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21  [ (  4, 31,200,294,130, 99,158, 51)(  5, 39, 52,135,159,191,100, 78,131,301,
22         295, 57,201,119, 32,224)(  6,167, 66,169,102, 42,171,142,132, 63,109,
23         177,281,123,197,263)(  7,168,207,106, 21,219,297, 40,173,304,227,195,
24         265,124, 29,302)(  8,136, 96, 14, 27, 90,188,122,260, 58,182, 12,214,
25         283, 95, 13)(  9,204, 75,164,289, 26,285, 35, 93,288,230,143,149,240,
26         147,229)( 10, 16,254,110,192,279, 87,306,272,259,176,152,120,211,233,
27         180)( 11, 92, 23,165,107, 70, 79,298, 41, 69,162,155,121,261,225,181)
28        ( 15,245,226,228,170,203,115, 62,108,205,284,111,247,282,216,198)
29        ( 17,104,243, 74,271,244,292,154,174,213,269,277,126,148,256,139)
30        ( 18, 22,185,221,264,141,305,153,150,212, 43,217, 60,114,255,208)
31        ( 19, 80, 25,268,105,286, 54, 94, 85, 91, 44,112,241,270, 72,127)
32        ( 20,262,179,138,237,103, 24,183, 47,215,291,186, 84,161,137,156)
33        ( 28,274,250,175, 33,236,210,232, 71, 64,113,290,101, 73,128,275)
34        ( 30,199,133, 76,299,222,129,117,307, 98, 50,293,189,157, 37, 55)
35        ( 34,196,287,234,166, 65,145,146,267,193, 89,220, 97,258,251,206)
36        ( 36, 82,296,231,144,253,266, 83,278, 86, 53,257,140,178,280,276)
37        ( 38,223,118, 56,300, 77,190,134)( 45,239,242,194, 88,116,187, 81, 68,
38         67,249,248,125,235,209, 46)( 48,163, 49,273,151,252,202,218, 61, 59,
39         172,303,238,246,160,184),
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42         264, 45,268,211,219, 28,168,185, 29,  9,114,212, 78, 77,199,  6,121,
43          69, 44,246,280, 58,112, 21,243,156,107,260, 22,224,223,307,166, 93,
44         215, 57, 56, 76,181,263, 48,124,296,253,281,177,207,228,241, 86, 27,
45         269,221,302,237,104,201,200,117,180,153,192,196,128,142,171,262,135,
46         134,133,230, 97,126,136,249,100, 99,299,217,272, 91,164, 15,132, 12,
47          88, 94, 52, 51,129,235,257, 43,306,138, 41,204,  5,  4,157,278, 81,
48         303,140,276,165,111,248,116, 64,227, 34,191,190,222,210,163,182, 83,
49          96,236,115, 53,175,279,233,220,255,143,258, 65,108, 49,231, 24,127,
50         295,294,189,183, 14,286,229,247, 60, 80,154, 18, 92, 67, 17,205,273,
51         113,174,145,178,202,106, 26,266,162,226,146, 66, 90,179,298, 59,155,
52         267,119,118, 98,172,274,110,105,232,250,289,254,151,245, 63,148,197,
53         141,103,203,184,125,187,214,285, 13,259,239,149,304,137,209,261, 89,
54          82, 70,282, 42,102,252,101,218,270, 74, 20, 16, 25,169,152,194, 54,
55          46,167,288,131,130,293, 95,186,122,  7,283,305,139, 84,240, 33,123,
56         160,120,170, 47,173,225, 35,193, 36, 85, 75,198, 39, 38,  3,  2)
57        (  8,161,287,275,144, 73,234,291,188,208,195,213,159,158, 50,256, 40,
58         150) ] ],
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62[ 5, 614, 2, "1", [ [ 2, 153 ] ], 1, "D(2*307)", [ "Z", 307, 1 ],
63  [ [ [ Z(307)^153 ] ] ] ],
64[ 6, 921, 2, "1", [ [ 3, 102 ] ], 1, "307:3", [ "Z", 307, 1 ],
65  [ [ [ Z(307)^102 ] ] ] ],
66[ 7, 1842, 2, "1", [ [ 6, 51 ] ], 1, "307:6", [ "Z", 307, 1 ],
67  [ [ [ Z(307)^51 ] ] ] ],
68[ 8, 2763, 2, "1", [ [ 9, 34 ] ], 1, "307:9", [ "Z", 307, 1 ],
69  [ [ [ Z(307)^34 ] ] ] ],
70[ 9, 5219, 2, "1", [ [ 17, 18 ] ], 1, "307:17", [ "Z", 307, 1 ],
71  [ [ [ Z(307)^18 ] ] ] ],
72[ 10, 5526, 2, "1", [ [ 18, 17 ] ], 1, "307:18", [ "Z", 307, 1 ],
73  [ [ [ Z(307)^17 ] ] ] ],
74[ 11, 10438, 2, "1", [ [ 34, 9 ] ], 1, "307:34", [ "Z", 307, 1 ],
75  [ [ [ Z(307)^9 ] ] ] ],
76[ 12, 15657, 2, "1", [ [ 51, 6 ] ], 1, "307:51", [ "Z", 307, 1 ],
77  [ [ [ Z(307)^6 ] ] ] ],
78[ 13, 31314, 2, "1", [ [ 102, 3 ] ], 1, "307:102", [ "Z", 307, 1 ],
79  [ [ [ Z(307)^3 ] ] ] ],
80[ 14, 46971, 2, "1", [ [ 153, 2 ] ], 1, "307:153", [ "Z", 307, 1 ],
81  [ [ [ Z(307)^2 ] ] ] ],
82[ 15, 93942, 2, "1", [ [ 306, 1 ] ], 2, "AGL(1, 307)", [ "Z", 307, 1 ],
83  [ [ [ Z(307) ] ] ] ]];
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86  [ "L", [ 2, 307 ], 1 ], "psl" ],
87[ 2, 28934136, 0, "2", [ [ 307, 1 ] ], 3, "PGL(2, 307)",
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93[2, Factorial(309),0,"2",[[308, 1]],309, "Sym(309)", ["A",309, 1], "Sym"]];
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95[[1, Factorial(310)/2,1,"2",[[309,1]],308, "Alt(310)", ["A",310, 1], "Alt"],
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101[ 4, 622, 2, "1", [ [ 2, 155 ] ], 1, "D(2*311)", [ "Z", 311, 1 ],
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103[ 5, 1555, 2, "1", [ [ 5, 62 ] ], 1, "311:5", [ "Z", 311, 1 ],
104  [ [ [ Z(311)^62 ] ] ] ],
105[ 6, 3110, 2, "1", [ [ 10, 31 ] ], 1, "311:10", [ "Z", 311, 1 ],
106  [ [ [ Z(311)^31 ] ] ] ],
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110  [ [ [ Z(311)^5 ] ] ] ],
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112  [ [ [ Z(311)^2 ] ] ] ],
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114  [ [ [ Z(311) ] ] ] ]];
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123[[1, Factorial(313)/2,1,"2",[[312,1]],311, "Alt(313)", ["A",313, 1], "Alt"],
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126[ 4, 626, 2, "1", [ [ 2, 156 ] ], 1, "D(2*313)", [ "Z", 313, 1 ],
127  [ [ [ Z(313)^156 ] ] ] ],
128[ 5, 939, 2, "1", [ [ 3, 104 ] ], 1, "313:3", [ "Z", 313, 1 ],
129  [ [ [ Z(313)^104 ] ] ] ],
130[ 6, 1252, 2, "1", [ [ 4, 78 ] ], 1, "313:4", [ "Z", 313, 1 ],
131  [ [ [ Z(313)^78 ] ] ] ],
132[ 7, 1878, 2, "1", [ [ 6, 52 ] ], 1, "313:6", [ "Z", 313, 1 ],
133  [ [ [ Z(313)^52 ] ] ] ],
134[ 8, 2504, 2, "1", [ [ 8, 39 ] ], 1, "313:8", [ "Z", 313, 1 ],
135  [ [ [ Z(313)^39 ] ] ] ],
136[ 9, 3756, 2, "1", [ [ 12, 26 ] ], 1, "313:12", [ "Z", 313, 1 ],
137  [ [ [ Z(313)^26 ] ] ] ],
138[ 10, 4069, 2, "1", [ [ 13, 24 ] ], 1, "313:13", [ "Z", 313, 1 ],
139  [ [ [ Z(313)^24 ] ] ] ],
140[ 11, 7512, 2, "1", [ [ 24, 13 ] ], 1, "313:24", [ "Z", 313, 1 ],
141  [ [ [ Z(313)^13 ] ] ] ],
142[ 12, 8138, 2, "1", [ [ 26, 12 ] ], 1, "313:26", [ "Z", 313, 1 ],
143  [ [ [ Z(313)^12 ] ] ] ],
144[ 13, 12207, 2, "1", [ [ 39, 8 ] ], 1, "313:39", [ "Z", 313, 1 ],
145  [ [ [ Z(313)^8 ] ] ] ],
146[ 14, 16276, 2, "1", [ [ 52, 6 ] ], 1, "313:52", [ "Z", 313, 1 ],
147  [ [ [ Z(313)^6 ] ] ] ],
148[ 15, 24414, 2, "1", [ [ 78, 4 ] ], 1, "313:78", [ "Z", 313, 1 ],
149  [ [ [ Z(313)^4 ] ] ] ],
150[ 16, 32552, 2, "1", [ [ 104, 3 ] ], 1, "313:104", [ "Z", 313, 1 ],
151  [ [ [ Z(313)^3 ] ] ] ],
152[ 17, 48828, 2, "1", [ [ 156, 2 ] ], 1, "313:156", [ "Z", 313, 1 ],
153  [ [ [ Z(313)^2 ] ] ] ],
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155  [ [ [ Z(313) ] ] ] ]];
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165  "PSp(6, 2)", [ "B", [ 3, 2 ], 1 ],
166  [ (  1,  2,  3,  5,  8, 12, 18, 28, 15, 23, 35, 51, 71, 99,135)
167        (  4,  7, 10, 16, 24, 37, 53, 75,104,140,176, 36, 52, 73,101)
168        (  6,  9, 14, 21, 33)( 11, 17, 26, 40, 57, 79,110,147,184,117,157,196,
169         216,242,257)( 13, 20, 31, 45, 63, 87,119,159,198,235,111,149,187,134,
170         29)( 19, 30, 43, 61, 84)( 22, 34, 49, 68, 95,128,167,207, 38, 54, 76,
171         50, 70, 98,133)( 25, 39, 55, 77,106,143,179,219,141,177,151,190,231,
172         263,287)( 27, 42, 59, 82,115,155,154,194, 86,118,158,197, 44, 62, 85)
173        ( 32, 47, 66, 92,126,105,142,178,218,209,245,192, 93, 48, 67)
174        ( 41, 58, 80,112,150,189,229,261,199,236,267,290,305,288,132)
175        ( 46, 65, 90,123,162,202,237,269,292,307,107,144,180,220,255)
176        ( 56, 78,108,124,163,181,221,185,225,250,279,300,230,262,285)
177        ( 60, 83,116,156,195,234,266,137,173,214,251,129,168,208,244)
178        ( 64, 89,121, 74,103,138,174,201,188,228, 96,130,169,210,246)
179        ( 69, 97,131,170,211,247,276,298,311,248,243,274,113,152,191)
180        ( 72,100,136,109,146, 88,120,160, 81,114,153,193,233,223,256)
181        ( 91,125,164,204,240,232,265,286,272,294,301,313,264,289,296)
182        ( 94,127,166,206,172,213,148,186,226,258,282,303,306,183,224)
183        (102,139,175,215,253,238,270,293,309,312,308,278,145,182,222)
184        (122,161,200,165,205)(171,212,249,277,227,259,283,268,291,299,280,302,
185         297,252,275)(203,239,271,217,254,281,241,273,295,260,284,304,310,314,
186         315), (  2,  4)(  3,  6)(  7, 11)(  8, 13)(  9, 15)( 12, 19)( 14, 22)
187        ( 16, 25)( 17, 27)( 18, 29)( 20, 32)( 23, 36)( 24, 38)( 26, 41)
188        ( 30, 44)( 31, 46)( 33, 48)( 34, 50)( 39, 56)( 42, 60)( 45, 64)
189        ( 49, 69)( 51, 72)( 52, 74)( 54, 57)( 58, 81)( 62, 86)( 63, 88)
190        ( 65, 91)( 66, 93)( 67, 94)( 68, 96)( 73,102)( 75,105)( 77,107)
191        ( 78,109)( 79,111)( 80,113)( 83,117)( 84,118)( 89,122)( 90,124)
192        ( 95,129)( 97,132)( 98,134)(100,137)(101,138)(104,141)(108,145)
193        (110,148)(112,151)(114,154)(120,126)(123,143)(125,165)(127,158)
194        (131,171)(133,172)(135,157)(142,170)(144,181)(146,183)(147,185)
195        (149,188)(152,192)(153,176)(155,173)(156,196)(159,199)(161,201)
196        (162,203)(164,180)(168,209)(175,216)(177,217)(182,223)(186,227)
197        (187,220)(189,230)(190,232)(193,213)(197,206)(200,233)(202,238)
198        (204,241)(205,242)(207,243)(210,245)(211,248)(212,250)(214,252)
199        (215,221)(219,225)(224,257)(228,260)(231,264)(234,256)(236,268)
200        (239,272)(244,275)(246,254)(249,278)(253,280)(259,261)(262,286)
201        (263,288)(270,276)(273,296)(274,297)(277,299)(279,301)(281,295)
202        (284,287)(285,302)(290,300)(291,306)(292,308)(294,310)(298,312)
203        (307,314) ] ],
204[ 2, 604800, 1, "2", [ [ 80, 1 ], [ 160, 1 ], [ 10, 1 ], [ 32, 2 ] ], 1,
205  "J_2", [ "Spor", "HJ = J(2) = F(5-)", 1 ],
206  [ (  1,123, 33, 64,136, 29,240, 92,250,273)(  2,271,150, 96, 63,241,208,177,
207         182, 34)(  3,198,300, 25,179,187,  4,124, 32, 40)(  5,223,283,104,
208         200,193,279,282,195,242)(  6,291,280, 49, 94,292,231, 38, 47,286)
209        (  7, 76,304,302,157, 97, 91,290, 18, 81)(  8,140,244, 71,158)
210        (  9,176, 57,218,206,145,259,172, 73,307)( 10,262,164, 85,249, 24,191,
211         197,230,116)( 11,303, 44,236, 53, 90,252, 98,194,313)
212        ( 12,100,260, 48,174,101,167, 43,269, 79)( 13, 31,119,251,226,162,233,
213         152,267, 65)( 14,185,155,107,127, 78, 95,276,268,111)
214        ( 15, 61, 36,168,232,161,224,225,102,238)( 16,298,170,134,297,239, 87,
215         256,202,209)( 17, 69,264,222,126,211,178,163, 41,214)
216        ( 19,274,315, 54, 88, 45,272, 60,287,265)( 20,144,141, 58,186, 56,285,
217         296, 27, 89)( 21,261,295, 93,188)( 22,219,148, 83,258,227, 86,288,
218          52,294)( 23,130,314, 35,207,246,254,131,183,135)( 26,165,301,270,
219         204,281,132,229, 70,169)( 28, 55,154,199,217,289,114,311,201,190)
220        ( 30, 50,181, 84, 72, 62,121,112,305,215)( 37,128,171,196,263,220, 77,
221         139,149,257)( 39,253,106,129,243,299,115,234,113,166)
222        ( 42,118,312,133,212,153,213, 99,117,210)( 46,109, 80,120,306,221, 68,
223         159,125,237)( 51,160,277,284,122,110, 59,175,310, 67)
224        ( 66,293,156,151,180,235,138,205, 75,275)( 74,143,103,137,309,245,192,
225         147,228,248)( 82,173,247,216,142,146,308,266,255,105)
226        (108,278,189,203,184), (  1,  8, 92,257,171,267,163,137)(  2, 13)
227        (  3, 42,170, 12, 65,310,307,133)(  4, 57,279, 53,113,306,236,301)
228        (  5,314,282, 43,239, 40, 73, 89)(  6,144,247,181,100,215,123,211)
229        (  7,178,291,313, 34,268, 55,102)(  9,300,134,119)( 10,253, 47,172,
230         111,183,194,165)( 11,174,289, 38,156,150,169,273)( 14,141,157, 82,
231          77, 52,261,224)( 15,232,285,193, 99,219,311,167)( 16,271,214,249,
232          62,304, 51, 95)( 17,250,124, 50, 64,275,106,228)( 18,147,235, 19,
233          30,262,125,227)( 20, 48, 37,199,309,287,269, 49)( 21,218, 79,179,
234         258,204,283,246)( 22,149, 61,208,114, 26,110,117)( 23,266, 36,122,
235         162,277,145,241)( 24,276,263,288,217, 94,205,290)( 25,216,120,315,
236         251, 46,242, 33)( 27, 59, 68, 39, 44,264, 88,158)( 28,184,237, 86,
237         272, 83,274,138)( 29,121,159,146,210,142,161,270)( 32,254,201,296,
238         187,129,255,284)( 35,293,195,116,140,104, 80,240)( 41,160,164,135,
239         209, 54, 81,166)( 45,298,132, 90,148,109,177,112)( 56,233, 69,303,
240         168,299,206, 63)( 58,126,101,118,185,229,213,231)( 60,292, 78,286,
241         260, 84, 85, 93)( 66, 74,302,200,312,191,265,238)( 67, 96,127,294,
242          72,278,182,139)( 70,196,256,212,248, 91,245,188)( 71, 98,308,108,
243         226,128,221,153)( 75,222, 97,203,202,107,173,190)( 76,198)
244        ( 87,297,223,207,305,176,252,244)(103,189,281,234,259,151,136,130)
245        (105,225,230,192,180,295,175,220)(115,131,186,155,243,152,143,197)
246        (154,280) ] ],
247[ 3, 1209600, 0, "2", [ [ 80, 1 ], [ 160, 1 ], [ 64, 1 ], [ 10, 1 ] ], 1,
248  "J_2.2", [ "Spor", "HJ = J(2) = F(5-)", 1 ],
249  [ (  1, 25,252, 20,245,107)(  2,305, 81,254,299, 30)(  3, 54,242,231,121, 33
250         )(  4,  7,193,219,244, 10)(  5,246,  9, 28, 69, 85)(  6, 50, 98, 75,
251          74, 31)(  8, 12,204,275, 99,113)( 11,272,124, 53,162, 47)
252        ( 13,151,312, 21,192,315)( 14,230, 29,117,112,270)( 15, 96,169,212,
253         274,173)( 16,267,172)( 17, 76, 91, 49,266, 36)( 18,178,134, 65,143,
254         273)( 19,276,250,166, 60,105)( 22, 89,314,278,221, 80)
255        ( 23,132,133, 71,223, 86)( 24,164, 64,205, 37,298)( 26, 56,207, 92,
256         183, 66)( 27,294,279,311,189,222)( 32,159,181)( 34,302,130,108, 55,
257          43)( 35,187,171,238, 48,200)( 38,158,122,258, 42,210)
258        ( 39, 51,255, 57,217,307)( 40,296,265,177,175, 62)( 41,136,253,131,
259         239,102)( 44,141,288,170,225,150)( 45, 59,147,110, 77,165)
260        ( 46, 83,167, 78,281,213)( 52,120, 72,301,153,282)( 58,145,146,186,
261         137,234)( 61,160, 84,123,199,303)( 63,293, 93,138,185,168)
262        ( 67,144,257,194,251,247)( 68,227,216,287,156,198)( 70,155,104, 94,
263         237,149)( 73,114,157,191,100,269)( 79,291,264)( 82,256,152)
264        ( 87,182,163,285,280,268)( 88,180,103)( 90,129,214,232,277,248)
265        ( 95,271,184,125,142,226)( 97,306,308,309,116,241)(101,286,195,139,
266         190,236)(106,202,313,228,197,243)(109,289,300,304,140,283)
267        (111,284,235,220,218,126)(115,174,161,203,211,262)(118,310,148,261,
268         179,196)(119,188,229,176,292,249)(127,297,290)(128,215,208)
269        (135,240,233,295,206,201)(154,263,209,224,260,259),
270      (  1, 97)(  2, 42, 83,212,123,170,307,137,183,  4,104, 76)
271        (  3, 59,174,229,219,306,280,166,256,142,221, 86)(  5,235,115,162,194,
272         286,133,282,296, 63,249,112)(  6, 88,232, 87, 39,152,141,308, 54, 10,
273         191, 58)(  7,227,185,121, 82,101,119, 73,158,228, 81,167)
274        (  8,211, 60, 61, 56,195, 30,207,260, 15,145, 80)(  9,184,291,113)
275        ( 11,278,304,103, 26,305,136,208, 29,246,124,192)( 12, 92,311,277, 91,
276         239, 90, 45,129,233, 57, 93)( 13, 89,214,140,159,293, 31,310,215, 35,
277         223,274)( 14, 64,240,268,294, 28,100,234,209, 67,201, 52)
278        ( 16,176,242,254,164,182,265,283,312,266,157,224)( 17,300,163,281,126,
279         275,187, 34,190, 96,301,172)( 18,106,263,114,255,196,314,259,108, 36,
280         289,270)( 19, 49,298,295)( 20,272,220, 77)( 21,299,216,285)
281        ( 22,128,241,251,173, 40,186, 38, 69, 94,171,262)( 23, 46,284,302)
282        ( 24,257,247,222,105,315, 70,292,102,177, 37,288)( 25,125,130,206,261,
283         156,181,109,204, 99,127,117)( 27, 72, 41,197,210,230,213,116,178,135,
284         287,271)( 32,169,218,151)( 33, 51,188,180,161,134,144,290,253,252,
285         269, 55)( 43,237, 84,313)( 44,122,236, 74,244, 75,238,110,231,131,
286         276,148)( 47,154,139,297, 53,179,199, 65,189, 66, 50,149)
287        ( 48,111,175,309)( 62,245,205,243,250,118,258,153,150,303,279,165)
288        ( 68, 79,168,226,225,267,160,120,143,155, 95,147)( 71,200,264,193)
289        ( 78,107,217)( 98,273)(132,248,198)(138,202,146,203) ] ],
290[4, Factorial(315)/2,1,"2",[[314,1]],313, "Alt(315)", ["A",315, 1], "Alt"],
291[5, Factorial(315),0,"2",[[314, 1]],315, "Sym(315)", ["A",315, 1], "Sym"]];
292PRIMGRP[316]:=
293[[1, Factorial(316)/2,1,"2",[[315,1]],314, "Alt(316)", ["A",316, 1], "Alt"],
294[2, Factorial(316),0,"2",[[315, 1]],316, "Sym(316)", ["A",316, 1], "Sym"]];
295PRIMGRP[317]:=
296[[1, Factorial(317)/2,1,"2",[[316,1]],315, "Alt(317)", ["A",317, 1], "Alt"],
297[2, Factorial(317),0,"2",[[316, 1]],317, "Sym(317)", ["A",317, 1], "Sym"],
298[ 3, 317, 3, "1", [ [ 1, 316 ] ], 1, "C(317)", [ "Z", 317, 1 ], [  ] ],
299[ 4, 634, 2, "1", [ [ 2, 158 ] ], 1, "D(2*317)", [ "Z", 317, 1 ],
300  [ [ [ Z(317)^158 ] ] ] ],
301[ 5, 1268, 2, "1", [ [ 4, 79 ] ], 1, "317:4", [ "Z", 317, 1 ],
302  [ [ [ Z(317)^79 ] ] ] ],
303[ 6, 25043, 2, "1", [ [ 79, 4 ] ], 1, "317:79", [ "Z", 317, 1 ],
304  [ [ [ Z(317)^4 ] ] ] ],
305[ 7, 50086, 2, "1", [ [ 158, 2 ] ], 1, "317:158", [ "Z", 317, 1 ],
306  [ [ [ Z(317)^2 ] ] ] ],
307[ 8, 100172, 2, "1", [ [ 316, 1 ] ], 2, "AGL(1, 317)", [ "Z", 317, 1 ],
308  [ [ [ Z(317) ] ] ] ]];
309PRIMGRP[318]:=
310[[ 1, 15927348, 1, "2", [ [ 317, 1 ] ], 2, "PSL(2, 317)",
311  [ "L", [ 2, 317 ], 1 ], "psl" ],
312[ 2, 31854696, 0, "2", [ [ 317, 1 ] ], 3, "PGL(2, 317)",
313  [ "L", [ 2, 317 ], 1 ], "pgl" ],
314[3, Factorial(318)/2,1,"2",[[317,1]],316, "Alt(318)", ["A",318, 1], "Alt"],
315[4, Factorial(318),0,"2",[[317, 1]],318, "Sym(318)", ["A",318, 1], "Sym"]];
316PRIMGRP[319]:=
317[[1, Factorial(319)/2,1,"2",[[318,1]],317, "Alt(319)", ["A",319, 1], "Alt"],
318[2, Factorial(319),0,"2",[[318, 1]],319, "Sym(319)", ["A",319, 1], "Sym"]];
319PRIMGRP[320]:=
320[[1, Factorial(320)/2,1,"2",[[319,1]],318, "Alt(320)", ["A",320, 1], "Alt"],
321[2, Factorial(320),0,"2",[[319, 1]],320, "Sym(320)", ["A",320, 1], "Sym"]];
322PRIMGRP[321]:=
323[[1, Factorial(321)/2,1,"2",[[320,1]],319, "Alt(321)", ["A",321, 1], "Alt"],
324[2, Factorial(321),0,"2",[[320, 1]],321, "Sym(321)", ["A",321, 1], "Sym"]];
325PRIMGRP[322]:=
326[[1, Factorial(322)/2,1,"2",[[321,1]],320, "Alt(322)", ["A",322, 1], "Alt"],
327[2, Factorial(322),0,"2",[[321, 1]],322, "Sym(322)", ["A",322, 1], "Sym"]];
328PRIMGRP[323]:=
329[[1, Factorial(323)/2,1,"2",[[322,1]],321, "Alt(323)", ["A",323, 1], "Alt"],
330[2, Factorial(323),0,"2",[[322, 1]],323, "Sym(323)", ["A",323, 1], "Sym"]];
331PRIMGRP[324]:=
332[[ 1, 20495194533898641570004992000000, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
333  "Alt(18) wreath Sym(2)", [ "A", 18, 2 ],
334  [ (  1,172,288, 43, 62,148,232,194, 77,309,213,269,294,109,171,144, 49, 98,
335         155, 16,190,275,313, 69,256,222,122, 81,129,211,107,299)
336        (  2,244,282, 25, 56,238,228, 32, 74,237,210, 35,290,235,174, 36, 38,
337         242,156, 34,182,239,318, 33,254,240,120, 27,128,247,102, 29)
338        (  3,208,287,295, 55,166,234, 50, 80,147,214,197,293,307,177,270, 42,
339         116,153,142,193, 95,317, 15,262,276,115, 63,130,229,104, 83)
340        (  4,226,284, 79, 57,202,233,302, 73,165,216, 53,296,145,178,198, 41,
341         314,159,268,186,113,315,141,265, 96,119,  9,136,283, 97, 65)
342        (  5,316,285,259, 60,112,225,140, 85, 93,209, 17,298,271,169, 72, 40,
343         224,158, 88,183,203,323,303,253,168,126, 45,134,157,106,191)
344        (  6,118,279,133, 67, 94,227, 14, 82,273,205, 71,292,217,176, 90, 39,
345         206,161,304,181,167,324, 51,260,150,124,189,131,319,105,263)
346        (  7, 64,274,223, 68, 76,219,212, 89,291,199,179,306, 37,170,162, 52,
347         188,149,322,195,257,312,123,261,132,121, 99,137, 13,100,281)
348        (  8,154,286,187, 59,310,231,266, 78,111,207,143,301, 91,173, 18, 46,
349         278,151, 70,184,221,320, 87,255,204,125,297,127,175,108, 47)
350        ( 10,280,277, 61, 58,220,230, 86, 75,201,215,305,289,163,180, 54, 44,
351         152,160,196,185,311,321,267,258,114,117,135,139,103,101, 11)
352        ( 12, 28,272,241, 66, 22,218,248, 84, 21,200,251,300, 19,164,252, 48,
353          26,146,250,192, 23,308,249,264, 24,110,243,138, 31, 92,245)
354        ( 20,236,246, 30), (  1, 20, 87,175,302,279,181, 35,141,170, 68,286)
355        (  2, 74, 85,301,297,189,197,143,134, 62, 70, 16)(  3, 38, 75, 49,291,
356         45,183, 53,129, 44, 57, 52)(  4, 92, 76,103,292, 99,184,107,130, 98,
357          58,106)(  5,218, 82,157,300,207,191,125,131,224, 64,160, 12,200, 83,
358         121,293,225,190,161,138,206, 65,124)(  6,308, 79,265,306,243,186,323,
359         133,260, 72,250)(  7,254, 90,247,294,315,187,269,144,242, 60,322)
360        (  8, 56, 88, 13,290, 81,193,305,135,188, 71,142)(  9,182, 89,139,296,
361         63,196, 17,128, 80, 67,304)( 10,146, 84,211,299,117,185,233,136,152,
362          66,214, 11,110, 77,229,298,153,192,215,137,116, 59,232)
363        ( 14,272, 73, 31,303,171,194,287,127, 26, 69,178)( 15,164, 86,283,289,
364         27,195,179,140,278, 55, 34)( 18,236, 78,319,295,261,198,251,132,314,
365          61,268)( 19, 33,177,176,284,271)( 21, 51,165, 50,273, 37)
366        ( 22,105,166,104,274, 91)( 23,231,172,158,282,199, 29,123,167,230,280,
367         145, 30,213,173,122,275,217, 28,159,174,212,281,109)( 24,321,169,266,
368         288,235)( 25,267,180,248,276,307)( 32,285,163)( 36,249,168,320,277,
369         253)( 40, 93)( 41,219, 46,147, 48,201, 47,111)( 42,309, 43,255, 54,
370         237)( 95,220,100,148,102,202,101,112)( 96,310, 97,256,108,238)
371        (113,221,226,154,156,210,209,119)(114,311,223,262,162,246,204,317,115,
372         257,234,244,150,318,205,263,126,239,222,316,151,264,216,245)
373        (118,149,228,208,155,120,203,227)(240,312,313,259,270,252)
374        (241,258,324) ] ],
375[ 2, 40990389067797283140009984000000, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
376  "Alt(18)^2.2^2", [ "A", 18, 2 ],
377  [ (  1, 10)(  2, 11,  4,  3, 18, 16, 12, 14, 15,  7,  8)(  5,  9)( 13, 17)
378        ( 19, 28)( 20, 29, 22, 21, 36, 34, 30, 32, 33, 25, 26)( 23, 27)
379        ( 31, 35)( 37,262,145, 46,253,154)( 38,263,148, 39,270,160, 48,266,
380         159, 43,260,146, 47,256,147, 54,268,156, 50,267,151, 44,254,155, 40,
381         255,162, 52,264,158, 51,259,152)( 41,261,149, 45,257,153)
382        ( 42,258,150)( 49,269,157, 53,265,161)( 55,316,235,280)
383        ( 56,317,238,273, 72,322,246,284, 69,313,242,272, 65,310,237,288, 70,
384         318,248,285, 61,314,236,281, 58,309,252,286, 66,320,249,277, 62,308,
385         245,274, 57,324,250,282, 68,321,241,278)( 59,315,239,279)
386        ( 60,312,240,276)( 63,311,243,275)( 64,307,244,271)( 67,323,247,287)
387        ( 71,319,251,283)( 73,298,181,100,127,172,199,226,109, 82,289,190, 91,
388         136,163,208,217,118)( 74,299,184, 93,144,178,210,230,123, 79,296,182,
389         101,130,165,216,232,120, 86,303,187, 98,128,173,202,219,126, 88,300,
390         194,105,133,170,200,227,112, 75,306,196,102,140,177,205,224,110, 83,
391         292,183,108,142,174,212,231,115, 80,290,191, 94,129,180,214,228,122,
392          87,295,188, 92,137,166,201,234,124, 84,302,195, 97,134,164,209,220,
393         111, 90,304,192,104,141,169,206,218,119, 76,291,198,106,138,176,213,
394         223,116)( 77,297,185, 99,131,171,203,225,113, 81,293,189, 95,135,167,
395         207,221,117)( 78,294,186, 96,132,168,204,222,114)( 85,305,193,107,
396         139,179,211,233,121, 89,301,197,103,143,175,215,229,125),
397      (  1,217,220, 40, 51,141,136,100, 98, 26, 20,164,174,210,211,301,299,
398          83, 89,197,187,151,147,  3)(  2,163,228,202, 49,303,137, 82,107,188,
399         25,146,165, 12,199,229,292, 47, 87,143,190, 97,152, 21)
400        (  4, 37,231,130, 46,105,134, 28, 92,170, 30,200,175,300,209, 85,305,
401         191, 79,161,183,  7,145,219)(  5,307,230,274, 42,123,131,316,104,278,
402         24,110,167,318,212,283,294,119, 77,323,194,277,150,111)
403        (  6,109,221,310, 50,285,132,118, 95,314, 32,272,168,120,203,319,302,
404         281, 78,125,185,313,158,273)(  8, 19,218,166, 48,213,139,298,101, 80,
405         35,182,169,156,201, 13,289,227, 76, 53,195,133,154, 93)
406        (  9, 55,234,256, 45, 69,144,262, 99, 62, 36,254,171, 66,216,265,297,
407          65, 90,269,189, 61,162,255)( 10, 91,224, 22, 38,177,138,208,103,296,
408         29, 74,179,192,205,157,291, 11, 73,233,184, 43,159,129)
409        ( 14,271,222,112, 41,321,140,280, 96,116, 23,308,176,282,204,121,293,
410         317, 86,287,186,115,149,309)( 15,127,226, 94, 44, 33,128,172,102,206,
411         31,290,173, 84,215,193,295,155, 75, 17,181,223,148, 39)
412        ( 16,235,232,238, 52,249,142,244,106,242, 34,236,178,246,214,247,304,
413         245, 88,251,196,241,160,237)( 18,253,225, 58, 54,267,135, 64,108,260,
414         27, 56,180,264,207, 67,306,263, 81, 71,198,259,153, 57)
415        ( 59,324,266,279, 60,126,257,315, 68,288,258,117)( 63, 72,270,261)
416        ( 70,252,268,243)(113,311,320,284,276,114)(122,275,312)
417        (124,239,322,248,286,240) ] ],
418[ 3, 40990389067797283140009984000000, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
419  "Alt(18)^2.4", [ "A", 18, 2 ],
420  [ (  1,224,271,188,307,260,109, 98,163,152, 19,  8,217,278,181,314,253,116,
421          91,170,145, 26)(  2,231,273,191,318,268,126,103,168,146, 33,  3,227,
422         282,196,324,265,114, 92,177,147, 29, 12,232,288,193,312,254,123, 93,
423         173,156, 34, 18,229,276,182,321,255,119,102,178,162, 31,  6,218,285,
424         183,317,264,124,108,175,150, 20, 15,219,281,192,322,270,121, 96,164,
425         159, 21, 11,228,286,198,319,258,110,105,165,155, 30, 16,234,283,186,
426         308,267,111,101,174,160, 36, 13,222,272,195,309,263,120,106,180,157,
427          24)(  4,226,287,189,311,266,115, 94,172,161, 27,  5,230,277,184,316,
428         269,117, 95,176,151, 22, 10,233,279,185,320,259,112,100,179,153, 23,
429          14,223,274,190,323,261,113,104,169,148, 28, 17,225,275,194,313,256,
430         118,107,171,149, 32,  7,220,280,197,315,257,122, 97,166,154, 35,  9,
431         221,284,187,310,262,125, 99,167,158, 25)( 37, 80,127,242,289,206)
432        ( 38, 87,129,245,300,214, 54, 85,132,236,303,201, 47, 84,142,252,301,
433         204)( 39, 83,138,250,306,211, 42, 74,141,237,299,210, 52, 90,139,240,
434         290,213)( 40, 82,143,243,293,212, 43, 76,136,251,297,203, 50, 79,130,
435         244,305,207, 41, 86,133,238,298,215, 45, 77,140,241,292,208, 53, 81,
436         131,248,295,202, 46, 89,135,239,302,205)( 44, 73,134,235,296,199)
437        ( 48, 88,144,247,294,200, 51, 75,137,246,304,216, 49, 78,128,249,291,
438         209)( 55, 62)( 56, 69, 57, 65, 66, 70, 72, 67, 60)( 58, 64, 71, 63,
439          59, 68, 61), (  1,194,163,190, 73,189,127,192,253,188)
440        (  2, 68,167,316, 88, 99,137,228,267, 44,  6, 32,164, 64, 77,315,142,
441         102,263,224, 15, 50,168, 28, 74, 63,131,318,268, 98, 11,230,177, 46,
442          78, 27,128, 66,257,314, 16,104,173,226, 87, 45,132, 30,254, 62,  5,
443         320,178,100, 83,225,141, 48,258, 26)(  3,248,180,280, 89,207,130,300,
444         265,152)(  4,302,175,154, 75,243,144,282,269,206)(  7,122,169,118,
445          79,117,133,120,259,116)(  8, 14,176,172, 82, 81,135,138,264,260)
446        (  9,140,174,262, 80)( 10, 86,171,136, 84,261,134, 12,266,170)
447        ( 13,158,165,244, 90,279,143,210,256,296)( 17,212,166,298, 85,153,129,
448         246,270,278)( 18,284,179,208, 76,297,139,156,255,242)
449        ( 19,182, 55,185,307,196, 91,191,217,195, 37,186)( 20, 56, 59,311,322,
450         106,101,227,231, 51, 42, 24)( 21,236, 72,275,323,214, 94,299,229,159,
451         39,240, 36,272, 71,203,310,304,103,155,219,249, 54,276, 35,200, 58,
452         293,319,160, 93,245,234,285, 53,204, 22,290, 67,149,309,250,108,281,
453         233,213, 40,294, 31,146, 57,239,324,286,107,209,220,303, 49,150)
454        ( 23,308, 70, 95,317,232,105, 47,222, 33, 38, 60)( 25,110, 61,113,313,
455         124, 97,119,223,123, 43,114)( 29,218, 69, 41,312, 34, 92, 65,221,321,
456         52, 96)(109,187)(111,241,126,277,125,205,112,295,121,151)
457        (145,183,235,198,271,197,199,184,289,193)(147,237,252,288,287,215,202,
458         292,301,157)(148,291,247,162,273,251,216,274,305,211)
459        (161,201,238,306,283) ] ],
460[ 4, 81980778135594566280019968000000, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
461  "Sym(18) wreath Sym(2)", [ "A", 18, 2 ],
462  [ (  1,125, 23, 55, 53,149,307,251,167,217,215,275,289,107,257,181, 89,131)
463        (  2,117, 24, 61, 47,157,324,249,174,220,212,278,291,106,262,182, 81,
464         132,  7,119, 31, 72, 51,156,310,248,170,219,214,280,290, 99,258,187,
465          83,139, 18,123, 30, 58, 50,152,309,250,172,218,207,276,295,101,265,
466         198, 87,138,  4,122, 26, 57, 52,154,308,243,168,223,209,283,306,105,
467         264,184, 86,134,  3,124, 28, 56, 45,150,313,245,175,234,213,282,292,
468         104,260,183, 88,136)(  5,109, 35, 59, 37,161,311,235,179,221,199,287,
469         293, 91,269,185, 73,143)(  6,115, 29, 67, 54,159,318,238,176,224,201,
470         286,298, 92,261,186, 79,137, 13,126, 33, 66, 40,158,314,237,178,226,
471         200,279,294, 97,263,193, 90,141, 12,112, 32, 62, 39,160,316,236,171,
472         222,205,281,301,108,267,192, 76,140,  8,111, 34, 64, 38,153,312,241,
473         173,229,216,285,300, 94,266,188, 75,142, 10,110, 27, 60, 43,155,319,
474         252,177,228,202,284,296, 93,268,190, 74,135)(  9,114, 25, 65, 49,162,
475         321,246,166,230,206,273,304,100,254,189, 78,133, 11,121, 36, 69, 48,
476         148,320,242,165,232,208,272,297, 96,259,191, 85,144, 15,120, 22, 68,
477          44,147,322,244,164,225,204,277,299,103,270,195, 84,130, 14,116, 21,
478          70, 46,146,315,240,169,227,211,288,303,102,256,194, 80,129, 16,118,
479          20, 63, 42,151,317,247,180,231,210,274,302, 98,255,196, 82,128)
480        ( 17,113, 19, 71, 41,145,323,239,163,233,203,271,305, 95,253,197, 77,
481         127), (  1, 64,150,238, 87, 49,140,277,291,101,  2,262,160,310, 84,
482         211,127, 61,294,245, 15, 46,158,274, 75,103,128,259,304,317, 12,208,
483         145, 58, 78,247,141, 43,302,281,  3,100,146,256, 88,319,138,205,289,
484          65,  6,244,159, 40, 86,283,129, 97,290,263, 16,316,156,202, 73, 67,
485         132,241,303, 47, 14,280,147, 94, 74,265,142,313,300,209)
486        (  4, 82,157,130, 79,301,137,  7,298,155)(  5,118,149,112, 77,121,131,
487         115,293,119)(  8,172,162, 22, 81,229,143,187,296,173, 18, 28,153,220,
488         89,193,134,169,306, 29,  9,226,161,184, 80,175,144, 25,297,227, 17,
489         190,152,166, 90, 31,135,223,305,191)( 10,154,148, 76, 85,139,133,295,
490         299, 11)( 13,136,151,292, 83)( 19, 63,222,251,195, 44,176,288, 21,
491          99,218,269,196,314,174,216)( 20,261,232,323,192,206,163, 72, 24,243,
492         231, 53,194,278,165,108)( 23,117,221,125,185,116,167,126)
493        ( 26,171,234, 35,189,224,179,198)( 27,225,233,197,188,170,180, 36)
494        ( 30,207,217, 71,186,242,177, 54, 32,279,219,107,182,260,178,324)
495        ( 33, 45,230,287,183, 98,164,270, 34,315,228,215,181, 62,168,252)
496        ( 37, 68,276,237,105, 38,266,286,309,102,200,253, 70,312,246,213)
497        ( 39,104,272,255,106,308,264,214,307, 66,204,235, 69, 42,248,285)
498        ( 41,122,275,111, 95,110,257,124,311,120,203,109, 59,114,239,123)
499        ( 48,212,271, 57, 96,236,267, 52,320,282,201, 91, 56,258,250,321)
500        ( 50,284,273, 93, 92,254,268,322,318,210,199, 55, 60,240,249, 51) ] ],
501[ 5, 11985408, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
502  "PSL(2, 17) wreath Sym(2)", [ "L", [ 2, 17 ], 2 ],
503  [ (  1,149,187, 73,154,205, 90,316,214,126,319, 52,120, 13, 41,192)
504        (  2,275,188,217,148, 61, 87,100,212,144,317,304,117,247, 53,264)
505        (  3,167,183,163,147,169, 75,172,201,180,309,178,111,175, 39,174)
506        (  4, 59,195, 91,158,133, 83,298,207,252,323,268,110,283, 44,228)
507        (  5,185,181,145,151, 79, 82,208,216,324,322,124,121, 49, 48, 12)
508        (  6, 23,186, 19,150, 25, 78, 28,204, 36,312, 34,114, 31, 42, 30)
509        (  7, 77,190,199,162,313, 88,118,211, 54,318, 16,113,193, 37,156)
510        (  8,221,184, 55,159, 97, 86,136,209,306,315,250,125,265, 38,282)
511        (  9,239,197,253,146,277, 80,226,202, 72,321,106,122,139, 47,300)
512        ( 10,203,198,307,160,115, 85, 46,210, 18,311,196,109,157, 43, 84)
513        ( 11,293,189,235,161,259, 74,280,206,234,310, 70,123,103, 50,138)
514        ( 14,131,191,289,153,241, 89,262,200,288,314,232,112, 67, 51,102)
515        ( 15, 95,194,127,155,295, 81,244,215,270,308,286,116,229, 40, 66)
516        ( 17,257,182,271,152,223, 76, 64,213,108,320,142,119,301, 45,246)
517        ( 20,276, 26,222, 22, 60, 33, 96, 32,132, 29,294, 27,240, 35,258)
518        ( 21,168)( 56,285, 98,230,130, 65,303, 99,248,143,263,290,279,242,233,
519         256)( 57,177, 93,176,129,173,291,171,237,179,255,164,273,170,219,166)
520        ( 58, 69,105,104,140,137,299,297,243,251,269,254,272,278,224,220)
521        ( 62,231, 94, 68,141,101,302,135,245,305,261,236,287,260,218,274)
522        ( 63,249,107,266,128,281,296,225,238, 71,267, 92,284,134,227,292),
523      (  1, 52,277,176,203,290,321,155,234,238,116,261, 30, 85,143, 93, 64,186
524         )(  2,322,281,230,202,110,315, 29,229,130,111, 63, 24, 13,142,273,
525          68,204)(  3, 70,276, 14,214,272,320,209,218,310,119,225, 22,121,135,
526         21, 67,132)(  4,124,279, 32,211,128,309, 65,222)(  5,304,285,158,216,
527         236,314,263,228, 76,125, 99, 28,193,127, 39, 61,168)(  6, 16,286,284,
528         212,200,308,317,227,220,112,117, 27, 31,139,129, 57, 60)
529        (  7,178,275,302,213,146,324,245,224,256,120, 81, 35,103,136,183, 55,
530          42)(  8,268,282, 86,215, 92,316,191,217, 40,115,171, 23,301,141,147,
531         72,240)(  9, 34,283,140,201, 56,312, 11,232,274,122,207, 20,319,137,
532         219, 58,114)( 10,196,271, 50,205,164,311,299,231,148,126,243, 26,265,
533         138, 75, 71, 96)( 12, 88,287,104,208,182,307, 47,223,166,113,297, 33,
534         157,144,237, 62,258)( 15,160,288,248,206,254,318, 83,233, 94,118,189,
535         19, 49,133,165, 59,294)( 17,106,280,194,199, 38,313,173,221,292,123,
536         153, 36,247,134,255, 66, 78)( 18,250,278,266,210, 74,323,101,226,184,
537         109, 45, 25,175,131,291, 69,150)( 37, 43,169,167,293,303,159,162,252,
538         242,260,264, 84, 89,107,100,190,181)( 41,295,177,149,306,249,152,270,
539         246, 80,269,102, 82,197, 91, 46,187,163)( 44,259,174, 77,305,105,154,
540         198,235)( 48, 79,179, 95,298,195,145, 54,241,170,257,300, 87,161,108,
541         244,188,253)( 51,151,180,239,296,267,156, 90,251, 98,262,192, 73, 53,
542         97,172,185,289) ] ],
543[ 6, 23970816, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1, "PSL(2, 17)^2.2^2",
544  [ "L", [ 2, 17 ], 2 ],
545  [ (  1, 20, 67,113)(  2, 56, 59,  5)(  3,308, 57,311)(  4,128, 69,185)
546        (  6,290, 63, 41)(  7, 92, 68,257)(  8,200, 62,203)(  9, 38, 60,293)
547        ( 10,146, 70,221)( 11,272, 66,239)( 12,236, 65,275)( 13,110, 55, 23)
548        ( 14,254, 61, 95)( 15,182, 58,131)( 16,218, 64,149)( 17,164, 72, 77)
549        ( 18, 74, 71,167)( 19, 31,121,109)( 21,319,111,307)( 22,139,123,181)
550        ( 24,301,117, 37)( 25,103,122,253)( 26,211,116,199)( 27, 49,114,289)
551        ( 28,157,124,217)( 29,283,120,235)( 30,247,119,271)( 32,265,115, 91)
552        ( 33,193,112,127)( 34,229,118,145)( 35,175,126, 73)( 36, 85,125,163)
553        ( 39,312,291,315)( 40,132,303,189)( 42,294,297, 45)( 43, 96,302,261)
554        ( 44,204,296,207)( 46,150,304,225)( 47,276,300,243)( 48,240,299,279)
555        ( 50,258,295, 99)( 51,186,292,135)( 52,222,298,153)( 53,168,306, 81)
556        ( 54, 78,305,171)( 75,323,165,324)( 76,143,177,198)( 79,107,176,270)
557        ( 80,215,170,216)( 82,161,178,234)( 83,287,174,252)( 84,251,173,288)
558        ( 86,269,169,108)( 87,197,166,144)( 88,233,172,162)( 89,179,180, 90)
559        ( 93,320,255,313)( 94,140,267,187)( 97,104,266,259)( 98,212,260,205)
560        (100,158,268,223)(101,284,264,241)(102,248,263,277)(105,194,256,133)
561        (106,230,262,151)(129,321,183,310)(130,141,195,184)(134,213,188,202)
562        (136,159,196,220)(137,285,192,238)(138,249,191,274)(142,231,190,148)
563        (147,322,219,316)(152,214,224,208)(154,160,232,226)(155,286,228,244)
564        (156,250,227,280)(201,314)(209,278,210,242)(237,317,273,318)
565        (245,281,282,246), (  1,308,273,180,136,120,251,206)(  2,272,288,144,
566         138,246,242,  8)(  3,164,280,126,143,210,235,314)(  4,254,279,198,
567         141, 84,241, 44)(  5, 56,281,108,142,228,247, 26)(  6,146,276,162,
568         132,156,240,152)(  7, 38,274,270,135,192,249, 80)(  9,182,285, 90,
569         133, 48,238,260)( 10,110,287,216,127,318,237,170)( 11, 92,286,234,
570         139, 30,239, 62)( 12,236,278, 18,128,282,252,134)( 13, 20,275, 72,
571         137,102,250,224)( 14,290,284,306,140,300,248,296)( 15, 74,277, 54,
572         130,264,243,188)( 16,218,283, 36,131, 66,245, 98)( 17,200,271,324,
573         129,174,244,116)( 19,311, 57,173,100,124,233,211)( 21,167, 64,119,
574         107,214,217,319)( 22,257, 63,191,105, 88,223, 49)( 23, 59, 65,101,
575         106,232,229, 31)( 24,149, 60,155, 96,160,222,157)( 25, 41, 58,263,
576          99,196,231, 85)( 27,185, 69, 83, 97, 52,220,265)( 28,113, 71,209,
577          91,322,219,175)( 29, 95, 70,227,103, 34,221, 67)( 32,293, 68,299,
578         104,304,230,301)( 33, 77, 61, 47, 94,268,225,193)( 35,203, 55,317,
579          93,178,226,121)( 37,310,255,171,190,123, 89,205)( 39,166,262,117,
580         197,213, 73,313)( 40,256,261,189,195, 87, 79, 43)( 42,148,258,153,
581         186,159, 78,151)( 45,184,267, 81,187, 51, 76,259)( 46,112,269,207,
582         181,321, 75,169)( 50,292,266,297,194,303, 86,295)( 53,202,253,315,
583         183,177, 82,115)(109,323,201,163,316,111,179,208)(114,161,204,145,
584         312,147,168,154)(118,125,215,199,307,309,165,172)(122,305,212,289,
585         320,291,176,298)(158,294) ] ],
586[ 7, 23970816, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1, "PSL(2, 17)^2.4",
587  [ "L", [ 2, 17 ], 2 ],
588  [ (  1, 88,134,195, 22,262, 50,295,222,239,164, 93,207,126,281, 13, 70,138,
589         321, 35,154, 37, 79,224,185,166,255,212,306,276,247, 56,102,315,125,
590         155)(  2,106,135,123, 29, 10, 52,133,231, 23,172, 39,205,234,275,175,
591         57,210,324,287,157, 55, 84,314,197,148,253, 86,296,186,238,254,104,
592         297,114,245)(  3,214,144,285, 31, 64, 48,313,233,149,163, 75,206,198,
593         274,265, 68,300,312,251,146, 91, 81,116,191,  4,268,140,303, 24,244,
594          38, 97,225,113,173)(  5,178,129,213, 36,280, 49, 61,228,311,179,147,
595         199, 90,278,193, 58,264,320,305,150,235, 74, 98,189,112,263, 14,304,
596         132,249, 20,100, 45,115,227)(  6,250,128,105, 27,118, 47,  7,232,131,
597         177, 21,208, 54,277,229, 59,174,309,215,162,271, 85, 62,192,310,269,
598         158,289, 78,242,182, 94,261,122,299)(  8,196,130,267, 32,298, 42,241,
599         218, 95,171,111,209, 18,286,139, 69, 30,316, 53,151,217, 77,170,183,
600         202,270,284,301, 60,246,308,107,153,109, 83)(  9,124,137, 15, 34,136,
601         51, 25,226, 41,169,219,203,180,273,211, 72,282,319, 71,156,307, 89,
602         152,181, 76,260,194,292,258,248,290, 96,243,110,101)( 11, 16,142,141,
603         33, 28, 46, 43,223,221,167,165,201,216,288,283, 67, 66,318,323,161,
604         145, 73, 80,188,184,256,266,302,294,240,236, 92, 99,117,119)
605        ( 12,322,143,159, 19, 82, 44,187,220,257,176,291,204,252,272,103, 63,
606         120,317, 17,160,127, 87, 26,190, 40,259,230,293,168,237,200,108,279,
607         121, 65), (  1,238,142,216,111,171, 46,224,301,258,272,107, 79, 15,
608         310,140,162,113,189, 37,242,304,204,273,179, 82,231,319,266,146, 95,
609         187)(  2, 94,133, 18,112,135, 54,116,297, 42,278,305, 78,285,323, 86,
610         159,311,194,145,239,196,199,237,178,208,219,175,262,218,103,259)
611        (  3,166,136,234,121,261, 38, 98,295,  6,274,143, 90,123,315, 50,152,
612         293,186,271,251, 88,213,309,176,154,221,193,253,236,106,205)
613        (  4,130,144,126,117, 45, 44,296,294,276,287, 89, 87,321,320,158,149,
614         185,181,235,250,214,201,165,172,226,229,265,254, 92, 97,  7)
615        (  5,184,127,252,124,207, 39,170,298,222,283,269, 74,105,313, 14,148,
616         131,198,109,243, 52,206,291,168,280,233, 85,267,308,104,151)
617        (  8,292,132,288,125, 81, 51,314,302,150,275,197, 73,249,322,212,147,
618         167,190,217,247,268,200, 93,169, 10,220,139,270,110, 99, 43)
619        (  9, 40,134,306,114,279, 53, 80,303,312,284,161, 77,195,307,248,160,
620         203,183,163,244,232,211,255,164,100,223, 13,256,128,108,115)
621        ( 11, 22,137, 36,119, 27, 47, 26,299, 24,281, 35, 83, 33,317, 32,155,
622          23,191, 19,245, 34,209, 21,173, 28,227, 31,263, 20,101, 25)
623        ( 12, 58,138, 72,120, 63, 48, 62,300, 60,282, 71, 84, 69,318, 68,156,
624          59,192, 55,246, 70,210, 57,174, 64,228, 67,264, 56,102, 61)
625        ( 16,202,129,180,118,225, 49,260,290, 96,277, 17, 76,141,324,122,153,
626          41,188,289,240,286,215, 75,177,316,230,157,257,182, 91,241)
627        ( 30, 65) ] ],
628[ 8, 47941632, 0, "4c", [ [ 34, 1 ], [ 289, 1 ] ], 1,
629  "PGL(2, 17) wreath Sym(2)", [ "L", [ 2, 17 ], 2 ],
630  [ (  1, 67,273, 36, 97,260,312,225, 46, 74,174,124,213,235, 65,291, 22,187,
631         257,  6,229,280, 90,102,116,321,243, 47,290,166,196,203)
632        (  2,175,286,216, 91, 62,309, 27, 43,254,168,232,208, 73, 66,111, 33,
633         241,263,294,220,190, 77, 12,121,285,252,101,296,310,189, 41)
634        (  3, 31,277,270, 96,224,316, 81, 48,110,177,250,209,289, 58,183, 23,
635           7,265,276,234,100, 80,318,117, 51,236,173,304,202,181, 59)
636        (  4,193,275, 18,103,278,324, 99, 44,308,171, 52,200,163, 70,201, 19,
637          61,255, 24,223,262, 78,228,118, 87,246,119,303,238,191,293)
638        (  5, 13,283,288,108, 98,314,315, 45, 38,164,178,214,199, 55, 57, 21,
639          25,259,258,222,226, 82, 84,120,123,249,245,299,292,184,185)
640        (  8,319,279, 54, 92,170,322,207, 37, 56,165, 34,205,253, 60,219, 28,
641          79,264,114,231,244, 83,300,112,195,239, 11,301,274,198, 95)
642        (  9, 49,272,180,106,206,307, 63, 39, 20,169,268,204,217, 64, 75, 30,
643         115,267,240,227,298, 76,192,113, 15,247,281,306, 94,188,311)
644        ( 10, 85,282,126,105,242,317,297, 40,182,167, 16,211,271, 72, 93, 26,
645         313,261, 42,218,172, 88,210,109, 69,237, 29,295,256,186,221)
646        ( 14,139,284,144,104,134,320,135, 50,128,176,142,212,127, 68,129, 32,
647         133,266,132,230,136, 86,138,122,141,248,137,302,130,194,131)
648        ( 17,157,287,162,107,152,323,153, 53,146,179,160,215,145, 71,147, 35,
649         151,269,150,233,154, 89,156,125,159,251,155,305,148,197,149)(143,158)
650        , (  1,275,116,244, 43,204,155,219, 91, 23,170, 82,313,132, 65,255)
651        (  2,282,125,250, 49,213,162,220, 92, 30,179, 88,319,141, 72,256)
652        (  3,271,113,242, 46,205,150,227, 93, 19,167, 80,316,133, 60,263)
653        (  4,272,120,251, 52,211,159,234, 94, 20,174, 89,322,139, 69,270)
654        (  5,278,118,241, 42,209,147,217, 95, 26,172, 79,312,137, 57,253)
655        (  6,281,111,235, 41,206,154,223, 96, 29,165, 73,311,134, 64,259)
656        (  7,276,119,237, 37,203,152,226, 97, 24,173, 75,307,131, 62,262)
657        (  8,280,115,240, 47,201,145,221, 98, 28,169, 78,317,129, 55,257)
658        (  9,279,117,243, 45,207,153,225, 99, 27,171, 81,315,135, 63,261)
659        ( 10,277,114,245, 39,199,149,224,100, 25,168, 83,309,127, 59,260)
660        ( 11,273,109,239, 44,208,151,222,101, 21,163, 77,314,136, 61,258)
661        ( 12,287,124,247, 51,216,148,218,102, 35,178, 85,321,144, 58,254)
662        ( 13,285,126,238, 38,210,161,232,103, 33,180, 76,308,138, 71,268)
663        ( 14,284,122,248, 50,212,158,230,104, 32,176, 86,320,140, 68,266)
664        ( 15,288,112,236, 48,215,160,229,105, 36,166, 74,318,143, 70,265)
665        ( 16,283,123,252, 40,200,156,233,106, 31,177, 90,310,128, 66,269)
666        ( 17,286,121,249, 54,202,146,228,107, 34,175, 87,324,130, 56,264)
667        ( 18,274,110,246, 53,214,157,231,108, 22,164, 84,323,142, 67,267)
668        (181,185,188,190,187,186,191,183)(182,192,197,196,193,195,198,184)
669        (289,293,296,298,295,294,299,291)(290,300,305,304,301,303,306,292) ]
670 ],
671[9, Factorial(324)/2,1,"2",[[323,1]],322, "Alt(324)", ["A",324, 1], "Alt"],
672[10, Factorial(324),0,"2",[[323, 1]],324, "Sym(324)", ["A",324, 1], "Sym"]];
673PRIMGRP[325]:=
674[[ 1, 4680000, 1, "2", [ [ 144, 1 ], [ 60, 1 ], [ 120, 1 ] ], 1, "PSp(4, 5)",
675  [ "B", [ 2, 5 ], 1 ],
676  [ (  1,  8,284,190,313,241,225,175, 99, 97)(  2, 91,252, 17,  9)
677        (  3,187, 94,206,202,257, 31,234, 47,219)(  4,138,180,292,107, 21,256,
678         315,161,116)(  5,286,254,  7,317,260, 33,269, 63,109)
679        (  6,251,121,299,154, 82,178, 48,307,231)( 10,197, 62,147,158,212,145,
680         289,320, 43)( 11,182,321,229,148, 95,133,228, 36,214)
681        ( 12,266,283, 84,120)( 13,146,236,169,221)( 14,144, 23,275,294,271,
682         324,118,100, 29)( 15,172,200,152, 89,123, 57,304,119,113)
683        ( 16, 22,325,210, 70, 61,160,261,215,233)( 18, 56)( 19,281,291,288,
684          66,208,153,245, 74,149)( 20,112,196, 68,230,159,259, 32,240, 80)
685        ( 24,130, 46,140,263, 59,316,104, 77,177)( 25, 81,258, 69,195)
686        ( 26,274,101, 79,309,163,213,209,319,142)( 27, 50,181,250, 76)
687        ( 28,174,270,306,192, 52, 34,255, 58, 44)( 30,264, 73,272,137,282,301,
688         93,267,322)( 35,167,222,280,308,102,139,141,134, 40)( 37, 98,290,106,
689         314)( 38,216)( 39,135, 72,277,131, 71,127,162,246,227)
690        ( 41,297,103,295,302,151,171,186, 88, 92)( 42,124,188,224,253)
691        ( 45, 60, 51,157, 65,179,191,136,285, 85)( 49,278,223,207,249,173, 64,
692         83,238,243)( 53,132)( 54,115,189,276,247,128,205,318,218,323)
693        ( 55,105,303,232, 87)( 67,279, 75, 96,170,129,125,305,310,211)
694        ( 78,248, 90,166,311)( 86,262,201,194,273)(108,287,204,122,293,203,
695         183,242,198,298)(110,185,155,193,296,168,244,237,217,114)
696        (111,226,117,268,165)(126,265)(143,176)(156,235,199,220,312)(164,184)
697        (239,300), (  1,160, 50,319, 45,151, 17,227, 44,147,201,247,223,114,
698          12,242,144, 38,146,187)(  2, 33,205,141, 10,265,310,100, 23, 15,103,
699         76,135, 90,169,189,251,293,259,155)(  3,104,130,106,132,237,301,288,
700         199,200)(  4,177,159,318,303,325, 84,314,186, 56,145,304,209, 55,170,
701         300,137,183,203,256)(  5,290,243,252, 98, 89,158,175,295,168,181,240,
702         127,140, 20,217,164,163,309,287)(  6,208,298, 52, 58,297,273, 51,283,
703         87,173,316, 26,161,167,124,244, 30,210,109)(  7,312,221,254,305,289,
704           8, 93,188,245, 48,142,306,264,233,197, 77,317,213,235)
705        (  9,280,149,180, 54,257,166,184,261, 28,123,202, 68, 62,215,212,270,
706          13,133, 78)( 11,105,138,249, 16,143, 46,211,152, 39, 65,269,311,282,
707         25,195,274,321,275,229)( 14,172, 47, 99,190,267, 72,174,125,272,198,
708         271, 34, 57,281,279,207,150,276,238)( 18,253,128,313,193,228,220,292,
709         148,285)( 19, 63,118, 85,157,185,315,222,176,113, 42,239,111,232,260,
710         74, 35, 94, 64,165)( 21,191, 97, 27, 96,182, 71,277, 29,286,102, 61,
711          24, 49,266,121,258, 81,171, 67)( 22,324,120,196)( 31,231,204, 40,
712         323,307,131,230, 79, 32)( 36,139,108, 66, 37, 60, 73,126, 43,117)
713        ( 41,241,268, 80)( 53,214,248, 70,136,263, 59,107,291,284,322,246,134,
714         69,115,156,226,255, 92,119)( 75,262,234,101, 82,302,194,112,110,294)
715        ( 83,250,154,216)( 86,308,296,192)( 88, 95,219,129, 91,225,278,116,
716         178,224)(122,218,153,162)(179,236,299,320) ] ],
717[ 2, 9360000, 0, "2", [ [ 144, 1 ], [ 60, 1 ], [ 120, 1 ] ], 1,
718  "PSp(4, 5).2", [ "B", [ 2, 5 ], 1 ],
719  [ (  1,136, 39, 88,129,109)(  2, 26,236,111,149,138)(  3,314,273, 47,175,287
720         )(  4,151,201,187, 92,122)(  5,274,297, 84,153,295)(  6, 36,208,272,
721         133,309)(  7,161,215,127,206,105)(  8,310,254, 37, 45,266)
722        (  9,292, 19,226, 13,209)( 10, 71,223)( 11,173, 68,148, 61,123)
723        ( 12, 17, 41, 63,117, 99)( 14, 24,299)( 15,155,289, 57,156, 28)
724        ( 16,279,242, 87, 60,194)( 18,128,258,164,181,267)( 20,134,237,188,
725         222, 29)( 21, 25,189,169, 30,229)( 22,200,250,243, 89,323)
726        ( 23,147,230,100,192,224)( 27, 64,172,318,238, 32)( 31,319,142, 94,
727         281, 74)( 33,171,239,283,284,143)( 34,211,126,197,157, 38)
728        ( 35,141, 56)( 40,244,113,102,235, 80)( 42,220, 53,196,296,265)
729        ( 43,132, 67, 58,176,285)( 44,203,225,166, 86,103)( 46,107,241, 77,
730         234, 98)( 48, 95, 79,231, 54, 66)( 49,293,163,249,140,291)
731        ( 50,307,139,115,282,308)( 51,240,271,125,253,185)( 52, 59,106, 90,
732         204,190)( 55,108,165, 70,104, 91)( 62,306,174,320,311,248)
733        ( 65,198,210,170,177, 83)( 69,280,218, 73,167,228)( 72, 82,275,269,
734         251,193)( 75,179,255,191,305, 78)( 76,116,121,276,221,264)
735        ( 81,324,286,137,294,246)( 85,159,312, 96,152,217)( 93,214,268,178,
736         205,252)( 97,212,298,290,270,262)(101,313,162,245,302,277)
737        (110,158,124,199,145,259)(112,150,168,304,184,144)(114,227,301,118,
738         135,195)(119,321,186)(120,257,278,317,256,233)(130,160,216,183,232,
739         300)(131,146,207,260,315,261)(154,247,180,322,182,219)
740        (213,325,263,288,303,316), (  1,132,286,230,300, 73,319,199,235,101)
741        (  2, 65,316, 22,276)(  3,267,130,158,220,156,104, 10,313, 83)
742        (  4, 70,188,283,280,155,227,162,223,274)(  5, 80, 92,297, 23,271, 87,
743         25,122,246)(  6,121, 33,159, 57,270, 98,221,324, 29)(  7, 99,260, 20,
744         137,196, 27,173, 94, 76)(  8,136,264,135, 64,293,149,174,187,152)
745        (  9,247, 21,212, 45)( 11,179,120,134,103,273,208,161,125,272)
746        ( 12,180,160,142,257,304,123,185,102, 42)( 13, 46,233, 69,203,210,318,
747         15,197,218)( 14, 37,138, 18, 53,116, 58,112,268,129)( 16,124,214,172,
748         241)( 17, 63,118,191,151)( 19,177, 62, 74,312)( 24,131, 54,292, 28,
749         106,315, 43,232,323)( 26,240, 30,140, 47,143,243,320,284,269)
750        ( 31,301, 66,225,278)( 32, 91,178,285,294)( 34,298,127, 51,119)
751        ( 35,224, 85, 95, 97, 75,215,288, 78,231)( 36,282)( 38,265, 50,207,
752         145,309,213, 59,202,250)( 39,254,287,176,192, 68, 89,147,211, 77)
753        ( 40,163)( 41,262,198, 79,311,148,322, 82,167,204)( 44,308,183,217,
754          71,321,170,229,113,168)( 48,107,157,310, 84, 90, 49,281,222,296)
755        ( 52,248,238,244,299)( 55,216,289,189,184, 72,305,295,186,226)
756        ( 56, 61, 81,144, 96,111,317,242,261,239)( 60,325,302,114,139,245,234,
757         201,253, 67)( 86,209,255,166,251,306,141,171,190,182)
758        ( 88,237,219,194,108)( 93,277,133,266,256)(100,314,150,258,275,303,
759         115,165,205,146)(105,195,290,236,252)(109,291,153,259,181)(110,249)
760        (117,154,307,279,200,164,128,263,126,169)(175,228)(193,206) ] ],
761[ 3, 1018368000, 1, "2", [ [ 68, 1 ], [ 256, 1 ] ], 1, "PSU(4, 4)",
762  [ "2A", [ 3, 4 ], 1 ],
763  [ (  1,305,117, 60, 71,201,149,281, 21,112,203, 61, 24,107,132,116,187,169,
764         237,223)(  2,  8,164, 70, 67, 59, 44, 17,166,230,115,  7, 53,215,250,
765         155,119,143,110,157)(  3,183, 97,190, 31, 77,314,163,131,114,225,214,
766         93,295,309,306,236,291,217, 58)(  4,226,280, 84,202,137,204,286,240,
767         310,171,193, 75,266,135,289,173,254,218, 18)(  5,290,221, 30,238,161,
768         194,118,104,125,199, 51, 10,184, 45,148,287,231,245,106)
769        (  6,276,264, 54,209,176,283,313, 35, 94,136,219,128,274,243, 25,297,
770         272, 87,265)(  9,206, 48,255,156, 52,232,324,153, 14, 85,299,111,284,
771         79,100,210,189,256,285)( 11,182,150, 74,304, 50,228,165,207,142, 47,
772         147,251,205,213,321, 69,158,101,151)( 12,220, 66, 16,180,121,208,296,
773         175,258,134,192, 73,124,262,244,113, 64, 28, 57)( 13,154, 15,308,315,
774         40,129,263,145,302,322,179,211,212, 65, 95,133,224, 56,282)
775        ( 19,300,102, 98,288,242,249,307,168, 27,277,279,323,269, 89,195,178,
776         320,319, 37)( 20,186,325,167, 91,174,293,188,273,239,120,196,130,177,
777         216,260,235, 78,252,109)( 22, 41,270,139,170, 55, 62, 29,267,141,152,
778         227,257,259, 86,105,181, 92,268,222)( 23, 96,311, 36,172, 32, 81,261,
779         146,241, 99,292, 26,247, 49, 72,318,108, 33, 88)( 34,138,200,301,233,
780         68, 39,123,294,271,140, 63,122,246,197,127,198,126,248, 76)
781        ( 38, 42, 80,185,303,275,312,159,316,234,191, 46,103, 90, 43,317,144,
782         278,229,160)( 82,162,253, 83,298),
783      (  1,  6,224,230,296, 34, 61,233,117, 26,270,126,179, 49,132,110,197,
784         282,311,231,209,153, 39,309,212,217, 27,221,281, 62,288,148,320,246,
785         307,310,201,166,177,257,106, 74, 52, 78,100,112,113,249,290, 57,165)
786        (  2,155,259,251, 87,216,277,324,286, 12, 82,274,314, 45, 88,229,265,
787         239,317,125,130,264,220,172,302, 44,  3,297, 60,323, 90,214,129,138,
788          10,111, 86,218,136,247,  8,232,263, 99,279,294,227,291,205,266,187)
789        (  4, 97,228,321, 32, 29, 79,236,182, 70,162, 41,144, 35,293,191,170,
790         289, 92,284,253,120,268,196,193,312, 58, 54, 77,273,234, 64,118,173,
791         198,150, 91,107,121,190, 42,260,151, 65, 30,103,105,157,108,305,256)
792        (  5,203,127,171,322, 20,295,124, 11,200,245, 25,192, 83, 22,250,164,
793         189, 43,242,142,215,149,160,241,131, 48, 56,272,208,248, 72,134,278,
794          37,195, 93, 59,141,313,269,252, 16,158, 84,194,114,319, 89,222, 63)
795        (  7,139, 24,154,152,183,115,116,210, 96,133, 85, 68,304,186, 50,298,
796         287,143,122,135, 80,137, 55,119, 98,325, 13,159, 18,163,255,168, 73,
797         219, 31,275,225,102,308, 81,235,199,258,145, 94,128,146, 36,184, 15)
798        (  9,262, 40,316,174,109,223,123, 23,207,238,271, 19,204,254,240, 67,
799         101,104,306,156,280,301,299,185,180,178, 38,181, 95, 33,206,188, 21,
800         226, 69, 53, 28,176,318, 17,261,202,285,213,175,276, 71,161,292, 46)
801        ( 14,303, 51,237,300, 66, 75,169, 47, 76,244,140,147,167,267,243,315)
802     ] ],
803[ 4, 2036736000, 0, "2", [ [ 68, 1 ], [ 256, 1 ] ], 1, "PSU(4, 4).2",
804  [ "2A", [ 3, 4 ], 1 ],
805  [ (  1, 55, 61,118, 40,131,176,119, 25,288,280, 72, 98, 32,240,  7,231,301,
806         243,308,224, 54,117, 99,300,178, 52,187, 92,281,218,175,177,254,313,
807          90,153, 53, 11, 65, 69,129,253,133, 33, 26,290,265, 96,137,272,104,
808         167,201,217,169,309,149, 12,297,219, 23, 78,  9,263)(  2, 67,303,257,
809         235, 35, 87,124,245,125,161,325,211,140,202, 70,282,273,289,150,287,
810         194,163,185,179,186,239,135, 34,101,130,145,190,286,199,204,173,155,
811         255, 10,250,108,247, 20,138,292, 42,221,321,191,132,237,283, 82,249,
812         143, 91, 38, 50, 43, 45,256, 66,260, 36)(  3,279,276,264,212, 47,123,
813         37,306,168,261, 49,127, 27,166,206, 64,136, 16,269,293, 14,200,184,
814         215,258,183,234,315,120, 85,197, 46,266,162,312,238,233,274,174,311,
815         160, 13,316,109,172,122,285, 59, 44,  5,  6,296, 68, 48,241,299, 30,
816         115,236, 77, 88,126, 51,203)(  4, 17,105, 73,106,181, 93,152,156, 24,
817         141,223,275,195,244, 29,251, 56, 76, 83, 86,148,291, 31,193,242,192,
818         189,222,188,307,107, 97, 62,295, 63,209, 21,259,116,180,139,320,147,
819         284,210,268, 75,157,277,151, 95,  8,142,227,230, 89,262,232,270,182,
820          79,171,267, 28)( 15,228,113,170,214,213, 74,111, 58,112,314,310,102,
821         121,305,225,158,252, 94, 39,134, 84,302,318,220,278, 22, 19,216,159,
822         248,229,298, 57,294, 80, 71, 41, 60,103,317,114,196,144,100,198,164,
823         154,165,128,246,226,323, 18,319,324, 81,110,205,304,322,271,208,146,
824         207), (  1,168,161, 49,223,262,127, 69,279,  8,278,101,111,325,  5,
825         264, 66,112,280,231, 58, 37,180,248,207,193,120,171,128,234)
826        (  2,319,116, 76,300,131,258, 55,143,150,155,164,104,165,236,142,294,
827         169,255, 73,214, 18,140,167,209,198, 22,220, 88, 19)(  3, 91,117, 31,
828         44, 16,139,312,158, 42, 90, 34,301,215,233, 28,134,257,235,132,246,
829         119,124,105,229, 64,241,197,175,144)(  4, 93, 89, 48,211,272, 52,157,
830         121, 83,292, 85,122,189,321)(  6,187, 61,181,110,285,188, 67,205,228,
831         283,305, 10,153,306,268, 25,118,114,302, 41,242,322,318, 62, 54,148,
832         289, 33,178)(  7, 20,237, 95,253, 82, 29,191,130,203,240,173,308,222,
833         80,102,323,154, 72, 60,107, 26,286,190,295, 35,213,147, 56,287)
834        (  9,200,269,126,254, 87,123,196,137, 74,263,247,103,179, 36,174,100,
835         230, 71,177, 57,259, 12, 81,221,309, 70,277,245,225)( 11, 77,184,303,
836         202, 65,324,251,152,313,106, 86,219, 30,195,109, 40,298, 96,216, 23,
837         307, 27, 75,138,290,293,244,162, 92)( 13,270,265, 51, 94,208, 14,136,
838         206,210, 99,232, 24,256,275)( 15,192,261,194,217,243,170,249, 78,135,
839         53,115,218,266, 17, 50, 21, 45,314,151, 68,224, 32,311,186,172,183,
840         310,156, 38)( 39, 59,315, 98,304,176, 63,113,252,299,320,282,141,260,
841         125)( 43,250,146,276,267,182,145,291,166,273,149,129,204,212,227)
842        ( 46,288,226,159,281,284,160,199, 97,185, 79, 47,317,239,238)
843        ( 84,316,271,297,133)(108,163,274,201,296) ] ],
844[ 5, 4073472000, 0, "2", [ [ 68, 1 ], [ 256, 1 ] ], 1, "PSU(4, 4).4",
845  [ "2A", [ 3, 4 ], 1 ],
846  [ (  1, 70,123,254, 36,166, 58,235, 18,189,149,152)(  2,243,214, 90)
847        (  3, 17,172)(  4, 61,148, 85, 16,289,184,154, 20, 37, 81,105)
848        (  5,306,293,132,230, 68,284, 62,  9,186,304,176)(  6,204, 64,271, 15,
849         309)(  7,115,198,207,142,168,106, 48,197,188, 83,144)
850        (  8, 40,128, 14,158,178)( 10,325,183, 45,118, 79, 47, 23,107, 87,272,
851         25)( 11,225,195,318,222,159, 73,150,313,212,296,161)( 12,233,135,237,
852         316, 57)( 13, 80, 65,320,127,119,261, 28,121, 69, 33,282)
853        ( 19,104, 38,175, 71, 34,170,226,181,260, 53,182)( 21,303,206,310,294,
854         273,268,220,228,213,147,246)( 22, 94,155, 46,120,302,322, 91,274,173,
855         116,216)( 24,249,305,137,202,281)( 26,215, 74, 95,151,240,223, 27,
856         248,190,162,134)( 29,125, 86, 39,279, 82)( 30,256)( 31,267,321)
857        ( 32,124, 76,290, 72,286,307,257,227, 43,299,244)( 35, 84,130,295,194,
858         218)( 41, 42)( 44, 54, 50,323,311,255,265,241,165,129,193,203)
859        ( 49,231,157,269, 98,270,139,208,126,196,164,308)( 51,232,109, 75, 60,
860         285,138,247, 59,229,111,177)( 52,169, 63,224, 88,117,217,136,192,210,
861         239,211)( 55,300, 92,179,259,262)( 56,140,258,253,291,245,103,205,
862         288,122,264,112)( 66,266,113,315,263,110,317,314,242,324,187,108)
863        ( 67,101, 93,312,219,131)( 77,199,275,143,201,191,234,114,221,180,278,
864         160)( 78,163,185, 89,319,153)( 96,100,283)( 97,298,287,200)
865        ( 99,277,238)(102,167,280,301,297,292)(133,209,252,250,171,276)
866        (145,156,174,146), (  1,181,117,307,127,177,111,311,312,  7,323,207,
867         240, 47,198,119,266,  5, 40,132,184,258,100,271, 87,118,196,146,185,
868         303,280,259,289,182, 82,291,149,130,  6,315,143, 73,265,252, 42,322,
869          27,222, 85,208,152)(  2,126,282, 66,316,136,281,324,320,219,106,147,
870         20, 24,105,123,226,193,101,298,166,121,251,313,269,268, 88,285,227,
871          21, 51,176, 34, 99, 28,217, 68, 18,261,162, 59,297,283,169,158,250,
872         233,278, 79,228, 74)(  3, 22, 11, 10,224, 76,156, 96,183,239,191,103,
873         69, 17,245,288,276,173, 38,235,309,236,125,178, 50,202, 91,172,112,
874         293,164, 41, 86, 46,142,135, 80, 32,308,270, 33,160, 61,204,221, 12,
875         301, 81,290,129,109)(  4,  9, 43,294, 37, 36, 14,201,134, 44, 57,165,
876         133,264,231,170,317,179,171,190,210, 60,318,213, 39, 53, 55,195,260,
877         151,188, 25,255,206,296,148, 29,295,292, 77, 13, 23,286, 58, 83,141,
878          94,267,200, 19,314)(  8,107,138,110,256,186,284,163,232, 70, 78, 95,
879         197,120,157,116,287,154,209,247,211, 52,108,137,275,300, 45,310, 64,
880         194, 71, 35,220, 31, 16, 98,131,234,104,212,272,175,325,214, 97, 56,
881         180,215,248,244, 65)( 15,304,145,249,153,242,273,262,230, 54,187,174,
882         128,216,139,155, 48,279, 90, 62,102,167,150,205, 67, 26,168, 49, 75,
883          92,114,299,122,246, 30,254,229, 89,238,302,124, 84,243,253,159, 63,
884         218,113,161,144,257)( 72,306, 93,225,263,241,140,321,223,192,277,305,
885         199,115,237,189,274) ] ],
886[ 6, 7800, 1, "2", [ [ 6, 2 ], [ 12, 10 ], [ 24, 8 ] ], 1, "PSL(2, 5^2)",
887  [ "L", [ 2, 25 ], 1 ],
888  [ (  1, 90)(  2, 66)(  3,237)(  4,305)(  5,246)(  6,159)(  7, 46)(  8, 16)
889        (  9, 85)( 10, 25)( 11, 97)( 12,195)( 13,319)( 14,267)( 15,245)
890        ( 17,281)( 18, 78)( 19,147)( 20, 68)( 21,238)( 22,140)( 23,188)
891        ( 24,313)( 26,106)( 27,213)( 28,102)( 29,282)( 30,318)( 31, 65)
892        ( 32,150)( 33,146)( 35,135)( 36, 54)( 37,292)( 38,198)( 39,314)
893        ( 40,252)( 41,299)( 42,220)( 43,118)( 44,288)( 45,261)( 47, 86)
894        ( 48, 99)( 49, 88)( 50,205)( 51, 62)( 52,142)( 53,128)( 55,250)
895        ( 56,113)( 57,320)( 58,136)( 59,287)( 60,253)( 61,303)( 63,100)
896        ( 64,131)( 67,291)( 69,248)( 70,312)( 71,139)( 72,265)( 73,251)
897        ( 74,129)( 75,310)( 76,108)( 77,311)( 79,202)( 80, 98)( 81,293)
898        ( 82,125)( 83,115)( 84,182)( 87,215)( 89,264)( 91,258)( 92,259)
899        ( 93,168)( 94,323)( 95,289)(101,211)(103,231)(104,145)(105,242)
900        (107,165)(109,285)(110,153)(111,226)(112,236)(116,160)(117,196)
901        (119,176)(121,256)(122,210)(123,124)(126,189)(127,175)(132,157)
902        (133,316)(134,268)(137,178)(138,144)(141,273)(143,297)(148,152)
903        (149,272)(151,232)(154,171)(155,309)(156,164)(158,223)(161,271)
904        (162,270)(163,166)(167,301)(169,317)(170,254)(172,284)(173,296)
905        (174,249)(177,315)(179,294)(180,192)(181,306)(184,200)(191,234)
906        (193,279)(194,228)(197,308)(199,298)(201,274)(203,278)(204,283)
907        (206,207)(208,322)(209,269)(212,295)(214,304)(216,243)(217,247)
908        (218,300)(219,260)(221,222)(225,275)(227,239)(229,286)(230,255)
909        (233,244)(235,257)(240,290)(262,325)(266,280)(276,277)(302,324)
910        (307,321), (  1,279, 42, 24,303)(  2, 80,161,107,321)(  3, 52,106,125,
911         218)(  4,115,128,276,  9)(  5,283, 44,248,177)(  6,216, 30, 57, 62)
912        (  7,195,236, 71,136)(  8,271,170,299, 45)( 10, 11,180,113, 75)
913        ( 12,146,256, 51, 21)( 13,307,278,163,226)( 14,257, 17, 37,103)
914        ( 15,285, 91,275,153)( 16,295,183,137,308)( 18,194,201, 53, 84)
915        ( 19, 41, 67,311,126)( 20,139, 28,169,185)( 22,102, 66,197,109)
916        ( 23,300,143,251,132)( 25,249, 68,230,222)( 26, 69, 97,240,141)
917        ( 27, 76,239,284, 36)( 29,267,313,176,186)( 31, 87,199,112,114)
918        ( 32,120,110, 60,105)( 33, 48,212,188,282)( 34, 54,190, 40,243)
919        ( 35,318,215,119,118)( 38,135, 56, 73, 88)( 39,261, 92,150,100)
920        ( 43,182,272,245,265)( 46,223,231,133,233)( 47,269,219,250,178)
921        ( 49,324,213,281,253)( 50,101,232,111,205)( 55, 61,181,277,237)
922        ( 58,165,262,211,198)( 59,254,207,221,224)( 63,134,196,227,280)
923        ( 64,144,200,298,229)( 65,217,235,203,206)( 70,241, 89, 74, 82)
924        ( 72,259,296,168,138)( 77,292,270,315,220)( 78,268,157,304,293)
925        ( 79,131,166,208,306)( 81,127,154,316,155)( 83,286,252,104,167)
926        ( 85,309,164,140,310)( 86,291,151,156, 99)( 90,225,210,108,312)
927        ( 93, 94,294,152,193)( 95,148,287,274,162)( 96,117,142,121,191)
928        ( 98,264,173,149,234)(116,130,289,266,319)(122,123,263,246,325)
929        (124,171,179,317,228)(129,209,247,288,301)(145,258,314,159,255)
930        (147,202,192,290,174)(158,260,187,184,214)(160,175,273,238,302)
931        (172,204,322,242,244)(189,297,323,320,305) ] ],
932[ 7, 15600, 0, "2", [ [ 12, 1 ], [ 24, 5 ], [ 48, 4 ] ], 1, "PSL(2, 5^2).2",
933  [ "L", [ 2, 25 ], 1 ],
934  [ (  1,222)(  2,246)(  3,122)(  4,308)(  5, 31)(  6,237)(  7, 58)(  8,282)
935        (  9,300)( 10, 46)( 11, 32)( 12,198)( 13,273)( 14,254)( 15,185)
936        ( 16,199)( 17,147)( 18,146)( 19,190)( 20,156)( 21,132)( 22,196)
937        ( 23,116)( 24,264)( 25,322)( 26,221)( 27,220)( 28,149)( 29,165)
938        ( 30, 93)( 33,189)( 34,249)( 35,256)( 36,257)( 38, 60)( 39,298)
939        ( 40,314)( 41,212)( 42,167)( 43,293)( 44,269)( 45,130)( 47,315)
940        ( 48,292)( 49, 51)( 50,121)( 52,260)( 53,153)( 54, 99)( 55,104)
941        ( 56,309)( 57,102)( 59,255)( 61,274)( 62, 85)( 63, 84)( 64,218)
942        ( 65,152)( 66,294)( 67,229)( 68,231)( 69, 95)( 71,259)( 72,280)
943        ( 74,162)( 75,139)( 76,206)( 77,228)( 78,200)( 79,262)( 80,288)
944        ( 82, 86)( 83,291)( 87,163)( 88,182)( 89,267)( 90,107)( 91,174)
945        ( 92, 97)( 94,191)( 96,318)( 98,108)(100,304)(101,268)(103,201)
946        (106,301)(109,151)(110,238)(111,168)(112,289)(113,316)(114,209)
947        (115,317)(117,226)(118,143)(119,138)(120,266)(123,213)(124,252)
948        (125,178)(126,281)(127,134)(128,245)(129,284)(131,197)(133,265)
949        (135,297)(136,242)(137,159)(140,296)(141,227)(142,234)(144,175)
950        (145,235)(148,247)(150,195)(154,214)(155,251)(157,192)(158,243)
951        (160,285)(161,241)(164,290)(166,216)(169,324)(170,303)(171,202)
952        (172,271)(176,310)(177,217)(179,210)(181,188)(183,286)(186,233)
953        (187,205)(193,219)(194,295)(203,263)(204,248)(207,321)(208,261)
954        (211,253)(215,320)(223,225)(224,250)(230,270)(232,272)(236,244)
955        (239,313)(240,319)(258,299)(275,306)(277,302)(278,279)(283,312)
956        (305,325), (  1,184,185,209)(  2, 48,194,193)(  3,276,315,301)
957        (  4,134,212,  9)(  5,117, 12,257)(  6, 11,322, 17)(  7, 34,205,206)
958        (  8, 40)( 10,164,171,181)( 14,300,222,274)( 15,292,140,186)
959        ( 16,298,207,242)( 18,323,141, 77)( 19, 28,216,241)( 20,223,299,125)
960        ( 21,119,126, 89)( 22,236, 32,163)( 23, 84,239,108)( 24,137,256,109)
961        ( 25,319,227,288)( 26,263,161,269)( 27,197,201,303)( 29,139, 49, 79)
962        ( 30,230,289,291)( 31,280,106,279)( 33,224,318, 74)( 35, 97, 46, 91)
963        ( 36,149,158,174)( 37,173,247, 66)( 38,198,150,320)( 39,225, 93,105)
964        ( 41,159,195, 99)( 42,208,190,266)( 43,240, 73,270)( 44,261,183,286)
965        ( 45, 67,111,187)( 47,129,281,122)( 50, 98,268,258)( 51,321,235,152)
966        ( 52, 69,132,228)( 53,146,104, 83)( 54, 57,211,245)( 55,151,199,307)
967        ( 56,100)( 58,308, 68,306)( 59,123, 63,251)( 60,178,297,196)
968        ( 61,167,179, 70)( 62, 76,285,267)( 64,118,273,295)( 65,133,143,296)
969        ( 71, 85,131,135)( 72,275, 96,203)( 75, 95,317,127)( 78,191,202, 90)
970        ( 80,253, 86,271)( 81,312,103,162)( 82,290,155,277)( 87,252,165,102)
971        ( 88,305,144,124)( 92,324,142,112)( 94,313,237,302)(101,153,309,169)
972        (107,215,213,218)(110,316,293,248)(113,154,116,219)(114,249,145,229)
973        (115,238,175,259)(120,250,160,278)(121,272,166,226)(128,200)
974        (130,233,287,220)(136,325,246,168)(138,314,243,172)(147,232,282,176)
975        (148,182,264,192)(156,262,294,283)(157,311,189,254)(170,180,177,221)
976        (188,304,260,265)(204,231,284,310)(210,217)(214,234)(244,255) ] ],
977[ 8, 15600, 0, "2", [ [ 6, 2 ], [ 24, 4 ], [ 12, 6 ], [ 48, 3 ] ], 1,
978  "PSL(2, 5^2).2", [ "L", [ 2, 25 ], 1 ],
979  [ (  1,184,222, 79,  3,261,303,323,170,208,122,262)(  2,214, 57,135,106,307,
980         301,297,102,154,246,173)(  4,  6,315, 17, 13,256,115,109,145,103,149,
981         268)(  5, 84,212, 72,179,229,283,290,190,296, 16,281)
982        (  7,265,228,172,221,192,195, 23,137,322,239, 18)(  8,316,257,211,161,
983         9,249, 38, 14, 39,247,128)( 10, 40,291, 95, 49,160,120, 48, 55, 89,
984         200,185)( 11,206,143,287,118, 76, 32,250,272, 70,232,224)
985        ( 12,260,299,258, 52,198,304,305,230,270,325,100)( 15, 78,267,104,292,
986         266,285, 51, 69, 83,314, 46)( 19,164,312, 67,210,280, 41, 63, 31,126,
987         199,140)( 20,193,219,156, 96, 50,302,152, 65,277,121,318)
988        ( 21,189, 30,255,123,226,293,158, 66,220,218,234)( 22, 56,223, 98,209,
989         176, 62,127,289,163,107,141)( 24,240,216,131,233,278,279,186,197,166,
990         319,264)( 25,159,116,150,157, 26,271, 77,133, 58,146,313)
991        ( 27,294,243, 43,117,213, 59, 93, 33,132,142, 64)( 28,201,235,151,317,
992         35,273,147, 47,237,308,101)( 29, 45, 73,130,165,288, 97, 68, 81,231,
993          92, 80)( 34,300,241,253, 36,113,282,245,148,298,254, 60)
994        ( 37,275, 42,276,167,306)( 44,180,269,138,162,111,177,105,217,168, 74,
995         119)( 53,178,251,124,205,284,174,203,182,183,215,207)
996        ( 54,181,171,324,169,202,188, 99,295,144,175,194)( 61,274,244,139,110,
997         136, 86, 82,242,238, 75,236)( 71,259,191,204,248, 94)
998        ( 85,310,114,108,225,309,196,227, 90, 87,112,134)( 88,263, 91,129,187,
999         252,155,125,153,321,320,286), (  1,306)(  2,229)(  3,224)(  4, 47)
1000        (  5,138)(  6,196)(  7,139)(  8,323)(  9,103)( 10,215)( 11,115)
1001        ( 12,236)( 13,290)( 14,148)( 15, 89)( 16,319)( 17, 50)( 18,108)
1002        ( 19,283)( 20, 51)( 21,169)( 22,243)( 23,165)( 24, 79)( 25, 92)
1003        ( 26,114)( 27,305)( 28,191)( 29,141)( 31,264)( 32, 95)( 33, 38)
1004        ( 34,233)( 35, 65)( 36,261)( 37, 74)( 39, 58)( 40, 63)( 41,168)
1005        ( 43,297)( 44,311)( 48,130)( 49,209)( 52,320)( 53,313)( 54, 81)
1006        ( 55,159)( 56,133)( 57,308)( 59,251)( 60,101)( 61,258)( 62, 88)
1007        ( 64, 87)( 66,127)( 67,259)( 68,272)( 69,281)( 70,250)( 71,160)
1008        ( 72,248)( 73,309)( 75,104)( 76,170)( 77,242)( 78,195)( 80,267)
1009        ( 82,113)( 83,153)( 84,288)( 85,266)( 90,253)( 91,318)( 93,181)
1010        ( 94,292)( 97,202)( 98,194)( 99,172)(100,182)(102,164)(105,252)
1011        (107,147)(110,128)(111,178)(112,174)(117,302)(118,235)(119,257)
1012        (120,274)(121,304)(123,214)(124,197)(125,262)(129,240)(131,279)
1013        (132,271)(134,295)(135,171)(137,155)(140,317)(142,256)(143,246)
1014        (144,176)(145,204)(149,301)(150,325)(151,220)(152,255)(154,227)
1015        (156,270)(157,175)(158,230)(161,278)(162,217)(163,173)(166,208)
1016        (167,269)(179,183)(180,241)(184,207)(185,273)(186,210)(187,189)
1017        (188,310)(190,282)(193,291)(198,221)(199,247)(203,286)(205,219)
1018        (206,276)(211,299)(212,216)(218,265)(223,228)(225,226)(231,280)
1019        (232,285)(234,298)(237,244)(238,268)(239,245)(249,254)(260,300)
1020        (263,284)(275,287)(289,316)(307,324)(312,321)(314,315) ] ],
1021[ 9, 15600, 0, "2", [ [ 24, 11 ], [ 12, 1 ], [ 48, 1 ] ], 1, "PSL(2, 5^2).2",
1022  [ "L", [ 2, 25 ], 1 ],
1023  [ (  1,106)(  3,148)(  4, 64)(  5,294)(  6,217)(  7,307)(  8,213)( 10,321)
1024        ( 11, 12)( 13,164)( 14,170)( 15,236)( 16,282)( 17,161)( 18,284)
1025        ( 19,172)( 20,141)( 21, 70)( 22,145)( 23,223)( 24,201)( 25,114)
1026        ( 26,123)( 27,301)( 28,225)( 29,220)( 30, 36)( 31,247)( 32,127)
1027        ( 33,271)( 34, 35)( 37,196)( 38, 92)( 39, 40)( 41,293)( 43,228)
1028        ( 44, 45)( 46,269)( 47, 66)( 48,140)( 49,131)( 50,212)( 51,171)
1029        ( 52,280)( 53,204)( 54,173)( 55,117)( 56,323)( 57,158)( 58,288)
1030        ( 59,189)( 61, 89)( 62,218)( 63,305)( 65,210)( 67,286)( 68,303)
1031        ( 69,245)( 71,253)( 72,203)( 73,142)( 74,200)( 75,101)( 76,105)
1032        ( 77,135)( 78,255)( 79, 85)( 80,130)( 81,295)( 82,179)( 83,183)
1033        ( 84,100)( 86,125)( 87,232)( 88,214)( 90,314)( 91,205)( 93,250)
1034        ( 94,316)( 95,192)( 96,235)( 97,144)( 98,242)( 99,168)(103,274)
1035        (104,318)(107,167)(108,261)(109,166)(110,312)(111,224)(112,132)
1036        (113,278)(115,277)(116,285)(118,258)(119,259)(120,219)(121,249)
1037        (122,178)(124,199)(126,241)(128,233)(129,190)(133,263)(134,176)
1038        (136,207)(137,315)(138,175)(139,310)(143,311)(146,287)(147,162)
1039        (149,320)(151,188)(153,186)(154,202)(155,191)(156,254)(157,283)
1040        (159,237)(160,243)(165,298)(169,276)(174,297)(177,246)(180,248)
1041        (181,275)(182,308)(184,270)(185,289)(187,299)(193,309)(194,256)
1042        (195,268)(198,211)(206,322)(208,209)(215,216)(222,252)(226,292)
1043        (229,317)(230,281)(231,239)(234,265)(238,244)(251,260)(257,296)
1044        (262,304)(264,319)(266,279)(267,290)(272,306)(273,313)(291,324)
1045        (300,325), (  1,130,237,291, 57)(  2,265, 37, 23,301)(  3, 10,254,112,
1046         64)(  4,210, 86,226,287)(  5,223,290,281, 22)(  6,128, 71,  9,109)
1047        (  7, 24,117,298, 53)(  8,152,242,125, 19)( 11,139,103, 30,164)
1048        ( 12,108, 87,304,306)( 13,204,149,257, 14)( 15,206, 26,277, 31)
1049        ( 16, 98,176,212, 72)( 17,238, 32, 63, 66)( 18, 90,284,101,170)
1050        ( 20,104,133,140,118)( 21, 82,188, 88,119)( 25, 78,168,256,123)
1051        ( 27, 73,275, 81, 59)( 28,307, 97,160, 79)( 29,173,273,208,185)
1052        ( 33,245,184,227, 89)( 34,172, 93,124,131)( 35,207,114,192,222)
1053        ( 36,120,122,213,225)( 38,180,146, 65,171)( 39,187, 96,126,136)
1054        ( 40,230,297,216,113)( 41,263,244,193,249)( 42,196,270,258, 85)
1055        ( 43,167,132,288, 80)( 44,158,292,145,150)( 45,178,305,186,201)
1056        ( 46,153,191, 91,266)( 47,309,261,251,137)( 48, 60,197,214,299)
1057        ( 49,246,148,100,278)( 50, 74,194, 77,161)( 51,271,218,268,138)
1058        ( 52, 92,233,215,308)( 54,274,293,111,155)( 55,151,231,303,102)
1059        ( 56,311,127,209,107)( 58,315,314,189,177)( 61,199,115, 70,234)
1060        ( 62,229, 84,289,283)( 67,121,320,211,236)( 68,147,240,260,203)
1061        ( 69,286,252,267, 94)( 75,129,255,144,269)( 76,259,224, 99,181)
1062        ( 83,302,232,280,116)( 95,310,323,300,243)(105,316,295,219,157)
1063        (106,200,264,198,241)(110,217,324,220,321)(134,235,228,182,262)
1064        (135,276,154,221,239)(141,163,179,296,190)(142,279,195,174,253)
1065        (143,169,248,175,272)(156,313,250,285,312)(159,202,162,318,247)
1066        (165,325,317,205,319)(166,183,294,322,282) ] ],
1067[ 10, 31200, 0, "2", [ [ 12, 1 ], [ 24, 3 ], [ 48, 5 ] ], 1,
1068  "PGammaL(2, 5^2)", [ "L", [ 2, 25 ], 1 ],
1069  [ (  1,123)(  3,152)(  4,236)(  5,103)(  6, 14)(  7,318)(  8,140)(  9,241)
1070        ( 10, 22)( 11,225)( 12, 56)( 13,216)( 15,227)( 16,245)( 18,125)
1071        ( 19, 66)( 20,120)( 21,110)( 23, 57)( 24, 82)( 26,179)( 28,135)
1072        ( 29, 44)( 31,156)( 32,207)( 34, 38)( 35,289)( 36,112)( 37, 55)
1073        ( 39, 70)( 40,205)( 41,116)( 42,108)( 43,256)( 45,215)( 46,252)
1074        ( 48,106)( 49, 69)( 50,146)( 51,265)( 52,178)( 53, 93)( 54,131)
1075        ( 58,160)( 59, 79)( 60,308)( 61,184)( 62,238)( 63, 64)( 65,279)
1076        ( 67, 89)( 68,317)( 71,100)( 72,137)( 73,185)( 74,174)( 75,142)
1077        ( 76, 99)( 77,119)( 78,130)( 81,189)( 84,193)( 85,127)( 86,199)
1078        ( 88,183)( 90,118)( 91,203)( 92,109)( 94,264)( 96,285)( 98,250)
1079        (101,139)(102,268)(104,283)(105,247)(111,129)(113,246)(114,284)
1080        (115,134)(117,157)(121,309)(122,229)(124,324)(126,235)(128,325)
1081        (132,231)(136,310)(138,288)(141,287)(143,181)(144,316)(145,314)
1082        (147,319)(148,230)(149,201)(150,154)(151,291)(153,299)(155,202)
1083        (158,273)(159,161)(162,172)(163,211)(164,263)(165,286)(166,295)
1084        (167,237)(168,301)(169,259)(170,290)(176,187)(177,307)(180,220)
1085        (182,190)(186,278)(191,305)(192,280)(194,282)(195,293)(196,304)
1086        (197,200)(198,260)(204,240)(206,320)(208,221)(209,306)(210,261)
1087        (212,234)(213,249)(214,257)(217,298)(222,244)(223,302)(224,272)
1088        (226,300)(232,254)(233,267)(242,281)(243,296)(251,313)(253,322)
1089        (255,321)(262,277)(266,297)(269,294)(270,311)(271,303)(275,292)
1090        (276,315)(312,323), (  1,192,178,179)(  2, 33,208,303)(  3, 43,200,282
1091         )(  4,247, 71, 28)(  5,274)(  6, 57, 93, 56)(  7, 67,265,107)
1092        (  8,187, 74,114)(  9,235)( 10,293, 31,286)( 11, 84,255,298)
1093        ( 12,154,312,204)( 13, 39, 37,151)( 14, 22,121,135)( 15,105,268,156)
1094        ( 16, 38,129,198)( 17,238, 27, 19)( 18, 73,111,249)( 20,219,220,248)
1095        ( 21,150,147,304)( 23,277,264,233)( 24,280, 95, 26)( 25,297, 65,284)
1096        ( 29, 70,118,195)( 30,317,221,131)( 32,253,214,307)( 34,163,224, 54)
1097        ( 35,199,140,182)( 36,210,166,122)( 40, 91,288,258)( 41,294,287,180)
1098        ( 42,231, 68,189)( 44,120,252, 96)( 45,124,157,110)( 46,160, 72, 50)
1099        ( 47,168,218,159)( 48,123,176,153)( 49,313,272,289)( 51,234,315,311)
1100        ( 52, 81, 79,229)( 53,308, 98,223)( 55, 94,155,323)( 58,177,167, 62)
1101        ( 59,278,299,127)( 60,213,321,281)( 61,259,146,212)( 63, 77,270,191)
1102        ( 64,181,169,236)( 66,101,322, 76)( 69,209,260,109)( 75, 86,216,300)
1103        ( 78,133,226,148)( 80,242,128,164)( 82, 88, 83,149)( 85,246)
1104        ( 87,165,104,291)( 89,254,188,117)( 90,175,137,203)( 92,108,295,211)
1105        ( 97,267,230,256)( 99,227,119,193)(100,136,162,301)(102,314,217,232)
1106        (103,285,126,269)(106,125,266,115)(112,173,306,271)(113,243,320,310)
1107        (116,145,205,215)(130,309,190,250)(132,239,261,279)(134,158,245,197)
1108        (138,244,141,276)(139,292,305,319)(142,172,202,143)(144,196,273,170)
1109        (152,325,316,228)(161,318,296,222)(171,184,283,237)(174,194,251,262)
1110        (183,206)(185,275,263,324)(186,207)(201,257)(225,240,302,290) ] ],
1111[ 11, 201645730563302817792000000, 1, "2", [ [ 276, 1 ], [ 48, 1 ] ], 1,
1112  "Alt(26)", [ "A", 26, 1 ],
1113  [ (  2,  3,  5,  7, 11, 15, 21, 27, 35, 43, 53, 63, 75, 87,101,115,131,147,
1114         165,183,203,223,245,267)(  4,  6,  9, 12, 17, 22, 29, 36, 45, 54, 65,
1115         76, 89,102,117,132,149,166,185,204,225,246,269,291)(  8, 13, 19, 25,
1116          33, 41, 51, 61, 73, 85, 99,113,129,145,163,181,201,221,243,265,289,
1117         312,268,292)( 10, 14, 20, 26, 34, 42, 52, 62, 74, 86,100,114,130,146,
1118         164,182,202,222,244,266,290,313,325,314)( 16, 23, 31, 39, 49, 59, 71,
1119         83, 97,111,127,143,161,179,199,219,241,263,287,310,224,247,271,294)
1120        ( 18, 24, 32, 40, 50, 60, 72, 84, 98,112,128,144,162,180,200,220,242,
1121         264,288,311,324,270,293,315)( 28, 37, 47, 57, 69, 81, 95,109,125,141,
1122         159,177,197,217,239,261,285,308,184,205,227,249,273,296)
1123        ( 30, 38, 48, 58, 70, 82, 96,110,126,142,160,178,198,218,240,262,286,
1124         309,323,226,248,272,295,316)( 44, 55, 67, 79, 93,107,123,139,157,175,
1125         195,215,237,259,283,306,148,167,187,207,229,251,275,298)
1126        ( 46, 56, 68, 80, 94,108,124,140,158,176,196,216,238,260,284,307,322,
1127         186,206,228,250,274,297,317)( 64, 77, 91,105,121,137,155,173,193,213,
1128         235,257,281,304,116,133,151,169,189,209,231,253,277,300)
1129        ( 66, 78, 92,106,122,138,156,174,194,214,236,258,282,305,321,150,168,
1130         188,208,230,252,276,299,318)( 88,103,119,135,153,171,191,211,233,255,
1131         279,302)( 90,104,120,136,154,172,192,212,234,256,280,303,320,118,134,
1132         152,170,190,210,232,254,278,301,319),
1133      (  1,  2,  4)(  3,  6, 10)(  5,  8,  9)(  7, 12, 18)( 11, 16, 17)
1134        ( 15, 22, 30)( 21, 28, 29)( 27, 36, 46)( 35, 44, 45)( 43, 54, 66)
1135        ( 53, 64, 65)( 63, 76, 90)( 75, 88, 89)( 87,102,118)(101,116,117)
1136        (115,132,150)(131,148,149)(147,166,186)(165,184,185)(183,204,226)
1137        (203,224,225)(223,246,270)(245,268,269)(267,291,314) ] ],
1138[ 12, 403291461126605635584000000, 0, "2", [ [ 276, 1 ], [ 48, 1 ] ], 1,
1139  "Sym(26)", [ "A", 26, 1 ],
1140  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
1141          91,101,111,122,133,145,157,170)(  4,  6,  8, 11, 14, 18, 22, 27, 32,
1142         38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,184,183)
1143        (  9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,
1144         124,135,147,159,172,185,198,197,210)( 16, 20, 24, 29, 34, 40, 46, 53,
1145         60, 68, 76, 85, 94,104,114,125,136,148,160,173,186,199,212,211,224,
1146         237)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,
1147         161,174,187,200,213,226,225,238,251,264)( 36, 42, 48, 55, 62, 70, 78,
1148         87, 96,106,116,127,138,150,162,175,188,201,214,227,240,239,252,265,
1149         278,289)( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,189,
1150         202,215,228,241,254,253,266,279,290,299,307)( 64, 72, 80, 89, 98,108,
1151         118,129,140,152,164,177,190,203,216,229,242,255,268,267,280,291,300,
1152         308,314,319)( 81, 90, 99,109,119,130,141,153,165,178,191,204,217,230,
1153         243,256,269,277,281,292,301,309,315,320,323,325)(100,110,120,131,142,
1154         154,166,179,192,205,218,231,244,257,270,282,250,263,276,288,298,306,
1155         313,318,322,324)(121,132,143,155,167,180,193,206,219,232,245,258,271,
1156         283,293,223,236,249,262,275,287,297,305,312,317,321)(144,156,168,181,
1157         194,207,220,233,246,259,272,284,294,302,196,209,222,235,248,261,274,
1158         286,296,304,311,316)(169,182,195,208,221,234,247,260,273,285,295,303,
1159         310), (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)
1160        ( 72, 81)( 90,100)(110,121)(132,144)(156,169)(170,183)(182,196)
1161        (184,197)(198,211)(209,223)(212,225)(226,239)(236,250)(240,253)
1162        (254,267)(263,277)(268,281) ] ],
1163[13, Factorial(325)/2,1,"2",[[324,1]],323, "Alt(325)", ["A",325, 1], "Alt"],
1164[14, Factorial(325),0,"2",[[324, 1]],325, "Sym(325)", ["A",325, 1], "Sym"]];
1165PRIMGRP[326]:=
1166[[1, Factorial(326)/2,1,"2",[[325,1]],324, "Alt(326)", ["A",326, 1], "Alt"],
1167[2, Factorial(326),0,"2",[[325, 1]],326, "Sym(326)", ["A",326, 1], "Sym"]];
1168PRIMGRP[327]:=
1169[[1, Factorial(327)/2,1,"2",[[326,1]],325, "Alt(327)", ["A",327, 1], "Alt"],
1170[2, Factorial(327),0,"2",[[326, 1]],327, "Sym(327)", ["A",327, 1], "Sym"]];
1171PRIMGRP[328]:=
1172[[1, Factorial(328)/2,1,"2",[[327,1]],326, "Alt(328)", ["A",328, 1], "Alt"],
1173[2, Factorial(328),0,"2",[[327, 1]],328, "Sym(328)", ["A",328, 1], "Sym"]];
1174PRIMGRP[329]:=
1175[[1, Factorial(329)/2,1,"2",[[328,1]],327, "Alt(329)", ["A",329, 1], "Alt"],
1176[2, Factorial(329),0,"2",[[328, 1]],329, "Sym(329)", ["A",329, 1], "Sym"]];
1177PRIMGRP[330]:=
1178[[ 1, 443520, 1, "2", [ [ 112, 1 ], [ 168, 1 ], [ 7, 1 ], [ 42, 1 ] ], 1,
1179  "M_22", [ "Spor", "M(22)", 1 ],
1180  [ (  1, 97)(  2,329)(  3,209)(  4,164)(  5, 30)(  6,119)(  7,178)(  8,160)
1181        (  9,311)( 10, 82)( 11,197)( 12, 15)( 13,307)( 14,132)( 16,163)
1182        ( 17, 67)( 18, 44)( 20, 76)( 21,280)( 22,153)( 23, 47)( 25,264)
1183        ( 26,115)( 27,103)( 28,193)( 29, 75)( 31,292)( 32,143)( 33,184)
