1PRIMGRP[451]:= 2[[1, Factorial(451)/2,1,"2",[[450,1]],449, "Alt(451)", ["A",451, 1], "Alt"], 3[2, Factorial(451),0,"2",[[450, 1]],451, "Sym(451)", ["A",451, 1], "Sym"]]; 4PRIMGRP[452]:= 5[[1, Factorial(452)/2,1,"2",[[451,1]],450, "Alt(452)", ["A",452, 1], "Alt"], 6[2, Factorial(452),0,"2",[[451, 1]],452, "Sym(452)", ["A",452, 1], "Sym"]]; 7PRIMGRP[453]:= 8[[1, Factorial(453)/2,1,"2",[[452,1]],451, "Alt(453)", ["A",453, 1], "Alt"], 9[2, Factorial(453),0,"2",[[452, 1]],453, "Sym(453)", ["A",453, 1], "Sym"]]; 10PRIMGRP[454]:= 11[[1, Factorial(454)/2,1,"2",[[453,1]],452, "Alt(454)", ["A",454, 1], "Alt"], 12[2, Factorial(454),0,"2",[[453, 1]],454, "Sym(454)", ["A",454, 1], "Sym"]]; 13PRIMGRP[455]:= 14[[ 1, 653837184000, 1, "2", [ [ 198, 1 ], [ 220, 1 ], [ 36, 1 ] ], 1, 15 "Alt(15)", [ "A", 15, 1 ], 16 [ ( 1, 2, 3, 5, 9, 16, 27, 43, 65, 94,131,177,233)( 4, 7, 13, 23, 38, 17 59, 87,123,168,223,289,366,300)( 6, 11, 20, 34, 54, 81,116,160,214, 18 279,355,234,301)( 8, 15, 26, 42, 64, 93,130,176,232,299,377,455,378) 19 ( 10, 18, 31, 50, 76,110,153,206,270,345,178,235,303)( 12, 22, 37, 58, 20 86,122,167,222,288,365,443,302,380)( 14, 25, 41, 63, 92,129,175,231, 21 298,376,454,444,379)( 17, 29, 47, 72,105,147,199,262,336,132,179,237, 22 306)( 19, 33, 53, 80,115,159,213,278,354,432,236,305,383) 23 ( 21, 36, 57, 85,121,166,221,287,364,442,367,445,381)( 24, 40, 62, 91, 24 128,174,230,297,375,453,433,304,382)( 28, 45, 69,101,142,193,255,328, 25 95,133,181,240,310)( 30, 49, 75,109,152,205,269,344,422,180,239,309, 26 387)( 32, 52, 79,114,158,212,277,353,431,290,368,446,384) 27 ( 35, 56, 84,120,165,220,286,363,441,356,434,307,385)( 39, 61, 90,127, 28 173,229,296,374,452,423,238,308,386)( 44, 67, 98,138,188,249,321, 66, 29 96,135,184,244,315)( 46, 71,104,146,198,261,335,413,134,183,243,314, 30 392)( 48, 74,108,151,204,268,343,421,224,291,369,447,388) 31 ( 51, 78,113,157,211,276,352,430,280,357,435,311,389)( 55, 83,119,164, 32 219,285,362,440,346,424,241,312,390)( 60, 89,126,172,228,295,373,451, 33 414,182,242,313,391)( 68,100,141,192,254,327,405, 97,137,187,248,320, 34 398)( 70,103,145,197,260,334,412,169,225,292,370,448,393) 35 ( 73,107,150,203,267,342,420,215,281,358,436,316,394)( 77,112,156,210, 36 275,351,429,271,347,425,245,317,395)( 82,118,163,218,284,361,439,337, 37 415,185,246,318,396)( 88,125,171,227,294,372,450,406,136,186,247,319, 38 397)( 99,140,191,253,326,404,124,170,226,293,371,449,399) 39 (102,144,196,259,333,411,161,216,282,359,437,322,400)(106,149,202,266, 40 341,419,207,272,348,426,250,323,401)(111,155,209,274,350,428,263,338, 41 416,189,251,324,402)(117,162,217,283,360,438,329,407,139,190,252,325, 42 403)(143,195,258,332,410,154,208,273,349,427,256,330,408) 43 (148,201,265,340,418,200,264,339,417,194,257,331,409), 44 ( 2, 4, 8)( 3, 6, 12)( 5, 10, 19)( 7, 14, 15)( 9, 17, 30) 45 ( 11, 21, 22)( 13, 24, 26)( 16, 28, 46)( 18, 32, 33)( 20, 35, 37) 46 ( 23, 39, 42)( 27, 44, 68)( 29, 48, 49)( 31, 51, 53)( 34, 55, 58) 47 ( 38, 60, 64)( 43, 66, 97)( 45, 70, 71)( 47, 73, 75)( 50, 77, 80) 48 ( 54, 82, 86)( 59, 88, 93)( 65, 95,134)( 67, 99,100)( 69,102,104) 49 ( 72,106,109)( 76,111,115)( 81,117,122)( 87,124,130)( 94,132,180) 50 ( 96,136,137)( 98,139,141)(101,143,146)(105,148,152)(110,154,159) 51 (116,161,167)(123,169,176)(131,178,236)(133,182,183)(135,185,187) 52 (138,189,192)(142,194,198)(147,200,205)(153,207,213)(160,215,222) 53 (168,224,232)(177,234,302)(179,238,239)(181,241,243)(184,245,248) 54 (188,250,254)(193,256,261)(199,263,269)(206,271,278)(214,280,288) 55 (223,290,299)(233,300,378)(235,304,305)(237,307,309)(240,311,314) 56 (244,316,320)(249,322,327)(255,329,335)(262,337,344)(270,346,354) 57 (279,356,365)(289,367,377)(301,379,380)(303,381,383)(306,384,387) 58 (310,388,392)(315,393,398)(321,399,405)(328,406,413)(336,414,422) 59 (345,423,432)(355,433,443)(366,444,455) ] ], 60[ 2, 1307674368000, 0, "2", [ [ 198, 1 ], [ 220, 1 ], [ 36, 1 ] ], 1, 61 "Sym(15)", [ "A", 15, 1 ], 62 [ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57) 63 ( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 59, 67, 76) 64 ( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 60, 69, 78, 88,100) 65 ( 16, 20, 24, 29, 34, 40, 46, 53, 61, 70, 80, 90,102,116,131) 66 ( 25, 30, 35, 41, 47, 54, 62, 71, 81, 92,104,118,134,152,173) 67 ( 36, 42, 48, 55, 63, 72, 82, 93,106,120,136,155,176,198,219) 68 ( 49, 56, 64, 73, 83, 94,107,122,138,157,179,201,223,246,270) 69 ( 58, 66, 75, 86, 97,111,126,144,164,187,208,231,256,281,186) 70 ( 65, 74, 84, 95,108,123,140,159,181,204,226,250,274,299,324) 71 ( 68, 77, 87, 98,112,127,145,165,188,209,232,257,282,307,333) 72 ( 79, 89,101,114,128,146,166,189,210,233,258,283,308,334,359) 73 ( 85, 96,109,124,141,161,183,206,229,253,278,303,329,353,377) 74 ( 91,103,117,132,150,167,190,211,234,259,284,309,335,360,384) 75 ( 99,113,129,147,168,191,213,236,262,287,313,339,143,163,185) 76 (105,119,135,153,174,195,212,235,260,285,310,336,361,385,408) 77 (110,125,142,162,149,170,194,216,240,266,292,318,345,370,395) 78 (115,130,148,169,192,214,237,263,288,314,340,365,389,358,382) 79 (121,137,156,177,199,220,243,261,286,311,337,362,386,409,397) 80 (133,151,171,193,215,238,264,289,315,341,366,390,414,383,406) 81 (139,158,180,202,224,247,271,295,312,338,363,387,410,428,320) 82 (154,175,196,217,239,265,290,316,342,367,391,415,432,407,426) 83 (160,182,205,227,251,275,300,325,349,364,388,411,429,443,242) 84 (172,184,207,230,254,279,304,330,354,378,401,412,413,430,444) 85 (178,200,221,244,267,291,317,343,368,392,416,433,421,427,442) 86 (197,218,241,255,280,305,331,355,379,402,422,436,431,445,451) 87 (203,225,248,272,296,321,344,369,393,417,434,447,348,372,396) 88 (222,245,268,293,306,332,356,380,403,423,438,441,446,452,455) 89 (228,252,276,301,326,350,373,394,418,435,448,453,269,294,319) 90 (249,273,297,322,346,357,381,404,424,439,449,376,400,420,437) 91 (277,302,327,351,374,398,405,425,440,450,454,298,323,347,371) 92 (328,352,375,399,419), ( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36) 93 ( 42, 49)( 50, 58)( 56, 65)( 59, 68)( 66, 76)( 69, 79)( 74, 85) 94 ( 77, 88)( 80, 91)( 86, 98)( 87, 99)( 89,102)( 92,105)( 96,110) 95 (101,115)(103,118)(106,121)(112,128)(117,133)(119,136)(122,139) 96 (125,143)(129,148)(130,149)(135,154)(137,157)(140,160)(146,167) 97 (151,172)(156,178)(158,181)(161,184)(163,186)(169,193)(175,197) 98 (180,203)(182,206)(190,212)(194,207)(200,222)(205,228)(215,239) 99 (218,242)(225,249)(230,255)(235,261)(245,269)(252,277)(265,291) 100 (273,298)(280,306)(286,312)(294,320)(302,328)(317,344)(323,348) 101 (332,357)(333,358)(338,364)(352,376)(359,383)(369,394)(372,397) 102 (381,405)(384,407)(388,412)(389,413)(400,421)(408,427)(414,431) 103 (418,436)(425,441)(432,446) ] ], 104[3, Factorial(455)/2,1,"2",[[454,1]],453, "Alt(455)", ["A",455, 1], "Alt"], 105[4, Factorial(455),0,"2",[[454, 1]],455, "Sym(455)", ["A",455, 1], "Sym"]]; 106PRIMGRP[456]:= 107[[ 1, 3753792, 0, "2", [ [ 343, 1 ], [ 14, 1 ], [ 98, 1 ] ], 1, "PSL(3, 7).2", 108 [ "L", [ 3, 7 ], 1 ], 109 [ ( 1, 5)( 2, 10)( 3, 22)( 4, 35)( 6, 58)( 7, 66)( 8, 76)( 9, 88) 110 ( 11, 26)( 12,113)( 13,124)( 14,135)( 15,143)( 16,149)( 17,158) 111 ( 18,166)( 19,174)( 20, 52)( 21,189)( 23,207)( 24,211)( 25,223) 112 ( 27, 82)( 28, 34)( 29,228)( 30,250)( 31,109)( 32,258)( 33,151) 113 ( 36,287)( 37, 95)( 38,133)( 39,172)( 40,308)( 41, 84)( 42,317) 114 ( 44,217)( 45, 63)( 46, 79)( 47,329)( 48,334)( 49,321)( 50,295) 115 ( 51,344)( 53,195)( 54,310)( 55,342)( 56,354)( 57,244)( 59,204) 116 ( 61, 97)( 62,341)( 65,350)( 67,311)( 68,270)( 69,136)( 70,378) 117 ( 71,173)( 72,145)( 73,388)( 74,351)( 75,391)( 77,106)( 78,361) 118 ( 80,227)( 81,366)( 83,280)( 85,412)( 86,306)( 87,289)( 89,402) 119 ( 90,117)( 91,419)( 92,421)( 93,307)( 94,414)( 96,262)( 98,216) 120 ( 99,229)(100,428)(101,367)(102,429)(103,382)(104,413)(105,141) 121 (107,247)(108,383)(110,213)(111,138)(112,157)(114,432)(115,156) 122 (116,326)(118,348)(119,221)(120,196)(121,267)(122,328)(123,215) 123 (125,440)(126,155)(127,426)(128,209)(129,343)(130,357)(131,279) 124 (132,422)(134,380)(137,241)(139,387)(140,260)(142,182)(144,386) 125 (146,201)(147,408)(148,305)(150,298)(152,352)(153,406)(154,277) 126 (159,335)(160,356)(161,333)(162,403)(163,243)(164,390)(165,170) 127 (167,355)(168,312)(171,427)(175,381)(176,225)(177,327)(178,416) 128 (179,284)(180,435)(181,446)(183,445)(184,198)(185,454)(186,187) 129 (188,411)(190,249)(191,396)(192,395)(193,286)(197,220)(199,399) 130 (200,456)(202,303)(203,368)(205,420)(206,384)(208,226)(210,218) 131 (212,325)(214,398)(219,444)(222,371)(224,434)(230,347)(231,451) 132 (232,336)(233,332)(234,291)(235,273)(236,275)(237,443)(238,385) 133 (239,450)(240,261)(242,346)(245,316)(246,339)(248,453)(251,263) 134 (252,441)(253,455)(254,259)(255,340)(256,372)(257,407)(264,288) 135 (265,439)(266,272)(268,330)(269,345)(271,281)(274,278)(276,409) 136 (282,405)(283,401)(290,365)(293,331)(294,349)(296,424)(297,448) 137 (299,400)(300,358)(301,369)(302,364)(304,389)(309,394)(313,415) 138 (314,318)(315,320)(319,397)(322,404)(323,324)(337,360)(338,379) 139 (353,370)(359,447)(362,410)(363,430)(373,393)(374,433)(375,436) 140 (376,449)(377,431)(417,452)(418,438)(423,442)(425,437), 141 ( 2,137,380,426, 94,425)( 3,305,454,180,267,443)( 4, 25,389,196,114, 142 215)( 5,266, 51, 22,262,263)( 6, 61, 60, 62, 59,367) 143 ( 7,122,424,131,329,189)( 8, 29,271,226,197,352)( 9,159,382,217, 144 119,279)( 10, 53,336, 32, 58, 52)( 11,109,107)( 12,175,431,111,136, 145 363)( 13,156,121)( 14,278,369)( 15, 17,371,306,146,418) 146 ( 16,358,379,164,247,229)( 18, 28, 40,449,437,269)( 19,132, 57,356, 147 400,448)( 20, 38,374,153,219,120)( 21,297,239, 55,224,401) 148 ( 23,396, 35,397,427,285)( 24,366,412, 98,205,221)( 26,276,385,227, 149 268,384)( 27, 34,290, 93,228,420)( 30,343,440, 56,218,453) 150 ( 31,357,273,337,327,310)( 33,399,208, 68,289,414)( 36,142, 73,240, 151 88, 85)( 37,235,338,317, 74, 84)( 39,375,293,292, 81,186) 152 ( 41,192,402,145,332,314)( 42,303, 95,315, 91,429)( 44,195,214,250, 153 359, 66)( 45, 54, 50,202,330, 99)( 46,287,373,340,248,339) 154 ( 47, 76,243,393,331,394)( 48, 49,147)( 64,423,324,182,302,298) 155 ( 65,299,194,407,252,220)( 67,360,230,177,141,334)( 69,377,381,138, 156 113,161)( 70,150,291,256,368,316)( 71,144,133,162,104,438) 157 ( 72,320,409,321,419,411)( 75,362,309,444,372,178)( 77,105,108,188, 158 421,311)( 78,125,174,410,398,165)( 79,151,123,378,168,455) 159 ( 80,238,318,130,404,452)( 82,413,246,275,139,200)( 83,253,179,428, 160 450, 86)( 87,249,323,456,259,204)( 89,288,206,300,383, 92) 161 ( 90,277,163,191,255,244)( 96,346,274,193,313,415)( 97,353,342,261, 162 265,173)(100,345,341,201,350,335)(101,349,203,354,260,446) 163 (102,106,355)(103,199,403,181,160,154)(110,124,213,451,212,183) 164 (112,422,134,258,236,172)(115,435,325,344,185,286)(116,170,376,416, 165 370,241)(117,143,216,198,392,232)(118,347,295,176,417,167) 166 (126,231,445,272,301,242)(127,129,128,257,140,319)(135,251,148,155, 167 169,237)(149,225,348,408,390,233)(152,294,158,157,388,223) 168 (166,434,234,307,282,328)(171,361,405,222,254,270)(184,296,326,304, 169 190,387)(187,386,245,441,312,439)(207,281,364,280,365,447) 170 (209,391,433,211,283,284)(210,406,308,442,432,436)(264,351,322), 171 ( 1, 2, 7)( 3, 19,172)( 4, 32,256)( 5, 44,203)( 6, 55, 81) 172 ( 8, 73,250)( 9, 85,293)( 10, 97,185)( 11,102,395)( 12,111,363) 173 ( 13,122,128)( 14,133,324)( 15,140, 47)( 16,147,188)( 17,156,371) 174 ( 18,165,447)( 20,180,184)( 21, 53,283)( 22,198,228)( 23,148,174) 175 ( 24,214,434)( 25, 28,240)( 26,229,176)( 27,234,236)( 29,169,222) 176 ( 30,249,341)( 31,118,314)( 33, 96,328)( 34,244,336)( 35,265,277) 177 ( 36,286,370)( 37, 74, 92)( 38,297,262)( 39,301,456)( 40,173,340) 178 ( 41,311,164)( 42,315,192)( 45,320, 50)( 46,241,291)( 48,332,385) 179 ( 49,337,273)( 51, 60,368)( 52,346,450)( 54,130,230)( 56,114,155) 180 ( 57,312,220)( 58,364,350)( 59,204,248)( 61,344,271)( 62, 65,372) 181 ( 63,295,145)( 64, 76,306)( 66,213,345)( 67, 99, 72)( 68,279,280) 182 ( 69,113,381)( 70,289,359)( 71,137,127)( 75,158,435)( 77,357,268) 183 ( 78,226,253)( 79,208,170)( 80,404,177)( 82,117,187)( 83,406,150) 184 ( 84,409,149)( 86,258,299)( 87,143,254)( 88,285,132)( 89,202,452) 185 ( 90,414,252)( 91,417,310)( 93,210,160)( 94,424,418)( 95,108,322) 186 ( 98,305,436)(100,126,420)(101,412,342)(103,135,191)(104,131,394) 187 (105,327,429)(107,109,355)(110,199,287)(112,437,266)(115,245,207) 188 (116,232,397)(119,401,294)(120,260,427)(121,393,144)(123,178,313) 189 (124,157,428)(125,231,399)(129,331,426)(134,292,261)(138,377,161) 190 (139,325,205)(141,235,419)(142,432,445)(146,298,380)(151,212,353) 191 (152,343,166)(153,398,223)(154,195,356)(159,221,171)(162,438,189) 192 (163,443,217)(167,276,421)(168,211,270)(175,333,431)(179,259,366) 193 (181,224,413)(182,243,278)(183,407,216)(186,441,455)(190,255,367) 194 (193,396,323)(194,272,354)(196,392,304)(197,201,326)(200,209,242) 195 (206,348,238)(215,382,451)(218,365,400)(219,335,378)(225,411,321) 196 (227,347,264)(233,408,318)(237,375,282)(239,448,415)(246,307,296) 197 (247,402,379)(251,316,386)(257,425,369)(263,281,405)(267,391,416) 198 (269,387,274)(275,410,339)(284,422,352)(288,330,300)(290,376,388) 199 (302,329,423)(303,351,358)(308,449,362)(309,446,453)(317,383,390) 200 (334,338,360)(349,433,389)(361,403,444)(373,440,454)(374,439,442), 201 ( 2,189,380,122, 94,131)( 3,158,454,388,267,152)( 4,168,389, 79,114, 202 123)( 5, 87, 51,323,262,259)( 6, 61, 60, 62, 59,367) 203 ( 7,426,424,425,329,137)( 8,299,271,407,197,220)( 9,370,382,116, 204 119,376)( 10,261,336,173, 58,353)( 11,355,107,106,109,102) 205 ( 12,136,431)( 13,369,121,278,156, 14)( 15,298,371,423,146,182) 206 ( 16, 26,379,385,247,268)( 17, 64,306,324,418,302)( 18,274, 40,313, 207 437, 96)( 19,410, 57,165,400,125)( 20,218,374, 30,219,440) 208 ( 21, 46,239,373,224,248)( 22,456,263,204,266,249)( 23,280, 35,447, 209 427,281)( 24,290,412,228,205, 27)( 25,455,196,151,215,378) 210 ( 28,193,449,415,269,346)( 29,194,226,252,352, 65)( 31,315,273,429, 211 327,303)( 32, 97, 52,342, 53,265)( 33, 36,208, 73,289, 88) 212 ( 34,366, 93, 98,420,221)( 37,149,338,348, 74,390)( 38,453,153,343, 213 120, 56)( 39,256,293,316, 81,150)( 41,295,402,417,332,118) 214 ( 42,310, 95,357, 91,337)( 44,272,214,242,359,231)( 45, 54, 50,202, 215 330, 99)( 47,331,243)( 48,264,147,322, 49,351)( 55,340,401,339,297, 216 287)( 66,445,195,301,250,126)( 67, 80,230,318,141,404) 217 ( 68,240,414, 85,399,142)( 69,377,381,138,113,161)( 70,186,291,375, 218 368,292)( 71,319,133,129,104,257)( 72, 92,409,288,419,300) 219 ( 75,304,309,387,372,296)( 76,394,393)( 77,421,108)( 78,448,174,132, 220 398,356)( 82,154,246,199,139,181)( 83,422,179,258,450,172) 221 ( 84,233,235,225,317,408)( 86,112,253,134,428,236)( 89,321,206,411, 222 383,320)( 90,325,163,185,255,115)(100,446,341,349,350,354) 223 (101,201,203,335,260,345)(103,275,403,200,160,413)(105,311,188) 224 (110,211,213,284,212,391)(111,175,363)(117,171,216,405,392,254) 225 (124,283,451,209,183,433)(127,162,128,438,140,144)(130,334,452,360, 226 238,177)(135,439,148,386,169,441)(143,361,198,222,232,270) 227 (145,167,314,347,192,176)(155,245,237,312,251,187)(157,180,223,443, 228 294,305)(159,241,217,170,279,416)(164,227,229,384,358,276) 229 (166,308,234,432,282,210)(178,326,362,190,444,184)(191,286,244,435, 230 277,344)(207,285,364,396,365,397)(307,436,328,406,434,442), 231 ( 1, 21,226)( 2,431,322)( 3, 8, 64)( 4,148,382)( 5,429,195) 232 ( 6,150,122)( 7,233,110)( 9,338, 67)( 10,387,288)( 11,337,351) 233 ( 12,400,190)( 13,265,447)( 14,107,371)( 15,227, 49)( 16,218,366) 234 ( 17,119,149)( 18,182, 57)( 19,355,231)( 20,173,391)( 22,367,323) 235 ( 23,410,199)( 24,344,175)( 25,395,219)( 26,316, 45)( 27,345,172) 236 ( 28,151,327)( 29,433,421)( 30,381,399)( 31,286, 97)( 32, 79,242) 237 ( 33,257,290)( 34,164,212)( 35, 51, 80)( 36,235,153)( 37,308,271) 238 ( 38,417,254)( 39, 41,450)( 40,103,169)( 42,225,452)( 43,132,368) 239 ( 44,138,390)( 46,352, 52)( 47, 89,428)( 48,104,188)( 50,284, 81) 240 ( 54,440,177)( 55,136,389)( 