, 2)",
9829  [ "Z", 2, 8 ],
9830  [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9831          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9832          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9833          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9834          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9835          [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9836          [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9837          [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ]
9838        ,
9839      [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9840          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9841          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9842          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9843          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9844          [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9845          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ],
9846          [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ]
9847         ] ] ],
9848[ 244, 1369104324918194995200, 0, "1", [ [ 255, 1 ] ], 3, "AGL(8, 2)",
9849  [ "Z", 2, 8 ],
9850  [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9851          [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9852          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ],
9853          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ],
9854          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ],
9855          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ],
9856          [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ],
9857          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ]
9858        ,
9859      [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9860          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
9861          [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ],
9862          [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9863          [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9864          [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ],
9865          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ],
9866          [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ]
9867         ] ] ]];
9868PRIMGRP[257]:=
9869[[ 1, 16776960, 1, "2", [ [ 256, 1 ] ], 3, "L(2, 2^8)", [ "L", [ 2, 256 ], 1 ],
9870  [ (  3,173,239, 20,115,215, 79,110,136,103,222, 80,  9,249, 11,251,180, 38,
9871         157,124,150,181, 45,145,240, 21, 87,257,118,254,126, 64,127,104, 61,
9872         241,161, 13,221,164,178, 63,216,187,190,250,231,209,246,149, 15,172,
9873         141,225,236,242, 93,226,107, 16, 43, 27,243,125,105,176,100, 54, 89,
9874          50,182,177,152,229, 94,238,106,  5, 37, 47, 67,208,116,174, 71, 76,
9875         219,113, 49,131,143,202, 32, 33,163, 69,138, 57, 90, 42,123, 25, 92,
9876           7,256,186,207,112, 68, 40,188,205, 75,248, 48, 66,140,128,230, 28,
9877          56,224, 46,114,175,139, 81,195,165, 60,234, 23,109,159,183,162,169,
9878          59,102,198,252,130,  8, 62,158,201, 91, 98, 77,101,151,237, 26,200,
9879          95, 65,179,121, 85,146,214, 36,204,232, 30,132,120,194,212, 12,185,
9880          55, 72,220,192,148, 53, 74,  4,253,168,235,137,218,170,203,122,191,
9881          97,227,228, 58,117,129,211,147, 41,184,189, 86,144, 52,193,213,223,
9882         255,154, 22,166, 31,108, 83, 78,210,171,206,160, 84,155,135, 17,233,
9883         217,244,153, 34,167, 18, 24, 35,119, 88,245,111, 14, 51, 29, 10, 70,
9884          73, 44,197, 82, 96, 39,247, 99, 19,199,156,133,196,134,  6,142),
9885      (  1, 59,  2)(  3,218, 24)(  4,  6, 51)(  5, 11,176)(  7,157,241)
9886        (  8,251,142)(  9,106, 89)( 10, 63,159)( 12,252, 92)( 13,130,111)
9887        ( 14,119,193)( 15,149,226)( 16,163, 20)( 17,205, 67)( 18, 40,238)
9888        ( 19,200, 80)( 21,158, 82)( 22, 23,229)( 25,112,213)( 26, 65,256)
9889        ( 27,133,123)( 28, 46,185)( 29,172,175)( 30,171,104)( 31,215,184)
9890        ( 32,212,237)( 33, 57,233)( 34,153, 84)( 35,105,230)( 36, 75,102)
9891        ( 37,135, 48)( 38, 91,199)( 39, 49, 47)( 41,214,242)( 42,100, 99)
9892        ( 43,188,197)( 44, 68,125)( 45,139,103)( 50, 95, 97)( 52, 62, 54)
9893        ( 53,223, 64)( 55, 73,173)( 56,255,219)( 58,161,170)( 60,116,144)
9894        ( 61, 83,120)( 66,128,253)( 69,121,146)( 70,174,143)( 71,254,187)
9895        ( 72,183,186)( 74,235,225)( 76,145,246)( 77,140, 98)( 78, 79,129)
9896        ( 81,195, 85)( 86,132,209)( 87,165,239)( 88,247,228)( 90, 96,182)
9897        ( 93,216,107)( 94,117,201)(101,134,222)(108,250,179)(109,150,115)
9898        (110,154,189)(113,198,203)(114,207,137)(118,166,148)(122,126,147)
9899        (124,231,202)(127,234,156)(131,162,191)(136,224,257)(138,164,181)
9900        (151,244,221)(152,190,178)(155,160,245)(167,196,227)(168,206,180)
9901        (169,204,248)(177,194,220)(192,240,210)(208,249,243)(211,232,236) ] ],
9902[ 2, 33553920, 0, "2", [ [ 256, 1 ] ], 3, "L(2, 2^8):2",
9903  [ "L", [ 2, 256 ], 1 ],
9904  [ (  3,173,239, 20,115,215, 79,110,136,103,222, 80,  9,249, 11,251,180, 38,
9905         157,124,150,181, 45,145,240, 21, 87,257,118,254,126, 64,127,104, 61,
9906         241,161, 13,221,164,178, 63,216,187,190,250,231,209,246,149, 15,172,
9907         141,225,236,242, 93,226,107, 16, 43, 27,243,125,105,176,100, 54, 89,
9908          50,182,177,152,229, 94,238,106,  5, 37, 47, 67,208,116,174, 71, 76,
9909         219,113, 49,131,143,202, 32, 33,163, 69,138, 57, 90, 42,123, 25, 92,
9910           7,256,186,207,112, 68, 40,188,205, 75,248, 48, 66,140,128,230, 28,
9911          56,224, 46,114,175,139, 81,195,165, 60,234, 23,109,159,183,162,169,
9912          59,102,198,252,130,  8, 62,158,201, 91, 98, 77,101,151,237, 26,200,
9913          95, 65,179,121, 85,146,214, 36,204,232, 30,132,120,194,212, 12,185,
9914          55, 72,220,192,148, 53, 74,  4,253,168,235,137,218,170,203,122,191,
9915          97,227,228, 58,117,129,211,147, 41,184,189, 86,144, 52,193,213,223,
9916         255,154, 22,166, 31,108, 83, 78,210,171,206,160, 84,155,135, 17,233,
9917         217,244,153, 34,167, 18, 24, 35,119, 88,245,111, 14, 51, 29, 10, 70,
9918          73, 44,197, 82, 96, 39,247, 99, 19,199,156,133,196,134,  6,142),
9919      (  1, 59,  2)(  3,218, 24)(  4,  6, 51)(  5, 11,176)(  7,157,241)
9920        (  8,251,142)(  9,106, 89)( 10, 63,159)( 12,252, 92)( 13,130,111)
9921        ( 14,119,193)( 15,149,226)( 16,163, 20)( 17,205, 67)( 18, 40,238)
9922        ( 19,200, 80)( 21,158, 82)( 22, 23,229)( 25,112,213)( 26, 65,256)
9923        ( 27,133,123)( 28, 46,185)( 29,172,175)( 30,171,104)( 31,215,184)
9924        ( 32,212,237)( 33, 57,233)( 34,153, 84)( 35,105,230)( 36, 75,102)
9925        ( 37,135, 48)( 38, 91,199)( 39, 49, 47)( 41,214,242)( 42,100, 99)
9926        ( 43,188,197)( 44, 68,125)( 45,139,103)( 50, 95, 97)( 52, 62, 54)
9927        ( 53,223, 64)( 55, 73,173)( 56,255,219)( 58,161,170)( 60,116,144)
9928        ( 61, 83,120)( 66,128,253)( 69,121,146)( 70,174,143)( 71,254,187)
9929        ( 72,183,186)( 74,235,225)( 76,145,246)( 77,140, 98)( 78, 79,129)
9930        ( 81,195, 85)( 86,132,209)( 87,165,239)( 88,247,228)( 90, 96,182)
9931        ( 93,216,107)( 94,117,201)(101,134,222)(108,250,179)(109,150,115)
9932        (110,154,189)(113,198,203)(114,207,137)(118,166,148)(122,126,147)
9933        (124,231,202)(127,234,156)(131,162,191)(136,224,257)(138,164,181)
9934        (151,244,221)(152,190,178)(155,160,245)(167,196,227)(168,206,180)
9935        (169,204,248)(177,194,220)(192,240,210)(208,249,243)(211,232,236),
9936      (  3, 44)(  4,118)(  5,184)(  6,166)(  8, 84)(  9, 74)( 10, 22)( 11, 31)
9937        ( 12,198)( 13, 54)( 14,146)( 15,150)( 16, 30)( 17,228)( 18,209)
9938        ( 19, 75)( 20,104)( 21,234)( 23, 63)( 24,125)( 25,177)( 26, 46)
9939        ( 27, 41)( 28,256)( 29, 58)( 32,137)( 33,189)( 34,251)( 35, 47)
9940        ( 36, 80)( 37,210)( 38,239)( 39,105)( 40, 86)( 42,164)( 43,168)
9941        ( 45,116)( 48,240)( 49,230)( 51,148)( 52,130)( 53,196)( 57,110)
9942        ( 60,103)( 61,124)( 62,111)( 64,167)( 65,185)( 66,178)( 67,247)
9943        ( 68,218)( 69,119)( 70,244)( 71,236)( 72,191)( 76,182)( 77,107)
9944        ( 78,243)( 79,208)( 81,160)( 82,127)( 83,231)( 85,155)( 87, 91)
9945        ( 88,205)( 89,225)( 90,145)( 92,113)( 93,140)( 94,101)( 96,246)
9946        ( 98,216)( 99,138)(100,181)(102,200)(106,235)(108,126)(109,226)
9947        (112,194)(114,212)(115,149)(117,134)(120,202)(121,193)(122,179)
9948        (123,242)(128,152)(129,249)(131,183)(132,238)(133,214)(135,192)
9949        (136,248)(139,144)(142,153)(143,151)(147,250)(154,233)(156,158)
9950        (159,229)(161,172)(162,186)(163,171)(165,199)(169,224)(170,175)
9951        (174,221)(176,215)(180,197)(187,232)(188,206)(190,253)(195,245)
9952        (201,222)(203,252)(204,257)(207,237)(211,254)(213,220)(223,227) ] ],
9953[ 3, 67107840, 0, "2", [ [ 256, 1 ] ], 3, "L(2, 2^8):4",
9954  [ "L", [ 2, 256 ], 1 ],
9955  [ (  3,173,239, 20,115,215, 79,110,136,103,222, 80,  9,249, 11,251,180, 38,
9956         157,124,150,181, 45,145,240, 21, 87,257,118,254,126, 64,127,104, 61,
9957         241,161, 13,221,164,178, 63,216,187,190,250,231,209,246,149, 15,172,
9958         141,225,236,242, 93,226,107, 16, 43, 27,243,125,105,176,100, 54, 89,
9959          50,182,177,152,229, 94,238,106,  5, 37, 47, 67,208,116,174, 71, 76,
9960         219,113, 49,131,143,202, 32, 33,163, 69,138, 57, 90, 42,123, 25, 92,
9961           7,256,186,207,112, 68, 40,188,205, 75,248, 48, 66,140,128,230, 28,
9962          56,224, 46,114,175,139, 81,195,165, 60,234, 23,109,159,183,162,169,
9963          59,102,198,252,130,  8, 62,158,201, 91, 98, 77,101,151,237, 26,200,
9964          95, 65,179,121, 85,146,214, 36,204,232, 30,132,120,194,212, 12,185,
9965          55, 72,220,192,148, 53, 74,  4,253,168,235,137,218,170,203,122,191,
9966          97,227,228, 58,117,129,211,147, 41,184,189, 86,144, 52,193,213,223,
9967         255,154, 22,166, 31,108, 83, 78,210,171,206,160, 84,155,135, 17,233,
9968         217,244,153, 34,167, 18, 24, 35,119, 88,245,111, 14, 51, 29, 10, 70,
9969          73, 44,197, 82, 96, 39,247, 99, 19,199,156,133,196,134,  6,142),
9970      (  1, 59,  2)(  3,218, 24)(  4,  6, 51)(  5, 11,176)(  7,157,241)
9971        (  8,251,142)(  9,106, 89)( 10, 63,159)( 12,252, 92)( 13,130,111)
9972        ( 14,119,193)( 15,149,226)( 16,163, 20)( 17,205, 67)( 18, 40,238)
9973        ( 19,200, 80)( 21,158, 82)( 22, 23,229)( 25,112,213)( 26, 65,256)
9974        ( 27,133,123)( 28, 46,185)( 29,172,175)( 30,171,104)( 31,215,184)
9975        ( 32,212,237)( 33, 57,233)( 34,153, 84)( 35,105,230)( 36, 75,102)
9976        ( 37,135, 48)( 38, 91,199)( 39, 49, 47)( 41,214,242)( 42,100, 99)
9977        ( 43,188,197)( 44, 68,125)( 45,139,103)( 50, 95, 97)( 52, 62, 54)
9978        ( 53,223, 64)( 55, 73,173)( 56,255,219)( 58,161,170)( 60,116,144)
9979        ( 61, 83,120)( 66,128,253)( 69,121,146)( 70,174,143)( 71,254,187)
9980        ( 72,183,186)( 74,235,225)( 76,145,246)( 77,140, 98)( 78, 79,129)
9981        ( 81,195, 85)( 86,132,209)( 87,165,239)( 88,247,228)( 90, 96,182)
9982        ( 93,216,107)( 94,117,201)(101,134,222)(108,250,179)(109,150,115)
9983        (110,154,189)(113,198,203)(114,207,137)(118,166,148)(122,126,147)
9984        (124,231,202)(127,234,156)(131,162,191)(136,224,257)(138,164,181)
9985        (151,244,221)(152,190,178)(155,160,245)(167,196,227)(168,206,180)
9986        (169,204,248)(177,194,220)(192,240,210)(208,249,243)(211,232,236),
9987      (  3, 42, 44,164)(  4,231,118, 83)(  5, 26,184, 46)(  6,202,166,120)
9988        (  7,173)(  8,121, 84,193)(  9, 98, 74,216)( 10,257, 22,204)
9989        ( 11, 65, 31,185)( 12,222,198,201)( 13, 19, 54, 75)( 14,251,146, 34)
9990        ( 15,190,150,253)( 16, 67, 30,247)( 17,171,228,163)( 18, 82,209,127)
9991        ( 20,205,104, 88)( 21, 86,234, 40)( 23,248, 63,136)( 24, 99,125,138)
9992        ( 25,199,177,165)( 27, 49, 41,230)( 28,176,256,215)( 29,145, 58, 90)
9993        ( 32, 78,137,243)( 33,160,189, 81)( 35,133, 47,214)( 36,111, 80, 62)
9994        ( 37,179,210,122)( 38,194,239,112)( 39,242,105,123)( 43, 71,168,236)
9995        ( 45,191,116, 72)( 48,250,240,147)( 50, 56)( 51,124,148, 61)
9996        ( 52,102,130,200)( 53,221,196,174)( 55,157)( 57,245,110,195)
9997        ( 60,186,103,162)( 64,244,167, 70)( 66,149,178,115)( 68,181,218,100)
9998        ( 69,153,119,142)( 73,241)( 76,170,182,175)( 77,235,107,106)
9999        ( 79,114,208,212)( 85,233,155,154)( 87,213, 91,220)( 89,140,225, 93)
10000        ( 92,134,113,117)( 94,252,101,203)( 95,255)( 96,172,246,161)( 97,219)
10001        (108,192,126,135)(109,128,226,152)(129,207,249,237)(131,144,183,139)
10002        (132,156,238,158)(143,223,151,227)(159,224,229,169)(180,232,197,187)
10003        (188,254,206,211) ] ],
10004[ 4, 134215680, 0, "2", [ [ 256, 1 ] ], 3, "L(2, 2^8):8 = PGammaL(2, 2^8)",
10005  [ "L", [ 2, 256 ], 1 ],
10006  [ (  3,173,239, 20,115,215, 79,110,136,103,222, 80,  9,249, 11,251,180, 38,
10007         157,124,150,181, 45,145,240, 21, 87,257,118,254,126, 64,127,104, 61,
10008         241,161, 13,221,164,178, 63,216,187,190,250,231,209,246,149, 15,172,
10009         141,225,236,242, 93,226,107, 16, 43, 27,243,125,105,176,100, 54, 89,
10010          50,182,177,152,229, 94,238,106,  5, 37, 47, 67,208,116,174, 71, 76,
10011         219,113, 49,131,143,202, 32, 33,163, 69,138, 57, 90, 42,123, 25, 92,
10012           7,256,186,207,112, 68, 40,188,205, 75,248, 48, 66,140,128,230, 28,
10013          56,224, 46,114,175,139, 81,195,165, 60,234, 23,109,159,183,162,169,
10014          59,102,198,252,130,  8, 62,158,201, 91, 98, 77,101,151,237, 26,200,
10015          95, 65,179,121, 85,146,214, 36,204,232, 30,132,120,194,212, 12,185,
10016          55, 72,220,192,148, 53, 74,  4,253,168,235,137,218,170,203,122,191,
10017          97,227,228, 58,117,129,211,147, 41,184,189, 86,144, 52,193,213,223,
10018         255,154, 22,166, 31,108, 83, 78,210,171,206,160, 84,155,135, 17,233,
10019         217,244,153, 34,167, 18, 24, 35,119, 88,245,111, 14, 51, 29, 10, 70,
10020          73, 44,197, 82, 96, 39,247, 99, 19,199,156,133,196,134,  6,142),
10021      (  1, 59,  2)(  3,218, 24)(  4,  6, 51)(  5, 11,176)(  7,157,241)
10022        (  8,251,142)(  9,106, 89)( 10, 63,159)( 12,252, 92)( 13,130,111)
10023        ( 14,119,193)( 15,149,226)( 16,163, 20)( 17,205, 67)( 18, 40,238)
10024        ( 19,200, 80)( 21,158, 82)( 22, 23,229)( 25,112,213)( 26, 65,256)
10025        ( 27,133,123)( 28, 46,185)( 29,172,175)( 30,171,104)( 31,215,184)
10026        ( 32,212,237)( 33, 57,233)( 34,153, 84)( 35,105,230)( 36, 75,102)
10027        ( 37,135, 48)( 38, 91,199)( 39, 49, 47)( 41,214,242)( 42,100, 99)
10028        ( 43,188,197)( 44, 68,125)( 45,139,103)( 50, 95, 97)( 52, 62, 54)
10029        ( 53,223, 64)( 55, 73,173)( 56,255,219)( 58,161,170)( 60,116,144)
10030        ( 61, 83,120)( 66,128,253)( 69,121,146)( 70,174,143)( 71,254,187)
10031        ( 72,183,186)( 74,235,225)( 76,145,246)( 77,140, 98)( 78, 79,129)
10032        ( 81,195, 85)( 86,132,209)( 87,165,239)( 88,247,228)( 90, 96,182)
10033        ( 93,216,107)( 94,117,201)(101,134,222)(108,250,179)(109,150,115)
10034        (110,154,189)(113,198,203)(114,207,137)(118,166,148)(122,126,147)
10035        (124,231,202)(127,234,156)(131,162,191)(136,224,257)(138,164,181)
10036        (151,244,221)(152,190,178)(155,160,245)(167,196,227)(168,206,180)
10037        (169,204,248)(177,194,220)(192,240,210)(208,249,243)(211,232,236),
10038      (  3,230, 42, 27, 44, 49,164, 41)(  4,135,231,108,118,192, 83,126)
10039        (  5, 38, 26,194,184,239, 46,112)(  6, 48,202,250,166,240,120,147)
10040        (  7, 50,173, 56)(  8, 98,121, 74, 84,216,193,  9)( 10,116,257, 72,
10041          22, 45,204,191)( 11, 91, 65,220, 31, 87,185,213)( 12, 52,222,102,
10042         198,130,201,200)( 13,117, 19, 92, 54,134, 75,113)( 14,106,251, 77,
10043         146,235, 34,107)( 15,155,190,154,150, 85,253,233)( 16, 29, 67,145,
10044          30, 58,247, 90)( 17,246,171,161,228, 96,163,172)( 18,243, 82, 32,
10045         209, 78,127,137)( 20,175,205, 76,104,170, 88,182)( 21,212, 86, 79,
10046         234,114, 40,208)( 23,139,248,131, 63,144,136,183)( 24,105, 99,123,
10047         125, 39,138,242)( 25,176,199,256,177,215,165, 28)( 33,149,160,178,
10048         189,115, 81, 66)( 35,100,133, 68, 47,181,214,218)( 36,203,111, 94,
10049          80,252, 62,101)( 37,124,179,148,210, 61,122, 51)( 43, 70, 71, 64,
10050         168,244,236,167)( 53,206,221,211,196,188,174,254)( 55,255,157, 95)
10051        ( 57,226,245,152,110,109,195,128)( 60,224,186,229,103,169,162,159)
10052        ( 69,225,153, 93,119, 89,142,140)( 73,219,241, 97)(129,156,207,238,
10053         249,158,237,132)(141,217)(143,187,223,180,151,232,227,197) ] ],
10054[5, Factorial(257)/2,1,"2",[[256,1]],255, "Alt(257)", ["A",257, 1], "Alt"],
10055[6, Factorial(257),0,"2",[[256, 1]],257, "Sym(257)", ["A",257, 1], "Sym"],
10056[ 7, 257, 3, "1", [ [ 1, 256 ] ], 1, "C(257)", [ "Z", 257, 1 ], [  ] ],
10057[ 8, 514, 2, "1", [ [ 2, 128 ] ], 1, "D(2*257)", [ "Z", 257, 1 ],
10058  [ [ [ Z(257)^128 ] ] ] ],
10059[ 9, 1028, 2, "1", [ [ 4, 64 ] ], 1, "257:4", [ "Z", 257, 1 ],
10060  [ [ [ Z(257)^64 ] ] ] ],
10061[ 10, 2056, 2, "1", [ [ 8, 32 ] ], 1, "257:8", [ "Z", 257, 1 ],
10062  [ [ [ Z(257)^32 ] ] ] ],
10063[ 11, 4112, 2, "1", [ [ 16, 16 ] ], 1, "257:16", [ "Z", 257, 1 ],
10064  [ [ [ Z(257)^16 ] ] ] ],
10065[ 12, 8224, 2, "1", [ [ 32, 8 ] ], 1, "257:32", [ "Z", 257, 1 ],
10066  [ [ [ Z(257)^8 ] ] ] ],
10067[ 13, 16448, 2, "1", [ [ 64, 4 ] ], 1, "257:64", [ "Z", 257, 1 ],
10068  [ [ [ Z(257)^4 ] ] ] ],
10069[ 14, 32896, 2, "1", [ [ 128, 2 ] ], 1, "257:128", [ "Z", 257, 1 ],
10070  [ [ [ Z(257)^2 ] ] ] ],
10071[ 15, 65792, 2, "1", [ [ 256, 1 ] ], 2, "AGL(1, 257)", [ "Z", 257, 1 ],
10072  [ [ [ Z(257) ] ] ] ]];
10073PRIMGRP[258]:=
10074[[ 1, 8487168, 1, "2", [ [ 257, 1 ] ], 2, "PSL(2, 257)",
10075  [ "L", [ 2, 257 ], 1 ], "psl" ],
10076[ 2, 16974336, 0, "2", [ [ 257, 1 ] ], 3, "PGL(2, 257)",
10077  [ "L", [ 2, 257 ], 1 ], "pgl" ],
10078[3, Factorial(258)/2,1,"2",[[257,1]],256, "Alt(258)", ["A",258, 1], "Alt"],
10079[4, Factorial(258),0,"2",[[257, 1]],258, "Sym(258)", ["A",258, 1], "Sym"]];
10080PRIMGRP[259]:=
10081[[1, Factorial(259)/2,1,"2",[[258,1]],257, "Alt(259)", ["A",259, 1], "Alt"],
10082[2, Factorial(259),0,"2",[[258, 1]],259, "Sym(259)", ["A",259, 1], "Sym"]];
10083PRIMGRP[260]:=
10084[[1, Factorial(260)/2,1,"2",[[259,1]],258, "Alt(260)", ["A",260, 1], "Alt"],
10085[2, Factorial(260),0,"2",[[259, 1]],260, "Sym(260)", ["A",260, 1], "Sym"]];
10086PRIMGRP[261]:=
10087[[1, Factorial(261)/2,1,"2",[[260,1]],259, "Alt(261)", ["A",261, 1], "Alt"],
10088[2, Factorial(261),0,"2",[[260, 1]],261, "Sym(261)", ["A",261, 1], "Sym"]];
10089PRIMGRP[262]:=
10090[[1, Factorial(262)/2,1,"2",[[261,1]],260, "Alt(262)", ["A",262, 1], "Alt"],
10091[2, Factorial(262),0,"2",[[261, 1]],262, "Sym(262)", ["A",262, 1], "Sym"]];
10092PRIMGRP[263]:=
10093[[1, Factorial(263)/2,1,"2",[[262,1]],261, "Alt(263)", ["A",263, 1], "Alt"],
10094[2, Factorial(263),0,"2",[[262, 1]],263, "Sym(263)", ["A",263, 1], "Sym"],
10095[ 3, 263, 3, "1", [ [ 1, 262 ] ], 1, "C(263)", [ "Z", 263, 1 ], [  ] ],
10096[ 4, 526, 2, "1", [ [ 2, 131 ] ], 1, "D(2*263)", [ "Z", 263, 1 ],
10097  [ [ [ Z(263)^131 ] ] ] ],
10098[ 5, 34453, 2, "1", [ [ 131, 2 ] ], 1, "263:131", [ "Z", 263, 1 ],
10099  [ [ [ Z(263)^2 ] ] ] ],
10100[ 6, 68906, 2, "1", [ [ 262, 1 ] ], 2, "AGL(1, 263)", [ "Z", 263, 1 ],
10101  [ [ [ Z(263) ] ] ] ]];
10102PRIMGRP[264]:=
10103[[ 1, 9095592, 1, "2", [ [ 263, 1 ] ], 2, "PSL(2, 263)",
10104  [ "L", [ 2, 263 ], 1 ], "psl" ],
10105[ 2, 18191184, 0, "2", [ [ 263, 1 ] ], 3, "PGL(2, 263)",
10106  [ "L", [ 2, 263 ], 1 ], "pgl" ],
10107[3, Factorial(264)/2,1,"2",[[263,1]],262, "Alt(264)", ["A",264, 1], "Alt"],
10108[4, Factorial(264),0,"2",[[263, 1]],264, "Sym(264)", ["A",264, 1], "Sym"]];
10109PRIMGRP[265]:=
10110[[1, Factorial(265)/2,1,"2",[[264,1]],263, "Alt(265)", ["A",265, 1], "Alt"],
10111[2, Factorial(265),0,"2",[[264, 1]],265, "Sym(265)", ["A",265, 1], "Sym"]];
10112PRIMGRP[266]:=
10113[[ 1, 175560, 1, "2", [ [ 11, 1 ], [ 110, 1 ], [ 132, 1 ], [ 12, 1 ] ], 1,
10114  "J_1", [ "Spor", "J(1)", 1 ],
10115  [ (  1, 17)(  2, 67)(  3,135)(  4, 83)(  5,115)(  6,  8)(  7,210)(  9,114)
10116        ( 10,214)( 11,149)( 12, 59)( 13, 53)( 14,119)( 15,179)( 16,139)
10117        ( 18,169)( 19, 50)( 20,232)( 21,109)( 22,128)( 23,202)( 24, 82)
10118        ( 25, 56)( 26,134)( 27,196)( 28,234)( 29,133)( 30,102)( 31,256)
10119        ( 32,204)( 33,123)( 34,148)( 35,248)( 36,164)( 37,185)( 38,137)
10120        ( 39,177)( 40,165)( 41,230)( 42,113)( 44, 93)( 45,127)( 46,198)
10121        ( 47,180)( 48,197)( 49,239)( 51,112)( 52,265)( 54, 88)( 55, 66)
10122        ( 57,263)( 58, 62)( 60, 89)( 61,238)( 63,258)( 64, 97)( 65,219)
10123        ( 68,186)( 69,120)( 70,124)( 71,242)( 72,211)( 73,246)( 74,175)
10124        ( 75, 92)( 76,192)( 77,153)( 78,215)( 79,162)( 80,183)( 81,244)
10125        ( 84, 85)( 86,132)( 87,264)( 90,152)( 91,103)( 94,220)( 95,201)
10126        ( 96,108)( 98,171)( 99,228)(100,178)(101,187)(104,253)(105,141)
10127        (106,147)(107,174)(110,247)(111,184)(116,146)(117,154)(118,158)
10128        (121,226)(122,157)(125,161)(126,212)(129,155)(130,159)(131,249)
10129        (136,235)(138,218)(140,205)(142,176)(143,227)(145,189)(156,181)
10130        (160,236)(163,172)(166,217)(167,251)(170,190)(173,237)(182,262)
10131        (188,209)(191,243)(193,259)(194,240)(195,224)(199,229)(200,208)
10132        (203,255)(213,225)(216,252)(221,257)(223,254)(231,260)(233,245)
10133        (250,261), (  1,154,190)(  2, 78,249)(  3,139,165)(  4,265,119)
10134        (  5,201,258)(  6,187,237)(  7, 99,124)(  8,246,240)(  9, 96,180)
10135        ( 10, 75, 36)( 11,141, 16)( 12,174,215)( 13,164, 58)( 14,242,191)
10136        ( 15,140, 26)( 17, 37,118)( 18, 59,170)( 19, 65,189)( 20,162,172)
10137        ( 22,223,104)( 23,117, 45)( 24, 62,256)( 25,152,232)( 27, 72,128)
10138        ( 28, 54,196)( 29, 40,126)( 30,238,255)( 31, 87,251)( 32,142,106)
10139        ( 33,202,261)( 34,193,205)( 35,171,183)( 38, 57,254)( 39, 70,143)
10140        ( 41,123, 55)( 42,145,110)( 43, 64,134)( 44,195,231)( 46, 56,248)
10141        ( 47, 51,184)( 48, 66, 79)( 49, 50,207)( 52,100, 83)( 53,158,121)
10142        ( 60,211, 88)( 61,113,132)( 63, 98,218)( 67,136, 81)( 68,227,213)
10143        ( 69,192,138)( 71,175, 93)( 73,122,160)( 74,137,148)( 76,263,125)
10144        ( 77,108,101)( 80,264, 97)( 82,178,163)( 84,103,167)( 85,262,252)
10145        ( 86,216,166)( 89,243,244)( 91,241,120)( 92,235,214)( 94,206,102)
10146        ( 95,144,173)(105,159,157)(107,188,197)(109,156,199)(111,135,253)
10147        (112,245,150)(114,247,220)(115,198,194)(116,239,177)(130,230,260)
10148        (131,161,200)(133,146,176)(147,204,168)(149,222,181)(151,236,212)
10149        (153,225,233)(155,217,226)(169,210,219)(179,182,203)(185,209,224)
10150        (186,257,234)(208,221,259)(228,229,266) ] ],
10151[2, Factorial(266)/2,1,"2",[[265,1]],264, "Alt(266)", ["A",266, 1], "Alt"],
10152[3, Factorial(266),0,"2",[[265, 1]],266, "Sym(266)", ["A",266, 1], "Sym"]];
10153PRIMGRP[267]:=
10154[[1, Factorial(267)/2,1,"2",[[266,1]],265, "Alt(267)", ["A",267, 1], "Alt"],
10155[2, Factorial(267),0,"2",[[266, 1]],267, "Sym(267)", ["A",267, 1], "Sym"]];
10156PRIMGRP[268]:=
10157[[1, Factorial(268)/2,1,"2",[[267,1]],266, "Alt(268)", ["A",268, 1], "Alt"],
10158[2, Factorial(268),0,"2",[[267, 1]],268, "Sym(268)", ["A",268, 1], "Sym"]];
10159PRIMGRP[269]:=
10160[[1, Factorial(269)/2,1,"2",[[268,1]],267, "Alt(269)", ["A",269, 1], "Alt"],
10161[2, Factorial(269),0,"2",[[268, 1]],269, "Sym(269)", ["A",269, 1], "Sym"],
10162[ 3, 269, 3, "1", [ [ 1, 268 ] ], 1, "C(269)", [ "Z", 269, 1 ], [  ] ],
10163[ 4, 538, 2, "1", [ [ 2, 134 ] ], 1, "D(2*269)", [ "Z", 269, 1 ],
10164  [ [ [ Z(269)^134 ] ] ] ],
10165[ 5, 1076, 2, "1", [ [ 4, 67 ] ], 1, "269:4", [ "Z", 269, 1 ],
10166  [ [ [ Z(269)^67 ] ] ] ],
10167[ 6, 18023, 2, "1", [ [ 67, 4 ] ], 1, "269:67", [ "Z", 269, 1 ],
10168  [ [ [ Z(269)^4 ] ] ] ],
10169[ 7, 36046, 2, "1", [ [ 134, 2 ] ], 1, "269:134", [ "Z", 269, 1 ],
10170  [ [ [ Z(269)^2 ] ] ] ],
10171[ 8, 72092, 2, "1", [ [ 268, 1 ] ], 2, "AGL(1, 269)", [ "Z", 269, 1 ],
10172  [ [ [ Z(269) ] ] ] ]];
10173PRIMGRP[270]:=
10174[[ 1, 9732420, 1, "2", [ [ 269, 1 ] ], 2, "PSL(2, 269)",
10175  [ "L", [ 2, 269 ], 1 ], "psl" ],
10176[ 2, 19464840, 0, "2", [ [ 269, 1 ] ], 3, "PGL(2, 269)",
10177  [ "L", [ 2, 269 ], 1 ], "pgl" ],
10178[3, Factorial(270)/2,1,"2",[[269,1]],268, "Alt(270)", ["A",270, 1], "Alt"],
10179[4, Factorial(270),0,"2",[[269, 1]],270, "Sym(270)", ["A",270, 1], "Sym"]];
10180PRIMGRP[271]:=
10181[[1, Factorial(271)/2,1,"2",[[270,1]],269, "Alt(271)", ["A",271, 1], "Alt"],
10182[2, Factorial(271),0,"2",[[270, 1]],271, "Sym(271)", ["A",271, 1], "Sym"],
10183[ 3, 271, 3, "1", [ [ 1, 270 ] ], 1, "C(271)", [ "Z", 271, 1 ], [  ] ],
10184[ 4, 542, 2, "1", [ [ 2, 135 ] ], 1, "D(2*271)", [ "Z", 271, 1 ],
10185  [ [ [ Z(271)^135 ] ] ] ],
10186[ 5, 813, 2, "1", [ [ 3, 90 ] ], 1, "271:3", [ "Z", 271, 1 ],
10187  [ [ [ Z(271)^90 ] ] ] ],
10188[ 6, 1355, 2, "1", [ [ 5, 54 ] ], 1, "271:5", [ "Z", 271, 1 ],
10189  [ [ [ Z(271)^54 ] ] ] ],
10190[ 7, 1626, 2, "1", [ [ 6, 45 ] ], 1, "271:6", [ "Z", 271, 1 ],
10191  [ [ [ Z(271)^45 ] ] ] ],
10192[ 8, 2439, 2, "1", [ [ 9, 30 ] ], 1, "271:9", [ "Z", 271, 1 ],
10193  [ [ [ Z(271)^30 ] ] ] ],
10194[ 9, 2710, 2, "1", [ [ 10, 27 ] ], 1, "271:10", [ "Z", 271, 1 ],
10195  [ [ [ Z(271)^27 ] ] ] ],
10196[ 10, 4065, 2, "1", [ [ 15, 18 ] ], 1, "271:15", [ "Z", 271, 1 ],
10197  [ [ [ Z(271)^18 ] ] ] ],
10198[ 11, 4878, 2, "1", [ [ 18, 15 ] ], 1, "271:18", [ "Z", 271, 1 ],
10199  [ [ [ Z(271)^15 ] ] ] ],
10200[ 12, 7317, 2, "1", [ [ 27, 10 ] ], 1, "271:27", [ "Z", 271, 1 ],
10201  [ [ [ Z(271)^10 ] ] ] ],
10202[ 13, 8130, 2, "1", [ [ 30, 9 ] ], 1, "271:30", [ "Z", 271, 1 ],
10203  [ [ [ Z(271)^9 ] ] ] ],
10204[ 14, 12195, 2, "1", [ [ 45, 6 ] ], 1, "271:45", [ "Z", 271, 1 ],
10205  [ [ [ Z(271)^6 ] ] ] ],
10206[ 15, 14634, 2, "1", [ [ 54, 5 ] ], 1, "271:54", [ "Z", 271, 1 ],
10207  [ [ [ Z(271)^5 ] ] ] ],
10208[ 16, 24390, 2, "1", [ [ 90, 3 ] ], 1, "271:90", [ "Z", 271, 1 ],
10209  [ [ [ Z(271)^3 ] ] ] ],
10210[ 17, 36585, 2, "1", [ [ 135, 2 ] ], 1, "271:135", [ "Z", 271, 1 ],
10211  [ [ [ Z(271)^2 ] ] ] ],
10212[ 18, 73170, 2, "1", [ [ 270, 1 ] ], 2, "AGL(1, 271)", [ "Z", 271, 1 ],
10213  [ [ [ Z(271) ] ] ] ]];
10214PRIMGRP[272]:=
10215[[ 1, 9951120, 1, "2", [ [ 271, 1 ] ], 2, "PSL(2, 271)",
10216  [ "L", [ 2, 271 ], 1 ], "psl" ],
10217[ 2, 19902240, 0, "2", [ [ 271, 1 ] ], 3, "PGL(2, 271)",
10218  [ "L", [ 2, 271 ], 1 ], "pgl" ],
10219[3, Factorial(272)/2,1,"2",[[271,1]],270, "Alt(272)", ["A",272, 1], "Alt"],
10220[4, Factorial(272),0,"2",[[271, 1]],272, "Sym(272)", ["A",272, 1], "Sym"]];
10221PRIMGRP[273]:=
10222[[ 1, 1425715200, 1, "2", [ [ 272, 1 ] ], 2, "PSL(3, 16)",
10223  [ "L", [ 3, 16 ], 1 ],
10224  [ (  4,109,132, 54, 16,195,141,179,257,151,156,268,115, 75,222)
10225        (  5,148, 32,104,223,127, 72,174,269, 37,226,210,259,129,118)
10226        (  6,263,121,108, 65,181,175,208,150,130,144, 98, 17, 74,112)
10227        (  7,193,103, 52,105, 44, 69,229,217,266,102, 40,133, 68, 39)
10228        (  8,  9,238, 62, 61,212, 63,216, 73, 47, 25, 49,214, 57,110)
10229        ( 10,180,220,245, 46,186,190, 78,271,128, 67, 45, 18,204,167)
10230        ( 11, 21,194, 64,152,243,262,273,138, 29, 87, 59,155,250, 27)
10231        ( 12,203,251,164,134,237,209, 97,183,168, 55, 14,165,265,200)
10232        ( 13,197,100, 79,126,171,145,252,169,162, 77, 89,260,107,172)
10233        ( 15,224, 60, 88,215,140,189,199,258, 20,178,211, 33,101,187)
10234        ( 19, 80,249, 41,131,242, 26,185, 43,267,135,120,254, 31, 53)
10235        ( 22,225,163,264, 93,166,116, 30, 92, 70,206,234,235,272,236)
10236        ( 23,142,160,136,146,227,230,201,239,247,232, 34, 84,123,176)
10237        ( 24,202,177,231,124,228, 85,147, 35,137,233,161,248,143,240)
10238        ( 28, 56,191,106, 71,157, 95,207,113,244,117,188, 36,159,253)
10239        ( 38,218,158,122,205,111, 82,192, 86,198, 96, 66, 81, 51, 99)
10240        ( 42,219,261,170, 90,182,125, 76, 58,246,154, 50, 94,213, 91)
10241        ( 48,241,221,153,184,119, 83,114,173,270,149,255,256,196,139),
10242      (  1,245,101,124,123,  3,  2)(  4,254,119, 91, 30,132, 77)
10243        (  5,118,130, 80, 15,212,165)(  6, 38, 43,113,  7,164,244)
10244        (  8,172,178,218,267, 72,263)(  9,223,161,160, 18,241,253)
10245        ( 10, 65,210,145,134, 24, 23)( 11,257, 51,182,126, 94, 98)
10246        ( 12, 25,102,177,176,128, 27)( 13,262, 95,250,159,272,203)
10247        ( 14,192,106,162,139,265,256)( 16,198, 47,111, 87,185, 70)
10248        ( 17,189, 49,191,266, 44,131)( 19,163, 42, 97,141,140, 41)
10249        ( 20,153,270,170, 99,105, 92)( 21,151,234,226,158, 33,273)
10250        ( 22,144,209, 37,188, 55, 31)( 26,104,219,193,216,135,174)
10251        ( 28,231,230,190, 53,217, 79)( 29,221,187,169, 39,251,168)
10252        ( 32, 68,173,261,194, 40,200)( 34, 46,259,208,156, 54, 35)
10253        ( 36,125,211,181,150, 86,115)( 45,183,138,206,236, 85, 84)
10254        ( 48,175, 82,213,116,214,166)( 50, 59,202,201,167,235,205)
10255        ( 52,249, 63,171,224, 93,112)( 56,114, 96, 66,248,247,186)
10256        ( 57,137,136,204,100, 62,258)( 58,179, 81,242,233,232,180)
10257        ( 60, 89,127,207,157,255, 64)( 61,108,229,121, 69,109,129)
10258        ( 67,222,154,264, 74,143,142)( 71,149,197,238,199, 90,152)
10259        ( 73,252, 88,260,240,239,271)( 75, 83,237,243,107,110,215)
10260        ( 76,246,228,227, 78,133,120)(103,148,155,195,196,269,117)
10261        (122,225,268,184,147,146,220) ] ],
10262[ 2, 2851430400, 0, "2", [ [ 272, 1 ] ], 2, "PSL(3, 16).2",
10263  [ "L", [ 3, 16 ], 1 ],
10264  [ (  1,196,191, 24, 17,263, 63,210, 99,155, 55,171, 71, 10)(  2,147,186,157,
10265         87,265, 15,243,185, 26,270,170,  6, 68)(  3,209,203,166,200,176, 36,
10266         135,109,153, 34,207, 82,129)(  4,161,205,231,223, 98, 11,240, 29,252,
10267         103,148, 70,149)(  5,214, 67, 27,211,113, 81,152, 19,177, 86,230,174,
10268         206)(  7,262, 78,249,110,220, 32,100,222,142,139,198,178,164)
10269        (  8, 90, 44, 25,241, 57,269, 31,111,250,268, 77,251,216)
10270        (  9,254,267,235, 61, 54,236,258,141,125, 94,115,172,213)
10271        ( 12,158,146,130,105, 83, 33,179,184,163,180,107,140,126)
10272        ( 13,218,246, 85,199,195, 69, 66,108, 14,261,167,215,106)
10273        ( 16, 49,123, 46,233,239,132,234, 18, 96,260,237, 59,192)
10274        ( 20,183,154,187,143, 97,102,201, 23,101,189, 58,272, 35)
10275        ( 21, 45, 47,124,264, 92, 50)( 22,188,128, 30,165,136, 60,255, 28,104,
10276         193,197,168,228)( 37, 40, 73, 38,144,173,247,257, 43,121,131,169,221,
10277         137)( 39,238,150,259,162,208,133,190,219,271, 74,194,217,204)
10278        ( 41,273,256,182,118,134,138, 80,212, 53, 51,151,244,225)
10279        ( 42,266,156, 84,175, 95,112, 89, 56,145, 72,227,127,160)
10280        ( 48,229,181,248, 64, 79,202, 65,116,159,224,226,245, 75)
10281        ( 52,242,122, 91, 88,120, 93)( 62,232, 76,119,114,253,117),
10282      (  1,139,128, 18,100,149, 72, 26,126,253, 75,256,202,254,184,218,226,
10283         153, 40,208,239,214, 31,104, 33,220,255, 80,238,240,145,135,194,173,
10284         110,260, 47,178, 63, 88,193, 68,237,270, 95, 62,  3,158,127, 81, 52,
10285         235,171,175,129,172,241,271,243, 13,199,244,242,143,198,195, 60, 84,
10286         108, 65,102,112,247, 67,246,268, 74, 57, 87, 97,228, 45,162, 92,251)
10287        (  2,182,163, 32,  9,174,273, 77, 58, 76,211, 36,101,150,183,122,232,
10288         137,164, 48, 15,  7, 79, 10,176, 83,116, 99,230,203,136,146, 49,119,
10289         147,269,115,259, 51, 20, 91, 61,156,187,266,216,213,113,224,144,219,
10290         231,223, 34,181,196, 14,103,133,114, 82, 66, 71,190,217,262,257, 55,
10291         233, 56, 11, 59,186,152,160, 43,121,179, 19,212, 41,265, 46,263,272)
10292        (  4, 38,  6,131, 28,141,225, 44,209,191,159,267,130,161,106,245, 17,
10293         210,117,221, 37, 42, 86, 22, 27, 21,166,165,155, 98,177, 23, 30, 12,
10294          73,105, 96,197,157,215,201,154, 90,229,169,205, 70,124,252,118,142,
10295         134,185,111,148,109,236,207, 93,151,222,107, 78, 50, 85,261, 64,204,
10296         192, 54,138,258,  5,170,188,206,227,264, 25,  8,180,248,249, 89,234)
10297        ( 16,125, 94,140,189,167, 39, 29, 69,132,250,123, 53, 35,168,120,200)
10298     ] ],
10299[ 3, 4277145600, 0, "2", [ [ 272, 1 ] ], 2, "PSL(3, 16).3",
10300  [ "L", [ 3, 16 ], 1 ],
10301  [ (  1,210,267, 31,  3, 82,255, 53,144,115,134, 41, 49,132, 66,177, 97, 39,
10302          85,207,248, 10,243,174,114,203, 47,268, 44, 95, 45, 59,188,231,125,
10303         217,  5,110,205,117,101,113,118,189,239,191,221,224, 37, 76, 71,251,
10304          14, 12,131,145,230, 70, 43, 81, 93,141,222,142, 34, 22,143,157,100,
10305         187,195,220,183,151, 64,148,  9,216,121, 87,181, 28,238,129,140, 79,
10306         154,201,228,259,139,135,215,149,161, 26, 18,211,  2,269,162,227, 91,
10307         247,244, 21,236,108,179, 94,103,261,150,105,225,147,146,152,252,198,