1184        ( 35,273)( 36,136)( 37,323)( 38,282)( 39,198)( 40,255)( 41,205)
1185        ( 42,206)( 43,100)( 45,149)( 46,192)( 48,305)( 49,236)( 50,257)
1186        ( 52,265)( 53,295)( 54,128)( 55,146)( 56,181)( 57,195)( 58,297)
1187        ( 59,208)( 60, 78)( 62,106)( 63,247)( 64,268)( 66,240)( 68,228)
1188        ( 69, 89)( 70, 88)( 71, 74)( 72,229)( 77,189)( 79,214)( 80,137)
1189        ( 83,289)( 84, 98)( 85,220)( 87,194)( 90,141)( 92,124)( 93,249)
1190        ( 94,185)( 95,237)( 99,256)(101,172)(102,267)(104,313)(105,177)
1191        (107,207)(108,315)(109,161)(110,271)(111,180)(112,254)(113,114)
1192        (116,320)(117,242)(118,231)(120,262)(121,253)(122,224)(123,279)
1193        (125,190)(126,145)(129,133)(130,211)(131,174)(134,244)(135,215)
1194        (138,241)(140,287)(142,304)(144,219)(147,230)(148,318)(150,291)
1195        (154,300)(155,310)(156,246)(158,196)(159,218)(162,239)(165,285)
1196        (166,317)(167,227)(168,314)(169,203)(170,306)(171,266)(173,277)
1197        (175,299)(176,283)(179,309)(182,327)(186,301)(187,286)(188,263)
1198        (191,250)(200,260)(201,281)(202,221)(204,290)(210,330)(216,321)
1199        (217,235)(222,225)(226,238)(232,328)(233,324)(234,302)(243,296)
1200        (245,326)(248,293)(251,269)(252,275)(258,312)(259,325)(270,272)
1201        (274,278)(276,319)(298,303)(308,316),
1202      (  1,137,243, 28)(  2,180,303, 74)(  3, 16,124, 77)(  4,217, 45,226)
1203        (  5,  7)(  6,281)(  8,143)(  9, 56, 44,270)( 10,158,150, 49)( 11, 23)
1204        ( 12,280,111,284)( 13,317,177,210)( 14,241,103,292)( 15,289,239, 32)
1205        ( 17,242,156,142)( 18,104, 93, 48)( 19, 79)( 20,311,182,175)
1206        ( 21, 25,260,254)( 22,162,122,319)( 24,325,178,251)( 26,184,152,308)
1207        ( 27, 84,116, 42)( 30,265, 34,253)( 31,219,148,204)( 33,323,183,202)
1208        ( 35,185,279,207)( 36,305,131,286)( 37, 75, 60,300)( 38,109,195,224)
1209        ( 39,324,297,221)( 40,145,112,106)( 41,262, 89,259)( 43,138)
1210        ( 46,102,179,227)( 47,273, 51,198)( 50,295, 96,236)( 52,247,125,278)
1211        ( 53,160,167,256)( 54,120,276, 59)( 55,330,320,100)( 57, 68,110,127)
1212        ( 58,114,275,298)( 61,248, 62, 63)( 64,199,192,316)( 65,268,126,329)
1213        ( 66,130,173,135)( 67,307,216,201)( 69,149,328,249)( 70,140,171, 86)
1214        ( 71,321,128,277)( 72, 81)( 73,194,197,108)( 76,186,170,211)
1215        ( 78, 88, 94,157)( 80,304,146,301)( 82,209, 95,288)( 83,147,302,232)
1216        ( 87, 90,294,255)( 91,230,118,235)( 92,310,212,169)( 97,164,263,299)
1217        ( 98,107,188,233)( 99,272,312,283)(101,174,206,136)(113,190,309,271)
1218        (115,261,287,229)(117,133,326,196)(119,245,290,215)(121,285,282,203)
1219        (123,291,134,161)(129,218,267,314)(132,240,193,222)(139,252,214,244)
1220        (141,257,189,231)(151,264,315,163)(153,213,237,266)(154,293,191,155)
1221        (159,223,208,220)(165,172,274,296)(166,258)(168,306,269,181)
1222        (176,322,327,200)(205,225,238,246)(234,318)(250,313) ] ],
1223[ 2, 887040, 0, "2", [ [ 112, 1 ], [ 168, 1 ], [ 7, 1 ], [ 42, 1 ] ], 1,
1224  "M_22.2", [ "Spor", "M(22)", 1 ],
1225  [ (  1,  2)(  3,  5)(  4,  7)(  6, 11)(  8, 16)(  9, 19)( 10, 22)( 12, 26)
1226        ( 13, 28)( 14, 30)( 15, 33)( 17, 35)( 18, 36)( 20, 40)( 21, 42)
1227        ( 24, 47)( 25, 50)( 27, 52)( 29, 56)( 31, 49)( 32, 48)( 34, 62)
1228        ( 37, 67)( 38, 68)( 39, 71)( 41, 74)( 43, 77)( 44, 79)( 45, 81)
1229        ( 46, 84)( 51, 93)( 53, 97)( 54, 98)( 55, 92)( 57,103)( 58,104)
1230        ( 59,107)( 60,109)( 61,110)( 63, 75)( 64, 99)( 65,116)( 66,117)
1231        ( 70,122)( 72,124)( 73,126)( 76,123)( 78,134)( 80,137)( 82,141)
1232        ( 83,142)( 86,148)( 87,133)( 88,101)( 89,152)( 90,153)( 91,155)
1233        ( 94,160)( 95,162)( 96,102)(100,169)(108,179)(111,180)(112,182)
1234        (114,183)(115,184)(118,188)(119,190)(120,191)(121,193)(125,197)
1235        (127,201)(128,192)(129,200)(130,207)(131,178)(132,209)(135,213)
1236        (136,214)(138,217)(139,220)(140,222)(143,226)(144,228)(146,229)
1237        (147,173)(150,231)(151,232)(154,235)(156,237)(157,159)(158,240)
1238        (161,244)(163,185)(164,174)(165,248)(166,250)(167,252)(168,254)
1239        (170,256)(171,257)(172,224)(177,261)(181,247)(186,206)(187,270)
1240        (189,203)(194,260)(195,265)(196,242)(198,205)(199,283)(202,286)
1241        (204,288)(208,211)(210,284)(216,296)(219,282)(221,272)(223,299)
1242        (225,298)(227,269)(230,233)(236,278)(238,305)(239,246)(241,300)
1243        (243,308)(245,309)(251,275)(253,307)(255,279)(258,313)(259,304)
1244        (262,317)(263,291)(264,266)(268,306)(273,323)(274,292)(276,293)
1245        (277,324)(280,301)(285,319)(287,303)(289,325)(294,302)(295,329)
1246        (297,312)(314,327)(315,326)(316,321),
1247      (  1,  3,  6, 12)(  2,  4,  8, 17)(  5,  9, 20, 15)(  7, 14, 31, 60)
1248        ( 10, 23, 45, 82)( 11, 24, 48, 88)( 13, 29, 27, 53)( 16, 34, 63,113)
1249        ( 18, 37)( 19, 38, 69, 25)( 21, 43, 78,135)( 22, 44, 50, 91)
1250        ( 26, 51, 94,161)( 28, 54, 99,167)( 30, 58,105,133)( 32, 41, 75,130)
1251        ( 33, 61)( 35, 65,111,181)( 36, 66,118,189)( 39, 72,125,198)
1252        ( 40, 73,127,202)( 42, 62,112, 55)( 46, 85,146, 97)( 47, 86,149,179)
1253        ( 49, 90,154,236)( 52, 96,156,238)( 56,101)( 59,108,168,248)
1254        ( 64,115,185,268)( 67, 84,144,222)( 68,120,100,170)( 70, 89)
1255        ( 71,103,173,258)( 74,128,204,289)( 76,106,177,192)( 77,132,210,280)
1256        ( 79,131,208,293)( 80,138,218,213)( 81,139,169,140)( 83,143,227,295)
1257        ( 87,151,123,195)( 92,157)( 93,158,225,122)( 95,163,247,237)
1258        ( 98,165,249,302)(102,172,134,212)(104,166,251,246)(107,178,262,318)
1259        (110,137,216,272)(116,186,269,183)(117,187,271,322)(119,150,220,297)
1260        (121,194,279,253)(124,126,199,145)(129,206,291,328)(136,215,147,228)
1261        (141,223,300,319)(142,224,162,245)(148,230,292,231)(152,174,259,315)
1262        (153,233,175,260)(155,164,239,219)(159,242,270,321)(160,243,201,285)
1263        (171,184,266,288)(176,250,193,211)(180,263,235,244)(182,264,305,308)
1264        (188,273,267,217)(190,275,229,261)(191,277,205,290)(196,281,326,329)
1265        (197,282,327,316)(200,284,298,323)(203,287)(207,240,306,330)
1266        (209,254,311,232)(214,294,314,274)(221,255)(226,301)(234,304,296,310)
1267        (241,286)(256,312,283,307)(257,303,299,324)(265,320,317,313)(278,325),
1268      (  5, 10)(  6, 13)(  7, 15)(  8, 18)(  9, 21)( 11, 25)( 12, 27)( 14, 32)
1269        ( 19, 39)( 20, 41)( 23, 46)( 24, 49)( 28, 55)( 29, 57)( 30, 59)
1270        ( 31, 43)( 34, 64)( 38, 70)( 40, 73)( 42, 76)( 44, 80)( 45, 83)
1271        ( 47, 87)( 48, 89)( 50, 92)( 51, 95)( 54,100)( 56,102)( 58,106)
1272        ( 60, 79)( 61,111)( 62,108)( 63,114)( 66,119)( 67,116)( 68,121)
1273        ( 69, 90)( 71,123)( 72, 88)( 74,129)( 75,131)( 77,133)( 78,136)
1274        ( 81,140)( 82,130)( 84,145)( 85,147)( 86,150)( 91,156)( 93,159)
1275        ( 94,109)( 96,164)( 97,135)( 98,166)( 99,168)(101,171)(103,174)
1276        (104,175)(105,176)(107,152)(112,170)(113,115)(117,144)(118,151)
1277        (120,192)(122,165)(124,196)(125,154)(126,200)(127,203)(128,205)
1278        (132,211)(137,160)(138,219)(139,221)(142,225)(143,208)(146,227)
1279        (148,204)(149,173)(153,234)(157,239)(158,241)(161,163)(162,246)
1280        (167,253)(169,255)(172,235)(177,210)(178,195)(179,254)(182,223)
1281        (183,265)(184,267)(186,201)(187,272)(189,274)(190,276)(191,278)
1282        (193,248)(194,280)(197,275)(198,236)(199,243)(202,287)(206,292)
1283        (209,294)(212,273)(215,295)(216,284)(220,259)(222,298)(224,251)
1284        (226,302)(228,293)(230,277)(231,291)(233,303)(240,307)(242,257)
1285        (245,299)(249,310)(250,279)(252,300)(256,309)(258,314)(260,301)
1286        (261,316)(262,311)(263,288)(264,319)(270,304)(281,317)(286,324)
1287        (289,325)(290,328)(296,321)(306,312)(320,323)(322,329) ] ],
1288[ 3, 19958400, 1, "2", [ [ 35, 1 ], [ 126, 1 ], [ 28, 1 ], [ 140, 1 ] ], 1,
1289  "Alt(11)", [ "A", 11, 1 ],
1290  [ (  1,195,172, 64,300,325,  3,278,188, 78,106,247, 54, 69,257,263,144,139,
1291          39,140, 97)(  2,  4,297, 41,169,186,295, 98, 76, 46,223,162,260,133,
1292         305, 60, 95,217,239,193,124)(  5, 38,125,206, 34,134,233, 72,259,158,
1293         62,253,146, 37, 92,234, 71,178,242,309,258)(  6,244, 88,224,200,238,
1294         161,104, 47,117,219,264,147, 12,135,254,181, 36,171,141, 22)
1295        (  7,312,307,105,299,292, 13,198,324,151,306, 61,165, 33,167,155,291,
1296          79,320,275,212)(  8,323, 44,119,311, 80,209,127, 49, 83,317, 59,130,
1297         23,156,321,115, 42,116,160, 30)(  9, 19,145, 15,227,298,153, 26,185,
1298          10,221,159,176,251,211, 14,173,246,131,272,318)( 11,208,109,228, 94,
1299         277,143,231,235,112,274, 66,191,271,203, 20,101,285, 85,255,304)
1300        ( 16,126,163, 63,138,322, 52,174,152,267,183,329, 74,196, 18,214,168,
1301         189, 68,137,190)( 17,241,123,218,262,197,128, 29,148,150, 43,170,201,
1302         120,184,175, 96,230,164,245,100)( 21,113,280,296, 87, 45,110)
1303        ( 24,205,289,310,287,288,301)( 25,330,213,216,114, 57,316)
1304        ( 27,327,269,243,180, 32, 93)( 28,122,222, 50, 89,290, 56,237,149,268,
1305         207, 82, 48,102,210, 99,229,215, 55, 77,136)( 31,204,279, 90, 51, 91,
1306         67)( 35,303,261,302,315, 65, 75)( 40,225,249,314,240,270,103)
1307        ( 53,282,281, 84,294,248,107)( 58, 73,265,286,236,179, 70)
1308        ( 81,111,283,226,199,187,157)( 86,194,250,308,202,273,284,108,232,182,
1309         132,276,313,166,118,256,121,319,293,142,266)(129,328,326,220,192,154,
1310         252), (  1,250,194,262,312,317)(  2,115,248,307,189,315)
1311        (  3,311,223,185, 10,269)(  4,243,  8,254, 93,279)(  5, 21, 66, 12,
1312         134, 47)(  6,289, 75, 45,125,161)(  7,224,120,172, 95,264)
1313        (  9,238,319,297, 41,192)( 11, 36,118,210,292, 19)( 13,211,173,206,
1314          46,271)( 14,147, 96, 97,265,304)( 15,180, 49, 76, 31,182)
1315        ( 16,154,219, 80,266,165)( 17,309,274,136, 30,129)( 18,203,272,160,
1316          28,326)( 20,170,267, 82, 35, 71)( 22,112, 27, 72,233,102)
1317        ( 23,313,221,146, 38, 94)( 24,109,244,110, 37, 85)( 25, 86,201,130,
1318         245,108)( 26,231,255,275, 33,220)( 29,101,234, 56,208,142)( 32, 92)
1319        ( 34,121,184,135,323, 73)( 39,291,247)( 40,156,228,316,260,105)
1320        ( 42,276,188,256,227,222)( 43,127,259, 88,186,119)( 44,215,300, 63,
1321         124, 51)( 48,158,209,159,163, 87)( 50,151,240,295,305,282)
1322        ( 52,198,191)( 53, 91,253,148,168,114)( 54,202,225,324,329,294)
1323        ( 55,290,303,235,131,213)( 57,113,258,117,187, 89)( 58,296,207,183,
1324         157, 70)( 59,143,174,145,150, 67)( 60,242,195,246,104,280)
1325        ( 61,200,169,298,128,261)( 62,299,217,212,177,141)( 64,325,278,241,
1326         155,287)( 65, 83,216,133, 81, 90)( 68,139,281,293,175,229)
1327        ( 69,288,122,197,100,249)( 74,149,237,318,152,178)( 77,327,193,138,
1328         314,107)( 78,320,226,167,176,301)( 79,218,204,285,181,236)
1329        ( 84,116,171,126,123,103)( 98,310,179)( 99,166,196,214,132,283)
1330        (106,270)(111,302,140,230,205,321)(137,330,144)(153,199,308,322,286,
1331         284)(162,277,251)(164,268,306,257,263,252)(190,239,328)(232,273) ] ],
1332[ 4, 39916800, 0, "2", [ [ 35, 1 ], [ 126, 1 ], [ 28, 1 ], [ 140, 1 ] ], 1,
1333  "Sym(11)", [ "A", 11, 1 ],
1334  [ (  1, 89, 52,105,264,228,330,234,205,232,  8)(  2,145,165, 91, 47, 10,217,
1335         65,267, 11,303)(  3,224,181,266,161,139,261,240,101,212, 83)
1336        (  4, 74,176,200,233,187,222,204, 39,109,292)(  5, 28,183,118,237,310,
1337         319,174,115, 78,184)(  6,275,140, 43,132,226,305,214,194,113, 38)
1338        (  7, 31, 70,238,142, 71,285,100,297,270,221)(  9,158, 37,168,160,281,
1339         63,154,223, 58, 96)( 12,186,236,315,309,313, 66, 61,137,322,201)
1340        ( 13,296, 49,147,136, 54,246,108,265, 81,173)( 14,242,279,213,146,263,
1341         307, 86, 95,111,272)( 15,149, 21,157,231,195, 44,308,196, 76,245)
1342        ( 16,151, 99,259, 93,255,148,276,144, 40, 82)( 17,127, 30,133, 80,119,
1343         88,328,171,290,249)( 18,215,260,229,110, 42,159,326,116, 57,150)
1344        ( 19, 20,302,280,180,273,182,293, 69,283,329)( 22,155,286, 51,135,220,
1345         125, 48,123,190,325)( 23,179,268,134, 56, 79,318,320,288,244,152)
1346        ( 24,124,239,300, 72,277,117,299,197,218,172)( 25,189,198,209, 90, 62,
1347         170, 94,284,230, 97)( 26,121, 34,321,301,317,241,252,122, 35,114)
1348        ( 27,104, 33,207, 64,178,316,306,185,202, 84)( 29,112, 41, 98,120,191,
1349         327,274,126,257,107)( 32,163,162,248,295,203,102, 60,298,153,311)
1350        ( 36,131,271,258,314,206,225,291,167,278, 75)( 45,289,141,188, 50,324,
1351         130, 73, 68,177,143)( 46,138,251,166,243,323,199,247,156,256, 92)
1352        ( 53,269,164,250,235,106, 67,287,227,192,253)( 55,211, 85, 59,254,128,
1353         210,216,312,169,282)( 77,103,219,175,208,193,294, 87,262,129,304),
1354      (  1,212, 61, 99, 37, 62,324)(  2,309,307, 56,182, 60,156)
1355        (  3,260, 38,203,293, 41,284)(  4,113, 65, 87,133,282,195)
1356        (  5,216,317,  6,115,225,105, 93,215,287,112,310,188,138)
1357        (  7, 57,162,254,160,161,297,126,290,199,228,301, 20,283)
1358        (  8, 58,204, 98,110,207, 73)(  9,153,200,201,150,163, 17)
1359        ( 10,218, 18,176,128, 12,219)( 11,230,217,197, 97,187,234,147,202,226,
1360         166,103,186, 27)( 13,137,149, 32,206,168,257,174,320,330,233,269,155,
1361         40)( 14,322,152,244,141, 15,190)( 16,328,120,208, 36,154, 43, 33,298,
1362         118, 22,255,145,276)( 19,272,173,221, 26,177,251)( 21,178,106, 31,
1363         237, 69,302)( 23,224,108,243,210,123,139, 24,191,100,242, 25,132,314)
1364        ( 28,308, 64, 30,277, 86, 34)( 29,220,318,271,245,319,267,232,211,326,
1365         264,266, 96,312)( 35,169, 77,286,258, 67,193)( 39,313, 66, 71, 54,
1366          55,295)( 42,109, 44,263, 79, 72, 50)( 45,261,321,294,209, 95,122)
1367        ( 46,167, 48,239,285, 80,235)( 47,231,246,275,185,299,214,274,238,252,
1368         52,192, 74,198)( 49,268,256,292,304, 59, 78)( 51,134, 83,303,140, 75,
1369         179)( 53,236,259,130,253,265,144)( 63,273,159, 94,241,306,135,291,
1370         262,129, 88,250, 68,101)( 70,315,300,102,125, 91,107)
1371        ( 76,205,305,180,151,316,121,111,127, 81,146,183,136,148)
1372        ( 82,157,247,170, 85,327,325,114,124,240,142,117,158,270)
1373        ( 84,279,280,229,278,223,116)( 89, 90,248,119, 92,296,281)
1374        (104,189,164,131,181,175,329)(143,288,172,289,222,184,165,171,311,249,
1375         323,213,194,196) ] ],
1376[5, Factorial(330)/2,1,"2",[[329,1]],328, "Alt(330)", ["A",330, 1], "Alt"],
1377[6, Factorial(330),0,"2",[[329, 1]],330, "Sym(330)", ["A",330, 1], "Sym"]];
1378PRIMGRP[331]:=
1379[[1, Factorial(331)/2,1,"2",[[330,1]],329, "Alt(331)", ["A",331, 1], "Alt"],
1380[2, Factorial(331),0,"2",[[330, 1]],331, "Sym(331)", ["A",331, 1], "Sym"],
1381[ 3, 331, 3, "1", [ [ 1, 330 ] ], 1, "C(331)", [ "Z", 331, 1 ], [  ] ],
1382[ 4, 662, 2, "1", [ [ 2, 165 ] ], 1, "D(2*331)", [ "Z", 331, 1 ],
1383  [ [ [ Z(331)^165 ] ] ] ],
1384[ 5, 993, 2, "1", [ [ 3, 110 ] ], 1, "331:3", [ "Z", 331, 1 ],
1385  [ [ [ Z(331)^110 ] ] ] ],
1386[ 6, 1655, 2, "1", [ [ 5, 66 ] ], 1, "331:5", [ "Z", 331, 1 ],
1387  [ [ [ Z(331)^66 ] ] ] ],
1388[ 7, 1986, 2, "1", [ [ 6, 55 ] ], 1, "331:6", [ "Z", 331, 1 ],
1389  [ [ [ Z(331)^55 ] ] ] ],
1390[ 8, 3310, 2, "1", [ [ 10, 33 ] ], 1, "331:10", [ "Z", 331, 1 ],
1391  [ [ [ Z(331)^33 ] ] ] ],
1392[ 9, 3641, 2, "1", [ [ 11, 30 ] ], 1, "331:11", [ "Z", 331, 1 ],
1393  [ [ [ Z(331)^30 ] ] ] ],
1394[ 10, 4965, 2, "1", [ [ 15, 22 ] ], 1, "331:15", [ "Z", 331, 1 ],
1395  [ [ [ Z(331)^22 ] ] ] ],
1396[ 11, 7282, 2, "1", [ [ 22, 15 ] ], 1, "331:22", [ "Z", 331, 1 ],
1397  [ [ [ Z(331)^15 ] ] ] ],
1398[ 12, 9930, 2, "1", [ [ 30, 11 ] ], 1, "331:30", [ "Z", 331, 1 ],
1399  [ [ [ Z(331)^11 ] ] ] ],
1400[ 13, 10923, 2, "1", [ [ 33, 10 ] ], 1, "331:33", [ "Z", 331, 1 ],
1401  [ [ [ Z(331)^10 ] ] ] ],
1402[ 14, 18205, 2, "1", [ [ 55, 6 ] ], 1, "331:55", [ "Z", 331, 1 ],
1403  [ [ [ Z(331)^6 ] ] ] ],
1404[ 15, 21846, 2, "1", [ [ 66, 5 ] ], 1, "331:66", [ "Z", 331, 1 ],
1405  [ [ [ Z(331)^5 ] ] ] ],
1406[ 16, 36410, 2, "1", [ [ 110, 3 ] ], 1, "331:110", [ "Z", 331, 1 ],
1407  [ [ [ Z(331)^3 ] ] ] ],
1408[ 17, 54615, 2, "1", [ [ 165, 2 ] ], 1, "331:165", [ "Z", 331, 1 ],
1409  [ [ [ Z(331)^2 ] ] ] ],
1410[ 18, 109230, 2, "1", [ [ 330, 1 ] ], 2, "AGL(1, 331)", [ "Z", 331, 1 ],
1411  [ [ [ Z(331) ] ] ] ]];
1412PRIMGRP[332]:=
1413[[ 1, 18132180, 1, "2", [ [ 331, 1 ] ], 2, "PSL(2, 331)",
1414  [ "L", [ 2, 331 ], 1 ], "psl" ],
1415[ 2, 36264360, 0, "2", [ [ 331, 1 ] ], 3, "PGL(2, 331)",
1416  [ "L", [ 2, 331 ], 1 ], "pgl" ],
1417[3, Factorial(332)/2,1,"2",[[331,1]],330, "Alt(332)", ["A",332, 1], "Alt"],
1418[4, Factorial(332),0,"2",[[331, 1]],332, "Sym(332)", ["A",332, 1], "Sym"]];
1419PRIMGRP[333]:=
1420[[1, Factorial(333)/2,1,"2",[[332,1]],331, "Alt(333)", ["A",333, 1], "Alt"],
1421[2, Factorial(333),0,"2",[[332, 1]],333, "Sym(333)", ["A",333, 1], "Sym"]];
1422PRIMGRP[334]:=
1423[[1, Factorial(334)/2,1,"2",[[333,1]],332, "Alt(334)", ["A",334, 1], "Alt"],
1424[2, Factorial(334),0,"2",[[333, 1]],334, "Sym(334)", ["A",334, 1], "Sym"]];
1425PRIMGRP[335]:=
1426[[1, Factorial(335)/2,1,"2",[[334,1]],333, "Alt(335)", ["A",335, 1], "Alt"],
1427[2, Factorial(335),0,"2",[[334, 1]],335, "Sym(335)", ["A",335, 1], "Sym"]];
1428PRIMGRP[336]:=
1429[[ 1, 40320, 0, "2", [ [ 15, 1 ], [ 60, 2 ], [ 30, 2 ], [ 20, 1 ], [ 120, 1 ] ]
1430    , 1, "PSL(3, 4).2", [ "L", [ 3, 4 ], 1 ],
1431  [ (  1,193)(  2,227)(  3, 91)(  4,305)(  5,199)(  6,268)(  7,183)(  8,140)
1432        (  9,225)( 10,254)( 11,215)( 12,163)( 13, 47)( 14,192)( 15, 56)
1433        ( 16, 22)( 17,108)( 18, 19)( 20,148)( 21,300)( 23,240)( 24,258)
1434        ( 25, 66)( 26, 86)( 27, 73)( 28, 93)( 29,181)( 30, 45)( 31,244)
1435        ( 32,105)( 33,255)( 34, 78)( 35,119)( 36,290)( 37,133)( 38,271)
1436        ( 39,111)( 40,155)( 42,176)( 44, 75)( 46,267)( 48,333)( 49,329)
1437        ( 50,275)( 51,139)( 52,331)( 53,307)( 54,203)( 57, 64)( 58,210)
1438        ( 59,332)( 60,292)( 61,273)( 62,156)( 63,261)( 65,147)( 67, 76)
1439        ( 68,218)( 69,174)( 70,106)( 71,136)( 72,152)( 74,236)( 77,178)
1440        ( 79,217)( 80,208)( 81,126)( 82,167)( 84,242)( 85,135)( 87,154)
1441        ( 88,110)( 89,118)( 90,144)( 92,291)( 94,179)( 95,117)( 96,238)
1442        ( 97,204)( 98,123)( 99,200)(101,171)(102,285)(103,257)(104,112)
1443        (107,269)(109,259)(113,160)(114,276)(115,146)(116,325)(121,188)
1444        (122,151)(124,224)(125,130)(127,195)(128,302)(131,308)(132,296)
1445        (134,256)(137,158)(138,262)(141,221)(142,320)(143,317)(145,169)
1446        (149,279)(150,211)(153,190)(157,336)(159,304)(161,232)(162,274)
1447        (164,175)(165,186)(166,293)(168,335)(170,184)(173,216)(177,330)
1448        (182,245)(185,280)(187,306)(189,214)(191,219)(196,229)(197,252)
1449        (198,283)(201,313)(202,282)(205,220)(207,209)(213,289)(222,321)
1450        (223,301)(226,265)(228,249)(230,312)(231,263)(233,328)(234,324)
1451        (235,272)(237,295)(239,286)(243,319)(246,323)(247,287)(250,278)
1452        (251,266)(253,309)(260,316)(264,270)(277,334)(284,315)(288,311)
1453        (294,310)(297,326)(298,322)(299,318)(303,327),
1454      (  1,189,145,212)(  2,167, 77, 74)(  3,158,323,329)(  4,122, 56,123)
1455        (  5,114,175,271)(  6,198, 44, 65)(  7, 21, 42,301)(  8,312,173,211)
1456        (  9,257,273,302)( 10, 69,155,180)( 11,185, 55, 29)( 12,321, 86,150)
1457        ( 13,267, 79,284)( 14, 87,217,270)( 15,288, 66,134)( 16,177,220,279)
1458        ( 17,210,328, 60)( 18,200,260,153)( 19,147, 51,192)( 20,104,159, 61)
1459        ( 22,298,182,240)( 23,154,251,225)( 24,143,103,171)( 25,206,327,137)
1460        ( 26,170,152,325)( 27, 85,331,263)( 28,160,235,132)( 30,221,236,162)
1461        ( 31,326, 41,195)( 32,307,199, 78)( 33,130,244, 36)( 34, 84,230,229)
1462        ( 35, 83,227,228)( 37,291,118,258)( 38, 52,140,316)( 39,277,178, 70)
1463        ( 40,202, 91,233)( 43, 49,275,335)( 45,226,313,248)( 46, 59, 93,299)
1464        ( 47,151,203,278)( 48,113,165, 73)( 50,208, 63,300)( 53,174,156,297)
1465        ( 54,176,272,188)( 57,209)( 58,111,172,317)( 62,215,216, 72)
1466        ( 64,108,205, 98)( 67,294,259,290)( 68,239,238,120)( 71,121,149,243)
1467        ( 75,102,190,322)( 76,125,138,286)( 80, 96,249,268)( 81, 95,231,304)
1468        ( 82,314,101,223)( 88,119,126,201)( 89,139,333,219)( 90,157,265,224)
1469        ( 92, 94,135,169)( 97,250,193,336)( 99,129,183,310)(100,266,163,306)
1470        (105,164,234,308)(106,247)(107,133)(109,187,295,136)(110,186,252,269)
1471        (112,179,318,246)(115,131)(116,292,241,144)(117,280,332,330)
1472        (124,207,256,245)(127,222,214,276)(128,196,161,191)(141,303)
1473        (142,148,309,264)(146,181,262,285)(166,287,281,305)(168,253,293,204)
1474        (184,194)(197,254,232,320)(213,334,274,289)(218,296,319,242)(237,324)
1475        (255,261)(282,283,311,315) ] ],
1476[ 2, 40320, 0, "2", [ [ 15, 3 ], [ 30, 1 ], [ 20, 1 ], [ 120, 2 ] ], 1,
1477  "PSL(3, 4).2", [ "L", [ 3, 4 ], 1 ],
1478  [ (  1,306)(  2,336)(  3,212)(  4,192)(  5,228)(  6,273)(  7,221)(  8,311)
1479        (  9,328)( 10,238)( 11,195)( 12,201)( 13,316)( 14,315)( 15,272)
1480        ( 16,216)( 17,118)( 18, 34)( 19, 24)( 20,259)( 21, 25)( 22,181)
1481        ( 26, 65)( 27,149)( 28,223)( 29,164)( 30,247)( 31,121)( 32,105)
1482        ( 33,198)( 35,128)( 37,124)( 39,314)( 40,270)( 41,123)( 42, 77)
1483        ( 43,318)( 44,210)( 45,283)( 46, 78)( 47,233)( 48,174)( 49,278)
1484        ( 50,281)( 52,130)( 53,239)( 54,333)( 55,299)( 56,285)( 57,138)
1485        ( 58,191)( 59,308)( 60,256)( 61,293)( 62,289)( 63,220)( 64,114)
1486        ( 66,179)( 67,112)( 68,209)( 69,330)( 70,196)( 71,262)( 72,305)
1487        ( 73,176)( 74,244)( 75,304)( 76,317)( 80, 82)( 81,180)( 83,241)
1488        ( 84,154)( 85,185)( 86,207)( 87,286)( 88,245)( 89,135)( 90,141)
1489        ( 91,172)( 92,186)( 93,146)( 94, 95)( 96,110)( 97,236)( 98,120)
1490        ( 99,301)(101,104)(102,282)(103,298)(106,193)(107,312)(108,280)
1491        (109,131)(111,194)(113,268)(115,200)(116,322)(117,300)(119,302)
1492        (122,199)(125,277)(126,206)(127,224)(132,334)(133,215)(134,205)
1493        (136,276)(137,257)(139,226)(140,237)(142,253)(143,171)(144,211)
1494        (147,218)(148,332)(150,183)(151,168)(152,284)(153,295)(155,184)
1495        (156,231)(157,251)(158,325)(159,219)(160,166)(161,313)(162,170)
1496        (163,324)(165,208)(167,291)(169,271)(173,175)(177,203)(178,279)
1497        (182,254)(187,229)(188,204)(189,327)(190,288)(197,243)(202,235)
1498        (213,297)(217,290)(222,230)(225,260)(227,294)(232,234)(242,307)
1499        (246,269)(248,275)(249,335)(250,329)(252,309)(255,287)(258,267)
1500        (261,292)(263,326)(264,274)(266,310)(296,331)(319,320)(321,323),
1501      (  1,234,210, 84, 96,288)(  2,206,307,294, 87,184)(  3, 18,264,303,304,
1502         278)(  4,167,262,163,146,268)(  5,160,139)(  6, 92,275, 23,205,141)
1503        (  7, 30,121,211, 14,195)(  8,201,145, 20,100,301)(  9,290,249,133,
1504         326,137)( 10,284, 59,243,207, 63)( 11,310,319, 49, 90,166)
1505        ( 12,158,292,168,190,286)( 13,285,119,181, 69,123)( 15, 29,331,213,
1506         229,187)( 16, 36,323,241,309,125)( 17,204,149, 39,336, 86)
1507        ( 19, 64,302,198, 52, 68)( 21,105, 38,224,180, 66)( 22,165,217,194,
1508         267,118)( 24,140,128,159,136, 79)( 25,176,237,215,259,227)
1509        ( 26,172,248, 72,114, 53)( 27,274,157,109,134,103)( 28,216, 44,111,
1510         238,297)( 31,189,245,147,104,270)( 32, 95,162, 33,316,142)
1511        ( 34,186,143,329,218,116)( 35,171, 58,320,179,265)( 37,193, 48,155,
1512         107, 41)( 40,151,183,260,226,131)( 42, 70,182,177, 50,252)
1513        ( 43,120,235,333, 65,129)( 45,298, 91,124,152,328)( 46,102,273,231,
1514         312,110)( 47,169,261, 57,153,154)( 51,283,221,222, 88,314)
1515        ( 54,113, 83,258, 62,106)( 55,112,254,317,230,228)( 60,161,173,295,
1516          74,185)( 61,287,299,132, 97,202)( 67,126,327,199,247,257)
1517        ( 71,315,256,214,306,101)( 73,266,291,240,324,250)( 75,188,321,246,
1518         253,156)( 76,279,322)( 77, 93,192,236,300, 80)( 78,175,208,305,212,
1519         108)( 81, 98,138,233,277,219)( 82,170,332,239,276,281)( 85,289,232)
1520        ( 89,271,325, 99,335,313)( 94,242,255,334,225,164)(115,150,135,144,
1521         251,178)(117,293,127,269,223,130)(148,272,220,174,244,318)
1522        (191,282,308,330,197,280)(196,203,263,209,296,200) ] ],
1523[ 3, 80640, 0, "2", [ [ 15, 1 ], [ 30, 2 ], [ 20, 1 ], [ 120, 2 ] ], 1,
1524  "PSL(3, 4).2^2", [ "L", [ 3, 4 ], 1 ],
1525  [ (  1,103)(  3,263)(  4,107)(  5, 16)(  6, 40)(  7,137)(  8,108)(  9,240)
1526        ( 10,252)( 11, 42)( 12, 81)( 13,122)( 14,136)( 17,111)( 18,319)
1527        ( 19,190)( 20, 30)( 22,199)( 23, 34)( 24,206)( 26, 75)( 27,310)
1528        ( 31,184)( 32,131)( 33, 63)( 35,187)( 36,160)( 38,330)( 39,104)
1529        ( 43,241)( 44,113)( 45,224)( 46, 82)( 47,178)( 48, 67)( 49,200)
1530        ( 50,325)( 51,130)( 52,135)( 53,322)( 54,250)( 55,258)( 57,334)
1531        ( 58,331)( 59,185)( 60,329)( 61,278)( 62,307)( 64,207)( 65,279)
1532        ( 66,133)( 68, 84)( 70,234)( 72,125)( 73,231)( 74,134)( 76,333)
1533        ( 77,123)( 78,336)( 83,249)( 85,179)( 86,290)( 87,266)( 88,281)
1534        ( 89,303)( 90,168)( 91,294)( 92,158)( 93,285)( 94,210)( 95,177)
1535        ( 96,166)( 97,286)( 98,151)( 99,316)(100,110)(101,181)(105,245)
1536        (106,220)(109,186)(112,140)(114,321)(115,138)(116,255)(117,328)
1537        (118,262)(120,309)(121,152)(124,312)(126,155)(127,297)(128,204)
1538        (129,246)(132,243)(139,188)(141,182)(142,161)(143,299)(144,242)
1539        (145,291)(146,327)(147,222)(148,230)(149,276)(150,304)(153,296)
1540        (154,264)(156,235)(157,225)(159,282)(162,277)(163,268)(164,205)
1541        (165,247)(169,183)(172,323)(173,203)(174,208)(175,324)(176,193)
1542        (180,228)(191,239)(196,226)(197,293)(198,202)(201,270)(209,274)
1543        (211,283)(212,223)(213,289)(214,300)(215,257)(216,273)(217,227)
1544        (218,335)(219,302)(221,308)(229,232)(233,271)(236,315)(237,259)
1545        (238,254)(248,253)(251,313)(256,311)(260,292)(261,275)(265,320)
1546        (272,298)(280,317)(284,288)(287,295)(301,314)(318,332),
1547      (  1,263, 21)(  2,205,326, 50,240,312)(  3, 74, 52,329,285, 12)
1548        (  4,125,130,123,142,144)(  5,171,233, 59,241,189)(  6,164,271, 58,
1549         330,174)(  7,199,192, 81,178,212)(  8,310,111, 15,183,143)
1550        (  9, 96,250,277,122,309)( 10,334,118,184,197, 78)( 11, 28, 29,246,
1551         333,140)( 13,155,119,229,249,159)( 14,158,135,133,319, 99)
1552        ( 16,169,223, 53,242,124)( 17,103,258, 65, 60,302)( 18,127,297, 44,
1553         126,204)( 19, 68,172,283,156,320)( 20, 40, 25,134, 51,336)
1554        ( 22,100,116,322,181, 86)( 23,321,168, 95,260,314)( 24,215,305,274,
1555         235,300)( 26,299,243,316, 30, 42)( 27, 72, 89,331,291, 45)
1556        ( 31,257,105,290,313, 38)( 32,129,137,324,218, 97)( 33,104,234,179,
1557         287,210)( 34,318,101,227,254,120)( 35,296,325, 73,209,117)
1558        ( 36,200,115,332,203,148)( 37,131,269,273, 64,230)( 39,102, 92,303,
1559         138,323)( 41,244,279, 61,328, 93)( 43,188,280,278,106,232)
1560        ( 46, 55,267,245,335,208)( 47,150,162,289,112, 82)( 48,288,239,195,
1561          84,114)( 49,185,294,198,213,284)( 54,109,307,190, 69,160)
1562        ( 56,110,293,180,211,220)( 57,186,292, 94,214,151)( 62,276, 83,226,
1563         266, 90)( 63,253,146,252,221,201)( 66,193,152,224, 98,317)
1564        ( 67,141,311,228,248,196)( 70,153,194,139,308, 80)( 71, 79, 75,304,
1565         262,286)( 76,182, 85,108,206,255)( 77,268,238,165,187,256)
1566        ( 88,298,132,113,247,219)( 91,176,315,251,264,149)(107,281,306,270,
1567         265,259)(121,161,173,147,145,163)(128,202,157,301,231,167)
1568        (136,170,272,295,275,327)(154,237,166,191,216,222)(175,217,236)
1569        (225,261,282) ] ],
1570[ 4, 120960, 0, "2", [ [ 45, 1 ], [ 60, 2 ], [ 30, 1 ], [ 20, 1 ], [ 120, 1 ]
1571     ], 1, "PSL(3, 4).Sym(3)", [ "L", [ 3, 4 ], 1 ],
1572  [ (  1,199)(  2,167)(  3,315)(  4,104)(  5,217)(  6,176)(  7,286)(  8,302)
1573        (  9,314)( 10, 39)( 11,268)( 12,267)( 13,288)( 15,163)( 16,126)
1574        ( 17,123)( 18, 57)( 19, 67)( 20,291)( 21,324)( 22, 82)( 23,322)
1575        ( 24,281)( 25,121)( 26,305)( 27,311)( 28,100)( 29,197)( 30,133)
1576        ( 31,136)( 32, 80)( 33,295)( 34,168)( 35,108)( 36,191)( 37,221)
1577        ( 38,276)( 40,193)( 42, 56)( 43,282)( 44,141)( 45, 74)( 46,155)
1578        ( 47,105)( 48,173)( 49,180)( 50,328)( 51,310)( 52,336)( 53,329)
1579        ( 54,202)( 55,110)( 58,242)( 59,240)( 60,330)( 61,241)( 62,321)
1580        ( 63,327)( 66,252)( 68,186)( 69,284)( 70,308)( 71,206)( 72,224)
1581        ( 73,124)( 75,152)( 76,283)( 77,125)( 78,280)( 79,257)( 81,215)
1582        ( 83,185)( 84,235)( 85,270)( 86,134)( 87,301)( 88,102)( 89,201)
1583        ( 90,149)( 91,166)( 92,293)( 93,184)( 94,248)( 95,266)( 96,300)
1584        ( 97,214)( 98,239)( 99,222)(101,219)(103,227)(106,112)(107,145)
1585        (109,147)(111,290)(113,140)(114,307)(115,320)(116,272)(118,156)
1586        (119,171)(120,200)(122,189)(127,213)(128,178)(129,228)(130,151)
1587        (131,175)(132,203)(135,251)(137,174)(138,253)(139,220)(142,143)
1588        (144,332)(148,188)(150,209)(153,274)(154,331)(158,306)(160,256)
1589        (161,303)(162,289)(164,204)(165,179)(169,254)(172,237)(177,249)
1590        (181,312)(182,230)(183,238)(187,231)(190,211)(192,258)(194,207)
1591        (195,250)(196,292)(198,326)(205,236)(208,294)(210,259)(212,309)
1592        (216,296)(218,223)(225,325)(226,318)(229,317)(232,271)(233,313)
1593        (234,269)(243,333)(245,263)(246,335)(247,299)(255,279)(260,264)
1594        (262,316)(265,323)(273,334)(277,297)(304,319),
1595      (  1,238, 43)(  2,152,117)(  3, 79,121)(  4,167, 57)(  5,236, 76)
1596        (  6,100, 22)(  7,154, 68)(  8,275, 34)(  9, 11,315)( 10,199,261)
1597        ( 12,105,219)( 13,203,283)( 14,193,264)( 15,128, 38)( 16,245,144)
1598        ( 17, 29,229)( 18, 20,310)( 19,258,306)( 21,160,116)( 23,147, 66)
1599        ( 24,251, 30)( 25,195,179)( 26, 77,156)( 27, 81,192)( 28,273,173)
1600        ( 31,227,320)( 32,267,226)( 33,101, 83)( 35,163, 44)( 36,290, 71)
1601        ( 37,202,111)( 39,332,249)( 40,204, 60)( 41,254, 97)( 42,244, 78)
1602        ( 45,331,187)( 46,305,213)( 47,201,145)( 48,301,303)( 49,212,109)
1603        ( 50,334,271)( 51,196, 73)( 52,304, 90)( 53,253, 91)( 54,327,314)
1604        ( 55,228,207)( 56,321, 72)( 58,265,289)( 59,153, 67)( 61,230,292)
1605        ( 62, 64,330)( 63,263,216)( 65,277,125)( 69,323,127)( 70,335,112)
1606        ( 74,155,296)( 75,336,172)( 80,210,178)( 82,119, 99)( 84,328,115)
1607        ( 85,223, 87)( 86,278,252)( 88,126,106)( 89,233,159)( 92,165,189)
1608        ( 93,151,161)( 94,222,240)( 95,246,259)( 96,257,150)( 98,224,140)
1609        (102,274,208)(103,110,218)(104,183,180)(107,198,135)(108,139,313)
1610        (113,191,162)(114,200,262)(118,288,255)(120,285,170)(122,308,282)
1611        (123,221,164)(124,206,293)(129,134,309)(130,166,324)(131,247,185)
1612        (132,286,209)(133,239,149)(136,319,322)(137,281,232)(138,157,300)
1613        (141,142,329)(143,276,250)(146,171,272)(148,182,217)(158,279,312)
1614        (168,181,269)(169,270,316)(174,234,175)(176,248,302)(177,317,194)
1615        (184,197,325)(186,294,256)(188,268,242)(190,280,326)(205,298,299)
1616        (211,333,260)(214,307,235)(215,237,284)(220,225,243)(231,297,287)
1617        (241,318,295)(266,291,311) ] ],
1618[ 5, 120960, 0, "2", [ [ 45, 1 ], [ 30, 1 ], [ 20, 1 ], [ 120, 2 ] ], 1,
1619  "PSL(3, 4).6", [ "L", [ 3, 4 ], 1 ],
1620  [ (  1,163)(  2,268)(  3, 66)(  4, 73)(  5,199)(  6,227)(  7, 26)(  8, 30)
1621        (  9,295)( 10,122)( 11,215)( 12,193)( 13, 75)( 14,285)( 15, 22)
1622        ( 16, 56)( 17,300)( 18,195)( 19,127)( 20, 69)( 21,108)( 23,242)
1623        ( 24,244)( 25, 91)( 27,305)( 28, 93)( 29,105)( 31,258)( 32,181)
1624        ( 33,246)( 34,146)( 35,106)( 36,315)( 37,204)( 38, 89)( 39,111)
1625        ( 40,155)( 42,217)( 43,194)( 44, 47)( 45,140)( 46,257)( 48,289)
1626        ( 49,328)( 50,253)( 51,252)( 52,147)( 53,320)( 54, 64)( 57,203)
1627        ( 58,201)( 59,161)( 60,287)( 61,207)( 62,270)( 63,249)( 65,331)
1628        ( 68,262)( 70,119)( 71,136)( 72,291)( 74,137)( 77,169)( 78,115)
1629        ( 79,176)( 80,112)( 81,167)( 82,126)( 83,248)( 84,240)( 85,317)
1630        ( 86,183)( 87,265)( 88,184)( 90,259)( 92,152)( 94,272)( 95,165)
1631        ( 96,113)( 97,133)( 98,121)( 99,303)(100,206)(101,164)(102,192)
1632        (103,267)(104,208)(107,191)(109,144)(110,170)(114,229)(116,301)
1633        (117,186)(118,271)(120,314)(123,188)(124,214)(125,256)(128,310)
1634        (129,212)(130,134)(131,308)(132,326)(135,143)(138,218)(139,197)
1635        (141,306)(142,307)(145,178)(148,174)(149,280)(150,278)(151,254)
1636        (153,190)(154,226)(156,264)(157,316)(158,236)(159,334)(160,238)
1637        (162,283)(166,311)(168,330)(171,175)(172,180)(177,335)(179,235)
1638        (182,324)(185,279)(187,221)(189,224)(196,276)(198,274)(200,327)
1639        (205,220)(209,273)(210,313)(211,250)(213,333)(219,269)(222,266)
1640        (223,325)(225,237)(228,261)(230,312)(231,263)(232,332)(233,329)
1641        (234,245)(239,286)(247,292)(251,321)(255,323)(260,336)(275,309)
1642        (277,304)(284,290)(288,293)(294,302)(296,297)(298,318)(299,322),
1643      (  1,298, 13)(  2, 52, 77)(  3,300,141)(  4,142,143)(  5,334, 44)
1644        (  6, 49,220)(  7, 79,250)(  8,216,  9)( 10, 65,327)( 11, 32, 86)
1645        ( 12, 85, 31)( 14,209, 99)( 15,280,175)( 16,129, 93)( 17, 91,103)
1646        ( 18, 76,214)( 19,163,310)( 20,271,118)( 21, 67,132)( 22,102,172)
1647        ( 23,153,264)( 24, 42,257)( 25,211,134)( 26,328,166)( 27,104,176)
1648        ( 28,318,219)( 29,146,268)( 30,289,325)( 33,302,232)( 34,278,111)
1649        ( 35,255,235)( 36,207,199)( 37, 63,267)( 38,136,169)( 39,188,218)
1650        ( 40,296,231)( 41,158,145)( 43,108,112)( 45, 94, 97)( 46,125, 55)
1651        ( 47,317,187)( 48,265,150)( 50,306,307)( 51,273, 87)( 53,272,249)
1652        ( 54, 61,228)( 56, 70,299)( 57,157,154)( 58, 78, 69)( 59,123,119)
1653        ( 60, 80, 62)( 64, 74,247)( 66, 82,116)( 68,329,124)( 71,292,277)
1654        ( 72,313,203)( 73,105,189)( 75,212,107)( 81, 89,101)( 83,246,180)
1655        ( 84,304,237)( 88,319,190)( 90,130,140)( 92,173,227)( 95,137,192)
1656        ( 96,197,323)( 98,156,215)(100,198,291)(106,128,114)(109,311,274)
1657        (110,171,181)(113,254,177)(115,117,224)(120,287,330)(121,167,206)
1658        (122,245,195)(126,234,316)(127,251,303)(131,178,297)(133,315,202)
1659        (135,208,225)(138,276,293)(139,205,256)(144,148,260)(147,286,164)
1660        (149,252,263)(151,179,217)(152,284,324)(155,170,210)(159,281,183)
1661        (160,221,193)(161,333,282)(162,201,240)(165,295,223)(168,253,242)
1662        (174,200,322)(182,309,308)(184,244,301)(185,285,204)(186,283,335)
1663        (191,331,312)(194,222,279)(196,320,241)(213,230,261)(226,239,275)
1664        (229,269,332)(233,259,248)(236,288,258)(238,321,294)(243,336,266)
1665        (262,270,326)(290,305,314) ] ],
1666[ 6, 241920, 0, "2", [ [ 45, 1 ], [ 30, 1 ], [ 20, 1 ], [ 120, 2 ] ], 1,
1667  "PSL(3, 4).D_12", [ "L", [ 3, 4 ], 1 ],
1668  [ (  1,159,143,213,232,290,154,167,112,250)(  2, 46,212,233,168,120,251,227,
1669         176, 62)(  3,319,123,153,321,192,280, 51,160,327)(  4,178,138, 80,
1670         200,248,110,101,130,234)(  5,149,279, 23,126, 18, 83, 41,318,326)
1671        (  6,236,223,239, 36,165, 47,193,216, 54)(  7,277, 33, 97,313,133,230,
1672         95, 20,125)(  8, 90, 64,219, 86,137,253,284,208, 89)(  9, 12,181,304,
1673         177,124,116, 53,155, 94)( 10,187, 66,108, 68)( 11, 38, 65,294,196,
1674         202,174,257, 58, 87)( 13,103,147, 74,157,186,224,225,268,141)
1675        ( 14, 34,295,136, 91,132,252, 31,322,287)( 15,300,271, 84,166,175,278,
1676         163,188,249)( 16,211,134,231,325,161, 35,217,115, 69)
1677        ( 17, 52, 50,190, 99,218,324,113,114,189)( 19,335,156,199,172,240, 42,
1678         328,299,241)( 21, 49,162,229,203, 22,209,122, 40,301)
1679        ( 24,118, 26,182,180,303,148,204,222,281)( 25,183,273,272, 57,254,315,
1680         311,170, 37)( 27,247,258,275,195,111,296,245,276,308)
1681        ( 28,292,270,131, 44,105,283, 88, 98,194)( 29, 48,164,274,228,215,261,
1682         119, 82,256)( 30, 32, 61,109, 39, 43,142,184,220,185)
1683        ( 45, 73,265,288, 93,129,243, 96,235, 76)( 55,331,201, 72,264,305,214,
1684         191, 70,107)( 56,169,307, 79,317,150,128,282,293,151)
1685        ( 59,312, 85, 60,309,291,144,198,285,334)( 63,286,145,329,207,302,173,
1686         333,104,289)( 67, 75,139, 77,135,320,100,127,269,102)
1687        ( 71,158,262,205,323, 78,255,106,238,314)( 81,297,267,260,266)
1688        ( 92,237,244,332,306)(117,197,206,259,171,140,298,246,226,152)
1689        (121,330,221,310,146,263,210,336,179,242),
1690      (  1,141,170,259, 69, 17,200,258,101,193,159,177,316, 64)
1691        (  2,112,191, 25,214,257,317,294,145,323, 50,288,310,265)
1692        (  3,282,267,297,128,173, 33, 60,166, 29,154,119,208, 68)
1693        (  4,108,296,272,133, 86,274, 96,185,242,270, 15,209,293)
1694        (  5,172,308,262,136,158,153,122, 93,292,205,314,199,211)
1695        (  6,216,269,247,224, 32,135,106, 77,138,309,202,302,132)
1696        (  7,139,160,114,240, 20, 16,169,311, 56,300, 49,179,291)
1697        (  8,125, 92,113, 13,140, 90,171,330,268, 46,260,221,327)
1698        (  9,124,271, 47,315,217,147,213, 19,143, 53,110, 98,253)
1699        ( 10,103,261,306,194, 45,116, 72,137, 44,273,109,198,335)
1700        ( 11, 58,281, 37,230,250,111, 73, 55,332,155,301,241, 63)
1701        ( 12, 18, 88,118,148,298,303,324,175,182,277,321,336,295)
1702        ( 14,129, 57,123, 66,319,229,284,329,248, 79,115,197,165)
1703        ( 21,225,244,127,163, 38,168,299,203,245,187,234,144,266)
1704        ( 22,149,233,156,152, 61,252, 27,196,326,174,204,178,283)
1705        ( 23,121,235,243,219, 36,304, 83,192, 34, 26,117,126,212)
1706        ( 24,275, 87,189,289, 75, 82,176,256, 48,104, 85,246,184)
1707        ( 28,280,215,181,231,210,190, 59,286, 70, 40, 62, 71, 67)
1708        ( 30, 43,164,223,227,236,157,207, 99,162,134,151,238,249)
1709        ( 31,331,226,195,333,142, 81,188,130,237, 80, 89,255,290)
1710        ( 35,105,264,201, 76,232,279)( 39, 52,131,206,220,307,312, 95,263,222,
1711         41,318,239,146)( 42, 94, 51,107,102,334, 54,285, 91,183,276,167,328,
1712          84)( 65,251,100,322,320, 78,186)( 74,278,254,180,287,218,120)
1713        ( 97,325,150,228,305,313,161) ] ],
1714[ 7, 1451520, 1, "2", [ [ 45, 1 ], [ 90, 1 ], [ 180, 1 ], [ 20, 1 ] ], 1,
1715  "PSp(6, 2)", [ "B", [ 3, 2 ], 1 ],
1716  [ (  1,  2,  4,  6, 10, 16, 24, 36, 54, 78,111,151, 86,120,163)
1717        (  3,  5,  8, 13, 20, 30, 46, 65, 92,127,171,221, 45, 64, 91)
1718        (  7, 12, 18, 28, 42, 59, 85,119,162,211,260,100,137, 40, 57)
1719        (  9, 15, 23, 34, 52, 74,106,144,177,230,273,303,105,143,189)
1720        ( 11, 17, 26, 39, 14, 22, 33, 50, 71,101, 79,112,153,198,209)
1721        ( 19, 29, 44, 62, 89,117,160,208,258,293, 21, 32, 48, 69, 97)
1722        ( 25, 38, 56, 82,116,159,206,138,184,192,244,285, 49, 70, 99)
1723        ( 27, 41, 58, 84, 83,118,161,210,131,175,227,190,241,278,308)
1724        ( 31, 47, 67, 94,130,129,174,225,255,292,136,183,237,279,309)
1725        ( 35, 53, 76,109,148,158,205,254, 98,135,181,235,179,233,216)
1726        ( 37, 55, 80,113,155,201,251,291,315,320,197,154,200,250,290)
1727        ( 43, 61, 88,122,165,215,264,298,319,331,199,249,266,299,246)
1728        ( 51, 73,104,141,187, 81,115,157, 77,110,149,195,247,287,261)
1729        ( 60, 87,121,164,213,228,271,243,284,252,150,196,248,288,313)
1730        ( 63, 90,125,168,124,167,219,265,218,134,180,234,276,306,324)
1731        ( 66, 93,128,173,224,256,172,223,269,301,107,145,191,242,202)
1732        ( 68, 96,133,178,231,275,305,289,314,327,226,270,295,317,329)
1733        ( 72,103,140,185,238,280,310,126,170,194,212,262,294,316,328)
1734        ( 75,108,146,193,245,286,300,232,182,236,274,304,323,333,336)
1735        ( 95,132,176,229,272)(102,139,114,156,203)(123,166,217,207,257,186,
1736         220,267,222,268,277,307,325,152,147)(142,188,239,281,297,259,283,312,
1737         326,334,240,282,311,204,253)(214,263,296,318,330)(302,321,322,332,335
1738         ), (  1,  3)(  4,  7)(  5,  9)(  6, 11)(  8, 14)( 12, 19)( 13, 21)
1739        ( 16, 25)( 17, 27)( 20, 31)( 23, 35)( 24, 37)( 26, 40)( 28, 43)
1740        ( 29, 45)( 32, 49)( 33, 51)( 42, 60)( 44, 63)( 46, 66)( 47, 68)
1741        ( 50, 72)( 52, 75)( 53, 77)( 54, 79)( 55, 81)( 57, 83)( 59, 86)
1742        ( 67, 95)( 69, 98)( 70,100)( 71,102)( 73,105)( 74,107)( 76,103)
1743        ( 78, 87)( 80,114)( 82,117)( 85, 92)( 88,123)( 89,124)( 90,126)
1744        ( 93,129)( 94,131)( 97,134)( 99,136)(101,138)(104,142)(108,147)
1745        (110,150)(111,152)(112,154)(115,158)(119,139)(121,128)(125,169)
1746        (127,172)(132,177)(133,179)(135,182)(140,186)(144,190)(145,192)
1747        (148,194)(151,197)(153,199)(155,202)(156,204)(159,207)(160,209)
1748        (161,181)(162,212)(163,196)(164,214)(165,216)(166,218)(168,185)
1749        (170,220)(171,222)(174,226)(175,228)(178,232)(180,208)(188,240)
1750        (191,243)(193,246)(203,252)(205,255)(206,256)(210,259)(211,261)
1751        (217,231)(219,266)(227,251)(229,242)(230,274)(233,258)(234,277)
1752        (235,278)(241,283)(247,282)(249,289)(254,264)(262,295)(263,297)
1753        (268,300)(270,302)(273,285)(279,287)(296,312)(299,306)(301,320)
1754        (303,322)(307,319)(309,321)(315,318)(317,323)(325,327)(328,333)
1755        (332,336) ] ],
1756[8, Factorial(336)/2,1,"2",[[335,1]],334, "Alt(336)", ["A",336, 1], "Alt"],
1757[9, Factorial(336),0,"2",[[335, 1]],336, "Sym(336)", ["A",336, 1], "Sym"]];
1758PRIMGRP[337]:=
1759[[1, Factorial(337)/2,1,"2",[[336,1]],335, "Alt(337)", ["A",337, 1], "Alt"],
1760[2, Factorial(337),0,"2",[[336, 1]],337, "Sym(337)", ["A",337, 1], "Sym"],
1761[ 3, 337, 3, "1", [ [ 1, 336 ] ], 1, "C(337)", [ "Z", 337, 1 ], [  ] ],
1762[ 4, 674, 2, "1", [ [ 2, 168 ] ], 1, "D(2*337)", [ "Z", 337, 1 ],
1763  [ [ [ Z(337)^168 ] ] ] ],
1764[ 5, 1011, 2, "1", [ [ 3, 112 ] ], 1, "337:3", [ "Z", 337, 1 ],
1765  [ [ [ Z(337)^112 ] ] ] ],
1766[ 6, 1348, 2, "1", [ [ 4, 84 ] ], 1, "337:4", [ "Z", 337, 1 ],
1767  [ [ [ Z(337)^84 ] ] ] ],
1768[ 7, 2022, 2, "1", [ [ 6, 56 ] ], 1, "337:6", [ "Z", 337, 1 ],
1769  [ [ [ Z(337)^56 ] ] ] ],
1770[ 8, 2359, 2, "1", [ [ 7, 48 ] ], 1, "337:7", [ "Z", 337, 1 ],
1771  [ [ [ Z(337)^48 ] ] ] ],
1772[ 9, 2696, 2, "1", [ [ 8, 42 ] ], 1, "337:8", [ "Z", 337, 1 ],
1773  [ [ [ Z(337)^42 ] ] ] ],
1774[ 10, 4044, 2, "1", [ [ 12, 28 ] ], 1, "337:12", [ "Z", 337, 1 ],
1775  [ [ [ Z(337)^28 ] ] ] ],
1776[ 11, 4718, 2, "1", [ [ 14, 24 ] ], 1, "337:14", [ "Z", 337, 1 ],
1777  [ [ [ Z(337)^24 ] ] ] ],
1778[ 12, 5392, 2, "1", [ [ 16, 21 ] ], 1, "337:16", [ "Z", 337, 1 ],
1779  [ [ [ Z(337)^21 ] ] ] ],
1780[ 13, 7077, 2, "1", [ [ 21, 16 ] ], 1, "337:21", [ "Z", 337, 1 ],
1781  [ [ [ Z(337)^16 ] ] ] ],
1782[ 14, 8088, 2, "1", [ [ 24, 14 ] ], 1, "337:24", [ "Z", 337, 1 ],
1783  [ [ [ Z(337)^14 ] ] ] ],
1784[ 15, 9436, 2, "1", [ [ 28, 12 ] ], 1, "337:28", [ "Z", 337, 1 ],
1785  [ [ [ Z(337)^12 ] ] ] ],
1786[ 16, 14154, 2, "1", [ [ 42, 8 ] ], 1, "337:42", [ "Z", 337, 1 ],
1787  [ [ [ Z(337)^8 ] ] ] ],
1788[ 17, 16176, 2, "1", [ [ 48, 7 ] ], 1, "337:48", [ "Z", 337, 1 ],
1789  [ [ [ Z(337)^7 ] ] ] ],
1790[ 18, 18872, 2, "1", [ [ 56, 6 ] ], 1, "337:56", [ "Z", 337, 1 ],
1791  [ [ [ Z(337)^6 ] ] ] ],
1792[ 19, 28308, 2, "1", [ [ 84, 4 ] ], 1, "337:84", [ "Z", 337, 1 ],
1793  [ [ [ Z(337)^4 ] ] ] ],
1794[ 20, 37744, 2, "1", [ [ 112, 3 ] ], 1, "337:112", [ "Z", 337, 1 ],
1795  [ [ [ Z(337)^3 ] ] ] ],
1796[ 21, 56616, 2, "1", [ [ 168, 2 ] ], 1, "337:168", [ "Z", 337, 1 ],
1797  [ [ [ Z(337)^2 ] ] ] ],
1798[ 22, 113232, 2, "1", [ [ 336, 1 ] ], 2, "AGL(1, 337)", [ "Z", 337, 1 ],
1799  [ [ [ Z(337) ] ] ] ]];
1800PRIMGRP[338]:=
1801[[ 1, 19136208, 1, "2", [ [ 337, 1 ] ], 2, "PSL(2, 337)",
1802  [ "L", [ 2, 337 ], 1 ], "psl" ],
1803[ 2, 38272416, 0, "2", [ [ 337, 1 ] ], 3, "PGL(2, 337)",
1804  [ "L", [ 2, 337 ], 1 ], "pgl" ],
1805[3, Factorial(338)/2,1,"2",[[337,1]],336, "Alt(338)", ["A",338, 1], "Alt"],
1806[4, Factorial(338),0,"2",[[337, 1]],338, "Sym(338)", ["A",338, 1], "Sym"]];
1807PRIMGRP[339]:=
1808[[1, Factorial(339)/2,1,"2",[[338,1]],337, "Alt(339)", ["A",339, 1], "Alt"],
1809[2, Factorial(339),0,"2",[[338, 1]],339, "Sym(339)", ["A",339, 1], "Sym"]];
1810PRIMGRP[340]:=
1811[[1, Factorial(340)/2,1,"2",[[339,1]],338, "Alt(340)", ["A",340, 1], "Alt"],
1812[2, Factorial(340),0,"2",[[339, 1]],340, "Sym(340)", ["A",340, 1], "Sym"]];
1813PRIMGRP[341]:=
1814[[ 1, 258492255436800, 1, "2", [ [ 340, 1 ] ], 2, "PSL(5, 2^2)",
1815  [ "L", [ 5, 4 ], 1 ],
1816  [ (  6,209, 48)(  7,274,287)(  8,191,143)(  9, 25,308)( 11,300,137)
1817        ( 12, 50, 69)( 13,212,243)( 14, 57,126)( 15, 47,272)( 16,256, 64)
1818        ( 17, 65,257)( 18,121,324)( 19,169,322)( 20,241, 58)( 21, 86,175)
1819        ( 22, 67,119)( 23,127,306)( 24,171,275)( 27,110,298)( 28,102,318)
1820        ( 29,224,268)( 30,116,207)( 31,260,142)( 32,307,288)( 33,144,276)
1821        ( 35,314,204)( 36, 59, 77)( 37, 78, 60)( 38,112,293)( 39,166,240)
1822        ( 40,341,234)( 41,235,131)( 42,236,132)( 45,280,220)( 46,326,141)
1823        ( 49,265,182)( 51,206,101)( 52,125,251)( 53,107,297)( 54,250,239)
1824        ( 55,245,225)( 56,218,310)( 61,252,106)( 62, 79, 75)( 63,285,208)
1825        ( 66, 96,154)( 68, 76,153)( 70,329,259)( 71, 99,167)( 72,138,187)
1826        ( 73,188,139)( 74,157,269)( 80,170,190)( 81,128,261)( 82,262,129)
1827        ( 84,181,286)( 85,210,163)( 87, 97,316)( 88,195,304)( 89,124,202)
1828        ( 90,140,113)( 91,333, 92)( 93,317,281)( 94,189,271)( 95,330,320)
1829        ( 98,284,305)(100,258,242)(103,221,196)(104,226,135)(105,177,253)
1830        (108,148,109)(111,228,338)(114,147,249)(115,149,278)(117,199,323)
1831        (118,315,183)(120,186,327)(122,337,165)(123,150,312)(136,229,254)
1832        (146,247,283)(151,248,303)(152,319,233)(155,184,176)(156,178,311)
1833        (158,214,219)(159,223,194)(160,334,313)(161,180,255)(162,264,273)
1834        (164,301,321)(168,336,266)(172,289,192)(174,230,335)(179,203,299)
1835        (185,340,198)(197,291,296)(200,231,331)(201,332,232)(205,328,211)
1836        (213,292,339)(215,217,295)(216,222,246)(227,270,244)(267,302,325)
1837        (279,294,282), (  1,255,108,179, 39, 22, 21,287,286,130,129,128,137,
1838         238,237,236,235,  5,  4,  3,  2)(  6,208,296,282,106,316,315, 49, 48,
1839         83, 82, 81, 35,109,221, 52,240,304,329,328,  7)(  8,174,246,147,157,
1840          94, 13, 12,265,264, 40,135,279,195,269,243,242,170,283, 10,  9)
1841        ( 11,295,160,228,119,118,323,280,334,340,318,105,101,100, 85, 84,272,
1842         218,193,192,191)( 14,140, 88,124,122,121,306,232,231, 58, 73, 72, 76,
1843         27,158, 46,184,183, 23, 56,249)( 15, 54,203,253,123,252,152, 79,270,
1844          19, 18, 95, 37, 36,186,250,145,144,143, 17, 16)( 20,194,313,202,251,
1845         302,301)( 24,335,134,133,132,131,180,216,294,207,189,151,268, 75,305,
1846         259,258,120,226, 26, 25)( 28,267,266,190,197, 34, 33, 32,314,217,107,
1847         102,116,325,324,210,209,234,159,225,213)( 29, 89,198,206,205,320,247,
1848         297,293, 87, 86,167, 60, 59,260,239,103,281,338,177, 98)
1849        ( 30, 61,112,326,126,169,168, 99,223,277,276,275,204, 44, 43, 42, 41,
1850         161,215,245,271)( 31, 78, 77,199,139,138,330,110,196, 62, 97, 96,142,
1851         45, 53,284,125,292,311, 51, 50)( 38,156,319,165,164, 68,291,114,224,
1852         176,175,327,332,331,127,115,219,244,150, 92, 57)( 47,146, 55,248,155,
1853         154,163,162,263,262,261,230,148,214,113,166,339,322,321,274,273)
1854        ( 63,278,299,333,111,303,185,141, 93, 70, 69,153,201,200, 71,149,309,
1855         308,307,257,256)( 64,341,298,173,172,171, 65)( 66,241,310,229,233,
1856          74, 91,337,336,182,181,285,220,290,289,288,300,222,254,312, 67)
1857        ( 80,188,187)( 90,212,211,117,104,136,178) ] ],
1858[ 2, 516984510873600, 0, "2", [ [ 340, 1 ] ], 2, "PGammaL(5, 2^2)",
1859  [ "L", [ 5, 4 ], 1 ],
1860  [ (  1, 87, 64,329,274,220, 91,188,293, 28)(  2,252, 11, 84,258,225,165,  8,
1861         79, 35)(  3, 31,115,326,253,185,201, 60,278,289)(  4,192, 75,128,215,
1862         174, 48,282,227,245)(  5,273, 80,144,167,183,327, 36,171,143)
1863        (  6,121, 66,333,270, 26,232,338,134, 12)(  7,288,271,295,334, 41,202,
1864         149,127,251)(  9,308,313,312,117,196,234, 21, 77,157)
1865        ( 10,123, 90, 71, 23)( 13,296,300, 97, 93,294,319,249,287,206)
1866        ( 14,110, 44, 59,203, 86,155,166,248,229)( 15, 33,140,213, 53,181, 54,
1867         88, 20,169)( 16, 37,305,292,164,104,269, 32, 51,131)( 17,290, 85,336,
1868         254,241,146,172,280,182)( 18,332,341,291,261)( 19,162,152,145,193,
1869         255,158, 22,238,275)( 24, 96, 73,259,331,209,107,272,257, 99)
1870        ( 25, 95,101,219,139,217,178, 82,204,147)( 27,321,302,173,320,330,190,
1871         301, 38,210)( 29, 30, 67,168,130,136,138,335,316,102)
1872        ( 34,197, 78, 49,304,211,214, 42,246,223)( 39,132,276,262,189,184,315,
1873         119,284, 68)( 40,186,133,114,309,195,236, 74,222,260)
1874        ( 43,239,205,337, 62)( 45,191,148,108,116,170,179,126,311,286)
1875        ( 46,129,103,324,242, 89,328,113,150,105)( 47,277,106,283,298,180,323,
1876         57,325,314)( 50, 83,322,122,297,268,310,231,199,279)( 52,109,125,340,
1877         141,264,307, 58, 56, 70)( 55,212, 69,235,153,159,299,216,151,160)
1878        ( 61,285,250,265,187,233,124,175, 72,200)( 63,111,228,120,198, 94,161,
1879         224, 98,163)( 65,281,208, 81, 92,218,240,100,243,142)
1880        ( 76,226,244,317,230,339,154,135,237,112)(118,306,303,176,267)
1881        (137,177,221,194,266)(156,318,256,263,207),
1882      (  1,132,284,255,263,150,191,130,  6, 76,265, 45)(  2,336,171,210,198,
1883         330,182,221,288,257,299, 80)(  3,219,241, 17,135,167, 85,251,180,274,
1884         205, 23)(  4,269,220,133,104,249,101,246,213,119,177, 92)(  5,163)
1885        (  7,138,161, 65,227,327, 83,224,142, 42,239,323)(  8,240,283, 32,216,
1886         293,234,175,157,117,189, 90)(  9,183,278,134,118,226,139, 54,312,144,
1887         244, 88)( 10, 53,294, 22,148,114,243, 93,271,337,124,141)
1888        ( 11,111, 14,230,149,179, 35, 46,338, 31,162,156)( 12,159,143,202,102,
1889         81, 57,115,314, 79,158, 40)( 13, 62,282,290,321, 59,308, 16,318,192,
1890         245, 96)( 15,160, 75,199, 61,214, 68,297,298,306,256,203)
1891        ( 18,286, 63,109, 56,208, 74, 89, 47,333,273,260)( 19, 71,110, 51, 99,
1892         247, 25, 24,279,176,120,136)( 20,218,197,174,217,164,261,223,121,131,
1893         66,317)( 21,313,339,146)( 26, 34,267,289,332,262)( 27, 52,107,113,
1894          84,295,200,268,291,152,225, 64)( 28, 72,153, 55, 50, 95,281,103, 41,
1895         231,196,307)( 29,108, 91,266,168,242,106,222,340,185, 94,112)
1896        ( 30,166, 60,303,328,238, 98,250,259,280,264,322)( 33, 67,169, 37, 97,
1897         43)( 36,237,170,258, 87,235,181, 78,190,315, 70,341)( 38,145,204,140,
1898         129,137,105,188,285,116,309,128)( 39,125,304,154)( 44,215, 48,302,
1899         209,252,316,324, 86,277,207,229)( 49,287,236)( 58,292,326,127,301,
1900         100,300,195,187,320,311,319)( 69,184,334,194,172,151, 77, 82,126,270,
1901         329,123)( 73,212,193)(122,335,147,232,275,248,276,272,296,173,186,233
1902         )(155,253,178,201,331,305,325,211,254,165,228,310) ] ],
1903[3, Factorial(341)/2,1,"2",[[340,1]],339, "Alt(341)", ["A",341, 1], "Alt"],
1904[4, Factorial(341),0,"2",[[340, 1]],341, "Sym(341)", ["A",341, 1], "Sym"]];
1905PRIMGRP[342]:=
1906[[1, Factorial(342)/2,1,"2",[[341,1]],340, "Alt(342)", ["A",342, 1], "Alt"],
1907[2, Factorial(342),0,"2",[[341, 1]],342, "Sym(342)", ["A",342, 1], "Sym"]];
1908PRIMGRP[343]:=
1909[[ 1, 14224896, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
1910  "PSL(2, 7) wreath Alt(3)", [ "L", [ 2, 7 ], 3 ],
1911  [ (  1,170,315,230,257, 88,143)(  2,163,217,229,285,137,141, 22,317,314,209,
1912         61, 87,101,148,175,329,279,256, 95, 45)(  3,149,168,231,278,284,144,
1913          43, 23,310,216,208, 89,136, 99,169,322,328,258, 60, 94)
1914        (  4,191, 21,226,264,235,145, 36,121,309,223,306, 90,108, 50,171,301,
1915         181,259, 81,290)(  5,184,119,225,271,333,146,  8, 72,311,202,159, 91,
1916         129,246,172,343, 34,254, 67,241)(  6,156, 70,227,250,186,147, 29,268,
1917         312,244, 12, 86,115,197,173,336,132,253, 74,339)(  7,177,266,228,292,
1918         39,142, 15,219,313,237,110, 85,122,295,174,308, 83,255, 53,192)
1919        (  9, 65,213,201,187,140,127,267,319,342, 13, 58, 66,199,152,189,133,
1920         274,270,340, 48)( 10, 51,164,203,180,287,130,288, 25,338, 20,205, 68,
1921         234,103,183,126,323,272,305, 97)( 11, 93, 17,198,166,238,131,281,123,
1922         337, 27,303, 69,206, 54,185,105,176,273,326,293)( 14, 79,262,200,194,
1923         42,128,260,221,341, 41,107, 64,220,299,188,112, 78,269,298,195)
1924        ( 16,212,215,236,138,134,120,316,321,307, 62, 59, 52,150,154,182,280,
1925         277,291, 46, 44)( 18,240, 19,233,117,232,124,330,125,302, 76,304, 55,
1926         157, 56,178,252,179,294, 32,289)( 24,296,167,210, 82,283,102,190, 28,
1927         324,265,207, 96, 38,100,162,224,327,286,109, 92)( 26,331,118,204, 75,
1928         332,104,155, 77,325,251,158, 98, 31,247,165,245, 33,282,116,239)
1929        ( 30,261,214,243, 40,135,113,218,320,335,111, 57, 73,297,153,161, 84,
1930         276,249,193, 49)( 35,275,263,242, 47, 37,114,211,222,334,139,106, 71,
1931         318,300,160, 63, 80,248,151,196),
1932      (  1,170,308, 81,281,125,311,200,187,147, 31,247,160, 70,225,271,342,
1933          18,233,110, 94)(  2,156, 63, 78,267,321,312,235,138,143,  3,149,161,
1934         84,274,272,314,214,236,145, 45)(  4,184,112, 80,246,174,315,228,285,
1935         146, 17,198,159, 98, 29,268,307, 67,232,124,339)(  5,191, 14, 79,253,
1936         76,309,221,334,144, 38,100,157, 56,176,273,328,263,237,117,241)
1937        (  6,163,210, 82,288, 27,310,207, 89,141, 24,296,158, 91,127,269,300,
1938         165,238,131,290)(  7,177,259, 83,260,223,313,242, 40,142, 10, 51,155,
1939         77,323,270,335,116,234,103,192)(  8, 72,302, 74,330,123,332,102,185,
1940         105,178,252,181,266,230,264,244, 19,240, 12, 93)(  9, 58, 57, 71,316,
1941         319,333,137,136,101,150,154,182,280,279,265,216,215,243, 47, 44)
1942        ( 11, 86,106, 73,295,172,336,130,283,104,164,203,180,294, 34,261,209,
1943          68,239, 26,338)( 13, 65,204, 75,337, 25,331,109, 87, 99,171,301,179,
1944         287,132,262,202,166,245, 33,289)( 15,219,306, 95, 36,121,304, 53,183,
1945         126,325,249,188,119,227,250,195, 21,226,257, 97)( 16,205, 61, 92, 22,
1946         317,305, 88,134,122,297,151,189,133,276,251,167,217,229,292, 48)
1947        ( 20,212,208, 96, 43, 23,303, 60, 85,120,318,298,186,140,129,248,153,
1948         168,231,278,293)( 28,324,256, 90,113,220,299,193, 42,128,255, 55,162,
1949         224,327,291, 41,114,206, 54,190)( 30,254, 62, 64,218,320,340, 39,135,
1950         108, 52,148,175,329,277,286,118,213,201,194, 49)( 32,282,111, 66,197,
1951         173,343)( 35,275,258, 69,211,222,341, 46, 37,107, 59, 50,169,322,326,
1952         284,139,115,199,152,196) ] ],
1953[ 2, 28449792, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
1954  "PSL(2, 7) wreath Sym(3)", [ "L", [ 2, 7 ], 3 ],
1955  [ (  1,245,187,107, 81,262, 22,203,194,135, 60,276, 15,224,152,142, 88,255,
1956          29,217,173,100, 95,283,  8,231,166,121, 53,290, 36,210,180,114, 74,
1957         248, 43,238,159,128, 67,269)(  2, 98,185,  9, 84,164, 23, 56,192, 37,
1958         63,178, 16, 77,150, 44, 91,157, 30, 70,171)(  3, 49,189,156, 79, 66,
1959          24,  7,196,184, 58, 80, 17, 28,154,191, 86, 59, 31, 21,175,149, 93,
1960          87, 10, 35,168,170, 51, 94, 38, 14,182,163, 72, 52, 45, 42,161,177,
1961          65, 73)(  4,294,183,205, 82,115, 25,252,190,233, 61,129, 18,273,148,
1962         240, 89,108, 32,266,169,198, 96,136, 11,280,162,219, 54,143, 39,259,
1963         176,212, 75,101, 46,287,155,226, 68,122)(  5,147,186,254, 78,213, 26,
1964         105,193,282, 57,227, 19,126,151,289, 85,206, 33,119,172,247, 92,234,
1965          12,133,165,268, 50,241, 40,112,179,261, 71,199, 47,140,158,275, 64,
1966         220)(  6,343,188,303, 83,311, 27,301,195,331, 62,325, 20,322,153,338,
1967         90,304, 34,315,174,296, 97,332, 13,329,167,317, 55,339, 41,308,181,
1968         310, 76,297, 48,336,160,324, 69,318)( 99,242,285,106,228,264,120,200,
1969         292,134,207,278,113,221,250,141,235,257,127,214,271)(102,291,281,204,
1970         229,117,123,249,288,232,208,131,116,270,246,239,236,110,130,263,267,
1971         197,243,138,109,277,260,218,201,145,137,256,274,211,222,103,144,284,
1972         253,225,215,124)(104,340,286,302,230,313,125,298,293,330,209,327,118,
1973         319,251,337,237,306,132,312,272,295,244,334,111,326,265,316,202,341,
1974         139,305,279,309,223,299,146,333,258,323,216,320)(300,342,335,307,328,
1975         314,321), (  1,213, 99,234,148,241,246,206)(  2,215,100,236,149,243,
1976         247,208)(  3,211,101,232,150,239,248,204)(  4,214,102,235,151,242,
1977         249,207)(  5,212,103,233,152,240,250,205)(  6,216,104,237,153,244,
1978         251,209)(  7,217,105,238,154,245,252,210)(  8, 17,113,136,183,192,
1979         288,255)(  9, 19,114,138,184,194,289,257)( 10, 15,115,134,185,190,
1980         290,253)( 11, 18,116,137,186,193,291,256)( 12, 16,117,135,187,191,
1981         292,254)( 13, 20,118,139,188,195,293,258)( 14, 21,119,140,189,196,
1982         294,259)( 22,311,127, 87,169,339,274, 59)( 23,313,128, 89,170,341,
1983         275, 61)( 24,309,129, 85,171,337,276, 57)( 25,312,130, 88,172,340,
1984         277, 60)( 26,310,131, 86,173,338,278, 58)( 27,314,132, 90,174,342,
1985         279, 62)( 28,315,133, 91,175,343,280, 63)( 29, 66,120,332,176, 94,
1986         267,304)( 30, 68,121,334,177, 96,268,306)( 31, 64,122,330,178, 92,
1987         269,302)( 32, 67,123,333,179, 95,270,305)( 33, 65,124,331,180, 93,
1988         271,303)( 34, 69,125,335,181, 97,272,307)( 35, 70,126,336,182, 98,
1989         273,308)( 36,164,141,283,155, 45,260,108)( 37,166,142,285,156, 47,
1990         261,110)( 38,162,143,281,157, 43,262,106)( 39,165,144,284,158, 46,
1991         263,109)( 40,163,145,282,159, 44,264,107)( 41,167,146,286,160, 48,
1992         265,111)( 42,168,147,287,161, 49,266,112)( 50,220,295,227)
1993        ( 51,222,296,229)( 52,218,297,225)( 53,221,298,228)( 54,219,299,226)
1994        ( 55,223,300,230)( 56,224,301,231)( 71,318,323, 80)( 72,320,324, 82)
1995        ( 73,316,325, 78)( 74,319,326, 81)( 75,317,327, 79)( 76,321,328, 83)
1996        ( 77,322,329, 84)(197,199)(198,201) ] ],
1997[ 3, 48009024000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
1998  "Alt(7) wreath Alt(3)", [ "A", 7, 3 ],
1999  [ (  1,291, 89,  9,244,103, 18, 94,306, 34,141,264, 38,338,229)
2000        (  2,242, 54, 11, 97,110, 20,143,313, 31,337,278, 36,289,236)
2001        (  3,340, 82,  8,293,138, 16,241,299, 32, 92,257, 41,142,215)
2002        (  4, 95, 61, 13,146,117, 17,339,327, 29,288,285, 37,240,201)
2003        (  5, 46, 96, 12, 48,145, 19, 45,341, 33, 43,292, 40, 44,243)
2004        (  6,144, 68, 10,342,131, 15,290,334, 30,239,250, 39, 93,208)
2005        (  7,193, 75, 14,195,124, 21,192,320, 35,190,271, 42,191,222)
2006        ( 22,294,187, 23,245,152, 25, 98,159, 27,147,166, 24,343,180)
2007        ( 26, 49,194)( 28,196,173)( 50,256, 90,107,216,101,312, 80,302,279,
2008         134,261,234,296,228)( 51,207, 55,109, 69,108,314,129,309,276,330,275,
2009         232,247,235)( 52,305, 83,106,265,136,310,227,295,277, 85,254,237,100,
2010         214)( 53, 60, 62,111,118,115,311,325,323,274,281,282,233,198,200)
2011        ( 56,158, 76,112,167,122,315,178,316,280,183,268,238,149,221)
2012        ( 57,258,139,114,213,297,326, 78,253,286,135,212,199,298, 81)
2013        ( 58,209,104,116, 66,304,328,127,260,283,331,226,197,249, 88)
2014        ( 59,307,132,113,262,332,324,225,246,284, 86,205,202,102, 67)
2015        ( 63,160,125,119,164,318,329,176,267,287,184,219,203,151, 74)
2016        ( 64,255,335,128,211,248,333, 79,204,251,137, 65,206,300,130)
2017        ( 70,157,321,133,162,269,336,177,218,252,186, 72,210,153,123)
2018        ( 71,259,188,121,217,150,319, 84,155,272,140,163,220,301,179)
2019        ( 73,308,181,120,266,185,317,231,148,270, 91,156,223,105,165)
2020        ( 77,161,174,126,168,171,322,182,169,273,189,170,224,154,172)
2021        ( 87,303,230, 99,263),
2022      (  1,258,222,133, 65,339, 36,256,173,105, 69,241, 29,254,320,140, 67,192
2023         )(  2,307,236,130,163,297, 41,207,180,100,314,234, 32,156,299,139,
2024         214,178)(  3, 13,208,131,114,311, 38, 11,159,103,118,213, 31,  9,306,
2025         138,116,164)(  4,160,201,132,212,325, 37,305,187,102,167,199, 34,205,
2026         327,135,312,185)(  5,111,215,129, 16,304, 40,109,166,101, 20,206, 33,
2027         107,313,136, 18,157)(  6,209,229,128,310,332, 39,158,152,104,216,227,
2028         30,303,334,137,165,150)(  7, 62,243,127,261,318, 42, 60,194, 99,265,
2029         220, 35, 58,341,134,263,171)(  8,257,124,119, 66, 45)
2030        ( 10, 12,110,117,115, 17)( 14, 61,145,113,262, 24)( 15,255, 26,112,
2031          68,143)( 19,108)( 21, 59, 47,106,264,122)( 22,259, 75,147, 64,290)
2032        ( 23,308, 89,144,162,248, 27,210, 82,142,309,283, 25,161, 54,146,211,
2033         276)( 28, 63, 96,141,260,269)( 43,253,271,126, 70, 94)
2034        ( 44,302,285,123,168, 52, 48,204,278,121,315, 87, 46,155,250,125,217,
2035          80)( 49, 57,292,120,266, 73)( 50,293,218,280, 72,343, 85,291,169,
2036         252, 76,245, 78,289,316,287, 74,196)( 51,342,232,277,170,301, 90,242,
2037         176,247,321,238, 81,191,295,286,221,182)( 53,195,197,279,219,329, 86,
2038         340,183,249,174,203, 83,240,323,282,319,189)( 55,244,225,275,317,336,
2039         88,193,148,251,223,231, 79,338,330,284,172,154)( 56, 97,239,274,268,
2040         322, 91, 95,190,246,272,224, 84, 93,337,281,270,175)( 71,294)
2041        ( 77, 98, 92,288,267,273)(149,300,237,228,177,296,335,235,179)
2042        (151,153,202,230,226,324,331,333,186)(181,198,328,233,326,184,298,188,
2043         200) ] ],
2044[ 4, 96018048000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2045  "Alt(7)^3.6", [ "A", 7, 3 ],
2046  [ (  1,291,324,203,258,163,103,281, 93,297,273,  9,151,278,233, 55,262,121)
2047        (  2,249,275,198,251,261,100,246,289,296,252,254,149,250,282, 51,248,
2048         268)(  3,270, 30,200,279,212,104,260,142,295,294,303,154,257,184, 54,
2049         283, 72)(  4,277,226,202,265,114, 99,288,338,301,259,156,152,285, 86,
2050         52,269, 23)(  5,284, 79,199,272, 16,102,274,240,300,266,107,148,292,
2051         331, 56,255,170)(  6,263,128,197,293,310,105,253,191,299,287, 58,150,
2052         271, 37, 53,276,219)(  7,256,177,201,286, 65,101,267, 44,298,280,205,
2053         153,264,135, 50,290,317)(  8,193,327,238, 62,164,124, 36, 95,325,224,
2054         13,165,131,232, 97,311,126)( 10,172, 33,235, 83,213,125, 15,144,323,
2055         245,307,168,110,183, 96,332, 77)( 11,179,229,237, 69,115,120, 43,340,
2056         329,210,160,166,138, 85, 94,318, 28)( 12,186, 82,234, 76, 17,123, 29,
2057         242,328,217,111,162,145,330, 98,304,175)( 14,158,180,236, 90, 66,122,
2058         22, 46,326,231,209,167,117,134, 92,339,322)( 18,130,225,244,314,119,
2059         106,190,341,336, 63,157,173, 40, 88, 80,220, 27)( 19,137, 78,241,321,
2060         21,109,176,243,335, 70,108,169, 47,333, 84,206,174)( 20,116,127,239,
2061         342,315,112,155,194,334, 91, 59,171, 26, 39, 81,227,223)
2062        ( 24, 25, 32,228,230,216,118,113,141,337,343,308,161,159,187, 89, 87,
2063          73)( 31,221, 34,214,132,211,146,309,147,302,196,306,189, 61,185, 75,
2064         38, 74)( 35,207,181,215,139, 64,143,316, 49,305,182,208,188, 68,136,
2065          71, 45,319)( 41, 67,129,218, 48,312,133,204,195,313,140, 57,192,320,
2066         42, 60,178,222), (  1,202,207,326,177,169, 50,199,242,130,182,183,
2067         246,201,214, 32,181,155,295,198,221, 81,178,190, 99,203,235,277,180,
2068         162)(  2,223, 60,325,191,120, 56,234,291,131,168, 36,251,208,312, 30,
2069         174, 57,297,240,123, 84,185,288,103,217, 39,279,159,309)
2070        (  3,244,109,329,184,267, 54,213, 46,132,161,330,247,222, 67, 31,195,
2071         106,301,233,270, 82,164, 43,104,210,333,275,173, 64)(  4,230,158,323,
2072         149,218, 53,227,193,127,154,232,249,229,165, 29,153,204,298,226,172,
2073          78,150,239,102,231,186,274,152,211)(  5,216, 11,328,156,316, 51,220,
2074         95,129,196,134,252,236,263, 33,167,  8,300,205,319, 79,171, 92,101,
2075         245,137,280,187,260)(  6,209,305,324,170, 71, 52,241,144,133,189,281,
2076         250,215, 18, 34,160,302,296,219, 74, 80,192,141,105,238,284,278,166,
2077          15)(  7,237,256,327,163, 22, 55,206,340,128,175, 85,248,243,116, 35,
2078         188,253,299,212, 25, 83,157,337,100,224, 88,276,194,113)
2079        (  9,321, 58,318, 93,122, 98,136,294,138,266, 40,265, 12,314)
2080        ( 10,342,107,322, 86,269, 96,115, 49,139,259,334,261, 26, 69)
2081        ( 13,307,303,317, 72, 73, 94,143,147,140,287,285,264, 19, 20)
2082        ( 14,335,254,320, 65, 24, 97,108,343,135,273, 89,262, 47,118)
2083        ( 16, 27, 62,304,338,121, 77, 87,290,145,119, 42,286,257,313)
2084        ( 17, 48,111,308,331,268, 75, 66, 45,146,112,336,282,271, 68)
2085        ( 21, 41,258,306,310, 23, 76, 59,339,142,126, 91,283,292,117)
2086        ( 28, 90,255,341,114)( 37,272, 61,311, 44,125, 63,332,289,124, 70, 38,
2087         293,110,315)(148,197,200,228,179,176)(151,225) ] ],
2088[ 5, 96018048000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2089  "Alt(7) wreath Sym(3)", [ "A", 7, 3 ],
2090  [ (  1, 33,201,231,105,132,153,178,297,326,249,275, 51, 78)(  2, 82,197, 35,
2091         103,230,154,129,300,179,248,324, 53,274)(  3,327,200,280,100, 83,148,
2092         31,299,228,252,128, 55,176)(  4,278,198, 84, 99, 34,152,227,301,130,
2093         251,177, 52,323)(  5,229,203,133,104,181,150,325,298,277,247, 79, 50,
2094         29)(  6,180,199,329,102,279,149, 80,295, 32,250,226, 56,127)
2095        (  7,131,202,182,101,328,151,276,296, 81,246, 30, 54,225)
2096        (  8, 19,236,210,119,139,160,164,332,305,263,282, 58, 64, 36, 12,215,
2097         238,112,118,188,157,311,333,256,261, 86, 57, 15, 40,208,217,140,111,
2098         167,185,304,312,284,254, 65, 85)(  9, 68,232, 14,117,237,161,115,335,
2099         158,262,331, 60,260, 37, 61,211, 42,110,216,189,108,314,186,255,310,
2100          88,253, 16, 89,204, 21,138,209,168,136,307,165,283,303, 67,281)
2101        ( 10,313,235,259,114, 90,155, 17,334,207,266,135, 62,162, 38,306,214,
2102         287,107, 69,183)( 11,264,233, 63,113, 41,159,213,336,109,265,184, 59,
2103         309, 39,257,212, 91,106, 20,187,206,315,137,258,163, 87,302, 18,285,
2104         205, 70,134, 13,166,234,308,116,286,156, 66,330)( 22, 47,222,245,126,
2105         146,174,192,318,340,270,289, 72, 92)( 23, 96,218, 49,124,244,175,143,
2106         321,193,269,338, 74,288)( 24,341,221,294,121, 97,169, 45,320,242,273,
2107         142, 76,190)( 25,292,219, 98,120, 48,173,241,322,144,272,191, 73,337)
2108        ( 26,243,224,147,125,195,171,339,319,291,268, 93, 71, 43)
2109        ( 27,194,220,343,123,293,170, 94,316, 46,271,240, 77,141)
2110        ( 28,145,223,196,122,342,172,290,317, 95,267, 44, 75,239),
2111      (  1, 86,181,220,145,309,  2, 90,178,222,141,310,  6, 87,180,218,142,
2112         314,  3, 89,176,219,146,311,  5, 85,177,223,143,313)(  4, 88,179,221,
2113         144,312)(  7, 91,182,224,147,315)(  8,282,160,269,110,260,  9,286,
2114         157,271,106,261, 13,283,159,267,107,265, 10,285,155,268,111,262, 12,
2115         281,156,272,108,264)( 11,284,158,270,109,263)( 14,287,161,273,112,266
2116         )( 15, 37,188,171,124,113, 16, 41,185,173,120,114, 20, 38,187,169,
2117         121,118, 17, 40,183,170,125,115, 19, 36,184,174,122,117)
2118        ( 18, 39,186,172,123,116)( 21, 42,189,175,126,119)( 22,135,167, 24,
2119         138,162, 23,139,164, 26,134,163, 27,136,166)( 25,137,165)
2120        ( 28,140,168)( 29,233,195,318,103, 64, 30,237,192,320, 99, 65, 34,234,
2121         194,316,100, 69, 31,236,190,317,104, 66, 33,232,191,321,101, 68)
2122        ( 32,235,193,319,102, 67)( 35,238,196,322,105, 70)( 43,331,153, 73,
2123         131,211, 44,335,150, 75,127,212, 48,332,152, 71,128,216, 45,334,148,
2124          72,132,213, 47,330,149, 76,129,215)( 46,333,151, 74,130,214)
2125        ( 49,336,154, 77,133,217)( 50, 79,230,241,341,295, 51, 83,227,243,337,
2126         296, 55, 80,229,239,338,300, 52, 82,225,240,342,297, 54, 78,226,244,
2127         339,299)( 53, 81,228,242,340,298)( 56, 84,231,245,343,301)
2128        ( 57,275,209,290,306,246, 58,279,206,292,302,247, 62,276,208,288,303,
2129         251, 59,278,204,289,307,248, 61,274,205,293,304,250)( 60,277,207,291,
2130         305,249)( 63,280,210,294,308,252)( 92,324,202, 94,327,197, 93,328,
2131         199, 96,323,198, 97,325,201)( 95,326,200)( 98,329,203)
2132        (253,254,258,255,257) ] ],
2133[ 6, 96018048000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2134  "Alt(6)^3.Sym(3)", [ "A", 7, 3 ],
2135  [ (  1, 44,244,206, 57, 72,272,262,162,177,328,332,134,100,  6, 45,239,205,
2136          62, 73,267,261,167,178,323,331,139,101)(  2, 48,241,204, 58, 76,269,
2137         260,163,181,325,330,135,104,  3, 43,240,209, 59, 71,268,265,164,176,
2138         324,335,136, 99)(  4, 47,245,207, 61, 77,270,264,168,179,327,336,137,
2139         103,  7, 46,243,210, 60, 75,273,263,166,182,326,334,140,102,  5, 49,
2140         242,208, 63, 74,271,266,165,180,329,333,138,105)(  8, 93,223,255, 64,
2141         170,279,311,183,128,300, 38,141,198, 13, 94,218,254, 69,171,274,310,
2142         188,129,295, 37,146,199)(  9, 97,220,253, 65,174,276,309,184,132,297,
2143         36,142,202, 10, 92,219,258, 66,169,275,314,185,127,296, 41,143,197)
2144        ( 11, 96,224,256, 68,175,277,313,189,130,299, 42,144,201, 14, 95,222,
2145         259, 67,173,280,312,187,133,298, 40,147,200, 12, 98,221,257, 70,172,
2146         278,315,186,131,301, 39,145,203)( 15,191,230,304, 85,121,251, 17,190,
2147         226,307, 87,120,247, 20,192,225,303, 90,122,246, 16,195,227,302, 86,
2148         125,248)( 18,194,231,305, 89,126,249, 19,196,228,306, 91,123,250, 21,
2149         193,229,308, 88,124,252)( 22,289,216,157, 78,317,286,115,148, 30,342,
2150         234,106, 51, 27,290,211,156, 83,318,281,114,153, 31,337,233,111, 52)
2151        ( 23,293,213,155, 79,321,283,113,149, 34,339,232,107, 55, 24,288,212,
2152         160, 80,316,282,118,150, 29,338,237,108, 50)( 25,292,217,158, 82,322,
2153         284,117,154, 32,341,238,109, 54, 28,291,215,161, 81,320,287,116,152,
2154          35,340,236,112, 53, 26,294,214,159, 84,319,285,119,151, 33,343,235,
2155         110, 56), (  1,130, 54,118,341,163,330,226, 91,209, 49,158)
2156        (  2,137,201,119,306, 16,333,198,140,208, 21,305)(  3,123,250,115,320,
2157         261,332,219,287,206, 28,256)(  4,102,103,117,313,310,331,233,238,210,
2158         14, 11)(  5,116,299,114,334,212,336,205, 42,207,  7,109)
2159        (  6,144,152,113,327, 65,335,240,189,204, 35, 60)(  8, 32, 53,104,145,
2160         166,309,324, 86,237,245,161)(  9, 39,200,105,110, 19,312,296,135,236,
2161         217,308)( 10, 25,249,101,124,264,311,317,282,234,224,259)
2162        ( 12, 18,298,100,138,215,315,303, 37,235,203,112)( 13, 46,151, 99,131,
2163         68,314,338,184,232,231, 63)( 15,326, 51,139,243,168,302, 30, 88,202,
2164         147,159)( 17,319,247,136,222,266,304, 23,284,199,126,257)
2165        ( 20,340,149,134,229, 70,307, 44,186,197,133, 61)( 22,277, 52,125,292,
2166         164,316,275, 87,223,294,157)( 24,270,248,122,271,262,318,268,283,220,
2167         273,255)( 26,263,297,121,285,213,322,254, 38,221,252,108)
2168        ( 27,291,150,120,278, 66,321,289,185,218,280, 59)( 29, 81, 55,146,194,
2169         162,323, 79, 90,244,196,155)( 31, 74,251,143,173,260,325, 72,286,241,
2170         175,253)( 33, 67,300,142,187,211,329, 58, 41,242,154,106)
2171        ( 34, 95,153,141,180, 64,328, 93,188,239,182, 57)( 36,228, 56,111, 47,
2172         165,295,128, 89,216,343,156)( 40,214,301,107)( 43,179, 50,132, 96,
2173         167,337,177, 85,230, 98,160)( 45,172,246,129, 75,265,339,170,281,227,
2174         77,258)( 48,193,148,127, 82, 69,342,191,183,225, 84, 62)
2175        ( 71,279, 94,174,288,178)( 73,272,290,171,267,276)( 76,293,192,169,
2176         274, 80)( 78, 83, 97,195,190,176)( 92,181) ] ],
2177[ 7, 192036096000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2178  "Alt(7)^3.Alt(4)", [ "A", 7, 3 ],
2179  [ (  1,228,  7, 81, 21, 79,168, 58,162,205,148,207)(  2,179, 14, 78,217, 51,
2180         165,  9,176,210, 50,214)(  3,130, 49, 83,315, 72,164,107,190,209,295,
2181         221)(  4, 32, 35, 84, 70, 65,163,156,155,204,197,200)
2182        (  5,277, 42, 82,266, 86,166,254,183,208,246,235)(  6,326, 28, 80,119,
2183         93,167,303,169,206, 99,242)(  8,225,203, 53, 18, 30,182, 63, 64,212,
2184         149,158)( 10,127,245, 55,312, 23,178,112, 92,216,296,172)
2185        ( 11, 29,231, 56, 67, 16,177,161, 57,211,198,151)( 12,274,238, 54,263,
2186         37,180,259, 85,215,247,186)( 13,323,224, 52,116, 44,181,308, 71,213,
2187         100,193)( 15,226,154, 60)( 17,128,196, 62,309,219,150,109, 43,230,
2188         301, 74)( 19,275,189, 61,260,233,152,256, 36,229,252, 88)
2189        ( 20,324,175, 59,113,240,153,305, 22,227,105, 95)( 24,129,147, 97,314,
2190         317,171,108,141,244,300,319)( 25, 31,133, 98, 69,310,170,157,106,239,
2191         202,298)( 26,276,140, 96,265,331,173,255,134,243,251,333)
2192        ( 27,325,126, 94,118,338,174,304,120,241,104,340)( 33,280, 91, 68,261,
2193         184,159,253,232,201,249, 39)( 34,329, 77, 66,114,191,160,302,218,199,
2194         102, 46)( 38,131,294, 90,313,268,185,110,288,237,299,270)
2195        ( 40,278,287, 89,264,282,187,257,281,236,250,284)( 41,327,273, 87,117,
2196         289,188,306,267,234,103,291)( 45,132,343, 76,311,121,192,111,337,223,
2197         297,123)( 47,279,336, 75,262,135,194,258,330,222,248,137)
2198        ( 48,328,322, 73,115,142,195,307,316,220,101,144)(122,143,146,342,321,
2199         318)(124,290,139,341,272,332)(125,339)(136,145,293,335,320,269)
2200        (138,292,286,334,271,283),
2201      (  1, 89,114, 45, 50,138, 16, 94, 99, 40, 65,143)(  2, 87,113, 47, 51,
2202         136, 15, 96,100, 38, 64,145)(  3, 85,117, 44, 52,134, 19, 93,101, 36,
2203         68,142)(  4, 88,116, 46, 53,137, 18, 95,102, 39, 67,144)
2204        (  5, 86,115, 43, 54,135, 17, 92,103, 37, 66,141)(  6, 90,118, 48, 55,
2205         139, 20, 97,104, 41, 69,146)(  7, 91,119, 49, 56,140, 21, 98,105, 42,
2206         70,147)(  8, 61,107, 10, 57,110,  9, 59,106, 12, 58,108)( 11, 60,109)
2207        ( 13, 62,111)( 14, 63,112)( 22, 75,121, 24, 71,124, 23, 73,120, 26,
2208          72,122)( 25, 74,123)( 27, 76,125)( 28, 77,126)( 29, 82,128, 31, 78,
2209         131, 30, 80,127, 33, 79,129)( 32, 81,130)( 34, 83,132)( 35, 84,133)
2210        (148,334,261,192,295,285,163,339,246,187,310,290)(149,332,260,194,296,
2211         283,162,341,247,185,309,292)(150,330,264,191,297,281,166,338,248,183,
2212         313,289)(151,333,263,193,298,284,165,340,249,186,312,291)
2213        (152,331,262,190,299,282,164,337,250,184,311,288)(153,335,265,195,300,
2214         286,167,342,251,188,314,293)(154,336,266,196,301,287,168,343,252,189,
2215         315,294)(155,306,254,157,302,257,156,304,253,159,303,255)
2216        (158,305,256)(160,307,258)(161,308,259)(169,320,268,171,316,271,170,
2217         318,267,173,317,269)(172,319,270)(174,321,272)(175,322,273)
2218        (176,327,275,178,323,278,177,325,274,180,324,276)(179,326,277)
2219        (181,328,279)(182,329,280)(197,236,212,241)(198,234,211,243)
2220        (199,232,215,240)(200,235,214,242)(201,233,213,239)(202,237,216,244)
2221        (203,238,217,245)(204,208,205,206)(218,222,219,220)(225,229,226,227)
2222     ] ],
2223[ 8, 192036096000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2224  "Alt(7)^3 wreath D_12", [ "A", 7, 3 ],
2225  [ (  1,337, 64, 22,190, 85,218,176,134,204,274, 99,302,260)(  2,343, 68, 27,
2226         192, 88,219,182,138,209,276,102,303,266,  5,342, 66, 25,191, 91,222,
2227         181,136,207,275,105,306,265,  3,340, 65, 28,194, 90,220,179,135,210,
2228         278,104,304,263)(  4,338, 70, 26,195, 87,221,177,140,208,279,101,305,
2229         261,  7,341, 69, 24,193, 86,224,180,139,206,277,100,308,264,  6,339,
2230          67, 23,196, 89,223,178,137,205,280,103,307,262)(  8,288, 50,316,162,
2231         36,239, 78,120,155,281,197,323,113)(  9,294, 54,321,164, 39,240, 84,
2232         124,160,283,200,324,119, 12,293, 52,319,163, 42,243, 83,122,158,282,
2233         203,327,118, 10,291, 51,322,166, 41,241, 81,121,161,285,202,325,116)
2234        ( 11,289, 56,320,167, 38,242, 79,126,159,286,199,326,114, 14,292, 55,
2235         318,165, 37,245, 82,125,157,284,198,329,117, 13,290, 53,317,168, 40,
2236         244, 80,123,156,287,201,328,115)( 15, 43, 92, 71,169,183,232,225,127,
2237         106,253,246,295,309)( 16, 49, 96, 76,171,186,233,231,131,111,255,249,
2238         296,315, 19, 48, 94, 74,170,189,236,230,129,109,254,252,299,314, 17,
2239          46, 93, 77,173,188,234,228,128,112,257,251,297,312)( 18, 44, 98, 75,
2240         174,185,235,226,133,110,258,248,298,310, 21, 47, 97, 73,172,184,238,
2241         229,132,108,256,247,301,313, 20, 45, 95, 72,175,187,237,227,130,107,
2242         259,250,300,311)( 29,141, 57,267,148,330,211)( 30,147, 61,272,150,
2243         333,212, 35,145, 62,269,151,331,217, 33,146, 59,270,149,336,215, 34,
2244         143, 60,268,154,334,216, 31,144, 58,273,152,335,213, 32,142, 63,271,
2245         153,332,214), (  1,203,229,138,184,195, 69, 18, 14,280,127,100,240,
2246          96, 88,158,258,260)(  2,245, 82,137,156,293, 64,  4,210,278,134,149,
2247         244, 68, 39,161,279,113)(  3,224,327,136,170,342, 66, 25,308,276,120,
2248         296,241, 75,333,157,272,309)(  5,238,180,139,163, 48, 70, 32,112,275,
2249         141, 51,242, 61,284,155,251,211)(  6,217, 33,140,177,146, 65, 46, 63,
2250         277,106,247,239, 54,235,159,286,162)(  7,231,131,135,191, 97, 67, 11,
2251         259,274, 99,198,243, 89,186,160,265, 15)(  8,252,225,103,233,194, 90,
2252         165, 13,266, 29,105,226,145, 86,193, 62,263)(  9,294, 78,102,205,292,
2253         85,151,209,264, 36,154,230,117, 37,196, 83,116)( 10,273,323,101,219,
2254         341, 87,172,307,262, 22,301,227,124,331,192, 76,312)( 12,287,176,104,
2255         212, 47, 91,179,111,261, 43, 56,228,110,282,190, 55,214)
2256        ( 16, 49, 84,130,107,289, 92, 53,207,257,281,148,202,215, 40,189,181,
2257         118)( 17, 28,329,129,121,338, 94, 74,305,255,267,295,199,222,334,185,
2258         174,314)( 19, 42,182,132,114, 44, 98, 81,109,254,288, 50,200,208,285,
2259         183,153,216)( 20, 21, 35,133,128,142, 93, 95, 60,256,253,246,197,201,
2260         236,187,188,167)( 23,343, 80,123,303,290, 71,298,206,271,330,150,223,
2261         313, 38,175,328,115)( 24,322,325,122,317,339, 73,319,304,269,316,297,
2262         220,320,332,171,321,311)( 26,336,178,125,310, 45, 77,326,108,268,337,
2263         52,221,306,283,169,300,213)( 27,315, 31,126,324,143, 72,340, 59,270,
2264         302,248,218,299,234,173,335,164)( 30,147, 79,144, 58,291, 57,249,204,
2265         250,232,152,237,166, 41,168, 34,119) ] ],
2266[ 9, 384072192000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2267  "Sym(7) wreath Alt(3)", [ "A", 7, 3 ],
2268  [ (  1,  3,248,276,279,230,244,239, 43)(  2,101,255,278,181,223,245, 92, 15)
2269        (  4,297,283,277,328,237,242,337, 36)(  5,150,269,280, 83,216,240,141,
2270         8)(  6,199,290,274, 34,202,241,288, 29)(  7, 52,262,275,132,209,243,
2271         190, 22)(  9,103,157,271,182, 76,217, 93,113)( 10,250,178,272,231,
2272          97,211, 44, 99)( 11,299,185,270,329, 90,214,338,134)
2273        ( 12,152,171,273, 84, 69,212,142,106)( 13,201,192,267, 35, 55,213,289,
2274         127)( 14, 54,164,268,133, 62,215,191,120)( 16,100,108,257,180,174,
2275         224, 98, 64)( 17,247,129,258,229,195,218, 49, 50)( 18,296,136,256,
2276         327,188,221,343, 85)( 19,149,122,259, 82,167,219,147, 57)
2277        ( 20,198,143,253, 33,153,220,294, 78)( 21, 51,115,254,131,160,222,196,
2278         71)( 23,105, 59,264,177,125,210, 96,162)( 24,252, 80,265,226,146,204,
2279         47,148)( 25,301, 87,263,324,139,207,341,183)( 26,154, 73,266, 79,118,
2280         205,145,155)( 27,203, 94,260, 30,104,206,292,176)( 28, 56, 66,261,
2281         128,111,208,194,169)( 31,251,227,293,225, 48,197, 45,246)
2282        ( 32,300,234,291,323, 41,200,339,281)( 37,102,304,285,179,321,238, 95,
2283         309)( 38,249,325,286,228,342,232, 46,295)( 39,298,332,284,326,335,
2284         235,340,330)( 40,151,318,287, 81,314,233,144,302)( 42, 53,311,282,
2285         130,307,236,193,316)( 58,117,156,124,161, 75,168, 72,119)
2286        ( 60,313,184,123,308, 89,165,317,140)( 61,166,170,126, 63, 68,163,121,
2287         112)( 65,114,107,110,159,173,175, 77, 70)( 67,310,135,109,306,187,
2288         172,322, 91)( 74,315, 86,116,303,138,158,320,189)( 88,312,331,137,
2289         305,334,186,319,336),
2290      (  1,295,323,329,133,140,139,188,167,166,264,292,289, 44,  2)
2291        (  3, 50,316,326,231,112,136, 90,174,165,215,257,290, 93, 23,  4,197,
2292         302,325, 84,126,137,237,160,164, 68,271,291,240,  9)(  5,246,337,324,
2293         35,105,134,335,181,168,117,285,293,191, 16)(  6,148,309,327,280,147,
2294         135, 41,153,162,313,278,294,142, 37)(  7, 99,330,328,182,119,138,286,
2295         195,163, 19,250,288,338, 30)(  8,297, 78,322,130,238,111,185, 69,173,
2296         263,243,254, 45, 51, 22,298,225,308,129, 91,125,186,216,159,262, 96,
2297         268, 46,198)( 10, 52, 71,319,228,210,108, 87, 76,172,214,208,255, 94,
2298         72, 25,200,204,304, 80, 77,123,235,209,157, 66, 75,270,242,205)
2299        ( 11,199, 57,318, 81,224,109,234, 62,171, 67,222,256,241, 58, 24, 53,
2300         218,305,227, 63,122, 88,223,158,213, 61,269, 95,219)( 12,248, 92,317,
2301         32,203,106,332, 83,175,116,236,258,192, 65, 26,249,239,303, 31, 56,
2302         120,333,230,161,115, 89,272,193,212)( 13,150, 64,320,277,245,107, 38,
2303         55,169,312,229,259,143, 86, 27,151,211,306,276, 98,121, 39,202,155,