56,329,260)( 58, 77,409)( 59,407,244) 241 ( 60,167,339)( 61,296,186)( 62,115,178)( 63,426,332)( 65,111,215) 242 ( 66,303,373)( 68,133,174)( 69,443,320)( 70,269,201)( 71,418,380) 243 ( 72,273,359)( 73, 92, 84)( 74,386,137)( 75,131,187)( 76,272,222) 244 ( 78,405,210)( 82,424,375)( 83,129,246)( 85,275, 94)( 86, 87,321) 245 ( 88,448,236)( 90,263,117)( 91,230,126)( 93,152,155)( 95,264,144) 246 ( 96,397, 99)( 98,204,363)(100,221,106)(101,192,343)(102,208,114) 247 (105,289,134)(108,207,340)(109,223,356)(112,379,361)(113,439,364) 248 (116,415,125)(118,454,198)(120,342,168)(121,416,171)(123,422,211) 249 (124,130,268)(127,224,408)(128,456,250)(135,166,146)(139,378,357) 250 (140,328,141)(142,240,309)(143,176,334)(145,411,281)(147,306,358) 251 (154,165,445)(156,374,312)(157,179,398)(158,401,251)(159,293,279) 252 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319,460,363)(171,383,186,437,320,390,347,211,461,434) 924 (193,255,337,294,281)(207,264,299,310,380), 925 ( 1, 73, 57,432,268,250)( 2,132,100,348, 68,232)( 3,243, 85,453, 77, 926 288)( 4,292,215, 70,153,269)( 5,321, 41, 69,333,137) 927 ( 6, 84,131, 63,334,443)( 7,359,125, 27, 49,277)( 8,207,189,448, 928 203,302)( 9,424,279,376,296,337)( 10,239,122, 98,420,419) 929 ( 11,342,366,138,280,381)( 12,190,345, 93,407,358)( 13,322, 89,275, 930 186,343)( 14,267,270,130,271,256)( 15,300,429,185,135,134) 931 ( 16,181,168,166,178,139)( 17,421, 30,247,328,329)( 18,276,119,195, 932 177, 35)( 19, 88, 72, 61,326,104)( 20,199,191,233, 99,324) 933 ( 21,336,272,116,456,411)( 22,147, 32,409,142,405)( 23, 67,418,228, 934 90,171)( 24,416,149,179, 96,230)( 25,309,157,319,159,396) 935 ( 26,237,236,351, 79,198)( 28,349,375,399,214,387)( 29,281,240) 936 ( 31,180,113,372,143,428)( 33,378,251,110,347, 95)( 34, 47) 937 ( 36,124,312,154,252,414)( 37,261,242,102,356,341)( 38,305, 39,362, 938 123,128)( 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91,101,111,122,133,145,157,170,183,197,211,226,241)( 4, 6, 8, 11, 996 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134, 997 146,158,171,184,198,212,227,242,258,257)( 9, 12, 15, 19, 23, 28, 33, 998 39, 45, 52, 59, 67, 75, 84, 93,103,113,124,135,147,159,172,185,199, 999 213,228,243,259,274,273,289)( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 1000 76, 85, 94,104,114,125,136,148,160,173,186,200,214,229,244,260,275, 1001 291,290,305,321)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115, 1002 126,137,149,161,174,187,201,215,230,245,261,276,292,307,306,322,337, 1003 353)( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,138,150,162,175, 1004 188,202,216,231,246,262,277,293,308,324,323,338,354,369,385) 1005 ( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,189,203,217, 1006 232,247,263,278,294,309,325,340,339,355,370,386,401,414) 1007 ( 64, 72, 80, 89, 98,108,118,129,140,152,164,177,190,204,218,233,248, 1008 264,279,295,310,326,341,357,356,371,387,402,415,426,436) 1009 ( 81, 90, 99,109,119,130,141,153,165,178,191,205,219,234,249,265,280, 1010 296,311,327,342,358,373,372,388,403,416,427,437,445,452) 1011 (100,110,120,131,142,154,166,179,192,206,220,235,250,266,281,297,312, 1012 328,343,359,374,390,389,404,417,428,438,446,453,458,462) 1013 (121,132,143,155,167,180,193,207,221,236,251,267,282,298,313,329,344, 1014 360,375,391,384,400,413,425,435,444,451,457,461,464,465) 1015 (144,156,168,181,194,208,222,237,252,268,283,299,314,330,345,361,376, 1016 392,405,352,368,383,399,412,424,434,443,450,456,460,463) 1017 (169,182,195,209,223,238,253,269,284,300,315,331,346,362,377,393,406, 1018 418,320,336,351,367,382,398,411,423,433,442,449,455,459) 1019 (196,210,224,239,254,270,285,301,316,332,347,363,378,394,407,419,429, 1020 288,304,319,335,350,366,381,397,410,422,432,441,448,454) 1021 (225,240,255,271,286,302,317,333,348,364,379,395,408,420,430,439,256, 1022 272,287,303,318,334,349,365,380,396,409,421,431,440,447), 1023 ( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81) 1024 ( 90,100)(110,121)(132,144)(156,169)(182,196)(210,225)(240,256) 1025 (241,257)(258,273)(272,288)(274,290)(291,306)(304,320)(307,323) 1026 (324,339)(336,352)(340,356)(357,372)(368,384)(373,389)(390,400) ] ], 1027[6, Factorial(465)/2,1,"2",[[464,1]],463, "Alt(465)", ["A",465, 1], "Alt"], 1028[7, Factorial(465),0,"2",[[464, 1]],465, "Sym(465)", ["A",465, 1], "Sym"]]; 1029PRIMGRP[466]:= 1030[[1, Factorial(466)/2,1,"2",[[465,1]],464, "Alt(466)", ["A",466, 1], "Alt"], 1031[2, Factorial(466),0,"2",[[465, 1]],466, "Sym(466)", ["A",466, 1], "Sym"]]; 1032PRIMGRP[467]:= 1033[[1, Factorial(467)/2,1,"2",[[466,1]],465, "Alt(467)", ["A",467, 1], "Alt"], 1034[2, Factorial(467),0,"2",[[466, 1]],467, "Sym(467)", ["A",467, 1], "Sym"], 1035[ 3, 467, 3, "1", [ [ 1, 466 ] ], 1, "C(467)", [ "Z", 467, 1 ], [ ] ], 1036[ 4, 934, 2, "1", [ [ 2, 233 ] ], 1, "D(2*467)", [ "Z", 467, 1 ], 1037 [ [ [ Z(467)^233 ] ] ] ], 1038[ 5, 108811, 2, "1", [ [ 233, 2 ] ], 1, "467:233", [ "Z", 467, 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Factorial(477)/2,1,"2",[[476,1]],475, "Alt(477)", ["A",477, 1], "Alt"], 1075[2, Factorial(477),0,"2",[[476, 1]],477, "Sym(477)", ["A",477, 1], "Sym"]]; 1076PRIMGRP[478]:= 1077[[1, Factorial(478)/2,1,"2",[[477,1]],476, "Alt(478)", ["A",478, 1], "Alt"], 1078[2, Factorial(478),0,"2",[[477, 1]],478, "Sym(478)", ["A",478, 1], "Sym"]]; 1079PRIMGRP[479]:= 1080[[1, Factorial(479)/2,1,"2",[[478,1]],477, "Alt(479)", ["A",479, 1], "Alt"], 1081[2, Factorial(479),0,"2",[[478, 1]],479, "Sym(479)", ["A",479, 1], "Sym"], 1082[ 3, 479, 3, "1", [ [ 1, 478 ] ], 1, "C(479)", [ "Z", 479, 1 ], [ ] ], 1083[ 4, 958, 2, "1", [ [ 2, 239 ] ], 1, "D(2*479)", [ "Z", 479, 1 ], 1084 [ [ [ Z(479)^239 ] ] ] ], 1085[ 5, 114481, 2, "1", [ [ 239, 2 ] ], 1, "479:239", [ "Z", 479, 1 ], 1086 [ [ [ Z(479)^2 ] ] ] ], 1087[ 6, 228962, 2, "1", [ [ 478, 1 ] ], 2, "AGL(1, 479)", [ "Z", 479, 1 ], 1088 [ [ [ Z(479) ] ] ] ]]; 1089PRIMGRP[480]:= 1090[[ 1, 54950880, 1, "2", [ [ 479, 1 ] ], 2, "PSL(2, 479)", 1091 [ "L", [ 2, 479 ], 1 ], "psl" ], 1092[ 2, 109901760, 0, "2", [ [ 479, 1 ] ], 3, "PGL(2, 479)", 1093 [ "L", [ 2, 479 ], 1 ], "pgl" ], 1094[3, Factorial(480)/2,1,"2",[[479,1]],478, "Alt(480)", ["A",480, 1], "Alt"], 1095[4, Factorial(480),0,"2",[[479, 1]],480, "Sym(480)", ["A",480, 1], "Sym"]]; 1096PRIMGRP[481]:= 1097[[1, Factorial(481)/2,1,"2",[[480,1]],479, "Alt(481)", ["A",481, 1], "Alt"], 1098[2, Factorial(481),0,"2",[[480, 1]],481, "Sym(481)", ["A",481, 1], "Sym"]]; 1099PRIMGRP[482]:= 1100[[1, Factorial(482)/2,1,"2",[[481,1]],480, "Alt(482)", ["A",482, 1], "Alt"], 1101[2, Factorial(482),0,"2",[[481, 1]],482, "Sym(482)", ["A",482, 1], "Sym"]]; 1102PRIMGRP[483]:= 1103[[1, Factorial(483)/2,1,"2",[[482,1]],481, "Alt(483)", ["A",483, 1], "Alt"], 1104[2, Factorial(483),0,"2",[[482, 1]],483, "Sym(483)", ["A",483, 1], "Sym"]]; 1105PRIMGRP[484]:= 1106[[ 1, 393419980800, 0, "4c", [ [ 441, 1 ], [ 42, 1 ] ], 1, 1107 "M_22 wreath Sym(2)", [ "Spor", "M(22)", 2 ], 1108 [ ( 1,356, 85,478,159,119,178,220,100,402,250, 65,271,443)( 2,202, 78,412, 1109 162, 53,183,462, 89,358,261,483,269,113)( 3, 4, 70, 82,170,163,185, 1110 198,110, 94,248,263,285,267)( 5,114, 68,214,166,405,184, 66, 95,446, 1111 243,373,283,465)( 6,246, 87,280,157, 9,180, 88,104,160,251,197,286, 1112 91)( 7,444, 67,368,173,471,181,132, 90,204,254,417,272, 47) 1113 ( 8, 48, 73,456,155,361,195,484, 93,116,244,219,276,399) 1114 ( 10,422, 81,148,171,339,194,330, 99, 28,255,395,284,289) 1115 ( 11, 26, 79,390,174,295,186,440,103,138,259,351,282,311) 1116 ( 12,400, 74, 60,161,449,177,374,107,468,247,131,266,201) 1117 ( 13,378, 86,302,164,427,191,154,105,336,260,329,275, 25) 1118 ( 14,224, 80,236,168,229,190,242,102,226,256,241,278,223) 1119 ( 15,136, 83,346,172,317,187, 44,101,380,262,307,274,421) 1120 ( 16,158, 75,192,176, 97,182,264,109,270,245, 21,268, 69) 1121 ( 17,334, 84,324,165, 31,189,396,108,292,252,439,279,135) 1122 ( 18,312, 77, 38,167,383,196,308, 98,424,257,153,281,333) 1123 ( 19,466, 71,126,156,207,188,418, 96, 50,249,461,265,355) 1124 ( 20,290, 76,434,169,141,193,352,106,314,253, 43,277,377) 1125 ( 22, 92, 72,258,175,273,179)( 23,365,393,482,291,120,420,213,144,413, 1126 338, 62,315,451)( 24,211,386,416,294, 54,425,455,133,369,349,480,313, 1127 121)( 27,123,376,218,298,406,426, 59,139,457,331,370,327,473) 1128 ( 29,453,375,372,305,472,423,125,134,215,342,414,316, 55) 1129 ( 30, 57,381,460,287,362,437,477,137,127,332,216,320,407) 1130 ( 32,431,389,152,303,340,436,323,143, 39,343,392,328,297) 1131 ( 33, 35,387,394,306,296,428,433,147,149,347,348,326,319) 1132 ( 34,409,382, 64,293,450,419,367,151,479,335,128,310,209) 1133 ( 36,233,388,240,300,230,432,235,146,237,344,238,322,231) 1134 ( 37,145,391,350,304,318,429)( 40,321,385, 42,299,384,438,301,142,435, 1135 345,150,325,341)( 41,475,379,130,288,208,430,411,140, 61,337,458,309, 1136 363)( 45,359,459,463,357,129,464,203,122,398,206, 56,403,448) 1137 ( 46,205,452,397,360, 63,469,445,111,354,217,474,401,118) 1138 ( 49,117,442,199,364,415,470)( 51,447,441,353,371,481,467,115,112,200, 1139 210,408,404, 52)( 58,227,454,221,366,239,476,225,124,222,212,232,410, 1140 228), ( 1,372,295,195,484,104,158, 77, 36,223)( 2,218,294, 63,480, 1141 324,169,143, 27,113)( 3, 20,306,305,481,478,170,165, 33, 25) 1142 ( 4, 86,300,239,463,368,163,187, 44, 91)( 5,130,288,217,470, 60,172, 1143 319, 37,135)( 6,262,298,415,469,456,171,341, 43,267) 1144 ( 7,460,303,349,483,280,160,253, 34,399)( 8, 64,304,327,477,148,159, 1145 121, 24,201)( 9,196,308,107,466, 82,168,231, 23,355) 1146 ( 10,438,296,437,472,434,164,429, 32,421)( 11, 42,289, 19,482,302,173, 1147 473, 38,157)( 12,416,293,459,479,346,175,275, 28,245) 1148 ( 13,394,299,393,475,390,167,385, 35,377)( 14,240,287,371,471,192,176, 1149 99, 26, 69)( 15,152,291,129,464,214,162, 55, 40,311)( 16,174,297, 41, 1150 465)( 17,350,307,283,468,258,166,407, 29,443)( 18,328,301,151,467, 1151 126,156,209, 30, 47)( 21,284,292,261,474,412,161,451, 39,333) 1152 ( 22,108,290, 85,476,236,155,363, 31,179)( 45,370,317,191,154, 93,114, 1153 68,212,228)( 46,216,316, 59,150,313,125,134,203,118)( 48, 84,322,235, 1154 133,357,119,178,220, 96)( 49,128,310,213,140)( 50,260,320,411,139, 1155 445,127,332,219,272)( 51,458,325,345,153,269,116,244,210,404) 1156 ( 52, 62,326,323,147,137,115,112,200,206)( 53,194,330,103,136, 71,124, 1157 222,199,360)( 54,436,318,433,142,423,120,420,208,426) 1158 ( 56,414,315,455,149,335,131,266,204,250)( 57,392,321,389,145,379,123, 1159 376,211,382)( 58,238,309,367,141,181,132, 90,202, 74) 1160 ( 61,348,329,279,138,247,122,398,205,448)( 65,282,314,257,144,401,117, 1161 442,215,338)( 66,106,312, 81,146,225,111,354,207,184) 1162 ( 67,366,229,177,374, 97,180, 88,102,224)( 70, 80,234,221,353,361,185, 1163 198,110, 92)( 72,256,232,397,359,449,193,352,109,268) 1164 ( 73,454,237,331,373,273,182,264,100,400)( 75,190,242, 89,356) 1165 ( 76,432,230,419,362,427,186,440, 98,422)( 78,410,227,441,369,339,197, 1166 286, 94,246)( 79,388,233,375,365,383,189,396,101,378) 1167 ( 83,344,241,265,358,251,188,418, 95,444)( 87,278,226,243,364,405,183, 1168 462,105,334)(248,254,408,403,447,457,347,351,285,270) 1169 (249,452,413,337,461,281,336,263,276,402)(252,430,406,425,450,435,340, 1170 439,274,424)(255,386,409,381,453,391,343,395,277,380) 1171 (259,342,417,271,446)(384,431) ] ], 1172[ 2, 786839961600, 0, "4c", [ [ 441, 1 ], [ 42, 1 ] ], 1, "M_22^2.2^2", 1173 [ "Spor", "M(22)", 2 ], 1174 [ ( 1,374,448,240,336,210, 87,428,317, 57,106,385,479,179,258,398) 1175 ( 2, 22,462,460,350,342, 78, 76,318,321,101, 99,473,465,245,244) 1176 ( 3,264,442, 20,352,452, 86,340,320, 79, 98,319,475, 91,253,464) 1177 ( 4,176,459, 42,344,144, 73,274,312,167,107, 33,476,135,249,266) 1178 ( 5,132,455,306,335,122, 81,296,313,123,103,297,467,113,257,288) 1179 ( 6,220,461,438,339, 56, 84,384,325,189,104,407,463,355,250,222) 1180 ( 7,286,444,174,349, 34, 80,142,315,277, 92,165,481, 25,256,134) 1181 ( 8,242,446,218,351,430, 75, 54,326,387,105,187,478,399,243,354) 1182 ( 9, 66,458,394,347,188, 82,406,309,365, 96,231,468,201,263,420) 1183 ( 10,330,453,108,341,474, 69,252,310, 13,110,451,482,333,254, 68) 1184 ( 11,484,443,262,332, 12, 88,450,328,343,100, 77,472,311,255, 90) 1185 ( 14,154,447,284,334,166, 85, 32,322,145, 95,275,466,157,261, 24) 1186 ( 15,308,445,130,345,298, 71,120,323,299, 93,121,477,289,247,112) 1187 ( 16,418,441,372,338,232, 72,208,329,431, 97, 55,480,377,259,178) 1188 ( 17,198,456,416,331,364, 74,230,314,211,109,429,471, 47,260,376) 1189 ( 18,396,457,196,346,408, 67,362,316,233, 94,209,483,421,251, 46) 1190 ( 19, 44,454,152,337,276, 70,164,327, 35,102,143,469,267,246,156) 1191 ( 21,440,449, 64,348,386, 83,186,324,409, 89,363,470,223,248,200) 1192 ( 23,366,140,227,270,202,175,437, 31, 58,150,381,281,180,170,415) 1193 ( 26,168,151, 29,278,136,161,283)( 27,124,147,293,269,114,169,305) 1194 ( 28,212,153,425,273, 48,172,393, 39,190,148,403,265,356,162,239) 1195 ( 30,234,138,205,285,422,163, 63, 40,388,149,183,280,400,155,371) 1196 ( 36,146,139,271,268,158,173, 41)( 37,300,137,117,279,290,159,129) 1197 ( 38,410,133,359,272,224,160,217, 43,432,141, 51,282,378,171,195) 1198 ( 45,370,382,237,182,214,417,419,361, 52,238,380,215,197,434,405) 1199 ( 49,128,389,303,181,126,411,287,357,118,235,292,203,131,433,295) 1200 ( 50,216,395,435,185, 60,414,375,369,184,236,402,199,373,426,229) 1201 ( 53, 62,392,391,193,192,412,397,353,360,228,226,204,219,439,427) 1202 ( 59,304,379,127,191,302,401,111,367,294,225,116,213,307,423,119) 1203 ( 61,194,390,413,177,368,404,221,358,206,241,424,207, 65,436,383) 1204 (115,125,301,291), ( 1,183,269,334, 3,293,279, 48)( 2,469,278,444, 1205 18, 73,283,114)( 4, 7,271,268)( 5,337,267,290, 15, 51,265,180) 1206 ( 6,425,285,312, 11,403,286, 26)( 8,205,272,202)( 9,227,276,136) 1207 ( 10, 95,274, 92)( 12,139,273,224)( 13,161,280,356, 20,381,281,246) 1208 ( 14,447,282, 70, 19,117,266,466)( 16,359,284,378, 17,249,277,158) 1209 ( 21,315,275,400, 22, 29,270,422)( 23,182,423,351,311,297,411, 66) 1210 ( 24,468,432,461,326, 77,415,132)( 25,292,433, 65,309,187,401,352) 1211 ( 27,336,421,307,323, 55,397,198)( 28,424,439,329,319,407,418, 44) 1212 ( 30,204,426,219,316,209,404,220)( 31,226,430,153,317,231,408,154) 1213 ( 32, 94,428,109,318, 99,406,110)( 33,402,440, 43,314,429,417,330) 1214 ( 34,138,427,241,320,143,405,242)( 35,160,434,373,328,385,413,264) 1215 ( 36,446,436, 87,327,121,398,484)( 37, 50,419,197,313,341,399,308) 1216 ( 38,358,438,395,325,253,409,176)( 39,248,431,175,324,363,416,396) 1217 ( 40, 72,437,131,310,473,410,462)( 41,116,420,483,322,451,414, 88) 1218 ( 42,380,435,263,321,165,412,374)( 45,177,181,335,333,289,301, 59) 1219 ( 46,463,190,445,348, 69,305,125)( 47,287,191, 49,331,179,291,345) 1220 ( 52,199,184,203,338,201,294,213)( 53,221,188,137,339,223,298,147) 1221 ( 54, 89,186, 93,340, 91,296,103)( 56,133,185,225,342,135,295,235) 1222 ( 57,155,192,357,350,377,303,257)( 58,441,194, 71,349,113,288,477) 1223 ( 60,353,196,379,347,245,299,169)( 61,243,189,159,346,355,306,389) 1224 ( 62, 67,195,115,332,465,300,455)( 63,111,178,467,344,443,304, 81) 1225 ( 64,375,193,247,343,157,302,367)( 68,481,124,442,480, 80,459,128) 1226 ( 74,217,118,200,470,212,448,216)( 75,239,122,134,471,234,452,150) 1227 ( 76,107,120, 90,472,102,450,106)( 78,151,119,222,474,146,449,238) 1228 ( 79,173,126,354,482,388,457,260)( 82,371,130,376,479,256,453,172) 1229 ( 83,261,123,156,478,366,460,392)( 84, 85,129,112,464,476,454,458) 1230 ( 86,393,127,244,475,168,456,370)( 96,208)( 97,230,100,142) 1231 (101,164,104,362,108,384,105,252)(140,207,228,210)(141,229,232,144) 1232 (145,163,236,364,152,383,237,254)(148,361,240,386,149,251,233,166) 1233 (162,214,360,218,382,215,250,211)(167,170,368,372,394,391,259,255) 1234 (171,258,365,174,390,369,262,387) ] ], 1235[ 3, 786839961600, 0, "4c", [ [ 441, 1 ], [ 42, 1 ] ], 1, "M_22^2.4", 1236 [ "Spor", "M(22)", 2 ], 1237 [ ( 1,203,319, 36,400,145,298,130,463,225,253,190,356,387, 12,218,309, 27, 1238 407,146,290,123,474,240,243,181,363,388, 4,211,320, 42,397,137,297, 1239 124,466,233,254,196,353,379, 11,212,312, 