10308           7, 63, 90,266,202, 77, 50,193,169,109,194, 68,226,  6,185,253,107,
10309          13,256, 73,186,163,164,153,138, 55, 98,171, 75,160,102,156,271,168,
10310         170, 32,249, 83,106, 46, 78,112,260,  4,241, 35, 89,263,  8,242, 57,
10311          23, 69,250,173,270,116, 84, 42,196,272,136,214,180, 20, 62,172,178,
10312         165, 19,233, 80,192, 74,128, 96, 29,190,232,204,166,229,257, 86,223,
10313         155, 61,123, 27, 54,120,218,167,175,258,206, 36, 40, 60, 15,122,159,
10314         184,111,237, 16,182, 65, 58, 48, 11,130,254, 99,240,265,158,197,264,
10315         212,126,209, 92,199,273, 67,137, 51,176, 25,104,133, 88, 24,124,246,
10316          17, 52,200,119, 33,213, 56,219,127,235,208,245, 72, 30,262,234, 38),
10317      (  1,155,217,261,134,207,214, 64,208,250,  2,263,203,210, 38, 92,  5,
10318          30,219, 46, 56,249,150,185,223, 97,268,231,147,200,109,202,225, 96,
10319          99, 33,182,116,218, 18, 22, 84,244,233,170,149,164,221, 34,144,199,
10320         235, 62,228,256,115,139,255, 73,226, 50, 93,  9, 41, 19,272,234,178,
10321          79,117,148, 63,152, 76,196,230,267, 23,  8,141, 68,209,162,142, 24,
10322          58, 57,259,239,257, 11, 35, 25,133,105,163,151,165,222, 60, 28, 10,
10323          40,172, 98, 94, 21,136, 75, 59,157,198,206,158,120,186,107, 65,137,
10324         254,248, 47,  7, 86, 45,110,143,160,205,193, 36,177,108,212,195,113,
10325         224,101, 77, 61, 32, 83,140,106,213, 71,211, 17,121,192, 85,251,220,
10326         237,102,246,265,  4,260,125, 39,153, 52,168,175,138,130, 20,191, 67,
10327           3, 26,174,190, 81,189, 15, 42, 13,243,242, 51, 12,114, 90,167,154,
10328         181,156,232, 49, 14,273, 44,171,128,127, 88,253,100,  6,173, 43,227,
10329          95, 91,194,129,179,229,135, 54,146,122, 31,266,132, 55, 66, 89, 72,
10330         262, 27, 69,111,145,204,112,216, 37,188,131,240,271,119,238,215,197,
10331          70,252,201, 87,258,264,103, 74,124,184,269,270, 53,126, 29,236, 82,
10332         161,166,247,123, 80,180,176, 78, 16,118, 48,159,183,245,187,169,241,
10333         104) ] ],
10334[ 4, 5702860800, 0, "2", [ [ 272, 1 ] ], 2, "PSL(3, 16).4",
10335  [ "L", [ 3, 16 ], 1 ],
10336  [ (  1,132,125,263,172,141,113,270,272,109, 30,192)(  2,170, 42,148,  6,257,
10337         144, 57, 53,221,120,236)(  3,245,269,146,238,217, 11,209,160, 54,183,
10338         130)(  4, 60)(  5, 18, 66,259, 28, 65,233, 61,152, 92, 44,  9)
10339        (  7,134,133,154,151,253,256,211,184,122,136,158)(  8, 20,186,255, 97,
10340         198,118,258,123, 73,268,215)( 10, 63, 26, 16,216, 59,100,140,149,182,
10341         167, 12)( 13,147,234, 69,190, 37, 82, 96,181, 14,252,145)
10342        ( 15,164, 72,250,219,159, 24, 98, 34,163,201,227)( 17, 95,129, 87, 33,
10343         150, 81,175,229,126,260, 56)( 19, 88,199,119, 49,127,138,239,206,271,
10344         111, 51)( 21,174,203,137,114,210,155,254, 47, 45,110,157)
10345        ( 22,191, 52, 35,165, 70, 76,162,104,176,161,177)( 23,178,187,262, 50,
10346         41, 48, 46,232, 77, 64,189)( 25, 62, 32,115,108,230,205, 43,218,225,
10347         248,139)( 27,117, 79, 40, 99, 94,131,196, 86,105,231, 74)
10348        ( 29,135,237,247, 67, 75,124,185,102, 58,224, 55)( 31,153,188,128, 68,
10349         246,222, 78,193,207, 36,249)( 38,116,173,106,267,171, 71,202,213,244,
10350         39,112)( 80,204,143)( 83,265,208,169,180,251, 89, 85, 84, 91,273,220)
10351        ( 90,156,240,168,228,212,214,223,101,241,226,166)( 93,121,200,264,266,
10352         179)(103,243,261)(107,242,235,195,194,142),
10353      (  1, 39,231, 92,238,223, 33,191,145,117)(  2, 49,136,178,111, 69,  4,
10354          73, 78,243)(  3, 18,248,124, 56,244,149, 70,204,139)
10355        (  5, 90, 46,152,233, 44,186,255,137, 91)(  6, 20,215,208,116,131,127,
10356         256,115,251)(  7,121,211,198,194,164,134, 93,112,264)
10357        (  8, 15,237,101,205, 36,268,272, 55,241)(  9,265, 72,207,171, 12,105,
10358         74, 13, 98)( 10,192, 85,232,104, 71,185, 27, 87,252)( 11,160,130,165,
10359         106, 23, 63, 77,253, 41)( 14,196,261,183,144)( 16,153, 96,169,132,
10360          31,151,181,270, 28)( 17,202,236, 61, 94,206, 34, 26, 19,220)
10361        ( 21,129, 89,170, 43)( 22,163,200,190,246,143,226, 76,175, 52)
10362        ( 24, 47, 59,195,184, 25,179,258, 67,100)( 29, 53,257,189,172,197,216,
10363         138, 48,254)( 30,108,157, 42,230,150,167,176,177,174)
10364        ( 32, 86,102,235, 75,245,263,240,266,125)( 35, 64,225, 84,142,210,242,
10365         82,128, 50)( 37,239, 45,162,147,113,103,222,267,214)( 38,107, 51,203,
10366         168,114,224, 65, 80, 97)( 40,247,133, 95,173,120,166,110,249,119)
10367        ( 54,219,227, 79,209,221,188,154,218,109)( 57,201,199, 81,193)
10368        ( 58,122,155,159,212,141,148,229,146,135)( 60,259,123,260,182, 88,156,
10369         234, 99, 66)( 62, 83)( 68,187,140,269,126,118,271,158,161,213)
10370        (180,217,228,250,262) ] ],
10371[ 5, 8554291200, 0, "2", [ [ 272, 1 ] ], 2, "PSL(3, 16).6",
10372  [ "L", [ 3, 16 ], 1 ],
10373  [ (  1, 82, 83, 11,118, 13,173,225,226, 67,263, 28,199,159,192,201, 77,219,
10374         168, 84,207, 69,191,143,248,106, 50,144, 33,142,259,230,246, 65,  4,
10375          88,  6,176, 51, 99,187,174)(  2, 26,170,221,172, 70, 92,  3, 29,121,
10376         141,254,140,200,268, 71,196,211,105,251,241,126,120,103, 53,235, 87,
10377          40,260, 64,167,107,112,258,100,179,222,139,262,160,269,155)
10378        (  5, 14, 94,257,158,135,110,151, 55,247, 89,  7, 19,249,183,242,209,
10379          96,166,224, 61,237,229,244, 76,177, 95, 75,210, 39,137,218,113,271,
10380         136,157, 59,205,216, 49,220,133)(  8,108,130,  9,266,245,145,109, 91,
10381         190,202,156, 16,188, 57, 86,194,261, 44,128,213, 18,180, 42, 58,233,
10382         232, 10,153,129,217, 81, 30, 72,116,123, 97,150,272,238,131,253)
10383        ( 12,256,154,164,182,215,243, 41,252, 54,264,227,125,162, 47, 78, 48,
10384         178, 23,265,198, 68,169, 21,122,250, 45,138,114,203,134, 22, 62,240,
10385         214,148,161, 73,149, 60,171,206)( 15,165, 27,163,228,273,231, 74, 20,
10386         56,204, 52, 24, 31,104, 90,127,267,234, 63, 93, 25,117, 85, 38,270,
10387         115, 98,184, 17,152,212, 35,208, 34,146,124, 46,181,189,193,185)
10388        ( 32,175, 36,119,255,132,236,186, 66,239, 80,197, 79,102,223,147,195,
10389         101, 37, 43,111), (  1, 55,161,102,140,103,104,224, 66,135,172,124,
10390         222, 67, 92,  4, 95, 58, 97, 75,112,185,139,247, 25, 60, 41,237,  7,
10391          29)(  2,153,141,245,228, 72, 93,192,208,181,238,203,240, 86, 96, 43,
10392         255,125, 51, 38, 69,242,204,108,184,138, 22,107,231,201)
10393        (  3, 68, 12, 23, 15,188, 20, 32, 17, 27, 63,264,209,249, 48,226,218,
10394         177, 62,105,205,157, 91,252,253,163,132,263, 83,131)(  5,202,200,113,
10395         35,127,223,215,123,109,115, 19,134, 31, 36, 53,168,241,217,260, 54,
10396         183,151,152,266, 99,269,190,133,122)(  6,166,169,100, 81,120,197,227,
10397         186, 74,265,272, 13,193,149)(  8, 28,182,150,234,128,207, 61, 64, 30,
10398         235,148,254,244,129,187,258, 14,136,175,210,248,158, 98, 71,213, 33,
10399          94,143,165)(  9,232,236, 50, 52,273,267, 24,156,262, 70, 65,196, 46,
10400         171,180,159,198,137, 10,162,270,220,179,268,170, 79, 45, 16,214)
10401        ( 11,243)( 18, 78,239, 39, 90,257,121,101, 44, 77,116, 76, 88, 87,114,
10402         251, 73,195,119,130, 89,142,111,221,250,199, 47,212, 59,155)
10403        ( 21,146,154,144,178,230,118,271,164,174,110,216,191, 34, 80,189,194,
10404          82,145,246,147,233,173, 26,211,256,176,126, 56,160)( 37,219,225,167,
10405         206, 40,259, 57, 84,106)( 42,229,117, 85, 49) ] ],
10406[ 6, 17108582400, 0, "2", [ [ 272, 1 ] ], 2, "PGammaL(3, 16)",
10407  [ "L", [ 3, 16 ], 1 ],
10408  [ (  1, 87, 22, 70, 38,135, 16,101,166,262, 95,100, 39, 55, 13, 23)
10409        (  2, 56,116, 34,212, 32, 27, 10,192,153, 20,107,176, 15, 28,152)
10410        (  3, 29, 93,132, 86,222, 48, 66,238, 67,219, 76,216, 43,117,156)
10411        (  4, 18,175,255,109,230,151,160,102,182, 42,268,170,240,231,197)
10412        (  5, 52, 51,163,183,224, 33,147, 89,209,254,198, 71,185, 61,127)
10413        (  6,187,226,249,137, 57,245,105)(  7,140,211, 24,256,112,165,188,180,
10414         252, 73,218,168,250,150, 74)(  8,173,247, 82, 46, 91,120,128,220,121,
10415         261,260,207, 98,246,236)(  9,244, 59,253,223,148,141,114, 63,164, 17,
10416         186,177, 78,146, 85)( 11,124,201,130,133,228,178,171,267, 75,195,257,
10417         35, 14,217,154)( 12,202,215, 54, 90, 26,108,167, 81,265,122, 41,271,
10418         241,242,233)( 19,232,270,125,269,237,143,139,106, 88, 53, 84,264,243,
10419         25,196)( 21,200,273,136, 94,161,191,266, 97,194,149,272, 64,221, 44,
10420         248)( 30,229, 79, 92,110, 99,119,144,131, 65, 83,259,258,208,157,189)
10421        ( 31, 62, 69,263,126, 77,104,239)( 36,155, 45, 68, 47,213, 58,205,174,
10422         134, 40, 96,199,179,103,235)( 37,123,129,113,204,172,203,225, 50,111,
10423         190,184,142,162,118,214)( 49,206,145,115,158, 80,138,234,227,251,193,
10424         210,159, 72,169,181),
10425      (  1,222,260,138,194,200, 35,257,220, 14,147,151)(  2,225,186,228,126,
10426         245,109,158,175,199,153,272)(  3,246, 78,262, 90, 49,263, 72,169, 74,
10427         240,182)(  4, 64,  5,184, 58,187,150,136,155,215,226, 33)
10428        (  6, 85, 92,167, 40, 98, 17,168,165, 56,261,268)(  7,251,139,163, 24,
10429         189,204,120, 83, 99,206,102)(  8,235,162,112,253,221,192, 59,250,115,
10430         239,196)(  9, 71, 26, 48, 28,264, 97, 44, 65,122,218, 53)
10431        ( 10,209, 81, 16,241,233, 34, 18,232,270,161,197)( 11,157,103,201,234,
10432         69,223, 63,202, 73,128, 87)( 12,123,227,131, 19,119,244,130, 66,105,
10433          91,258)( 13, 36, 84, 79,145, 30,114, 93,249,256,219,203)
10434        ( 15,140, 55,273,236, 32, 39, 82, 25,144,111,237)( 20, 57,188,101, 70,
10435         185, 75,164,205,148, 76,100)( 22,160,269,259,132, 47, 54, 61,229,252,
10436         31, 95)( 23,171,108,142, 29,217,243,183,146,141,212,172)
10437        ( 27,216,143, 86, 67, 43)( 37,195,178,133,213,207,198,152,211,255,210,
10438         107)( 38, 51, 62,179, 89,129, 41,248, 96, 46, 60,125)
10439        ( 42,231,110,190,170,208,254,113,173,265,149,135)( 45, 52,247,242,127,
10440         156,117,116,267,124,177,180)( 50,166,159)( 68,193,238, 77,176,137,
10441         224,271, 88,266,191,214)( 80,134,106,230,118,121)( 94,104,181)
10442        (154,174) ] ],
10443[7, Factorial(273)/2,1,"2",[[272,1]],271, "Alt(273)", ["A",273, 1], "Alt"],
10444[8, Factorial(273),0,"2",[[272, 1]],273, "Sym(273)", ["A",273, 1], "Sym"]];
10445PRIMGRP[274]:=
10446[[1, Factorial(274)/2,1,"2",[[273,1]],272, "Alt(274)", ["A",274, 1], "Alt"],
10447[2, Factorial(274),0,"2",[[273, 1]],274, "Sym(274)", ["A",274, 1], "Sym"]];
10448PRIMGRP[275]:=
10449[[ 1, 898128000, 1, "2", [ [ 112, 1 ], [ 162, 1 ] ], 1, "McL",
10450  [ "Spor", "Mc", 1 ],
10451  [ (  1,191)(  2,182)(  4, 81)(  5, 55)(  6, 60)(  8, 66)(  9,272)( 10,177)
10452        ( 11,192)( 12,163)( 14,242)( 15,133)( 16,107)( 18,267)( 19,108)
10453        ( 20,218)( 21,198)( 22,185)( 23,211)( 24, 82)( 25,204)( 26,195)
10454        ( 27,132)( 28,253)( 29,207)( 30, 59)( 31,179)( 32,154)( 33,264)
10455        ( 34,152)( 35, 92)( 36,189)( 37,217)( 38,197)( 39, 85)( 40,156)
10456        ( 42,184)( 43,102)( 44, 50)( 45,216)( 46, 99)( 47,181)( 49,199)
10457        ( 51,111)( 53,158)( 54,236)( 56,210)( 58,103)( 61,263)( 63,119)
10458        ( 64,138)( 65,127)( 67,105)( 68,137)( 70,125)( 71,144)( 72,219)
10459        ( 73,261)( 75,175)( 77,269)( 78,237)( 79,268)( 83,232)( 84,256)
10460        ( 86,104)( 87, 95)( 89,234)( 90,233)( 91,140)( 94,149)( 97,173)
10461        ( 98,160)(100,112)(101,123)(106,221)(109,131)(110,176)(113,262)
10462        (114,257)(115,201)(117,260)(118,238)(120,275)(121,214)(122,225)
10463        (124,246)(126,170)(129,141)(134,196)(135,167)(142,235)(143,224)
10464        (145,205)(146,249)(148,226)(150,243)(153,193)(155,228)(161,231)
10465        (164,215)(165,180)(168,222)(169,270)(171,241)(172,259)(174,212)
10466        (178,188)(183,266)(186,203)(190,250)(202,247)(208,255)(209,251)
10467        (213,252)(223,271)(227,274)(230,240)(239,254)(245,258)(265,273),
10468      (  1, 24,204, 92,155)(  2, 28,272,165, 78)(  3, 67,142, 31,255)
10469        (  4,168, 77, 17,100)(  5,118, 19,223,211)(  6,274,137, 79,245)
10470        (  7, 98, 75, 73, 14)(  8,209, 43,139,193)(  9,266,104, 70,145)
10471        ( 10,271, 12, 13, 71)( 11,247,138,121,269)( 15,218,133,164,196)
10472        ( 16,170,182, 65,171)( 18, 26,198,124,185)( 20,128,159, 83, 38)
10473        ( 21,264, 27, 64,162)( 22,116, 53,101, 51)( 23,179,244, 80,203)
10474        ( 25, 40,177, 85,191)( 29, 56,135, 68,195)( 30,132, 42,248,146)
10475        ( 32,148,114, 49,134)( 33, 61,163, 90,227)( 34,241,233, 95,181)
10476        ( 35, 89, 82,205, 41)( 36,239,275,257,183)( 37, 54, 99,249,176)
10477        ( 39,126,189,136,230)( 44,172,153,125,119)( 45,234,222,232,212)
10478        ( 46,214, 69,167,190)( 47,140,268,174, 62)( 48, 55,113,220,235)
10479        ( 50,213,224,202,130)( 52,107,262,226, 88)( 57,221,261,129, 58)
10480        ( 59,252,260,216,166)( 60, 84,188,208,201)( 63, 94,173,210, 81)
10481        ( 66,192, 93,169,110)( 72,152,197,217,254)( 74,206,154,186,219)
10482        ( 76, 91,180,238,112)( 86,215,231,131,225)( 87,115,158,178,240)
10483        ( 96,265,161,120,144)( 97,250,243,263,109)(102,207,246,122,127)
10484        (103,156,160,151,150)(105,267,199,111,117)(106,273,242,149,143)
10485        (108,256,157,147,184)(123,141,259,175,200)(187,251,258,194,236)
10486        (228,237,253,270,229) ] ],
10487[ 2, 1796256000, 0, "2", [ [ 112, 1 ], [ 162, 1 ] ], 1, "McL:2",
10488  [ "Spor", "Mc", 1 ],
10489  [ (  1,  2)(  3,  4)(  5,  7)(  6,  8)(  9, 12)( 10, 13)( 11, 15)( 14, 19)
10490        ( 16, 21)( 17, 22)( 18, 24)( 20, 27)( 23, 31)( 25, 33)( 26, 34)
10491        ( 28, 37)( 29, 38)( 30, 40)( 32, 43)( 35, 47)( 36, 48)( 39, 51)
10492        ( 41, 53)( 42, 54)( 44, 57)( 45, 58)( 46, 60)( 49, 63)( 50, 64)
10493        ( 52, 67)( 55, 71)( 56, 72)( 59, 76)( 61, 78)( 62, 79)( 66, 82)
10494        ( 68, 85)( 69, 86)( 70, 88)( 73, 92)( 75, 94)( 77, 97)( 80,101)
10495        ( 81,102)( 83,105)( 84,106)( 87,110)( 89,112)( 90,113)( 91,115)
10496        ( 93,118)( 95,120)( 96,121)( 98,123)( 99,109)(100,125)(103,129)
10497        (104,130)(107,133)(108,134)(111,137)(114,140)(116,142)(117,128)
10498        (119,144)(122,147)(124,149)(126,139)(131,153)(132,154)(135,158)
10499        (136,159)(138,161)(141,164)(143,167)(145,170)(146,172)(148,175)
10500        (150,177)(151,178)(152,179)(157,183)(160,187)(162,189)(163,190)
10501        (165,168)(166,193)(169,195)(171,196)(174,197)(176,192)(180,204)
10502        (181,201)(182,206)(188,209)(191,213)(194,216)(198,221)(199,222)
10503        (200,208)(202,225)(203,227)(205,230)(207,232)(210,218)(211,233)
10504        (212,235)(215,236)(217,238)(219,240)(220,241)(223,244)(224,245)
10505        (226,247)(228,249)(229,250)(231,252)(234,255)(237,257)(239,242)
10506        (243,259)(246,261)(248,264)(253,267)(254,268)(256,269)(258,266)
10507        (260,270)(262,271)(263,265)(272,274)(273,275),
10508      (  1,  3,  5)(  4,  6,  9)(  7, 10, 14)(  8, 11, 16)( 12, 17, 23)
10509        ( 13, 18, 25)( 15, 20, 28)( 19, 26, 35)( 21, 29, 39)( 22, 30, 41)
10510        ( 24, 32, 44)( 27, 36, 49)( 31, 42, 55)( 33, 45, 59)( 34, 46, 61)
10511        ( 38, 50, 65)( 40, 52, 68)( 43, 56, 73)( 48, 62, 80)( 51, 66, 83)
10512        ( 53, 69, 87)( 54, 70, 89)( 57, 74, 93)( 58, 75, 95)( 60, 77, 98)
10513        ( 63, 81,103)( 64, 76, 96)( 67, 84,107)( 71, 90,114)( 72, 91,116)
10514        ( 78, 99,124)( 79,100,126)( 82,104,131)( 85,108,112)( 86,109,135)
10515        ( 88,111,138)( 92,117,123)( 94,119,125)( 97,122,148)(101,127,150)
10516        (102,128,151)(106,132,155)(110,136,160)(113,139,162)(115,141,165)
10517        (118,143,168)(120,145,171)(121,146,173)(129,144,169)(130,152,180)
10518        (133,156,182)(134,157,184)(140,163,191)(142,166,172)(147,174,198)
10519        (149,176,200)(153,181,205)(158,185,207)(159,186,170)(161,188,210)
10520        (164,192,214)(167,194,217)(175,199,223)(177,201,224)(178,202,226)
10521        (179,203,228)(183,193,215)(187,208,209)(189,211,234)(190,212,221)
10522        (195,218,239)(196,219,233)(197,220,242)(204,229,251)(206,231,253)
10523        (216,237,255)(222,243,260)(225,246,262)(227,248,257)(230,238,258)
10524        (232,254,269)(235,256,267)(240,249,265)(247,263,261)(250,264,268)
10525        (252,266,272)(270,271,273) ] ],
10526[3, Factorial(275)/2,1,"2",[[274,1]],273, "Alt(275)", ["A",275, 1], "Alt"],
10527[4, Factorial(275),0,"2",[[274, 1]],275, "Sym(275)", ["A",275, 1], "Sym"]];
10528PRIMGRP[276]:=
10529[[ 1, 6072, 1, "2", [ [ 22, 7 ], [ 11, 11 ] ], 1, "PSL(2, 23)",
10530  [ "L", [ 2, 23 ], 1 ],
10531  [ (  1,152,227,113,122,271)(  2, 58,120,220,269,111)(  3,164,  9,209,255,110
10532         )(  4, 83, 44,257,181, 34)(  5, 64, 77, 41, 78,130)(  6, 67, 33, 50,
10533         186,246)(  7,159,216,182,275, 66)(  8,218,176,248,264, 49)
10534        ( 10, 11,252, 27,199,249)( 12, 93,185, 61,272,263)( 13,219,160, 15,
10535         229, 92)( 14,155,145,188, 30,106)( 16,244,103, 38,273,228)
10536        ( 17,116, 88,162, 24,193)( 18, 62,245,109, 54, 48)( 19, 35, 69,261,
10537         262,213)( 20, 57, 60, 59,172, 99)( 21,241,126,138,194,207)
10538        ( 22, 23,237,177,137,243)( 25,180,147,135,200,192)( 26,187,101)
10539        ( 28, 29,102, 40,128,205)( 31, 91,127,230,260,123)( 32,163,274,214,
10540          85, 72)( 36, 86,157, 95,239, 68)( 37,104,136,224,238,270)
10541        ( 39,173,143,236,153,226)( 42,112,258,166,206,195)( 43, 84,133,250,
10542         139,259)( 45,107,265, 65,231,124)( 46, 53,151, 87,117, 63)
10543        ( 47, 55,233,234,276,268)( 51,203,119)( 52,131,208, 70,223,202)
10544        ( 56,140,212,175, 94,158)( 71,256,165,129,144,156)( 73,197,235)
10545        ( 74, 98,132,148,179,196)( 75,168,183,184,198,211)( 76,247,146, 90,
10546         154,242)( 79,142,189,134,210,115)( 80,222,161,170,191,232)
10547        ( 81,125,225,240, 97,150)( 82, 89, 96,190,171,254)(100,141,267,204,
10548         253,118)(105,215,167,178,149,201)(108,251,174)(114,221,266,169,121,
10549         217), (  1,257,195,153, 35, 28)(  2, 75,221,272, 89,116,170,137,210,
10550          65,222, 15)(  3, 97,233,171,260,247,188,100,224, 46, 49,178)
10551        (  4,106,187,250,149, 47,261,  8, 10,165,122,259)(  5, 77,235, 53, 54,
10552         33,102,234,186,236, 83,108)(  6,147,159,129,245, 45,194, 31,226,208,
10553          61,255)(  7, 58,168,266, 13, 30,230, 79, 43,145,113,254)
10554        (  9, 42,184,128,104,252,152, 73,156,167,132, 39)( 11,120,146, 95,172,
10555         189, 59,201, 27,114,154,253)( 12,264, 32,160,219,176, 85,275,175, 84,
10556         177, 98)( 14,169,248, 72,111,232,144, 29,220,217,276,131)
10557        ( 16,150,269,227, 50, 88,121,166,244,119,190, 26)( 17, 70,242,274, 19,
10558         205,239, 23,203, 80,151,243)( 18,140,103,139, 78, 22,228,148,173,185,
10559         115,216)( 20,263,258,133,249,126,105,229, 60, 41,181,196)
10560        ( 21, 76,237, 81, 66, 57,158,117,130, 99, 92,157)( 24,268, 69,109,240,
10561         63)( 25, 68,214, 44, 37,267,161,199,265, 96, 40,206)( 34,218,202,251,
10562         143,155,191, 48,197, 71,163, 87)( 36, 52,174,162, 90,136, 55,198,225,
10563         200, 62,212)( 38, 82,273,110, 67,215,134,241,142, 86,246,180)
10564        ( 51,211,107,112,262, 74, 94,213,125,123,183,101)( 56,192,271,182,124,
10565         141, 91, 93,193,164,179, 64)(118,204,223,270,138,135,231,127,209,207,
10566         238,256) ] ],
10567[ 2, 12144, 0, "2", [ [ 22, 10 ], [ 44, 1 ], [ 11, 1 ] ], 1, "PGL(2, 23)",
10568  [ "L", [ 2, 23 ], 1 ],
10569  [ (  1,  2,  4,  8, 15, 28, 49, 83,132,190,232,269,275,173,143,134,135,194,
10570         207,252,179,224)(  3,  6, 12, 22, 41, 70,113,168,205,229, 48, 82,131,
10571         188,244,272,276,262, 95,147,210,256)(  5, 10, 19, 35, 59,100,154,181,
10572         62,105,123,178,211,257,242,259,193,209,255,  7, 14, 26)
10573        (  9, 17, 32, 54, 92, 71,115, 53, 90,141,202,139, 76,124,180,239,128,
10574         183,240, 60, 69,114)( 11, 21, 39, 66,110,165,222,265,273,254, 18, 34,
10575         58, 98, 44, 75,122,177,117,104,157,213)( 13, 24, 43, 73,118,172, 40,
10576          68,112,166,156)( 16, 30, 46, 79,127, 25, 45, 77, 23, 42, 36, 61,103,
10577         109,163,169,225,184,243, 93,144,206)( 20, 37, 63,106,159,216,246,164,
10578         221,264, 29, 51, 87,137,198,149,212,227,223,267,189,236)
10579        ( 27, 47, 81,130,187,101,155,214,186,182,111,152,175,233,260,215,167,
10580          31, 33, 56, 96,148)( 38, 65,108,160,218,217,261,268,199,249, 64,107,
10581         161, 88,138,200,250, 52, 89,140,201,245)( 50, 85, 72,116,170,226,241,
10582         270, 57, 97,150, 55, 94,146,151,203, 74,120,174,231,247,158)
10583        ( 67, 91,142,204,253,197,248,266,274,145,208, 78,125,121,176,235, 84,
10584         133,192,230,234,263)( 80,129,185, 86,136,196,119,102, 99,153,191,171,
10585         228,195,237,271,238,126,162,219,251,220),
10586      (  1,  3,  7)(  2,  5, 11)(  4,  9, 18)(  6, 13, 25)(  8, 16, 31)
10587        ( 10, 20, 38)( 12, 23, 34)( 14, 27, 48)( 15, 29, 52)( 17, 33, 57)
10588        ( 19, 36, 62)( 21, 40, 69)( 22, 41, 71)( 24, 44, 76)( 26, 46, 80)
10589        ( 28, 50, 86)( 30, 53, 91)( 32, 55, 95)( 35, 60,102)( 37, 64, 47)
10590        ( 39, 67,111)( 42, 72,117)( 43, 74,121)( 45, 78,126)( 49, 84,134)
10591        ( 51, 88,139)( 54, 93,145)( 56, 92,143)( 58, 99, 66)( 59,101,156)
10592        ( 61,104,158)( 63, 89, 77)( 65,109,164)( 68,113,169)( 70,110,103)
10593        ( 73,119,173)( 75,123,179)( 79,128,184)( 81, 83,115)( 82, 94, 90)
10594        ( 85,135,195)( 87,138,114)( 96,149,108)( 97,151,100)( 98,152,208)
10595        (105,106,160)(107,162,216)(112,167,154)(116,171,229)(118,132,191)
10596        (120,175,234)(122,146,209)(124,181,153)(125,182,241)(127,174,232)
10597        (129,186,188)(130,141,203)(131,189,245)(133,193,235)(136,197,228)
10598        (137,199,231)(140,176,236)(142,205,190)(144,207,187)(147,148,211)
10599        (150,213,259)(155,177,237)(157,215,185)(159,217,262)(161,170,227)
10600        (163,220,263)(165,202,252)(166,223,268)(168,224,257)(172,230,270)
10601        (178,238,243)(180,240,219)(183,242,248)(192,246,218)(194,221,200)
10602        (196,247,210)(198,201,251)(204,254,272)(206,214,260)(212,258,249)
10603        (222,266,244)(225,269,226)(233,271,276)(239,253,255)(250,273,267)
10604        (256,274,275)(261,265,264) ] ],
10605[ 3, 495766656000, 1, "2", [ [ 275, 1 ] ], 2, "Co_3", [ "Spor", "Co(3)", 1 ],
10606  [ (  1,245,185)(  2, 42, 87)(  3,112,266)(  4, 15, 22)(  5,131, 30)
10607        (  6,  7,188)(  8, 75,111)(  9,132, 82)( 12,187,124)( 13,186,136)
10608        ( 14,265,213)( 16,159, 99)( 17,256,130)( 18, 43,167)( 19,101, 31)
10609        ( 20,123,269)( 21,134, 74)( 23, 32, 60)( 24,209, 67)( 25,238,162)
10610        ( 26, 35,154)( 27, 45,221)( 28,235,270)( 29,126,129)( 33, 66,210)
10611        ( 34, 80,114)( 36,251,229)( 37,117,161)( 38,206, 63)( 39, 71,196)
10612        ( 40,118,180)( 41, 93,170)( 44,271,164)( 46,261,108)( 47,182, 49)
10613        ( 48,155,248)( 50,230,153)( 51,172,103)( 52,236,165)( 53,109, 64)
10614        ( 54,191,100)( 55, 76,203)( 56,156,260)( 57, 73,149)( 58,116,145)
10615        ( 59,147,273)( 61,127,189)( 62,231,197)( 65,122,169)( 69, 86, 95)
10616        ( 70,255,192)( 72,139, 78)( 77,252,151)( 79,262,184)( 81,214,242)
10617        ( 83,181,223)( 84,174,200)( 88,250,276)( 89,257,244)( 90,243, 91)
10618        ( 92,158,107)( 94,148,215)( 96,105,125)( 97,249,202)( 98,263,193)
10619        (102,115,175)(106,219,150)(110,204,152)(113,225,216)(119,237,166)
10620        (120,241,234)(121,224,195)(128,190,268)(133,143,228)(135,168,201)
10621        (137,227,247)(138,217,240)(140,258,232)(141,220,205)(142,178,207)
10622        (144,146,254)(157,274,179)(160,253,176)(163,272,226)(171,233,194)
10623        (173,246,212)(177,198,211)(183,267,222)(199,208,259)(218,264,239),
10624      (  1,204,123, 82)(  2,203, 14, 53)(  3, 33, 40,118)(  4,236,168,138)
10625        (  6,172,188,157)(  7, 77, 25,242)(  8, 76, 85,264)(  9, 47, 22,190)
10626        ( 10,146, 50, 26)( 11,133,220,254)( 12,224,179, 58)( 13,229,169, 23)
10627        ( 15, 84,148, 78)( 17,223)( 18,228)( 19,130,104,167)( 20,131, 90, 60)
10628        ( 21,252,185,205)( 24,263,214, 81)( 27, 32,209, 61)( 28,196, 67,137)
10629        ( 29,199, 87, 48)( 30, 65,218,112)( 31,246, 98,213)( 34, 99,165,265)
10630        ( 35,241)( 36,198,161, 89)( 37,269)( 38,251, 42,271)( 39, 75,260,193)
10631        ( 41,176,192, 57)( 43,183, 91,171)( 44,116,173,102)( 45,197,119, 73)
10632        ( 46,238,124,162)( 49,178, 83,274)( 51,174,244,100)( 52,129)
10633        ( 54,153,217,151)( 55,272,136,237)( 56,257,154,121)( 62,175,219,215)
10634        ( 63,106, 66,259)( 64,159,210,194)( 68,258,221,234)( 69,261,134,155)
10635        ( 70,164,211,266)( 71,262)( 72,189,114,222)( 74,177,256,135)
10636        ( 79,226,267,202)( 80, 96,120,239)( 86,132,216,160)( 88,117,231,109)
10637        ( 92,201,111,276)( 93,101,115,166)( 94,253)( 97,142,270,110)
10638        (105,243,212,225)(107,141,230,249)(113,139)(122,170,126,207)
10639        (125,163,184,158)(127,145,206,149)(140,273)(143,248,247,195)(144,180)
10640        (147,250,182,187)(152,232,208,191)(186,235,233,275) ] ],
10641[ 4, 244823040, 1, "2", [ [ 44, 1 ], [ 231, 1 ] ], 1, "M_24",
10642  [ "Spor", "M(24)", 1 ],
10643  [ (  1, 19)(  2,124)(  3,127)(  5, 16)(  6,121)(  7, 70)(  8, 73)(  9,133)
10644        ( 10, 67)( 11, 32)( 12, 35)( 13,129)( 14, 29)( 15, 75)( 18,122)
10645        ( 20, 68)( 21, 30)( 22, 95)( 23, 98)( 24,135)( 25, 92)( 26,104)
10646        ( 27,100)( 28, 93)( 31,126)( 33, 72)( 36, 97)( 37,157)( 38,160)
10647        ( 39,170)( 40,154)( 41,166)( 42,162)( 43,155)( 44,168)( 45,159)
10648        ( 46,140)( 47,143)( 48,153)( 49,137)( 50,149)( 51,145)( 52,138)
10649        ( 53,151)( 54,142)( 55,171)( 56,194)( 57,197)( 58,207)( 59,191)
10650        ( 60,203)( 61,199)( 62,192)( 63,205)( 64,196)( 65,209)( 66,208)
10651        ( 69,125)( 74, 96)( 76,158)( 77,141)( 78,195)( 79,109)( 80,112)
10652        ( 81,136)( 82,106)( 83,118)( 84,114)( 85,107)( 86,120)( 87,111)
10653        ( 88,169)( 89,152)( 90,206)( 91,110)( 94,128)(101,161)(102,144)
10654        (103,198)(105,113)(108,134)(115,167)(116,150)(117,204)(130,156)
10655        (131,139)(132,193)(146,164)(148,201)(165,200)(172,257)(173,260)
10656        (174,270)(175,254)(176,266)(177,262)(178,255)(179,268)(180,259)
10657        (181,272)(182,271)(183,274)(184,258)(185,269)(186,261)(187,267)
10658        (188,256)(189,264)(190,263)(210,265)(211,235)(212,238)(213,248)
10659        (214,232)(215,244)(216,240)(217,233)(218,246)(219,237)(220,250)
10660        (221,249)(222,252)(223,236)(224,247)(225,239)(226,245)(227,234)
10661        (228,242)(229,241)(230,276)(231,243)(251,275),
10662      (  1,194, 84)(  2, 32, 97)(  3,199,105)(  4, 14, 11)(  5,196, 79)
10663        (  6, 34, 92)(  7,140, 42)(  8,208, 88)(  9,145,101)( 10,142, 37)
10664        ( 12,191, 82)( 13, 29, 95)( 15,137, 40)( 16, 19, 21)( 17,197, 85)
10665        ( 18, 35, 98)( 20,143, 43)( 22, 25, 27)( 23,198, 86)( 24, 36, 99)
10666        ( 26,144, 44)( 30,205, 81)( 31,100, 94)( 33,151, 39)( 38,195,150)
10667        ( 41,141,146)( 45, 96,139)( 46, 49, 51)( 47,201, 89)( 48, 54,102)
10668        ( 50,147, 55)( 56, 59, 61)( 57,202, 90)( 58, 64,103)( 60,148, 65)
10669        ( 67,124,111)( 68,207,119)( 69,129,120)( 70,126,106)( 71,153,115)
10670        ( 72,121,109)( 73,127,112)( 74,128,113)( 75,135,108)( 76,125,152)
10671        ( 77,131,116)( 78,132,117)( 80,192,204)( 83,138,200)( 87, 93,193)
10672        ( 91,122,206)(104,123,114)(107,203,134)(110,149,130)(118,133,136)
10673        (154,257,237)(155,274,245)(156,262,246)(157,259,232)(158,271,241)
10674        (159,254,235)(160,260,238)(161,261,239)(162,268,234)(163,258,249)
10675        (164,264,242)(165,265,243)(166,270,247)(167,255,252)(168,256,240)
10676        (169,266,248)(170,269,244)(171,263,236)(172,175,177)(173,210,185)
10677        (174,180,186)(176,189,181)(184,188,187)(190,273,251)(209,267,233)
10678        (211,214,216)(212,231,224)(213,219,225)(215,228,220)(223,227,226)
10679        (229,275,253)(250,272,276) ] ],
10680[ 5, 310224200866619719680000, 1, "2", [ [ 44, 1 ], [ 231, 1 ] ], 1,
10681  "Alt(24)", [ "A", 24, 1 ],
10682  [ (  1,197,172,273, 68,200,111,196)(  2,  4,234,182, 63,143,208,221)
10683        (  3,120,218, 35,193, 48,195, 99)(  5, 44, 73,203,167, 32,173,151)
10684        (  6,144,113,275,106, 77,122,201)(  7, 76,204,114)(  8, 80,243,246)
10685        (  9,163,211, 27, 66,258,134,110)( 10,118)( 11, 58,179,107,154, 96,
10686         261, 67)( 12,100,102,185, 47, 59,148,112)( 13,141, 22,272, 61, 19,
10687          78,166)( 14, 46,191,216)( 15,168)( 16,189,198,177,119,239,124,222)
10688        ( 17,199, 45,220, 37,205, 69, 65)( 18, 57, 28,212, 70,155, 88, 74)
10689        ( 20,194,251,237, 40, 50,268,162)( 21,225,226,245,132,236,228,224)
10690        ( 23, 95,165,160, 79, 71,115, 92)( 25,137,253, 86,108,187,266,181)
10691        ( 26,104,135,262, 90,223, 91,232)( 29, 75,140,274, 85, 41,238,105)
10692        ( 30, 36,241,267, 33, 97,271,259)( 31,230,138,192, 39, 83,190,244)
10693        ( 34,257,127,252, 98,116,178,103)( 38,131,213,136, 42,219,215,133)
10694        ( 43,161,250,206, 64,147,263, 55)( 49,125,276,264, 51,233,188,231)
10695        ( 52, 84,265,149, 56,158,176,207)( 53,180, 60,186)( 54, 93,229,142)
10696        ( 62,139, 82,242)( 72,169,123,159)( 81,150,146,227,156,171,101,157)
10697        ( 87,174,240,170,121,255,256,128)( 89,109, 94,153,129,117,270,248)
10698        (126,254,214,235,210,260,269,152)(145,202,247,249,175,183,184,209)
10699        (164,217), (  1,209,170,110, 20,206, 72, 12, 90,235,222,  6,156,196,
10700           2)(  3,169,101,195,121,251,199, 38,  7, 95,152,242, 71,104,112)
10701        (  4,197,147,248, 70,154,106, 47, 62,139, 82,252,131,175,221)
10702        (  5, 59,124,246,  9,150,134, 99, 25,125,264, 79, 54, 83,177)
10703        (  8,100,102,160, 89,108,149, 63, 16,189,173,151, 11, 66,227)
10704        ( 10,129, 86, 34,269,115, 92, 19, 87,162, 48,145,163,186, 61, 18, 57,
10705          21,232, 44, 73,216, 29, 50,240,182,144,113,272, 53,130,117,273, 98,
10706         116,191,203,155, 77,159,120,236,241,274, 67, 28,224, 52,192, 46,178,
10707         114, 41,247,188,218, 36,228,212, 45,253, 75,128, 14, 39, 93,190,207,
10708          43,136, 24, 49,137,270,263, 88, 65, 33, 23, 76,165,185,109, 84,259,
10709          35,194,215,133, 37,179,141, 27,142, 32,198,138,205, 97,250,168, 64,
10710         172,238,105)( 13,107, 96,276,256, 94,166)( 15,219,202,244, 31,204,
10711         103, 55,119,214,243,210,255,225,201)( 17,237, 60,211, 78,153,118)
10712        ( 22,275, 58,140,267, 69, 74)( 26,217,164,230,126,245,143,184,234,158,
10713         176,261, 85, 40,167)( 30, 42,181, 56,157,132,231)( 51,266,193, 81,
10714         260,257,127,229,180, 68,262, 80,223, 91,220)(111,208,171,123,122,226,
10715         268,174,249,254,239,148,135,233,200)(146,213,161,271,265,187,258) ]
10716 ],
10717[ 6, 620448401733239439360000, 0, "2", [ [ 44, 1 ], [ 231, 1 ] ], 1,
10718  "Sym(24)", [ "A", 24, 1 ],
10719  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
10720          91,101,111,122,133,145)(  4,  6,  8, 11, 14, 18, 22, 27, 32, 38, 44,
10721         51, 58, 66, 74, 83, 92,102,112,123,134,146,158,157)(  9, 12, 15, 19,
10722          23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,124,135,147,159,
10723         171,170,182)( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104,
10724         114,125,136,148,160,172,184,183,195,207)( 25, 30, 35, 41, 47, 54, 61,
10725         69, 77, 86, 95,105,115,126,137,149,161,173,185,197,196,208,220,232)
10726        ( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,138,150,162,174,186,
10727         198,210,209,221,233,244,253)( 49, 56, 63, 71, 79, 88, 97,107,117,128,
10728         139,151,163,175,187,199,211,223,222,234,245,254,261,267)
10729        ( 64, 72, 80, 89, 98,108,118,129,140,152,164,176,188,200,212,224,236,
10730         235,246,255,262,268,272,275)( 81, 90, 99,109,119,130,141,153,165,177,
10731         189,201,213,225,237,219,231,243,252,260,266,271,274,276)
10732        (100,110,120,131,142,154,166,178,190,202,214,226,238,247,194,206,218,
10733         230,242,251,259,265,270,273)(121,132,143,155,167,179,191,203,215,227,
10734         239,248,256,169,181,193,205,217,229,241,250,258,264,269)
10735        (144,156,168,180,192,204,216,228,240,249,257,263),
10736      (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
10737        ( 90,100)(110,121)(132,144)(145,157)(156,169)(158,170)(171,183)
10738        (181,194)(184,196)(197,209)(206,219)(210,222)(223,235)(231,236) ] ],
10739[7, Factorial(276)/2,1,"2",[[275,1]],274, "Alt(276)", ["A",276, 1], "Alt"],
10740[8, Factorial(276),0,"2",[[275, 1]],276, "Sym(276)", ["A",276, 1], "Sym"]];
10741PRIMGRP[277]:=
10742[[1, Factorial(277)/2,1,"2",[[276,1]],275, "Alt(277)", ["A",277, 1], "Alt"],
10743[2, Factorial(277),0,"2",[[276, 1]],277, "Sym(277)", ["A",277, 1], "Sym"],
10744[ 3, 277, 3, "1", [ [ 1, 276 ] ], 1, "C(277)", [ "Z", 277, 1 ], [  ] ],