2304         311, 82,273,144,233)( 14,101, 85,321,179,217,110,283, 97,170, 18,201,
2305         253,339, 79, 28,102,232,307,178, 70,124,284,244,156, 17, 54,267,340,
2306         226)( 15,299,274,343,128, 42,104,183,314,180,266,145,282, 48,149)
2307        ( 20,152,260,341,275, 49,100, 36,300,176,315,131,287,146,184)
2308        ( 21,103,281,342,177)( 29,301,127,336,132,189,118,187,265,194,261, 47,
2309         247, 43,296)( 33,252,141,331, 34,154,113,334,279,196,114, 40,251,190,
2310         310)( 59, 73, 74,221,207,206)( 60,220) ] ],
2311[ 10, 384072192000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2312  "Alt(7)^3.Sym(4)", [ "A", 7, 3 ],
2313  [ (  1,292,233, 69,319,127,252, 44, 89,214,125,329)(  2, 96,235,118,322, 29,
2314         250,240, 90,312,120,280)(  3,194,234,167,318,176,248,191, 87,165,122,
2315         182)(  4,145,238, 20,320,225,251,338, 85,263,121, 84)
2316        (  5,243,237,314,316,274,247, 93, 88,116,126, 35)(  6,341,232,265,317,
2317         78,249,142, 91, 18,124,231)(  7, 47,236,216,321,323,246,289, 86, 67,
2318         123,133)(  8,257,205, 62,305,106,259,  9, 61,207,111,308)
2319        ( 10,159,206,160,304,155,255,156, 59,158,108,161)( 11,110,210, 13,306,
2320         204,258,303, 57,256,107, 63)( 12,208,209,307,302,253,254, 58, 60,109,
2321         112, 14)( 15,271,226, 55,340,134,266, 23, 82,200,146,336)
2322        ( 16, 75,228,104,343, 36,264,219, 83,298,141,287)( 17,173,227,153,339,
2323         183,262,170, 80,151,143,189)( 19,222,230,300,337,281,261, 72, 81,102,
2324         147, 42)( 21, 26,229,202,342,330,260,268, 79, 53,144,140)
2325        ( 22,278,198, 97,333,113,273, 30, 54,242,139,315)( 24,180,199,195,332,
2326         162,269,177, 52,193,136,168)( 25,131,203, 48,334,211,272,324, 50,291,
2327         135, 70)( 27,327,197,293,331, 64,270,128, 56, 46,138,217)
2328        ( 28, 33,201,244,335,309,267,275, 51, 95,137,119)( 31,152,241,188,311,
2329         169,276,149, 94,186,115,175)( 32,103,245, 41,313,218,279,296, 92,284,
2330         114, 77)( 34,299,239,286,310, 71,277,100, 98, 39,117,224)
2331        ( 37, 68,221,132,301, 43,285,212, 76,326, 99,294)( 38,166,220,181,297,
2332         190,283,163, 73,179,101,196)( 40,215,223,328,295,288,282, 65, 74,130,
2333         105, 49)( 45,187,213,174,325,148,290,184, 66,172,129,154)
2334        (150,192,185,164,171,178),
2335      (  1, 13,106, 22, 11,155, 15,  9,253, 36, 10,204, 43, 14,302)
2336        (  2,258,134, 24,207,190, 21,303,246, 41,108,218, 46,161,309)
2337        (  3,209,141, 28,305,148, 20,107,267, 39,157,211, 44,259,330)
2338        (  4,160,113, 23,256,183, 17,205,288, 42,304,197, 48,112,316)
2339        (  5, 62,127, 26, 60,176, 19, 58,274, 40, 59,225, 47, 63,323)
2340        (  6,111,120, 25,158,162, 16,254,281, 38,206,239, 49,308,295)
2341        (  7,307, 99, 27,109,169, 18,156,260, 37,255,232, 45,210,337)
2342        ( 12, 57, 29)( 30,257, 85, 31,208, 92, 35,306, 50, 34,110, 71, 32,159,
2343         64)( 33, 61, 78)( 51,279,138, 73,228,194, 70,324,250, 90,129,222, 95,
2344         182,313)( 52,230,145, 77,326,152, 69,128,271, 88,178,215, 93,280,334)
2345        ( 53,181,117, 72,277,187, 66,226,292, 91,325,201, 97,133,320)
2346        ( 54, 83,131, 75, 81,180, 68, 79,278, 89, 80,229, 96, 84,327)
2347        ( 55,132,124, 74,179,166, 65,275,285, 87,227,243, 98,329,299)
2348        ( 56,328,103, 76,130,173, 67,177,264, 86,276,236, 94,231,341)
2349        (100,272,137,171,214,191,266,331,248,237,143,224,340,154,314)
2350        (101,223,144,175,312,149,265,135,269,235,192,217,338,252,335)
2351        (102,174,116,170,263,184,262,233,290,238,339,203,342,105,321)
2352        (104,125,123,172,165,163,261,282,283,234,241,245,343,301,300)
2353        (114,268,284,185,213,240,294,336,297,202,146,126,319,151,167)
2354        (115,219,291,189,311,198,293,140,318,200,195,119,317,249,188)
2355        (118,121,270,186,164,212,289,287,332,199,244,147,322,298,153)
2356        (122,221,193,168,310,247,286,136,220,242,196,315,296,251,139)
2357        (142,273,333,150,216) ] ],
2358[ 11, 384072192000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2359  "Alt(7)^3.Sym(4)", [ "A", 7, 3 ],
2360  [ (  1,  5, 33,131,132,146,244,240,233, 86, 85, 50)(  2, 40, 82,127,104, 48,
2361         243,226,135, 90, 92,197)(  3, 26,278,133,111,195,241,219,282, 91, 57,
2362         148)(  4, 19,327,130,118,342,242,212,331, 88, 64,295)
2363        (  6, 47,229,128,139, 97,239,198, 37, 89, 78, 99)(  7, 12,180,129,125,
2364         293,245,205,184, 87, 71,246)(  8,152, 31,124,279,147,209,191,234, 72,
2365         281, 56)(  9,187, 80,120,251, 49,208,177,136, 76,288,203)
2366        ( 10,173,276,126,258,196,206,170,283, 77,253,154)( 11,166,325,123,265,
2367         343,207,163,332, 74,260,301)( 13,194,227,121,286, 98,204,149, 38, 75,
2368         274,105)( 14,159,178,122,272,294,210,156,185, 73,267,252)
2369        ( 15,299, 32,117,328,144,216,338,235, 65,330, 53)( 16,334, 81,113,300,
2370         46,215,324,137, 69,337,200)( 17,320,277,119,307,193,213,317,284, 70,
2371         302,151)( 18,313,326,116,314,340,214,310,333, 67,309,298)
2372        ( 20,341,228,114,335, 95,211,296, 39, 68,323,102)( 21,306,179,115,321,
2373         291,217,303,186, 66,316,249)( 22,250, 35,110,181,143,223,289,238, 58,
2374         183, 52)( 23,285, 84,106,153, 45,222,275,140, 62,190,199)
2375        ( 24,271,280,112,160,192,220,268,287, 63,155,150)( 25,264,329,109,167,
2376         339,221,261,336, 60,162,297)( 27,292,231,107,188, 94,218,247, 42, 61,
2377         176,101)( 28,257,182,108,174,290,224,254,189, 59,169,248)
2378        ( 29,103, 34,145,230,142,237, 93,232, 51, 36, 54)( 30,138, 83,141,202,
2379         44,236, 79,134, 55, 43,201)( 41, 96,225,100)(157,171,269,273,259,161)
2380        (158,164,318,270,266,308)(165,311,319,263,315,305)(168,304,172,262,
2381         322,256)(175,255), (  1, 89,116,154, 72,211,194,270,231, 44,281,131,
2382           4, 91,114,148, 75,214,196,268,225, 47,284,133,  2, 85,117,151, 77,
2383         212,190,271,228, 49,282,127,  5, 88,119,149, 71,215,193,273,226, 43,
2384         285,130,  7, 86,113,152, 74,217,191,267,229, 46,287,128)
2385        (  3, 87,115,150, 73,213,192,269,227, 45,283,129)(  6, 90,118,153, 76,
2386         216,195,272,230, 48,286,132)(  8,334,109,301, 58,309,159,319,210,338,
2387         253,327, 11,336,107,295, 61,312,161,317,204,341,256,329,  9,330,110,
2388         298, 63,310,155,320,207,343,254,323, 12,333,112,296, 57,313,158,322,
2389         205,337,257,326, 14,331,106,299, 60,315,156,316,208,340,259,324)
2390        ( 10,332,108,297, 59,311,157,318,206,339,255,325)( 13,335,111,300, 62,
2391         314,160,321,209,342,258,328)( 15,187,123,203, 93,260,180, 25,238,142,
2392         246, 82, 18,189,121,197, 96,263,182, 23,232,145,249, 84, 16,183,124,
2393         200, 98,261,176, 26,235,147,247, 78, 19,186,126,198, 92,264,179, 28,
2394         233,141,250, 81, 21,184,120,201, 95,266,177, 22,236,144,252, 79)
2395        ( 17,185,122,199, 94,262,178, 24,234,143,248, 80)( 20,188,125,202, 97,
2396         265,181, 27,237,146,251, 83)( 29, 40,137,105, 51, 64,166,172,224,240,
2397         288,278, 32, 42,135, 99, 54, 67,168,170,218,243,291,280, 30, 36,138,
2398         102, 56, 65,162,173,221,245,289,274, 33, 39,140,100, 50, 68,165,175,
2399         219,239,292,277, 35, 37,134,103, 53, 70,163,169,222,242,294,275)
2400        ( 31, 38,136,101, 52, 66,164,171,220,241,290,276)( 34, 41,139,104, 55,
2401         69,167,174,223,244,293,279)(302,306,305,308,303) ] ],
2402[ 12, 768144384000, 0, "4c", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2403  "Sym(7) wreath Sym(3)", [ "A", 7, 3 ],
2404  [ (  1, 76,127,314,288,  6, 71,132,309,293)(  2, 72,128,310,289)
2405        (  3, 77,130,313,290,  7, 74,131,311,294,  4, 75,129,315,291,  5, 73,
2406         133,312,292)(  8,174,106,167,253,153, 57,181,302,195)
2407        (  9,170,107,163,254,149, 58,177,303,191)( 10,175,109,166,255,154, 60,
2408         180,304,196, 11,173,108,168,256,152, 59,182,305,194)( 12,171,112,165,
2409         257,150, 63,179,306,192, 14,172,110,164,259,151, 61,178,308,193)
2410        ( 13,169,111,162,258,148, 62,176,307,190)( 15,272, 99, 69,274,300, 92,
2411         34,316,146)( 16,268,100, 65,275,296, 93, 30,317,142)( 17,273,102, 68,
2412         276,301, 95, 33,318,147, 18,271,101, 70,277,299, 94, 35,319,145)
2413        ( 19,269,105, 67,278,297, 98, 32,320,143, 21,270,103, 66,280,298, 96,
2414          31,322,144)( 20,267,104, 64,279,295, 97, 29,321,141)
2415        ( 22,125,113,265,246, 55, 78,328,337, 48)( 23,121,114,261,247, 51, 79,
2416         324,338, 44)( 24,126,116,264,248, 56, 81,327,339, 49, 25,124,115,266,
2417         249, 54, 80,329,340, 47)( 26,122,119,263,250, 52, 84,326,341, 45, 28,
2418         123,117,262,252, 53, 82,325,343, 46)( 27,120,118,260,251, 50, 83,323,
2419         342, 43)( 36,223,134,216,281,202, 85,230,330,244)( 37,219,135,212,
2420         282,198, 86,226,331,240)( 38,224,137,215,283,203, 88,229,332,245, 39,
2421         222,136,217,284,201, 87,231,333,243)( 40,220,140,214,285,199, 91,228,
2422         334,241, 42,221,138,213,287,200, 89,227,336,242)( 41,218,139,211,286,
2423         197, 90,225,335,239)(155,160)(157,161,158,159)(183,209)(184,205)
2424        (185,210,186,208)(187,206,189,207)(188,204)(232,237)(234,238,235,236),
2425      (  1,  5, 19, 18, 39, 42, 35, 34, 48, 44,  9,  8)(  2, 12, 15,  4, 40,
2426          21, 32, 41, 49, 30, 13, 43)(  3, 26, 17, 25, 38, 28, 31, 27, 45, 23,
2427         10, 22)(  6, 47, 16, 11, 36,  7, 33, 20, 46, 37, 14, 29)
2428        ( 50,201,166,312,284, 91,231,181,342,289, 58,204,148,299,264, 67,235,
2429         189,329,279, 97,240,156,302,246, 54,215,165,333,287, 84,230,195,338,
2430         254, 57,197,152,313,263, 88,238,182,328,293, 93,205,155,295,250, 68,
2431         214,186,336,280, 83,244,191,303,253)( 51,208,162,298,285, 70,228,188,
2432         343,275, 62,239,149,306,260, 53,236,168,326,286, 98,226,160,337,247,
2433          61,211,151,334,266, 81,237,196,324,258, 92,198,159,309,249, 89,217,
2434         179,335,294, 79,209,190,296,257, 64,200,187,315,277, 90,245,177,307,
2435         288)( 52,222,164,319,283, 77,227,174,339,268, 59,218,150,320,262, 74,
2436         234,175,325,272, 94,219,157,316,248, 75,213,172,332,273, 80,223,192,
2437         317,255, 71,199,173,311,270, 87,224,178,321,290, 72,206,169,297,271,
2438          66,221,185,322,276, 76,241,170,304,267)( 55,243,163,305,281, 56,229,
2439         167,340,282, 63,225,153,341,261, 60,232,154,327,265, 95,233,161,323,
2440         251, 96,212,158,330,252, 82,216,193,331,259, 78,202,194,310,256, 85,
2441         203,180,314,291, 86,210,176,300,292, 65,207,183,301,278, 69,242,184,
2442         308,274)( 73,220,171,318,269)( 99,103,117,116,137,140,133,132,146,
2443         142,107,106)(100,110,113,102,138,119,130,139,147,128,111,141)
2444        (101,124,115,123,136,126,129,125,143,121,108,120)(104,145,114,109,134,
2445         105,131,118,144,135,112,127) ] ],
2446[13, Factorial(343)/2,1,"2",[[342,1]],341, "Alt(343)", ["A",343, 1], "Alt"],
2447[14, Factorial(343),0,"2",[[342, 1]],343, "Sym(343)", ["A",343, 1], "Sym"],
2448[ 15, 3087, 2, "1", [ [ 9, 38 ] ], 1, "7^3:9", [ "Z", 7, 3 ],
2449  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^4 ],
2450          [ Z(7)^4, 0*Z(7), 0*Z(7) ] ],
2451      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^4, 0*Z(7), 0*Z(7) ],
2452          [ 0*Z(7), Z(7)^0, 0*Z(7) ] ] ] ],
2453[ 16, 4116, 2, "1", [ [ 4, 6 ], [ 6, 3 ], [ 12, 25 ] ], 1, "7^3:Alt(4)",
2454  [ "Z", 7, 3 ],
2455  [ [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^3,
2456              Z(7)^3, Z(7)^3 ] ],
2457      [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^3, Z(7)^3, Z(7)^3 ],
2458          [ 0*Z(7), 0*Z(7), Z(7)^0 ] ] ] ],
2459[ 17, 6174, 2, "1", [ [ 18, 19 ] ], 1, "7^3:18", [ "Z", 7, 3 ],
2460  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7) ],
2461          [ Z(7)^3, 0*Z(7), 0*Z(7) ] ],
2462      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7), 0*Z(7) ],
2463          [ 0*Z(7), Z(7)^2, 0*Z(7) ] ] ] ],
2464[ 18, 6517, 2, "1", [ [ 19, 18 ] ], 1, "7^3:19", [ "Z", 7, 3 ],
2465  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^5, Z(7)^2, Z(7) ],
2466          [ Z(7)^5, Z(7), 0*Z(7) ] ],
2467      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^5, Z(7), 0*Z(7) ],
2468          [ Z(7)^4, Z(7)^4, Z(7)^3 ] ] ] ],
2469[ 19, 8232, 2, "1", [ [ 6, 3 ], [ 8, 3 ], [ 12, 9 ], [ 24, 8 ] ], 1,
2470  "7^3:(2 wreath Alt(3))", [ "Z", 7, 3 ],
2471  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2472          [ Z(7)^3, 0*Z(7), 0*Z(7) ] ],
2473      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ Z(7)^0, Z(7)^3, Z(7)^0 ],
2474          [ 0*Z(7), Z(7)^3, 0*Z(7) ] ] ] ],
2475[ 20, 8232, 2, "1", [ [ 6, 3 ], [ 8, 3 ], [ 12, 3 ], [ 24, 11 ] ], 1,
2476  "7^3:Sym(4)", [ "Z", 7, 3 ],
2477  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2478          [ Z(7)^0, 0*Z(7), 0*Z(7) ] ],
2479      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2480          [ 0*Z(7), Z(7)^3, 0*Z(7) ] ] ] ],
2481[ 21, 8232, 2, "1", [ [ 4, 6 ], [ 6, 3 ], [ 12, 15 ], [ 24, 5 ] ], 1,
2482  "7^3:Sym(4)", [ "Z", 7, 3 ],
2483  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2484          [ Z(7)^3, Z(7)^3, Z(7)^3 ] ],
2485      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2486          [ Z(7)^3, Z(7)^3, Z(7)^3 ] ] ] ],
2487[ 22, 9261, 2, "1", [ [ 27, 10 ], [ 9, 8 ] ], 1, "7^3:3^2:3", [ "Z", 7, 3 ],
2488  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2489          [ Z(7)^0, 0*Z(7), 0*Z(7) ] ],
2490      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), Z(7)^4, 0*Z(7) ],
2491          [ 0*Z(7), 0*Z(7), Z(7)^2 ] ] ] ],
2492[ 23, 9261, 2, "1", [ [ 9, 2 ], [ 27, 12 ] ], 1, "7^3:9:3", [ "Z", 7, 3 ],
2493  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2494          [ Z(7)^2, 0*Z(7), 0*Z(7) ] ],
2495      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), Z(7)^2, 0*Z(7) ],
2496          [ 0*Z(7), 0*Z(7), Z(7)^4 ] ] ] ],
2497[ 24, 12348, 2, "1", [ [ 18, 1 ], [ 36, 7 ], [ 12, 6 ] ], 1,
2498  "7^3:(3 x Alt(4))", [ "Z", 7, 3 ],
2499  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2500          [ Z(7)^0, 0*Z(7), 0*Z(7) ] ],
2501      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^2 ],
2502          [ Z(7)^5, Z(7), Z(7)^3 ] ] ] ],
2503[ 25, 12348, 2, "1", [ [ 36, 9 ], [ 18, 1 ] ], 1, "7^3:2^2:9", [ "Z", 7, 3 ],
2504  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2505          [ Z(7)^4, 0*Z(7), 0*Z(7) ] ],
2506      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), Z(7)^3, 0*Z(7) ],
2507          [ 0*Z(7), 0*Z(7), Z(7)^3 ] ] ] ],
2508[ 26, 13034, 2, "1", [ [ 38, 9 ] ], 1, "7^3:38", [ "Z", 7, 3 ],
2509  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2510          [ Z(7)^0, Z(7)^4, Z(7)^0 ] ],
2511      [ [ Z(7)^0, Z(7)^0, 0*Z(7) ], [ 0*Z(7), Z(7)^0, Z(7)^0 ],
2512          [ Z(7)^0, Z(7)^4, Z(7)^2 ] ] ] ],
2513[ 27, 16464, 2, "1", [ [ 24, 9 ], [ 6, 3 ], [ 8, 3 ], [ 48, 1 ], [ 12, 3 ] ],
2514  1, "7^3:(2 x Sym(4))", [ "Z", 7, 3 ],
2515  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^3, 0*Z(7), 0*Z(7) ],
2516          [ 0*Z(7), 0*Z(7), Z(7)^3 ] ],
2517      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2518          [ 0*Z(7), Z(7)^3, 0*Z(7) ] ] ] ],
2519[ 28, 18522, 2, "1", [ [ 27, 2 ], [ 18, 4 ], [ 54, 4 ] ], 1, "7^3:3^2:Sym(3)",
2520  [ "Z", 7, 3 ],
2521  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^5, Z(7), 0*Z(7) ], [ Z(7)^5, Z(7)^2,
2522              Z(7)^4 ] ],
2523      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7)^0, Z(7)^2 ],
2524          [ Z(7)^3, 0*Z(7), Z(7)^3 ] ],
2525      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ Z(7), Z(7)^3, 0*Z(7) ],
2526          [ Z(7)^3, 0*Z(7), Z(7)^3 ] ] ] ],
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2766      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^2, Z(7)^2, Z(7)^0 ],
2767          [ Z(7)^2, Z(7)^0, Z(7)^5 ] ] ] ],
2768[ 69, 117306, 2, "1", [ [ 342, 1 ] ], 2, "AGL(1, 7^3)", [ "Z", 7, 3 ],
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2770          [ Z(7)^0, Z(7)^0, Z(7) ] ],
2771      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^0, Z(7)^0, Z(7) ],
2772          [ Z(7)^0, Z(7)^5, Z(7)^4 ] ] ] ],
2773[ 70, 117306, 2, "1", [ [ 114, 3 ] ], 1, "7^3:(6 x 19:3)",
2774  [ "Z", 7, 3 ],
2775  [ [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^3,
2776              Z(7)^3, Z(7)^3 ] ],
2777      [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7), Z(7)^2, 0*Z(7) ],
2778          [ Z(7)^0, Z(7)^5, Z(7)^5 ] ] ] ],
2779[ 71, 148176, 2, "1", [ [ 72, 3 ], [ 18, 1 ], [ 108, 1 ] ], 1,
2780  "7^3:(2 x 3^2:Sym(4))", [ "Z", 7, 3 ],
2781  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^0, Z(7)^4, Z(7) ],
2782          [ Z(7), Z(7)^3, Z(7) ] ],
2783      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7), Z(7)^0, Z(7)^0 ],
2784          [ Z(7)^3, 0*Z(7), Z(7)^3 ] ],
2785      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), Z(7)^0, 0*Z(7) ],
2786          [ Z(7)^5, Z(7)^5, Z(7)^3 ] ] ] ],
2787[ 72, 148176, 2, "1", [ [ 72, 1 ], [ 216, 1 ], [ 54, 1 ] ], 1,
2788  "7^3:(2 x (3^2:3):Q_8", [ "Z", 7, 3 ],
2789  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^5, Z(7)^0, Z(7)^4 ],
2790          [ Z(7)^2, Z(7)^2, Z(7)^3 ] ],
2791      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^2, Z(7)^0, Z(7)^2 ],
2792          [ Z(7)^5, Z(7), Z(7)^0 ] ],
2793      [ [ Z(7)^3, Z(7)^5, Z(7)^2 ], [ Z(7), Z(7)^4, Z(7) ],
2794          [ Z(7)^5, 0*Z(7), Z(7) ] ] ] ],
2795[ 73, 172872, 0, "1", [ [ 24, 2 ], [ 168, 1 ], [ 126, 1 ] ], 1,
2796  "7^3:(3 x PSL(2, 7))", [ "Z", 7, 3 ],
2797  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^5, Z(7)^3, Z(7) ],
2798          [ Z(7)^0, Z(7)^3, Z(7)^3 ] ],
2799      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^5, Z(7)^0, Z(7)^0 ],
2800          [ Z(7), Z(7)^5, Z(7) ] ] ] ],
2801[ 74, 175959, 2, "1", [ [ 171, 2 ] ], 1, "7^3:19:9:3", [ "Z", 7, 3 ],
2802  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^5, Z(7)^4, Z(7) ],
2803          [ Z(7)^4, 0*Z(7), Z(7) ] ],
2804      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7), Z(7)^0, 0*Z(7) ],
2805          [ Z(7)^0, Z(7)^4, Z(7)^4 ] ] ] ],
2806[ 75, 222264, 2, "1", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2807  "7^3:2^2:(3 wreath Sym(3))", [ "Z", 7, 3 ],
2808  [ [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2809          [ Z(7), Z(7)^5, Z(7)^4 ] ],
2810      [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7), Z(7)^4, Z(7)^5 ],
2811          [ Z(7)^2, Z(7)^3, Z(7) ] ] ] ],
2812[ 76, 222264, 2, "1", [ [ 27, 2 ], [ 72, 1 ], [ 216, 1 ] ], 1,
2813  "7^3:(3^2:3):Q_8:3", [ "Z", 7, 3 ],
2814  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^4, 0*Z(7), 0*Z(7) ],
2815          [ 0*Z(7), Z(7)^5, Z(7)^3 ] ],
2816      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2817          [ Z(7)^5, Z(7)^3, 0*Z(7) ] ] ] ],
2818[ 77, 222264, 2, "1", [ [ 18, 1 ], [ 108, 3 ] ], 1,
2819  "7^3:2^2:(3 wreath Sym(3))", [ "Z", 7, 3 ],
2820  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^4, Z(7), Z(7)^2 ],
2821          [ Z(7)^5, Z(7)^5, Z(7) ] ],
2822      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ 0*Z(7), Z(7)^5, 0*Z(7) ],
2823          [ Z(7)^3, Z(7)^2, Z(7)^3 ] ] ] ],
2824[ 78, 222264, 2, "1", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2825  "7^3:(GL(1, 7) wreath Alt(3))", [ "Z", 7, 3 ],
2826  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^0, 0*Z(7), Z(7)^2 ],
2827          [ Z(7)^3, Z(7), 0*Z(7) ] ],
2828      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^4, Z(7)^3, 0*Z(7) ],
2829          [ Z(7)^3, 0*Z(7), Z(7)^0 ] ] ] ],
2830[ 79, 230496, 0, "1", [ [ 56, 3 ], [ 48, 1 ], [ 42, 3 ] ], 1, "7^3:GO(3, 7)",
2831  [ "Z", 7, 3 ],
2832  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^3,
2833              Z(7)^3, Z(7)^3 ] ],
2834      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ Z(7)^4, Z(7)^5, Z(7)^5 ],
2835          [ Z(7)^5, Z(7)^5, Z(7)^2 ] ] ] ],
2836[ 80, 345744, 0, "1", [ [ 168, 1 ], [ 48, 1 ], [ 126, 1 ] ], 1,
2837  "7^3:(6 x PSL(2, 7))", [ "Z", 7, 3 ],
2838  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2839          [ Z(7)^3, 0*Z(7), 0*Z(7) ] ],
2840      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ Z(7)^5, Z(7)^4, Z(7)^4 ],
2841          [ 0*Z(7), 0*Z(7), Z(7)^2 ] ] ] ],
2842[ 81, 345744, 0, "1", [ [ 168, 1 ], [ 48, 1 ], [ 126, 1 ] ], 1,
2843  "7^3:(3 x SO(3, 7))", [ "Z", 7, 3 ],
2844  [ [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2845          [ Z(7), Z(7)^3, Z(7) ] ],
2846      [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^5, Z(7)^2, Z(7)^3 ],
2847          [ Z(7), Z(7)^2, Z(7)^2 ] ] ] ],
2848[ 82, 345744, 0, "1", [ [ 24, 2 ], [ 168, 1 ], [ 126, 1 ] ], 1,
2849  "7^3:(3 x SO(3, 7))", [ "Z", 7, 3 ],
2850  [ [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2851          [ Z(7)^3, Z(7)^3, Z(7)^3 ] ],
2852      [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7), Z(7), Z(7) ],
2853          [ Z(7)^2, 0*Z(7), 0*Z(7) ] ] ] ],
2854[ 83, 351918, 2, "1", [ [ 342, 1 ] ], 2, "AGammaL(1, 7^3)", [ "Z", 7, 3 ],
2855  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^5, Z(7), Z(7)^4 ],
2856          [ Z(7)^0, 0*Z(7), Z(7)^4 ] ],
2857      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^5, Z(7)^4, Z(7)^0 ],
2858          [ 0*Z(7), Z(7)^2, Z(7)^4 ] ] ] ],
2859[ 84, 444528, 2, "1", [ [ 72, 1 ], [ 216, 1 ], [ 54, 1 ] ], 1,
2860  "7^3:(2 x 7^3:(3^2:3):Q_8:3)", [ "Z", 7, 3 ],
2861  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2862          [ Z(7)^0, Z(7), Z(7)^2 ] ],
2863      [ [ Z(7)^2, Z(7)^3, 0*Z(7) ], [ Z(7)^4, 0*Z(7), Z(7)^5 ],
2864          [ Z(7), 0*Z(7), Z(7)^5 ] ] ] ],
2865[ 85, 444528, 2, "1", [ [ 18, 1 ], [ 216, 1 ], [ 108, 1 ] ], 1,
2866  "7^3:(GL(1, 7) wreath Sym(3))", [ "Z", 7, 3 ],
2867  [ [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2868          [ 0*Z(7), Z(7)^4, 0*Z(7) ] ],
2869      [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^4 ],
2870          [ Z(7)^5, 0*Z(7), 0*Z(7) ] ] ] ],
2871[ 86, 691488, 0, "1", [ [ 168, 1 ], [ 48, 1 ], [ 126, 1 ] ], 1,
2872  "7^3:(6 x SO(3, 7))", [ "Z", 7, 3 ],
2873  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^4, 0*Z(7), 0*Z(7) ],
2874          [ Z(7)^3, Z(7)^4, Z(7)^2 ] ],
2875      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2876          [ Z(7)^2, Z(7)^3, Z(7)^4 ] ] ] ],
2877[ 87, 1931325984, 0, "1", [ [ 342, 1 ] ], 2, "ASL(3, 7)", [ "Z", 7, 3 ],
2878  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2879          [ Z(7)^0, Z(7)^2, Z(7)^0 ] ],
2880      [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ Z(7), Z(7), Z(7)^3 ],
2881          [ Z(7)^0, Z(7)^4, Z(7)^3 ] ] ] ],
2882[ 88, 3862651968, 0, "1", [ [ 342, 1 ] ], 2, "7^3:(2 x SL(3, 7))",
2883  [ "Z", 7, 3 ],
2884  [ [ [ Z(7)^0, 0*Z(7), 0*Z(7) ], [ Z(7)^2, Z(7)^5, 0*Z(7) ], [ Z(7)^2,
2885              Z(7)^4, Z(7)^4 ] ],
2886      [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2887          [ Z(7)^0, Z(7)^5, Z(7)^4 ] ] ] ],
2888[ 89, 5793977952, 0, "1", [ [ 342, 1 ] ], 2, "7^3:(SL(3, 7).3)",
2889  [ "Z", 7, 3 ],
2890  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^2, Z(7)^5, 0*Z(7) ], [ Z(7), Z(7)^2,
2891              Z(7)^3 ] ],
2892      [ [ Z(7)^0, Z(7), 0*Z(7) ], [ 0*Z(7), 0*Z(7), Z(7)^0 ],
2893          [ Z(7)^5, Z(7)^3, Z(7)^2 ] ] ] ],
2894[ 90, 11587955904, 0, "1", [ [ 342, 1 ] ], 2, "AGL(3, 7)", [ "Z", 7, 3 ],
2895  [ [ [ 0*Z(7), Z(7)^0, 0*Z(7) ], [ Z(7)^5, 0*Z(7), Z(7)^5 ],
2896          [ Z(7)^0, Z(7), 0*Z(7) ] ],
2897      [ [ 0*Z(7), 0*Z(7), Z(7)^0 ], [ Z(7)^0, Z(7)^0, Z(7)^2 ],
2898          [ Z(7), Z(7)^2, 0*Z(7) ] ] ] ]];
2899PRIMGRP[344]:=
2900[[ 1, 5663616, 1, "2", [ [ 343, 1 ] ], 2, "PSU(3, 7)", [ "2A", [ 2, 7 ], 1 ],
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2910         90, 91,247, 10, 64,151,152,109,258, 17,113, 15, 93,199,183, 27, 59,
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2913         72,313,131,184,283,235, 28,239,332,143,275,142,253, 57, 89,145, 26,
2914         224,127,161,230,249,302,296, 24, 69,229,286,264, 29,261, 81,135,185,
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2916         78,277,334, 52,319,322,134,158,309,240,216,163,207,223,333,298, 46,
2917         154,294,169,304,108,123,103,317,251, 34,270,311, 31,160,308)
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2919         255,225,101,292, 85,295,164,215, 56,325,343,148,114, 99,150,170,326,
2920          44,344,209,291,206,335,178,236, 80,159,132,256,174,112)
2921        (218,321,241,314,331,265),
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2924         109,220,203,231,319, 54,128,245,157,274,159,259,333, 98)
2925        (  5, 13, 34,  6, 15, 39, 95,195,277,210,134,252,305, 27, 68,154,190,
2926         201,314,239, 24, 62,143,265)(  8, 21, 53,126,241,125,236,213,284,299,
2927         55,130,243,254,106,167,289,142,262,169,291,207,257,230)
2928        (  9, 23, 59,139,151,271,281,332,341,302,330,191,113,147,144,249, 16,
2929          42,102,208,309,343, 75, 61)( 11, 29, 73,100,205,164,283,287,184,197,
2930         25, 22, 56,133, 88, 64,146, 57,136,253,124,237, 77, 52)
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2933         163,117,155,194,308,206,317,261,235,233,175,295,166,286)
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2939         310,176,296,334,132,162,209,211,171,189,293,227,216, 43)
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2942         63,145,127,244,276,297,337,263,119, 84,131,199, 89,186)( 93,135,183)
2943        (225,242,331) ] ],
2944[ 2, 11327232, 0, "2", [ [ 343, 1 ] ], 2, "PGammaU(3, 7)",
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2948         161,279,308,213, 93,164,341)(  4,214,304, 35, 39,132,224,133,317,265,
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2957        ( 14,109,122,241,287,303,257, 16, 72,262, 53,165,321, 87)
2958        ( 17,117,177,273,282, 79,275,254,191,298, 34,293, 26, 28)
2959        ( 20,143,158,240,309,332,199, 59,223, 61, 99, 25,186,274)
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2962        ( 38,228,136,178,315, 69, 67,314,217,285,129, 57, 44, 46)
2963        ( 40,114,200,288,142, 83,150,271,316, 66, 52,328, 45, 76)
2964        ( 42,248, 80, 74, 89,208,299,263,300,113,235,100, 77,231)
2965        ( 51, 71, 70,319,107,280,229,220,277,212,295, 81,194,258)
2966        ( 55,174,166,216,134,198,112,141,344,253, 86,255,252,182)
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2989         150,264,144,229,125,234,340,105,216,111,109,331,337,163)
2990        ( 95,292,180) ] ],
2991[ 3, 20176632, 1, "2", [ [ 343, 1 ] ], 2, "PSL(2, 7^3)",
2992  [ "L", [ 2, 343 ], 1 ],
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2994          12)(  2,341,141,164, 33, 42,339,318,201,319,236,313,229,138,263,302,
2995         216,273,224)(  3,272,308,325,137, 72,180,187,294, 44,182, 17,159,210,
2996         151,243,276,246, 80)(  4,111,118,226,161,317,334, 26,295,218, 52, 22,
2997         55,147, 88,139,281,116,254)(  5, 68,292, 24,240,290, 87,241,165, 29,
2998         320,330,155, 67, 32,275, 90,130,105)(  6,230,293,193,168,208, 23,266,
2999         231,143,312,322,269,133, 57,211,  8, 58,274)(  7,177,195,315,174, 11,
3000         194,148,179,283, 45, 38, 40,190,152,237,135, 71,123)(  9, 51,120, 50,
3001         169,333, 79,125,173,219,309,129,248,178,247,289,136,321,162)
3002        ( 10,101, 56,158,239,200, 14,102, 70,170,300, 66,250,126,171,267, 47,
3003          63, 64)( 13,153,306,142,213, 84,335,188, 19, 94,176,223,338,259, 18,
3004         331,205,185,189)( 15,119,150,104,287,124,327,103,121,291,175,227,163,
3005         61,146,108,258,260,253)( 16,297,286, 53,132,233,112, 60,217,249,183,
3006         299, 54,203,184,264,107,144,316)( 20,270, 86,252,117,262, 41,202,337,
3007         328,255,100,310,167, 37,344,221,106, 21)( 25, 82,340, 35,160, 69,329,
3008         62,323, 97,324,303,256,265,134,157,301,296, 74)( 28,278,277,192, 77,
3009         298,261,131,332,198, 43,314,305, 96,257, 36,181, 46,212)
3010        ( 30, 89,225,207,199, 92, 78,215, 83,220,206, 99, 91, 73,209,268, 76,
3011         149,222)( 31,127,172, 48,232,342,128,228,196,284, 98, 59,140,242,197,
3012         288,234,235,251)( 39,304, 75,122,204,279,110,307,214, 85,156,336,145,
3013         285,109,113, 93,311,280),
3014      (  1,285, 84,181, 23,144,146,218,203,343,105,207,100,192,271,226,199,
3015         273,193, 39, 64,  6,145,310,223, 34, 65,234,129, 88,247,342,108,119,
3016          79, 70,135,311,  4,117, 67, 50,  8,328, 44,245,148,306,185,183,111,
3017         126,330,224,122,229,137, 58,103,130, 56,136,290,265,323,184, 19,106,
3018         295,264, 95,200,241, 82,331,221,210,250,259,194, 18,325,212,262,279,
3019         321)(  2, 77,305,127,225,233, 98,215,115,172,168,335,147,  5,128,175,
3020         293, 60,141,160,150, 72,312,204,336, 47,292,198, 74,284, 66,296,227,
3021          14,220,288,339, 81, 94,197,243,187, 68,327,252, 24,202,104, 96,231,
3022         114,214,157,161,338,182,324,201,154, 36,269,188,169,179,257, 17,125,
3023         337,282, 37,131,255, 45,263, 33,102,315,109, 41,334,248,235,132, 86,
3024         142,261)(  3,300,177,319,163,340,344,287, 43,270, 61, 53,299,133,249,
3025         174, 89,314,258,304, 63, 76,162,213,281,143,274,205, 91,217, 83,303,
3026         209,110,165,297,189, 85,  7,341, 16, 97,208,326, 29,152, 10,166,333,
3027         329, 42,286, 59,268,276, 30,196, 80,155,240, 15, 71, 25,266,253,167,
3028         116, 48,186, 55,124,238,112,246, 26,120,219,164, 32,140,244,322,332,
3029         313,232,121)(  9,256,113,173,149,107, 90, 40,153,190, 22, 87, 78, 38,
3030         49,159,254, 69, 28,267, 92,123,278,191, 12,151, 93,118,308,228,302,
3031         275,230,309, 57,294, 52,158,298,283, 11, 13,134,320, 73,216,156,180,
3032         222,239,289,176,139,307,242,251,291,280,170, 75,260,301, 62,237,206,
3033          51,138,317,178,236,211, 21,101, 27, 54, 99, 20,272, 35,277,171, 31,
3034          46,318,316,195) ] ],
3035[ 4, 40353264, 0, "2", [ [ 343, 1 ] ], 3, "PGL(2, 7^3)",
3036  [ "L", [ 2, 343 ], 1 ],
3037  [ (  1,280,144,259,228,222,268,162,279, 71,321,275,185,246, 51,150,200, 98,
3038          20, 49,204,131, 61,103, 36, 60,239,331,248,340,175,199,132,174,104,
3039          31,186,215,137, 35, 85,184,333, 50,304,258,164,300, 73,311, 13,  7,
3040         320, 91,299,234,257,229,316,181, 92,232, 38, 44, 66,160,142,126,123,
3041         303,308,178,288,302, 55,272, 46,338, 65,218, 68,105,323,111, 16,206,
3042         187,260,237,343, 59, 74,182,326,297,330,  2, 77,157,250, 34, 12,101,
3043         334,119,168, 11,192,115, 24, 76,273,173, 87,235,317,290, 80,243,179,
3044         141, 69, 22,163,310,117,153,324, 37,209,177,121,  5,295,147,139,301,
3045         149, 27,328,154, 14, 83,226,216,136,212,207,312, 79,183, 95, 32,247,
3046          40,335, 45, 84, 42,110, 25,238,227,265,296,298,294,107,188, 33,217,
3047         146,145,309,205, 63,292,337,225,138,264,196,231,274,165,129,254,261,
3048         339,108,313,220,100,214,286,133, 64,122, 41,327,252,194,113,171,102,
3049         293, 21,135, 15,266,127,240,318,325,106, 70,305,  4, 39,315, 97, 10,
3050         242,287,172, 30,270, 90, 89, 18,202, 47,128,285,281,283,314,  8,341,
3051         210,125,193,151,190,244,195,332,203,140, 52,156,267, 28, 23, 99, 19,
3052           9,152,221, 81,251,208, 86,278, 96, 88,284,230,114, 58, 26,198,255,
3053          82,118,269, 72,213,166, 94, 56,336,155,289,262,344,148, 62,306,159,
3054         211,120, 43,224, 67,116,245,134,223,201,329, 78,158,233,249,282,253,
3055          53,161,176,236,342,319, 48, 29,219,124,256,130,167, 17,170,241,189,
3056         307,180,277,291, 57,271,276,112,109, 93, 75,169,191,197,  3,143, 54,
3057         263,  6,322), (  1,318,102,221,239,256, 62,200, 35,158,154, 36, 71,
3058         249,175,116, 58,132, 53,326,165, 55,308,163, 86,105,188,245,302, 41,
3059          60,327,182, 91,325,164, 93, 14, 88, 30,315,241, 75,110,336,332,111,
3060         290, 84,234,251,269, 44,172,145, 63,280, 97,219, 48,133,310, 96, 29,
3061          23, 61,329,148,306,222, 40,220,191,316, 52, 66,247,113,160,244,284,
3062          21,233,192, 73,298,257,125,206,246,330, 33,243, 80, 94,174,299,270,
3063         106,268,184,342,161, 85,123,117, 50,180, 13, 98,271, 49,210, 83)
3064        (  2,112,119,258,214,211,202, 28,260, 67,322,237,203,297, 25,282,  6,
3065         207, 15,127, 64,177,190,231,128,248, 78,274,196, 72, 95,170,307,255,
3066         343, 10,314, 77,143,186,303,156, 70,197,227,205,213,198, 47,275,265,
3067          11,289,250, 92,134,324,223,218,252, 57,178,281,340,323, 65,319,181,
3068         108,141, 90,194, 22,100,226, 37,185,286, 87,301,266,138,153,341, 43,
3069         262, 32,321,152,295,107,139,101,146, 24,331, 16,173,339,129,273,212,
3070         155, 26,157,179,  4, 31,104,291,229,328,126,  9)(  3, 69,176,136,147,
3071         235,183,320, 51, 74,294,216, 68,242, 18,259,300,313, 82, 19,131,283,
3072         140,208,121,193,287,253,168, 79,230,118,288,279,276,232, 27, 34,144,
3073         137, 20,162,261,199, 42,115,142,311,333,120,335,278,217, 17,151,317,
3074         130,159,122,344, 45,  7, 39,195,338,169,114,228,103,149,337,  8,224,
3075         189, 59,204,305,109,264, 46,124,296, 56,  5, 38,309,171, 81,167,150,
3076         209,312, 89,238,272,267,166, 12, 54,240,201,135,225,215, 99,292,277,
3077         285,263,293, 76,334,187,304) ] ],
3078[ 5, 60529896, 0, "2", [ [ 343, 1 ] ], 2, "PSigmaL(2, 7^3)",
3079  [ "L", [ 2, 343 ], 1 ],
3080  [ (  1, 77,294, 12,130,250, 90,185,221,102,  4,262)(  2,166,265,270,291, 98,
3081         212,  6,183, 36,189, 10)(  3,329,100,101,282,275, 22,  9,259,251,129,
3082         114)(  5,301, 55,340,140,331,343,199, 88,135,324, 25)
3083        (  7,150,145,125,141, 44, 72, 11, 56,303,147,134)(  8,264,180,155,290,
3084         26,197, 50, 53,247,127, 63)( 13,153, 43, 41,204, 30,167,256,192, 39,
3085          47,295)( 14, 93,302,292,120, 67,146,310,205,338, 83, 31)
3086        ( 15, 71, 29,218,178, 97,207,111, 70,170,177,156)( 16,312, 64, 69, 75,
3087         236,142,313,176,305, 35,172)( 17,226,173,137, 19,249,208, 96, 92,161,
3088         200, 51)( 18, 20,154,109, 81,242,238,165,206,232,158,184)
3089        ( 21,160,288,139, 85,214,187,168,263, 74,281,309)( 23,233, 38, 59,108,
3090         257, 80,326,157,179,333,164)( 24,334,121, 40, 76, 58,341, 49,159,299,
3091         117, 91)( 27,119,222,255, 68,223,118, 28,113, 78,235,237)
3092        ( 32,273,234,231, 57,286,215,315,337, 46,297, 99)( 33,136,169,267,307,
3093         271,268, 48,280,253,225,224)( 34,289,186,316,287,327, 52,151,163,230,
3094         42,304)( 37,213, 87,128,328,123,258,342,311,252, 62, 66)
3095        ( 45,115, 60,143,285, 73,239, 79, 86,124,188,245)( 54,195,248,241,298,
3096         336,317,116,306, 95,103,284)( 61,112,106,330,260,122,209, 94,191,322,
3097         174,149)( 65,162, 89,126,277,217,332, 84,193,325,148,175)
3098        ( 82,254,314,318)(104,228,272,339,269,131,203,240,320,201,196,283)
3099        (105,246,132,133,182,152,107,216,344,323,171,198)(110,266,227,278,210,
3100         276,220,219,202,144,321,181)(138,300,274,243,261,308,293,296,244,335,
3101         211,319)(190,229,194,279),
3102      (  1, 96,245, 35,272,191,258,320,214,121,238,193,257,242, 93,132,251,
3103         336, 63,315, 85)(  2,155,211,150,147,217,222, 56,162,313,326, 88,115,
3104         271,341,268,277,333,207, 67, 77)(  3,316, 31,146,185,319,157,306, 90,
3105         322,197,170,104,204,  6,228, 55,194,161, 86,171)(  4,249,182,343,189,
3106         303, 52, 97,172,289,311, 58,118,213, 89,309,206,284,215,131,291)
3107        (  5,186, 65,187,223,126,270,328, 94,308,209,235,310, 73,205, 95,263,
3108         134,252, 27, 99)(  7,293,229, 15,210,159,321,234, 36, 21,198,337,286,
3109         192, 80,227,219,127,110,106, 75)(  8,153,239, 68,  9, 13,334, 25,282,
3110         224, 44,275,305,112,177,232, 28, 47,324,285,299)( 10, 78, 82,283,304,
3111         144,253, 11,120, 50,233,196, 18, 33,280, 79, 46, 37, 45,221,276)
3112        ( 12, 57,254,231,128,278, 23, 20,195,230, 19, 38,109,314,269,143, 84,
3113         296, 81,105,290)( 14,151, 71,339,108,279,201,329,160,332,259,265, 43,
3114         69,302,188, 17,117,103, 64,225)( 16,247,133, 87,312,184, 39, 72, 66,
3115          60,176,267,174,241, 98,125,340,111,124,148,255)( 22,165, 76, 91,163,
3116         136,262,181,164,288,240,256,102,330,183, 74,114,264, 61,298,154)
3117        ( 24,243,203,344, 59,116, 62,152, 32,212, 51,100,107,295,119,208,274,
3118         135,292,297,335)( 26,281,260,199,220, 40, 92, 29,166,145,175,331,140,
3119         266,342,273,338,141,179,142,327)( 30,123,236,158,167, 49,248,129,178,
3120         307,137,180,325, 34,218,323,261,301,190,202,139)( 41,149,156,300,130,
3121         287,101)( 42,138,250,200,318,168,226, 54,216, 53,169, 48,122,113,173,
3122         83,317,237, 70,294,246) ] ],
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3124  [ "L", [ 2, 343 ], 1 ],
3125  [ (  1,318, 29,344,158, 37,168,263,184, 16, 22,267,236,278, 57,139, 15, 99,
3126         321,131,311,277,146,200,224,170,109,237,147,135, 51,218,132, 74, 97,
3127         221, 78,280,  8,106, 85,229,248,177,  6,165,179,228,232,173,246, 84,
3128         141,319,201, 21,154,174,265,329, 56,328,122,102,335, 87, 81, 93, 10,
3129         330,233,105,284,199, 64,211,244,193,196, 94,297,231, 39,127,142, 77,
3130         128, 33,216,260,183,257,340, 82,323,304,226,  9,239,101, 61, 23, 32,
3131         119,289,296,205, 36,130,188,225,181,341,313,343, 17,125,124,187,327,
3132         223,251,303, 48,148,100, 19, 41,309, 76,195, 72,  5,310, 25,140, 44,
3133         238, 12,157,320,212,342, 46,208, 35,203, 69, 71,111, 18,261, 27,136,
3134         171, 38,333,138,176,113,301, 50,175,242,129,271,202,336,  3,287, 42)
3135        (  2,172,259,268,230,190, 52,282, 65,331,312,209,295, 34,108, 31, 75,
3136         258,163,214,149,164,252, 60,338,197, 95, 98, 47, 80,227, 92,  7,186,
3137          58,305,281,198,210,204,300,189,169,307,235,306, 26,117,137,270, 90,
3138         316,150,207, 45,118, 59, 63,112,126,285,114, 43, 62,206,185,283, 11,
3139         213, 70,194,217,159, 73,240,156,144, 54,182,121, 67, 91,145, 14,324,
3140         160,314,192,276,152,234, 13, 55, 24,269,275,107, 28,123,254,133,291,
3141         262,317,290,249,  4,288,299, 89, 20,162, 49,116,241,334,178,115,153,
3142         302,253,120,155,264, 30,273,180,220,222, 88,256, 83,245,293, 79,315,
3143         134,279, 53,247,151,266,325,286,219, 96,215,326,250,272,191,143,243,
3144         332, 40, 68,308,104,167,166,274,292,322,294,110, 66,103,161,255, 86,
3145         339), (  1, 25,248,255,267, 76, 82,163,142,208,292, 86,213, 73, 66,
3146         318,328, 87)(  2,132, 47,127, 34,276,256,262,107,152,296, 46, 50, 27,
3147         12, 91, 70,194)(  3,184,179,130,317,338,104, 40,193, 97, 94, 57,321,
3148         144,140, 42,156,288)(  4, 72,191, 53, 33,323, 52, 98, 24, 60,322,293,
3149         297,315,118,313,289, 13)(  5,134, 83, 48,204,205,123,136,245,157,165,
3150         8, 41,221,151,287,311,220)(  6,159,300,109,218,249,148, 88, 95,324,
3151         180,271,170,282,310,119, 14, 69)(  7,253,199,219,299,268,316,111, 67,
3152         242, 30,174,264,334,214, 90,182,336)(  9,341,160,333, 77, 37,277,173,
3153         190,343,274,304,171,178,335,332,286,302)( 11,206,209,284,211, 39,222,
3154         337,196,224,164,294,114, 74,153, 20,101, 58)( 15, 28,280, 23,225,181,
3155         22, 63, 59, 71, 29,189,106,312, 92,122,143,269)( 16,158,231,238,129,
3156         186,139,330,100,150,251,258,327,187,340,230,306,207)( 17,217,103,266,
3157         175,200,125,309, 68,223,295,329, 36,243,155,210,105,177)
3158        ( 18,172, 79,226,236,161, 81,250,319,240,307,233,131, 21,188,279,298,
3159         212)( 19,113, 85,257,232, 45,146,168,308,281, 89,120,270,290,166,216,
3160         261,237)( 26, 31,195, 99,344,197,192,128,135,278,265, 64, 80,185, 55,
3161         32,116,305)( 35,183,331,102,247,201,235,121,260,263, 54, 61,275,112,
3162         137,325,169,239)( 38,176,147,259,124,326,117,110,167, 84,244,252,115,
3163         202, 93,229,314,272)( 43,198,291,339,254, 75,141,283, 44,227,215,303,
3164         320,285,234, 49,108,154)( 51, 56, 78, 96,203,133,228,149,241, 62,138,
3165         145,301,273,246,126,162,342) ] ],
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3167[8, Factorial(344),0,"2",[[343, 1]],344, "Sym(344)", ["A",344, 1], "Sym"]];
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3221  [ "L", [ 2, 349 ], 1 ], "pgl" ],
3222[3, Factorial(350)/2,1,"2",[[349,1]],348, "Alt(350)", ["A",350, 1], "Alt"],
3223[4, Factorial(350),0,"2",[[349, 1]],350, "Sym(350)", ["A",350, 1], "Sym"]];
3224PRIMGRP[351]:=
3225[[ 1, 9828, 1, "2", [ [ 7, 2 ], [ 14, 12 ], [ 28, 6 ] ], 1, "PSL(2, 3^3)",
3226  [ "L", [ 2, 27 ], 1 ],
3227  [ (  1,147,280,241,297, 60,245,196, 51,224, 38,299,175,116)(  2,294,157,232,
3228         332, 83,302,213,322,311, 56, 52, 33, 99)(  3, 58, 89, 97,271,333,155,
3229         212,180, 87,156, 35,190,177)(  4, 44,119, 92,313, 62,235,207,304,301,
3230         258,270,  6,182)(  5, 94,130,181,199,249,255,340,113,286, 93,307, 68,
3231         19)(  7,279, 73, 54,205,237,284,186,193,176,188,127,148,169)
3232        (  8,134,192,319,315,305,246,283,240,328,160, 43,254, 47)
3233        (  9, 85,309, 81,290, 82,121, 50, 76,334, 72,330,233,289)
3234        ( 10,339, 79,202,203,140,179, 70,214,276,222,242,317,164)
3235        ( 11,108, 16, 28,248,126, 25,129,173, 26,335, 74,238,219)
3236        ( 12,104,345,178,269, 42,287,166,158,274,150,220,253,209)
3237        ( 13,292,323, 59, 91,350,312,109, 88,149,331, 71, 32, 66)
3238        ( 14,282,197,101,348,204,132,326,351,223,112,208, 15, 31)
3239        ( 17,131,250,145,100,137,291)( 18, 27, 86, 21,325,318,161, 49,106,162,
3240         144,153, 24,136)( 20,247,327,261,267, 36, 65,239,296,206, 23,102,133,
3241         260)( 22,347,321,338,228,346,185,263,210, 39,189, 63,146,115)
3242        ( 29,251,234, 30,167,264,171,303,343,244,268,293,298,111)
3243        ( 34,218,194,308,227, 77, 80,122,288,117,142,114,154,120)
3244        ( 37,306,143, 75,259,277,336, 40,125,314,195,124, 96,163)
3245        ( 41,281,231,216,344,266,337,118,273, 64, 61,252,152,151)
3246        ( 45,187, 84, 78, 90,103,174,170,229,285,316,215,135,310)
3247        ( 46,295,275,256,107,138, 55,105, 69, 95,110,257,230,201)
3248        ( 48,172,184,139,243,191,272,198,236,324,226,200,225,320)
3249        ( 53,349,217,159,141,128,262, 98,183,278, 57,329,211,265)
3250        ( 67,342,168,341,300,165,221),
3251      (  1,174, 93,275,308,124, 75)(  2,249, 56,217, 87,212,349)
3252        (  3,326,300,197, 89,310,279)(  4,287, 68,336,  6,280,266)
3253        (  5,193,118,274,104,288,248)(  7, 25,149,198,165, 31,281)
3254        (  8,236,168,259,169,209,295)(  9, 62,215,263,110,130, 35)
3255        ( 10,185, 16,173,239,190, 18)( 11,284, 32,141, 57,157,247)
3256        ( 12,235, 96,342, 94,286, 67)( 13,100,145,298,139, 36,243)
3257        ( 14,338, 82, 88,226,299,125)( 15, 27, 49,208,129, 17,201)
3258        ( 19,302,251,344,150,213,317)( 20,111,306,220, 66, 23, 83)
3259        ( 21, 60,184,246,188,172,292)( 22,179, 99,327,301,142,159)
3260        ( 24,120,242,196, 72,268,234)( 26,347, 78,164,304,252,216)
3261        ( 28, 64,204,136,273, 81,334)( 29,229, 55,206,322, 98,265)
3262        ( 30, 46, 45,245,112,341, 48)( 33, 59,238, 34,114, 69,244)
3263        ( 37,199,135,225,102,156,351)( 38,313,319,127,228,257,297)
3264        ( 39,108,101,210,278,177,289)( 40, 74, 85,182,121, 95, 42)
3265        ( 41,305,154,144,331,323,330)( 43,258,123,119,140, 77, 80)
3266        ( 44,176,103,270,122,325,227)( 47,337, 70,285,277,117,262)
3267        ( 50,333,113,335,146, 54,207)( 51,314,264,153,109,178,151)
3268        ( 52,160,346, 53,218, 92,296)( 61,200,167,309,321,223,269)
3269        ( 63,132,138,189, 76, 97,183)( 65, 84,171,250,339,152,303)
3270        ( 71,332,307,315,232,143,241)( 73,255,253,282,155,260,324)
3271        ( 79,126,163,187,158,221,320)( 86,240,105,291,283,211, 91)
3272        ( 90,222,191,231,318,293,272)(106,271,261,230,107,115,192)
3273        (116,162,348,175,256,233,290)(128,276,131,219,214,161,343)
3274        (133,205,254,181,340,203,316)(134,137,312,148,267,350,224)
3275        (147,202,329,194,166,237,328)(170,180,186,195,311,294,345) ] ],
3276[ 2, 19656, 0, "2", [ [ 28, 12 ], [ 14, 1 ] ], 1, "PGL(2, 3^3)",
3277  [ "L", [ 2, 27 ], 1 ],
3278  [ (  1,217,173,157,314,141, 84,321,326,167,251, 44, 86,174,340,163,290, 74,
3279         286,245,331,142, 33,139,155, 76,133, 91)(  2,350,143,192,312,270,259,
3280         208, 88, 43,336,149,121, 62,238,199,154,330,136,342,215,100,346,311,
3281          23, 98,129,101)(  3,313,128,201, 40,220,291, 29,280,186,338,308,123,
3282         36, 27,193,297,264,221, 12,306,256,255,348,324,119, 69,132)
3283        (  4,305,240,351,138, 66,160,187,216,277,232,178, 15, 89,106,337,252,
3284         189,198,258,158, 81, 75, 41,170,319,292,257)(  5, 45,273,318, 55,335,
3285         111,140,113,125, 90, 37,159,276,171, 26,110,115, 64,229,329,194, 14,
3286         225,241, 35,304, 65)(  6, 31, 73,164,285,172,300, 96, 34, 51, 21, 70,
3287         347,175,296,195,131,180,310,339,169,301,112,108,152,109,266,248)
3288        (  7,272,104, 30,118,302, 78,239,343,179,214,293,218,103,  9, 61,234,
3289         150, 97,279,262,153,126,185, 24, 11,263,249)(  8,105,322, 19,204,135,
3290         190,226,124,177,200,316, 92,211,233, 95, 47,122,222,231,349,117, 13,
3291         260, 93,281,203,247)( 10,287, 28,250, 80,151,333,289,274,114,298, 85,
3292         235,161,295,146,197, 83,303,102,345,213,243,344,327,341, 16, 42)
3293        ( 17, 77,176,116,166, 53,334, 63,288, 72,207,242,219,320,156, 25,202,
3294         282, 56, 20, 49, 52,307,269,196,284,261,165)( 18,328,317,227,223,182,
3295         267, 79,315,228, 48,323,168, 54,181,191,205, 50,210,144, 99,127,271,
3296         183,148,145, 32, 87)( 22, 58, 46,224,332,309,299,275,236,325, 67,107,
3297         94,120,246,130,184,268, 59, 71,244,212,278,283,206, 57,230,137)
3298        ( 39,294, 82,162,147,254,237,253,265, 68,209,188,134, 60),
3299      (  1,251,122,113,142, 59,151,254,162,295, 67, 74,318,222)
3300        (  2,129, 85,165,265,179,207,314,327,321,198,117,205,224)
3301        (  3,193,152,322,147,135,180)(  4,340, 70, 83, 62,104, 89, 90, 95, 27,
3302         331,209,284,183)(  5,130,120, 37,145,269,227)(  6, 94,235,267, 24,
3303         281,200,  9,271,289,184,175, 86,133)(  7, 42,275,293,237,  8,143, 58,
3304         307, 76,139,111,131,337)( 10,128,195,246,266, 36,102, 51, 79,158,141,
3305         240,127,285)( 11,230,339, 19,330,279,238,204,112, 46,103,309,181,283)
3306        ( 12,287,263,223,167,243, 71,194,229, 98,300,144,297,211)
3307        ( 13,132,228, 96,259,329, 64,325,341,217,148,218,303,324)
3308        ( 14,312,203,153,199,146, 15, 87,125, 77,114, 99,164, 60)
3309        ( 16,173, 47, 48, 34,311,351,299,338,225,268,304, 53, 40)
3310        ( 17,291,116,140,108,302,310, 55, 25,186, 56,257,319, 41)
3311        ( 20,274,270,192, 57,168,233,138,157,344, 84,288,272, 39)
3312        ( 21,315,298,282,273,328,232, 80,154,150,177,101,115, 68)
3313        ( 22,185, 93,255,346, 63,241,188, 26,242, 43,256,316, 61)
3314        ( 23,306,262, 38, 97,348,208,333,216,159,178, 65,106,161)
3315        ( 28, 73,155, 75,182, 52,134,286,313,349, 45,277,343,136)
3316        ( 29,171,160, 92,260,252, 35,280,261, 44,317, 32, 91, 49)
3317        ( 30,334,219,239,301,206,201,290,292,170, 33,123,332,169)
3318        ( 31,248, 66,100,336,189,296,347,253,250,264, 69,197,294)
3319        ( 50,156,166,323,119,234,124,190,121,342,105,247,126,221)
3320        ( 54,176, 81,244,245,236,305,202,191,118,149, 72,215, 78)
3321        ( 82,249,212,345,214,187,109,335,163,174,196,137,350,226)
3322        ( 88,172,210,231,326,213,308,320,276,107,110,220,278,258) ] ],
3323[ 3, 29484, 0, "2", [ [ 7, 2 ], [ 84, 2 ], [ 42, 4 ] ], 1, "PSigmaL(2, 3^3)",
3324  [ "L", [ 2, 27 ], 1 ],
3325  [ (  1,310, 79,243,283, 96)(  2,234,277,206, 62, 32)(  3,144,257,163,333, 99
3326         )(  4,252, 74,309,208, 68)(  5,180,106,122,104,175)(  6, 15,254,134,
3327         249,343)(  7, 27,188, 53,119, 56)(  8,250, 11,154,187, 16)
3328        (  9,267,185,124,300,227)( 10, 47, 22,297,321,101)( 12,290, 55,100,
3329         275,112)( 13,130,271,177, 80,307)( 14,136, 45, 29, 43,156)
3330        ( 17,253, 37,111,196, 66)( 18, 93, 73, 65,153, 50)( 19,231,269,149,
3331          69,251)( 20,166, 67,155,225, 90)( 21, 72,319, 44, 78,174)
3332        ( 23, 49,162,110,317,247)( 24,305,337,244,173,349)( 25,291,195,292,
3333         282,318)( 26,217,262,236,344,260)( 28, 35,181,147,246,320)
3334        ( 30,348,113,168,146,148)( 31,128,169, 42,212,118)( 34,133, 39,197,
3335         183,161)( 36,224,239, 92,186,160)( 38, 91,339,150, 95, 58)
3336        ( 40,120, 81,276,347,142)( 46,193, 51, 54,205,237)( 48,201, 60, 77,
3337         176,263)( 52,256,329,230,117,184)( 57,121,325,126,295, 85)
3338        ( 59,340,209,102,273,194)( 61,192,281,255,229,350)( 63,151,127,157,
3339         312,293)( 64,115,135)( 70, 94, 86)( 71,200,311,198,221,298)
3340        ( 75,266,170)( 76,287,216,167,199,304)( 82,143,203)( 83,219,152,179,
3341         280,138)( 84,103, 97,213,226,238)( 87,218,264,145,137,279)
3342        ( 88,346,220,288,172,284)( 89,191,116,241,222,242)(105,108,274,301,
3343         123,261)(107,211,248,109,228,139)(114,286,314,182,268,189)
3344        (125,129,294,232,190,204)(131,285,332,322,270,214)(132,341,308,296,
3345         313,245)(140,207,315,233,159,324)(141,215,210,345,240,164)
3346        (158,303,272,165,338,336)(171,302,316,265,330,351)(178,328,278,235,
3347         326,323)(202,299,259,289,327,306)(223,342,331,258,334,335),
3348      (  1,311, 45,134,304, 23,133,119,164,148, 99,266,291)(  2, 14,109,301,
3349         349,165, 69, 54,117,286,185,163, 77)(  3,178,100,118,282,126,129,257,
3350         201,132,175,131, 40)(  4, 20, 25,232,123, 83,230,296,258,195, 59,303,
3351         12)(  5,207,149, 18,248,327,152,234,229,316,290,243,246)
3352        (  6,345, 98,187, 38,351,346,146, 31, 64,127,183,125)(  7, 81, 11,315,
3353         272,189,263,320,222,107,309,135, 52)(  8,302,223,208, 22,206,162,300,
3354         289,139,292, 96,256)(  9, 55, 67, 76,323,288,198,273,265,270, 36,143,
3355         97)( 10,108,253,244,184,121,168,153,260,338,112, 15,157)
3356        ( 13, 72,199,334,268, 74,174,167,137, 17,312,284,105)( 16, 86,249,340,
3357         114,154, 94,181,325,275,317,332,192)( 19, 34,285,335,342, 53, 44, 30,
3358         326,322,227,220, 63)( 21, 60,331,226,116, 47, 84,188,339,337,324, 29,
3359         41)( 24, 71, 43,147,190,314,128,269,170,194, 56,235,319)
3360        ( 26,298,200, 39,209,211,341,159,124,210,236, 32, 95)( 27,231,271,204,
3361         264,350,197,156,241,318, 49,102,136)( 28,101,155, 68,240,245,279,110,
3362         213,280,347,247,150)( 33,122,237,336, 57,104, 89,344,202,111,106,242,
3363         313)( 35,158,261,182,217,299,225,218,343,330,221,238, 82)
3364        ( 37,239,321,216,294,173,215,151,179, 93,180,348,295)( 42,277,145,171,
3365         308,306,276,144,305,274, 80, 91,250)( 46,161,251, 92,113,214,172, 85,
3366         73,205, 88,196, 65)( 48,293,140,329, 61,267,224,141,328, 66,191,142,
3367         120)( 50,255, 62,130,233,333,103,287,177, 58,259,186, 87)
3368        ( 51, 78,212,176,252,310,278, 70, 75,166,283,262,169)( 79,203,281,228,
3369         307,115,297,160,254,138,193, 90,219) ] ],
3370[ 4, 58968, 0, "2", [ [ 14, 1 ], [ 84, 4 ] ], 1, "PGammaL(2, 3^3)",
3371  [ "L", [ 2, 27 ], 1 ],
3372  [ (  1, 93,126, 95,113,281,153, 47,163,276,219, 20,294,298, 87,189,  2,332,
3373         338, 58, 88,232,267,295,134,166,242,318)(  3,164,191, 72,101,135,188,
3374         14, 82,226, 43,156,210,195,306,238,263,341,230,262,128, 16,221,185,
3375         275, 42,150,346)(  4,168, 67,235,283,127,257, 63,154,243,326,260,322,
3376         152, 29, 53,329,312,241, 56, 36,112,200,122,321, 28,215,202)
3377        (  5,223,279,100,170,351,199, 24,328,110,206,248,339,325)
3378        (  6,245,130, 64,304, 59,155,310,218,323, 52,317, 84,250,265,261, 27,
3379         247,211,291,284,254,213,167,227,176,271, 30)(  7,106,229, 35, 89, 61,
3380         19, 31, 39,234,119,148,290, 12,105,342,129,336,330,316,313, 91,228,
3381         348,249, 60,180,177)(  8, 68, 45, 13, 69,220,273,288, 44,165,146,311,
3382         347,300, 62,114,196,314, 25,171,193,255,222, 26,147, 92, 41,138)
3383        (  9,204, 23,161,337,285,181, 46,266,212, 97, 38, 11, 94,169,224,144,
3384         296, 15, 85,121,124,272,282,197,324,274,334)( 10,131,159, 81,269, 48,
3385         203,259,175, 71, 80,258,120,244,216,345,246,172,143,233,183, 17,160,
3386          55, 73,327,174,173)( 18, 79, 70,157,319,240, 86, 96, 32,182,187,239,
3387         320,308,151,268,225,123,139,331,280,194,184,102,186,207,343,158)
3388        ( 21,237, 78,136,179,253, 34,145,140,307,299,292,217,287,201,107,335,
3389         108, 37,278,264,344,340,305,137, 77,125,315)( 22,104, 98, 65,198,251,
3390         74, 57,208,132,349,256,350,236,133,141,277,115,149,103,309,118, 99,
3391          83, 51,289, 54,293)( 33, 66,301,214,333,192,270,303,302,109, 75,142,
3392         90,252,231, 50, 40, 49,286,162,209, 76,116,297,205,117,178,111),
3393      (  1,151, 29,165,204,190)(  2,268,225,250,288,347)(  3,104, 67,113,229,
3394           8)(  4, 44,239,272,231, 12)(  5,345,262,278,223,305)
3395        (  6,240,160,157,322,134)(  7,215, 99,142,171,339)(  9, 64,210,127,
3396         194,300)( 10,156,341,277,129,253)( 11,284, 73,163,152,332)
3397        ( 13,335,181,119,200,246)( 14,230,122, 39,118,144)( 15,310, 47,259,
3398         108, 91)( 16,123,109,170,224,202)( 17,302, 41,220,188,167)
3399        ( 18,116,226,245,177, 59)( 19,350,234,295,276, 80)( 20,162,205,251,
3400         311,168)( 21, 48,185, 93, 96,260)( 22, 87,110,178, 27, 31)
3401        ( 23,227,193,169,346,318)( 24,115, 52, 79,265,180)( 25,153,349,203,
3402         327,198)( 26,241, 66)( 28,331,228, 40,286,222)( 30,330,254,324, 71,
3403          88)( 32,255,294,348,155,243)( 33,303, 86,121,133,287)
3404        ( 34, 97, 54, 65, 81,233)( 35,283,329,149,258,343)( 36,131, 75,248,
3405         176,179)( 37,217, 45,299,257,282)( 38,242, 68,141, 82,244)
3406        ( 42,124,191,148,314,117)( 43,112, 72,145,315,319)( 46,140,337, 78,
3407         114,267)( 49,212,101,235,125,266)( 50,298,164,320, 55,316)
3408        ( 51,138,158,249, 95,135)( 53,195,271,323,312,187)( 56,336,166,338,
3409         196,270)( 57,274,137,201,120,297)( 58,219, 98,132,218,232)
3410        ( 60,344,309,236,150,351)( 61,103,291, 92,139,106)( 62,100,159,174,
3411         307,172)( 63, 74,209,237,214,252)( 69,289,216,264,261,186)
3412        ( 70,308,275,206, 83,273)( 76,317,279,136,306,269)( 77, 89,281, 90,
3413         102,111)( 84,221,256,247,211,340)( 85,126,199,130,146,154)
3414        ( 94,182,147)(105,213,296,280,292,128)(107,207)(143,238,263,304,325,
3415         334)(161,173,183)(175,208,293,321,301,285)(184,333,189)
3416        (192,290,313,197,342,328) ] ],
3417[ 5, 4585351680, 1, "2", [ [ 224, 1 ], [ 126, 1 ] ], 1, "O(7, 3)",
3418  [ "B", [ 3, 3 ], 1 ],
3419  [ (  1,  2)(  3,  5)(  7, 10)(  8, 12)(  9, 14)( 11, 17)( 16, 23)( 19, 27)
3420        ( 21, 30)( 22, 32)( 24, 35)( 25, 37)( 26, 39)( 28, 42)( 29, 44)
3421        ( 33, 49)( 36, 52)( 38, 47)( 41, 57)( 43, 60)( 45, 63)( 46, 65)
3422        ( 51, 71)( 56, 77)( 58, 80)( 61, 79)( 62, 84)( 66, 88)( 67, 76)
3423        ( 68, 91)( 72, 96)( 73, 98)( 75,101)( 78,105)( 81,109)( 82,111)
3424        ( 83,113)( 85,116)( 86,118)( 89,102)( 92,117)( 93,126)( 99,133)
3425        (100,135)(103,138)(110,146)(119,153)(121,156)(123,159)(124,160)
3426        (129,165)(130,166)(131,141)(132,169)(134,172)(136,175)(137,177)
3427        (139,163)(140,180)(142,173)(143,184)(144,186)(147,190)(150,193)
3428        (151,192)(154,185)(157,200)(158,202)(161,206)(164,209)(181,214)
3429        (182,226)(183,228)(187,231)(189,234)(195,239)(198,236)(201,245)
3430        (208,251)(210,253)(213,256)(215,259)(219,262)(221,265)(225,266)
3431        (227,268)(229,271)(235,276)(237,278)(238,280)(241,281)(242,283)
3432        (243,285)(247,288)(248,279)(249,290)(250,291)(254,293)(261,269)
3433        (263,300)(267,303)(272,274)(273,287)(282,308)(292,317)(296,314)
3434        (299,320)(310,331)(323,326)(324,340)(327,342)(332,345),
3435      (  1,  3,  6,  9, 15, 22, 33)(  2,  4,  7, 11, 18, 26, 40)
3436        (  5,  8, 13, 20, 29, 45, 64)( 10, 16, 24, 36, 53, 74,100)
3437        ( 12, 19, 28, 43, 61, 83,114)( 14, 21, 31, 47, 67, 90,123)
3438        ( 17, 25, 38, 55, 76,103,139)( 23, 34, 50, 70, 94,128,164)
3439        ( 27, 41, 58, 81,110,147,191)( 30, 46, 66, 89,122,158,203)
3440        ( 32, 48, 68, 92,125,162,113)( 35, 51, 72, 97,131,168,212)
3441        ( 37, 54, 75,102,137,178,222)( 39, 56, 78,106,142,183,126)
3442        ( 42, 59, 60, 82,112,148,192)( 44, 62, 85,117,151,195,111)
3443        ( 49, 69, 93,127,163,208,252)( 52, 73, 99,134,173,217,153)
3444        ( 57, 79,107,143,185,229,272)( 63, 86,119,154,197,241,282)
3445        ( 65, 87,120,155,198,242,284)( 71, 95,129,160,205,249,184)
3446        ( 77,104,140,181,225,267,304)( 80,108,144,187,232,274,239)
3447        ( 84,115,149,116,150,194,238)( 88,121,157,201,246,228,270)
3448        ( 91,124,161,207,146,189,235)( 96,130,167,211,255,295,319)
3449        ( 98,132,170,214,258,298,322)(101,136,176,220,264,302,326)
3450        (105,141,182,227,269,234,275)(109,145,188,233,271,306,329)
3451        (118,152,196,240,276,307,330)(133,171,215,260,291,316,226)
3452        (135,174,218,261,293,209,251)(138,179,223,256,296,320,338)
3453        (156,199,243,286,266,300,324)(159,204,248,289,314,303,327)
3454        (165,193,237,279,186,230,273)(166,210,254,294,318,172,216)
3455        (169,213,257,297,321,177,221)(175,219,263,301,325,341,340)
3456        (180,224,245,287,312,334,345)(190,236,277,308,331,344,253)
3457        (200,244,265,268,305,328,343)(202,247,280,310,332,346,231)
3458        (206,250,292,259,281,311,333)(262,299,323,339,348,350,351)
3459        (278,309,317,337,288,313,335)(283,290,315,336,347,342,349) ] ],
3460[ 6, 9170703360, 0, "2", [ [ 224, 1 ], [ 126, 1 ] ], 1, "PSO(7, 3)",
3461  [ "B", [ 3, 3 ], 1 ],
3462  [ (  1,  2)(  3,  5)(  4,  7)(  9, 13)( 11, 16)( 12, 17)( 15, 21)( 18, 24)
3463        ( 19, 25)( 20, 27)( 26, 33)( 28, 36)( 29, 38)( 30, 40)( 35, 46)
3464        ( 37, 49)( 39, 52)( 41, 55)( 44, 59)( 47, 63)( 48, 65)( 50, 68)
3465        ( 51, 69)( 53, 72)( 56, 75)( 57, 77)( 58, 79)( 61, 83)( 64, 87)
3466        ( 66, 90)( 67, 92)( 70, 94)( 71, 96)( 73, 99)( 74,101)( 76,104)
3467        ( 78,107)( 81,111)( 82,113)( 85,109)( 88,116)( 91,120)( 95,125)
3468        ( 97,128)( 98,130)(100,133)(102,136)(106,117)(112,146)(114,148)
3469        (115,149)(118,151)(123,156)(126,160)(129,163)(132,167)(134,170)
3470        (135,171)(137,174)(139,177)(141,178)(153,185)(158,191)(161,195)
3471        (162,196)(165,199)(168,202)(172,206)(180,214)(181,216)(182,212)
3472        (183,219)(184,221)(187,223)(189,225)(190,227)(193,230)(197,233)
3473        (198,235)(201,237)(204,240)(205,242)(207,244)(209,211)(213,250)
3474        (217,254)(220,257)(226,260)(228,262)(231,265)(236,270)(241,268)
3475        (245,276)(248,273)(249,279)(251,282)(258,272)(267,285)(269,284)
3476        (271,295)(277,300)(278,301)(287,298)(288,309)(292,312)(296,316)
3477        (303,311)(305,323)(306,320)(313,324)(314,328)(317,332)(318,334)
3478        (330,337)(333,341)(338,343)(344,348),
3479      (  1,  3,  6, 10, 15,  7, 11)(  2,  4,  8, 12, 18, 17, 23)
3480        (  5,  9, 14, 20, 28, 37, 50)( 13, 19, 26, 34, 45, 61, 84)
3481        ( 16, 22, 30, 41, 56, 76,105)( 21, 29, 39, 53, 46, 62, 85)
3482        ( 24, 31, 42, 57, 78,108,142)( 25, 32, 43, 58, 80,110,144)
3483        ( 27, 35, 47, 64, 88,117,149)( 33, 44, 60, 82, 77,106,140)
3484        ( 36, 48, 66, 91,121,154,187)( 38, 51, 70, 95,126,161, 68)
3485        ( 40, 54, 73,100,134, 49, 67)( 52, 71, 97,129,164,104,139)
3486        ( 55, 74,102,137,175,210,247)( 59, 81,112, 72, 98,131,166)
3487        ( 63, 86,115,150,128,133,169)( 65, 89,118,101,135,172,207)
3488        ( 69, 93,123,157,190, 83,114)( 75,103,138,176,211,248,242)
3489        ( 79,109,143,180,215,252,185)( 87,107,141,179,120,153,186)
3490        ( 90,119,152,184,222,160,194)( 92,122,155,188,224,233,267)
3491        ( 94,124,158,192,229,111,145)( 96,127,162,197,234,268,292)
3492        ( 99,132,168,203,239,273,298)(113,147,178,213,151,183,220)
3493        (125,159,193,223,130,165,200)(136,173,208,245,277,163,198)
3494        (146,181,217,171,205,219,256)(148,182,218,255,285,265,290)
3495        (156,189,226,206,243,199,236)(167,201,238,272,297,318,300)
3496        (170,204,241,275,279,303,321)(174,209,246,278,302,225,259)
3497        (177,212,249,280,304,322,335)(191,228,263,289,309,221,258)
3498        (195,231,214,251,283,306,325)(196,232,266,291,311,276,202)
3499        (216,253,257,286,307,326,312)(227,261,282,305,324,337,344)
3500        (230,264,254,284,301,320,328)(235,269,293,313,327,338,345)
3501        (237,271,296,317,333,343,334)(240,274,299,319,250,281,244)
3502        (260,287,308,295,315,330,340)(262,288,310,316,331,341,347)
3503        (270,294,314,329,339,346,349)(323,336,332,342,348,350,351) ] ],
3504[ 7, 4245696, 1, "2", [ [ 224, 1 ], [ 126, 1 ] ], 1, "G(2, 3)",
3505  [ "G", 3, 1 ],
3506  [ (  1,183,136,258, 64, 38,160,151,190,176,303,300)(  2,234,177,245,268, 26,
3507         51,150,138, 24,129,142)(  3,312,292,246,200,228, 86,152,193,278,304,
3508          83)(  4, 16, 56,295,156,174,263, 92,269,209,270,277)
3509        (  5,334, 12,272,207,194, 65,238,198,265,333,253)(  6,206,280, 22,159,
3510         154, 89,148,232,330,267,240)(  7,336, 87,237,116,239,315,227, 55,109,
3511         78,199)(  8,102, 34,338,192, 31, 37,217,242,344,313,133)
3512        (  9,119,208,314,255,141,310, 18,113,172,282,266)( 10, 33,121,181,281,
3513         147, 61,345, 66,179, 81,241)( 11, 59,331,124)( 13,214, 49,140,254,
3514         123,257,210,324,178,339,307)( 14, 73,251,294, 27,168, 68,297,162,126,
3515         221,104)( 15,105,259,191,249, 48, 74, 84,215,351, 75,279)
3516        ( 17,163,289,262,350,248, 39,166, 46, 82, 88,225)( 19,349,216,311,261,
3517         171,220,305,189, 54,145,205)( 20,318, 41,323, 42,233,302, 98, 60, 80,
3518         218,155)( 21,167,226, 90,247,197,196,212,157,131, 69,285)
3519        ( 23, 36,284,114,231,132)( 25, 44,319,213,322,309,180,342, 58,290, 57,
3520         71)( 28,182,153,201,299,187,343,101, 40,185, 77,308)( 29,340,115,244,
3521         195, 72,286, 47,202,184, 96, 85)( 30,118,271,346,320,223,164,106,326,
3522         243,236,287)( 32,135,301,250, 76,158)( 35,173,144,276,211,306,325,
3523          62,288,117,222, 45)( 43,169,230, 79,204,252,188,146,229,137, 93,107)
3524        ( 50,329,293, 63)( 52, 53,291, 70,111,321,112,283,122, 97,274,149)
3525        ( 67,100,139,275,260,327,161, 95,341,332,347,235)( 91,256,298,186,127,
3526         99,328,110,273,128,348,143)( 94,103,130,108)(120,203,316,337)
3527        (125,175,264,219)(134,335,165,224),
3528      (  1,157, 72,268, 63,159,237)(  2,341,202,248,329,187,266)
3529        (  3, 42, 62,128,164,179,313)(  4,336, 38,100, 73,278,337)
3530        (  5,282,146,227,251,182, 35)(  6,349,258, 89,348, 55,181)
3531        (  7,221,155,264,214,  8,259)(  9,223,203,163,286,143,299)
3532        ( 10, 64,106,328,347,167,217)( 11, 40, 22,212,277,123,195)
3533        ( 12, 74,126,156,307, 76,124)( 13, 69,148,196, 20,198,306)
3534        ( 14,249,211,325,270,243,289)( 15, 91,280,133, 60,116,315)
3535        ( 16,138,232, 52,114, 84,218)( 17,108, 98,206,252, 36, 85)
3536        ( 18,318,246, 90,267,208,326)( 19, 61,272,242,324, 92,331)
3537        ( 21,295,284,323, 65,263,344)( 23,130,350,229,172,101,170)
3538        ( 24,178,194,225,107,327,144)( 25,129,228,189,222,135,220)
3539        ( 26,231,185,302,173,271,117)( 27,186,120,312, 28,342, 56)
3540        ( 29,319, 49,234,165, 88,279)( 30,200,255,253,314,102,175)
3541        ( 31,346,300, 86,254,136,121)( 32, 82, 46,176,122,150,309)
3542        ( 33, 68,317,204,219,180,171)( 34,192,235,132,233,322, 66)
3543        ( 37, 41,151,226, 93, 99,250)( 39,238,273,184,162,239, 43)
3544        ( 44,152,304, 53, 51,134,141)( 45,245, 87,110,261,351,303)
3545        ( 47,115,109, 50,183, 83,340)( 48,292,158,201,333,236,298)
3546        ( 54,338, 71, 95,112,147,290)( 57, 58,113, 80,199,216,301)
3547        ( 59,154,166,320,265,283,168)( 67,288,161,281,345,293, 94)
3548        ( 70,207,343,142,145,332,276)( 75, 81,244,103, 96,140,257)
3549        ( 77,274,310,296,125,335,287)( 78,210,111,262,224,247,104)
3550        ( 79,339, 97,240,297,190,316)(105,294,308,330,256,275,149)
3551        (118,119,241,260,193,131,174)(127,160,139,230,291,209,191)
3552        (137,311,213,321,197,153,169)(177,269,215,334,205,188,305) ] ],
3553[ 8, 5444434725209176080384000000, 1, "2", [ [ 300, 1 ], [ 50, 1 ] ], 1,
3554  "Alt(27)", [ "A", 27, 1 ],
3555  [ (  2,  3,  5,  8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
3556         173,192,212,233,255,278,302)(  4,  7, 11, 16, 22, 29, 37, 46, 56, 67,
3557         79, 92,106,121,137,154,172,191,211,232,254,277,301,326,351)
3558        (  6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91,105,120,136,153,171,190,
3559         210,231,253,276,300,325,350,327)(  9, 14, 20, 27, 35, 44, 54, 65, 77,
3560         90,104,119,135,152,170,189,209,230,252,275,299,324,349,303,328)
3561        ( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,134,151,169,188,208,229,
3562         251,274,298,323,348,279,304,329)( 18, 25, 33, 42, 52, 63, 75, 88,102,
3563         117,133,150,168,187,207,228,250,273,297,322,347,256,280,305,330)
3564        ( 24, 32, 41, 51, 62, 74, 87,101,116,132,149,167,186,206,227,249,272,
3565         296,321,346,234,257,281,306,331)( 31, 40, 50, 61, 73, 86,100,115,131,
3566         148,166,185,205,226,248,271,295,320,345,213,235,258,282,307,332)
3567        ( 39, 49, 60, 72, 85, 99,114,130,147,165,184,204,225,247,270,294,319,
3568         344,193,214,236,259,283,308,333)( 48, 59, 71, 84, 98,113,129,146,164,
3569         183,203,224,246,269,293,318,343,174,194,215,237,260,284,309,334)
3570        ( 58, 70, 83, 97,112,128,145,163,182,202,223,245,268,292,317,342,156,
3571         175,195,216,238,261,285,310,335)( 69, 82, 96,111,127,144,162,181,201,
3572         222,244,267,291,316,341,139,157,176,196,217,239,262,286,311,336)
3573        ( 81, 95,110,126,143,161,180,200,221,243,266,290,315,340,123,140,158,
3574         177,197,218,240,263,287,312,337)( 94,109,125,142,160,179,199,220,242,
3575         265,289,314,339,108,124,141,159,178,198,219,241,264,288,313,338),
3576      (  1,  2,  4)(  3,  6,  7)(  5,  9, 11)(  8, 13, 16)( 12, 18, 22)
3577        ( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)( 38, 48, 56)( 47, 58, 67)
3578        ( 57, 69, 79)( 68, 81, 92)( 80, 94,106)( 93,108,121)(107,123,137)
3579        (122,139,154)(138,156,172)(155,174,191)(173,193,211)(192,213,232)
3580        (212,234,254)(233,256,277)(255,279,301)(278,303,326)(302,327,351) ] ],
3581[ 9, 10888869450418352160768000000, 0, "2", [ [ 300, 1 ], [ 50, 1 ] ], 1,
3582  "Sym(27)", [ "A", 27, 1 ],
3583  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
3584          91,101,111,122,133,145,157,170,183)(  4,  6,  8, 11, 14, 18, 22, 27,
3585         32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,184,
3586         198,197)(  9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,
3587         103,113,124,135,147,159,172,185,199,212,211,225)( 16, 20, 24, 29, 34,
3588         40, 46, 53, 60, 68, 76, 85, 94,104,114,125,136,148,160,173,186,200,
3589         213,227,226,239,253)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,
3590         115,126,137,149,161,174,187,201,214,228,241,240,254,267,281)
3591        ( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,138,150,162,175,188,
3592         202,215,229,242,256,255,268,282,295,308)( 49, 56, 63, 71, 79, 88, 97,
3593         107,117,128,139,151,163,176,189,203,216,230,243,257,270,269,283,296,
3594         309,319,328)( 64, 72, 80, 89, 98,108,118,129,140,152,164,177,190,204,
3595         217,231,244,258,271,285,284,297,310,320,329,336,342)( 81, 90, 99,109,
3596         119,130,141,153,165,178,191,205,218,232,245,259,272,286,299,298,311,
3597         321,330,337,343,347,350)(100,110,120,131,142,154,166,179,192,206,219,
3598         233,246,260,273,287,300,280,294,307,318,327,335,341,346,349,351)
3599        (121,132,143,155,167,180,193,207,220,234,247,261,274,288,301,312,252,
3600         266,279,293,306,317,326,334,340,345,348)(144,156,168,181,194,208,221,
3601         235,248,262,275,289,302,313,322,224,238,251,265,278,292,305,316,325,
3602         333,339,344)(169,182,195,209,222,236,249,263,276,290,303,314,323,331,
3603         196,210,223,237,250,264,277,291,304,315,324,332,338),
3604      (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
3605        ( 90,100)(110,121)(132,144)(156,169)(182,196)(183,197)(198,211)
3606        (210,224)(212,226)(227,240)(238,252)(241,255)(256,269)(266,280)
3607        (270,284)(285,298)(294,299) ] ],
3608[10, Factorial(351)/2,1,"2",[[350,1]],349, "Alt(351)", ["A",351, 1], "Alt"],
3609[11, Factorial(351),0,"2",[[350, 1]],351, "Sym(351)", ["A",351, 1], "Sym"]];
3610PRIMGRP[352]:=
3611[[1, Factorial(352)/2,1,"2",[[351,1]],350, "Alt(352)", ["A",352, 1], "Alt"],
3612[2, Factorial(352),0,"2",[[351, 1]],352, "Sym(352)", ["A",352, 1], "Sym"]];
3613PRIMGRP[353]:=
3614[[1, Factorial(353)/2,1,"2",[[352,1]],351, "Alt(353)", ["A",353, 1], "Alt"],
3615[2, Factorial(353),0,"2",[[352, 1]],353, "Sym(353)", ["A",353, 1], "Sym"],
3616[ 3, 353, 3, "1", [ [ 1, 352 ] ], 1, "C(353)", [ "Z", 353, 1 ], [  ] ],
3617[ 4, 706, 2, "1", [ [ 2, 176 ] ], 1, "D(2*353)", [ "Z", 353, 1 ],
3618  [ [ [ Z(353)^176 ] ] ] ],
3619[ 5, 1412, 2, "1", [ [ 4, 88 ] ], 1, "353:4", [ "Z", 353, 1 ],
3620  [ [ [ Z(353)^88 ] ] ] ],
3621[ 6, 2824, 2, "1", [ [ 8, 44 ] ], 1, "353:8", [ "Z", 353, 1 ],
3622  [ [ [ Z(353)^44 ] ] ] ],
3623[ 7, 3883, 2, "1", [ [ 11, 32 ] ], 1, "353:11", [ "Z", 353, 1 ],
3624  [ [ [ Z(353)^32 ] ] ] ],
3625[ 8, 5648, 2, "1", [ [ 16, 22 ] ], 1, "353:16", [ "Z", 353, 1 ],
3626  [ [ [ Z(353)^22 ] ] ] ],
3627[ 9, 7766, 2, "1", [ [ 22, 16 ] ], 1, "353:22", [ "Z", 353, 1 ],
3628  [ [ [ Z(353)^16 ] ] ] ],
3629[ 10, 11296, 2, "1", [ [ 32, 11 ] ], 1, "353:32", [ "Z", 353, 1 ],
3630  [ [ [ Z(353)^11 ] ] ] ],
3631[ 11, 15532, 2, "1", [ [ 44, 8 ] ], 1, "353:44", [ "Z", 353, 1 ],
3632  [ [ [ Z(353)^8 ] ] ] ],
3633[ 12, 31064, 2, "1", [ [ 88, 4 ] ], 1, "353:88", [ "Z", 353, 1 ],
3634  [ [ [ Z(353)^4 ] ] ] ],
3635[ 13, 62128, 2, "1", [ [ 176, 2 ] ], 1, "353:176", [ "Z", 353, 1 ],
3636  [ [ [ Z(353)^2 ] ] ] ],
3637[ 14, 124256, 2, "1", [ [ 352, 1 ] ], 2, "AGL(1, 353)", [ "Z", 353, 1 ],
3638  [ [ [ Z(353) ] ] ] ]];
3639PRIMGRP[354]:=
3640[[ 1, 21993312, 1, "2", [ [ 353, 1 ] ], 2, "PSL(2, 353)",
3641  [ "L", [ 2, 353 ], 1 ], "psl" ],
3642[ 2, 43986624, 0, "2", [ [ 353, 1 ] ], 3, "PGL(2, 353)",
3643  [ "L", [ 2, 353 ], 1 ], "pgl" ],
3644[3, Factorial(354)/2,1,"2",[[353,1]],352, "Alt(354)", ["A",354, 1], "Alt"],
3645[4, Factorial(354),0,"2",[[353, 1]],354, "Sym(354)", ["A",354, 1], "Sym"]];
3646PRIMGRP[355]:=
3647[[1, Factorial(355)/2,1,"2",[[354,1]],353, "Alt(355)", ["A",355, 1], "Alt"],
3648[2, Factorial(355),0,"2",[[354, 1]],355, "Sym(355)", ["A",355, 1], "Sym"]];
3649PRIMGRP[356]:=
3650[[1, Factorial(356)/2,1,"2",[[355,1]],354, "Alt(356)", ["A",356, 1], "Alt"],
3651[2, Factorial(356),0,"2",[[355, 1]],356, "Sym(356)", ["A",356, 1], "Sym"]];
3652PRIMGRP[357]:=
3653[[ 1, 987033600, 1, "2", [ [ 100, 1 ], [ 256, 1 ] ], 1, "PSL(4, 2^2)",
3654  [ "L", [ 4, 4 ], 1 ],
3655  [ (  1,265, 59,335,141,272,234,245,356, 60,189,312,355,328,175,126,210,110,
3656         108,165,339,207,135, 30, 80, 16, 69, 49,160,309, 65,270,145, 78,275,
3657         155,297,322,282,300,292,260, 12,345,354,267,278,201,318,235,132, 94,
3658          54,146,154, 17,211, 90,291,193,329,357,330,  5,172, 96, 47, 63,285,
3659          23,353,249,299,219,131,150, 32,264, 25,205,  3,262,251,174, 45)
3660        (  2,156,123,326,266,311,204, 85, 10,147,248,324,100,125,332,341,344,
3661         237, 41,129, 81,144,290, 29,323,162,252,157,250,143,121,  9, 18,215,
3662         206,120,112, 19,254, 71,314,138, 20,203, 89, 73, 52, 62,225,101, 40,
3663         184,212,224,247,152, 35,232,102,231,158, 11, 37,194,228, 36,  8,294,
3664          95, 51,124, 70, 48,115,346,217, 67, 38,301,209,128,223, 39,227,259)
3665        (  4, 24,253,216,333,286,142, 79,338, 61,  6,183,261, 74,303,127,149)
3666        (  7, 34, 83,153,348,284,236,122,187,188,256,220, 84,169,196,176,107,
3667         171,244,342, 75,321,274,268,222,351, 64,302,305, 77,276, 72,239,214,
3668         310,213,258,182,202, 58,246,295,331, 44,105,163,199,240, 82,280, 55,
3669         255,283,137, 43,104,113,191,241,308, 99,242,336,317,313,167, 92,327,
3670         340,133,198,350,287,226,307, 76,343, 26, 50,229,111,316, 87, 46,238)
3671        ( 13,257,177, 97,277,200,197,186,130,159,192,168,273,148,349,337, 91,
3672         208,263,178,136,296,103,269,320,347, 66, 98,304, 22, 53,243,140,179,
3673         271, 86,106,173,195,319, 14,293,117, 56, 57,352, 33,281,190,185,288,
3674         151,230,298,315, 28, 15,218,233,180, 42,289,119,221,134,325,164,139,
3675         114,116, 88,166, 93,279, 21,118,306,181,334, 31, 27,109,170, 68,161),
3676      (  1,109,187, 12,346,100,341, 15,338, 46, 56,182,339,273,342)
3677        (  2,291,156,290, 20, 51, 31,243,159, 33, 45, 21,151,292, 93,  5,127,
3678         114,289,325, 54,310,337, 27, 43,234,200, 89,203, 35)(  3,194,229,198,
3679         85,236,329,356,152,266,349,136,230,142,  4,354,285, 11,227,277, 68,
3680         283,319, 47, 76,352,199,131,195,316)(  6,113,130,119,185,294,318, 10,
3681         307,353,256,272,124,320,190)(  8, 59, 57,282,265,232,233,158,125,313)
3682        (  9,179,245,108, 84,308,166,111,274,115,143,169,255,138,211,357,252,
3683         133, 69, 24, 66,167,326, 40, 88,154,209,219,192,140)( 13,271, 50,315,
3684         38,153,189,299,104,302,212,121, 29,106, 98,240,305,304,254,323, 16,
3685         278,172,225,300,183, 79,351,288, 63)( 14,335,117, 22, 72,201,347,350,
3686         224,270,247,330,196,248, 48,314,281,123, 53,107, 81,168, 18,297,112,
3687         235,296,144,276,317)( 17,239, 32,340, 94,145,222,215,134,105,268,295,
3688         71, 70, 34,122,258,204,231, 92,216,174,146,269,226,259, 65,132,303,
3689         155)( 19,210,334,220,332, 42,324,193,147,180,260,176,173,141,135,327,
3690         298, 30,264,321,197,333, 52, 86, 58,250,181,223, 77,129)
3691        ( 23,164, 62,116,331,287, 55,184,306,213,241,221,311,261, 64,149,251,
3692         126, 28,110, 95,228,309,118,163, 82,128,102,139, 73)( 25,355,237, 36,
3693         348)( 26,157,257,242, 99,186,171,101,103,177,343,120,160, 78, 49,336,
3694         80, 74,191, 60,246,165,322, 83,263,249,150,161,312, 39)
3695        ( 37, 41, 87,148,253,238,293,217,280,188, 96, 61,162,202, 90,345, 44,
3696         328,137,207, 97,170, 91, 75,208,284,267,344,206,205)( 67,286,262,244,
3697         279,175,178,214,301,275) ] ],
3698[ 2, 1974067200, 0, "2", [ [ 100, 1 ], [ 256, 1 ] ], 1, "PSL(4, 2^2).2",
3699  [ "L", [ 4, 4 ], 1 ],
3700  [ (  1,196, 71,155,118,  7,156,170)(  2, 29, 70,201,212,113,260,293)
3701        (  3, 33,310,289,198,172,148, 97)(  4,187, 20,106,  9,324,321,145)
3702        (  5,348,351, 44,243,197,327,272)(  6,181, 69, 74, 17, 54,199, 87)
3703        (  8, 56,322,127, 93, 83, 30,107)( 10,175,262,116,240,346, 24,242)
3704        ( 11, 22, 35, 48,335,132, 34,104)( 12, 21,354,229,204,129, 38,103)
3705        ( 13,253, 67,154,203,237,179,138)( 14,188,111, 51,161, 90,357, 52)
3706        ( 15,189,305, 84, 95,333,143, 94)( 16,152, 60,344, 96,306,275, 98)
3707        ( 18,144,313,287,202,286,153,123)( 19,102,304,319,303,300,264,259)
3708        ( 23,343,337,298)( 25,215,125,326,151,220,157,296)( 26,250, 28,164,
3709         339,185,112,214)( 27,302,147,141,114,336,273,213)( 31,120,277, 76,
3710          63,105,291, 79)( 32, 66, 81,159,228,309, 91,146)( 36,248,274,356,
3711         234,193,323,217)( 37,186, 53,283,174,307,134, 41)( 39,221,263, 43,
3712          62,329,194,117)( 40,350,318,208)( 42,280,340,338,177,110,281,299)
3713        ( 45,206, 58,101,285,257,251,269)( 46,279, 80,314)( 47,160,205,178,
3714         216,353,342,108)( 49,128,119,334, 61, 57,158, 50)( 55,258, 59,140,
3715         278, 73,209,308)( 64,233,133,195)( 65,136,249,231,176,256,241,341)
3716        ( 68,247,165,135,330,276,349,131)( 72, 86,355, 77,109,311,297,210)
3717        ( 75,345,100, 85,266,268,173,223)( 78,192,122,162,191,200,211,124)
3718        ( 82,315,312,236,183,163,235, 92)( 88,168,171,244,325,328,255,230)
3719        ( 89,232,270,332,226,222,295, 99)(115,347,292,252)(121,142,227,265,
3720         284,238,245,126)(130,254,182,316,139,149,288,180)(137,225,331,150,
3721         190,261,267,224)(166,169,301,320,207,218,219,239)(184,317,290,271,
3722         294,246,282,352), (  1,308,234,322,225, 10,266,164,180,313)
3723        (  2,294,142, 65,150, 23,247, 40,256,265)(  3, 25,356,139,296,213, 73,
3724         111,303,231)(  4,273, 95,158,105,324,239,309,210,112)
3725        (  5, 68,173,219,318, 11, 27,200, 93,187)(  6,  7, 47,122,137,235,295,
3726         78,204, 50)(  8,183,267, 97, 64,123,321,193,243,355)(  9, 76,336, 81,
3727         253,245, 31,333,110,346)( 12,159, 22,149,270,353,236, 30, 37, 48)
3728        ( 13,261,254,163,146, 36,194,117,332, 52)( 14,343,155,157,217,339,269,
3729         133,108,177)( 15,338,249,268, 77,203,161, 96,178,263)
3730        ( 16, 21,166,259, 86,201, 38,218,221,172)( 17,143,205,306,190,131,274,
3731         59,223, 74)( 18, 54,118, 85,226,262, 44,323, 75,328)( 19, 55,258, 53,
3732         302,141,241,341,280,284)( 20,286,167, 45,331, 92, 84,342,103,174)
3733        ( 24,128)( 26,151,186,130,125,305, 60,304,349,152)( 28,202,147, 51,
3734         246,282,127,325,250, 43)( 29, 82, 83,248,310,298,242,199,291,115)
3735        ( 32,257,251,175,195,224,124,136,252, 79)( 33,293,129,334,116,148,191,
3736         113,277,312)( 34, 90,290,271, 88, 39, 67,119,316, 66)
3737        ( 35,287,272,233,244,350, 89,289,179, 69)( 41, 91,134,276,121,189,327,
3738         300,264,154)( 42,208,165,275,347)( 46,153,184,214, 80,207,222, 99,
3739         255,329)( 49,135,301,351,317,357,185,283,335, 87)( 56,314)
3740        ( 57,120,228,101,182,281,156,170, 58,320)( 61,145)( 62,107,188,330,192
3741         )( 63,340,237,198,326)( 70,337,232,288,126,162,176, 71,171,279)
3742        ( 72,238,140,348,354,227,311, 98,240,212)( 94,160,114,345,292,299,100,
3743         104,229,109)(102,168,197,216,344,181,138,144,215,285)
3744        (106,169,196,211,319)(132,315)(206,220)(230,297)(260,278)(307,352) ]
3745 ],
3746[ 3, 1974067200, 0, "2", [ [ 100, 1 ], [ 256, 1 ] ], 1, "PSL(4, 2^2).2",
3747  [ "L", [ 4, 4 ], 1 ],
3748  [ (  1, 24,212,325,119,286, 15, 65,308,296, 69,110)(  2,167,180,293,188,291,
3749         231, 90, 75,353,175, 93)(  3, 13, 67,216,141,208,238, 91,205,126, 83,
3750         166)(  4,351,111,339,259, 81,171,177,159, 12,103,143)
3751        (  5, 23,222, 39,337,213,123,132,  9,340,116,279)(  6, 52,250,117,104,
3752         137,170, 22,297, 49,343,160)(  7,260,312,120, 63,267,125,127,288,155,
3753         287,320)(  8,254,204, 18,319,161,236,302,270, 55,333,280)
3754        ( 10, 58,347, 30,194,228,282,148,336, 72,266,134)( 11,163,206,345, 88,
3755         299,356,357,203,321,257,269)( 14,237,135, 82,252,263, 37,218,217, 26,
3756         169,128)( 16, 73,354,235,276, 43,255,313, 57,115,118, 98)
3757        ( 17, 20,198,136,165, 21)( 19, 79,274, 48,311, 40,242,223,272,264,215,
3758         307)( 25,197,168,227,318,332,182,139,105,200, 44,284)
3759        ( 27, 64,294,214,146, 47,178, 87, 61,124,173,283)( 28, 85,261,149,306,
3760         80,220,248,281,191,195, 42)( 29,300, 56,162,202, 94,234,310,338,240,
3761          68,309)( 31, 33,192,229,224,154, 86,156,190,181, 35,183)
3762        ( 32,145, 76,246)( 34,341,189,152,199, 45,107,355, 77, 78,305,221)
3763        ( 36,244,329,122,108,150,109,290,106,323,185,334)( 38,316,179,271,330,
3764         209)( 41,315, 46,157,232,207,256,147,342,335,292, 59)( 50, 51,210)
3765        ( 53,151,268,225,239,129,249,186,278,193,158,344)( 54,230,144, 70,100,
3766         187)( 60,348,298,273,164,303)( 62, 95,142,285,258,349, 89,114,277,
3767         112, 97,328)( 66,314,352,138,176,102,201, 96,265,113,324,121)
3768        ( 71,245, 84,243,219,301,327,153,289,317,322,295)( 74,133,211,101)
3769        ( 92,253,233)( 99,131)(130,275,241,326,140,350,262,174,226,331,247,172
3770         )(196,251,346), (  1,349,111,297,345,  5)(  2,237,107,279, 71,217)
3771        (  3, 14,160,132,327,243)(  4,319,240, 29,257, 28)(  6,100,215,133,
3772         242, 57)(  7,300,196, 82,174,116)(  8, 49,187,312,169, 80)
3773        (  9,245,211,326,175,286)( 10,151,177,249, 48,285)( 11,184,303,260,
3774         171,195)( 12, 53,140, 27,207, 39)( 13,236,310,210,241,128)
3775        ( 15,227,167,136,202, 50)( 16,320,277, 20, 54,146)( 17,152,102)
3776        ( 18,295,336)( 19,113,306,322,172, 22)( 21,308,127,328,307, 46)
3777        ( 23,197,270,153,323, 76)( 24,139,188,272,355, 85)( 25,120,179,106,
3778         148,123)( 26, 58,159,223, 43,271)( 30,208, 38,232,161,162)
3779        ( 31,254,181,247, 45,309)( 32,204,324, 94,221,235)( 33, 87,122, 59,
3780          34,137)( 35,234, 52,194,165,230)( 36,118,219,354,284,304)( 37,180)
3781        ( 40,109, 61)( 41,293,341,282,262, 44)( 42,206,126, 91,183, 90)
3782        ( 47,233,251,273,121,301)( 51,283,268)( 55,198,105, 99, 78,173)
3783        ( 56,104,178,112,238,231)( 60, 79,296,350,352,332)( 62,191,101,287,
3784         258,325)( 63,228,200)( 64,115,305,205,340,338)( 65, 67,110, 75,353,
3785         339)( 66,166, 84)( 68,298,250,119,216,316)( 69,214,192)
3786        ( 70, 93, 83,203,356,129)( 72, 77,269,290,114,190)( 73,149,299,225,
3787         314,134)( 74,256,147,213,103,176)( 81,280,220,313,335,253)
3788        ( 86,351,135,315,222,130)( 88,244,252,209,143,275)( 89,189,276,124,
3789         145,185)( 92,292,163,333,193,263)( 95, 97)( 96,246)( 98,281,288)
3790        (108,138,125,170,348,182)(117,346,329,357,239,265)(131,168,144,347,
3791         142,278)(141,201,157)(150,311,294)(154,266,344,164,342,289)
3792        (155,261,226)(156,264,199,259,186,331)(158,337)(212,224,321,334,291,
3793         330)(218,274)(229,343,318,302,248,317) ] ],
3794[ 4, 1974067200, 0, "2", [ [ 100, 1 ], [ 256, 1 ] ], 1, "PSL(4, 2^2).2",
3795  [ "L", [ 4, 4 ], 1 ],
3796  [ (  1,339,350,327,205,317,163,116,132,167, 73,237)(  2,296,259, 70,307,  4,
3797         162, 51,117,207,135,273)(  3,105,306,332,223,147,137,141,234,261,263,
3798         78)(  5,217, 54, 50,170,103,298,304,353,240,187,348)(  6,336,244, 60,
3799         293,  8,139,144,123,241,335,230)(  7,297, 91,228,156, 41,308,146, 16,
3800         245,300, 32)(  9,315,142,266, 44,281,229,246,126,168,287,214)
3801        ( 10,349, 25, 18, 87, 61,249,148,276,121,343, 43)( 11,112,256,152,140,