35,408,152,287,115,473,234, 1240 246,189,364,394)( 2,207,329, 28,403,140,296,132,464,229,263,182,359, 1241 382, 10,220,310, 31,417,138,293,118,472,242,244,185,373,380, 7,206, 1242 318, 44,398,141,307,116,469,228,252,198,354,383, 21,204,315, 30,406, 1243 154,288,119,483,226,249,184,362,396)( 3,214,326, 41,399,148,304,129, 1244 465,236,260,195,355,390, 18,217,311, 38,414,151,289,126,480,239,245, 1245 192,370,393)( 5,209,322, 26,409,144,306,111,467,231,256,180,365,386, 1246 20,199,313, 33,410,136,299,122,482,221,247,187,366,378, 13,210,328, 1247 23,401,143,300,114,475,232,262,177,357,385, 14,202,321, 34,416,133, 1248 291,121,476,224,255,188,372,375)( 6,205,316, 32,418,134,295,131,468, 1249 227,250,186,374,376, 9,219,314, 29,404,142,308,112,471,241,248,183, 1250 360,384, 22,200,317, 43,402,139,294,120,484,222,251,197,358,381, 8, 1251 208,330, 24,405,153,292,117,470,230,264,178,361,395)( 15,213,323, 37, 1252 411,147,301,125,477,235,257,191,367,389)( 16,216,327, 25,412,150,305, 1253 113,478,238,261,179,368,392, 19,201,324, 40,415,135,302,128,481,223, 1254 258,194,371,377)( 17,215,325, 39,413,149,303,127,479,237,259,193,369, 1255 391)( 45, 49, 55, 58, 48, 57, 56, 64)( 46, 53, 65, 50, 51, 52, 54, 66 1256 )( 47, 60, 62, 63)( 67,159,429,454, 92,277,342, 86,155,423,451,102, 1257 268,343, 78,174,419,445, 99,278,334, 79,166,438,441, 93,275,344, 70, 1258 167,430,460, 89,269,341, 80,158,431,452,108,265,335, 77,168,422,453, 1259 100,284,331, 71,165,432,444,101,276,350)( 68,163,439,446, 95,272,340, 1260 88,156,427,461, 94,271,338, 76,176,420,449,109,270,337, 74,164,440, 1261 442, 97,285,336, 73,162,428,462, 90,273,351, 72,161,426,450,110,266, 1262 339, 87,160,425,448, 98,286,332, 75,175,424,447, 96,274,352) 1263 ( 69,170,436,459, 91,280,348, 85,157,434,458,107,267,346, 84,173,421, 1264 456,106,283,333, 82,172,437,443,104,282,349)( 81,169,433,455,103,279, 1265 345)( 83,171,435,457,105,281,347), 1266 ( 1,171,228,375,165,184,386,143,197,474,137,285,472, 93,268,252, 94, 1267 356,258, 72,371,214, 81,305,218, 15,303,240)( 2, 61,234,309,157, 30, 1268 387,407,185,122,154,461,480,423,266, 54,102,312,245, 28,365,412, 75, 1269 129,220,455,304,438)( 3, 39,233,397,163,118,396,451,194,430,134, 65, 1270 476,313,267, 32,101,400,251,116,374,456, 84,437,200, 59,300,328) 1271 ( 4,259,226,353,170, 74,393,209,191,298,152, 21,479,225,265,164, 96, 1272 378,253,182,364,148, 87,481,203,279,296,108)( 5,281,230, 89,158,250, 1273 380,363,192, 78,151,219,477,291,284, 10,105,224,243,160,360,390, 77, 1274 195,210,147,307,482)( 6,369,236, 67,173,206,389,297,196, 12,149,241, 1275 463,159,272,384, 99,180,254,138,373,478, 71,283,208,103,290,262) 1276 ( 7,347,227,331,161,338,381,341,183,342,139,351,469,335,271,340, 95, 1277 334,249,336,359,346, 73,349,205,345,293,350)( 8,391,231,177,166,140, 1278 395,473,181,276,142,109,466,247,270,362,104, 70,261,204,367,302, 86, 1279 19,215,235,287,174)( 9,127,242,441,172,426,376, 55,190,320,135, 43, 1280 475,401,273,120,110,444,260,424,354, 60, 80,327,201, 37,299,416) 1281 ( 11,193,232,133,175,470,379,275,186,100,136,263,468,357,280, 76,107, 1282 202,257,292,372, 16, 83,239,199,169,294,394)( 13,413,229,111,176,448, 1283 392,429,178, 56,146,329,465, 27,277,406, 97,114,264,446,370,434, 68, 1284 63,212,323,289, 42)( 14,325,223, 23,167,404,383,121,198,452,150,439, 1285 464, 49,278,318, 91, 26,255,402,361,126, 88,459,216,433,288, 64) 1286 ( 17,237,221,155,162,382,385,187,188,144,153,483,467,269,274, 98, 92, 1287 246,248,358,368, 82, 85,217,213,301,306, 20)( 18,435,222, 45,168,316, 1288 377, 33,189,408,141,131,484,445,282,428, 90, 48,256,314,355, 38, 79, 1289 415,207,125,308,460)( 22,457,238,419,156, 52,388,319,179, 34,145,417, 1290 471,115,286,450,106,422,244, 50,366,324, 69, 41,211,411,295,130) 1291 ( 24, 57,410,317,113, 44,453,414,427,112, 66,454,326,421) 1292 ( 25, 35,409,405,119,132,462,458,436,420, 46, 58,322,311) 1293 ( 29,343,403,339,117,352,447,348,425,332, 51,344,315,333) 1294 ( 31,123,418,449,128,440,442, 62,432,310, 47, 36,321,399) 1295 ( 40,431,398, 53,124,330,443) ] ], 1296[ 4, 1573679923200, 0, "4c", [ [ 441, 1 ], [ 42, 1 ] ], 1, 1297 "Aut(M_22) wreath Sym(2)", [ "Spor", "M(22)", 2 ], 1298 [ ( 1, 20, 22, 14, 17, 19, 18, 13, 15, 4, 9, 8, 2, 12)( 3, 6, 7, 11, 1299 16, 10, 21)( 23,438,242,102, 39,437,238,101, 37,422,229, 96, 24,430, 1300 221,108, 44,432,237,107, 40,431,235, 92, 31,426,222,100) 1301 ( 25,424,227, 99, 38,428,241, 91, 28,425,231,104, 32,439,223, 94, 29, 1302 429,236, 98, 43,421,226, 95, 33,434,230,109)( 26,427,228, 90, 34,419, 1303 240,110, 36,435,239,106, 35,433,224, 97, 30,420,232, 89, 42,440,234, 1304 105, 41,436,233,103)( 27,423,225, 93)( 45,152,308,322, 61,151,304, 1305 321, 59,136,295,316, 46,144,287,328, 66,146,303,327, 62,145,301,312, 1306 53,140,288,320)( 47,138,293,319, 60,142,307,311, 50,139,297,324, 54, 1307 153,289,314, 51,143,302,318, 65,135,292,315, 55,148,296,329) 1308 ( 48,141,294,310, 56,133,306,330, 58,149,305,326, 57,147,290,317, 52, 1309 134,298,309, 64,154,300,325, 63,150,299,323)( 49,137,291,313) 1310 ( 67,460,132,190, 83,459,128,189, 81,444,119,184, 68,452,111,196, 88, 1311 454,127,195, 84,453,125,180, 75,448,112,188)( 69,446,117,187, 82,450, 1312 131,179, 72,447,121,192, 76,461,113,182, 73,451,126,186, 87,443,116, 1313 183, 77,456,120,197)( 70,449,118,178, 78,441,130,198, 80,457,129,194, 1314 79,455,114,185, 74,442,122,177, 86,462,124,193, 85,458,123,191) 1315 ( 71,445,115,181)(155,174,176,168,171,173,172,167,169,158,163,162,156, 1316 166)(157,160,161,165,170,164,175)(199,350,418,476,215,349,414,475, 1317 213,334,405,470,200,342,397,482,220,344,413,481,216,343,411,466,207, 1318 338,398,474)(201,336,403,473,214,340,417,465,204,337,407,478,208,351, 1319 399,468,205,341,412,472,219,333,402,469,209,346,406,483) 1320 (202,339,404,464,210,331,416,484,212,347,415,480,211,345,400,471,206, 1321 332,408,463,218,352,410,479,217,348,409,477)(203,335,401,467) 1322 (243,394,264,388,259,393,260,387,257,378,251,382,244,386) 1323 (245,380,249,385,258,384,263,377,248,381,253,390,252,395) 1324 (246,383,250,376,254,375,262,396,256,391,261,392,255,389)(247,379) 1325 (265,372,286,366,281,371,282,365,279,356,273,360,266,364) 1326 (267,358,271,363,280,362,285,355,270,359,275,368,274,373) 1327 (268,361,272,354,276,353,284,374,278,369,283,370,277,367)(269,357), 1328 ( 1,353,365, 79, 74,228,227,337,346,214,215,105, 94, 6) 1329 ( 2,397,374,123, 70, 52,231,271,349, 38,219,457,100,182, 14,243,367, 1330 167, 86,470,230,139,339,302,201,325,106,380)( 3,309,370,387, 68,404, 1331 242,117,334, 60,209,281,107, 28, 21,441,364,189, 80,250,235,161,350, 1332 478,208,149, 97,292)( 4, 45,363,277, 85, 30,241,447,342,192,212,259, 1333 103,160, 20,463,362,145, 75,294,223,315,348,390,200,413,110,116) 1334 ( 5,419,357,431, 71,426,225,425,335,434,203,435, 93,424) 1335 ( 7,331,368,211, 83, 96,226)( 8,221,359,343, 82,206,237, 95,336, 16, 1336 199,369,101, 72)( 9,287,355,321, 84,382,222,403,352,126,202, 61, 99, 1337 270, 19, 23,373,453, 78,184,234,249,345,170,218,479, 98,138) 1338 ( 10,133,361,299, 69,316,238,381,332,412,220,127, 92, 50, 11,265,371, 1339 35, 87,448,232,183,344,258,213,171,108,468)( 12,177,366,255, 81,162, 1340 240,469,340,148,207,303, 91,314, 18,375,354,409, 88,118,224, 51,341, 1341 280,217, 39,109,446)( 13, 67,360,233, 73,338,236,205,347,104,204, 17, 1342 89,358)( 15,155,372,475, 76,140,229,293,333,324,216,391, 90,402, 22, 1343 111,356, 57, 77,272,239, 29,351,456,210,193,102,248)( 24,417,462,122, 1344 180, 58,253,279,173, 42,483,450,144,185,300,245,323,172,394,464,406, 1345 154,119,290, 47,319,282,393)( 25,329,458,386,178,410,264,125,158, 64, 1346 473,274,151, 31,307,443,320,194,388,244,411,176,130,466, 54,143,273, 1347 305)( 26, 65,451,276,195, 36,263,455,166,196,476,252,147,163,306,465, 1348 318,150,383,288,399,330,128,378, 46,407,286,129)( 27,439,445,430,181, 1349 432,247,433,159,438,467,428,137,427,291,421,313,436,379,420,401,440, 1350 115,422, 49,429,269,437)( 32,153,449,298,179,322,260,389,156,416,484, 1351 120,136, 53,297,267,327, 40,395,442,408,198,124,246, 59,165,284,481) 1352 ( 33,285,459, 34,197,454,254,191,168,262,477,164,152,471,296,135,317, 1353 304,377,310,414,396,112,400, 66,121,268, 63)( 37,175,460,474,186,146, 1354 251,301,157,328,480,384,134,405,308,113,312, 62,385,266,415, 44,131, 1355 444, 56,187,278,261)( 41, 43,461,452,188,190,256,257,169,174,482,472, 1356 142,141,295,289,311,326,392,376,398,418,132,114, 48, 55,275,283) ] ], 1357[ 5, 631688818022295862443120211997491200000000, 0, "4c", 1358 [ [ 441, 1 ], [ 42, 1 ] ], 1, "Alt(22) wreath Sym(2)", [ "A", 22, 2 ], 1359 [ ( 1,471,305,444,276,390,102,253,362,425,222, 65,199,475,415,462, 12,383, 1360 300,246,274,434, 90, 55,353,469,239,461,210,387,410,264, 10,427,288, 1361 48,265,478,107,451,364,381,234,263,208,431,398, 66)( 2, 53,287,466, 1362 283,456,100,385,366,249,230,439,200, 57,397,484, 19,449,298,378,278, 1363 258, 98,429,354, 51,221,483,217,453,408,396, 14,251,296,422,266, 60, 1364 89,473,371,447,232,395,212,255,406,440)( 3,317,291,158,272, 82,108, 1365 121,367,337,223,329,203,167,404, 88, 20,119,301,334,267,324, 93,165, 1366 360, 73,240,131,213,343,399,330, 5,163,294, 70,284,126,103,341,355, 1367 315,225,175,206, 79,416,132, 15,339,289,312,269,170, 96, 77,372,117, 1368 235,351,201,321,401,176, 8, 75,306,114,279,346, 91,319,357,161,228, 1369 87,218,123,411,352)( 4,273,302, 92,275,368, 95,231,373,205,233,417, 1370 220, 13,405,308)( 6, 31,292, 26,270, 38, 94, 33,358, 29,226, 43,204, 1371 35,402, 44)( 7,229,307,202,277,412,110, 11,361,293,224,285,214,101, 1372 407,374)( 9,295,290,268,280,104, 99,363,359,227,241,219,211,409,418, 1373 22)( 16, 97,297,356,271,236,109,209,365,403,242, 21,207,299,400,286) 1374 ( 17,141,303,136,281,148,105,143,369,139,237,153,215,145,413,154) 1375 ( 18,185,304,180,282,192,106,187,370,183,238,197,216,189,414,198) 1376 ( 23,468, 41,446, 34,380, 36,248, 32,424, 24, 50)( 25,314, 27,160, 30, 1377 72, 42,116, 37,336)( 39,138)( 40,182)( 45,463,481,459,452,386,388, 1378 256,252,428,420, 46)( 47,309,467,173,448, 78,394,124,257,340,421,310, 1379 49,155,470, 85,460,122,389,344,245,318,423,156, 52, 67,482,129,455, 1380 342,377,322,247,164,426, 68, 64,111,477,349,443,320,379,168,250, 76, 1381 438,112, 59,331,465,327,445,166,382, 80,262,120,433,332) 1382 ( 54,419,464, 63,441,474,393,454,254,384,432,244)( 56,375,476,261,450, 1383 430,376, 58,243,472,437,442)( 61,133,479,151,457,144,391,146,259,142, 1384 435,134)( 62,177,480,195,458,188,392,190,260,186,436,178) 1385 ( 69,328,115,169,338)( 71,174,118, 81,350,113,323,335,157,316) 1386 ( 74, 86,130,125,345,333,311,313,159,162)( 83,152,127,147,347,135,325, 1387 137,171,140)( 84,196,128,191,348,179,326,181,172,184)(150,193), 1388 ( 1,476,158,277,402, 25,319,362,430,375,481,444,281,138, 27,231,373, 1389 210,392,195,462, 17,146,159,233,417,201,326,186,440)( 2, 58,156, 57, 1390 398, 47,310, 54,420, 45,464, 48,266, 50, 24, 55,354, 56,376, 63,442, 1391 61,134, 49,222, 65,200, 62,178, 66)( 3,322,164,431,397,465,312,274, 1392 424, 23,473,356,276,380, 41,451,369,144,379,239,461,215,150,181,242, 1393 21,212,172,189,418)( 4,278,160, 35,407,355,320,384,437,441,479,136, 1394 269,226, 43,209,370,188,396, 19,454,171,145,401,223,329,208,436,177, 1395 484)( 5,234,175,211,414,179,330, 10,432,155,475,400,267,314, 32,429, 1396 353,474,378,283,446, 39,143,357,232,395,217,458,193,154) 1397 ( 6, 36,165,365,408,377,327,450,435,133,467,224,285,204, 40,187,374, 1398 12,388,173,453,413,135,313,230,439,199,480,180,286)( 7,256,169,343, 1399 404, 69,315,252,433,331,470, 70,271,248, 37,341,360, 78,381,261,455, 1400 347,140, 71,227,263,213,348,184, 88)( 8, 80,161,255,411,333,316, 76, 1401 425,243,477,334,272, 72, 29,253,367,342,382, 85,447,259,147,335,228, 1402 87,205,260,191,352)( 9,300,163,299,405,289,317,296,427,287,471,290, 1403 273,292, 31,297,361,298,383,305,449,303,141,291,229,307,207,304,185, 1404 308)( 11,366,166,387,415,443,325,142,423,221,483,202,282,182, 44) 1405 ( 13,410,157,321,406,421,309,472,422,265,468, 26,275,358, 34,385,371, 1406 452,391,151,445,237,153,203,238,197,220, 18,190,176)( 14,168,167,409, 1407 399,311,318,428,419,463,466,268,270, 28, 33,363,364,386,393,459,457, 1408 149,137,225,241,219,216,194,198, 22)( 15,344,162, 79,403,245,323,340, 1409 426, 67,469,246,279,336, 30, 77,359,254,389,349,448, 83,139,247,235, 1410 351,206, 84,183,264)( 16,102,170,101,412, 91,324, 98,434, 89,478, 92, 1411 280, 94, 38, 99,368,100,390,107,456,105,148, 93,236,109,214,106,192, 1412 110)( 20,124,174,123,416,113,328,120,438,111,482,114,284,116, 42,121, 1413 372,122,394,129,460,127,152,115,240,131,218,128,196,132) 1414 ( 51,244, 59,332, 52, 68)( 53,288)( 60, 90)( 64,112)( 73,249,257,345, 1415 338, 74)( 75,293,251,301,339,294)( 81,337,250)( 82, 95,258,103,346, 1416 96)( 86,117,262,125,350,118)( 97,302)(108,126)(119,306) ] ], 1417[ 6, 1263377636044591724886240423994982400000000, 0, "4c", 1418 [ [ 441, 1 ], [ 42, 1 ] ], 1, "Alt(22)^2.2^2", [ "A", 22, 2 ], 1419 [ ( 1,313,131,155,181, 43,441, 5,329,111,159,197, 23,445, 21,309,115,175, 1420 177, 27,461)( 2,321,122,170,186, 28,458, 15,327,113,171,196, 44,444, 1421 9,315,121,162,178, 35,452, 16,318,116,172,191, 41,443, 17,328,132, 1422 158,185, 29,451, 8,310,123,166,192, 32,446, 18,323,129,157,193, 42, 1423 462, 4,317,117,165,184, 24,453, 12,324,120,160,194, 37,459, 3,325, 1424 130,176,180, 31,447, 11,316,112,167,188, 38,450, 6,326,125,173,179, 1425 39,460, 22,312,119,161,187, 30,442, 13,320,126,164,182, 40,455, 19, 1426 311,127,174,198, 26,449, 7,319,118,156,189, 34,456, 10,314,128,169, 1427 195, 25,457, 20,330,114,163,183, 33,448)( 14,322,124,168,190, 36,454) 1428 ( 45,335, 87,419,291,395,353,401,153,221, 49,351, 67,423,307,375,357, 1429 417,133,225, 65,331, 71,439,287,379,373,397,137,241)( 46,343, 78,434, 1430 296,380,370,411,151,223, 61,350, 88,422,295,381,363,404,134,233, 56, 1431 346, 76,424,304,389,371,399,149,240, 66,334, 75,425,297,382,354,409, 1432 144,236, 54,336, 84,433,305,377,369,416,154,224, 53,337, 77,426,288, 1433 387,364,412,142,226, 62,345, 85,421,303,394,374,400,141,227, 55,338, 1434 68,431,298,390,362,402,150,235, 63,333, 83,438,308,378,361,403,143, 1435 228)( 47,347, 86,440,290,383,359,407,140,222, 57,342, 82,428,292,392, 1436 367,415,135,237, 64,352, 70,427,293,385,360,398,145,232, 60,340, 72, 1437 436,301,393,355,413,152,242, 48,339, 73,429,294,376,365,408,148,230, 1438 50,348, 81,437,289,391,372,418,136,229, 51,341, 74,420,299,386,368, 1439 406,138,238, 59,349, 69,435,306,396,356,405,139,231, 52,332, 79,430, 1440 302,384,358,414,147,239)( 58,344, 80,432,300,388,366,410,146,234) 1441 ( 89,269,483)( 90,277,474,104,274,468,106,279,481, 91,281,482,110,268, 1442 471, 95,275,470)( 92,273,469, 99,272,464,101,276,478, 98,270,480,103, 1443 283,465,105,284,484)( 93,285,463)( 94,282,477,107,267,479,108,286, 1444 466, 97,271,473, 96,266,475,100,280,472)(102,278,476)(109,265,467) 1445 (199,203,219)(200,211,210,214,208,204,216,213,217,201,215,218,220,202, 1446 207,205,209,206)(243,247,263)(244,255,254,258,252,248,260,257,261, 1447 245,259,262,264,246,251,249,253,250), 1448 ( 1,102,298,347,422,189,264, 77,173, 52, 37,416,468,376,280,219, 9, 1449 146,296,127,425,233,245,363,172,316, 27,460,463, 90,276,351, 4,190, 1450 308, 83,437, 57,257,407,160,382, 38,218,471,134,274,131, 7,234,289, 1451 369,436,321,247,451,155, 96, 34,350,466,178,286, 87, 19, 58,301,413, 1452 424,387,258,209,163,140, 32,130,469,222,267,373, 18,322,291,457,419, 1453 101,254,341,158,184, 44, 86,481, 46,279,417, 6,388,302,215,427,145, 1454 252,121,161,228, 25,372,480,310,269,461)( 2,278,307, 17,432,299,259, 1455 429,167,250, 33,174,470, 24,284,483)( 3,366,304,325,423,453,243, 99, 1456 166,338, 26,196,484, 68,283, 65, 15,410,292,391,434,211,251,143,164, 1457 118, 29,240,465,354,282,329, 5,454,287,105,430,343,246,187,176, 74, 1458 41, 64,477,398,270,395, 16,212,295,149,428,123,249,231,157,360, 40, 1459 328,467,442,265,109, 12,344,290,193,440, 79,261, 55,169,404, 28,394, 1460 478,200,273,153, 10,124,293,237,421,365,260,319,159,448, 