10745[ 4, 554, 2, "1", [ [ 2, 138 ] ], 1, "D(2*277)", [ "Z", 277, 1 ],
10746  [ [ [ Z(277)^138 ] ] ] ],
10747[ 5, 831, 2, "1", [ [ 3, 92 ] ], 1, "277:3", [ "Z", 277, 1 ],
10748  [ [ [ Z(277)^92 ] ] ] ],
10749[ 6, 1108, 2, "1", [ [ 4, 69 ] ], 1, "277:4", [ "Z", 277, 1 ],
10750  [ [ [ Z(277)^69 ] ] ] ],
10751[ 7, 1662, 2, "1", [ [ 6, 46 ] ], 1, "277:6", [ "Z", 277, 1 ],
10752  [ [ [ Z(277)^46 ] ] ] ],
10753[ 8, 3324, 2, "1", [ [ 12, 23 ] ], 1, "277:12", [ "Z", 277, 1 ],
10754  [ [ [ Z(277)^23 ] ] ] ],
10755[ 9, 6371, 2, "1", [ [ 23, 12 ] ], 1, "277:23", [ "Z", 277, 1 ],
10756  [ [ [ Z(277)^12 ] ] ] ],
10757[ 10, 12742, 2, "1", [ [ 46, 6 ] ], 1, "277:46", [ "Z", 277, 1 ],
10758  [ [ [ Z(277)^6 ] ] ] ],
10759[ 11, 19113, 2, "1", [ [ 69, 4 ] ], 1, "277:69", [ "Z", 277, 1 ],
10760  [ [ [ Z(277)^4 ] ] ] ],
10761[ 12, 25484, 2, "1", [ [ 92, 3 ] ], 1, "277:92", [ "Z", 277, 1 ],
10762  [ [ [ Z(277)^3 ] ] ] ],
10763[ 13, 38226, 2, "1", [ [ 138, 2 ] ], 1, "277:138", [ "Z", 277, 1 ],
10764  [ [ [ Z(277)^2 ] ] ] ],
10765[ 14, 76452, 2, "1", [ [ 276, 1 ] ], 2, "AGL(1, 277)", [ "Z", 277, 1 ],
10766  [ [ [ Z(277) ] ] ] ]];
10767PRIMGRP[278]:=
10768[[ 1, 10626828, 1, "2", [ [ 277, 1 ] ], 2, "PSL(2, 277)",
10769  [ "L", [ 2, 277 ], 1 ], "psl" ],
10770[ 2, 21253656, 0, "2", [ [ 277, 1 ] ], 3, "PGL(2, 277)",
10771  [ "L", [ 2, 277 ], 1 ], "pgl" ],
10772[3, Factorial(278)/2,1,"2",[[277,1]],276, "Alt(278)", ["A",278, 1], "Alt"],
10773[4, Factorial(278),0,"2",[[277, 1]],278, "Sym(278)", ["A",278, 1], "Sym"]];
10774PRIMGRP[279]:=
10775[[1, Factorial(279)/2,1,"2",[[278,1]],277, "Alt(279)", ["A",279, 1], "Alt"],
10776[2, Factorial(279),0,"2",[[278, 1]],279, "Sym(279)", ["A",279, 1], "Sym"]];
10777PRIMGRP[280]:=
10778[[ 1, 181440, 1, "2", [ [ 36, 1 ], [ 27, 1 ], [ 162, 1 ], [ 54, 1 ] ], 1,
10779  "Alt(9)", [ "A", 9, 1 ],
10780  [ (  1,276,  8, 96)(  2,211,135,240)(  3,229,266,274)(  4,163,239, 65)
10781        (  5,252,177,232)(  6, 70,184,183)(  7,139, 35,273)(  9,152,197,236)
10782        ( 10,151,261, 45)( 11,190,167,267)( 12,219,168,138)( 13, 41)
10783        ( 14, 67, 51,111)( 15, 99, 23,110)( 16, 29,123,148)( 17,235,105,247)
10784        ( 18,140,119,258)( 19,164, 77,253)( 20,115,180, 54)( 21,275,101,137)
10785        ( 22,255,120, 95)( 24, 27)( 25, 97, 31,155)( 26,226,109, 58)
10786        ( 28,234,147, 52)( 30, 81,200,195)( 32,206,228, 37)( 33,246,230, 56)
10787        ( 34,118,132,149)( 36,162,131,157)( 38,225,117,254)( 39,179,154, 85)
10788        ( 40,227, 75, 68)( 42,144,209,270)( 43,171,214,173)( 44,272,153,196)
10789        ( 46,279, 74,188)( 47, 79,265, 78)( 48,250,201,277)( 49,203,205, 86)
10790        ( 50,175, 88,161)( 53, 94,256,116)( 55,257,241,238)( 57,102,185,199)
10791        ( 59,212,160,159)( 60,100,242,158)( 61,243,248,191)( 62,178, 90,128)
10792        ( 63,280,169,172)( 64,222,108,208)( 66,263)( 69,262,156,125)
10793        ( 71,278,223,136)( 72,221,129,207)( 73,215)( 76,107, 98,192)
10794        ( 80,104,220,231)( 82, 89,260,130)( 83,193)( 87,150,244,134)
10795        ( 91,202,174,187)( 92,127,198,269)( 93,218,142,124)(103,268,176,141)
10796        (106,189,182,204)(112,237,259,114)(113,213,143,245)(121,251)
10797        (126,233,210,133)(145,271)(146,186,181,165)(166,224,249,264)(170,216)
10798        (194,217), (  1,144,268)(  2, 64,233)(  3,164,199)(  4,209,242)
10799        (  5, 90,245)(  6,273,210)(  7,211,176)(  8, 46,150)(  9,252,239)
10800        ( 11, 84,272)( 12, 39,140)( 13,154,101)( 14,172, 88)( 15,240,264)
10801        ( 16, 94, 48)( 17, 33,142)( 18, 74,106)( 19, 59, 42)( 20,125,228)
10802        ( 21,162,109)( 22, 96,168)( 23,196,274)( 24,276, 68)( 25,182,266)
10803        ( 27,241, 66)( 28,217, 93)( 29,230, 73)( 30,255, 91)( 31,127,249)
10804        ( 32, 34,174)( 35,187,223)( 36,226,108)( 37,205,181)( 38,189,258)
10805        ( 40,188,161)( 41,257, 43)( 45,267,135)( 47,219,153)( 49, 87,229)
10806        ( 50,116,102)( 51,221,129)( 52,111, 81)( 53,178,243)( 54,236,126)
10807        ( 55,169,105)( 56,214, 83)( 57,248,146)( 58,107,280)( 60,160, 89)
10808        ( 61,198,179)( 62,256, 77)( 63,147,246)( 65,220,123)( 67,118,104)
10809        ( 69, 72,143)( 70,247,113)( 71,100,175)( 75,251,269)( 76,201, 79)
10810        ( 78,110,133)( 80,184,279)( 82,128,222)( 85,192,278)( 86,232,177)
10811        ( 92,259, 99)( 95,250,275)( 97,141,167)( 98,156,237)(103,163,124)
10812        (112,122,202)(114,145,134)(115,253,195)(117,193,157)(119,151,218)
10813        (121,136,231)(131,224,152)(132,265,170)(138,200,263)(139,244,225)
10814        (148,238,216)(149,166,212)(155,190,234)(158,171,235)(159,183,206)
10815        (173,185,270)(186,204,227)(191,260,197)(203,213,261)(207,254,271)
10816        (215,262,277) ] ],
10817[ 2, 362880, 0, "2", [ [ 36, 1 ], [ 27, 1 ], [ 162, 1 ], [ 54, 1 ] ], 1,
10818  "Sym(9)", [ "A", 9, 1 ],
10819  [ (  1,  2,  4,  7, 12, 20, 30, 42, 41)(  3,  6, 10, 17, 26, 37, 52, 74,105)
10820        (  5,  9, 15, 23, 34, 48, 67, 95,135)(  8, 14, 22, 33, 47, 65, 92,131,
10821         179)( 11, 19, 29, 40, 57, 81,116,161,206)( 13, 21, 32, 45, 62, 87,
10822         124,169,213)( 16, 25, 35, 50, 70,100,141,189, 53)( 18, 28, 39, 56,
10823          79,113,156,180,225)( 24, 31, 44, 60, 84, 71,102,144,191)
10824        ( 27, 38, 54, 76,108,149,170, 43, 59)( 36, 51, 72)( 46, 64, 90,128,
10825         175,140,188,235,193)( 49, 69, 98,139,123,145, 61, 86,122)
10826        ( 55, 78,111,153,199,224, 75,107,148)( 58, 83,119,165,209,248,268,264,
10827         275)( 63, 89,127,173,216,253,150,195,215)( 66, 94,134,183,229,109,
10828         151,196,217)( 68, 97,138,186, 77,110,152,197,219)( 73,104,106,147,
10829         166,204,242,174,218)( 80,115,159,203,125,171,142,190,162)
10830        ( 82,118,164,208,247,101,143,136,184)( 85,121,103,146,192,236,198,239,
10831         255)( 88,126,172,214,252,269,267,274,279)( 91,130,178,222,168,212,
10832         187,234,251)( 93,133,182,227,249,270,278,238,263)( 96,137,185,210,
10833         160,205,243,176,220)(112,155,132,181,226,117,163,207,246)
10834        (114,158,202,230,259,154,200,240,257)(120,167,211,250,232,244,245,223,
10835         256)(129,177,221,254,271,262,233,261,273)(157,201,228,258,266,277,
10836         280,194,237)(231,260,272)(241,265,276),
10837      (  1,  3)(  2,  5)(  4,  8)(  6, 11)(  7, 13)(  9, 16)( 10, 18)( 15, 24)
10838        ( 17, 27)( 20, 31)( 21, 33)( 25, 36)( 29, 41)( 30, 43)( 32, 46)
10839        ( 34, 49)( 37, 53)( 38, 55)( 42, 58)( 44, 61)( 45, 63)( 47, 66)
10840        ( 48, 68)( 50, 71)( 51, 73)( 52, 75)( 54, 77)( 56, 80)( 57, 82)
10841        ( 60, 85)( 62, 88)( 64, 91)( 65, 93)( 67, 96)( 69, 99)( 70,101)
10842        ( 72,103)( 74,106)( 76,109)( 78,112)( 79,114)( 81,117)( 84,120)
10843        ( 86,123)( 87,125)( 90,129)( 92,132)( 95,136)( 98,140)(100,142)
10844        (102,145)(108,150)(110,118)(111,154)(113,157)(115,160)(116,162)
10845        (119,166)(122,168)(124,170)(127,174)(128,176)(130,135)(131,180)
10846        (134,153)(138,141)(139,187)(144,169)(146,193)(147,194)(152,198)
10847        (159,204)(164,189)(165,210)(172,215)(173,217)(175,219)(178,223)
10848        (179,224)(182,228)(183,230)(184,231)(185,232)(186,233)(191,235)
10849        (192,216)(195,238)(201,241)(205,244)(206,245)(209,249)(211,251)
10850        (214,250)(221,255)(222,247)(226,229)(227,257)(234,254)(236,262)
10851        (239,264)(242,266)(246,267)(248,269)(261,274)(272,273) ] ],
10852[ 3, 20160, 1, "2", [ [ 72, 3 ], [ 18, 3 ], [ 9, 1 ] ], 1, "PSL(3, 4)",
10853  [ "L", [ 3, 4 ], 1 ],
10854  [ (  2, 55)(  3,183)(  4, 71)(  5,245)(  6,146)(  8,165)(  9,267)( 10,228)
10855        ( 11,150)( 12,188)( 13,109)( 14, 84)( 16,200)( 17,162)( 18,220)
10856        ( 19, 29)( 20, 27)( 21,142)( 22,140)( 23,136)( 24,277)( 25, 91)
10857        ( 26,137)( 28,265)( 30,168)( 31,201)( 32,152)( 33,270)( 34,210)
10858        ( 35,122)( 36,174)( 37,279)( 38,221)( 39,255)( 40, 56)( 41,214)
10859        ( 42,278)( 43,167)( 44,159)( 45,219)( 46,129)( 47,163)( 48,139)
10860        ( 49,182)( 50, 77)( 51, 87)( 52,141)( 53, 66)( 54,192)( 57, 65)
10861        ( 58, 94)( 59,264)( 60,260)( 61,275)( 62,148)( 63,170)( 64, 80)
10862        ( 67,117)( 68, 72)( 69,195)( 70,103)( 73,258)( 74,217)( 75,108)
10863        ( 76,145)( 78,156)( 79,226)( 81,178)( 82, 96)( 83,154)( 85,107)
10864        ( 86,133)( 88,244)( 89,101)( 90,246)( 92,207)( 93,194)( 95,262)
10865        ( 97,212)( 98,185)( 99,225)(100,257)(102,160)(104,184)(105,143)
10866        (106,149)(110,191)(111,113)(112,131)(115,273)(116,208)(118,261)
10867        (119,190)(120,134)(121,280)(123,248)(124,241)(125,155)(126,236)
10868        (127,186)(128,211)(130,259)(132,153)(135,181)(138,147)(144,240)
10869        (151,213)(157,179)(158,204)(161,234)(169,202)(171,215)(172,256)
10870        (173,224)(175,189)(176,199)(177,209)(180,274)(187,230)(193,218)
10871        (196,216)(197,249)(198,263)(203,243)(205,269)(206,247)(223,242)
10872        (227,268)(229,253)(231,238)(232,239)(233,251)(235,250)(237,254)
10873        (252,266)(271,272), (  1,264, 55, 57)(  2, 27,241,117)(  3, 63, 50,274
10874         )(  4,226,142,277)(  5, 22, 73, 45)(  7, 40, 91, 20)(  8,250,195,187)
10875        (  9,147, 37,194)( 10,239,114,251)( 11,242,266,191)( 12, 38,205,253)
10876        ( 13,126, 18,240)( 14,192,137,200)( 15,220, 71, 66)( 17,202, 68,225)
10877        ( 19,101,154,184)( 21,174)( 23,160, 87,210)( 24,141,121, 48)
10878        ( 25,263, 86,181)( 26,103,215, 30)( 28, 84,238,278)( 29,271,245,193)
10879        ( 31,259,207,144)( 32, 93, 78,216)( 33, 53,196,140)( 34,120,269, 43)
10880        ( 35,235,131,130)( 36,145,248,135)( 39,254, 83,276)( 41,270,102, 58)
10881        ( 42,229,203,189)( 44,267,172,162)( 46, 76,208,232)( 47, 74,143,272)
10882        ( 49,280, 95,159)( 51,105,218, 65)( 52,106,268,237)( 54,178,164,175)
10883        ( 56,209,167,156)( 59,111,128,224)( 60,168,234,165)( 61,185,100,152)
10884        ( 62,183, 82,150)( 64,236,104,230)( 67,123,134,222)( 69,198,158,233)
10885        ( 70, 85,204,279)( 72,170,107,125)( 75,258,221,255)( 77,256,261, 79)
10886        ( 80,116,179,180)( 81,249,108, 98)( 88, 90,206,127)( 89, 97,151,257)
10887        ( 92,212,115,247)( 94, 99,138,166)( 96,119,110,112)(109,113,219,199)
10888        (118,213,252,157)(122,231,260,227)(129,171,155,243)(132,228,148,146)
10889        (133,149)(136,273,217,182)(139,244,265,275)(153,190,223,161)
10890        (163,176,211,246)(173,197,186,177)(188,201,214,262) ] ],
10891[ 4, 40320, 0, "2", [ [ 144, 1 ], [ 36, 1 ], [ 72, 1 ], [ 18, 1 ], [ 9, 1 ] ],
10892  1, "PSL(3, 4).2", [ "L", [ 3, 4 ], 1 ],
10893  [ (  1,246)(  2,209)(  3,198)(  4,244)(  5,101)(  6,239)(  8, 19)(  9,255)
10894        ( 10,248)( 11,161)( 12,166)( 13,252)( 14, 68)( 15, 45)( 16,138)
10895        ( 17,175)( 18,116)( 20, 21)( 22,126)( 23,216)( 24,267)( 25,158)
10896        ( 26, 80)( 27,264)( 28, 70)( 29,197)( 30,194)( 31,230)( 32, 98)
10897        ( 33,193)( 34,222)( 35,154)( 36,208)( 37,249)( 38, 81)( 39,226)
10898        ( 40,135)( 41, 42)( 43, 61)( 44,103)( 47,128)( 48, 84)( 49,260)
10899        ( 50, 85)( 52,220)( 53,164)( 54, 78)( 55,272)( 56,201)( 57,124)
10900        ( 58,167)( 59,273)( 60,232)( 62,130)( 63,110)( 64,118)( 65,211)
10901        ( 66,133)( 67,263)( 71,271)( 72,233)( 73,254)( 74,218)( 75,240)
10902        ( 76,215)( 77,121)( 79, 96)( 82,227)( 83,174)( 86,114)( 87,100)
10903        ( 88,105)( 89,159)( 90,188)( 91,156)( 92,280)( 93,270)( 94,137)
10904        ( 95,106)( 97,104)( 99,258)(102,205)(107,250)(108,120)(109,182)
10905        (112,150)(113,276)(115,214)(119,228)(122,141)(125,189)(127,144)
10906        (129,172)(131,236)(134,149)(136,185)(139,259)(140,203)(142,278)
10907        (143,177)(145,181)(146,266)(147,192)(148,251)(151,217)(152,212)
10908        (153,256)(155,225)(157,223)(160,163)(162,237)(165,242)(168,213)
10909        (169,178)(170,238)(171,187)(173,253)(176,224)(179,279)(180,207)
10910        (184,196)(186,262)(191,231)(195,257)(199,221)(200,204)(202,229)
10911        (206,245)(210,219)(234,243)(235,274)(241,269)(247,265)(261,275)
10912        (268,277), (  1, 87, 43,224)(  2, 82, 86,158)(  3,233,125, 56)
10913        (  4,214,150, 36)(  6, 18,168,189)(  7, 44, 28, 45)(  8,147,208,142)
10914        (  9, 64,252,209)( 10, 33, 35,165)( 11,190,107,171)( 12, 77,211,122)
10915        ( 13, 78,269, 29)( 14,131,263,144)( 15, 80,251, 95)( 16,212,137,256)
10916        ( 17,262, 42,111)( 19, 74,160, 51)( 20,206,178, 94)( 21,179,235,106)
10917        ( 22, 67, 49,199)( 23, 92,220, 85)( 24,104,225, 62)( 25,143, 30, 53)
10918        ( 26,255,102, 59)( 27,258,272, 88)( 31,237,188,172)( 32, 71,100,231)
10919        ( 34,183, 79,244)( 37, 48,216,204)( 38,196)( 39, 63,128,123)
10920        ( 41,191,185,114)( 46,221,280,243)( 47, 91,167,248)( 50,110,260,135)
10921        ( 52,132, 54,126)( 55,129,174,242)( 57,197, 66, 68)( 58,115,117, 81)
10922        ( 60,152,118,105)( 61,232,230,276)( 65,164,257,203)( 69, 99,192,116)
10923        ( 70,239,161,134)( 72,207,202,238)( 73,247,130,229)( 75,169,141,205)
10924        ( 76,266,162,101)( 83,146,138,170)( 84,193,267,275)( 89,194,198,271)
10925        ( 90,109,173,249)( 93,151,273,140)( 96,157,153,136)( 97,127,215,154)
10926        ( 98,254,133,119)(103,227,213,113)(108,228,180,261)(112,187,278,210)
10927        (121,124,184,246)(139,217,236,241)(145,253,240,176)(148,250,223,186)
10928        (149,195,175,274)(155,218,259,226)(156,277,200,270)(159,265,222,245)
10929        (163,181)(166,264,279,201)(177,182,268,234) ] ],
10930[ 5, 40320, 0, "2", [ [ 36, 1 ], [ 72, 3 ], [ 18, 1 ], [ 9, 1 ] ], 1,
10931  "PSL(3, 4).2", [ "L", [ 3, 4 ], 1 ],
10932  [ (  1, 95)(  2, 54)(  3,171)(  4,213)(  5, 30)(  6,275)(  7,269)(  8, 38)
10933        (  9,122)( 10,211)( 12,153)( 13, 19)( 14,240)( 15,229)( 16, 41)
10934        ( 17, 27)( 18,259)( 20,173)( 21,198)( 22,183)( 23,127)( 24,126)
10935        ( 26, 67)( 28, 71)( 29,112)( 31, 87)( 32,264)( 33,260)( 34,128)
10936        ( 36,197)( 37,192)( 39, 66)( 40,215)( 43,217)( 44, 91)( 45,160)
10937        ( 46,147)( 47,210)( 49,150)( 50,144)( 51,274)( 53,129)( 55,143)
10938        ( 56,145)( 57,113)( 58,230)( 59, 98)( 60,100)( 61,181)( 62,193)
10939        ( 63,119)( 64,107)( 65,162)( 68,200)( 69,223)( 70,202)( 72,257)
10940        ( 73,178)( 74,105)( 75,218)( 76,280)( 77,176)( 78,175)( 79,254)
10941        ( 80,139)( 81,134)( 82,267)( 83,268)( 84,169)( 86,170)( 88,219)
10942        ( 89,188)( 90,247)( 92,154)( 93,186)( 94,106)( 99,124)(101,221)
10943        (102,244)(103,199)(108,216)(109,194)(110,209)(111,272)(115,243)
10944        (117,196)(118,195)(121,140)(123,227)(125,165)(130,172)(131,136)
10945        (132,155)(133,277)(137,148)(138,189)(141,182)(142,161)(149,187)
10946        (151,265)(152,201)(156,255)(157,190)(158,205)(159,212)(163,203)
10947        (164,208)(166,278)(167,279)(177,225)(179,236)(180,185)(184,245)
10948        (191,246)(204,222)(206,241)(207,232)(214,270)(224,271)(228,273)
10949        (231,248)(235,249)(237,251)(238,239)(252,253)(266,276),
10950      (  1,171, 32,  8)(  2,244,237,112)(  3, 16,252, 51)(  4,130,192,113)
10951        (  5,115,  7,144)(  6,263, 29, 64)(  9,128,117, 55)( 10,197, 11,124)
10952        ( 12, 62,126,238)( 13,277,243,220)( 14, 23,140,270)( 15, 76,193, 20)
10953        ( 17, 75,213, 63)( 18,235,195,160)( 19, 89, 50, 40)( 21,178,136, 95)
10954        ( 22,257,103,135)( 24,172, 69, 30)( 25,236,228,127)( 26,101,280,275)
10955        ( 27,145,161,234)( 28,155,219,240)( 31,133,173, 83)( 33, 73,142,183)
10956        ( 34,104, 49,279)( 35,199, 43,210)( 36,179,166,212)( 37,259,190,253)
10957        ( 38,110, 92,256)( 41, 82,221,109)( 42,184, 79,119)( 44,209, 45,276)
10958        ( 46,129,189,205)( 47,203,264, 96)( 48,139,165,215)( 52, 67, 66,247)
10959        ( 53,232,223,151)( 54,182,138,176)( 56, 98, 61, 57)( 58,137, 93,153)
10960        ( 59,168, 78,191)( 60,225, 97,248)( 65,134,106, 80)( 68,111,122,229)
10961        ( 70,216, 84, 87)( 71,227,147,278)( 72,226,167,268)( 74, 99,164,202)
10962        ( 77, 94,146,272)( 81,107,230,100)( 85,258,181,266)( 86,150,261, 91)
10963        ( 88,141,251,242)( 90,206,108,267)(102,207,274,214)(105,116,241,201)
10964        (114,269,255,175)(118,204,154,231)(120,121,198,132)(123,157,169,260)
10965        (125,265,273,159)(131,170,233,246)(143,158,249,148)(149,194,185,271)
10966        (156,250,163,180)(162,254,239,211)(174,217)(177,245)(186,208,188,224)
10967        (187,200,262,196) ] ],
10968[ 6, 40320, 0, "2", [ [ 144, 1 ], [ 72, 1 ], [ 18, 3 ], [ 9, 1 ] ], 1,
10969  "PSL(3, 4).2", [ "L", [ 3, 4 ], 1 ],
10970  [ (  1, 92)(  2,268)(  3,189)(  4, 55)(  5,243)(  6,114)(  7,165)(  8,235)
10971        (  9,161)( 10, 95)( 12, 89)( 13,199)( 14, 28)( 15, 41)( 16,122)
10972        ( 17,151)( 18,201)( 19,221)( 20,260)( 21,175)( 22,167)( 23,102)
10973        ( 24, 43)( 25,128)( 26,261)( 27, 91)( 30, 42)( 31, 84)( 32, 77)
10974        ( 33, 66)( 34, 64)( 35,125)( 36,203)( 37, 73)( 39,193)( 40,173)
10975        ( 44,132)( 45,110)( 46,271)( 47,121)( 48, 90)( 49,217)( 50,222)
10976        ( 51,123)( 52,209)( 53,109)( 54,244)( 56,187)( 57, 97)( 58,129)
10977        ( 59,259)( 60,253)( 61,251)( 62,278)( 63,194)( 65,220)( 68,227)
10978        ( 69,103)( 70,157)( 71,111)( 72,267)( 74,141)( 75, 93)( 76,155)
10979        ( 78,196)( 79,117)( 80,119)( 81,127)( 82,223)( 83,185)( 85,178)
10980        ( 86,206)( 87,126)( 94,182)( 96,190)( 98,158)( 99,106)(100,172)
10981        (101,257)(104,177)(105,237)(107,116)(108,276)(112,234)(113,131)
10982        (115,135)(118,169)(120,160)(124,181)(130,200)(133,147)(134,180)
10983        (136,174)(137,238)(138,168)(139,246)(140,229)(142,210)(143,145)
10984        (146,239)(148,233)(149,186)(150,195)(152,207)(153,208)(154,224)
10985        (156,249)(159,225)(163,236)(164,170)(166,215)(171,250)(176,198)
10986        (183,242)(184,272)(188,231)(191,230)(192,226)(202,256)(204,219)
10987        (205,270)(211,277)(212,262)(213,218)(214,232)(216,240)(228,265)
10988        (241,248)(245,266)(247,275)(252,274)(254,264)(258,269)(263,279)
10989        (273,280), (  1,243, 15, 55, 52,168)(  2,275,222,120, 93,246)
10990        (  3, 51,225,142,177,220)(  4, 57, 39, 70,264, 50)(  5,219,272,124,
10991         211,193)(  6,150,172, 73,278,223)(  7,111,216,205, 65, 67)
10992        (  8,239, 19, 68,156,260)(  9,187,269,230, 60,207)( 10, 80,256, 43,
10993         200,126)( 11, 87,132,254, 54,133)( 12,209, 40,159, 27,143)
10994        ( 13,206,105,135,158,178)( 14,149,128,226,148,249)( 16,169,147, 22,
10995          45, 42)( 17, 78,176,185,199,265)( 18,122, 79,184, 36,181)
10996        ( 20,242,170, 62,179,238)( 21,138, 66,146,197,110)( 23,268,137, 59,
10997         165,276)( 24, 77,227,121,255,196)( 25,224,217,101, 99, 76)
10998        ( 26,119,123,162,195,190)( 28, 88, 32, 38,136,267)( 29,113, 69,125,
10999         215,232)( 30,235,139,134,114,161)( 31, 89,186, 35,213,160)
11000        ( 33, 84, 44,258, 74,163)( 34, 41,144, 97, 81,167)( 37,214,157,115,
11001          85,259)( 46, 61,250, 90,234,129)( 47,253,192, 49,245,262)
11002        ( 48,203,194)( 53, 75, 86,240,154,145)( 56,116,229,151,274,236)
11003        ( 58,228,237,218,174,202)( 63,182,180,188,233,279)( 64,273,127)
11004        ( 71, 98,277,171,164,266)( 72,103,175,280,244,166)( 82,251, 91, 95,
11005         118,107)( 83, 96, 94,204,106,270)( 92,131,100,189,257,155)
11006        (102,173,247,210,108,104)(109,271,261,153,183,231)(112,248,117,152,
11007         221,252)(130,140,201,241,263,191)(198,212,208) ] ],
11008[ 7, 60480, 0, "2", [ [ 72, 3 ], [ 9, 1 ], [ 54, 1 ] ], 1, "PSL(3, 4).3",
11009  [ "L", [ 3, 4 ], 1 ],
11010  [ (  1, 89)(  2, 75)(  3,129)(  4, 29)(  5, 19)(  6,234)(  7, 87)(  8,179)
11011        (  9,221)( 10,235)( 11, 92)( 12, 88)( 13, 49)( 14, 47)( 15, 51)
11012        ( 16,132)( 17, 64)( 18,152)( 20, 45)( 21,100)( 22, 25)( 23,138)
11013        ( 24,116)( 26,265)( 27,142)( 28, 43)( 30,253)( 31, 46)( 32,110)
11014        ( 33,122)( 34, 59)( 35,135)( 36,180)( 37,106)( 38,160)( 39,130)
11015        ( 40,256)( 41,111)( 42, 69)( 44, 66)( 48,267)( 50,216)( 52, 76)
11016        ( 53,149)( 54, 98)( 56,241)( 57,270)( 58,103)( 60, 81)( 61,188)
11017        ( 62,230)( 63, 72)( 65,181)( 67,248)( 68,161)( 70,197)( 71,246)
11018        ( 73,244)( 74,266)( 77,147)( 78,243)( 79,201)( 80,133)( 82,263)
11019        ( 83,194)( 84,231)( 85,190)( 86,262)( 90,245)( 91,205)( 93,228)
11020        ( 94,206)( 95,162)( 96,126)( 97,238)( 99,175)(101,164)(102,139)
11021        (104,280)(105,186)(107,200)(109,213)(112,268)(114,261)(115,222)
11022        (117,229)(118,166)(119,153)(120,157)(121,193)(123,168)(124,204)
11023        (125,155)(127,189)(128,218)(131,274)(134,271)(136,196)(137,254)
11024        (140,199)(141,185)(143,225)(145,192)(146,170)(148,259)(150,252)
11025        (151,169)(154,250)(156,171)(158,172)(159,279)(163,212)(165,272)
11026        (167,237)(173,236)(174,227)(176,269)(178,277)(182,202)(183,226)
11027        (184,211)(187,255)(191,232)(198,224)(203,251)(207,217)(208,260)
11028        (209,240)(210,264)(215,233)(219,257)(220,239)(223,242)(247,249)
11029        (258,275)(273,276), (  1,172, 16)(  2,198, 31)(  3,209,230)
11030        (  4, 60,221)(  5,191,122)(  6,276, 97)(  7, 57,124)(  8,123, 19)
11031        (  9,181, 59)( 10,257,146)( 11, 69,161)( 12, 66,216)( 13,208, 26)
11032        ( 14, 58,125)( 15,179,174)( 17,175, 51)( 18,116,132)( 20,197, 34)
11033        ( 21,222, 29)( 22,154,165)( 23,133,166)( 24, 47,107)( 25, 81,243)
11034        ( 27, 67,269)( 30,229, 43)( 32,280, 96)( 33, 62,127)( 35,126,242)
11035        ( 36,252, 80)( 37,135, 39)( 38,158,234)( 40,249,226)( 41,106,217)
11036        ( 42,151, 95)( 44,200,173)( 45, 83,279)( 46,137, 94)( 48,238,265)
11037        ( 49,278,206)( 50,177,210)( 52,251,184)( 53,134,205)( 54,160, 77)
11038        ( 55,256,207)( 56, 72,277)( 61,202,194)( 63,254,212)( 64,111,118)
11039        ( 65,171, 91)( 68,189,167)( 71,157, 75)( 73,110,152)( 74,274,237)
11040        ( 76, 88,182)( 78,121,163)( 79, 92, 98)( 82,186,159)( 84,247,170)
11041        ( 85,219,143)( 86,178, 87)( 89,262,227)( 90,270,155)( 93,188,225)
11042        ( 99,136,214)(100,169,114)(101,141,231)(102,149,164)(103,253,204)
11043        (104,113,239)(105,215,109)(108,203,213)(112,190,150)(115,185,258)
11044        (120,168,140)(128,267,250)(129,246,138)(130,193,144)(131,236,183)
11045        (142,260,245)(145,255,273)(147,275,176)(148,220,196)(153,272,180)
11046        (156,187,211)(162,235,218)(192,224,261)(195,248,266)(199,232,244)
11047        (201,268,233)(223,271,240)(241,263,264) ] ],
11048[ 8, 80640, 0, "2", [ [ 144, 1 ], [ 36, 1 ], [ 72, 1 ], [ 18, 1 ], [ 9, 1 ] ],
11049  1, "PSL(3, 4).2^2", [ "L", [ 3, 4 ], 1 ],
11050  [ (  1, 77)(  2,255)(  4, 82)(  5, 28)(  6,237)(  8, 87)(  9,244)( 10,197)
11051        ( 11,146)( 12,235)( 13,118)( 14, 73)( 15,103)( 16, 78)( 17, 27)
11052        ( 18,136)( 19,195)( 20, 61)( 21, 26)( 22,266)( 23,152)( 24, 33)
11053        ( 25,114)( 29,228)( 30, 71)( 31, 38)( 32,124)( 34,206)( 35,104)
11054        ( 36,211)( 37,129)( 39,277)( 40,187)( 41,175)( 42,258)( 43,214)
11055        ( 44,222)( 45,245)( 46,170)( 48,261)( 49,161)( 50,280)( 51,191)
11056        ( 53,192)( 54,156)( 55,105)( 56,134)( 57,196)( 58,252)( 59,203)
11057        ( 60,167)( 62,254)( 63,190)( 64,232)( 65,141)( 66,133)( 67,198)
11058        ( 68,189)( 69,231)( 72,236)( 74,143)( 75,224)( 76,144)( 79,193)
11059        ( 80,115)( 81,145)( 84, 94)( 85,250)( 86,147)( 89,247)( 90,188)
11060        ( 91,204)( 92,180)( 95,176)( 96,168)( 97,116)( 98,163)( 99,264)
11061        (100,279)(102,122)(106,169)(107,207)(109,225)(110,123)(112,273)
11062        (113,117)(119,157)(120,262)(121,166)(125,130)(126,260)(127,201)
11063        (128,241)(131,259)(132,238)(137,148)(138,200)(139,243)(140,278)
11064        (142,150)(149,215)(153,249)(154,185)(155,239)(158,164)(160,184)
11065        (162,182)(165,172)(173,181)(174,220)(177,194)(178,240)(179,257)
11066        (183,276)(199,229)(205,208)(209,227)(213,267)(217,270)(218,271)
11067        (223,248)(230,253)(233,234)(242,256)(246,274)(251,275),
11068      (  1,265,174,270, 22,254)(  2,155,136,240,147,125)(  3, 79,256,215, 78,
11069         204)(  4,178,219,180,128,275)(  5,149, 57)(  6,143,132,171,141,231)
11070        (  7,201,218,267,106,173)(  8,195,278,271,105, 99)(  9,208, 31,247,
11071         206,117)( 10,188, 69,244,194,111)( 11,154,248, 30, 93,266)
11072        ( 12,104,112, 27,260, 90)( 13,103, 74, 14, 96, 36)( 15,224,245,116,
11073          98, 67)( 16,225,146, 18,121,150)( 17, 37,221,257,205, 76)
11074        ( 19,169,216,228,137, 24)( 20,163,108,191,100,261)( 21,166, 45,152,
11075          55, 84)( 23, 49, 71, 81, 28,250)( 25,183,272,110,202, 86)
11076        ( 26,124, 50,148, 53, 48)( 29,126, 87,253, 52, 60)( 32,243, 70,255,
11077         140, 82)( 33,115,211,144,192,273)( 34, 68, 56,122,235, 72)
11078        ( 35,274,167,101, 43,176)( 38,280,129, 51,263, 66)( 39, 89,109,182,
11079         164,230)( 40,237,160,159,187,138)( 41,158, 80, 42,162,241)
11080        ( 44,262, 54,199,142,102)( 46,269, 64,213,239,120)( 47,165,168,227,
11081         258, 62)( 58,226,277,139,123,197)( 59,234, 83,181,172,170)
11082        ( 61,114, 95,217,210,203)( 63,212,145,251,190,127)( 65,222,185,177,
11083         193,276)( 73,156,264,252,133,118)( 75,119,107)( 77,179,223,113,200,
11084         186)( 85,207,184,232,161,189)( 88,131,229,157, 97,130)
11085        ( 91,259, 94,233,220,236)( 92,249,151,268,198,238)(134,196,175,153,
11086         214,242)(135,279,246) ] ],
11087[ 9, 120960, 0, "2", [ [ 144, 1 ], [ 72, 1 ], [ 9, 1 ], [ 54, 1 ] ], 1,
11088  "PSL(3, 4).Sym(3)", [ "L", [ 3, 4 ], 1 ],
11089  [ (  1,269)(  2,171)(  3, 75)(  4,243)(  5,236)(  6,201)(  7, 89)(  8, 37)
11090        (  9,124)( 11,189)( 12,140)( 13,142)( 14,205)( 15,247)( 16,116)
11091        ( 17,278)( 18,147)( 19,257)( 20,279)( 21,167)( 22,130)( 23,234)
11092        ( 24,175)( 25,165)( 26, 43)( 27,195)( 28,198)( 29, 80)( 30,224)
11093        ( 31,106)( 32,208)( 33,186)( 34, 70)( 35,216)( 36,235)( 38,245)
11094        ( 39,276)( 40, 63)( 41, 48)( 44,139)( 45, 60)( 46, 84)( 47,164)
11095        ( 50,104)( 51,188)( 52,144)( 53,179)( 54,252)( 55,263)( 56,211)
11096        ( 57,151)( 58,128)( 59,202)( 61,246)( 62,203)( 64,121)( 65,212)
11097        ( 66,115)( 67,237)( 68,215)( 69,258)( 71,173)( 72,149)( 73,112)
11098        ( 74, 82)( 76,280)( 77,131)( 78,267)( 79,251)( 81,184)( 83,209)
11099        ( 86,231)( 87, 90)( 88,166)( 91,178)( 92,200)( 93,122)( 94,229)
11100        ( 95,274)( 96,143)( 97,132)( 98,230)( 99,260)(101,210)(102,204)
11101        (103,206)(105,126)(107,185)(108,135)(109,183)(110,158)(111,261)
11102        (113,148)(114,272)(117,169)(118,219)(119,154)(120,242)(123,194)
11103        (125,174)(127,146)(129,271)(133,273)(134,192)(137,214)(138,233)
11104        (141,232)(150,255)(152,170)(153,180)(155,220)(157,256)(159,181)
11105        (161,187)(162,191)(163,182)(168,225)(172,227)(177,226)(190,250)
11106        (193,207)(196,259)(197,241)(199,249)(213,266)(217,254)(218,253)
11107        (221,264)(222,277)(223,262)(228,244)(238,239)(240,268)(248,275)
11108        (265,270), (  1,262,135)(  2, 74,210)(  3,  5, 89)(  4,206, 79)
11109        (  6,275, 61)(  7,252,261)(  8,149,235)(  9,109,129)( 10,243,246)
11110        ( 11,132, 76)( 12,173,221)( 13,175,208)( 14, 98,216)( 15, 42,138)
11111        ( 16,230, 30)( 18,232,163)( 19,118,204)( 20,106,197)( 21,199, 88)
11112        ( 22,104,271)( 23,166,158)( 24,107,144)( 25,151,105)( 26, 51, 70)
11113        ( 27, 94,141)( 28, 47,130)( 29, 69, 78)( 31, 45,178)( 32,185,137)
11114        ( 33,121,182)( 34,217,228)( 35,276,205)( 36,270, 40)( 37,209, 55)
11115        ( 39,122,229)( 43,256,227)( 44, 92, 99)( 46, 82,112)( 48,180,236)
11116        ( 49,200, 58)( 50, 84, 87)( 52,272,145)( 53,194,195)( 54,233,268)
11117        ( 56,249, 57)( 59,179, 81)( 60,125,214)( 62,244,161)( 63,142,240)
11118        ( 64,148,102)( 65,183,184)( 66,136,278)( 67,190,258)( 68,162,111)
11119        ( 71,110,259)( 72,224,155)( 73, 75,157)( 80,108,277)( 83,247,237)
11120        ( 85,202,126)( 86,263,274)( 90,203,124)( 91,265,273)( 93,223,156)
11121        ( 95,146,181)( 96,186,269)( 97,248,143)(100,140,168)(101,280,150)
11122        (103,218,196)(113,260,188)(115,159,231)(116,127,222)(117,133,234)
11123        (119,120,169)(123,167,220)(128,251,238)(131,255,267)(134,176,219)
11124        (139,201,160)(147,266,242)(153,171,250)(154,225,212)(164,253,189)
11125        (165,187,245)(170,198,264)(172,207,191)(174,257,215)(177,279,241)
11126        (192,226,213)(211,254,239) ] ],
11127[ 10, 120960, 0, "2", [ [ 72, 3 ], [ 9, 1 ], [ 54, 1 ] ], 1,
11128  "PSL(3, 4).Sym(3)", [ "L", [ 3, 4 ], 1 ],
11129  [ (  1, 62)(  2,153)(  3,236)(  4,107)(  5, 18)(  6,139)(  7,242)(  8, 30)
11130        (  9,161)( 10, 52)( 11,144)( 12, 39)( 13, 45)( 14,230)( 15, 37)
11131        ( 16,234)( 17,260)( 19, 53)( 20,151)( 21, 60)( 22,102)( 23,167)
11132        ( 24,214)( 25,132)( 26,152)( 27,194)( 28,191)( 31,249)( 32,103)
11133        ( 33, 64)( 34, 66)( 35, 71)( 38,255)( 40,233)( 41, 73)( 42,235)
11134        ( 43,232)( 44,128)( 46,176)( 47,121)( 48, 82)( 49,115)( 50,118)
11135        ( 51,136)( 54,119)( 55,116)( 56,196)( 57,143)( 58,181)( 59,219)
11136        ( 63, 91)( 65,140)( 67,179)( 68,164)( 69, 77)( 70,182)( 74,134)
11137        ( 75,172)( 76,147)( 78,187)( 79,160)( 80,244)( 81,105)( 84,156)
11138        ( 85,192)( 86,146)( 87,104)( 89,193)( 90,223)( 92,278)( 93,100)
11139        ( 94,157)( 95,209)( 96,113)( 97,145)( 98,158)( 99,248)(101,213)
11140        (106,241)(108,154)(109,221)(110,199)(111,125)(112,122)(114,246)
11141        (117,120)(123,174)(124,129)(126,177)(127,237)(131,190)(133,155)
11142        (135,217)(137,252)(138,212)(141,180)(148,173)(149,265)(150,171)
11143        (163,189)(165,183)(168,262)(169,222)(170,227)(175,253)(178,226)
11144        (184,247)(186,228)(188,264)(195,250)(198,271)(201,243)(204,259)
11145        (206,239)(207,261)(208,268)(211,269)(218,257)(220,229)(224,276)
11146        (231,254)(238,274)(245,280)(258,277)(266,273)(272,275),
11147      (  1,125,163)(  2,242,183)(  3,200,199)(  4, 76, 30)(  5, 58, 88)
11148        (  6,131, 84)(  7,240, 96)(  8,102,253)(  9,246,215)( 10,174,109)
11149        ( 11, 16,206)( 12,222,172)( 13,158, 75)( 14,161,256)( 15, 95,105)
11150        ( 17, 38,152)( 18,262,214)( 19,103,111)( 20,100,233)( 21, 89, 49)
11151        ( 22,258, 36)( 23,157,175)( 24,107,144)( 25, 42,146)( 26,234,259)
11152        ( 27,108, 93)( 28, 47,130)( 29,229, 99)( 31,143,128)( 32,226,211)
11153        ( 33, 37,278)( 34,169,139)( 35,250,263)( 39, 44, 69)( 40,271,190)
11154        ( 41,114, 77)( 43,216,244)( 45, 97,251)( 46,124,165)( 48,241,176)
11155        ( 50, 61,267)( 51,117, 71)( 52,264,194)( 53,145,198)( 54,197,168)
11156        ( 55,136,182)( 56,113,159)( 57,188,115)( 60,232,135)( 62,227, 98)
11157        ( 63,186,252)( 64,189,149)( 65,210,266)( 66,121,209)( 67,270,104)
11158        ( 68,118,218)( 70,133,110)( 72,212,150)( 73,208,166)( 74,147,184)
11159        ( 78,122, 92)( 79,132,230)( 80,156,141)( 82, 90,187)( 83,202, 91)
11160        ( 85,273,237)( 86,205,171)( 87,275,255)( 94,277,223)(101,224,154)
11161        (106,140,268)(112,203,245)(116,207,173)(119,201,217)(120,160,228)
11162        (126,265,247)(127,191,221)(129,243,257)(134,236,279)(137,192,239)
11163        (138,181,151)(142,269,261)(148,164,235)(153,274,276)(155,225,280)
11164        (162,204,196)(170,195,272)(177,219,180)(178,248,238)(185,213,254)
11165        (231,249,260) ] ],
11166[ 11, 120960, 0, "2", [ [ 144, 1 ], [ 72, 1 ], [ 9, 1 ], [ 54, 1 ] ], 1,
11167  "PSL(3, 4).6", [ "L", [ 3, 4 ], 1 ],
11168  [ (  1,213)(  2, 45)(  3,175)(  4,249)(  5,209)(  6, 39)(  7,136)(  8, 37)
11169        (  9,135)( 10,100)( 11,105)( 12,234)( 13,170)( 14,261)( 15,207)
11170        ( 16, 31)( 18,206)( 19, 92)( 20,127)( 21, 46)( 22,240)( 23, 90)
11171        ( 24,117)( 25,197)( 26,220)( 27,191)( 28, 65)( 29, 77)( 30,277)
11172        ( 33,245)( 34,134)( 36, 74)( 38,151)( 40,115)( 41,146)( 42,228)
11173        ( 43,154)( 44,185)( 47, 98)( 48,182)( 49,276)( 50,114)( 51,158)
11174        ( 52, 82)( 53,203)( 54,188)( 55,202)( 56,101)( 57,229)( 58,205)
11175        ( 59,244)( 60, 88)( 61,260)( 62,133)( 63,142)( 64,119)( 66,215)
11176        ( 67,125)( 68, 86)( 69,132)( 70,186)( 71,236)( 73, 75)( 76,116)
11177        ( 78,106)( 79,224)( 80,180)( 81,251)( 83,103)( 84,273)( 85,257)
11178        ( 87, 97)( 89,212)( 91,181)( 93,235)( 94,102)( 95,143)( 96,108)
11179        ( 99,137)(104,164)(107,247)(109,141)(110,195)(111,148)(112,262)
11180        (118,204)(120,279)(121,123)(122,280)(124,230)(126,140)(129,258)
11181        (130,149)(131,179)(138,241)(139,184)(144,267)(145,172)(147,159)
11182        (150,268)(152,239)(153,167)(155,275)(156,256)(157,200)(160,198)
11183        (161,173)(162,214)(163,233)(165,242)(166,266)(168,264)(169,226)
11184        (171,210)(174,183)(176,263)(177,199)(178,187)(189,271)(190,217)
11185        (192,219)(193,222)(194,250)(196,238)(201,227)(208,216)(211,265)
11186        (218,221)(223,243)(225,278)(231,259)(246,252)(248,254)(269,270)
11187        (272,274), (  1,170,158)(  2,191,162)(  3,279, 74)(  4, 48, 20)
11188        (  5,204, 87)(  6,116,272)(  7,197, 36)(  8,141, 25)(  9,142,113)
11189        ( 10, 52,269)( 11,223,212)( 12,182,241)( 13, 79,192)( 14,107,126)
11190        ( 15, 68, 99)( 16,270, 24)( 17, 41,252)( 18,133,185)( 19,138,264)