3802         267,153,284, 89,275,250, 83)( 12,342,128,212,243,149,195,310, 90,264,
3803         160, 13)( 14,235,355, 29,301,299,208,238, 68,224, 19, 79)
3804        ( 15,134,216,202, 67,173,222, 37, 23, 76,318,295)( 17, 84, 55,248,233,
3805         106, 58,311,330, 34, 98,185)( 20,209,286,213,316,136, 80,177,179, 38,
3806         81,219)( 22,258, 64,182,338,176,118, 53,193,204,282,104)
3807        ( 24, 99,272,345)( 26,191, 63, 69,159, 48,277,239,129, 46,181,180)
3808        ( 27,323,302,154, 30,169, 96,201,326,199, 31,283)( 28,265,138,280,188,
3809         133,161, 74, 36,319,211,113)( 33,262, 95,124,255, 88,192,194,125,354,
3810         127,145)( 35,285,130,337,115,320,257,218,269,174, 57, 71)
3811        ( 39,203, 65,346)( 40,314,290,100, 49, 86,197,210,231,254,157,303)
3812        ( 42,324,215, 92,143,270,108,198,110, 97, 85,184)( 45,334, 93,232,186,
3813         268)( 47,305, 59,226,183,122,325,347, 66,252,171,236)
3814        ( 52,279,253,289, 56,351,271,329,225,322,165,107)( 62,166,247,341,356,
3815         242)( 72,331,178)( 75, 82,357,114,119,111,313,190,158,344,172,260)
3816        ( 77,196,251,340)( 94,189,131,274)(101,220,151,278,333,175,291,292,
3817         352,109,221,150)(102,328,294)(120,200,321,288)(206,312,227,309),
3818      (  1,225, 87,275,250,109,335,265,  4,213,153,135,283,296, 32,151,138,
3819         183,119,349, 72,228,181,318,242,326,193,282,161,188)(  2, 25,232, 88,
3820         141,291, 14,217,316, 94,293,126, 82,336, 83,115,147,113,330,256,231,
3821         254,292,124, 13, 22, 37, 53,253,127)(  3, 24,  8,171, 98,216,172,241,
3822         108, 95,302, 18,130, 45,175,178,191, 10,148,116, 56,208, 64,146,311,
3823         338,162,266,252,223)(  5, 31,168,214, 42,132,111,205,165, 58,272, 12,
3824         78, 63,278,160,110, 65,198, 59, 49,186,106, 66,301, 76,300, 61, 38,
3825         177)(  6,155,143,333,261,167,284,243, 21,280,123,342,105,287, 84,279,
3826         159,259,233,323,340,248,308,347,268, 43,107,299,179,221)
3827        (  7,199, 23,238,317,203,174, 74,182,267, 33, 29,297, 27,244)
3828        (  9,321,157, 11,207, 48,219,249,206,121,114, 46,134,140,185)
3829        ( 15, 77,194,325, 93,322,103,236,169,235,306,294,154,234,112,120,320,
3830         229,351,104, 96,166,176,224,343,218,220,270,102, 75)( 16,187,277, 60,
3831         101,196,354,164,142,230, 89, 51,133, 70,118, 99,145,348,246,303,255,
3832         210,258,298, 57,346, 97, 50,276,273)( 17, 80,117,334,329, 20,281, 39,
3833         310,212,209,129, 40, 34,202)( 19, 36,149,204,163,222,237,290,352,200,
3834         137,239,139, 47,227,313, 85,269,226,128,211, 86,192,262, 41,337,345,
3835          28,324,260)( 26, 92, 91,353,315)( 30,152,319,344,264,286,327,271,
3836          35,170,341, 81,257,295, 79,332,197,136,305,307,195, 68,201,289, 73,
3837         150,350,184, 44,274)( 52,158, 71,312,173,285,339,190,247, 69,180,331,
3838         240,125,122)( 54,131,144,304,100)( 55,156,263,215,314,189,356,309,
3839          90,245, 67,288,357,328,355)( 62,251) ] ],
3840[ 5, 3948134400, 0, "2", [ [ 100, 1 ], [ 256, 1 ] ], 1, "PSL(4, 2^2).2^2",
3841  [ "L", [ 4, 4 ], 1 ],
3842  [ (  1,304,322,232, 25,340,176, 76,248, 45)(  2,211, 77,315,224,  5,114,316,
3843         246,336)(  3, 87, 56, 48,258,158,343, 15, 97, 22)(  4,276,172,134,
3844         115,219,242,109,293,309)(  6,296,141, 31,207, 29, 74,215,149, 26)
3845        (  7, 34,333,221, 73,196,247,273,307,143)(  8, 30,209,181, 70, 65,  9,
3846         173,251,130)( 10,234,129, 79,238,303,237,137,193,329)
3847        ( 11,220, 62,306,128,187,213,148,152,272)( 12,223, 39,230,185)
3848        ( 13,297,170, 82,190,254, 67,350,112,108)( 14,162, 94,146,271,156,236,
3849         122,255, 19)( 16, 91,225,217,270,174,261, 28, 57,337)
3850        ( 17,145,283,335, 88, 58,150,157,194,161)( 18,285, 24, 55,127, 40,216,
3851         266,341, 89)( 20,330,226,164,252,275,334,107,356, 95)
3852        ( 21,229,288,117,245,264,100, 90,338,313)( 23,321, 59,200,263, 64,160,
3853         151,168, 36)( 27,218, 52,110,282,249,299,165,133, 51)
3854        ( 32,351,349,311,231,105,353,186, 86,342)( 33,201,120,166,197,300,121,
3855         281, 72,233)( 35, 78,256,352,180, 63,292,318,240,250)
3856        ( 37,104,314,253,184,241,312,326,175,332)( 38,131,183, 66,244,286,298,
3857         159,280,198)( 41,257,222,317, 54,113,357,301, 80,125)
3858        ( 42,319,328,177,290,291, 50,212,355,142)( 43, 85,155, 46, 49)
3859        ( 44,182, 93,204, 68,294,228,178,167,239)( 47,274,214,147,310,103,269,
3860         99,179,154)( 53,243,118,268, 83,344,345,188,331,208)( 60,163,308,320,
3861         136,262,347,305, 69,135)( 61,302,169,278, 71)( 75,265, 81,124,191,
3862         327,259,171,144,295)( 84,324,284,132,153, 96,346,101,206,227)
3863        ( 92,140,203,139,192,260,111,116,354,267)( 98,189,199,102,123,323,277,
3864         126,287,339)(106,348,235,279,195)(119,289,210,205,202),
3865      (  1, 81, 73,222, 12,119,295, 16,235,124)(  2,143,353, 18,232, 43, 91,
3866         338, 82, 22)(  3,216,217,350,329,167,140,154,241, 51)
3867        (  4, 55,313,278, 15, 52,146,116,340,320)(  5, 54, 76,120,218, 33,283,
3868         343,186,256)(  6, 28, 77, 99,282, 46,265,200,250, 23)
3869        (  7,102,162, 32,215,346,270, 72,170,228)(  8,294,158,335,211, 53,342,
3870         303, 40,145)(  9, 71,268, 27,214,127,356,106,160,305)
3871        ( 10,297,149,112,210,109,302,125,311,136)( 11, 25, 29, 78,304,191,355,
3872         345,267,285)( 13,110)( 14,309,315,351,251,258,147,148, 37, 42)
3873        ( 17, 97, 95,317, 56, 30, 69,123,142,185)( 19,357,130,336,134,230,291,
3874         339,202, 79)( 20,165,324,173,163,333,223,325,171,213)
3875        ( 21,253,204,231,193,141,321,293,189,316)( 24,184,312,175, 50,157, 86,
3876         61, 59,194)( 26, 39,292,279,330,206, 83,322, 92,176)( 31,108,179,131,
3877         288,151,238,180,327,259)( 34,318,111,246, 70,261,100, 41,150, 57)
3878        ( 35,104, 67,156,164,192, 85,233, 87,197)( 36,337,225,114,254,348,152,
3879         277,328,137)( 38,203,299,195,263,301,101,347, 48,219)
3880        ( 44,281,354,249,139,326,274,166,266,155)( 45,334,144,159, 89,284,122,
3881         286,161,310)( 47, 84,239, 93,242,243, 80,314,138,229)
3882        ( 49,168,264, 58,280,103,172,227,252, 88)( 60,199,300,344,332,260,298,
3883         224,107,207)( 62,221,308,133,183, 66,245,126,128,212)
3884        ( 63,178,262,226,236,248,196,271,118,205)( 64,169,247,201,129,153,135,
3885         174, 65,209)( 68,117,244,275,121, 90,287,323, 94,269)
3886        ( 74,289,237,257,290)( 75,296,113,319,105,115,181,273,132,306)
3887        ( 96,341,177,198,276,234,307,255,220, 98)(182,188,352,272,240,190,349,
3888         208,187,331) ] ],
3889[6, Factorial(357)/2,1,"2",[[356,1]],355, "Alt(357)", ["A",357, 1], "Alt"],
3890[7, Factorial(357),0,"2",[[356, 1]],357, "Sym(357)", ["A",357, 1], "Sym"]];
3891PRIMGRP[358]:=
3892[[1, Factorial(358)/2,1,"2",[[357,1]],356, "Alt(358)", ["A",358, 1], "Alt"],
3893[2, Factorial(358),0,"2",[[357, 1]],358, "Sym(358)", ["A",358, 1], "Sym"]];
3894PRIMGRP[359]:=
3895[[1, Factorial(359)/2,1,"2",[[358,1]],357, "Alt(359)", ["A",359, 1], "Alt"],
3896[2, Factorial(359),0,"2",[[358, 1]],359, "Sym(359)", ["A",359, 1], "Sym"],
3897[ 3, 359, 3, "1", [ [ 1, 358 ] ], 1, "C(359)", [ "Z", 359, 1 ], [  ] ],
3898[ 4, 718, 2, "1", [ [ 2, 179 ] ], 1, "D(2*359)", [ "Z", 359, 1 ],
3899  [ [ [ Z(359)^179 ] ] ] ],
3900[ 5, 64261, 2, "1", [ [ 179, 2 ] ], 1, "359:179", [ "Z", 359, 1 ],
3901  [ [ [ Z(359)^2 ] ] ] ],
3902[ 6, 128522, 2, "1", [ [ 358, 1 ] ], 2, "AGL(1, 359)", [ "Z", 359, 1 ],
3903  [ [ [ Z(359) ] ] ] ]];
3904PRIMGRP[360]:=
3905[[ 1, 129600, 0, "3a", [ [ 45, 1 ], [ 90, 1 ], [ 72, 2 ], [ 40, 2 ] ], 1,
3906  "Alt(6)^2", [ "A", 6, 2 ],
3907  [ (  1,116,238,250,228,  7,320,135,282,217,  6,155,307,293,132,  8,210,341,
3908         331, 99)(  2,270,193,160,265, 89, 79,103,323,169, 16,213,189,113,354,
3909         17,269, 52,129,357)(  3,355,326,304, 97, 36,309,225,322, 76, 23,165,
3910         283,110, 18, 14,308, 87,243,147)(  4,101,294,347,329, 37, 40,224,212,
3911         117, 28, 19,211,242,245, 29, 64,314, 93,328)(  5,344,274,222,349, 34,
3912         237,152, 88,186, 32,161,313,240,334, 33,319,104,187,247)
3913        (  9,128,231, 49,279,114,139,280,277,227, 50,127,285,181,173, 51,133,
3914         268,182,178)( 10, 46, 11,305,303,144,278,223,292,249, 56,172, 62,264,
3915         333, 57,168, 63,296,325)( 12, 81, 61,299, 72, 21,112,125,171,236, 68,
3916         22,218,286,251, 69,184,153,327,202)( 13,340,108, 77, 43,100,230, 92,
3917         205,130, 74,317,258,261, 31, 75,338, 94, 83, 27)( 15,271,141,163,142,
3918         199,183, 35,350,324, 84,336, 42,255,312, 85,346,121,196,273)
3919        ( 20, 25, 73,204, 86,316,140,221,233, 66,105,123,198, 65,177,106,124,
3920         253,107,235)( 24,291,284, 95,335,149,351,281,201,256,119,156,157, 55,
3921         266,120,300,259,244, 78)( 26,154,276,136,166,131,290, 82,137,167, 39,
3922         91,232, 30, 45, 41,226,275,342,194)( 38, 60,185, 80,138,145, 54,315,
3923         353,297,122,216,339,263,318,126,197,330,272,295)( 44,179,151,358,234,
3924         207,180,345,170,252,164, 48,219,260,288, 67, 98,229,111, 90)
3925        ( 47,257, 96,215,321,246,146,301,143,109,175,158,302, 70,214,176,311,
3926         159,298, 59)( 53,359,267,190,203, 71,174,150,248,115,191,343,220,239,
3927         332,192,262,287,360,289)( 58,241,134,337,310,352,118,306,195,102,209,
3928         348,148,208,356,162,200,206,254,188),
3929      (  1,284,129,278,276, 45, 21,148, 87,216, 80, 61, 99, 33,170, 44,221,
3930         211, 97,282)(  2,103,177,203,247, 10, 96,120,280,322, 52,190, 28, 86,
3931         56, 30,182,302,243,355)(  3,312,189,142,201, 11,144, 62,242,205,110,
3932          83,169,344, 66,161,325,131,159, 41)(  4,208, 42,329,277, 79,340,101,
3933         16, 88, 58, 27,186,310,297,135,268,246,155,202)(  5,166,258,140,314,
3934          60,174, 65,281, 34, 22,252,194,294,257,  9,197,157,321,350)
3935        (  6,136,199,320,232,165,300, 35,225,332,256,338,217,149,229,162,253,
3936         239,348,138)(  7,309,315,233, 82,115,220,234,326, 24,271, 51,228,248,
3937         13,163,198,342,127, 25)(  8, 95, 55,222,275,212, 93,188,283,265,354,
3938          47,132,333,303,195, 73, 14, 36,270)( 12,167,337,164,272, 54,269,331,
3939         358, 32,187,168,147,224,356,134,113,259,176,218)( 15, 72,290, 91,156,
3940         117,122,126,335, 40,104,274,219, 43,143, 70,118,307,316,105)
3941        ( 17,102,109,150,334,175, 94,346,231,254,343, 75, 37,213,184,139,181,
3942         240,146,185)( 18, 48,285,145,323, 53, 29,313, 69,292, 49,215,263,279,
3943         89, 20,111,299,349,154)( 19,311,123, 85,130, 59,107,351,341, 92,288,
3944          78,236,359,114,345,245,112,255,241)( 23,108,192, 90,244,262,305, 50,
3945         347, 81,178,196,357,158,327,124,249,214,180,204)( 26,330,206,183,324,
3946         267,125,100, 63,336,207,133, 77, 74,293,339,319,128,172,287)
3947        ( 31,193,151,153,238, 57,200, 67,251,304, 84,250,328,235,291, 46, 64,
3948         301,266,306)( 38,360,286,160,152,137,179, 68,298,308,191,353,106,289,
3949         296,260,226,119,173, 76)( 39,209,227,230,273,295,171,352,223,116, 98,
3950         318,261,141, 71,210,237,317,264,121) ] ],
3951[ 2, 259200, 0, "3a", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 40, 2 ] ], 1,
3952  "Alt(6)^2.2", [ "A", 6, 2 ],
3953  [ (  1,267, 44,157)(  2,202, 81, 79)(  3,225, 85,136)(  4, 87,277,148)
3954        (  5, 89,206,299)(  6,292,332,285)(  7,186)(  8, 78,151,169)
3955        (  9, 90,100, 96)( 10,298,244,296)( 11,223,255, 15)( 13, 70,220,141)
3956        ( 14,346, 57,109)( 16,230,268,117)( 17, 64,254, 93)( 18, 58,215,297)
3957        ( 19,321,142,324)( 20,236,111, 83)( 21,138,216,256)( 22,284, 77,170)
3958        ( 23,160,322, 76)( 24,252, 51,133)( 25,209,309,126)( 26,214,258, 28)
3959        ( 27,318,310,307)( 29,245, 53, 62)( 30,259,327,164)( 31,207, 55,194)
3960        ( 32,237,168,219)( 33,107,129,131)( 34,306, 74,222)( 35,357,199,302)
3961        ( 36, 43,238,210)( 37,192,240,120)( 38,171,286,290)( 39,323,335,313)
3962        ( 40,333,121,304)( 41,246,130,101)( 45,352, 80, 72)( 46,239,188,217)
3963        ( 47, 63,250,257)( 48,228, 49,326)( 50,227,177,122)( 52,234,204,248)
3964        ( 54,201,134,241)( 56,189,124,311)( 59,213,159,181)( 60,283,128,291)
3965        ( 61,316,276, 98)( 65,145,339, 69)( 66,179, 92,226)( 67,308,195,289)
3966        ( 68,231,260,102)( 71, 95,143,193)( 73,162,200,229)( 75,269,146,356)
3967        ( 82,287,198,140)( 84,118,132,261)( 86,314,249,172)( 88,303,135,251)
3968        ( 91,182,295,158)( 94,110,150,359)( 97,315,211,127)( 99,123,278,312)
3969        (103,183,347,350)(104,288,264,344)(105,180,116,190)(106,319,191,174)
3970        (108,343,280,185)(112,262,144,247)(113,149,272,253)(114,163,205,115)
3971        (119,320,137,300)(125,218,197,167)(139,154,184,263)(147,301,358,212)
3972        (152,153,173,270)(155,294,340,336)(156,203,273,305)(161,281,341,293)
3973        (165,243,232,196)(166,329,330,208)(175,221,334,282)(176,178,337,355)
3974        (187,360)(224,235,331,265)(233,266,342,275)(242,338,345,348)
3975        (274,349,317,279)(325,328,351,354),
3976      (  1,251,122,200,117, 59,346,222,135,108, 65,284)(  2,235,179,226,110,
3977         288,160,289, 93,305,231,146)(  3,153,331,187, 73, 19,225,259, 52,249,
3978         12,348)(  4,208,202, 83, 45,210,321,330,104,148, 92, 42)
3979        (  5,248,219,315, 20,279,163,141, 82,287, 78,205)(  6,149,300,283,328,
3980         54,169, 21,341,147,188,250)(  7,359,350,119,245,165,335,216,307,301,
3981         229, 97)(  8,224,270,155,329, 31,272,306,238,318,143,195)
3982        (  9,266,314,203, 49,345, 43,158, 25,196,138,154)( 10,340, 64,185,161,
3983         39,333,121, 47, 99, 61, 77)( 11,349, 90,339, 95,324,292, 35, 30,127,
3984          86,261)( 13,233,312, 88, 22,145,133,281, 53,336,186,241)
3985        ( 14,255, 17,214,253,256,322, 94,189,151,242,236)( 15,295, 41,290, 58,
3986         211,228,115, 44, 27,230,311)( 16,352,302,130,304,207,174,297,212,199,
3987         308,294)( 18,268,206,332, 24, 98,254,257, 60,129,116, 91)
3988        ( 23,184,265,271,198, 71,356,107,103,100,156,126)( 26, 62,342,170,217,
3989         55,223,278,317,136,201,286)( 28,221,327,173,166,193,260,150,152, 36,
3990         172,360)( 29, 48, 85,338,167,113,162,131,313,285, 67,132)
3991        ( 32, 89,358,337,105,243, 46,320,275,347,171,134)( 33,282, 75,247,106,
3992         87,112,142,276, 68,192,139)( 34,354,325, 81,316,310,125,191,232,291,
3993         101, 74)( 37, 96,264,209,194,262, 66,164,274,309,234, 84)
3994        ( 38, 76,190, 51,183,120,178,182,204,197,220,124)( 40,176,177, 63,303,
3995         57,252,244,218,237,296,137)( 50,353,343,323,181,298,355,280,123,213,
3996         159,180)( 56,144,111,128,344,319,168,334,175,246,299,273)
3997        ( 69,227,118, 80,293,267,240, 70,326,239,157, 79)( 72,215,277,102,109,
3998         269,140,351,258,263,114,357) ] ],
3999[ 3, 259200, 0, "3a", [ [ 45, 1 ], [ 90, 1 ], [ 80, 1 ], [ 72, 2 ] ], 1,
4000  "Alt(6)^2.2", [ "A", 6, 2 ],
4001  [ (  1, 96, 28, 66, 62)(  2, 82, 27,227,258)(  3,272, 35, 93,148)
4002        (  4,130,157,177, 48)(  5,186, 51, 86, 33)(  6,304, 42, 12,333)
4003        (  7, 76,126, 17,290)(  8,224,131,172,313)(  9,196,140,136,120)
4004        ( 10,334,209,242,312)( 11,349,174,279,297)( 13,353,346, 15,275)
4005        ( 14,354,128,326,309)( 16,208, 29,217,283)( 18,350,223,240,188)
4006        ( 19,221, 37,109,220)( 20, 53,159,137,212)( 21,251, 26,252, 65)
4007        ( 22,244,286,187,322)( 23, 38,123,285, 36)( 24,206,231,347,311)
4008        ( 25,276,219,235,351)( 30, 31,117,263, 69)( 32,115, 99,180,281)
4009        ( 34,210,194,168,344)( 39,237,307, 64,149)( 40,213,124,102,129)
4010        ( 41,105,211,278,359)( 43,324,222, 50, 47)( 44,134,288,293,118)
4011        ( 45,247,155,342,262)( 46,282,127, 79,302)( 49,306,348, 92,289)
4012        ( 52,301,218, 88,151)( 54,245,338,321, 74)( 55,132,173,234, 70)
4013        ( 56,229,259,260,103)( 57,325,236,264,284)( 58,255,274,178,317)
4014        ( 59,329, 75,243,295)( 60,232,330, 85,176)( 61,228,337, 87,318)
4015        ( 63,239,111,204,323)( 67,280,298,113,166)( 68,158,121,249,189)
4016        ( 71,253,199,296,161)( 73,201,269, 84,327)( 77,238,203,254,175)
4017        ( 78,310,138,154,316)( 81,303,343,241,205)( 83,265,335,143,106)
4018        ( 89,133,122,169,101)( 90,261,190, 97,273)( 91,100,193,167,119)
4019        ( 94,331,135, 95,192)( 98,230,141,226,246)(104,191,341,108,153)
4020        (107,150,225,197,144)(110,163,207,250,267)(112,358,291,257,314)
4021        (114,200,145,256,198)(116,277,308,214,156)(125,287,146,268,147)
4022        (139,339,299,179,248)(142,266,183,336,315)(152,356,185,216,184)
4023        (160,171,305,292,345)(162,181,182,164,360)(165,328,170,270,195)
4024        (202,294,215,357,271)(233,320,352,300,340),
4025      (  1,357,269,137,312,135, 47, 91,157,288, 31, 50,355,240,284,162, 75,
4026         307, 52,303,145,192,106,212,103,335,315, 58, 54,198, 28,214,151, 92,
4027         197,290,283,256,142, 49)(  2,327, 37,348,259,267,345,272, 83,326,134,
4028         329,  8,358,193, 97,270,199, 61,175,344,129,130,183,216,101,309,178,
4029         190,100, 65,110, 38,254,324, 82, 20, 66,174,330)(  3,356,311,223,173,
4030         118,150,160,141,251,244,217,292,112, 86,111, 76,243,123,179,310, 23,
4031         291,210,263,271, 40,299, 39,255, 99,201,318,314, 15,208,232,117, 34,
4032         317)(  4,360,237,219,347, 48,265,109,146, 90,  6,359,107, 79,108,163,
4033         51,354,296,249, 43,261, 89,165,136,340, 53,114,156,253,126,153,306,
4034         316, 88, 72, 59,191,138,277)(  5,341, 18, 69,301,346,154, 62,187,252,
4035         121,352, 19,302,167,195,238, 22,242,325,140,266,275, 45, 56,241,209,
4036         116,258,221,131,226,220, 57, 68,260, 78,294, 30,182)(  7,172,300,319,
4037         36,343,338, 24,229,293, 27,334,297,233, 95, 77,202,207,213,331,122,
4038         149,158, 17,102,125,180,278,308,250, 29,164,305,206,228,248,196,186,
4039         105,282)(  9,170, 98,159,245,127,353,166,257,287, 71,336,350,194,323,
4040         139, 85,144,264,147,321,337,230, 10,304,128,227, 21,351, 64,169,200,
4041         236, 12,171,133,235, 96,295,276)( 11, 84, 14,286,124,176,280,189,203,
4042         87, 81,279, 55,328, 41, 74,313, 60,285,246,155,177,188,113, 32,185,
4043          70,273,104, 13,211, 80,132,322, 35,225,289,281,298,339)
4044        ( 16, 46,168,262,152, 73, 42, 63, 94,268,148,349,247,205,143,181, 25,
4045         184,342,274,161,120,119,218,332,234, 26,320,222,215,204, 44, 67,239,
4046         231,333, 33,224, 93,115) ] ],
4047[ 4, 259200, 0, "3a", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
4048  "Alt(6)^2.2", [ "A", 6, 2 ],
4049  [ (  1,174, 50,284,279,200,316,323,116,248,206,131,237,135,287)
4050        (  2, 72,168, 83,329,187,270,201,219,216,231,175, 38,  5,317)
4051        (  3,103, 68,115,142,226,294,354,133,156,331,162,199, 53,194)
4052        (  4, 98, 48,252,339,315,349,309,355,292, 92,108,100,149, 24)
4053        (  6,325, 31,157,275,283,106,170,138,360,137,164,319, 10,253)
4054        (  7, 14,118,281,203,155,105,314, 41,239,351,150,161, 15,  9)
4055        (  8,163,258,259,140,119, 20,143,179,190,217,330,344,110,165)
4056        ( 11,205, 86,271,213,257,321, 60,112, 40,122,104, 35, 16,188)
4057        ( 12,274,191,290,310, 52,139, 66,312,352,146,265,167, 22,282)
4058        ( 13, 74,235, 29, 37,311,234,288, 81,247,186,313,305,264,356)
4059        ( 17,182, 75,261,159, 28,269,212, 90, 54,337,334,126, 18,296)
4060        ( 19,111,272, 42,342,153,223, 56, 78,183,249,204,109, 82,299)
4061        ( 21,268,141, 91, 33, 63,127,202,346,209,328, 59, 45, 95,101)
4062        ( 23, 27,198,289, 87,130,211,297,225,291, 67,295, 85, 73,207)
4063        ( 25,241, 69,215,320,154,228, 39,128,322,267, 58,196, 51,166)
4064        ( 26,301,148,220, 93,238,114,208,359,348, 97,178,210,277,160)
4065        ( 30,353, 36,144,125,332,303,256,224,276, 65,300,260,286, 84)
4066        ( 32,357,262,251,250,173,245, 71,129,244,189,306,285,324,341)
4067        ( 34,254,176,236, 76,338,117,181, 46, 55,302,222,280,347,229)
4068        ( 43,246,151,326,230, 47,318,172,340, 44,240,278,221,345, 88)
4069        ( 49,134,177, 96,307,158,242,343,184,195,227,152,147,113,102)
4070        ( 57,308,350,333, 94,123,232,120, 70,358,180,132,136,185,243)
4071        ( 61,336, 77,335,214, 79,233, 64,197,171,121,145, 80, 62, 89)
4072        ( 99,193,218,304,273,266,255,169,107,124,293,327,298,192,263),
4073      (  1,333,115,111,243, 46,140,290)(  2,137,257,255, 73, 18,268, 60)
4074        (  3,334,240,202,249,271,296, 75)(  4,211, 92,105,262,270, 71,320)
4075        (  5,177,201,289, 29,129,352,231)(  6,222, 88,277, 90,123,307, 68)
4076        (  7,283, 35, 51,113,261,193,325)(  8, 36,185,141,198, 49,347,212)
4077        (  9,168,281, 77,250,282,170,280)( 10,266,274,232, 32, 28,148,197)
4078        ( 11,301,316,178,127,313,229, 74)( 12,256,118,244,160,227,326,239)
4079        ( 13,161, 82,356, 97,340,291,344)( 14,254,226, 80,322, 57,153,176)
4080        ( 15,154, 45,245,319, 25,126,101)( 16,260,203, 48,182,158,341,286)
4081        ( 17,191,348,204,293,216, 52,312)( 19,104,332,215,331,276,218,164)
4082        ( 20,124,219,172,294,241, 81,221)( 21,165,315,223,328,133,285, 22)
4083        ( 23,184,284,128,299,155,135,106)( 24,214,267,237)( 26,194, 78,122,
4084         186,109,207, 59)( 27,131, 65,324,175, 55,298,147)( 30, 34,302, 43,
4085         169,279,248, 54)( 31,189,144,235, 41,157,100,110)( 33,120,192,149,
4086         357,145,246,188)( 37, 99, 39,258,143,337,353,247)( 38, 42,220,171,
4087         310, 87,199, 89)( 40, 70,259,206,252,236,305, 94)( 44,288,351,242,
4088         195,179, 96, 91)( 47,132,295,300,159,335, 72,196)( 50,167,311, 85,
4089         323,317,238,119)( 53,225,217, 98,190,187,297,253)( 56,251,108,156,
4090         142,343,275,272)( 58,213,273,139,263,355,228,210)( 61,224,114,269,
4091         121,309,234,112)( 62, 67,345,183,308,342,314,130)( 63,151)
4092        ( 64,117,330,264,181,180,103, 83)( 66,205,200,327,329,125,358, 86)
4093        ( 69,162,146,359,303,163, 93,354)( 76,208,360,134,174,265,349,346)
4094        ( 79,116)( 84,292,102,278,321,339,230,304)( 95,173,233,336,152,138,
4095         136,350)(107,287,209,150,318,338,306,166) ] ],
4096[ 5, 259200, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 40, 2 ] ], 1,
4097  "Alt(6) wreath Sym(2)", [ "A", 6, 2 ],
4098  [ (  1,349, 35,346)(  2,153,259,160)(  3,288,146,225)(  4,295,141,186)
4099        (  5,336, 42,228)(  6,105,123,166)(  7,167,128,247)(  8,271, 38,316)
4100        (  9, 39, 77, 43)( 10,326,158,267)( 11,129,284,254)( 12, 52,305,289)
4101        ( 13,279,290, 92)( 14,283,151,298)( 15,210, 88,163)( 16,119,209, 56)
4102        ( 17,323,236,149)( 18, 59,332,292)( 19,187,231, 93)( 20,145, 83, 41)
4103        ( 21,256,213,189)( 22,248,115,321)( 23,215,191, 62)( 24,251,257, 90)
4104        ( 25, 99,121,138)( 26,132,140,106)( 27,205,133, 45)( 28,328, 32, 50)
4105        ( 29,334,139,245)( 30,268,222,116)( 31,194,124,297)( 33,217,131,114)
4106        ( 34,329,126,183)( 36, 63,337,252)( 37, 51,130,318)( 40,347,237,173)
4107        ( 44,148,241, 78)( 46,188,260,355)( 47, 69,203,239)( 48,201,112,109)
4108        ( 49,340,185,314)( 53,287,311,202)( 54,242,280, 94)( 55,103,269, 81)
4109        ( 57,150,218, 89)( 58,208,281,219)( 60,108, 91, 86)( 61, 70,345,157)
4110        ( 64, 80,196,240)( 65,135,324,339)( 66,155,199,197)( 67,335, 68,246)
4111        ( 71,143,125,220)( 72,113,223,192)( 73,235,226,331)( 74,136,198,263)
4112        ( 75,258,285,342)( 76,264,306,207)( 79,266,118,333)( 82,233,330,230)
4113        ( 84,344,212,216)( 85,350,282,319)( 87,144,162,229)( 95, 98,200,206)
4114        ( 96,165,308,111)( 97,164,175,304)(100,272,101,178)(102,156,170,310)
4115        (104,211,315,312)(107,204,232,238)(110,249,348,179)(117,127,261,122)
4116        (120,234,195,352)(134,296,193,244)(137,320,177,221)(142,307,313,273)
4117        (147,322,180,214)(152,341,275,181)(154,227,161,293)(159,358,300,327)
4118        (168,309,301,174)(169,172,343,171)(176,360,303,243)(182,294,224,274)
4119        (184,270,325,190)(250,255,353,253)(262,359,302,299)(265,286,291,357)
4120        (276,317,338,277)(278,354,351,356),
4121      (  1,  3,301,145,  7, 64, 45, 49,254,128)(  2,281,325, 32, 17,327, 30,
4122         332, 91, 29)(  4, 98, 37,  8, 50,224, 81, 93,244, 80)
4123        (  5,  6, 66, 26,177,265,111, 44, 60,198)(  9,152,157,121,235,223, 58,
4124         99,232,141)( 10, 77,104,126, 16,122, 46, 92,129,100)( 11,358,269,130,
4125         19,353,308,205,107,255)( 12,187, 88, 24,236,202, 25, 68,119,123)
4126        ( 13,183,211,140, 21,349,274,299,295,277)( 14, 35, 23,249,298, 85, 20,
4127         230, 18, 43)( 15,125,239, 28,172,345,199,216,186,204)
4128        ( 22, 56,237, 31, 86,103,109, 57,331,359)( 27,114,233,245,142, 83,341,
4129         79,288,342)( 33, 48, 47,189,322)( 34,278,132,315,268,243,215,117,273,
4130         293)( 36,150,261,314,291,220, 53,231,241, 39)( 38,180,225,270,188,
4131         158,206, 73,143,311)( 40,154, 87,190,283,264,110,343,156, 42)
4132        ( 41,101,113,337,260,360,309,161,310,163)( 51,135,248,246,131)
4133        ( 52,348, 63,127, 89,306,247,238,296,200)( 54,222,334,294, 72,300,302,
4134         286, 74,210)( 55,226,165,250, 70,350,357,139,168,280)
4135        ( 59,347,321,271, 65,257,171,195,209,285)( 61,305,201,323,318,338,170,
4136         292,214,155)( 62, 76,289,272,176)( 67,153,213,203,166,276,267,282,
4137          78,218)( 69,221,266,316,182,297, 82,303,174,124)( 71,108,194,330,
4138         228,340,352,219,328,324)( 75,212,304,256,173,242,118,354, 97,252)
4139        ( 84,227,116,279,144,191,217,181,136,102)( 90,138,185,229,146,259,159,
4140         284,287,319)( 94,263,326,207,178,336,307,164,105,339)
4141        ( 95,167,317,133,179,355,192,151,196,193)( 96,134,240,253,262,251,184,
4142         320,106,275)(112,346,313,148,149)(115,160,137,234,208,147,356,329,
4143         312,344)(120,351,333,335,197)(162,258,290,175,169) ] ],
4144[ 6, 259200, 0, "3b", [ [ 45, 1 ], [ 90, 1 ], [ 72, 2 ], [ 40, 2 ] ], 1,
4145  "Alt(6) wreath Sym(2)", [ "A", 6, 2 ],
4146  [ (  1,145, 16, 32, 43, 97, 56,356,202,357)(  2, 99,115,195,301,264, 41,278,
4147         81,149)(  3,268,282,262,244,274, 40,299,200,176)(  4, 69,216,174,255)
4148        (  5,349,123,335,191,173,184, 10,211,261)(  6,316,105,169, 77,217, 66,
4149         260,128,294)(  7,142,263,348, 60,233,170,359, 80, 19)
4150        (  8,265,341, 73, 98, 57, 34,159,198,240)(  9,249,125,137,350,165,277,
4151         308, 51,226)( 11,235, 49,295,276,343,206,323,168, 85)
4152        ( 12,246,146,126,281,212,355,111,204,114)( 13,196,317, 70, 27,155, 74,
4153         95,336,227)( 14,177,121,243,152,189,257,354,327,193)( 15,251, 20,324,
4154         163,318,130,321,209,320)( 17,314,171,250,167)( 18,208, 31,342, 55,
4155         131,315,164, 47,153)( 21,190,183, 79,248,351,297, 96, 48,151)
4156        ( 22,345,347,138,186,339,199,150,283,185)( 23,322,300, 29,303)
4157        ( 24,288,319,143,302, 88,286, 64,238,179)( 25,279, 84,298,232, 65, 42,
4158         203,119,225)( 26,140,344, 62,289,144,132,285,241,239)
4159        ( 28, 91,181, 37,242)( 30,148,158,312,306, 61,214, 58, 59,352)
4160        ( 33,275,166,252,178, 67,360,104,293,133)( 35,280,103,218,116,207, 54,
4161         194,157,290)( 36,332,219,154,358, 45,326, 46,100,134)
4162        ( 38,234,269,197,139,228,304,346,237, 72)( 39,329,136,272,331,107,182,
4163         338, 63,110)( 44,108,180,254, 82,127,310,215,247,172)
4164        ( 50, 93,340,236,273,201,156,309,141, 86)( 52,129,330, 75,353)
4165        ( 53,266)( 68, 92,292,291,230,267, 89,188,220,284)( 71,213,258,222,
4166          83,224,135,305,271,256)( 76,120,259,325,113,124,270,175,160,245)
4167        ( 78,192,161,287, 90)( 87,328,109,162,147,229,333,311,106,122)
4168        ( 94,221,296,313,118)(101,205,102,223,231)(112,337,334,117,210)
4169        (187,307), (  1,316)(  2,294,193, 95, 16,223, 73, 86,309,298)
4170        (  3,270,202,169, 19,213,104, 87,255,149)(  4,329, 88,252,235,151,360,
4171         311, 72,319)(  5,349,100, 47,278, 81,356,  6,106,201)
4172        (  7, 20,234,250,240)(  8,105,324,305,239,246, 13,344,230,189)
4173        (  9,155,359,160,177,184, 10,275,264, 37)( 11,159,204,225, 36)
4174        ( 12,211,260, 54, 82,140, 45, 43, 51,355)( 14,314,285,251,146,274, 25,
4175         228,220,348)( 15,310,244,322, 66,210,196,351, 26,245)
4176        ( 17,127,217, 39,318,352, 24,303, 85, 56)( 18,321,198,272, 40,224,153,
4177         337,300,207)( 21,269,241,163,290,221, 30,315,111,289)
4178        ( 22,203,215, 32,114)( 23,139,261,144,110,342, 44, 91, 48,320)
4179        ( 27,328, 92, 42, 83,188,273,124,205,115)( 28,138, 65,307, 52,142,341,
4180         218,179,219)( 29,247,172,345,259,190,357, 71,161,281)
4181        ( 31,334,113,353, 53,265,327,173,168,165)( 33,297,109, 98,112,216,304,
4182         293,199, 60)( 34,117,279,206,131, 50,229,338,358, 57)
4183        ( 35,271, 78,299, 84,332,182,212,130,295)( 38,183,192,257,122, 99, 67,
4184         156,339,268)( 41,186,148,150,152,238,170,102,288,137)
4185        ( 46,116,333,222, 55,232,135,280,200,174)( 49,242,277, 93, 69,128,346,
4186         101,133,194)( 58, 97,141,166, 68, 63,195,226,208,147)
4187        ( 59,301,162,154, 96)( 61,302,121,132,185)( 62,180,308,181,347, 70,
4188         243, 80,335, 64)( 74,158,118,325,178)( 75,354,256,266,191,175,306,
4189         164,119,343)( 76,233,123,336,171, 94,214,254,120,350)
4190        ( 77,197, 89, 79,145)( 90,263,286,187,312,283,262,134,330,103)
4191        (107,296,317,125,253,282,227,129,331,258)(108,209,291,267,126,167,143,
4192         276,326,249)(136,287,236,176,323)(157,340,231,313,292)(237,248) ] ],
4193[ 7, 259200, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
4194  "Alt(6) wreath Sym(2)", [ "A", 6, 2 ],
4195  [ (  1,157,175,196, 36,121,346,302, 40,203,313,334)(  2,115,248,191,  7,348,
4196         300,163, 68,315,271,244)(  3,226,197,301,114, 83,152,134, 48,281, 41,
4197         27)(  4,117,122,231,147,221,167,124,132,303,344,103)(  5,324,337,100,
4198         298,262,295,195,142,335,359, 70)(  6, 35,274,350, 64,284,183,349, 14,
4199         332, 47, 96)(  8,330,360,255, 16,241,336, 53, 12,289,351,201)
4200        (  9,339,258,206, 89,222, 39,192,177, 91,291,263)( 10,249,149,260, 37,
4201         286,338,280,204,234, 45,326)( 11,210,345,151,316,355,308, 22,224,294,
4202         128,223)( 13,136, 74,318,342,138, 78, 30,256, 33,137, 34)
4203        ( 15,123,207,331,319,292,178,329,214,242, 18,304)( 17,154,108, 71, 50,
4204         240,156,306, 86,185, 26, 80)( 19,311, 92,247,278,187,176, 82, 66,141,
4205         209,353)( 20, 79,105,112,213,184,133,269,139,155,270,116)
4206        ( 21, 77,352, 55, 98,158,190, 43, 46,118, 60,276)( 23,205,131,159,179,
4207         290,104,130, 51,259, 54,148)( 24, 93,169,171,199,307,107,250,220, 87,
4208         279,129)( 25,227,110,237,347, 67,245, 84,296, 97,282,321)
4209        ( 28,253,161,285,228,328,194, 52, 76,333, 38,140)( 29,288,120,268, 56,
4210         299,166,358, 65,325,230,283)( 31, 69,257,216, 95,172,261,239,232,180,
4211         200,162)( 32,174,343, 75,312,273,297,215,143,266,208,254)
4212        ( 42, 94,275,101, 88, 58,186,235,146,246,272,168)( 44,252,310,305,144,
4213         49,109,111,236,243,340,125)( 57,322,356,170,164,181,317,264,202, 90,
4214          59,153)( 61, 99,160,188,189,354,182,126,341, 72,198,287)
4215        ( 62,165,127,219,314,320,309, 63,106,211,229, 81)( 73,102,135,217,277,
4216         150,193,251,113,145,218,265)( 85,225,357,293,119,238,173,327,267,212,
4217         233,323), (  1,265,  2,170,162,341,335,117,309,281)(  3,168,202,242,
4218         135, 46,209,184,264,349)(  4,188,236, 54,164,134,166,256,198,203)
4219        (  5,299,284, 38,100,243, 95, 96,220, 91)(  6, 81, 97, 52,343,288, 56,
4220         76, 65,187)(  7,190,255,280,  9,174,252,285,290, 35)(  8,238,340,218,
4221         210,219,240,122,177,154)( 10,308,267, 84,175,266,323,167,230,279)
4222        ( 11,356,326,120,330, 41, 85,294, 45,278)( 12,263,289,123,246,348,130,
4223         99,146, 37)( 13,286,287,208,113, 64, 86, 15,111, 87)( 14,338,116,212,
4224         112,274,214,350,106,233)( 16, 47,172,283, 77,140, 44,159, 70,327)
4225        ( 17,211,257,124,314,137,277,270, 82,355)( 18,156, 63,273,328,147,213,
4226         201,244,275)( 19,119, 98, 61,178,231,199,207, 55,306)
4227        ( 20,351,352,360,334,297,329,104,359,234)( 21,247,237,307,241, 27,151,
4228         319,239,353)( 22,165,215,303,161,354,143,182,204,344)
4229        ( 23, 78,331,347,248,192,107,138,293,345)( 24,262, 90,108,149,109,186,
4230         222,141,145)( 25,260,223, 69, 53,300,225, 66, 51,315)
4231        ( 26, 50,180,336,153,125,346,227,258,261)( 28,332,127, 57,152,179,173,
4232         105,189,339)( 29,142, 73,102, 62,115,131,226,126,205)
4233        ( 30,171,298,304,148,158, 39,254,250,228)( 31,216,176,317,271,183,320,
4234         217,194,118)( 32,249, 36,200, 43, 93,169,157, 42,121)
4235        ( 33, 49,291,251,229,295,160,136,333, 88)( 34,322,276,313,185,128,316,
4236         79,302,259)( 40, 75,181,103, 48,155, 60,358, 72,132)( 58,357,150,114,
4237         59,191,193,321, 80,310)( 67,232,305, 71,269,206,342,110,301, 89)
4238        ( 68,196,144,296,163, 94, 74,325,318,221)( 83,139,268,195,253,312,282,
4239         197,224,101)( 92,235,337,245,292,272,324,129,311,133) ] ],
4240[ 8, 259200, 0, "3b", [ [ 45, 1 ], [ 90, 1 ], [ 80, 1 ], [ 72, 2 ] ], 1,
4241  "Alt(6) wreath Sym(2)", [ "A", 6, 2 ],
4242  [ (  1,295,275, 79,288,212)(  2,326,341, 20,349,263)(  3, 59,181, 22, 39,136
4243         )(  4,266,216, 44,129,344)(  5,324,269,110,293,  6)(  7,335,313,213,
4244         323, 85)(  8,100,107,270,221,173)(  9,148,152, 11,153, 84)
4245        ( 10,145, 74, 18,248,198)( 12,286,185,133,343,222)( 13, 99, 55, 73,
4246         251,123)( 14,149,317,112,246,258)( 15, 98,175,104,345,119)
4247        ( 16,135,211,105, 80,235)( 17,140,273,106,201,250)( 19,164, 49,210,
4248          28, 30)( 21,322,277,128, 33,342)( 23,161,233, 81, 60,279)
4249        ( 24,287,103, 47,336,191)( 25,208,166, 95,249,209)( 26, 75,144,109,
4250         253,147)( 27, 32, 70,305,304,117)( 29,298,280, 67,245,350)
4251        ( 31,195,220,296,303,183)( 34,297,244,243,234,124)( 35, 78,300,118,
4252         160,102)( 36,150,238,184,271,272)( 37,337,237,207,325,197)
4253        ( 38,318,306,190,252,218)( 40,204,224,155,178,177)( 41,359,158,321,
4254         299,332)( 42,138, 96,348, 90,260)( 43,262,259,292,327, 83)
4255        ( 45,196, 97, 58,268, 56)( 46,290, 65,308,226,227)( 48,131,142,151,
4256         214,282)( 50, 53,340, 62, 52,108)( 51,232,294, 63,347, 66)
4257        ( 54,217,192,319, 72,189)( 57,199,101, 76,274,320)( 61,356,205,206,
4258         291,281)( 64,265,315,116,354, 88)( 68,113,338,139,256, 94)
4259        ( 69,328, 82,127,215, 93)( 71,126,143,193,360,329)( 77,186,159,284,
4260         225,170)( 86,172,330,314,309,187)( 87,285,132,247,255,236)
4261        ( 89,264,182,316,130,137)( 91,228,301,154,202,111)( 92,168,257,230,
4262         165,203)(114,334,276,223,283,242)(115,346,302,146,267,358)
4263        (120,194,134,176,352,125)(121,312,355,200,331,278)(122,174,289,239,
4264         171,311)(141,254,310,241,333,156)(157,231,357,261,163,169)
4265        (162,307,229,167,353,180)(179,351,339,219,188,240),
4266      (  1,174,106,190,280,236, 52,227)(  2,292,279,215,286,177,200,310)
4267        (  3,146, 61,144,195,218, 57, 53)(  4,194,346,197, 75,306,249,123)
4268        (  5,139,205,271, 60, 40,179,115)(  6,134,186, 39, 74,114,246,210)
4269        (  7,  9,183, 54,163, 22,256,130)(  8,282, 45,351,161,118,203,252)
4270        ( 10,160,192,208,119,151, 36,125)( 11,222,250,111,354,214, 69, 16)
4271        ( 12, 43,143,138, 92,100,343,332)( 13,293, 81, 96,126,296,228,352)
4272        ( 14,219,113,337,158, 24,153, 56)( 15,297,291,268,164,303,157,133)
4273        ( 17,121,353, 77,156,116,201,335)( 18, 79,140, 72, 83, 94,255,170)
4274        ( 19,263,193,169,124,207,349,209)( 20,104,320,182,325,224, 38,317)
4275        ( 21,243, 87,251, 84, 80,309,168)( 23,149,120,311,345,191,323,129)
4276        ( 25,233,328,274,290,338,289,276)( 26,196,166,176,285, 37,112,117)
4277        ( 27,181,247,313,319,135,147,339)( 28,240, 51,300,154,305, 97,326)
4278        ( 29,358,132,239,155, 70,180, 93)( 30,230,188,312, 68,142, 90, 49)
4279        ( 31, 95,329, 58,221,199, 48,102)( 32,238, 99,152,231, 65, 78,324)
4280        ( 33,287, 50,108,198,308,333,109)( 34,241,316,162,350,187,206,172)
4281        ( 35,318,336,216, 73,189, 76,122)( 41,101,295,175,226, 42, 98,105)
4282        ( 44,278,288, 55, 86,220,262,347)( 46, 82, 59,275,284,307,178,277)
4283        ( 47,237,127,103,217,131,253,261)( 62,167,258, 64,171,266,304,145)
4284        ( 63,184, 66,128,165,334,360, 91)( 67,342,223,260,173,244,159,225)
4285        ( 85,327,301,213,321,234,298,272)( 88,359,356,322,270,281,150,331)
4286        ( 89,340,212,204,302,330,110,315)(107,235,341,357,211,269,294,283)
4287        (136,141,299,245,248,344,267,148)(137,264,265,259,348,242,202,355)
4288        (185,273,232,314)(229,254) ] ],
4289[ 9, 518400, 0, "3a", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
4290  "Alt(6)^2.2^2", [ "A", 6, 2 ],
4291  [ (  1,310,179, 31, 89,115,168, 90)(  2,143,172,262,  8,  5, 98,266)
4292        (  3,183, 50,212, 66,210, 64, 10)(  4,348,176,322,326,109,308, 95)
4293        (  6,353, 48,154, 17,113,278, 45)(  7, 61,180,106, 16,279, 46, 54)
4294        (  9,198,235,120, 40,186, 23,222)( 11, 68,357, 69, 41, 12,193, 21)
4295        ( 13, 60,254,153,297,105,136,178)( 14, 59,114, 55, 86,241, 19,243)
4296        ( 15,343,255, 33,257,256,245,215)( 18,288,352,188,170,130,133,203)
4297        ( 20, 56,227,346,216, 93,125,320)( 22,301,251, 35,156,249,124,150)
4298        ( 24,189,334, 62, 88,169,253,131)( 25,273,184,312,202,324,300,142)
4299        ( 26,316,103,173,223,197,265,218)( 27, 47,332,225,234,355,102, 37)
4300        ( 28, 94,246,268,283,229,309,228)( 29, 51,175,177, 87,101,165, 36)
4301        ( 30, 77, 74,331,195,237,295,191)( 32,242,335,116,298,144,174,336)
4302        ( 34,252, 78,356, 70, 43,359,289)( 38, 42,206,333,259,220,171,302)
4303        ( 39,299, 52,126, 63,148,354,157)( 44,231,360,151,292,217,269,108)
4304        ( 49,358,317,127,276, 76,330, 58)( 53,230,261,275,282,339,319,182)
4305        ( 57,140,271, 81,347, 72,155,291)( 65,159,313,121,307,325,211,287)
4306        ( 67,286,239,145,305,134,213,284)( 71,221, 83,119,293,349,344,187)
4307        ( 73,244,149,118,247,304,240,321)( 75,232,208,315,138,181,342,340)
4308        ( 79,167,164, 80,248,226,296,323)( 82,281,185,327,277,122,338,306)
4309        ( 84,199,163,196,158,146,329,328)( 85,135,350,224,311,233,117,152)
4310        ( 91,129,160,194,166,263,272,290)( 92,260,280,128,345,147,132,209)
4311        ( 96,200,141,110,303,214,267,201)( 97,137,162,100,111,337,139,318)
4312        ( 99,341,258,314,285,107,219,104)(112,161,236,192,351,205,123,250)
4313        (190,238,264,294,270,204,207,274), (  1,327,312,239,357, 42,280,106)
4314        (  2,160,174,209,251,222,140,223)(  3,288,215,351,227,157, 87,139)
4315        (  4,187,268,112,172,129,142,175)(  5, 26,132,259,358,309, 69, 90)
4316        (  6,221,137,352,169,315,218, 11)(  7,249,266,131,265,332, 52,165)
4317        (  8,113, 34,152,354,240,170,210)(  9,181,208,108,164,290,242,229)
4318        ( 10,121,103,213,235,299,335,336)( 12,325,318,360, 99,203,264, 20)
4319        ( 13,162,144,146,341, 62, 86,293)( 14,171, 74,313,279,141,135,116)
4320        ( 15, 71,340,191,149,263,344,272)( 16,304, 30, 94, 72, 77,153,219)
4321        ( 17, 49,256,274,236,226,189,155)( 18,339,111,151,179,198, 33, 92)
4322        ( 19,182,100,176, 65, 91,238, 22)( 21,328,359,258,228,241, 25,345)
4323        ( 23,282,136,248,178,257,125,105)( 24,134,166,196, 85,148,321,232)
4324        ( 27,150,334,194,159,287, 95, 59)( 28,281,347, 79, 46,252,337,183)
4325        ( 29, 35,225,211,278,286, 70, 54)( 31,122,301,214,302,310,130, 45)
4326        ( 32, 47,173, 83,260,184, 36,243)( 37,154,124,355,168,277,262, 41)
4327        ( 38,353,126,349,356, 53,102, 55)( 39,233,330,326,308, 40,253,143)
4328        ( 43,119, 82, 84, 96,199,255,120)( 44,289, 61,128, 50,333,342,291)
4329        ( 48,331,254,246, 97,158, 93, 81)( 51,234,138,104,207,284,305,320)
4330        ( 56,200,212,133, 66,245,195,300)( 57,115,123,224,177,303,343, 60)
4331        ( 58,204,118,231, 63,101,329,324)( 64,322, 78,156,107,205,193,127)
4332        ( 67,185,307,294,114, 73, 75,197)( 68,110,273,271,217,261,285,270)
4333        ( 76, 88,296,314, 98,323,295,216)( 80,267,163,237,192,220,275,230)
4334        ( 89,250,297,346,202,311,292,269)(109,247,338,350,167,201,319,276)
4335        (117,298,190,147,348,283,316,180)(145,306,161,244,188,206,317,186) ]
4336 ],
4337[ 10, 518400, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
4338  "Alt(6)^2.2^2", [ "A", 6, 2 ],
4339  [ (  1,342,223,143,216)(  2,282,346, 14,319, 72,156,180,358,246)
4340        (  3, 85, 13,242,155,106,198, 32,  4, 92)(  5,263, 35,313, 64,208,321,
4341         229,310, 81)(  6,121,135,187,330,182, 91,294,165,175)
4342        (  7, 58, 66,159,112, 54, 16,127,241,152)(  8,285,349,213, 90, 56,145,
4343         79,353,209)(  9,258, 46, 76,163,146,317,291, 98,190)( 10, 84,140, 63,
4344         154,181,131,114,281,314)( 11,212, 28,124,221,225,323,356,303,316)
4345        ( 12, 53,199,157,276,196,239, 36,287,248)( 15, 94, 51, 75,290, 65,158,
4346         230,254, 24)( 17,350,260, 52,347,288,322, 73,240,274)
4347        ( 18,250,174,176,101,300, 48,138,125,188)( 19,264,343,332, 49, 93, 80,
4348         137,253,197)( 20,279,269, 29, 74, 26,172,306, 77,142)
4349        ( 21,327,335,308,115,275,128,262,103, 39)( 22,222,341, 33,116,113,166,
4350         141,273,265)( 23,122, 71,150,170,203,211,243, 62, 41)
4351        ( 25,178,132,329,320,357, 97,139,183, 50)( 27, 67,280,309,266,304, 43,
4352         151, 45,136)( 30,227,192,237,255,318,336, 68, 99, 44)
4353        ( 31,328, 37,284,233,360,278,184, 87,105)( 34,234,355,193,215)
4354        ( 38,228,345, 59,164, 42,315,224,186,191)( 40,261,339,232,236,205,104,
4355         235,207,162)( 47, 86,219,120,344,133, 61,119,126,299)
4356        ( 55,123,130,301,249, 95,108, 69,270,210)( 57,161,293,348,238, 60,177,
4357         117,272,231)( 70, 88,324,244,100)( 78,144,220,297,359)
4358        ( 82,331,218,167,268,110,173,286,189,226)( 83,307,283,354,333,160,149,
4359         267,257,338)( 89,202,195,194,352)( 96,206,337,102,148,305,200,312,
4360         129,109)(107,111,256,334,171,289,204,295,118,185)(134,351,179,311,
4361         340,296,271,168,325,169)(147,251,292,153,214,245,252,247,217,302)
4362        (201,259,277,298,326), (  1,122,117, 52,326,172, 61,140,121, 58)
4363        (  2, 14, 96,165, 87, 16, 21,182, 38,287)(  3, 83,256, 88,225, 51,221,
4364         205, 39,202)(  4,358,  5,342, 93,131,285,161,124, 76)
4365        (  6,325, 70,235,252, 36,268,162, 23, 72)(  7,190,104,259, 17, 48,103,
4366         334, 63, 89)(  8,208, 15,160,157, 19,111,113,228,288)
4367        (  9,215, 66,166,283, 40,284,168, 29,281)( 10,303,102,266,242,149,299,
4368         54,145,300)( 11,278,115,321,341,150,114,188, 41,159)( 12,274,260,175,
4369         234,179, 27,184, 24,352)( 13, 84,109, 65,231,286,262,279, 43,219)
4370        ( 18,244,224,318,347,322,313,196,139,311)( 20,214,276,213,238,351,241,
4371         275,128,306)( 22, 78,227,348,307,100, 92,346, 28,350)
4372        ( 25, 53, 79,339,123,264,135,328,130,127)( 26,261,110,277,249,336,153,
4373         257, 71, 81)( 30,240,169,198,280,295,178, 56,126, 75)
4374        ( 31,270, 82,112,304,317,305,232,151,291)( 32,258, 73,302,210, 97,125,
4375         164,273,199)( 33,282, 95,211,237,158,296,204,301,106)
4376        ( 34, 85, 47,194,226,156,193,265,183,203)( 35,138, 80,355,186,155,292,
4377         330, 67,230)( 37, 99, 60,195,136,173,189,290, 74,250)
4378        ( 42,319, 44,152,217,343,212,335,263,320)( 45,349,105,323,170, 59,315,
4379         146,141,327)( 46, 55,294,171, 90, 69,340,191,229,267)
4380        ( 49,239,324,331,218,148,116,192,133,207)( 50,271,201,314,209,180,118,
4381         185,206,223)( 57,248,181,337,293,289,129,255,345,245)
4382        ( 62,101,163,269,107,236, 68,312,137,272)( 64,132,167,354,143, 86,174,
4383         222, 91,220)( 77,119,297,187,247,309,154,329,200,233)
4384        ( 94,298,177,197,333,253,251, 98,144,254)(108,356,120,344,134,308,357,
4385         310,243,142)(147,332,176,359,353,316,246,216,360,338) ] ],
4386[ 11, 518400, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 40, 2 ] ], 1,
4387  "Alt(6)^2.2^2", [ "A", 6, 2 ],
4388  [ (  1, 17,277, 33)(  2,338,105, 38)(  3,350,248,  4)(  5,179,212,333)
4389        (  7,278,197,141)(  8, 48, 10,122)(  9,147,154,133)( 11,314,354, 47)
4390        ( 12,102,289, 31)( 13, 72,233,221)( 14, 85,111,131)( 15,139, 40,344)
4391        ( 16,185,347, 42)( 18,353,292,290)( 19, 71,207, 26)( 20,259,276,200)
4392        ( 21, 27)( 22,175, 41, 86)( 23,117,337,127)( 24,300,247,213)
4393        ( 25,177,156,149)( 28, 66,251,135)( 29, 64, 83,112)( 30,161,257,282)
4394        ( 32,168,316,171)( 34, 89, 82,110)( 35,180,210,228)( 36,311,261,123)
4395        ( 37, 50,260,169)( 39,114,209,294)( 43, 68,332,310)( 44,265,355,272)
4396        ( 45,331,195, 76)( 46,173,345,121)( 49,343, 56,281)( 51,128,235,124)
4397        ( 52,120,202,224)( 53,270, 88,158)( 54,267,181,256)( 55,321,144,306)
4398        ( 57,327,298,339)( 58,274,323,208)( 59,116, 94,134)( 60,303,143,230)
4399        ( 61,219,325,266)( 62,104,226,170)( 63,341,283,211)( 65,119,184, 87)
4400        ( 67,223,107,349)( 69,234,324,130)( 70,275,201,304)( 73,136,205,351)
4401        ( 74,140,101,293)( 75, 81,165,160)( 77,236,152,167)( 78,106,206,243)
4402        ( 79,253,297,196)( 80,360,326,313)( 84,162,204,187)( 90,312,203,115)
4403        ( 91,352,238,309)( 92,286,335,279)( 93,302,322,359)( 95,118,216, 96)
4404        ( 97,113,138,199)( 98,183,231,126)( 99,301,348,125)(100,291,240,329)
4405        (103,222,163,164)(108,284,330,271)(109,336,151,159)(129,342,192,264)
4406        (132,150,340,178)(137,250,295,328)(142,188,356,252)(145,172,218,258)
4407        (146,319,245,318)(148,241,227,280)(153,285,157,317)(155,229,287,315)
4408        (166,191,190,308)(174,320,268,299)(176,193,186,239)(182,215)
4409        (189,198,254,358)(194,237,255,296)(214,242,220,232)(217,249,262,346)
4410        (225,307,246,357)(263,269,334,305)(273,288),
4411      (  1, 99,298, 38, 50,204,123,114, 57,301)(  2, 76,266,182,268,291, 39,
4412         186,160,237)(  3,202, 30,184,142,103,141,271, 71,239)
4413        (  4,261,273,260, 68, 28,247, 84,151, 16)(  5,117, 75,137,168,279,129,
4414         91, 24,311)(  6,217, 46, 67,177, 56,145, 20,121,318)(  7,228, 26, 77,
4415         12,147,  8,132, 81,108)(  9,207,337, 66, 44,270, 34,205,345,128)
4416        ( 10,325, 13,190,136, 41,329,116,146, 98)( 11,282, 74,294,125,241,110,
4417         350,195,269)( 14, 18, 58,208,254,104, 25,138,256,191)
4418        ( 15,258,335,321,118,257,156, 22,219,174)( 17,354,192,211, 93,287, 33,
4419         334,339,305)( 19,236, 23,357, 49,285, 32,167, 31,328)
4420        ( 21, 72,248,360,314,292,139,105,134,112)( 27, 83, 94,209, 86,227,315,
4421         242,332,203)( 29,245, 54,249, 64)( 35, 51,173,199, 69,265, 88, 42,
4422         316,102)( 36, 37, 45,327,100)( 40, 97,308,115,299,197,126,346, 59,331
4423         )( 43,194,289,150, 48,164,274,170, 92,309)( 47, 85,312,140,336,187,
4424         206,278,144,157)( 52,306,215, 96,352,313,225,230,153,232)
4425        ( 53,342, 70,281,359,185,307,218,119, 80)( 55,303,216,284,133,183,181,
4426         231,180,178)( 60,159, 78,222,252,344,176,330, 61,293)
4427        ( 62,149,317,135,264,343,201,302,355,220)( 63, 82,358,324,283,272,214,
4428         275,326,158)( 65,189,356,188,148,131,166,267,351,172)
4429        ( 73,319,262,113,198)( 79,300,143,333,320,340,296,175,323,163)
4430        ( 87,304,226,276,124,106,288,196,235,107)( 89,251,224,341,238,347,130,
4431         349,244,259)( 90,221,255,152,193)( 95,122,297,162,213,179,233,111,
4432         229,246)(101,169,109,120,322,161,127,295,165,171)(154,250,210,243,253
4433         )(155,263,240,310,234,290,348,338,212,286)(200,353,277,280,223) ] ],
4434[ 12, 518400, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
4435  "Alt(6)^2.2^2", [ "A", 6, 2 ],
4436  [ (  1, 52,221,113)(  2,292,281,357)(  3,260, 47, 55)(  4,262, 64,264)
4437        (  5,  8,280,290)(  6,170,344, 59)(  7,218,196,175)(  9,307,224,106)
4438        ( 10,180,103,208)( 11, 50,225, 82)( 12,189, 96,120)( 13,150, 26, 70)
4439        ( 14,153,333,115)( 15, 84,187,293)( 16, 25,251,154)( 17,238, 62,186)
4440        ( 18,340,345,261)( 19,135,133, 45)( 20,138,233,294)( 21,125,359,266)
4441        ( 22, 83,119,181)( 23,193, 48, 61)( 24,298,306, 72)( 27,337,216,335)
4442        ( 28,249,197, 53)( 29, 36,285, 76)( 30,222, 66,242)( 31,179,268,149)
4443        ( 32, 95,350,265)( 33, 90,101,326)( 34,142,320,334)( 35,239, 60,286)
4444        ( 37,255,161,121)( 38, 54, 40,140)( 39,277,155,328)( 41, 69,231,351)
4445        ( 42,157,237,162)( 43,302,226,322)( 44,348,301,300)( 46,305,248,310)
4446        ( 49,355,349,110)( 51,123,313,210)( 56,159,147,190)( 57, 73,148,122)
4447        ( 58,107,223,318)( 63,245,220,339)( 65, 79,167,327)( 67,152,309,117)
4448        ( 68,358,354,243)( 71,338, 81,166)( 74,330,128,336)( 75,164,126,102)
4449        ( 77,156,315,269)( 78,215,323,234)( 80,331, 92,240)( 85,173,263,136)
4450        ( 86,212)( 87, 89)( 88,342,178,250)( 91,232,139,205)( 93,272,353,177)
4451        ( 94,199)( 97,284,311,202)( 98,111,158,241)( 99,169,276,270)
4452        (100,131,130,253)(104,184,132,146)(105,329,185,211)(108,258,227,137)
4453        (109,244,343,299)(112,271,129,324)(114,296,230,165)(116,295,141,317)
4454        (118,254,356,134)(124,200,198,172)(127,228,319,204)(143,278,283,304)
4455        (144,195,203,325)(145,289,163,257)(151,346,206,274)(160,201,303,188)
4456        (168,341,213,183)(171,352,214,288)(174,191,360,332)(176,312,219,217)
4457        (182,229,194,256)(192,259,246,252)(207,236,291,287)(235,347,282,279)
4458        (247,275,314,316)(273,308,297,321),
4459      (  1,306, 36,215,238,157, 74,242, 18,345)(  2,233, 12, 58,353)
4460        (  3, 64,278, 90, 62,143,296,156,110, 47)(  4,187,168, 27, 73,281,  7,
4461         308,185,252)(  5,135, 66, 21,108,259,287,194,138,307)
4462        (  6,182, 96,284,240,332,129,359, 25, 37)(  8,164,162, 72,134,146,206,
4463         24, 45, 50)(  9,150)( 10,327, 89, 95,152, 17,299, 30,225, 98)
4464        ( 11, 35, 40,321,271)( 13,280, 16,112,229,220,318, 52,119, 51)
4465        ( 14,141, 42, 70,103)( 15,132, 19,203, 53,223,101,142,123, 63)
4466        ( 20,355, 68,131,343,283,174,231, 91,310)( 22,113, 48,323,200,209,253,
4467         344,329,133)( 23, 85,245,251,181, 76, 71,250, 82,249)
4468        ( 26,179,191, 29,267,205, 55,176,257, 44)( 28, 75,140,163,294,115,151,
4469         88,214,336)( 31,127,201,190,274,226,315,227,116,279)( 32,189,254,111,
4470         357,289, 56,244,291,302)( 33,170,269,197,303,158,309, 78,218,198)
4471        ( 34,305,104,122,114,222,312,326,241,258)( 38,166,167, 83,286,290,335,
4472         125,128,171)( 39,338,117,221, 86,330,210,234,282,213)( 41,118)
4473        ( 43,236,165,188,247,348, 60,265, 46,320)( 49,224,172,178,173,288,196,
4474         159,319,316)( 54,275,276, 79, 92,177,266,153,202,207)
4475        ( 57, 81,192,255, 97)( 59,346,350,243,351,314,109,183,331,354)
4476        ( 61, 80,154, 69,216,270,352,139, 65,256)( 67, 94,161,349,180,219,100,
4477         87,317,105)( 77,107,102,328,272,126,295,260,325,149)( 84,106,148,195,
4478         264,246,337,341,237,228)( 93,301,235,356, 99,298,358,232,169,273)
4479        (120,297,292,239,175)(121,199,334,340,217)(124,293,333,208,193,311,
4480         277,304,313,136)(130,263,137,268,145,261,184,144,204,339)
4481        (147,160,230,186,262,212,322,248,360,300)(211,324,285,342,347) ] ],
4482[ 13, 518400, 0, "3b", [ [ 45, 1 ], [ 90, 1 ], [ 80, 1 ], [ 72, 2 ] ], 1,
4483  "Alt(6)^2.2^2", [ "A", 6, 2 ],
4484  [ (  1,321,298,299)(  2,290, 17,246)(  3,125,236, 99)(  4,244,254, 49)
4485        (  5,304, 33,322)(  6,248,143,198)(  7, 44, 70,129)(  8,241,215,333)
4486        (  9,223,283,177)( 10,216)( 11,263,235,314)( 12, 13,234,131)
4487        ( 14,163,251,313)( 15, 88,165, 81)( 16,169, 89,120)( 18,144,158, 57)
4488        ( 19, 71,352, 65)( 20,265, 93, 24)( 21,195, 90, 28)( 22,336,187,268)
4489        ( 23,112,202,222)( 25,118,295,249)( 26,296,100,117)( 27,360,142, 73)
4490        ( 29,269,337,282)( 30,253,128,190)( 31,164,324,323)( 32,110, 34,243)
4491        ( 35,264,256,245)( 36, 46, 72,220)( 37,305,208,329)( 38,270,174,250)
4492        ( 39,213, 75,293)( 40,210,209,258)( 41, 55, 74,277)( 42, 69,335,252)
4493        ( 43,348,273,303)( 45,103,111,205)( 47,242, 91,316)( 48,162,157,101)
4494        ( 50,135,326,186)( 51, 66, 87, 62)( 52,116, 83, 92)( 53,227,107,151)
4495        ( 54,344,197,156)( 56,310)( 58,194, 64,260)( 59,136,171,127)( 60,332)
4496        ( 61, 84,228,355)( 63,211, 86,272)( 67,342,160,133)( 68,343,288,126)
4497        ( 76,237,311,351)( 77,281,189, 98)( 78,331,121, 79)( 80,334,224,238)
4498        ( 82,176,232,226)( 85,104,308,196)( 94,229,155,173)( 95,359,182,145)
4499        ( 96,192,317,204)( 97,289,257,115)(102,291,188,161)(105,154,212,175)
4500        (106,119,347,354)(108,159,320,338)(109,318,327,140)(113,123,207,297)
4501        (114,349,225,307)(122,292,262,328)(124,239,138,221)(130,214,312,286)
4502        (132,280,218,271)(134,255,185,274)(137,325,139,200)(141,201,266,181)
4503        (146,319,147,300)(148,172,339,267)(149,276,357,275)(150,285,278,346)
4504        (152,231,350,183)(153,330,217,306)(166,345,170,279)(167,301,358,230)
4505        (168,199,287,309)(178,259,219,180)(179,340,284,302)(184,315,240,206)
4506        (191,261,233,193)(203,356)(247,353,341,294),
4507      (  1,196,158,117,207,175,212,273,150,355)(  2,174,141,210, 57,334,292,
4508         303,199,313)(  3, 15,241, 17,173,121,326, 56, 38,305)
4509        (  4,287,218,  6, 59,257, 66, 67,259, 93)(  5,233,229,260,244,161,282,
4510         114,209,289)(  7,336,311,256,164,314,242,301,220, 73)
4511        (  8,211,146, 96, 44,253,347,183,267,335)(  9,238,332,102,204, 40,170,
4512         77,237, 18)( 10,165,264,350, 84,328, 89, 47, 35,324)( 11,240,130,251,
4513         160,140,248,120,137, 21)( 12,265, 88,285,236,166, 25, 98,119,185)
4514        ( 13,112,106, 82,134,286,277, 54,351,297)( 14,168,200,226,227,228, 87,
4515         189,126,340)( 16,247, 42,249,144,104,296,343, 85,116)
4516        ( 19, 53,205,304,147, 94,135,143,356,128)( 20,318,306, 22,181,232,156,
4517         327,100,216)( 23,283,348,122,279)( 24,103, 68,338,187,172,202, 91,
4518         123, 99)( 26,148,195,182,213,300, 80, 74, 90,316)( 27,345,113,201,
4519         360,331,342, 58, 62, 32)( 28,235, 61,281,109)( 29,268,125,167,214,
4520         179, 86,315,157,169)( 30,299,223,197, 31,295,323,184,239,275)
4521        ( 33,266,219,294, 55,302,250,221,352,346)( 34,108,151, 70, 95,139,293,
4522         71,162,322)( 36,190,118,136,178, 63,225, 43,145,129)( 37, 39,153,254,
4523         321,270,177,263,284,252)( 41, 69,337,222, 79, 72,272,124,288,149)
4524        ( 45,101,180, 83,339, 76,354,341,231,310)( 46, 51,154,115,217,107, 52,
4525         358,230,344)( 48, 75,330,105,357,206,280, 49,194,291)
4526        ( 50, 78,203,224, 65,159,111,198,319,271)( 60,317,138,278, 81,290,276,
4527         132,171,193)( 64,155,261,186, 97,325,307,152,188,359)
4528        ( 92,234,298,131,127,208,191,269,110,353)(133,349,192,333,243,274,258,
4529         262,215,320)(142,308,309,255,163,329,245,246,176,312) ] ],
4530[ 14, 518400, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
4531  "Alt(6)^2.2^2", [ "A", 6, 2 ],
4532  [ (  1, 48, 31, 29,327,127)(  2, 38,198,153,122, 81)(  3,224, 11, 30,281,320
4533         )(  4,359,118, 26,223, 20)(  5,200,258,140, 64,151)(  6,255,120,123,
4534         202,188)(  7,204,262, 42,264,346)(  8,220,212, 43, 85,275)
4535        (  9,282,279,278,306,106)( 10, 96, 75,146, 66,155)( 12,190, 54, 36,
4536         285, 61)( 13,158,217,174,187,294)( 14,256,154,229,117,196)
4537        ( 15,344,191,237,119,105)( 16,178,310,164,300,199)( 17,247,143,185,
4538         350,192)( 18,354,171,293,349,112)( 19,195,115,173,159,182)
4539        ( 21, 94,243,108,342,203)( 22, 82,272,329,233,355)( 23,252, 59,152,
4540         184,161)( 24,304,336,194,103,116)( 25,230, 50,139, 45, 62)
4541        ( 27,244,176, 34, 88,234)( 28,111,267, 32, 77,317)( 33,141,297, 35,
4542         128, 80)( 37,309,135,133, 44,351)( 39,277,148,124,206,322)
4543        ( 40,113,210, 53, 76,168)( 41,100,311,130, 51,296)( 46,236,357,343,
4544         261, 72)( 47,213,104,221,345, 79)( 49,251,302,189,225,314)
4545        ( 52,333,268,160,249,211)( 55,162,319, 56,172,338)( 57,169,170, 65,
4546         260,163)( 58, 89, 68,183,353,270)( 60,149,136,315,150,269)
4547        ( 63,110,248,352,147,301)( 67,156,201,197, 71,276)( 69,131,193,312,
4548         121,250)( 70,290,125,227,265,308)( 73,208,339,180,132,165)
4549        ( 74,257,109,209,232,167)( 78,332,334,253,129,326)( 83,134,137, 91,
4550         323,324)( 84, 97,356,166,181,340)( 86,142,222,280,219, 93)
4551        ( 87, 90, 99,358,179,177)( 92,316, 95,313,307,292)( 98,214,175,245,
4552         287,328)(101,218,186,238,138,205)(102,263,242,321,216,144)
4553        (107,286,295,240,335,330)(114,318,241,271,207,291)(126,341,331,145,
4554         215,289)(157,283,231,254,226,337)(228,299,305,239,246,347)
4555        (235,303,266,259,325,288)(273,348,360,274,298,284),
4556      (  1,114, 47, 41,346,179)(  2,108,160,291, 12,182)(  3,357,109,313,202,
4557         199)(  4,247,335, 28,261, 22)(  5,167,289,128,194,306)
4558        (  6, 20,134,131,138,203)(  7,132,266, 39,228, 81)(  8, 77,147, 26,
4559         186, 76)(  9,303, 32,271,333,127)( 10,308, 95,204,298,187)
4560        ( 11,240,218,359,201,135)( 13,226,197,116,196, 40)( 14,356,305,104,
4561         267, 93)( 15,151,174,214,324, 63)( 16, 84,158,156,321,275)
4562        ( 17,242,191,351,292,339)( 18,145,166)( 19, 91,344,216,163,161)
4563        ( 21,211,287, 94,254,188)( 23,170, 44,274,225,279)( 24, 96,322,340,
4564         259,293)( 25,217,189)( 27,334,148,121, 83,332)( 29,245,249)
4565        ( 30,323,169,270,181,236)( 31,295, 52,141,316,103)( 33,105,112,139,
4566         318,256)( 34,349,175,133,205, 48)( 35,183, 78,130, 51,184)
4567        ( 36,327,243,152, 90,250)( 37, 45,193)( 38,297,246,122,106, 98)
4568        ( 42,117,176, 43,328,180)( 46,360, 65, 58, 86, 56)( 49,284,173,129,
4569         159,164)( 50,115,124,336,206,140)( 53,286,348,185,234,263)( 54, 64)
4570        ( 55,330,251, 88, 71,265)( 57,111,213,233, 87,136)( 59,107,157, 85,
4571         144,301)( 60,231,320,101,285, 75)( 61,168, 69,341,352, 92)
4572        ( 62,282,195,343,110,294)( 66,120,300,239,230, 89)( 67,315,209,227,
4573         192,172)( 68,273,283,258,219,358)( 70, 80,149,355,241,338)
4574        ( 72,177,208,354,248,314)( 74,155)( 79,238,252,137,153,171)
4575        ( 82,326,272,257,260,118)( 97,123,329)( 99,325,126)(100,221,154,210,
4576         253,255)(102,244,232,150,222,311)(113,262,200,277,223,353)
4577        (119,310,269,317,220,342)(125,302,264,307,281,212)(142,215,347,345,
4578         165,296)(143,178,337,309,207,224)(146,278,304,276,162,331)
4579        (190,312,288,235,229,299)(198,319,280)(290,350) ] ],
4580[ 15, 518400, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
4581  "Alt(6)^2.2^2", [ "A", 6, 2 ],
4582  [ (  1,317,270,191,221,295,169,332)(  2,234, 16, 62,281,215,251, 17)
4583        (  3,297,228,175, 47,273,204,218)(  4,264, 95,350, 64,262,265, 32)
4584        (  5,173, 68, 80,280,136,354, 92)(  6, 48, 69,275,344, 23,351,316)
4585        (  7,127,321, 55,196,319,308,260)(  8,331,243,263,290,240,358, 85)
4586        (  9,258,203, 84,224,137,144,293)( 10,180, 20,294,103,208,233,138)
4587        ( 11,283,284,326,225,143,202, 90)( 12, 31,155,269, 96,268, 39,156)
4588        ( 13,107,291, 24, 26,318,207,306)( 14,153,329,105,333,115,211,185)
4589        ( 15,325,108,307,187,195,227,106)( 18,229,104,271,345,256,132,324)
4590        ( 19,296,159,216,133,165,190, 27)( 21,148, 91,152,359, 57,139,117)
4591        ( 22, 66,312,279,119, 30,217,347)( 25,323,292,186,154, 78,357,238)
4592        ( 28,158, 79,334,197, 98,327,142)( 29,336,110,134,285,330,355,254)
4593        ( 33, 97,304, 82,101,311,278, 50)( 34, 65,241, 53,320,167,111,249)
4594        ( 35,342,164,272, 60,250,102,177)( 36,118,349, 74, 76,356, 49,128)
4595        ( 37,343, 44,130,161,109,301,100)( 38,274,305, 71, 40,346,310, 81)
4596        ( 41, 61, 59,247,231,193,170,314)( 42,339,214,192,237,245,171,246)
4597        ( 43,198,200,302,226,124,172,322)( 45,337,147,114,135,335, 56,230)
4598        ( 46,151,140,166,248,206, 54,338)( 51,289,303,341,313,257,160,183)
4599        ( 52,360,276,116,113,174, 99,141)( 58,150,298,236,223, 70, 72,287)
4600        ( 63,162,252,288,220,157,259,352)( 67,232, 73,125,309,205,122,266)
4601        ( 75,178,286, 93,126, 88,239,353)( 77,277,179,120,315,328,149,189)
4602        ( 83,235,176,242,181,282,219,222)( 86,212)( 87,209, 89,267)
4603        (112,184,182,340,129,146,194,261)(121,131,348,244,255,253,300,299)
4604        (123,213,201,163,210,168,188,145), (  1,182,199,279)(  2,322,149,251)
4605        (  3,253,319, 99)(  4, 17,245, 59)(  5, 33,298,266)(  6,331,109,357)
4606        (  7,129, 45, 29)(  8,243,145, 10)(  9,329,194,233)( 11,124,232,248)
4607        ( 12,323,102, 97)( 13, 75,342,324)( 14,277,340, 44)( 15, 67,114,293)
4608        ( 16,333,150,354)( 18, 51,221,287)( 19,117,237,207)( 20,189,353, 39)
4609        ( 21,286,344,202)( 22,242,201,108)( 23, 90,126,265)( 24, 57, 36,249)
4610        ( 25,244,274,210)( 26,165,123,186)( 27, 60,270,193)( 28, 64,325,310)
4611        ( 30,143, 34,295)( 31,131,224, 87)( 32,254,337,262)( 35, 91,261,222)
4612        ( 37,235, 49,120)( 38,236,177,113)( 40,282,220,132)( 41,128,111, 55)
4613        ( 42,187, 88,115)( 43,360,308,212)( 46,198,122,107)( 47, 63,347,148)
4614        ( 48,252,214,204)( 50,160,317,169)( 52,276,246,345)( 53,313,223,268)
4615        ( 54,127, 93,192)( 56,179,250,188)( 58,106,140,196)( 61,130,291, 81)
4616        ( 62,225,334,351)( 65, 66,171, 84)( 68,303,338,178)( 69, 73, 85,144)
4617        ( 70,137,100,208)( 71,336, 79,238)( 72,168,328,230)( 74,138,297,174)
4618        ( 76, 89,288,161)( 77,118,240,185)( 78,273,343,136)( 80,197,184,305)
4619        ( 82,162,213,326)( 83,315,241,141)( 86,234,356,164)( 92,229,170,263)
4620        ( 94,155,285,306)( 95,176,316,153)( 96,209,116,264)( 98,110,167,147)
4621        (101,327,166,227)(103,206,271,309)(104,112,307,349)(105,292,134,156)
4622        (119,228,180,299)(121,158,157,154)(125,302,152,314)(133,283,301,175)
4623        (135,272,352,211)(139,296,247,183)(142,195)(146,205)(151,218,255,190)
4624        (159,216,219,280)(163,258,355,341)(172,304,267,173)(181,321,217,278)
4625        (191,239,294,260)(200,284,332,257)(215,312,335,359)(226,311,289,348)
4626        (231,350,300,269)(256,318)(259,330,290,281)(275,346,320,358) ] ],
4627[ 16, 1036800, 0, "3b", [ [ 45, 1 ], [ 144, 1 ], [ 90, 1 ], [ 80, 1 ] ], 1,
4628  "Alt(6)^2.2^3", [ "A", 6, 2 ],
4629  [ (  1, 53,202,227,359,310,193,  7)(  2,117,138,321,308,165, 54, 36)
4630        (  3, 25,122, 78,265,357,353, 89)(  4,358, 61,144,172,  5,342, 86)
4631        (  6, 52,190, 65,334,156,222,213)(  8, 79, 75,228,176,299,106, 71)
4632        (  9, 58,219,116,102,262,243,114)( 10,184, 12, 70,159, 41,194,168)
4633        ( 11,207,179, 24,300,186, 34,278)( 13,270,267,253,291,120,245, 17)
4634        ( 14, 15, 76,254,242, 96,143,140)( 16, 80,282,230,125,111,115,100)
4635        ( 18, 85,133,244,170, 29,352, 51)( 19, 95,127,160,336,169,266,316)
4636        ( 20,327, 90,223, 46, 45,319, 64)( 21, 22,121,239,263,354,183,307)
4637        ( 23, 60,285,312,234,286,241,199)( 26,302,154,147, 50,110,306,314)
4638        ( 27,355, 59, 37,235, 47, 99,225)( 28,214,338,107,360, 42,259,209)
4639        ( 30,281,231,103,188,113,232, 66)( 31,277,180, 44,261,206,216,309)
4640        ( 32,349,247,233,320,345,289,249)( 33,303,238, 72,192,257,237,136)
4641        ( 35,328,119,178,224,273,280,284)( 38,152,283,132,185,150,269,187)
4642        ( 39,131,211,173,251,348,305,166)( 40,104,258,333,332,260, 55,201)
4643        ( 43,326,174,279,149, 98, 93,208)( 48, 49,264,163, 88,351,198,347)
4644        ( 56,153,252,324,335,145,240,196)( 57,255,276,297,329,141,112, 81)
4645        ( 62,288,218,340,109,295, 91,108)( 63, 94,313,126,124, 83, 67,164)
4646        ( 68,135,325, 92,290,301,212,221)( 69, 73,287,346,129,356,210,298)
4647        ( 74,203,151,181,130,195,315,217)( 77,123,215,155,204,317,250,158)
4648        ( 82,350,292,118,171,175,246,177)( 84,200,236,341,271,220,330,128)
4649        ( 87,274,101,161,311,331,304,343)( 97,226,318,275,323,139,339,337)
4650        (105,256,142,294,134,205,146,191)(137,344,167,296,182,229,162,157)
4651        (148,322,293,272,248,189,268,197),
4652      (  1,209,  5,260,186,145, 71,122,234,136)(  2,137,106,238,232,340,116,
4653         270,229,152)(  3, 35,212, 93,196, 59,121,350,109, 23)
4654        (  4,147,115,216, 95, 38,183,226,201,166)(  6,117,217,193,  7, 27,102,
4655         285,360, 39)(  8,218,224,153,187,127,173, 76,180,330)
4656        (  9,231,243,268,244,287,273,300,101,269)( 10,249, 31, 85,130,338,172,
4657         28, 22,123)( 11,100, 55, 24,301,120, 92,275, 15,328)( 12,159,126,124,
4658         17,324,181, 25,128,210)( 13,239, 87,254,349,267,342, 72, 78, 16)
4659        ( 14,223,312,242,291,211,162,138,294,245)( 18,112, 90,142,255,214, 63,
4660         343, 65, 97)( 19,207,325,125, 64, 69, 94,358,283,295)
4661        ( 20,108, 54,190,334,167,114,274,144,103)( 21,253, 68,341, 60,305,165,
4662         99,134,319)( 26,311, 66,346, 86,140, 83,326,298,208)( 29,332,276,356,
4663         313,139,185,105, 73,213)( 30,146,154,322,272,230,315,257,355, 62)
4664        ( 32, 82,237,241,314, 43,344, 79,259,143)( 33,293,339,202,335,133,278,
4665         157,195,225)( 34,197,304,104, 77, 41,316, 96,194,284)
4666        ( 36,132,176,347,182,336,204,184,271,308)( 37, 48,227,203,170,131,251,
4667         256,261,323)( 40,348,354,189,158,233,289,282,320,200)
4668        ( 42,156,169,333,329,141,277,252,359,309)( 44,206,310,299,302,220, 74,
4669         110,171,198)( 45,151,353,188,263,161, 67,175, 49,191)
4670        ( 46,219,280,296,235,288, 75,264,107, 98)( 47,351,222,205,247,149,221,
4671         118, 88, 56)( 50, 80,199, 61,265,148, 84, 58,337,113)
4672        ( 51,286,307,111,129,345,327,258,250,168)( 52,236,266, 57,306,317,178,
4673         179,155,164)( 53,150,262,177,192,119,135,331,279, 81)
4674        ( 70,318,357,246,163,321,228,303,352,215)( 89,174,290,292, 91,248,160,
4675         281,297,240), (  1, 32,136, 71, 61,231,171,306,222,194)
4676        (  2,109, 17,173,274,288,325,281,334, 45)(  3,160,122,  6,166)
4677        (  4,341,249,311,321, 51, 73,300,256, 83)(  5,344,172,218,331,207,182,
4678         99,104,349)(  7, 56,314,345,163,310, 40,355,139, 84)(  8, 62,360, 57,
4679         312,248, 63,280,351,214)(  9, 47,226,102, 48,348,253,327,190,167)
4680        ( 10, 65,324,293,342,140,328, 25,191,186)( 11,134,115,332, 88,223,250,
4681         319,168,247)( 12,197,343, 94,221,358, 38, 50, 95,120)
4682        ( 13,299,285,260,318)( 14, 43,175,187,144,230,235, 37,275, 59)
4683        ( 15,114, 93,147,339, 27,198,159,113,138)( 16,335,257,116,111,236,107,
4684         233,211,145)( 18,315,326,128, 97,330,129,202,294,295)
4685        ( 19,174,303,121,103, 77, 24, 64,169,338)( 20, 44,276,210,156,155,286,
4686         282,184,205)( 21,189,259, 26,215,126, 23,225,337,267)
4687        ( 22,158,227,277,127,269,329, 53, 41,105)( 28,181,208,254,228,135,305,
4688         237,278,131)( 29,152, 39,119, 86,149,179,289,118,244)
4689        ( 30,352,130,212,213,192, 90,258,201,106)( 31, 55,143,229, 92,347,199,
4690         89,320,302)( 33,164,313,153,239)( 34, 81,284,125,206,154,308,220,180,
4691         240)( 35,304, 85, 36,346,110, 75, 96,183, 52)( 42,216,309,195,133,
4692          74,170,151,292,112)( 46,252,350,165,132, 49,287, 66,316,161)
4693        ( 54,188, 68,272,353)( 58,283,217, 82,266,157,234,264,137,245)
4694        ( 60,354,224,251,317, 69,322,270,162,271)( 67,238,108,246,203,290,359,
4695         255,262,296)( 70,297, 79,124,123,209,323,219,333,261)
4696        ( 72,273,268,301, 87,150,101,356,177,298)( 76,185,336, 80,243)
4697        ( 78,141,263,193,146)( 91,265,204,340, 98)(100,291,178,307,196,357,
4698         142,148,241,242)(176,200)(232,279) ] ],
4699[ 17, 23133960, 1, "2", [ [ 359, 1 ] ], 2, "PSL(2, 359)",
4700  [ "L", [ 2, 359 ], 1 ], "psl" ],
4701[ 18, 46267920, 0, "2", [ [ 359, 1 ] ], 3, "PGL(2, 359)",
4702  [ "L", [ 2, 359 ], 1 ], "pgl" ],
4703[19, Factorial(360)/2,1,"2",[[359,1]],358, "Alt(360)", ["A",360, 1], "Alt"],
4704[20, Factorial(360),0,"2",[[359, 1]],360, "Sym(360)", ["A",360, 1], "Sym"]];
4705PRIMGRP[361]:=
4706[[ 1, 7398765226737409606771802112000000, 0, "4c", [ [ 36, 1 ], [ 324, 1 ] ],
4707  1, "Alt(19) wreath Sym(2)", [ "A", 19, 2 ],
4708  [ (  1,236,295,211, 63, 45,360,319, 38,185, 98,332,163, 81,264,282, 12,241,
4709         289,210, 65, 48,344,310, 26,189,110,342,166, 79,256,277,  5,245,301,
4710         221, 70, 42,343,312, 29,173,101,330,170, 91,266,280,  3,237,296,214,
4711          74, 54,354,317, 23,172,103,333,154, 82,254,284, 15,247,299,212, 66,
4712          49,347,321, 35,183,108,327,153, 84,257,268,  6,235,303,224, 76, 52,
4713         345,313, 30,176,112,339,164, 89,251,267,  8,238,287,215, 64, 56,357,
4714         323, 33,174,104,334,157, 93,263,278, 13,232,286,217, 67, 40,348,311,
4715          37,186,114,337,155, 85,258,271, 17,244,297,222, 61, 39,350,314, 21,
4716         177,102,341,167, 95,261,269,  9,239,290,226, 73, 50,355,308, 20,179,
4717         105,325,158, 83,265,281, 19,242,288,218, 68, 43,359,320, 31,184, 99,
4718         324,160, 86,249,272,  7,246,300,228, 71, 41,351,315, 24,188,111,335,
4719         165, 80,248,274, 10,230,291,216, 75, 53,361,318, 22,180,106,328,169,
4720          92,259,279,  4,229,293,219, 59, 44,349,322, 34,190,109,326,161, 87,
4721         252,283, 16,240,298,213, 58, 46,352,306, 25,178,113,338,171, 90,250,
4722         275, 11,233,302,225, 69, 51,346,305, 27,181, 97,329,159, 94,262,285,
4723          14,231,294,220, 62, 55,358,316, 32,175, 96,331,162, 78,253,273, 18,
4724         243,304,223, 60, 47,353,309, 36,187,107,336,156, 77,255,276,  2,234,
4725         292,227, 72, 57,356,307, 28,182,100,340,168, 88,260,270)
4726        (115,198,124,192,120,197,132,205,133,204,117,199,125,195,131,206,126,
4727         203,118,191,122,200,116,196,121,208,129,209,128,193,123,201,119,207,
4728         130,202,127,194)(134,141,143,135,139,140,151,148,152,147,136,142,144,
4729         138,150,149,145,146,137),
4730      (  1,144,263, 33,221,305,139,301, 22,240,322,120,304, 98,237, 18,125,
4731         266,109,218)(  2,277,252, 90,224,191,140,187, 21,278,309, 82,300,193,
4732         235,189,116,285,100, 85, 15,201,254,185,211,267,138, 92, 34,202,311,
4733         177,287,269,233, 94,129,209,102,180)(  3,239,265,128,228, 96,142, 16,
4734         30,259,318,215,286,136,244, 37,126,323,101,294)(  4,163,260, 71,213,
4735         153,146, 73, 23,164,317, 63,289,155,241, 75,118,171,108, 66)
4736        (  5, 87,262,204,216,172,135,282, 24, 88,319,196,292,174,230,284,119,
4737          95,110,199,  7,182,249,280,214, 77,148,206, 26,183,306,272,290, 79,
4738         243,208,121,190, 97,275)(  6,296,250,242,227,115,152,111, 28, 12,315,
4739         253,299,212,229,151,130, 38,107,313)(  8,353,255,356,217,343,141,358,
4740         27,354,312,348,293,345,236,360,122,361,103,351)(  9, 11,258,261,223,
4741         210,134,149, 35, 31,316,310,291,288,231,246,132,133,114,104)
4742        ( 10,334,264, 52,219,324,150, 54, 29,335,321, 44,295,326,245, 56,124,
4743         342,112, 47)( 13, 68,251,166,222, 58,137,168, 32, 69,308,158,298, 60,
4744         232,170,127, 76, 99,161)( 14,220,248,147,225, 20,145,320, 25,297,307,
4745         234,303,117,247,113,123, 19,106,256)( 17, 49,257,337,226, 39,143,339,
4746         36, 50,314,329,302, 41,238,341,131, 57,105,332)( 40,276,328, 93, 53,
4747         200,330,188)( 42,162,336, 74)( 43, 86,338,207, 45,181,325,283)
4748        ( 46,352,331,359)( 48,333,340, 55)( 51, 67,327,169)( 59,270,157, 89,
4749          72,194,159,184)( 61,156,165, 70)( 62, 80,167,203, 64,175,154,279)
4750        ( 65,346,160,355)( 78,281,195, 83,186,192,273,176)( 81, 91,205,197,
4751         178,173,268,271)( 84,357,198,349,179,344,274,347) ] ],
4752[ 2, 14797530453474819213543604224000000, 0, "4c", [ [ 36, 1 ], [ 324, 1 ] ],
4753  1, "Alt(19)^2.2^2", [ "A", 19, 2 ],
4754  [ (  1,262,297,  7,110,302,349,101, 93,356,196, 86,166,201,143,156,334,146,
4755         308,332,184,305,256,183)(  2, 53,290, 26,113,131,344, 44, 81, 33,208,
4756         124,154, 49,138, 23,341,127,306, 47,176, 20,265,126)(  3, 72,293,273,
4757         98, 74,350,272, 79, 71,198,276,155, 68,141,270,326, 70,312,275,174,
4758          58,255,278)(  4,338,298,311,104,188,343,253, 88, 14,205,295,159,106,
4759         150,346,329, 89,318,199,181,153,258,145)(  5, 34,303,121, 97, 55,347,
4760         25, 94,128,192, 48,157, 30,151,118,325, 51,309, 28,189,115,249, 50)
4761        (  6, 91,299,197,105,169,353,139, 80,337,203,314,161,182,134,251,335,
4762          13,319,294,178, 96,264,354)(  8,281,288, 64,103,283,345, 63, 84,280,
4763         193, 67,160,277,136, 61,331,279,307, 66,179,267,250, 69)
4764        (  9,186,286,254,107, 17,357,291, 83,109,207,352,158, 87,147,194,333,
4765         165,315,142,175,324,260,316)( 10,167,296,140, 99,340,355,310, 85,185,
4766         191,257,164, 11,148,289,330,108,321,351,177, 77,261,202)
4767        ( 12, 15,300,292,102,112,359,348, 82, 90,204,200,162,163,144,137,327,
4768         336,317,313,180,172,248,259)( 16,224,301,216,111,226,358,215, 92,223,
4769         206,219,168,220,149,213,339,222,320,218,187,210,263,221)
4770        ( 18,129,287, 45,100, 36,360,120, 78, 52,195, 29,170,125,135, 42,328,
4771          32,322,123,173, 39,252, 31)( 19,243,304,235,114,245,361,234, 95,242,
4772         209,238,171,239,152,232,342,241,323,237,190,229,266,240)( 21, 56,119)
4773        ( 22, 75,122,268, 41, 62, 27,284,117, 59, 46,271)( 24, 37,132,116, 40,
4774         43)( 35,227,130,211, 54,214)( 38,246,133,230, 57,233)( 60, 65,274,269
4775         )( 73,217,282,212)( 76,236,285,231)(228,244),
4776      (  1,196,145,308,182,280, 55, 75, 19,199,149,309,186,268, 45, 58,  6,
4777         202,137,315,185,283, 56, 76,  9,206,138,319,173,273, 39, 63, 12,194,
4778         144,318,188,284, 57, 66, 16,195,148,306,178,267, 44, 69,  4,201,147,
4779         321,189,285, 47, 73,  5,205,135,311,172,272, 50, 61, 11,204,150,322,
4780         190,275, 54, 62, 15,192,140,305,177,278, 42, 68, 14,207,151,323,180,
4781         282, 43, 72,  2,197,134,310,183,270, 49, 71, 17,208,152,313,187,271,
4782          53, 59,  7,191,139,316,175,277, 52, 74, 18,209,142,320,176,281, 40,
4783          64)(  3,193,136,307,174,269, 41, 60)(  8,200,141,314,179,276, 46, 67
4784         )( 10,198,143,312,181,274, 48, 65)( 13,203,146,317,184,279, 51, 70)
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4786         164, 23,163, 33,169, 37,171, 28,168, 24,167, 21,159)( 22,155)
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4789         338, 78,292,115,329, 88,289,125,337, 93,303,133,332, 92,290,129,325,
4790          83,286,120,335, 80,296,128,340, 94,304,123,339, 81,300,116,330)
4791        ( 79,288,117,326)( 84,295,122,333)( 86,293,124,331)( 89,298,127,336)
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4794        ( 98,231,345,250,212)(100,243,344,254,210,101,240,346,258,223,112,246,
4795         361,256,225)(102,229,348,259,213,106,242,359,265,228,104,244,347,262,
4796         211)(103,238,350,257,217,105,236,352,255,219)(107,232,353,261,226,
4797         113,247,351,263,214,110,230,349,248,215)(108,241,355,260,222) ] ],
4798[ 3, 14797530453474819213543604224000000, 0, "4c", [ [ 36, 1 ], [ 324, 1 ] ],
4799  1, "Alt(19)^2.4", [ "A", 19, 2 ],
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4801         14, 86,254)(  3, 85,261, 10, 83,249, 11, 91,266, 12, 93,265, 16, 80,
4802         260,  5, 82,255)(  4, 89,252,  6, 84,250,  9, 90,257,  7, 78,258, 15,
4803         95,259, 17, 94,263)( 20,134,305)( 21,144,319, 38,145,321, 37,149,308,
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4806         147,314, 26,135,315, 34,152,316, 36,151,320)( 39,210,324,286,172, 96,
4807         343,267,191)( 40,220,338,304,183,112,360,282,194, 51,214,329,293,174,
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4815         283,208, 54,213,336,290,177,103,345,275,204)( 52,219,330,287,182,110,
4816         361,278,207, 56,225,327,298,176,101,350,269,199)( 58,153,229,115)
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4820         119, 63,160,231,123, 71,162,235,116, 68,167,247,126, 74,170,244,118,
4821          70,157,234,122), (  1, 81,171,127,350, 55, 12,195,153, 89,361,131,
4822           8, 43,164,203,343, 93, 19,119,160, 51,354,207)(  2,233,159, 70,351,
4823         36,  3,252,170,336,356,302, 10,176,158,146,346,283, 11,214,167,317,
4824         344,245,  7, 62,161, 32,345,264, 18,328,166,298,352,188,  6,138,156,
4825         279,353,226, 15,309,154,241,349, 74,  9, 24,155,260,360,340, 14,290,
4826         162,184,348,150,  4,271,163,222,357,321)(  5,157,165,355,359, 17)
4827        ( 13,347,169)( 16,100,168,108,358,112)( 20, 79,266,132,331, 52,297,
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4829         248, 94,342,128,293, 48,183,196,134, 80,285,125,217, 53,316,192,229,
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4836        ( 25,136,251,284,334,223,300,314,173,234,140, 61,275, 30,212,262,322,
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4838         272,144,213,281,315,211,243,311, 59,237)( 29,174,253,151,327,280,296,
4839         219,186,310,135,232,273, 68,218, 34,307,249,246,330, 71,294)
4840        ( 35, 98,263,113,339,109,301,105,187,101,149, 99,282,106,225,110,320,
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4842        ( 46, 50,202,191, 77, 95,133,122)( 54,107,206, 96, 92,114,130,103) ]
4843 ],
4844[ 4, 29595060906949638427087208448000000, 0, "4c", [ [ 36, 1 ], [ 324, 1 ] ],
4845  1, "Sym(19) wreath Sym(2)", [ "A", 19, 2 ],
4846  [ (  1,178,116, 90,282,329,354,238, 39,184,192, 93,225,332, 31,243,286,179,
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4848          82,358,333, 50,241,191,188,211, 85, 35,338,297,236, 96,189,249, 79,
4849         320,328, 69,239,153,175,135, 95, 16,330,126,242,267,177,344, 86, 54,
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4852         237, 20,186,287, 84,111,341,259,231,305,176, 59, 87,168,327,145,247)
4853        (  3,311,119, 71,277,158,346,143, 57, 13,197,131,223,275, 25,357,295,
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4855         273,120,356,276, 44,355,200, 55,222,199, 36,224,294, 27,110,303,255,
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4857         45,127,204,283,215,351, 29, 53,298,198,112,227,256, 22,319,290, 65,
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4859         217,104, 37,262,288,312,100, 75,258,155,308,138, 76, 11,159,118,147,
4860         285)(  7,121,128,280,272,348,352, 48, 51,203,207,226,218, 28, 34,300,
4861         293,103,113,265,250,307,309, 62, 68,163,156,137,152, 19)
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4868      (  1,284,194, 73,  7,281,195, 69,  3,272,199, 65, 14,268,203, 76, 10,
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4884         233,126, 41,329,351,312,261,154,222,304,238,125, 55,324,360,308,263,
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4886        ( 96,113, 99,111,102,110,100,107, 98,101,104,103,109, 97,108,114,105,
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4888         152,143,144,150)(172,189,175,187,178,186,176,183,174,177,180,179,185,
4889         173,184,190,181,182,188) ] ],
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4891[6, Factorial(361),0,"2",[[360, 1]],361, "Sym(361)", ["A",361, 1], "Sym"],
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5161PRIMGRP[362]:=
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5235         214, 78,342,274,129,114, 34,170, 87, 41,184,175, 16,350, 50, 98,182,
5236          58, 29,281,141,221,213,144,210,160,197,314,344,135,149, 52,103,154,
5237          57, 71,224,254,  9, 46,358, 62,355,347, 65,287,177,148, 24,108,156,
5238         218,190, 31, 22,165,119, 36,172, 92, 77,294,226,128,354,  4,362,234,
5239         140,228, 10,255, 68,133,134, 85,217,192,311,137,335,230,186, 18,111,
5240         276,325,173,308,227,333, 23,306,162,252,120, 45, 42, 81,331, 38, 15,
5241         312,220,127,  2, 63, 67, 12, 30,241,229,205,232, 40,132, 97, 26,212,
5242         297, 13,245,225,169, 99,101,118,280,195, 35, 60,300,279,285,293, 80,
5243         352,150,117, 83, 47,174,142,200, 25,238,337,261,359, 21,329,122,151,
5244         328,361,136,236,296,102,145,258,349,211,264,131,253,152,345,  5,360,
5245         298,163,303, 49,244,124,  8,112,251,167,106,353,222,318,266,286, 27,
5246         155,178,290,326,203,305,267, 96,277,321,187,130,113,116,199,246,319,
5247         147,248,189,309,269,115,153,295,284,273, 53, 91,299,259, 17,320, 59,
5248         249,322,  7, 90, 93, 76, 19,247,291,110,301,263,  3,242,278, 28, 51,
5249         179,282,302,250,346,215,100, 39,317, 94,198, 82,324,157,265, 43,270,
5250         208,201,223, 54,315, 75,304,357,219,310, 61,104,272,332, 70,207,240,
5251          55, 84,239,185,209,307,231,330,181,  6, 64, 32,159,123, 89, 56,216,
5252         126,275,283,289,268,146,171, 11,288, 88,105,107, 37,343,323,193,271,
5253         356,180,109, 74,166,336) ] ],
5254[ 3, 47045520, 0, "2", [ [ 361, 1 ] ], 2, "PSigmaL(2, 19^2)",
5255  [ "L", [ 2, 361 ], 1 ],
5256  [ (  1, 58,213,281,318,315, 16, 37,280,195, 40,212,217,233,243,130,305, 38,
5257         172,226, 24,108,278,131,307,313,296,361,145, 90,231,257,119, 89,225,
5258          30,148,291,216,227,141, 52, 99, 87, 19, 27, 62,340, 55, 23,294,355,
5259         162, 86,259,157, 36,275,299,184, 47,301,268,286,206,113,  4,125,249,
5260         240, 94,241,230,261,341,133,260, 46, 50, 26,263,360,137,244,118,219,
5261          77, 63,328, 41,289,194, 14,110,331, 67,279, 34, 43, 98,189,354, 20,
5262         252, 95,308,321,186, 96,205,316,349, 32,298, 65,228,192,356,290, 59,
5263         100,345,144, 10, 97, 84,156,342, 42,170,193, 92,211,150,116,220,199,
5264         135,120,362,126, 61,176,153,229, 33,251, 73,215,271,224,152, 79,317,
5265         297,123,204,309, 18,293,132,276,310,353, 80, 72, 74,  5,190,238,236,
5266         173,198,180, 35,234, 22,324, 13,326, 54)(  2,343, 85, 51,352,109,  8,
5267         31,159,221, 45,117,104,191, 57,218,101,142,273,207,  9,335,136,265,
5268         169,214,247,358,105, 15,242,255,106,311,181,209, 12,103,158,167,284,
5269         134,232, 91,187,  7,274,160,235,138,124,344, 83,319, 64,203,300,175,
5270         151,155,303, 68,222,302,333,322,107,323,314, 76,197, 88,357,277,295,