23,108,474, 1461 332,268,197, 22, 80,305, 61,433,409,248,385,170,206, 31,152,472,112, 1462 271,241)( 8, 36,306,479,420,277,263, 11,168,294, 39,438,475,244,275, 1463 175)( 13,256,297,171,426, 35,262,473,156,272, 43, 20,476,288,281,439) 1464 ( 14,300,303,435,431,255,253,165,162, 30, 42,482,464,266,285, 21) 1465 ( 45,103,408,336,378,192,220, 75,151, 54,125,403,226,377,368,216,317, 1466 137,450,111, 95,232,333,356,194,330, 71,459)( 47,367,414,314,379,456, 1467 199, 97,144,340,114,183,242, 69,371, 62,323,401,446,375,104,210,339, 1468 136,186,132, 73,239)( 48,191,418, 72,393, 60,213,405,138,384,126,205, 1469 229,135,362,128,315,225,443,353,106,320,335,444,177,110, 78,349) 1470 ( 49,455,397, 94,386,346,202,185,154, 76,129, 51,235,399,358,392,324, 1471 203,449,133, 98,122,337,224,179,374, 84,327)( 50,389,412,204,383,148, 1472 208,119,139,230,113,359,238,311,357,458,309, 93,452,331, 92,188,352, 1473 70,195, 66, 81,415)( 53,147,406,116,381,236,201,361,150,318,115,447, 1474 221, 91,364,348,312,181,462, 67,107, 56,345,400,182,396, 82,217) 1475 ( 59,411,402,380,390,214,207,141,142,120,117,227,223,355,370,326,313, 1476 445,441, 89,100,342,334,180,198, 88, 85, 63) ] ], 1477[ 7, 1263377636044591724886240423994982400000000, 0, "4c", 1478 [ [ 441, 1 ], [ 42, 1 ] ], 1, "Alt(22)^2.4", [ "A", 22, 2 ], 1479 [ ( 1,154, 3,144, 5,141, 17,152, 18,147, 13,153, 8,138, 4,142, 16,139, 1480 11,133, 22,135, 12,137, 9,149, 20,150, 15,145, 21,140, 6,136, 10, 1481 148, 7,143)( 2,151, 14,134, 19,146)( 23,132,223,100,203, 53,281, 1482 394,172,301,321,417,184,468, 70,428,368,337,253,441, 44,113,232, 93, 1483 207, 61,284,392,169,299,329,404,182,466, 76,434,359,341,243,462, 25, 1484 122,225, 97,215, 64,282,389,167,307,316,402,180,472, 82,425,363,331, 1485 264,443, 34,115,229,105,218, 62,279,387,175,294,314,400,186,478, 73, 1486 429,353,352,245,452, 27,119,237,108,216, 59,277,395,162,292,312,406, 1487 192,469, 77,419,374,333,254,445, 31,127,240,106,213, 57,285,382,160, 1488 290,318,412,183,473, 67,440,355,342,247,449, 39,130,238,103,211, 65, 1489 272,380,158,296,324,403,187,463, 88,421,364,335,251,457, 42,128,235, 1490 101,219, 52,270,378,164,302,315,407,177,484, 69,430,357,339,259,460, 1491 40,125,233,109,206, 50,268,384,170,293,319,397,198,465, 78,423,361, 1492 347,262,458, 37,123,241, 96,204, 48,274,390,161,297,309,418,179,474, 1493 71,427,369,350,260,455, 35,131,228, 94,202, 54,280,381,165,287,330, 1494 399,188,467, 75,435,372,348,257,453, 43,118,226, 92,208, 60,271,385, 1495 155,308,311,408,181,471, 83,438,370,345,255,461, 30,116,224, 98,214, 1496 51,275,375,176,289,320,401,185,479, 86,436,367,343,263,448, 28,114, 1497 230,104,205, 55,265,396,157,298,313,405,193,482, 84,433,365,351,250, 1498 446, 26,120,236, 95,209, 45,286,377,166,291,317,413,196,480, 81,431, 1499 373,338,248,444, 32,126,227, 99,199, 66,267,386,159,295,325,416,194, 1500 477, 79,439,360,336,246,450, 38,117,231, 89,220, 47,276,379,163,303, 1501 328,414,191,475, 87,426,358,334,252,456, 29,121,221,110,201, 56,269, 1502 383,171,306,326,411,189,483, 74,424,356,340,258,447, 33,111,242, 91, 1503 210, 49,273,391,174,304,323,409,197,470, 72,422,362,346,249,451) 1504 ( 24,129,234, 90,217, 58,266,393,168,288,327,410,178,481, 80,420,371, 1505 344,244,459, 36,112,239,102,200, 63,278,376,173,300,310,415,190,464, 1506 85,432,354,349,256,442, 41,124,222,107,212, 46,283,388,156,305,322, 1507 398,195,476, 68,437,366,332,261,454), 1508 ( 1,162,125,342,101,451, 3,250,132, 56,102, 33, 7,272,129,298,104, 1509 143, 2,404,120,188, 89,165, 15,338,123,452, 91,253, 22, 52,124, 34, 1510 95,275, 19,294,126,144, 90,407, 10,184,111,166,103,341, 13,448,113, 1511 254,110, 55, 14, 30,117,276,107,297, 16,140,112,408, 98,187) 1512 ( 4,228,116, 78,109,429, 18,470,115,320,108,385, 9,360,127,210, 92, 1513 231, 6, 74,131,430,106,473, 5,316,130,386, 97,363, 17,206,114,232, 1514 94, 77, 21,426,128,474, 93,319, 20,382,119,364,105,209) 1515 ( 8,118,122,100, 99, 11)( 12, 96,121)( 23,161,279,349,299,456,135, 1516 244,418, 54,190)( 24,403,274,195,287,170,147,332,409,450,179,243,176, 1517 59,344, 35,447,267,261,308, 60,146)( 25,249,286, 63,300, 38,139,266, 1518 415,296,192,133,156,411,340,189,441,157,257,352, 57,454) 1519 ( 26,227,270, 85,307,434,150,464,401,318,196,375,163,367,347,211,444, 1520 223,248, 88, 65,432, 40,469,269,327,306,390,141,354,413,208,180,221, 1521 160, 81,351,431,458,465,247,330, 64,388, 31,359,281,217,290,236,138, 1522 68,417,428,194,463,159,323,350,387,449,355,259,220, 48,234, 28, 73, 1523 285,437,304,478,137,310,416,384,185,353,171,213,334,233,446, 69,263, 1524 440, 62,476, 27,315,284,393,295,368,149,200,400,230,182, 67,175,433, 1525 348,475,445,311,262,396, 53,366, 39,205,268,239,292, 82,153,420,414, 1526 472,181,309,174,389,339,365,457,201,246,242, 50, 80, 43,425,282,481, 1527 291,324,152,376,405,362,193,199,158,235,336, 79,461,421,260,484, 49, 1528 322, 42,381,273,371,303,214,136,222,402, 76,197,419,172,477,335,321, 1529 460,377,251,374, 61,212)( 29,271,283,305,302,148,134,398,406,186,177, 1530 155,169,345,343,453,443,245,264, 66, 58, 36)( 32,183,265,173,301,346, 1531 145,442,399,252,198, 45,168, 37,337,277,459,289,258,154, 46,410) 1532 ( 41,293,280,151,288,412,142,178,397,164,191,331,167,455,333,255,462, 1533 47,256, 44, 51,278)( 70,241,424, 84,483,423,326,482,379,317,372,391, 1534 207,356,237,204)( 71,329,438,392,471,357,325,218,378,229,358, 83,219, 1535 422,238,468)( 72, 87,439,436,480,467,313,328,394,383,361,369,215,202, 1536 224,226)( 75,373,435,216,466,225,314, 86,395,427,370,479,203,312,240, 1537 380) ] ], 1538[ 8, 2526755272089183449772480847989964800000000, 0, "4c", 1539 [ [ 441, 1 ], [ 42, 1 ] ], 1, "Sym(22) wreath Sym(2)", [ "A", 22, 2 ], 1540 [ ( 1,291, 96,210, 29, 57,358,240,135,280,187,417,345, 85, 9,115,102,320, 1541 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66,369,453,277, 68)( 71,415, 80,315,348,141,180,396,118,156,186, 72, 1744 211,219,290)( 74,208,451,378,151)( 81,267,387,225,376) 1745 ( 82,129,228,371,456)( 90,336,296,382,176,495,164,491,404,424,425,445, 1746 392,159,304)( 95,221,455,467,198)(103,440,244,442,109) 1747 (107,194,458,235,323,193,312,381,209,261,313,428,160,265,146) 1748 (111,439,197,147,427,236,270,320,262,482,274,331,172,341,435) 1749 (123,338,224,402,232)(153,449,154,202,461)(158,317,238,187,344) 1750 (170,303,447,426,481)(199,483,370,280,253)(406,410,430,432,475) ] ], 1751[ 2, 50030759116800, 0, "2", [ [ 256, 1 ], [ 238, 1 ] ], 1, "PSO-(10, 2)", 1752 [ "2D", [ 5, 2 ], 1 ], 1753 [ ( 1, 84,238,245,412, 19, 92, 33,264,186,487,313,428,291,338,341,320,241, 1754 108,126, 72,187,360,278,463,244, 68,150,301, 80,353,149,227,116,147, 1755 476,217, 64, 34,388)( 2,285,436,154, 70,344,289,231,459,438,365,275, 1756 161,430,105,382, 69, 36,407,255, 81,213,286,309,450,473,100,279,283, 1757 44,214,441,431, 91,273,475,249,458,172,280)( 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136,182,410, 45,439,190,160,433,143,138,494, 20,414,467, 99,429,479, 1772 271,200,295,488,207, 50,326, 88,490,462,195,477,262,176, 57, 32) 1773 ( 11,401,403,306,468,221,181, 74,455,465,332,228,177,457,422, 46,398, 1774 134,290,340)( 12,129,389,385)( 16,256,125,268,248,235,270,296,446, 1775 31, 60,199, 97,294,167,229, 48,317,460,337)( 18, 65, 82, 23,485,208, 1776 482,461)( 21,453,358,396,416)( 22,361,426,478,423,330, 76,474) 1777 ( 24, 71, 28,117,191,269,156,445,451,254,102,415,139,173,352,276,302, 1778 111,419,470,399,384,281,454,179, 49, 90,440,435,222,434,378,218,162, 1779 373,312,272,448,303,185)( 25,261,425,343,471, 79,390,300,183,130,444, 1780 409, 86,168,368,216,203,113,321,325)( 29, 47,135,219) 1781 ( 40,159,131, 58,483,376,369,210)(120,328,267,381,424) 1782 (141,466,232,305,493,226,184,484,274,192)(327,374), 1783 ( 1,323, 90, 65,116, 73, 32,353, 23)( 2, 28, 45, 8,286, 37,448,111, 1784 81)( 3,326, 63,436, 99,200, 46, 11,149)( 4,411,228, 40, 94,428, 1785 104,342,276)( 5, 85,153,239,134,479,219,355,348)( 6,343,155, 33, 1786 112,329,142,470,384)( 7,416,415,197,468,407,459,491,271) 1787 ( 9,418,203,230,389,253,118,163,475)( 10,204, 17,152, 93,368,330,452, 1788 103)( 12,127,388,196,404, 74,289,457,458)( 13,140,227, 87,154,309, 1789 430,202,193)( 14,370,218,293,484, 88,394,332,101)( 15, 51, 44,439, 1790 114,471,423,357,161)( 16,318, 53,184,209,235,414,229,461) 1791 ( 18,274,489,248, 62, 48,131,331,434)( 19, 79,369,341,367,405,165,351, 1792 454)( 20, 38,296,279,396,265,157,249,160)( 21,138,121,365,359,213, 1793 43,478, 78)( 22,437,431,221,275,132,386,128,280)( 24,237,123,435, 1794 205,282,173,485,398)( 25,215, 75,301,190,360,120,137,270) 1795 ( 26,226,391, 80,125, 36,472, 61,374)( 27, 77,212, 39,417,179,254,446, 1796 245)( 29,290,383,300,231,425,480,113,403)( 30,390,443, 86,144,385, 1797 392,450,124)( 31,266,167,490,199,305, 54,337,136)( 34,151,133,162, 1798 401,444,476,109,419)( 35,408,345,495,211,299,272,487, 58) 1799 ( 41,244,482,420, 91,260,399,269,377)( 42, 47,456, 70,371, 67,243,287, 1800 261)( 49,108,464)( 50,159,376,195,169,294, 95,241,410) 1801 ( 52,372,284,319,146, 92,207,242,192)( 55, 71,356,168,422,288,375,240, 1802 198)( 56,115,100,347,473,397,324, 69,297)( 57, 98, 97,177,327,135, 1803 267,126,298)( 59,322,438,262,338,214,188,236,170)( 60,210,246,413, 1804 172,373,449,466,302)( 64,208,362,292,183,191,283,268,421) 1805 ( 66,176,494,387,110,429,303,247,336)( 68,122,320,258,223,251,358,334, 1806 105)( 72,346,352,340,381,150,379,316,335)( 76,311,310,187,252,333, 1807 234,255,361)( 82,308,366,257,238,181,312,314,166)( 83,451,363,206, 1808 349,264,488,107,447)( 84,325,285,313,402,281, 89,307,143) 1809 ( 96,233,156,433,291,460,400,224,465)(102,216,453,277,256,483,178,263, 1810 117)(106,225,148,382,481,217,259,350,462)(119,174,426) 1811 (129,145,250,409,182,306,328,455,273)(130,232,395,469,441,220,463,477, 1812 474)(139,201,424,364,380,445,432,427,194)(141,180,186,339,344,406, 1813 442,317,493)(147,175,412,467,295,486,304,164,440)(158,393,189,492, 1814 171,378,315,321,185)(222,354,278) ] ], 1815[ 3, 95040, 1, "2", 1816 [ [ 24, 1 ], [ 48, 2 ], [ 16, 1 ], [ 6, 1 ], [ 96, 3 ], [ 32, 2 ] ], 1, 1817 "M_12", [ "Spor", "M(12)", 1 ], 1818 [ ( 1,279)( 2,141)( 3,365)( 4, 50)( 5,382)( 6,118)( 7, 84)( 8,188) 1819 ( 9, 20)( 10,138)( 11, 62)( 12,378)( 13, 25)( 14,159)( 15, 51) 1820 ( 16,484)( 17, 24)( 18,255)( 19,163)( 21,298)( 22,294)( 23,210) 1821 ( 26,158)( 27,187)( 28,390)( 29, 38)( 30,271)( 31,124)( 32,288) 1822 ( 33,360)( 34,422)( 35,446)( 36,205)( 37,173)( 39,404)( 40,139) 1823 ( 41,209)( 42,345)( 43,112)( 44,206)( 45,224)( 46,398)( 47,292) 1824 ( 48,119)( 49,323)( 52,308)( 53,370)( 54, 96)( 55,144)( 56,296) 1825 ( 57,197)( 58, 97)( 59,424)( 60,462)( 61, 87)( 63,338)( 64,223) 1826 ( 65,200)( 66,332)( 67,435)( 68,453)( 69,199)( 70,212)( 71,258) 1827 ( 72,427)( 73, 91)( 74,239)( 75,194)( 76, 77)( 78,286)( 79,257) 1828 ( 80,318)( 81,454)( 82,368)( 83,302)( 85,358)( 86,121)( 88,340) 1829 ( 89,386)( 90,161)( 92,202)( 93,196)( 94,165)( 95,311)( 98,170) 1830 ( 99,471)(100,219)(101,221)(102,192)(103,285)(104,342)(105,477) 1831 (106,259)(107,392)(108,300)(109,488)(110,429)(111,299)(113,353) 1832 (114,169)(115,149)(116,181)(117,261)(120,127)(122,278)(123,336) 1833 (125,489)(126,355)(128,307)(129,480)(130,354)(131,414)(132,380) 1834 (133,369)(134,260)(135,156)(136,470)(137,476)(142,248)(143,321) 1835 (145,216)(146,245)(147,225)(148,465)(150,235)(151,362)(152,256) 1836 (153,303)(154,397)(155,458)(157,389)(160,455)(162,238)(164,348) 1837 (166,186)(167,301)(168,316)(171,344)(172,275)(174,203)(175,335) 1838 (176,431)(177,366)(178,229)(179,270)(180,327)(182,367)(183,230) 1839 (184,487)(185,218)(189,265)(190,236)(191,460)(193,374)(195,231) 1840 (198,215)(201,207)(204,361)(208,377)(211,419)(213,393)(217,450) 1841 (220,364)(222,266)(226,272)(227,437)(228,263)(232,349)(233,273) 1842 (234,421)(237,445)(240,352)(241,385)(242,373)(243,295)(244,251) 1843 (247,268)(249,324)(250,420)(252,403)(253,482)(254,291)(262,395) 1844 (264,448)(267,290)(269,277)(274,410)(276,430)(280,438)(281,339) 1845 (282,405)(283,322)(284,436)(287,457)(289,379)(293,310)(297,320) 1846 (304,406)(305,363)(306,469)(309,330)(312,415)(314,442)(315,381) 1847 (317,346)(319,408)(325,490)(326,423)(328,473)(329,492)(334,387) 1848 (341,375)(347,416)(350,463)(351,411)(357,399)(359,418)(371,396) 1849 (372,409)(376,413)(384,451)(388,479)(391,394)(400,425)(402,478) 1850 (407,433)(412,459)(417,467)(426,452)(428,441)(432,475)(434,468) 1851 (439,491)(443,495)(444,472)(447,461)(449,486)(456,474)(466,494) 1852 (481,483), ( 1,260,443)( 2,246,213)( 3,427,401)( 4,340,339) 1853 ( 5, 61,108)( 6,106, 29)( 7, 34,425)( 8,362,303)( 10,203, 88) 1854 ( 11,241,103)( 12, 75,343)( 13,184,237)( 14,330,319)( 15,277,127) 1855 ( 16,232,417)( 17,462, 86)( 18,475,151)( 19, 79,394)( 20,450, 99) 1856 ( 21, 84,221)( 22,393,129)( 23,120, 77)( 24,187,186)( 25,283,372) 1857 ( 26,356,444)( 27,273,494)( 28,220, 95)( 30, 48,142)( 31,171,404) 1858 ( 32,399,116)( 35,238,337)( 36,415,162)( 38,370,202)( 39,208,430) 1859 ( 40,258, 54)( 41,438,140)( 42,173,135)( 43, 80,250)( 44, 89,144) 1860 ( 45,226,310)( 46,421, 58)( 47,159,354)( 49,276,175)( 50,252, 85) 1861 ( 51,264,410)( 52,128,177)( 53,436,353)( 55,197,419)( 56,317,468) 1862 ( 57,351,326)( 59,350,179)( 60,435,251)( 62,407,201)( 63,205,294) 1863 ( 64,215,402)( 65,284,312)( 66,245,355)( 67,124,478)( 68,429,366) 1864 ( 69,290,191)( 70,291,313)( 71,256,338)( 72,449,192)( 73,230,491) 1865 ( 74,165,270)( 76, 83,420)( 78,368,130)( 81,369,288)( 82,269,297) 1866 ( 87,335,110)( 90,373,367)( 91,364,254)( 92,403,492)( 93,206,160) 1867 ( 94,493,434)( 96,342,155)( 97,388,289)( 98,107,218)(100,266,132) 1868 (101,467,104)(102,190,118)(105,136,280)(109,390,168)(111,426,391) 1869 (112,400,224)(113,267,384)(114,457,282)(115,460,374)(117,156,458) 1870 (119,316,315)(121,439,174)(122,274,281)(123,189,219)(125,336,183) 1871 (126,360,487)(131,377,253)(133,154,214)(134,298,285)(137,481,479) 1872 (138,331,229)(139,485,431)(141,474,482)(143,287,352)(145,261,406) 1873 (146,465,424)(147,440,477)(148,454,193)(149,239,244)(150,418,484) 1874 (152,178,272)(153,472,207)(157,392,441)(158,231,320)(161,386,170) 1875 (163,469,451)(164,295,379)(166,398,198)(167,200,428)(169,433,480) 1876 (172,327,321)(176,242,233)(180,182,345)(181,271,442)(185,322,334) 1877 (188,268,204)(194,416,301)(195,464,461)(196,292,396)(199,243,383) 1878 (209,378,371)(210,333,486)(211,332,448)(212,234,361)(216,471,262) 1879 (217,279,227)(222,385,278)(223,307,259)(225,447,456)(228,452,395) 1880 (235,300,381)(236,240,344)(247,483,423)(248,382,302)(249,495,293) 1881 (255,296,314)(263,412,488)(265,275,318)(286,414,432)(299,348,405) 1882 (304,389,422)(305,470,446)(306,357,437)(308,408,363)(309,311,375) 1883 (323,453,328)(324,376,358)(329,409,349)(341,463,347)(346,466,445) 1884 (359,455,365)(397,476,459)(411,489,490) ] ], 1885[ 4, 190080, 0, "2", 1886 [ [ 24, 1 ], [ 16, 1 ], [ 192, 1 ], [ 6, 1 ], [ 96, 2 ], [ 64, 1 ] ], 1, 1887 "M_12.2", [ "Spor", "M(12)", 1 ], 1888 [ ( 1,401)( 2, 6)( 3,356)( 4,354)( 5,296)( 7,468)( 8,256)( 9,202) 1889 ( 10,331)( 11,272)( 12,482)( 13,162)( 14,325)( 15, 63)( 16,378) 1890 ( 17,393)( 18,319)( 19,218)( 20,490)( 21, 23)( 22,154)( 24,336) 1891 ( 25,280)( 26,390)( 27,246)( 28,213)( 29,420)( 30,183)( 31,273) 1892 ( 33, 42)( 34, 99)( 35,136)( 36,137)( 37,138)( 38, 95)( 39,463) 1893 ( 40,383)( 41,414)( 43,479)( 44,148)( 45,379)( 46,447)( 47,161) 1894 ( 48,394)( 49,164)( 50,438)( 51,159)( 52, 56)( 53,318)( 54,430) 1895 ( 55,386)( 57,397)( 58,425)( 59,196)( 60,100)( 61,239)( 62,284) 1896 ( 64, 96)( 65,453)( 66,419)( 67,230)( 68,111)( 69,176)( 70,204) 1897 ( 71,128)( 72,437)( 73,465)( 74,308)( 75,428)( 76,250)( 77,127) 1898 ( 78,481)( 79,376)( 80,102)( 81,291)( 82,403)( 83,434)( 84,262) 1899 ( 85,223)( 87,109)( 88,470)( 89,352)( 90,171)( 91,314)( 92,112) 1900 ( 93,242)( 94,429)( 97,129)( 98,190)(101,493)(103,449)(104,323) 1901 (105,411)(106,139)(107,347)(108,388)(110,301)(113,285)(114,234) 1902 (115,307)(116,439)(117,349)(118,330)(119,222)(120,309)(121,265) 1903 (122,221)(123,244)(124,424)(125,130)(126,332)(131,268)(132,328) 