11191        ( 21, 55, 93)( 22,100,243)( 23, 67,105)( 26,228, 80)( 27,221,178)
11192        ( 28,278,131)( 29,134,111)( 30,154, 54)( 31,166,206)( 32, 50,205)
11193        ( 33,149,267)( 34,157,202)( 35, 39,140)( 37,203,176)( 38, 66, 51)
11194        ( 40, 43,261)( 42,274, 92)( 44, 84,190)( 45,227,200)( 46, 69,144)
11195        ( 47,258, 63)( 49, 97,171)( 53,164,146)( 56,224,130)( 57,244,139)
11196        ( 58,214, 78)( 59,160,147)( 60, 96,218)( 61,265,177)( 62,248,247)
11197        ( 64,173,226)( 65,128,155)( 70,104,222)( 72,143,271)( 73,234, 82)
11198        ( 75,273,120)( 76,189,220)( 77,199,208)( 81,122,183)( 83, 95, 90)
11199        ( 85,254,268)( 88,245,231)( 89,219,174)( 91,216,255)( 94,108,114)
11200        ( 98,250,110)(101,181,225)(102,165,262)(103,188,123)(106,246,239)
11201        (109,187,233)(112,198,237)(115,196,201)(117,127,251)(118,163,184)
11202        (119,277,153)(121,259,238)(124,193,159)(125,257,150)(129,209,280)
11203        (135,175,194)(136,169,210)(137,232,260)(145,186,266)(148,151,217)
11204        (152,179,168)(156,249,180)(161,167,276)(172,275,236)(207,240,230)
11205        (211,242,256)(213,215,253) ] ],
11206[ 12, 241920, 0, "2", [ [ 144, 1 ], [ 72, 1 ], [ 9, 1 ], [ 54, 1 ] ], 1,
11207  "PSL(3, 4).D_12", [ "L", [ 3, 4 ], 1 ],
11208  [ (  1,  2)(  3, 11)(  4, 15)(  5, 19)(  6, 10)(  7, 25)(  8, 30)(  9, 17)
11209        ( 12, 41)( 13, 45)( 14, 42)( 16, 54)( 18, 53)( 20, 67)( 21, 71)
11210        ( 22, 66)( 23, 74)( 24, 79)( 26, 84)( 27, 56)( 28, 48)( 29, 83)
11211        ( 31, 95)( 32, 98)( 33, 94)( 34,102)( 35, 60)( 37,107)( 38,108)
11212        ( 39, 73)( 40, 43)( 44,121)( 46,125)( 47,128)( 49,115)( 50,118)
11213        ( 51,136)( 52,139)( 55,124)( 57,143)( 58,147)( 59, 65)( 61, 88)
11214        ( 62,153)( 63,155)( 64,157)( 68, 85)( 69,165)( 70,168)( 72,162)
11215        ( 75,178)( 76,181)( 77,183)( 78,177)( 80,184)( 81,189)( 82,191)
11216        ( 87,193)( 89,104)( 90,199)( 91,133)( 92,201)( 93,138)( 96,148)
11217        ( 97,206)( 99,169)(100,212)(101,213)(103,158)(105,163)(109,220)
11218        (110,223)(111,176)(112,122)(113,173)(114,228)(116,129)(117,120)
11219        (119,234)(123,174)(126,187)(127,224)(130,240)(131,190)(132,242)
11220        (134,167)(135,198)(137,171)(140,219)(141,227)(144,236)(145,239)
11221        (149,254)(150,252)(151,179)(152,156)(154,255)(159,256)(160,214)
11222        (161,260)(164,192)(166,225)(170,180)(172,226)(175,253)(182,262)
11223        (185,197)(186,246)(188,269)(194,196)(195,204)(203,215)(205,210)
11224        (207,273)(208,274)(209,249)(211,264)(216,270)(217,271)(218,272)
11225        (221,229)(222,248)(230,235)(231,265)(232,233)(237,276)(238,268)
11226        (243,278)(244,247)(245,258)(250,259)(251,263)(257,275)(261,266)
11227        (267,279)(277,280), (  1,  3, 12, 42)(  2,  7, 26, 85)(  4, 16, 55,122
11228         )(  5, 20, 68,147)(  6, 23, 75, 15)(  8, 31, 10, 36)(  9, 25, 78,186)
11229        ( 11, 38, 88,197)( 13, 46, 18, 61)( 14, 48,130, 83)( 17, 58,148,253)
11230        ( 19, 63,136,245)( 21, 72, 54,141)( 22, 73,109,172)( 24, 80, 39,110)
11231        ( 27, 51,137,246)( 28, 90,200,185)( 30, 92,189, 89)( 32, 99,208,158)
11232        ( 33, 44, 66,132)( 34,103,215,127)( 35,104,216,108)( 37, 53,100,167)
11233        ( 40,113,206,150)( 41,114,102, 93)( 43,119,193, 45)( 47,105,116,213)
11234        ( 49,134,117,231)( 50,135, 76, 52)( 56,140,248,207)( 57,145,142,223)
11235        ( 59, 70,169,120)( 60,151,129,233)( 62,154,214,247)( 64, 69,166, 81)
11236        ( 65,159,257,242)( 67,162,255,179)( 71,170,138,181)( 74,175,267,244)
11237        ( 77,106,153, 98)( 79,188,217,180)( 82, 97,143,210)( 84, 95,203,235)
11238        ( 86,195,173,131)( 87,146,211,219)( 91,123,238,139)( 94,202,163,262)
11239        ( 96,205,272,264)(101,183,220,225)(107,218,121,237)(111,164,168,124)
11240        (112,226,228,263)(115,155,209,222)(118,160,259,157)(125,177,240,276)
11241        (126,239,277,204)(128,196,149,161)(133,243,260,227)(152,187,229,241)
11242        (156,250,198,269)(165,261,178,268)(171,176,258,249)(174,266,221,194)
11243        (182,256,236,212)(184,254,190,270)(191,230)(192,265,279,234)
11244        (199,271,201,251)(224,232,275,278)(252,274),
11245      (  1,  4)(  2,  8)(  3, 13)(  5, 17)(  6, 18)(  7, 27)(  9, 32)( 10, 33)
11246        ( 11, 39)( 12, 43)( 14, 47)( 15, 51)( 16, 56)( 19, 64)( 20, 69)
11247        ( 21, 59)( 22, 60)( 23, 76)( 24, 62)( 25, 81)( 26, 86)( 28, 88)
11248        ( 29, 89)( 30, 79)( 31, 96)( 34,100)( 35, 98)( 36, 82)( 37,101)
11249        ( 38,109)( 40,112)( 41,115)( 42, 45)( 44,120)( 46,126)( 48,131)
11250        ( 49,129)( 50,128)( 52,138)( 53,103)( 54,135)( 55,144)( 57,104)
11251        ( 58,149)( 61,143)( 63,156)( 65,158)( 66,157)( 67,148)( 68,163)
11252        ( 70,167)( 71, 94)( 72,171)( 73,118)( 74,176)( 75,179)( 77,147)
11253        ( 78,182)( 80,127)( 83,190)( 84,192)( 85,194)( 87,142)( 90,165)
11254        ( 91,198)( 92,130)( 93,140)( 95,114)( 97,178)( 99,209)(105,155)
11255        (106,164)(108,177)(110,221)(111,222)(113,195)(116,230)(117,124)
11256        (119,196)(121,232)(122,235)(123,236)(125,186)(132,241)(133,189)
11257        (134,223)(136,153)(137,247)(141,150)(145,231)(146,217)(151,187)
11258        (152,234)(154,183)(159,258)(160,213)(161,212)(162,261)(166,244)
11259        (168,173)(169,255)(170,207)(172,181)(174,233)(175,240)(180,263)
11260        (184,251)(185,252)(188,225)(191,193)(197,237)(199,228)(201,253)
11261        (202,243)(203,211)(204,229)(205,224)(206,246)(210,273)(215,227)
11262        (216,218)(220,239)(226,250)(238,277)(242,271)(245,272)(248,259)
11263        (249,254)(256,268)(262,265)(264,276)(266,269)(267,274)(270,280)
11264        (275,279), (  1,  5, 21)(  2,  9, 34)(  3, 14, 49)(  4, 17, 59)
11265        (  6, 24, 22)(  7, 28, 85)(  8, 32,100)( 10, 37, 35)( 11, 40, 50)
11266        ( 12, 44,122)( 13, 47,129)( 15, 52, 71)( 16, 57,146)( 18, 62, 60)
11267        ( 19, 65,160)( 20, 70,137)( 23, 77,184)( 25, 82,155)( 26, 61,152)
11268        ( 27, 88,194)( 29, 63, 91)( 30, 93,103)( 31, 97,207)( 33,101, 98)
11269        ( 36,105, 81)( 38,110,224)( 39,112,128)( 41,116,123)( 42,117,232)
11270        ( 43,120,235)( 45,124,121)( 46,127, 90)( 48,132,133)( 51,138, 94)
11271        ( 53, 79,140)( 54,142,119)( 55, 73,174)( 56,104,217)( 58,150, 67)
11272        ( 64,158,213)( 66,161,153)( 68,164, 83)( 69,167,247)( 72,172, 75)
11273        ( 74,134,197)( 76,147,251)( 78,187,185)( 80,165,126)( 84,193,271)
11274        ( 86,143,234)( 87,196,135)( 89,156,198)( 95,204,266)( 96,178,170)
11275        ( 99,210,248)(102,214,139)(106,190,163)(107,219,260)(108,154,166)
11276        (109,221,205)(111,125,225)(113,227,226)(114,229,269)(115,230,236)
11277        (118,233,144)(131,241,189)(136,157,212)(141,148,149)(145,249,261)
11278        (151,252,182)(159,238,274)(162,231,254)(168,263,262)(169,264,228)
11279        (171,181,179)(173,180,265)(175,253,202)(176,223,237)(177,183,244)
11280        (186,188,222)(191,242,192)(195,215,250)(199,255,276)(201,243,240)
11281        (203,239,206)(209,273,259)(211,220,246)(245,279,280)(258,277,267)
11282        (270,272,275), (  1,  6)(  2, 10)(  3, 11)(  4, 18)(  5, 22)(  7, 29)
11283        (  8, 33)(  9, 35)( 12, 41)( 13, 39)( 14, 50)( 15, 53)( 16, 57)
11284        ( 17, 60)( 19, 66)( 21, 24)( 23, 78)( 25, 83)( 26, 87)( 27, 89)
11285        ( 28, 91)( 30, 94)( 32, 98)( 34, 37)( 36,106)( 38,111)( 40, 49)
11286        ( 42,118)( 43,115)( 44,123)( 45, 73)( 46,127)( 47,128)( 48,133)
11287        ( 51,103)( 52,140)( 54,143)( 55,124)( 56,104)( 58,150)( 59, 62)
11288        ( 61,135)( 63, 85)( 64,157)( 65,153)( 68,155)( 70,137)( 71, 79)
11289        ( 72,173)( 74,177)( 75,180)( 76,182)( 77,185)( 80,126)( 81,190)
11290        ( 82,164)( 84,193)( 86,142)( 88,198)( 92,130)( 93,138)( 97,207)
11291        ( 99,211)(100,101)(102,107)(105,163)(108,176)(109,222)(110,225)
11292        (112,129)(113,162)(116,122)(117,144)(119,234)(120,236)(121,174)
11293        (125,224)(131,189)(134,244)(136,158)(139,219)(141,149)(145,250)
11294        (147,252)(151,251)(152,196)(154,237)(156,194)(159,238)(160,161)
11295        (166,223)(167,247)(168,171)(169,264)(170,178)(172,265)(175,253)
11296        (179,263)(181,262)(183,197)(184,187)(186,205)(188,221)(191,192)
11297        (195,261)(201,240)(203,209)(204,266)(206,273)(210,246)(212,213)
11298        (214,260)(215,249)(216,218)(220,248)(226,231)(227,254)(229,269)
11299        (230,235)(232,233)(239,259)(245,280)(255,276)(256,268)(258,277)
11300        (270,272) ] ],
11301[ 13, 3265920, 1, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3)",
11302  [ "2A", [ 3, 3 ], 1 ],
11303  [ (  1, 41,189, 99,122,219, 26)(  2, 55, 22,222, 18, 32,157)
11304        (  3,268,133, 88, 44,160,145)(  4,228, 29,174,211, 54, 53)
11305        (  5, 84, 87,266,271,273,243)(  6, 92,264,220, 86, 39, 17)
11306        (  7,139,255,106, 61,277, 64)(  8,185,186, 27,128, 65,209)
11307        (  9,207,102,229,129,278, 52)( 10, 72, 38,121,218, 96,156)
11308        ( 11,152,119,105, 56, 23,104)( 12,177, 69,241,165,163,190)
11309        ( 13,231,162,161,125,194,192)( 14, 62,224,111, 48, 15, 68)
11310        ( 16, 40,175,247,233,195,235)( 19, 80,178,227,226,262,169)
11311        ( 20,263, 98,214, 93, 45,116)( 21,248,144,143,140,172,142)
11312        ( 24,170,234,188, 42,182,187)( 25, 34,257,240, 91, 75,135)
11313        ( 28,223,232, 59, 63,176,203)( 30,204, 89, 74,275,148,150)
11314        ( 31,239, 81, 35, 82,130,237)( 33,167, 85,137,166,146, 51)
11315        ( 36, 47,245,147,238,254,210)( 37,164,267, 83,112,101,132)
11316        ( 43, 46,109,181,118,103,249)( 49,261,252, 90,206,200,180)
11317        ( 50,110,256,225, 57,131, 73)( 58,201, 71,171,151,196, 60)
11318        ( 66, 78,205,276,123,184,259)( 67, 94,251, 95,100,141,136)
11319        ( 70,115,250,149,244,168,183)( 76,159,120,253,126,230,193)
11320        ( 77,242,153,198,270,117,272)( 79,179,191,208,215,221,258)
11321        ( 97,134,138,216,212,213,158)(107,124,127,108,265,154,280)
11322        (113,274,236,260,197,279,269)(114,202,155,173,246,199,217),
11323      (  1,108,261,119,195, 72,122)(  2,143, 90,150,130,214,204)
11324        (  3,237, 76,105,  5, 82, 83)(  4,205,260, 38,153,139,249)
11325        (  6,189,138,169,243,254,141)(  7,223,273,115, 48,113,118)
11326        (  8,247,133,137,155, 58,152)(  9,251,278,120, 14,225, 35)
11327        ( 10,279,187,246,194,248,226)( 11,184,208,235, 87, 33,111)
11328        ( 12,202, 98, 91,232,199,255)( 13,167,140, 42,106,262,258)
11329        ( 15,121,241, 78, 20,163,210)( 16, 60,218, 39,135, 77, 30)
11330        ( 17, 49,200,158,116, 47,269)( 18,271, 59,277,227,197,166)
11331        ( 19,259,104,252,185, 95,144)( 21,183,102,231,201, 31, 24)
11332        ( 22,145, 81,228,245,234, 97)( 23,198,186,134,217, 51, 66)
11333        ( 25,127,275,177,109, 70,147)( 26,193,207, 64,196,280, 45)
11334        ( 27, 79, 96,181,242,157,268)( 28,266, 99,244, 89,250, 67)
11335        ( 29, 63,212,274, 65,124,176)( 32, 40, 86,256,192, 43,103)
11336        ( 34,240,168,164,131,238,114)( 36,191,179, 57,233, 61, 73)
11337        ( 37,211,264,172,146,263,215)( 41,151,265, 75,272,174, 62)
11338        ( 44, 54,188,182,180,162,257)( 46,142, 94,222,236, 53,206)
11339        ( 50,159,132,129,219,276,117)( 52, 92,173, 88,178,126, 84)
11340        ( 55,267,213,203,221,229,170)( 56,253,156,110, 80,107,165)
11341        ( 68,209, 74,149,100,125,154)( 69,160, 71,224,216,148,128)
11342        ( 85,175,123,136,171,230,270)( 93,161,112,220,239,190,101) ] ],
11343[ 14, 6531840, 0, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3).2",
11344  [ "2A", [ 3, 3 ], 1 ],
11345  [ (  1,142, 76,276,187, 52,192, 92)(  2, 78,158,124,189,140, 86, 32)
11346        (  3, 44,117, 22, 98,196,172, 11)(  4, 71, 35,259,  8,  5, 89, 75)
11347        (  6,257,  7,167,110,171,198,122)(  9,115, 23,133,208,131,135, 93)
11348        ( 10, 31,252,136, 45,191,146,165)( 12, 74,168,268,248,104,228, 40)
11349        ( 13,216, 25,238,116, 49,204,193)( 14,175, 59, 55,161, 54, 70,153)
11350        ( 15,265,156, 42,280, 79,188,273)( 16,271,197, 53, 72,256, 90,263)
11351        ( 17,227,155, 24,182,240,225,267)( 18,108,233,211,179,127,247, 95)
11352        ( 19,212,103,209, 66,132,180,190)( 20,203,166,102,147,154, 58, 91)
11353        ( 21,141,109, 73,101, 63,224,206)( 26,113,114,237, 69,149,260,178)
11354        ( 27,126,173, 87,144, 33,152, 43)( 28,138,201, 47,221, 30, 46,162)
11355        ( 29,213,279, 67,219,278, 60,269)( 34,264,123,262,254, 62,199, 96)
11356        ( 36, 80,277,163,220,207,249,183)( 37,186,261,210,118,170,121,134)
11357        ( 38, 41,125,105,145,139, 68, 61)( 39,119,232, 88,255,266,200, 94)
11358        ( 48, 82,148,150, 85, 56, 77,218)( 50,244,245,202,217,241,185,250)
11359        ( 51, 99,143,226,160,107,164,243)( 57,258, 97,112)( 64,235,231,222,
11360         223,214,234, 81)( 65,251, 83,242,128,195,177,246)(100,272,137,106,
11361         159,169,111,129)(120,239)(130,215,275,236,229,270,184,274)
11362        (151,205,176,253,230,181,194,174),
11363      (  1,187, 60,249, 68,158,186,276,279)(  2, 89,246, 39,193, 72,104,260,
11364         270, 96, 88,168, 91,261, 95,180,219, 93)(  3, 87,  7,201,109,113)
11365        (  4,185,154, 76,190,262,206, 23,268,132,245, 25,137,179,189,241,223,
11366         253)(  5, 56,107,234,110, 10, 81, 15,212,210, 31,106,226,199, 45,163,
11367         213,  8)(  6,243,142,162,195,105, 34,183,117,123,231,130, 85,248,181,
11368         122,222,172)(  9, 82, 48,169,191, 47)( 11, 84,271, 32, 40,258,250,
11369         121,255,217, 57,216,273,174,239,175,238,102)( 12, 71, 42,251,134,124)
11370        ( 13, 52,112,129, 37, 35,138,153, 74, 83,229,157, 99,230, 94, 21,152,
11371         103)( 14,139,225, 54, 64, 73,140, 30, 18,146, 19,164,202,135,244,156,
11372         101,209)( 16,155, 80,228,221,118,272,177, 44,211,143,236,242, 28,151,
11373         208,116,196)( 17, 69,100)( 20, 58, 75, 90,277, 51,227,160, 92)
11374        ( 22,207,194,144, 65, 55,178,148, 36, 50,274,263, 63,232,173,257, 33,
11375         267)( 24, 77, 29,200,214,233,150, 61, 49,220,126,114,128,131,266,218,
11376         205,256)( 26,259,166)( 27, 53, 66,161, 59,111,149,115,136,141,176,
11377          41,252, 70,192,198,235,165)( 38,108,127,159,147,275,197,182,145)
11378        ( 43, 46,203,280,269,120, 79,254,119,224, 98,204,278,265, 97, 67,167,
11379         247)( 62,240,264)( 78,215,171,188,133,237)(125,184,170) ] ],
11380[ 15, 6531840, 0, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3).2",
11381  [ "2A", [ 3, 3 ], 1 ],
11382  [ (  1, 84,102,259,159,174,135, 90, 21, 27,228,222,175, 37)(  2,261,119,  6,
11383         203,213, 56,136,133,113, 22,227, 36,278)(  3, 93,115,216,125, 38, 55,
11384         236, 12,257,160,121,153, 75)(  4, 18, 31,149,231,280, 79)
11385        (  5, 34,130,196,215, 42, 50, 92,171,  7,168,154,142,273)
11386        (  8,212,103, 76,143,258, 17, 86, 26,197, 99, 29,262,150)
11387        (  9,279,129,199,207,221,139,249, 13,232,214,217,239, 69)
11388        ( 10, 97,161,101,145,194,265,106,105, 91, 28,210, 65,268)
11389        ( 11,208,211,226,110,162, 35, 39, 59,243,180,253, 94,224)
11390        ( 14, 61, 96,164,165, 78,240)( 15, 49,176,163, 41,191,158, 40,234,114,
11391         77,132, 88,179)( 16, 64, 51, 47,144,127, 57)( 19,277,267,104,131,151,
11392         109, 60,173,250,195,269,112, 32)( 20,238,183, 80, 82,182,100,169,108,
11393         170,156,235,242,152)( 23,252, 81,141,271, 62, 54, 73,274, 70, 52,275,
11394         83,122)( 24,181, 43,118, 71, 72,244, 85, 45,220,245,148,193,200)
11395        ( 25,223,192,134, 63, 68, 48, 95,219,157, 44,188,184,146)
11396        ( 30,187,201,178,186,263,206,189,204,233, 89,172,137, 53)
11397        ( 33,225,198,229,276,237,124,246,205, 67,254,117, 46,247)
11398        ( 58,138, 66,251,270,116,230)( 74, 98,128,120,111, 87,147,166,202,260,
11399         107,185,123,218)(126,167,190,266,209,256,155,272,255,264,140,177,248,
11400         241), (  1, 62, 46,161,252,255,244, 67,223, 23,144, 38)
11401        (  2,212, 18,259, 48,154,101,196, 41,148,  6,256)(  3, 40,197, 50,258,
11402         272, 32,189,172, 15,266,132)(  4, 66,241,160,168,130,153,275,274, 71,
11403         152,245)(  5, 68,271, 64,107,105, 21, 10,254,  7, 42, 76)
11404        (  8,178,104,236,270, 81,251,140, 25, 88,182,134)(  9,219,203, 43,151,
11405         37,262,240,213,232, 85,192)( 11,205,230,165,142, 74,135,202,155,222,
11406         248,201)( 12, 35,170, 45, 92,253, 44, 24, 83,260,179,131)
11407        ( 13, 70,145)( 14,217, 30,273,113, 96,103,224,147,238,269,186)
11408        ( 16,190,159)( 17,226,123,106,237,122, 89,207, 86, 34, 61,162)
11409        ( 19,166,139, 87,261,102, 77,187,243, 79,193,267)( 20,117,249,250,180,
11410         57,211,173, 59,141, 49,221)( 22,164,169,198,225,210,216,194, 52,204,
11411         263,174)( 26,143,183,158,111,228,257,181,233,156,128,235)
11412        ( 27, 54,100,279, 56, 84, 69,280, 28,175,171,277)( 29,184,214, 95, 58,
11413         51,195,220, 90,185, 94,268)( 31,137,242,119,191, 65, 99,200,239, 72,
11414         121,265)( 36,127,109, 63, 53,199, 75, 97, 60,176,110, 98)
11415        ( 39,125,150,247,177,108,157,163,208,114,218,209)( 47, 78,278,124, 80,
11416         215,264,118,129,188,276, 91)( 55,149,115,246, 82,138,227,167,136,116,
11417         146,229)( 73,126,120,231)(112,133,234,206) ] ],
11418[ 16, 6531840, 0, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3).2",
11419  [ "2A", [ 3, 3 ], 1 ],
11420  [ (  1,171,112,238, 86,126, 14, 62, 67, 22)(  2, 40,205,101, 34,252,253,122,
11421         177, 72)(  3,170, 21,213, 60, 79, 19, 39,245,150)(  4, 41,236,235,
11422         164,145, 35,119,200,277)(  5,241, 61,152, 76, 90,232,153, 95,114)
11423        (  6, 87,139,146, 51,156,191, 38,237,231)(  7,193,220,248,165,128,227,
11424         173, 80,228)(  8,192,159, 94, 18,202, 23,229,141,102)
11425        (  9, 42,161, 46, 98,268, 10,117, 54,129)( 11,176,188,234,196,134,149,
11426         197,222, 96)( 12,189, 43,243,123,216,182,181,275, 55)
11427        ( 13, 47,271, 26,110, 36, 31, 53, 78,120)( 15,160,204,259,138,185,167,
11428         264, 77, 91)( 16, 32, 68,270, 28,209,256,107,135,258)
11429        ( 17, 93,273,166,179,246,265,223, 52,121)( 20,105,249,163, 70,274,224,
11430         157, 27, 82)( 24,131,174, 74,147,140,255, 88,278,261)
11431        ( 25,208,219,242,136)( 29,225, 58,215,206,103,125,203,108,183)
11432        ( 30, 45,280,162,226,124,116,137,186, 65)( 33, 48,109, 50,279,199,142,
11433         155,100,133)( 37,240,180, 84,195,113, 85, 97, 56,175)
11434        ( 44,111,158,244, 89,172, 49,106, 64,169)( 57,214,217,250,144,130,211,
11435         221,247,154)( 59,168,269, 99,239,143, 69, 73,212, 71)
11436        ( 63,267, 83,151,178)( 66,251,262,263, 92, 81,198,127,266,218)
11437        ( 75,233,254,187,190,207,194,184,132,201)(104,272,260,115,210,148,118,
11438         257,230,276), (  1, 60,100,213,235, 43, 97, 11)(  2,195,184,267,247,
11439         124, 98,245)(  3, 61,122,248,150,129, 94,169)(  4,113,146,101,260,
11440          75,275,130)(  5,226, 35,139, 54, 28,153,251)(  6, 17,198,164,141,
11441         111, 22,222)(  7,120,161,155, 62,160,237,214)(  8,162,244,138,259,
11442          95,277, 18)(  9, 24,102,149, 56,218,114,168)( 10,242,238, 92,174,
11443         263, 27, 25)( 12,103,276,119,261,175,181, 30)( 13,136,206,193,211,
11444         134, 37,179)( 14,239,265,187, 69,143,254,115)( 15,186,185, 23,209,
11445         240,252, 53)( 16,128, 89,212,196,165,194,145)( 19, 72,221,271,190,
11446         210,241,118)( 20,104,268,266, 33, 44,200,166)( 21,135, 66,227,217,
11447         121,167,197)( 26, 57,178,236,158,157,140,274)( 29,223, 36,142,199,
11448          67,171, 96)( 31, 51, 79,133, 42,192, 87,137)( 32, 50,173,189,108,
11449         208,229, 41)( 34,207, 63, 84,191,183,264,215)( 38,249,177,233,224,
11450         148, 45,127)( 39,147, 70, 74, 88, 68, 77, 65)( 40, 91,144, 59,117,
11451         228, 58,243)( 46,112,110,163, 86, 76,278,131)( 47,230, 55,170,232,
11452         234,132,154)( 48,182,202,159,250, 93, 85,270)( 49,172, 90,176,231,
11453         116,105,109)( 52,269,123,188,219,262, 64,220)( 71,125,256, 83,253,
11454          73,126,180)( 78, 80,273,258,201,225,279, 81)( 82,203,280,246,152,
11455         106,255,272)( 99,156)(107,257)(151,216,204,205) ] ],
11456[ 17, 13063680, 0, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3).2^2",
11457  [ "2A", [ 3, 3 ], 1 ],
11458  [ (  1, 43,261,143,265,162, 53, 25,199, 58, 49,104)(  2,267,169,138,266,270,
11459         257,123, 60,254, 22,168)(  3,234, 40,277,211,103, 27, 95,235, 70,251,
11460         33)(  4,155,209,124, 38,  7, 77,176,148,252,121, 11)(  5, 23, 16,183,
11461         224, 12, 93,269,264,231,128,279)(  6,167,268,197,221,114, 13, 55, 39,
11462         115,159,219)(  8,217,201,112,247,122, 36,184, 20,232, 97,185)
11463        (  9, 75,250,215,109, 44,228, 41,191,133,149,276)( 10, 14,150,130,174,
11464         84,245,212,156,220,160,249)( 15, 89, 26,262, 79,243, 30,146,242,140,
11465          52,163)( 17,271)( 18, 86,126,136,226,255, 74, 69,203,239,195,236)
11466        ( 19,223,145, 76,135, 45,233,154, 82,206, 54,278)( 21, 46,157,119, 47,
11467         161,218,142, 94,137,275,240)( 24,230, 65,227,105,152, 56,202,207, 87,
11468         193, 96)( 28, 72,273,204,208,186, 57,248, 48,132, 71,116)
11469        ( 29,190,256,259,120,263, 34,229,200,175, 61,144)( 31,274,131,166, 42,
11470         189,253,244,205, 32, 90,173)( 35,125,180,172, 91, 63,164,198,106,101,
11471         98, 99)( 37,108,117,237,139,258,194, 80,178,188, 67, 92)
11472        ( 50,165,129,102,153,171,179,182, 64,187,213, 78)( 51, 68,151,111)
11473        ( 59,196,238, 66,177,100)( 62, 85,246,134,110,210,272,181,222,158,107,
11474         81)( 73,241,280, 83,127,141,225,214,260, 88,113,170)(118,147,192,216)
11475        , (  1,  3,193, 68,182, 82,106,151,239, 50,265,241,225,197)
11476        (  2,245, 28,133,131,266,273,195,268,250,262,185, 71, 74)
11477        (  4, 13, 46,254, 16,220,213,134,184, 96, 72,124,171, 63)
11478        (  5,160,172,204,122,224,230,209, 90,232,235, 45, 66,153)
11479        (  6, 31, 22,279,269,263,166,127,259,251,118, 17,258,229)
11480        (  7, 29, 95,177,117,150,218,210,137, 15,181, 94,214,253)
11481        (  8,140,102, 84,231, 81,179,198,226,113, 99, 38,252,180)
11482        (  9, 67,202, 77,280,154,121,267,161,249, 93, 35, 80,272)
11483        ( 10, 27,188, 43,125,103,186)( 11,108,183, 40,187, 55, 19,264,256,216,
11484         276,217,135, 88)( 12,208,271,165,157,189,205,155,146,110,247,159, 73,
11485         207)( 14, 62,128,145,219, 91, 86,223,147,196, 56, 78,141, 52)
11486        ( 18,242,275,228, 65,236,138,255,163, 83, 79,278, 70,234)
11487        ( 20,257,105, 47, 23,101, 59,206,215,115,227,238, 98, 85)
11488        ( 21,109,200,148,114, 61,100,120,132,212,158, 37,175,107)
11489        ( 24, 42,142, 26,199, 54,261,173,139,201,243,111, 92,143)
11490        ( 25, 58, 76,116,240,156,144,162, 49,152,203,174, 97,167)
11491        ( 30,211,123,237, 87,277, 33,248, 89, 69, 64,233, 48, 75)
11492        ( 32,129, 53, 57,126,119,270)( 34, 41,169, 36, 60,104,190)
11493        ( 39,191,168, 51,136,164,260)( 44,130,178,221,112,246,222,149,194,244,
11494         274,170,176,192) ] ],
11495[ 18, 13063680, 0, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3).4",
11496  [ "2A", [ 3, 3 ], 1 ],
11497  [ (  1,  2, 16, 82,220, 54,109)(  3,179,207, 30,279, 15, 52)
11498        (  4,204, 83,  7, 85,197,245)(  5, 25,157,177, 72,214,240)
11499        (  6, 17,206,228, 21,223,230)(  8,232,193,244,178, 41,198)
11500        (  9, 43, 99,160,196,133, 90)( 10,168,181,229, 66,202,235)
11501        ( 11, 57,115,248,163,276,231)( 12, 35, 84,280, 62,155,267)
11502        ( 13, 86, 58,129,185,199,137)( 14,171,125,238,237, 29, 37)
11503        ( 18,272, 34,249,225, 98,270)( 19,148,250,116,219,247,203)
11504        ( 20,103,188,241,271, 91, 96)( 22,146,266,132, 55,278,254)
11505        ( 23, 45,221,111, 56, 71, 38)( 24, 80,119,183,122,243,191)
11506        ( 26,224,227,150,104,164,268)( 27,172,262,128, 50, 39,147)
11507        ( 28,189, 75,200, 88,151,118)( 31,192, 89,246,138,277,167)
11508        ( 32, 46,180,166, 53,140, 70)( 33, 69,152, 64,263, 67,182)
11509        ( 36, 49, 48,100,114,195,105)( 40, 59,274,186,211,209,107)
11510        ( 42, 68, 61,218, 77, 74,253)( 44, 73,161,173, 87,121, 79)
11511        ( 47,176,110,260,102,201,190)( 51,124,210,170,184,162,205)
11512        ( 60,239,120,242, 81,258,234)( 63,135,187,165, 93,217,208)
11513        ( 65,159,113,158,154,275,261)( 76,212,215,153,226,213,142)
11514        ( 78,108,194,233,156,256,273)( 92,112,252,222,131,169,264)
11515        ( 94,106,255,265,236,174,251)( 95,144, 97,117,134,143,130)
11516        (101,141,216,123,136,126,127)(139,259,145,175,257,269,149),
11517      (  1,254,232, 66,270,145, 51,  4,135,130, 12,175,245,124, 99,  8, 70,
11518          54,219,  9,223, 32,100, 60, 76,255,200, 35)(  2,170,233,224, 56,107,
11519         152, 87,149,197,228,256,280,188, 81,120,273,174, 11,182, 30,253,132,
11520          97,164,151,209,178)(  3,244,194,118,274, 78, 79)(  5, 75,105, 58,
11521          62,203,108, 71,179,279,218,104,234,212, 16,112,196,169,142, 44, 84,
11522          72, 42, 36, 74,221, 38,213)(  6,267,191,165,138, 91, 85, 46,204,241,
11523         166,271,168,189,237,264, 98,181,206, 48,139, 22,136, 55,226,193,111,
11524         133)(  7,156,148,159,147,214,229, 23, 82, 53, 15, 61,236,154,190,269,
11525         173, 64,208,115, 69,160,252,230,119, 45,207, 10)( 13, 52,239,258,272,
11526         116,161,137,205, 88, 18,117,262, 21, 43,158,186, 90,125,109, 50,246,
11527         172,278,122, 25, 93, 33)( 14,210, 31,276,153,134,126)
11528        ( 17,163, 24,110,201, 65, 39, 89,250,150, 77,263, 68,195,106,114, 86,
11529          67,146, 28,202, 34, 19,128, 73,238,243,225)( 20,185,162,248,240, 29,
11530         47, 59, 26, 96, 83,277,144,143,231,103,102,155, 92,183, 41,180,220,
11531         222,141,275,177,242)( 27,157,261,216,247,260,129,251,113,171,123, 57,
11532         63,198, 40,127, 37,176,167,215,187,192, 94,265,140,259,268,266)
11533        ( 49,257,101,131,227,235,217)( 80,211,184,199,121,249, 95) ] ],
11534[ 19, 13063680, 0, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3).2^2",
11535  [ "2A", [ 3, 3 ], 1 ],
11536  [ (  1,109, 13,202,121,126,103,256)(  2,246,  7, 78, 65,211, 88,181)
11537        (  3,220,226,115,156, 92,195, 80)(  4,112, 82,208, 91, 87,159, 60)
11538        (  5, 18,240, 30,210,250,  8,138)(  6,104,155, 50,273,237, 53, 59)
11539        (  9, 89,204,145,228,266,150, 35)( 10,205, 16,236,146,262,215,113)
11540        ( 11,229,275,105,101, 28, 79,261)( 12, 66, 24, 64,270,167, 94,129)
11541        ( 14,278,100, 67,196, 31,143,149)( 15,168,207, 86,268, 72,141, 93)
11542        ( 17, 98,219,241,111,122,197, 29)( 19,166, 90,147,218, 73,152,118)
11543        ( 20,183,224,117,119,169, 85, 74)( 21, 61, 70,187,252, 52,157, 32)
11544        ( 22,164, 69,233,245,221, 81,124)( 23, 49,265,135,180,200,230,110)
11545        ( 25,260,108,192,188,244,114,151)( 26,254,133,175,251, 39,134,131)
11546        ( 27,190,194,242,132,184, 37,222)( 33,172,176,139, 48, 83, 38,203)
11547        ( 34, 40, 36,276,186, 96,136, 46)( 41,120,257,243,274, 47,170, 95)
11548        ( 42,128,137,279,235,171,165,248)( 43,178,249,163,162,191,130,272)
11549        ( 44, 75, 76,269, 97,280,174, 99)( 45,255,267,107,148,189,232,154)
11550        ( 51,144,173,206,216,193,127,125)( 54,201,234,116,223,182, 62,214)
11551        ( 55, 58,271,212)( 56,198,263,161,277,160,199,239)( 57,123, 77,225,
11552         217,227,185,102)( 63,140,231,209,106,259, 71,253)( 68,153)
11553        ( 84,264,177,142,258,158,213,247)(179,238),
11554      (  1,278,170,166, 66, 46, 33,141, 85,171,228, 52, 50, 81,124,270, 94,
11555         185,106, 76,249,216,165, 40)(  2,115, 10, 29,129,225, 59,152)
11556        (  3, 62,234,201, 48, 39,161, 13, 88,132, 56, 93,  4,157,181,252,243,
11557         230,119,118,182,247, 51,276)(  5,100,172,262,197,187,  7,154,145, 43,
11558         78, 96, 64, 22, 67,  9,155,179, 21,260, 80,232, 70,175)
11559        (  6, 42,180,190,233,229,143,104, 77,244,255,176,256, 20, 68, 17,136,
11560         269,279,264, 86, 71,220, 14)(  8,147,258,128,199,226,191,109,208,137,
11561         212,151, 44, 54,183,277, 82,134,177, 97,273,205,193, 49)
11562        ( 11,139,101,131, 89,156,195,112,203, 57, 15,242,174, 45,207, 61,159,
11563         209,150,186,120,254, 99,194)( 12, 47, 95, 84,103,221,116,117,235,227,
11564         164, 25,261,148, 63, 30,223, 37,142,271,239,149,222,122)
11565        ( 16,162,215, 28,257,168,160,240,192, 92,263,265, 34,259, 87,268, 36,
11566         238, 31,126,173,236,266,217)( 18, 27,158,133,218,107,146, 60,169,200,
11567         35, 91,178,214,275,204, 98,231,121,202,138,127,102,253)
11568        ( 19, 53, 83, 38, 55, 75, 73, 41,250,224, 69,210,188,246,123, 26,163,
11569         184,105, 24,213,135,198, 65)( 23, 32, 72,153)( 58,237,189,219,108,
11570          79,113,211)( 74,144,272)( 90,267,167,248,206,140,274,245)
11571        (110,280,251,125,130,111,196,241) ] ],
11572[ 20, 26127360, 0, "2", [ [ 243, 1 ], [ 36, 1 ] ], 1, "PSU(4, 3).D_8",
11573  [ "2A", [ 3, 3 ], 1 ],
11574  [ (  1,120,117,172, 10,240)(  2,228,245,105,269, 24)(  3,134, 96,251,181,199
11575         )(  4, 27, 48,198,243,230)(  5,246, 59,276,222, 98)(  6, 79, 60,160,
11576         163,123)(  7, 38,115,153, 83,151)(  8, 39, 73, 54,116, 30)
11577        (  9, 53, 43, 18,179,122)( 11,275,270,188,229, 23)( 12, 25, 36)
11578        ( 13,216,254, 20,274,206)( 14, 70, 92,137,195, 61)( 15, 37,247, 91,
11579          33,190)( 16, 99,201)( 17,164, 75,225,108,159)( 19,231, 49,209, 89,
11580         212)( 21,113, 58,131,271,278)( 22,249,182,133, 56,103)
11581        ( 26,100,258, 74, 31,232)( 28,196,204, 62, 76,168)( 29,170,111)
11582        ( 32,241,253,147,235,138)( 34,208,244,162,132,109)( 35,149,226,101,
11583         233,224)( 40,272,148, 88,266,144)( 41,145,236,194,102,263)
11584        ( 42,176, 63,177, 55, 47)( 44,205, 46, 95,197, 84)( 45,227, 97)
11585        ( 50,277,239, 65,158,215)( 51,192,262,189,114, 90)( 52,135,140, 69,
11586         157,200)( 57,165,210,248,203,279)( 64,178,237,217,184,155)
11587        ( 66,166, 80,193,255,261)( 67,264, 81)( 68,207,126,280,152,268)
11588        ( 71,219,106,110,252,150)( 72,186,183,146,221,136)( 77,167,125,214,
11589         118,273)( 78,130,127,112,180,257)( 82,128,142,259, 93,171)
11590        ( 85,119,139,234,173,175)( 86,143,223,191,104,156)( 87,213,256, 94,
11591         124,238)(107,265,267,242,218,211)(121,141,250,202,174,169)
11592        (129,161,185,154,220,260),
11593      (  1,243,229,183, 60, 19,215,147,153, 69,216, 18,145,152,275,263,154,
11594         184, 21,180,128,170, 42, 10, 13,143,251,  6)(  2, 29, 32,230, 41,179,
11595         57, 65,247,197,124,156,280,181,201, 31,120,210,130,235,123,182,226,
11596         266, 84, 11, 87,246)(  3,205,240,174, 56, 93,264, 39, 97, 52,258,228,
11597         79,207,148,125,272,242, 70, 35,101,108,149, 99,113, 94,173,104)
11598        (  4, 55,252,204,119,186,206,158,234,224,220,239, 64,136,129,  7, 47,
11599          49,134, 12,221, 45,102, 50,236, 67,274,244)(  5, 95,144,188, 17,271,
11600         250,175,209,166,261,150,185,105,200, 75,126, 85,268,214,219,196,238,
11601         176,106,265, 62,231)(  8,160, 91,270,277,138,161, 22,131, 96,114,273,
11602         121,256, 24,222,249, 40, 61, 26,122,171,111,191,141,172,267,164)
11603        (  9,232, 54, 25, 86,151,117, 16, 82, 88,187,139,157,233,163,127, 77,
11604         132, 30, 90,198,248, 33, 58,208,135,269, 92)( 14,155,223,189,110,254,
11605         83, 76, 72,212,100,118,178,279, 15, 36,225, 63,218,237,192, 74, 20,
11606         116, 89,159, 34,245)( 23,262, 44, 37,253, 80, 59, 48, 53,168,260,199,
11607         167,255,203,202, 98,133, 68,177, 27,257,276,194, 46,112, 43, 71)
11608        ( 28,140,278,146,137,142,115)( 38,193, 78, 51,213,211,103)
11609        ( 66,109,107,165,195, 73,162)( 81,259,241,227,169,217,190) ] ],
11610[ 21, 604800, 1, "2", [ [ 36, 1 ], [ 135, 1 ], [ 108, 1 ] ], 1, "J_2",
11611  [ "Spor", "HJ = J(2) = F(5-)", 1 ],
11612  [ (  1, 53,215)(  2,260,257)(  3, 51,106)(  4,224, 87)(  5,125,232)
11613        (  6,130,157)(  7,248,230)(  8,203, 63)(  9, 83,235)( 10,250, 98)
11614        ( 11,196,182)( 12, 82,153)( 13,261, 35)( 14,185,231)( 15,124, 18)
11615        ( 16,117,210)( 17,170, 29)( 19,265,113)( 20,101,156)( 21,225,132)
11616        ( 22,214,134)( 23, 74, 73)( 24,176,253)( 25, 75, 96)( 26,241,171)
11617        ( 27, 38,119)( 28, 78, 72)( 30, 61,254)( 31,110,234)( 32,201,195)
11618        ( 33,205, 77)( 34,274, 80)( 36,122,280)( 37,167,273)( 39,150,181)
11619        ( 40, 55,222)( 41,227,244)( 42,184,114)( 43, 56,223)( 44,236,159)
11620        ( 45,131, 46)( 47,158,278)( 48,193,155)( 50,270, 97)( 52,251,212)
11621        ( 54,137,103)( 57, 88,217)( 58,218, 66)( 59,141,186)( 60, 90,233)
11622        ( 62,200,246)( 64,111, 69)( 65, 99,267)( 67,149,239)( 68,161,269)
11623        ( 70, 81,109)( 71,162,154)( 76,242,211)( 79,202,140)( 84, 94,226)
11624        ( 85,174,169)( 86,277,160)( 89,190,272)( 91, 95,108)( 92,116,264)
11625        ( 93,146,144)(100,120,228)(102,191,206)(104,173,238)(105,138,107)
11626        (112,245,139)(115,276,271)(118,252,216)(121,255,142)(123,219,168)
11627        (126,147,237)(127,152,262)(128,197,249)(129,145,133)(135,240,151)
11628        (136,192,256)(143,166,179)(148,263,180)(163,183,194)(164,198,178)