5271         262,154, 17,264,288,165, 44,304,115, 39,208,269,178,146,223,139,174,
5272         182,114,102,149, 60,336,347,272, 53,171,338,112, 82,306,332,111, 56,
5273         202,267,250,256, 70,285, 93,177,337, 29,163,258, 71,320,330,346,351,
5274         161,  6,283,164,185,248,245,282,350,143,200,147,237,188,239,179,329,
5275         166, 21,  3, 28,327,325, 11,196,127,129,121,210,253,287, 69,270,183,
5276         254,359, 78,266,246,122, 49,339,292,348,128,312,168,334, 48, 25,140,
5277          75,201, 81, 66), (  1,243,199,253,282, 50, 70,296,358, 55,290,217,
5278         293,249, 59,164, 46,344,195,100)(  2, 28,265,330,280,283,213,193,123,
5279         126, 76,141, 16, 42, 18, 66, 19, 25,340, 26)(  3,188,125, 64,324,286,
5280         316,335,206,176,168,312,268,284, 37, 95,112, 99,314,277)
5281        (  4, 67,317, 93,261,246,159,127,305, 49,229, 54,301, 60, 97,140, 96,
5282         134, 27,154)(  5, 30, 14, 39,133,269, 29,198,345, 10, 88,245,161,318,
5283         34, 61,208, 15,137,273)(  6, 20, 24, 38,292,244,186,285,349, 83,332,
5284         192,214, 74,323, 57,121,220,162,114)(  7,122,138, 94,238,230,200, 71,
5285         90,120, 82,342,281,218, 41,129, 92,307,294,311)(  8,175, 75,251,109,
5286         165, 13,111,322,278,234, 73,225,362,117,190,341,197, 80,187)
5287        (  9,275,287,319,327,236,288,248,103,205,201,303,158,118,170, 79, 87,
5288         119,131, 35)( 11,304,102, 33, 72,320,182, 78,274,194,254,183,223,152,
5289         212,132,328,224, 86,334)( 12,221,308,350,361, 23,146,260, 21, 45, 56,
5290         98,185, 32,264, 77, 58,348,329,142)( 17,272,310,266,309,346,105,352,
5291         177,357,101,279,247,160,145,313, 89,339, 40,252)( 22,343,227,210,166,
5292         325,298,150,147,204,203,202,259,256,108, 81,240,196,179, 63)
5293        ( 31,241,297,155,331,231, 36,219,326,209, 65,216,289, 44,181,333,172,
5294         128, 84,295)( 43,306,211, 62,360,242,347,157,113,189,116,351, 48,110,
5295         336,356,124,153,207,163)( 47,233, 69,337,173,359,315,130,180,178, 52,
5296         143, 68,338,263,354,228,226,276, 91)( 51,267,139,355,250,291,235,191,
5297         106,167,149,302,104,257,239,300,215,171,115,156)( 53,353,222,136, 85,
5298         174,271,299,255,262,237,169,144,151,107,135,232,321,270,184)
5299        (148,258) ] ],
5300[ 4, 47045520, 0, "2", [ [ 361, 1 ] ], 3, "PSL(2, 19^2).2_3",
5301  [ "L", [ 2, 361 ], 1 ],
5302  [ (  1, 57,100,314,328,343,245, 96,310,142, 71,300,282,164,185,286,256,248,
5303         327,116,230, 41, 79, 74,202, 72,267,122,184,197, 50,352,149,257,190,
5304         166, 75,119,322,181)(  2,253, 47,262,173,297,339,240,103,178,148,200,
5305         37, 30, 13,143,311, 53,295, 25,146,187,133, 64, 16, 14,134,141, 17,
5306          48,  4, 63,217,208,201, 15,137,299,113,232)(  3, 90,179, 68,108,252,
5307         290,241,237, 40,130,283,199,101,216,131, 45,347,182,298,353,211, 18,
5308         115, 26, 39,219,227,329, 59, 69,274,161, 44, 33,302,268,303, 10,357)
5309        (  5,359, 61,167,118,270,191,350,168,336,138,223,189,228, 88, 99,342,
5310          43,263,340,277,358, 67, 73,276, 70,251,292,309,193,128, 38,355,269,
5311         195,288, 65,196,341,278)(  6, 84,180,177,337,129,308,318,361,192, 36,
5312         306,239,163,139,254,324,233, 52,281,360,123,305,287, 55,247, 94, 24,
5313         266, 92,362,104, 23,156,354,205,121,218,221,326)(  7, 27,120,231,312,
5314         279,334,258,272,349,215,206,250,320,259,194,280, 21,213,335,135, 66,
5315         304,186, 87,294,102,307,  9,356,136, 46, 86, 58,325,126,125,265, 97,
5316         225)(  8,229, 54,110,169,271,198,260, 93, 82,331, 60, 31,155,346,209,
5317         255,210,160,106,315,238, 28, 91, 78,285, 76,111,109, 35, 34,301,264,
5318         214,226,165,348, 19,212, 49)( 11, 32,273, 89,114,145,151,171,204, 85,
5319         175,317,332,157,144, 22,291,203, 29,261,158,236,127, 83,150,235,246,
5320         249, 56,170, 95, 62,207,323,152, 12, 98,344,188,321)( 20,345,275,153,
5321         222,234, 42,316,333,224,147,243,140,112,244,319,117,220,351, 80, 81,
5322          77,183,154,293,172,124,107,132, 51,159,284,330,289,105,176,296,162,
5323         313,242)(174,338), (  1,150,307,130,349,343,287, 76,184,135,243, 32,
5324         338,332,189, 12,169,318, 17, 86,316, 27,160,222,188,206,288,192,138,
5325         181,127, 31,113,131, 97,159,292,  3,233,302)(  2,277,147,298,100,165,
5326         237,303,250, 62,361,152, 26,117,115,319, 43, 30,289,276,362,204,202,
5327         293,167,320,257, 69, 16, 82,154,219, 21,172, 42,317, 40, 15,304,279)
5328        (  4, 67,215,327,  7, 56,114,171,290,224,179,330,244,337,210,213, 68,
5329         305, 14,251,106,109,344, 75,351,140, 95, 29,148,205,263,312,354,104,
5330         252,315,143,321,360,176)(  5, 89,230,314,334, 71,311, 87,212, 91,259,
5331         170,294,118,269,128, 93,119, 49, 59,126,153,166,193,260,270,200,226,
5332         191, 50,201, 25,149, 60,228,107,232,  8,248,347)(  6,313,329, 83,272,
5333         53,151, 22,280, 46,326,268,249, 45,217,141,310, 99, 92,286,133,186,
5334          33,227,220,  9,178,102,274, 70, 51,355,273, 39,297,168,266, 47,236,
5335         352)( 10,125, 78, 85,198,281, 63,254,108,242,278,155,209,110,164, 41,
5336         77,211, 65,256, 38,121,234,241,194,309, 98, 57, 74,112,356,145,195,
5337         124,174,325,207,245,262,221)( 11,199,239, 28, 13,261,342,264, 61,238,
5338         105,216,136,132, 35,284,187,183,103,214, 81,258, 55,339, 58,306,291,
5339          80,120,308,282,123,253,323,225, 94,358, 66,196, 37)( 18,163, 19, 48,
5340         162,157,271,300,156,301, 90, 23,275,203,101,255,267,158,345,122,144,
5341         295, 36, 73, 79,240,246,283, 24,175,197,336,161, 52, 64,218,116, 44,
5342         296,229)( 20,265,235, 72,146,190,142,353,341, 96,324,182, 88,350,359,
5343         180,111, 34,285,208,139,322,331,231,137,357,223,340,328,177,129,173,
5344         247, 84, 54,299,333,134,185,348)(335,346) ] ],
5345[ 5, 94091040, 0, "2", [ [ 361, 1 ] ], 3, "PGammaL(2, 19^2)",
5346  [ "L", [ 2, 361 ], 1 ],
5347  [ (  1,144,265, 39,198,174,339,305,325,226,344,350,218,  6, 61,274,163, 96,
5348           4,314,211, 56,323, 65,108,168,322,267,349,  2,250,331,  3,196,128,
5349         103, 76, 20,115,202)(  5, 60,222, 86,307,206, 27,  8,201, 52, 70,113,
5350         42, 93,193,136,172, 26,197,268,324, 19,123,205,312,104,306, 64, 88,
5351          99,271,361, 82, 13, 87,269, 16,338,352, 48)(  7, 63, 14,133, 73,179,
5352         241,355, 22,328,294,275,272,213,223,309,134,317, 30,208,183,160, 37,
5353          72,165, 69,357, 57,333,171,220, 79, 49, 54,186, 47,112,244,203,280)
5354        (  9,221,281, 32, 62,215,230,359,289,353,296,180,100,341,191,106,117,
5355         131,254,110, 83,261,332,233,308,102,138,276,266,358,120, 81,273,298,
5356         169,313, 80,287, 31,216)( 10,295,156, 97,319,217,303,243, 24,255,209,
5357         327,141, 34,111,290, 25,304, 55,204, 21,239,181,199,121, 98,145,284,
5358          12, 35,154,277,225,167,347,210,142,190, 45,251)( 11, 94,118,279,212,
5359         362,130,346,150,147,166,293,119,258,187,161,146,318,178, 78,252,149,
5360         109,291, 44,158, 84,182,177,122,229,282, 67,248,148,278,329,192,285,
5361         162)( 15,334, 46,301,354, 36,237,135, 50,238, 41,247,235,351,127,207,
5362         232, 29,151,297, 33,315,228, 77,189,360,139,129,245,264, 89,159, 43,
5363         101,263,283,286,200,320,107)( 17,348, 40,356,260, 90,214, 28, 58,337,
5364         164,310,114,124, 75,170,270,240,152, 23, 71, 59,176,256, 68,249,262,
5365         224,253,132, 66,246,311,234,257,231,288,143,345, 95)( 18,105,336, 38,
5366         155,302,236,188, 74,227,126,175,219,300,259, 53,194,316, 51,343,125,
5367         195,157,342,116, 92,184,299,137,140,153,242,173, 85, 91,321,185,340,
5368         292,326)(330,335), (  1,276,  2,  7, 61,315,214,109,182,250,264,300,
5369         236,294,190,137,271,247,361,270,267,199,310, 81, 72,245, 89, 43,160,
5370         150, 39,  4,224,191, 21, 87,207,248,198,302,161, 14,172,327, 91,131,
5371         308,312,284, 53,249,119,295,256, 63,143,159, 42,201,345,351, 23,168,
5372         321,104,138,144,288, 85,330,346, 64,233,194,  8,240, 74,205,177,181,
5373         358, 36,162,317,113,328,187,291,241,282, 40,106,298,265,123, 88,339,
5374         329, 84, 38,244, 55, 46,179,290,222,219,128,242,218,352,299,195,253,
5375         189,225,239,307, 18,275,174, 66,120,125,213,126,158,356, 31,296, 26,
5376         289,216, 45, 24,357,306,344,229,  3,320, 90,154,230,  6,343,127,170,
5377         107,231,115,309, 28,323,122,332, 70,117, 80, 25,197,262,336,223, 83,
5378         359,238, 50, 98,279, 95,148,217,134,114,338,209,167,188,342,246,324,
5379          92,354,156,303,208,203,221,278,155,340, 73,152,118,110, 33, 48,196,
5380         304,139,178, 56,142,313,116, 34, 41,349,192,212,136,234,261,263,108,
5381          59,141, 15,252,287,100,175, 30,318,184,285,316, 69,206, 52,232,220,
5382         360, 65, 49, 22,325, 60,111,254,326, 76,215,274, 51,163,235, 16, 67,
5383         164,105, 78, 62,129,269,257, 75,283, 58,173,204,305,171, 97,314, 27,
5384         202,237,112,348, 68, 19,226,228,255,353,277,297,140, 86, 93, 11,176,
5385         347, 71,311,350,185,293, 79, 94, 17,  9,337, 54,149,334,211,268,286,
5386         281,186,333,135, 35,165,243,147,301,322,280,151, 13,355,272,341, 32,
5387         210, 29, 77,251,130, 44,266,153,227,292,102, 47, 10, 57,157,  5,166,
5388          99,180, 12,258, 20,319,362,146,121,259,335, 37,169,124,260,145,183,
5389         132,103, 82,273,200,101,193, 96,133,331) ] ],
5390[6, Factorial(362)/2,1,"2",[[361,1]],360, "Alt(362)", ["A",362, 1], "Alt"],
5391[7, Factorial(362),0,"2",[[361, 1]],362, "Sym(362)", ["A",362, 1], "Sym"]];
5392PRIMGRP[363]:=
5393[[1, Factorial(363)/2,1,"2",[[362,1]],361, "Alt(363)", ["A",363, 1], "Alt"],
5394[2, Factorial(363),0,"2",[[362, 1]],363, "Sym(363)", ["A",363, 1], "Sym"]];
5395PRIMGRP[364]:=
5396[[ 1, 4585351680, 1, "2", [ [ 243, 1 ], [ 120, 1 ] ], 1, "PSp(6, 3)",
5397  [ "C", [ 3, 3 ], 1 ],
5398  [ (  7,188)(  8,311)(  9,358)( 11,353)( 12,100)( 13, 21)( 14,104)( 15,272)
5399        ( 16,174)( 17,300)( 19,302)( 20,235)( 22,132)( 23,263)( 24,203)
5400        ( 25,344)( 26,173)( 27,255)( 28,339)( 29,195)( 30,244)( 31,193)
5401        ( 32,357)( 33,303)( 34,258)( 35, 56)( 36,123)( 38,333)( 39,150)
5402        ( 40,341)( 41,322)( 42,190)( 44,329)( 45,148)( 46,305)( 47,261)
5403        ( 48,262)( 49,170)( 50,285)( 51,157)( 52,266)( 53,168)( 54,121)
5404        ( 55,138)( 57,337)( 58,144)( 59, 65)( 60,342)( 61,228)( 62,233)
5405        ( 63,240)( 64, 98)( 66,141)( 67,277)( 68,321)( 69,197)( 70,296)
5406        ( 71,325)( 72,270)( 73,218)( 74,172)( 75,345)( 76,364)( 77,247)
5407        ( 78,212)( 79,152)( 82,113)( 83,147)( 84,217)( 85,119)( 86,103)
5408        ( 87,346)( 88, 92)( 89,354)( 91,165)( 93,265)( 94,158)( 95,273)
5409        ( 96,180)( 97,227)( 99,177)(101,236)(102,245)(105,281)(106,306)
5410        (109,309)(110,133)(114,336)(115,242)(116,291)(117,146)(118,295)
5411        (120,160)(122,241)(125,130)(126,140)(127,229)(128,331)(131,149)
5412        (136,155)(137,269)(139,186)(142,292)(143,275)(145,268)(151,169)
5413        (156,256)(159,347)(161,167)(162,237)(163,318)(166,280)(171,350)
5414        (175,199)(176,294)(178,184)(179,239)(181,201)(182,310)(183,189)
5415        (185,205)(187,221)(192,288)(194,206)(196,232)(198,207)(200,231)
5416        (202,213)(204,238)(208,290)(209,243)(210,260)(211,282)(214,264)
5417        (215,323)(216,313)(219,312)(220,324)(222,249)(226,253)(230,293)
5418        (234,314)(248,283)(254,279)(257,361)(259,278)(267,335)(271,340)
5419        (274,330)(276,338)(284,349)(286,327)(289,299)(297,363)(298,334)
5420        (304,362)(315,351)(317,360)(320,356)(326,343),
5421      (  1, 17,143,138,267, 69, 72,197,272,278, 82,253,  6,  3,  2)
5422        (  4,  5, 19,223,222)(  7,289,303, 39, 53, 68,101,269,183,349,171,188,
5423         189,182, 50)(  8,310,314,100,216, 59,274,287,227,174, 74,324, 67,350,
5424         170)(  9,275,342,245, 44,276,246,331,265, 61,347,113,130, 48,306)
5425        ( 10,177,163, 37,120,234,355,137,221,293,346,273,220,268,353)
5426        ( 11,316,256,134,202)( 12,363, 87,231, 70,299,191,277, 46,112,239, 99,
5427         111,213,326)( 13, 83,357,215, 71)( 14,255,136, 38,203,152,107, 47,
5428         122,257, 26,145,281,290,126)( 15,325,335,356, 58, 73,327,129,271,364,
5429         81,266,201, 36, 51)( 16, 43, 65,248,282)( 18,218,318,184,233, 27, 55,
5430         150,291, 86,187,154, 94,260,251)( 20,166,180,270, 62,280,258,146,309,
5431         108, 24,133,307,261,322)( 21,117, 41,323,304,232,132,135,205,292, 42,
5432         124,103, 35,344)( 22,175,321,259,161, 96,288,179,181,224,301,198, 89,
5433         332,296)( 23,317,359,142,153)( 25, 63,200,195,127)( 28,109,308,264,
5434         110,351,337,167,240,140,176,119,343,219,345)( 29,169,199,148,116)
5435        ( 30,283, 77,330,361,186, 84,165,158,336, 80,263,229, 33, 34)
5436        ( 31,294,340, 92,312)( 32, 90,147,212,247)( 40,206, 54,217,141)
5437        ( 45,131,159, 60,193)( 49, 56,328,279,285)( 52,156,286,157,320)
5438        ( 57,121,297,243, 85,105,115, 95,194,155,226,302,250,249,300)
5439        ( 64,228,334,102, 98)( 75, 97, 78,211,237,235,236,118,360,352,114,354,
5440         204,341,139)( 76,208,149,173,254)( 79,358,225,125,214)
5441        ( 88,164,196,311,284)( 91,338,207,190, 93)(104,362,295,151,230)
5442        (106,315,252,333,262)(123,178,192,144,348)(128,238,329,185,210)
5443        (160,305,242,168,209)(162,319,244)(172,298,313,339,241) ] ],
5444[ 2, 9170703360, 0, "2", [ [ 243, 1 ], [ 120, 1 ] ], 1, "PSp(6, 3):2",
5445  [ "C", [ 3, 3 ], 1 ],
5446  [ (  1,281,320,129)(  2,197,101,218)(  3,309, 84,199)(  4,140, 26,215)
5447        (  5,200,249,318)(  6,145,182, 90)(  7,111, 54, 48)(  8,183,165,181)
5448        (  9,185,209,105)( 10,118,317, 33)( 11, 92, 12, 22)( 13, 94, 73,238)
5449        ( 14,310,266,153)( 15,349, 31, 49)( 16,335,257, 41)( 17, 38,134,344)
5450        ( 18,103,228, 37)( 19,348, 82,137)( 20,156,311,294)( 21,147, 99,282)
5451        ( 23,250, 74,117)( 24,127,204,192)( 25,324,216,254)( 27,359,269,173)
5452        ( 28,166,235, 34)( 29, 89,322,353)( 30,279,132,104)( 32,295, 69, 52)
5453        ( 35,334,225,126)( 36,246, 57, 86)( 39, 43, 79,272)( 40, 77,283,331)
5454        ( 42,243,263,109)( 44,292, 67,319)( 45,150,210,176)( 46,222,211, 71)
5455        ( 47,207,180,160)( 50,260,261,112)( 51,122,232,152)( 53,340, 63,244)
5456        ( 55,195,341,355)( 56,155, 72,271)( 58, 61,342,239)( 59, 96, 85,286)
5457        ( 60,236,158,253)( 62,201,233,364)( 64,345,159,303)( 65,247,343,357)
5458        ( 66,291,289,217)( 68,154,315,255)( 70,157,213,277)( 75,328,285,313)
5459        ( 76,242,262,268)( 78,248,171,306)( 80,299,280,339)( 81,106,107,275)
5460        ( 83,297,149,119)( 87, 91,276,143)( 88,314,170,125)( 93,237,337,168)
5461        ( 95,136,214,133)( 97,161,138,115)( 98,356,113,190)(100,230,146,273)
5462        (102,327,172,350)(108,203,221,223)(110,189,163,120)(114,219,224,325)
5463        (116,326,196,231)(121,336,124,194)(123,131,139,287)(128,164,240,167)
5464        (130,363,169,288)(135,264,141,316)(142,354,278,346)(144,329,308,332)
5465        (148,179,321,206)(151,351,258,265)(162,352,184,360)(174,208,298,361)
5466        (175,256,251,226)(177,302,267,312)(178,301,187,284)(186,191,220,259)
5467        (188,245,358,323)(193,274,347,333)(198,305,300,293)(202,212,290,307)
5468        (205,330,241,296)(227,252,270,229)(234,362,338,304),
5469      (  1,  4)(  2,  8)(  3,  9)(  5, 18)(  6, 16)( 10, 32)( 11, 36)( 12, 40)
5470        ( 14, 31)( 15, 49)( 19, 61)( 20, 64)( 21, 52)( 22, 70)( 23, 73)
5471        ( 24, 77)( 25, 56)( 26, 57)( 27, 85)( 28, 33)( 29, 78)( 34,103)
5472        ( 35,104)( 37,110)( 38, 88)( 39,102)( 41,117)( 42,119)( 43, 92)
5473        ( 44,124)( 45,125)( 46,130)( 47, 96)( 50,123)( 51, 59)( 53,126)
5474        ( 54, 71)( 55,148)( 58,155)( 60, 65)( 62,113)( 63, 72)( 66,164)
5475        ( 67, 87)( 68,157)( 69,163)( 74,175)( 75,147)( 76,139)( 79,173)
5476        ( 81, 99)( 82,188)( 83,192)( 86,181)( 89,109)( 90,208)( 91,116)
5477        ( 93,107)( 94,213)( 95,217)( 98,223)(100,141)(101,108)(105,228)
5478        (106,187)(112,156)(114,233)(115,240)(118,206)(120,244)(121,246)
5479        (122,249)(127,204)(129,172)(131,142)(132,258)(133,219)(134,264)
5480        (135,268)(137,201)(138,273)(140,205)(143,158)(144,282)(145,284)
5481        (146,220)(149,287)(151,253)(152,186)(153,290)(159,272)(160,166)
5482        (161,257)(162,280)(167,279)(168,274)(169,300)(170,250)(171,238)
5483        (174,309)(176,285)(177,200)(178,269)(179,312)(180,313)(183,211)
5484        (185,242)(190,292)(191,317)(193,229)(194,245)(195,295)(198,276)
5485        (199,225)(202,278)(203,224)(207,226)(209,230)(210,304)(212,332)
5486        (214,252)(216,334)(218,255)(221,265)(227,234)(232,261)(235,302)
5487        (236,330)(237,316)(241,294)(243,283)(247,336)(248,307)(251,345)
5488        (256,259)(262,275)(263,349)(266,301)(267,321)(270,339)(271,329)
5489        (277,298)(286,355)(289,315)(291,344)(293,320)(297,361)(299,306)
5490        (305,353)(310,331)(311,322)(314,354)(323,326)(325,340)(327,358)
5491        (328,337)(335,347)(338,342)(352,364)(360,363) ] ],
5492[ 3, 4585351680, 1, "2", [ [ 243, 1 ], [ 120, 1 ] ], 1, "O(7, 3)",
5493  [ "B", [ 3, 3 ], 1 ],
5494  [ (  3,  7,  8)(  9, 13, 17)( 10, 14, 18)( 11, 15, 19)( 12, 16, 20)
5495        ( 21, 61, 89)( 22, 62, 90)( 23, 63, 28)( 24, 27, 66)( 25, 64, 91)
5496        ( 26, 65, 92)( 29, 67, 34)( 30, 33, 70)( 31, 68, 93)( 32, 69, 94)
5497        ( 35, 71, 95)( 36, 72, 96)( 37, 42, 74)( 38, 41, 73)( 39, 44, 76)
5498        ( 40, 43, 75)( 45, 77, 97)( 46, 78, 98)( 47, 52, 82)( 48, 79, 51)
5499        ( 49, 80, 99)( 50, 81,100)( 53, 58, 86)( 54, 83, 57)( 55, 84,101)
5500        ( 56, 85,102)( 59, 87,103)( 60, 88,104)(105,193,130)(106,129,202)
5501        (108,194,128)(109,127,201)(111,134,204)(112,133,203)(113,195,132)
5502        (114,196,131)(117,197,229)(118,198,230)(119,138,206)(120,199,137)
5503        (122,136,205)(123,200,135)(139,158,214)(140,157,213)(141,207,156)
5504        (142,208,155)(143,162,216)(144,209,161)(145,160,215)(146,210,159)
5505        (147,211,231)(148,212,232)(163,178,220)(164,177,219)(165,176,218)
5506        (166,175,217)(167,182,224)(168,181,223)(169,180,222)(170,179,221)
5507        (183,192,228)(184,225,191)(185,190,227)(186,226,189)(233,285,313)
5508        (234,286,314)(235,287,315)(236,288,316)(239,289,317)(240,290,318)
5509        (243,291,319)(244,292,320)(245,293,321)(246,294,322)(247,295,323)
5510        (248,296,324)(249,297,325)(250,298,326)(259,299,327)(260,300,328)
5511        (261,301,329)(262,302,330)(263,303,331)(264,304,332)(265,305,333)
5512        (266,306,334)(267,307,335)(268,308,336)(273,309,337)(274,310,338)
5513        (275,311,339)(276,312,340)(341,349,361)(342,357,350)(343,358,351)
5514        (344,352,362)(345,359,353)(346,360,354)(347,355,363)(348,356,364),
5515      (  1,  2,  3,  4,  5,  6)(  7,  9, 11,  8, 10, 12)( 13, 21, 29, 37, 45,
5516          53)( 14, 22, 30, 38, 46, 54)( 15, 23, 31, 39, 47, 55)
5517        ( 16, 24, 32, 40, 48, 56)( 17, 25, 33, 41, 49, 57)( 18, 26, 34, 42,
5518          50, 58)( 19, 27, 35, 43, 51, 59)( 20, 28, 36, 44, 52, 60)
5519        ( 61,105,139,163,183, 84)( 62,106,140,164,184, 85)( 63,107, 83,125,
5520         153,173)( 64,108,141,165,185,101)( 65,109,142,166,186,102)
5521        ( 66,110, 86,126,154,174)( 67, 79,121,151,171,187)( 68,111,143,167,
5522          78,120)( 69,112,144,168, 77,119)( 70, 82,124,152,172,188)
5523        ( 71,113,145,169, 98,136)( 72,114,146,170, 97,135)( 73,115,147, 74,
5524         116,148)( 75,117,149, 76,118,150)( 80,122, 94,132,160,180)
5525        ( 81,123, 93,131,159,179)( 87, 89,127,155,175,189)( 88, 90,128,156,
5526         176,190)( 91,129,157,177,191,103)( 92,130,158,178,192,104)
5527        ( 95,133,161,181,100,138)( 96,134,162,182, 99,137)(193,215,227,257,
5528         279,283)(194,210,225,255,277,281)(195,233,261,218,248,270)
5529        (196,234,262,217,247,269)(197,235,231)(198,236,212)(199,237,205,241,
5530         200,238)(201,209,226,256,278,282)(202,216,228,258,280,284)
5531        (203,239,263,220,250,272)(204,240,264,219,249,271)(206,242)
5532        (207,243,265,221,251,273)(208,244,266,222,252,274)(211,229,259)
5533        (213,245,267,223,253,275)(214,246,268,224,254,276)(230,260,232)
5534        (285,341,335,295,287,340)(286,342,306,296,316,309)(288,311,290,344,
5535         308,298)(289,343,333,297,315,338)(291,301,345,322,332,356)
5536        (292,331,355,321,302,346)(293,330,354,320,303,347)(294,304,348,319,
5537         329,353)(299,310,317,351,305,325)(300,337,314,350,334,324)
5538        (307,323,327,312,313,349)(318,352,336,326,328,339)(357,358,361)
5539        (359,363,364) ] ],
5540[ 4, 9170703360, 0, "2", [ [ 243, 1 ], [ 120, 1 ] ], 1, "PSO(7, 3)",
5541  [ "B", [ 3, 3 ], 1 ],
5542  [ (  3,  7,  8)(  9, 13, 17, 10, 14, 18)( 11, 15, 19)( 12, 16, 20)
5543        ( 21, 61, 89, 26, 65, 92)( 22, 62, 90, 25, 64, 91)( 23, 63, 28, 27,
5544          66, 24)( 29, 33, 70)( 30, 67, 34)( 31, 68, 93, 32, 69, 94)
5545        ( 35, 71, 95, 36, 72, 96)( 37, 42, 74, 38, 41, 73)( 39, 44, 76)
5546        ( 40, 43, 75)( 45, 77, 97, 50, 81,100)( 46, 78, 98, 49, 80, 99)
5547        ( 47, 48, 79, 51, 52, 82)( 53, 83, 57)( 54, 58, 86)( 55, 84,101, 56,
5548          85,102)( 59, 87,103, 60, 88,104)(105,108,194,130,128,201)
5549        (106,193,127,129,202,109)(107,110)(111,114,196,132,133,203)
5550        (112,113,195,131,134,204)(115,116)(117,197,229,118,198,230)
5551        (119,199,136,138,206,122)(120,123,200,137,135,205)(121,124)(125,126)
5552        (139,207,156,140,208,155)(141,157,213,142,158,214)(143,209,161,145,
5553         210,159)(144,160,215,146,162,216)(147,211,231)(148,212,232)(149,150)
5554        (153,154)(163,177,219,166,176,218)(164,178,220,165,175,217)
5555        (167,182,224,168,181,223)(169,180,222,170,179,221)(171,172)
5556        (183,225,190,192,228,185)(184,186,226,191,189,227)(187,188)
5557        (233,285,313,239,289,317)(234,286,314,240,290,318)(235,287,315,259,
5558         299,327)(236,288,316,260,300,328)(237,241)(238,242)(243,291,319,245,
5559         293,321)(244,292,320,246,294,322)(247,295,323,249,297,325)
5560        (248,296,324,250,298,326)(251,254)(252,253)(255,257)(256,258)
5561        (261,301,329,262,302,330)(263,303,331,264,304,332)(265,305,333,268,
5562         308,336)(266,306,334,267,307,335)(269,270)(271,272)(273,309,337,275,
5563         311,339)(274,310,338,276,312,340)(277,278)(279,280)(281,284)(282,283)
5564        (341,342,357,352,351,362)(343,344,358,350,349,361)(345,348,360,355,
5565         354,364)(346,347,359,356,353,363),
5566      (  1,  2,  3,  4,  5,  6)(  7,  9, 11,  8, 10, 12)( 13, 21, 29, 37, 45,
5567          53)( 14, 22, 30, 38, 46, 54)( 15, 23, 31, 39, 47, 55)
5568        ( 16, 24, 32, 40, 48, 56)( 17, 25, 33, 41, 49, 57)( 18, 26, 34, 42,
5569          50, 58)( 19, 27, 35, 43, 51, 59)( 20, 28, 36, 44, 52, 60)
5570        ( 61,105,139,163,183,102)( 62,106,140,164,184,101)( 63,107, 86,126,
5571         154,174)( 64,108,141,165,185, 85)( 65,109,142,166,186, 84)
5572        ( 66,110, 83,125,153,173)( 67, 82,124,152,172,188)( 68,111,143,167,
5573          80,122)( 69,112,144,168, 81,123)( 70, 79,121,151,171,187)
5574        ( 71,113,145,169, 98,136)( 72,114,146,170, 97,135)( 73,115,147, 74,
5575         116,148)( 75,117,149, 76,118,150)( 77,119, 93,131,159,179)
5576        ( 78,120, 94,132,160,180)( 87, 89,127,155,175,189)( 88, 90,128,156,
5577         176,190)( 91,129,157,177,191,103)( 92,130,158,178,192,104)
5578        ( 95,133,161,181,100,138)( 96,134,162,182, 99,137)(193,215,225,255,
5579         277,281)(194,210,228,258,280,284)(195,233,261,218,248,270)
5580        (196,234,262,217,247,269)(197,235,211)(198,236,232)(199,237)
5581        (200,238,206,242,205,241)(201,216,226,256,278,282)(202,209,227,257,
5582         279,283)(203,239,263,220,250,272)(204,240,264,219,249,271)
5583        (207,243,265,222,252,274)(208,244,266,221,251,273)(212,229,259)
5584        (213,245,267,223,253,275)(214,246,268,224,254,276)(230,260,231)
5585        (285,341,336,295,300,339)(286,342,307,296,315,312)(287,311,314,350,
5586         308,324)(288,338,318,352,334,326)(289,343,306,297,299,310)
5587        (290,344,333,298,316,337)(291,302,346,319,331,355)(292,332,356,320,
5588         301,345)(293,304,348,321,329,353)(294,330,354,322,303,347)
5589        (305,325,327,309,317,351)(313,349,335,323,328,340)(357,362,361)
5590        (359,364,360) ] ],
5591[ 5, 4245696, 1, "2", [ [ 12, 1 ], [ 243, 1 ], [ 108, 1 ] ], 1, "G(2, 3)",
5592  [ "G", 3, 1 ],
5593  [ (  1,180, 88,238,304, 70, 38,137,279,282,157, 23)(  2,102,363, 80, 58,303,
5594         54,341,212,  5,332,274)(  3,338,321, 90,243,191,305,193, 77,310, 44,
5595          27)(  4, 33,172, 64)(  6, 34,214,245,194,362,111,225,132,155,356,190
5596         )(  7,355,240,350, 18,276,256,187,  8,177, 73,242)(  9,286,226,222,
5597         272, 78,323,357,136,133,162,327)( 10,335,156, 65, 85, 45, 97,197,219,
5598         298, 57, 96)( 11,140,300,231,116, 25,343,346,255,333,208, 63)
5599        ( 12, 35,166,319,211,199, 69, 62,246,354,163, 93)( 13,296,349,213, 53,
5600         68,168,233,308,290,104,108)( 14,241,302, 74,328,145,129,331,253, 86,
5601         322,192)( 15,257,127,313,119,223, 56, 76, 98,198,326,289)
5602        ( 16,150,200,247,173,183,361,278, 17,216,317, 82)( 19,264,260,306,195,
5603         126)( 20,117,347,174,269,204,259,344,271,284,267, 22)
5604        ( 21, 61,360, 40,348,244,125,220,207,227, 26,249)( 24,134,210,329,215,
5605         67,218, 29,186,121,175,230)( 28,295,353,206)( 30,224,110,342,184, 36,
5606         217, 83,301,112,124, 32)( 31,188,113,143)( 37,250,142, 91,330,292,
5607         122,185,314,165, 52,228)( 39,158,159,160,320,315)( 41,148,100,196,
5608         248, 60, 99,299,324, 59, 51,258)( 42,270,291, 66)( 43,120,144,275,
5609         263,288, 94, 46,147,202,209, 48)( 47,309,266,176,294,285,325,139, 49,
5610         103, 50, 95)( 55, 92)( 71,287,359,340)( 72,239,138,178,131,352,252,
5611         261,345,254,364,339)( 75,141,169,235,179,229,154,167, 81,268,283,153)
5612        ( 79,164,170,358)( 84,101)( 87,189, 89,293)(105,106,312,265,123,114,
5613         277,201,130,151,297,128)(107,203,221,181,232,171,237,273,311,205,351,
5614         115)(109,161,146,236,318,182,307,337,251,149,336,135)(118,262,152,281
5615         )(234,316)(280,334),
5616      (  1,251,115, 45, 60,268,263, 36,120,151,240,282,225)(  2,  9,176,200,
5617         347,221,106,169,157,345, 34, 69,253)(  3,250,133,214,280,137,343,124,
5618         92,364,211, 97,359)(  4,234,188,138,344,186,348,132,218,204,321,247,
5619         110)(  5, 57,217,170,252, 23,313,216, 33,242, 90,113,125)
5620        (  6, 75,291,310,284,193,354,286,123, 25,246,159,325)(  7,224,330, 70,
5621         68,289, 47,100,317,131,338,146,303)(  8,190,189,342,266,239,117,112,
5622         135,244, 48,333,238)( 10, 64,147,296,156, 91,108,205,121,180, 21,107,
5623         299)( 11, 16, 52,126, 30,162, 49,312,145,114,274,332,336)
5624        ( 12, 58,290,215,329,199,222, 26,158,139,227,130,206)( 13, 71,182, 99,
5625         61,111,249, 79,101, 65,243,171,191)( 14,300,152,129,203,362,326,150,
5626         346, 19,168, 44, 18)( 15,181, 72, 67,177,235, 89,143,269,324,337,361,
5627         298)( 17,237, 73,308,319,161,202,154,301, 32,265, 39,219)
5628        ( 20,149,352,127,331, 76,102,257,315,232, 53,153, 55)( 22,278,185, 77,
5629         293,105,220,316, 96,322, 31,356,140)( 24,305,320, 74, 82, 66,213,358,
5630         275,295,174,198,201)( 27,304,119,141,187,328,223,255, 63,357,323,192,
5631         212)( 28, 98,262,109,229,104,245, 35,260, 43, 29,279, 59)
5632        ( 37,209,118,248,277,256, 56,160,288,363,276,270,103)( 38,335,318, 42,
5633         148,273,267,122, 54,166,136,297,264)( 40, 87,271,309,194, 80, 81,184,
5634         360, 85,231, 78, 46)( 41,311,163,230,164,226,116, 84,349,272,254,355,
5635         93)( 50,236,287,142,341,241,306,353,134,196,294,314,307)
5636        ( 51,334,261,175,258,128,208,228,302,292,195,350,207)( 62,285, 95,340,
5637         351,179, 88,259,339,283,281,155, 94)( 83,183,173,178, 86,210,144,167,
5638         172,197,233,165,327) ] ],
5639[ 6, 43589145600, 1, "2", [ [ 33, 1 ], [ 165, 2 ] ], 1, "Alt(14)",
5640  [ "A", 14, 1 ],
5641  [ (  1,  2,  3,  5,  9, 15, 25, 39, 59, 85,119,161)(  4,  7, 13, 21, 35, 53,
5642         79,111,153,203,264,274)(  6, 11, 19, 31, 49, 73,105,145,195,254,162,
5643         214)(  8, 14, 23, 36, 55, 80,113,154,205,265,325,213)
5644        ( 10, 17, 29, 45, 69, 99,139,187,246,164,217,277)( 12, 20, 33, 50, 75,
5645         106,147,196,256,315,215,275)( 16, 27, 43, 65, 95,133,181,238, 86,121,
5646         165,218)( 18, 30, 47, 70,101,140,189,247,307,120,163,216)
5647        ( 22, 37, 57, 83,117,159,211,272,333,355,278,336)( 24, 38, 58, 84,118,
5648         160,212,273,334,364,324,335)( 26, 41, 63, 91,129,175,232, 88,124,169,
5649         223,283)( 28, 44, 67, 96,135,182,240,299,122,166,220,279)
5650        ( 32, 51, 77,109,151,201,262,322,255,316,219,280)( 34, 52, 78,110,152,
5651         202,263,323,359,326,360,276)( 40, 61, 89,125,171,226)
5652        ( 42, 64, 93,130,177,233,293, 60, 87,123,167,222)( 46, 71,103,143,193,
5653         252,313,257,317,356,284,339)( 48, 72,104,144,194,253,314,354,204,266,
5654         327,337)( 54, 81,115,157,209,270,331,347,170,225,286,340)
5655        ( 56, 82,116,158,210,271,332,363,306,221,281,338)( 62, 90,127,172,228,
5656         287)( 66, 97,137,185,244,304,146,197,258,318,227,288)
5657        ( 68, 98,138,186,245,305,350,206,267,328,361,282)( 74,107,149,199,260,
5658         320,239,300,126,173,230,290)( 76,108,150,200,261,321,358,308,351,168,
5659         224,285)( 92,131,179,236,297,148,198,259,319,357,294,344)
5660        ( 94,132,180,237,298,346,112,155,207,268,329,341)(100,141,191,250,311,
5661         241,301,348,178,235,296,345)(102,142,192,251,312,353,188,248,309,229,
5662         289,342)(114,156,208,269,330,362,292,128,174,231,291,343)
5663        (134,183,242,302)(136,184,243,303,349,190,249,310,352,176,234,295),
5664      (  2,  4,  8)(  3,  6, 12)(  5, 10, 18)(  7, 14, 24)(  9, 16, 28)
5665        ( 11, 20, 34)( 13, 22, 23)( 15, 26, 42)( 17, 30, 48)( 19, 32, 33)
5666        ( 21, 36, 56)( 25, 40, 62)( 27, 44, 68)( 29, 46, 47)( 31, 50, 76)
5667        ( 35, 54, 55)( 39, 60, 88)( 41, 64, 94)( 43, 66, 67)( 45, 70,102)
5668        ( 49, 74, 75)( 53, 80,114)( 59, 86,122)( 61, 90,128)( 63, 92, 93)
5669        ( 65, 96,136)( 69,100,101)( 73,106,148)( 79,112,113)( 85,120,164)
5670        ( 87,124,170)( 89,126,127)( 91,130,178)( 95,134,135)( 99,140,190)
5671        (105,146,147)(111,154,206)(119,162,215)(121,166,221)(123,168,169)
5672        (125,172,229)(129,176,177)(133,182,241)(139,188,189)(145,196,257)
5673        (153,204,205)(161,213,274)(163,217,278)(165,219,220)(167,223,284)
5674        (171,227,228)(175,233,294)(181,239,240)(187,247,308)(195,255,256)
5675        (203,265,326)(214,275,335)(216,276,277)(218,279,337)(222,282,283)
5676        (226,287,341)(232,292,293)(238,299,347)(246,306,307)(254,315,355)
5677        (264,324,325) ] ],
5678[ 7, 87178291200, 0, "2", [ [ 33, 1 ], [ 165, 2 ] ], 1, "Sym(14)",
5679  [ "A", 14, 1 ],
5680  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50)(  4,  6,  8, 11,
5681         14, 18, 22, 27, 32, 38, 44, 52, 59, 68)(  9, 12, 15, 19, 23, 28, 33,
5682          39, 45, 53, 61, 70, 79, 91)( 16, 20, 24, 29, 34, 40, 46, 54, 62, 72,
5683         81, 93,106,121)( 25, 30, 35, 41, 47, 55, 63, 73, 83, 95,108,124,141,
5684         161)( 36, 42, 48, 56, 64, 74, 84, 97,110,126,144,164,182,201)
5685        ( 49, 57, 65, 75, 85, 98,112,128,146,167,185,205,226,247)
5686        ( 51, 58, 67, 77, 88,101,116,133,152,171,190,211,233,151)
5687        ( 60, 69, 78, 89,102,117,134,153,172,191,212,234,255,276)
5688        ( 66, 76, 86, 99,113,130,148,169,188,208,230,251,272,293)
5689        ( 71, 80, 92,104,118,135,154,173,192,213,235,256,277,299)
5690        ( 82, 94,107,122,139,155,174,193,214,236,257,278,300,319)
5691        ( 87,100,114,131,138,158,178,198,220,243,265,287,309,329)
5692        ( 90,103,119,136,156,175,195,216,239,260,282,115,132,150)
5693        ( 96,109,125,142,162,179,194,215,237,258,279,301,320,338)
5694        (105,120,137,157,176,196,217,240,261,283,304,324,298,317)
5695        (111,127,145,165,183,202,223,238,259,280,302,321,339,289)
5696        (123,140,159,177,197,218,241,262,284,305,325,342,318,336)
5697        (129,147,168,186,206,227,248,268,281,303,322,340,352,222)
5698        (143,163,180,199,219,242,263,285,306,326,343,355,337,351)
5699        (149,170,189,209,231,252,273,294,313,323,341,353,360,160)
5700        (166,184,203,224,244,264,286,307,327,344,356,312,331,347)
5701        (181,200,221,210,232,253,274,295,314,332,346,354,361,364)
5702        (187,207,228,249,269,290,308,328,345,357,362,246,267,288)
5703        (204,225,245,266,254,275,296,315,333,348,335,350,359,363)
5704        (229,250,270,291,310,297,316,334,349,358,271,292,311,330),
5705      (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 43, 51)( 52, 60)
5706        ( 57, 66)( 58, 68)( 61, 71)( 69, 79)( 72, 82)( 76, 87)( 77, 89)
5707        ( 78, 90)( 80, 93)( 83, 96)( 92,105)( 94,108)( 97,111)(100,115)
5708        (102,118)(107,123)(109,126)(112,129)(119,137)(120,138)(125,143)
5709        (127,146)(130,149)(132,151)(135,155)(140,160)(145,166)(147,169)
5710        (157,177)(163,181)(168,187)(170,178)(174,194)(184,204)(189,210)
5711        (197,219)(200,222)(207,229)(215,238)(225,246)(232,254)(242,264)
5712        (250,271)(259,281)(267,289)(275,297)(276,298)(286,308)(292,312)
5713        (299,318)(303,323)(316,335)(319,337)(324,341)(328,346)(331,338)
5714        (342,354)(350,355) ] ],
5715[ 8, 21032402889738240, 1, "2", [ [ 363, 1 ] ], 2, "PSL(6, 3)",
5716  [ "L", [ 6, 3 ], 1 ],
5717  [ (  1,249,222)(  7,349,247)(  9,315, 17)( 12,323,230)( 14,140, 54)
5718        ( 15,363,298)( 16,122,330)( 20,219,199)( 22,187,169)( 23, 47,213)
5719        ( 25,257,115)( 27, 96, 64)( 28, 85,295)( 29,145,146)( 30, 86,254)
5720        ( 31,233,186)( 32,322,237)( 33,290,172)( 35,299,127)( 36,286,163)
5721        ( 39, 71,341)( 40,325,150)( 41,357,162)( 42,128,354)( 45,273, 55)
5722        ( 46,281, 76)( 49,182,211)( 51,238, 57)( 53, 68, 60)( 56,229,289)
5723        ( 59,269,340)( 61,166, 63)( 62,193,139)( 65,271,137)( 66,267,278)
5724        ( 67, 70, 83)( 69,102,194)( 72,217,347)( 73,156, 99)( 74,208,303)
5725        ( 77,284,188)( 79,133,306)( 84,270,159)( 87,161,131)( 88,326,314)
5726        ( 89,331,190)( 92,234,343)( 93,275,184)( 95,148,138)( 97,160,232)
5727        ( 98,180,255)(100,293,215)(103,244,279)(104,121,126)(105,305,364)
5728        (106,110,152)(114,142,198)(117,268,195)(118,119,339)(120,227,196)
5729        (123,318,327)(132,151,221)(141,259,335)(143,265,178)(147,296,277)
5730        (149,167,346)(157,337,204)(168,342,321)(170,282,310)(174,274,241)
5731        (175,312,235)(177,256,218)(181,348,201)(197,206,245)(202,261,263)
5732        (207,292,336)(210,260,246)(228,240,280)(242,361,344)(272,334,297)
5733        (300,351,358), (  1,  6,  5,  4,  3,  2)(  7,364, 86,209,208,  8)
5734        (  9,207,276,275, 11, 10)( 12,274,147,335,167, 13)( 14,166, 63, 95,
5735         240,325)( 15,324,323, 92,269,255)( 16,254,245,161,304,303)
5736        ( 17,302,301,300, 19, 18)( 20,299, 30,259,341, 21)( 22,340,176,175,
5737         171,170)( 23,169, 38, 37, 36, 24)( 25, 35,232,102, 61, 26)
5738        ( 27, 60,236,235, 32, 67)( 28, 66,288,287,286,114)( 29,113,112,111,
5739         110,260)( 31,298,149,139,193, 68)( 33,234, 83, 84,233, 34)
5740        ( 39,168,334,280, 87,363)( 40,362,361, 56,277,206)( 41,205,204,122,
5741         179,178)( 42,177,339, 72, 44, 43)( 45, 71,186,126,150,297)
5742        ( 46,296,291,290,311,310)( 47,309,308,307,306, 48)( 49,305,160,243,
5743         242, 50)( 51,241, 94, 93,322, 52)( 53,321,140,148,273,346)
5744        ( 54,345,344,237, 59,217)( 55,216,215,330, 97,278)( 57,360,359,358,
5745         218, 58)( 62,101,100, 88,279, 96)( 64,165,164,163,256,268)
5746        ( 65,267,228,313,312,289)( 69,192,191,190,292,295)( 70,294,293,189,
5747         188,187)( 73,338,337,317,316,315)( 74,314,227,347,272, 75)
5748        ( 76,271,116,115,285,284)( 77,283,282,212,211, 78)( 79,210, 85, 82,
5749          81, 80)( 89, 99,117,270, 91, 90)( 98,329,328,327,156,118)
5750        (103,231,230,183,182,132)(104,131)(105,130,129,128,264,263)
5751        (106,262,261,109,108,107)(119,155,154,153,152,201)(120,200,199,350,
5752         349,221)(121,220,219,357,196,180)(123,203,202,151,125,124)
5753        (127,185,184,229,266,265)(133,181,195,136,135,134)(137,194,138,173,
5754         172,174)(141,320,319,318,336,146)(142,145,197,356,355,354)
5755        (143,353,352,351,198,144)(157,326,239,238,343,158)(159,342,258,257,
5756         162,244)(213,281,333,332,331,214)(222,348,226,225,224,223)
5757        (246,253,252,251,250,249)(247,248) ] ],
5758[ 9, 42064805779476480, 0, "2", [ [ 363, 1 ] ], 2, "PGL(6, 3)",
5759  [ "L", [ 6, 3 ], 1 ],
5760  [ (  7,188)(  9,358)( 12,100)( 14,297)( 15,121)( 16,314)( 17,300)( 20,235)
5761        ( 22, 46)( 23,263)( 25,344)( 27, 84)( 28,145)( 29, 85)( 30,232)
5762        ( 31,321)( 32,289)( 33,303)( 35,162)( 36,123)( 39,149)( 40,161)
5763        ( 41,127)( 42,190)( 45,280)( 47,261)( 49,170)( 51,157)( 53,139)
5764        ( 54,272)( 55,228)( 56,237)( 57,337)( 59, 67)( 60, 62)( 61,138)
5765        ( 63, 95)( 64,270)( 65,277)( 66, 69)( 68,193)( 70,340)( 71,346)
5766        ( 72, 98)( 73,207)( 74,172)( 76,187)( 77,247)( 79,152)( 83,269)
5767        ( 86,160)( 87,325)( 88,330)( 89,354)( 92,274)( 93,265)( 96,159)
5768        ( 97,254)( 99,292)(102,278)(103,120)(104,363)(105,151)(106,306)
5769        (110,133)(114,256)(115,242)(117,118)(119,195)(122,326)(126,298)
5770        (128,331)(131,150)(132,305)(137,147)(140,334)(141,197)(142,177)
5771        (143,275)(146,295)(148,166)(156,336)(163,318)(167,341)(168,186)
5772        (169,281)(174,234)(175,199)(178,184)(180,347)(181,210)(182,310)
5773        (194,267)(196,244)(198,218)(201,260)(202,213)(204,238)(206,335)
5774        (208,290)(211,282)(215,323)(217,255)(219,312)(221,364)(222,249)
5775        (227,279)(229,322)(230,293)(233,342)(240,273)(241,343)(245,259)
5776        (246,348)(257,361)(268,339)(271,296)(284,349)(286,327)(299,357)
5777        (315,351), (  1,246, 85, 69, 61, 63, 26, 25,162,205,204,326,227,180,
5778          15, 39,186,298,324,323,183,182, 78, 77, 76,296,206,161,104,220,219,
5779         350,349,248,247,364,130,129,128,142,144,143,127,232,278,288,287,286,
5780         256, 58, 57,241,137,267, 55, 71, 21, 20,357,244, 96,165,164,163, 24,
5781          23,309,308,307,306,210, 29,197, 40, 14,148,173,172,234,158,157,317,
5782         316,315,302,301,300,198, 28, 82, 81, 80, 79,181,226,225,224,223,222,
5783           6,  5,  4,  3,  2)(  7,221,103,159,233,126,131,363,149, 13, 12, 92,
5784         83, 27, 62, 68,236,235,171,170,212,211,305, 86,245,356,355,354,177,
5785         268,136,135,134,133, 48, 47,281,271,194,192,191,190, 99,338,337,122,
5786          97,243,242, 56,266,265, 41,196,200,199,299,185,184,322, 59,255,329,
5787         328,327,203,202,109,108,107,106,260,253,252,251,250,249,348,119, 72,
5788          54,166, 95,273,216,215, 88,239,238,360,359,358, 19, 18, 17,207,295,
5789          66,228,325,297, 75, 74,  8)(  9, 73,118,155,154,153,152,262,261,105,
5790         160,102,138,240, 87,304,303,314,279,231,230,274, 94, 93, 11, 10)
5791        ( 16,179,178,353,352,351,218,339, 98,121,150,362,361,237, 67,294,293,
5792         330,254,259,167, 53, 31, 34, 33,311,310, 22, 70, 84, 91, 90, 89,214,
5793         213,169,340,217,272,280,313,312, 32, 52, 51,343,269,176,175,289,277,
5794         335,320,319,318,156,117, 64, 60,321,334, 45,346,139,101,100,189,188,
5795         283,282, 46,333,332,331,292,146,113,112,111,110,201,195,270,342,140,
5796         345,344, 50, 49,132,125,124,123,336,276,275,229, 65,116,115, 35, 30,
5797         209,208)( 36,114,145,141,341,168,258,257,285,284,187, 38, 37)
5798        ( 42,264,263,151,120,347, 44, 43)(147,291,290,174) ] ],
5799[10, Factorial(364)/2,1,"2",[[363,1]],362, "Alt(364)", ["A",364, 1], "Alt"],
5800[11, Factorial(364),0,"2",[[363, 1]],364, "Sym(364)", ["A",364, 1], "Sym"]];
5801PRIMGRP[365]:=
5802[[1, Factorial(365)/2,1,"2",[[364,1]],363, "Alt(365)", ["A",365, 1], "Alt"],
5803[2, Factorial(365),0,"2",[[364, 1]],365, "Sym(365)", ["A",365, 1], "Sym"]];
5804PRIMGRP[366]:=
5805[[1, Factorial(366)/2,1,"2",[[365,1]],364, "Alt(366)", ["A",366, 1], "Alt"],
5806[2, Factorial(366),0,"2",[[365, 1]],366, "Sym(366)", ["A",366, 1], "Sym"]];
5807PRIMGRP[367]:=
5808[[1, Factorial(367)/2,1,"2",[[366,1]],365, "Alt(367)", ["A",367, 1], "Alt"],
5809[2, Factorial(367),0,"2",[[366, 1]],367, "Sym(367)", ["A",367, 1], "Sym"],
5810[ 3, 367, 3, "1", [ [ 1, 366 ] ], 1, "C(367)", [ "Z", 367, 1 ], [  ] ],
5811[ 4, 734, 2, "1", [ [ 2, 183 ] ], 1, "D(2*367)", [ "Z", 367, 1 ],
5812  [ [ [ Z(367)^183 ] ] ] ],
5813[ 5, 1101, 2, "1", [ [ 3, 122 ] ], 1, "367:3", [ "Z", 367, 1 ],
5814  [ [ [ Z(367)^122 ] ] ] ],
5815[ 6, 2202, 2, "1", [ [ 6, 61 ] ], 1, "367:6", [ "Z", 367, 1 ],
5816  [ [ [ Z(367)^61 ] ] ] ],
5817[ 7, 22387, 2, "1", [ [ 61, 6 ] ], 1, "367:61", [ "Z", 367, 1 ],
5818  [ [ [ Z(367)^6 ] ] ] ],
5819[ 8, 44774, 2, "1", [ [ 122, 3 ] ], 1, "367:122", [ "Z", 367, 1 ],
5820  [ [ [ Z(367)^3 ] ] ] ],
5821[ 9, 67161, 2, "1", [ [ 183, 2 ] ], 1, "367:183", [ "Z", 367, 1 ],
5822  [ [ [ Z(367)^2 ] ] ] ],
5823[ 10, 134322, 2, "1", [ [ 366, 1 ] ], 2, "AGL(1, 367)", [ "Z", 367, 1 ],
5824  [ [ [ Z(367) ] ] ] ]];
5825PRIMGRP[368]:=
5826[[ 1, 24715248, 1, "2", [ [ 367, 1 ] ], 2, "PSL(2, 367)",
5827  [ "L", [ 2, 367 ], 1 ], "psl" ],
5828[ 2, 49430496, 0, "2", [ [ 367, 1 ] ], 3, "PGL(2, 367)",
5829  [ "L", [ 2, 367 ], 1 ], "pgl" ],
5830[3, Factorial(368)/2,1,"2",[[367,1]],366, "Alt(368)", ["A",368, 1], "Alt"],
5831[4, Factorial(368),0,"2",[[367, 1]],368, "Sym(368)", ["A",368, 1], "Sym"]];
5832PRIMGRP[369]:=
5833[[ 1, 265680, 1, "2", [ [ 90, 2 ], [ 36, 1 ], [ 80, 1 ], [ 72, 1 ] ], 1,
5834  "PSL(2, 81)", [ "L", [ 2, 81 ], 1 ],
5835  [ (  1,270,240, 63,293,295,300,158,335,163,361,348,183,329, 99, 62,331,316,
5836         311, 82,131,171,289,214, 88, 60,251,145, 83, 27,182,128,104,224,292,
5837         369,352,170,367,249,246)(  2,173,359,268,167, 65,259,340,263,306,137,
5838         23,156,166,141,185,133,124,228,105, 53,324,229,256, 49,346,129,231,
5839         154,317, 70,349,139,187, 52,120,341,334,302,276,179)(  3,236,308, 90,
5840         112,330,262, 31,337,150, 77, 45,233, 11, 43, 79,230, 94,134,364,162,
5841          54,305,176,118,199,204,338, 97, 73, 30, 64,241,360, 28, 29,144,180,
5842          57, 41,194)(  4,219,113,284,216,210,333,117, 20,272, 55,368,148,152,
5843         221,227, 35,356,121,313, 10, 93,177,115,279,254,275,215,225, 33,196,
5844         153,234,169,326,159,147,351,223,347,266)(  5,217, 13,175,365, 48,345,
5845         160,209,  6,357,328,257,290, 75, 95,211,188,285,109, 86,318,322, 47,
5846          34,297,255,312, 61, 24, 32,122, 21, 18, 98,119,232, 59,168,355,342)
5847        (  7,319,242, 26,321,102,325,157,286,323,343, 16,181,143,277,155,269,
5848         178, 36,258,172,164,363,294, 19, 91, 96,282, 89,332, 40,127, 81, 12,
5849         288, 14,140,238, 74, 66,103)(  8,336,339,114,142,218,354,197,101,222,
5850         207,310,107,184,320,106, 72,100,247, 38,  9, 85,362,315,220,278, 51,
5851         299,206, 92, 17,261,239,151,200,314,298,309,244, 56,186)
5852        ( 15,248, 76,116,253,280, 22,130,192,191,205, 80,111,265, 68,274,237,
5853         283,123, 78,126,132, 58,264, 87,271,165, 67,252,250,161,125,296,226,
5854         193,366,135,202,110,235, 42)( 25,260,281,146,301,213,307,174,189, 69,
5855         273,350,195,198,267,287,208,138,201, 84, 37,203,243,291, 71, 44,303,
5856         358,149, 39,108,304, 50,190,353, 46,212,136,344,245,327),
5857      (  1,268,167, 67,166,263,237,124,228,182,343,332, 59,184,340,141,298,
5858         365,288,181)(  2, 26, 62,258,324,335,170,112, 51, 69,362,327,349,189,
5859         299,245,315, 94,292,289)(  3,175,309, 50, 55,132,352,163,293,165, 65,
5860         211, 60,123, 53,172,126,368,121, 57)(  4,325,122, 32,157,131,145, 97,
5861         240, 29,358, 18,341, 39,281, 80, 22,114,152,287)(  5,276,350,192,233,
5862         253,151,216, 23,345, 64,119,137,210, 72,235,150,366,136,256)
5863        (  6,257,275,186, 82,286, 61,254,290,277,348,222,279, 24, 21,149,334,
5864          71,346, 37)(  7,140,260,108, 88,188,261,317,204,243,125,110,100, 52,
5865         194, 41,120, 98,241,159)(  8,205,146,301,226,101,183, 76,246,143, 75,
5866         20,178,102,219,312,323,128, 15,311)(  9, 10,284,200, 47, 38, 74,224,
5867         134,310,138,158,229,344,206,153,199, 70, 25,238)( 11,103,147,353, 46,
5868         161,291,302,217,308, 56,215,250,212,135,354, 31, 19,249,116)
5869        ( 12, 48,156,252,225,262,197,193, 77, 81,127, 45,191,336, 79,177,274,
5870         306,232, 40)( 13,236)( 14,319, 87,359,270, 73, 35,356,148,142,223,
5871         169,326,360, 27,105, 78,164, 89, 16)( 17,285,106,333,196, 92, 96,174,
5872         139,180,313, 85,273,179,214,304,244, 90,367, 91)( 28, 63,361,155,328,
5873         357,269,272,190,351,218,202,296,213, 84,129,209,203,338, 83)
5874        ( 30,160,231,176,305,154,239,280,111,303,144,187,247, 34,300,201,307,
5875         282,363,227)( 33,117, 95,259,320,109, 99,321, 36,331,322,314,185,255,
5876         113, 93,230,220,278,330)( 42,104, 66, 43,339,130,195, 68,115,207,364,
5877         342, 49, 44,265,198,267,221,294,337)( 54,118,234,347,264,242,173,271,
5878         295,297,133,283,251,171,369, 58,266,208,107,168)( 86,318,316,248,329)
5879        (162,355) ] ],
5880[ 2, 531360, 0, "2", [ [ 90, 2 ], [ 36, 1 ], [ 80, 1 ], [ 72, 1 ] ], 1,
5881  "PSL(2, 81).2", [ "L", [ 2, 81 ], 1 ],
5882  [ (  1,299,300,353,134,304,286, 45)(  2,356,301, 17,133,236, 86, 35)
5883        (  3,289,141, 67,122,147,169,305)(  4,285,327,288,235, 32,180,349)
5884        (  5,262, 36, 34,257,270, 53,308)(  6, 39,277,229, 60,317, 27,189)
5885        (  7,311, 50,345, 98,112,119,337)(  8,352,322,252,114,102, 20,181)
5886        (  9,166, 33,111,168,203, 23,362)( 10,213, 94, 16, 87,232,282, 59)
5887        ( 11,172,250, 95,167, 81,224, 96)( 12,206,238, 30,178,124, 62, 15)
5888        ( 13, 42,204,136,176,254,315,234)( 14, 61,155,106,258, 97,293,199)
5889        ( 18,326, 55,225,247,220,179,343)( 19,145,129,259,158,116,233, 57)
5890        ( 21,320, 66,368,140,210,144,319)( 22,302,240, 72,294,208,246,126)
5891        ( 24,360,163,329, 76, 82,100, 26)( 25, 37,226,159,117,218,221,123)
5892        ( 28,347,313, 43, 91,193,192,344)( 29, 38,109,160,215,330,265, 47)
5893        ( 31,137,298,357,228,120,276,190)( 40,184,142, 63,170,271,323,279)
5894        ( 41,191,183,336,346,260, 89, 49)( 44,118,188,312,272,186,341,139)
5895        ( 46,321,104,266,364,157,239, 65)( 48,149,263,306,359,248,297,202)
5896        ( 51,227,291,130,358,331,110,278)( 52,151, 54,216,207,138,296, 68)
5897        ( 56,162,175,152,338,127,105,303)( 58, 73,182,284,205,280,237,367)
5898        ( 64,363,350,242,164,214,275,200)( 69, 70,135,198,125,197,173,132)
5899        ( 71,348,324,287, 80,340,261, 99)( 74,309,318,264,128,231,369,212)
5900        ( 75,245)( 77,153,333,314,342,209,334,244)( 78,268,148,243,328,335,
5901         230,295)( 79,131,269,332,143,316,355,165)( 83,156,281,187,354,339,
5902         241, 90)( 84,103, 93,325,121,253,201, 88)( 85,273,161,267,361,107,
5903         217,366)( 92,150,222,101,223,177,219,115)(108,174,274,283)(113,211)
5904        (146,292,310,154,194,255,307,249)(171,196,365,290,256,195,251,185),
5905      (  1,363,353, 49,152,190,123,278,337,270, 74,124,244,173,221,118, 83,
5906           6,122,301,198,235,211,174,138, 66,250,280,254,325,227,  9, 14,172,
5907         355,165, 76,240,239,224)(  2,277, 31,153, 38,  8,252,184,284, 12,162,
5908         112,145, 21,324,356, 32, 39,116,288,193, 96, 20, 58,108,204,303,220,
5909         298,107,110,297,222,150,307,194,159,251, 78,351)(  3,106, 82, 80,100,
5910         167,209, 68, 91,286,125,344, 67,213, 55,365,257, 81,319,214,119,245,
5911         339,117,313,330,341, 60,199, 72,357,137,364,191, 95, 63,183,292,237,
5912         348)(  4,302,321,188,210,295,263, 56, 94,259,349,102,316, 27,177, 64,
5913         127,161,275,168, 33, 98,151,217,134, 29,192,129, 46,268,249, 50,140,
5914         175, 19, 61,215, 17,322,238)(  5,164,311,247,260, 85, 52,312,181,154,
5915         200,121,230, 87,233,120,296, 45,269, 10,135,283,343,358,195,345,182,
5916         306,271,179,265,157, 86, 41, 79,225,223,228, 73,147)(  7, 34,148, 75,
5917         255,212,146, 37,128,258,189,317,329, 47, 42,361, 54,362,346,320,115,
5918          25, 71,266,103, 97,180,315,333,261,331,101,366,352,131, 30,290,326,
5919         243,328)( 11,170, 65, 77,272, 22,304, 18,293,105,305, 59,262,310, 40,
5920         219,207,367, 93,216, 99,136,203,130,360, 51,287, 62,149,160,178,126,
5921          70, 28,229,139,289, 53, 48,354)( 13,166,202,133,132, 92,218, 57,208,
5922         196,186,236,285,246,197,281, 89,141,256,248, 69,308,231,350,104,335,
5923         156, 44,314,176,291,232,318,113,279,143,206, 26, 16, 84)
5924        ( 15,111,155, 24,334,109,327, 43,347,294, 35,169,338,185,276, 90,323,
5925         205,267,264,342,274, 23,332,340,273,282,142,201,359,171,299, 88,163,
5926         368,241,336,369,226,144)( 36,309,253,187,300)(114,234,242,158) ] ],
5927[ 3, 1062720, 0, "2", [ [ 36, 1 ], [ 80, 1 ], [ 180, 1 ], [ 72, 1 ] ], 1,
5928  "PSigmaL(2, 81)", [ "L", [ 2, 81 ], 1 ],
5929  [ (  1,332, 64, 76,331,264,363,269,357,190,250,344)(  2,266, 84,149,115,281,
5930         195,169,335,113,349,196)(  3,126,325,119,226,140, 66,324, 90,311,300,
5931         222)(  4, 22,353,109,146,258, 32,174, 16,138, 62,175)
5932        (  5, 46, 81,191,221, 75,340,223,125,308,218,233)(  6,313,237, 17,212,
5933         336,241,152,236, 39,159,260)(  7,265,321,111)(  8, 28,242,286,261, 36
5934         )(  9,160, 33,182,347,214,297,211,161,172,134, 91)( 10,189,148, 99,
5935         317,262,116,227, 58, 41,185,283)( 11,178,183,162,202, 56,290,267,294,
5936         120,170, 82)( 12,348,207,171, 97,104,215,270,263, 93,145,368)
5937        ( 13,235, 92, 50, 30,245,327, 67,179,289, 63,128)( 14,291,343, 96,255,
5938         365,199, 78,364, 86,168,198)( 15,319,271,342,298,216)
5939        ( 18,334,329,121,246,143,122, 47,106, 51, 72,366)( 19,244,158,197,295,
5940         48,164,273,127,110,277,206)( 20,323,259, 24,133,280,112,362, 25,369,
5941          95,256)( 21, 71,217, 55,322,346)( 23,312,102, 59, 52,132,203,124,
5942         141,231,142,253)( 26, 77,225,282, 34,238)( 27,247, 31,130,180,337,
5943          88, 42, 74,301,157,101)( 29,360,129,117,352, 79,316,232,228,100,150,
5944         359)( 35,154,275,302,248,279,229,209, 87,108,333,194)
5945        ( 37,163,285,167,220,304,200, 43,114,339,252,318)( 38,306,257,208,328,
5946         151,107,118,274, 89,205,292)( 40,288, 53, 98,309,358,314,136, 49,234,
5947         155,367)( 44,193,305,276,213,351)( 45,165,173,144,320,123, 61,184,
5948          73,315,254,303)( 54,219,361,153,131, 60,188,239, 68,186,139, 83)
5949        ( 57,103,249,187,243,299,192, 70,330, 69,356,137)( 65,177,296,307,147,
5950         105)( 80,210,345,230,224, 85,240,181,176,251,156,341)( 94,278,338,354
5951         )(135,272,355,350,326,268,284,166,310,293,204,201),
5952      (  1,215,323, 35,110, 37,156,124)(  2,119,319,256,361,223, 13, 65)
5953        (  3, 56, 55,172,262,229,271,107)(  4, 92,206,265,185,314,146,140)
5954        (  5, 97,251, 88, 22,170,192,209)(  6,175,285, 24,145,349,275,360)
5955        (  7,166,328, 87, 89, 27, 98, 30)(  8, 39, 33,259,180,307,207,366)
5956        (  9,182,288, 46,221, 49,279,174)( 10,306,222,111,318,260,152, 28)
5957        ( 11, 44,118,155,343,211,299,334)( 12,348, 31,248,121,292,313,108)
5958        ( 14,128,367,325,276,353,246, 23)( 15,143, 83,358)( 16,213,228,250,
5959         355,350,151,220)( 17,205,297,242,357, 79,295,198)( 18,210,123,103,
5960         105,369, 53,178)( 19,212,356,273,188,277,186,240)( 20,364,234,352,
5961          40, 71,274,278)( 21, 90,280,243, 74,230,137,114)( 25,253,226,150,
5962          76,113,301, 67)( 26, 94,237,354,336,231, 68,365)( 29,339,168,133,
5963         100,201,287,320)( 32,267, 61,165,132,161, 51,196)( 34, 72,310,135,
5964         126,190,311,263)( 36, 80, 82,142,235,315,184,199)( 38,164,346,302,
5965         249,204,258,227)( 41,281,308,362,141,257,167, 84)( 42,203,157,338,
5966         312,322,224, 73)( 43,214,109,359,106,102,351,247)( 45,284,181,112,
5967         127, 99, 78,158)( 47,345,368,333,144,293,291,125)( 48,191, 54,337,
5968         264,194,160, 93)( 50,252,305, 60,218,233,326,255)( 52,232, 63,187,
5969          64,136,153,296)( 57,169,129,154,238, 85,149,298)( 58,139,331,163,
5970         324,347,216, 62)( 59,219,101,244,270,344,179,289)( 69, 77,272,300,
5971         241,335,122, 91)( 70,269,200,147,130,208,171, 95)( 75,317,134,195,
5972         294,173,261,340)( 81,189,282,159,239,329, 86,309)( 96,148,117,217,
5973         316,120,138,283)(104,115,202,225,268,254,286,363)(116,177,197,290)
5974        (131,266,342,332,176,330,304,303)(162,321,193,245,327,341,183,236) ]
5975 ],
5976[4, Factorial(369)/2,1,"2",[[368,1]],367, "Alt(369)", ["A",369, 1], "Alt"],
5977[5, Factorial(369),0,"2",[[368, 1]],369, "Sym(369)", ["A",369, 1], "Sym"]];
5978PRIMGRP[370]:=
5979[[1, Factorial(370)/2,1,"2",[[369,1]],368, "Alt(370)", ["A",370, 1], "Alt"],
5980[2, Factorial(370),0,"2",[[369, 1]],370, "Sym(370)", ["A",370, 1], "Sym"]];
5981PRIMGRP[371]:=
5982[[1, Factorial(371)/2,1,"2",[[370,1]],369, "Alt(371)", ["A",371, 1], "Alt"],
5983[2, Factorial(371),0,"2",[[370, 1]],371, "Sym(371)", ["A",371, 1], "Sym"]];
5984PRIMGRP[372]:=
5985[[1, Factorial(372)/2,1,"2",[[371,1]],370, "Alt(372)", ["A",372, 1], "Alt"],
5986[2, Factorial(372),0,"2",[[371, 1]],372, "Sym(372)", ["A",372, 1], "Sym"]];
5987PRIMGRP[373]:=
5988[[1, Factorial(373)/2,1,"2",[[372,1]],371, "Alt(373)", ["A",373, 1], "Alt"],
5989[2, Factorial(373),0,"2",[[372, 1]],373, "Sym(373)", ["A",373, 1], "Sym"],
5990[ 3, 373, 3, "1", [ [ 1, 372 ] ], 1, "C(373)", [ "Z", 373, 1 ], [  ] ],
5991[ 4, 746, 2, "1", [ [ 2, 186 ] ], 1, "D(2*373)", [ "Z", 373, 1 ],
5992  [ [ [ Z(373)^186 ] ] ] ],
5993[ 5, 1119, 2, "1", [ [ 3, 124 ] ], 1, "373:3", [ "Z", 373, 1 ],
5994  [ [ [ Z(373)^124 ] ] ] ],
5995[ 6, 1492, 2, "1", [ [ 4, 93 ] ], 1, "373:4", [ "Z", 373, 1 ],
5996  [ [ [ Z(373)^93 ] ] ] ],
5997[ 7, 2238, 2, "1", [ [ 6, 62 ] ], 1, "373:6", [ "Z", 373, 1 ],
5998  [ [ [ Z(373)^62 ] ] ] ],
5999[ 8, 4476, 2, "1", [ [ 12, 31 ] ], 1, "373:12", [ "Z", 373, 1 ],
6000  [ [ [ Z(373)^31 ] ] ] ],
6001[ 9, 11563, 2, "1", [ [ 31, 12 ] ], 1, "373:31", [ "Z", 373, 1 ],
6002  [ [ [ Z(373)^12 ] ] ] ],
6003[ 10, 23126, 2, "1", [ [ 62, 6 ] ], 1, "373:62", [ "Z", 373, 1 ],
6004  [ [ [ Z(373)^6 ] ] ] ],
6005[ 11, 34689, 2, "1", [ [ 93, 4 ] ], 1, "373:93", [ "Z", 373, 1 ],
6006  [ [ [ Z(373)^4 ] ] ] ],
6007[ 12, 46252, 2, "1", [ [ 124, 3 ] ], 1, "373:124", [ "Z", 373, 1 ],
6008  [ [ [ Z(373)^3 ] ] ] ],
6009[ 13, 69378, 2, "1", [ [ 186, 2 ] ], 1, "373:186", [ "Z", 373, 1 ],
6010  [ [ [ Z(373)^2 ] ] ] ],
6011[ 14, 138756, 2, "1", [ [ 372, 1 ] ], 2, "AGL(1, 373)", [ "Z", 373, 1 ],
6012  [ [ [ Z(373) ] ] ] ]];
6013PRIMGRP[374]:=
6014[[ 1, 25947372, 1, "2", [ [ 373, 1 ] ], 2, "PSL(2, 373)",
6015  [ "L", [ 2, 373 ], 1 ], "psl" ],
6016[ 2, 51894744, 0, "2", [ [ 373, 1 ] ], 3, "PGL(2, 373)",
6017  [ "L", [ 2, 373 ], 1 ], "pgl" ],
6018[3, Factorial(374)/2,1,"2",[[373,1]],372, "Alt(374)", ["A",374, 1], "Alt"],
6019[4, Factorial(374),0,"2",[[373, 1]],374, "Sym(374)", ["A",374, 1], "Sym"]];
6020PRIMGRP[375]:=
6021[[1, Factorial(375)/2,1,"2",[[374,1]],373, "Alt(375)", ["A",375, 1], "Alt"],
6022[2, Factorial(375),0,"2",[[374, 1]],375, "Sym(375)", ["A",375, 1], "Sym"]];
6023PRIMGRP[376]:=
6024[[1, Factorial(376)/2,1,"2",[[375,1]],374, "Alt(376)", ["A",376, 1], "Alt"],
6025[2, Factorial(376),0,"2",[[375, 1]],376, "Sym(376)", ["A",376, 1], "Sym"]];
6026PRIMGRP[377]:=
6027[[1, Factorial(377)/2,1,"2",[[376,1]],375, "Alt(377)", ["A",377, 1], "Alt"],
6028[2, Factorial(377),0,"2",[[376, 1]],377, "Sym(377)", ["A",377, 1], "Sym"]];
6029PRIMGRP[378]:=
6030[[ 1, 9828, 1, "2", [ [ 13, 13 ], [ 26, 8 ] ], 1, "PSL(2, 3^3)",
6031  [ "L", [ 2, 27 ], 1 ],
6032  [ (  1,300,258, 85,289,223, 29,339,211,287,236,319,134)(  2, 62,151,162,350,
6033         108,324,356,293,279,172,  4,119)(  3, 24,346, 77,318, 95,191,214,139,
6034         241,111,321,116)(  5,253,315,175, 41,303, 48,198, 57,124,323,217,311)
6035        (  6,325,132, 99,213,296,359, 91,336,144, 72,234, 66)(  7,145, 50, 94,
6036         148,304,152,278,328,351,129,225,185)(  8,150,222, 35,237,216, 56, 64,
6037         337,227,295,275,344)(  9, 45,347,215, 38,103, 19,167,266,125,138,128,
6038         235)( 10,375, 86,280,326,238,189,320,220,252,190, 22,188)
6039        ( 11,307,251, 12,329, 92,331,120,378,141, 20,194, 47)( 13,232, 21,169,
6040         82,372,192, 52,297,314, 26,286,353)( 14,341,135,355,348,206,200,184,
6041         231,121,283,158, 60)( 15, 68,284,285,288,242,146, 76,317,330,166,137,
6042         179)( 16, 36,334,199,301,370,245,335, 78,263,294,259,226)
6043        ( 17, 81,155, 43, 37,292,173,377,365,114, 39, 51,240)( 18,160,327,204,
6044         54,268,360,243,224,122,376,164,178)( 23,105,244,186,212,156,373,182,
6045         233,180, 96,261,312)( 25,249,322,230,269,282,127,143,133,115, 88,203,
6046         310)( 27,219,272,174, 30,369,208,298,110,290,149, 89,170)
6047        ( 28,262,165, 79,340, 33,106, 61,239,221,176,362,107)( 31,256, 34,308,
6048         374,257,358, 53, 42,163,202,291,302)( 32,210, 55,136, 65,313,113,154,
6049         338,254,118,367,332)( 40,255,368,157,267,147,228,102,299,209,371,333,
6050         197)( 44,343,183, 74,316, 87,123, 70,153,349,246, 93, 90)
6051        ( 46,309, 49,126,260,104, 59,281,177,117,207,161, 98)( 58,142,196, 69,
6052         305,265, 63,273,100,361,195, 67,306)( 71,130,264,171,345,363,366,112,
6053         357, 97,159,248,364)( 73,181,205, 84,131, 80,276,352,342,247,218, 83,
6054         168)( 75,187,101,109,277,140,354,270,193,229,250,201,271),
6055      (  1,205,116, 63,347,273,207)(  2,107,344,179,286,315,345)
6056        (  3,183,226,372,296, 45,255)(  4,200,240,332,266,217,214)
6057        (  5, 75,223, 81, 46,145,331)(  6, 80, 43,288,129,377,342)
6058        (  7, 66,155,365,325, 68,208)(  8,268, 39,360,362, 26,363)
6059        (  9,343,192,368,263, 64,294)( 10,153,136,209,340,336,105)
6060        ( 11, 15,364,114,289,150,253)( 12,323,335, 32, 77,238, 41)
6061        ( 13, 61,218,121,305,219,160)( 14, 34, 93,113, 91,356,371)
6062        ( 16,235,134,337,100,213,178)( 17,122,187,281,180,167,224)
6063        ( 18, 89,265,143, 84,128,373)( 19,172,177,311,233, 50,101)
6064        ( 20,227, 57,127,201,170, 99)( 21,132,351,271, 37,120,369)
6065        ( 22,124,319,303, 36,237,250)( 23,349, 33, 86,270,280,299)
6066        ( 24,322, 56, 44,157,259,249)( 25,104,267,241,252,350,195)
6067        ( 27, 35,283, 48,140,141, 72)( 28,115,262, 95,257,137,304)
6068        ( 29,328,279,169,109, 98,290)( 30,158,292,282,110,295,277)
6069        ( 31,301, 97,126,220,302,147)( 38,184,103,330, 94, 53,367)
6070        ( 40,162,359,111, 90,202,230)( 42,182,316,117,278,215,149)
6071        ( 47,173,222,242,234,212,298)( 49,348,370,320,310,159,108)
6072        ( 51, 88,119,254,175,176,318)( 52,216,164,346,361, 78,190)
6073        ( 54,245,366,329,338,261,203)( 55,135,375,102,246,193,341)
6074        ( 58,210,204,229,312,334,326)( 59,189,376,206,297,139,251)
6075        ( 60,258,293,151,339,269, 73)( 62,146, 85,174, 71,275,186)
6076        ( 65, 83,287,264,196, 79, 69)( 67,197,357,291,256,260,333)
6077        ( 70,211,244,313,130,308,168)( 74,181,163,161,321, 82,300)
6078        ( 76,171,123,353,374,272,165)( 87,138,317,133,231,152,239)
6079        ( 92,314,309,243,248, 96,307)(106,188,327,144,142,354,236)
6080        (112,355,306,324,199,154,228)(118,191,148,125,358,221,166)
6081        (131,198,247,194,232,156,378)(185,274,284,352,285,225,276) ] ],
6082[ 2, 19656, 0, "2", [ [ 52, 1 ], [ 26, 12 ], [ 13, 1 ] ], 1, "PGL(2, 3^3)",
6083  [ "L", [ 2, 27 ], 1 ],
6084  [ (  2,292)(  3,315)(  4,156)(  5, 69)(  6,253)(  7,238)(  8,273)(  9,117)
6085        ( 10, 32)( 11,103)( 12, 56)( 13, 82)( 14,200)( 15,106)( 16,118)
6086        ( 17, 77)( 18,221)( 19,368)( 20, 85)( 21,353)( 22,350)( 23,371)
6087        ( 24,141)( 25, 49)( 26,348)( 27, 47)( 28,375)( 29,291)( 30,182)
6088        ( 31, 37)( 33,214)( 34, 68)( 35,212)( 36,305)( 38,186)( 39,325)
6089        ( 40, 46)( 41,210)( 42,346)( 43, 67)( 44,328)( 45, 53)( 48,250)
6090        ( 50,294)( 51,199)( 52,192)( 54,356)( 55, 88)( 57, 87)( 58,154)
6091        ( 59,234)( 60,341)( 61,153)( 62,241)( 63,270)( 64,259)( 65,309)
6092        ( 66,227)( 70,264)( 71,302)( 72,236)( 73,127)( 74,296)( 75,157)
6093        ( 76,333)( 78,352)( 79,198)( 80,136)( 81,225)( 83,349)( 84,347)
6094        ( 89,161)( 90,334)( 91,137)( 92,269)( 93,257)( 94,338)( 95,276)
6095        ( 96,190)( 97,240)( 98,303)( 99,301)(100,163)(101,171)(102,365)
6096        (104,220)(105,193)(107,207)(109,208)(110,299)(112,143)(113,211)
6097        (114,177)(115,343)(116,235)(119,342)(120,152)(121,232)(122,126)
6098        (123,373)(124,263)(125,173)(128,246)(129,262)(130,189)(131,317)
6099        (132,204)(134,304)(135,286)(138,319)(139,260)(140,176)(142,329)
6100        (145,306)(146,344)(147,164)(148,308)(149,175)(150,159)(151,311)
6101        (155,243)(158,372)(160,261)(162,277)(165,202)(166,201)(167,174)
6102        (168,374)(170,183)(172,335)(178,284)(179,249)(180,226)(181,275)
6103        (184,297)(185,310)(187,256)(188,300)(191,237)(194,244)(195,255)
6104        (196,345)(197,370)(203,279)(205,258)(206,274)(209,358)(213,215)
6105        (218,233)(219,326)(222,280)(223,330)(224,307)(228,254)(229,268)
6106        (230,369)(231,355)(239,337)(242,332)(245,360)(247,267)(251,336)
6107        (252,377)(265,290)(266,320)(271,339)(272,313)(278,327)(281,285)
6108        (282,321)(283,314)(287,323)(288,366)(289,293)(295,367)(298,363)
6109        (312,362)(318,361)(322,376)(324,357)(354,378)(359,364),
6110      (  1,179,328,258,211,  6,  4,335,315,177, 77, 88,342, 82,151, 62,233,
6111          83, 60,113,159,303, 22,108,359,339)(  2,349,365, 70,162,180,294, 52,
6112         94,307,257,229, 33,362, 91,300, 66,  9, 19,275, 31,194,288,156,220,
6113         169)(  3,106,319,276, 86,261, 32,206, 64,284,124, 16,153,238,217,304,
6114         75,269,241,232,199, 73,289,103,254,323)(  5,371, 65,109,291, 71,205,
6115         230,150,158,290,203,354,200,131,104, 53,237, 95,228,198, 51,134,376,
6116          85,292)(  7,117, 97, 76,325,340,360,373,299,192,160,167,296)
6117        (  8, 74,324, 45,243, 93,282,272,135,251,378,351,164,352,263,102,345,
6118         332,219,239,320, 98,218,140,139,330)( 10,155,183,245, 42, 39, 38,142,
6119         61,173,202,188,343, 81,370,364, 23,178, 14,271, 84,337,115,224,353,
6120          59)( 11,207,318,149, 25,127,355,121,110,313,357, 47,146, 29, 37,256,
6121         161,277,265,195, 35,112,374,240,287,145)( 12,274,141,231,266,119,326,
6122         116,295, 69,361,214,175,317, 99,185, 41, 55, 63,306,250,118, 36,350,
6123          79,249)( 13,255,334, 78,136,128, 43,193,213,132,344, 17, 28,191,190,
6124         280,368,312,166,184,268, 50,242,327,322,129)( 15, 92,358,305, 67,302,
6125         120,278,234,187,123,182,363, 21,165,298,147,333, 89,125, 96, 46,372,
6126         246, 56,336)( 18,176,172, 44,270,225,210,222,247,366,259,215, 30,111,
6127         309,209,252,168,122,137,329, 20,143,174,348, 87)( 24,196,369,267, 48,
6128         163,253,197, 27, 58,338,148,133,221,297,346,201,260,331,130,227,154,
6129         212,347,341,285)( 26,375,262,273,208,170,100,138,301,244,356,314,248,
6130         40,321,126,152,144, 72, 68,264,367,157,281,186,279)( 34,226,377,216,
6131         235,236,204, 80,105, 90,283,310,316,286,181, 54,223,107,101,114,189,
6132         308,311,171, 49, 57) ] ],
6133[ 3, 29484, 0, "2", [ [ 78, 2 ], [ 13, 1 ], [ 26, 2 ], [ 39, 4 ] ], 1,
6134  "PSigmaL(2, 3^3)", [ "L", [ 2, 27 ], 1 ],
6135  [ (  1,182,330,264,120, 55,225, 86,169)(  2,194,339, 12,286, 40,105,263, 95)
6136        (  3,123, 13,148,274, 98,244, 74,179)(  4,193,154,283,192,186,282,332,
6137         197)(  5,230,219,132,168, 49, 72,301, 26)(  6,212,140, 66, 11,376,
6138         305, 20,314)(  7,331,183,103,172,136, 16,237,126)(  8,256, 65,226,
6139          76,360,297,215,373)(  9,300,111,173,118,214,374,209,278)
6140        ( 10, 81,144,170,246,370,259,241,273)( 14,171,156,293,175,145, 38, 91,
6141         364)( 15,115,164, 22,208,369,107,327,200)( 17,253,213, 63,235, 27,
6142          61,309,366)( 18, 58,323,101, 64,177,275,356,296)( 19,371, 37,288,
6143          21,191,269,139,222)( 23,345,142,250,343,189,368,348, 99)
6144        ( 24,150,223, 54,271,227,128,141,242)( 25,135,134, 88,218,361,205,206,
6145         39)( 28,279, 53, 62, 82, 43,322,251,340)( 29,162,121,187,261,272,155,
6146         298,190)( 30,198, 77, 52, 41,312,324,161,216)( 31,180,352, 94,204,
6147         185,294,337,231)( 32,233,378,319, 97, 92, 59,149,232)
6148        ( 33,310,243,311,178,321,159, 79,353)( 34,143,239,302, 68,112,163, 80,
6149         341)( 35, 96, 93,372,188,133,102, 75,184)( 36,362,295,290,158,195,
6150         127,351,334)( 42,224,266, 84,234,129,326,110,318)( 44,285, 71, 51,
6151         221,124,349,367, 48)( 45,114,153,160,138,281,355,196,203)
6152        ( 46,289,262,207,228,152, 87,157,202)( 47,181, 70,229, 83,357,119,333,
6153         116)( 50,100,146,131,151,338,299,354,313)( 56,236, 69,267,346,350,
6154         317,363,176)( 57,220,147,307,315,270,245,165,304)( 60,199,249,320,
6155         347,260, 73,217,125)( 67,335,344,109,247,258,252,308,377)
6156        ( 78,284,137,359,117,255,280,211,342)( 85,287,106,328,240,122,277,306,
6157         210)( 89,248, 90,336,316,365,104,130,113)(108,375,329,265,166,303,
6158         167,291,238)(174,257,201,325,358,254,268,276,292),
6159      (  1,239,335,179, 87,249,  9,232,  7)(  2, 84,360, 60,124, 31,102,221,
6160         132)(  3,316,368,153,313, 79,295,354,315)(  4, 18, 25,117,336,333,
6161          37,241,109)(  5, 98,140,142, 94,151,276,341, 21)(  6,320,126,256,
6162         285,350,376,348,312)(  8, 57, 22,255,157, 27,206,209,186)
6163        ( 10, 86,170,321,137, 96,166,292,208)( 11, 73, 20,322,273,234,107, 46,
6164         258)( 12,152,260, 50,154,224,296, 36,159)( 13,220, 34, 74,167, 75,
6165         131,242,367)( 14,226,215,282,377,311,181,304,277)( 15,345, 85,264,
6166         160,329,269,169,211)( 16, 51,136,106, 49,122,133,252,261)
6167        ( 17,275,369,210,373,118,185,172,212)( 19,349,123, 44,233,236,339, 83,
6168         300)( 23,202,229,237,308,278,343, 30,143)( 24,327,101,257,207,193,
6169         174,156,145)( 26, 66,199,243,328,372,346,187,219)( 28,119,301,245,
6170         147,190,225,127,306)( 29,129, 48, 97,104,125,146,223,100)
6171        ( 32,139, 65,334,290, 89, 78, 82,163)( 33,351, 81,361,141,370,120,231,
6172         364)( 35,293,182,302,248, 70,214,314,235)( 38,366,230,371,259,115,
6173         253,265,331)( 39,272,374,197,110,149,108,286,291)( 40, 93,267,155,
6174         271,138,356,297,250)( 41,332, 64,340,246,158,344,192,330)
6175        ( 42,116, 69,359,238,362,270,180,323)( 43,263,358,114,113,227,228,353,
6176         144)( 45, 91,347,375,204,307,283,254,196)( 47,303, 58, 76,279,309,
6177          88,201,281)( 52,173,191,218,111,244,165,338,183)( 53,150,305,178,
6178         284,205, 54,337,130)( 55,168,203, 77,128,357,325,198,342)
6179        ( 56, 80, 92,176,105, 72,299,103, 68)( 59, 90, 61,184,262,148,352,289,
6180         319)( 62,162,326,365,217,294,363,216,298)( 63,134,251,280,161,121,
6181         177,171,135)( 67, 99,324,112,222,310, 71,317,200)( 95,266,318,189,
6182         355,240,188,378,288)(164,213,175,268,194,247,274,287,195) ] ],
6183[ 4, 58968, 0, "2", [ [ 78, 4 ], [ 13, 1 ], [ 52, 1 ] ], 1, "PGammaL(2, 3^3)",
6184  [ "L", [ 2, 27 ], 1 ],
6185  [ (  1,155, 58,127,246,216,281, 91,218, 16,353, 89)(  2,292,154,140,369,323,
6186         158, 33,303,175,105,356)(  3,320,107,263, 70, 43,242, 99,233,277, 88,
6187         317)(  4,202, 13,352,237,114,318, 32,266,258, 25,328)
6188        (  5,313,278,143,344,298,275,225,330,119,238,329)(  6,286,245,212,161,
6189         36,299, 59,139,327,358,194)(  7,104,350,215,124, 56,230,247,250, 24,
6190          76,293)(  8,200,146,304,134,365,241,310, 61,205, 57,193)
6191        (  9,184,128, 37,332,333,129,151, 34,337, 85,133)( 10,264,137,220,110,
6192         109, 20, 63, 73,118,348,254)( 11,259,163,378,331,270,177, 40,147,366,
6193         312,307)( 12, 64, 55, 77, 26, 92,253,372,130, 46, 94,315)
6194        ( 14, 44, 67,334,207,174,346,284, 80,111,226,201)( 15,223,157,186, 78,
6195         19,261,189, 74,229, 29,243)( 17,274,108, 68,311,217,272,181, 48,149,
6196          41,321)( 18,235)( 21, 54,106,222,291,316,268,309,364,167,343,252)
6197        ( 22,100, 90,199,296, 86,182,376,145,232,295,345)( 23,341,153, 51,361,
6198         45, 83,113,370,148,289, 49)( 27,168,211,159,324,172,144, 84,191,176,
6199         173,203)( 28,339,102,164,116,227,187,196,257,373,269,120)
6200        ( 30,287,231,170,210, 66, 50,342, 87,240, 62,335)( 31,354,285,156,360,
6201         65,185, 72,135, 47, 69,340)( 35,273,314,322,214,197,234,294,251,103,
6202         125,280)( 38,302, 82,224,255,132, 79,221,160,306,283,267)
6203        ( 39,351,136,180,276,188,336,198,282,183, 97,338)( 42,138, 98,357,359,
6204         249,171,260,265, 96,219,208)( 52, 95,325,347,271,363,290,374,123,377,
6205         206,117)( 53,239,115,228,204,195)( 60,101,256,319,150,141,375,368,
6206         288,112,371,169)( 71,192,326,308,244,367,178,248,305, 93,126,362)
6207        ( 75, 81,279,165,297,162,213,179,236,355,131,300)(121,152,301,142,190,
6208         166)(122,209,262,349),
6209      (  1,165,189,311,359,230)(  2,305, 28,258, 88, 34)(  3,292, 19,156,188,
6210         375)(  4,240,204,368, 74,297)(  5,151,154,320,314,133)
6211        (  6,246,361, 42,278,212)(  7, 89,337,293,231,112)(  8,341,179,144,
6212         350,301)(  9,161,114,238,106,253)( 10,377,183, 95,223,122)
6213        ( 11,300,145, 61,197, 48)( 12, 45,355,190,220,318)( 13,185,173,249,
6214         148,251)( 14, 38,287,276, 75,263)( 15,131, 53,259, 56,182)
6215        ( 16,108,155,270,349,213)( 17,269,134,113, 76, 51)( 18,167,126, 47,
6216         326,176)( 20,378, 26,369,254,242)( 21,194,364,243,283,218)
6217        ( 22,146,147,210,201,328)( 23,171, 94, 29,275,308)( 24, 85,115, 33,
6218         266,225)( 25, 98,121,193,211,157)( 27,256,323)( 30,262,280,327,352,
6219         286)( 31,141,217,299, 58,127)( 32,271,294,234,241,105)
6220        ( 35,346,138,281,239,274)( 36,363)( 37,202,277,244, 43,268)
6221        ( 39,248,198,261, 99,310)( 40, 64,107,128,257,143)( 41,181,295,336,
6222         366,203)( 44,313,111,119,267,357)( 46,236,356,319,129,207)
6223        ( 49,312,187,290,102,232)( 50,221,333,224,365,174)( 52,371,344,340,
6224         125,324)( 54,289,172)( 55,250,370,205,139,184)( 57,136,322,196, 87,
6225         159)( 59,339,265,373,186,199)( 60,321,209, 84,288,164)
6226        ( 62,140,200, 92,124,329)( 63, 70,162,351,348, 73)( 65,103,153,296,
6227         168,284)( 66,227, 80,345,169,376)( 67, 71,360,332,353,343)
6228        ( 68,306,120,132, 97,109)( 69,118,214,302,228,264)( 72,317,175,180,
6229         191,255)( 77,219,372,362,235,304)( 78,222,104,335,237,117)
6230        ( 79,272, 82,279,291, 90)( 81, 83,130,354,137,316)( 86,282,192,160,
6231         163,338)( 91,229,245,233,215,110)( 93,135,206,226,177,149)
6232        ( 96,195,285)(100,342,325,166,367,347)(101,273,247,334,358,331)
6233        (116,170,303,252,307,142)(123,330,158)(152,260,309,298,374,208)
6234        (178,315) ] ],
6235[ 5, 4585351680, 1, "2", [ [ 117, 1 ], [ 260, 1 ] ], 1, "O(7, 3)",
6236  [ "B", [ 3, 3 ], 1 ],
6237  [ (  1,  2)(  3,  5)(  4,  7)(  6,  9)(  8, 12)( 10, 15)( 11, 17)( 13, 20)
6238        ( 14, 22)( 16, 25)( 21, 31)( 26, 37)( 27, 38)( 28, 40)( 29, 32)
6239        ( 33, 46)( 34, 48)( 36, 51)( 41, 57)( 42, 59)( 43, 61)( 45, 64)
6240        ( 47, 66)( 49, 69)( 50, 71)( 52, 74)( 53, 76)( 54, 78)( 55, 80)
6241        ( 58, 84)( 60, 86)( 62, 89)( 67, 95)( 68, 97)( 70,100)( 72, 90)
6242        ( 73,104)( 75, 91)( 77,108)( 79,110)( 81,113)( 82,115)( 85,119)
6243        ( 87,121)( 92,126)( 93,127)( 96,130)(101,136)(102,137)(103,139)
6244        (107,143)(111,148)(114,152)(116,155)(118,140)(123,161)(125,156)
6245        (128,167)(131,171)(132,173)(133,175)(135,176)(141,180)(147,187)
6246        (149,190)(150,192)(153,195)(157,198)(159,200)(162,204)(164,206)
6247        (165,208)(166,210)(168,213)(169,215)(172,218)(174,220)(177,201)
6248        (178,223)(179,225)(181,227)(183,230)(184,221)(186,233)(193,241)
6249        (199,242)(216,259)(222,260)(224,265)(235,271)(237,274)(238,269)
6250        (244,279)(248,281)(249,283)(250,270)(251,284)(252,282)(253,278)
6251        (255,288)(256,266)(262,293)(267,298)(272,303)(277,305)(280,309)
6252        (291,316)(292,311)(296,306)(300,323)(302,324)(307,317)(313,336)
6253        (315,338)(319,341)(321,343)(325,348)(326,350)(327,352)(330,354)
6254        (331,355)(333,349)(334,356)(337,358)(353,361)(362,371),
6255      (  1,  3,  6, 10, 16, 26,  5)(  2,  4,  8, 13, 21, 32, 45)
6256        (  7, 11, 18, 28, 41, 58, 85)(  9, 14, 23, 34, 49, 70,101)
6257        ( 12, 19, 29, 42, 60, 87, 59)( 15, 24, 35, 50, 72,103,140)
6258        ( 17, 27, 39, 55, 81,114,153)( 20, 30, 43, 62, 90,124,163)
6259        ( 22, 33, 47, 67, 96,131,172)( 25, 36, 52, 75, 69, 99,134)
6260        ( 31, 44, 63, 91,125,164,207)( 37, 53, 77, 71,102,138,171)
6261        ( 38, 54, 79,111,149,191,239)( 40, 56, 82,116,156,197,244)
6262        ( 46, 65, 93,128,168,214,257)( 48, 68, 98,133,137,178,224)
6263        ( 51, 73,105, 95,129,169,216)( 57, 83,117,121,159,201,247)
6264        ( 61, 88,122,160,202,206,250)( 64, 92,104,141,181,228,241)
6265        ( 66, 94, 84,118,157,199,246)( 74,106,142,182,229,139,179)
6266        ( 76,107,144,184,231,269,119)( 78,109,146,186,234,270,301)
6267        ( 80,112,150,193,200,143,183)( 86,120,158,180,226,266,195)
6268        ( 89,123,162,205,227,267,299)( 97,132,174,221,262,294,155)
6269        (100,135,177,222,263,295,320)(108,145,185,232,213,256,176)
6270        (110,147,188,236,273,173,219)(113,151,194,242,277,306,329)
6271        (115,154,196,243,278,307,330)(126,165,209,252,286,152,136)
6272        (127,166,211,254,287,204,249)(130,170,217,260,291,317,340)
6273        (148,189,237,275,305,328,336)(161,203,248,282,311,334,175)
6274        (167,212,255,289,316,210,253)(187,235,272,304,327,353,362)
6275        (190,238,225,208,251,285,314)(192,240,276,284,313,337,233)
6276        (198,245,280,309,332,259,218)(215,258,290,230,268,300,274)
6277        (220,261,292,318,338,355,364)(223,264,296,321,344,359,368)
6278        (265,297,322,345,350,323,346)(271,302,325,349,361,370,374)
6279        (279,308,331,288,315,339,298)(281,310,333,303,326,351,341)
6280        (283,312,335,357,366,354,363)(293,319,342,343,352,324,347)
6281        (348,360,369,373,376,377,378)(356,365,372,375,371,358,367) ] ],
6282[ 6, 9170703360, 0, "2", [ [ 117, 1 ], [ 260, 1 ] ], 1, "PSO(7, 3)",
6283  [ "B", [ 3, 3 ], 1 ],
6284  [ (  1,198,154,192, 99, 46, 47,160, 49,331, 28, 37, 88)(  2, 44,309,371,339,
6285         221,202,345,200, 50, 51,240,263)(  3,264,343, 54,325,166,341,162,205,
6286         7,251,105, 90)(  4,208, 16,173,164,109, 83,284, 21, 61, 60,346,353)
6287        (  5,149, 85,141,159, 87,194,301, 68,239,229,169,108)(  6,196, 40, 69,
6288         323,272,183, 93,181,361,177, 82,133)(  8, 17,250, 48,259,358,134,303,
6289         131,204,274,246,316)(  9,137, 57,220, 12,283,148,128,126,227,253,351,
6290         217)( 10, 58, 39, 20,144, 26,376, 95,214,318,279,179, 84)
6291        ( 11,292,152, 89,218,314,165,312,350,209,328, 79,330)( 13,254, 32,307,
6292         140,155,375,231, 29,317, 18, 30,262)( 14,258, 86,161,285,373,127, 81,
6293         377,242,116,211,203)( 15,117,327,313,182,186, 52,113,275,121,266,190,
6294         184)( 19,185,364,163,334,235,360,362,123,206,338,125,219)
6295        ( 22,367,230,174,282, 67, 65,374,228,236, 62,234,247)( 23,106,321,310,
6296         289,100,302, 31,171,297,107,273,269)( 24,207,336,188, 42,326,296,102,
6297         25,210,359,136,255)( 27,101,315, 66,222,124,224,372, 56,215,308,329,
6298         277)( 33, 98,111,333,248,365,226,352, 76,245,135,114,320)
6299        ( 34,281,354,180,280,191,129, 80,199,369,197,172, 41)( 35,286,132,216,
6300         36,267,357, 64,252,151,344,300, 77)( 38,150,356,278, 96, 74, 63,243,
6301         170,261,288,201, 75)( 43,335,115,156,176, 59,195,270,305,291,299, 94,
6302         103)( 45,319,119,370, 92, 73,189,368,175,139,322,304,293)
6303        ( 53,157, 71,232,241,153,347,238,143,178,298,332, 55)( 70,147,378,130,
6304         349,168,306,340, 78,104,287,337,256)( 72,138,271,213,142,112,363,225,
6305         244,212,110,295, 91)( 97,265,294,290,257,348,146,366,233,324,187,276,
6306         193)(118,249,342,237,145,268,158,355,260,223,122,311,120),
6307      (  1,234,372,310,264, 41,105,181,373,172, 76,139,283,241, 10,209,176,
6308         189,285, 92,101, 64,156,309,167,339)(  2,358,314,357, 52,246,186,114,
6309         349,259,207,280, 13)(  3, 71, 56, 90,227,131,143,226,320,331, 84,187,
6310         255,162,311,213, 45,374, 32,375,146, 80,344,178, 77,196)
6311        (  4,324, 27, 19,326,170,240,318,199,254, 62,150,243)(  5,290,260,201,
6312         40,228,198,271,  8,293,353,165,163,347, 99,147,188,291,115,183, 20,
6313         337,304,342, 59,221)(  6,377, 54,322,261, 82, 91,160,356,333,329,334,
6314         277,352,266,368,319,142,256,210,100,179,351,128,103,132)
6315        (  7,279,262,155, 70,164,350,124,371,111,138,121,242,325,237, 68, 50,
6316         137,317, 18,250, 28,212,270,136,328)(  9,204,247,168,294, 72,269,153,
6317         233,197,298, 31, 98)( 11,180,238,363,133,252, 53,258,272,366,220,215,
6318         96)( 12,140,109, 87,286,361,346,171, 78,236, 83, 37, 67)
6319        ( 14,222, 81, 35,341,149,203, 61,313, 74,378, 16,297, 65,263, 44,303,
6320         175, 86,193,112, 38,127,367, 66,174)( 15,119,274,130,182,301,257,191,
6321         195, 29,214, 42,321,232, 73,152,300,104,305, 25,239,332,113,345,292,
6322         287)( 17,289,336,106,211,177,268,154,376,253,126, 55,219)
6323        ( 21,151,158,245, 89,123,327, 60,125,129, 23, 30,278, 69, 39, 47,230,
6324         192,315, 43,306, 58,330,216,223,248)( 22,161,190,205, 46,184,120,370,
6325         217, 79,208,159,273,224,316,144,251,206,134,276,166,231,364,102,365,
6326          95)( 24,296,107,200,307,281,249,288, 93,229,244, 49,340,122, 36,323,
6327         265,225,359, 33,282,369,148,360,194,108)( 26,308,299, 57,169,118, 88,
6328         295,335,355,218,354,157)( 34,145,267,338,185,141,362, 48,110,117,173,
6329         302, 97)( 51,312,348,275, 63, 94,116, 85,284,135,235,202, 75) ] ],
6330[ 7, 4245696, 1, "2", [ [ 117, 1 ], [ 52, 1 ], [ 208, 1 ] ], 1, "G(2, 3)",
6331  [ "G", 3, 1 ],
6332  [ (  1, 41,162,314,200,210,189,331)(  2,291,181, 62,328, 16,107, 50)
6333        (  3, 71,253,115,114, 78,239,229)(  4,324, 24,349,192,327,316,171)
6334        (  5, 91,182,185,302,378,100,157)(  6, 75,220,305,198,234, 12,250)
6335        (  7, 84,106,134,211,233,156,190)(  8,300,287,213,120,206, 81,118)
6336        (  9,334,242,132,197,278,319, 76)( 10, 96,219,361,326,286,368,339)
6337        ( 11, 79,139, 37,243,138,266,231)( 13,110,163,295,237, 52,122,194)
6338        ( 14,283,271, 63,288,299,270,303)( 15,164,255,127,356,312,173,355)
6339        ( 17,187,221, 55,289,248, 30,348)( 18,113,325,153,341, 85,347, 21)
6340        ( 19, 32, 87,104)( 20,323,240,359, 49,232, 28,308)( 22,304, 92,275,
6341         208, 48,345,228)( 23,103,338, 34,363,178,117,317)( 25,204,340,225,
6342         155,146,370,251)( 26,168,205,245,249,161, 38,201)( 27,226,125, 51,
6343         111,186,282, 80)( 29, 93,102,351,306,367, 60,143)( 31,374,224,298,
6344         258,165,358,262)( 33, 83,230,320,124, 97, 42,160)( 35,175,148,369,
6345         218,284,137,116)( 36,149,238,150,170,247,246,360)( 39,108,105,346,
6346         272,293,147,191)( 40,313, 57, 90,202,195,377,176)( 43, 89, 94,151,
6347         214,260, 88,311)( 44,301, 66,332, 58, 59, 64,140)( 45,279,259,343,
6348         216,193,135,172)( 46,145, 99,119,285,297,318,174)( 47,179, 95,101,
6349         337,199,357,129)( 53,352,366,321,203,121, 67,261)( 54,128,315, 82,
6350         223,133,264,373)( 56, 86,296,256)( 61,158,376,322)( 65,280,364,274,
6351         268,371,365,136)( 68,109,294,269, 98,235,131,141)( 69, 70,276,227,
6352         142,252,183,329)( 72,152,290,130,236,372,207,310)( 73,267,375,336,
6353         112,188,209,177)( 74,180,215,254,350, 77,212,184)(123,126,196,159,
6354         257,277,307,281)(144,167,342,244,344,265,273,292)(154,263,330,362)
6355        (166,169,241,335,333,309,222,354)(217,353),
6356      (  1,192,362, 17,309, 24,317,214)(  2,223, 92, 96,298,  3,253,378)
6357        (  4,133,264, 10)(  5,370,126,263,140,142,287,291)(  6, 91,241,248,
6358         216,124,188, 97)(  7,171,258, 78,105,286,335, 66)(  9,184,270,275,
6359         255,137,333,244)( 11,196,327,121,212, 76,172, 46)( 12,160, 70,152,
6360         267,162,254, 14)( 13,131,153, 35,154,113,130,136)( 15,159,224, 64,
6361         245,262,310, 98)( 16,373,209,176,138,302,187,369)( 18, 85,234,190,
6362         118,356,368,150)( 19, 84,180,265,148, 26,250,376)( 20,101,350,230,
6363          82,308,324,328)( 21,323,194,146,349,179,168,315)( 22,344,189,365,
6364         165, 27, 52,157)( 23, 28, 41, 54,272,277,331,106)( 25, 68,299,206,
6365         259,269,242,116)( 29,199, 53,112,260, 75,134,289)( 30,226,337,203,
6366         141,293,195,281)( 31,280, 47,221,220,339,163,227)( 32,144,217,336,
6367         321,107,247,161)( 33,218,185, 94,358,251,355,175)( 34,233, 69,191,
6368         283, 43,338,282)( 36,132,114, 90, 58,330,135, 74)( 37,364,169, 38,
6369          40,322,284,115)( 39,237,103,193,129,257, 45,285)( 42,117,232,343,
6370         360,240,174,325)( 44,273,104,314,243, 63, 60,164)( 48,297,173, 80)
6371        ( 49,278, 71,197,313,238,268,102)( 50,166, 56,357,290,353,320, 86)
6372        ( 51,351,366,213,123,207,341,158)( 55,145,128,292,231,307,228, 87)
6373        ( 57,367,186,208,318,301,306,155)( 59,204,222,120,249,100,334,271)
6374        ( 61,183,125, 72,143,340,288,363)( 62, 67)( 65,108,372,119,329,181,
6375         295,205)( 73,147,167,177, 93,274,371,346)( 79,122,375,219,326,332,
6376         294,229)( 81,311,316,202,276,210,109,170)( 83,312, 89,149,201,352,
6377         111,305)( 88,211,354,348,198,239,246,215)( 95,182,345,178,342,256,
6378         225,200)( 99,304,235,347,359,266,296,300)(110,252,303,319)(127,361)
6379        (139,279,156,377,261,151,374,236) ] ],
6380[ 8, 152444172305856930250752000000, 1, "2", [ [ 325, 1 ], [ 52, 1 ] ], 1,
6381  "Alt(28)", [ "A", 28, 1 ],
6382  [ (  2,  3,  5,  7, 11, 15, 21, 27, 35, 43, 53, 63, 75, 87,101,115,131,147,
6383         165,183,203,223,245,267,291,315)(  4,  6,  9, 12, 17, 22, 29, 36, 45,