1904 (133,454)(134,240)(135,153)(140,445)(141,166)(142,346)(144,214) 1905 (145,406)(147,368)(149,170)(150,476)(151,155)(152,448)(156,340) 1906 (157,395)(158,418)(160,472)(163,233)(165,298)(167,389)(168,452) 1907 (169,444)(172,427)(174,345)(175,179)(177,441)(180,275)(182,371) 1908 (184,367)(185,191)(186,231)(187,257)(188,261)(189,486)(192,253) 1909 (193,392)(194,359)(195,311)(197,225)(198,413)(199,310)(200,276) 1910 (201,405)(203,491)(205,237)(207,293)(208,396)(209,487)(210,302) 1911 (211,369)(212,469)(215,464)(216,467)(217,329)(219,248)(220,374) 1912 (224,433)(226,247)(227,254)(228,382)(229,361)(235,343)(236,456) 1913 (238,317)(241,417)(243,375)(245,455)(249,478)(251,366)(252,471) 1914 (255,410)(258,274)(259,341)(260,333)(263,400)(266,342)(267,443) 1915 (269,408)(270,344)(271,380)(277,474)(278,432)(279,321)(281,477) 1916 (282,473)(283,384)(286,358)(287,303)(288,357)(289,416)(290,451) 1917 (292,351)(294,316)(295,485)(297,364)(299,381)(300,459)(304,484) 1918 (305,442)(306,387)(312,494)(313,399)(315,483)(320,461)(322,446) 1919 (324,460)(326,475)(327,355)(335,458)(337,409)(338,412)(339,362) 1920 (348,350)(365,450)(370,385)(372,492)(373,402)(377,436)(391,466) 1921 (398,407)(404,415)(422,426)(423,440)(431,435)(457,495)(462,489) 1922 (480,488), ( 1,463,361)( 2,113,248)( 3,207,136)( 4, 50,102) 1923 ( 5,185,495)( 6,328,369)( 7,159,431)( 8,424,213)( 9,182,367) 1924 ( 10,143,356)( 11,381, 98)( 12,380, 54)( 13,133,296)( 14,351, 24) 1925 ( 15,193,462)( 16, 53,494)( 17,347,176)( 18,486, 69)( 19,154,245) 1926 ( 21,189,409)( 22, 49,403)( 23,259,368)( 25,340,118)( 26,305,366) 1927 ( 27,353,482)( 28,423,220)( 29,438,116)( 30,435,235)( 31,237,489) 1928 ( 32,200, 72)( 33,451, 75)( 34,240, 38)( 35,165, 89)( 36,281,295) 1929 ( 37, 68,427)( 39,140,126)( 40,432,414)( 41, 70,378)( 42, 85,440) 1930 ( 43,360,342)( 44, 99,238)( 45,221,490)( 46,392,466)( 47,310,101) 1931 ( 48,493,211)( 51,395,196)( 52,292,224)( 55,479,117)( 56,473, 88) 1932 ( 57, 90,418)( 58,289, 67)( 59,318, 77)( 60,319,262)( 61,249,390) 1933 ( 62,174,406)( 63,152,391)( 64,388,114)( 65,254,173)( 66,398,370) 1934 ( 71,146,190)( 73,400, 91)( 76,284,393)( 78,464,306)( 79,236,397) 1935 ( 80,188,436)( 81,430,273)( 82,458,421)( 83,215, 86)( 84,416,411) 1936 ( 87,364,242)( 92,452,402)( 93,408,374)( 94,387,164)( 95,179,178) 1937 ( 96,428,209)( 97,271,410)(100,478,128)(103,415,434)(104,194,329) 1938 (105,161,429)(106,474,155)(107,332,484)(108,206,244)(109,280,352) 1939 (110,197,183)(111,201,275)(112,492,384)(115,334,446)(119,246,419) 1940 (120,205,145)(121,272,195)(122,142,187)(123,314,394)(124,228,389) 1941 (125,297,263)(127,264,339)(129,147,229)(130,307,426)(131,250,232) 1942 (132,212,441)(134,233,267)(135,336,256)(137,302,231)(138,321,333) 1943 (139,349,459)(141,278,253)(144,433,169)(148,372,447)(149,386,348) 1944 (150,379,274)(151,454,260)(153,401,322)(156,338,442)(157,320,445) 1945 (158,341,282)(160,287,468)(162,376,251)(163,258,257)(166,184,255) 1946 (167,377,208)(168,363,405)(170,460,203)(171,467,344)(172,365,346) 1947 (175,327,382)(177,316,375)(180,330,218)(181,488,422)(186,199,241) 1948 (191,315,304)(198,476,226)(202,219,354)(204,399,222)(210,234,456) 1949 (216,243,448)(217,311,225)(223,407,261)(227,252,396)(230,359,477) 1950 (239,444,472)(247,294,437)(265,483,461)(266,491,279)(268,371,323) 1951 (269,455,312)(270,450,480)(276,362,290)(277,285,457)(283,303,331) 1952 (286,343,469)(288,453,291)(293,308,325)(298,465,481)(299,317,470) 1953 (300,413,471)(309,335,443)(324,373,326)(345,358,383)(350,439,357) 1954 (355,404,485)(385,449,487)(412,420,475) ] ], 1955[ 5, 95040, 1, "2", 1956 [ [ 24, 1 ], [ 48, 2 ], [ 16, 1 ], [ 6, 1 ], [ 96, 3 ], [ 32, 2 ] ], 1, 1957 "M_12", [ "Spor", "M(12)", 1 ], 1958 [ ( 1,104)( 2, 26)( 3,302)( 4,376)( 5,158)( 6,196)( 7,304)( 8,211) 1959 ( 9,344)( 10,353)( 11,207)( 12, 19)( 13, 34)( 14, 68)( 15,377) 1960 ( 16,317)( 17,165)( 18,218)( 20,481)( 21,251)( 22,292)( 23,465) 1961 ( 24,362)( 25,117)( 27,209)( 28,145)( 29, 49)( 30,381)( 31,249) 1962 ( 32,328)( 33,256)( 35,410)( 36, 46)( 37,290)( 38,370)( 39,148) 1963 ( 41,172)( 42,152)( 43,240)( 44,367)( 45,190)( 47,112)( 48,265) 1964 ( 50,220)( 51,295)( 52,263)( 53,487)( 54,157)( 57,279)( 58,369) 1965 ( 59,324)( 60, 64)( 61,299)( 62,468)( 63,335)( 65,392)( 66, 94) 1966 ( 67,284)( 69,123)( 70,305)( 71,115)( 72, 78)( 73,469)( 74,258) 1967 ( 75,215)( 76,171)( 77,270)( 79,406)( 80,203)( 81,144)( 82,386) 1968 ( 83,167)( 84,446)( 85,447)( 86,309)( 87,237)( 88,486)( 89,400) 1969 ( 90,382)( 91,300)( 92,343)( 93,198)( 95,372)( 96,322)( 97,287) 1970 ( 99,303)(100,409)(101,235)(102,221)(103,432)(105,346)(106,150) 1971 (108,306)(109,169)(110,475)(111,420)(113,408)(114,463)(116,435) 1972 (118,351)(119,231)(120,219)(121,399)(122,342)(124,390)(125,436) 1973 (126,441)(127,191)(128,313)(129,291)(130,176)(131,485)(132,479) 1974 (133,336)(134,296)(135,467)(136,334)(137,261)(140,366)(142,431) 1975 (146,320)(149,301)(151,403)(153,228)(154,445)(155,337)(156,427) 1976 (159,464)(160,327)(162,352)(163,331)(164,394)(166,282)(168,294) 1977 (170,340)(173,404)(174,278)(175,184)(177,357)(181,257)(182,373) 1978 (183,297)(185,473)(186,477)(187,206)(188,437)(189,283)(192,276) 1979 (193,440)(194,213)(195,339)(197,474)(199,492)(200,401)(202,489) 1980 (204,360)(205,488)(208,443)(210,316)(212,323)(214,329)(216,415) 1981 (222,480)(223,458)(224,407)(225,402)(226,478)(227,318)(229,397) 1982 (230,414)(232,349)(233,462)(234,491)(236,341)(238,312)(241,356) 1983 (242,347)(243,374)(244,293)(245,277)(246,438)(247,494)(248,495) 1984 (250,434)(253,493)(255,455)(262,490)(264,457)(266,385)(267,298) 1985 (269,472)(271,310)(272,419)(273,281)(274,466)(275,442)(280,308) 1986 (285,286)(289,424)(311,470)(319,460)(321,418)(325,439)(326,422) 1987 (330,405)(332,348)(333,358)(338,411)(345,482)(350,375)(354,425) 1988 (355,428)(359,433)(361,364)(368,393)(378,451)(379,426)(383,449) 1989 (384,444)(387,412)(388,471)(389,396)(395,429)(398,413)(416,452) 1990 (421,450)(423,476)(430,454)(456,459)(483,484), 1991 ( 1,418,223)( 2,128,202)( 3,403,251)( 4, 88,237)( 5,410,245) 1992 ( 6,290,414)( 7,348, 57)( 8,277,445)( 9,236, 56)( 10,137, 40) 1993 ( 11,324,419)( 12,102,193)( 13,330,239)( 14,326,404)( 15,291,200) 1994 ( 16, 81,345)( 17, 90, 44)( 18,462,422)( 19,132,259)( 20,380,165) 1995 ( 21,197, 63)( 22,425, 62)( 23,382,374)( 24, 53,172)( 25,340,230) 1996 ( 26,134,135)( 27,433,217)( 28,267,216)( 29,354, 70)( 30,421,207) 1997 ( 31,225,275)( 32,201,143)( 33,104,347)( 34,264,141)( 35,342,415) 1998 ( 36,228,101)( 37,301,470)( 38,158,240)( 39, 85,490)( 41,316,376) 1999 ( 42,434,359)( 43,182,177)( 45,480, 46)( 47,163,233)( 48,338,148) 2000 ( 49,155,427)( 50,244,168)( 51,457,310)( 52,396,122)( 54,417,319) 2001 ( 55,162,297)( 58,123,357)( 59,346,405)( 60,353,166)( 61,388,218) 2002 ( 64, 65,358)( 66,117,302)( 67,238,407)( 68,436,273)( 69,454,312) 2003 ( 71,281,438)( 72,181, 95)( 73,294, 84)( 74,385,167)( 75,231,349) 2004 ( 76,209,466)( 77,287,479)( 78,355,222)( 79,204,298)( 80,227,103) 2005 ( 82,106, 83)( 86,311,296)( 87,369,206)( 89,152,229)( 91,430,439) 2006 ( 92,475,394)( 93,368,161)( 94,159,293)( 96,372,258)( 97,373,114) 2007 ( 98,150,478)( 99,471,391)(100,483,366)(105,221,429)(107,331,194) 2008 (108,440,332)(109,481,492)(110,252,411)(111,241,149)(112,203,448) 2009 (113,442,474)(115,408,377)(116,210,276)(118,266,292)(119,160,363) 2010 (120,314,469)(121,250,249)(124,256,465)(125,171,260)(126,232,379) 2011 (127,486,189)(129,356,450)(130,286,451)(131,435,452)(133,195,322) 2012 (136,420,468)(138,300,278)(139,406,325)(140,384,431)(142,495,234) 2013 (144,395,489)(145,361,456)(146,255,211)(147,337,243)(151,476,467) 2014 (153,482,371)(154,175,491)(156,247,224)(157,459,192)(164,246,362) 2015 (169,343,387)(170,339,269)(173,390,327)(174,279,334)(176,424,188) 2016 (178,220,428)(179,329,323)(180,375,308)(183,455,335)(184,472,274) 2017 (185,191,242)(186,409,399)(187,198,262)(190,199,386)(196,360,473) 2018 (205,213,248)(208,447,235)(212,306,393)(214,270,328)(215,485,397) 2019 (219,253,317)(226,381,282)(254,493,271)(257,321,488)(261,487,336) 2020 (263,446,307)(265,392,477)(268,351,458)(272,416,383)(280,315,389) 2021 (283,289,365)(284,313,402)(285,350,413)(288,318,453)(295,370,400) 2022 (299,398,464)(303,320,432)(304,460,333)(305,444,426)(309,463,344) 2023 (341,352,423)(364,437,441)(367,378,401)(412,443,494)(449,484,461) ] ], 2024[ 6, 190080, 0, "2", 2025 [ [ 24, 1 ], [ 16, 1 ], [ 192, 1 ], [ 6, 1 ], [ 96, 2 ], [ 64, 1 ] ], 1, 2026 "M_12.2", [ "Spor", "M(12)", 1 ], 2027 [ ( 1, 65)( 2,390)( 3,121)( 4,303)( 5,353)( 6,179)( 7,422)( 8, 61) 2028 ( 9,161)( 10,446)( 11,209)( 12, 42)( 13, 14)( 15,310)( 16,348) 2029 ( 17,118)( 18,116)( 19,472)( 20,170)( 21,375)( 22, 24)( 23,296) 2030 ( 25,477)( 26,257)( 27,305)( 29,337)( 30,407)( 31,433)( 32, 99) 2031 ( 33,467)( 34,208)( 35,119)( 36,137)( 37,362)( 38,453)( 39, 95) 2032 ( 40, 43)( 41,230)( 44,235)( 45,229)( 46,200)( 47,267)( 48,242) 2033 ( 49,171)( 50,365)( 51,288)( 52,437)( 53,222)( 54,155)( 55,181) 2034 ( 56, 92)( 57,335)( 58,468)( 59,464)( 60,330)( 62, 63)( 64,469) 2035 ( 66,272)( 67,366)( 68,319)( 69,445)( 70,145)( 71,253)( 72,139) 2036 ( 73,231)( 74,411)( 75, 82)( 76, 98)( 77,146)( 78,313)( 79,480) 2037 ( 80,360)( 81,331)( 83,148)( 84,289)( 85,473)( 86,393)( 87,386) 2038 ( 88,283)( 89,227)( 90,326)( 91,338)( 93,194)( 94,100)( 96,275) 2039 ( 97,430)(101,347)(102,271)(103,329)(104,180)(105,392)(106,436) 2040 (107,115)(108,176)(109,344)(110,491)(111,297)(112,429)(113,254) 2041 (114,198)(117,199)(120,193)(122,426)(123,132)(124,240)(125,141) 2042 (126,284)(127,443)(128,142)(129,228)(130,307)(131,492)(133,190) 2043 (134,315)(135,317)(136,474)(138,475)(140,236)(143,435)(144,423) 2044 (147,456)(149,165)(150,486)(151,398)(152,434)(153,451)(154,279) 2045 (157,417)(158,232)(159,320)(160,357)(162,484)(163,246)(164,248) 2046 (166,494)(167,376)(168,282)(169,414)(172,391)(173,358)(174,252) 2047 (175,318)(177,234)(178,189)(182,263)(183,418)(184,369)(185,214) 2048 (186,256)(187,354)(188,312)(192,328)(195,221)(196,487)(197,339) 2049 (201,316)(202,462)(203,269)(204,212)(205,352)(206,495)(207,244) 2050 (210,388)(211,332)(213,273)(215,277)(216,349)(217,381)(218,465) 2051 (219,363)(220,294)(223,380)(224,361)(225,444)(226,260)(233,243) 2052 (237,292)(238,270)(239,247)(241,461)(245,304)(249,300)(250,399) 2053 (251,278)(255,334)(258,262)(259,397)(261,370)(264,395)(265,322) 2054 (266,447)(268,481)(274,425)(276,374)(280,321)(281,457)(285,323) 2055 (286,302)(287,389)(290,382)(291,383)(295,346)(298,379)(299,485) 2056 (301,419)(306,493)(308,309)(311,367)(314,327)(324,333)(325,402) 2057 (336,408)(340,440)(341,412)(342,463)(343,431)(345,377)(350,458) 2058 (351,438)(355,424)(356,452)(359,450)(364,459)(368,378)(371,401) 2059 (372,489)(373,404)(384,415)(385,394)(387,405)(396,470)(400,479) 2060 (403,482)(406,448)(409,476)(410,441)(413,455)(416,471)(420,449) 2061 (421,483)(427,478)(428,439)(432,466)(442,454)(488,490), 2062 ( 1,131, 71)( 2,367, 84)( 3,203,244)( 4,233, 56)( 5,117,461) 2063 ( 6,450,249)( 7,354,434)( 8,380,415)( 9,330,294)( 10,454,210) 2064 ( 11, 78,449)( 12, 63, 95)( 13,396,112)( 14,247,383)( 15,351, 48) 2065 ( 16,468,357)( 17, 42,108)( 18,266,455)( 19, 87,444)( 20,290,336) 2066 ( 21, 38,359)( 22,459,256)( 23,281,370)( 24,382,160)( 25,371,158) 2067 ( 26,369,148)( 27,118, 59)( 28,420,113)( 29,181,405)( 30, 44, 39) 2068 ( 31,310,493)( 32,125,163)( 33,213,414)( 34,198,409)( 35,115, 66) 2069 ( 36,135,261)( 37,373,399)( 40,314,147)( 41,288, 70)( 43,107,208) 2070 ( 45, 82,492)( 46,428,173)( 47,136, 93)( 49,344,325)( 50,477, 88) 2071 ( 51,130,451)( 52,124,321)( 53,111,212)( 54,313,138)( 55,171,427) 2072 ( 57,460,184)( 58,446,381)( 60,255,215)( 61,300,338)( 62,191,303) 2073 ( 64,475,218)( 65,356,229)( 67,445,347)( 68, 72,332)( 69,360,276) 2074 ( 73,123,162)( 74,241,132)( 75,385,110)( 76,156,161)( 77,387,170) 2075 ( 79,452,402)( 80,234,144)( 81,401,293)( 83,323,145)( 85,292,230) 2076 ( 86,363,126)( 89,411,248)( 90,197,346)( 91,267,495)( 92,308,486) 2077 ( 94,485,246)( 96,378,470)( 97,479,392)( 98,376,462)( 99,174,177) 2078 (100,334,389)(101,120,319)(102,453,150)(103,406,262)(104,410,438) 2079 (105,429,327)(106,221,315)(109,331,366)(114,202,350)(116,152,277) 2080 (119,291,259)(121,388,133)(122,467,404)(127,317,278)(128,448,157) 2081 (129,180,231)(134,284,149)(137,342,355)(139,185,187)(140,436,286) 2082 (141,226,142)(143,441,309)(146,488,489)(151,289,166)(153,422,304) 2083 (154,296,394)(155,403,236)(159,425,326)(164,301,242)(165,458,245) 2084 (167,408,487)(168,257,439)(169,285,328)(172,252,305)(175,219,222) 2085 (176,349,311)(178,391,179)(182,481,471)(183,340,193)(186,364,343) 2086 (188,324,377)(189,418,484)(190,238,374)(192,272,352)(194,456,447) 2087 (195,268,407)(196,253,358)(199,426,312)(200,491,302)(201,224,339) 2088 (204,469,419)(205,393,375)(206,417,473)(207,494,348)(209,437,265) 2089 (211,307,216)(214,263,283)(217,478,431)(220,280,361)(223,306,435) 2090 (225,482,490)(227,465,251)(228,250,464)(232,295,322)(235,279,480) 2091 (237,372,442)(239,260,365)(240,254,443)(243,379,386)(258,287,397) 2092 (264,270,297)(269,476,353)(271,421,333)(273,318,433)(274,472,316) 2093 (275,335,384)(282,413,341)(298,299,400)(320,463,368)(329,483,390) 2094 (337,398,424)(345,416,432)(362,395,474)(412,457,440)(423,466,430) ] ], 2095[ 7, 239500800, 1, "2", [ [ 168, 1 ], [ 70, 1 ], [ 224, 1 ], [ 32, 1 ] ], 1, 2096 "Alt(12)", [ "A", 12, 1 ], 2097 [ ( 1, 2, 4, 7, 11, 16, 24, 36, 55, 82)( 3, 5, 8, 13, 20, 29, 44, 66, 2098 98,143)( 6, 10, 14, 21, 31, 47, 71,106,144,206)( 9, 15, 23, 34, 51, 2099 77,114,166,228,292)( 12, 18, 27, 41, 62, 92,133,193,257,325) 2100 ( 17, 25, 38, 58, 86,125,181,246,313,197)( 19, 28, 42, 63, 93,135,194, 2101 258,326,388)( 22, 33, 49, 73,109,158,221,283,346,409) 2102 ( 26, 40, 61, 91,126,183,129,188,252,262)( 30, 46, 69,103,151, 59, 88, 2103 128,186,248)( 32, 48, 72,107,154,217,170,234,299,363) 2104 ( 35, 53, 80,119, 90,131,190,254,320,383)( 37, 56, 83,122,176,240,304, 2105 291,215,281)( 39, 60, 89,130,189,253,319,382,439,476) 2106 ( 43, 65, 96,140,165,227,290,352, 94,137)( 45, 68,101,148,212,279,343, 2107 406,455,486)( 50, 75,112,163,224,288,351,415,464,423) 2108 ( 52, 78,116,169,232,296,358,187,250,316)( 54, 81,120,173,132,192,255, 2109 322,364,424)( 57, 85,123,178,243,309,368,353,152,214) 2110 ( 64, 95,138,198,263,329,391,446,481,483)( 67,100,146,209,241,306,370, 2111 428,469,219)( 70,104,153,115,167,229,293,354,371,430) 2112 ( 74,110,160,223,286,349,413,462,315,201)( 76,113,164,225,289,328,390, 2113 445,480,467)( 79,118,172,236,297,360,419,251,317,380) 2114 ( 84,124,180,245,311,377,182, 87,127,185)( 97,141,202,268,333,277,341, 2115 376,436,474)( 99,145,208,274,338,402,451,305,369,161) 2116 (102,149,213,280,344,407,456,429,157,220)(105,155,218,168,231,294,356, 2117 416,431,471)(108,156,150,159,222,284,347,410,459,470) 2118 (111,162,147,211,278,312,378,437,249,267)(117,171,235,300,365,425,355, 2119 417,433,473)(121,175,238,203,270)(134,195,260,327,389,444,465,493, 2120 387,443)(136,196,261,230,295,357,418,438,475,318)(139,199,264,330, 2121 339,374,434,472,303,367)(142,204,271,334,397,210,276,340,403,452) 2122 (174,237,301,366,426,468,411,460,489,494)(177,242,307,372,396,287,350, 2123 414,463,492)(179,244,310,375,435,259,233,298,362,422) 2124 (184,247,191,256,324,386,442,479,359,420)(200,266,331,393,275,308,373, 2125 432,239,302)(205,272,336,400,449,314,379,265,332,395) 2126 (207,273,337,401,450,482,440,477,398,448)(216,282,345,408,458,488,457, 2127 487,427,226)(269,335,399,285,348,412,461,490,491,381) 2128 (321,384,441,478,394,447,342,405,454,485)(323,385,361,421,466) 2129 (392,404,453,484,495), ( 1, 3, 6)( 5, 9, 10)( 7, 12, 19) 2130 ( 8, 14, 22)( 11, 17, 26)( 13, 21, 32)( 18, 28, 43)( 20, 30, 31) 2131 ( 23, 35, 54)( 24, 37, 57)( 25, 39, 40)( 27, 42, 64)( 29, 45, 47) 2132 ( 33, 50, 76)( 34, 52, 79)( 38, 59, 61)( 41, 63, 94)( 44, 67, 71) 2133 ( 46, 70,105)( 49, 74,111)( 53, 81,121)( 56, 84, 85)( 58, 87, 91) 2134 ( 60, 90,132)( 62, 93,136)( 65, 97,142)( 66, 99,106)( 68,102,150) 2135 ( 72,108,157)( 75,113,165)( 