11629        (165,247,220)(172,199,209)(175,275,204)(177,279,259)(187,243,266)
11630        (188,258,221)(189,229,207)(208,213,268),
11631      (  1,195,  9,  7,223)(  2, 42,  8,172,261)(  3, 36,243,250,166)
11632        (  4,137,198, 20, 39)(  5, 24,179, 82,182)(  6, 26, 87,156,270)
11633        ( 10,277,218, 73, 76)( 11,228, 33,122,171)( 12,214,276,247,133)
11634        ( 13,173,225, 63,112)( 14, 31,167,264,230)( 15,118, 43,253,126)
11635        ( 16, 52,249,134,155)( 17, 81,103,178,144)( 18,165,188,168,275)
11636        ( 19,121, 57, 89, 59)( 21,226, 53,104, 60)( 22,273,102,202, 94)
11637        ( 23,246,279, 75,131)( 25, 95, 77,106, 80)( 27, 40,132,220, 34)
11638        ( 28,163,229, 62,267)( 29, 37, 88,119,248)( 30, 69,271,135,252)
11639        ( 32,127,123,100,140)( 35,203, 54,256,164)( 38,162,268,272,141)
11640        ( 41,206,116,235,117)( 44,217,242,124,238)( 45, 66,210,227,108)
11641        ( 46,154,197,161,255)( 47,245,194,110,185)( 48, 71,239,142,180)
11642        ( 49,186, 99,207,190)( 50,266,160,262,125)( 51,138,251, 98,149)
11643        ( 55,111,231,204, 86)( 56,269,105,244,263)( 58,222,159, 91, 92)
11644        ( 61,233, 64,109, 93)( 65,158, 85,189,259)( 67,274,177,200,211)
11645        ( 68,145,221, 72,101)( 70,183,120,191,148)( 74,265,280,114,201)
11646        ( 78,209,174,232,196)( 79,257,187,208, 96)( 83,152,278,146,193)
11647        ( 84, 97,241,215,151)(107,212,147,143,129)(113,153,150,176,213)
11648        (115,260,157,184,216)(128,224,169,175,237)(205,258,234,254,236) ] ],
11649[ 22, 1209600, 0, "2", [ [ 36, 1 ], [ 135, 1 ], [ 108, 1 ] ], 1, "J_2.2",
11650  [ "Spor", "HJ = J(2) = F(5-)", 1 ],
11651  [ (  1, 67,169,174, 37, 13,132,250, 99,258,116,114)(  2,  4,227, 61,246,154,
11652         130, 78,193, 40,207,149)(  3,113,107,102, 25,192, 52, 71,210, 48, 45,
11653         103)(  5, 34, 53,226,203,267,241, 62,240, 26,139,194)
11654        (  6, 65,259,104,124,245)(  7,118, 69,148,180,230,170,111,144,214, 93,
11655         134)(  8,179,198,229, 75, 73,178,126, 70,141, 32,177)
11656        (  9,119,249,161, 68,181,100,159, 20,212,162,156)( 10,235,153,160,220,
11657         101,143,167,223, 44,175,171)( 11, 92, 56,140,265, 43, 85,191, 84,184,
11658         24,197)( 12, 95,109, 39,211, 59,232, 46,158, 82, 51,217)
11659        ( 14,120,260,215,266,222,183,277,122, 79, 19,173)( 15,255, 42,182,237,
11660         127,225,155,271,152,165,163)( 16,200,135,136, 81,196)( 17,252,263)
11661        ( 18,199, 41,188,189,243,115, 28,218,185,279, 77)( 21,142,205,168,176,
11662         121, 35, 27, 98,262,145,131)( 22, 64,272,234, 29, 89,216,110,190,248,
11663         146, 49)( 23,206,239,164,275,228,268,201,242, 87, 33,195)
11664        ( 30, 58,219, 50,133,276, 90, 96,221,157,251,151)( 36,273, 63,233,187,
11665         80, 97, 38,209,238,106, 88)( 47,278,129,274,186, 91, 72,112,204, 74,
11666         213, 86)( 54,125, 55,117,128,270)( 57,137,123,224,105,202)
11667        ( 60, 94,138,257,150,256)( 66,108, 83,247,147,166,236,264,244, 76,269,
11668         253)(172,261,280,208,231,254),
11669      (  1,212,179,186, 17,110)(  2,194,278,257,279, 13)(  3, 99,124,148, 24,
11670          30)(  4,201,252, 47,178,240)(  5, 25,111,172, 36, 74)
11671        (  6,219,146, 75,249,184)(  7, 16,227,256,181,100)(  8, 31, 73,117,
11672         196,276)(  9,268,270,198,131,102)( 10,190,220,217,191, 78)
11673        ( 11, 57,169,183,180, 58)( 12, 35,140, 72,225,116)( 14,280, 53,127,
11674         159,135)( 15, 62, 52, 60, 90,166)( 18, 26,123,138,207, 70)
11675        ( 19,224,248,182, 71, 40)( 20, 76,254,165,274,203)( 21, 39,229,251,
11676         233,143)( 22,237, 68, 38,105, 93)( 23,244,209)( 27,144,243,239,128,
11677         195)( 28,141,130,245, 88,206)( 29,261,167,163,241,157)
11678        ( 32,211,133,226,197, 54)( 33, 91,253)( 34, 87,137, 42,170,221)
11679        ( 37, 50)( 41,150,107,228,103,230)( 43,171,139,154,265,231)
11680        ( 44,151,275, 89, 51,262)( 45, 85, 97, 79,235,236)( 46,174, 48, 84,
11681          86,164)( 49,149,277,260,155,187)( 55,113, 63,188,162,222)
11682        ( 56,158,273,177,234,122)( 59,112, 80,204,106,109)( 61,272,238,129,
11683          96,126)( 64, 92, 66,232,266, 67)( 65, 98,247,271,185,215)
11684        ( 69,192,264,176,145,134)( 77,218,210,125, 94,147)( 81,250,104,161,
11685         118,246)( 82,258,115,175,173,205)( 83,213,193,214,160,202)
11686        ( 95,153,156,255,216,263)(101,119,189,152,208,259)(114,168,120)
11687        (132,136,199,223,200,267)(142,242,269) ] ],
11688[23, Factorial(280)/2,1,"2",[[279,1]],278, "Alt(280)", ["A",280, 1], "Alt"],
11689[24, Factorial(280),0,"2",[[279, 1]],280, "Sym(280)", ["A",280, 1], "Sym"]];
11690PRIMGRP[281]:=
11691[[1, Factorial(281)/2,1,"2",[[280,1]],279, "Alt(281)", ["A",281, 1], "Alt"],
11692[2, Factorial(281),0,"2",[[280, 1]],281, "Sym(281)", ["A",281, 1], "Sym"],
11693[ 3, 281, 3, "1", [ [ 1, 280 ] ], 1, "C(281)", [ "Z", 281, 1 ], [  ] ],
11694[ 4, 562, 2, "1", [ [ 2, 140 ] ], 1, "D(2*281)", [ "Z", 281, 1 ],
11695  [ [ [ Z(281)^140 ] ] ] ],
11696[ 5, 1124, 2, "1", [ [ 4, 70 ] ], 1, "281:4", [ "Z", 281, 1 ],
11697  [ [ [ Z(281)^70 ] ] ] ],
11698[ 6, 1405, 2, "1", [ [ 5, 56 ] ], 1, "281:5", [ "Z", 281, 1 ],
11699  [ [ [ Z(281)^56 ] ] ] ],
11700[ 7, 1967, 2, "1", [ [ 7, 40 ] ], 1, "281:7", [ "Z", 281, 1 ],
11701  [ [ [ Z(281)^40 ] ] ] ],
11702[ 8, 2248, 2, "1", [ [ 8, 35 ] ], 1, "281:8", [ "Z", 281, 1 ],
11703  [ [ [ Z(281)^35 ] ] ] ],
11704[ 9, 2810, 2, "1", [ [ 10, 28 ] ], 1, "281:10", [ "Z", 281, 1 ],
11705  [ [ [ Z(281)^28 ] ] ] ],
11706[ 10, 3934, 2, "1", [ [ 14, 20 ] ], 1, "281:14", [ "Z", 281, 1 ],
11707  [ [ [ Z(281)^20 ] ] ] ],
11708[ 11, 5620, 2, "1", [ [ 20, 14 ] ], 1, "281:20", [ "Z", 281, 1 ],
11709  [ [ [ Z(281)^14 ] ] ] ],
11710[ 12, 7868, 2, "1", [ [ 28, 10 ] ], 1, "281:28", [ "Z", 281, 1 ],
11711  [ [ [ Z(281)^10 ] ] ] ],
11712[ 13, 9835, 2, "1", [ [ 35, 8 ] ], 1, "281:35", [ "Z", 281, 1 ],
11713  [ [ [ Z(281)^8 ] ] ] ],
11714[ 14, 11240, 2, "1", [ [ 40, 7 ] ], 1, "281:40", [ "Z", 281, 1 ],
11715  [ [ [ Z(281)^7 ] ] ] ],
11716[ 15, 15736, 2, "1", [ [ 56, 5 ] ], 1, "281:56", [ "Z", 281, 1 ],
11717  [ [ [ Z(281)^5 ] ] ] ],
11718[ 16, 19670, 2, "1", [ [ 70, 4 ] ], 1, "281:70", [ "Z", 281, 1 ],
11719  [ [ [ Z(281)^4 ] ] ] ],
11720[ 17, 39340, 2, "1", [ [ 140, 2 ] ], 1, "281:140", [ "Z", 281, 1 ],
11721  [ [ [ Z(281)^2 ] ] ] ],
11722[ 18, 78680, 2, "1", [ [ 280, 1 ] ], 2, "AGL(1, 281)", [ "Z", 281, 1 ],
11723  [ [ [ Z(281) ] ] ] ]];
11724PRIMGRP[282]:=
11725[[ 1, 11093880, 1, "2", [ [ 281, 1 ] ], 2, "PSL(2, 281)",
11726  [ "L", [ 2, 281 ], 1 ], "psl" ],
11727[ 2, 22187760, 0, "2", [ [ 281, 1 ] ], 3, "PGL(2, 281)",
11728  [ "L", [ 2, 281 ], 1 ], "pgl" ],
11729[3, Factorial(282)/2,1,"2",[[281,1]],280, "Alt(282)", ["A",282, 1], "Alt"],
11730[4, Factorial(282),0,"2",[[281, 1]],282, "Sym(282)", ["A",282, 1], "Sym"]];
11731PRIMGRP[283]:=
11732[[1, Factorial(283)/2,1,"2",[[282,1]],281, "Alt(283)", ["A",283, 1], "Alt"],
11733[2, Factorial(283),0,"2",[[282, 1]],283, "Sym(283)", ["A",283, 1], "Sym"],
11734[ 3, 283, 3, "1", [ [ 1, 282 ] ], 1, "C(283)", [ "Z", 283, 1 ], [  ] ],
11735[ 4, 566, 2, "1", [ [ 2, 141 ] ], 1, "D(2*283)", [ "Z", 283, 1 ],
11736  [ [ [ Z(283)^141 ] ] ] ],
11737[ 5, 849, 2, "1", [ [ 3, 94 ] ], 1, "283:3", [ "Z", 283, 1 ],
11738  [ [ [ Z(283)^94 ] ] ] ],
11739[ 6, 1698, 2, "1", [ [ 6, 47 ] ], 1, "283:6", [ "Z", 283, 1 ],
11740  [ [ [ Z(283)^47 ] ] ] ],
11741[ 7, 13301, 2, "1", [ [ 47, 6 ] ], 1, "283:47", [ "Z", 283, 1 ],
11742  [ [ [ Z(283)^6 ] ] ] ],
11743[ 8, 26602, 2, "1", [ [ 94, 3 ] ], 1, "283:94", [ "Z", 283, 1 ],
11744  [ [ [ Z(283)^3 ] ] ] ],
11745[ 9, 39903, 2, "1", [ [ 141, 2 ] ], 1, "283:141", [ "Z", 283, 1 ],
11746  [ [ [ Z(283)^2 ] ] ] ],
11747[ 10, 79806, 2, "1", [ [ 282, 1 ] ], 2, "AGL(1, 283)", [ "Z", 283, 1 ],
11748  [ [ [ Z(283) ] ] ] ]];
11749PRIMGRP[284]:=
11750[[ 1, 11332452, 1, "2", [ [ 283, 1 ] ], 2, "PSL(2, 283)",
11751  [ "L", [ 2, 283 ], 1 ], "psl" ],
11752[ 2, 22664904, 0, "2", [ [ 283, 1 ] ], 3, "PGL(2, 283)",
11753  [ "L", [ 2, 283 ], 1 ], "pgl" ],
11754[3, Factorial(284)/2,1,"2",[[283,1]],282, "Alt(284)", ["A",284, 1], "Alt"],
11755[4, Factorial(284),0,"2",[[283, 1]],284, "Sym(284)", ["A",284, 1], "Sym"]];
11756PRIMGRP[285]:=
11757[[ 1, 6840, 0, "2", [ [ 4, 1 ], [ 6, 2 ], [ 24, 9 ], [ 8, 2 ], [ 12, 3 ] ], 1,
11758  "PGL(2, 19)", [ "L", [ 2, 19 ], 1 ],
11759  [ (  1,  2)(  3,  7)(  4, 10)(  5, 13)(  6, 16)(  8, 21)(  9, 24)( 11, 29)
11760        ( 12, 32)( 14, 37)( 15, 40)( 17, 45)( 18, 48)( 19, 50)( 20, 52)
11761        ( 22, 57)( 23, 60)( 25, 65)( 26, 27)( 28, 71)( 31, 69)( 33, 82)
11762        ( 34, 79)( 35, 85)( 36, 88)( 38, 92)( 39, 94)( 41, 98)( 42,101)
11763        ( 43,104)( 44,107)( 46,111)( 47,112)( 49,117)( 51,121)( 53,126)
11764        ( 54, 81)( 55,130)( 56,120)( 58,133)( 59, 84)( 61,139)( 62,142)
11765        ( 63,145)( 64,148)( 66,150)( 67, 77)( 68,153)( 70,155)( 72,159)
11766        ( 73,161)( 74, 93)( 75,165)( 76,167)( 78,149)( 80,171)( 83,177)
11767        ( 86,181)( 87,183)( 89, 97)( 90,131)( 91,188)( 95,113)( 96,195)
11768        ( 99,151)(100,124)(102,191)(103,202)(105,205)(106,208)(108,213)
11769        (109,147)(110,216)(114,129)(115,218)(116,219)(118,201)(119,203)
11770        (122,225)(123,162)(125,211)(127,186)(128,224)(132,185)(134,230)
11771        (135,198)(136,234)(137,236)(138,206)(140,239)(141,241)(143,242)
11772        (144,209)(146,245)(152,248)(154,215)(156,252)(157,184)(158,254)
11773        (160,170)(163,255)(164,180)(166,197)(168,259)(169,261)(172,228)
11774        (173,217)(174,232)(175,189)(176,210)(178,244)(179,265)(187,220)
11775        (190,246)(192,247)(193,196)(194,271)(199,237)(200,257)(204,267)
11776        (207,274)(212,270)(214,249)(222,277)(223,264)(226,243)(227,278)
11777        (229,280)(231,258)(235,268)(238,251)(240,273)(250,281)(253,269)
11778        (256,282)(260,272)(262,263)(266,279)(275,276)(283,285),
11779      (  1,  3,  8, 22, 58,134,150, 57,103,203,112,104,204, 31, 78,107,211,
11780         264,183)(  2,  5, 14, 38, 93,165,257,281,274,283,282,144, 47,113,167,
11781         71,157,253, 90)(  4, 11, 30, 76,168,260,269,284,276,279,163,256,258,
11782         247,230,254, 68, 37, 64)(  6, 17, 46, 12, 33, 83,158,213, 84,179,200,
11783         244, 59,135,192,270,136,228,114)(  7, 19, 51,122,226,186,267,227, 73,
11784         162, 56,131,232,265,216,148,246,241,126)(  9, 25, 66,151, 26, 67,138,
11785         238,280,248,133,147,225,273, 28, 72,160,184,181)( 10, 27, 69,141,111,
11786         70,156,177,263,285,239,205,208,154,250, 54,128,145,197)
11787        ( 13, 35, 86,182,240,106,209,222, 23, 61,140,161,109, 65, 36, 89,185,
11788          42,102)( 15, 41, 99,198,149, 98,101,123,207,275,170,233,201, 20, 53,
11789         127,231,261,235)( 16, 43,105,206,164, 87, 45, 21, 55, 40, 96,196,245,
11790         50,120,219,142,187,202)( 18, 49,118,221,159, 29, 74, 34, 60,137, 44,
11791         108,152,236, 62,143, 91,153,249)( 24, 63,146,119, 48,115,194,255,176,
11792         178, 39, 95,193, 79, 88,155,223,214,252)( 32, 80,172, 82,175,188,268,
11793         116,132, 77,110,210,251,139,195,242,169,262,234)( 52,124, 94,173,259,
11794         100,199,272, 81,174,237,117,220,277,271,171,190,191,130)
11795        ( 75,166, 85,180, 97, 92,189,212,243,278,129,218,125,229,266,215,121,
11796         224,217), (  1,  4, 12, 34, 63,147, 43,106,210, 16, 44,109,215,137,
11797         237, 37, 91,180)(  2,  6, 18,  7, 20, 54,129, 66,152, 30, 77,166,258,
11798         280,225,203,260, 46)(  3,  9, 26, 68,154,251,284, 99,133,111,217, 49,
11799         119, 53, 17, 47,114,168)(  5, 15, 42,103,  8, 23, 62,144,243,259,175,
11800         216,234, 82,176,262,272,156)( 10, 28, 73,163,122,227, 19, 13, 36, 90,
11801         187, 52,125,135,233,268, 96,189)( 11, 31, 79,143, 33, 84, 57, 85,120,
11802         223,108,214,140,240,150,247,271,285)( 14, 39, 76,169,220,278,229,118,
11803         222,253,248, 21, 56,132,145,244,241, 67)( 22, 59,136,235,162,211,276,
11804         92,190,254, 58, 86, 89,186,198,267,196,208)( 24, 64, 88,184,266,263,
11805         219,242,221,213, 69,117, 55,113,161,209,146,155)( 25, 51,123,228,279,
11806         112,205,261,256,124, 98,197, 65,149, 45,110, 35, 87)( 27, 70,130,188,
11807         269,232,282,238,115,179,121,139,193,202,151,167,102,201)
11808        ( 29, 75, 50, 38, 41,100,200,199,236,283,245,250,275,226,181,206,273,
11809         252)( 32, 81, 80,173,172,127,165,153,224,104, 60,138,101,183,128,231,
11810         281,249)( 40, 97, 71,158,174, 95,194,257,246,131, 94,192,157,239,142,
11811         72,134,160)( 48,116, 61,141,218,185,195,126,230)( 74,164,171,105,207,
11812         182)( 78,170,255,277,274, 83,178,264,204,265,270, 93,191,148,159,107,
11813         212,177) ] ],
11814[2, Factorial(285)/2,1,"2",[[284,1]],283, "Alt(285)", ["A",285, 1], "Alt"],
11815[3, Factorial(285),0,"2",[[284, 1]],285, "Sym(285)", ["A",285, 1], "Sym"]];
11816PRIMGRP[286]:=
11817[[ 1, 3113510400, 1, "2", [ [ 135, 1 ], [ 30, 1 ], [ 120, 1 ] ], 1, "Alt(13)",
11818  [ "A", 13, 1 ],
11819  [ (  1,165, 17,154, 76, 41,257, 37,189,195, 51,  5, 27)(  2, 56, 68,125, 55,
11820         152,225, 54,  6, 39,100,  7,249)(  3,215, 85, 12,191,116,204,231,143,
11821         31,151,205, 75)(  4,186,248, 69,222, 49, 20, 38,134, 47, 64, 92,227)
11822        (  8,156, 99,181,172,194, 65,281,223, 45,  9,233,117)( 10,273, 93, 26,
11823         86,183,258,126,262,132,148,261,169)( 11,190, 59, 66, 50,107,201,133,
11824         203,226,188,242,282)( 13,199,128, 57, 62,145, 23, 24,144,187, 78, 52,
11825         267)( 14,253, 79, 40, 73,129,214,175,182,286, 98,122,207)
11826        ( 15,278,115,105,244,139,221, 82,166, 91, 94,239, 35)( 16,174,135,163,
11827         28,252, 44,279,173, 88,111,251, 72)( 18,234,119,263,264,254,270, 19,
11828         259,108, 48,101,112)( 21,118, 89, 29,240,103,168,280, 61,159,138, 60,
11829         147)( 22,102,104,229,272,120,142,268,127,208,230, 71,250)
11830        ( 25,284,153, 90,235,196, 87, 97,192,269,110,256,247)( 30,121,178, 33,
11831         43,130,155,136,146,193, 84,200, 34)( 32,213,162,236,114,220,185,179,
11832         271,197,177, 63, 83)( 36, 95,124, 67,137,246, 42,219,255,216, 53, 96,
11833         211)( 46,157,245, 81,149,277, 80,106,212,109,228, 58,237)
11834        ( 70, 77,265,141,218,171,184,241,167,274,285,123,266)( 74,202,209,161,
11835         275,170,131,176,150,158,276,217,210)(113,164,198,160,140,206,224,243,
11836         260,232,238,180,283), (  1,216,122, 79,172,176,134,242,203,175, 27)
11837        (  2,210,220,152,191,137,157, 39,109, 22,277)(  3,246, 16,189,239, 12,
11838         139,233, 69,196,164)(  4,263,200,178,214,158,194,195, 84,234, 91)
11839        (  5,267,106,188, 14,148,107, 48, 80,168,145)(  6,183,186,169,174, 94,
11840         92, 66,  8, 34,198)(  7,211,160,167,141,149,112,208,207,142,129)
11841        (  9,130,165,159, 23,179,125,205,131,150,185)( 10,264, 24, 78,136, 57,
11842         61,187,244,124,260)( 11, 32,140, 58, 36, 98,219, 40,100,193, 52)
11843        ( 13,280,154, 33, 72,133,226,108,279,222,217)( 15, 21,117,115,254,166,
11844         285,156, 86, 19,105)( 17,101,143, 47,184, 49,248, 59,202, 56,197)
11845        ( 18, 42, 30,257,240, 67, 85,132, 96,147,250)( 20,173,268, 99,269,113,
11846         97,228,235, 29,274)( 25,229,271,224,213,251, 71,177,265,171,243)
11847        ( 26,127, 41,261, 93,232,215,116,138, 62,126)( 28, 50,153,237,225,247,
11848         212, 73,161, 77,163)( 31,144,231, 75, 70, 65,262,282,249, 43,180)
11849        ( 35,230,118,223, 90,206, 68,170, 83,204,192)( 37,128, 46,201, 74,221,
11850         53,199,190, 51,286)( 38,103,281, 55,119,238,227, 60,266, 45, 82)
11851        ( 44,182,209,253, 63, 88,283,121,278, 64,236)( 54, 81,104, 76,255,258,
11852         87,102,245,259,273)( 89,146,270,218,110,162,275, 95,284,120,111)
11853        (114,276,241,151,256,181,123,155,135,252,272) ] ],
11854[ 2, 6227020800, 0, "2", [ [ 135, 1 ], [ 30, 1 ], [ 120, 1 ] ], 1, "Sym(13)",
11855  [ "A", 13, 1 ],
11856  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43)(  4,  6,  8, 11, 14,
11857         18, 22, 27, 32, 38, 45, 52, 60)(  9, 12, 15, 19, 23, 28, 33, 39, 46,
11858          54, 62, 71, 82)( 16, 20, 24, 29, 34, 40, 47, 55, 64, 73, 84, 97,111)
11859        ( 25, 30, 35, 41, 48, 56, 65, 75, 86, 99,114,130,146)( 36, 42, 49, 57,
11860         66, 76, 88,101,116,133,149,165,182)( 44, 51, 59, 69, 79, 92,106,123,
11861         138,155,172,190,122)( 50, 58, 67, 77, 89,103,118,135,152,168,186,204,
11862         221)( 53, 61, 70, 80, 93,107,124,139,156,173,191,209,226)
11863        ( 63, 72, 83, 95,108,125,140,157,174,192,210,227,244)( 68, 78, 90,104,
11864         120,137,154,171,189,208,225,242,258)( 74, 85, 98,112,128,141,158,175,
11865         193,211,228,245,261)( 81, 94,109,126,142,159,177,195,214,231, 91,105,
11866         121)( 87,100,115,131,147,162,176,194,212,229,246,262,254)
11867        ( 96,110,127,143,160,178,196,215,232,249,265,243,259)(102,117,134,150,
11868         166,183,201,213,230,247,263,275,200)(113,129,144,161,179,197,216,233,
11869         250,266,277,260,273)(119,136,153,169,187,205,222,238,248,264,276,283,
11870         145)(132,148,163,180,198,217,234,251,267,278,272,274,282)
11871        (151,167,184,202,218,235,252,268,279,284,220,237,253)(164,181,199,170,
11872         188,206,223,239,255,269,280,285,286)(185,203,219,236,207,224,240,256,
11873         270,241,257,271,281), (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)
11874        ( 37, 44)( 42, 50)( 45, 53)( 51, 60)( 54, 63)( 58, 68)( 61, 71)
11875        ( 64, 74)( 69, 80)( 70, 81)( 72, 84)( 75, 87)( 78, 91)( 83, 96)
11876        ( 85, 99)( 88,102)( 93,108)( 98,113)(100,116)(103,119)(105,122)
11877        (109,127)(110,120)(115,132)(117,135)(125,141)(129,145)(134,151)
11878        (136,154)(143,161)(148,164)(153,170)(158,176)(167,185)(179,198)
11879        (181,200)(188,207)(194,213)(203,220)(217,235)(224,241)(226,243)
11880        (230,248)(237,254)(244,260)(252,269)(257,272)(261,274)(264,265)
11881        (277,280) ] ],
11882[3, Factorial(286)/2,1,"2",[[285,1]],284, "Alt(286)", ["A",286, 1], "Alt"],
11883[4, Factorial(286),0,"2",[[285, 1]],286, "Sym(286)", ["A",286, 1], "Sym"]];
11884PRIMGRP[287]:=
11885[[1, Factorial(287)/2,1,"2",[[286,1]],285, "Alt(287)", ["A",287, 1], "Alt"],
11886[2, Factorial(287),0,"2",[[286, 1]],287, "Sym(287)", ["A",287, 1], "Sym"]];
11887PRIMGRP[288]:=
11888[[1, Factorial(288)/2,1,"2",[[287,1]],286, "Alt(288)", ["A",288, 1], "Alt"],
11889[2, Factorial(288),0,"2",[[287, 1]],288, "Sym(288)", ["A",288, 1], "Sym"]];
11890PRIMGRP[289]:=
11891[[ 1, 63256773252773585092608000000, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1,
11892  "Alt(17) wreath Sym(2)", [ "A", 17, 2 ],
11893  [ (  1,233,177,282, 31,117,260,241,144,  9,222,182,279, 27,116,270,243,139,
11894           8,230,171,284, 24,112,269,253,141,  3,229,179,273, 29,109,265,252,
11895         151,  5,224,178,281, 18,114,262,248,150, 15,226,173,280, 26,103,267,
11896         245,146, 14,236,175,275, 25,111,256,250,143, 10,235,185,277, 20,110,
11897         264,239,148,  7,231,184,287, 22,105,263,247,137, 12,228,180,286, 32,
11898         107,258,246,145)(  2,237,176,274, 33,108,257,254,142)
11899        (  4,225,174,276, 21,106,259,242,140)(  6,223,186,278, 19,118,261,240,
11900         152)( 11,232,181,283, 28,113,266,249,147)( 13,238,183,289, 30,119,
11901         268,255,149, 17,234,187,285, 34,115,272,251,153)( 16,227,172,288, 23,
11902         104,271,244,138)( 35,199,211, 61,133, 83, 39,190,212, 60,120, 80, 41,
11903         197,218, 66,124, 71, 42,196,205, 63,126, 78, 48,202,209, 54,127, 77)
11904        ( 36,203,210, 53,135, 74)( 37,195,213, 52,131, 75, 44,201,219, 56,122,
11905         76, 43,188,216, 58,129, 82, 49,192,207, 59,128, 69, 46,194,214, 65,
11906         134, 73)( 38,191,208, 55,123, 72)( 40,189,220, 57,121, 84)
11907        ( 45,198,215, 62,130, 79)( 47,204,217, 68,132, 85)( 50,193,206, 67,
11908         125, 70)( 51,200,221, 64,136, 81)( 86,165, 92,163, 99,168, 90,156,
11909          93,162)( 87,169, 91,155,101,159)( 88,161, 94,154, 97,160, 95,167,
11910         100,158)( 89,157)( 96,164)( 98,170)(102,166),
11911      (  1, 59,170,  9,195,159, 94,191,108, 95,123,116,248,121,150,239, 53,153
11912         )(  2,144,154, 60,204,  6, 93,157,111,197,125, 99,242,104,146,120,
11913          65,255)(  3,280,160, 43,200,176, 96, 72,105,282,126, 48,251,172,147,
11914         69, 54,289,  7, 42,166,179,198, 74, 88,276,109, 44,132,184,249, 70,
11915         139,273, 58, 51, 13,178,164, 77,190,278, 92, 38,115,180,130, 82,241,
11916         274,143, 35, 64,187, 11, 76,156,281,194, 40, 98,174,113, 78,122,286,
11917         245, 36,149,171, 62, 85)(  4,110,163,128,201,244, 87,140,103, 61,136,
11918         14,246,155,145,188, 57,102)(  5, 25,169,213,199,261,100,225,107, 27,
11919         135,218,250,257,151,222, 56, 34, 16,212,165,264,202,227, 90, 21,118,
11920         214,131,269,253,223,141, 18, 67,221, 12,263,168,230,192, 23,101,208,
11921         114,265,134,235,243, 19,152,205, 63,272, 15,229,158, 26,203,210, 97,
11922         259,117,231,124, 31,254,206,148,256, 66,238)(  8,161,162,196,193, 91,
11923         89,106,112,129,133,252,240,138,137, 52, 68, 17)( 10,127,167,247,189,
11924         142, 86, 55,119)( 20,288,211, 46,268,185,232, 73)( 22, 33,220,216,
11925         267,270,236,226)( 24, 50,217,182,266, 83,224,277)( 28, 84,207,284,
11926         262, 49,234,175)( 29,271,219,233,260, 32,237,209)( 30,186,215, 80,
11927         258,287,228, 39)( 37,285,177, 45, 81,173,283, 75)( 41, 47,183,181,
11928          79, 71,275,279) ] ],
11929[ 2, 126513546505547170185216000000, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1,
11930  "Alt(17)^2.2^2", [ "A", 17, 2 ],
11931  [ (  1, 99,202,258,115,152, 26,170,177,249, 42,282, 70,120, 91,236,267, 64,
11932         140,213,158,  7,252,195,275,104,135, 23,238,182, 62, 38,214, 73)
11933        (  2,133,193,224,114, 67, 21,221,175, 11, 48,197, 71,103,101, 32,272,
11934         183,147, 43,163, 75,239, 93,287,257,132,142,230,165, 58,242,212,277)
11935        (  3,116,203, 20,119,186, 28, 51,180, 79, 35, 95, 83,256, 98,151,264,
11936         166,143,247,161,279,240,127,278,223,131, 57,225,216, 56,  4,218,192)
11937        (  5, 14,201,190,105,118, 33, 34,187,181, 45, 44, 78, 69, 86,100,270,
11938         268,149,145,162,160,245,246,280,274,121,125,227,233, 63, 55,208,209)
11939        (  6,235,199, 54,106,220, 22, 17,184,198, 37,112, 84, 18,102,185,266,
11940          47,146, 77,154, 92,253,263,285,138,128,159,228,250, 59,276,206,124)
11941        (  8,286,189,122,108,237, 29, 68,174,215, 39, 10, 82,188, 88,117,271,
11942          30,153,179,164, 41,248, 76,273, 87,134,261,234,148, 60,157,211,243)
11943        (  9,167,194,241,110,288, 19,136,176,232, 46, 61, 72,205, 90, 15,269,
11944         200,139,111,169, 24,255,178,283, 36,129, 74,222, 97, 66,259,217,141)
11945        ( 12, 65,191,207,107, 16, 31,204,173,113, 50, 27, 85,171, 96, 49,265,
11946          81,137, 94,168,262,251,144,281,155,126,244,229,284, 53,123,210,226)
11947        ( 13,150,196,156,109,254, 25,289,172,130, 40,231, 80, 52, 89,219,260),
11948      (  1,227,168, 84,189, 44,124, 52,278, 32,186,138, 10,226,154, 74,202,
11949          50,121, 61,277, 18,176,151, 16,223,163, 73,188, 40,134, 67,274, 27,
11950         175,137,  6,236,169, 70,197, 39,120, 57,287, 33,172,146,  5,222,159,
11951          83,203, 36,129, 56,273, 23,185,152,  2,231,158, 69,193, 49,135, 53,
11952         282, 22,171,142, 15,237,155, 78,192, 35,125, 66,288, 19,180,141)
11953        (  3,235,157, 76,196, 51,131, 58,285, 28,173,150,  4,229,162, 85,199,
11954          41,132, 62,275, 31,174,144,  9,238,165, 75,200, 45,122, 65,276, 25,
11955         179,153, 12,228,166, 79,190, 48,123, 59,281, 34,182,143, 13,232,156,
11956          82,191, 42,128, 68,284, 24,183,147)(  7,234,164, 71,201, 38,127, 60,
11957         289, 29,177,149, 11,224,167, 72,195, 43,136, 63,279, 30,181,139, 14,
11958         225,161, 77,204, 46,126, 64,283, 20,184,140,  8,230,170, 80,194, 47,
11959         130, 54,286, 21,178,145, 17,233,160, 81,198, 37,133, 55,280, 26,187,
11960         148)( 86,244,117,271,206, 95,243,103,261,219,101,240,112,260,205, 91,
11961         253,118,257,214, 90,239,108,270,220, 87,248,107,256,210,100,254,104,
11962         265,209)( 88,252,106,263,213,102,250,109,268,215)( 89,246,111,272,
11963         216, 92,251,113,258,218)( 93,247,119,267,211, 98,249,105,269,208)
11964        ( 94,255,114,262,217, 96,241,116,259,212)( 97,245,115,266,207, 99,242,
11965         110,264,221) ] ],
11966[ 3, 126513546505547170185216000000, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1,
11967  "Alt(17)^2.4", [ "A", 17, 2 ],
11968  [ (  1,200, 94,258,160,135,210,119,248,283,175,229,140, 48, 29, 70)
11969        (  2,188, 98,264,156,126,220,108,255,282,181,226,144, 38, 31, 80)
11970        (  3,194,101,261,170,129,215,107,246,276,184,233,138, 35, 30, 77)
11971        (  4,201, 97,257,154,132,213,105,245,288,176,238,146, 45, 22, 76)
11972        (  5,195, 89,269,165,121,205,115,247,275,177,237,142, 51, 27, 79)
11973        (  6,204, 95,266,158,127,208,116,250,274,171,234,145, 37, 24, 84)
11974        (  7,203, 91,272,163,130,209,110,242,286,182,223,137, 47, 26, 71)
11975        (  8,191, 99,267,155,120,217,111,241,279,186,227,153, 44, 28, 73)
11976        (  9,190, 92,271,159,136,214,113,243,280,174,235,148, 36, 18, 81)
11977        ( 10,198, 90,263,157,133,216,104,239,285,179,224,143, 50, 23, 85)
11978        ( 11,192, 93,259,167,131,206,103,251,281,173,228,152, 40, 34, 78)
11979        ( 12,189, 86,268,162,122,211,118,244,289,180,232,141, 42, 21, 82)
11980        ( 13,196, 88,262,169,125,221,112,249,277,178,225,150, 46, 19, 69)
11981        ( 14,199, 87,256,166,128,207,109,254,278,187,231,147, 39, 25, 72)
11982        ( 15,202,100,270,168,134,219,117,253,287,185,236,151, 49, 32, 83)
11983        ( 16,193,102,265,164,124,212,106,252,284,172,222,149, 43, 20, 75)
11984        ( 17,197, 96,260,161,123,218,114,240,273,183,230,139, 41, 33, 74)
11985        ( 52, 64, 60, 54, 58, 67, 57, 68, 61, 62, 56, 59, 55, 65, 63, 53),
11986      (  1,209, 58, 14,192, 57,269,191,227,264, 38,222,213, 41)
11987        (  2,277, 66,252,198,125,268,140,224,111, 46, 18,212, 75)
11988        (  3,107, 63, 31,195, 74,257,276,236,247, 45,120,217,143)
11989        (  4,226, 60, 48,188,210,262)(  5, 56, 65,201,193,261,259,225,230, 43,
11990         35,205,211,  7)(  6,260, 55,235,196, 40,256,208,228,  9, 39, 52,218,
11991         194)(  8, 73, 53,286,202,244,266,123,234,145, 37,103,216, 24)
11992        ( 10,175, 68,167,197,176,272,157,231,179, 51,154,214,177, 17,158, 61,
11993         184,204,159,265,174,238,162, 44,171,221,160)( 11,124, 64,150,190,108,
11994         267, 21,229, 77, 36,273,219,245)( 12, 22, 59, 82,189,278,270,242,232,
11995         128, 47,137,207,109)( 13,141, 54,116,199, 23,263, 72,223,281, 49,239,
11996         215,126)( 15,243, 62,133,200,142,258,106,233, 26, 42, 69,206,279)
11997        ( 16, 90, 67, 99,203, 91,271, 89,237, 94, 50, 86,220, 92)
11998        ( 19,280, 83,240,283,134,251,147,122,115,148, 20,110, 80)
11999        ( 25, 76, 70,274,287,253,249,130,132,149,139,105,114, 29)
12000        ( 27,178, 85,155,282,185,255,164,129,183,153,156,112,182, 34,161, 78,
12001         172,289,168,248,181,136,166,146,173,119,165)( 28,127, 81,138,275,117,
12002         250)( 30,144, 71,104,284, 32,246, 79,121,285,151,241,113,131)
12003        ( 33, 93, 84, 87,288,100,254, 96,135, 98,152, 88,118, 97)
12004        ( 95,186,102,169)(163,180,187,170) ] ],
12005[ 4, 253027093011094340370432000000, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1,
12006  "Sym(17) wreath Sym(2)", [ "A", 17, 2 ],
12007  [ (  1, 71,251,  2, 88,249,121,100,181,129,236,178, 44,227,110, 43,278,118,
12008         264,284,152,262,165,137, 75,166)(  3,241,240, 87, 96,130,134,185,180,
12009         231,229, 42, 40,108,111,281,288,271,267,148,143,160,154, 69, 81, 13)
12010        (  4, 54,252,206,102, 28,123, 66,184,214,238, 25, 38, 57,116,213,289,
12011          33,259, 63,150,211,170, 18, 72, 64, 14,207,255, 19, 89, 62,133,219,
12012         187, 27,225, 59, 48,210,119, 26,276, 67,269,216,153, 24,157, 52, 82,
12013         217, 17, 20,242, 53, 99,215,136, 32,174, 61,235,212, 51, 23,106, 60,
12014         286,220,272, 29,140, 58,167,205, 85, 30)(  5,190,243,189, 90,198,124,
12015         202,175,197,226,195, 39,193,107,196,277,203,260,199,141,194,158,188,
12016          73,200)(  6,105,247,274,101,266,131,151,177,163,222, 76, 47)
12017        (  7,156,239, 70, 98, 11,122,253,172, 95,232,127, 49,176,112,230,280,
12018          50,261,114,145,279,169,256, 80,149)(  8, 37,244,104, 94,283,135,270,
12019         182,146,228,161, 35, 74,115,  9,275,254,257, 97,147,126,168,171, 78,
12020         234)( 10,224,246, 36, 91,113,128,287,186,265,233,144, 41,159,103, 77,
12021         285, 16,258,250,138, 92,164,120, 83,183)( 12,139,245,155, 86, 79,132,
12022         15,173,248,223, 93, 45,125,117,179,282,237,263, 46,142,109,162,273,
12023          84,268)( 21, 55, 65,218,221, 34)( 22,191, 56,201,209,204)
12024        ( 31,208, 68), (  1, 86, 93, 76, 79,147,141,124,135,254,255, 51, 43,
12025         281,274,  2)(  3,256, 98, 25, 72, 62,151,209,122,271,251, 34, 38, 60,
12026         287,206)(  4, 52,100,212, 71,266,149, 22,123, 67,253,221, 37,264,285,
12027         19)(  5,120,101,246, 85, 45,145,277,121, 16,239,102, 42, 77,283,138)
12028        (  6,103, 91,110, 74,113,142,107,125,118,244,119, 40,111,278,104)
12029        (  7,188, 92,195, 75,198,143,192,126,203,245,204, 41,196,279,189)
12030        (  8, 69, 96,144, 73,130,152,243,136, 50,247,289, 36,  9,273, 87)
12031        ( 10,154, 99,229, 78,164,150,226,129,169,252,238, 44,162,286,223)
12032        ( 11,137, 90,127, 84,249,153, 39,128,288,240, 17, 35, 94,280, 70)
12033        ( 12,171, 97,178, 80,181,148,175,131,186,250,187, 46,179,284,172)
12034        ( 13, 18, 89, 59, 83,215,139,260,132, 33,242, 68, 49,213,275,257)
12035        ( 14,222, 95,161, 82,232,146,158,133,237,248,170, 48,230,282,155)
12036        ( 15,205, 88,263, 81, 28,140, 56,134,220,241,272, 47, 26,276, 53)
12037        ( 20,259, 64, 32,208, 54,270,217)( 21, 55, 66,219,207,258,268, 30)
12038        ( 23,106, 57,117,210,105,261,115)( 24,191, 58,202,211,190,262,200)
12039        ( 27,157, 65,236,214,156,269,234)( 29,174, 63,185,216,173,267,183)
12040        ( 31,225, 61,168,218,224,265,166)(109,193)(112,159,116,227)(114,176)
12041        (160,201,228,197)(163,167,235,231)(165,184,233,180)(177,199) ] ],
12042[ 5, 33292800, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1,
12043  "PSL(2, 2^4) wreath Sym(2)", [ "L", [ 2, 16 ], 2 ],
12044  [ (  1,  8, 14,  4,  2,  7, 17, 16, 12,  9, 11, 13, 10,  6,  5, 15,  3)
12045        ( 18,280,184, 72, 36, 24,289,186, 80, 43, 28,285,180, 74, 39, 32,275,
12046         171, 76, 48, 21,274,177, 85, 50, 29,281,181, 81, 44, 23,277,185, 71,
12047          35, 25,286,174, 70, 41, 34,288,182, 77, 45, 30,282,176, 73, 49, 20,
12048         273,178, 82, 38, 19,279,187, 84, 46, 26,283,183, 78, 40, 22,287,173,
12049          69, 42, 31,276,172, 75, 51, 33,284,179, 79, 47, 27,278,175, 83, 37)
12050        ( 52, 59, 65, 55, 53, 58, 68, 67, 63, 60, 62, 64, 61, 57, 56, 66, 54)
12051        ( 86,161,116,208,223, 92,170,118,216,230, 96,166,112,210,226,100,156,
12052         103,212,235, 89,155,109,221,237, 97,162,113,217,231, 91,158,117,207,
12053         222, 93,167,106,206,228,102,169,114,213,232, 98,163,108,209,236, 88,
12054         154,110,218,225, 87,160,119,220,233, 94,164,115,214,227, 90,168,105,
12055         205,229, 99,157,104,211,238,101,165,111,215,234, 95,159,107,219,224)
12056        (120,144,252,191,257,126,153,254,199,264,130,149,248,193,260,134,139,
12057         239,195,269,123,138,245,204,271,131,145,249,200,265,125,141,253,190,
12058         256,127,150,242,189,262,136,152,250,196,266,132,146,244,192,270,122,
12059         137,246,201,259,121,143,255,203,267,128,147,251,197,261,124,151,241,
12060         188,263,133,140,240,194,272,135,148,247,198,268,129,142,243,202,258),
12061      (  1,207,117,186,144,121,243, 78, 28, 51,193,165, 98, 52,208,236,177,
12062           8,122,107, 84,147, 36,244,163, 30, 68,191,233, 92)(  2,241,112, 33,
12063         153,189,250, 95, 18,221,202,182, 93,120,209, 83,181, 42,125,158, 81,
12064          62, 38,227,160, 13, 54,106,237,143)(  3,105,118,152,138,240,248, 27,
12065         34,204,199, 97, 86,205,219,185,178,127,124, 73, 79, 45, 40,159,166,
12066          64, 55,225,228,  7)(  4,224,109, 16,139,104,254,146, 19,255,197, 29,
12067         102,188,216,100,171,212,134,175, 76,130, 39, 74,164, 47, 57,157,234,
12068          58)(  5, 71,113, 50,142,155,251, 61, 21,238,194, 12, 88,103,220,151,
12069         172,246,129, 22, 85,198, 46, 91,154,217, 66,174,229,126)
12070        (  6,156,115, 67,140,223,245, 10, 20,119,203,148, 87,239,214, 32,187,
12071         195,131, 90, 69,215, 49,176,161,132, 56, 72,232, 41)(  9,275,111,288,
12072         145,274,247,282, 26,289,196,284, 94,273,213,287,179,280,128,277, 77,
12073         283, 43,278,162,285, 60,276,230,279)( 11, 37,108,169,149, 53,242,231,
12074         24, 17,190,114,101,137,206,253,180, 25,136,192, 80, 96, 35,210,168,
12075         183, 59,123,226, 75)( 14,258,116,271,150,257,252,265, 31,272,201,267,
12076         99,256,218,270,184,263,133,260, 82,266, 48,261,167,268, 65,259,235,