6384         54, 65, 76, 89,102,117,132,149,166,185,204,225,246,269,292,317,341)
6385        (  8, 13, 19, 25, 33, 41, 51, 61, 73, 85, 99,113,129,145,163,181,201,
6386         221,243,265,289,313,339,364,316,342)( 10, 14, 20, 26, 34, 42, 52, 62,
6387         74, 86,100,114,130,146,164,182,202,222,244,266,290,314,340,365,378,
6388         366)( 16, 23, 31, 39, 49, 59, 71, 83, 97,111,127,143,161,179,199,219,
6389         241,263,287,311,337,362,268,293,319,344)( 18, 24, 32, 40, 50, 60, 72,
6390         84, 98,112,128,144,162,180,200,220,242,264,288,312,338,363,377,318,
6391         343,367)( 28, 37, 47, 57, 69, 81, 95,109,125,141,159,177,197,217,239,
6392         261,285,309,335,360,224,247,271,295,321,346)( 30, 38, 48, 58, 70, 82,
6393         96,110,126,142,160,178,198,218,240,262,286,310,336,361,376,270,294,
6394         320,345,368)( 44, 55, 67, 79, 93,107,123,139,157,175,195,215,237,259,
6395         283,307,333,358,184,205,227,249,273,297,323,348)( 46, 56, 68, 80, 94,
6396         108,124,140,158,176,196,216,238,260,284,308,334,359,375,226,248,272,
6397         296,322,347,369)( 64, 77, 91,105,121,137,155,173,193,213,235,257,281,
6398         305,331,356,148,167,187,207,229,251,275,299,325,350)( 66, 78, 92,106,
6399         122,138,156,174,194,214,236,258,282,306,332,357,374,186,206,228,250,
6400         274,298,324,349,370)( 88,103,119,135,153,171,191,211,233,255,279,303,
6401         329,354,116,133,151,169,189,209,231,253,277,301,327,352)
6402        ( 90,104,120,136,154,172,192,212,234,256,280,304,330,355,373,150,168,
6403         188,208,230,252,276,300,326,351,371)(118,134,152,170,190,210,232,254,
6404         278,302,328,353,372), (  1,  2,  4)(  3,  6, 10)(  5,  8,  9)
6405        (  7, 12, 18)( 11, 16, 17)( 15, 22, 30)( 21, 28, 29)( 27, 36, 46)
6406        ( 35, 44, 45)( 43, 54, 66)( 53, 64, 65)( 63, 76, 90)( 75, 88, 89)
6407        ( 87,102,118)(101,116,117)(115,132,150)(131,148,149)(147,166,186)
6408        (165,184,185)(183,204,226)(203,224,225)(223,246,270)(245,268,269)
6409        (267,292,318)(291,316,317)(315,341,366) ] ],
6410[ 9, 304888344611713860501504000000, 0, "2", [ [ 325, 1 ], [ 52, 1 ] ], 1,
6411  "Sym(28)", [ "A", 28, 1 ],
6412  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
6413          91,101,111,122,133,145,157,170,183,197)(  4,  6,  8, 11, 14, 18, 22,
6414         27, 32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,
6415         184,198,212,211)(  9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75,
6416         84, 93,103,113,124,135,147,159,172,185,199,213,227,226,240)
6417        ( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104,114,125,136,
6418         148,160,173,186,200,214,228,242,241,255,269)( 25, 30, 35, 41, 47, 54,
6419         61, 69, 77, 86, 95,105,115,126,137,149,161,174,187,201,215,229,243,
6420         257,256,270,284,298)( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,
6421         138,150,162,175,188,202,216,230,244,258,272,271,285,299,313,327)
6422        ( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,189,203,217,
6423         231,245,259,273,287,286,300,314,328,339,349)( 64, 72, 80, 89, 98,108,
6424         118,129,140,152,164,177,190,204,218,232,246,260,274,288,302,301,315,
6425         329,340,350,358,365)( 81, 90, 99,109,119,130,141,153,165,178,191,205,
6426         219,233,247,261,275,289,303,317,316,330,341,351,359,366,371,375)
6427        (100,110,120,131,142,154,166,179,192,206,220,234,248,262,276,290,304,
6428         318,312,326,338,348,357,364,370,374,377,378)(121,132,143,155,167,180,
6429         193,207,221,235,249,263,277,291,305,319,331,283,297,311,325,337,347,
6430         356,363,369,373,376)(144,156,168,181,194,208,222,236,250,264,278,292,
6431         306,320,332,342,254,268,282,296,310,324,336,346,355,362,368,372)
6432        (169,182,195,209,223,237,251,265,279,293,307,321,333,343,352,225,239,
6433         253,267,281,295,309,323,335,345,354,361,367)(196,210,224,238,252,266,
6434         280,294,308,322,334,344,353,360),
6435      (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
6436        ( 90,100)(110,121)(132,144)(156,169)(182,196)(197,211)(210,225)
6437        (212,226)(227,241)(239,254)(242,256)(257,271)(268,283)(272,286)
6438        (287,301)(297,312)(302,316)(317,326) ] ],
6439[10, Factorial(378)/2,1,"2",[[377,1]],376, "Alt(378)", ["A",378, 1], "Alt"],
6440[11, Factorial(378),0,"2",[[377, 1]],378, "Sym(378)", ["A",378, 1], "Sym"]];
6441PRIMGRP[379]:=
6442[[1, Factorial(379)/2,1,"2",[[378,1]],377, "Alt(379)", ["A",379, 1], "Alt"],
6443[2, Factorial(379),0,"2",[[378, 1]],379, "Sym(379)", ["A",379, 1], "Sym"],
6444[ 3, 379, 3, "1", [ [ 1, 378 ] ], 1, "C(379)", [ "Z", 379, 1 ], [  ] ],
6445[ 4, 758, 2, "1", [ [ 2, 189 ] ], 1, "D(2*379)", [ "Z", 379, 1 ],
6446  [ [ [ Z(379)^189 ] ] ] ],
6447[ 5, 1137, 2, "1", [ [ 3, 126 ] ], 1, "379:3", [ "Z", 379, 1 ],
6448  [ [ [ Z(379)^126 ] ] ] ],
6449[ 6, 2274, 2, "1", [ [ 6, 63 ] ], 1, "379:6", [ "Z", 379, 1 ],
6450  [ [ [ Z(379)^63 ] ] ] ],
6451[ 7, 2653, 2, "1", [ [ 7, 54 ] ], 1, "379:7", [ "Z", 379, 1 ],
6452  [ [ [ Z(379)^54 ] ] ] ],
6453[ 8, 3411, 2, "1", [ [ 9, 42 ] ], 1, "379:9", [ "Z", 379, 1 ],
6454  [ [ [ Z(379)^42 ] ] ] ],
6455[ 9, 5306, 2, "1", [ [ 14, 27 ] ], 1, "379:14", [ "Z", 379, 1 ],
6456  [ [ [ Z(379)^27 ] ] ] ],
6457[ 10, 6822, 2, "1", [ [ 18, 21 ] ], 1, "379:18", [ "Z", 379, 1 ],
6458  [ [ [ Z(379)^21 ] ] ] ],
6459[ 11, 7959, 2, "1", [ [ 21, 18 ] ], 1, "379:21", [ "Z", 379, 1 ],
6460  [ [ [ Z(379)^18 ] ] ] ],
6461[ 12, 10233, 2, "1", [ [ 27, 14 ] ], 1, "379:27", [ "Z", 379, 1 ],
6462  [ [ [ Z(379)^14 ] ] ] ],
6463[ 13, 15918, 2, "1", [ [ 42, 9 ] ], 1, "379:42", [ "Z", 379, 1 ],
6464  [ [ [ Z(379)^9 ] ] ] ],
6465[ 14, 20466, 2, "1", [ [ 54, 7 ] ], 1, "379:54", [ "Z", 379, 1 ],
6466  [ [ [ Z(379)^7 ] ] ] ],
6467[ 15, 23877, 2, "1", [ [ 63, 6 ] ], 1, "379:63", [ "Z", 379, 1 ],
6468  [ [ [ Z(379)^6 ] ] ] ],
6469[ 16, 47754, 2, "1", [ [ 126, 3 ] ], 1, "379:126", [ "Z", 379, 1 ],
6470  [ [ [ Z(379)^3 ] ] ] ],
6471[ 17, 71631, 2, "1", [ [ 189, 2 ] ], 1, "379:189", [ "Z", 379, 1 ],
6472  [ [ [ Z(379)^2 ] ] ] ],
6473[ 18, 143262, 2, "1", [ [ 378, 1 ] ], 2, "AGL(1, 379)", [ "Z", 379, 1 ],
6474  [ [ [ Z(379) ] ] ] ]];
6475PRIMGRP[380]:=
6476[[ 1, 27219780, 1, "2", [ [ 379, 1 ] ], 2, "PSL(2, 379)",
6477  [ "L", [ 2, 379 ], 1 ], "psl" ],
6478[ 2, 54439560, 0, "2", [ [ 379, 1 ] ], 3, "PGL(2, 379)",
6479  [ "L", [ 2, 379 ], 1 ], "pgl" ],
6480[3, Factorial(380)/2,1,"2",[[379,1]],378, "Alt(380)", ["A",380, 1], "Alt"],
6481[4, Factorial(380),0,"2",[[379, 1]],380, "Sym(380)", ["A",380, 1], "Sym"]];
6482PRIMGRP[381]:=
6483[[ 1, 5644682640, 1, "2", [ [ 380, 1 ] ], 2, "PSL(3, 19)",
6484  [ "L", [ 3, 19 ], 1 ],
6485  [ (  4, 14,213,113,242,376, 87,340,262)(  5, 67,263,106,341, 30, 88, 53,377,
6486         84,243,203,114,147,214,309, 15,219)(  6,287,327, 91,239,275, 79,364,
6487          46, 85, 19,334, 10,351,358, 61,335, 73)(  7,180,206,194,374,319,173,
6488         292,189, 25,379,345,225,329,155,185,299,289)(  8,301,142,182,271,238,
6489         171, 76,370,166,380,318,122,279, 44,355,297,332)(  9,304,354,176,151,
6490         58, 31,141, 17,270,240,198,187,205, 45,215,177,333)( 11,137,207, 42,
6491         284,118,222,162, 93,160,144, 41,150,237,256, 78,133,168)
6492        ( 12,321,323,282,126, 39,310, 63,153,121,343,108,357,324,257, 89,328,
6493         169)( 13,375,241, 51,104,201,217,381, 82,339,307,261, 86, 28,212,112,
6494         65,145)( 16,269,259, 22,233,272,350,174,127, 54,248, 64,154,267,273,
6495          57,235,157)( 18,322, 98,129, 77,296,167,111, 23,135,139,130,349,128,
6496         33,249,366,143)( 20,258, 21,181,228,195,274, 69,372,277,373,311,338,
6497         138,125,280,156,191)( 24,254, 62, 35,303,253,293,101,231, 50,276,363,
6498         159,305,368,362,360, 94)( 26, 81,149,204, 43, 38, 60,325,152,120,227,
6499         246,264,265,164,316, 70,230)( 27,331,208,365,245,175,298,163,315,161,
6500         100,247,102,320,172,158, 71,367)( 29,105, 66,218,308,146,202, 83, 52)
6501        ( 32,224,294,353,232,283,288,371,179,200,178, 80,330, 47,281,255, 55,
6502         347)( 34,250,252,103,369,123,110,148,186,291, 37, 59,132,359,268,131,
6503         342,184)( 36,314,136,286,107,196, 97,221, 75, 92,216, 49, 48,115,109,
6504         56,348,290)( 40,124,306,244,234,361, 95,119,300,192,209,352, 68,183,
6505         336, 74,165,337)( 72,313,223,326, 90,302,170,140,229,251,199,317,134,
6506         278,260,312,116,344)( 96,220,295,193,210,197,266,236,188,190,378,211,
6507         346,226, 99,285,356,117),
6508      (  1,212,168,377,376,112, 63,310,370,208,283, 27, 67, 66, 13,360,165,
6509          60,179,226,270,160, 64,142,121,311,131, 44, 50,135, 34,359,115,250,
6510         248,300,249, 84, 83,339,335,251, 77, 32,318,181,137,275,347, 80,352,
6511         148,371, 89, 54, 93,219,218,  3,  2)(  4,201,152,269,379, 53, 52, 82,
6512         326, 91, 46,351,235, 69,174,324,118,357, 43,117, 74,367,294,329,317,
6513         331, 12,169,136,266, 59,215, 75,119, 78,161,243,242, 86, 33,247,236,
6514         361, 68,134, 35,304,368, 88, 87,307,163,366, 81,342,190, 72,221,167,
6515           5)(  6, 40, 10,231,180, 15, 14, 28, 16,230,  8, 49,232,214,213,145,
6516         333,193,207, 79,344, 97,254,149,285,315,210,278,301,197, 56,287,362,
6517         200,154,194, 31,296,268, 98,312,263,262,261, 96, 45,256,274,260,286,
6518         109,128,295,177,133,327,343,186,157,189)(  7,176,279,341,340,241, 55,
6519         277,334,228,233,281,103, 21,102,188,289, 24, 48,130,198,209,239,355,
6520         316,378,328, 20,363,271,147,146, 51,290, 25,140,306,245,173,321,175,
6521         276, 41,293,211,223,369,139,323, 90,259, 22,124,303,185,138,182, 42,
6522         204,101)(  9, 26,365,288,257,156,171,222,132,153,143,172, 19, 61,205,
6523         238, 85,206,111,144,253,309,308,381,192,159,302, 18,158,151,350,280,
6524         240,358,220,373,346,246, 47, 30, 29,375, 37,166, 23,184,297, 70,191,
6525          76,162, 62,272, 94,337, 36, 11,380,353,108)( 17,224,322,125,106,105,
6526         65,345,216, 99,349,336,155,122,264,364, 58, 38,170,203,202,104,332,
6527         123,196,348, 92,120,110, 57,282,237,319,267,356,292,265,255,372,127,
6528          95,252,313,187,273, 73,305,183,291,100,338,227,320,234,298,229,129,
6529         299,284,244)( 39,126,164,354,225,199,116,374,141,325)
6530        ( 71,314,330,195,114,113,217,258,178,107) ] ],
6531[ 2, 16934047920, 0, "2", [ [ 380, 1 ] ], 2, "PGammaL(3, 19)",
6532  [ "L", [ 3, 19 ], 1 ],
6533  [ (  4,218, 14,308,213,146,113,202,242, 83,376, 52, 87, 29,340,105,262, 66)
6534        (  6,170,183,274,164,171,221,371,252, 50,198,173,282,256,235,128, 96,
6535         315)(  7, 89, 93,248,111,346,208, 10, 72,119, 20,152,  8,314,224,268,
6536         35, 58)(  9,329,343, 42,272, 98,236,158,364,278,306,138,204,279,109,
6537         281,291,360)( 11,259,143,210,102,239,199,337,373, 26,380, 49, 80,110,
6538         305,215,379, 63)( 12, 41,267,139,285,175, 61,326,209,181,246,182,107,
6539         232,184,293, 17,194)( 13,375,241, 51,104,201,217,381, 82,339,307,261,
6540         86, 28,212,112, 65,145)( 16,249,295,100,327,229, 74,372, 70,370, 92,
6541         200,369,363,205,189, 39,133)( 18,197,320,275,317, 40,311, 81,318, 48,
6542         330,148,368,177,345,153,137, 22)( 19,116,361,156, 60,297,290,347,132,
6543         254,176,299,324,222,127,296,378, 27)( 21,227,142,286,353,342,253,141,
6544         206,169,144,154,135, 99,245,358,223,192)( 23,226,365,351,313,300,258,
6545         120,301,136,294,131,303, 31,180,328,160, 64)( 24,354,185,357,118,174,
6546         77,190,367, 85,312,234,280, 38,355,348, 55, 59)( 25,310,168,269,366,
6547         193,247, 91,251,165,277,230,166,216,178,123,159, 45)( 32,359, 62,151,
6548         289,257,162, 54,167,211,331,334,344, 95,191,325,332, 36)
6549        ( 33,220,161,287,140,336, 69,316, 76, 75,179,103,276,187,292,126, 78,
6550         157)( 34,101,270,374,321,150,273,130,356,298,335, 90,352,228,264,271,
6551         196,283)( 37, 94,304,155,108,284,350,129,188, 71, 46,260,244,125, 43,
6552         44, 56,255)( 47,186,362,333,225,121,207,233,322,266,172, 79,134,124,
6553         338,149,122,115)( 57,349,117,163, 73,302, 68,195,265,238, 97,288,250,
6554         231,240,319,323,237),
6555      (  1,212,168,377,376,112, 63,310,370,208,283, 27, 67, 66, 13,360,165,
6556          60,179,226,270,160, 64,142,121,311,131, 44, 50,135, 34,359,115,250,
6557         248,300,249, 84, 83,339,335,251, 77, 32,318,181,137,275,347, 80,352,
6558         148,371, 89, 54, 93,219,218,  3,  2)(  4,201,152,269,379, 53, 52, 82,
6559         326, 91, 46,351,235, 69,174,324,118,357, 43,117, 74,367,294,329,317,
6560         331, 12,169,136,266, 59,215, 75,119, 78,161,243,242, 86, 33,247,236,
6561         361, 68,134, 35,304,368, 88, 87,307,163,366, 81,342,190, 72,221,167,
6562           5)(  6, 40, 10,231,180, 15, 14, 28, 16,230,  8, 49,232,214,213,145,
6563         333,193,207, 79,344, 97,254,149,285,315,210,278,301,197, 56,287,362,
6564         200,154,194, 31,296,268, 98,312,263,262,261, 96, 45,256,274,260,286,
6565         109,128,295,177,133,327,343,186,157,189)(  7,176,279,341,340,241, 55,
6566         277,334,228,233,281,103, 21,102,188,289, 24, 48,130,198,209,239,355,
6567         316,378,328, 20,363,271,147,146, 51,290, 25,140,306,245,173,321,175,
6568         276, 41,293,211,223,369,139,323, 90,259, 22,124,303,185,138,182, 42,
6569         204,101)(  9, 26,365,288,257,156,171,222,132,153,143,172, 19, 61,205,
6570         238, 85,206,111,144,253,309,308,381,192,159,302, 18,158,151,350,280,
6571         240,358,220,373,346,246, 47, 30, 29,375, 37,166, 23,184,297, 70,191,
6572          76,162, 62,272, 94,337, 36, 11,380,353,108)( 17,224,322,125,106,105,
6573         65,345,216, 99,349,336,155,122,264,364, 58, 38,170,203,202,104,332,
6574         123,196,348, 92,120,110, 57,282,237,319,267,356,292,265,255,372,127,
6575          95,252,313,187,273, 73,305,183,291,100,338,227,320,234,298,229,129,
6576         299,284,244)( 39,126,164,354,225,199,116,374,141,325)
6577        ( 71,314,330,195,114,113,217,258,178,107) ] ],
6578[3, Factorial(381)/2,1,"2",[[380,1]],379, "Alt(381)", ["A",381, 1], "Alt"],
6579[4, Factorial(381),0,"2",[[380, 1]],381, "Sym(381)", ["A",381, 1], "Sym"]];
6580PRIMGRP[382]:=
6581[[1, Factorial(382)/2,1,"2",[[381,1]],380, "Alt(382)", ["A",382, 1], "Alt"],
6582[2, Factorial(382),0,"2",[[381, 1]],382, "Sym(382)", ["A",382, 1], "Sym"]];
6583PRIMGRP[383]:=
6584[[1, Factorial(383)/2,1,"2",[[382,1]],381, "Alt(383)", ["A",383, 1], "Alt"],
6585[2, Factorial(383),0,"2",[[382, 1]],383, "Sym(383)", ["A",383, 1], "Sym"],
6586[ 3, 383, 3, "1", [ [ 1, 382 ] ], 1, "C(383)", [ "Z", 383, 1 ], [  ] ],
6587[ 4, 766, 2, "1", [ [ 2, 191 ] ], 1, "D(2*383)", [ "Z", 383, 1 ],
6588  [ [ [ Z(383)^191 ] ] ] ],
6589[ 5, 73153, 2, "1", [ [ 191, 2 ] ], 1, "383:191", [ "Z", 383, 1 ],
6590  [ [ [ Z(383)^2 ] ] ] ],
6591[ 6, 146306, 2, "1", [ [ 382, 1 ] ], 2, "AGL(1, 383)", [ "Z", 383, 1 ],
6592  [ [ [ Z(383) ] ] ] ]];
6593PRIMGRP[384]:=
6594[[ 1, 28090752, 1, "2", [ [ 383, 1 ] ], 2, "PSL(2, 383)",
6595  [ "L", [ 2, 383 ], 1 ], "psl" ],
6596[ 2, 56181504, 0, "2", [ [ 383, 1 ] ], 3, "PGL(2, 383)",
6597  [ "L", [ 2, 383 ], 1 ], "pgl" ],
6598[3, Factorial(384)/2,1,"2",[[383,1]],382, "Alt(384)", ["A",384, 1], "Alt"],
6599[4, Factorial(384),0,"2",[[383, 1]],384, "Sym(384)", ["A",384, 1], "Sym"]];
6600PRIMGRP[385]:=
6601[[1, Factorial(385)/2,1,"2",[[384,1]],383, "Alt(385)", ["A",385, 1], "Alt"],
6602[2, Factorial(385),0,"2",[[384, 1]],385, "Sym(385)", ["A",385, 1], "Sym"]];
6603PRIMGRP[386]:=
6604[[1, Factorial(386)/2,1,"2",[[385,1]],384, "Alt(386)", ["A",386, 1], "Alt"],
6605[2, Factorial(386),0,"2",[[385, 1]],386, "Sym(386)", ["A",386, 1], "Sym"]];
6606PRIMGRP[387]:=
6607[[1, Factorial(387)/2,1,"2",[[386,1]],385, "Alt(387)", ["A",387, 1], "Alt"],
6608[2, Factorial(387),0,"2",[[386, 1]],387, "Sym(387)", ["A",387, 1], "Sym"]];
6609PRIMGRP[388]:=
6610[[1, Factorial(388)/2,1,"2",[[387,1]],386, "Alt(388)", ["A",388, 1], "Alt"],
6611[2, Factorial(388),0,"2",[[387, 1]],388, "Sym(388)", ["A",388, 1], "Sym"]];
6612PRIMGRP[389]:=
6613[[1, Factorial(389)/2,1,"2",[[388,1]],387, "Alt(389)", ["A",389, 1], "Alt"],
6614[2, Factorial(389),0,"2",[[388, 1]],389, "Sym(389)", ["A",389, 1], "Sym"],
6615[ 3, 389, 3, "1", [ [ 1, 388 ] ], 1, "C(389)", [ "Z", 389, 1 ], [  ] ],
6616[ 4, 778, 2, "1", [ [ 2, 194 ] ], 1, "D(2*389)", [ "Z", 389, 1 ],
6617  [ [ [ Z(389)^194 ] ] ] ],
6618[ 5, 1556, 2, "1", [ [ 4, 97 ] ], 1, "389:4", [ "Z", 389, 1 ],
6619  [ [ [ Z(389)^97 ] ] ] ],
6620[ 6, 37733, 2, "1", [ [ 97, 4 ] ], 1, "389:97", [ "Z", 389, 1 ],
6621  [ [ [ Z(389)^4 ] ] ] ],
6622[ 7, 75466, 2, "1", [ [ 194, 2 ] ], 1, "389:194", [ "Z", 389, 1 ],
6623  [ [ [ Z(389)^2 ] ] ] ],
6624[ 8, 150932, 2, "1", [ [ 388, 1 ] ], 2, "AGL(1, 389)", [ "Z", 389, 1 ],
6625  [ [ [ Z(389) ] ] ] ]];
6626PRIMGRP[390]:=
6627[[ 1, 29431740, 1, "2", [ [ 389, 1 ] ], 2, "PSL(2, 389)",
6628  [ "L", [ 2, 389 ], 1 ], "psl" ],
6629[ 2, 58863480, 0, "2", [ [ 389, 1 ] ], 3, "PGL(2, 389)",
6630  [ "L", [ 2, 389 ], 1 ], "pgl" ],
6631[3, Factorial(390)/2,1,"2",[[389,1]],388, "Alt(390)", ["A",390, 1], "Alt"],
6632[4, Factorial(390),0,"2",[[389, 1]],390, "Sym(390)", ["A",390, 1], "Sym"]];
6633PRIMGRP[391]:=
6634[[1, Factorial(391)/2,1,"2",[[390,1]],389, "Alt(391)", ["A",391, 1], "Alt"],
6635[2, Factorial(391),0,"2",[[390, 1]],391, "Sym(391)", ["A",391, 1], "Sym"]];
6636PRIMGRP[392]:=
6637[[1, Factorial(392)/2,1,"2",[[391,1]],390, "Alt(392)", ["A",392, 1], "Alt"],
6638[2, Factorial(392),0,"2",[[391, 1]],392, "Sym(392)", ["A",392, 1], "Sym"]];
6639PRIMGRP[393]:=
6640[[1, Factorial(393)/2,1,"2",[[392,1]],391, "Alt(393)", ["A",393, 1], "Alt"],
6641[2, Factorial(393),0,"2",[[392, 1]],393, "Sym(393)", ["A",393, 1], "Sym"]];
6642PRIMGRP[394]:=
6643[[1, Factorial(394)/2,1,"2",[[393,1]],392, "Alt(394)", ["A",394, 1], "Alt"],
6644[2, Factorial(394),0,"2",[[393, 1]],394, "Sym(394)", ["A",394, 1], "Sym"]];
6645PRIMGRP[395]:=
6646[[1, Factorial(395)/2,1,"2",[[394,1]],393, "Alt(395)", ["A",395, 1], "Alt"],
6647[2, Factorial(395),0,"2",[[394, 1]],395, "Sym(395)", ["A",395, 1], "Sym"]];
6648PRIMGRP[396]:=
6649[[ 1, 95040, 1, "2", [ [ 15, 1 ], [ 60, 3 ], [ 30, 2 ], [ 10, 2 ], [ 120, 1 ] ]
6650    , 1, "M_12", [ "Spor", "M(12)", 1 ],
6651  [ (  1,144)(  2,146)(  3,270)(  5, 64)(  6, 49)(  7, 18)(  8,241)(  9, 73)
6652        ( 11, 59)( 12, 42)( 13,266)( 14, 46)( 15,113)( 16, 32)( 17,243)
6653        ( 19,150)( 20,319)( 21,260)( 22,151)( 23, 66)( 24,160)( 26,163)
6654        ( 27,205)( 28,316)( 29,135)( 30, 99)( 31, 74)( 33,304)( 35,350)
6655        ( 36,282)( 37,107)( 39, 92)( 40,292)( 41,373)( 43,320)( 44,295)
6656        ( 45,391)( 47, 81)( 48,190)( 50,377)( 51,285)( 52,100)( 53,251)
6657        ( 54,297)( 55,252)( 56,351)( 57,380)( 58,128)( 60,137)( 61, 69)
6658        ( 62,370)( 63,132)( 65,324)( 67,352)( 68,258)( 71,176)( 72,204)
6659        ( 75,185)( 76,342)( 77,112)( 79,174)( 80, 89)( 83,369)( 84,358)
6660        ( 85,336)( 86,166)( 87,169)( 88,110)( 91,138)( 93,195)( 94,177)
6661        ( 95,290)( 96,216)( 97,396)( 98,213)(101,105)(102,345)(103,247)
6662        (106,184)(108,307)(109,261)(114,275)(115,229)(116,273)(118,331)
6663        (119,236)(120,206)(121,388)(122,210)(124,196)(125,167)(126,245)
6664        (127,211)(129,257)(130,226)(133,298)(134,250)(136,178)(139,165)
6665        (140,159)(142,296)(143,359)(145,337)(147,317)(148,329)(149,231)
6666        (152,322)(153,374)(154,362)(155,361)(156,244)(157,366)(158,368)
6667        (161,289)(162,384)(164,279)(168,392)(170,288)(171,225)(172,228)
6668        (179,219)(180,212)(181,394)(183,269)(186,277)(187,299)(188,235)
6669        (189,349)(191,308)(192,309)(193,332)(194,340)(197,208)(198,306)
6670        (199,338)(200,249)(201,271)(202,217)(203,222)(207,223)(209,301)
6671        (214,385)(215,248)(218,389)(224,294)(230,262)(232,293)(234,281)
6672        (237,371)(238,315)(239,378)(240,341)(242,267)(253,390)(255,300)
6673        (256,381)(259,311)(263,264)(265,321)(268,382)(272,287)(274,312)
6674        (276,286)(280,357)(283,383)(291,367)(302,375)(303,323)(310,372)
6675        (313,348)(314,393)(325,326)(327,347)(328,335)(330,386)(333,334)
6676        (339,343)(355,387)(356,376)(363,379),
6677      (  1,108, 20)(  2,159, 34)(  3,291,373)(  4,321, 29)(  5,193,173)
6678        (  6, 43,220)(  7,181,171)(  8,351,362)(  9,364,382)( 10,328, 68)
6679        ( 11,329, 74)( 12, 24, 33)( 13, 63,388)( 14,111,363)( 15,218,365)
6680        ( 16, 41, 60)( 17, 35,277)( 18,187,322)( 19,287,343)( 21,288,177)
6681        ( 22,361,168)( 23, 58,383)( 25,106, 48)( 26,129,249)( 27,188,372)
6682        ( 28,126,198)( 30,261,141)( 31,146,380)( 32,208,103)( 36,156,165)
6683        ( 37,337,359)( 38,170,124)( 39,251,296)( 40,344,301)( 42,276,385)
6684        ( 44,299,233)( 45, 46,196)( 47,340,293)( 49,260,135)( 50, 77, 88)
6685        ( 51,389,259)( 52, 69,386)( 53,354,234)( 54,123,278)( 55, 96,128)
6686        ( 56,327,158)( 57,387,273)( 59,149, 76)( 61,319,137)( 62,375,112)
6687        ( 64,311,265)( 65,357,169)( 66,116,207)( 67,176,225)( 70,390,264)
6688        ( 71,308,136)( 72,175,246)( 73,303, 83)( 75,244,349)( 78,202,309)
6689        ( 79,350,119)( 80,254,240)( 81,266,263)( 82,300,376)( 84, 85,356)
6690        ( 86,279,248)( 87,219, 97)( 89,281,178)( 90,271,262)( 91,172,174)
6691        ( 92,336,295)( 93,332,151)( 94,105,109)( 95,360,384)( 98,212,185)
6692        ( 99,394,155)(100,369,338)(101,317,162)(102,274,353)(104,326,318)
6693        (107,267,316)(110,223,132)(113,358,258)(114,166,182)(115,189,352)
6694        (117,228,286)(118,323,334)(120,236,242)(121,201,256)(122,237,160)
6695        (125,285,221)(127,190,335)(130,268,368)(131,257,348)(133,272,269)
6696        (134,157,227)(138,331,280)(139,238,239)(140,183,214)(142,292,339)
6697        (143,270,211)(144,148,379)(145,192,252)(147,342,209)(150,210,297)
6698        (152,153,232)(154,197,381)(161,314,180)(163,371,216)(164,195,284)
6699        (167,275,374)(179,391,245)(184,378,320)(186,241,346)(191,367,302)
6700        (194,250,305)(199,312,298)(200,306,315)(203,243,235)(204,283,231)
6701        (205,222,224)(206,255,345)(213,370,294)(215,289,377)(217,313,325)
6702        (226,392,366)(229,290,341)(230,396,310)(247,330,282)(253,307,333)
6703        (304,393,347)(324,395,355) ] ],
6704[ 2, 190080, 0, "2", [ [ 15, 1 ], [ 60, 2 ], [ 20, 1 ], [ 120, 2 ] ], 1,
6705  "M_12.2", [ "Spor", "M(12)", 1 ],
6706  [ (  1,244)(  2, 56)(  3,348)(  4,140)(  5,259)(  6,221)(  7,118)(  8,277)
6707        (  9, 99)( 10,296)( 11, 22)( 12,254)( 13,386)( 14,391)( 15,210)
6708        ( 16,197)( 17, 86)( 18,142)( 19,358)( 20,390)( 21, 51)( 23,236)
6709        ( 24, 84)( 25,263)( 26,381)( 27,298)( 28,133)( 29,167)( 30,361)
6710        ( 31,148)( 32,157)( 33,393)( 34,135)( 35,273)( 36, 47)( 37,274)
6711        ( 38,112)( 39,239)( 40,258)( 41,316)( 42,200)( 43, 44)( 45,234)
6712        ( 46,360)( 48,155)( 49,280)( 50,191)( 52,318)( 53,394)( 54,336)
6713        ( 55,169)( 57,241)( 58,385)( 60,334)( 61,295)( 62,201)( 63, 82)
6714        ( 64, 66)( 68,371)( 69,108)( 70,190)( 71,102)( 72,131)( 73,364)
6715        ( 74,154)( 75,175)( 76,228)( 77,262)( 78, 94)( 79,317)( 80,126)
6716        ( 81,158)( 83,325)( 85,106)( 87,220)( 88,356)( 89,286)( 90,224)
6717        ( 91,299)( 92,225)( 93,185)( 95,121)( 96,388)( 97,302)( 98,230)
6718        (100,187)(101,293)(103,264)(104,199)(107,125)(109,369)(110,196)
6719        (111,290)(114,143)(115,266)(117,209)(119,368)(120,352)(122,376)
6720        (123,186)(127,202)(128,173)(129,149)(130,137)(132,240)(134,353)
6721        (136,219)(138,301)(139,363)(141,323)(144,319)(145,153)(146,265)
6722        (147,384)(150,198)(151,328)(152,357)(156,279)(159,216)(160,257)
6723        (161,178)(162,379)(163,304)(164,166)(165,378)(168,373)(170,217)
6724        (171,300)(172,344)(174,223)(176,248)(177,322)(179,309)(180,246)
6725        (182,222)(183,203)(184,253)(188,275)(189,284)(192,260)(193,231)
6726        (194,382)(195,342)(204,213)(205,308)(206,351)(207,255)(208,218)
6727        (211,392)(212,327)(214,341)(226,232)(227,251)(229,349)(233,330)
6728        (235,375)(237,271)(238,339)(242,338)(243,297)(245,367)(249,272)
6729        (250,281)(252,269)(256,285)(261,374)(267,347)(270,306)(276,292)
6730        (278,350)(282,329)(283,332)(287,294)(288,377)(289,314)(291,310)
6731        (303,331)(305,312)(311,362)(313,383)(320,324)(326,359)(335,343)
6732        (337,396)(340,345)(354,366)(355,380)(365,389)(370,372)(387,395),
6733      (  1,185,286)(  2,153, 70)(  3,215,295)(  4,173,360)(  5,338, 33)
6734        (  6,144,217)(  7,160,135)(  8,181,111)(  9, 55, 90)( 10, 35,386)
6735        ( 11,307,309)( 12,356,107)( 13,377,148)( 14, 64,384)( 15, 60,159)
6736        ( 16,161,187)( 17,358, 68)( 18,271, 62)( 19,292,357)( 20,222,261)
6737        ( 21,369,231)( 22, 97,113)( 23, 41,364)( 24,370, 36)( 25,395,233)
6738        ( 26,182, 61)( 27,294,333)( 28,365,390)( 29,282,201)( 30,126, 93)
6739        ( 31,393,226)( 32, 95, 81)( 34,154,381)( 37,129,372)( 38,156,145)
6740        ( 39,245, 67)( 40,382,112)( 42,310,105)( 43,186,275)( 44,204,125)
6741        ( 45,199, 46)( 47,317,289)( 48,273,178)( 49,138, 75)( 50,166,387)
6742        ( 51,272,176)( 52,297,361)( 53,242,368)( 54,378,326)( 56,224,322)
6743        ( 57,349,175)( 58,339,223)( 59, 76,296)( 63,291,259)( 65,197,383)
6744        ( 66,373,220)( 69,163,354)( 71,209,315)( 72,248,127)( 73,252,221)
6745        ( 74,119,306)( 77,335,280)( 78,244,337)( 79,283,240)( 80,324,174)
6746        ( 82,380,189)( 83,102,279)( 84,177,281)( 85,263,267)( 86,266,170)
6747        ( 87,168,210)( 88,285,238)( 89,341,208)( 91,202,276)( 92,313,195)
6748        ( 94,243,237)( 96,132,312)( 98,151,140)( 99,348,352)(100,121,239)
6749        (101,257,376)(103,136,157)(104,146,374)(106,345,260)(108,142,262)
6750        (109,118,165)(110,301,287)(114,206,229)(115,179,320)(116,143,366)
6751        (117,344,141)(120,277,219)(122,171,172)(123,346,284)(124,265,235)
6752        (128,194,180)(130,302,236)(131,389,347)(133,340,207)(134,249,321)
6753        (137,396,213)(139,323,319)(147,290,299)(149,164,184)(150,328,268)
6754        (152,205,332)(155,325,388)(158,264,183)(162,304,391)(167,211,270)
6755        (169,228,232)(188,200,385)(190,247,359)(191,367,216)(192,230,342)
6756        (193,334,351)(196,214,250)(198,375,314)(203,303,331)(212,298,343)
6757        (218,327,305)(225,392,293)(227,363,255)(234,371,258)(241,394,318)
6758        (246,253,316)(251,269,336)(254,362,256)(274,311,308)(278,379,300)
6759        (288,329,355)(330,353,350) ] ],
6760[3, Factorial(396)/2,1,"2",[[395,1]],394, "Alt(396)", ["A",396, 1], "Alt"],
6761[4, Factorial(396),0,"2",[[395, 1]],396, "Sym(396)", ["A",396, 1], "Sym"]];
6762PRIMGRP[397]:=
6763[[1, Factorial(397)/2,1,"2",[[396,1]],395, "Alt(397)", ["A",397, 1], "Alt"],
6764[2, Factorial(397),0,"2",[[396, 1]],397, "Sym(397)", ["A",397, 1], "Sym"],
6765[ 3, 397, 3, "1", [ [ 1, 396 ] ], 1, "C(397)", [ "Z", 397, 1 ], [  ] ],
6766[ 4, 794, 2, "1", [ [ 2, 198 ] ], 1, "D(2*397)", [ "Z", 397, 1 ],
6767  [ [ [ Z(397)^198 ] ] ] ],
6768[ 5, 1191, 2, "1", [ [ 3, 132 ] ], 1, "397:3", [ "Z", 397, 1 ],
6769  [ [ [ Z(397)^132 ] ] ] ],
6770[ 6, 1588, 2, "1", [ [ 4, 99 ] ], 1, "397:4", [ "Z", 397, 1 ],
6771  [ [ [ Z(397)^99 ] ] ] ],
6772[ 7, 2382, 2, "1", [ [ 6, 66 ] ], 1, "397:6", [ "Z", 397, 1 ],
6773  [ [ [ Z(397)^66 ] ] ] ],
6774[ 8, 3573, 2, "1", [ [ 9, 44 ] ], 1, "397:9", [ "Z", 397, 1 ],
6775  [ [ [ Z(397)^44 ] ] ] ],
6776[ 9, 4367, 2, "1", [ [ 11, 36 ] ], 1, "397:11", [ "Z", 397, 1 ],
6777  [ [ [ Z(397)^36 ] ] ] ],
6778[ 10, 4764, 2, "1", [ [ 12, 33 ] ], 1, "397:12", [ "Z", 397, 1 ],
6779  [ [ [ Z(397)^33 ] ] ] ],
6780[ 11, 7146, 2, "1", [ [ 18, 22 ] ], 1, "397:18", [ "Z", 397, 1 ],
6781  [ [ [ Z(397)^22 ] ] ] ],
6782[ 12, 8734, 2, "1", [ [ 22, 18 ] ], 1, "397:22", [ "Z", 397, 1 ],
6783  [ [ [ Z(397)^18 ] ] ] ],
6784[ 13, 13101, 2, "1", [ [ 33, 12 ] ], 1, "397:33", [ "Z", 397, 1 ],
6785  [ [ [ Z(397)^12 ] ] ] ],
6786[ 14, 14292, 2, "1", [ [ 36, 11 ] ], 1, "397:36", [ "Z", 397, 1 ],
6787  [ [ [ Z(397)^11 ] ] ] ],
6788[ 15, 17468, 2, "1", [ [ 44, 9 ] ], 1, "397:44", [ "Z", 397, 1 ],
6789  [ [ [ Z(397)^9 ] ] ] ],
6790[ 16, 26202, 2, "1", [ [ 66, 6 ] ], 1, "397:66", [ "Z", 397, 1 ],
6791  [ [ [ Z(397)^6 ] ] ] ],
6792[ 17, 39303, 2, "1", [ [ 99, 4 ] ], 1, "397:99", [ "Z", 397, 1 ],
6793  [ [ [ Z(397)^4 ] ] ] ],
6794[ 18, 52404, 2, "1", [ [ 132, 3 ] ], 1, "397:132", [ "Z", 397, 1 ],
6795  [ [ [ Z(397)^3 ] ] ] ],
6796[ 19, 78606, 2, "1", [ [ 198, 2 ] ], 1, "397:198", [ "Z", 397, 1 ],
6797  [ [ [ Z(397)^2 ] ] ] ],
6798[ 20, 157212, 2, "1", [ [ 396, 1 ] ], 2, "AGL(1, 397)", [ "Z", 397, 1 ],
6799  [ [ [ Z(397) ] ] ] ]];
6800PRIMGRP[398]:=
6801[[ 1, 31285188, 1, "2", [ [ 397, 1 ] ], 2, "PSL(2, 397)",
6802  [ "L", [ 2, 397 ], 1 ], "psl" ],
6803[ 2, 62570376, 0, "2", [ [ 397, 1 ] ], 3, "PGL(2, 397)",
6804  [ "L", [ 2, 397 ], 1 ], "pgl" ],
6805[3, Factorial(398)/2,1,"2",[[397,1]],396, "Alt(398)", ["A",398, 1], "Alt"],
6806[4, Factorial(398),0,"2",[[397, 1]],398, "Sym(398)", ["A",398, 1], "Sym"]];
6807PRIMGRP[399]:=
6808[[1, Factorial(399)/2,1,"2",[[398,1]],397, "Alt(399)", ["A",399, 1], "Alt"],
6809[2, Factorial(399),0,"2",[[398, 1]],399, "Sym(399)", ["A",399, 1], "Sym"]];
6810PRIMGRP[400]:=
6811[[ 1, 138297600, 1, "2", [ [ 56, 1 ], [ 343, 1 ] ], 1, "PSp(4, 7)",
6812  [ "B", [ 2, 7 ], 1 ],
6813  [ (  3,  4)(  5,  7)(  6,  9)(  8, 12)( 10, 14)( 11, 16)( 13, 19)( 15, 22)
6814        ( 17, 25)( 18, 23)( 20, 29)( 21, 31)( 24, 34)( 26, 37)( 27, 38)
6815        ( 28, 40)( 30, 43)( 32, 41)( 33, 47)( 35, 49)( 36, 51)( 39, 55)
6816        ( 42, 57)( 44, 60)( 45, 61)( 46, 63)( 48, 66)( 50, 69)( 52, 71)
6817        ( 53, 73)( 54, 75)( 56, 78)( 58, 81)( 59, 83)( 62, 87)( 64, 89)
6818        ( 67, 92)( 68, 94)( 70, 97)( 72, 99)( 74,102)( 76,105)( 77,107)
6819        ( 79,110)( 82,113)( 84,116)( 85,118)( 90,123)( 91,125)( 93,128)
6820        ( 95,130)( 96,132)( 98,134)(100,137)(101,138)(103,141)(104,133)
6821        (106,145)(108,148)(109,150)(112,152)(114,151)(117,156)(119,159)
6822        (120,161)(121,163)(122,155)(124,165)(126,167)(127,169)(129,172)
6823        (131,158)(136,180)(139,184)(140,186)(142,164)(143,189)(144,191)
6824        (146,193)(147,192)(149,195)(153,199)(154,174)(157,204)(160,187)
6825        (162,206)(166,179)(170,213)(171,215)(173,217)(175,207)(176,197)
6826        (177,220)(178,222)(182,227)(183,229)(185,218)(188,234)(190,230)
6827        (194,238)(196,208)(198,242)(200,225)(201,210)(202,244)(203,246)
6828        (205,247)(209,226)(211,224)(212,252)(214,254)(216,256)(219,260)
6829        (221,239)(223,236)(228,266)(231,270)(232,237)(235,273)(240,278)
6830        (241,280)(243,272)(245,282)(248,281)(249,263)(250,285)(251,287)
6831        (253,275)(255,265)(257,292)(258,293)(259,294)(261,295)(262,296)
6832        (264,298)(267,301)(268,302)(269,303)(271,305)(274,307)(277,286)
6833        (279,311)(283,289)(284,315)(288,317)(290,319)(291,308)(297,323)
6834        (299,325)(300,326)(304,329)(306,314)(309,332)(310,333)(312,335)
6835        (313,337)(316,322)(320,340)(321,339)(324,343)(327,346)(328,348)
6836        (330,350)(331,352)(334,355)(336,358)(338,342)(341,363)(344,366)
6837        (345,368)(347,369)(351,373)(353,367)(354,365)(356,378)(357,377)
6838        (359,375)(360,381)(361,383)(362,385)(364,387)(370,386)(371,379)
6839        (372,374)(376,388)(380,389)(382,394)(384,395)(390,397)(391,393)
6840        (392,399)(396,400), (  1,  2,  3,  5,  8)(  4,  6, 10, 15, 23)
6841        (  7, 11, 17, 26, 34)(  9, 13, 20, 30, 44)( 12, 18, 27, 39, 40)
6842        ( 14, 21, 32, 46, 64)( 16, 24, 35, 50, 70)( 19, 28, 41, 56, 79)
6843        ( 22, 33, 48, 67, 93)( 25, 36, 52, 72,100)( 29, 42, 58, 82,114)
6844        ( 31, 45, 62, 69, 96)( 37, 53, 74,103,142)( 38, 54, 76,106,146)
6845        ( 43, 59, 84,117,157)( 47, 65, 90,124,145)( 49, 68, 95,131,175)
6846        ( 51, 61, 86,119,160)( 55, 77,108,149,196)( 57, 80,111,152,198)
6847        ( 60, 85, 89,122,159)( 63, 88,121,164,209)( 66, 91,126,168,193)
6848        ( 71, 98,135,179,224)( 73,101,139,185,191)( 75,104,143,190,237)
6849        ( 78,109,151,156,203)( 81,112,110,107,147)( 83,115,154,201,243)
6850        ( 87,120,162,207,249)( 92,127,170,214,227)( 94,129,173,218,259)
6851        ( 97,133,177,221,161)( 99,136,181,226,265)(102,140,187,233,272)
6852        (105,144,192,167,211)(113,153,200,125,166)(116,155,202,245,213)
6853        (118,158,205,234,123)(128,171,216,257,220)(130,174,150,197,241)
6854        (132,176,219,261,260)(134,178,223,263,204)(137,182,228,267,302)
6855        (138,183,230,269,303)(141,188,235,274,273)(148,194,239,277,309)
6856        (163,208,250,286,172)(165,210,251,288,252)(169,212,253,289,318)
6857        (180,225,264,299,244)(184,231,215,255,247)(186,232,271,306,296)
6858        (189,236,275,308,329)(195,240,279,312,336)(199,217,258,256,291)
6859        (206,248,284,294,280)(222,262,297,324,323)(229,268,293,292,321)
6860        (238,276,246,283,314)(242,281,305,287,315)(254,290,320,341,364)
6861        (266,300,327,347,370)(270,304,330,351,374)(278,310,334,356,379)
6862        (282,313,311,335,357)(285,316,338,360,382)(295,322,342,365,388)
6863        (298,317,339,361,384)(301,328,349,371,383)(307,331,353,369,390)
6864        (319,333,354,376,332)(325,344,367,385,394)(326,345,363,378,343)
6865        (337,359,380,387,396)(340,362,386,373,392)(346,355,377,393,366)
6866        (348,352,375,381,358)(350,372,391,398,400)(368,389,397,395,399) ] ],
6867[ 2, 276595200, 0, "2", [ [ 56, 1 ], [ 343, 1 ] ], 1, "PSp(4, 7):2",
6868  [ "B", [ 2, 7 ], 1 ],
6869  [ (  1,  2)(  3,  5)(  4,  7)(  6,  9)(  8, 11)( 10, 14)( 12, 17)( 13, 19)
6870        ( 15, 22)( 16, 24)( 18, 27)( 20, 30)( 21, 32)( 23, 35)( 25, 38)
6871        ( 26, 40)( 28, 43)( 29, 44)( 31, 47)( 33, 50)( 34, 52)( 36, 55)
6872        ( 37, 56)( 39, 59)( 41, 62)( 42, 64)( 45, 67)( 46, 69)( 48, 72)
6873        ( 49, 73)( 51, 76)( 53, 79)( 54, 81)( 57, 85)( 58, 87)( 60, 88)
6874        ( 61, 89)( 63, 92)( 65, 95)( 66, 97)( 68,100)( 70,103)( 71,104)
6875        ( 74,108)( 75,110)( 77,113)( 78,114)( 80,117)( 82, 93)( 83,120)
6876        ( 84,122)( 86,125)( 90,130)( 91,132)( 94,135)( 96,138)( 98,141)
6877        ( 99,143)(101,146)(102,147)(105,151)(106,153)(107,155)(109,158)
6878        (111,161)(112,163)(115,166)(116,168)(118,171)(119,172)(121,174)
6879        (123,176)(124,178)(126,127)(128,182)(129,184)(131,186)(133,139)
6880        (134,140)(136,190)(137,192)(142,195)(144,197)(145,199)(148,203)
6881        (149,204)(150,202)(152,208)(154,210)(156,213)(157,215)(159,160)
6882        (162,219)(164,221)(165,222)(167,214)(169,226)(170,228)(173,185)
6883        (175,230)(177,233)(179,235)(180,237)(181,239)(183,242)(187,247)
6884        (188,244)(189,249)(191,251)(193,252)(194,254)(196,257)(198,259)
6885        (200,262)(201,264)(205,207)(206,268)(209,271)(211,273)(212,274)
6886        (216,278)(217,279)(218,281)(220,283)(223,234)(224,285)(225,288)
6887        (227,290)(229,293)(231,295)(232,296)(236,299)(238,302)(240,289)
6888        (241,305)(243,307)(245,284)(246,309)(248,292)(250,291)(253,314)
6889        (255,317)(256,266)(258,319)(260,321)(261,301)(263,322)(265,324)
6890        (267,326)(269,328)(270,329)(272,331)(275,335)(276,334)(277,337)
6891        (280,340)(282,343)(286,345)(287,346)(294,332)(297,351)(298,342)
6892        (300,320)(303,353)(304,350)(306,354)(308,344)(310,357)(311,358)
6893        (312,352)(313,361)(315,363)(316,364)(318,365)(323,368)(325,369)
6894        (327,371)(330,374)(333,376)(336,377)(338,355)(339,379)(341,380)
6895        (347,359)(348,383)(349,384)(356,375)(360,386)(362,385)(366,382)
6896        (367,391)(370,390)(372,387)(373,392)(378,394)(381,396)(388,389)
6897        (393,395)(397,400)(398,399),
6898      (  1,  3,  6,  2,  4)(  5,  8, 12, 18, 28)(  7, 10, 15, 23, 36)
6899        (  9, 13, 20, 31, 48)( 11, 16, 25, 39, 60)( 14, 21, 33, 51, 77)
6900        ( 17, 26, 41, 63, 93)( 19, 29, 45, 68,101)( 22, 34, 53, 80,118)
6901        ( 24, 37, 57, 86,126)( 27, 42, 65, 96,139)( 30, 46, 70, 95,137)
6902        ( 32, 49, 74,109,159)( 35, 54, 82, 38, 58)( 40, 61, 90,131,187)
6903        ( 43, 64, 94,136,191)( 44, 66, 98,142,196)( 47, 71,105,152,209)
6904        ( 50, 75,111,162,220)( 52, 78,115,167,225)( 55, 83,121,175,231)
6905        ( 56, 84,123,177,234)( 59, 73,107,156,214)( 62, 91,133,189,250)
6906        ( 67, 99,144,198,260)( 69,102,148, 76,112)( 72,106,154,211,247)
6907        ( 79,116,169,227,291)( 81,119,173,122,120)( 85,124,179,236,300)
6908        ( 87,127,181,240,171)( 88,128,183,243,288)( 89,129,185,245,257)
6909        ( 92,134,151,207,242)( 97,140,193,253,315)(100,145,200,263,323)
6910        (103,149,205,267,290)(104,150,206,269,168)(108,157,216,262,163)
6911        (110,160,178,235,298)(113,164,208,270,249)(114,165,223,286,153)
6912        (117,170,203,266,135)(125,180,238,303,307)(130,143,197,258,320)
6913        (132,188,248,311,359)(138,174,186,246,310)(141,194,255,302,340)
6914        (146,201,213,276,336)(147,202,265,325,319)(155,212,275,278,339)
6915        (158,217,280,341,190)(161,218,282,221,284)(166,224,287,347,324)
6916        (172,229,281,342,279)(176,232,297,199,261)(182,241,306,355,363)
6917        (184,244,308,356,204)(192,210,272,332,305)(195,256,318,326,370)
6918        (215,277,338,378,328)(219,283,237,301,352)(222,285,344,239,304)
6919        (226,289,348,361,389)(228,292,264,233,259)(230,294,350,274,334)
6920        (251,312,360,388,392)(252,313,362,273,333)(254,316,271,330,375)
6921        (268,327,372,317,364)(293,349,385,377,295)(296,351,309,321,366)
6922        (299,322,367,354,386)(314,343,381,379,337)(329,373,393,399,353)
6923        (331,376,346,357,368)(335,374,345,382,369)(358,387,397,396,400)
6924        (365,390,398,380,395)(371,383,384,394,391) ] ],
6925[ 3, 138297600, 1, "2", [ [ 56, 1 ], [ 343, 1 ] ], 1, "PSp(4, 7)",
6926  [ "B", [ 2, 7 ], 1 ],
6927  [ (  3,  4)(  5,  7)(  6,  9)( 10, 13)( 11, 15)( 12, 17)( 14, 20)( 16, 23)
6928        ( 18, 25)( 19, 27)( 21, 29)( 22, 30)( 24, 33)( 26, 35)( 28, 38)
6929        ( 31, 42)( 32, 44)( 34, 47)( 39, 52)( 40, 54)( 45, 60)( 48, 64)
6930        ( 49, 65)( 53, 68)( 55, 71)( 56, 73)( 57, 75)( 58, 77)( 59, 78)
6931        ( 61, 81)( 62, 83)( 66, 88)( 67, 90)( 69, 93)( 70, 94)( 72, 97)
6932        ( 76, 99)( 80,102)( 82,105)( 84,107)( 86,110)( 89,114)( 91,117)
6933        ( 92,119)( 95,123)( 96,125)(100,129)(101,130)(104,134)(106,137)
6934        (108,109)(111,142)(112,144)(113,146)(115,149)(116,150)(120,155)
6935        (121,157)(122,159)(124,161)(127,165)(128,166)(131,168)(132,170)
6936        (136,174)(138,177)(139,179)(140,181)(141,182)(143,185)(145,148)
6937        (147,186)(151,171)(152,189)(153,191)(154,192)(156,195)(158,198)
6938        (160,201)(162,203)(163,204)(164,206)(167,169)(173,212)(175,215)
6939        (180,196)(183,221)(184,223)(187,219)(188,193)(190,229)(194,234)
6940        (200,237)(202,240)(205,244)(207,238)(209,248)(210,250)(211,251)
6941        (213,253)(216,256)(217,258)(218,260)(220,262)(224,267)(225,268)
6942        (227,236)(231,273)(233,276)(235,279)(239,282)(242,285)(243,287)
6943        (245,290)(249,291)(255,298)(257,301)(259,303)(261,300)(263,307)
6944        (264,309)(270,313)(271,286)(272,315)(275,318)(278,321)(280,323)
6945        (283,325)(288,329)(289,331)(292,335)(294,337)(296,339)(297,338)
6946        (299,310)(304,344)(305,345)(308,319)(311,348)(312,349)(314,352)
6947        (316,334)(317,330)(320,341)(322,356)(324,357)(327,347)(332,358)
6948        (333,359)(336,354)(340,364)(342,366)(343,367)(346,370)(350,375)
6949        (351,362)(355,377)(360,374)(361,381)(363,382)(365,383)(369,379)
6950        (372,388)(378,391)(384,395)(387,396)(390,397)(394,398),
6951      (  1,  2,  3,  5,  8)(  4,  6, 10, 14, 21)(  7, 11, 16, 24, 17)
6952        (  9, 12, 18, 26, 36)( 13, 19, 25, 34, 48)( 15, 22, 31, 43, 58)
6953        ( 20, 28, 39, 53, 69)( 23, 32, 45, 61, 82)( 27, 37, 50, 35, 49)
6954        ( 29, 40, 55, 72, 73)( 30, 41, 56, 74, 98)( 33, 46, 62, 84,108)
6955        ( 38, 51, 66, 89,115)( 42, 57, 76,100,129)( 44, 59, 79, 99,128)
6956        ( 47, 63, 85,109,140)( 52, 67, 91,118,153)( 54, 70, 95,124,162)
6957        ( 60, 80,103,133,172)( 64, 86,111,143,146)( 65, 87,112,145,144)
6958        ( 68, 92,120,156,196)( 71, 96,126,164,207)( 75, 97,127,155,194)
6959        ( 77, 78,101,131,169)( 81,104,135,173,213)( 83,106,138,178,149)
6960        ( 88,113,147,187,123)( 90,116,151,188,227)( 93,121,158,199,237)
6961        ( 94,122,160,114,148)(102,132,171,211,134)(105,136,175,137,176)
6962        (107,139,180,218,240)(110,141,183,222,265)(117,152,190,230,272)
6963        (119,154,193,233,277)(125,163,205,245,268)(130,167,186,226,270)
6964        (142,184,224,206,246)(150,177,216,257,302)(157,197,235,189,228)
6965        (159,200,238,281,248)(161,202,241,284,327)(165,198,236,280,324)
6966        (166,208,247,250,293)(168,209,249,292,336)(170,210,234,278,322)
6967        (174,214,254,297,325)(179,217,259,304,279)(181,219,261,262,306)
6968        (182,220,263,308,285)(185,225,269,312,350)(191,231,274,317,318)
6969        (192,232,275,319,353)(195,204,243,288,330)(201,239,283,326,258)
6970        (203,242,286,287,328)(212,252,295,339,363)(215,255,299,323,307)
6971        (221,264,310,223,266)(229,271,314,331,357)(244,289,332,349,374)
6972        (251,294,338,253,296)(256,300,341,365,384)(260,305,346,371,387)
6973        (267,311,345,273,316)(276,320,354,376,377)(282,313,351,301,342)
6974        (290,333,360,380,393)(291,334,361,335,359)(298,340,348,373,389)
6975        (303,343,368,385,370)(309,347,372,381,315)(321,355,378,392,358)
6976        (329,344,369,386,352)(337,362,375,390,367)(356,379,364,366,383)
6977        (382,394,395,398,400)(388,396,397,399,391) ] ],
6978[ 4, 276595200, 0, "2", [ [ 56, 1 ], [ 343, 1 ] ], 1, "PSp(4, 7):2",
6979  [ "B", [ 2, 7 ], 1 ],
6980  [ (  3,  4)(  6,  8)(  7, 10)(  9, 12)( 13, 17)( 14, 18)( 15, 20)( 16, 22)
6981        ( 19, 25)( 21, 28)( 23, 31)( 24, 33)( 26, 36)( 27, 38)( 29, 41)
6982        ( 32, 44)( 34, 47)( 35, 49)( 37, 52)( 39, 54)( 40, 56)( 42, 59)
6983        ( 43, 57)( 45, 63)( 51, 69)( 53, 72)( 58, 78)( 60, 81)( 61, 83)
6984        ( 62, 85)( 64, 88)( 65, 90)( 66, 92)( 67, 93)( 68, 95)( 70, 98)
6985        ( 71,100)( 73,103)( 74,105)( 75,107)( 77,109)( 79,112)( 80,114)
6986        ( 82,117)( 84,119)( 86,122)( 87,124)( 89,113)( 91,127)( 94,131)
6987        ( 96,133)( 97,111)( 99,136)(101,139)(102,140)(106,134)(108,146)
6988        (110,149)(115,147)(116,155)(118,158)(120,161)(121,162)(126,166)
6989        (129,168)(130,170)(132,152)(135,174)(137,177)(138,169)(141,180)
6990        (142,182)(143,183)(144,167)(145,186)(148,189)(150,192)(151,194)
6991        (153,196)(156,199)(159,202)(160,204)(163,208)(164,210)(165,211)
6992        (171,216)(172,218)(173,200)(176,205)(178,222)(185,229)(187,231)
6993        (188,232)(190,235)(191,228)(193,225)(195,240)(197,243)(198,238)
6994        (201,247)(203,249)(206,252)(209,256)(212,259)(215,262)(217,263)
6995        (220,253)(221,261)(223,270)(224,255)(227,273)(230,276)(233,280)
6996        (234,282)(236,285)(237,287)(239,289)(241,268)(242,292)(244,295)
6997        (245,296)(248,300)(250,283)(251,266)(254,303)(258,307)(260,309)
6998        (264,312)(265,313)(267,288)(269,315)(271,294)(272,319)(274,293)
6999        (277,322)(278,324)(279,323)(281,328)(284,331)(290,334)(297,305)
7000        (298,337)(299,320)(304,341)(306,327)(308,344)(310,347)(311,348)
7001        (314,335)(316,349)(318,354)(321,356)(325,358)(326,360)(330,362)
7002        (332,352)(336,366)(338,351)(342,370)(343,361)(346,374)(350,363)
7003        (353,357)(355,378)(364,384)(368,387)(371,377)(373,390)(375,389)
7004        (379,381)(382,385)(383,394)(388,391)(393,397)(398,400),
7005      (  1,  2,  3,  5,  7)(  4,  6,  9, 13, 18)(  8, 11, 15, 21, 29)
7006        ( 10, 14, 19, 26, 37)( 12, 16, 23, 32, 45)( 17, 24, 34, 48, 66)
7007        ( 20, 27, 39, 55, 75)( 22, 30, 42, 60, 82)( 25, 35, 50, 68, 96)
7008        ( 28, 40, 57, 77,110)( 31, 43, 61, 84,120)( 33, 46, 64, 89, 95)
7009        ( 36, 51, 70, 99,137)( 38, 53, 73,104,122)( 41, 58, 79,113,152)
7010        ( 44, 62, 86,123,164)( 47, 65, 91,128,133)( 49, 67, 94,132,173)
7011        ( 52, 71,101,140,179)( 54, 74,106,144,185)( 56, 76,108,147,174)
7012        ( 59, 80,115,154,198)( 63, 87, 69, 97,134)( 72,102,141,181,225)
7013        ( 78,111,150,193,238)( 81,116,156,166,213)( 83,118,159,203,250)
7014        ( 85,121,163,209,257)( 88,125,119,160,205)( 90,126,167,100,138)
7015        ( 92,129,169,215,263)( 93,130,171,217,265)( 98,135,175,103,142)
7016        (105,143,184,228,252)(107,145,187,158,201)(109,148,190,236,286)
7017        (112,151,195,241,291)(114,153,197,244,249)(117,157,200,246,298)
7018        (124,165,212,260,310)(127,161,206,253,302)(131,172,219,267,314)
7019        (136,176,220,243,294)(139,178,223,271,318)(146,188,233,281,328)
7020        (149,191,237,288,332)(155,186,230,277,323)(162,207,254,304,211)
7021        (168,214,261,303,340)(170,189,234,283,330)(177,221,268,300,339)
7022        (180,224,196,242,293)(182,226,272,320,355)(183,227,274,240,290)
7023        (192,204,251,301,322)(194,239,199,245,297)(202,248,229,275,307)
7024        (208,255,305,342,371)(210,258,308,345,354)(216,264,295,336,331)
7025        (218,266,222,269,316)(231,278,325,359,348)(232,279,326,334,364)
7026        (235,284,270,317,353)(247,299,338,368,296)(256,306,343,372,389)
7027        (259,276,321,357,379)(262,311,349,376,287)(273,309,346,285,324)
7028        (280,327,358,312,350)(282,329,361,381,392)(289,333,363,383,395)
7029        (292,335,365,385,356)(313,351,315,352,377)(319,341,369,388,397)
7030        (337,367,378,347,375)(344,373,390,398,384)(360,380,370,387,396)
7031        (362,382,393,400,394)(366,386,374,391,399) ] ],
7032[ 5, 2317591180800, 1, "2", [ [ 399, 1 ] ], 2, "PSL(4, 7)",
7033  [ "L", [ 4, 7 ], 1 ],
7034  [ (  5,115,292,165,200,190)(  6,366,228, 37,285, 44)(  7,330,297, 41,232,183
7035         )(  8,220,205,340, 70, 53)(  9,123, 63, 12,352,353)( 10,320,212,111,
7036         270,134)( 11,276, 77,254,125, 91)( 13, 87,246,150,146, 17)
7037        ( 14, 94,128,257, 80,279)( 15,106,284,388,260,223)( 16,179,201,323,
7038         336,326)( 18,329, 59,153, 27,356)( 19,189,283,243,311, 42)
7039        ( 20,396,265)( 21,169,266,315,397, 49)( 23,339,198,209,236, 98)
7040        ( 24,204, 85,110,369,296)( 25,249,327, 79, 26,393)( 28,343,301,185,
7041         124, 71)( 29,303, 55,357, 30,273)( 31,167,364, 64, 38, 35)
7042        ( 32,335,309,227, 67, 95)( 33,281,224, 40,166,362)( 34,211,275,286,
7043         350,385)( 36,244,207,280,325, 74)( 39,178,129, 43,391,187)
7044        ( 45, 58,151,363,157,380)( 46,346,382,342,247,159)( 47,222,360,103,
7045         321,375)( 48,314,168)( 51,127,112, 69,240,210)( 52,136,331,345, 88,
7046         277)( 54,289, 86,195,381,109)( 56,235,158,194,221, 60)
7047        ( 57,180,278,318,268,160)( 61,139,251,394,141,172)( 62,295,171,144,
7048         384,225)( 65,312,104,163,258,333)( 66,334,259,164,105,313)
7049        ( 68,245,389,392,116, 82)( 72,120,174,319,370,338)( 73,214,387,114,
7050         395,162)( 75,107,130,191,216,310)( 76,196,386,378,149,241)
7051        ( 78,202,256,371, 83,274)( 81,376,361,322,215,365)( 84,135,287,182,
7052         126,102)( 89,367,119,379,399,302)( 90,193,154,347, 92,252)
7053        ( 93,298,117,147,148,337)( 96,208,261,188,293,377)( 97,231,305,217,
7054         101,359)( 99,113,155,328,234,145)(100,173,192,271,263,317)
7055        (108,250,161,294,255,152)(118,140,368,213,219,197)(121,355,373,349,
7056         218,354)(122,358,143,176,288,233)(131,341,374,262,237,344)
7057        (132,304,156,138,137,184)(133,203,175,351,242,299)(142,253,272,269,
7058         307,230)(177,291,199,186,332,264)(181,383,239,306,372,290)
7059        (206,390,226,308,324,400)(229,238,248,282,300,348),
7060      (  1,128,252,202,216,215, 73,349,185,108, 37, 36,206,355,306,255,343,
7061         328,143,363, 16, 15, 35,296,113,353, 41,201,200,291, 91,134,399,179,
7062         178, 38,267,266,265,257,381,102,136, 79,317,224,223,226, 77,300,274,
7063         147,209,362,361,167, 50, 49, 48,279,204,352,250,262, 40, 39, 64,289,
7064         241, 83,377,376, 42,373,337,130,129,308,132, 62, 88,253,249,351, 87,
7065         350,247,221,341,160,248, 60,225,336,335,313,312,364,347, 98,287,295,
7066         319,303,270,101, 18, 99,231,240, 56,155,  8,275,393, 96, 95,387, 11,
7067         180, 75, 74,400, 86,158,277,175,278,111, 23,366,365,199,184,176, 84,
7068         320,233,118,394,213,286, 82, 81,311,170,169,168, 14,125,152,123,382,
7069          57,359,181,159,299,203,338,301, 61, 45,389,388,177, 24,157,182,229,
7070         245,244,283,304,142,367,392,391,264,121,344,345,149, 97, 33, 32,375,
7071         110,140, 12,217,228,227,390,316,315,314,  4,  3,  2)(  5,164,163,243,
7072         154, 29,135,329,127,297,238, 30,282,326,325,114,156,305,119,383, 93,
7073         370,272,368,183,212,239,112,374,144,384,198,386,357,196,358,339,385,
7074         269,290, 27,153,100,151,117,188,187,222,137,327,310,309,189,398,397,
7075         396, 94,138, 52,126,210, 28,346,  7,116,115, 31,276, 46, 89,263,342,
7076         372, 53,340,251, 10,120, 26,268,208,207,103,195, 51,191,190,214, 85,
7077         173,161,246,261,260,334,333,324, 22, 21, 20, 80,218,302,379,234, 13,
7078          25,145,298,356, 55,131, 44, 43,332,109,232, 63,235, 71, 34,323,322,
7079         162, 54, 59,371,219,146,141,273,124,271,197,194,192,285,284, 47,254,
7080         133,  9,288,174,237,242,236,172,348,330,150,307,230,380,220,171, 68,
7081          67,259,258,186, 92,139, 78, 58,378,166,165, 66, 65,395, 90, 72,256,
7082         205,148, 69,293,292, 19,369, 17,107,106,105,104,360,193,211,294,281,
7083         280,321,354, 70,331,318,122, 76,  6) ] ],
7084[ 6, 4635182361600, 0, "2", [ [ 399, 1 ] ], 2, "PSL(4, 7).2",
7085  [ "L", [ 4, 7 ], 1 ],
7086  [ (  5, 43,284, 36,227,365)(  7,319, 25,270,173, 53)(  8,330,370,249,134,192
7087         )(  9,119,182, 78, 52,108)( 10,271,220,297,338,327)( 11,276, 77,254,
7088         125, 91)( 12,302, 84,371,345,294)( 13,290,386, 30,225, 46)
7089        ( 14, 94,128,257, 80,279)( 15,325,335,322,200,178)( 17,372,196,357,
7090         384,159)( 18, 34,176,278,213,374)( 19, 47,167,395,400,264)
7091        ( 20, 48,396,314,265,168)( 23,272,238,145,148,158)( 24,204, 85,110,
7092         369,296)( 26,212,317,340,232,120)( 27,350,358, 57,140,131)
7093        ( 28,240, 61,305,203, 45)( 29,295,382,246,383,149)( 31,114,324,332,
7094          42,375)( 32,361,165, 39,223,280)( 35,387,308,186,311,321)
7095        ( 38,214,226,199,243,103)( 41, 72, 79,320,263,205)( 51,251,101,351,
7096         151,301)( 54,289, 86,195,381,109)( 55,144,247,146,306, 76)
7097        ( 56,236,142,348,328,117)( 58,343,210,139,217,175)( 59,275,233,268,
7098         197,237)( 60,209,230,300,155,298)( 62,346, 87,181,378,273)
7099        ( 63,399,102,256,331,161)( 64, 73,390,291,283,360)( 65,312,104,163,
7100         258,333)( 67, 81,115,391,388,244)( 69,172,231,133,380, 71)
7101        ( 70,183,174,393,111,100)( 74,309,215,190,129,106)( 83, 88,255,352,
7102          89,135)( 90,193,154,347, 92,252)( 93,221,198,307,282,113)
7103        ( 95,376,292,187,260,207)( 97,299,157,124,112,141)( 98,253,229,234,
7104         147,235)( 99,337,194,339,269,248)(118,344,153,286,122,160)
7105        (121,355,373,349,218,354)(123,379,126,202,136,250)(127,394,359,242,
7106         363,185)(132,304,156,138,137,184)(143,180,368,341,356,385)
7107        (150,239,241,303,171,342)(152,353,367,287,274,277)(162,206,177,189,
7108         222,364)(211,288,318,219,262,329),
7109      (  1,128,252,202,216,215, 73,349,185,108, 37, 36,206,355,306,255,343,
7110         328,143,363, 16, 15, 35,296,113,353, 41,201,200,291, 91,134,399,179,
7111         178, 38,267,266,265,257,381,102,136, 79,317,224,223,226, 77,300,274,
7112         147,209,362,361,167, 50, 49, 48,279,204,352,250,262, 40, 39, 64,289,
7113         241, 83,377,376, 42,373,337,130,129,308,132, 62, 88,253,249,351, 87,
7114         350,247,221,341,160,248, 60,225,336,335,313,312,364,347, 98,287,295,
7115         319,303,270,101, 18, 99,231,240, 56,155,  8,275,393, 96, 95,387, 11,
7116         180, 75, 74,400, 86,158,277,175,278,111, 23,366,365,199,184,176, 84,
7117         320,233,118,394,213,286, 82, 81,311,170,169,168, 14,125,152,123,382,
7118          57,359,181,159,299,203,338,301, 61, 45,389,388,177, 24,157,182,229,
7119         245,244,283,304,142,367,392,391,264,121,344,345,149, 97, 33, 32,375,
7120         110,140, 12,217,228,227,390,316,315,314,  4,  3,  2)(  5,164,163,243,
7121         154, 29,135,329,127,297,238, 30,282,326,325,114,156,305,119,383, 93,
7122         370,272,368,183,212,239,112,374,144,384,198,386,357,196,358,339,385,
7123         269,290, 27,153,100,151,117,188,187,222,137,327,310,309,189,398,397,
7124         396, 94,138, 52,126,210, 28,346,  7,116,115, 31,276, 46, 89,263,342,
7125         372, 53,340,251, 10,120, 26,268,208,207,103,195, 51,191,190,214, 85,
7126         173,161,246,261,260,334,333,324, 22, 21, 20, 80,218,302,379,234, 13,
7127          25,145,298,356, 55,131, 44, 43,332,109,232, 63,235, 71, 34,323,322,
7128         162, 54, 59,371,219,146,141,273,124,271,197,194,192,285,284, 47,254,
7129         133,  9,288,174,237,242,236,172,348,330,150,307,230,380,220,171, 68,
7130          67,259,258,186, 92,139, 78, 58,378,166,165, 66, 65,395, 90, 72,256,
7131         205,148, 69,293,292, 19,369, 17,107,106,105,104,360,193,211,294,281,
7132         280,321,354, 70,331,318,122, 76,  6) ] ],
7133[ 7, 2959506090694963842708720844800000000, 0, "4c",
7134  [ [ 38, 1 ], [ 361, 1 ] ], 1, "Alt(20) wreath Sym(2)", [ "A", 20, 2 ],
7135  [ (  1, 72,316, 28,  4,132,318,288, 10,192,317,388,  7,332,305,368,  9,172,
7136         301, 68, 16, 32,304,128, 18,292,310,188, 17,392,307,328,  5,372,309,
7137         168)(  2,352,319, 88, 20,232,302,348, 19, 92,320,228)(  3,152,311, 48
7138         )(  6,112,314,268, 13,212,306,108, 14,272,313,208)(  8, 12,312,308)
7139        ( 11, 52,303,148)( 15,252,315,248)( 21, 64,136, 38,284,130,198,297,
7140         390,187,337,385,367,329,165,361, 69,176)( 22,344,139, 98,300,230,182,
7141         357,399, 87,340,225,362,349,179, 81, 80,236)( 23,144,131, 58,283,150,
7142         191, 57,383,147,331, 45,363,149,171, 41, 63,156, 31, 44,123,158,291,
7143          50,183,157,391, 47,323,145,371, 49,163,141, 71, 56)( 24,124,138,298,
7144         290,190,197,397,387,327,325,365,369,169,161, 61, 76, 36)
7145        ( 25,364,129,178,281, 70,196, 37,384,127,338,285,370,189,177,381, 67,
7146         336)( 26,104,134,278,293,210,186,117,394,267,333,205,366,109,174,261,
7147         73,216)( 27,324,125,378,289,170,181, 77,396)( 29,164,121, 78,296, 30,
7148         184,137,398,287,330,185,377,389,167,321, 65,376)( 33,204,126,118,294,
7149         270,193,217,386,107,334,265,373,209,166,101, 74,276)( 34,264,133,218,
7150         286,110,194,277,393,207,326,105,374,269,173,201, 66,116)
7151        ( 35,244,135,258,295,250,195,257,395,247,335,245,375,249,175,241, 75,
7152         256)( 39, 84,140,238,282,350,199, 97,400,227,322,345,379, 89,180,221,
7153         62,356)( 40,224,122,358,299, 90,200,237,382,347,339, 85,380,229,162,
7154         341, 79, 96)( 42,343,159, 91, 60,223,142,351, 59, 83,160,231)
7155        ( 43,143,151, 51)( 46,103,154,271, 53,203,146,111, 54,263,153,211)
7156        ( 55,243,155,251)( 82,360,239)( 86,120,234,262,353,219)
7157        ( 93,220,226,102,354,279)( 94,280,233,202,346,119)( 95,260,235,242,
7158         355,259)( 99,100,240,222,342,359)(106,114,274,273,213,206)
7159        (113,214,266)(115,254,275,253,215,246),
7160      (  1, 38, 91,316, 17, 33, 87,302, 14, 26,100,308, 12, 30, 81,318, 11,
7161          36, 97,313,  7, 22, 94,306, 20, 28, 92,310)(  2, 34, 86,320,  8, 32,
7162         90,301, 18, 31, 96,317, 13, 27, 82,314,  6, 40, 88,312, 10, 21, 98,
7163         311, 16, 37, 93,307)(  3, 24, 83,304)(  4, 23, 84,303)
7164        (  5, 35, 89,305, 15, 29, 85,315,  9, 25, 95,309)( 19, 39, 99,319)
7165        ( 41, 78,231, 56, 77,233, 47, 62,234, 46, 80,228, 52, 70,221, 58, 71,
7166         236, 57, 73,227, 42, 74,226, 60, 68,232, 50, 61,238, 51, 76,237, 53,
7167          67,222, 54, 66,240, 48, 72,230)( 43, 64,223, 44, 63,224)
7168        ( 45, 75,229)( 49, 65,235)( 55, 69,225)( 59, 79,239)(101,298,211,136,
7169         337,113,287,202,134,326,120,288,212,130,321,118,291,216,137,333,107,
7170         282,214,126,340,108,292,210,121,338,111,296,217,133,327,102,294,206,
7171         140,328,112,290,201,138,331,116,297,213,127,322,114,286,220,128,332,
7172         110,281,218,131,336,117,293,207,122,334,106,300,208,132,330)
7173        (103,284,203,124,323,104,283,204,123,324)(105,295,209,125,335,109,285,
7174         215,129,325,115,289,205,135,329)(119,299,219,139,339)
7175        (141,198,351,376,177,393,147,182,354,366,180,388,152,190,341,378,171,
7176         396,157,193,347,362,174,386,160,188,352,370,161,398,151,196,357,373,
7177         167,382,154,186,360,368,172,390)(142,194,346,380,168,392,150,181,358,
7178         371,176,397,153,187,342,374,166,400,148,192,350,361,178,391,156,197,
7179         353,367,162,394,146,200,348,372,170,381,158,191,356,377,173,387)
7180        (143,184,343,364,163,384)(144,183,344,363,164,383)(145,195,349,365,
7181         175,389)(149,185,355,369,165,395)(155,189,345,375,169,385)
7182        (159,199,359,379,179,399)(241,258,251,256,257,253,247,242,254,246,260,
7183         248,252,250)(243,244)(245,255,249)(261,278,271,276,277,273,267,262,
7184         274,266,280,268,272,270)(263,264)(265,275,269) ] ],
7185[ 8, 5919012181389927685417441689600000000, 0, "4c",
7186  [ [ 38, 1 ], [ 361, 1 ] ], 1, "Alt(20)^2.2^2", [ "A", 20, 2 ],
7187  [ (  1,152,102,180,253,206,358,230,388, 91, 39,324,369)(  2,172,113,220,258,
7188         226,348, 90,399,331, 29,  4,372,101,160,242,166,353,210,398,231, 28,
7189          84,379,321,149)(  3, 72,107,320,257,286,343, 70,387,311, 37,284,363,
7190         61,147,302,177,293,203, 78,227,308, 97,299,323, 69,  7,312,117,300,
7191         243, 66,347,310,397,291, 23, 64,367,301,157,282,163, 73,207,318,237,
7192         288, 83, 79,327,309, 17,292,103, 80,247,306,357,290,383, 71, 27,304,
7193         377,281,143, 62,167,313,217,298,223, 68, 87,319,337,289)
7194        (  5,272,105,280,245,266,345,270,385,271, 25,264,365,261,145,262,165,
7195         273,205,278,225,268, 85,279,325,269)(  6,352,110,400,251, 26,344,370,
7196         381,151, 22,164,373,201,158,222,168, 93,219,338,229,  8, 92,119,340,
7197         249)(  9, 12,112,120,260,246,346,350,390,391, 31, 24,364,361,141,142,
7198         162,173,213,218,238,228, 88, 99,339,329)( 10,392,111, 40,244,366,341,
7199         150,382,171, 33,204,378,221,148, 82,179,333,209, 18,232,108,100,259,
7200         326,349)( 11, 32,104,380,241,146,342,170,393,211, 38,224,368, 81,159,
7201         322,169, 13,212,118,240,248, 86,359,330,389)( 14, 52,115,200,256,126,
7202         354, 50,395,191, 36,124,374, 41,155,182,176,133,214, 58,235,188, 96,
7203         139,334, 49, 15,192,116,140,254, 46,355,190,396,131, 34, 44,375,181,
7204         156,122,174, 53,215,198,236,128, 94, 59,335,189, 16,132,114, 60,255,
7205         186,356,130,394, 51, 35,184,376,121,154, 42,175,193,216,138,234, 48,
7206          95,199,336,129)( 19,332,109, 20,252,106,360,250,386,351, 30,384,371,
7207         21,144,362,161,153,202,178,233,208, 98,239,328, 89)( 43, 75,187,316,
7208         137,294)( 45,275,185,276,125,274)( 47,315,197,296,123, 74)
7209        ( 54, 55,195,196,136,134)( 56,135,194)( 57,295,183, 76,127,314)
7210        ( 63, 67,307,317,297,283)( 65,267,305,277,285,263)( 77,287,303),
7211      (  1, 10,230,229, 29, 25,345,360,200,197,317,311, 51, 54, 74, 68,128,
7212         132, 92, 98,298,284,384,381)(  2,270,226,369, 22,265,346,380,182,277,
7213         306,371, 42,274, 66,368,122,272, 86,378,282,264,386,361)
7214        (  3,110,233,169, 36,205,355,160,183,117,313,171, 56,214, 75,148,123,
7215         112, 93,178,296,204,395,141)(  4,390,221,  9, 30,225,349, 40,185,357,
7216         320,191, 57,314, 71, 48,134, 72, 88,138,292, 84,398,281)
7217        (  5,350,240,189, 37,305,351, 60,194, 77,308,131, 52, 94, 78,288,124,
7218         392, 81, 18,290,224,389, 21)(  6,370,222,269, 26,365,342,280,186,377,
7219         302,271, 46,374, 62,268,126,372, 82,278,286,364,382,261)
7220        (  7,330,239,249, 27,325,359,260,187,337,319,251, 47,334, 79,248,127,
7221         332, 99,258,287,324,399,241)(  8,130,232, 89, 38,285,344,400,181, 17,
7222         310,231, 49, 34, 65,348,140,192, 97,318,291, 44,394, 61)
7223        ( 11, 50,234, 69, 28,125,352,100,198,297,304,391, 41, 14, 70,228,129,
7224          32, 85,358,300,184,397,301)( 12, 90,238,289, 24,385,341, 20,190,237,
7225         309, 31, 45,354, 80,188,137,312, 91, 58,294, 64,388,121)
7226        ( 13,170,236,209, 35,145,343,120,193,177,316,211, 55,154, 63,108,133,
7227         172, 96,218,295,144,383,101)( 15,150,223,109, 33,165,356,220,195,157,
7228         303,111, 53,174, 76,208,135,152, 83,118,293,164,396,201)
7229        ( 16,210,235,149, 23,105,353,180,196,217,315,151, 43,114, 73,168,136,
7230         212, 95,158,283,104,393,161)( 19,250,227,329, 39,245,347,340,199,257,
7231         307,331, 59,254, 67,328,139,252, 87,338,299,244,387,321)
7232        (102,273,166,376,202,275,146,363)(103,113,173,176,216,215,155,143)
7233        (106,373,162,276,206,375,142,263)(107,333,179,256,207,335,159,243)
7234        (115,153,163,116,213,175,156,203)(119,253,167,336,219,255,147,323)
7235        (242,267,326,379)(246,367,322,279)(247,327,339,259)(262,266,366,362)
7236     ] ],
7237[ 9, 5919012181389927685417441689600000000, 0, "4c",
7238  [ [ 38, 1 ], [ 361, 1 ] ], 1, "Alt(20)^2.4", [ "A", 20, 2 ],
7239  [ (  1, 87, 30,118,168,369,337,303,213,264,285)(  2,347, 39,398,180, 49,331,
7240         123,212,224,286,181, 96,250,102,348,379,397,320, 53,271,125, 12,227,
7241          26,198,176,249,322,343,219,384,300, 41, 91,130,112,228,366,197,316,
7242         253,262,345, 19,387, 40, 58,171,129,332,223,206,184,296,241, 82,350,
7243         119,388,380, 57,311,133,272,225,  6,187, 36,258,162,349,339,383,220,
7244          44,291,121, 92,230,106,188,376,257,302,353,279,385, 20, 47, 31,138,
7245         172,229,326,183,216,244,282,341, 99,390,120, 48,371,137,312,233,266,
7246         185, 16,247, 22,358,179,389,340, 43,211,124,292,221, 86,190,116,248,
7247         362,357,319,393,280, 45, 11,127, 32,238,166,189,336,243,202,344,299,
7248         381,100, 50,111,128,372,237,306,193,276,245)(  3,207, 24,298,161, 89,
7249         330,103,208,364,297,301, 93,270,105,  8,367, 37,318,173,269,325)
7250        (  4,287, 21, 98,170,109,328,363,217,304,293,261, 85, 10,107, 28,378,
7251         177,309,333,263,205)(  5,  7, 27, 38,178,169,329,323,203,204,284,281,
7252         81, 90,110,108,368,377,317,313,273,265)(  9,327, 23,218,164,289,321,
7253          83,210,104,288,361, 97,310,113,268,365, 17,307, 33,278,165)
7254        ( 13,267, 25, 18,167, 29,338,163,209,324,283,201, 84,290,101, 88,370,
7255         117,308,373,277,305)( 14,147, 35, 78,174,149,335, 63,214,144,295, 61,
7256         94,150,115, 68,374,157,315, 73,274,145, 15, 67, 34,158,175, 69,334,
7257         143,215, 64,294,141, 95, 70,114,148,375, 77,314,153,275, 65)
7258        ( 42,351,139,392,240, 46,191,136,252,222,346,199,396,260)
7259        ( 51,131,132,232,226,186,196,256,242,342,359,399,400, 60)
7260        ( 52,231,126,192,236,246,182,356,259,382,360, 59,391,140)
7261        ( 54,151,135, 72,234,146,195, 76,254,142,355, 79,394,160, 55, 71,134,
7262         152,235, 66,194,156,255, 62,354,159,395, 80)( 56,251,122,352,239,386,
7263         200)( 74,154,155, 75),
7264      (  1,107, 26,130, 65, 14,387, 32,230, 64,294,381,112,226,124,285)
7265        (  2,347, 39,250, 62,354,399,252,222,344,299,241,102,346,139,245)
7266        (  3,147, 31,190, 75, 94,388,372,237,304,289,321,103,146,131,185, 15,
7267          87, 28,370, 77,314,389,332,223,144,291,181,115, 86,128,365, 17,307,
7268          29,330, 63,154,391,192,235, 84,288,361,117,306,129,325)
7269        (  4,287, 21,110, 66,134,385, 12,227, 24,290, 61,114,386,132,225)
7270        (  5,  7, 27, 30, 70, 74,394,392,232,224,284,281,101,106,126,125)
7271        (  6,127, 25, 10, 67, 34,390, 72,234,384,292,221,104,286,121,105)
7272        (  8,367, 37,310, 69,334,383,152,231,184,295, 81,108,366,137,305,  9,
7273         327, 23,150, 71,194,395, 92,228,364,297,301,109,326,123,145, 11,187,
7274          35, 90, 68,374,397,312,229,324,283,141,111,186,135, 85)
7275        ( 13,207, 38,270, 80, 54,393,212,238,264,300, 41,113,206,138,265, 20,
7276          47, 33,210, 78,274,400, 52,233,204,298,261,120, 46,133,205, 18,267,
7277          40, 50, 73,214,398,272,240, 44,293,201,118,266,140, 45)
7278        ( 16,167, 36,170, 76,174,396,172,236,164,296,161,116,166,136,165)
7279        ( 19,247, 22,350, 79,254,382,352,239,244,282,341,119,246,122,345)
7280        ( 42,353,219,258,262,360, 59,253,202,358,279,260)( 43,153,211,198,275,
7281         100, 48,373,217,318,269,340)( 49,333,203,158,271,200, 55, 93,208,378,
7282         277,320)( 51,193,215, 98,268,380, 57,313,209,338,263,160)
7283        ( 53,213,218,278,280, 60)( 56,173,216,178,276,180)( 58,273,220)
7284        ( 82,348,379,257,302,349,339,243,142,351,199,255)( 83,148,371,197,315,
7285         89,328,363,157,311,189,335)( 88,368,377,317,309,329,323,143,151,191,
7286         195, 95)( 91,188,375, 97,308,369,337,303,149,331,183,155)
7287        ( 96,168,376,177,316,169,336,163,156,171,196,175)( 99,248,362,357,319,
7288         249,322,343,159,251,182,355)(162,356,179,256)(242,342,359,259) ] ],
7289[ 10, 11838024362779855370834883379200000000, 0, "4c",
7290  [ [ 38, 1 ], [ 361, 1 ] ], 1, "Sym(20) wreath Sym(2)", [ "A", 20, 2 ],
7291  [ (  1,212,239, 86, 62,196,324,153, 35,285,169,377,260,121,272,119,346,302,
7292         396,  4,213,235, 85, 69,197,340,141, 32,299,166,362,256,124,273,115,
7293         345,309,397, 20,201,232, 99, 66,182,336,144, 33,295,165,369,257,140,
7294         261,112,359,306,382, 16,204,233, 95, 65,189,337,160, 21,292,179,366,
7295         242,136,264,113,355,305,389, 17,220,221, 92, 79,186,322,156, 24,293,
7296         175,365,249,137,280,101,352,319,386,  2,216,224, 93, 75,185,329,157,
7297          40,281,172,379,246,122,276,104,353,315,385,  9,217,240, 81, 72,199,
7298         326,142, 36,284,173,375,245,129,277,120,341,312,399,  6,202,236, 84,
7299          73,195,325,149, 37,300,161,372,259,126,262,116,344,313,395,  5,209,
7300         237,100, 61,192,339,146, 22,296,164,373,255,125,269,117,360,301,392,
7301          19,206,222, 96, 64,193,335,145, 29,297,180,361,252,139,266,102,356,
7302         304,393, 15,205,229, 97, 80,181,332,159, 26,282,176,364,253,135,265,
7303         109,357,320,381, 12,219,226, 82, 76,184,333,155, 25,289,177,380,241,
7304         132,279,106,342,316,384, 13,215,225, 89, 77,200,321,152, 39,286,162,
7305         376,244,133,275,105,349,317,400)(  3,211,238, 83, 71,198,323,151, 38,
7306         283,171,378,243,131,278,103,351,318,383, 11,218,223, 91, 78,183,331,
7307         158, 23,291,178,363,251,138,263,111,358,303,391, 18,203,231, 98, 63,
7308         191,338,143, 31,298,163,371,258,123,271,118,343,311,398)
7309        (  7,210,228, 94, 67,190,328,154, 27,290,168,374,247,130,268,114,347,
7310         310,388, 14,207,230, 88, 74,187,330,148, 34,287,170,368,254,127,270,
7311         108,354,307,390,  8,214,227, 90, 68,194,327,150, 28,294,167,370,248,
7312         134,267,110,348,314,387, 10,208,234, 87, 70,188,334,147, 30,288,174,
7313         367,250,128,274,107,350,308,394)( 41, 52, 59, 46, 42, 56, 44, 53, 55,
7314         45, 49, 57, 60)( 43, 51, 58)( 47, 50, 48, 54),
7315      (  1,336,255,197,203,301,324,395,189, 83,313, 44,392,129, 98,233, 54,
7316         272,131,118,226,154,268, 11,116,246,157,208)(  2, 76,259, 37,202, 61,
7317         339, 35,182, 63,319, 24,382, 69, 99, 33, 42, 72,139, 38,222, 74,279,
7318          31,102, 66,159, 28)(  3,316,244,397,209, 81,333, 55,192,123,318,224,
7319         394,269, 91,113, 46,152,128, 18,236,254,277,211,101,326,155,188)
7320        (  4,396,249, 97,213, 41,332,135,198,223,314,264,391,109, 86,153, 48,
7321          12,136,258,237,214,261,331,115,186,143,308)(  5,356,245,357,205,341,
7322         325,355,185,343,305,344,385,349, 85,353, 45,352,125,358,225,354,265,
7323         351,105,346,145,348)(  6,156,248, 17,216,241,337,215,181,323,315,184,
7324         383,309, 84,393, 49, 92,133, 58,232,134,278,231,114,266,151,108)
7325        (  7,376,260,177,207,361,340,175,187,363,320,164,387,369,100,173, 47,
7326         372,140,178,227,374,280,171,107,366,160,168)(  8, 16,256,257,217,201,
7327         321,335,195,183,303,304,384,389, 89, 93, 53, 52,132,138,238,234,274,
7328         271,111,106,146,148)(  9, 96,253, 57,212,121,338,235,194,263,311,104,
7329         386,149, 88, 13, 56,252,137,218,221,334,275,191,103,306,144,388)
7330        ( 10,296,250,297,210,281,330,295,190,283,310,284,390,289, 90,293, 50,
7331         292,130,298,230,294,270,291,110,286,150,288)( 14,276,251,117,206,141,
7332         328, 15,196,243,317,204,381,329, 95,193, 43,312,124,398,229, 94,273,
7333          51,112,126,158,228)( 19, 36,242, 77,219, 21,322, 75,199, 23,302, 64,
7334         399, 29, 82, 73, 59, 32,122, 78,239, 34,262, 71,119, 26,142, 68)
7335        ( 20,176,247,377,220,161,327,375,200,163,307,364,400,169, 87,373, 60,
7336         172,127,378,240,174,267,371,120,166,147,368)( 22, 62, 79, 39)
7337        ( 25,342, 65,359)( 27,362, 80,179)( 30,282, 70,299)( 40,162, 67,379)
7338        (165,347,365,360)(167,367,380,180)(170,287,370,300)(285,350) ] ],
7339[ 11, 23392800, 0, "4c", [ [ 38, 1 ], [ 361, 1 ] ], 1,
7340  "PSL(2, 19) wreath Sym(2)", [ "L", [ 2, 19 ], 2 ],
7341  [ (  1, 91,135,176,257)(  2,100,134,173,245)(  3, 89,124,166,248)
7342        (  4, 86,128,163,249)(  5, 82,140,174,253)(  6, 88,123,169,244)
7343        (  7, 99,138,172,250)(  8, 83,129,164,246)(  9, 84,126,168,243)
7344        ( 10, 87,139,178,252)( 11, 95,136,177,241)( 12, 90,127,179,258)
7345        ( 13, 85,122,180,254)( 14, 93,125,162,260)( 15, 96,137,161,251)
7346        ( 16, 97,121,171,255)( 17, 81,131,175,256)( 18, 92,130,167,259)
7347        ( 19, 98,132,170,247)( 20, 94,133,165,242)( 21,151,335,116,237)
7348        ( 22,160,334,113,225)( 23,149,324,106,228)( 24,146,328,103,229)
7349        ( 25,142,340,114,233)( 26,148,323,109,224)( 27,159,338,112,230)
7350        ( 28,143,329,104,226)( 29,144,326,108,223)( 30,147,339,118,232)
7351        ( 31,155,336,117,221)( 32,150,327,119,238)( 33,145,322,120,234)
7352        ( 34,153,325,102,240)( 35,156,337,101,231)( 36,157,321,111,235)
7353        ( 37,141,331,115,236)( 38,152,330,107,239)( 39,158,332,110,227)
7354        ( 40,154,333,105,222)( 41,291,395,316,197)( 42,300,394,313,185)
7355        ( 43,289,384,306,188)( 44,286,388,303,189)( 45,282,400,314,193)
7356        ( 46,288,383,309,184)( 47,299,398,312,190)( 48,283,389,304,186)
7357        ( 49,284,386,308,183)( 50,287,399,318,192)( 51,295,396,317,181)
7358        ( 52,290,387,319,198)( 53,285,382,320,194)( 54,293,385,302,200)
7359        ( 55,296,397,301,191)( 56,297,381,311,195)( 57,281,391,315,196)
7360        ( 58,292,390,307,199)( 59,298,392,310,187)( 60,294,393,305,182)
7361        ( 61,351,275,376,217)( 62,360,274,373,205)( 63,349,264,366,208)
7362        ( 64,346,268,363,209)( 65,342,280,374,213)( 66,348,263,369,204)
7363        ( 67,359,278,372,210)( 68,343,269,364,206)( 69,344,266,368,203)
7364        ( 70,347,279,378,212)( 71,355,276,377,201)( 72,350,267,379,218)
7365        ( 73,345,262,380,214)( 74,353,265,362,220)( 75,356,277,361,211)
7366        ( 76,357,261,371,215)( 77,341,271,375,216)( 78,352,270,367,219)
7367        ( 79,358,272,370,207)( 80,354,273,365,202),
7368      (  1,179, 96,337,210,145,391,115,354,281,163, 16,339, 90,157,211,105,
7369         394,295,343)(  2,199, 88, 77,218,125,386,235,344,241,180,276,329,370,
7370         152, 31,113,314,287, 43)(  3, 19, 99, 97,217,205,385,395,355,341,161,
7371         176,336,330,150,151,111,114,294,283)(  4,259,100,277,209,365,392, 35,
7372         353,301,167, 56,322,190,148, 71,118,134,286,223)(  5,399, 95,357,201,
7373         165,396,335,350,141,171,116,334,290,143, 11,119, 94,297,203)
7374        (  6,239, 84,257,220,265,389,375,352, 21,173,316,327, 50,142,191,108,
7375          74,298,123)(  7, 59, 82,197,208, 65,398,135,346,221,164,256,340,270,
7376         149,371,112, 34,293,303)(  8, 79, 98,137,206,225,384,255,360,261,169,
7377         376,332, 30,153,311,107, 54,282,183)(  9,379, 92, 37,213,305,387, 55,
7378         342,181,168, 76,338,130,146,231,104,254,300,263)( 10,159, 91,117,214,
7379         285,383, 15,359, 81,177,216,325,390,155,351,101,174,296,323)
7380        ( 12, 39, 93,317,207, 45,382,195,348, 61,178,136,326,230,144,251,120,
7381         274,289,363)( 13,319, 87, 57,202,185,388, 75,358,121,166,236,324,250,
7382         160,271,109,374,292, 23)( 14,299, 83, 17,219, 85,397,215,345,381,175,
7383         356,321,170,156,331,110,154,291,103)( 18,139, 86,237,204,245,400,275,
7384         349,361,172, 36,333,310,147, 51,102,194,288, 63)( 20,279, 89,377,212,
7385         25,393,315,347, 41,162,196,328, 70,158,131,106,234,284,243)
7386        ( 22,193,308, 67, 58,122,186,228, 64,258,140,266,229,364,252, 40,273,
7387         309,367, 52)( 24,253,320,267, 49,362,192, 28, 73,318,127, 46,222,184,
7388         248, 80,278,129,366,232)( 26,233,304,247, 60,262,189,368, 72, 38,133,
7389         306,227, 44,242,200,268, 69,378,132)( 27, 53,302,187, 48, 62,198,128,
7390         66,238,124,246,240,264,249,380,272, 29,373,312)( 32, 33,313,307, 47,
7391          42,182,188, 68, 78,138,126,226,224,244,260,280,269,369,372) ] ],
7392[ 12, 46785600, 0, "4c", [ [ 38, 1 ], [ 361, 1 ] ], 1, "PSL(2, 19)^2.2^2",
7393  [ "L", [ 2, 19 ], 2 ],
7394  [ (  1,273, 57,167,226,148, 69,131,250, 40,284,376,119, 94,385,342,315,212,
7395         183,338)(  2,313, 52,187,238,  8, 73, 51,247,240,288, 76,111,254,400,
7396         282,316,112,194,398)(  3,333, 41,267,237,168, 66,151,249,140,290, 36,
7397         104,374,399, 82,305,352,195,218)(  4,373, 59, 87,225,348, 75,211,243,
7398         340,281,276,117,174,386,142,309,132,190, 38)(  5,353, 55,207,223,328,
7399         61,271,257,180,286,156,109,134,390, 22,304,372,199, 98)
7400        (  6,153, 49,127,230, 28, 64,371,259,100,285,356,115,214,383,322,301,
7401         272,197,178)(  7,233, 48, 67,231,248, 80,291,256,120,294,396,102,314,
7402         392,182,318, 12,193, 58)(  9,133, 50, 27,224,368, 79, 91,245,360,295,
7403         216,103,334,381,262,317,172,186,158)( 10, 33, 44,367,239, 88, 65,351,
7404         255,220,283,336,101,274,397,162,306,152,189,138)( 11,253, 60,287,236,
7405         108, 74,391,242,320,292,196,118, 14,393, 42,307,232,188, 78)
7406        ( 13, 53, 47,227,228, 68, 71,251,260,300,296,116,114,394,382,302,312,
7407         192,198, 18)( 15,213, 43,327,221,268, 77,171,246,160,289,136,110, 34,
7408         384,362,319, 92,185,358)( 16,113, 54,387,222,308, 72,191,258, 20,293,
7409         56,107,234,388, 62,311,252,200,298)( 17,173, 46,147,229,128, 70, 31,
7410         244,380,299, 96,105,354,395,202,303,332,181,278)( 19, 93, 45,347,235,
7411         208, 63,331,241,280,297,176,106,154,389,122,310, 32,184,378)
7412        ( 21,264,377,179, 86,145,349,135,210, 23,324,361,279, 97,165,346,155,
7413         209,123,330)( 24,364,379, 99, 85,345,355,215,203,323,321,261,277,177,
7414         166,146,149,129,130, 30)( 25,344,375,219, 83,325,341,275,217,163,326,
7415         141,269,137,170, 26,144,369,139, 90)( 29,124,370, 39, 84,365,359, 95,
7416         205,343,335,201,263,337,161,266,157,169,126,150)( 35,204,363,339, 81,
7417         265,357,175,206,143,329,121,270, 37,164,366,159, 89,125,350),
7418      (  1,135,117,222,348, 96,374,273,145,292)(  2,355,116,362,353,156,372,
7419          13,155,112)(  3,315,118, 62,351,216,364,253,159,192)
7420        (  4,255,119,182,343,316,378, 73,151,212)(  5,295,101,122,357,236,368,
7421         93,154,272)(  6,175,120,322,347, 56,370,393,149, 32)(  7, 55,110,382,
7422         349, 36,366,173,160,332)(  8, 95,114,262,345,296,361,133,157,232)
7423        (  9, 35,106,162,360,336,367, 53,150,392)( 10,395,109, 22,346,176,380,
7424         333,147, 52)( 11,215,104,242,359,196,363,313,158, 72)
7425        ( 12, 15,115,102,342,356,376,373,153,152)( 14,275,105,282,341,136,377,
7426         233,148, 92)( 16,375,113,142,352)( 17,235,108, 82,354,276,365,293,
7427         141,132)( 18, 75,111,202,344,256,379,193,143,312)( 19,195,103,302,
7428         358, 76,371,213,144,252)( 20,335,107, 42,350,396,369, 33,146,172)
7429        ( 21,126,177,240,328, 87, 54,270,385,289)( 23,306,178, 80,331,207, 44,
7430         250,399,189)( 24,246,179,200,323,307, 58, 70,391,209)
7431        ( 25,286,161,140,337,227, 48, 90,394,269)( 26,166,180,340,327, 47, 50,
7432         390,389, 29)( 27, 46,170,400,329)( 28, 86,174,280,325,287, 41,130,
7433         397,229)( 30,386,169, 40,326,167, 60,330,387, 49)( 31,206,164,260,
7434         339,187, 43,310,398, 69)( 34,266,165,300,321,127, 57,230,388, 89)
7435        ( 37,226,168,100,334,267, 45,290,381,129)( 38, 66,171,220,324,247, 59,
7436         190,383,309)( 39,186,163,320,338, 67, 51,210,384,249)
7437        ( 61,131,217,224,248, 99,194,263,305,298)( 63,311,218, 64,251,219,184,
7438         243,319,198)( 65,291,201,124,257,239,188, 83,314,278)
7439        ( 68, 91,214,264,245,299,181,123,317,238)( 71,211,204,244,259,199,183,
7440         303,318, 78)( 74,271,205,284,241,139,197,223,308, 98)
7441        ( 77,231,208, 84,254,279,185,283,301,138)( 79,191,203,304,258)
7442        ( 81,134,277,225,288)( 85,294,261,125,297,221,128, 97,234,268)
7443        ( 88, 94,274,265,285,281,121,137,237,228) ] ],
7444[ 13, 46785600, 0, "4c", [ [ 38, 1 ], [ 361, 1 ] ], 1, "PSL(2, 19)^2.4",
7445  [ "L", [ 2, 19 ], 2 ],
7446  [ (  1,204,111,181,219, 71,187,339, 77, 47,334,377, 43,394,368,123,382,348,
7447         140,302,352,280,305, 92,269,225, 93,249,226,173,258,286,176,158,290,
7448          36,155, 10, 24,115)(  2,344,120,301,212,271,185, 99, 69,227,333,257,
7449         46,174,378,283,396,148,130, 22,355, 20,304,112,261,205, 91,189,239,
7450          73,247,326,177, 58,294,376,143,390, 28,135)(  3,384,108,121,202,351,
7451         200,319, 72,267,325, 97, 49,234,373,243,386,168,138,282,356,160,310,
7452          32,275,  5, 84,109,221,213,251,186,179, 78,287,336,157, 50, 34,375)
7453        (  4,104,101,201,211,191,199, 79, 67,327,337, 57, 54,374,363,383,388,
7454         128,122,342,360,320,312,272,265, 85, 89,229,233,253,246,166,178,298,
7455         296,156,150, 30, 35, 15)(  6,164,118,281,216,151,190, 39, 75,  7,324,
7456         117, 41,214,371,183,399, 68,127,322,357, 60,314,372,263,385, 88,129,
7457         222,353,260,306,172,278,285, 96,149,230, 33,255)(  8,124,102,341,220,
7458         311,192,279, 65, 87,329,237, 53,254,366,163,398,288,136,142,350, 40,
7459         315, 12,264,105, 81,209,231,193,259, 66,167,338,297, 56,154,370, 23,
7460         395)(  9,224,113,241,206,171,198,299, 76,147,330, 37, 55, 14,364,103,
7461         381,208,131,182,359, 80,307,332,277, 45, 94,369,223,393,248,126,162,
7462         358,300,316,152,270, 25, 95)( 11,184,119, 61,207,331,197, 59, 74,367,
7463         323,397, 48,134,362,343,400,308,132,262,345,100,309,232,273,245, 86,
7464         169,238,293,256,146,170, 38,295, 16,144,110, 21,215)( 13,244,106,161,
7465         218,291,196,159, 70, 27,335, 17, 44,114,361,203,391,188,139, 62,347,
7466         340,317, 52,274,365, 83,389,228,133,242,346,180,318,292,276,145, 90,
7467          29,235)( 18,284,116,141,210, 31,195, 19, 64,107,321,217, 51,194,379,
7468         63,387,328,137, 42,354,380,303,392,268,125, 82,349,240,313,252,266,
7469         165, 98,289,236,153,250, 26,175),
7470      (  1,  6,386,396,116,111,331,334, 74, 65,225,227,187,189, 89,100,280,
7471         263,163,178,138,128,288,293, 33, 30,250,259,379,377,357,355,215,204,
7472         144,141)(  2, 46,382, 56,102, 51,322, 54, 62, 45,222, 47,182, 49, 82,
7473         60,262, 43,162, 58,122, 48,282, 53, 22, 50,242, 59,362, 57,342, 55,
7474         202, 44,142, 41)(  3,166,398,136,108,291,333, 34, 70,245,239,367,197,
7475         349, 95,220,264,143,161, 18,126,388,296,113, 31,330,254, 79,365,237,
7476         347,195,209, 84,160,261)(  4,146,381, 16,106,391,336,114, 71,325,234,
7477         67,185,229, 87,200,269, 83,180,278,123,168,298,133, 28,290,253, 39,
7478         370,257,359,375,217,344,155,201)(  5,226,387,196,109, 91,340,274, 63,
7479         165,238,127,188,289, 93, 40,270,243,179,378,137,348,295,213, 24,150,
7480         241, 19,366,397,356,115,211,324,154, 61)(  7,186,389, 96,120,271,323,
7481         174, 78,125,228,287,193, 29, 90,260,279,363,177,358,135,208,284,153,
7482          21, 10,246,399,376,117,351,335,214, 64,145,221)(  8,286,393, 36,110,
7483         251,339,374, 77,345,235,207,184,149, 81, 20,266,383,176,118,131,328,
7484         294, 73, 25,230,247,199,369, 97,360,275,203,164,158,121)
7485        (  9, 86,400,276,103,171,338,134, 68,285,233, 27,190,249, 99,380,277,
7486         343,175,218,124,148,281, 13, 26,390,256,119,371,337,354, 75,205,224,
7487         147,181)( 11,326,394, 76,105,231,327,194, 69, 85,240,267,183,169, 98,
7488         140,268,283,173, 38,130,248,299,373, 37,350,255,219,364,157,341, 15,
7489         206,384,156,101)( 12,306,392,316,112,311,332,314, 72,305,232,307,192,
7490         309, 92,320,272,303,172,318,132,308,292,313, 32,310,252,319,372,317,
7491         352,315,212,304,152,301)( 14, 66,385,236,107,191,329, 94, 80,265,223,
7492         167,198,129, 88,300,273, 23,170,258,139,368,297,353, 35,210,244,159,
7493         361, 17,346,395,216,104,151,321)( 52,302) ] ],
7494[ 14, 93571200, 0, "4c", [ [ 38, 1 ], [ 361, 1 ] ], 1,
7495  "PGL(2, 19) wreath Sym(2)", [ "L", [ 2, 19 ], 2 ],
7496  [ (  1,  8, 13, 17,  9, 19, 15, 12, 14,  3)(  2,  6, 11, 18, 16,  5,  7,  4,
7497         20, 10)( 21,108, 53,137,269,299, 35,112, 54,123,261,288, 33,117, 49,
7498         139,275,292, 34,103, 41,128,273,297, 29,119, 55,132,274,283)
7499        ( 22,106, 51,138,276,285, 27,104, 60,130,262,286, 31,118, 56,125,267,
7500         284, 40,110, 42,126,271,298, 36,105, 47,124,280,290)( 23,101, 48,133,
7501         277,289, 39,115, 52,134,263,281, 28,113, 57,129,279,295, 32,114, 43,
7502         121,268,293, 37,109, 59,135,272,294)( 24,120, 50,122,266,291, 38,116,
7503         45,127,264,300, 30,102, 46,131,278,296, 25,107, 44,140,270,282, 26,
7504         111, 58,136,265,287)( 61,388,373,337,209,259, 75,392,374,323,201,248,
7505         73,397,369,339,215,252, 74,383,361,328,213,257, 69,399,375,332,214,
7506         243)( 62,386,371,338,216,245, 67,384,380,330,202,246, 71,398,376,325,
7507         207,244, 80,390,362,326,211,258, 76,385,367,324,220,250)
7508        ( 63,381,368,333,217,249, 79,395,372,334,203,241, 68,393,377,329,219,
7509         255, 72,394,363,321,208,253, 77,389,379,335,212,254)( 64,400,370,322,
7510         206,251, 78,396,365,327,204,260, 70,382,366,331,218,256, 65,387,364,
7511         340,210,242, 66,391,378,336,205,247)( 81,308,353,237,189,179, 95,312,