77,115,168)( 78,117,118)( 80,120,174) 2136 ( 83,123,179)( 86,126,184)( 88,129,181)( 92,134,135)( 95,139,200) 2137 ( 98,144,207)(100,147,160)(103,152,215)(104,154,155)(109,159,149) 2138 (110,161,162)(112,164,226)(116,170,172)(119,173,151)(122,177,178) 2139 (125,182,183)(128,187,251)(131,191,192)(133,194,259)(137,197,262) 2140 (140,201,267)(141,203,204)(143,205,206)(146,210,277)(153,216,218) 2141 (156,219,220)(163,225,217)(167,230,231)(169,233,236)(171,224,289) 2142 (175,239,303)(176,241,243)(186,249,315)(188,246,314)(190,255,323) 2143 (193,258,234)(199,265,266)(202,269,271)(209,275,339)(211,223,287) 2144 (213,222,285)(214,281,237)(227,291,353)(229,294,253)(232,297,361) 2145 (240,305,309)(242,308,374)(245,312,349)(250,317,381)(252,318,313) 2146 (254,321,322)(257,326,384)(260,328,288)(264,331,394)(268,334,398) 2147 (270,316,380)(276,341,404)(278,342,286)(280,329,284)(293,355,356) 2148 (296,359,360)(299,364,320)(302,352,367)(304,368,427)(306,371,431) 2149 (310,376,340)(325,387,388)(330,392,393)(333,396,397)(344,347,411) 2150 (351,390,386)(354,416,451)(358,419,449)(363,423,467)(370,429,470) 2151 (373,433,434)(378,438,413)(383,440,424)(403,436,439)(407,457,410) 2152 (415,465,445)(430,471,486)(432,472,494)(437,462,491)(452,483,474) 2153 (455,456,459)(464,480,482) ] ], 2154[ 8, 479001600, 0, "2", [ [ 168, 1 ], [ 70, 1 ], [ 224, 1 ], [ 32, 1 ] ], 1, 2155 "Sym(12)", [ "A", 12, 1 ], 2156 [ ( 1, 2, 4, 7, 10, 15, 23, 33, 45, 59, 76, 98)( 3, 6, 9, 14, 21, 30, 2157 42, 55, 72, 92,121,156)( 5, 8, 12, 18, 26, 37, 49, 65, 84,110,143, 2158 178)( 11, 17, 25, 36, 48, 64, 82,108,140,175,216,257) 2159 ( 13, 20, 29, 40, 53, 69)( 16, 24, 34, 46, 61, 78,102,132,165,204,244, 2160 286)( 19, 28, 39, 52, 68, 89,116,151,187,225,258,303) 2161 ( 22, 32, 44, 58, 75, 97,127,138,173,213,254,299)( 27, 38, 50, 66, 86, 2162 112,101,131,164,203,243,284)( 31, 43, 56, 73, 94,123,157,195,205,245, 2163 287,325)( 35, 47, 62, 80,104,135,169,208,249,292,331,365) 2164 ( 41, 54, 70, 90,118,152,145,181,219,261,285,117)( 51, 67, 87,114,147, 2165 134,168,207,248,291,329,363)( 57, 74, 95,125,159,196,234,250,293,332, 2166 366,394)( 60, 77,100,129,163,201,240,269,310,346,379,305) 2167 ( 63, 81,106,137,172,212,253,297,336,371,399,424)( 71, 91,119,154,190, 2168 183,222,264,306,330,364,392)( 79,103,133,166,206,246,288,326,347,380, 2169 407,130)( 83,109,142,176,210,153,189,227,268,309,345,361) 2170 ( 85,111,144,179,217,241)( 88,115,149,185,171,211,252,296,335,369,397, 2171 421)( 93,122,148,184,202,242,283,324,359,390,417,260) 2172 ( 96,126,161,198,237,279,298,337,372,400,425,443)( 99,105,136,170,209, 2173 251,294,333,367,395,408,128)(107,139,174,215,256,301,340,375,403,428, 2174 446,462)(113,146,182,220,262,289,327,360,180,218,259,167) 2175 (120,155,192,230,223,265,307,343,370,398,422,441)(124,158,191,229,247, 2176 290,328,362,391,418,438,177)(141,160,197,236,277,295,334,368,396,420, 2177 439,456)(150,186,224,214,255,300,339,374,402,427,445,461) 2178 (162,200,239,282,322,341,376,404,429,447,463,472)(188,226,266,278,317, 2179 228,270,311,348,381,393,419)(193,231,272,194,232,273,313,350,383,410, 2180 431,449)(199,238,281,320,338,373,401,426,444,460,469,477) 2181 (221,263,304)(233,274,314,351,384,411,432,450,464,344,378,406) 2182 (235,276,271,312,349,382,409,423,442,458,267,308)(275,315,352,385,412, 2183 433,451,465,473,481,486,490)(280,319,316,353,386,413,434,452,459,471, 2184 479,484)(302,342,377,405,430,448,440,457,470,478,321,356) 2185 (318,354,387,414,435,453,466,474,482,487,491,493)(323,358,355,388,415, 2186 436,454,467,475,480,485,489)(357,389,416,437,455,468,476,483,488,492, 2187 494,495), ( 1, 3)( 2, 5)( 7, 11)( 8, 13)( 10, 16)( 12, 19) 2188 ( 14, 22)( 18, 27)( 21, 31)( 24, 35)( 29, 41)( 38, 51)( 43, 57) 2189 ( 45, 60)( 47, 63)( 54, 71)( 61, 79)( 64, 83)( 65, 85)( 67, 88) 2190 ( 72, 93)( 74, 96)( 76, 99)( 77,101)( 80,105)( 81,107)( 86,113) 2191 ( 89,117)( 91,120)( 94,124)( 97,128)(100,130)(102,122)(103,134) 2192 (106,138)(108,141)(109,110)(111,145)(114,148)(115,150)(118,153) 2193 (121,149)(125,160)(126,162)(133,167)(135,158)(136,171)(142,177) 2194 (144,180)(146,183)(151,188)(154,191)(155,193)(156,194)(157,192) 2195 (161,199)(163,202)(165,205)(170,210)(172,197)(173,214)(175,213) 2196 (182,221)(184,223)(189,228)(195,233)(196,235)(201,241)(203,204) 2197 (206,247)(208,250)(215,238)(216,258)(218,260)(226,267)(227,269) 2198 (229,271)(234,275)(236,278)(237,280)(243,285)(246,289)(248,249) 2199 (251,295)(253,298)(257,302)(263,305)(277,316)(279,318)(281,321) 2200 (282,323)(291,330)(294,324)(296,297)(299,338)(301,341)(308,344) 2201 (310,347)(320,355)(322,357)(327,361)(335,370)(339,340)(350,374) 2202 (359,391)(364,393)(380,408)(383,411)(398,423)(418,439)(419,440) 2203 (432,451)(442,459)(456,469)(465,474)(470,479)(471,480)(481,484) 2204 (482,488)(487,489) ] ], 2205[9, Factorial(495)/2,1,"2",[[494,1]],493, "Alt(495)", ["A",495, 1], "Alt"], 2206[10, Factorial(495),0,"2",[[494, 1]],495, "Sym(495)", ["A",495, 1], "Sym"]]; 2207PRIMGRP[496]:= 2208[[ 1, 14880, 1, "2", [ [ 30, 9 ], [ 15, 15 ] ], 1, "PSL(2, 31)", 2209 [ "L", [ 2, 31 ], 1 ], 2210 [ ( 1,477,186,338)( 2, 50,150,345)( 3,294,248,223)( 4,421,472,250) 2211 ( 5,192, 6, 35)( 7,437,137,344)( 8,162,230,457)( 9, 51,242,237) 2212 ( 10,259,361,420)( 11,251,428,216)( 12,220,121,255)( 13,435,416,331) 2213 ( 14,265,112,373)( 15,119,442,284)( 16,232,285,157)( 17,469, 61,231) 2214 ( 18,295)( 19,108,155,132)( 20,235, 70,144)( 21,139,468,333) 2215 ( 22, 78,253,138)( 23,387,215,254)( 24,168,247,432)( 25,397,298, 86) 2216 ( 26,485,482,398)( 27,475,148,316)( 28,406,433,110)( 29, 56,332,467) 2217 ( 30, 46,227, 74)( 31,238,339,174)( 32,337,102,312)( 33,211,258,449) 2218 ( 34,203,479, 55)( 36,379,412,206)( 37,399,171,278)( 38,471,413, 95) 2219 ( 39,131,327,201)( 40,328)( 41, 82,130,136)( 42, 43,408,305) 2220 ( 44,262,461,474)( 45,494,125,213)( 47,310,289,458)( 48,128, 73,309) 2221 ( 49,225,365,164)( 52,451, 96,172)( 53,140,487, 89)( 54,272, 65,495) 2222 ( 57,177, 99, 94)( 58,107,362,288)( 59,142,492,353)( 60,314,320,383) 2223 ( 62,280,229,240)( 63,167,103,401)( 64,419,290,348)( 66,429,448,366) 2224 ( 67,281,166,120)( 68,218,465,274)( 69,189,191,409)( 71,394,478,181) 2225 ( 72,118,444,264)( 75, 79,219,217)( 76,202, 98,374)( 77, 93,460,434) 2226 ( 80,124,418,391)( 81,431,380, 87)( 83,293,156,341)( 84,221,287,190) 2227 ( 85,392,226,141)( 88,129,411,329)( 90,352,357,292)( 91,283,381,384) 2228 ( 92,145,400,161)( 97,106,143,104)(100,414,279,282)(101,370)(105,175) 2229 (109,377,396,417)(111,188,318,349)(113,277,473,179)(114,445,234,154) 2230 (115,205,452,241)(116,243,296,441)(117,300,496,439)(122,476,268,244) 2231 (123,455,257,430)(126,488,335,484)(127,263)(133,195,342,334) 2232 (134,360,347,486)(135,447,249,198)(146,170,245,306)(147,371,269,340) 2233 (149,165,273,386)(151,204,301,236)(152,315,197,423)(153,443,271,212) 2234 (158,323,459,275)(159,372,196,453)(160,343,194,450)(163,308) 2235 (169,200,180,378)(173,355,382,375)(176,246,427,209)(178,184,304,483) 2236 (182,390,403,325)(183,224,267,363)(185,228,321,311)(187,199,454,210) 2237 (193,260,368,364)(207,303,388,493)(208,405,491,350)(214,256,297,464) 2238 (222,425,359,307)(233,266,276,446)(239,410)(252,424,440,389)(261,324) 2239 (270,385,490,313)(286,358,317,481)(291,426,326,463)(299,393,356,404) 2240 (302,346,456,407)(319,489,462,369)(322,466,376,336)(330,351,422,415) 2241 (354,395,402,367)(436,470,438,480), 2242 ( 1,293, 60,105,286,206,478, 12,253,138,207,337,145,358,263) 2243 ( 2,471,333,183, 97,192,275,467, 20,281,210,357,468,282,356) 2244 ( 3,326,424, 68, 98,373,319,240,191,374,222, 80,449, 42, 56) 2245 ( 4,229,121,383,211,494,440,412,400,104,228,120,477,388,404) 2246 ( 5,312,280,456,322, 50, 83, 67,296, 15,418,102,106,173, 53) 2247 ( 6,398,273,124,406,462,231, 19,150,237,454,208,431,426,230) 2248 ( 7,259,274,125, 69,154,372, 43,472,144, 54,249,414,185,224) 2249 ( 8,190,122,419,153,242, 30,360,142,247,433, 77,151,113,172) 2250 ( 9, 90,305,325,362, 51,112,409,382,376,162,294,267,395,480) 2251 ( 10,174,251,277,129,198,328,300,486,435, 65, 49,377, 64,103) 2252 ( 11, 94, 85, 75, 27,396,450,203,439,318,444,232,257,201,128) 2253 ( 13,205,189,233,100,411,415,218,385,408,483, 63, 70,384,363) 2254 ( 14,159,368,163,470,323,361,136,245,487,307,445,246, 66,335) 2255 ( 16,219, 84,187, 36,160,118,271,291,320,226,417, 74,345,493) 2256 ( 17,389,270,302,170, 87,393,266,390,308,350,166,313,147,429) 2257 ( 18,298,241,332, 88,397,261,331, 21,401,474,461,178,202,330) 2258 ( 22,215,175,194,141,481,254,317, 57,430,127, 23, 78, 55,157) 2259 ( 24,438,126, 52,378,287,336,442,227,334, 93,140, 58,212,256) 2260 ( 25,473,214,290,324,295,236,133,268, 86, 44,347,200, 59,262) 2261 ( 26, 32,491,364,289,149,181, 81,171,423, 61,341,108,130,209) 2262 ( 28,119,407,465,459,457,488,371,279,413,110, 89,243,235,359) 2263 ( 29,196, 82,260,114, 76,137,278,427,420,139,447, 47,152,495) 2264 ( 31,193,155,161,285,164,315,482,338,123, 40,399,405,303, 99) 2265 ( 33,156,369,484,402,299, 71,463,107,340,252,394,199,436,403) 2266 ( 34,379,469,310,238,392,255,165,176,410,343,314,380, 41,365) 2267 ( 35,460,117,455, 92,391, 96,428,479,220,489,432,327,177,186) 2268 ( 37,135,292,288,306,197,344,248,284,370,458,272, 38,466,366) 2269 ( 39,225,453,422,353, 72,239,234,452,244,217,339,437,184,204) 2270 ( 45,381,250,367,346,421,490,321,116,355,213,276,311,269,182) 2271 ( 46,223,115,134,148,451,425,167,476,188,434, 95,416,348,475) 2272 ( 48,301,351,265,443,349,179,304,352,221,309,492,329,158,168) 2273 ( 62,485,146,354, 91,143,132,448,375,283,258,386,101,441,446) 2274 ( 73,169,496,216,464,111,195, 79,264,180,316,342,109,131,297) ] ], 2275[ 2, 29760, 0, "2", [ [ 60, 1 ], [ 30, 14 ], [ 15, 1 ] ], 1, "PGL(2, 31)", 2276 [ "L", [ 2, 31 ], 1 ], 2277 [ ( 1, 2, 6, 29,126,381,175,147,305,251,445,250,387,269,370,422,488,485, 2278 194,182,256,427,231, 56,207,359,493, 26,117,376)( 3, 12, 57,237,174, 2279 335,278,484,206,106,196,344,353,431, 78,105,356,303,221,270, 55,228, 2280 28,124,382,388,317,101,348,365)( 4, 11, 54,224,232,400,275,304,100, 2281 346,345,176, 67,268,132,394, 24,108,364,438,322,390, 86,107,285,455, 2282 276,483, 46,191)( 5, 23,104,299,432,471,465,478,286, 51, 42,160,418, 2283 404,430, 33,146,145, 37,164,439, 17, 81,171,446, 75,165,323,358,313) 2284 ( 7, 35,156,149,315,155,210,211, 98,343,255, 61, 53,219,144,184,318, 2285 38, 62,254,311, 43,180,274,367,157,429,245, 85,300)( 8, 34,152,109, 2286 328,395,177,452,292,131,125,372,111,163,377,187,110,204,195,139,405, 2287 142, 20, 88,329, 66,248,434,474,319)( 9, 44,183,263,222,261,227, 21, 2288 97,337, 80,133,279,148,415,118,368,352, 87, 10, 49,201,244, 72,283, 2289 475,288,489,385,265)( 13, 63,257,193,137,121,362,168,271,486,326, 15, 2290 71,282,437,220,476,459,440, 82,314,128,233,363,321,185, 74, 92,249, 2291 116)( 14, 64,151,338,402,481,235,464,115,375,361, 84, 45,186,366,393, 2292 349,297,162, 22,102,238, 77,234,197,399,454,114,208,379) 2293 ( 16, 76,296, 58,241,340,494,414,383, 83,178,378,463,260,460,467,236, 2294 30,130,392, 19, 89,331,267,230,482,491,122,347,240)( 18, 52,213,325, 2295 103,351,384,252, 50,205,451,239,457,421,212,330,425, 73,246,350,458, 2296 47, 93,336,447,307, 91,284,216,301)( 25,113,302,127,386,433,214, 59, 2297 170, 27,120,179, 65,264,413,453,154, 94,218,444, 69,277,480,316,217, 2298 223,477,203,258,324)( 31,135,396,259,229,416,391,495,496,466,355,119, 2299 40, 32,140,134,143,407,215,150,419,401,411,312,293,441,225,281,192, 2300 428)( 36, 68,273,190,435,492,333,369, 99,243,290, 79,306,253, 60,159, 2301 342,262,294, 41,173,449, 95,339,360,406,357,327,479,291) 2302 ( 39,167,442,461,371,468,153,424, 90,332,334, 48,198,462,398) 2303 ( 70, 96,341,166,266,247,298,280,410,423,199,295,200,456,181,161,436, 2304 202,172,448,354,289,226,189,158,123,272,487,310,188)(112,308,443,287, 2305 209,469,409,490,136,169,420,417,309,412,472,450,470,380,320,374,373, 2306 129,389,138,403,408,397,242,426,141), 2307 ( 1, 3, 13)( 2, 7, 36)( 4, 18, 23)( 5, 24,109)( 6, 30,131) 2308 ( 8, 40,169)( 9, 45,187)( 10, 50,206)( 11, 19, 90)( 12, 58,128) 2309 ( 14, 67,269)( 15, 72, 87)( 16, 77,299)( 17, 79,307)( 20, 94,337) 2310 ( 21, 98,164)( 22,103,167)( 25,114,249)( 26,118,284)( 27,121, 89) 2311 ( 28,125,124)( 29,127,266)( 31,136,130)( 32,141,235)( 33,147,413) 2312 ( 34,153,356)( 35, 39,168)( 37,165,272)( 38,166,375)( 41,174,197) 2313 ( 42,177, 71)( 43,181,392)( 44, 68,274)( 46,192,417)( 47,194,236) 2314 ( 48, 53,220)( 49,202, 76)( 51,210,228)( 52,214,367)( 54,208,399) 2315 ( 55,229,443)( 56,233,105)( 57,144,394)( 59,143,409)( 60,248,351) 2316 ( 61,251,292)( 62, 93,157)( 63,178, 78)( 64,260,160)( 65,149,176) 2317 ( 69,106,360)( 70,226,478)( 73,288,493)( 74,291,327)( 75,155,222) 2318 ( 80,311,406)( 81,264,480)( 82,315,238)( 83,318,163)( 84,133,395) 2319 ( 85,312,408)( 86,234,445)( 88,115,170)( 91,335,113)( 92,150,420) 2320 ( 95,340,120)( 96,342,346)( 97,100,347)( 99,305,102)(101,349,341) 2321 (104,353,414)(107,255,316)(108,216,425)(110,199,213)(111,370,156) 2322 (112,258,355)(116,286,243)(117,119,380)(122,381,336)(123,368,348) 2323 (126,268,270)(129,146,411)(132,217,352)(134,389,189)(135,397,447) 2324 (137,400,319)(138,184,401)(139,365,468)(140,309,388)(142,191,440) 2325 (145,361,489)(148,207,362)(151,343,193)(152,423,339)(154,298,198) 2326 (158,314,330)(159,171,350)(161,437,345)(162,378,239)(172,302,256) 2327 (173,281,373)(175,446,332)(179,322,283)(180,230,410)(182,317,390) 2328 (183,218,474)(185,391,242)(186,323,415)(188,293,308)(190,456,195) 2329 (196,246,386)(200,328,457)(201,463,247)(203,393,434)(204,364,430) 2330 (205,329,306)(209,405,495)(211,471,382)(212,232,404)(215,472,261) 2331 (219,231,357)(221,354,464)(223,383,435)(224,461,267)(225,374,333) 2332 (227,396,426)(237,418,494)(240,479,460)(241,452,245)(244,484,384) 2333 (250,387,295)(252,486,282)(253,483,304)(254,324,421)(257,310,301) 2334 (259,412,462)(262,465,363)(263,467,276)(265,371,449)(271,280,285) 2335 (273,278,453)(275,416,320)(277,488,313)(279,492,424)(287,297,407) 2336 (289,455,290)(294,338,422)(296,481,325)(300,431,438)(303,475,487) 2337 (321,454,433)(326,377,432)(331,459,477)(334,451,402)(344,369,379) 2338 (358,441,403)(359,428,469)(366,448,429)(372,491,427)(376,385,476) 2339 (398,436,444)(419,450,458)(439,485,442)(466,473,490)(470,482,496) ] ], 2340[ 3, 24815256521932800, 1, "2", [ [ 495, 1 ] ], 2, "PSp(10, 2)", 2341 [ "B", [ 5, 2 ], 1 ], 2342 [ ( 2, 4)( 9, 11)( 13, 15)( 14, 17)( 19, 25)( 23, 30)( 27, 35)( 29, 38) 2343 ( 45, 54)( 46, 48)( 52, 61)( 53, 60)( 56, 66)( 58, 68)( 59, 69) 2344 ( 65, 74)( 67, 77)( 71, 80)( 72, 81)( 73, 83)( 75, 87)( 79, 93) 2345 ( 85,101)( 91,108)( 95,113)( 96,115)( 97,105)( 98,118)( 99,112) 2346 (100,121)(102,116)(103,126)(107,114)(111,136)(117,145)(120,149) 2347 (125,155)(127,153)(131,163)(137,166)(147,182)(148,184)(151,189) 2348 (152,191)(174,210)(176,213)(179,217)(185,190)(187,224)(193,231) 2349 (194,211)(196,234)(201,240)(203,214)(204,243)(219,259)(221,262) 2350 (229,271)(230,273)(233,276)(238,283)(239,284)(242,288)(245,292) 2351 (248,295)(250,296)(256,301)(260,279)(261,307)(264,311)(267,314) 2352 (269,316)(270,318)(272,285)(274,325)(275,291)(277,329)(281,333) 2353 (289,342)(290,343)(294,348)(298,353)(300,355)(308,358)(309,324) 2354 (310,366)(319,369)(323,379)(326,382)(332,387)(335,388)(336,346) 2355 (344,384)(347,397)(352,400)(354,402)(356,404)(362,411)(367,416) 2356 (368,417)(371,420)(372,422)(373,414)(383,430)(394,439)(405,448) 2357 (407,418)(409,451)(421,459)(425,462)(431,442)(433,437)(469,481) 2358 (470,483)(472,485)(473,486)(475,488)(478,489)(487,490)(495,496), 2359 ( 1, 2, 4, 6, 8, 10, 12, 9, 7, 5, 3)( 11, 13, 16, 21, 28, 37, 2360 42, 32, 24, 18, 14)( 15, 19, 26, 34, 44, 53, 56, 47, 36, 27, 20) 2361 ( 17, 22, 29, 39, 49, 58, 60, 51, 41, 31, 23)( 25, 30, 40, 50, 59, 70, 2362 71, 62, 52, 43, 33)( 35, 45, 38, 48, 57, 67, 69, 61, 65, 55, 46) 2363 ( 54, 63, 72, 82, 98,119,122,100, 84, 73, 64)( 66, 75, 88,105,129,161, 2364 162,130,106, 89, 76)( 68, 78, 92,109,134,167,172,138,112, 94, 79) 2365 ( 74, 85, 81, 97,117,146,181,156,125,102, 86)( 77, 