12077         262)( 15,173,110,135,141, 70,249, 44, 23,170,200, 63, 89,222,211)
12078        (264,286) ] ],
12079[ 6, 66585600, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.4",
12080  [ "L", [ 2, 16 ], 2 ],
12081  [ (  1,  6,125,136,102, 89, 55, 54,105,109,194,188)(  2,159,124,221, 98,242,
12082         61,258,116,143,198,222)(  3,108,126,204, 86,  4, 57,122,119, 92,191,
12083          52)(  5,210,132,255, 95,259, 65,139,113,228,189,154)
12084        (  7,193,120, 17, 91,123, 68, 88,106, 58,190,103)(  8, 40,131,289,101,
12085         21, 59, 37,114,279,203, 18)(  9, 74,128, 85, 94, 72, 60, 71,111, 75,
12086         196, 69)( 10,261,133,153, 96,225, 53,156,107,211,200,239)
12087        ( 11,227,121,170, 90,208, 64,241,112,262,201,137)( 12,278,135, 34, 93,
12088         38, 63,275,118, 24,195, 35)( 13,244,129,272, 99,140, 62,224,104,160,
12089         192,205)( 14,142,130,238, 87,157, 56,207,115,245,197,256)
12090        ( 15,176,134,187,100,174, 66,173,117,177,202,171)( 16, 23,127, 51, 97,
12091         276, 67, 20,110, 41,199,273)( 19,161, 39,216,285,254, 27,263, 48,148,
12092         283,237)( 22,212, 47,250,282,271, 31,144, 45,233,274,169)
12093        ( 25, 42, 46,284,288, 33)( 26, 76, 43, 80,281, 84)( 28,229, 36,165,
12094         277,220, 30,246, 44,267,286,152)( 29,280, 50)( 32,178, 49,182,287,186
12095         )( 70,162, 73,213, 81,247, 78,264, 82,145, 79,230)( 83,179)
12096        (138,164,226,206,166,243,214,268,252,146,266,235)(141,215,234,240,163,
12097         260,218,149,249,231,257,167)(147,232,223,155,158,209,217,251,248,265,
12098         269,150)(151,181,236,172,168,175,219,183,253,180,270,184),
12099      (  1,272, 29,124,203,171, 51,216,158,288,103, 68,233, 90, 84,137,255,
12100          12,260, 33,120,204,182, 39,220,154,289,114, 56,237, 86, 85,148,243,
12101          16,256, 34,131,192,186, 35,221,165,277,118, 52,238, 97, 73,152,239,
12102          17,267, 22,135,188,187, 46,209,169,273,119, 63,226,101, 69,153,250,
12103           5,271, 18,136,199,175, 50,205,170,284,107, 67,222,102, 80,141,254)
12104        (  2,269, 30,134,196,172, 48,217,168,281,104, 65,234,100, 77,138,252,
12105          13,270, 26,121,201,183, 49,213,155,286,115, 66,230, 87, 82,149,253,
12106           9,257, 31,132,202,179, 36,218,166,287,111, 53,235, 98, 83,145,240,
12107          14,268, 32,128,189,184, 47,219,162,274,116, 64,236, 94, 70,150,251,
12108          15,264, 19,133,200,185, 43,206,167,285,117, 60,223, 99, 81,151,247)
12109        (  3,259, 27,130,194,173, 38,214,164,279,105, 55,231, 96, 75,139,242,
12110          10,266, 24,122,191,180, 45,211,156,276,112, 62,228, 88, 72,146,249,
12111           7,258, 21,129,198,177, 37,208,163,283,109, 54,225, 95, 79,143,241,
12112           4,265, 28,126,190,174, 44,215,160,275,106, 61,232, 92, 71,140,248,
12113          11,262, 20,123,197,181, 41,207,157,282,113, 58,224, 89, 78,147,245)
12114        (  6,261, 23,125,193,176, 40,210,159,278,108, 57,227, 91, 74,142,244)
12115        (  8,263, 25,127,195,178, 42,212,161,280,110, 59,229, 93, 76,144,246)
12116     ] ],
12117[ 7, 66585600, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.2^2",
12118  [ "L", [ 2, 16 ], 2 ],
12119  [ (  1, 64,100,110,177,139,283,271,248,167, 29,225,206,193, 51,  5, 81, 94,
12120         127,171, 54,287,118,245,150, 28,259,214,159, 46,226, 70,196,136)
12121        (  2,200,102,  8,183, 88,280,186,241,286, 33,242,218, 23, 38,209, 74,
12122          43,124, 69, 60,134,103, 58,151,113,262,146,164,267,231,155,199,238)
12123        (  3,285,101,246,184, 20,276,220,244, 48, 22, 72,213,125, 35, 56, 83,
12124         111,126,137, 62,270,112,160,148,232,257,197,170, 12,234, 87,195,187)
12125        (  4,217, 91, 42,175, 71,281,135,239, 65, 32,106,211,142, 45,260, 78,
12126         162,131,222, 53,202,119,  7,149, 96,263,180,156,284,237,240,201, 34)
12127        (  6, 47, 90, 76,179,122,273, 67,253,116, 24,140,215,261, 44,158, 80,
12128         230,121,188, 68, 15,115, 92,144,181,258,282,169,250,235, 19,191,221)
12129        (  9,132, 86, 59,185,105,279,152,249,269, 27,157,216,227, 36,192, 85)
12130        ( 10,166, 97,229,172,190,289, 16,251, 99, 25,174,207,278, 50,243, 82,
12131          26,123,205, 57, 49,107, 75,145,130,256, 61,168,114,228,138,198,272)
12132        ( 11,268, 95,161,182,224,274,203,255, 14, 30, 89,212,176, 37,277, 84,
12133         247,133, 18, 55,219,108, 41,141, 79,264,129,154, 63,236,104,194,153)
12134        ( 13, 98, 93,178,173,275,288,254,252, 31, 21,208,210, 40, 39, 73, 77,
12135         128,120, 52, 66,117,109,143,147,266,265,163,165,233,223,189,204, 17),
12136      (  1,142,246,234, 87, 63)(  2,148,239,227, 93, 64)(  3,151,242,231,101,
12137          62)(  4,146,254,232, 88, 66)(  5,141,243,226, 90, 56)
12138        (  6,144,251,223, 97, 52)(  7,150,255,228, 99, 68)(  8,149,240,233,
12139          86, 57)(  9,145,247,230, 94, 60)( 10,152,249,224,100, 55)
12140        ( 11,139,253,225, 95, 67)( 12,137,244,229, 98, 53)( 13,138,250,222,
12141          91, 59)( 14,153,245,235,102, 58)( 15,140,248,237, 96, 54)
12142        ( 16,147,241,236, 89, 61)( 17,143,252,238, 92, 65)( 18,193,178, 47,
12143         206,284)( 19,199,171, 40,212,285)( 20,202,174, 44,220,283)
12144        ( 21,197,186, 45,207,287)( 22,192,175, 39,209,277)( 23,195,183, 36,
12145         216,273)( 24,201,187, 41,218,289)( 25,200,172, 46,205,278)
12146        ( 26,196,179, 43,213,281)( 27,203,181, 37,219,276)( 28,190,185, 38,
12147         214,288)( 29,188,176, 42,217,274)( 30,189,182, 35,210,280)
12148        ( 31,204,177, 48,221,279)( 32,191,180, 50,215,275)( 33,198,173, 49,
12149         208,282)( 34,194,184, 51,211,286)( 69,261,110, 81,257,114)
12150        ( 70,267,103, 74,263,115)( 71,270,106, 78,271,113)( 72,265,118, 79,
12151         258,117)( 73,260,107)( 75,269,119)( 76,268,104, 80,256,108)
12152        ( 77,264,111)( 82,272,109)( 83,259,112, 84,266,105)( 85,262,116)
12153        (120,125,127,132,121,131)(122,134,123,129,135,130)(126,133,136)
12154        (154,159,161,166,155,165)(156,168,157,163,169,164)(160,167,170) ] ],
12155[ 8, 133171200, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.D_8",
12156  [ "L", [ 2, 16 ], 2 ],
12157  [ (  1,145, 16, 43,  7,162, 15, 94, 13, 26)(  2,213,  4,128, 14,281, 11, 77,
12158         6,247)(  3,264, 17,230, 10,111, 12,196,  8, 60)(  5,179)
12159        ( 18,137,152, 50, 41,160,168,100, 98, 30)( 19,205,140,135, 48,279,164,
12160         83, 91,251)( 20,256,153,237, 44,109,165,202, 93, 64)( 21,120,150,288,
12161         45, 75,159,253, 87,217)( 22,171,141,186, 39,177,158,185, 90,183)
12162        ( 23,239,138,220, 38,126,167,287, 96, 81)( 24,154,151,101, 47)
12163        ( 25, 52,139,271, 51,228,163,117, 97,200)( 27,103,148,203, 42, 58,156,
12164         270,102,234)( 28, 69,142,254, 36,211,157,134, 99,285)
12165        ( 29,188,144, 67, 37,262,170,236, 95,115)( 31,273,147, 84, 40,245,155,
12166         219, 89,132)( 32, 86,149, 33, 35,143,169, 49, 92,166)
12167        ( 34,222,146,118, 46,194,161, 66, 88,268)( 53,207,259,136,235,282,113,
12168         80,193,246)( 54,258,272,238,231,112,114,199,195, 59)( 55,122,269,289,
12169         232, 78,108,250,189,212)( 56,173,260,187,226,180,107,182,192,178)
12170        ( 57,241,257,221,225,129,116,284,198, 76)( 61,105,267,204,229)
12171        ( 62, 71,261,255,223,214,106,131,201,280)( 63,190,263, 68,224,265,119,
12172         233,197,110)( 65,275,266, 85,227,248,104,216,191,127)
12173        ( 70,210,242,121,218,276,130, 82,278,249)( 72,125,252,274,215)
12174        ( 73,176,243,172,209,174,124,184,277,181)( 74,244,240,206,208,123,133,
12175         286,283, 79), (  1,240, 79, 48,152,173, 24, 94,131,208,  5,253, 74,
12176          47,146,187, 25, 86,121,215, 14,254, 71, 41,145,182, 21, 90,134,210,
12177          13,248, 85, 42,137,172, 28, 99,135,207,  7,247, 80, 38,141,185, 23,
12178          98,129,221,  8,239, 70, 45,150,186, 20, 92,128,216,  4,243, 83, 40,
12179         149,180, 34, 93,120,206, 11,252, 84, 37,143,179, 29, 89,124,219,  6,
12180         251, 78, 51,144,171, 19, 96,133,220,  3,245, 77, 46,140,175, 32, 91,
12181         132,214, 17,246, 69, 36,147,184, 33, 88,126,213, 12,242, 73, 49,142,
12182         183, 27,102,127,205,  2,249, 82, 50,139,177, 26, 97,123,209, 15,244,
12183          81, 44,153,178, 18, 87,130,218, 16,241, 75, 43,148,174, 22,100,125,
12184         217, 10,255, 76, 35,138,181, 31,101,122,211,  9,250, 72, 39,151,176,
12185          30, 95,136,212)( 52,189,266,235,118, 54,194,264,233,106, 56,202,261,
12186         234,112, 68,195,256,223,113, 65,203,258,228,111, 63,191,260,236,108,
12187          64,197,272,229,103, 53,198,269,237,105, 58,196,267,225,107, 66,193,
12188         268,231,119, 59,188,257,232,116, 67,190,262,230,114, 55,192,270,227,
12189         115, 61,204,263,222,104, 62,201,271,224,109, 60,199,259,226,117, 57,
12190         200,265,238,110)(154,274,164,286,169,275,160,281,165,276,158,287,159,
12191         285,163,289,161,273,155,283,167,288,156,279,162,284,157,277,168,278,
12192         166,282,170,280) ] ],
12193[ 9, 133171200, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.D_8",
12194  [ "L", [ 2, 16 ], 2 ],
12195  [ (  1, 40,207,197)(  2,227,212, 78)(  3,193,205, 44)(  4, 23,209, 95)
12196        (  5, 91,208, 27)(  6,210,214, 10)(  7,176,215,248)(  8, 74,206,231)
12197        (  9,125,219,163)( 11,244,211,180)( 12,261,217, 61)( 13, 57,216,265)
12198        ( 14,142,220,112)( 15,159,213,129)( 16,108,218,146)( 17,278,221,282)
12199        ( 18, 39, 88,191)( 19,226, 93, 72)( 20,192, 86, 38)( 21, 22, 90, 89)
12200        ( 24,175, 96,242)( 25, 73, 87,225)( 26,124,100,157)( 28,243, 92,174)
12201        ( 29,260, 98, 55)( 30, 56, 97,259)( 31,141,101,106)( 32,158, 94,123)
12202        ( 33,107, 99,140)( 34,277,102,276)( 35, 37,190,188)( 36,224,195, 69)
12203        ( 41,173,198,239)( 42, 71,189,222)( 43,122,202,154)( 45,241,194,171)
12204        ( 46,258,200, 52)( 47, 54,199,256)( 48,139,203,103)( 49,156,196,120)
12205        ( 50,105,201,137)( 51,275,204,273)( 53,233,263, 81)( 58,182,266,251)
12206        ( 59, 80,257,234)( 60,131,270,166)( 62,250,262,183)( 63,267,268, 64)
12207        ( 65,148,271,115)( 66,165,264,132)( 67,114,269,149)( 68,284,272,285)
12208        ( 70,223,229, 76)( 75,172,232,246)( 77,121,236,161)( 79,240,228,178)
12209        ( 82,138,237,110)( 83,155,230,127)( 84,104,235,144)( 85,274,238,280)
12210        (109,184,147,254)(111,133,151,169)(113,252,143,186)(116,150,152,118)
12211        (117,167,145,135)(119,286,153,288)(126,185,164,247)(128,134,168,162)
12212        (130,253,160,179)(136,287,170,281)(177,181,249,245)(187,283,255,279),
12213      (  1,279, 56, 11,109, 57,130,103,278,124)(  2,194, 68,164,118,227,127,
12214          69,286, 22)(  3,143, 54,147,105,142,122,137,275,141)
12215        (  4, 92, 64, 45,114,176,129,239,287,209)(  5,  7, 58, 62,113,108,125,
12216         120,273,277)(  6,126, 52,283,107)(  8, 75, 65, 28,104,193,136,154,
12217         288,226)(  9,262, 60,266,111,261,128,256,281,260)( 10,245, 66,215,
12218         106, 91,132, 35,284,175)( 12,177, 61,249,117,210,123, 86,285, 39)
12219        ( 13, 41, 63,181,112,244,134,205,276, 90)( 14, 24, 53,198,119,159,135,
12220         222,280, 73)( 15,211, 55, 96,115, 40,131,171,282,243)
12221        ( 16,228, 59, 79,116, 23,121,188,289,158)( 17,160, 67,232,110, 74,133,
12222         18,274,192)( 19,189,204,170,169,237,229, 76, 82, 31)( 20,138,190,153,
12223         156,152,224,144, 71,150)( 21, 87,200, 51,165,186,231,246, 83,218)
12224        ( 25, 70,201, 34,155,203,238,161, 84,235)( 26,257,196,272,162,271,230,
12225         263, 77,269)( 27,240,202,221,157,101,234, 42, 80,184)
12226        ( 29,172,197,255,168,220,225, 93, 81, 48)( 30, 36,199,187,163,254,236,
12227         212, 72, 99)( 32,206,191,102,166, 50,233,178, 78,252)
12228        ( 33,223,195, 85,167)( 37,148,173,146,241,151,207,140, 88,149)
12229        ( 38, 97,183, 44,250,185,214,242,100,217)( 43,267,179,265,247,270,213,
12230         259, 94,268)( 46,182,180,248,253,219,208, 89, 98, 47)
12231        ( 49,216,174, 95,251)(145,258) ] ],
12232[ 10, 133171200, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.Q_8",
12233  [ "L", [ 2, 16 ], 2 ],
12234  [ (  1, 17, 51, 40, 23, 33,135,120)(  2,238, 41, 57, 26,152,131,171)
12235        (  3,255, 48, 74, 22,271,132,103)(  4,204, 42, 91, 28,169,129,205)
12236        (  5,272, 47,108, 20,254,133, 69)(  6, 34, 50,125, 18, 16,136, 35)
12237        (  7, 68, 43,142, 29,186,121,222)(  8,102, 45,159, 27,220,123,188)
12238        (  9,153, 46,176, 19,237,126, 52)( 10,221, 38,193, 25,101,130,154)
12239        ( 11,170, 44,210, 21,203,127, 86)( 12,187, 36,227, 24, 67,128,137)
12240        ( 13,119, 37,244, 31, 84,124,256)( 14, 85, 39,261, 30,118,122,239)
12241        ( 15,289, 49,278, 32,288,134,273)( 53,230,143, 63,179,138,233,177)
12242        ( 54,247,150, 80,175,257,234,109)( 55,196,144, 97,181,155,231,211)
12243        ( 56,264,149,114,173,240,235, 75)( 58, 60,145,148,182,172,223,228)
12244        ( 59, 94,147,165,180,206,225,194)( 61,213,140,199,178, 87,232,160)
12245        ( 62,162,146,216,174,189,229, 92)( 64,111,139,250,184, 70,226,262)
12246        ( 65, 77,141,267,183,104,224,245)( 66,281,151,284,185,274,236,279)
12247        ( 71,243,269, 81,107,258,251,116)( 72,192,263, 98,113,156,248,218)
12248        ( 73,260,268,115,105,241,252, 82)( 76, 90,266,166,112,207,242,201)
12249        ( 78,209,259,200,110, 88,249,167)( 79,158,265,217,106,190,246, 99)
12250        ( 83,277,270,285,117,275,253,286)( 89,198,161, 95,215,157,197,212)
12251        ( 93, 96,164,163,214,208,191,195)(100,283,168,282,219,276,202,280),
12252      (  1,249, 74, 63,  5,248, 81, 53)(  2,239, 79, 57, 12,243, 78, 64)
12253        (  3,246, 85, 66,  7,254, 77, 65)(  4,242, 72, 55)(  6,250, 73, 61,
12254          13,240, 69, 62)(  8,255, 83, 58, 16,247, 82, 54)(  9,252, 71, 59,
12255          17,253, 75, 67)( 10,251, 70, 52, 11,244, 80, 56)( 14,241, 76, 68,
12256          15,245, 84, 60)( 18,164,125,216, 22,163,132,206)( 19,154,130,210,
12257          29,158,129,217)( 20,161,136,219, 24,169,128,218)( 21,157,123,208)
12258        ( 23,165,124,214, 30,155,120,215)( 25,170,134,211, 33,162,133,207)
12259        ( 26,167,122,212, 34,168,126,220)( 27,166,121,205, 28,159,131,209)
12260        ( 31,156,127,221, 32,160,135,213)( 35, 45, 40, 46, 39, 44, 47, 36)
12261        ( 37, 42, 51, 49, 41, 50, 43, 48)( 86,283,108,267, 90,282,115,257)
12262        ( 87,273,113,261, 97,277,112,268)( 88,280,119,270, 92,288,111,269)
12263        ( 89,276,106,259)( 91,284,107,265, 98,274,103,266)( 93,289,117,262,
12264         101,281,116,258)( 94,286,105,263,102,287,109,271)( 95,285,104,256,
12265          96,278,114,260)( 99,275,110,272,100,279,118,264)(137,198,142,199,
12266         141,197,149,189)(138,188,147,193,148,192,146,200)(139,195,153,202,
12267         143,203,145,201)(140,191)(144,204,151,194,152,196,150,190)
12268        (171,181,176,182,175,180,183,172)(173,178,187,185,177,186,179,184)
12269        (222,232,227,233,226,231,234,223)(224,229,238,236,228,237,230,235) ]
12270 ],
12271[ 11, 133171200, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1,
12272  "PSL(2, 2^4)^2.(2 x 4)", [ "L", [ 2, 16 ], 2 ],
12273  [ (  1,254,121,150, 29,210,166,266)(  2,252,131,142, 30,215,154,271)
12274        (  3,242,127,146, 34,209,168,264)(  4,246,129,153, 22,219,162,258)
12275        (  5,253,128,139, 21,212,163,272)(  6,251,130,137, 33,206,167,267)
12276        (  7,245,126,143, 24,211,160,262)(  8,248,136,141, 32,213,156,259)
12277        (  9,241,123,144, 27,221,158,270)( 10,255,124,151, 26,207,157,263)
12278        ( 11,239,135,138, 31,216,159,268)( 12,244,132,147, 18,220,155,269)
12279        ( 13,249,120,152, 19,218,165,261)( 14,250,125,149, 28,205,169,257)
12280        ( 15,247,122,140, 25,214,170,260)( 16,240,133,148, 23,217,164,256)
12281        ( 17,243,134,145, 20,208,161,265)( 35, 50, 36, 48, 46, 40, 47, 45)
12282        ( 37, 38, 42, 44, 51, 39, 49, 43)( 52,118, 87,201, 80,227,183,283)
12283        ( 53,116, 97,193, 81,232,171,288)( 54,106, 93,197, 85,226,185,281)
12284        ( 55,110, 95,204, 73,236,179,275)( 56,117, 94,190, 72,229,180,289)
12285        ( 57,115, 96,188, 84,223,184,284)( 58,109, 92,194, 75,228,177,279)
12286        ( 59,112,102,192, 83,230,173,276)( 60,105, 89,195, 78,238,175,287)
12287        ( 61,119, 90,202, 77,224,174,280)( 62,103,101,189, 82,233,176,285)
12288        ( 63,108, 98,198, 69,237,172,286)( 64,113, 86,203, 70,235,182,278)
12289        ( 65,114, 91,200, 79,222,186,274)( 66,111, 88,191, 76,231,187,277)
12290        ( 67,104, 99,199, 74,234,181,273)( 68,107,100,196, 71,225,178,282),
12291      (  1,125,118, 78,190,234,  4,176,104, 61,199,251)(  2, 57,114,248,188,
12292         132, 16, 74,105,231,191,183)(  3,227,106,180,189, 64, 12,244,103,129,
12293         203, 81)(  5,210,110, 95,196,268, 15, 23,119,282,198, 47)
12294        (  6,108,112,197,200, 13)(  7,142,109,146,194,149)(  8, 91,111,265,
12295         202, 30, 17,278,113, 44,192,217)(  9,261,117, 27,204,285, 11, 40,107,
12296         214,195, 98)( 10,193,115)( 14,159,116,163,201,166)( 18,136,288, 79,
12297          37,226,208,178, 87, 60,267,253)( 19, 68,284,249, 35,124,220, 76, 88,
12298         230,259,185)( 20,238,276,181, 36, 56,216,246, 86,128,271, 83)
12299        ( 21,187,274, 62, 46,243,205,127,101, 77,258,236)( 22,221,280, 96, 43,
12300         260,219, 25,102,281,266, 49)( 24,153,279,147, 41,141,211,144, 92,145,
12301         262,151)( 26,272,287, 28, 51,277,215, 42, 90,213,263,100)
12302        ( 29,255,273,130, 50, 73,207,229, 89,179,257, 66)( 31,170,286,164, 48,
12303         158,218,161, 99,162,269,168)( 32, 34,289,283, 45, 39,209,212, 93, 94,
12304         264,270)( 33, 85,275,232, 38,175,206, 59, 97,247,256,134)
12305        ( 52,131,254, 69,122,237, 72,173,223, 55,182,240)( 53, 63,250,239,120,
12306         135, 84, 71,224,225,174,172)( 54,233,242,171,121, 67, 80,241,222,123,
12307         186, 70)( 58,148,245,137,126,152, 75,139,228,140,177,138)
12308        ( 65,165,252,154,133,169, 82,156,235,157,184,155)(150,160) ] ],
12309[ 12, 133171200, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.8",
12310  [ "L", [ 2, 16 ], 2 ],
12311  [ (  1,271, 66,196,166,114,240,142, 20, 93,214, 39,289,177,225, 82)
12312        (  2,152, 54, 94,163, 46,255,176, 21, 76,205,260,287,194,234,116)
12313        (  3,101, 61, 43,170,182,242, 74, 18,263,219,192,285,109,223,150)
12314        (  4, 84, 52,264,168,199,251,108, 19,144,207, 90,282, 41,238,184)
12315        (  5,288, 58,230,167, 12,254, 57, 26,161,216,243,278, 24,229,218)
12316        (  6, 33, 59,213,158,284,245,227, 31,  8,220, 56,281,160,233,252)
12317        (  7,237, 65,  9,169, 63,247,159, 29,246,210, 22,280,211,226,286)
12318        ( 10, 50, 68,179,157, 80,239,261, 32,195,217,107,274,143,224, 99)
12319        ( 11,135, 62,128,164,131,249,125, 28,127,215,124,283,126,232,133)
12320        ( 13,118, 53,145,156, 97,248, 40, 34,178,208, 73,273,262,236,201)
12321        ( 14, 16, 67, 60,162,165,250,244, 23, 25,212,209,277,279,228,235)
12322        ( 15,203, 64,111,155,148,241, 91, 27, 42,221,175,276, 75,222,269)
12323        ( 17,186, 55, 77,154,267,253,193, 30,110,206,141,275, 92,231, 48)
12324        ( 35,272,185,191, 81,103,257,151,190, 98,112, 36,153,173, 89, 78)
12325        ( 37,102,180, 38, 85,171,259, 83,188,268,117,189,149,105, 87,146)
12326        ( 44, 51,187,174, 72, 69,256,270,202,200,115,104,138,139, 88, 95)
12327        ( 45,136,181,123, 79,120,266,134,198,132,113,121,147,122, 96,129)
12328        ( 47,119,172,140, 71, 86,265, 49,204,183,106, 70,137,258,100,197),
12329      (  1,143,236, 85,215, 56,131, 48)(  2,262,223,272,206,260,121,269)
12330        (  3, 92,231,187,207, 90,129,184)(  4, 24,229,255,217,277,135,116)
12331        (  5,126,235, 17,211,226,136,218)(  6,160,227,170,210,158,125,167)
12332        (  7,228,238,221,209,124,133, 14)(  8,245,234,289,220,107,123, 31)
12333        (  9,194,230,204,213,192,128,201)( 10,177,224,102,214,175,122, 99)
12334        ( 11, 58,233, 51,205,141,134, 82)( 12, 41,222,153,219, 73,130, 65)
12335        ( 13,279,237,119,208, 22,127,252)( 15, 75,232, 68,216, 39,120,150)
12336        ( 16,109,225, 34,212,243,132,286)( 18,144,253, 81,283, 67,114, 38)
12337        ( 19,263,240,268,274,271,104,259)( 20, 93,248,183,275,101,112,174)
12338        ( 21, 25,246,251,285,288,118,106)( 23,161,244,166,278,169,108,157)
12339        ( 26,195,247,200,281,203,111,191)( 27,178,241, 98,282,186,105, 89)
12340        ( 28, 59,250, 47,273,152,117, 72)( 29, 42,239,149,287, 84,113, 55)
12341        ( 30,280,254,115,276, 33,110,242)( 32, 76,249, 64,284, 50,103,140)
12342        ( 35,137,151, 83, 79, 62, 63, 46)( 36,256,138,270, 70,266, 53,267)
12343        ( 37, 86,146,185, 71, 96, 61,182)( 40,154,142,168, 74,164, 57,165)
12344        ( 43,188,145,202, 77,198, 60,199)( 44,171,139,100, 78,181, 54, 97)
12345        ( 45, 52,148, 49, 69,147, 66, 80)( 87,265,172,258)( 88, 95,180,173)
12346        ( 91,163,176,156)( 94,197,179,190)(155,261)(162,193)(189,264) ] ],
12347[ 13, 266342400, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2:Q_8:2",
12348  [ "L", [ 2, 16 ], 2 ],
12349  [ (  1, 41, 61,101,110,140,268,179)(  2,279, 65,237,105,208,270,162)
12350        (  3,211, 66,169,104,276,269,230)(  4,262, 60, 16,109, 55,271,111)
12351        (  5,245, 57, 33,113,123,267,196)(  6, 24, 62,135,114,191,260,247)
12352        (  7, 58, 67,118,106,259,264,  9)(  8,143, 64,186,103, 38,265, 94)
12353        ( 10, 92, 59,152,115,174,256, 43)( 11,126, 63,203,107,242,261, 26)
12354        ( 12,194, 56,254,108, 21,266,128)( 13,177, 52, 50,112, 89,263,145)
12355        ( 14,228, 54,220,117,157,257,281)( 15,160, 53,288,116,225,258,213)
12356        ( 17, 75, 68, 84,119, 72,272, 77)( 18, 45,129, 97,195,141,251,176)
12357        ( 19,283,133,233,190,209,253,159)( 20,215,134,165,189,277,252,227)
12358        ( 22,249,125, 29,198,124,250,193)( 23, 28,130,131,199,192,243,244)
12359        ( 25,147,132,182,188, 39,248, 91)( 27, 96,127,148,200,175,239, 40)
12360        ( 30,181,120, 46,197, 90,246,142)( 31,232,122,216,202,158,240,278)
12361        ( 32,164,121,284,201,226,241,210)( 34, 79,136, 80,204, 73,255, 74)
12362        ( 35, 44, 95, 93,144,149,183,171)( 36,282, 99,229,139,217,185,154)
12363        ( 37,214,100,161,138,285,184,222)( 42,146, 98,178,137, 47,180, 86)
12364        ( 48,231, 88,212,151,166,172,273)( 49,163, 87,280,150,234,173,205)
12365        ( 51, 78,102, 76,153, 81,187, 69)( 70,289, 82,238, 71,221, 83,170)
12366        (155,274,286,235,224,207,219,168)(156,206,287,167,223,275,218,236),
12367      (  1, 48,216,174, 71, 98,237,108,136,155,246,262)(  2, 42,211,171, 82,
12368          97,225,105,132,169,244,272)(  3, 47,220,176, 85, 87,229,109,120,167,
12369         250,259)(  4, 37,217,186, 74,102,223,110,126,154,252,267)
12370        (  5, 45,214,175, 79, 95,226,113,129,158,249,265)(  6, 51,206,178, 75,
12371         86,235,114,123,156,251,271)(  7, 35,218,182, 72, 88,234,118,125,170,
12372         240,263)(  8, 41,205,184, 80, 89,224,115,135,159,255,257)
12373        (  9, 49,213,185, 77,100,230,117,128,168,247,270)( 10, 39,215,180, 73,
12374         96,231,107,130,163,243,266)( 11, 44,209,181, 78, 90,232,112,124,164,
12375         248,260)( 12, 38,207,183, 84, 91,238,104,127,160,239,269)
12376        ( 13, 50,210,187, 70, 93,228,103,133,165,242,258)( 14, 46,208,173, 81,
12377         101,227,119,121,161,245,256)( 15, 43,219,179, 83, 94,236,111,134,162,
12378         253,264)( 16, 40,221,172, 76, 92,222,116,131,157,241,268)
12379        ( 17, 36,212,177, 69, 99,233,106,122,166,254,261)( 18,150, 29,140, 20,
12380         149, 33,142, 34,138, 25,143)( 19,144, 24,137, 31,148, 21,139, 30,152,
12381         23,153)( 22,147, 27,141, 28,146)( 26,151)( 32,145)( 52,286,199, 55,
12382         275,200, 67,278,204, 53,280,194)( 54,285,203, 57,289,189, 59,279,188,
12383         65,284,191)( 56,283,197)( 58,273,201, 63,276,190, 64,288,193, 68,274,
12384         195)( 60,287,196, 66,281,202)( 61,277,198)( 62,282,192),
12385      (  1,206, 25,115, 97,163,204,  4,257, 23,285, 96,129,202,174,260, 74,
12386         286,232,122,151,179, 56, 69,218,229,105,148,162, 68)(  2, 19, 30, 98,
12387         95,197,191,259,261,278,283,130,134,185,175, 73, 82,235,224,139,145,
12388          60, 52,205,212,110,114,165,170, 17)(  3,138, 26, 64, 86,214,195,106,
12389         267,159,289, 11,121, 32,183, 90, 78,201,225,258,142,281, 62,120,219,
12390         178,107, 80,167,238)(  5, 70, 31,234, 88,146,196, 55,256,210,280,113,
12391         131,168,187)(  6,274, 28,132,100,180,192, 72,269,227,275,147,128, 66,
12392         171,209, 76,116,233,156,153,  9, 53, 18,217, 93,112,199,157,272)
12393        (  7,240, 24,251, 92,248,194,242,262,244,279,249,126,253,177,243, 75,
12394         252,228,241,143,247, 58,239,211,246,109,250,160,255)(  8,104, 29,166,
12395         102, 10,189, 21,268, 91,282,198,123,270,176,277, 79,133,236,173,141,
12396          77, 65,222,207,144,111, 63,154,221)( 12,155, 34, 13, 87, 27,200, 89,
12397         265,193,276,266,125,287,181,124, 83,184,226, 71,150,230, 54,137,213,
12398          59,103,216,161,119)( 14,223, 20,149, 94, 61,188,208,263,108,284,164,
12399         136, 15,172, 22, 81, 99,231,190,140,264, 57,273,215,127,117,182,158,
12400          85)( 16, 36, 33, 47,101, 44,203, 38,271, 40,288, 45,135, 49,186, 39,
12401         84, 48,237, 37,152, 43, 67, 35,220, 42,118, 46,169, 51)( 41,254) ] ],
12402[ 14, 266342400, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1, "PSL(2, 2^4)^2.SA_16",
12403  [ "L", [ 2, 16 ], 2 ],
12404  [ (  1,213,  5,208, 14,212,  3,219, 10,210,  2,220)(  4,218,  8,207, 15,214,
12405         6,206, 16,205,  9,209)(  7,216, 13,211, 12,217)( 11,221)( 17,215)
12406        ( 18,247, 39,123, 31,246, 37,134, 27,244, 36,135)( 19,254, 35,128, 22,
12407         242, 48,127, 20,253, 44,125)( 21,252, 42,122, 32,248, 40,121, 33,239,
12408         43,124)( 23,240, 50,120, 26,243, 38,133, 25,241, 49,129)
12409        ( 24,250, 47,126, 29,251, 41,131, 30,245, 46,132)( 28,255, 45,136)
12410        ( 34,249, 51,130)( 52, 60, 56, 55, 65, 59, 54, 66, 61, 57, 53, 67)
12411        ( 58, 63, 64)( 62, 68)( 69,230,277,106, 82,229,275,117, 78,227,274,118
12412         )( 70,237,273,111, 73,225,286,110, 71,236,282,108)( 72,235,280,105,
12413          83,231,278,104, 84,222,281,107)( 74,223,288,103, 77,226,276,116, 76,
12414         224,287,112)( 75,233,285,109, 80,234,279,114, 81,228,284,115)
12415        ( 79,238,283,119)( 85,232,289,113)( 86,264,158,191, 99,263,156,202,
12416          95,261,155,203)( 87,271,154,196, 90,259,167,195, 88,270,163,193)
12417        ( 89,269,161,190,100,265,159,189,101,256,162,192)( 91,257,169,188, 94,
12418         260,157,201, 93,258,168,197)( 92,267,166,194, 97,268,160,199, 98,262,
12419         165,200)( 96,272,164,204)(102,266,170,198)(137,145,141,140,150,144,
12420         139,151,146,142,138,152)(143,148,149)(147,153)(171,179,175,174,184,
12421         178,173,185,180,176,172,186)(177,182,183)(181,187),
12422      (  1,199,112, 47,275,126, 79,222,203, 10, 46,105,132,283,228, 84)
12423        (  2, 63,119,149,287,262, 77,239,192,163, 38, 88,127,215,227, 33)
12424        (  3,131,113,234,288,  7, 80,103,200,282, 41, 71,120,198,231, 50)
12425        (  4, 97,110,217,278, 24, 70, 52,204,146, 49,258,128,249,226,169)
12426        (  5,165,106, 98,280,211, 74, 18,189, 61, 51,139,134,266,230,254)
12427        (  6, 29,104, 64,289,143, 83,256,196,248, 39,156,123, 96,229,220)
12428        (  8,216,108, 30,274, 58, 85,137,202,265, 43,241,124,164,225,101)
12429        (  9,250,107,166,276, 92, 76,205,193, 27, 36, 54,136,147,236,271)
12430        ( 11,233,118, 13,284,109, 81,273,194, 78, 35,190,129, 45,224,135)
12431        ( 12,114,115,285,279, 75, 69,188,197, 44, 37,122,130,232,237, 16)
12432        ( 14,182,116,183,286,177, 82,171,201,180, 48,173,133,181,235,186)
12433        ( 15,267,111,251,277,160, 72, 86,195,214, 40, 20,121, 62,238,152)
12434        ( 17,148,117,268,281,245, 73,154,191, 95, 42,207,125, 28,223, 67)
12435        ( 19, 53, 68,153,151,270,264,247,243,158,157, 89, 93,212,210, 23)
12436        ( 21, 87, 59,221,142, 32,257, 60,255,141,168,259, 94,246,209,159)
12437        ( 22,155, 55,102,144,219,261, 26,240, 56,170,140,100,263,213,244)
12438        ( 25,206, 57, 34,138, 66,272,145,253,260,162,242, 90,161,208, 91)
12439        ( 31,172, 65,187,150,185,269,179,252,175,167,174, 99,178,218,176) ] ],
12440[ 15, 532684800, 0, "4c", [ [ 256, 1 ], [ 32, 1 ] ], 1,
12441  "PGammaL(2, 2^4) wreath Sym(2)", [ "L", [ 2, 16 ], 2 ],
12442  [ (  1,241,274,159, 17,245,282,166, 16,253,286,162)(  2,244,289,160, 10,251,
12443         288,168, 14,247,273,156)(  3,240,278,170,  7,248,285,169, 15,252,281,
12444         154)(  4,249,280,157, 11,246,276,164,  8,242,283,161)(  5,250,277,165
12445         )(  6,255,279,163, 13,254,287,167,  9,239,275,155)( 12,243,284,158)
12446        ( 18,224,121,142, 34,228,129,149, 33,236,133,145)( 19,227,136,143, 27,
12447         234,135,151, 31,230,120,139)( 20,223,125,153, 24,231,132,152, 32,235,
12448         128,137)( 21,232,127,140, 28,229,123,147, 25,225,130,144)
12449        ( 22,233,124,148)( 23,238,126,146, 30,237,134,150, 26,222,122,138)
12450        ( 29,226,131,141)( 35,105,172, 91, 51,109,180, 98, 50,117,184, 94)
12451        ( 36,108,187, 92, 44,115,186,100, 48,111,171, 88)( 37,104,176,102, 41,
12452         112,183,101, 49,116,179, 86)( 38,113,178, 89, 45,110,174, 96, 42,106,
12453         181, 93)( 39,114,175, 97)( 40,119,177, 95, 47,118,185, 99, 43,103,
12454         173, 87)( 46,107,182, 90)( 52, 71,206,261, 68, 75,214,268, 67, 83,
12455         218,264)( 53, 74,221,262, 61, 81,220,270, 65, 77,205,258)
12456        ( 54, 70,210,272, 58, 78,217,271, 66, 82,213,256)( 55, 79,212,259, 62,
12457         76,208,266, 59, 72,215,263)( 56, 80,209,267)( 57, 85,211,265, 64, 84,
12458         219,269, 60, 69,207,257)( 63, 73,216,260)(188,190,189,193,204,194,
12459         197,200,203,202,201,196)(191,198,195)(192,199),
12460      (  1, 88,235, 60,277,137, 96, 48, 59,124,146, 11, 37,229,128,282)
12461        (  2,173,238,196,278,154,100,252, 67, 73,140,113, 47,263,131,214)
12462        (  3,224,230,281,273, 86, 99, 65, 56,141,147, 45, 42,127,129, 10)
12463        (  4,105,234,264,284,205, 87,184, 68,192,142,164, 49,246,135, 78)
12464        (  5,139,232, 43,280,120, 95, 14, 54,226,145,283, 35, 93,133, 61)
12465        (  6,156,236,247,288, 69, 89,116, 64,260,148,215, 36,178,136,197)
12466        (  7, 20,228, 26,279, 18, 92, 31, 58, 22,143, 28, 41, 25,126, 27)
12467        (  8,122,231,  9,275,222, 94,286, 52, 90,150, 62, 39,144,130, 44)
12468        ( 12,207,223,179,289,188, 91,167, 66,243,152, 79, 38,110,132,265)
12469        ( 13,258,233,213,274,171,102,201, 57,158,151,249, 50, 76,123,112)
12470        ( 15,241,237, 77,276,103, 98,269, 63,209,138,181, 51,195,125,163)
12471        ( 16, 71,225,111,285,256, 97,218, 53,175,153,198, 40,161,134,248)
12472        ( 17,190,227,162,287,239,101, 82, 55,107,149,266, 46,212,121,180)
12473        ( 19,177, 34,194, 23,160, 32,245, 33, 75, 21,109, 30,262, 29,211)
12474        ( 70,174,119,200,261,165,219,240,186, 85,191,108,166,270,250,220)
12475        ( 72,106,115,268,267,216,206,172,187,204,193,159,168,253,254, 84)
12476        ( 74,157,117,251,271, 80,208,104,183,272,199,210,155,185,255,203)
12477        ( 81,259,114,217,257,182,221,189,176,170,202,244,169, 83,242,118) ] ],
12478[16, Factorial(289)/2,1,"2",[[288,1]],287, "Alt(289)", ["A",289, 1], "Alt"],
12479[17, Factorial(289),0,"2",[[288, 1]],289, "Sym(289)", ["A",289, 1], "Sym"],
12480[ 18, 867, 2, "1", [ [ 3, 96 ] ], 1, "17^2:3", [ "Z", 17, 2 ],
12481  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^8 ] ] ] ],
12482[ 19, 1734, 2, "1", [ [ 6, 48 ] ], 1, "17^2:6", [ "Z", 17, 2 ],
12483  [ [ [ Z(17)^8, 0*Z(17) ], [ 0*Z(17), Z(17)^8 ] ],
12484      [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^0 ] ] ] ],
12485[ 20, 1734, 2, "1", [ [ 3, 16 ], [ 6, 40 ] ], 1, "17^2:Sym(3)",
12486  [ "Z", 17, 2 ],
12487  [ [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^8, Z(17)^8 ] ], [ [ 0*Z(17), Z(17)^0 ],
12488          [ Z(17)^0, 0*Z(17) ] ] ] ],
12489[ 21, 2312, 2, "1", [ [ 8, 36 ] ], 1, "17^2:Q_8", [ "Z", 17, 2 ],
12490  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, 0*Z(17) ] ],
12491      [ [ Z(17)^11, Z(17)^8 ], [ Z(17)^8, Z(17)^3 ] ] ] ],
12492[ 22, 2312, 2, "1", [ [ 4, 16 ], [ 8, 28 ] ], 1, "17^2:D_8", [ "Z", 17, 2 ],
12493  [ [ [ Z(17)^0, 0*Z(17) ], [ 0*Z(17), Z(17)^8 ] ],
12494      [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, 0*Z(17) ] ] ] ],
12495[ 23, 2601, 2, "1", [ [ 9, 32 ] ], 1, "17^2:9", [ "Z", 17, 2 ],
12496  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^4 ] ],
12497      [ [ Z(17)^4, Z(17)^8 ], [ Z(17)^0, 0*Z(17) ] ] ] ],
12498[ 24, 3468, 2, "1", [ [ 12, 24 ] ], 1, "17^2:12", [ "Z", 17, 2 ],
12499  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^0, Z(17)^12 ] ],
12500      [ [ 0*Z(17), Z(17)^4 ], [ Z(17)^4, Z(17)^0 ] ] ] ],
12501[ 25, 3468, 2, "1", [ [ 12, 24 ] ], 1, "17^2:Q_12", [ "Z", 17, 2 ],
12502  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, 0*Z(17) ] ],
12503      [ [ Z(17)^4, Z(17)^2 ], [ Z(17)^2, Z(17)^5 ] ] ] ],
12504[ 26, 3468, 2, "1", [ [ 6, 16 ], [ 12, 16 ] ], 1, "17^2:D_12",
12505  [ "Z", 17, 2 ],