7512         354,223,181,168, 93,317,349,239,195,172, 94,303,341,228,193,177, 89,
7513         319,355,232,194,163)( 82,306,351,238,196,165, 87,304,360,230,182,166,
7514         91,318,356,225,187,164,100,310,342,226,191,178, 96,305,347,224,200,
7515         170)( 83,301,348,233,197,169, 99,315,352,234,183,161, 88,313,357,229,
7516         199,175, 92,314,343,221,188,173, 97,309,359,235,192,174)
7517        ( 84,320,350,222,186,171, 98,316,345,227,184,180, 90,302,346,231,198,
7518         176, 85,307,344,240,190,162, 86,311,358,236,185,167)(141,148,153,157,
7519         149,159,155,152,154,143)(142,146,151,158,156,145,147,144,160,150),
7520      (  1,141,155, 35, 30, 70, 78,278,280,120,104,164,167,187,186,346,345,
7521         325,328,228,232,212,214,374,362,382,397, 57, 51,291,289, 89, 96,136,
7522         123,  3)(  2,381,157, 55, 31,290, 69, 98,276,140,103,  4,161,147,195,
7523         26,350, 65,338,268,240,112,204,174,367,182,386,357, 45,331,288,229,
7524          92,216,134,363)(  5,321,148,235, 32,210, 74,378,262,400,117, 44,171,
7525         287,189, 86,356,125,323,  8,221,152,215, 34,370, 62,398,277, 60,111,
7526         284,169, 87,196,126,343)(  6,341,145,335, 28,230, 72,218,274,380,102,
7527         384,177, 47,191,286,349, 85,336,128,223, 12,201,154,375, 22,390, 77,
7528          58,271,300,109, 84,176,127,183)(  7,181,146,355, 25,330, 68,238,272,
7529         220,114,364,162,387,197, 46,351,285,329, 88,236,132,203, 14,361,142,
7530         395, 37, 50, 71,298,269,100,116,124,163)(  9, 81,156,135, 23, 10, 61,
7531         158,275, 40,110, 64,178,267,200,106,344,165,327,188,226,352,205,334,
7532         368,222,392,217, 54,371,282,389, 97, 56,131,283)( 11,281,149, 95, 36,
7533         130, 63, 18,261,160,115, 24,170, 67,198,266,360,105,324,168,227,192,
7534         206,354,365,322,388,237, 52,211,294,369, 82,396,137, 43)
7535        ( 13,301,153,315, 33,310, 73,318,273,320,113,304,173,307,193,306,353,
7536         305,333,308,233,312,213,314,373,302,393,317, 53,311,293,309, 93,316,
7537         133,303)( 15, 21,150, 75, 38,270, 80,118,264,180,107,184,166,347,185,
7538         326,348,225,332,208,234,372,202,394,377, 42,391,297, 49, 91,296,129,
7539          83, 16,121,143)( 17, 41,151,295, 29, 90, 76,138,263, 20,101,144,175,
7540         27,190, 66,358,265,340,108,224,172,207,194,366,342,385,337, 48,231,
7541         292,209, 94,376,122,383)( 19,241,159,255, 39,250, 79,258,279,260,119,
7542         244,179,247,199,246,359,245,339,248,239,252,219,254,379,242,399,257,
7543          59,251,299,249, 99,256,139,243)(253,319) ] ],
7544[15, Factorial(400)/2,1,"2",[[399,1]],398, "Alt(400)", ["A",400, 1], "Alt"],
7545[16, Factorial(400),0,"2",[[399, 1]],400, "Sym(400)", ["A",400, 1], "Sym"]];
7546PRIMGRP[401]:=
7547[[1, Factorial(401)/2,1,"2",[[400,1]],399, "Alt(401)", ["A",401, 1], "Alt"],
7548[2, Factorial(401),0,"2",[[400, 1]],401, "Sym(401)", ["A",401, 1], "Sym"],
7549[ 3, 401, 3, "1", [ [ 1, 400 ] ], 1, "C(401)", [ "Z", 401, 1 ], [  ] ],
7550[ 4, 802, 2, "1", [ [ 2, 200 ] ], 1, "D(2*401)", [ "Z", 401, 1 ],
7551  [ [ [ Z(401)^200 ] ] ] ],
7552[ 5, 1604, 2, "1", [ [ 4, 100 ] ], 1, "401:4", [ "Z", 401, 1 ],
7553  [ [ [ Z(401)^100 ] ] ] ],
7554[ 6, 2005, 2, "1", [ [ 5, 80 ] ], 1, "401:5", [ "Z", 401, 1 ],
7555  [ [ [ Z(401)^80 ] ] ] ],
7556[ 7, 3208, 2, "1", [ [ 8, 50 ] ], 1, "401:8", [ "Z", 401, 1 ],
7557  [ [ [ Z(401)^50 ] ] ] ],
7558[ 8, 4010, 2, "1", [ [ 10, 40 ] ], 1, "401:10", [ "Z", 401, 1 ],
7559  [ [ [ Z(401)^40 ] ] ] ],
7560[ 9, 6416, 2, "1", [ [ 16, 25 ] ], 1, "401:16", [ "Z", 401, 1 ],
7561  [ [ [ Z(401)^25 ] ] ] ],
7562[ 10, 8020, 2, "1", [ [ 20, 20 ] ], 1, "401:20", [ "Z", 401, 1 ],
7563  [ [ [ Z(401)^20 ] ] ] ],
7564[ 11, 10025, 2, "1", [ [ 25, 16 ] ], 1, "401:25", [ "Z", 401, 1 ],
7565  [ [ [ Z(401)^16 ] ] ] ],
7566[ 12, 16040, 2, "1", [ [ 40, 10 ] ], 1, "401:40", [ "Z", 401, 1 ],
7567  [ [ [ Z(401)^10 ] ] ] ],
7568[ 13, 20050, 2, "1", [ [ 50, 8 ] ], 1, "401:50", [ "Z", 401, 1 ],
7569  [ [ [ Z(401)^8 ] ] ] ],
7570[ 14, 32080, 2, "1", [ [ 80, 5 ] ], 1, "401:80", [ "Z", 401, 1 ],
7571  [ [ [ Z(401)^5 ] ] ] ],
7572[ 15, 40100, 2, "1", [ [ 100, 4 ] ], 1, "401:100", [ "Z", 401, 1 ],
7573  [ [ [ Z(401)^4 ] ] ] ],
7574[ 16, 80200, 2, "1", [ [ 200, 2 ] ], 1, "401:200", [ "Z", 401, 1 ],
7575  [ [ [ Z(401)^2 ] ] ] ],
7576[ 17, 160400, 2, "1", [ [ 400, 1 ] ], 2, "AGL(1, 401)", [ "Z", 401, 1 ],
7577  [ [ [ Z(401) ] ] ] ]];
7578PRIMGRP[402]:=
7579[[ 1, 32240400, 1, "2", [ [ 401, 1 ] ], 2, "PSL(2, 401)",
7580  [ "L", [ 2, 401 ], 1 ], "psl" ],
7581[ 2, 64480800, 0, "2", [ [ 401, 1 ] ], 3, "PGL(2, 401)",
7582  [ "L", [ 2, 401 ], 1 ], "pgl" ],
7583[3, Factorial(402)/2,1,"2",[[401,1]],400, "Alt(402)", ["A",402, 1], "Alt"],
7584[4, Factorial(402),0,"2",[[401, 1]],402, "Sym(402)", ["A",402, 1], "Sym"]];
7585PRIMGRP[403]:=
7586[[1, Factorial(403)/2,1,"2",[[402,1]],401, "Alt(403)", ["A",403, 1], "Alt"],
7587[2, Factorial(403),0,"2",[[402, 1]],403, "Sym(403)", ["A",403, 1], "Sym"]];
7588PRIMGRP[404]:=
7589[[1, Factorial(404)/2,1,"2",[[403,1]],402, "Alt(404)", ["A",404, 1], "Alt"],
7590[2, Factorial(404),0,"2",[[403, 1]],404, "Sym(404)", ["A",404, 1], "Sym"]];
7591PRIMGRP[405]:=
7592[[1, Factorial(405)/2,1,"2",[[404,1]],403, "Alt(405)", ["A",405, 1], "Alt"],
7593[2, Factorial(405),0,"2",[[404, 1]],405, "Sym(405)", ["A",405, 1], "Sym"]];
7594PRIMGRP[406]:=
7595[[ 1, 12180, 1, "2", [ [ 30, 7 ], [ 15, 13 ] ], 1, "PSL(2, 29)",
7596  [ "L", [ 2, 29 ], 1 ],
7597  [ (  1,328,216,201, 28,207,352,289,125,268, 13,353,406,221)(  2,182,315,193,
7598         308,338,286,100,382,167, 70,238,386,194)(  3,320,374,274,118,121,235,
7599         51,348,335,244,371,327, 20)(  4,197,278,329, 12,400,250,  7,143,396,
7600         301,290, 52,127)(  5,234,151, 66,107,372,154,295,138,161,134,248,330,
7601         402)(  6,377,192, 73, 77, 22,378,287,213,362,403,137, 25,132)
7602        (  8,336,162,389,332,232,117, 55,220, 96, 31,173,344, 89)
7603        (  9, 84,116,347, 94, 72,224,404,180,206,370, 57,199,375)
7604        ( 10,276,401,319,139,349,230,135,313,113,294,322,236, 85)
7605        ( 11,142,279,231,148,307, 79,228,321, 15,296, 29,126,365)
7606        ( 14,156,185, 18,189, 93, 58,249, 41,323,265,174,291,283)
7607        ( 16,368,293,264,341,147,288,217,187,157, 21,209,318, 35)
7608        ( 17,364,261,152,343, 74,123,208,102, 42, 24, 63,203,191)
7609        ( 19,304,384,388,391,245,342,110,226,172,275, 99,229, 86)
7610        ( 23, 61,103,281,214, 47,140,345,280,334,130,129,168, 43)
7611        ( 26,312, 62,277,270,369,298, 54,394,303, 87,241,367, 38)
7612        ( 27,253,239,133,246,302,272,111, 75,112,314,164,346,363)
7613        ( 30,212,361,169,256,299,204,188,258,337, 68, 36,309, 67)
7614        ( 32,115,145,114, 37,215,390,177, 56,259,395, 91,311,355)
7615        ( 33, 90, 80,146,285,219, 97)( 34,149, 78,242, 88, 44,326,131,297,385,
7616         333,252,262,225)( 39,136,339,109,381,254,210,240,183, 40,351, 53,360,
7617         181)( 45,376,186,120,354, 83,325,218,198, 46,160,282,266,284)
7618        ( 48,393,292,105,366,331,150, 50,269,350,306, 98,200,159)
7619        ( 49,166,271,257,237,211, 95,155,243,196,176,165,233,316)
7620        ( 59,178,357,373,405,263, 65,223, 64,122,324,267,175,195)
7621        ( 60,383,399,153,106,397, 71,358,251,141, 81, 82,356,205)
7622        ( 69,170,179,171,310,398,119)( 76,128,387,101,392,202,317,305,380,359,
7623         92,227,184,255)(104,124,158,108,379,340,144,260,163,247,222,300,190,
7624         273), (  1,181,394,317,162)(  2,367, 11,243,141)(  3,140,357,274, 12)
7625        (  4, 40, 77,390, 76)(  5, 75,383, 48, 96)(  6,154,137,300,272)
7626        (  7,271,195,292,297)(  8,401,111,307,246)(  9,245,398,127,185)
7627        ( 10,372,237, 60,244)( 13, 59,224,109,108)( 14, 52,397,396, 70)
7628        ( 15,106, 54,248,280)( 16,333,269,404,196)( 17, 72,305,202,178)
7629        ( 18, 61,250,125,376)( 19,112, 99,213,147)( 20,338,166,277,186)
7630        ( 21,267,259,361,210)( 22,220,152,388,387)( 23,393,380,119,116)
7631        ( 24,370,400,131,325)( 25,189,256,205,203)( 26, 31, 30,374, 68)
7632        ( 27,132,406,341,146)( 28,217,184,403,311)( 29,344,167,356,257)
7633        ( 32,281,102,171,235)( 33,123,295,192,327)( 34,135,364,148,212)
7634        ( 35,143, 67,208, 36)( 37,261,251,204,174)( 38,173,198,255,314)
7635        ( 39,216, 53,221, 78)( 41,335,249, 74, 42)( 43,389,153,279,151)
7636        ( 44,193,183,211,323)( 45, 79,282,113, 87)( 46, 86,278, 56,384)
7637        ( 47,322,348,358,155)( 49,355,229,336,190)( 50,382,381,284,310)
7638        ( 51,126, 84,138,379)( 55,176,308,121,239)( 57,238,236,170,231)
7639        ( 58, 95,207,286,225)( 62, 91, 92,275, 63)( 64,199,273,299,260)
7640        ( 65,283,187,219,226)( 66,373, 98,104,209)( 69,329,136,114,354)
7641        ( 71,160,130,312,306)( 73,165,163,303,304)( 80, 85,386,122,321)
7642        ( 81,101,313,377,201)( 82,351,115,319,359)( 83,316,233,363,331)
7643        ( 88,337,228,191,139)( 89,330,188,339,362)( 90,179,265,200, 93)
7644        ( 94,107,118,264,320)( 97,302,268,182,105)(100,334,332,197,395)
7645        (103,263,365,371,158)(110,232,385,369,342)(117,328,402,164,128)
7646        (120,366,230,375,240)(124,242,172,142,326)(129,360,270,227,218)
7647        (133,254,368,161,291)(134,405,285,392,350)(144,159,347,345,301)
7648        (145,266,247,215,214)(149,340,262,296,391)(150,253,352,223,349)
7649        (156,194,318,399,157)(168,241,177,353,169)(175,276,294,180,309)
7650        (206,290,289,258,287)(234,315,378,288,298)(252,293,324,343,346) ] ],
7651[ 2, 24360, 0, "2", [ [ 30, 13 ], [ 15, 1 ] ], 1, "PGL(2, 29)",
7652  [ "L", [ 2, 29 ], 1 ],
7653  [ (  1,  2,  4,  8, 15, 28, 51, 90,145,199, 56, 97,156,201, 50, 89,143,212,
7654         289,343,393,358,277,354,312,252,142,135)(  3,  6, 12, 22, 41, 75,120,
7655         146,216,291,364,232,200, 38, 70, 94,151,224,299,369,148,220,294,244,
7656         207,285, 83,133)(  5, 10, 19, 35, 64,109,170,253,256,183,238,314,179,
7657         181,263,341,392, 63,107,168,249,326,346,290,363,356,320, 61)
7658        (  7, 14, 26, 48, 86,138,206,284,316,377,401, 42, 77,124, 46, 84,134,
7659         202,279,270,348,197,171,255,108,165,245, 69)(  9, 17, 32, 58,101, 74,
7660         98,158,231,305,375,389,397,225, 31, 57, 99,159,233,307,230,304,374,
7661         395,322,370,400,329)( 11, 21, 39, 71,116,180,262,339,217,292,365,376,
7662         318,355,295,265,344,155,114,177,260,336,327,248, 91,147,218,105)
7663        ( 13, 24, 45, 82,131,198,276,353,254,331,384,283,176, 67,112,173,129,
7664         195, 59,103,162,239,315,379,335,387, 29, 53)( 16, 30, 55, 72,117,182,
7665         264,342,189,227, 44, 81, 65,111,132,152,222,161,237,313,378,246,223,
7666         297,205,110,118,184)( 18, 34, 62,106,121,187, 36, 66, 87,140,210, 93,
7667         150,166,247,325,215,186,211,273,296,274,351,345,394,234,308,157)
7668        ( 20, 37, 68,113,175,259,125,153,226,301,209,288, 52, 92,149,221,115,
7669         178,261,338,390,323,360,123,190,271,349,381)( 23, 43, 79,127,172,214,
7670         100,160,235,310,192,240,317,337,139,208,286,229, 40, 73,119,185,266,
7671         258,334,359,396,306)( 25, 47, 85,136,203,280,287,361,383, 76,122,188,
7672         269,144, 27, 49, 88, 33, 60,104,164,243,321,382,405,391,242,194)
7673        ( 54, 95, 78,126,193,250,328,380,340,281,357,303,267,130,196,275,352,
7674         278,309,366,399,163,241,319,204,282,167,102)( 80,128,169,251,300,371,
7675         213,137,174,257,333,386,388,219,293,367,373,403,404,406,372,402,268,
7676         347,362,324,298,368)( 96,154,228,302,236,311,191,272,350,330,332,385,
7677         398,141), (  1,  3,  7)(  2,  5, 11)(  4,  9, 18)(  6, 13, 25)
7678        (  8, 16, 31)( 10, 20, 38)( 12, 23, 44)( 14, 27, 50)( 15, 29, 54)
7679        ( 17, 33, 61)( 19, 36, 67)( 21, 40, 74)( 22, 42, 78)( 24, 46, 26)
7680        ( 28, 52, 93)( 30, 56, 98)( 32, 59, 92)( 34, 63,108)( 35, 65, 99)
7681        ( 37, 69,114)( 39, 72,118)( 41, 76,123)( 43, 80,129)( 45, 83, 47)
7682        ( 48, 87,141)( 49, 84,135)( 51, 91,148)( 53, 94,152)( 55, 96,155)
7683        ( 57,100, 71)( 58,102, 62)( 60,105,166)( 64,110,172)( 66,111, 68)
7684        ( 70,115,179)( 73, 88,142)( 75,121, 79)( 77,125,192)( 81,130,197)
7685        ( 82,132,200)( 85,137,205)( 86,139,209)( 89,144,214)( 90,146,217)
7686        ( 95,153,227)( 97,157,230)(101,161,238)(103,163,242)(104,165,246)
7687        (106,167,248)(107,169,252)(109,171,256)(112,174,258)(113,176,233)
7688        (116,181,156)(117,183,119)(120,186,268)(122,189,270)(124,191,273)
7689        (126,151,225)(127,168,250)(128,194,182)(131,199,278)(133,201,134)
7690        (136,204,283)(138,207,275)(140,211,173)(143,213,290)(145,215,175)
7691        (147,219,261)(149,222,296)(150,223,298)(154,229,212)(158,232,196)
7692        (159,234,309)(160,236,312)(162,240,318)(164,244,323)(170,254,332)
7693        (177,245,324)(178,241,320)(180,188,247)(184,265,311)(185,267,346)
7694        (187,208,287)(190,272,321)(193,237,255)(195,274,314)(198,277,297)
7695        (202,221,295)(203,281,218)(206,251,329)(210,220,293)(216,249,327)
7696        (224,300,364)(226,289,354)(228,303,373)(231,306,377)(235,286,360)
7697        (239,316,331)(243,322,383)(253,330,315)(257,280,356)(259,335,388)
7698        (260,337,384)(262,340,391)(263,269,307)(264,343,387)(266,345,294)
7699        (271,338,375)(276,288,362)(279,355,386)(282,358,367)(284,359,397)
7700        (285,313,334)(291,350,395)(292,366,394)(299,370,385)(301,352,378)
7701        (302,372,328)(304,371,401)(305,376,353)(308,348,363)(310,351,382)
7702        (317,380,357)(319,381,341)(325,333,342)(326,369,365)(336,389,379)
7703        (339,349,347)(361,398,390)(368,392,405)(374,404,400)(393,399,402)
7704        (396,403,406) ] ],
7705[ 3, 4420880996869850977271808000000, 1, "2", [ [ 54, 1 ], [ 351, 1 ] ], 1,
7706  "Alt(29)", [ "A", 29, 1 ],
7707  [ (  2,  3,  5,  8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
7708         173,192,212,233,255,278,302,327,353)(  4,  7, 11, 16, 22, 29, 37, 46,
7709         56, 67, 79, 92,106,121,137,154,172,191,211,232,254,277,301,326,352,
7710         379,406)(  6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91,105,120,136,153,
7711         171,190,210,231,253,276,300,325,351,378,405,380)(  9, 14, 20, 27, 35,
7712         44, 54, 65, 77, 90,104,119,135,152,170,189,209,230,252,275,299,324,
7713         350,377,404,354,381)( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,134,
7714         151,169,188,208,229,251,274,298,323,349,376,403,328,355,382)
7715        ( 18, 25, 33, 42, 52, 63, 75, 88,102,117,133,150,168,187,207,228,250,
7716         273,297,322,348,375,402,303,329,356,383)( 24, 32, 41, 51, 62, 74, 87,
7717         101,116,132,149,167,186,206,227,249,272,296,321,347,374,401,279,304,
7718         330,357,384)( 31, 40, 50, 61, 73, 86,100,115,131,148,166,185,205,226,
7719         248,271,295,320,346,373,400,256,280,305,331,358,385)( 39, 49, 60, 72,
7720         85, 99,114,130,147,165,184,204,225,247,270,294,319,345,372,399,234,
7721         257,281,306,332,359,386)( 48, 59, 71, 84, 98,113,129,146,164,183,203,
7722         224,246,269,293,318,344,371,398,213,235,258,282,307,333,360,387)
7723        ( 58, 70, 83, 97,112,128,145,163,182,202,223,245,268,292,317,343,370,
7724         397,193,214,236,259,283,308,334,361,388)( 69, 82, 96,111,127,144,162,
7725         181,201,222,244,267,291,316,342,369,396,174,194,215,237,260,284,309,
7726         335,362,389)( 81, 95,110,126,143,161,180,200,221,243,266,290,315,341,
7727         368,395,156,175,195,216,238,261,285,310,336,363,390)( 94,109,125,142,
7728         160,179,199,220,242,265,289,314,340,367,394,139,157,176,196,217,239,
7729         262,286,311,337,364,391)(108,124,141,159,178,198,219,241,264,288,313,
7730         339,366,393,123,140,158,177,197,218,240,263,287,312,338,365,392),
7731      (  1,  2,  4)(  3,  6,  7)(  5,  9, 11)(  8, 13, 16)( 12, 18, 22)
7732        ( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)( 38, 48, 56)( 47, 58, 67)
7733        ( 57, 69, 79)( 68, 81, 92)( 80, 94,106)( 93,108,121)(107,123,137)
7734        (122,139,154)(138,156,172)(155,174,191)(173,193,211)(192,213,232)
7735        (212,234,254)(233,256,277)(255,279,301)(278,303,326)(302,328,352)
7736        (327,354,379)(353,380,406) ] ],
7737[ 4, 8841761993739701954543616000000, 0, "2", [ [ 54, 1 ], [ 351, 1 ] ], 1,
7738  "Sym(29)", [ "A", 29, 1 ],
7739  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
7740          91,101,111,122,133,145,157,170,183,197,211)(  4,  6,  8, 11, 14, 18,
7741         22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,
7742         171,184,198,212,227,226)(  9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59,
7743         67, 75, 84, 93,103,113,124,135,147,159,172,185,199,213,228,242,241,
7744         256)( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104,114,125,
7745         136,148,160,173,186,200,214,229,243,258,257,271,286)( 25, 30, 35, 41,
7746         47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,161,174,187,201,215,
7747         230,244,259,273,272,287,301,316)( 36, 42, 48, 55, 62, 70, 78, 87, 96,
7748         106,116,127,138,150,162,175,188,202,216,231,245,260,274,289,288,302,
7749         317,331,346)( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,
7750         189,203,217,232,246,261,275,290,304,303,318,332,347,359,370)
7751        ( 64, 72, 80, 89, 98,108,118,129,140,152,164,177,190,204,218,233,247,
7752         262,276,291,305,320,319,333,348,360,371,380,388)( 81, 90, 99,109,119,
7753         130,141,153,165,178,191,205,219,234,248,263,277,292,306,321,335,334,
7754         349,361,372,381,389,395,400)(100,110,120,131,142,154,166,179,192,206,
7755         220,235,249,264,278,293,307,322,336,345,350,362,373,382,390,396,401,
7756         404,406)(121,132,143,155,167,180,193,207,221,236,250,265,279,294,308,
7757         323,337,351,315,330,344,358,369,379,387,394,399,403,405)
7758        (144,156,168,181,194,208,222,237,251,266,280,295,309,324,338,352,363,
7759         285,300,314,329,343,357,368,378,386,393,398,402)(169,182,195,209,223,
7760         238,252,267,281,296,310,325,339,353,364,374,255,270,284,299,313,328,
7761         342,356,367,377,385,392,397)(196,210,224,239,253,268,282,297,311,326,
7762         340,354,365,375,383,225,240,254,269,283,298,312,327,341,355,366,376,
7763         384,391), (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)
7764        ( 56, 64)( 72, 81)( 90,100)(110,121)(132,144)(156,169)(182,196)
7765        (210,225)(211,226)(227,241)(240,255)(242,257)(258,272)(270,285)
7766        (273,288)(289,303)(300,315)(304,319)(320,334)(330,345)(335,350) ] ],
7767[5, Factorial(406)/2,1,"2",[[405,1]],404, "Alt(406)", ["A",406, 1], "Alt"],
7768[6, Factorial(406),0,"2",[[405, 1]],406, "Sym(406)", ["A",406, 1], "Sym"]];
7769PRIMGRP[407]:=
7770[[1, Factorial(407)/2,1,"2",[[406,1]],405, "Alt(407)", ["A",407, 1], "Alt"],
7771[2, Factorial(407),0,"2",[[406, 1]],407, "Sym(407)", ["A",407, 1], "Sym"]];
7772PRIMGRP[408]:=
7773[[1, Factorial(408)/2,1,"2",[[407,1]],406, "Alt(408)", ["A",408, 1], "Alt"],
7774[2, Factorial(408),0,"2",[[407, 1]],408, "Sym(408)", ["A",408, 1], "Sym"]];
7775PRIMGRP[409]:=
7776[[1, Factorial(409)/2,1,"2",[[408,1]],407, "Alt(409)", ["A",409, 1], "Alt"],
7777[2, Factorial(409),0,"2",[[408, 1]],409, "Sym(409)", ["A",409, 1], "Sym"],
7778[ 3, 409, 3, "1", [ [ 1, 408 ] ], 1, "C(409)", [ "Z", 409, 1 ], [  ] ],
7779[ 4, 818, 2, "1", [ [ 2, 204 ] ], 1, "D(2*409)", [ "Z", 409, 1 ],
7780  [ [ [ Z(409)^204 ] ] ] ],
7781[ 5, 1227, 2, "1", [ [ 3, 136 ] ], 1, "409:3", [ "Z", 409, 1 ],
7782  [ [ [ Z(409)^136 ] ] ] ],
7783[ 6, 1636, 2, "1", [ [ 4, 102 ] ], 1, "409:4", [ "Z", 409, 1 ],
7784  [ [ [ Z(409)^102 ] ] ] ],
7785[ 7, 2454, 2, "1", [ [ 6, 68 ] ], 1, "409:6", [ "Z", 409, 1 ],
7786  [ [ [ Z(409)^68 ] ] ] ],
7787[ 8, 3272, 2, "1", [ [ 8, 51 ] ], 1, "409:8", [ "Z", 409, 1 ],
7788  [ [ [ Z(409)^51 ] ] ] ],
7789[ 9, 4908, 2, "1", [ [ 12, 34 ] ], 1, "409:12", [ "Z", 409, 1 ],
7790  [ [ [ Z(409)^34 ] ] ] ],
7791[ 10, 6953, 2, "1", [ [ 17, 24 ] ], 1, "409:17", [ "Z", 409, 1 ],
7792  [ [ [ Z(409)^24 ] ] ] ],
7793[ 11, 9816, 2, "1", [ [ 24, 17 ] ], 1, "409:24", [ "Z", 409, 1 ],
7794  [ [ [ Z(409)^17 ] ] ] ],
7795[ 12, 13906, 2, "1", [ [ 34, 12 ] ], 1, "409:34", [ "Z", 409, 1 ],
7796  [ [ [ Z(409)^12 ] ] ] ],
7797[ 13, 20859, 2, "1", [ [ 51, 8 ] ], 1, "409:51", [ "Z", 409, 1 ],
7798  [ [ [ Z(409)^8 ] ] ] ],
7799[ 14, 27812, 2, "1", [ [ 68, 6 ] ], 1, "409:68", [ "Z", 409, 1 ],
7800  [ [ [ Z(409)^6 ] ] ] ],
7801[ 15, 41718, 2, "1", [ [ 102, 4 ] ], 1, "409:102", [ "Z", 409, 1 ],
7802  [ [ [ Z(409)^4 ] ] ] ],
7803[ 16, 55624, 2, "1", [ [ 136, 3 ] ], 1, "409:136", [ "Z", 409, 1 ],
7804  [ [ [ Z(409)^3 ] ] ] ],
7805[ 17, 83436, 2, "1", [ [ 204, 2 ] ], 1, "409:204", [ "Z", 409, 1 ],
7806  [ [ [ Z(409)^2 ] ] ] ],
7807[ 18, 166872, 2, "1", [ [ 408, 1 ] ], 2, "AGL(1, 409)", [ "Z", 409, 1 ],
7808  [ [ [ Z(409) ] ] ] ]];
7809PRIMGRP[410]:=
7810[[ 1, 34208760, 1, "2", [ [ 409, 1 ] ], 2, "PSL(2, 409)",
7811  [ "L", [ 2, 409 ], 1 ], "psl" ],
7812[ 2, 68417520, 0, "2", [ [ 409, 1 ] ], 3, "PGL(2, 409)",
7813  [ "L", [ 2, 409 ], 1 ], "pgl" ],
7814[3, Factorial(410)/2,1,"2",[[409,1]],408, "Alt(410)", ["A",410, 1], "Alt"],
7815[4, Factorial(410),0,"2",[[409, 1]],410, "Sym(410)", ["A",410, 1], "Sym"]];
7816PRIMGRP[411]:=
7817[[1, Factorial(411)/2,1,"2",[[410,1]],409, "Alt(411)", ["A",411, 1], "Alt"],
7818[2, Factorial(411),0,"2",[[410, 1]],411, "Sym(411)", ["A",411, 1], "Sym"]];
7819PRIMGRP[412]:=
7820[[1, Factorial(412)/2,1,"2",[[411,1]],410, "Alt(412)", ["A",412, 1], "Alt"],
7821[2, Factorial(412),0,"2",[[411, 1]],412, "Sym(412)", ["A",412, 1], "Sym"]];
7822PRIMGRP[413]:=
7823[[1, Factorial(413)/2,1,"2",[[412,1]],411, "Alt(413)", ["A",413, 1], "Alt"],
7824[2, Factorial(413),0,"2",[[412, 1]],413, "Sym(413)", ["A",413, 1], "Sym"]];
7825PRIMGRP[414]:=
7826[[1, Factorial(414)/2,1,"2",[[413,1]],412, "Alt(414)", ["A",414, 1], "Alt"],
7827[2, Factorial(414),0,"2",[[413, 1]],414, "Sym(414)", ["A",414, 1], "Sym"]];
7828PRIMGRP[415]:=
7829[[1, Factorial(415)/2,1,"2",[[414,1]],413, "Alt(415)", ["A",415, 1], "Alt"],
7830[2, Factorial(415),0,"2",[[414, 1]],415, "Sym(415)", ["A",415, 1], "Sym"]];
7831PRIMGRP[416]:=
7832[[ 1, 62400, 1, "2", [ [ 25, 4 ], [ 15, 1 ], [ 150, 1 ], [ 75, 2 ] ], 1,
7833  "PSU(3, 4)", [ "2A", [ 2, 4 ], 1 ],
7834  [ (  1,156)(  2, 44)(  3,209)(  4, 87)(  6,342)(  7,320)(  8,130)(  9,223)
7835        ( 11, 81)( 12,194)( 13,328)( 14,399)( 15,400)( 16, 63)( 17,376)
7836        ( 18,235)( 19,102)( 20,299)( 21, 99)( 22,366)( 23, 34)( 24,262)
7837        ( 25,115)( 27,379)( 29, 70)( 30,259)( 31,184)( 32, 60)( 33,120)
7838        ( 35, 71)( 37,159)( 38, 91)( 39, 41)( 40,153)( 42,334)( 43,137)
7839        ( 45,302)( 46,353)( 47,165)( 49, 53)( 50,117)( 51,121)( 52,360)
7840        ( 54,155)( 56,237)( 57,276)( 58,250)( 59,241)( 61,325)( 62,304)
7841        ( 64,319)( 65, 74)( 66,307)( 68,369)( 69,133)( 72,322)( 73,183)
7842        ( 75,219)( 76,154)( 77,273)( 78,349)( 79,148)( 80,338)( 82,103)
7843        ( 83,289)( 84,362)( 85,190)( 86,228)( 88,134)( 89,182)( 90,198)
7844        ( 94,101)( 95,329)( 96,354)( 97,260)( 98,335)(100,288)(104,278)
7845        (105,136)(106,264)(107,189)(108,240)(109,367)(110,398)(111,351)
7846        (112,269)(113,357)(114,281)(116,375)(118,309)(119,383)(122,386)
7847        (123,270)(124,244)(126,181)(127,179)(128,233)(129,292)(131,327)
7848        (135,390)(138,152)(140,245)(141,316)(142,253)(143,296)(144,201)
7849        (145,258)(146,352)(147,202)(149,282)(150,212)(151,203)(157,397)
7850        (158,268)(160,391)(161,191)(162,387)(163,255)(167,225)(168,205)
7851        (170,332)(171,361)(173,218)(174,405)(175,389)(176,333)(177,243)
7852        (178,306)(180,300)(185,222)(186,410)(187,331)(188,275)(192,313)
7853        (193,199)(195,359)(196,284)(197,370)(200,401)(204,381)(206,305)
7854        (207,321)(208,368)(210,336)(214,374)(215,392)(216,271)(217,373)
7855        (220,242)(221,404)(227,395)(229,283)(231,290)(232,274)(234,280)
7856        (236,308)(238,385)(239,287)(246,346)(247,341)(248,372)(249,407)
7857        (251,413)(252,415)(256,298)(257,363)(261,326)(263,279)(265,315)
7858        (266,388)(267,303)(272,343)(277,394)(291,347)(293,402)(294,416)
7859        (295,350)(297,371)(301,330)(310,312)(311,318)(317,339)(323,384)
7860        (324,337)(340,406)(344,345)(348,382)(356,364)(358,396)(378,393)
7861        (380,408)(403,412), (  1,122,354, 10)(  2,341,221,167)(  3,168,238,135
7862         )(  4, 40,266,210)(  5,393,344,159)(  6,145,140,213)(  7,194,  8,171)
7863        (  9,233, 77,294)( 11, 73, 93,214)( 12,370,196, 48)( 13, 88,150,380)
7864        ( 14,285,243,290)( 15,164,254,124)( 16, 92,321,157)( 17,331, 19, 84)
7865        ( 18,366,318,315)( 20,102,180,268)( 21,264,125,230)( 22, 46,415,413)
7866        ( 23, 96,317,151)( 24,399,179,408)( 25,252,149,325)( 26,219,163,374)
7867        ( 27,402,390,188)( 28,247, 94,320)( 29, 97,118, 34)( 30, 61,334,123)
7868        ( 31,235,353,248)( 32, 62,336,289)( 33,291,274,392)( 35,298,112, 54)
7869        ( 36,314,360,108)( 37,287, 98,316)( 38,174,141,271)( 39,326,308,143)
7870        ( 41, 66,211,127)( 42,272,172,204)( 43,241)( 44, 67,166,128)
7871        ( 45,256,414,239)( 47,376,400,381)( 49,146,310,202)( 50,369,101,103)
7872        ( 51,330,226, 81)( 52,158,277,343)( 53,203,346,232)( 55,364,281, 89)
7873        ( 56, 65,258,347)( 57,178,299,300)( 58,267,181,386)( 59,283,240,242)
7874        ( 60,208,282,340)( 63,378,372,160)( 64,352,373,365)( 68, 74,262,350)
7875        ( 69,358,260,197)( 70,161,169, 95)( 71,382)( 72,403)( 75,279,126,284)
7876        ( 76, 79,286,220)( 78,411,339, 86)( 80,198)( 82,184,307,356)
7877        ( 83,121,385,322)( 85,323,280,136)( 87,216,278,363)( 90,209,154,162)
7878        ( 91,387,155,304)( 99,227,338,173)(100,295,297,129)(104,187,362,388)
7879        (105,263,206,249)(106,177,144,410)(107,223,139,142)(109,309)(110,355)
7880        (111,384,306,296)(113,396)(114,407,176,361)(115,345,153,193)
7881        (116,222,191,253)(117,200)(119,292,273,215)(120,349,156,133)
7882        (130,231,195,367)(131,148,342,328)(132,138,293,313)(134,234,186,379)
7883        (137,205,332,190)(147,416)(152,327,405,217)(165,199)(170,255,377,175)
7884        (182,207,251,311)(183,329,250,406)(185,357,383,302)(189,324,401,391)
7885        (192,244,257,412)(201,333)(212,351,229,276)(218,224,409,269)
7886        (225,288,359,246)(228,245,398,319)(236,394)(237,404)(259,303)
7887        (261,270,305,265)(275,395)(301,389)(312,337,371,335)(348,368,397,375)
7888     ] ],
7889[ 2, 124800, 0, "2", [ [ 15, 1 ], [ 50, 2 ], [ 150, 1 ], [ 75, 2 ] ], 1,
7890  "PSU(3, 4).2", [ "2A", [ 2, 4 ], 1 ],
7891  [ (  1, 91)(  2,223)(  3,211)(  4,  6)(  5,272)(  7,376)(  8,386)(  9, 19)
7892        ( 10,119)( 12,278)( 13,194)( 14, 31)( 16,141)( 17, 39)( 18, 74)
7893        ( 20,375)( 21,261)( 22, 51)( 23,259)( 25, 37)( 26,302)( 27, 62)
7894        ( 28,175)( 30,349)( 32,415)( 33, 95)( 34, 78)( 35,382)( 36,397)
7895        ( 38,319)( 40,395)( 41,320)( 42, 97)( 43,252)( 44,102)( 46,229)
7896        ( 47,106)( 49,399)( 50,113)( 52, 76)( 53,184)( 54, 89)( 55,400)
7897        ( 56,301)( 57,131)( 58,207)( 60,137)( 61,125)( 63,406)( 64,156)
7898        ( 65,148)( 66,170)( 67,225)( 68,153)( 69,334)( 70,132)( 71,370)
7899        ( 72,391)( 73,368)( 75,129)( 77,308)( 79,235)( 80,179)( 81,285)
7900        ( 82,121)( 83,142)( 84,257)( 85,273)( 86,115)( 87,186)( 88,318)
7901        ( 92,198)( 93,241)( 94,164)( 96,126)( 98,338)( 99,149)(100,331)
7902        (103,366)(104,328)(107,237)(108,231)(110,206)(111,216)(114,293)
7903        (116,243)(117,352)(118,165)(120,152)(122,280)(123,305)(124,255)
7904        (127,335)(128,253)(130,234)(133,260)(134,196)(135,268)(136,409)
7905        (138,329)(140,250)(143,332)(144,281)(145,314)(146,357)(147,244)
7906        (150,276)(151,295)(154,396)(155,249)(158,416)(159,228)(160,323)
7907        (161,283)(162,303)(163,202)(166,168)(169,176)(171,351)(172,339)
7908        (173,315)(174,251)(177,299)(178,256)(180,214)(181,279)(182,407)
7909        (183,266)(185,199)(187,287)(189,330)(190,236)(191,353)(192,297)
7910        (193,195)(197,348)(200,240)(201,402)(203,408)(204,387)(208,388)
7911        (212,327)(213,367)(215,298)(217,413)(218,378)(219,356)(220,312)
7912        (221,385)(222,359)(224,277)(226,336)(227,369)(232,310)(233,289)
7913        (238,247)(239,288)(242,274)(245,321)(246,300)(248,371)(254,275)
7914        (262,411)(263,354)(264,309)(265,393)(267,381)(269,286)(270,398)
7915        (271,361)(282,326)(284,311)(290,401)(291,363)(292,364)(294,390)
7916        (296,307)(304,344)(306,392)(313,372)(316,340)(322,384)(337,377)
7917        (341,404)(342,410)(345,379)(346,374)(347,362)(350,380)(358,360)
7918        (373,405)(403,414), (  1,403, 54,304, 37,133,119,  5)(  2,358,126, 36,
7919         266, 17, 10,329)(  3,411, 39,175,328, 79,217,372)(  4,255,245,215,
7920         223, 55,258, 75)(  6,250,305,339,299,198,195,279)(  7,281,218,172,
7921          90,340,413,112)(  8,125, 46,229,230,134,106,406)(  9,345,398,211,
7922         313, 93,333, 34)( 11,238,385,131,297,201,157,142)( 12,309,237,150,
7923         244,220,260, 44)( 13, 25,355, 51,361,354,116,183)( 14, 83,303,176,
7924         353, 29,135,158)( 15,350,196,251,322,233,193,302)( 16,144, 91,155,
7925         127,397,293, 43)( 18,243,120, 32,390,259,178,342)( 19,124,371,100,
7926         287,136,203,412)( 20,366,145,288, 60, 30, 47, 69)( 21,320,151,280,
7927         241, 58, 81,290)( 22,236,401,114,177, 40, 89,283)( 23,254,298,181)
7928        ( 24,346, 96,165,332,314,122,140)( 26,216,400,128,168,224, 77,225)
7929        ( 27,261,294,248,321,147,352,381)( 28, 99, 33, 56,108,343,149, 74)
7930        ( 31,296,285,148)( 35,107,110,115,362,152,268,386)( 38,171,213,162,
7931         318,209,378,182)( 41,334,351,312, 78,103,202,396)( 42, 72,129,331,
7932         188,273,324,234)( 45, 80,414,197,173,363,256,164)( 48,317,262, 59,
7933         228,191,408,272)( 49, 82,210,359,153,275,190,113)( 50,344,130, 57)
7934        ( 52, 97,286,264,185, 65,143,399)( 53, 92,374,391,308,410, 63,189)
7935        ( 61,159,311,348,257,265,402,356)( 62,370,375,205)( 64,132,163, 86)
7936        ( 66, 68,377, 87,141,154,117,192)( 67,240,186,226)( 70,161,187,111,
7937          98,263,231,326)( 71,278,274,284,270,379,169,347)( 73,253,405,104,
7938         277,101,239,207)( 76,292,146,387,180,330,407,200)( 84,376,315,357,
7939         123,310,156,206)( 85,415,367,380,404,118,360,170)( 88,393,269,395)
7940        ( 94,289,139,384,327,335,227,307)( 95,271,232,246)(102,208,166,337,
7941         174,219,276,301)(105,137,388,109,194,383,212,222)(121,160,365,373,
7942         394,138,319,349)(167,204,242,300,295,389,252,369)(179,416,338,184,
7943         214,249,325,409)(199,267,282,382,291,235,306,247)(221,392,323,341,
7944         336,368,316,364) ] ],
7945[ 3, 249600, 0, "2", [ [ 100, 1 ], [ 15, 1 ], [ 150, 2 ] ], 1,
7946  "PGammaU(3, 4)", [ "2A", [ 2, 4 ], 1 ],
7947  [ (  1,  2)(  3,  7)(  5, 12)(  6, 15)(  8, 20)( 10, 25)( 13, 32)( 14, 35)
7948        ( 16, 40)( 17, 43)( 18, 45)( 19, 48)( 21, 31)( 22, 37)( 23, 55)
7949        ( 24, 58)( 26, 63)( 27, 66)( 28, 56)( 29, 71)( 30, 73)( 33, 79)
7950        ( 34, 81)( 36, 85)( 38, 90)( 39, 93)( 41, 64)( 44,103)( 46,107)
7951        ( 47,109)( 49,114)( 50, 72)( 51,119)( 52,122)( 53,125)( 54,127)
7952        ( 57,133)( 60,140)( 61,142)( 62,145)( 65,150)( 67,154)( 68,157)
7953        ( 69,160)( 70,149)( 75,168)( 76,171)( 77,174)( 78,162)( 80,139)
7954        ( 82,130)( 83,184)( 84,163)( 86,187)( 87,190)( 88,185)( 89,195)
7955        ( 91,117)( 92,200)( 94,204)( 95,206)( 97,210)( 98,203)( 99,120)
7956        (100,215)(101,217)(102,220)(104,224)(105,227)(108,232)(110,235)
7957        (111,236)(112,221)(113,181)(115,244)(116,246)(118,251)(121,213)
7958        (123,256)(126,258)(128,263)(129,264)(131,267)(132,152)(134,230)
7959        (135,272)(136,273)(137,275)(138,277)(141,219)(143,282)(144,167)
7960        (146,286)(147,287)(148,289)(151,248)(155,172)(156,299)(159,301)
7961        (161,291)(164,306)(165,308)(166,309)(169,313)(170,314)(173,304)
7962        (175,228)(176,238)(177,320)(178,321)(180,310)(183,326)(186,216)
7963        (188,255)(189,243)(192,334)(193,335)(194,337)(197,338)(198,340)
7964        (199,341)(201,344)(202,345)(205,274)(208,343)(209,353)(211,347)
7965        (212,355)(214,231)(218,357)(223,352)(225,239)(226,292)(229,311)
7966        (233,276)(234,367)(237,284)(240,316)(241,252)(245,305)(247,372)
7967        (249,374)(250,254)(253,290)(257,379)(259,380)(260,381)(261,382)
7968        (265,363)(266,332)(268,278)(269,378)(270,295)(271,389)(279,391)
7969        (280,351)(283,393)(285,303)(288,396)(293,307)(294,375)(296,399)
7970        (297,323)(298,342)(300,330)(302,384)(312,366)(315,402)(317,403)
7971        (318,404)(322,406)(325,407)(328,329)(331,410)(333,411)(336,373)
7972        (339,346)(348,408)(349,358)(350,400)(354,401)(356,395)(359,365)
7973        (360,368)(362,376)(364,405)(371,398)(377,415)(386,390)(387,392)
7974        (397,409)(412,416), (  1,  3,  8, 21)(  2,  5, 13, 33)(  4, 10, 26, 64
7975         )(  6, 16, 41, 98)(  7, 18, 46, 20)(  9, 23, 56, 65)( 11, 28, 69,161)
7976        ( 12, 30, 34, 82)( 14, 36, 86,188)( 15, 38, 91,199)( 17, 43, 35, 84)
7977        ( 19, 49,115, 63)( 22, 53,126,260)( 24, 59,138,278)( 25, 61,143, 85)
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7979        ( 37, 88,193,336)( 39, 94,205,349)( 40, 96,208,256)( 42,100,216,337)
7980        ( 44,104,225,192)( 45,105,228,243)( 47,110, 66,152)( 48,112,238,153)
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7982        ( 55,130, 62,146)( 57,134,270, 83)( 58,136,156,224)( 60,141)
7983        ( 68,158,239,342)( 70,163,305,272)( 71,164,248,340)( 73,166,241,324)
7984        ( 74, 92,201,334)( 76,172,263,384)( 78,177)( 79,133,269, 95)
7985        ( 80,180,283,159)( 81,182,325,408)( 87,191,332,122)( 89,196,150,294)
7986        ( 90,197,222,295)( 93,203,346,387)( 97,211,233,231)( 99,213)
7987        (101,218,286,183)(102,221,360,364)(106,229,365,131)(107,162,304,398)
7988        (108,140,280,367)(109,234,284,394)(111,237,160,302)(113,240,246,137)
7989        (114,242)(116,247,373,274)(118,252,259,217)(119,207,352,326)
7990        (121,202,298,184)(124,142,210,251)(125,244,370,310)(127,262,178,151)
7991        (129,265,148,290)(132,268,388,402)(135,190,187,329)(139,165,232,366)
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7993        (154,296,226,363)(157,300,307,400)(167,212,200,343)(168,312,293,289)
7994        (170,315)(171,281,258,371)(173,316,313,215)(174,317,275,245)
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8027        (340,410,391,407)(360,400)(373,388,389,404) ] ],
8028[ 4, 503193600, 0, "2", [ [ 100, 1 ], [ 315, 1 ] ], 1, "G(2, 4).2",
8029  [ "G", 4, 1 ],
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8031        (  2,182,217,141,312,266,113,189,346,103,231,374, 35,378,187)
8032        (  3, 42,255, 99,303,196,340,132,110,359,191,413,351,148, 85)
8033        (  4,213, 68,  9,334,277,198, 94,336, 28,185,205, 73,278,344)
8034        (  5,134,366,149,119,186,162,390,306,299,341,253,171,258,120)
8035        (  6,324,222, 13,288,227,387,122,229,330,215,184,106,269, 83)
8036        (  7, 48,402,154,271,365,142,354,369,320,285,219,249, 76,102)
8037        (  8,174,117, 37,356,281,338,323,286, 15,379,177,181,405,238)
8038        ( 10,326,261,332,409,156,166, 29,150,155, 45,114,183, 61,251)
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8041        ( 14,207, 71,412,327,169,200,262,206, 18,105,317,138, 23,178)
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8044        ( 19,164,214,239,382,140,331, 80, 40, 21, 79,225,291,235,309)
8045        ( 20,416, 38,243,265,307,220,273,389, 26,329,407, 62,157,216)
8046        ( 22,137,385,116,289, 89, 95,248,308,373,147,194, 72,209,335)
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8048        ( 27,252,230,163, 49,257,295,218, 96,197,355,240,143,400, 55)
8049        ( 30, 52,372,300,282,115,293,188,316,311, 51,131, 82,321,343)
8050        ( 32, 74,393,170,167,208,151,126,314, 65,310,176,276,246,158)
8051        ( 33,363, 63,350,347,333,135,370,328, 81,256, 93,112,241,411)
8052        ( 34,128,304,294, 56)( 36,399,173, 43,357, 86, 50,211,404,130, 92,283,
8053         414,375,190)( 39,160,342, 97,247,104,232,318, 69, 90,391,199,325,322,
8054         101)( 41,192,123,107, 53,406,228,223, 75,348,368,268,153,383,388)
8055        ( 57,168,172,111,353,210,108,129,361,259,152,296, 67, 66, 70)
8056        ( 58,386,349,224,377, 98, 59,124,236,254,180, 77, 91,242,145)
8057        (125,280,313)(136,384,364),
8058      (  1,269,260,297,164,365, 89,246, 93, 99,221,196,200,190)
8059        (  2,384,262,201,205, 14,401,228,296, 53, 48,202,220,407)
8060        (  3, 90,292,125, 85,162,369,258,377,305, 79,357,235,252)
8061        (  4,279, 80, 36,318,123,167,402,266,334,186, 10,137, 95)
8062        (  5,324, 35,367, 29, 46,375,388,253,225,319,265,383,170)
8063        (  6,184,133, 22,275,309,244,320, 65,270,366,140,289, 74)
8064        (  7,405,380,254, 84,117,219,311, 72,168,209,341,195,212)
8065        (  8,393, 67,285,306,134,180,287,290, 12,174,104,171,121)
8066        (  9,197,353,351, 18, 97,329,337,374,169, 92,273,240,272)
8067        ( 11,356,348,303,283, 19, 51,242, 82,114,350,115, 91,187)
8068        ( 13,236,326,291,336, 94, 55,267, 60,307,207,358,132,234)
8069        ( 15, 76,230,250,386,111,247, 17, 39,333, 50,293,113,299)
8070        ( 16,215,233,276,268,101,349,103,325,152,321,191,328,413)
8071        ( 20,379,301,406,343, 24,222, 57,288, 71,245, 56, 64,206)
8072        ( 21,271,256,165,359,118, 25,298,414,173, 42,322,347,216)
8073        ( 23,398,185,151,346,241, 30,295,412,224, 40,227,214,373)
8074        ( 26, 83, 27,143,410,344,128,327,226,397, 88,172,237,394)
8075        ( 28,135,146,148,248,217,105,284,127, 45, 52,210,139,208)
8076        ( 31,399,198,302, 66,147,362,392,157,149,391,183,409,109)
8077        ( 32,389, 41,158,408,385,316,335, 86,255,178,312,192, 58)
8078        ( 33,232,138,257,261,161,163)( 34, 61,150, 49, 70,264,119,415,108,281,
8079         110,211,277,304)( 37,238,251,381,129,282,131,116,166,223,124,370,360,
8080         313)( 38,182,203, 75,400, 47,145,160,395,294,372, 68,278,339)
8081        ( 43,330,368,159,102,323,179,181, 96,355,107, 98,354,249)
8082        ( 44,136,199,243,310,142,286)( 54,274,154,314,213,338,193, 59,120,300,
8083         363,204,396,364)( 62,177,361,153,352,156,188,239,100,176,317, 73, 87,
8084         378)( 63,231,280,315,144, 77, 81,106, 78,155,112,403,331,382)
8085        ( 69,122,376,345,194,340,259)(126,342,218,416,404,390,175)
8086        (130,371,141,229,189,411,308)(263,387) ] ],
8087[5, Factorial(416)/2,1,"2",[[415,1]],414, "Alt(416)", ["A",416, 1], "Alt"],
8088[6, Factorial(416),0,"2",[[415, 1]],416, "Sym(416)", ["A",416, 1], "Sym"],
8089[ 7, 251596800, 1, "2", [ [ 100, 1 ], [ 315, 1 ] ], 1, "G(2, 4)",
8090  [ "G", 4, 1 ],
8091  [ (  1,  2)(  3,  5)(  4,  7)(  6, 10)(  8, 13)(  9, 12)( 14, 20)( 15, 22)
8092        ( 16, 24)( 17, 26)( 18, 27)( 19, 29)( 21, 32)( 25, 36)( 28, 40)
8093        ( 30, 43)( 33, 47)( 34, 49)( 35, 50)( 37, 53)( 38, 55)( 39, 57)
8094        ( 41, 60)( 44, 62)( 45, 64)( 46, 66)( 48, 69)( 51, 72)( 52, 74)
8095        ( 54, 77)( 56, 79)( 58, 82)( 59, 84)( 61, 87)( 63, 90)( 65, 92)
8096        ( 67, 95)( 68, 97)( 70,100)( 71,101)( 73,104)( 75,107)( 78,111)
8097        ( 80,109)( 81,114)( 83,117)( 85,120)( 86,122)( 88,125)( 91,128)
8098        ( 93,131)( 94,132)( 96,135)( 98,138)(102,140)(103,142)(105,143)
8099        (106,144)(108,147)(110,150)(112,153)(113,155)(115,156)(116,158)
8100        (118,133)(119,161)(121,164)(123,166)(124,167)(126,170)(127,171)
8101        (129,174)(130,176)(134,181)(136,184)(139,186)(141,188)(146,192)
8102        (148,195)(149,196)(151,179)(152,200)(154,203)(159,208)(160,209)
8103        (162,212)(163,211)(168,217)(169,219)(172,223)(173,225)(175,228)
8104        (177,230)(178,232)(180,235)(182,238)(185,241)(187,244)(189,193)
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8106        (202,259)(204,262)(205,214)(206,240)(207,264)(210,267)(213,221)
8107        (215,263)(216,274)(218,276)(222,224)(226,280)(227,282)(229,247)
8108        (231,266)(233,287)(234,289)(236,277)(237,291)(239,294)(242,284)
8109        (243,278)(245,301)(246,302)(249,304)(251,307)(253,308)(256,311)
8110        (258,313)(260,275)(265,319)(268,322)(269,324)(270,326)(271,327)
8111        (272,328)(273,330)(279,333)(283,336)(285,339)(286,340)(288,299)
8112        (290,343)(292,345)(293,347)(295,349)(297,351)(298,352)(300,354)
8113        (303,356)(305,359)(309,362)(312,365)(317,368)(318,370)(320,373)
8114        (321,350)(323,375)(329,377)(331,338)(332,376)(334,379)(335,363)
8115        (337,348)(341,384)(342,383)(344,353)(346,387)(355,392)(358,395)
8116        (360,396)(361,389)(364,398)(366,381)(367,397)(371,399)(372,380)
8117        (374,401)(378,403)(385,405)(386,393)(391,394)(402,407)(404,411)
8118        (406,408)(413,414), (  1,  3,  6, 11, 17)(  2,  4,  8, 14, 21)
8119        (  5,  9, 15, 23, 34)(  7, 12, 18, 28, 41)( 10, 16, 25, 37, 54)
8120        ( 13, 19, 30, 44, 63)( 20, 31, 45, 65, 93)( 22, 33, 48, 70, 43)
8121        ( 24, 35, 51, 73,105)( 26, 38, 56, 80,113)( 27, 39, 58, 83,118)
8122        ( 29, 42, 61, 88,126)( 32, 46, 67, 96,136)( 36, 52, 75,108,148)
8123        ( 40, 59, 85,121,165)( 47, 68, 98,139,101)( 49, 71,102,141,143)
8124        ( 53, 76,109,149,197)( 55, 78, 60, 86,123)( 57, 81,115,157,206)
8125        ( 62, 89, 82,116,159)( 64, 91,129,175,100)( 66, 94,133,180,236)
8126        ( 69, 99,140,187,245)( 72,103,107,146,193)( 74,106,145,191,114)
8127        ( 77,110,151,199,155)( 79,112,154,204,164)( 84,119,162,213,271)
8128        ( 87,124,168,218,267)( 90,127,172,224,122)( 92,130,177,231,285)
8129        ( 95,134,182,239,295)( 97,137,185,242,298)(111,152,201,258,314)
8130        (117,160,210,268,323)(120,163,214,272,329)(125,169,220,241,297)
8131        (128,173,226,281,334)(131,178,233,288,342)(132,179,234,290,138)
8132        (135,183,166,215,273)(142,189,247,223,279)(144,190,249,305,360)
8133        (147,194,238,293,322)(150,198,256,212,270)(153,202,260,316,367)
8134        (156,205,263,244,300)(158,207,265,320,365)(161,211,269,325,308)
8135        (167,216,228,250,306)(170,221,277,328,302)(171,222,278,332,326)
8136        (174,227,283,337,382)(176,229,284,338,362)(181,237,292,346,209)
8137        (184,240,296,350,389)(186,243,299,353,391)(188,246,252,192,251)
8138        (195,230,235,287,200)(196,253,309,363,392)(203,261,276,331,378)
8139        (208,266,321,374,254)(217,275,313,294,348)(225,262,317,369,356)
8140        (232,286,341,327,376)(248,303,357,394,370)(255,310,280,304,358)
8141        (257,312,366,351,390)(259,315,347,388,274)(264,318,371,400,354)
8142        (282,335,380,368,289)(291,344,385,311,364)(301,355,393,407,411)
8143        (307,361,397,409,359)(319,372,398,375,349)(324,339,383,404,412)
8144        (330,352,373,387,406)(333,377,402,336,381)(343,379,345,386,403)
8145        (395,408,401,410,414)(399,405,413,415,416) ] ]];
8146PRIMGRP[417]:=
8147[[1, Factorial(417)/2,1,"2",[[416,1]],415, "Alt(417)", ["A",417, 1], "Alt"],
8148[2, Factorial(417),0,"2",[[416, 1]],417, "Sym(417)", ["A",417, 1], "Sym"]];
8149PRIMGRP[418]:=
8150[[1, Factorial(418)/2,1,"2",[[417,1]],416, "Alt(418)", ["A",418, 1], "Alt"],
8151[2, Factorial(418),0,"2",[[417, 1]],418, "Sym(418)", ["A",418, 1], "Sym"]];
8152PRIMGRP[419]:=
8153[[1, Factorial(419)/2,1,"2",[[418,1]],417, "Alt(419)", ["A",419, 1], "Alt"],
8154[2, Factorial(419),0,"2",[[418, 1]],419, "Sym(419)", ["A",419, 1], "Sym"],
8155[ 3, 419, 3, "1", [ [ 1, 418 ] ], 1, "C(419)", [ "Z", 419, 1 ], [  ] ],
8156[ 4, 838, 2, "1", [ [ 2, 209 ] ], 1, "D(2*419)", [ "Z", 419, 1 ],
8157  [ [ [ Z(419)^209 ] ] ] ],
8158[ 5, 4609, 2, "1", [ [ 11, 38 ] ], 1, "419:11", [ "Z", 419, 1 ],
8159  [ [ [ Z(419)^38 ] ] ] ],
8160[ 6, 7961, 2, "1", [ [ 19, 22 ] ], 1, "419:19", [ "Z", 419, 1 ],
8161  [ [ [ Z(419)^22 ] ] ] ],
8162[ 7, 9218, 2, "1", [ [ 22, 19 ] ], 1, "419:22", [ "Z", 419, 1 ],
8163  [ [ [ Z(419)^19 ] ] ] ],
8164[ 8, 15922, 2, "1", [ [ 38, 11 ] ], 1, "419:38", [ "Z", 419, 1 ],
8165  [ [ [ Z(419)^11 ] ] ] ],
8166[ 9, 87571, 2, "1", [ [ 209, 2 ] ], 1, "419:209", [ "Z", 419, 1 ],
8167  [ [ [ Z(419)^2 ] ] ] ],
8168[ 10, 175142, 2, "1", [ [ 418, 1 ] ], 2, "AGL(1, 419)", [ "Z", 419, 1 ],
8169  [ [ [ Z(419) ] ] ] ]];
8170PRIMGRP[420]:=
8171[[ 1, 36779820, 1, "2", [ [ 419, 1 ] ], 2, "PSL(2, 419)",
8172  [ "L", [ 2, 419 ], 1 ], "psl" ],
8173[ 2, 73559640, 0, "2", [ [ 419, 1 ] ], 3, "PGL(2, 419)",
8174  [ "L", [ 2, 419 ], 1 ], "pgl" ],
8175[3, Factorial(420)/2,1,"2",[[419,1]],418, "Alt(420)", ["A",420, 1], "Alt"],
8176[4, Factorial(420),0,"2",[[419, 1]],420, "Sym(420)", ["A",420, 1], "Sym"]];
8177PRIMGRP[421]:=
8178[[1, Factorial(421)/2,1,"2",[[420,1]],419, "Alt(421)", ["A",421, 1], "Alt"],
8179[2, Factorial(421),0,"2",[[420, 1]],421, "Sym(421)", ["A",421, 1], "Sym"],
8180[ 3, 421, 3, "1", [ [ 1, 420 ] ], 1, "C(421)", [ "Z", 421, 1 ], [  ] ],
8181[ 4, 842, 2, "1", [ [ 2, 210 ] ], 1, "D(2*421)", [ "Z", 421, 1 ],
8182  [ [ [ Z(421)^210 ] ] ] ],
8183[ 5, 1263, 2, "1", [ [ 3, 140 ] ], 1, "421:3", [ "Z", 421, 1 ],
8184  [ [ [ Z(421)^140 ] ] ] ],
8185[ 6, 1684, 2, "1", [ [ 4, 105 ] ], 1, "421:4", [ "Z", 421, 1 ],
8186  [ [ [ Z(421)^105 ] ] ] ],
8187[ 7, 2105, 2, "1", [ [ 5, 84 ] ], 1, "421:5", [ "Z", 421, 1 ],
8188  [ [ [ Z(421)^84 ] ] ] ],
8189[ 8, 2526, 2, "1", [ [ 6, 70 ] ], 1, "421:6", [ "Z", 421, 1 ],
8190  [ [ [ Z(421)^70 ] ] ] ],
8191[ 9, 2947, 2, "1", [ [ 7, 60 ] ], 1, "421:7", [ "Z", 421, 1 ],
8192  [ [ [ Z(421)^60 ] ] ] ],
8193[ 10, 4210, 2, "1", [ [ 10, 42 ] ], 1, "421:10", [ "Z", 421, 1 ],
8194  [ [ [ Z(421)^42 ] ] ] ],
8195[ 11, 5052, 2, "1", [ [ 12, 35 ] ], 1, "421:12", [ "Z", 421, 1 ],
8196  [ [ [ Z(421)^35 ] ] ] ],
8197[ 12, 5894, 2, "1", [ [ 14, 30 ] ], 1, "421:14", [ "Z", 421, 1 ],
8198  [ [ [ Z(421)^30 ] ] ] ],
8199[ 13, 6315, 2, "1", [ [ 15, 28 ] ], 1, "421:15", [ "Z", 421, 1 ],
8200  [ [ [ Z(421)^28 ] ] ] ],
8201[ 14, 8420, 2, "1", [ [ 20, 21 ] ], 1, "421:20", [ "Z", 421, 1 ],
8202  [ [ [ Z(421)^21 ] ] ] ],
8203[ 15, 8841, 2, "1", [ [ 21, 20 ] ], 1, "421:21", [ "Z", 421, 1 ],
8204  [ [ [ Z(421)^20 ] ] ] ],
8205[ 16, 11788, 2, "1", [ [ 28, 15 ] ], 1, "421:28", [ "Z", 421, 1 ],
8206  [ [ [ Z(421)^15 ] ] ] ],
8207[ 17, 12630, 2, "1", [ [ 30, 14 ] ], 1, "421:30", [ "Z", 421, 1 ],
8208  [ [ [ Z(421)^14 ] ] ] ],
8209[ 18, 14735, 2, "1", [ [ 35, 12 ] ], 1, "421:35", [ "Z", 421, 1 ],
8210  [ [ [ Z(421)^12 ] ] ] ],
8211[ 19, 17682, 2, "1", [ [ 42, 10 ] ], 1, "421:42", [ "Z", 421, 1 ],
8212  [ [ [ Z(421)^10 ] ] ] ],
8213[ 20, 25260, 2, "1", [ [ 60, 7 ] ], 1, "421:60", [ "Z", 421, 1 ],
8214  [ [ [ Z(421)^7 ] ] ] ],
8215[ 21, 29470, 2, "1", [ [ 70, 6 ] ], 1, "421:70", [ "Z", 421, 1 ],
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8267        (146,234,284,170,268,361,163,408)(153,198,254,389,368,409,297,171)
8268        (165,375,319,255,282,315,248,242)(178,232,354,274,388,370,298,266)
8269        (184,373,377,321,423,192,415,275)(203,385),
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8272        (  3,206,289, 51,152,313,249,382,205,404,231,168,276,250,390,281)
8273        (  4,119, 45,133,  7,244,226,157, 32,102,241, 76,121,210, 95,414)
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8277        ( 10,238,332,199,230,266,234,260,221,400, 26,380, 61,377,265,375)
8278        ( 11,315,217,386,261,148,128,170,342,183,286,298, 46,215,393,172)
8279        ( 13,203,110,259,222,129, 90,257, 43, 30,325, 88,247,139, 70, 65)
8280        ( 14,314,233,411,105,132,333,209, 27,370, 25,389,394, 87,122, 92)
8281        ( 16,190,328,174,312,424,356, 58,306,254,100,158,186,403,141,271)
8282        ( 19,219,140, 57,329, 80,223,412,416,388,143,322,176, 94,363,405)
8283        ( 20,267,146, 54, 28,304,163,135,104,251,131,364,309,181,278,243)
8284        ( 21,207, 85,367,193, 23,410,166,245,120,417,116,118,318,291,362)
8285        ( 22,130, 96,337,343,273,307,164,359,224,107, 75,239, 68,346,220)
8286        ( 24, 36, 93,198, 81,200,326,169,323,384,374,275,282,263, 84,201)
8287        ( 29,167,345,270,108,165,360,425,109,235,350,195,372,277,381,409)
8288        ( 31,124,268,361,142,196,407,288,280,369,188,396,408,197, 83, 33)
8289        ( 35,178, 38,385,101,211,242,351,160,352,310,422,295,339,175, 73)
8290        ( 39,316, 99,212, 55,127,232,379,338,185, 72,229,216, 78,153,187)
8291        ( 40,358, 64,279,246,145,136,256,191,228,300,179,402,237, 56,204)
8292        ( 41,301,202,373,285,354,208,189,112,171,334,330,290,269,378,227)
8293        ( 47,255,423,419,331,115, 98,236,213,341,368,161,335, 62,383,253)
8294        ( 49,113, 82,303,319,340,214,320,347,150,418,294,180, 53,283,324)
8295        ( 52,103,252,297, 97,147, 66,365,156,305, 59,336,308,126,111,159)
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8393        (  3,203, 21,207,262,369, 32,388, 95,235, 74,384,283,431, 64)
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8395        (  5,425,140,268, 78, 23,135,256,104,420,138,178, 87, 58,197)
8396        (  6,382,301,134, 54,179,130, 42,214,210,333,222, 76,216,107)
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8398        (  9,272,188, 93, 89,336,189,133,193,396,371,223, 45,215,353)
8399        ( 10,289,286,350,209,399,147,124, 60,199,255, 27,316,126,389)
8400        ( 12,305,424,176,118, 57,282,367,112,182,153,251,344, 37,154)
8401        ( 13,287,421,219,170,191, 31,103,260,291, 69, 52, 66,397, 68)
8402        ( 14,401,141,320, 38,266, 35,184,233,418, 65,317, 88,281, 61)
8403        ( 16,167,241,412,264, 79,221,226,329,365,423,101,186,434,395)
8404        ( 17,354, 40,259,339,374,161, 43,190,213,229,242,332,156, 53)
8405        ( 18,390, 55,343,398,346, 73, 96,366, 51,192,309,273,419,204)
8406        ( 20,173,347,239,144,145,248,125,306,106,150,387,304,315,105)
8407        ( 22,114,171,236,151, 63,279,148,417,230,142,386,307,257,174)
8408        ( 24,378,409,325,225,310,200,324,355,247,340,435, 92, 71,232)
8409        ( 25,308,109,115,375,370,372,322,338,368,410, 30,158,217,392)
8410        ( 26,163,102,380,312,157,181,208,234, 81,269,202, 77, 44,136)
8411        ( 29, 75,405,296,408,363,146,294,206,275,280,377,149,250,164)
8412        ( 33,152,198,245,249,428,381,300,139,341,238,404,299,121,433)
8413        ( 34,285,277, 82,205, 80,271,430,129,131, 50,258,323,337,155)
8414        ( 41,413, 48, 59,244, 86, 85,414,403,393,183,364,411, 46,177)
8415        ( 47, 99,385,352,334,143,228,218,128,313,335,243,120,196,117)
8416        ( 62,165,284,422,237,119,169,416,426,376,383,407,195,351,311)
8417        ( 67,160,137,270, 90,274,298,331,319,292,127, 72, 91,290,362)
8418        ( 84,359,358,360,278,321,267,276,227,132,303, 94,185, 98,175)
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8422         268, 40,352,244,144,336,167,327,265,134,299,345,400,301,404,288,212,
8423         186,303,312,156,363, 41,178)(  4,252,272,281,145, 21, 72,399,140, 87,
8424         289,142,262,380,320,175,253,109, 19,409, 65,174,335,395,250,331, 35,
8425         435,375)(  5,286,237,234,221,127, 92, 52,121,218,434,233, 16, 75,382,
8426         421,378,386,226, 20,195,209,197,111,368,261,348,394,  7)
8427        (  6, 67,225,293,148,362,110,247,279,433,267,143,323, 79, 13,190,322,
8428         133,159,326,168,227,113,393,397,329,271,296,396)(  8,304,316,155,298,
8429         229, 27,391,291,406, 55,388, 11, 68,217, 64,343,108,170,194,255,414,
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8431         305, 97,165,297,232,338, 62, 83,153,258,415,161,377,135,239, 91, 60,
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8433         381, 73,410,246,204,214,407, 48,171,181, 38,413,366,353)
8434        ( 14,259,344,310, 44,129, 94,405, 54,256,238,228, 89, 50,150,355,154,
8435         177,401,130,215, 95,180,151,137, 39,431,358,139)( 15, 61,152, 49,379,
8436         115,216,141,172,102,282,106,408,284, 31,220,403,231,416,376,330,213,
8437         356,103,311,334,136, 57,248)( 18,350,346,254,428,100,242,370,128,337,
8438         387,149,292, 63,341,182,424,179,160,307,243, 77, 80, 29,402, 85,361,
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8440         116,418,184,201,162, 69,313,223,169,274,249,117,317,309)
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8443         321,208,412,314,206, 42,367,166,389,324, 76,207,198,200,124,123,118,
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8445         183,112,236,158,211,241,419,339,235,385,146,283, 46, 96,101,318,263,
8446         270,176) ] ],
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8453         142, 90,278, 43, 11, 40,120,315,340, 62,212,291,349,418,410)
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8455          69,228,171, 45,147,259,275, 73,200,300,424)(  7, 29,113,267,346,386,
8456         151, 42,153,365,186,182, 33,127,270,366,188, 25, 99,122,233,384,387,
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8458         36,130,209,230,117, 18, 72,236,419,405,274,255,152,194,304, 15)
8459        (  9, 28,110,271,163,377,202,379,265,235,369,342, 39,145,143, 20, 80,
8460         254,348,227,399,154,249,264,241,134, 57,199)( 12, 49,174,169,382,108,
8461         75,242,285,217,413,252,318,116,321,269,225, 58,119,323,306,137,139,
8462         350,282,126,336,385)( 13, 54, 70,112,125,196,219,296, 81,251,375,245,
8463         31,121,231,239,262,332,374,362,357, 22, 86, 46, 74, 44,159,210)
8464        ( 16, 35,132, 26, 63, 97,292,173,353,320,221,416,325,284)
8465        ( 27,107,307,234,155,237,420,409,248, 93,211,400,415,213,402, 50,177,
8466          47,168,381,422, 67, 30,118,164,360,289, 37)( 32,124, 95,266,197,370,
8467         131,343,309,298,156,160,111,313,215,412,303,294, 83,257,411,417, 55,
8468         192,277,263,104, 38)( 48,170,201,223,364,179,388,198, 53,185,302,421,
8469         190, 65,133,286,290,398,432,206,406,128,338, 51,114,316,359, 61)
8470        ( 68,226,383,433,232,324,214,311,395,103,301,276,138,144,172,109,141,
8471         354,166,328,393,184,394,391, 77, 87,272,428)( 71,204,355,352,167,176,
8472         102, 98,295,429,356,426,345,288,431, 88,203,253,326,165,373,427,322,
8473         371,105,305, 79,250)(101,299,396,390,308,205,351,148,327,191,150,123,
8474         330,181,287,162,331,407,430,297,273,175,333,423,189,106,208,358),
8475      (  1,  3, 11)(  2,  6, 25)(  4, 15, 61)(  5, 20, 81)(  7, 30,119)
8476        (  8, 35, 34)(  9, 38,142)( 10, 42,154)( 12, 50,178)( 13, 55,193)
8477        ( 14, 57,200)( 16, 65,219)( 17, 70, 96)( 18, 73,240)( 19, 77, 22)
8478        ( 21, 86,268)( 23, 93,285)( 24, 97,261)( 26,103,106)( 27,108,231)
8479        ( 28,111,232)( 29,114,194)( 31,122,328)( 32,125,334)( 33,110,295)
8480        ( 36,136,259)( 37,139,124)( 39,130,341)( 40,147,145)( 41,150,172)
8481        ( 43,153,292)( 44,160,296)( 45,162,376)( 46,105,302)( 47,169,347)
8482        ( 48,171,266)( 49,175,107)( 51,181,222)( 52,184,395)( 53,186,283)
8483        ( 54,167,218)( 56,195,246)( 58, 72,237)( 59,204,158)( 60,207,272)
8484        ( 62,213,323)( 63,215,176)( 64,151,191)( 66,221,267)( 67,225,417)
8485        ( 68,227,398)( 69,229,416)( 71,234,306)( 74,241,244)( 75,243,409)
8486        ( 76,245,324)( 78,131,344)( 79,251,338)( 80,255,414)( 82, 98,138)
8487        ( 83,260,330)( 84,262,389)( 85,264,224)( 87,156,369)( 88,274,354)
8488        ( 89,276,247)( 90,101,300)( 91,281,359)( 92,250,128)( 94,288,104)
8489        ( 95,291,270)( 99,123,133)(100,298,313)(102,203,363)(109,205,317)
8490        (112,314,326)(113,305,365)(115,320,379)(116,265,400)(117,199,135)
8491        (118,318,322)(120,179,129)(121,327,418)(126,280,420)(127,337,433)
8492        (132,159,206)(134,299,345)(137,182,360)(140,351,386)(141,355,367)
8493        (143,356,287)(144,161,373)(146,303,366)(148,362,340)(149,258,238)
8494        (152,188,375)(155,242,316)(157,212,411)(163,173,378)(164,174,349)
8495        (165,297,368)(166,380,216)(168,217,183)(170,383,403)(177,385,353)
8496        (180,343,391)(185,310,396)(187,392,388)(189,352,419)(190,263,406)
8497        (192,342,435)(196,230,315)(197,390,361)(198,248,252)(201,319,335)
8498        (202,290,377)(208,407,275)(209,210,410)(211,269,374)(214,412,236)
8499        (220,278,426)(223,372,428)(226,286,399)(228,279,387)(233,357,301)
8500        (235,401,431)(239,273,249)(253,309,325)(254,423,332)(256,415,336)
8501        (257,424,364)(271,307,382)(277,429,293)(282,311,422)(284,430,393)
8502        (289,413,312)(294,339,358)(304,370,331)(308,384,432)(321,333,402)
8503        (329,421,371)(346,425,348)(350,394,381)(397,427,408)(404,405,434) ] ],
8504[ 3, 132626429906095529318154240000000, 1, "2", [ [ 56, 1 ], [ 378, 1 ] ], 1,
8505  "Alt(30)", [ "A", 30, 1 ],
8506  [ (  2,  3,  5,  7, 11, 15, 21, 27, 35, 43, 53, 63, 75, 87,101,115,131,147,
8507         165,183,203,223,245,267,291,315,341,367)(  4,  6,  9, 12, 17, 22, 29,
8508         36, 45, 54, 65, 76, 89,102,117,132,149,166,185,204,225,246,269,292,
8509         317,342,369,395)(  8, 13, 19, 25, 33, 41, 51, 61, 73, 85, 99,113,129,
8510         145,163,181,201,221,243,265,289,313,339,365,393,420,368,396)
8511        ( 10, 14, 20, 26, 34, 42, 52, 62, 74, 86,100,114,130,146,164,182,202,
8512         222,244,266,290,314,340,366,394,421,435,422)( 16, 23, 31, 39, 49, 59,
8513         71, 83, 97,111,127,143,161,179,199,219,241,263,287,311,337,363,391,
8514         418,316,343,371,398)( 18, 24, 32, 40, 50, 60, 72, 84, 98,112,128,144,
8515         162,180,200,220,242,264,288,312,338,364,392,419,434,370,397,423)
8516        ( 28, 37, 47, 57, 69, 81, 95,109,125,141,159,177,197,217,239,261,285,
8517         309,335,361,389,416,268,293,319,345,373,400)( 30, 38, 48, 58, 70, 82,
8518         96,110,126,142,160,178,198,218,240,262,286,310,336,362,390,417,433,
8519         318,344,372,399,424)( 44, 55, 67, 79, 93,107,123,139,157,175,195,215,
8520         237,259,283,307,333,359,387,414,224,247,271,295,321,347,375,402)
8521        ( 46, 56, 68, 80, 94,108,124,140,158,176,196,216,238,260,284,308,334,
8522         360,388,415,432,270,294,320,346,374,401,425)( 64, 77, 91,105,121,137,
8523         155,173,193,213,235,257,281,305,331,357,385,412,184,205,227,249,273,
8524         297,323,349,377,404)( 66, 78, 92,106,122,138,156,174,194,214,236,258,
8525         282,306,332,358,386,413,431,226,248,272,296,322,348,376,403,426)
8526        ( 88,103,119,135,153,171,191,211,233,255,279,303,329,355,383,410,148,
8527         167,187,207,229,251,275,299,325,351,379,406)( 90,104,120,136,154,172,
8528         192,212,234,256,280,304,330,356,384,411,430,186,206,228,250,274,298,
8529         324,350,378,405,427)(116,133,151,169,189,209,231,253,277,301,327,353,
8530         381,408)(118,134,152,170,190,210,232,254,278,302,328,354,382,409,429,
8531         150,168,188,208,230,252,276,300,326,352,380,407,428),
8532      (  1,  2,  4)(  3,  6, 10)(  5,  8,  9)(  7, 12, 18)( 11, 16, 17)
8533        ( 15, 22, 30)( 21, 28, 29)( 27, 36, 46)( 35, 44, 45)( 43, 54, 66)
8534        ( 53, 64, 65)( 63, 76, 90)( 75, 88, 89)( 87,102,118)(101,116,117)
8535        (115,132,150)(131,148,149)(147,166,186)(165,184,185)(183,204,226)
8536        (203,224,225)(223,246,270)(245,268,269)(267,292,318)(291,316,317)
8537        (315,342,370)(341,368,369)(367,395,422) ] ],
8538[ 4, 265252859812191058636308480000000, 0, "2", [ [ 56, 1 ], [ 378, 1 ] ], 1,
8539  "Sym(30)", [ "A", 30, 1 ],
8540  [ (  1,  2,  3,  5,  7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
8541          91,101,111,122,133,145,157,170,183,197,211,226)(  4,  6,  8, 11, 14,
8542         18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,
8543         158,171,184,198,212,227,242,241)(  9, 12, 15, 19, 23, 28, 33, 39, 45,
8544         52, 59, 67, 75, 84, 93,103,113,124,135,147,159,172,185,199,213,228,
8545         243,258,257,272)( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,
8546         104,114,125,136,148,160,173,186,200,214,229,244,259,274,273,288,303)
8547        ( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,161,
8548         174,187,201,215,230,245,260,275,290,289,304,319,334)( 36, 42, 48, 55,
8549         62, 70, 78, 87, 96,106,116,127,138,150,162,175,188,202,216,231,246,
8550         261,276,291,306,305,320,335,350,365)( 49, 56, 63, 71, 79, 88, 97,107,
8551         117,128,139,151,163,176,189,203,217,232,247,262,277,292,307,322,321,
8552         336,351,366,380,392)( 64, 72, 80, 89, 98,108,118,129,140,152,164,177,
8553         190,204,218,233,248,263,278,293,308,323,338,337,352,367,381,393,403,
8554         412)( 81, 90, 99,109,119,130,141,153,165,178,191,205,219,234,249,264,
8555         279,294,309,324,339,354,353,368,382,394,404,413,420,426)
8556        (100,110,120,131,142,154,166,179,192,206,220,235,250,265,280,295,310,
8557         325,340,355,370,369,383,395,405,414,421,427,431,434)(121,132,143,155,
8558         167,180,193,207,221,236,251,266,281,296,311,326,341,356,371,349,364,
8559         379,391,402,411,419,425,430,433,435)(144,156,168,181,194,208,222,237,
8560         252,267,282,297,312,327,342,357,372,384,318,333,348,363,378,390,401,
8561         410,418,424,429,432)(169,182,195,209,223,238,253,268,283,298,313,328,
8562         343,358,373,385,396,287,302,317,332,347,362,377,389,400,409,417,423,
8563         428)(196,210,224,239,254,269,284,299,314,329,344,359,374,386,397,406,
8564         256,271,286,301,316,331,346,361,376,388,399,408,416,422)
8565        (225,240,255,270,285,300,315,330,345,360,375,387,398,407,415),
8566      (  2,  4)(  6,  9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
8567        ( 90,100)(110,121)(132,144)(156,169)(182,196)(210,225)(226,241)
8568        (240,256)(242,257)(258,273)(271,287)(274,289)(290,305)(302,318)
8569        (306,321)(322,337)(333,349)(338,353)(354,369)(364,370) ] ],
8570[5, Factorial(435)/2,1,"2",[[434,1]],433, "Alt(435)", ["A",435, 1], "Alt"],
8571[6, Factorial(435),0,"2",[[434, 1]],435, "Sym(435)", ["A",435, 1], "Sym"]];
8572PRIMGRP[436]:=
8573[[1, Factorial(436)/2,1,"2",[[435,1]],434, "Alt(436)", ["A",436, 1], "Alt"],
8574[2, Factorial(436),0,"2",[[435, 1]],436, "Sym(436)", ["A",436, 1], "Sym"]];
8575PRIMGRP[437]:=
8576[[1, Factorial(437)/2,1,"2",[[436,1]],435, "Alt(437)", ["A",437, 1], "Alt"],
8577[2, Factorial(437),0,"2",[[436, 1]],437, "Sym(437)", ["A",437, 1], "Sym"]];
8578PRIMGRP[438]:=
8579[[1, Factorial(438)/2,1,"2",[[437,1]],436, "Alt(438)", ["A",438, 1], "Alt"],
8580[2, Factorial(438),0,"2",[[437, 1]],438, "Sym(438)", ["A",438, 1], "Sym"]];
8581PRIMGRP[439]:=
8582[[1, Factorial(439)/2,1,"2",[[438,1]],437, "Alt(439)", ["A",439, 1], "Alt"],
8583[2, Factorial(439),0,"2",[[438, 1]],439, "Sym(439)", ["A",439, 1], "Sym"],
8584[ 3, 439, 3, "1", [ [ 1, 438 ] ], 1, "C(439)", [ "Z", 439, 1 ], [  ] ],
8585[ 4, 878, 2, "1", [ [ 2, 219 ] ], 1, "D(2*439)", [ "Z", 439, 1 ],
8586  [ [ [ Z(439)^219 ] ] ] ],
8587[ 5, 1317, 2, "1", [ [ 3, 146 ] ], 1, "439:3", [ "Z", 439, 1 ],
8588  [ [ [ Z(439)^146 ] ] ] ],
8589[ 6, 2634, 2, "1", [ [ 6, 73 ] ], 1, "439:6", [ "Z", 439, 1 ],
8590  [ [ [ Z(439)^73 ] ] ] ],
8591[ 7, 32047, 2, "1", [ [ 73, 6 ] ], 1, "439:73", [ "Z", 439, 1 ],
8592  [ [ [ Z(439)^6 ] ] ] ],
8593[ 8, 64094, 2, "1", [ [ 146, 3 ] ], 1, "439:146", [ "Z", 439, 1 ],
8594  [ [ [ Z(439)^3 ] ] ] ],
8595[ 9, 96141, 2, "1", [ [ 219, 2 ] ], 1, "439:219", [ "Z", 439, 1 ],
8596  [ [ [ Z(439)^2 ] ] ] ],
8597[ 10, 192282, 2, "1", [ [ 438, 1 ] ], 2, "AGL(1, 439)", [ "Z", 439, 1 ],
8598  [ [ [ Z(439) ] ] ] ]];
8599PRIMGRP[440]:=
8600[[ 1, 42302040, 1, "2", [ [ 439, 1 ] ], 2, "PSL(2, 439)",
8601  [ "L", [ 2, 439 ], 1 ], "psl" ],
8602[ 2, 84604080, 0, "2", [ [ 439, 1 ] ], 3, "PGL(2, 439)",
8603  [ "L", [ 2, 439 ], 1 ], "pgl" ],
8604[3, Factorial(440)/2,1,"2",[[439,1]],438, "Alt(440)", ["A",440, 1], "Alt"],
8605[4, Factorial(440),0,"2",[[439, 1]],440, "Sym(440)", ["A",440, 1], "Sym"]];
8606PRIMGRP[441]:=
8607[[ 1, 12700800, 0, "4c", [ [ 100, 2 ], [ 200, 1 ], [ 20, 2 ] ], 1,
8608  "Alt(7) wreath Sym(2)", [ "A", 7, 2 ],
8609  [ (  1,181,126,340,387,213,197,425,305,133,159, 83,325,248)(  2,265,124,403,
8610         394, 45,204,278,300,364,161, 41,333,101)(  3,202,110,298,385,150,209,
8611         320,311,  7,160,125,319,395)(  4,391,108,193,383,297,196,152,314,322,
8612         164, 20,328,122)(  5,307,112,151,398,318,206)(  6,370,119, 25,396,
8613          87,191,257,313,406,163, 62,330,290)(  8,433,116,130,390, 66,199,236,
8614         295,175,168,356,324,227)(  9,223,113,424,389,129,201, 68,304,238,148,
8615         188,336,353)( 10,244,106,172,399,339,198,215,302,427,158,146,327, 80)
8616        ( 11,139,117, 67,388,234,190,173,315,343,156,230,323,437)
8617        ( 12, 76,115,235,379,171,210,341,303,217,155,440,326,143)
8618        ( 13,118,109,382,381,192,194,299,301,154,167,335,332, 17)
8619        ( 14, 34,123, 88,380,255,208,404,310, 49,162,293,321,374)
8620        ( 15,286,111,361,392, 24,207, 89,296,259,166,419,331, 59)
8621        ( 16, 55,120,277,384,360,203, 26,312, 91,149,272,334,416)
8622        ( 18, 97,107,256,397,402,205, 47,309,280,153,377,329, 38)
8623        ( 19,412,121, 46,393,276,195,362,308, 28,165,104,317,269)
8624        ( 21,349,114,214,386,423,200,131,306, 70,157,251,316,185)
8625        ( 22,186,105,338,261,229,407,436, 53,141,285, 69,367,245)
8626        ( 23,270,103,401,268, 61,414,289, 48,372,287, 27,375, 98)
8627        ( 29,438, 95,128,264, 82,409,247, 43,183,294,342,366,224)
8628        ( 30,228, 92,422,263,145,411, 79, 52,246,274,174,378,350)
8629        ( 31,249, 85,170,273,355,408,226, 50,435,284,132,369, 77)
8630        ( 32,144, 96, 65,262,250,400,184, 63,351,282,216,365,434)
8631        ( 33, 81, 94,233,253,187,420,352, 51,225,281,426,368,140)
8632        ( 35, 39,102, 86,254,271,418,415, 58, 57,288,279,363,371)
8633        ( 36,291, 90,359,266, 40,417,100, 44,267,292,405,373, 56)
8634        ( 37, 60, 99,275,258,376,413)( 42,354, 93,212,260,439,410,142, 54, 78,
8635         283,237,358,182)( 64,178,252,337,177,231,344,429,221,134,432, 74,136,
8636         243)( 71,430,242,127,180, 84,346,240,211,176,441,347,135,222)
8637        ( 72,220,239,421,179,147,348)( 73,241,232,169,189,357,345,219,218,428,
8638         431,137,138, 75), (  1,228,413,268,200, 26,424,129,159,380,103, 80,
8639         183,241)(  2,102,416,184,199,  5,438,402,163,191, 89,437,171,157)
8640        (  3,165,401,100,206,173,430)(  4,144,411,394,208, 68,435,234,148,212,
8641         98,269,179, 31)(  6, 60,420,331,209,110,433,360,154,338, 93,311,176,
8642         283)(  7,354,408,310,197,278,426, 45,168,317,104,122,181,367)
8643        (  8,291,405, 58,210,320,440,108,160,359, 91,353,177,304)
8644        (  9,312,407,289,195, 47,441,318,167,107, 97,374,175,346)
8645        ( 10, 18,417,415,205,194,425,423,150,149, 86,101,185,178)
8646        ( 11, 39,403,142,201,383,439, 66,162,233, 85,227,182,262)
8647        ( 12,396,418, 79,204,236,421,213,161,254, 95, 38,172,136)
8648        ( 13,375,406,352,198,299,428,276,153, 44,105,332,188,115)
8649        ( 14,270,410, 37,193,131,432,381,166, 65, 99,248,169,220)
8650        ( 15,249,400,226,203,257,431, 24,151,128, 96,395,187, 73)
8651        ( 16,207,404,436,192,152,422, 87,164,170, 94, 17,186,409)
8652        ( 19, 81,414,247,190,215,434,255,158, 23, 88,143,180,388)
8653        ( 20,123,412,373,196,341,429,297,155,275, 90, 59,189,325)
8654        ( 21,333,419,121,202,362,427,339,156,296, 92,290,174, 52)
8655        ( 22,214,140,264,389, 40, 67,141,243,379,229, 77,267,242)
8656        ( 25,130,138,390,397, 82, 78,246,232,211,224,266,263, 32)
8657        ( 27, 46,147,327,398,124, 76,372,238,337,219,308,260,284)
8658        ( 28,340,135,306,386,292, 69, 57,252,316,230,119,265,368)
8659        ( 29,277,132, 54,399,334, 83,120,244,358,217,350,261,305)
8660        ( 30,298,134,285,384, 61, 84,330,251,106,223,371,259,347)
8661        ( 33,382,145, 75,393,250, 64,225,245,253,221, 35,256,137)
8662        ( 34,361,133,348,387,313, 71,288,237, 43,231,329,272,116)
8663        ( 36,235,127,222,392,271, 74)( 41,109,139,369,385,355, 72,309,239,274,
8664         216, 56,273,326)( 42,319,146,117,391,376, 70,351,240,295,218,287,258,
8665         53)( 48, 63,336,335,125,118,370,364,343,345,303,302,281,279)
8666        ( 49,357,324,314,113,286,363)( 50,294,321, 62,126,328,377,112,349,366,
8667         301,344,282,300)( 51,315,323,293,111, 55,378,322,356,114,307,365,280,
8668         342) ] ],
8669[ 2, 25401600, 0, "4c", [ [ 100, 2 ], [ 200, 1 ], [ 20, 2 ] ], 1,
8670  "Alt(7)^2.2^2", [ "A", 7, 2 ],
8671  [ (  1, 58,286)(  2, 49,294, 20, 50,283)(  3, 53,276, 11, 45,284)
8672        (  4, 60,277, 18, 46,291)(  5, 61,279)(  6, 47,292)(  7, 63,293,  8,
8673          52,275)(  9, 51,282)( 10, 44,280, 21, 62,281)( 12, 56,290)
8674        ( 13, 43,289)( 14, 59,285)( 15, 57,288)( 16, 55,274)( 17, 54,287)
8675        ( 19, 48,278)( 22,394,244,169,163,265)( 23,385,252,188,155,262)
8676        ( 24,389,234,179,150,263)( 25,396,235,186,151,270)( 26,397,237,173,
8677         166,258)( 27,383,250,174,152,271)( 28,399,251,176,157,254)
8678        ( 29,388,233,175,168,272)( 30,387,240,177,156,261)( 31,380,238,189,
8679         167,260)( 32,381,242,171,158,255)( 33,392,248,180,161,269)
8680        ( 34,379,247,181,148,268)( 35,395,243,182,164,264)( 36,393,246,183,
8681         162,267)( 37,391,232,184,160,253)( 38,390,245,185,159,266)
8682        ( 39,382,249,172,165,256)( 40,384,236,187,153,257)( 41,386,241,170,
8683         154,273)( 42,398,239,178,149,259)( 64,436,349,106,100,328)
8684        ( 65,427,357,125, 92,325)( 66,431,339,116, 87,326)( 67,438,340,123,
8685          88,333)( 68,439,342,110,103,321)( 69,425,355,111, 89,334)
8686        ( 70,441,356,113, 94,317)( 71,430,338,112,105,335)( 72,429,345,114,
8687          93,324)( 73,422,343,126,104,323)( 74,423,347,108, 95,318)
8688        ( 75,434,353,117, 98,332)( 76,421,352,118, 85,331)( 77,437,348,119,
8689         101,327)( 78,435,351,120, 99,330)( 79,433,337,121, 97,316)
8690        ( 80,432,350,122, 96,329)( 81,424,354,109,102,319)( 82,426,341,124,
8691          90,320)( 83,428,346,107, 91,336)( 84,440,344,115, 86,322)
8692        (127,373,307,190,415,223)(128,364,315,209,407,220)(129,368,297,200,
8693         402,221)(130,375,298,207,403,228)(131,376,300,194,418,216)
8694        (132,362,313,195,404,229)(133,378,314,197,409,212)(134,367,296,196,
8695         420,230)(135,366,303,198,408,219)(136,359,301,210,419,218)
8696        (137,360,305,192,410,213)(138,371,311,201,413,227)(139,358,310,202,
8697         400,226)(140,374,306,203,416,222)(141,372,309,204,414,225)
8698        (142,370,295,205,412,211)(143,369,308,206,411,224)(144,361,312,193,
8699         417,214)(145,363,299,208,405,215)(146,365,304,191,406,231)
8700        (147,377,302,199,401,217), (  1,332, 85,331,253,321,127,319)
8701        (  2,248, 97,184,264,279,135,361)(  3,416,105,121,266,384,131,193)
8702        (  4, 17,101,100,268,258,132,130)(  5,206, 87,415,273,111,140,382)
8703        (  6,143, 88, 16,269, 90,142,256)(  7,437, 95,310,267, 27,136, 46)
8704        (  8,353,103,226,260,342,145,214)(  9,374, 86,247,265,174,138,277)
8705        ( 10, 59, 91,436,263,300,141, 25)( 11,311, 99, 37,262, 48,133,424)
8706        ( 12,290, 93,373,254,237,139,172)( 13,185, 96,289,261,363,128,235)
8707        ( 14,395, 89,205,255,405,147,109)( 15, 38, 94, 58,259,426,137,298)
8708        ( 18, 80,104,163,270, 69,146,151)( 19,227, 92,352,271,216,134,340)
8709        ( 20,164,102, 79,272,153,144, 67)( 21,122, 98,394,257,195,129,403)
8710        ( 22,325, 43,322,421,326,295,330)( 23,241, 55,175,432,284,303,372)
8711        ( 24,409, 63,112,434,389,299,204)( 26,199, 45,406,441,116,308,393)
8712        ( 28,430, 53,301,435, 32,304, 57)( 29,346, 61,217,428,347,313,225)
8713        ( 30,367, 44,238,433,179,306,288)( 31, 52, 49,427,431,305,309, 36)
8714        ( 33,283, 51,364,422,242,307,183)( 34,178, 54,280,429,368,296,246)
8715        ( 35,388, 47,196,423,410,315,120)( 39, 73, 62,154,438, 74,314,162)
8716        ( 40,220, 50,343,439,221,302,351)( 41,157, 60, 70,440,158,312, 78)
8717        ( 42,115, 56,385,425,200,297,414)( 64,335,148,333)( 65,251,160,186,
8718          75,293,156,375)( 66,419,168,123, 77,398,152,207)( 68,209,150,417,
8719          84,125,161,396)( 71,356,166,228)( 72,377,149,249, 76,188,159,291)
8720        ( 81, 83,167,165)( 82,230,155,354)(106,329,379,320,190,318,400,336)
8721        (107,245,391,173,201,276,408,378)(108,413,399,110,203,381,404,210)
8722        (113,350,397,215,197,339,418,231)(114,371,380,236,202,171,411,294)
8723        (117,287,387,362,191,234,412,189)(118,182,390,278,198,360,401,252)
8724        (119,392,383,194,192,402,420,126)(124,224,386,341,208,213,407,357)
8725        (169,327,274,324,358,317,232,328)(170,243,286,177,369,275,240,370)
8726        (176,348,292,219,365,338,250,223)(180,285,282,366,359,233,244,181)
8727        (187,222,281,345,376,212,239,349)(211,323,337,334)(218,344,355,229) ]
8728 ],
8729[ 3, 25401600, 0, "4c", [ [ 100, 2 ], [ 200, 1 ], [ 20, 2 ] ], 1,
8730  "Alt(7)^2.4", [ "A", 7, 2 ],
8731  [ (  1,199, 88,404, 76,146,394,360, 39,227,282,302)(  2,346,105,236, 77,335,
8732         385,171, 32, 59,279,428)(  3, 31,101,278, 71, 20,388, 87, 26, 80,293,
8733         386)(  4,409, 97,131, 79,377,396,213, 30,311,274,197)
8734        (  5, 73,104,383, 66, 41,395,276, 29, 17,283, 92)(  6,430, 86,341, 84,
8735         251,392,318, 28,185,284, 50)(  7,178, 95, 47, 69,440,380,339, 42,248,
8736         287,323)(  8, 10, 94, 89, 68, 83,398,381, 24, 38,290,281)
8737        (  9,304, 85,194, 67,419,391,129, 37,374,291,218)( 11, 52, 90,425, 65,
8738         356,399,234, 35,332,280,176)( 12,262, 99,110, 82,167,390,255, 36,122,
8739         292,155)( 13,136,100,362, 81,230,387,297, 22,206,277,407)
8740        ( 14,325, 91,173, 74, 62,384,423, 23,353,294,239)( 15,115,103,152, 75,
8741         272,393,108, 40,164,285,260)( 16,367,102,215, 72,314,379,192, 25,416,
8742         286,134)( 18,220, 93,299, 64,209,382,402, 34,143,289,365)
8743        ( 19,157, 96,257, 78,125,397,150, 33,269,288,113)( 21,241, 98,320, 70,
8744         188,389, 45, 27,437,275,344)( 43,195,424,401,349,147,247,371,333,217,
8745         177,305)( 44,342,441,233,350,336,238,182,326, 49,174,431)
8746        ( 46,405,433,128,352,378,249,224,324,301,169,200)( 48,426,422,338,357,
8747         252,245,329,322,175,179, 53)( 51,300,421,191,340,420,244,140,331,364,
8748         186,221)( 54,258,435,107,355,168,243,266,330,112,187,158)
8749        ( 55,132,436,359,354,231,240,308,316,196,172,410)( 56,321,427,170,347,
8750         63,237,434,317,343,189,242)( 57,111,439,149,348,273,246,119,334,154,
8751         180,263)( 58,363,438,212,345,315,232,203,319,406,181,137)
8752        ( 60,216,429,296,337,210,235,413,328,133,184,368)( 61,153,432,254,351,
8753         126,250,161,327,259,183,116)(106,208,151,411,265,141,121,376,165,222,
8754         261,309)(109,418,160,138,268,372,123,229,156,306,253,204)
8755        (114,313,148,201,256,414,118,145,163,369,270,225)(117,271,162)
8756        (120,124,166,159,264,267)(127,205,361,417,223,135,310,358,207,214,408,
8757         307)(130,415,370,144,226,366,312,211,198,298,400,202)
8758        (139,142,373,375,228,219,303,295,190,193,403,412),
8759      (  1,124,425,151,186,224,285,246,368,311,337,108, 68,160,396,218,327,
8760         241,200,296)(  2, 19,439,424,172,182,287,288,372,374,353,339, 66, 76,
8761         391,386,323,325,199,191)(  3, 82,433,382,176,329,283,204,359, 17,355,
8762         423, 67,181,392,281,330,367,206,338)(  4,187,434,277,183,371,290,351,
8763         360, 80,349,381, 71,328,388,197,317, 10,208,422)(  5,166,438,214,180,
8764         245,284,309,358,122,341,150, 81,223,390,239,326,304,190,107)
8765        (  6, 40,429, 46,184, 98,280,141,377,416,342, 24, 72, 55,394, 92,322,
8766         136,209,401)(  7,145,440,403,174, 35,282, 57,373,101,343,129, 83,412,
8767         384, 29,324, 52,205, 86)(  8,334,430,193,170, 14,292,435,361,185,350,
8768         276, 78,370,395,344,318, 73,202,380)(  9, 61,436, 88,175,140,293,414,
8769         363, 38,345, 45, 79, 97,385,134,335,409,195, 23)( 11,313,421,109,173,
8770         161,291,225,369,248,347,297, 64,118,383,155,333,220,201,233)
8771        ( 12,250,431,298,169,119,278,162,375,227,348,234, 74,307,379,113,320,
8772         157,207,212)( 13,397,428,319,178,203,275, 15,376,437,340,171, 77,286,
8773         393,365,332,346,192, 65)( 16,103,427,130,188,413,279, 36,366, 59,352,
8774         87, 70,139,398,407,321, 31,198, 44)( 18,229,432,235,179,308,274,120,
8775         362,164,354,213, 75,244,389,302,316,115,194,149)( 20,418,426, 25,177,
8776         56,289, 99,364,143,356,402, 69, 34,387, 50,331, 94,196,128)
8777        ( 21,271,441,256,189,266,294,267,378,269,357,255, 84,265,399,260,336,
8778         262,210,254)( 22,114, 47,163,102,217,138,251,410,300)
8779        ( 26,156, 60,226, 96,238,137,314,400,111)( 27, 30, 51, 58,100, 91,133,
8780         146,419,405)( 28,135, 62,415, 90)( 32,303, 43,121, 89,154,144,230,
8781         411,237)( 33,240, 53,310, 85,112,131,167,417,216)( 37, 93, 49,142,
8782         104,406,132, 41,408, 48)( 39,219, 54,247, 95,301,127,125,404,153)
8783        ( 42,261, 63,268,105,259,147,272,420,258)(106,110,152,165,228,222,243,
8784         242,305,295)(116,299,148,123,215,159,249,221,306,232)
8785        (117,236,158,312,211)(126,257,168,270,231,264,252,263,315,253) ] ],
8786[ 4, 50803200, 0, "4c", [ [ 100, 2 ], [ 200, 1 ], [ 20, 2 ] ], 1,
8787  "Sym(7) wreath Sym(2)", [ "A", 7, 2 ],
8788  [ (  1,103,427)(  2,105,435,  4, 87,428)(  3, 92,422, 21, 99,424)
8789        (  5, 96,437, 10,102,429)(  6, 98,440, 13, 95,436)(  7, 85,439)
8790        (  8, 86,441, 15, 88,423)(  9, 89,432, 17, 94,438)( 11,100,426, 14,
8791         104,433)( 12,101,430, 18, 93,425)( 16, 90,434, 20, 97,431)
8792        ( 19, 91,421)( 22,334,385)( 23,336,393, 25,318,386)( 24,323,380, 42,
8793         330,382)( 26,327,395, 31,333,387)( 27,329,398, 34,326,394)
8794        ( 28,316,397)( 29,317,399, 36,319,381)( 30,320,390, 38,325,396)
8795        ( 32,331,384, 35,335,391)( 33,332,388, 39,324,383)( 37,321,392, 41,
8796         328,389)( 40,322,379)( 43, 82,175)( 44, 84,183, 46, 66,176)
8797        ( 45, 71,170, 63, 78,172)( 47, 75,185, 52, 81,177)( 48, 77,188, 55,
8798          74,184)( 49, 64,187)( 50, 65,189, 57, 67,171)( 51, 68,180, 59, 73,
8799         186)( 53, 79,174, 56, 83,181)( 54, 80,178, 60, 72,173)
8800        ( 58, 69,182, 62, 76,179)( 61, 70,169)(106,166,259)(107,168,267,109,
8801         150,260)(108,155,254,126,162,256)(110,159,269,115,165,261)
8802        (111,161,272,118,158,268)(112,148,271)(113,149,273,120,151,255)
8803        (114,152,264,122,157,270)(116,163,258,119,167,265)(117,164,262,123,
8804         156,257)(121,153,266,125,160,263)(124,154,253)(127,208,406)
8805        (128,210,414,130,192,407)(129,197,401,147,204,403)(131,201,416,136,
8806         207,408)(132,203,419,139,200,415)(133,190,418)(134,191,420,141,193,
8807         402)(135,194,411,143,199,417)(137,205,405,140,209,412)
8808        (138,206,409,144,198,404)(142,195,413,146,202,410)(145,196,400)
8809        (211,313,364)(212,315,372,214,297,365)(213,302,359,231,309,361)
8810        (215,306,374,220,312,366)(216,308,377,223,305,373)(217,295,376)
8811        (218,296,378,225,298,360)(219,299,369,227,304,375)(221,310,363,224,
8812         314,370)(222,311,367,228,303,362)(226,300,371,230,307,368)
8813        (229,301,358)(232,292,343)(233,294,351,235,276,344)(234,281,338,252,
8814         288,340)(236,285,353,241,291,345)(237,287,356,244,284,352)
8815        (238,274,355)(239,275,357,246,277,339)(240,278,348,248,283,354)
8816        (242,289,342,245,293,349)(243,290,346,249,282,341)(247,279,350,251,
8817         286,347)(250,280,337), (  1,247,328,140,378,302, 65, 33)
8818        (  2, 37,316,245,370,134, 84,306)(  3, 58,335,350,366, 92, 73,201)
8819        (  4,163,332,413,361,155, 80,411)(  5,184,322,266,362,176, 70,264)
8820        (  6,121,333,287,376,218, 78,432)(  7,268,320,182,364,260, 68,180)
8821        (  8, 79,327, 14,373,323, 77,369)(  9,100,325,203,360, 50, 83,348)
8822        ( 10,205,318, 56,377,344, 72, 96)( 11,394,326,392,368,386, 74,390)
8823        ( 12, 16,331,329,371,365, 71, 75)( 13,142,336,308,359, 29, 64,243)
8824        ( 15,436,321,119,375,281, 82,222)( 17,415,319,161,374,407, 67,159)
8825        ( 18,289,334,224,372,428, 69,117)( 19,226,330,434,363,113, 81,285)
8826        ( 20,352,324, 98,367,197, 66, 54)( 21,310,317, 35,358,239, 76,138)
8827        ( 22,232,244,139,147,315,296, 23)( 24, 43,251,349,135,105,304,191)
8828        ( 25,148,248,412,130,168,311,401)( 26,169,238,265,131,189,301,254)
8829        ( 27,106,249,286,145,231,309,422)( 28,253,236,181,133,273,299,170)
8830        ( 30, 85,241,202,129, 63,314,338)( 31,190,234, 55,146,357,303, 86)
8831        ( 32,379,242,391,137,399,305,380)( 34,127,252,307,128, 42,295,233)
8832        ( 36,421,237,118,144,294,313,212)( 38,400,235,160,143,420,298,149)
8833        ( 39,274,250,223,141,441,300,107)( 40,211,246,433,132,126,312,275)
8834        ( 41,337,240, 97,136,210,297, 44)( 45, 62,356,345, 93, 94,199,192)
8835        ( 46,167,353,408, 88,157,206,402)( 47,188,343,261, 89,178,196,255)
8836        ( 48,125,354,282,103,220,204,423)( 49,272,341,177, 91,262,194,171)
8837        ( 51,104,346,198, 87, 52,209,339)( 53,398,347,387, 95,388,200,381)
8838        ( 57,440,342,114,102,283,208,213)( 59,419,340,156,101,409,193,150)
8839        ( 60,293,355,219, 99,430,195,108)( 61,230,351,429, 90,115,207,276)
8840        (109,165,290,418,214,162,437,405)(110,186,280,271,215,183,427,258)
8841        (111,123,291,292,229,225,435,426)(112,270,278,187,217,267,425,174)
8842        (116,396,284,397,221,393,431,384)(120,438,279,124,228,288,439,216)
8843        (122,417,277,166,227,414,424,153)(151,164,416,403)(152,185,406,256)
8844        (154,269,404,172)(158,395,410,382)(173,175,259,257)(179,385,263,383)
8845     ] ],
8846[ 5, 812851200, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1,
8847  "PSL(3, 4) wreath Sym(2)", [ "L", [ 3, 4 ], 2 ],
8848  [ (  1,337,356, 41, 28, 91, 94,304,300,  6)(  2, 43,341,146, 25,427,103,115,
8849         310,237)(  3,169,351, 83, 39,154,101,388,302,216)(  4,421,355,125,
8850          37,238, 86, 52,299,132)(  5,127,340,440, 40,112,100,241,296, 48)
8851        (  7, 85,346,314, 27)(  8,211,339,188, 36, 70,102,157,311,384)
8852        (  9,400,357,209, 35,364, 96,325,307,258)( 10,295,342, 20, 22,343,104,
8853         31,301, 90)( 11,274,347,293, 32,280, 95,283,305,279)( 12,316,349,272,
8854         30,406,105,199,308,363)( 13,253,345,419, 42,196, 98,367,306,321)
8855        ( 14,358,348,335, 34,259, 93,409,315,195)( 15, 64,354,167, 38,385, 92,
8856         220,297,174)( 16,232,338, 62, 26,133, 88,430,313,111)
8857        ( 17,379,344,230, 24,175, 99, 73,312,153)( 18,148,353,398, 29,217, 87,
8858         178,309, 69)( 19,106,352,251, 23, 49, 89,136,298,426)
8859        ( 21,190,350,377, 33,322, 97,262,303,405)( 44, 47,131,130,424,439,124,
8860         121,247,233)( 45,173,141, 67,438,166,122,394,239,212)
8861        ( 46,425,145,109,436,250,107, 58,236,128)( 50,215,129,172,435, 82,123,
8862         163,248,380)( 51,404,147,193,434,376,117,331,244,254)