90,107,131,164,188, 2366 150,120, 99, 83, 91)( 80, 95,114,141,175,212,216,178,144,116, 96) 2367 ( 87,103,127,159,199,238,239,200,160,128,104)( 93,110,135,168,205,245, 2368 248,208,171,137,111)(101,123,153,193,232,275,277,233,194,154,124) 2369 (108,132,165,203,242,289,291,244,204,166,133)(113,139,173,209,249,295, 2370 298,252,211,174,140)(115,142,176,214,254,300,283,255,215,177,143) 2371 (118,147,183,221,263,225,187,149,186,185,148)(121,151,190,180,145,179, 2372 218,258,230,192,152)(126,157,197,236,281,334,335,282,237,198,158) 2373 (136,169,206,246,293,347,349,294,247,207,170)(155,195,202,163,201,241, 2374 287,332,280,235,196)(182,219,260,306,361,410,413,364,308,261,220) 2375 (184,222,264,312,368,394,344,290,243,265,223)(189,226,268,231,274,326, 2376 383,373,317,269,227)(191,228,270,319,375,424,427,378,322,272,229) 2377 (210,250,213,253,299,354,333,348,352,297,251)(217,256,302,343,393,438, 2378 450,407,358,303,257)(224,266,313,369,418,456,429,381,325,315,267) 2379 (234,278,330,341,288,340,382,428,379,331,279)(240,285,338,366,415,384, 2380 328,276,327,339,286)(259,304,359,408,401,353,397,442,409,360,305) 2381 (262,309,365,414,387,417,380,324,273,323,310)(271,320,376,425,433,388, 2382 355,403,426,377,321)(284,336,389,434,465,471,447,404,435,390,337) 2383 (292,345,395,440,420,458,476,468,441,396,346)(296,350,398,443,469,482, 2384 484,470,444,399,351)(301,356,405,432,386,329,385,431,449,406,357) 2385 (307,362,311,367,316,372,318,374,423,412,363)(314,370,419,457,437,392, 2386 342,391,436,421,371)(400,402,446,451,472,455,416,454,475,462,445) 2387 (411,452,473,487,478,461,422,460,477,474,453)(430,463,479,490,480,467, 2388 439,466,448,459,464)(481,486,492,495,494,489,483,488,493,491,485) ] 2389 ], 2390[ 4, 23499295948800, 1, "2", [ [ 255, 1 ], [ 240, 1 ] ], 1, "O+(10, 2)", 2391 [ "D", [ 5, 2 ], 1 ], 2392 [ ( 1,155,269, 38,449,106,207,154,153,486,242,432)( 2,475,338,167,131,238) 2393 ( 3,286,271,182)( 4,476,234,323,372,317, 10, 47,253, 85,463, 7) 2394 ( 5,289, 62,481,163,389, 78,404,191, 60,334, 20)( 6,392,117,262,467, 2395 489, 35,108,414,377, 50,268)( 8,442,468,212,373,142) 2396 ( 9, 76,418,288,460,380,328,390, 23,396, 18,157)( 11,447,451,352,349, 2397 322)( 12,241,426,448,266,190,236,314,265,103, 99,422) 2398 ( 13,306,410,494,256,134)( 14, 84,244,227,309,336)( 15,496,428, 95, 2399 276,325, 43,304,223,440,403, 30)( 16,402, 32, 33,102, 66, 54,429,255, 2400 72, 75,480)( 17,240,457, 25,202, 93, 28,275,220,235,405,203) 2401 ( 19,132,204,193,120,267)( 21,174,446,137,354, 77,307,251,221,366,454, 2402 168)( 22,433,453,112,274,472,459,173,136,355,245, 48) 2403 ( 24,345, 34,248,178,469,109,357,200,483,471,270)( 26,319,335,277,348, 2404 416,107,249,116,206, 58, 52)( 27,211, 41, 67,351, 64,421,124, 71,230, 2405 91,187)( 29,110,291, 36,162,237, 96,330, 88, 98,312,456) 2406 ( 31,177,333, 51,374,303,424, 92, 86, 70,282,491)( 37,417, 61,188,278, 2407 87,365,226,473,158, 49,300)( 39,165,263,247,208, 44,130,427,114,219, 2408 474,368)( 40,485,394,464, 74,305,101,423,281,437,264, 94) 2409 ( 42,431,430,346,425, 97)( 45,192,308,458,171,487)( 46,229,138, 69, 2410 68,216,284,293,140,121,296,239)( 53,419, 83,479,194,152,272,363,478, 2411 105,141,385)( 55,461,218,186,228,181,379,196,343,279,344,386) 2412 ( 56,100,493,341,477,329,462,376,395,184,484,122)( 57,150,356,375,492, 2413 420,273, 73,408, 79,224,495)( 59, 82,445,299,246,441) 2414 ( 63,215,225,199,143,378,450,261,166,384, 81,413)( 65,398,393,407,327, 2415 435)( 80,125,292,466,123,488,382,170,409,315,470,350)( 89,232,339,214 2416 )( 90,391,443,185,438,159,482,129,316,217,175,415)(104,397,310,210) 2417 (111,401,320,222,439,113)(115,326,254,197,340,135)(118,146,128,321, 2418 364,353,318,313,169,209,412,161)(119,290,383,370,465,260) 2419 (126,294,444,362,332,283)(127,369,342,406,361,233,164,189,358,287,434, 2420 213)(133,156,295,176)(139,399,388,172,250,231)(144,302,387,297,149, 2421 301)(145,324,359,411,311,180)(147,179)(148,259,258,347,201,198) 2422 (151,400)(160,490,371,360)(183,205,381)(195,367,257,337,280,243) 2423 (252,452,285)(298,331), 2424 ( 1,323, 42,184,264,162,376,318,146,226,138,457,295, 12) 2425 ( 2,232,406, 68,178,492, 60)( 3, 49,304,263,282, 40,470) 2426 ( 4,291,488,196,105,369,407,284,425,200,494,120,108, 39) 2427 ( 5,413,174, 21,112, 61,313, 56,145,392,129,151, 13,248) 2428 ( 6,187,458,302, 63,380,386,144, 76,224,316,100,350,372) 2429 ( 7,169, 41,360,427,311,435)( 8, 52,228,491,237,286, 27,374,118,156, 2430 341,229,253,299)( 9,271, 59,114,487,416,463,322,111, 36,347,395,207, 2431 426)( 10,188,306,383,412,436,154, 55,161,296,382,121,317, 74) 2432 ( 11,475, 94,331,288,259,483,272,128,367, 83,197,221, 85) 2433 ( 14,287,289, 25, 58,358,373, 50,359,324, 29,399,484,481) 2434 ( 15,245,477,340,292,496,190,330,430,438,166,208,222,147) 2435 ( 16,277,460, 84,451,402,375)( 17, 79,390,180,444,167,408, 23,119,433, 2436 490,469,216,385)( 18,133,384,342, 86,194,101,243, 87,158,175,235,439, 2437 132)( 19, 37,325,281, 26,102,127,334,423,139,160,182,326,257) 2438 ( 20, 32,198,269, 71, 62,256,212,485,403,327,445,122,471) 2439 ( 22, 34,455,456,240,149,214,332,157,489,351,452,486,309) 2440 ( 24,274,163,315,143,270, 98)( 28,125,205,362,363,442,450, 67,371,368, 2441 137,115,165,236)( 30,432,305,389,103,478, 80)( 31,465, 73, 46,297, 2442 262,231,219,415,238,379, 70,431,361)( 33,387,441,300,247,418, 48,370, 2443 202,123,312,345,230,337)( 35,495,446,204,378,479,320) 2444 ( 38,117,148,459,410,150,349)( 43,177,290,172,155,234,409,185,356,454, 2445 343,220,107,314)( 44, 51,233,244,440,301,130)( 45,453,480,400,249, 2446 405,472)( 47, 75,493,352,285,411,401)( 53,124, 72,201,461,417,134) 2447 ( 54,364,265,307,398,258,308,298, 89,181,242,420,206,106) 2448 ( 57,448, 81, 96,199, 93,466,329,246,280,333,353,468,193) 2449 ( 64,273,255,339,168,303,391,173,191,365, 69,183,140,449) 2450 ( 65, 95, 90,189,250,397,294,319,267,344,251,211,338,136) 2451 ( 66, 97,116,278,217,192,213,131,261,227,388,110,104,126) 2452 ( 77,321,328,275,467,195,437)( 78,346, 91,254,424,113,482,266,209,293, 2453 186,357,464,176)( 82,210,215,283, 88,354,268)( 92,429,170,476,241, 2454 179,135,152,393,394,381,474,428,109)( 99,462)(141,159,153,355,276, 2455 171,279)(142,377,335,421,310,336,434)(164,419,443,366,404,225,239) 2456 (203,396,473,218,260,252,348)(414,447) ] ], 2457[ 5, 46998591897600, 0, "2", [ [ 255, 1 ], [ 240, 1 ] ], 1, "PSO+(10, 2)", 2458 [ "D", [ 5, 2 ], 1 ], 2459 [ ( 1,123,183,203,428, 42,223, 95,132, 68,207,484,443, 89,135,108,426,324, 2460 265,170,373,140,316,462)( 2,472,239,288,404,467,394, 78, 47,441,253, 2461 177,306,476,358,251, 50,289, 44,448, 48, 84,375,206)( 3,154,296,196, 2462 245, 54,139,304, 38,169,470,488,395,158,138,110,300,453,337,489,255, 2463 376,339, 25)( 4,241,407)( 5,280,463,178,393,414,202, 88,199,234, 2464 313,416,103,347,420,413,451,389,282,418,200, 79,305, 70)( 6,215,260) 2465 ( 7,434,254,333,384, 59,361, 20,396,190, 62,281,112,229,238,220, 34, 2466 19,293,117,174,191,422,368)( 8,186,113, 45, 39,364,182, 36,454,250, 2467 352,184,452,412,401,180,354,279,152,341,130,311,322, 98) 2468 ( 9,491, 37,331,133, 69,437,314,278,370,406, 10)( 11,209,312,257, 65, 2469 423,460,259)( 12,268,118,421, 93,243,124,188,142,356, 80,149,116,496, 2470 456, 99,392,359, 67,155,442,269,409,411)( 13,298,228,218,252,363,468, 2471 478,141,151,197,256,205,447,114, 83,267,479,244,343,307,222,126,326) 2472 ( 14,194,105,344,193, 21,419,263)( 15,377,145,262,236,410,214, 22,477, 2473 106,357,309, 71,466,431,315,335,444,187,432, 56,459,270,285) 2474 ( 16, 41,430,104, 26,283,235,490,346,440, 66,318,136, 43,171, 46,276, 2475 362,350,248,388,125,175,237)( 17,433,290,424, 85,297) 2476 ( 18,247,390,321,475,101,383,204,227,201, 76,338,162, 40,168,485,340, 2477 219,320,445, 82,192, 77,494)( 23, 92, 86, 94,405,355,458,471,372,465, 2478 342, 51,291,277,457,146,374,317,148,378,495,439,216, 52) 2479 ( 24,217,172,450,481, 29,323,397,179,225, 28,353)( 27,308,480, 90,100, 2480 345,153,271,107,232,461,402,266,387,438,224,128,469,408,493,403, 64, 2481 330,449)( 30,212,351,230,474, 32,417,122, 72,242, 55,382,240,455,348, 2482 211,272,486,102,181, 57,429,221,292)( 31,464,261,143,398,415, 35,328, 2483 173,176,400,129)( 33,329,226, 87,379,483, 91,436,325,284, 53,492,273, 2484 386, 75,274,446,360, 58,294,275,310,208,482)( 49, 63,115,365,391,134, 2485 213,159,167,189,166,131)( 60,109,302)( 61,150, 96,249,369,147,160, 2486 127,161,334,233,301)( 73,163,231)( 74,137,427,157)( 81,473,336,156, 2487 295,120,185,287,299,210,371,246)( 97,332,144,385,367,381,425,286) 2488 (111,258,165,195,349,366,119,487,264,198,327,380)(121,319,399,164,303, 2489 435), ( 1,485,318,294,242,475,490,404,180, 64,489, 70) 2490 ( 2,438,343,184, 23,267, 5, 95, 15,308, 86,477)( 3,145,150,315,361, 2491 403,244, 38,378,126,433,279)( 4,317,305,111,339,100,258,129, 20,288, 2492 182,447)( 6,495,461, 71,266, 22,148,380,345,410,332,105) 2493 ( 7,415,435,309, 82,446)( 8,154, 61,283,384,122,474,311,358,230,185, 2494 41)( 9,211,219,241,101, 80,190,114,176,460,397, 13)( 10, 50,168,456, 2495 324,391,471,321,407,236,412,297)( 11,239, 35,157, 36,171,216,406,161, 2496 280, 99,479)( 12,255,327, 77,417,436,183,364,467, 63,152,348) 2497 ( 14, 45,439,257,128,226)( 16,256,197,376,389,121,118,276, 89,483,302, 2498 396)( 17, 29,306, 78,469,224,165,445,103,371,113,350) 2499 ( 18, 44,144,426,179,457,120,202,386,330,247,291)( 19, 74,245,418,492, 2500 62)( 21,496,431,174,414,470,232, 39,107,164,260,388)( 24,221,119, 73, 2501 453,229, 51, 26,251,487,402,451)( 25,208,292,372,458,401,478,125,243, 2502 366, 60,428)( 27,246,432,270,382,328, 53,162,359, 72,419,204) 2503 ( 28,191,338, 96)( 30, 87,249,319, 81,217, 68,139, 47,115, 34,301) 2504 ( 31,265,220,374,333,275,494,362,147,134,331,484)( 32,399, 94,112,449, 2505 109)( 33,240, 59,352,363,160)( 37,173, 93,454,443,104) 2506 ( 40,444,448,424,142,282,400,488,295,264,263,394)( 42,146,304,298,423, 2507 377)( 43,421,405,158,341,163,250,337,131,181,274,312) 2508 ( 46,254,486,117,149,108,466,206,408,313,385,326)( 48,462,347,342,300, 2509 143,491,409,137, 65, 66,370)( 49,215)( 52,177,234,434,316,346,261, 2510 238,365,393,187,102)( 54,212,411,259,465,186)( 55,262,222, 76,289, 2511 335,203,271, 91,159,349, 97)( 56,287,463,383,442,299) 2512 ( 57,472,459,320,353,473)( 58,285,360,355,135,189,169,130,151,225,268, 2513 79)( 67,303,482,437,196,205,273,167,155,481,322,325)( 69,286,356,450, 2514 237,207)( 75,253,277,351,390,290,310,201,233,194,231,166) 2515 ( 83,228,132,223)( 84,141,178,127,195,468)( 85,192,392,136, 92,416, 2516 293,375,269,367,278,340)( 88,156)( 90,420, 98)(106,440,138,381) 2517 (110,314,368,140,175,188)(116,379,354,193)(123,307,493,455) 2518 (124,281,334,430,452,218)(133,422,272,210,373,427)(153,429,323,369, 2519 214,395)(170,425,464)(172,329,357,252,387,398)(198,209,413,284,213, 2520 248)(199,235,344,296,480,200)(227,441) ] ], 2521[ 6, 32736, 1, "2", [ [ 33, 15 ] ], 1, "PSL(2, 2^5)", [ "L", [ 2, 32 ], 1 ], 2522 [ ( 1,356, 53,261,159,254,410, 35,215, 79,253, 96,198,217,353,430,400,100, 2523 92,395, 20, 16,117,125,421, 23,412,362,178,394,422)( 2,336,256,419, 2524 415, 51,307,182, 15,324, 38,305,397,102,166,232,323,474,204,432,438, 2525 200, 58,344, 62,248,121,490,236, 22,334)( 3,255,264,396, 29,202,220, 2526 94,143,447,387, 50,330,443, 81,325,179, 59,332,257,139,331,242,350, 2527 409,418,147,222,465,203,205)( 4,427, 33,133,425,183,271,428, 52, 44, 2528 7,111, 63,194,273,141,454,483,313,249,170, 83,404,343,376,278, 46, 2529 359,312,115,290)( 5, 27,466,365, 97,458, 93,171,153,453,293,406,424, 2530 393,137,384,275,258,471,337,176,226,382,150,386,260, 17, 95,134,439, 2531 484)( 6,417, 77,423,144,340,492,124,444, 26, 30,244,310,206,265,302, 2532 482,154, 80, 89,473,167,169,378,388,348,463,181,266,243,339) 2533 ( 8, 56,403,221,224,455,122,475,351,199, 64,445, 19,431,306,370, 61, 2534 227, 67, 41,494, 57,457,196,269,349, 76,187,116,175,374) 2535 ( 9,479,318, 73,435,291,101,383,449,315,283,160,335, 68,399,185,110, 2536 164,190, 86,297,461,487, 13,142,476,237,136,192,408,389) 2537 ( 10,352,241,229,135,437, 90,450,184,212,385,165, 32,345,448,303,157, 2538 341,195,267, 70,319,268, 39,292,233,301,360,201,377,270) 2539 ( 11,128,114,367, 98, 60, 28,105, 47,246,207,276,285,369,381,109, 87, 2540 174,245,311,405,300,259, 84, 72, 88,486,496,346,289,251) 2541 ( 12, 14,401,411,238,173,288,446,230,158,309,407,162, 34, 65,189, 54, 2542 480,481,149, 43,284,371,250,193,119,138,322, 25,112,426) 2543 ( 18,113,140,296,477,441,304,413,155,416,279,127,379,329,373,460,177, 2544 294,120,420, 48,214, 66, 49,180, 82,146,355,240,172,372) 2545 ( 21,132,429,168,391,280,485,148,488,392,188,326,191,219,308,281,357, 2546 452,364,151,272,468,107, 42,197, 74,489,103,262,456, 91) 2547 ( 24,320,263,375,469,252,235,390,338,398,342, 69,186,321,414,277,368, 2548 442,218,118,298, 75, 99,493, 37,495,108,106,239,286,223) 2549 ( 31, 78,130,363,358,228,126,145,208,440,104,451,316,472, 36,333,231, 2550 467,328,459,366,478,354,131,462,314,361,234,402, 85,295) 2551 ( 40,152,464,282,434,123,211,380,327,299,216,209,491,433, 71,470,436, 2552 287, 55,210,317,161,247, 45,156,347,274,213,225,129,163), 2553 ( 1,375,483,371,140,350,116,324,264,185,458)( 2,250,114,493,338,275, 2554 104,255,420,249,363)( 3,419,413,357, 10,367,207,201,148,180,490) 2555 ( 4, 41,282,374,177,150,107,345, 83, 54,254)( 5, 37,102,315,476, 70, 2556 94,120,423,196,319)( 6,365,234,137,362, 91,212,163,297,223,241) 2557 ( 7,105,429,468, 28,194, 55,224,494,455,123)( 8, 99,489,326,462,355, 2558 170, 50,322,347, 11)( 9,221,454,333,142, 22,168,396,217,268,176) 2559 ( 12,271,368, 96,484,192,203,200, 19,143,172)( 13,156,267,197,430,226, 2560 314, 27,206,301,298)( 14,237,448,164,284,117,136,457, 67,110, 20) 2561 ( 15,388,159,479,270,313,202,386,261,236,398)( 16, 52,286,330,353,401, 2562 43,178,257, 75,141)( 17,421, 66,432,312,259, 46,305,416, 92,453) 2563 ( 18,370, 87, 65,496,380,436,174,230,346,349)( 21, 49,263,269,321,376, 2564 352, 38,327,449, 31)( 23,295,427,118,109,216,278,161,382,158,154) 2565 ( 24,404,354,100,181, 34,393,464,115,433,289)( 25,310,213,417,119,214, 2566 74,238,481,456,279)( 26,461,487,144,125,204,179,361,325,397,395) 2567 ( 29,407,222,414,291,348,403,475, 89,383,252)( 30,329,409,184,190, 73, 2568 474,108, 97,450,227)( 32,486,186,219,411,434, 76, 78,467,225,273) 2569 ( 33,303,132,424,460, 64,317, 57,343,410,288)( 35,473, 58,342,256,215, 2570 406,147,183,377,160)( 36,253,412,320, 56, 39,447,229,299,162,146) 2571 ( 40, 45,121,111,492,246,466, 98,124, 63,415)( 42,478,435,470,438,360, 2572 290,235, 61,442,155)( 44,274,358,366,306,210,149,188,390,245,157) 2573 ( 47,372,134,112,128,152,287,439,316, 48,131)( 51, 81,240,463,187,307, 2574 340,408,251,469,165)( 53, 82,308,198,173,318,292,281,231,445,244) 2575 ( 59,248,341,277,381,399,444, 62,431, 80,296)( 60, 85,127,440, 93,211, 2576 247,285,193,171,113)( 68,167,359,378,389,332,151,293,260,391,443) 2577 ( 69,106,276,426,334,328,425,379,205,451,337)( 71,233,242,437,351,218, 2578 400,356,145,441,309)( 72,169,405,294,446,323,280,364,166,189,373) 2579 ( 77,175,228,488,135,283,480,422,392,304, 79)( 84,208,103,472,300,485, 2580 153,331,387, 95,452)( 86,126,428,122,335,384, 90,394,465,272,336) 2581 ( 88,311,471,482,491,130,232,459,209,266,258)(129,138,139,133,477,402, 2582 191,262,239,199,369)(182,339,302,195,418,220,385,243,265,344,495) ] 2583 ], 2584[ 7, 163680, 0, "2", [ [ 165, 3 ] ], 1, "PGammaL(2, 2^5)", 2585 [ "L", [ 2, 32 ], 1 ], 2586 [ ( 1, 68,238,371,126,287, 93,193,179,337,325,367,215,490,485) 2587 ( 2,375,194,437,172,311,493,395,388,149,328,414, 34, 40,190) 2588 ( 3, 94, 39,267,340,234,475, 97,187,118,195,184,471,107,379) 2589 ( 4,105,124,392,315,255,154,385,300,152,213,204,216,241, 21) 2590 ( 5,425,163,218,102,133, 51,424,463,347,455,127, 80,304,290) 2591 ( 6,227, 96,253,364,439,254, 29,312,342,386, 23,276,322, 15) 2592 ( 7,250, 46,434,474, 71,294,426,350,478, 59,302,120, 70,285) 2593 ( 8,468, 53,438, 88,360,283,362,191, 37,151,292,280,251,351) 2594 ( 9,176,483, 57, 91,165,441,336,217,157, 44,273,446, 74,317) 2595 ( 