12506  [ [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^0, Z(17)^8 ] ], [ [ 0*Z(17), Z(17)^0 ],
12507          [ Z(17)^0, 0*Z(17) ] ] ] ],
12508[ 27, 4624, 2, "1", [ [ 8, 12 ], [ 16, 12 ] ], 1, "17^2:Q_8:2",
12509  [ "Z", 17, 2 ],
12510  [ [ [ Z(17)^0, 0*Z(17) ], [ 0*Z(17), Z(17)^8 ] ], [ [ Z(17)^12, 0*Z(17) ],
12511          [ 0*Z(17), Z(17)^12 ] ],
12512      [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^0, 0*Z(17) ] ] ] ],
12513[ 28, 4624, 2, "1", [ [ 8, 16 ], [ 16, 10 ] ], 1, "17^2:D_16",
12514  [ "Z", 17, 2 ],
12515  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^0, 0*Z(17) ] ], [ [ Z(17)^0, 0*Z(17) ],
12516          [ Z(17)^15, Z(17)^8 ] ] ] ],
12517[ 29, 4624, 2, "1", [ [ 16, 18 ] ], 1, "17^2:Q_16", [ "Z", 17, 2 ],
12518  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^15 ] ],
12519      [ [ Z(17)^7, Z(17)^10 ], [ Z(17)^15, Z(17)^15 ] ] ] ],
12520[ 30, 4624, 2, "1", [ [ 8, 8 ], [ 16, 14 ] ], 1, "17^2:SD_16",
12521  [ "Z", 17, 2 ],
12522  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, 0*Z(17) ] ], [ [ Z(17)^0, 0*Z(17) ],
12523          [ Z(17)^11, Z(17)^8 ] ] ] ],
12524[ 31, 4624, 2, "1", [ [ 8, 4 ], [ 16, 16 ] ], 1, "17^2:SA_16",
12525  [ "Z", 17, 2 ],
12526  [ [ [ Z(17)^0, 0*Z(17) ], [ 0*Z(17), Z(17)^8 ] ], [ [ 0*Z(17), Z(17)^0 ],
12527          [ Z(17)^12, 0*Z(17) ] ] ] ],
12528[ 32, 5202, 2, "1", [ [ 18, 16 ] ], 1, "17^2:18", [ "Z", 17, 2 ],
12529  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^12 ] ],
12530      [ [ Z(17)^8, 0*Z(17) ], [ 0*Z(17), Z(17)^8 ] ] ] ],
12531[ 33, 5202, 2, "1", [ [ 9, 16 ], [ 18, 8 ] ], 1, "17^2:D_18", [ "Z", 17, 2 ],
12532  [ [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^11, Z(17)^8 ] ],
12533      [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^11 ] ] ] ],
12534[ 34, 6936, 2, "1", [ [ 24, 12 ] ], 1, "17^2:24", [ "Z", 17, 2 ],
12535  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^8 ] ],
12536      [ [ Z(17)^10, Z(17)^10 ], [ Z(17)^2, 0*Z(17) ] ] ] ],
12537[ 35, 6936, 2, "1", [ [ 24, 12 ] ], 1, "17^2:24", [ "Z", 17, 2 ],
12538  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^0 ] ],
12539      [ [ Z(17)^12, Z(17) ], [ Z(17)^11, Z(17)^9 ] ] ] ],
12540[ 36, 6936, 2, "1", [ [ 24, 12 ] ], 1, "17^2:3:8", [ "Z", 17, 2 ],
12541  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^12, 0*Z(17) ] ],
12542      [ [ Z(17)^5, Z(17)^0 ], [ Z(17)^4, Z(17)^4 ] ] ] ],
12543[ 37, 6936, 2, "1", [ [ 24, 8 ], [ 12, 8 ] ], 1, "17^2:SD_24",
12544  [ "Z", 17, 2 ],
12545  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^0, Z(17)^4 ] ], [ [ Z(17)^0, 0*Z(17) ],
12546          [ Z(17)^4, Z(17)^8 ] ] ] ],
12547[ 38, 9248, 2, "1", [ [ 32, 9 ] ], 1, "17^2:32", [ "Z", 17, 2 ],
12548  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^5, 0*Z(17) ] ],
12549      [ [ Z(17), 0*Z(17) ], [ 0*Z(17), Z(17) ] ] ] ],
12550[ 39, 9248, 2, "1", [ [ 32, 9 ] ], 1, "17^2:Q_32", [ "Z", 17, 2 ],
12551  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, 0*Z(17) ] ],
12552      [ [ Z(17)^8, Z(17)^7 ], [ Z(17)^15, Z(17)^0 ] ] ] ],
12553[ 40, 9248, 2, "1", [ [ 32, 1 ], [ 16, 16 ] ], 1, "17^2:D_32",
12554  [ "Z", 17, 2 ],
12555  [ [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^5, Z(17)^8 ] ], [ [ 0*Z(17), Z(17)^0 ],
12556          [ Z(17)^8, Z(17)^5 ] ] ] ],
12557[ 41, 9248, 2, "1", [ [ 32, 6 ], [ 16, 6 ] ], 1, "17^2:SA_16:2",
12558  [ "Z", 17, 2 ],
12559  [ [ [ Z(17)^0, 0*Z(17) ], [ 0*Z(17), Z(17)^8 ] ], [ [ Z(17)^14, 0*Z(17) ],
12560          [ 0*Z(17), Z(17)^14 ] ],
12561      [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^12, 0*Z(17) ] ] ] ],
12562[ 42, 9248, 2, "1", [ [ 32, 4 ], [ 16, 10 ] ], 1, "17^2:D_16:2",
12563  [ "Z", 17, 2 ],
12564  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^7 ] ], [ [ 0*Z(17), Z(17)^12 ],
12565          [ Z(17)^4, Z(17)^3 ] ],
12566      [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^7, Z(17)^8 ] ] ] ],
12567[ 43, 9248, 2, "1", [ [ 16, 2 ], [ 32, 8 ] ], 1, "17^2:2^(2+1+2)",
12568  [ "Z", 17, 2 ],
12569  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^12, 0*Z(17) ] ], [ [ 0*Z(17), Z(17)^10 ],
12570          [ Z(17)^10, 0*Z(17) ] ] ] ],
12571[ 44, 9248, 2, "1", [ [ 32, 5 ], [ 16, 8 ] ], 1, "17^2:SD_32",
12572  [ "Z", 17, 2 ],
12573  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^0, Z(17)^6 ] ], [ [ Z(17)^0, 0*Z(17) ],
12574          [ Z(17)^6, Z(17)^8 ] ] ] ],
12575[ 45, 9248, 2, "1", [ [ 8, 4 ], [ 32, 6 ], [ 16, 4 ] ], 1, "17^2:SA_16:2",
12576  [ "Z", 17, 2 ],
12577  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^4, 0*Z(17) ] ], [ [ Z(17)^0, 0*Z(17) ],
12578          [ 0*Z(17), Z(17)^12 ] ] ] ],
12579[ 46, 9248, 2, "1", [ [ 16, 2 ], [ 32, 8 ] ], 1, "17^2:SA_32",
12580  [ "Z", 17, 2 ],
12581  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^14, 0*Z(17) ] ], [ [ 0*Z(17), Z(17)^10 ],
12582          [ Z(17)^0, 0*Z(17) ] ] ] ],
12583[ 47, 10404, 2, "1", [ [ 36, 8 ] ], 1, "17^2:Q_36", [ "Z", 17, 2 ],
12584  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, 0*Z(17) ] ],
12585      [ [ Z(17)^15, Z(17)^2 ], [ Z(17)^2, Z(17)^10 ] ] ] ],
12586[ 48, 10404, 2, "1", [ [ 36, 8 ] ], 1, "17^2:36", [ "Z", 17, 2 ],
12587  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^0, Z(17)^4 ] ],
12588      [ [ Z(17)^14, Z(17)^11 ], [ Z(17)^11, Z(17)^10 ] ] ] ],
12589[ 49, 10404, 2, "1", [ [ 18, 16 ] ], 1, "17^2:D_36", [ "Z", 17, 2 ],
12590  [ [ [ Z(17)^0, 0*Z(17) ], [ Z(17), Z(17)^8 ] ],
12591      [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17) ] ] ] ],
12592[ 50, 13872, 2, "1", [ [ 48, 6 ] ], 1, "17^2:48", [ "Z", 17, 2 ],
12593  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^2, Z(17)^13 ] ],
12594      [ [ 0*Z(17), Z(17)^13 ], [ Z(17)^15, Z(17)^10 ] ] ] ],
12595[ 51, 13872, 2, "1", [ [ 24, 8 ], [ 48, 2 ] ], 1, "17^2:Q_8:Sym(3)",
12596  [ "Z", 17, 2 ],
12597  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^0 ] ], [ [ Z(17)^3, Z(17)^8 ],
12598          [ Z(17)^8, 0*Z(17) ] ] ] ],
12599[ 52, 13872, 2, "1", [ [ 24, 4 ], [ 48, 4 ] ], 1, "17^2:(Q_8:3):2",
12600  [ "Z", 17, 2 ],
12601  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, 0*Z(17) ] ], [ [ Z(17)^7, Z(17)^7 ],
12602          [ Z(17)^11, Z(17)^3 ] ] ] ],
12603[ 53, 13872, 2, "1", [ [ 48, 6 ] ], 1, "17^2:Q_8.Sym(3)", [ "Z", 17, 2 ],
12604  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^7 ] ],
12605      [ [ Z(17)^4, Z(17)^3 ], [ Z(17)^8, Z(17)^6 ] ] ] ],
12606[ 54, 13872, 2, "1", [ [ 48, 6 ] ], 1, "17^2:3:16", [ "Z", 17, 2 ],
12607  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^14, 0*Z(17) ] ],
12608      [ [ Z(17)^15, 0*Z(17) ], [ Z(17)^6, Z(17)^7 ] ] ] ],
12609[ 55, 13872, 2, "1", [ [ 24, 4 ], [ 48, 4 ] ], 1, "17^2:(8 x Sym(3))",
12610  [ "Z", 17, 2 ],
12611  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, 0*Z(17) ] ], [ [ Z(17)^14, 0*Z(17) ],
12612          [ Z(17)^2, Z(17)^6 ] ] ] ],
12613[ 56, 18496, 2, "1", [ [ 32, 9 ] ], 1, "17^2:D_32:2", [ "Z", 17, 2 ],
12614  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, 0*Z(17) ] ],
12615      [ [ Z(17)^0, 0*Z(17) ], [ 0*Z(17), Z(17)^8 ] ],
12616      [ [ Z(17)^15, 0*Z(17) ], [ 0*Z(17), Z(17)^9 ] ] ] ],
12617[ 57, 18496, 2, "1", [ [ 64, 4 ], [ 32, 1 ] ], 1, "17^2:4.D_16",
12618  [ "Z", 17, 2 ],
12619  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^4, 0*Z(17) ] ], [ [ Z(17)^3, 0*Z(17) ],
12620          [ 0*Z(17), Z(17)^13 ] ] ] ],
12621[ 58, 18496, 2, "1", [ [ 64, 3 ], [ 32, 3 ] ], 1, "17^2:SA_32:2",
12622  [ "Z", 17, 2 ],
12623  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^14, 0*Z(17) ] ], [ [ Z(17)^0, 0*Z(17) ],
12624          [ 0*Z(17), Z(17)^8 ] ],
12625      [ [ Z(17)^7, 0*Z(17) ], [ 0*Z(17), Z(17)^15 ] ] ] ],
12626[ 59, 18496, 2, "1", [ [ 64, 2 ], [ 32, 5 ] ], 1, "17^2:(2 x 16):2",
12627  [ "Z", 17, 2 ],
12628  [ [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^8, Z(17)^8 ] ], [ [ 0*Z(17), Z(17)^0 ],
12629          [ Z(17)^4, Z(17)^8 ] ] ] ],
12630[ 60, 18496, 2, "1", [ [ 16, 2 ], [ 64, 4 ] ], 1, "17^2:8.D_8",
12631  [ "Z", 17, 2 ],
12632  [ [ [ Z(17)^6, 0*Z(17) ], [ 0*Z(17), Z(17)^10 ] ], [ [ 0*Z(17), Z(17)^0 ],
12633          [ Z(17)^10, 0*Z(17) ] ] ] ],
12634[ 61, 18496, 2, "1", [ [ 16, 2 ], [ 64, 2 ], [ 32, 4 ] ], 1, "17^2:D_16:4",
12635  [ "Z", 17, 2 ],
12636  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^12, Z(17) ] ], [ [ Z(17)^0, 0*Z(17) ],
12637          [ Z(17), Z(17)^8 ] ],
12638      [ [ Z(17)^14, Z(17)^3 ], [ Z(17)^15, Z(17)^6 ] ] ] ],
12639[ 62, 18496, 2, "1", [ [ 64, 3 ], [ 32, 3 ] ], 1, "17^2:SA_32:2",
12640  [ "Z", 17, 2 ],
12641  [ [ [ Z(17)^9, 0*Z(17) ], [ 0*Z(17), Z(17)^5 ] ], [ [ 0*Z(17), Z(17)^0 ],
12642          [ Z(17)^8, 0*Z(17) ] ] ] ],
12643[ 63, 18496, 2, "1", [ [ 64, 4 ], [ 32, 1 ] ], 1, "17^2:SA_64",
12644  [ "Z", 17, 2 ],
12645  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^15, 0*Z(17) ] ], [ [ 0*Z(17), Z(17)^10 ],
12646          [ Z(17), 0*Z(17) ] ] ] ],
12647[ 64, 20808, 2, "1", [ [ 36, 8 ] ], 1, "17^2:(4 x D_18)",
12648  [ "Z", 17, 2 ],
12649  [ [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^13, Z(17)^8 ] ], [ [ 0*Z(17), Z(17)^0 ],
12650          [ Z(17)^0, Z(17)^13 ] ] ] ],
12651[ 65, 20808, 2, "1", [ [ 72, 4 ] ], 1, "17^2:9:8", [ "Z", 17, 2 ],
12652  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^4, 0*Z(17) ] ],
12653      [ [ Z(17)^12, Z(17)^7 ], [ Z(17)^2, Z(17)^4 ] ] ] ],
12654[ 66, 20808, 2, "1", [ [ 72, 4 ] ], 1, "17^2:(3 x 3:8)", [ "Z", 17, 2 ],
12655  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^4, Z(17) ] ],
12656      [ [ Z(17)^13, Z(17) ], [ Z(17)^5, Z(17)^12 ] ] ] ],
12657[ 67, 27744, 2, "1", [ [ 96, 3 ] ], 1, "17^2:96", [ "Z", 17, 2 ],
12658  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^2, Z(17)^13 ] ],
12659      [ [ Z(17)^4, Z(17)^7 ], [ Z(17)^9, Z(17)^2 ] ] ] ],
12660[ 68, 27744, 2, "1", [ [ 24, 4 ], [ 96, 2 ] ], 1, "17^2:(Q_8:3):4",
12661  [ "Z", 17, 2 ],
12662  [ [ [ Z(17)^12, 0*Z(17) ], [ Z(17)^8, Z(17)^8 ] ], [ [ 0*Z(17), Z(17)^0 ],
12663          [ Z(17)^4, 0*Z(17) ] ] ] ],
12664[ 69, 27744, 2, "1", [ [ 48, 6 ] ], 1, "17^2:Q_8.Sym(3):2", [ "Z", 17, 2 ],
12665  [ [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^3, Z(17)^8 ] ],
12666      [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^0, Z(17)^12 ] ] ] ],
12667[ 70, 27744, 2, "1", [ [ 48, 2 ], [ 96, 2 ] ], 1, "17^2:(SA_16:2):3",
12668  [ "Z", 17, 2 ],
12669  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^0, Z(17)^12 ] ], [ [ Z(17)^10, Z(17)^15 ],
12670          [ 0*Z(17), Z(17)^2 ] ] ] ],
12671[ 71, 27744, 2, "1", [ [ 48, 2 ], [ 96, 2 ] ], 1, "17^2:(16x Sym(3))",
12672  [ "Z", 17, 2 ],
12673  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^4, 0*Z(17) ] ], [ [ Z(17)^3, Z(17)^9 ],
12674          [ Z(17)^5, 0*Z(17) ] ] ] ],
12675[ 72, 27744, 2, "1", [ [ 96, 3 ] ], 1, "17^2:3:32", [ "Z", 17, 2 ],
12676  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^7, 0*Z(17) ] ],
12677      [ [ Z(17)^11, Z(17)^7 ], [ Z(17)^6, Z(17)^6 ] ] ] ],
12678[ 73, 36992, 2, "1", [ [ 128, 2 ], [ 32, 1 ] ], 1, "17^2:8.D_16",
12679  [ "Z", 17, 2 ],
12680  [ [ [ Z(17)^7, 0*Z(17) ], [ 0*Z(17), Z(17)^9 ] ], [ [ 0*Z(17), Z(17)^0 ],
12681          [ Z(17)^6, 0*Z(17) ] ] ] ],
12682[ 74, 36992, 2, "1", [ [ 64, 4 ], [ 32, 1 ] ], 1, "17^2:D_32:4",
12683  [ "Z", 17, 2 ],
12684  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, 0*Z(17) ] ], [ [ Z(17)^11, Z(17)^5 ],
12685          [ Z(17)^5, Z(17)^2 ] ],
12686      [ [ Z(17)^7, Z(17)^5 ], [ Z(17)^4, Z(17)^15 ] ] ] ],
12687[ 75, 36992, 2, "1", [ [ 128, 1 ], [ 64, 2 ], [ 32, 1 ] ], 1, "17^2:8.D_8:2",
12688  [ "Z", 17, 2 ],
12689  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^4, 0*Z(17) ] ], [ [ Z(17)^0, 0*Z(17) ],
12690          [ Z(17)^9, Z(17)^8 ] ],
12691      [ [ 0*Z(17), Z(17)^13 ], [ Z(17)^9, Z(17)^6 ] ] ] ],
12692[ 76, 36992, 2, "1", [ [ 16, 2 ], [ 128, 1 ], [ 64, 2 ] ], 1, "17^2:D_16:8",
12693  [ "Z", 17, 2 ],
12694  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^2, 0*Z(17) ] ], [ [ Z(17)^12, 0*Z(17) ],
12695          [ 0*Z(17), Z(17)^6 ] ] ] ],
12696[ 77, 36992, 2, "1", [ [ 128, 2 ], [ 32, 1 ] ], 1, "17^2:8.16",
12697  [ "Z", 17, 2 ],
12698  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^13, 0*Z(17) ] ], [ [ Z(17), 0*Z(17) ],
12699          [ 0*Z(17), Z(17)^5 ] ] ] ],
12700[ 78, 41616, 2, "1", [ [ 72, 4 ] ], 1, "17^2:(8 x D_8)", [ "Z", 17, 2 ],
12701  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^4, 0*Z(17) ] ],
12702      [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^3, Z(17)^8 ] ] ] ],
12703[ 79, 41616, 2, "1", [ [ 144, 2 ] ], 1, "17^2:144", [ "Z", 17, 2 ],
12704  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^12, Z(17)^13 ] ],
12705      [ [ Z(17)^0, Z(17)^11 ], [ Z(17)^7, 0*Z(17) ] ] ] ],
12706[ 80, 41616, 2, "1", [ [ 144, 2 ] ], 1, "17^2:9:16", [ "Z", 17, 2 ],
12707  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^6, 0*Z(17) ] ],
12708      [ [ Z(17)^15, Z(17)^9 ], [ Z(17)^6, Z(17)^7 ] ] ] ],
12709[ 81, 55488, 2, "1", [ [ 48, 2 ], [ 96, 2 ] ], 1, "17^2:Q_8.Sym(3):4",
12710  [ "Z", 17, 2 ],
12711  [ [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^14, Z(17)^4 ] ], [ [ 0*Z(17), Z(17)^0 ],
12712          [ Z(17)^8, Z(17)^7 ] ] ] ],
12713[ 82, 55488, 2, "1", [ [ 192, 1 ], [ 96, 1 ] ], 1, "17^2:(SA_32:2):3",
12714  [ "Z", 17, 2 ],
12715  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^12, Z(17)^2 ] ], [ [ Z(17)^7, Z(17)^6 ],
12716          [ 0*Z(17), Z(17)^15 ] ] ] ],
12717[ 83, 55488, 2, "1", [ [ 192, 1 ], [ 96, 1 ] ], 1, "17^2:8.Sym(4)",
12718  [ "Z", 17, 2 ],
12719  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^10, Z(17)^8 ] ], [ [ Z(17)^7, Z(17)^5 ],
12720          [ Z(17)^10, Z(17)^15 ] ] ] ],
12721[ 84, 55488, 2, "1", [ [ 192, 1 ], [ 96, 1 ] ], 1, "17^2:96:2",
12722  [ "Z", 17, 2 ],
12723  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^3, Z(17)^14 ] ], [ [ Z(17)^0, 0*Z(17) ],
12724          [ Z(17)^14, Z(17)^8 ] ] ] ],
12725[ 85, 73984, 2, "1", [ [ 256, 1 ], [ 32, 1 ] ], 1, "17^2:16.Q_16",
12726  [ "Z", 17, 2 ],
12727  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^3, 0*Z(17) ] ], [ [ 0*Z(17), Z(17)^2 ],
12728          [ Z(17)^15, 0*Z(17) ] ] ] ],
12729[ 86, 73984, 2, "1", [ [ 128, 2 ], [ 32, 1 ] ], 1, "17^2:D_32:8",
12730  [ "Z", 17, 2 ],
12731  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^2, 0*Z(17) ] ], [ [ Z(17)^0, 0*Z(17) ],
12732          [ Z(17)^14, Z(17)^8 ] ],
12733      [ [ Z(17)^12, Z(17)^5 ], [ Z(17)^14, Z(17)^4 ] ] ] ],
12734[ 87, 83232, 2, "1", [ [ 288, 1 ] ], 2, "17^2:288", [ "Z", 17, 2 ],
12735  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^13, Z(17)^5 ] ],
12736      [ [ Z(17)^7, Z(17)^14 ], [ Z(17)^11, Z(17)^12 ] ] ] ],
12737[ 88, 83232, 2, "1", [ [ 144, 2 ] ], 1, "17^2:(18 x D_16)",
12738  [ "Z", 17, 2 ],
12739  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^6, Z(17)^8 ] ], [ [ Z(17), Z(17)^2 ],
12740          [ Z(17)^6, Z(17)^9 ] ] ] ],
12741[ 89, 83232, 2, "1", [ [ 288, 1 ] ], 2, "17^2:9:32", [ "Z", 17, 2 ],
12742  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17), 0*Z(17) ] ],
12743      [ [ Z(17)^5, Z(17)^14 ], [ Z(17)^0, Z(17)^13 ] ] ] ],
12744[ 90, 110976, 2, "1", [ [ 192, 1 ], [ 96, 1 ] ], 1, "17^2:8.Sym(4):2",
12745  [ "Z", 17, 2 ],
12746  [ [ [ Z(17)^0, 0*Z(17) ], [ Z(17)^9, Z(17)^12 ] ], [ [ 0*Z(17), Z(17)^0 ],
12747          [ Z(17)^10, Z(17)^9 ] ] ] ],
12748[ 91, 147968, 2, "1", [ [ 256, 1 ], [ 32, 1 ] ], 1, "17^2:Q_32:16",
12749  [ "Z", 17, 2 ],
12750  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^4, 0*Z(17) ] ], [ [ Z(17)^2, Z(17)^12 ],
12751          [ Z(17)^10, Z(17)^10 ] ] ] ],
12752[ 92, 166464, 2, "1", [ [ 288, 1 ] ], 2, "AGammaL(1, 17^2)", [ "Z", 17, 2 ],
12753  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^15, 0*Z(17) ] ],
12754      [ [ Z(17)^10, Z(17)^4 ], [ Z(17)^11, Z(17)^8 ] ] ] ],
12755[ 93, 1414944, 0, "1", [ [ 288, 1 ] ], 2, "ASL(2, 17)", [ "Z", 17, 2 ],
12756  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^8, Z(17)^10 ] ],
12757      [ [ Z(17), Z(17)^15 ], [ Z(17), Z(17)^13 ] ] ] ],
12758[ 94, 2829888, 0, "1", [ [ 288, 1 ] ], 2, "17^2:4.PSL(2, 17)",
12759  [ "Z", 17, 2 ],
12760  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^0, Z(17)^10 ] ], [ [ Z(17), Z(17)^12 ],
12761          [ Z(17)^10, Z(17)^7 ] ] ] ],
12762[ 95, 5659776, 0, "1", [ [ 288, 1 ] ], 2, "17^2:8.PSL(2, 17)",
12763  [ "Z", 17, 2 ],
12764  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^4, Z(17)^12 ] ], [ [ Z(17)^4, Z(17) ],
12765          [ Z(17)^5, Z(17)^3 ] ] ] ],
12766[ 96, 11319552, 0, "1", [ [ 288, 1 ] ], 2, "17^2:16.PSL(2, 17)",
12767  [ "Z", 17, 2 ],
12768  [ [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^14, Z(17)^7 ] ], [ [ Z(17)^12, Z(17)^3 ],
12769          [ Z(17)^12, Z(17)^2 ] ] ] ],
12770[ 97, 22639104, 0, "1", [ [ 288, 1 ] ], 2, "AGL(2, 17)", [ "Z", 17, 2 ],
12771  [ [ [ Z(17)^5, 0*Z(17) ], [ Z(17), Z(17)^11 ] ],
12772      [ [ 0*Z(17), Z(17)^0 ], [ Z(17)^7, Z(17)^6 ] ] ] ]];
12773PRIMGRP[290]:=
12774[[ 1, 12068640, 1, "2", [ [ 289, 1 ] ], 2, "PSL(2, 17^2)",
12775  [ "L", [ 2, 289 ], 1 ],
12776  [ (  1,160, 17, 39,199,240,  5,105,241, 33,127, 21, 97,272,224,153, 96, 11,
12777         135,109, 34,159,288,167,112,286, 67,223,221,244, 73,230,140, 16,133,
12778         220,266, 63,180, 56,256,123,242,265,263,129,200, 84, 29,198, 37,162,
12779          87, 61,185,100, 43,262,214, 99,175, 69,163,245, 91,191,246,287,157,
12780         179, 36,195,197,218,250,172,166,119,104,165,148,269,120,271, 85,201,
12781         235,126,102,113,137, 14,115,204,212,  6,  7, 12,248, 15,233,222,234,
12782         259, 80, 71,174,  2, 98,194, 22,125,116,227,252,264,253,181,238,184,
12783         189,190,274,282, 81,182, 59, 83, 94, 70,251,285,111,215, 76,217, 48,
12784          31, 92, 77, 30, 24,236,268,289)(  3, 50,124,173,107,192,169, 51,277,
12785         281, 45, 82, 74,284,131,210, 52, 78,231, 38,267, 19,117,103,132,213,
12786          68,108, 75,183,243, 13,121, 88,128,273, 64, 93, 79,177,219,158,255,
12787         118,144,276, 65,202,122,114,151,205,209,145, 27,  4, 89, 23, 72,146,
12788         193,257, 25, 35,168, 60,  8,270, 49, 62, 46,232,106, 86,278,138,247,
12789         187,237, 95, 18, 57,211,143, 26,152, 40,186,203, 47, 54, 20,155,228,
12790         261,260, 32,280,196,279, 66,141, 42,154, 55,130,207,290,206,164,226,
12791         225,258, 41,176,142,149,283, 10,156, 44,170, 53,275,139,178,101,249,
12792           9,239, 58,208,110, 90,254,150,134,147,216,188,136, 28,161,171,229),
12793      (  1,219,276,154,155,278, 49,285,102, 97,176,265, 88,105,288, 32,209,
12794         220,188,240,  6,180,  8, 63,266,170,218, 12,149, 21,172,274, 48,213,
12795         110,242,134,254, 68, 37,262, 26,  7,271,284,196,281,273, 42,173,290,
12796         109, 71,238, 82,158,194,239,198, 99, 23,251,150, 24,270,279,245,277,
12797         193, 39, 29,178,121,215, 40, 10,100,151,246,  9, 31, 17, 89,126,229,
12798         183,104, 14,140,237, 93,143,192, 13,186,108,227,233,141, 77,160,131,
12799         205,114, 33,145,210,175,250,190,256, 62, 15,282,168,153,224,156,272,
12800         222,200, 65, 96, 90, 47,244,263, 51,241,232, 56, 98,191,283,225,228,
12801         211,136,  3,162,235,123,127, 22)(  2,157,135, 85,201,133,204,189, 75,
12802         52,  5,101,167,107,182,147,212, 34,243,152,226,197,280,216,124,130,
12803         249,171, 54,165,214,264,120,217, 53,253,174,128,231,268, 50, 36, 58,
12804         111,206,257, 57, 27,142,236,179, 38, 28,164, 80,112, 78, 87, 43,207,
12805         106, 44,258,159,118,163,199,275,119,286,248, 67,184, 25, 84, 76,161,
12806          73, 86, 60, 41, 95, 30,289,103,223,115,247,144, 19, 83,185, 46,208,
12807          55,139,187, 91,  4, 59,177, 61,117,169,137,148, 35, 69,252,269, 92,
12808         181,260,255, 72, 18, 79,202,203, 81,138, 66, 45,230,234,122,195, 64,
12809         221,146,129,132, 74,166,259, 11,125,116, 16, 94,113, 20,267,261) ] ],
12810[ 2, 24137280, 0, "2", [ [ 289, 1 ] ], 3, "PGL(2, 17^2)",
12811  [ "L", [ 2, 289 ], 1 ],
12812  [ (  1,168,204,255, 73,145, 69,194,125,185,199,182,143,247,244,178, 53,130,
12813         153,180,276, 83,  9, 65)(  2,  5,273,165,286,128, 63,154, 87,166, 17,
12814         15, 36, 35,272,200, 61,104,246,162, 41,256,170, 20)(  3, 72,269,248,
12815           8,122,217, 21,216,117, 60, 24,222,141,195,207, 45, 47,123,118,102,
12816         209, 49,160)(  4, 85,173,234, 34, 19,259,226, 90,265, 67,167,156,197,
12817         191,103,229,261, 93,177,186,  6, 10,174)(  7,193, 71,290, 99, 92,242,
12818         187, 84,202, 51,271, 59,127,147,284,233,120,151,270,137, 39,124,148)
12819        ( 11, 54,205,133, 80, 79,100, 98,239, 28,251, 52,277,119,240,132,110,
12820         113, 95,235,149, 74,243,159)( 12,214,208,249,238, 48,140, 25,179,146,
12821         96, 81,171,232, 30,111,231,105,109,219,228, 22,144,176)
12822        ( 13,287,282, 68, 70,198,210,264,183, 91, 55,288,189, 94,188,283,107,
12823         157,136, 43,112,245, 66,196)( 14, 40,138, 82,175,116, 97,164,250,266,
12824         253, 86, 78,224, 58,192,131, 77,126,190, 27,221, 89,142)
12825        ( 16,115, 44,212,108,257,281, 76,268,135,254,285,172,121,258,278, 56,
12826         134, 64,203, 31,218,163, 23)( 18,289,230, 33,267, 75,101,263, 26,184,
12827         88,215,279, 38,274,213, 57,181, 37, 29,152,139,155,241)
12828        ( 32,129,225,252,275, 62,227,161,158,262,223,206,220,280,211, 46,260,
12829          42,150,201,237,114, 50,106),
12830      (  1,175,288, 74,258, 67, 39,238,277,151,187,125,290, 34,184,232,286,
12831         221, 50,  8,106, 97,109,139,  4,155,249, 66, 86,206,  3,247, 84,185,
12832           9,254, 27,180,123,239,115,200,228,233,275,192,202,204,245,256,203,
12833         118,263,  5,246,156, 28,234, 35, 19, 11,140,167,154,289, 68,276,103,
12834         161,271,191,199, 81,225,127, 59,164,190,279, 64,124, 30,112, 87, 96,
12835         284,266, 99,172,131,  2,162,  6,244,193, 46,134,165,283,269,236,102,
12836           7,100,174,138,108, 78, 42,116,209,114,270,237,223, 51, 82,170, 23,
12837         262,210, 54,214, 85, 44,117,240,222,120,129,104,186, 92,152,227, 26,
12838          52,157, 89,281,135, 17, 25,235, 55,113,230,148,217, 62, 49, 76,205,
12839         197,181,272,188, 60,260,211,243, 98, 13,250,261, 12, 14, 24,231,273,
12840         278, 16,101,267, 93, 36,189,252,207, 31,132,259,213, 10,130,150,257,
12841          61,212, 77,107,119,110,208,166,285,220,274, 32,182,216, 91, 29, 65,
12842         229,268,177,149,248,142,218, 41,215,159, 70, 22, 69, 88, 18, 83,241,
12843         226,219, 33,171, 95,144,122, 56, 53, 90,169,173, 15,196, 79, 75,178,
12844          71, 21,264,282,179,251,143,111,168, 58,136, 63,253,153, 80,158, 48,
12845         105, 73,255, 37,224,242,195,145, 38,141,137, 20,201, 43, 47,126,163,
12846         160, 94, 72,121, 45,183,287,280,265,133,198,128,147,194,146, 57) ] ],
12847[ 3, 24137280, 0, "2", [ [ 289, 1 ] ], 2, "PSigmaL(2, 17^2)",
12848  [ "L", [ 2, 289 ], 1 ],
12849  [ (  1,110,238,233,132,247,203, 34, 85,266,138,143,244,129,173, 52)
12850        (  2, 73, 67,264,187,263,151, 30, 84, 13, 19,112,189,113,225, 56)
12851        (  3,108, 55,234,196,269, 22,111, 83,268, 31,142,180,107, 64,265)
12852        (  4,270,169,223, 18,199,267,168, 82,106,207,153, 68,177,109,208)
12853        (  5,262,250,181,155,289,198, 25, 81,114,126,195,221, 87,178, 61)
12854        (  6, 75, 42, 86,212,275,147,241, 80, 11, 44,290,164,101,229,135)
12855        (  7, 95,194, 77,217, 29,219, 45, 79,281,182,  9,159, 57,157, 41)
12856        (  8,200,251,148, 23,209, 54, 35, 78,176,125,228, 63,167, 32, 51)
12857        ( 10, 99,105,283,150,230, 33, 58, 76,277,271, 93,226,146, 53, 28)
12858        ( 12,216, 14,161, 37,171,224,139, 74,160, 72,215, 49,205,152,237)
12859        ( 15,119,284,218, 26,201, 16,258, 71,257, 92,158, 60,175, 70,118)
12860        ( 17,166,211,236, 59,239,286,248, 69,210,165,140, 27,137, 90,128)
12861        ( 20, 24,214,149,141,254,204,213, 66, 62,162,227,235,122,172,163)
12862        ( 21,123,273,256,282,124,285, 89, 65,253,103,120, 94,252, 91,287)
12863        ( 36,193,117, 40,206,279,232,249, 50,183,259, 46,170, 97,144,127)
12864        ( 38,278,104,100,134,115,185, 39, 48, 98,272,276,242,261,191, 47)
12865        ( 88,184,255,260,197,245,274,133,288,192,121,116,179,131,102,243)
12866        ( 96,240,130,186,231,202,220,154,280,136,246,190,145,174,156,222),
12867      (  1,262, 95,279, 94,182,110,273,226,141,247,264,235, 81,268,150)
12868        (  2,128, 44, 86,169,120,195,256, 87,186,197, 20,162,200,132,240)
12869        (  3, 96,155,125,108, 91, 51,250, 98, 97,289, 99,  6,147, 78,198)
12870        (  4,192, 71, 70,204,111,101,122, 40,  8, 75,180,222,266,177,244)
12871        (  5,158,221, 85,227, 14,201,208,267, 53,161,124,225,133,270,220)
12872        (  7, 42, 61,114,253,121,165, 22, 31, 69,236, 12,216,255, 15,117)
12873        (  9, 18, 50, 11,218,181,166,123,144,151,230, 92,112,234,288,145)
12874        ( 10,223, 26,179, 25,283,119, 13,142, 37,175,276,163,104,184, 72)
12875        ( 16,284,134,274, 83,238,107, 27,127,251,231, 74,187, 56, 48,139)
12876        ( 17,189,149,115, 68,140, 66,185, 88,249, 55,143,196,209,173,183)
12877        ( 19,171,206, 47, 49, 60,116, 73,233,239,188,130, 45,205, 80,280)
12878        ( 21, 82, 23,272,160,243, 29,156,285, 63, 24,193,212, 41,263, 36)
12879        ( 28,246,259,232,287,152,229, 62,109,211,102,168,265, 43,176,135)
12880        ( 30,271,281, 64,257, 46,153,159,129, 93, 90,172,219,136,191,126)
12881        ( 32, 34, 54,282, 52,170,261,210,103,100,237,224,214,154, 65,290)
12882        ( 33, 57,215,254,241,167, 76,138,118, 38,278, 84,248, 79,213,217)
12883        ( 35,157,252, 59,190,113,277,105,286,194, 67,174,202, 89,106,245)
12884        ( 39,275,146, 77,269,242,137,199,228, 58,131,258,148,178,260,164) ] ],
12885[ 4, 24137280, 0, "2", [ [ 289, 1 ] ], 3, "PSL(2, 17^2).2_3",
12886  [ "L", [ 2, 289 ], 1 ],
12887  [ (  1,181,170,263,266,  4,159,168,116,198,121, 38,258,209, 71,114,157, 19,
12888         260,190,107, 30,112, 60, 69,224,252,255, 58, 47,227,240,178, 48, 89,
12889         191, 13,219,193,262,230, 28, 87, 42, 43,115, 92,289, 75,158,164,161,
12890         226,251, 15,155,169, 72,192,210, 54,290,117,275,235, 68,162, 80,  6,
12891          32,122, 22,248,244,143,183,207, 82, 49,284,245, 29, 84,130, 12, 31,
12892         173,287,231, 55,197,216, 98,144,199,273,234,179,146, 21, 45, 85,274,
12893         270,206,106,196,222,148, 66,160,283,243,111,228,174, 18, 36,156, 59,
12894          73,213,267,  2, 67, 64, 70,153,229,136,113,185,186,141,200,288,256,
12895          35,  9,215, 37,139,180, 50,278)(  3, 99, 90,151,100,189,171, 52,147,
12896         120,  7,239,261,265, 56,103, 27, 17, 74,247,135,272,277, 23, 91, 41,
12897         259,187,137,205,241,246, 93,271,154,211,201,125,172,253,257,279,221,
12898         108, 81,176, 57, 39,128, 77,138,129,225,165, 34,149,220, 65, 40,104,
12899         134,150, 44,286,264,223,119, 33,233,281,152, 86,217,126,203, 95,110,
12900          97,280,175, 96,166,204,167, 16,182,140, 14, 26,145,218,123,250,236,
12901         127,177,276, 20,249,269,208,242, 51,101,282,268,105, 10, 83,202,214,
12902          88, 46,212, 61, 24, 62,132, 53,238,131,118,133, 25,102, 11,142, 76,
12903         237,285,195,109,  5,254,232,184, 78, 94,124,188,163,  8, 79,194, 63),
12904      (  1,144,272,175,238, 41,110,127, 79, 20,227,252,104, 90, 81,210,283,
12905         279,219,202,282,232,139,130,141,244,228, 37,116, 74,255,123,206,222,
12906          14, 34)(  2,133,254,243, 76, 55, 47,154,142,203, 63,240,189, 33, 28,
12907         147, 32, 45, 29, 75,190,288,155, 67, 99,187,216, 25,119,257,109,150,
12908         171,236,186,102)(  3,120,  6,208,115,235, 65, 11,149,164,140, 26, 53,
12909         27,188, 19,220, 12, 52,143, 48,176,112,152, 66,124, 72,146,259, 93,
12910          46,185, 70,204,268,182)(  4,165,226,229,  7,225,199, 57,239, 89,194,
12911         224, 36,137, 56,128,281,212,233,162,166,271, 82,274, 31,  9,174,207,
12912         287,231, 64, 18,223,205,148,211)(  5,251,276,113,263,266, 71, 42, 22,
12913         69,161,157, 49, 95,136, 73,138, 92,285,184, 58,131,284,153,196,125,
12914         173,101, 50,134,198,265,167,258, 39,250)(  8,234,192,145,121,215,163,
12915         183,278,177,159,191,209, 96,253,169,170,262, 21,180,172,160,217, 40,
12916         277, 98, 59,264, 17, 35,193, 30,261,126, 10,200)( 13,178,179,122,237,
12917         87,117,248, 97,245, 15,249,108, 88,181,214, 86,135,100,230, 94,201,
12918          62, 23,132,275, 43, 91, 77,106,151,168,247,158,242, 61)
12919        ( 16,195, 84,111,260, 44,218,286,290,221, 60,241,105, 83,256, 38,107,
12920          78, 24,270, 68, 51,118,273,289,129,114, 54,156,213, 85,280,269,103,
12921         267,246)( 80,197) ] ],
12922[ 5, 48274560, 0, "2", [ [ 289, 1 ] ], 3, "PGammaL(2, 17^2)",
12923  [ "L", [ 2, 289 ], 1 ],
12924  [ (  1,177,193,130,133, 37, 28, 58,285, 56,124,112, 92, 15,139,191, 67, 31,
12925         231,181,212,141, 63, 53,106,228,122,217, 71,167, 42,246)
12926        (  2,  4,261,110, 25,205, 39, 82,146,290,216, 45, 50,111,262,  9, 96,
12927         247,166,163,273,120,287, 75, 51,116, 20, 60,210,108,102, 38)
12928        (  3, 89,251,233,117, 80,189,  5, 32,199,147, 55, 57,282,151,276, 93,
12929         160,118,283,140, 52,289,128, 49,208,101,236, 33,278,138,  6)
12930        (  7,232,200, 79,256,223,254, 16,275, 34,182, 76,135,104, 66,184,145,
12931         260, 95, 29, 84,152,259, 36,171, 30,131,257,281,113,121, 17)
12932        (  8,156,168,180,225, 69,142, 43,224,197, 44,258, 24,103, 86, 48, 85,
12933          11,266,264,185,209,248, 54, 62,115,286,269,155,243,125,132)
12934        ( 13,219,201,161,267,255, 22,165,230,280,107,123,202,195, 18, 61,274,
12935          19,204,174,252,279,196,211,237,263,192, 23,149,172, 65,194)
12936        ( 14,238,187,134,157,221, 26,218,250, 73, 64,207,127,136, 46,272,227,
12937          68,226,215,288,253,268,164, 88,198,170, 78, 87,229,144,183)
12938        ( 21,222,270, 70,241,158,190, 72,206, 47,249,150,100,159, 81, 41,245,
12939         203,173,213,220,214,188,137, 27,169,284,186,179,235,119, 35)
12940        ( 40, 90,176,277,105, 77,239,126, 94,143, 91,175,178, 98, 74, 99,129,
12941         109, 83,271,234,153,114,162,148,265, 59,240, 97,154,244,242),
12942      (  1, 22,124, 64,137, 90,117, 36,220, 51, 40,135,211,249,119,205, 77,
12943          89,183,185, 74, 59,136, 41,123, 10,259,255,186, 11,143, 78)
12944        (  2,226,263, 29,195,280,242,192,212,159,271,287, 32, 57,201,290,228,
12945         219, 43,167,210,274,103, 24, 16,216, 34, 75,122,187,267,232)
12946        (  3, 68,115,156,264,174,166, 87,206,270, 23,147,261,252,190,279,133,
12947         158,193,209, 31,268,288,238,200,285,161,217,254,188,248,213)
12948        (  4,225,221,180, 67,149, 54,131,116,  5,  7,101,113,275, 71,231,269,
12949          55,150,139,260,154, 73,100, 53,126, 66,168,189,112, 47,179)
12950        (  6,203, 86,227, 12,224,235, 38, 92,106,194,111, 48,146,218,196,107,
12951         155,170, 28,153, 13, 17, 56, 50,214,281, 97, 81,239,247, 25)
12952        (  8,278,276,128, 60, 15,169,172, 65, 14,118, 85,244,157, 45, 95,145,
12953          33,236,105, 72,176,125, 18, 21,175,130, 62,204,202,182,240)
12954        (  9,160, 46, 99,246,138,121,258, 42,257, 94, 80,250,191,151,102,171,
12955         132,229,120,243,273,129,108,198, 76,163,272, 63,265,283,164)
12956        ( 19, 88, 39,289,230,110, 96,223,148,222, 69, 52,234, 91,144, 30,181,
12957          26,197,215,127,208, 27,114,282, 82, 61,207,237, 70,251, 58)
12958        ( 20, 35, 83,284,262, 44,142, 79,286, 84, 98,152,245,256,178,253,104,
12959         277,184,165,233,241,109, 93,199,266,140,134,173,177, 37,162) ] ],
12960[6, Factorial(290)/2,1,"2",[[289,1]],288, "Alt(290)", ["A",290, 1], "Alt"],
12961[7, Factorial(290),0,"2",[[289, 1]],290, "Sym(290)", ["A",290, 1], "Sym"]];
12962PRIMGRP[291]:=
12963[[1, Factorial(291)/2,1,"2",[[290,1]],289, "Alt(291)", ["A",291, 1], "Alt"],
12964[2, Factorial(291),0,"2",[[290, 1]],291, "Sym(291)", ["A",291, 1], "Sym"]];
12965PRIMGRP[292]:=
12966[[1, Factorial(292)/2,1,"2",[[291,1]],290, "Alt(292)", ["A",292, 1], "Alt"],
12967[2, Factorial(292),0,"2",[[291, 1]],292, "Sym(292)", ["A",292, 1], "Sym"]];
12968PRIMGRP[293]:=
12969[[1, Factorial(293)/2,1,"2",[[292,1]],291, "Alt(293)", ["A",293, 1], "Alt"],
12970[2, Factorial(293),0,"2",[[292, 1]],293, "Sym(293)", ["A",293, 1], "Sym"],
12971[ 3, 293, 3, "1", [ [ 1, 292 ] ], 1, "C(293)", [ "Z", 293, 1 ], [  ] ],
12972[ 4, 586, 2, "1", [ [ 2, 146 ] ], 1, "D(2*293)", [ "Z", 293, 1 ],
12973  [ [ [ Z(293)^146 ] ] ] ],
12974[ 5, 1172, 2, "1", [ [ 4, 73 ] ], 1, "293:4", [ "Z", 293, 1 ],
12975  [ [ [ Z(293)^73 ] ] ] ],
12976[ 6, 21389, 2, "1", [ [ 73, 4 ] ], 1, "293:73", [ "Z", 293, 1 ],
12977  [ [ [ Z(293)^4 ] ] ] ],
12978[ 7, 42778, 2, "1", [ [ 146, 2 ] ], 1, "293:146", [ "Z", 293, 1 ],
12979  [ [ [ Z(293)^2 ] ] ] ],
12980[ 8, 85556, 2, "1", [ [ 292, 1 ] ], 2, "AGL(1, 293)", [ "Z", 293, 1 ],
12981  [ [ [ Z(293) ] ] ] ]];
12982PRIMGRP[294]:=
12983[[ 1, 12576732, 1, "2", [ [ 293, 1 ] ], 2, "PSL(2, 293)",
12984  [ "L", [ 2, 293 ], 1 ], "psl" ],
12985[ 2, 25153464, 0, "2", [ [ 293, 1 ] ], 3, "PGL(2, 293)",
12986  [ "L", [ 2, 293 ], 1 ], "pgl" ],
12987[3, Factorial(294)/2,1,"2",[[293,1]],292, "Alt(294)", ["A",294, 1], "Alt"],
12988[4, Factorial(294),0,"2",[[293, 1]],294, "Sym(294)", ["A",294, 1], "Sym"]];
12989PRIMGRP[295]:=
12990[[1, Factorial(295)/2,1,"2",[[294,1]],293, "Alt(295)", ["A",295, 1], "Alt"],