8863        ( 53,278,137,277,431,292,116,289,242,275)( 54,320,139,256,429,418,126,
8864         205,245,359)( 55,257,135,403,441,208,119,373,243,317)
8865        ( 56,362,138,319,433,271,114,415,252,191)( 57, 68,144,151,437,397,113,
8866         226,234,170)( 59,383,134,214,423,187,120, 79,249,149)
8867        ( 60,152,143,382,428,229,108,184,246, 65)( 61,110,142,235,422)
8868        ( 63,194,140,361,432,334,118,268,240,401)( 66,186,162, 80,396,155,227,
8869         381,176,225)( 71,228,150,185,393)( 72,417,168,206,392,365,222,318,
8870         181,267)( 74,291,158,290,389,281,221,276,179,288)( 75,333,160,269,
8871         387,407,231,192,182,372)( 76,270,156,416,399,197,224,360,180,330)
8872        ( 77,375,159,332,391,260,219,402,189,204)( 78, 81,165,164,395,386,218,
8873         213,171,183)( 84,207,161,374,390,323,223,255,177,414)
8874        (198,413,378,201,329,370,264,324,412,273)(200,287,368,285,326,286,263,
8875         282,410,294)(202,266,366,411,336)(203,371,369,327,328,265,261,408,
8876         420,210), (  1,134,166, 91, 14,281,152,385)(  2, 50,158,238)
8877        (  3, 29,164,343, 13,260,159,217)(  4,302,153,112, 16,365,156,427)
8878        (  5,386,148,133, 19, 92,161,280)(  6,113,163,364,  9,428,151,301)
8879        (  7,  8,155,154)( 10,407,162, 70, 18,323,167,196)( 11,239,149, 49)
8880        ( 12,218,150, 28, 17,344,160,259)( 15, 71,165,322, 20,197,157,406)
8881        ( 21,176,168,175)( 22,143,355, 97,266,285,215,381)( 23, 59,347,244,
8882         254, 54,221,234)( 24, 38,353,349,265,264,222,213)( 25,311,342,118,
8883         268,369,219,423)( 26,395,337,139,271, 96,224,276)( 27,122,352,370,
8884         261,432,214,297)( 30,437,340,307,258,117,226,360)( 31,416,351, 76,
8885         270,327,230,192)( 32,248,338, 55,263,243,212, 45)( 33,227,339, 34,
8886         269,348,223,255)( 35,290,341,391,253,138,229, 87)( 36, 80,354,328,
8887         272,201,220,402)( 37,374,345,433,256,306,216,108)( 39,332,356,202,
8888         262,411,225, 66)( 40,101,350,286,257,390,211,129)( 41,206,346,412,
8889         267, 75,228,318)( 42,185,357,181,273,180,231,171)( 43,137,250, 86,
8890          56,284,236,380)( 44, 53,242,233)( 46,305,237,107, 58,368,240,422)
8891        ( 47,389,232,128, 61, 95,245,275)( 48,116,247,359, 51,431,235,296)
8892        ( 52,410,246, 65, 60,326,251,191)( 57, 74,249,317, 62,200,241,401)
8893        ( 63,179,252,170)( 64,144,334,104,203,283,404,393)( 67,312,321,125,
8894         205,367,408,435)( 68,396,316,146,208, 94,413,288)( 69,123,331,377,
8895         198,430,403,309)( 72,438,319,314,195,115,415,372)( 73,417,330, 83,
8896         207,325,419,204)( 77,291,320,398,190,136,418, 99)( 78, 81,333,335,
8897         209,199,409,414)( 79,375,324,440,193,304,405,120)( 82,102,329,293,
8898         194,388,400,141)( 84,186,336,188,210,178,420,183)( 85,140,292, 89,
8899         392,274,131,397)( 88,308,279,110,394,358,135,439)( 90,119,289,362,
8900         387,421,130,313)( 93,434,277,299,384,106,142,376)( 98,287,278,383,
8901         379,127,145,103)(100,371,282,425,382,295,132,124)(105,182,294,173,
8902         399,169,147,187)(109,310,363,114,436,361,303,426)(111,121,373,366,
8903         429,424,298,300)(126,184,378,177,441,172,315,174) ] ],
8904[ 6, 1625702400, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.2^2",
8905  [ "L", [ 3, 4 ], 2 ],
8906  [ (  1,  7,217,222, 33, 22)(  2,280,212,285, 23,274)(  3,301,216,369, 37,127
8907         )(  4,112,214,117, 25,106)(  5,427,218, 96, 41,379)(  6,364,226,138,
8908          24,295)(  8, 91,230,390, 26,421)(  9,343,220,264, 34,148)
8909        ( 10,259,223,159, 30,337)( 11, 49,224,411, 38, 64)( 12, 28,211)
8910        ( 13,154,219,348, 31,253)( 14,406,227, 75, 32, 43)( 15,322,231,201,
8911          40,232)( 16,133,213,306, 27,358)( 17, 70,221, 54, 35,400)
8912        ( 18,175,228,180, 39,169)( 19,238,225,327, 42,190)( 20,385,215,432,
8913          29, 85)( 21,196,229,243, 36,316)( 44,287,401,290, 65,284)
8914        ( 45,308,405,374, 79,137)( 46,119,403,122, 67,116)( 47,434,407,101,
8915          83,389)( 48,371,415,143, 66,305)( 50, 98,419,395, 68,431)
8916        ( 51,350,409,269, 76,158)( 52,266,412,164, 72,347)( 53, 56,413,416,
8917          80, 74)( 55,161,408,353, 73,263)( 57,329,420,206, 82,242)
8918        ( 58,140,402,311, 69,368)( 59, 77,410)( 60,182,417,185, 81,179)
8919        ( 61,245,414,332, 84,200)( 62,392,404,437, 71, 95)( 63,203,418,248,
8920          78,326)( 86,293,380,278,422,281)( 87,314,384,362,436,134)
8921        ( 88,125,382,110,424,113)( 89,440,386)( 90,377,394,131,423,302)
8922        ( 92,104,398,383,425,428)( 93,356,388,257,433,155)( 94,272,391,152,
8923         429,344)( 97,167,387,341,430,260)( 99,335,399,194,439,239)
8924        (100,146,381,299,426,365)(102,188,396,173,438,176)(103,251,393,320,
8925         441,197)(105,209,397,236,435,323)(107,277)(108,298,111,361,121,130)
8926        (114,340,115,256,118,151)(120,319,126,193,124,235)(123,172)
8927        (128,276,296,279,359,289)(129,297,300,363,373,142)(132,360,310)
8928        (135,339,304,258,370,163)(136,255,307,153,366,352)(139,150,303,342,
8929         367,268)(141,318,315,195,376,247)(144,171,312,174,375,184)
8930        (145,234,309,321,378,205)(147,192,313,237,372,331)(149,282,338,283,
8931         254,286)(156,345,346,262,265,160)(157,261,349)(162,324,357,199,271,
8932         244)(165,177,354,178,270,181)(166,240,351,325,273,202)
8933        (168,198,355,241,267,328)(170,291)(183,333,189,207,187,249)
8934        (191,292,233,288,317,294)(204,334,252)(208,250,246,330,336,210),
8935      (  1,137,262,398, 59,306,208, 87)(  2,284,260,125, 47,369,205,423)
8936        (  3, 11,263,272, 62, 54,201,192)(  4, 32,265,251, 48, 75,210,150)
8937        (  5,368,268,440, 44,285,197,108)(  6, 74,273,167, 46, 33,202,234)
8938        (  7,347,270,335, 49,348,207,318)(  8,116,257,377, 58,432,191,276)
8939        (  9,410,266,230, 51,411,203,213)( 10,389,269,314, 61, 96,190,129)
8940        ( 12,200,255, 20, 53,264,209, 45)( 13,242,258, 83, 63,159,193, 24)
8941        ( 14,221,261,419, 56,222,198,402)( 15,179,267,188, 57,180,204,171)
8942        ( 16,431,254,293, 50,117,194,360)( 17,305,271,104, 43,138,199,381)
8943        ( 18,326,259,356, 60,327,196,339)( 19, 95,253,146, 52,390,206,297)
8944        ( 21,158,256, 41, 55,243,195, 66)( 22,139,241,384, 80,315,166, 88)
8945        ( 23,286,239,111, 68,378,163,424)( 25, 34,244,237, 69, 84,168,151)
8946        ( 26,370,247,426, 65,294,155,109)( 27, 76,252,153, 67, 42,160,235)
8947        ( 28,349,249,321, 70,357,165,319)( 29,118,236,363, 79,441,149,277)
8948        ( 30,412,245,216, 72,420,161,214)( 31,391,248,300, 82,105,148,130)
8949        ( 35,223,240,405, 77,231,156,403)( 36,181,246,174, 78,189,162,172)
8950        ( 37,433,233,279, 71,126,152,361)( 38,307,250, 90, 64,147,157,382)
8951        ( 39,328,238,342, 81,336,154,340)( 40, 97,232,132, 73,399,164,298)
8952        ( 85,127,136,388,395,311,313,103)( 86,274,134,115,383,374,310,439)
8953        ( 89,358,142,430,380,290,302,124)( 91,337,144,325,385,353,312,334)
8954        ( 92,106,131,367,394,437,296,292)( 93,400,140,220,387,416,308,229)
8955        ( 94,379,143,304,397,101,295,145)( 98,211,135,409,392,227,303,418)
8956        ( 99,169,141,178,393,185,309,187)(100,421,128,283,386,122,299,376)
8957        (102,316,133,346,396,332,301,355)(107,278,365,121,425,359,289,428)
8958        (110,362,373,436,422,275,281,113)(112,341,375,331,427,338,291,323)
8959        (114,404,371,226,429,401,287,218)(119,215,366,415,434,212,282,407)
8960        (120,173,372,184,435,170,288,176)(123,320,364,352,438,317,280,344)
8961        (175,351,186,330)(177,414,182,225)(217,345,417,329)(219,408,413,224)
8962        (228,324,406,350)(322,343,354,333) ] ],
8963[ 7, 1625702400, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.4",
8964  [ "L", [ 3, 4 ], 2 ],
8965  [ (  1,319,171,315,401,125,257, 33,157,100,219,393, 48,245,337,328,423,313,
8966         275,112,131, 29,199,102, 72,395,363,242)(  2,109,173, 42,409,104,261,
8967         390,153,247,211,330, 45,308,338,118,425, 40,283, 91,135,386,195,249,
8968          64,332,360,305)(  3,298,170,126,404, 41,262, 96,156,394,216,246, 43,
8969         329,339,307,422,124,278, 28,136, 92,198,396, 69,248,358,326)
8970        (  4,172,189,420,419,272,264,159,163,226,225, 57, 56,350,349,433,439,
8971         292,280,133,134,197,207, 81, 80,374,368, 11)(  5, 25,178,105,408,398,
8972         258,243,148,331,213,309, 44,119,341, 34,430,103,282,385,132,239,190,
8973         333, 66,311,359,116)(  6,235,169,336,402,314,254,117,152, 37,220, 99,
8974         51,392,342,244,421,334,276,301,128,113,194, 39, 73,101,366,389)
8975        (  7,130,176,210,417, 83,269,369,158, 16,214,183, 63,413,356,265,432,
8976         166,289,217,141, 50,203,354, 76,437,376,284)(  8,193,186, 84,416,377,
8977         263, 12,151,184,231,414, 62,266,348,160,436,229,288, 49,140,344,202,
8978         438, 82,290,364,137)(  9,382,174,252,400,335,255,306,149,121,215, 36,
8979         52, 98,345,391,426,250,274,322,129,302,191,123, 68, 38,367, 95)
8980        ( 10, 88,177,399,405,251,253,327,150,310,212,120, 47, 35,346, 97,429,
8981         397,279,238,127,323,192,312, 65,122,362, 32)( 13,424,187,294,406,146,
8982         260,201,165, 79,227,372, 53, 14,340,181,441,418,293,259,138,155,205,
8983         228, 78, 59,371,347)( 15, 46,182,357,412,440,271,285,154,142,218,204,
8984         60, 77,353,370,431, 19,277,175,147,407,209,270, 75,164,373,221)
8985        ( 17,361,179, 21,403,188,273,411,167,268,222,162, 58,224,351, 55,434,
8986         355,286,427,145,281,196,144, 71,206,375, 74)( 18, 67,185,378,410, 20,
8987         256,180,168,415,230,267, 54,161,352,223,435, 61,287,343,139,428,208,
8988         291, 70,143,365,200)( 22,325, 87,303,380,111,236)( 23,115, 89, 30,
8989         388, 90,240,379,321,234,295,317,108,299)( 24,304, 86,114,383, 27,241,
8990         85,324,381,300,233,106,320)( 26, 31, 94, 93,387,384,237,232,316,318,
8991         297,296,107,110), (  1,372,283,  7,267,289,427,266,352,425,308,337,
8992         362,304)(  2,183,293,217,260, 79,429,161,349, 47,315,190,368, 31, 17,
8993         141,279,385,271,331,438,119,348,404,298,232,360, 94)(  3, 99,275,175,
8994         272,226,428, 77,345,152,307, 43,378,199, 11, 36,290,133,258,394,439,
8995         329,354,110,306,400,361,241)(  4,246,276, 91,254,184,440,224,344, 68,
8996         303,148,370, 52, 21,204,284, 28,269,142,426,392,355,320,312,106,369,
8997         409)(  5,309,274,364,262, 16,435,287,343,257,310,421,371,346)
8998        (  6,393,292,322,270,121,432,413,340,236,297, 85,359,178, 20,225,281,
8999          70,261,163,433, 56,357,194,305, 22,374,136)(  8, 78,282,154,265, 58,
9000         441,203,347, 26,311,127,363,388, 19,330,291,112,264,415,424,245,339,
9001          89,296,169,377,220)(  9,162,286, 49,273,205,431, 35,353,131,300,379,
9002         376,325, 18,120,285,406,256,247,423, 98,338,173,314,211,365, 73)
9003        ( 10, 15,288,280,259,268,436,434,350,341,299,295,358,367)
9004        ( 12,414,277,238,255,100,422,182,356,215,302, 64,366,157, 13, 57,294,
9005         196,263, 37,437,140,342,383,313,316,375,115)( 14,351,278,301,253,373,
9006         430)( 23,185,146,216,386, 82,324,165,118, 54,420,193,242, 24,101,128,
9007         174,398,229,323, 81,114,159,412, 46,252,192, 95)( 25,248,129, 90,380,
9008         187,335,228,113, 75,408,151,244, 45,105,191,179, 41,227,134, 69,387,
9009         166,328, 60,126,201,410)( 27,395,145,321,396,124,327,417,109,243,402,
9010         88,233,171,104,212,176, 83,219,155, 76, 51,168,202, 53, 42,206,137)
9011        ( 29, 80,135,153,391, 61,336,207,116, 33,416,130,237,381,103,317,186,
9012         125,222,407, 67,240,150, 97, 44,189,209,221)( 30,164,139, 48,399,208,
9013         326, 39,122,138,405,382,250,318,102,107,180,419,214,239, 66, 93,149,
9014         181, 62,231,197, 74)( 32, 38,143,132,384,397,334,333,123,117,411,403,
9015         235,234, 87, 86,170,188,230,218, 71, 72,156,160, 55, 63,210,200)
9016        ( 34, 59,147,195,389, 40,332,144,111,390,418,319,249,108, 96,401,172,
9017         251,213, 92, 65,177,167,223, 50, 84,198,158) ] ],
9018[ 8, 2438553600, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.Sym(3)",
9019  [ "L", [ 3, 4 ], 2 ],
9020  [ (  1, 52,331,296, 11,220,327,128)(  2, 10,325,317)(  3,346,329,401, 20,
9021         115,321, 23)(  4,430,324, 65)(  5,178,334,191,  7,367,333, 86)
9022        (  6, 31,318,338, 14,409,335,107)(  8,388,336,254, 17,241,330,149)
9023        (  9, 73,319,422)( 12,136,316, 44, 16,304,326,212)( 13,283,328,275)
9024        ( 15,157,323,380, 21,262,332,233)( 18, 94,320,170, 19,199,322,359)
9025        ( 22, 45,352,308,410,230,117,132)( 24,339,350,413,419,125,111, 27)
9026        ( 25,423,345, 77,403,440,114, 69)( 26,171,355,203,406,377,123, 90)
9027        ( 28,360,354, 98,404,188,124,195)( 29,381,357,266,416,251,120,153)
9028        ( 30, 66,340,434,408, 83,109,426)( 32,213,348,140,400, 62,121,300)
9029        ( 33,129,337, 56,415,314,116,216)( 34,276,349,287,412,293,118,279)
9030        ( 35,402,356,119,405, 41,108,342)( 36,150,344,392,420,272,122,237)
9031        ( 37,297,347,224,411,146,106, 48)( 38,234,351,161,407,398,126,258)
9032        ( 39, 87,341,182,418,209,112,363)( 40,192,343,371,417,104,110,174)
9033        ( 42,255,353,245,414,167,113,384)( 43, 58,310,305,221,222,138,127)
9034        ( 46,436,303, 74,214,432,135, 64)( 47,184,313,200,217,369,144, 85)
9035        ( 49,373,312, 95,215,180,145,190)( 50,394,315,263,227,243,141,148)
9036        ( 51, 79,298,431,219, 75,130,421)( 53,226,306,137,211, 54,142,295)
9037        ( 55,289,307,284,223,285,139,274)( 57,163,302,389,231,264,143,232)
9038        ( 59,247,309,158,218,390,147,253)( 60,100,299,179,229,201,133,358)
9039        ( 61,205,301,368,228, 96,131,169)( 63,268,311,242,225,159,134,379)
9040        ( 67,424,429, 72)( 68,172,439,198, 70,361,438, 93)( 71,382,441,261,
9041          80,235,435,156)( 76,277,433,282)( 78,151,428,387, 84,256,437,240)
9042        ( 81, 88,425,177, 82,193,427,366)( 89,173,187,208,196,364,375,102)
9043        ( 91,362,186,103,194,175,376,207)( 92,383,189,271,206,238,372,165)
9044        ( 97,278,181,292,202,280,370,291)( 99,152,176,397,210,259,374,249)
9045        (101,236,183,166,197,385,378,270)(105,257,185,250,204,154,365,396)
9046        (155,386,399,273,269,248,246,162)(160,281,391,294,265,290,244,288)
9047        (164,239,393,168,260,395,252,267),
9048      (  1,186,389, 76,166,106,144,368,265,208,295,228, 32,328,250,421, 60,
9049          95,349,418,274, 18,179,391, 82,148,123,137,370,271,190,312,221, 34,
9050         334,232,438, 53, 97,355,400,291, 11,181,397, 64,165,116,139,376,253,
9051         207,305,223, 40,316,249,431, 55,103,337,417,284, 13,187,379, 81,158,
9052         118,145,358,270,200,307,229, 22,333,242,433, 61, 85,354,410,286, 19,
9053         169,396, 74,160,124,127,375,263,202,313,211, 39,326,244,439, 43,102,
9054         347,412,292)(  2,175,390, 83,157,122,135,361,255,197,299,224, 27,336,
9055         247,422, 49, 96,356,409,290,  9,172,381, 71,152,119,132,378,268,191,
9056         301,222, 41,325,248,429, 46, 87,344,404,287,  6,189,394, 65,154,117,
9057         146,367,269,198,298,213, 29,320,245,426, 63,100,338,406,285, 20,178,
9058         395, 72,151,108,134,362,266,195,315,226, 23,322,243,440, 52,101,345,
9059         403,276,  8,173,392, 69,168,121,128,364,264,209,304,227, 30,319,234,
9060         428, 47, 98,342,420,289)(  3,176,383, 77,153,126,142,359,259,201,314,
9061         220, 38,324,235,423, 50, 89,350,405,294, 16,170,385, 75,167,115,143,
9062         366,256,192,302,215, 35,321,252,436, 44, 91,348,419,283, 17,177,382,
9063          66,155,110,140,363,273,205,296,217, 33,335,241,437, 51, 88,339,407,
9064         278, 14,174,399, 79,149,112,138,377,262,206,303,214, 24,323,236,434,
9065          48,105,352,401,280, 12,188,388, 80,156,109,129,365,257,203,300,231,
9066          37,317,238,432, 62, 94,353,408,277)(  4,171,386, 68,161,111,147,373,
9067         254,196,306,230, 31,332,240,424, 45, 92,341,413,279, 21,184,380, 70,
9068         159,125,136,374,261,193,297,218, 26,329,237,441, 58, 86,343,411,293,
9069          10,185,387, 67,150,113,131,371,258,210,310,212, 28,327,251,430, 59,
9070          93,340,402,281,  5,182,384, 84,163,107,133,369,272,199,311,219, 25,
9071         318,239,425, 56, 90,357,415,275,  7,180,398, 73,164,114,130,360,260,
9072         194,308,216, 42,331,233,427, 54,104,346,416,282)( 15,183,393, 78,162,
9073         120,141,372,267,204,309,225, 36,330,246,435, 57, 99,351,414,288) ] ],
9074[ 9, 2438553600, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.6",
9075  [ "L", [ 3, 4 ], 2 ],
9076  [ (  1,134)(  2,302, 18,155, 14,260)(  3,197,  9,113, 12,407)
9077        (  4,239, 17,365, 11, 29)(  5,176, 13,218, 21, 92)(  6,386,  7,344,
9078          20, 50)( 10, 71)( 15,281, 19,428, 16,323)( 22,130,232,143,358,137)
9079        ( 23,298,249,164,371,263)( 24,193,240,122,369,410)( 25,235,248,374,
9080         368, 32)( 26,172,244,227,378, 95)( 27,382,238,353,377, 53)
9081        ( 28,340,251, 59,363,389)( 30,109,243,416,360,200)( 31, 67,241, 80,
9082         367, 74)( 33,403,234,206,366,116)( 34,214,252,101,362,179)
9083        ( 35,256,233,311,375,158)( 36,277,250,437,373,326)( 37,319,246,290,
9084         376,431)( 38,361,242)( 39,151,245,269,359,305)( 40,424,247,332,372,
9085         284)( 41, 46,237,395,364,347)( 42, 88,236,185,370,221)
9086        ( 43,132,379,133,337,146)( 44,300,396,154,350,272)( 45,195,387,112,
9087         348,419)( 47,174,391,217,357,104)( 48,384,385,343,356, 62)
9088        ( 49,342,398)( 51,111,390,406,339,209)( 52, 69,388, 70,346, 83)
9089        ( 54,405,381,196,345,125)( 55,216,399, 91,341,188)( 56,258,380,301,
9090         354,167)( 57,279,397,427,352,335)( 58,321,393,280,355,440)
9091        ( 60,153,392,259,338,314)( 61,426,394,322,351,293)( 63, 90,383,175,
9092         349,230)( 64,136)( 65,304, 81,157, 77,262)( 66,199, 72,115, 75,409)
9093        ( 68,178, 76,220, 84, 94)( 78,283, 82,430, 79,325)( 85,131,169,139,
9094         211,147)( 86,299,186,160,224,273)( 87,194,177,118,222,420)
9095        ( 89,173,181,223,231,105)( 93,110,180,412,213,210)( 96,404,171,202,
9096         219,126)( 97,215,189)( 98,257,170,307,228,168)( 99,278,187,433,226,
9097         336)(100,320,183,286,229,441)(102,152,182,265,212,315)
9098        (103,425,184,328,225,294)(106,138,400,129,190,135)(107,306,417,150,
9099         203,261)(108,201,408)(114,117,411,402,192,198)(119,264,401,297,207,
9100         156)(120,285,418,423,205,324)(121,327,414,276,208,429)
9101        (123,159,413,255,191,303)(124,432,415,318,204,282)(128,295,144,148,
9102         140,253)(141,274,145,421,142,316)(149,308,270)(161,266,254,296,312,
9103         165)(162,287,271,422,310,333)(163,329,267,275,313,438)
9104        (166,434,268,317,309,291)(288,292,439,436,331,330)(289,334,435),
9105      (  1, 94,142,125,322,261, 32,372,203,174,243,353, 50, 18, 73,130,440,
9106         328,156, 42,393,194,279,233,227, 45,312, 82,403,421, 97,163,126,385,
9107         257,284,359,224,171,306,355,407)(  2,220,129,314,334,408, 22, 99,205,
9108         111,238,269, 53,375, 77,172,432,349,155, 21,388,131,293,317,219, 24,
9109         309,208,405,232,101, 58,123, 70,256,431,370,161,189,390,341,281)
9110        (  3,304,145,419,316, 93, 37,120,196,258,242,374, 56,186, 75,340,428,
9111          13,157,147,398,320,282, 23,225,192,300,250,416, 43,102, 79,109,427,
9112         265,158,378,392,173,285,338,218)(  4,430,139,167,336,387, 26,288,191,
9113         216,234,311, 61,417, 64, 88,436,118,154,273,389,362,287,170,222,339,
9114         302, 19,409,127,104,331,114, 28,267,200,363,245,185, 54,354, 71)
9115        (  5,283,128,230,318,303, 40,414,190, 90,247,122, 49,270, 74,361,434,
9116         181,159,357,386)(  6,241,143, 62,333, 72, 25,435,202,153,252,395, 47,
9117         291, 65,214,423,307,166,420,379, 89,289,107,217,255,305,376,413,169,
9118          96,352,113,  7,262,137,377,329,177, 33,351,197)(  8, 10,136,146,335,
9119         324, 30, 36,204,195,237,248, 59, 60, 81, 67,424,433,160,168,399,383,
9120         278,275,212,213,297,313,418,400, 85,100,121,112,259,263,368,371,182,
9121         180,348,344)(  9, 31,141,209,321,240, 38, 57,207, 69,235,437, 55,165,
9122         84,382,425,286,149,231,381,299,292,401,211, 87,310,124,406,253, 95,
9123         373,119,175,264,347,365, 14,178,138,356,323)( 11,367,140,188,327,345,
9124         29, 15,199,132,251,332, 51, 39, 78,193,426,244,164, 63,396, 68,277,
9125         422,223,150,315,397,404,274, 86,226,108,301,271,410,358, 98,184,117,
9126         343,260)( 12,346,134, 20,325,135, 41,330,198, 27,246,206, 48,249, 80,
9127         46,438, 76,151,441,391,152,294,380,215,276,296,229,402,295,103,415,
9128         106, 91,268,116,364,266,179,369,350,176)( 16,115,133,272,326,366, 35,
9129         183,201,342,239, 17, 52,144, 83,319,429, 34,162,210,384,236,290, 44,
9130         228, 66,298,439,412,148,105,394,110,280,254,221,360,308,187,411,337,
9131          92) ] ],
9132[ 10, 3251404800, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1,
9133  "PSigmaL(3, 4) wreath Sym(2)", [ "L", [ 3, 4 ], 2 ],
9134  [ (  1, 70, 39,281, 93,410)(  2,301, 23,302, 86,305)(  3,364, 34,428, 99,242
9135         )(  4, 49, 38,113, 90,179)(  5,217, 37,134, 94,263)(  6,175, 25, 50,
9136         101,116)(  7, 28, 29, 92, 95, 11)(  8, 91, 32)(  9,406, 22, 71,102,
9137         284)( 10,259, 26,218,100,137)( 12,154, 40,323, 98,389)
9138        ( 13,427, 36,239, 87,368)( 14,385, 33,155,103,326)( 15,238, 24,365,
9139          97,431)( 16,133, 31,260, 89,221)( 17,112, 27,176, 88, 53)
9140        ( 18,280, 30,407, 85, 74)( 19,322, 35,386, 96,158)( 20,196, 41,197,
9141         104,200)( 21,343, 42,344,105,347)( 43, 80,123,279,177,403)
9142        ( 44,311,107,300,170,298)( 45,374,118,426,183,235)( 46, 59,122,111,
9143         174,172)( 47,227,121,132,178,256)( 48,185,109)( 51,416,106, 69,186,
9144         277)( 52,269,110,216,184,130)( 54,164,124,321,182,382)
9145        ( 55,437,120,237,171,361)( 56,395,117,153,187,319)( 57,248,108,363,
9146         181,424)( 58,143,115,258,173,214)( 60,290,114,405,169, 67)
9147        ( 61,332,119,384,180,151)( 62,206,125,195,188,193)( 63,353,126,342,
9148         189,340)( 64, 81,291,282,408,400)( 65,312,275,303,401,295)
9149        ( 66,375,286,429,414,232)( 68,228,289,135,409,253)( 72,417,274)
9150        ( 73,270,278,219,415,127)( 75,165,292,324,413,379)( 76,438,288,240,
9151         402,358)( 77,396,285,156,418,316)( 78,249,276,366,412,421)
9152        ( 79,144,283,261,404,211)( 82,333,287,387,411,148)( 83,207,293,198,
9153         419,190)( 84,354,294,345,420,337)(128,304,254,299,212,310)
9154        (129,367,265,425,225,247)(131,220,268)(136,262,257,215,226,142)
9155        (138,157,271,320,224,394)(139,430,267,236,213,373)(140,388,264,152,
9156         229,331)(141,241,255,362,223,436)(145,325,266,383,222,163)
9157        (146,199,272,194,230,205)(147,346,273,341,231,352)(149,313,317,308,
9158         380,306)(150,376,328,434,393,243)(159,166,334,329,392,390)
9159        (160,439,330,245,381,369)(161,397,327)(162,250,318,371,391,432)
9160        (167,208,335,203,398,201)(168,355,336,350,399,348)(191,314)
9161        (192,377,202,440,204,251)(210,356)(233,297,359,307,422,309)
9162        (234,360,370,433,435,246)(244,423,372)(252,339,378,349,441,351)
9163        (315,338), (  1,359,300,253,360, 48,264,108, 53,348,110,137,343,  5,
9164         128,301)(  2,296,295,358,363,258,255, 45, 54,117,116,347,341,131,133,
9165         7)(  3, 44,306,106,368,342,257,129, 49, 12,107,305,337,362,132,259)
9166        (  4,149,308, 64,370,195,273, 87, 59,180,125,221,354,425,135,322)
9167        (  6,254,297, 43,369,111,263,339, 47,138,112, 11,338,299,127,364)
9168        (  8, 23,309,274,367,384,268,402, 50, 33,120,284,346,383,142,406)
9169        (  9,317,298,148,371, 69,265,192, 63, 96,122,179,356,215,144,427)
9170        ( 10,380,310,400,365, 27,267,276, 52,390,121,410,344, 26,141,280)
9171        ( 13,191,315, 85,374,174,272,213, 60,432,114,326,340,152,140, 70)
9172        ( 14, 65,307,190,378, 90,269,171, 62,222,123,431,345,320,130,154)
9173        ( 15,275,304,379,373,405,260, 24, 57,285,115,389,352,404,134, 28)
9174        ( 16,401,302, 22,372,279,262,381, 58,411,113, 32,351,278,136,385)
9175        ( 17,170,314,211,375,426,261,318, 46,159,119, 74,349,194,147, 91)
9176        ( 18,422,303,316,361,153,266, 66, 55,201,126, 95,353,173,146,217)
9177        ( 19,233,313,232,376,237,271,234, 61,243,124,242,355,236,145,238)
9178        ( 20,212,312,421,366,321,256,150, 56, 75,118,200,357, 89,143,175)
9179        ( 21, 86,311,169,377,216,270,423, 51,327,109,158,350, 68,139,196)
9180        ( 25,162,287, 73,391,205,420, 92, 38,183,293,220,396,436,408,323)
9181        ( 29, 36,288,283,388,394,415,407)( 30,330,277,157,392, 79,412,197, 42,
9182         99,290,178,398,226,417,428)( 31,393,289,409,386, 37,414,281)
9183        ( 34,204,294, 94,395,184,419,218, 39,435,282,325,382,163,413, 71)
9184        ( 35, 78,286,199,399,100,416,176, 41,225,291,430,387,331,403,155)
9185        ( 40,246,292,241,397,247,418,239)( 67,160,203, 84, 97,206,189,104,227,
9186         186,440,219,333,424,156,329)( 72,328,193,168, 98, 80,181,209,231,102,
9187         437,177,335,214,165,434)( 76,202,210,105,101,185,188,230,228,438,429,
9188         324,319,151,161, 77)( 81,433,198,336, 88,164,182, 83,223,207,441, 93,
9189         332,172,167,224)( 82,244,208,252,103,248,187,251,229,249,439,240,334,
9190         235,166,245) ] ],
9191[ 11, 4877107200, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.D_12",
9192  [ "L", [ 3, 4 ], 2 ],
9193  [ (  1,225,387,343, 83,115,298, 34,105,423,187,206,264,417, 53,274,218,324,
9194         352,167,110,361, 35,147,426,250,191, 12,414,389,280, 71,325,310,160,
9195          89,360,182,143,258,249, 44)(  2, 15,393,385, 70, 73,304,307, 97, 87,
9196         171,185,269,270, 60, 43,211,219,345,356,125,109, 25, 42,441,439,208,
9197         201,411,410,284,281,323,331,163,152,362,371,140,132,237,233)
9198        (  3,183,395,259, 81, 52,295,223, 93,339,188,122,256, 39, 63,421,229,
9199         198,348,419,116,277, 29,336,436,166,194,369,413,137,279,239,317, 16,
9200         162,383,364, 77,136,300,244, 86)(  4, 36,399,427, 82,199,306,412, 95,
9201         276,176,332,268,165, 47,358,224,135,342,251,107)(  5,372,392,133, 69,
9202         241,296, 13, 99,381,175, 80,262,312, 55, 85,213,177,353,272,123, 46,
9203          22,231,429,355,209,117,403, 32,294,428,334,205,159,404,368,287,134,
9204         321,247,149)(  6,246,380,  7, 78,388,301, 76, 94,297,181,101,255,186,
9205         59,253,228, 51,337,230,114,340, 41,126,424, 40,210,432,418,200,285,
9206         407,326,289,155,320,373,161,131,363,245,128)(  8,330,394,154, 68,367,
9207         308,139, 90,234,170, 17,267,396, 49, 64,220,303,349,104,108,172, 38,
9208         273,438, 61,190,222,408,347,293,113,319, 37,168,425,376,203,138,405,
9209         242,275)(  9,351,398,112, 67, 31,315,433,103,192,180,416,263,291, 50,
9210         316,226,156,341,377,119,130, 27,252,422, 19,204,390,406, 74,283,302,
9211         328,100,150,173,374,266,144, 48,232,212)( 10,309,391, 91, 66,178,311,
9212         265,102, 45,169,227,261,354, 62,106,214, 30,357,440,124,193, 33,420,
9213         431,292,197,327,415,158,278,365,329,142,153,236,359, 14,141,384,238,
9214          65)( 11,288,386,322, 79,157,299,370, 98,129,174,248,254, 18, 57,379,
9215         217, 72,346,314,118, 88, 24,189,437,271,207, 54,400,221,282,344,335,
9216         121,151, 26,378,434,145,195,243,401)( 20,120,382, 28, 84,430,313,202,
9217         96,402,179,290,260,333, 58,148,215,366,350,146,111,235, 23, 21,435,
9218         397,196, 75,409,305,286, 92,318,184,164,257,375, 56,127,216,240,338),
9219      (  1,415,211,416,253,408,379,419,358,410)(  2, 58,218,248,262, 72,396,
9220         209,371,326)(  3,289,216,101,265,135,382,356,362,431)
9221        (  4,352,215,437,255,282,384,104,370,137)(  5,436,213,290,258, 93,391,
9222         146,361,347)(  6,100,223,143,256,345,383,440,360,284)
9223        (  7,163,229,122,273,177,393,314,369, 32)(  8,247,220, 80,270,198,392,
9224         335,359, 53)(  9,394,230,374,263)( 10, 79,228,206,266,324,380, 62,
9225         365,242)( 11, 16,226,227,269,261,387,398,377,368)( 12, 37,217,164,
9226         271,114,399,188,372,305)( 13,142,214,353,257,429,381,293,363, 95)
9227        ( 14,331,212, 59,260,240,388, 83,375,200)( 15,310,222, 38,259,156,397,
9228         125,378,179)( 17,268,219,395,272,366,389, 20,373,221)
9229        ( 18,205,224,332,254, 51,386,251,367, 74)( 19,121,231,185,267,303,390,
9230         41,364,158)( 21,184,225,311,264, 30,385,167,376,116)( 22,406,148,418,
9231         106,420,169,414,295,411)( 23, 49,155,250,115, 84,186,204,308,327)
9232        ( 24,280,153,103,118,147,172,351,299,432)( 25,343,152,439,108,294,174,
9233         99,307,138)( 26,427,150,292,111,105,181,141,298,348)( 27, 91,160,145,
9234         109,357,173,435,297,285)( 28,154,166,124,126,189,183,309,306, 33)
9235        ( 29,238,157, 82,123,210,182,330,296, 54)( 31, 70,165,208,119,336,170,
9236         57,302,243)( 34,133,151,355,110,441,171,288,300, 96)( 35,322,149, 61,
9237         113,252,178, 78,312,201)( 36,301,159, 40,112,168,187,120,315,180)
9238        ( 39,196,161,334,107, 63,176,246,304, 75)( 42,175,162,313,117)
9239        ( 43,407,232,409, 64,417,190,413,316,401)( 44, 50,239,241, 73, 81,207,
9240         203,329,317)( 45,281,237, 94, 76,144,193,350,320,422)
9241        ( 46,344,236,430, 66,291,195, 98,328,128)( 47,428,234,283, 69,102,202,
9242         140,319,338)( 48, 92,244,136, 67,354,194,434,318,275)
9243        ( 52, 71,249,199, 77,333,191, 56,323,233)( 55,134,235,346, 68,438,192,
9244         287,321, 86)( 60,197,245,325, 65)( 85,412,127,403,337,404,421,402,
9245         274,405)( 87,286,132, 88,349,131,424,339,278,426)( 89,433,129,277,342
9246         )( 90, 97,139,130,340,341,425,423,276,279) ] ],
9247[ 12, 7315660800, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1,
9248  "PGL(3, 4) wreath Sym(2)", [ "L", [ 3, 4 ], 2 ],
9249  [ (  1,296,327,337,314,411,343, 62,415,133, 53,121,147,368,109,294,372,151,
9250         276, 99,166,213, 94,439,215,388,429,  5,380,324)(  2,317,316,295,306,
9251         348,356,419,406, 49, 58,142,137,116,126,378,361,277,288,162,150, 87,
9252         103,229,220,430,425,383,387,  9)(  3, 86,334,211,304,432,341,398,408,
9253         7, 44,331,127,305,117,357,377,403,280, 57,163,129, 95,124,231,367,
9254         424,278,393,156)(  4,275,330,148,297, 96,355,230,409,427, 47,394,135,
9255         11,107,336,358,298,285,351,167,402, 91, 61,226,136,431,110,399,366)
9256        (  6,254,328, 64,311,201,344, 41,413,175, 48,268,139, 74,122,210,365,
9257          25,287,183,153,255, 97, 82,227,199,428, 26,392,177)(  8, 23,329,169,
9258         300,264,349, 83,416,196, 50, 37,140,179,111,273,370, 67,290,204,155,
9259          24, 98,187,216,262,433, 68,395,198)( 10,422,320,379,303, 12,338,335,
9260         400,301, 54,352,146,410,112, 63,373,130,284,120,168,360, 88,292,225,
9261         157,423, 89,397,219)( 13, 65,332,190,302, 33,350,188,405,259, 55, 79,
9262         143,200,113, 42,371,172,279,267,160, 66,101,208,218, 31,434,173,384,
9263         261)( 14,170,321,253,307, 75,353,209,407, 28, 56,184,132,263,118, 84,
9264         374,193,281, 36,161,171, 90,271,223, 73,437,194,386, 30)
9265        ( 15,149,318, 85,313,222,346,440,404,385, 51, 16,128,326,106,315,369,
9266         340,293,414,154, 45,100,145,221,115,441,362,382,282)( 17,191,323, 22,
9267         308,180,342,272,412, 70, 59,205,134, 32,119,189,363,256,286, 78,164,
9268         192, 92, 40,224,178,426,257,391, 72)( 18,233,333,232,312,243,354,251,
9269         417,238, 60,247,144,242,123,252,375,235,291,246,165,234,102,250,228,
9270         241,438,236,396,240)( 19,212,325,421,299,390,345, 20,401,322, 43,310,
9271         138,347,125,420,364, 46,289,141,158,108,105,376,214,283,435,152,381,
9272          93)( 21,359,319,274,309,159,339,104,418,217, 52,436,131,389,114)
9273        ( 27,266,181, 69,269,202, 71, 38,203,176)( 29, 35,182,174,258,265, 76,
9274         80,206,197)( 34, 77,185,195,260)( 39,245,186,237,270,244, 81,248,207,
9275         239), (  1,391,238, 87,337, 76,217,276,253, 34,133,297, 43,118,196,
9276         150,169,433,364,402,316, 13,385,234, 85,349, 70,213,274,265, 28,129,
9277         295, 55,112,192,148,181,427,360,400,328,  7,381,232, 97,343, 66,211,
9278         286,259, 24,127,307, 49,108,190,160,175,423,358,412,322,  3,379,244,
9279          91,339, 64,223,280,255, 22,139,301, 45,106,202,154,171,421,370,406,
9280         318)(  2,392,233, 98,338, 77,212,287,254, 35,128,308, 44,119,191,161,
9281         170,434,359,413,317, 14,380,245, 86,350, 65,224,275,266, 23,140,296,
9282          56,107,203,149,182,422,371,401,329)(  4,387,249,100,340, 72,228,289,
9283         256, 30,144,310, 46,114,207,163,172,429,375,415,319,  9,396,247, 88,
9284         345, 81,226,277,261, 39,142,298, 51,123,205,151,177,438,373,403,324,
9285          18,394,235, 93,354, 79,214,282,270, 37,130,303, 60,121,193,156,186,
9286         436,361,408,333, 16,382,240,102,352, 67,219,291,268, 25,135,312, 58,
9287         109,198,165,184,424,366,417,331)(  5,395,239, 95,341, 80,218,284,257,
9288         38,134,305, 47,122,197,158,173,437,365,410,320, 17,386,242, 89,353,
9289          71,221,278,269, 29,137,299, 59,113,200,152,185,428,368,404,332,  8,
9290         389,236,101,344, 74,215,290,260, 32,131,311, 50,116,194,164,176,431,
9291         362,416,323, 11,383,248, 92,347, 68,227,281,263, 26,143,302, 53,110,
9292         206,155,179,425,374,407,326)(  6,399,241, 99,342, 84,220,288,258, 42,
9293         136,309, 48,126,199,162,174,441,367,414,321, 21,388,246, 90,357, 73,
9294         225,279,273, 31,141,300, 63,115,204,153,189,430,372,405,336, 10,393,
9295         237,105,346, 78,216,294,262, 36,132,315, 52,120,195,168,178,435,363,
9296         420,325, 15,384,252, 94,351, 69,231,283,267, 27,147,304, 57,111,210,
9297         157,183,426,378,409,330)( 12,397,243,103,348, 82,222,292,264, 40,138,
9298         313, 54,124,201,166,180,439,369,418,327, 19,390,250, 96,355, 75,229,
9299         285,271, 33,145,306, 61,117,208,159,187,432,376,411,334)
9300        ( 20,398,251,104,356, 83,230,293,272, 41,146,314, 62,125,209,167,188,
9301         440,377,419,335) ] ],
9302[ 13, 14631321600, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1, "PSL(3, 4)^2.3^2.4",
9303  [ "L", [ 3, 4 ], 2 ],
9304  [ (  1, 57,390,  7,330,381,175,321,360,177,153,361,219,165,298,229,417,296,
9305         145,404, 65,139,425, 83,118,421, 62,117)(  2,141,383, 70,328,423,188,
9306         111,358, 51,159,  4,225,396,301,334,402,170,132,362, 72,160,424,230,
9307         123,295, 61,411)(  3,183,384,364,324,150,172,216,375,303,166,403,212,
9308         144,299, 82,412,422,146,110, 64, 55,432, 20,120,379, 49,327)
9309        (  5, 78,391,427,335,108,169, 48,369,  9,162,382,217,333,297,187,405,
9310         359,135,152, 67,223,438,314,124,400, 44,138)(  6,372,387,154,319,213,
9311         186,300,376,408,149,130,215, 81,307,439,419,107,127, 47, 75, 13,435,
9312         398,112,316, 45,180)(  8,246,389,259,329,192,185,342,373,282,168, 88,
9313         220, 39,302,250,410,254,140,194, 80,349,436,293,126, 85, 52, 33)
9314        ( 10, 36,386,238,326,255,182,195,374,345,163,277,231,102,304, 40,407,
9315         233,137,257, 77,202,437,356,121,274, 63, 96)( 11,267,392,196,332,339,
9316         184,279,378, 93,157, 25,218,249,305,271,413,191,143,341, 79,286,441,
9317         104,115, 22, 50,243)( 12, 15,393,385,322,318,171,174,363,366,156,151,
9318         214,228,312,313,418,401,128,131, 68, 76,433,440,125,106, 43, 54)
9319        ( 14,204,395,343,331,276,189, 90,367, 30,155,235,221,270,308,208,416,
9320         338,142,278, 84, 97,430, 41,113,232, 53,264)( 16,288,399, 91,325, 24,
9321         176,237,368,261,161,193,227,354,310,292,420, 86,136, 26, 71,244,431,
9322         272,119,190, 59,348)( 17,351,394,280,336, 87,178, 27,365,240,158,256,
9323         224,207,311,355,415,275,147, 89, 73, 34,428,251,116,253, 56,201)
9324        ( 18,309,397,406,317,129,173, 69,370,429,167,109,211, 60,306, 19,414,
9325         380,133,320, 66,181,426,377,114,148, 46,222)( 21, 99,388, 28,323,234,
9326         179,258,371,198,164,340,226,291,315,103,409, 23,134,236, 74,265,434,
9327         209,122,337, 58,285)( 29,239,242,263,266,203,206,353,352,289,294,105,
9328         94, 31)( 32,260,245,200,269,350,205,290,357,100,283, 42, 92,241)
9329        ( 35,197,248,347,268,287,210,101,346, 37,281,252, 95,262)
9330        ( 38,344,247,284,273, 98,199),
9331      (  1,415,440,193,311,354,381, 94,128,179,244,280)(  2,184,433,277,295,
9332         417,398,199,143,347,234, 91)(  3,100,422,172,307,291,379,409,146,200,
9333         248,343)(  4,310,438,382,304,144,389,241,133, 11,247,427)
9334        (  5,331,441, 46,299,333,399, 52,131,326,252, 49)(  6,121,429,361,313,
9335         39,384,115,135,368,250, 28)(  7, 16,436,424,298,312,396,388,136,137,
9336         242,238)(  8,163,432, 67,308,270,386,157,138, 74,245,259)
9337        (  9,373,439, 25,300,123,387,367,145, 32,237,112)( 10,142,431,235,301,
9338         18,394,430,130,305,249,385)( 12, 79,434,256,302,165,390, 73,140,263,
9339         239,154)( 13,289,421,403,314,207,395,346,129, 95,233,175)
9340        ( 14,268,428,151,306, 81,392,262,134,158,243, 70)( 15,226,435,214,309,
9341         228,393,220,141,221,246,217)( 17,352,423, 88,296,186,391,283,127,410,
9342         251,196)( 19, 37,426,109,303,375,397, 31,132,116,240,364)
9343        ( 20,205,437,340,297,102,380,178,139,284,232,406)( 21, 58,425,319,315,
9344         60,383,325,147, 53,236,322)( 22,405,125,198,374,355, 24, 90,107,177,
9345         370,292)( 23,174,118,282,358,418, 41,195,122,345,360,103)
9346        ( 26,321,126, 51,362,334, 42, 48,110,324,378, 61)( 27,111,114,366,376,
9347         40)( 29,153,117, 72,371,271)( 30,363,124)( 33, 69,119,261,365,166)
9348        ( 34,279,106,408,377,208, 38,342,108, 93,359,187)( 35,258,113,156,369,
9349         82)( 36,216,120,219,372,229)( 43,404,335,210, 59,341,318,105, 44,173,
9350         328,294)( 45, 89,317,189, 55,278,316,420, 62,194,332,357)
9351        ( 47,320,336, 63)( 50,152,327, 84, 56,257,323,168, 54, 68,329,273)
9352        ( 57,215,330,231)( 64,413,272,197,164,348, 66, 98,254,176,160,285)
9353        ( 65,182,265,281,148,411, 83,203,269,344,150, 96)( 71,161,264)
9354        ( 75, 77,266,260,155,159)( 76,287,253,407,167,201, 80,350,255, 92,149,
9355         180)( 78,224,267,218,162,222)( 85,401,188,202,290,337,402,104,191,
9356         185,349,276)( 86,170,181,286,274,400,419,209,206,353,339, 87)
9357        ( 97,275,169,412,293,190,416,356,192,101,338,171)( 99,212,183,223,288,
9358         211,414,230,204,227,351,213) ] ],
9359[ 14, 14631321600, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1,
9360  "PSL(3, 4)^2.Sym(3)^2", [ "L", [ 3, 4 ], 2 ],
9361  [ (  1,166,237, 14,148,250,  6,161,232, 19,153,245)(  2,157,243,  7,149,241,
9362         12,154,233, 10,159,238)(  3,150,234)(  4,165,236,  8,151,249,  5,155,
9363         235, 18,152,239)(  9,164,247, 11,156,248, 16,158,240, 17,163,242)
9364        ( 13,168,244, 21,160,252)( 15,162,246)( 20,167,251)( 22,376,279,224,
9365         337, 82, 27,371,274,229,342, 77)( 23,367,285,217,338, 73, 33,364,275,
9366         220,348, 70)( 24,360,276,213,339, 66)( 25,375,278,218,340, 81, 26,
9367         365,277,228,341, 71)( 28,359,283,222,343, 65, 31,369,280,212,346, 75)
9368        ( 29,361,291,215,344, 67, 39,362,281,214,354, 68)( 30,374,289,221,345,
9369         80, 37,368,282,227,352, 74)( 32,366,290,226,347, 72, 38,373,284,219,
9370         353, 79)( 34,378,286,231,349, 84)( 35,358,292,216,350, 64, 40,363,
9371         287,211,355, 69)( 36,372,288,225,351, 78)( 41,377,293,230,356, 83)
9372        ( 42,370,294,223,357, 76)( 43,187, 48,182)( 44,178, 54,175)( 45,171)
9373        ( 46,186, 47,176)( 49,170, 52,180)( 50,172, 60,173)( 51,185, 58,179)
9374        ( 53,177, 59,184)( 55,189)( 56,169, 61,174)( 57,183)( 62,188)( 63,181)
9375        ( 85,418,384,266,106,313, 90,413,379,271,111,308)( 86,409,390,259,107,
9376         304, 96,406,380,262,117,301)( 87,402,381,255,108,297)
9377        ( 88,417,383,260,109,312, 89,407,382,270,110,302)( 91,401,388,264,112,
9378         296, 94,411,385,254,115,306)( 92,403,396,257,113,298,102,404,386,256,
9379         123,299)( 93,416,394,263,114,311,100,410,387,269,121,305)
9380        ( 95,408,395,268,116,303,101,415,389,261,122,310)( 97,420,391,273,118,
9381         315)( 98,400,397,258,119,295,103,405,392,253,124,300)
9382        ( 99,414,393,267,120,309)(104,419,398,272,125,314)(105,412,399,265,
9383         126,307)(127,208,321,140,190,334,132,203,316,145,195,329)
9384        (128,199,327,133,191,325,138,196,317,136,201,322)(129,192,318)
9385        (130,207,320,134,193,333,131,197,319,144,194,323)(135,206,331,137,198,
9386         332,142,200,324,143,205,326)(139,210,328,147,202,336)(141,204,330)
9387        (146,209,335)(421,439,426,434)(422,430,432,427)(424,438,425,428)
9388        (429,437,436,431)(433,441),
9389      (  1, 85, 95,431,430,325,321,237,246,372,365, 50, 59,164,149,401,420,
9390         315,312,396,381,276,293,146,130,340,355,124,119, 14)(  2,400,105,305,
9391         438,388,318,279,251,141,361,344, 61,122,161)(  3,274,104,137,424,346,
9392         334,111,245, 15,358, 92, 53,437,157,317,405,252,309,375,386, 45,290,
9393         167,128,403,357,313,123,392)(  4,337,103,116,434, 10,316, 90,242,435,
9394         367,323, 48,248,162,359,407, 63,311,165,380,402,294,314,144,382,339,
9395         292,125,140)(  5, 64, 91,263,432,199,331, 27,244,183,362, 71, 49,269,
9396         159,191,415, 42,307,186,383, 66,280,272,138,193,352, 40,118,182)
9397        (  6,232, 99,368,428, 52,332,153,233,414,378,302, 60,395,150,275,419,
9398         147,298,354,397,108,287, 20,127, 88,347,439,115,329)(  7,253, 96,200,
9399         436, 31,328,174,236, 78,364,260, 54,206,163, 23,412,189,299, 81,385,
9400         255,285,209,142, 25,349,187,110, 77)(  8, 43,101,158,422,409,336,300,
9401         249,393,360,281, 62,143,151,338,418,126,308, 18,379, 87,284,440,136,
9402         319,342,250,120,371)(  9,211, 93,221,429,220,324,216,240,225,366,218,
9403         51,227,156,212,408,231,303,228,387,213,282,230,135,214,345,229,114,
9404         224)( 11,421, 94,326,426,241,330,363,239, 57,374,155, 44,416,168,296,
9405         417,399,297,291,398,129,277,356,145,109,350, 19,106, 98)
9406        ( 12,190,100, 32,433,178,320, 69,238,267,369,197, 58, 38,160,170,404,
9407          84,301,270,390,192,289, 41,139,172,341, 82,112,266)( 13,169, 89, 74,
9408         427,262,327,195,247, 36,370,176, 47, 80,154,254,411,210,310, 39,391,
9409         171,278, 83,133,256,348,208,121, 35)( 16, 22, 97,179,425, 73,322,258,
9410         243,204,373, 29, 55,185,152, 65,406,273,306,207,394, 24,286,188,131,
9411          67,343,271,117,203)( 17,148, 86,410,441,304,333,384,234,288,377,134,
9412         46,353,166,107,413, 21,295,102,389,423,283,335,132,235,351,376,113,
9413          56)( 26, 76,175,257, 75,196,268, 33,202,184)( 28,265,180,194, 79)
9414        ( 30,223,177,215, 72,217,261,222,198,226)( 34,181,173, 68, 70,259,264,
9415         201,205, 37) ] ],
9416[ 15, 29262643200, 0, "4c", [ [ 400, 1 ], [ 40, 1 ] ], 1,
9417  "PGammaL(3, 4) wreath Sym(2)", [ "L", [ 3, 4 ], 2 ],
9418  [ (  1, 24,436,332,119,397,190,402,247,353,224, 82, 43, 87,163, 17, 35,439,
9419         316,108,394,206,413,250,337,213, 79, 59, 98,166)(  2, 32,428,317,116,
9420         386,191,410,239,338,221, 71, 44, 95,155)(  3, 37,437,329,124,379,192,
9421         415,248,350,229, 64, 45,100,164, 14, 40,421,318,121,395,203,418,232,
9422         339,226, 80, 56,103,148)(  4, 25,424,319,109,382,193,403,235,340,214,
9423         67, 46, 88,151)(  5, 31,435,320,115,393,194,409,246,341,220, 78, 47,
9424          94,162)(  6, 41,433,327,123,387,195,419,244,348,228, 72, 48,104,160,
9425         12, 39,429,321,125,391,201,417,240,342,230, 76, 54,102,156)
9426        (  7, 42,427,336,112,399,196,420,238,357,217, 84, 49,105,154, 21, 28,
9427         441,322,126,385,210,406,252,343,231, 70, 63, 91,168)(  8, 23,431,323,
9428         107,389,197,401,242,344,212, 74, 50, 86,158)(  9, 27,440,328,117,396,
9429         198,405,251,349,222, 81, 51, 90,167, 13, 33,438,324,111,398,202,411,
9430         249,345,216, 83, 55, 96,165)( 10, 36,425,325,120,383,199,414,236,346,
9431         225, 68, 52, 99,152)( 11, 29,422,326,113,380,200,407,233,347,218, 65,
9432         53, 92,149)( 15, 26,430,330,110,388,204,404,241,351,215, 73, 57, 89,
9433         157)( 16, 38,434,334,106,381,205,416,245,355,211, 66, 58,101,161, 19,
9434         22,423,331,122,392,208,400,234,352,227, 77, 61, 85,150)
9435        ( 18, 30,426,335,118,390,207,408,237,356,223, 75, 60, 93,153, 20, 34,
9436         432,333,114,384,209,412,243,354,219, 69, 62, 97,159)(127,276,373,185,
9437         308,145,274,360,184,311,140,292,358,171,310,143,287,376,169,297,142,
9438         290,371,187,295,129,289,374,182,313)(128,284,365,170,305,134,275,368,
9439         176,296,137,281,359,179,302)(130,277,361,172,298)(131,283,372,173,
9440         304,141,278,367,183,299,136,288,362,178,309)(132,293,370,180,312,135,
9441         279,377,181,306,144,282,363,188,307,138,291,366,174,314,139,285,375,
9442         177,300,146,286,369,186,303)(133,294,364,189,301,147,280,378,175,315)
9443        (253,255,268,269,266,271)(254,263,260)(257,262,267)(258,272,265,264,
9444         270,261)(259,273), (  1,337,357,315,308, 35, 37, 16)(  2,400,347,441,
9445         297,140, 39,205, 13,358,351,189,301,266, 26,226)(  3,127,354,210,307,
9446         371, 36,184,  7,253,341,231,296,413, 32,436)(  4, 85,340,105,298, 98,
9447         25,100)(  5,211,338,420,305,434, 24,142, 18,190,349,378,309,182, 28,
9448         268)(  6,106,355,252,314,287, 30, 79, 12,379,353,336,302, 56, 31,163)
9449        (  8, 43,346,168,300,119, 40,247, 20,274,345, 84,306,392, 38,331)
9450        (  9, 64,348,399,311,329, 29, 58, 10,148,342,126,313,245, 41,289)
9451        ( 11,421,339,147,312,203, 34,373, 15,169,343,273,299,224, 23,415)
9452        ( 14, 22,352, 21,295,350, 42,310)( 17,316,344, 63,304,161, 27,121, 19,
9453         232,356,294,303, 77, 33,394)( 44,409,158,426,108,145,249,209,286,366,
9454         78,180,385,269,320,218)( 45,136,165,195,118,376,246,188,280,261, 68,
9455         222,380,416,326,428)( 46, 94,151, 90,109,103,235,104,277, 93, 67, 96,
9456         382,101,319, 92)( 47,220,149,405,116,439,234,146,291,198, 76,369,393,
9457         185,322,260)( 48,115,166,237,125,292,240, 83,285,387, 80,327,386, 59,
9458         325,155)( 49,262,152,216,107,418,242,440,276,135, 81,201,391,374,330,
9459         176)( 50, 52,157,153,111,124,250,251,293,282, 72, 75,390,395,332,323)
9460        ( 51, 73,159,384,122,334,239, 62,283,156, 69,117,397,248,335,281)
9461        ( 53,430,150,132,123,208,244,377,288,177, 70,264,383,227,317,407)
9462        ( 54,388,164,321,113, 61,241,167,279,114, 82,243,398,290,324, 71)
9463        ( 55,367,162,174,112,271,236,230,275,408, 74,432,381,143,333,197)
9464        ( 57,178,154,258,110,229,233,419,284,429, 66,138,396,206,328,365)
9465        ( 60,199,160,363,120,187,238,272,278,219, 65,411,389,437,318,134)
9466        ( 86,403, 95,424, 87,130,102,193, 97,361, 99,172, 91,256, 89,214)
9467        (128,417,200,433,360,141,186,196,265,362,225,170,406,263,425,213)
9468        (129,144,207,202,370,372,183,175,259,257,215,212,401,410,431,423)
9469        (131,228,191,412,368,435,171,133,270,194,223,359,414,179,427,255)
9470        (137,438,192,139,375,204,181,364,267,173,217,254,404,221,422,402) ] ],
9471[ 16, 1305142185996479054634545892556800000000, 0, "4c",
9472  [ [ 400, 1 ], [ 40, 1 ] ], 1, "Alt(21) wreath Sym(2)", [ "A", 21, 2 ],
9473  [ (  1, 60,327, 13, 43,333, 12, 55,316, 18, 54,328)(  2, 53,336,  7, 61,320,
9474         16, 48,323, 20, 44,326, 21, 49,334,  5, 58,321,  8, 62,317, 11, 63,
9475         322, 19, 47,331,  6, 50,335)(  3, 59,319, 10, 51,329, 15, 45,332,  4,
9476         52,324, 14, 57,318, 17, 46,325,  9, 56,330)( 22, 81,411,370,232,312,
9477          96,202,169,165,348,265,421,396,222, 34, 64,417,369,244,295,102,201,
9478         181,148,354,264,433,379,228, 33, 76,400,375,243,307, 85,207,180,160,
9479         337,270,432,391,211, 39, 75,412,358,249,306, 97,190,186,159,349,253,
9480         438,390,223)( 23, 74,420,364,250,299,100,195,176,167,338,263,441,385,
9481         229, 26, 79,405,365,251,296, 95,210,175,166,341,268,426,386,230)
9482        ( 24, 80,403,367,240,308, 99,192,185,151,346,261,434,393,213, 38, 67,
9483         409,366,245,309, 87,206,172,157,345,266,435,381,227, 25, 73,408,371,
9484         246,297,101,193,178,156,350,267,423,395,214, 31, 72,413,372,234,311,
9485          88,199,177,161,351,255,437,382,220, 30, 77,414,360,248,298, 94,198,
9486         182,162,339,269,424,388,219, 35, 78,402,374,235,304, 93,203,183,150,
9487         353,256,430,387,224, 36, 66,416,361,241,303, 98,204,171,164,340,262,
9488         429,392,225)( 27, 71,419,359,242,315, 91,208,173,163,342,260,440,380,
9489         221, 42, 70,418,362,247,300, 92,209,170,158,357,259,439,383,226)
9490        ( 28, 82,404,373,237,302,104,191,179,168,343,271,425,394,216, 29, 83,
9491         401,368,252,301,103,194,184,153,344,272,422,389,231)( 32, 84,406,376,
9492         236,310, 90,197,188,149,347,273,427,397,215, 37, 69,407,377,233,305,
9493         105,196,187,152,352,258,428,398,212)( 40, 68,415,363,239,314, 86,200,
9494         189,154,355,257,436,384,218, 41, 65,410,378,238,313, 89,205,174,155,
9495         356,254,431,399,217)(106,123,117,118)(107,116,126,112,124,110,121,
9496         111,113,125)(108,122,109,115,114,119,120)(127,144,138,139)
9497        (128,137,147,133,145,131,142,132,134,146)(129,143,130,136,135,140,141)
9498        (274,291,285,286)(275,284,294,280,292,278,289,279,281,293)
9499        (276,290,277,283,282,287,288),
9500      (  1,360,348,265, 19, 87,346,181,  8,402,354,244, 15, 45,352,118,  6,
9501         150,353, 76,  2,213,356, 34,  4,192,345,286, 14,297,337,370, 12,255,
9502         355, 97, 10,171,344,412, 18,234,351, 55, 16,108,342,160, 17, 66,338,
9503         223, 20, 24,340,202,  9,276,350,307)(  3,339,349, 13)
9504        (  5,318,357,139,  7,381,347,433)( 11,423,341,328, 21,129,343,391)
9505        ( 22,361,201,261,292, 98,304,169,365,411,270,250, 99, 52,184,113,405,
9506         165,248, 78, 44,226,125, 27,151,206, 72,275,224,314)( 23,214,209, 30,
9507         277,203,303,274,371,306,253,376, 96,262,187, 92,409,186,239,414, 60,
9508         247,120, 48,163,122, 69,149,227, 83)( 25,193,198,282,287,308,295,358,
9509         369,264,271,103, 94,178,176,407,417,249,246, 57, 58,121,111,153,164,
9510          80, 65,212,230, 41)( 26,319,210,135,280,392,305,421,362,327,273,145,
9511         91,388,179,428,404,333,252,141, 49,394,116,426,152,332, 84,128,217,
9512         398, 32,424,194,324,294,140,301,379,368,432,257,334,105,136,175,386,
9513         410,438,236,330, 63,142,112,384,158,437, 68,317,231,146, 28,382,200,
9514         429,278,329,315,127,364,390,263,439, 89,325,189,134,406,396,242,435,
9515          47,331,126,132,154,395, 74,422,215,335, 42,130,196,387,284,434,299,
9516         316,378,138,259,397, 95,430,173,323,420,144,238,393, 53,436,110,321,
9517         168,143, 70,380,221,440)( 29,403,207,240,288, 56,310,106,363,159,269,
9518         82, 86,220,188)( 31,172,197,408,291,245,309, 43,373,117,258,166,101,
9519          73,170,218,419, 39,235,204, 51,289,119,300,148,374, 75,254,229,104)
9520        ( 33,256,208, 93,283,182,302,400,375,243,267, 61,100,115,174,155,416,
9521          81,233,225, 62, 37,109,195,156,290, 77,296,211,377)( 35,298,190,366,
9522         285,266,313, 85,367,180,260,418,102,241,183, 50,415,123,237,162, 59,
9523          79,107,216,167, 38, 67,191,219,293)( 36, 46,205,114,279,161,311, 64,
9524         359,222,272, 40, 88,199,177,281,413,312,232,372, 54,268,124, 90,157,
9525         185, 71,401,228,251)(131,322,399,137,427,383,326,441)
9526        (133,385,389,431,425,320,336,147) ] ],
9527[ 17, 2610284371992958109269091785113600000000, 0, "4c",
9528  [ [ 400, 1 ], [ 40, 1 ] ], 1, "Alt(21)^2.2^2", [ "A", 21, 2 ],
9529  [ (  1, 60,397,200,373,175,216,251, 25,267, 64, 50,313,199,352,189,132,245,
9530          88,264,274, 45,334,191, 16,186,384,242,361,259,211, 62, 40,204, 79,
9531         176,300,241,340,273,127, 56,103,201,289,171,321,233,  4,270,379, 53,
9532         376,196,226,188, 27,246, 67,260,295, 52,355,210,142,182, 90,243,277,
9533         255,316, 44, 19,207,394,179,363,238,214,272, 22, 57, 82,197,310,178,
9534         342,252,130,266, 85, 54,292,192,331,170,  6,249,382,263,358, 49,229,
9535         209, 37,183, 69,239,298,262,337, 63,145,203,100,180,279,234,319,254)
9536        (  2, 18,396,389,368,364,217,230, 41, 36, 78, 71,302,304,346,357,147,
9537         140, 98, 96,285,276,318,317)(  3,333,380, 11,375,385,221,377, 28,225,
9538         83, 29,309, 73,344,315,136,350,105,138,287, 87,327,275)
9539        (  5,165,391,116,366,427,227,419, 26,162, 76,113,303,430,353,420,131,
9540         161, 97,117,282,423,332,401)(  7,228,398, 32,372, 70,218,314, 31,351,
9541         84,134,308, 94,348,294,129,329, 86, 12,291,381,326,359)
9542        (  8,312,388,347,378,133,224,104, 33,288, 66,323,296, 10,354,399,137,
9543         371, 91,222,293, 24,330, 65)(  9,438,395,410,362,154,223,125, 30,435,
9544         80,407,299,157,349,126,135,434,101,411,278,150,328,107)
9545        ( 13,123,387,431,374,406,215,167, 34,120, 72,428,311,409,341,168,139,
9546         119, 93,432,290,402,320,149)( 14,102,390,284,360,322,212, 20, 39,393,
9547         74,365,301,220,356, 42,141, 77, 92,306,283,339,336,128)
9548        ( 15, 81,386,305,367,343,231,146, 35, 99, 75,281,297,325,338, 21,144,
9549         392, 95,369,280,213,335, 23)( 17,417,383,158,370,112,219,440, 38,414,
9550         68,155,307,115,345,441,143,413, 89,159,286,108,324,422)
9551        ( 43, 61,208,205,184,174,237,235,256,253)( 46,271,190, 58,187,195,247,
9552         172,258,232)( 47,166,202,121,177,426,248,403,257,148, 55,124,198,436,
9553         185,405,236,151,265,106, 51,439,206,415,173,153,244,109,261,421, 59,
9554         418,194,163,181,111,240,424,269,400)( 48,250,193,268,169)
9555        (110,156,433,122,408,425,164,412)(114,429,437,416,404,152,160,118),
9556      (  1, 60,311,410,361,259,149, 34,287,  3,333,295, 53,374,406,151,265,
9557         275, 24,329)(  2, 39,308, 11,375,301,158,370,280,150,328,274, 45,332,
9558         400, 46,269,401, 25,266)(  4,270,296, 32,371,  7,165,307,284,360,322,
9559         148, 55,290,402,319,253, 44, 38,413)(  5,123,303, 74,365,238,166,202,
9560         294, 87,330,379, 48,185,415,424,264,212, 26,119,  9, 81,302,242,376,
9561         196,168, 97,288,381,321,169, 58,437,411,214,257,107, 30, 77,  8,249,
9562         313,200,378, 91,162,391,279,171,331,421, 54,227,404,109,261, 65, 29,
9563         245, 19,207,315, 95,372,385,153,181,289,423,327,211, 47,122,408, 67,
9564         260,233, 40,203, 21,102,309,389,363,175,163,433,285,213,320,106, 51,
9565          80,407,235,271,191, 42, 98, 15,396,300,179,373,427,159,223,278,108,
9566         324, 64, 50,248,418,193,273, 86, 36,392,  6,186,310,431,369,217,152,
9567         118,282, 66,323,232, 61,206,420, 88,267,380, 27,182, 16,438,306,221,
9568         362,112,156, 76,281,234,334,190, 63,101,414,382,258,170, 37,434, 12,
9569         228,299,116,366, 70,155,244,292,192,336, 85, 57,395,405,172,268,422,
9570          33,224)( 10,354,314,137,367,343,167,139,283,339,335,127, 52,353,419,
9571         130,262,338, 41,140)( 13,291,297,326,358, 49,164,412,277,255,317, 22,
9572         56, 17,417,298,263,359, 28,161)( 14, 18,312,305,368,364,154,160,286,
9573         276,318,316, 43, 59,416,403,256,254, 23, 35)( 20,144,304,347,377,133,
9574         157,349,293,129,325,337, 62,143,409,340,272,128, 31,350)
9575        ( 68,113,240, 82,197,252,103,204,399, 90,183,394,426,180,226,425,117,
9576         219)( 69,176,247,439,201,231, 89,120,387)( 71,239,250,208,210,105,
9577          99,393,384,174,184,436,432,222,215,110,114, 72)( 73,344,251,145,199,
9578         357,104,141,388,342,188,142,430,348,230,131,115,345, 83,134,241,355,
9579         209,147, 94,351,398,132,178,352,440,138,220,341,125,135)
9580        ( 75,218,236,124,198, 84, 92,246,397,195,189,100,435,390,216,173,121,
9581         429)( 78,386,237,187,205,441, 96,225,383,111,177, 79,428,243,229,194,
9582         126, 93)(136,346,356,146) ] ],
9583[ 18, 2610284371992958109269091785113600000000, 0, "4c",
9584  [ [ 400, 1 ], [ 40, 1 ] ], 1, "Alt(21)^2.4", [ "A", 21, 2 ],
9585  [ (  1,272,354,164,371, 30,300, 21,255,355,162,373, 31,306, 11,260,337,167,
9586         375, 38,308,  9,258,357,150,376, 36,310, 10,264,347,155,358, 41,312,
9587          17,266,345,153,378, 24,313, 15,268,346,159,368, 29,295, 20,270,353,
9588         161,366, 27,315,  3,271,351,163,367, 33,305,  8,253,356,165,374, 35,
9589         303,  6,273,339,166,372, 37,304, 12,263,344,148,377, 39,311, 14,261,
9590         342,168,360, 40,309, 16,262,348,158,365, 22,314, 18,269,350,156,363,
9591          42,297, 19,267,352,157,369, 32,302)(  2,259,338,154,359, 28,296,  7,
9592         254,343,149,364, 23,301)(  4,265,340,160,361, 34,298, 13,256,349,151,
9593         370, 25,307)(  5,257,341,152,362, 26,299)( 43,188,333,143, 77,387,
9594         279,105,213,250, 57,184,325,138, 74,386,274,104,228,248, 56,177,321,
9595         147, 66,397,288,100,220,243, 53,176,316,146, 81,395,287, 93,216,252,
9596          45,187,330,142, 73,390,284, 92,211,251, 60,185,329,135, 69,399,276,
9597         103,225,247, 52,180,326,134, 64,398,291,101,224,240, 48,189,318,145,
9598          78,394,283, 96,221,239)( 44,175,317,133, 65,385,275, 91,212,238)
9599        ( 46,181,319,139, 67,391,277, 97,214,244)( 47,173,320,131, 68,383,278,
9600         89,215,236)( 49,170,322,128, 70,380,280, 86,217,233)( 50,169,335,144,
9601         80,392,282, 90,231,234, 61,183,331,136, 75,389,281, 85,230,249, 59,
9602         182,324,132, 84,381,292, 99,226,241, 54,179,323,127, 83,396,290, 98,
9603         219,237, 63,171,334,141, 79,388,285, 95,218,232, 62,186,332,140, 72,
9604         384,294, 87,229,246, 58,178,327,137, 71,379,293,102,227,245, 51,174,
9605         336,129, 82,393,289, 94,222,242)( 55,172,328,130, 76,382,286, 88,223,
9606         235)(106,209,123,206,119,198,111,210,108,208,120,205,115,201,116,197)
9607        (107,196)(109,202)(110,194)(112,191)(113,190,125,207,122,203,114,195,
9608         126,192,124,204,121,199,117,200)(118,193)(400,440,417,437,413,429,
9609         405,441,402,439,414,436,409,432,410,428)(401,427)(403,433)(404,425)
9610        (406,422)(407,421,419,438,416,434,408,426,420,423,418,435,415,430,411,
9611         431)(412,424), (  1,391, 14,160, 18,328,  7,433, 20,349,  8, 34, 15,
9612         307)(  2,118, 10,223, 12,202,  6,412, 21, 55,  9, 97, 11,139,  4,244,
9613         3,370)(  5, 76, 19,286)( 16,181)( 17,265)( 22,393,308,148,396,329,
9614         154,438,335,343,428, 41,351,302)( 23,120,304,211,390,203,153,417,336,
9615         49,429,104,347,134, 25,246,297,358,380,119,157,228,327,196,426,419,
9616         357, 50, 30, 99,305,127,382,245,150,375,317,112,430,230,348,197, 27,
9617         414,315, 43,387, 98,158,144,319,238,423,377,338,113, 31,225,306,190,
9618         384,413,168, 60,324, 91,431,146,340,239, 24,372,296,106,388,224,159,
9619         207,321,406,441, 62,345, 92, 32,141,298,232,381,371,149,123,325,217,
9620         432,209,342,407, 42, 57,303, 85,389,140,151,249,318,364,422,125,346,
9621         218, 33,204,300,400,399, 56,156,102,326,133,424,251,339,365)
9622        ( 26, 78,313,274,383, 77,166,291,320, 70,439,293,341, 71, 40,288,299,
9623          64,397,287,152, 81,334,280,425, 83,355,281)( 28,435,314,337,386, 35,
9624         162,312,316,385,434,167,354,323)( 29, 36,309,295,379,392,161,165,333,
9625         322,427,440,356,344)( 37,183,310,169,394,182,163,186,331,175,436,188,
9626         352,176)( 38,267,311,253,395,266,164,270,332,259,437,272,353,260)
9627        ( 39,330,301,421,398,350,155)( 44,114, 94,221,138,193,237,402,378)
9628        ( 45,366, 86,116,136,214,243,192,363,401,126, 52,219, 96,200,132,403,
9629         252)( 46,240, 87,368,128,109,241,213,369,191,111,409,231, 54,198, 90,
9630         410,147)( 47, 72,103,284,131, 67,250,276,362, 65,124,283,215, 75,208,
9631         279,404, 84, 61,282, 89, 74,145,277,236, 66,376,275,110, 73,229,285,
9632         194, 69,418,294)( 48,408,105, 53,135, 88,242,129,361,233,108,367,212,
9633         117,199,216,411,210)( 51, 93, 95,137,130,235,234,360,359,107,115,220,
9634         222,201,195,405,420, 63)( 58,177,100,179,142,172,247,171,373,170,121,
9635         178,226,180,205,174,415,189)( 59,261,101,263,143,256,248,255,374,254,
9636         122,262,227,264,206,258,416,273)( 68, 82,292,278)( 79,187,289,173)
9637        ( 80,271,290,257)(185,268) ] ],
9638[ 19, 5220568743985916218538183570227200000000, 0, "4c",
9639  [ [ 400, 1 ], [ 40, 1 ] ], 1, "Sym(21) wreath Sym(2)", [ "A", 21, 2 ],
9640  [ (  1,169,175,343,356,104,101,311,302, 29, 27,405,415,142,137,389,387,282,
9641         292, 61, 46,151,149,254,266,329,318,  3)(  2,253,182,322,339, 20, 85,
9642         185,301,344, 41, 90,416,310,134, 32,384,408,289,145, 53,382,156,275,
9643         271, 56,319,150)(  4,148,170,259,350,335, 87, 17,295,176, 28,342,419,
9644         100,143,305,386, 30,279,418, 58,130,158,380,261,287,334, 45)
9645        (  5,421,186,217,357,251, 96,206,307,113, 26,426,417,226,147,242,390,
9646         198,286,124, 47,424,165,212,273,245,327,192, 13,106,173,427,354,230,
9647         105,248,306,197, 34,111,404,436,144,221,399,240,285,208, 55,109,152,
9648         422,270,224,336,234, 12,190,181,112,341,440,102,227,315,239, 33,195,
9649         412,121,131,431,396,219,294,250, 54,193,160,107,257,434,333,213, 21,
9650         232,180,196,349,125, 89,437,312,218, 42,237,411,205,139,116,383,429,
9651         291,229, 63,235,159,191,265,119,320,423, 18,211,189,238,348,209, 97,
9652         122,299,428, 39,216,420,247,138,200,391,114,278,439, 60,214,168,233,
9653         264,203,328,108)(  6,400,184,133,347,398, 93,290,313, 50, 25,153,401,
9654         268,140,326,381,  9,274,187, 49,340,167, 86,269,308,323, 24)
9655        (  7,337,188, 91,353,314, 92, 38,300,407, 37,132,410,394,135,284,397,
9656          51,277,166, 44,256,161,317,255, 14,316,171)(  8, 22,174,406,352,146,
9657         95,395,303,281, 40, 48,403,163,128,263,392,324,276, 19, 43,172,154,
9658         338,272, 98,332,297)( 10, 64,183,364,346, 83, 99,374,304, 71, 36,363,
9659         409, 79,141,368,388, 72,288,376, 52, 67,162,359,262, 77,330,360)
9660        ( 11,379,177,280,355, 62, 88,164,296,260, 35,321,402, 16,127,179,385,
9661         345,293,103, 59,298,155, 23,258,413,331,129)( 15,358,178, 70,351,377,
9662         94, 80,309,365, 31, 69,414,373,136, 74,393,366,283, 82, 57,361,157,
9663          65,267,371,325, 66)( 68,435,375,220, 84,246,369,199, 76,120,362,430,
9664         81,225,378,241, 75,204,370,115)( 73, 78,372,367)(110,425,438,228,231,
9665         252,243,201,202,118)(117,194,433,123,215,441,249,222,210,244)
9666        (126,236,432,207,223),
9667      (  1,212,309, 71,431,144,259,392,366,325,108,105,290,355, 62,  4,191,
9668         307,155,421,228,267, 77,368,136,112,399,282,334, 45, 88,206,349,167)
9669        (  2,296,302,428,438,270,266,371,367,115,126,294,292, 61, 46,193,202,
9670         160,148,211,225, 78, 74,137,133,385,387,324,318, 87,101,353,356, 20)
9671        (  3, 86,311,344,440, 18,254,308,365,430,123,273,287,376, 52,109,210,
9672         286,166, 43,214,204, 76,158,127,217,393, 72,326,129, 91,395,345,335)
9673        (  5,401,310,176,425,417,268,182,362,409,121,189,278,418, 58,172,194,
9674         412,163,169,215,414, 79,179,131,406,394,177,320,402,100,185,341,419,
9675          16,170,299,407,436,186,257,413,373,178,110,420,289,187, 47,403,205,
9676         181,152,400,226,183, 68,410,142,175,383,408,331,171, 89,416,352,188)
9677        (  6, 23,300, 29,426, 39,258, 35,363, 31,111, 42,279, 40, 48, 25,195,
9678          34,153, 22,216, 36, 69, 32,132, 28,384, 30,321, 24, 90, 38,342, 41)
9679        (  7,380,303,323,423,102,269,350,377, 10,107,315,281,439, 60,256,203,
9680         370,157,106,231,288, 82, 53,130,196,391,156,316,213, 99, 80,347,146)
9681        (  8,422,312,260,434,375,262,119,378,283,124, 63,277,208, 55,151,190,
9682         223,162, 64,221,141, 70,389,135,322,381, 93,332,339,104, 17,338,314)
9683        (  9,317,297, 92,437,354,272, 14,359,304,113,441,291,271, 56,361,199,
9684         118,168,274,229, 57, 67,200,139,154,379,219,330, 66, 95,143,343,398)
9685        ( 11,128,301,386,429,333,255, 98,374,346,125, 21,275,313, 50,424,207,
9686         265,161,358,220,120, 84,284,145, 49,382,198,328,150, 85,227,351, 83)
9687        ( 12,233,306,239,432,249,264,245,369,241,117,252,285,250, 54,235,201,
9688         244,159,232,222,246, 75,242,138,238,390,240,327,234, 96,248,348,251)
9689        ( 13,149,295,218,435, 81,263,140,364,388,114,336,276,103, 59,340,209)
9690        ( 15, 65,305,134,427,396,261,329,360, 94,122,357,293, 19, 44,298,197,
9691         433,165,253,224,372, 73,116,147,280,397, 51,319,192, 97,164,337,230)
9692        ( 26,405, 37,174)( 33,237)(173,404,415,184)(180,236,411,247) ] ],
9693[20, Factorial(441)/2,1,"2",[[440,1]],439, "Alt(441)", ["A",441, 1], "Alt"],
9694[21, Factorial(441),0,"2",[[440, 1]],441, "Sym(441)", ["A",441, 1], "Sym"],
9695[ 22, 112896, 0, "4c",
9696  [ [ 8, 3 ], [ 128, 1 ], [ 64, 2 ], [ 32, 4 ], [ 16, 2 ] ], 1,
9697  "PSL(2, 7)^2.2^2", [ "L", [ 2, 7 ], 2 ],
9698  [ (  1, 91,428,349,  3,301,429,391)(  2,322,422,328)(  4,280,441,370,  5,
9699         175,440,118)(  6,133,439,244)(  7,427,433, 13)(  8,343,423,307,  9,
9700         385,421, 97)( 10, 49,431,265, 14,406,435, 34)( 11,259,434,412, 15,
9701          28,430, 55)( 12,217,437,202, 16,154,438, 76)( 17,196,436,160, 18,
9702          70,432,223)( 19,238,426,139)( 20,112,424,286, 21,364,425,181)
9703        ( 22, 94, 50,347,255,308,408,393)( 23,325, 44,326,254,329,401,330)
9704        ( 24,304, 51,389,253, 98,407,351)( 25,283, 63,368,257,182,419,120)
9705        ( 26,178, 62,116,256,287,420,372)( 27,136, 61,242,258,140,418,246)
9706        ( 29,346, 45,305,261,392,400, 99)( 30,388, 43, 95,260,350,402,309)
9707        ( 31, 52, 53,263,266,413,414, 36)( 32,262, 56,410,267, 35,409, 57)
9708        ( 33,220, 59,200,268,161,417, 78)( 37,157, 60, 74,264,224,416,204)
9709        ( 38,199, 58,158,270, 77,411,225)( 39, 73, 54,221,269,203,415,162)
9710        ( 40,241, 48,137,271,245,405,141)( 41,115, 46,284,273,371,404,183)
9711        ( 42,367, 47,179,272,119,403,288)( 64, 96,218,353,192,310,156,396)
9712        ( 65,327,212,332,191,331,149,333)( 66,306,219,395,190,100,155,354)
9713        ( 67,285,231,374,194,184,167,123)( 68,180,230,122,193,289,168,375)
9714        ( 69,138,229,248,195,142,166,249)( 71,348,213,311,198,394,148,102)
9715        ( 72,390,211,101,197,352,150,312)( 75,222,227,206,205,163,165, 81)
9716        ( 79,159,228, 80,201,226,164,207)( 82,243,216,143,208,247,153,144)
9717        ( 83,117,214,290,210,373,152,186)( 84,369,215,185,209,121,151,291)
9718        ( 85, 92,344,339,297,303,387,379)( 86,323,338,318,296,324,380,316)
9719        ( 87,302,345,381,295, 93,386,337)( 88,281,357,360,299,177,398,106)
9720        ( 89,176,356,108,298,282,399,358)( 90,134,355,234,300,135,397,232)
9721        (103,239,342,129,313,240,384,127)(104,113,340,276,315,366,383,169)
9722        (105,365,341,171,314,114,382,274)(107,319,275,336,359,320,170,335)
9723        (109,277,294,378,362,173,188,125)(110,172,293,126,361,278,189,377)
9724        (111,130,292,252,363,131,187,251)(124,235,279,147,376,236,174,146)
9725        (128,334,233,321)(132,145,250,237),
9726      (  1,237,425,127,  6,236,421,132,  5,232,426,131)(  2,249,424,141,  3,
9727         247,422,144,  4,246,423,142)(  7,244,437,135, 20,243,427,139, 17,240,
9728         440,138)(  8,241,431,140, 21,250,428,136, 11,245,441,145)
9729        (  9,251,432,133, 13,248,429,146, 12,238,433,143)( 10,242,434,147, 19,
9730         239,430,137, 14,252,439,134)( 15,234,436,128, 18,235,435,129, 16,233,
9731         438,130)( 22,195, 47,148,258, 68,400,216, 26,190, 48,152,253, 69,404,
9732         211, 27,194, 43,153,257, 64,405,215)( 23,207, 46,162,255, 79,401,228,
9733         25,204, 45,163,254, 81,403,225, 24,205, 44,165,256, 78,402,226)
9734        ( 28,202, 59,156,272, 75,406,223, 38,198, 62,159,259, 76,416,219, 41,
9735         201, 49,160,269, 72,419,222)( 29,199, 53,161,273, 82,407,220, 32,203,
9736         63,166,260, 73,410,224, 42,208, 50,157,263, 77,420,229)
9737        ( 30,209, 54,154,265, 80,408,230, 33,196, 55,164,261, 83,411,217, 34,
9738         206, 51,167,264, 70,412,227)( 31,200, 56,168,271, 71,409,221, 35,210,
9739         61,155,262, 74,413,231, 40,197, 52,158,266, 84,418,218)
9740        ( 36,192, 58,149,270, 67,414,213, 37,191, 60,151,267, 66,415,212, 39,
9741         193, 57,150,268, 65,417,214)( 85,363,341,169,300,110,379,279, 89,358,
9742         342,173,295,111,383,274, 90,362,337,174,299,106,384,278)
9743        ( 86,375,340,183,297,121,380,291, 88,372,339,184,296,123,382,288, 87,
9744         373,338,186,298,120,381,289)( 91,370,353,177,314,117,385,286,101,366,
9745         356,180,301,118,395,282,104,369,343,181,311,114,398,285)
9746        ( 92,367,347,182,315,124,386,283, 95,371,357,187,302,115,389,287,105,
9747         376,344,178,305,119,399,292)( 93,377,348,175,307,122,387,293, 96,364,
9748         349,185,303,125,390,280, 97,374,345,188,306,112,391,290)
9749        ( 94,368,350,189,313,113,388,284, 98,378,355,176,304,116,392,294,103,
9750         365,346,179,308,126,397,281)( 99,360,352,170,312,109,393,276,100,359,
9751         354,172,309,108,394,275,102,361,351,171,310,107,396,277)(316,321,320)
9752        (317,333,319,330,318,331)(322,328,332,324,335,327)(323,325,326,329,
9753         336,334) ] ],
9754[ 23, 112896, 0, "4c",
9755  [ [ 16, 3 ], [ 128, 1 ], [ 8, 1 ], [ 64, 3 ], [ 32, 2 ] ], 1,
9756  "PSL(2, 7)^2.4", [ "L", [ 2, 7 ], 2 ],
9757  [ (  1,376,429, 52,165,382, 91, 80,279,328,203,212)(  2, 19,439,430,157,151,
9758         88,101,290,286,202,191)(  3,313,441,262,167,403, 92, 38,285,181,200,
9759         128)(  4,103,437,283,160,193, 86, 17,292,433,199,149)
9760        (  5,124,436,346,162,235, 89,122,289,349,204,233)(  6,334,434,220,148,
9761         361, 93, 59,291,391,196, 65)(  7, 82,426,325,161,214, 85,374,282, 55,
9762         207,380)(  8, 40,432,178,158,130, 87,311,294,265,209,401)
9763        (  9, 61,438,388,154, 67, 90,332,287,223,190,359)( 10,166,424, 94,164,
9764         277, 97,206,275, 13,208,422)( 11,145,423,304,168,256,104,416,281, 34,
9765         201,170)( 12,187,431,136,150,298,105,269,293,412,197, 23)
9766        ( 14,229,421,367,156, 46,102,395,280, 76,195,317)( 15,250,425,115,163,
9767         340, 99,248,278,118,205,338)( 16,355,435,241,152,109,100,353,288,244,
9768         194,107)( 18,397,427, 73,153,319, 98,227,274,370,198, 44)
9769        ( 20,418,428, 31,159,172, 95,143,276,307,210,254)( 21,271,440,409,155,
9770         25, 96,185,284,139,192,296)( 22,369,177, 53,144,381,301, 84,258,335,
9771         413,218)( 24,306,189,263,146,402,302, 42,264,188,410,134)
9772        ( 26,117,184,347,141,234,299,126,268,356,414,239)( 27,327,182,221,127,
9773         360,303, 63,270,398,406, 71)( 28, 75,174,326,140,213,295,378,261, 62,
9774         417,386)( 29, 33,180,179,137,129,297,315,273,272,419,407)
9775        ( 30, 54,186,389,133, 66,300,336,266,230,400,365)( 32,138,171,305,147,
9776         255,314,420,260, 41,411,176)( 35,222,169,368,135, 45,312,399,259, 83,
9777         405,323)( 36,243,173,116,142,339,309,252,257,125,415,344)
9778        ( 37,348,183,242,131,108,310,357,267,251,404,113)( 39,390,175, 74,132,
9779         318,308,231,253,377,408, 50)( 43,375,387, 49, 81,384,322, 77,216,316,
9780         371,219)( 47,123,394,343, 78,237,320,119,226,337,372,240)
9781        ( 48,333,392,217, 64,363,324, 56,228,379,364, 72)( 51, 60,396,385, 70,
9782         69,321,329,224,211,358,366)( 57,249,383,112, 79,342,330,245,215,106,
9783         373,345)( 58,354,393,238, 68,111,331,350,225,232,362,114)
9784        (110,121,352,351,246,236)(120,247,341),
9785      (  1,281,413,216, 20,280,416,211,  8,287,405,230,  7,290,400,218, 14,
9786         279,419,217, 17,274,407,224,  6,293,406,227)(  2,282,415,228, 10,284,
9787         402,212,  9,289,417,220, 11,276,401,219, 16,291,409,221,  3,275,408,
9788         226, 18,283,410,213)(  4,294,404,229, 15,285,412,214, 21,278,418,225,
9789         12,286,403,231,  5,292,414,222, 13,277,420,215, 19,288,411,223)
9790        ( 22,134, 35,132, 41,133, 38,127, 29,140, 27,146, 28,143)
9791        ( 23,135, 37,144, 31,137, 24,128, 30,142, 39,136, 32,129)
9792        ( 25,147, 26,145, 36,138, 34,130, 42,131, 40,141, 33,139)
9793        ( 43,302,434,195, 62,301,437,190, 50,308,426,209, 49,311,421,197, 56,
9794         300,440,196, 59,295,428,203, 48,314,427,206)( 44,303,436,207, 52,305,
9795         423,191, 51,310,438,199, 53,297,422,198, 58,312,430,200, 45,296,429,
9796         205, 60,304,431,192)( 46,315,425,208, 57,306,433,193, 63,299,439,204,
9797         54,307,424,210, 47,313,435,201, 55,298,441,194, 61,309,432,202)
9798        ( 64, 92,182,153, 83, 91,185,148, 71, 98,174,167, 70,101,169,155, 77,
9799          90,188,154, 80, 85,176,161, 69,104,175,164)( 65, 93,184,165, 73, 95,
9800         171,149, 72,100,186,157, 74, 87,170,156, 79,102,178,158, 66, 86,177,
9801         163, 81, 94,179,150)( 67,105,173,166, 78, 96,181,151, 84, 89,187,162,
9802         75, 97,172,168, 68,103,183,159, 76, 88,189,152, 82, 99,180,160)
9803        (106,323,392,237,125,322,395,232,113,329,384,251,112,332,379,239,119,
9804         321,398,238,122,316,386,245,111,335,385,248)(107,324,394,249,115,326,
9805         381,233,114,331,396,241,116,318,380,240,121,333,388,242,108,317,387,
9806         247,123,325,389,234)(109,336,383,250,120,327,391,235,126,320,397,246,
9807         117,328,382,252,110,334,393,243,118,319,399,236,124,330,390,244)
9808        (253,260,266,258,272,259,269)(254,261,268,270,262,263,255)
9809        (256,273,257,271,267,264,265)(337,365,350,363,356,364,353,358,344,371,
9810         342,377,343,374)(338,366,352,375,346,368,339,359,345,373,354,367,347,
9811         360)(340,378,341,376,351,369,349,361,357,362,355,372,348,370) ] ],
9812[ 24, 225792, 0, "4c", [ [ 16, 3 ], [ 128, 1 ], [ 8, 1 ], [ 64, 4 ] ], 1,
9813  "PGL(2, 7) wreath Sym(2)", [ "L", [ 2, 7 ], 2 ],
9814  [ (  1, 79,  7,331, 21,205, 12,436)(  2,247,  8,394, 20,163, 10,184, 13,142,
9815         11,289,  3,226,  4,352)(  5,121,  9,373, 19,415, 18, 37, 15,100, 14,
9816         310, 17,268,  6, 58)( 22, 78, 91,329,315,206,264,426, 43, 68,112,324,
9817         378,208,411,438)( 23,246, 92,392,314,164,262,174, 55,131,116,282,360,
9818         229,403,354)( 24,225, 88,350,296,248,260,384, 62,152,115,177,370,145,
9819         410,291)( 25,351, 86,245,302,395,272,153, 52,173,118,135,368,292,402,
9820         228)( 26,120, 93,371,313,416,270, 27, 57, 89,119,303,374,271,405, 60)
9821        ( 28,330,105,203,306,437,253, 69, 49,320,126,198,369,439,400, 81)
9822        ( 29,393,104,161,304,185,265,132, 53,278,108,219,361,355,401,249)
9823        ( 30,372,103,413,312, 38,267, 90, 56,299,122,261,363, 61,404,123)
9824        ( 31,183, 97,140,305,290,255,216, 46,341,107,240,365,397,419,165)
9825        ( 32,288, 87,224,298,353,254,237, 50,383,125,156,367,187,412,144)
9826        ( 33,435, 85, 77,301,332,273,195, 54,425,106, 72,364,334,420,207)
9827        ( 34,141, 95,287,297,227,256,342, 44,236,113,387,377,166,409,186)
9828        ( 35,309,101,266,300, 59,257,111, 51,362,124,408,375, 40,414,102)
9829        ( 36, 99, 98,308,311,269,258, 48, 47,110,114,366,376,418,417, 39)
9830        ( 41,162, 94,182,307,143,263,279, 45,215,109,345,359,250,407,396)
9831        ( 42,204, 96,434,295, 80,259,321, 63,194,117,429,358, 82,406,333)
9832        ( 64, 70,322,336,210,201,432,421)( 65,238,323,399,209,159,430,169, 76,
9833         133,326,294,192,222,424,337)( 66,217,319,357,191,243,428,379, 83,154,
9834         325,189,202,138,431,274)( 67,343,317,252,197,390,440,148, 73,175,328,
9835         147,200,285,423,211)( 71,385,335,168,199,180,433,127, 74,280,318,231,
9836         193,348,422,232)( 75,427,316, 84,196,327,441,190)(128,242,281,381,
9837         230,151,346,170,244,134,389,293,150,220,172,349)(129,221,277,339,212,
9838         235,344,380,251,155,388,188,160,136,179,286)(130,347,275,234,218,382,
9839         356,149,241,176,391,146,158,283,171,223)(137,284,276,213,214,340,338,
9840         233,239,386,398,167,157,178,181,139),
9841      (  1, 47,351,115, 91,324,386,180,145,168,416,195,213,265)
9842        (  2,425,354, 73, 98,366,382,285,146, 42,415,237,221,307)
9843        (  3,257,337, 52, 99,114,385,327,134,189,418,153,227,202)
9844        (  4,278,356, 31,100,240,389,306,128,441,417, 69,224,370)
9845        (  5,341,346, 94, 93,387,390,138,147,420,405,216,223, 13)
9846        (  6,215,349, 10, 89,345,388, 96,135,399,411,132,231,412)
9847        (  7,320,344,178,103,156,395,201,129,273,400, 48,225,118)
9848        (  8,173,355,157,101,198,381,264,127, 63,414,111,217,328)
9849        (  9,383,348,136,105,408,384,222,139, 21,404,342,220, 97)
9850        ( 11,299,338,430,102, 72,392,369,130,294,419, 27,226,244)
9851        ( 12,131,357,409, 90,219,391)( 14,362,340,283,104, 30,394,243,137,315,
9852         401,426,228, 76)( 15,110,343,325, 92,177,397,159,143,210,402,258,211,
9853         55)( 16,236,347,304, 86,429,396, 75,140,378,403,279,230, 34)
9854        ( 17,194,339,262, 85, 51,393,117,133,336,407,174,229,160)
9855        ( 18, 68,350,367, 88,282,398, 33,142,252,410,300,212,433)
9856        ( 19,152,353,199, 87,261,379, 54,141,126,406,321,218,181)
9857        ( 20, 26,352,241, 95,303,380,432,144, 84,413,363,214,286)
9858        ( 22, 58,246,116,301,317,428,186, 82,161,374,193,276,272)
9859        ( 23,436,249, 74,308,359,424,291, 83, 35,373,235,284,314)
9860        ( 24,268,232, 53,309,107,427,333, 71,182,376,151,290,209)
9861        ( 25,289,251, 32,310,233,431,312, 65,434,375, 67,287,377)
9862        ( 28,331,239,179,313,149,437,207, 66,266,358, 46,288,125)
9863        ( 29,184,250,158,311,191,423,270, 64, 56,372,109,280,335)
9864        ( 36,121,238,326,302,170,439,165, 80,203,360,256,274, 62)
9865        ( 37,247,242,305,296,422,438, 81, 77,371,361,277,293, 41)
9866        ( 38,205,234,263,295, 44,435,123, 70,329,365,172,292,167)
9867        ( 39, 79,245,368,298,275,440)( 40,163,248,200,297,254,421, 60, 78,119,
9868         364,319,281,188)( 43, 57,120,112,322,323,176,187,166,164,206,192,255,
9869         253)( 45,267,106, 49,330,113,175,334,155,185,208,150,269,190)
9870        ( 50,183,124,154,332,197,171,271,148, 59,204,108,259,316)
9871        ( 61,162,122,196,318,260,169) ] ]];
9872PRIMGRP[442]:=
9873[[1, Factorial(442)/2,1,"2",[[441,1]],440, "Alt(442)", ["A",442, 1], "Alt"],
9874[2, Factorial(442),0,"2",[[441, 1]],442, "Sym(442)", ["A",442, 1], "Sym"]];
9875PRIMGRP[443]:=
9876[[1, Factorial(443)/2,1,"2",[[442,1]],441, "Alt(443)", ["A",443, 1], "Alt"],
9877[2, Factorial(443),0,"2",[[442, 1]],443, "Sym(443)", ["A",443, 1], "Sym"],
9878[ 3, 443, 3, "1", [ [ 1, 442 ] ], 1, "C(443)", [ "Z", 443, 1 ], [  ] ],
9879[ 4, 886, 2, "1", [ [ 2, 221 ] ], 1, "D(2*443)", [ "Z", 443, 1 ],
9880  [ [ [ Z(443)^221 ] ] ] ],
9881[ 5, 5759, 2, "1", [ [ 13, 34 ] ], 1, "443:13", [ "Z", 443, 1 ],
9882  [ [ [ Z(443)^34 ] ] ] ],
9883[ 6, 7531, 2, "1", [ [ 17, 26 ] ], 1, "443:17", [ "Z", 443, 1 ],
9884  [ [ [ Z(443)^26 ] ] ] ],
9885[ 7, 11518, 2, "1", [ [ 26, 17 ] ], 1, "443:26", [ "Z", 443, 1 ],
9886  [ [ [ Z(443)^17 ] ] ] ],
9887[ 8, 15062, 2, "1", [ [ 34, 13 ] ], 1, "443:34", [ "Z", 443, 1 ],
9888  [ [ [ Z(443)^13 ] ] ] ],
9889[ 9, 97903, 2, "1", [ [ 221, 2 ] ], 1, "443:221", [ "Z", 443, 1 ],
9890  [ [ [ Z(443)^2 ] ] ] ],
9891[ 10, 195806, 2, "1", [ [ 442, 1 ] ], 2, "AGL(1, 443)", [ "Z", 443, 1 ],
9892  [ [ [ Z(443) ] ] ] ]];
9893PRIMGRP[444]:=
9894[[ 1, 43468932, 1, "2", [ [ 443, 1 ] ], 2, "PSL(2, 443)",
9895  [ "L", [ 2, 443 ], 1 ], "psl" ],
9896[ 2, 86937864, 0, "2", [ [ 443, 1 ] ], 3, "PGL(2, 443)",
9897  [ "L", [ 2, 443 ], 1 ], "pgl" ],
9898[3, Factorial(444)/2,1,"2",[[443,1]],442, "Alt(444)", ["A",444, 1], "Alt"],
9899[4, Factorial(444),0,"2",[[443, 1]],444, "Sym(444)", ["A",444, 1], "Sym"]];
9900PRIMGRP[445]:=
9901[[1, Factorial(445)/2,1,"2",[[444,1]],443, "Alt(445)", ["A",445, 1], "Alt"],
9902[2, Factorial(445),0,"2",[[444, 1]],445, "Sym(445)", ["A",445, 1], "Sym"]];
9903PRIMGRP[446]:=
9904[[1, Factorial(446)/2,1,"2",[[445,1]],444, "Alt(446)", ["A",446, 1], "Alt"],
9905[2, Factorial(446),0,"2",[[445, 1]],446, "Sym(446)", ["A",446, 1], "Sym"]];
9906PRIMGRP[447]:=
9907[[1, Factorial(447)/2,1,"2",[[446,1]],445, "Alt(447)", ["A",447, 1], "Alt"],
9908[2, Factorial(447),0,"2",[[446, 1]],447, "Sym(447)", ["A",447, 1], "Sym"]];
9909PRIMGRP[448]:=
9910[[1, Factorial(448)/2,1,"2",[[447,1]],446, "Alt(448)", ["A",448, 1], "Alt"],
9911[2, Factorial(448),0,"2",[[447, 1]],448, "Sym(448)", ["A",448, 1], "Sym"]];
9912PRIMGRP[449]:=
9913[[1, Factorial(449)/2,1,"2",[[448,1]],447, "Alt(449)", ["A",449, 1], "Alt"],
9914[2, Factorial(449),0,"2",[[448, 1]],449, "Sym(449)", ["A",449, 1], "Sym"],
9915[ 3, 449, 3, "1", [ [ 1, 448 ] ], 1, "C(449)", [ "Z", 449, 1 ], [  ] ],
9916[ 4, 898, 2, "1", [ [ 2, 224 ] ], 1, "D(2*449)", [ "Z", 449, 1 ],
9917  [ [ [ Z(449)^224 ] ] ] ],
9918[ 5, 1796, 2, "1", [ [ 4, 112 ] ], 1, "449:4", [ "Z", 449, 1 ],
9919  [ [ [ Z(449)^112 ] ] ] ],
9920[ 6, 3143, 2, "1", [ [ 7, 64 ] ], 1, "449:7", [ "Z", 449, 1 ],
9921  [ [ [ Z(449)^64 ] ] ] ],
9922[ 7, 3592, 2, "1", [ [ 8, 56 ] ], 1, "449:8", [ "Z", 449, 1 ],
9923  [ [ [ Z(449)^56 ] ] ] ],
9924[ 8, 6286, 2, "1", [ [ 14, 32 ] ], 1, "449:14", [ "Z", 449, 1 ],
9925  [ [ [ Z(449)^32 ] ] ] ],
9926[ 9, 7184, 2, "1", [ [ 16, 28 ] ], 1, "449:16", [ "Z", 449, 1 ],
9927  [ [ [ Z(449)^28 ] ] ] ],
9928[ 10, 12572, 2, "1", [ [ 28, 16 ] ], 1, "449:28", [ "Z", 449, 1 ],
9929  [ [ [ Z(449)^16 ] ] ] ],
9930[ 11, 14368, 2, "1", [ [ 32, 14 ] ], 1, "449:32", [ "Z", 449, 1 ],
9931  [ [ [ Z(449)^14 ] ] ] ],
9932[ 12, 25144, 2, "1", [ [ 56, 8 ] ], 1, "449:56", [ "Z", 449, 1 ],
9933  [ [ [ Z(449)^8 ] ] ] ],
9934[ 13, 28736, 2, "1", [ [ 64, 7 ] ], 1, "449:64", [ "Z", 449, 1 ],
9935  [ [ [ Z(449)^7 ] ] ] ],
9936[ 14, 50288, 2, "1", [ [ 112, 4 ] ], 1, "449:112", [ "Z", 449, 1 ],
9937  [ [ [ Z(449)^4 ] ] ] ],
9938[ 15, 100576, 2, "1", [ [ 224, 2 ] ], 1, "449:224", [ "Z", 449, 1 ],
9939  [ [ [ Z(449)^2 ] ] ] ],
9940[ 16, 201152, 2, "1", [ [ 448, 1 ] ], 2, "AGL(1, 449)", [ "Z", 449, 1 ],
9941  [ [ [ Z(449) ] ] ] ]];
9942PRIMGRP[450]:=
9943[[ 1, 45259200, 1, "2", [ [ 449, 1 ] ], 2, "PSL(2, 449)",
9944  [ "L", [ 2, 449 ], 1 ], "psl" ],
9945[ 2, 90518400, 0, "2", [ [ 449, 1 ] ], 3, "PGL(2, 449)",
9946  [ "L", [ 2, 449 ], 1 ], "pgl" ],
9947[3, Factorial(450)/2,1,"2",[[449,1]],448, "Alt(450)", ["A",450, 1], "Alt"],
9948[4, Factorial(450),0,"2",[[449, 1]],450, "Sym(450)", ["A",450, 1], "Sym"]];
9949