12991[2, Factorial(295),0,"2",[[294, 1]],295, "Sym(295)", ["A",295, 1], "Sym"]];
12992PRIMGRP[296]:=
12993[[1, Factorial(296)/2,1,"2",[[295,1]],294, "Alt(296)", ["A",296, 1], "Alt"],
12994[2, Factorial(296),0,"2",[[295, 1]],296, "Sym(296)", ["A",296, 1], "Sym"]];
12995PRIMGRP[297]:=
12996[[ 1, 13685760, 1, "2", [ [ 256, 1 ], [ 40, 1 ] ], 1, "PSU(5, 2)",
12997  [ "2A", [ 4, 2 ], 1 ],
12998  [ (  1, 24,276, 26,189, 83, 36,255,160,163,137)(  2,157, 46,111, 75, 17,154,
12999         294,296, 94,103)(  3,168,284,292,104,148,126,240,271,183,249)
13000        (  4,180,161, 98, 23,205,152,220,178,218, 68)(  5,130, 66,182,230,215,
13001         286,293,167, 62,257)(  6,109, 39, 54,237, 20,122, 41,136,184, 88)
13002        (  7,132, 73,222,174,112,279, 72,234,198,221)(  8, 45, 74,133, 71,267,
13003         96, 69,144,278,291)(  9, 86,135,250, 18, 25, 55,208,242,238,217)
13004        ( 10,283,176,134, 34,261,151, 14, 22,295,274)( 11, 64,245,181,171, 60,
13005         81, 30, 79,190, 38)( 12,192, 80, 95,101, 89,244,277,232,173,156)
13006        ( 13,223,145, 51, 29,194, 40, 70,204, 16,200)( 15,285,272,258,247, 56,
13007         121,256, 43,211, 27)( 19,138, 61,264,102, 85, 57, 42,263,241,159)
13008        ( 21,114,146, 28,281,231, 52, 50,165,123,224)( 31,251, 59,147,239,213,
13009         170,124,108,107,209)( 32,150,227, 44,188,275,248,169, 48, 92,197)
13010        ( 33,185,203,100,179,226,259,140,155,246,214)( 35,253,269,195,175, 37,
13011         90,243, 49,265,202)( 47,193,166,110,162,282,290, 78,235,139,116)
13012        ( 53,106,125,153,118,212,233,117,219, 65,287)( 58,228,280, 84, 82,105,
13013         67,262,297,289, 93)( 63,252,131,199,187, 77, 97,164,158,236,266)
13014        ( 76, 91,143,115,177,119,142,225,172,260,207)( 87,210,216,196,128,191,
13015         273,149,229,120,129)( 99,268,206,270,201,288,254,113,127,141,186),
13016      (  1, 76, 62,128,269,108,271,160, 72,164,168,283,140,255,207, 67, 44, 54
13017         )(  2, 93,263,198,217,266,105,183,  7, 65, 45,115, 50,219, 39, 47,
13018         121,153)(  3, 94, 57, 90, 52,123,247,252,259, 34, 37,251,  4,211,261,
13019         58,116,147)(  5,113, 29,  8,188, 16, 59, 51,236, 64,229,278, 33,288,
13020          24,277,169, 92)(  6,292, 81)(  9,103, 68)( 10, 73,106,118,285,112,
13021          55,280, 28,127,104,265,281,253, 26,240, 17,254)( 11,194, 96, 84,187,
13022         231, 86,199,260,144, 85, 38,110,149,243,270,159, 61)( 12, 21,286, 71,
13023         53, 83, 30, 46,204,179, 31, 98,230,201,227, 18, 14,145)
13024        ( 13,206,148,177,212,165, 56,282,262, 49,107,235, 87,186,268,279,189,
13025          63)( 15,192, 95,297,100,174, 32,244,197, 75,267,202,272,171,294, 99,
13026         146,264)( 19,137,157,119,120,167,176,163, 36,161,218, 91,246,172,155,
13027         114,223,139)( 20, 77,226,222,296,213,195, 70,129, 22,132, 79,241,290,
13028         133,126, 48, 78)( 23,190,130,220,238,225,221,287,273,162,237, 69,248,
13029         102,214,200,151,193)( 25,275,289, 88,178,141,233,175,205,215, 42,293,
13030         250,158,210, 89,138,228)( 27,232,136,124,134,274,156,258, 80,256,234,
13031         35,109,122,291,182, 82,111)( 40,150,196,125,224,180,191,101,295,257,
13032         276,166, 43,284,216,185,242,117)( 41,173,245,181,249, 66)
13033        ( 60,143, 74,170,135,131)( 97,209,142)(152,203,154,184,208,239) ] ],
13034[ 2, 27371520, 0, "2", [ [ 256, 1 ], [ 40, 1 ] ], 1, "PGammaU(5, 2)",
13035  [ "2A", [ 4, 2 ], 1 ],
13036  [ (  1, 29,288, 40,242,258,152,162,138,150,243,148)(  2,103, 65,  3,173,131,
13037         181, 47, 41,256, 58, 90)(  4,  9, 34, 27,198, 74)(  5,271,284,281,
13038         126, 72,168,165,216, 43,135,241)(  6, 70, 67,295,204,200,251,248,233,
13039         273, 87, 31)(  7, 16,228, 63,107,219,190,289,184,191, 33, 84)
13040        (  8,280, 23, 77,139, 54,206,108,272, 49, 66,155)( 10, 17, 61, 98,276,
13041         57,101, 78,253,185,225,209)( 11, 94,285,260,128,238, 12, 99,193,117,
13042          53,134)( 13, 24,269)( 14,122,145,266,282,263, 89,179,141, 86,142, 28
13043         )( 15,143, 95,137, 39,297,283,270,127,113,195,199)( 18, 48,188,114,
13044         220, 52,245,149, 26,264,252, 62)( 19,265,212, 91,118,147)
13045        ( 20, 60,210, 59,130,187,106,257,183,123,207,116)( 21,275,169,279,294,
13046         287,154,153, 92,221,180,235)( 22,223,186,125,158,255)
13047        ( 25, 88,211,236,226,171,166,112,267,213,151,240)( 30,292, 42, 69, 37,
13048         286,291, 44, 35,129,140,246)( 32, 83,194,160,159,244,201,222,164, 68,
13049         278,230)( 36,136,196,208,224, 55,274,237, 93, 73,120,229)
13050        ( 38,170, 80,290, 85,234, 45,214,254, 51,205,115)( 46,202,178, 56,262,
13051         261,268,231,157,239,119,277)( 64, 71,111,163,176,121, 76,217,232,161,
13052         203,177)( 75,218, 79,250, 96,296,192,100, 82,175,215,133)
13053        ( 81,182,105,109)( 97,172,110,102,227,197,189,174,146,144,167,104)
13054        (124,156,249,247)(132,259,293), (  1, 31)(  2,297,278, 68,116, 48)
13055        (  3,243,295, 92,140,170)(  4,241, 89,211, 82,158)(  5,269, 56)
13056        (  6, 27,210,261,290,182)(  7, 85,204, 86,250, 20)(  8,154,199, 33,
13057         148, 72)(  9,272, 70)( 10,142,216, 99,206,289)( 11,259,192,145,147,
13058         106)( 12, 69,186,165,137,198)( 13,162, 51,225,235,238)
13059        ( 14,214,143,124,201, 18)( 15, 36, 77,247, 35, 40)( 16,128, 93,127,
13060         180,262)( 17,203,167, 55,273, 71)( 19,120,249,294, 24,177)
13061        ( 22, 23,229,283, 83,171)( 25,254,237,286,245,115)( 26,144, 30,110,
13062          62,153)( 28,209,190, 80,123,274)( 29,252,282)( 32,168,293,172,103,
13063         231)( 34, 97,173,141,107,296)( 37,157, 54,176,268,221)
13064        ( 38, 52,217,218,109,248)( 39,121,151,126,265,155)( 41,220,287, 59,
13065          88,175)( 42, 81,232,111, 76,291)( 43,102,194, 95,233,219)
13066        ( 44, 98, 45,251, 63,215)( 46, 73,135, 90, 53,270)( 47,253, 60,105,
13067         174,223)( 49,227,130,104,239,246)( 50,191,169,212,166,178)
13068        ( 57,117,150,160,224,161)( 58,179,230, 67,133,138)( 61,113,208,242,
13069         108,125)( 64,164,255)( 65,292)( 66, 87,276,275,256,285)
13070        ( 74,185,288,271,280,184)( 75,195,132,131,136,114)( 78,281,193,100,
13071         197,202)( 79,183,207,200,122,129)( 84,152,181,222,146,277)
13072        ( 91,260,188,213,264,187)( 94,240,159,257,196,226)( 96,258,118,119,
13073         112,101)(134,244,139,267,149,266)(156,234,284,236,263,163)(228,279)
13074     ] ],
13075[3, Factorial(297)/2,1,"2",[[296,1]],295, "Alt(297)", ["A",297, 1], "Alt"],
13076[4, Factorial(297),0,"2",[[296, 1]],297, "Sym(297)", ["A",297, 1], "Sym"]];
13077PRIMGRP[298]:=
13078[[1, Factorial(298)/2,1,"2",[[297,1]],296, "Alt(298)", ["A",298, 1], "Alt"],
13079[2, Factorial(298),0,"2",[[297, 1]],298, "Sym(298)", ["A",298, 1], "Sym"]];
13080PRIMGRP[299]:=
13081[[1, Factorial(299)/2,1,"2",[[298,1]],297, "Alt(299)", ["A",299, 1], "Alt"],
13082[2, Factorial(299),0,"2",[[298, 1]],299, "Sym(299)", ["A",299, 1], "Sym"]];
13083PRIMGRP[300]:=
13084[[ 1, 7800, 1, "2", [ [ 26, 6 ], [ 13, 11 ] ], 1, "PSL(2, 5^2)",
13085  [ "L", [ 2, 25 ], 1 ],
13086  [ (  1, 41)(  2,119)(  3,134)(  4,101)(  5,191)(  6,172)(  7,118)(  8,115)
13087        (  9,243)( 10,177)( 11,141)( 12,298)( 13,267)( 14,260)( 15,103)
13088        ( 16,113)( 17,238)( 18,180)( 19,292)( 20, 30)( 21,268)( 22,299)
13089        ( 23, 42)( 24,272)( 25,137)( 26,174)( 27, 71)( 28,102)( 29, 45)
13090        ( 31, 82)( 32,244)( 33,167)( 34,207)( 35, 47)( 36, 60)( 37, 57)
13091        ( 38,183)( 39,226)( 43,182)( 44,233)( 46,262)( 48,192)( 49, 62)
13092        ( 50, 59)( 51,271)( 52,168)( 53,176)( 54,246)( 55,178)( 56,234)
13093        ( 58,222)( 61, 64)( 63,250)( 65, 76)( 67,186)( 68,152)( 69, 80)
13094        ( 70,111)( 73,237)( 74, 98)( 75,230)( 77,287)( 78,201)( 79,269)
13095        ( 81, 94)( 83,210)( 84,270)( 85,217)( 86,289)( 87,161)( 88,228)
13096        ( 89,162)( 90, 93)( 91,224)( 92,291)( 95,154)( 97,170)( 99,197)
13097        (100,288)(105,275)(106,227)(107,263)(108,290)(109,251)(110,242)
13098        (112,190)(114,181)(116,194)(117,132)(120,129)(122,212)(123,278)
13099        (124,214)(125,166)(126,282)(127,235)(128,274)(130,149)(131,158)
13100        (133,252)(135,142)(136,223)(138,264)(139,256)(140,277)(143,276)
13101        (144,294)(145,220)(146,159)(147,293)(148,255)(150,229)(151,205)
13102        (153,258)(155,163)(157,247)(160,257)(164,173)(165,283)(169,254)
13103        (171,216)(175,206)(179,185)(184,198)(187,200)(188,297)(189,281)
13104        (193,280)(195,203)(196,211)(199,232)(202,240)(204,265)(209,295)
13105        (213,285)(215,236)(218,225)(221,259)(239,273)(241,286)(245,249)
13106        (253,296)(261,284)(266,300),
13107      (  1,280,220,269,117)(  2, 26,221,297, 51)(  3, 73, 62, 92,222)
13108        (  4,110,299, 86,273)(  5,106,130,276, 41)(  6,178,118,198,114)
13109        (  7, 31,256,147,149)(  8,243, 17, 54,207)(  9, 70, 99,165, 67)
13110        ( 10, 13,257, 90,210)( 11,116,189, 66,219)( 12,161,262,153,155)
13111        ( 14,206, 63,245,282)( 15, 42,146,255,261)( 16,145,263,167, 69)
13112        ( 18,294, 82,170,218)( 19, 81,212,179, 22)( 20,267,268, 57,151)
13113        ( 21,252,259,279,201)( 23,225, 39, 94, 48)( 24, 55,288,254,250)
13114        ( 25,126, 95,230,190)( 27, 36,108,205,127)( 28,284, 72,213,244)
13115        ( 29,138,235,291,169)( 30, 79,292,122,296)( 32,249, 40,144,107)
13116        ( 33, 87,129,271,215)( 34, 43,187,121,160)( 35,246, 37,173,156)
13117        ( 38,115, 97,166,214)( 44,234,265, 74,159)( 45,185,270,224, 50)
13118        ( 46, 61,253, 53,139)( 47,272,128,199,188)( 49,285, 76,286,203)
13119        ( 52,175, 78,217,192)( 56,258,195,281, 93)( 58,247,242,135,125)
13120        ( 59,239,274,287,119)( 60,141,260,143,183)( 64,194,132,229,105)
13121        ( 65,140,295,186,174)( 68,133,120,172,233)( 71, 83,162,131,171)
13122        ( 75,184,231,150, 85)( 77,202,124,204,240)( 80,101,154, 96,182)
13123        ( 84,264,112, 98,123)( 88,300,104,237, 91)( 89,180,211,103,216)
13124        (100,298,227,209,158)(102,176,113,228,136)(109,164,241,168,226)
13125        (111,278,196,142,181)(134,251,275,208,197)(137,177,157,289,277)
13126        (148,283,163,236,193)(152,290,248,200,266)(191,223,293,232,238) ] ],
13127[ 2, 15600, 0, "2", [ [ 13, 3 ], [ 26, 4 ], [ 52, 3 ] ], 1, "PSL(2, 5^2).2",
13128  [ "L", [ 2, 25 ], 1 ],
13129  [ (  1,295,  8,270,124,296,121, 27, 85,158,294,128)(  2,142,210, 22, 40,114,
13130         203,290,257,172,273,  6)(  3,163,155,293,167, 52,195,267,161, 83, 29,
13131         192)(  4,202, 63,111,205,251,249, 82, 14,266,174,275)
13132        (  5, 97, 94,247,260, 96, 21,271,113,229,180,147)(  7,173, 71, 39,123,
13133         92,101,287,232,228,164, 93)(  9,245,280,288,208, 50, 15,282,187,189,
13134         134,227)( 10,231,185,178,199, 43, 13, 17,100,198,122,220)
13135        ( 11, 54,107, 70, 30,152,250,184,299,261,272,181)( 12,265,137, 78,190,
13136         104)( 16,109, 62, 20,246,223,291, 84, 56,236, 59,162)
13137        ( 18, 51, 53, 65,212, 28,204, 49,253,108, 68,213)( 19,110, 99,285,196,
13138         55,120, 32,255,297,248, 66)( 23, 64,281,154, 41,131,102,125,222,149,
13139         252,191)( 24,243, 72, 42, 79, 61,219,150,284, 67, 47,139)
13140        ( 25, 57,276,159,169,242,230,148,259, 44, 69,132)( 26,117,127, 81, 45,
13141         218,286,160,186,133,298,240)( 31,153, 33, 48,217, 89, 80,262, 38,176,
13142         175,143)( 34,254,179,209,146, 76,269,116,233,224,165,221)
13143        ( 35,215,289, 98,103,237,239,115,157,241, 60,300)( 36,207, 86,170,292,
13144         278,140, 75,144, 77,188,200)( 37,234,136,112, 95,256,119, 74,225,168,
13145         126,182)( 46, 90,197,244,118,206)( 58,258, 88,279,171,177,105, 73,
13146          91,130,238,277)( 87,235,226,211,283,156,214,145,264,141,268,274)
13147        (106,129,263,135,216,151,201,166,138,194,183,193),
13148      (  1,224)(  2,118)(  3, 17)(  4, 84)(  5,  9)(  6,222)(  7, 72)(  8, 73)
13149        ( 10,238)( 11, 58)( 12,218)( 13,179)( 14, 65)( 15, 97)( 16,249)
13150        ( 18, 36)( 19, 94)( 20, 38)( 21,291)( 22, 23)( 24,141)( 25, 28)
13151        ( 26,154)( 27, 82)( 29,299)( 30,212)( 31, 49)( 32,274)( 33, 99)
13152        ( 34,100)( 35, 60)( 37,215)( 39,137)( 40,254)( 41,219)( 42,278)
13153        ( 43,155)( 44,172)( 45,206)( 46,176)( 47,232)( 48,293)( 50,192)
13154        ( 51,126)( 52,295)( 53,188)( 54,284)( 55,194)( 56,178)( 57,132)
13155        ( 59,276)( 61, 74)( 62,230)( 63,161)( 64,226)( 66,110)( 67,183)
13156        ( 68,113)( 69,196)( 70,152)( 71,159)( 75,221)( 76,190)( 77,186)
13157        ( 78,158)( 79,289)( 80, 88)( 81,234)( 83, 90)( 85, 93)( 86,246)
13158        ( 87,189)( 89,287)( 91,231)( 92,182)( 95,195)( 96,213)( 98,247)
13159        (101,297)(102,157)(103,235)(104,207)(105,169)(106,267)(107,236)
13160        (108,175)(109,271)(111,168)(112,214)(114,285)(115,250)(116,216)
13161        (117,153)(119,248)(120,199)(121,275)(122,162)(123,290)(124,197)
13162        (125,163)(127,282)(128,277)(129,148)(130,263)(131,228)(133,257)
13163        (134,217)(135,261)(136,233)(138,266)(139,296)(140,187)(142,151)
13164        (143,264)(144,241)(145,242)(146,259)(147,300)(149,258)(150,244)
13165        (156,181)(160,227)(164,211)(165,229)(166,239)(167,260)(170,251)
13166        (171,292)(173,201)(174,204)(177,210)(180,255)(184,281)(185,280)
13167        (191,265)(193,252)(198,237)(200,283)(202,262)(203,243)(205,269)
13168        (208,220)(209,245)(223,272)(225,253)(240,270)(256,286)(268,273)
13169        (279,288)(294,298) ] ],
13170[ 3, 15600, 0, "2", [ [ 13, 5 ], [ 26, 3 ], [ 52, 3 ] ], 1, "PSL(2, 5^2).2",
13171  [ "L", [ 2, 25 ], 1 ],
13172  [ (  1,270)(  2, 64)(  3,146)(  4, 14)(  5,247)(  6,281)(  7, 24)(  8,295)
13173        (  9,187)( 10,178)( 11,230)( 12, 90)( 13,198)( 15,280)( 16,236)
13174        ( 17,100)( 18,213)( 19,215)( 20,291)( 21,229)( 22,252)( 23,142)
13175        ( 25,250)( 26,240)( 27, 85)( 28,204)( 29,269)( 30,276)( 31, 36)
13176        ( 32,239)( 33,188)( 34,167)( 35,110)( 37,225)( 38,292)( 39, 67)
13177        ( 40,149)( 41,172)( 42,228)( 43,122)( 44,261)( 45,160)( 46,265)
13178        ( 47, 71)( 48, 77)( 49,212)( 50,288)( 51, 68)( 52,221)( 53,108)
13179        ( 54,242)( 55,157)( 56,109)( 57,152)( 58, 91)( 59,162)( 60,285)
13180        ( 61,287)( 62, 84)( 63,249)( 65,253)( 66,289)( 69,299)( 70,159)
13181        ( 72,164)( 73,258)( 74,234)( 75, 89)( 76,192)( 78,118)( 79,232)
13182        ( 80,140)( 81,186)( 82,202)( 83,116)( 86,175)( 87,226)( 88,105)
13183        ( 92,150)( 93,243)( 94, 97)( 96,180)( 98,248)( 99,300)(101,219)
13184        (102,290)(103,297)(104,197)(106,201)(107,169)(111,251)(112,256)
13185        (113,271)(114,222)(115,120)(117,298)(119,136)(121,158)(123,284)
13186        (124,128)(125,203)(127,133)(129,151)(130,277)(131,257)(132,184)
13187        (137,206)(138,183)(139,173)(141,156)(143,207)(144,217)(147,260)
13188        (148,181)(153,200)(154,273)(155,179)(161,233)(163,209)(165,195)
13189        (166,193)(168,182)(170,176)(177,279)(185,231)(189,227)(190,244)
13190        (191,210)(196,241)(199,220)(211,274)(214,264)(216,263)(218,286)
13191        (223,246)(224,267)(237,255)(245,282)(254,293)(259,272)(262,278)
13192        (266,275)(268,283)(294,296), (  1, 50,254, 35)(  2,285,231,149)
13193        (  3,  4,196,244)(  5,242,170,186)(  6,217, 46,250)(  7, 53, 92,216)
13194        (  8,226,213,155)(  9,138,246,126)( 10, 30,135, 12)( 11, 94,249,276)
13195        ( 13,255,272,187)( 14,133,247, 68)( 15,173,116,212)( 16, 66,197, 83)
13196        ( 17,268,277, 41)( 18, 77,148, 52)( 19,274,252,210)( 20, 23,270, 74)
13197        ( 21, 40,141,176)( 22,262,206,184)( 24, 93,136,257)( 25, 86,131, 81)
13198        ( 26,266,125, 58)( 27,146,198,127)( 28, 37,265, 85)( 29, 48,215, 56)
13199        ( 31, 80,264,119)( 32, 70,271,214)( 33,189,273,178)( 34,225,193,297)
13200        ( 36, 63,227,220)( 38,237,205,192)( 39, 96,208,158)( 42,172,296,293)
13201        ( 43,162,145,202)( 44,104, 98,150)( 45, 61,248,289)( 47, 62,295,204)
13202        ( 49,120,269,240)( 51,183,181,100)( 54,245,291,169)( 55,103,112, 67)
13203        ( 57,278,182,288)( 59,260,235,144)( 60,282,153,168)( 64,234,232, 90)
13204        ( 65,190, 87,261)( 69,128)( 71,134,147,105)( 72,101,218,203)
13205        ( 73,129,160, 78)( 75,299,284,294)( 76,239,279,180)( 79,174, 88,106)
13206        ( 82,130,287,222)( 84,109, 99,194)( 89,199,117,143)( 91,179,211,256)
13207        ( 95,230,140,281)(102,286,228,118)(107,283,151,253)(108,251,275,110)
13208        (111,236)(113,175,298,157)(114,238,195,139)(115,233,300,165)
13209        (121,164,191,223)(122,166,267,258)(123,221,263,229)(124,154,156,185)
13210        (132,167,201,200)(142,243,292,241)(152,219,177,207)(159,224,209,290)
13211        (171,259) ] ],
13212[ 4, 15600, 0, "2", [ [ 26, 11 ], [ 13, 1 ] ], 1, "PSL(2, 5^2).2",
13213  [ "L", [ 2, 25 ], 1 ],
13214  [ (  1,227)(  2,136)(  3, 69)(  4,254)(  5,173)(  6, 43)(  8, 86)(  9,200)
13215        ( 10,244)( 11, 88)( 12,237)( 13, 58)( 14,101)( 15,143)( 16,183)
13216        ( 17,105)( 18,269)( 19,211)( 20, 92)( 21,283)( 22,134)( 23,100)
13217        ( 24,122)( 25,151)( 26, 29)( 27,110)( 28,290)( 30,193)( 31,131)
13218        ( 32,194)( 34,297)( 35,192)( 36,220)( 37, 51)( 38,128)( 39,233)
13219        ( 40,109)( 41,212)( 42, 75)( 44,102)( 45, 96)( 46,278)( 48,287)
13220        ( 49,118)( 50,135)( 53,265)( 54,217)( 55,239)( 56,252)( 57,274)
13221        ( 59, 99)( 60,121)( 61,246)( 62,270)( 63,205)( 64, 76)( 65, 71)
13222        ( 66,209)( 67, 97)( 68,124)( 70,235)( 72,157)( 73,255)( 74,299)
13223        ( 77,242)( 78,272)( 79,174)( 80,248)( 82,145)( 83,273)( 84,201)
13224        ( 85,296)( 89,104)( 90,267)( 91,243)( 93,258)( 94,123)( 95,191)
13225        ( 98,277)(103,166)(106,221)(107,260)(108,161)(111,130)(112,279)
13226        (113,218)(114,184)(115,126)(116,190)(117,148)(119,253)(120,206)
13227        (125,291)(127,251)(129,245)(133,146)(137,231)(138,214)(139,177)
13228        (140,159)(141,300)(142,162)(147,219)(149,234)(150,195)(153,181)
13229        (154,247)(155,289)(156,275)(158,213)(160,202)(163,249)(164,178)
13230        (165,167)(168,189)(169,171)(170,262)(172,281)(175,185)(176,226)
13231        (179,250)(180,257)(182,259)(186,261)(187,222)(188,203)(196,225)
13232        (197,230)(198,298)(199,240)(204,284)(207,268)(210,256)(215,292)
13233        (216,293)(223,294)(228,238)(229,276)(232,285)(236,241)(264,271)
13234        (266,288)(282,295), (  1,239,190, 35,121)(  2, 54, 56, 86,248)
13235        (  3, 48,176,195, 78)(  4, 64,294, 71,192)(  5, 87,221,256, 88)
13236        (  6,274,156,114,244)(  7,205,178, 81,289)(  8,227, 25, 53,191)
13237        (  9,262,102,298,173)( 10,228, 26,202,300)( 11,165, 96,285,150)
13238        ( 12, 80, 83,293, 31)( 13,237, 82,286, 39)( 14,163,231,169, 18)
13239        ( 15,287, 45, 23,153)( 16,180,197,260,291)( 17,267, 63,204, 69)
13240        ( 19,116, 79, 94,261)( 20,206,236, 97,271)( 21, 91,182, 76,214)
13241        ( 22,162,110, 30,278)( 24,283,181,140, 58)( 27,266, 93,252,161)
13242        ( 28,296,159,281,280)( 29,108,122,251, 57)( 32,223,172,200,272)
13243        ( 33, 60,245, 68, 43)( 34, 37,290,183, 66)( 36,152,268,219,105)
13244        ( 38,220,212,282,103)( 40,224,166,168,255)( 41, 92,111,295,155)
13245        ( 42,107,279,145, 77)( 44,128,213,187,222)( 46,226,257,210,264)
13246        ( 47,254,120, 70,113)( 49,115,185,134,143)( 50, 85,131,253,230)
13247        ( 51, 89,208,100,215)( 52,232,124,125,249)( 55,216,142,119,269)
13248        ( 59,238,193, 74,188)( 61,139,201, 90,106)( 62,184,203,196,144)
13249        ( 65,167,148,275,199)( 67,170,235,130,299)( 72,118,284,194,135)
13250        ( 73, 75,138, 84, 95)( 98,270,265,158,241)( 99,112,129,209,273)
13251        (101,157,133,198,174)(104,242,186,127,132)(109,263,207,258,126)
13252        (117,288,149,123,175)(136,141,277,233,229)(137,240,276,259,218)
13253        (146,250,243,297,147)(151,171,246,292,234)(154,189,160,217,164)
13254        (177,211,225,247,179) ] ],
13255[ 5, 31200, 0, "2", [ [ 13, 1 ], [ 26, 3 ], [ 52, 4 ] ], 1, "PSL(2, 5^2).2^2",
13256  [ "L", [ 2, 25 ], 1 ],
13257  [ (  1,210)(  2,116)(  3,  5)(  4,276)(  6, 99)(  7, 38)(  8, 94)(  9,194)
13258        ( 10,222)( 11,272)( 12, 95)( 13, 33)( 14,227)( 15,241)( 16,293)
13259        ( 17,159)( 18,223)( 19,213)( 20,277)( 21,136)( 22, 65)( 23,124)
13260        ( 24,239)( 25,146)( 26,162)( 27,226)( 28,250)( 29,281)( 30,198)
13261        ( 31,225)( 32, 81)( 34,160)( 35,154)( 36,201)( 37,257)( 39,172)
13262        ( 40,244)( 41,164)( 42,273)( 43, 79)( 44,148)( 45,112)( 46,155)
13263        ( 47,131)( 48,193)( 49, 57)( 50, 96)( 51,289)( 52,218)( 53,101)
13264        ( 54,251)( 55,288)( 56, 63)( 58, 61)( 59,179)( 60,157)( 62, 82)
13265        ( 64,114)( 66,268)( 67,118)( 68,150)( 69,110)( 70,296)( 71,298)
13266        ( 72,287)( 73,182)( 74,180)( 75,236)( 76,260)( 77,265)( 78, 91)
13267        ( 80,109)( 83,141)( 84,238)( 85,204)( 86,300)( 87,247)( 88,126)
13268        ( 89,275)( 90,217)( 92,242)( 93,219)( 97,211)( 98,156)(100,286)
13269        (102,168)(103,231)(104,252)(105,121)(106,117)(107,284)(108,191)
13270        (111,283)(113,185)(115,133)(119,186)(120,196)(122,200)(123,190)
13271        (125,299)(127,139)(128,169)(129,153)(130,232)(132,290)(134,202)
13272        (135,259)(137,209)(138,188)(140,295)(142,149)(143,285)(144,174)
13273        (145,192)(147,208)(151,291)(152,266)(158,235)(161,175)(163,184)
13274        (165,187)(166,240)(167,253)(170,224)(171,195)(173,255)(176,271)
13275        (177,221)(178,248)(181,216)(183,189)(197,256)(199,203)(205,230)
13276        (206,258)(207,234)(212,254)(214,233)(215,261)(220,228)(229,292)
13277        (237,280)(243,278)(245,267)(246,263)(249,274)(262,270)(264,269)
13278        (279,294)(282,297), (  1, 65,175, 95)(  2, 32,123, 13)(  3, 87,214,126
13279         )(  4, 93,209, 20)(  5, 42, 99, 91)(  6,114,148, 86)(  7,252, 45,187)
13280        (  8, 81,194,281)(  9,190,162,122)( 10,279,204, 40)( 11, 79,141,110)
13281        ( 14,237,210,170)( 15,120, 19,129)( 16,241,257,207)( 17,262, 77, 68)
13282        ( 18,165,222, 70)( 21, 33, 25, 67)( 22,205)( 23, 53,224,140)
13283        ( 24,135, 47,213)( 26,293,183,300)( 27,287,109,238)( 28, 64,130, 37)
13284        ( 29, 88,118,239)( 30,230, 90,127)( 31, 75,216,235)( 34,161,286,282)
13285        ( 35,255,272,172)( 36,178, 60,271)( 38,167,174,186)( 39,200,211,133)
13286        ( 41, 84,206,229)( 43,119,164,278)( 44,145,233,284)( 46,234,152,259)
13287        ( 48,177,192,265)( 49,283,184,111)( 50, 89,276,243)( 51, 96, 55, 66)
13288        ( 52,100,185,218)( 56, 71,221,251)( 57,115, 61,116)( 58,132,180,291)
13289        ( 59, 74,143,163)( 62,117,198, 92)( 63,128,159,245)( 69,201,258,236)
13290        ( 72,242,231,269)( 73,288, 97,225)( 76,188,154,106)( 78,254,215,144)
13291        ( 80,296,153,105)( 82,295,171,101)( 83,168,260,179)( 85,138,203,264)
13292        ( 94,102,189,149)( 98,112,155,212)(103,208,292,156)(104,217,121,195)
13293        (107,223,166,199)(113,134,160,124)(125,250,263,146)(131,182,247,173)
13294        (136,274,232,249)(137,266,268,147)(142,289,285,181)(150,297,270,227)
13295        (157,267,158,244)(169,253,294,275)(176,240,277,193)(191,202,197,280)
13296        (196,228,226,273)(219,220,248,261)(246,290)(256,298) ] ],
13297[ 6, 4680000, 1, "2", [ [ 104, 1 ], [ 130, 1 ], [ 65, 1 ] ], 1, "PSp(4, 5)",
13298  [ "B", [ 2, 5 ], 1 ],
13299  [ (  1, 92, 59, 20, 97,275,116,230,175,155,121,110)(  2,102,107,195,221,196,
13300         105, 93, 55,132,191,178)(  3, 46,209,288, 68,123, 16, 42,179,220,  9,
13301         237)(  4,278, 54,207,202,183,186,145,254,180, 77,136)
13302        (  5,246, 83, 24,214, 85, 86, 33,139,291, 15,227)(  7,213,231,260)
13303        (  8,122,244,253,124, 75,119,150,211, 14,111,261)( 10,264, 71, 64,142,
13304         88, 58,104, 94,247,112,233)( 11,229, 23,171,206,166,100,125,298,222,
13305         115,285)( 12,256,130,141, 87, 21,157,259, 39,128, 67, 51)
13306        ( 13,296,216, 32,217,134, 18,292,140, 22, 47, 72)( 17,118,165)
13307        ( 19,113, 81,250,235,106, 49,265,146,144,266, 99)( 25, 43,109,151, 34,
13308         27, 38,236, 82,280,226, 61)( 26,257,269,293, 35,185, 73,274,137, 62,
13309          96, 84)( 28,120,287,135,101,189, 89,273,152,218,224, 45)
13310        ( 29, 37,161,187,117,163,198,194,294, 30,277,263)( 31,215, 44,133, 41,
13311         50,148,219,164,272,156,242)( 36,177,153,159,170, 60,284,192,167, 40,
13312         225,228)( 48,270, 63,188,200,190,129,193, 95,149, 74,147)
13313        ( 52,212,203,289,268,108,281,249, 69,143,240,204)( 53,243,174,131,210,
13314         78,282, 57,138,223,232, 90)( 56,271,286,173,262,184,299,176, 80,103,
13315         127,197)( 65,158,169,238,245,283,172,126,208,154, 91,239)
13316        ( 66,251,276,162)( 70,168)( 76,114,252,199,160,300,258,295,205,267,
13317         182,248)( 79,181,297,241)( 98,279,201,255,290,234),
13318      (  1,102, 25,258, 97,168,241,121,219, 98,177, 59,181)(  2,191,113,196,
13319          40,170,229, 19,125,  5,228, 96,171)(  3,273, 14,298, 58,202, 39,  9,
13320         24,145,172, 72,279)(  4,173, 11,132,136,154,286,235, 55,248,270,255,
13321          60)(  6,165,205,114,111, 17,  7, 85,101,284,186, 90,218)
13322        (  8,277,108,299, 70,142,237, 22,180, 21,174,283,269)( 10, 26,183,182,
13323         149,144, 71,175, 41,243, 68, 82,124)( 12, 80,176,264, 52,238,164, 94,
13324         232,230,259,296, 61)( 13, 37,185,159, 86, 27, 92,260,263,169,272, 88,
13325         166)( 15,178,276,295, 65, 78,150,139,190,293,262, 38,249)
13326        ( 16,207,214,233,294, 33,179,287,100, 73,234, 45,231)( 18,153,115,291,
13327         189,104, 77, 20,254, 44,118,215,206)( 23, 83,281, 28, 54,217, 49, 95,
13328         225,131,239, 42, 64)( 29,261,109,268,160, 56,201,120,119,143,242,220,
13329         43)( 30,204, 31,152,156,126,141,240, 50, 57,157,134, 53)
13330        ( 32,257,162, 74,250,288,192,194,138, 48,105,151,148)( 34,128,244,147,
13331         278,211,224,265, 35,252,208, 76,246)( 36, 91, 89, 87,267,187,140, 99,
13332         209,223,193,163,155)( 46,195,253,290,227,161,130,116,112,167,158,133,
13333         226)( 47,107,271,213,282, 84,297,184,222,110, 79,103,251)
13334        ( 51,216,274, 93, 67,203,188,236,197,256, 75,247,289)( 62,300,122,117,
13335         292,106, 63,210, 69,198,135,280,200)( 66,199,129, 81,146,123,245,212,
13336         137,221,266,275,127) ] ],
13337[ 7, 9360000, 0, "2", [ [ 104, 1 ], [ 130, 1 ], [ 65, 1 ] ], 1,
13338  "PSp(4, 5).2", [ "B", [ 2, 5 ], 1 ],
13339  [ (  1,151,223,119,280,146)(  2, 16,215, 58,  5, 39)(  3,264, 95,240,172,256
13340         )(  4,233, 14, 46,214, 41)(  6,178,282,114, 90,221)(  7,247,173, 82,
13341         103,250)(  8,276, 87,130,241, 50)(  9,197, 53,106,169,277)
13342        ( 10, 38,117,148,140, 93)( 11,263,126,206, 57,296)( 12,120,269,157,
13343         203,108)( 13, 34,275)( 15,144,180,273,202,201)( 17, 24, 22,136,245,
13344          45)( 18,161,285, 80, 44,260)( 19, 55,200,261,187,226)( 20, 25, 48)
13345        ( 21,154,143,217, 99,288)( 23,192, 65,181,125,135)( 26,159, 66,238,
13346         171,167)( 27,191,193, 70,102, 83)( 28,283,235,222,268,198)
13347        ( 29,299,194, 71,231,266)( 30,158,104, 78,271,123)( 31, 75,298,297,
13348         162,153)( 32, 69,199, 96, 88,155)( 33,107,168,134,196, 61)
13349        ( 35,239,207,188, 86,165)( 36,219,224,100,116,229)( 37,289,177, 94,
13350          91,293)( 40, 59,170,185,111,115)( 42,179,211, 72,270,272)
13351        ( 43,175,142,236,242,138)( 47,274,132,259,205,251)( 49,124,220,195,
13352          67,291)( 51,105,152, 63, 79,258)( 52, 84,139,176, 89,254)
13353        ( 54,122, 85,209,164,113)( 56,237, 73,141,218, 68)( 60,112, 92,182,
13354         131,234)( 62,184,246,101,249,186)( 64,227, 98, 77,137,183)
13355        ( 74,118,216)( 76,287,295,257,252,279)( 81,166,255,174,160,230)
13356        ( 97,190,281,121,212,292)(109,156,210,128,243,150)(110,265,189,248,
13357         204,149)(127,286,278)(129,213,253,262,228,163)(133,145,244)
13358        (147,232,284,208,294,225)(267,300,290),
13359      (  1, 42, 14,101,254)(  2,203,288, 27,180,130,250,114,222,218,216, 18,
13360          78,111,133, 11,191,271,275, 87)(  3,112, 41,295, 17, 74, 62, 49, 77,
13361         137,120,185,168,300, 94,262,225,287,158, 36)(  4,153,176,139,188,186,
13362         274, 72, 57,151,289, 58, 89,198,266,237, 35,235,238, 28)
13363        (  5,272, 54,144, 70,193,109,239,261,121,146,282,156,265, 38, 22,206,
13364          15, 33,160)(  6,244, 24,294, 60,104,277,207, 93,177,247, 32, 80,297,
13365         162, 98,270,208,229,159)(  7, 71,103, 25,138,202,142,148,245,172,199,
13366         73,190,253,263, 86, 84, 20, 85,258)(  8,251, 68,232,201,131,264,240,
13367          59,290,166, 64,122,252, 88,171,192,150,221, 66)(  9,231, 92, 48,125,
13368         226,117,143, 37,243,182,149,164,179,259,189,249, 19,181,173)
13369        ( 10, 55, 39,174, 45,118,242,200,163,227,279,299,127,278, 91,257, 13,
13370         260,129, 23)( 12, 67,136,217)( 16,281, 76, 81,108)( 21,161,224,106,
13371         273,223,155,184, 65,105, 46,102,126,241, 82,119,204,236, 75, 30)
13372        ( 26,284,246,292, 52,165,293, 50, 51,183,170,269,116, 61,115,234,255,
13373         107, 31, 47)( 29,268,280,141, 69, 79,298,211,152,219,147, 97,267, 44,
13374         145,110, 34,220,123, 99)( 40,169,283, 90,194,228,140,214,197,215,233,
13375         63,128, 43,205,276,291,230,195,175)( 53,213,210,248,256,100,187, 56,
13376         212,178,286,135,113,134,285,157, 95,209,132,296)( 83,154,124,196)
13377        ( 96,167) ] ],
13378[ 8, 7755605021665492992000000, 1, "2", [ [ 253, 1 ], [ 46, 1 ] ], 1,
13379  "Alt(25)", [ "A", 25, 1 ],
13380  [ (  2,  3,  5,  8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
13381         173,192,212,233,255)(  4,  7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92,
13382         106,121,137,154,172,191,211,232,254,277,300)(  6, 10, 15, 21, 28, 36,
13383         45, 55, 66, 78, 91,105,120,136,153,171,190,210,231,253,276,299,278)
13384        (  9, 14, 20, 27, 35, 44, 54, 65, 77, 90,104,119,135,152,170,189,209,
13385         230,252,275,298,256,279)( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,
13386         134,151,169,188,208,229,251,274,297,234,257,280)( 18, 25, 33, 42, 52,
13387         63, 75, 88,102,117,133,150,168,187,207,228,250,273,296,213,235,258,
13388         281)( 24, 32, 41, 51, 62, 74, 87,101,116,132,149,167,186,206,227,249,
13389         272,295,193,214,236,259,282)( 31, 40, 50, 61, 73, 86,100,115,131,148,
13390         166,185,205,226,248,271,294,174,194,215,237,260,283)( 39, 49, 60, 72,
13391         85, 99,114,130,147,165,184,204,225,247,270,293,156,175,195,216,238,
13392         261,284)( 48, 59, 71, 84, 98,113,129,146,164,183,203,224,246,269,292,
13393         139,157,176,196,217,239,262,285)( 58, 70, 83, 97,112,128,145,163,182,
13394         202,223,245,268,291,123,140,158,177,197,218,240,263,286)
13395        ( 69, 82, 96,111,127,144,162,181,201,222,244,267,290,108,124,141,159,
13396         178,198,219,241,264,287)( 81, 95,110,126,143,161,180,200,221,243,266,
13397         289, 94,109,125,142,160,179,199,220,242,265,288),
13398      (  1,  2,  4)(  3,  6,  7)(  5,  9, 11)(  8, 13, 16)( 12, 18, 22)
13399        ( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)( 38, 48, 56)( 47, 58, 67)
13400        ( 57, 69, 79)( 68, 81, 92)( 80, 94,106)( 93,108,121)(107,123,137)
13401        (122,139,154)(138,156,172)(155,174,191)(173,193,211)(192,213,232)
13402        (212,234,254)(233,256,277)(255,278,300) ] ],
13403[ 9, 15511210043330985984000000, 0, "2", [ [ 253, 1 ], [ 46, 1 ] ], 1,
13404  "Sym(25)", [ "A", 25, 1 ],
13405  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
13406          91,101,111,122,133,145,157)(  4,  6,  8, 11, 14, 18, 22, 27, 32, 38,
13407         44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,170)
13408        (  9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,
13409         124,135,147,159,172,184,183,196)( 16, 20, 24, 29, 34, 40, 46, 53, 60,
13410         68, 76, 85, 94,104,114,125,136,148,160,173,185,198,197,209,222)
13411        ( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,161,
13412         174,186,199,211,210,223,235,248)( 36, 42, 48, 55, 62, 70, 78, 87, 96,
13413         106,116,127,138,150,162,175,187,200,212,225,224,236,249,261,271)
13414        ( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,188,201,213,
13415         226,238,237,250,262,272,280,287)( 64, 72, 80, 89, 98,108,118,129,140,
13416         152,164,177,189,202,214,227,239,252,251,263,273,281,288,293,297)
13417        ( 81, 90, 99,109,119,130,141,153,165,178,190,203,215,228,240,253,247,
13418         260,270,279,286,292,296,299,300)(100,110,120,131,142,154,166,179,191,
13419         204,216,229,241,254,264,221,234,246,259,269,278,285,291,295,298)
13420        (121,132,143,155,167,180,192,205,217,230,242,255,265,274,195,208,220,
13421         233,245,258,268,277,284,290,294)(144,156,168,181,193,206,218,231,243,
13422         256,266,275,282,169,182,194,207,219,232,244,257,267,276,283,289),
13423      (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
13424        ( 90,100)(110,121)(132,144)(156,169)(157,170)(171,183)(182,195)
13425        (184,197)(198,210)(208,221)(211,224)(225,237)(234,247)(238,251)
13426        (252,260) ] ],
13427[10, Factorial(300)/2,1,"2",[[299,1]],298, "Alt(300)", ["A",300, 1], "Alt"],
13428[11, Factorial(300),0,"2",[[299, 1]],300, "Sym(300)", ["A",300, 1], "Sym"]];
13429