10,380,486,389,491,330,331,430,427,408,170,155,374,135,230) 2596 ( 11,235,225,219, 67, 35,189, 20, 63,222,117,178,476, 86,407) 2597 ( 12,344, 78,289,132,158,355,307,418,345,175, 26,203,246,207) 2598 ( 13,167,479,356,381,416,281,129,119, 17,383,354, 14, 24,469) 2599 ( 16, 61, 85,404,332, 54,343, 47, 62,201,173,429,101,249,316) 2600 ( 18,295,233,451,334,309,269,411,410,265,141,435,144,417, 72) 2601 ( 19,442,181, 92,134, 49,100,288,405,258,338, 31,319, 81,318) 2602 ( 22,199,470,168,357,492,112,212,368,400,390,242,314,373,122) 2603 ( 25,306,409,211,159,214,185,114,301,421, 45,431,259,147, 64) 2604 ( 27,450,397,391,150,419,494,271,365,210,243, 50,413,130,472) 2605 ( 28,104,394,448,462, 41,142,396, 69,327,321, 84,156, 65,399) 2606 ( 30,153,406,320,432,467,487,349,180,223,489,452,403,454,348) 2607 ( 32,466,109,174,353,277,359,310,263, 60,384,329,412, 95,116) 2608 ( 33,488,245,308,415, 52,313,182,296,111,422,445,202, 56,436) 2609 ( 36,401,433,143, 99, 90,323,291,372,229,274,376, 79,257,171) 2610 ( 38,268,108,457,228,369,297,352,428,377,443,272,138,382,231) 2611 ( 42,208,188,339,305,324,198,299,125,145,106,298,461,402,139) 2612 ( 48,393,169,192, 58,335,140, 66,458,447,284,244,248,260,121) 2613 ( 55,113,286,440,177,240,480,146,237,453,162,482,370,221,473) 2614 ( 73,262,459,444,303,136,160,398,266, 83,358,115,224,496,220) 2615 ( 75,279,326,239,137,148,465,161,366,197,477,282,270,196,449) 2616 ( 76,226,128,200,186,460, 77,456,264,183,103,166,236,481,495) 2617 ( 82,387,256, 98, 89,252,205,232,423, 87,278,420,123,378,261) 2618 (110,341,206,361,164,464,363,293,247,346,333,131,209,484,275), 2619 ( 1,206,198,212,308,169,448,389,406, 47)( 2,416,428,110, 38,328,490, 2620 62,112,374)( 3,177,266,309,327,390, 55, 21, 25, 24) 2621 ( 4,378, 67,412,377,256,411,468,287,193)( 5,438,489, 18, 72,176,109, 2622 397,161,437)( 6,342,485,425,125,483,237,376,293,249) 2623 ( 7,231,445,337,239, 64,213,306,319,179)( 8,481,366,449,129,241,311, 2624 73,145,272)( 9,434, 88,236,380, 48,339,282, 36,423)( 10,270,446,261, 2625 208,474,482,183,197,279)( 11,277,387,356, 83,396, 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413,279,289,493,292)(196,488,490,402,335,438,260,442,240) ] ], 2981[ 3, 762048, 0, "3a", [ [ 56, 1 ], [ 168, 1 ], [ 216, 1 ], [ 63, 1 ] ], 1, 2982 "PSL(2, 8)^2.3", [ "L", [ 2, 8 ], 2 ], 2983 [ ( 1,319, 88, 47,279,204,179,332,368,350, 80,354, 10,212,247,231,423,408, 2984 327,410,300,125, 95,386,425,278,309,191,468,218,237,119, 79, 6,126, 2985 235,426,115,358,153,333,324,118, 53,476,243,340,428,318,198,397,256, 2986 213,312,355,446,145,175, 64,287,398,448,382)( 2,436,182, 73,273, 18, 2987 322,421,261,493,495,406,254, 74,409,431,200,464,283, 24,290,174,219, 2988 142,387,296,389, 51,334,146, 45, 36, 15,463,274,473,384,316,454,346, 2989 128,202,249,211,299,101,444,487,150,222, 76,172,335,288,418, 13,144, 2990 112,275,458, 8,120,139)( 3,229,122,148,265,477,280,362,303,417, 50, 2991 494,435,313,302,413,197,209,131,304,359,338,207, 25, 94,404,419,452, 2992 467, 49,317,353,240,156, 55,474,393,277,457,471, 9,377,310, 96,129, 2993 480,192,499, 77,442,205,159,363, 19,123,443, 59,502,427,199,121, 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( 87,108,162,248,247,317,316,252,166)( 88,165,387,385,163,107,401,400, 3256 207)( 89,206,250,402,106,105,228,355,354)( 90,353,398,313,196,195, 3257 194,359, 91)( 92,358,357,225,103,102,190,189,188)( 93,187,192,191, 3258 101,100, 99, 95, 94)( 96, 98, 97)(104,224,223,184,183,321,210,230,229 3259 )(111,454,403,249,161,160,282,281,280)(112,279,447,197,312,311,310, 3260 114,113)(115,309,308,307,156,155,363,117,116)(118,362,361,360,193, 3261 186,185,222,221)(119,220,153,152,151,150,325,324,120) 3262 (121,323,322,182,303,434,433,432,122)(123,431,430,147,146,145,417,125, 3263 124)(127,338,143,142,141,140,503,129,128)(144,337,336,335,334,333, 3264 420,419,418)(148,429,428,427,329,328,327,326,149)(154,219,218,217, 3265 216,215,214,365,364)(157,306,305,211,320,284,283,159,158) 3266 (177,462,234,233,436,371,180,179,178)(181,370,369,368,367,366,213,212, 3267 304)(198,446,396,395,394,393,392,391,377)(199,376,277,350,349,409, 3268 408,407,406)(204,382,381,380,379,378,390,404,453)(226,356,227) 3269 (232,285,319,318,246,245,487,438,437)(290,494,411,410,348,347,346,345, 3270 344)(291,343,478,297,296,295,294,293,292)(330,426,425,424,423,422, 3271 421,332,331) ] ], 3272[2, Factorial(511)/2,1,"2",[[510,1]],509, "Alt(511)", ["A",511, 1], "Alt"], 3273[3, Factorial(511),0,"2",[[510, 1]],511, "Sym(511)", ["A",511, 1], "Sym"]]; 3274PRIMGRP[512]:= 3275[[ 1, 24580620288000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3276 "Alt(8) wreath Alt(3)", [ "A", 8, 3 ], 3277 [ ( 1,428,376,457,410, 54,105,424,499,281,390,116,353,395,306) 3278 ( 2, 44,368,464,474, 30,110,104,483,283,262, 68,356,331,266) 3279 ( 3,300,328,460,346, 14,106, 40,491,288,454, 92,358, 75,290) 3280 ( 4,364,336,458, 26, 46,112,488,475,286, 70,100,355,267,258) 3281 ( 5,236,384,461,218, 62,109,232,507,285,198,124,357,203,314) 3282 ( 6,108,360,459,282)( 7,172,344,463,154, 22,111,168,467,287,134, 84, 3283 359,139,274)( 8,492,352,462, 90, 38,107,296,451,284,326, 76,354, 11, 3284 298)( 9,426, 56,489,416,502, 89,422,115,289,387,308,321,396,370) 3285 ( 10, 42, 48,496,480,478, 94,102, 99,291,259,260,324,332,330) 3286 ( 12,362, 16,490, 32,494, 96,486, 91,294, 67,292,323,268,322) 3287 ( 13,234, 64,493,224,510, 93,230,123,293,195,316,325,204,378) 3288 ( 15,170, 24,495,160,470, 95,166, 83,295,131,276,327,140,338) 3289 ( 17,431,184,465,415,182, 81,423,179,273,391,180,337,399,178) 3290 ( 18, 47,176,472,479,158, 86,103,163,275,263,132,340,335,138) 3291 ( 19,303,136,468,351,142, 82, 39,171,280,455,156,342, 79,162) 3292 ( 20,367,144,466, 31,174, 88,487,155,278, 71,164,339,271,130) 3293 ( 21,239,192,469,223,190, 85,231,187,277,199,188,341,207,186) 3294 ( 23,175,152,471,159,150, 87,167,147,279,135,148,343,143,146) 3295 ( 25,430,120,481,411,310, 65,420,371,265,386, 52,361,400,498) 3296 ( 27,302, 72,484,347,270, 66, 36,363,272,450, 28,366, 80,482) 3297 ( 29,238,128,485,219,318, 69,228,379,269,194, 60,365,208,506) 3298 ( 33,427,312,449,412,374, 73,418, 51,297,392,500,345,398,114) 3299 ( 34, 43,304,456,476,350, 78, 98, 35,299,264,452,348,334, 74) 3300 ( 37,235,320,453,220,382, 77,226, 59,301,200,508,349,206,122) 3301 ( 41,432,504,473,414,118, 97,419,307,257,388,372,329,394, 50) 3302 ( 45,240,512,477,222,126,101,227,315,261,196,380,333,202, 58) 3303 ( 49,425,440,497,409,438,113,417,435,305,385,436,369,393,434) 3304 ( 53,233,448,501,217,446,117,225,443,309,193,444,373,201,442) 3305 ( 55,169,408,503,153,406,119,161,403,311,129,404,375,137,402) 3306 ( 57,429,248,505,413,246,121,421,243,313,389,244,377,397,242) 3307 ( 61,237,256,509,221,254,125,229,251,317,197,252,381,205,250) 3308 ( 63,173,216,511,157,214,127,165,211,319,133,212,383,141,210) 3309 (145,407,183)(149,215,191)(177,401,439)(181,209,447)(185,405,247) 3310 (189,213,255)(241,441,437)(245,249,445), 3311 ( 1,454, 14, 8,390, 46, 2,326, 38, 3,198, 30)( 4, 70, 54) 3312 ( 5,262, 62, 7,134, 22)( 9,456,398, 48,386,366, 34,323,230, 27,193, 3313 478)( 10,328,422, 43,194,350, 33,451,206, 32,385,494) 3314 ( 11,200,414, 41,450,334, 40,387,238, 26,321,486)( 12, 72,438, 44, 66, 3315 374, 36, 67,246, 28, 65,502)( 13,264,446, 47,130,342, 37,259,254, 31, 3316 129,470)( 15,136,406, 45,258,382, 39,131,214, 29,257,510) 3317 ( 16,392,430, 42,322,358, 35,195,222, 25,449,462)( 17,453,270, 64,391, 3318 174, 18,325,294, 59,199,158)( 19,197,286, 57,455,142, 24,389,302, 58, 3319 327,166)( 20, 69,310, 60, 71,182)( 21,261,318, 63,135,150) 3320 ( 23,133,278, 61,263,190)( 49,452, 78, 56,388,110, 50,324,102, 51,196, 3321 94)( 52, 68,118)( 53,260,126, 55,132, 86)( 73,504,396,112,434,364, 3322 98,371,228, 91,241,476)( 74,376,420,107,242,348, 97,499,204, 96,433, 3323 492)( 75,248,412,105,498,332,104,435,236, 90,369,484) 3324 ( 76,120,436,108,114,372,100,115,244, 92,113,500)( 77,312,444,111,178, 3325 340,101,307,252, 95,177,468)( 79,184,404,109,306,380,103,179,212, 93, 3326 305,508)( 80,440,428,106,370,356, 99,243,220, 89,497,460) 3327 ( 81,501,268,128,439,172, 82,373,292,123,247,156)( 83,245,284,121,503, 3328 140, 88,437,300,122,375,164)( 84,117,308,124,119,180) 3329 ( 85,309,316,127,183,148)( 87,181,276,125,311,188)(137,472,397,304, 3330 442,367,162,339,229,283,249,479)(138,344,421,299,250,351,161,467,205, 3331 288,441,495)(139,216,413,297,506,335,168,403,237,282,377,487) 3332 (141,280,445,303,186,343,165,275,253,287,185,471)(143,152,405,301,314, 3333 383,167,147,213,285,313,511)(144,408,429,298,378,359,163,211,221,281, 3334 505,463)(145,469,269,320,447,175,146,341,293,315,255,159) 3335 (149,277,317,319,191,151)(153,465,461,272,448,431,170,338,357,291,251, 3336 223)(154,337,485,267,256,415,169,466,333,296,443,239) 3337 (155,209,477,265,512,399,176,402,365,290,379,231)(157,273,509,271,192, 3338 407,173,274,381,295,187,215)(160,401,493,266,384,423,171,210,349,289, 3339 507,207)(189,279)(201,480,393,496,394,368,418,363,226,347,225,475) 3340 (202,352,417,491)(203,224,409,489,458,336,424,427,234,346,353,483) 3341 (208,416,425,490,330,360,419,235,218,345,481,459)(217,473,457,464,400, 3342 432,426,362,354,355,227,219)(232,411,233,474,329,488,395,240,410,361, 3343 482,331) ] ], 3344[ 2, 49161240576000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3345 "Alt(8)^3.6", [ "A", 8, 3 ], 3346 [ ( 1,110,189,471, 49,430,186,479,369,432,130, 95,373,408, 2, 94,381,472) 3347 ( 3, 78,317,467, 9,302,187,463,305,427,138,287,371,400,258, 91,333, 3348 280)( 4,102,253,468, 33,238,188,487,241,428,162,223,372,424,194, 92, 3349 357,216)( 5, 86, 61,470, 57,494,185,495,177,431,178,415,370,416,322, 3350 96,325, 88)( 6,126,509,465, 41,174,191,503,433,426,154,351,376,392, 3351 66, 93,341, 24)( 7,118,445,466, 25,366,192,455,113,429,146, 31,374, 3352 448,450, 89,365,152)( 8, 70,125,469, 17, 46,190,511,497,425,170,159, 3353 375,440,386, 90,349,344)( 10,286,379,464,257,107,141,279, 51,398,314, 3354 475,329,304,131, 79,309,403)( 11,270,315,459,265,299,139,271,307,395, 3355 266,283,331,272,259, 75,269,275)( 12,294,251,460,289,235,140,295,243, 3356 396,290,219,332,296,195, 76,293,211)( 13,278, 59,462,313,491,137,303, 3357 179,399,306,411,330,288,323, 80,261, 83)( 14,318,507,457,297,171,143, 3358 311,435,394,282,347,336,264, 67, 77,277, 19)( 15,310,443,458,281,363, 3359 144,263,115,397,274, 27,334,320,451, 73,301,147)( 16,262,123,461,273, 3360 43,142,319,499,393,298,155,335,312,387, 74,285,339)( 18, 30,382,512, 3361 449,105,173,151, 55,438,442,474,345,368,136, 71,117,405) 3362 ( 20, 38,254,508,481,233,172,167,247,436,418,218,348,360,200, 68,101, 3363 213)( 21, 22, 62,510,505,489,169,175,183,439,434,410,346,352,328, 72, 3364 69, 85)( 23, 54,446,506,473,361,176,135,119,437,402, 26,350,384,456, 3365 65,109,149)( 28,358,256,452, 97,237,148, 39,246,444,482,217,364,168, 3366 199,116,421,210)( 29,342, 64,454,121,493,145, 47,182,447,498,409,362, 3367 160,327,120,389, 82)( 32,326,128,453, 81, 45,150, 63,502,441,490,153, 3368 367,184,391,114,413,338)( 34,222,380,488,193,108,165,215, 52,422,250, 3369 476,353,240,132,103,245,404)( 35,206,316,483,201,300,163,207,308,419, 3370 202,284,355,208,260, 99,205,276)( 36,230,252,484,225,236,164,231,244, 3371 420,226,220,356,232,196,100,229,212)( 37,214, 60,486,249,492,161,239, 3372 180,423,242,412,354,224,324,104,197, 84)( 40,198,124,485,209, 44,166, 3373 255,500,417,234,156,359,248,388, 98,221,340)( 42,158,383,504,385,106, 3374 157,343, 56,390,122,477,337, 48,134,127,501,401)( 50,414,378,480,321, 3375 112,133, 87, 53,406, 58,478,377,496,129,111,181,407)(203,268,291) 3376 (204,292,227), ( 1,304,467, 65,320,468,193,312,471,321,296,466,129, 3377 288,470,385,272,469)( 2,176,475, 70,448,460,197, 56,495,323,104,506, 3378 132,224,502,391,336,485)( 3,112,507, 68,256,500,199,376,487,322,168, 3379 474,134,416,462,389, 16,493)( 4,240,499, 71,384,484,194,184,479,326, 3380 424,458,133, 32,494,387, 80,509)( 5, 48,491, 67,128,508,196,248,503, 3381 327,360,482,130,160,478,390,400,461)( 6,432,459, 69, 64,492,195,120, 3382 511,324,232,498,135,352,486,386,144,477)( 7,368,483, 66,192,476,198, 3383 440,463,325, 40,490,131, 96,510,388,208,501)( 8,496,451, 72,512,452, 3384 200,504,455,328,488,450,136,480,454,392,464,453)( 9,301, 19,105,315, 3385 84,249,308,215,369,295,338,161,282,150,409,270,405)( 10,173, 27,110, 3386 443, 76,253, 52,239,371,103,378,164,218,182,415,334,421) 3387 ( 11,109, 59,108,251,116,255,372,231,370,167,346,166,410,142,413, 14, 3388 429)( 12,237, 51,111,379,100,250,180,223,374,423,330,165, 26,174,411, 3389 78,445)( 13, 45, 43,107,123,124,252,244,247,375,359,354,162,154,158, 3390 414,398,397)( 15,365, 35,106,187, 92,254,436,207,373, 39,362,163, 90, 3391 190,412,206,437)( 17,297,275, 81,313,276,209,305,279,337,289,274,145, 3392 281,278,401,265,277)( 18,169,283, 86,441,268,213, 49,303,339, 97,314, 3393 148,217,310,407,329,293)( 20,233,307, 87,377,292,210,177,287,342,417, 3394 266,149, 25,302,403, 73,317)( 21, 41,299, 83,121,316,212,241,311,343, 3395 353,290,146,153,286,406,393,269)( 22,425,267, 85, 57,300,211,113,319, 3396 340,225,306,151,345,294,402,137,285)( 23,361,291, 82,185,284,214,433, 3397 271,341, 33,298,147, 89,318,404,201,309)( 24,489,259, 88,505,260,216, 3398 497,263,344,481,258,152,473,262,408,457,261)( 28,238,435, 79,381, 36, 3399 234,179, 95,382,420,202,181, 31,366,419, 74,189)( 29, 46,427, 75,125, 3400 60,236,243,119,383,356,226,178,159,350,422,394,141)( 30,430,395, 77, 3401 61, 44,235,115,127,380,228,242,183,351,358,418,138,157) 3402 ( 34,170,155, 94,446,396,205, 53, 47,363, 99,122,188,220,246,439,335, 3403 357)( 37, 42,171, 91,126,444,204,245, 55,367,355, 98,186,156,222,438, 3404 399,333)( 38,426,139, 93, 62,428,203,117, 63,364,227,114,191,348,230, 3405 434,143,349)( 50,175,347,102,442,140,221, 54,431,331,101, 58,172,219, 3406 118,447,332,229)(257,280,465)(264,472,449) ] ], 3407[ 3, 49161240576000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3408 "Alt(8) wreath Sym(3)", [ "A", 8, 3 ], 3409 [ ( 1,334,157, 36,394,191,225,430,509,244,106,455,369, 94, 5,332,154, 39, 3410 393,190,229,428,506,247,105,454,373, 92, 2,335,153, 38,397,188,226, 3411 431,505,246,109,452,370, 95)( 3,336,155, 40,395,192,227,432,507,248, 3412 107,456,371, 96)( 4,330,159, 33,398,189,228,426,511,241,110,453,372, 3413 90, 7,329,158, 37,396,186,231,425,510,245,108,450,375, 89, 6,333, 3414 156, 34,399,185,230,429,508,242,111,449,374, 93)( 8,331,160, 35,400, 3415 187,232,427,512,243,112,451,376, 91)( 9,142,165,420,442,255,233,494, 3416 501,116, 66,327,345, 30, 13,140,162,423,441,254,237,492,498,119, 65, 3417 326,349, 28, 10,143,161,422,445,252,234,495,497,118, 69,324,346, 31) 3418 ( 11,144,163,424,443,256,235,496,499,120, 67,328,347, 32) 3419 ( 12,138,167,417,446,253,236,490,503,113, 70,325,348, 26, 15,137,166, 3420 421,444,250,239,489,502,117, 68,322,351, 25, 14,141,164,418,447,249, 3421 238,493,500,114, 71,321,350, 29)( 16,139,168,419,448,251,240,491,504, 3422 115, 72,323,352, 27)( 17,270,149,292,402,319,209,302,469,308, 82,263, 3423 337,286, 21,268,146,295,401,318,213,300,466,311, 81,262,341,284, 18, 3424 271,145,294,405,316,210,303,465,310, 85,260,338,287)( 19,272,147,296, 3425 403,320,211,304,467,312, 83,264,339,288)( 20,266,151,289,406,317,212, 3426 298,471,305, 86,261,340,282, 23,265,150,293,404,314,215,297,470,309, 3427 84,258,343,281, 22,269,148,290,407,313,214,301,468,306, 87,257,342, 3428 285)( 24,267,152,291,408,315,216,299,472,307, 88,259,344,283) 3429 ( 41,462,181,100,386,383,217, 46,461,180, 98,391,377,222, 45,460,178, 3430 103,385,382,221, 44,458,183, 97,390,381,220, 42,463,177,102,389,380, 3431 218, 47,457,182,101,388,378,223)( 43,464,179,104,387,384,219, 48,459, 3432 184, 99,392,379,224)( 49, 78,133,356,410, 63,201,174,485,436,122,199, 3433 361,478, 53, 76,130,359,409, 62,205,172,482,439,121,198,365,476, 50, 3434 79,129,358,413, 60,202,175,481,438,125,196,362,479)( 51, 80,131,360, 3435 411, 64,203,176,483,440,123,200,363,480)( 52, 74,135,353,414, 61,204, 3436 170,487,433,126,197,364,474, 55, 73,134,357,412, 58,207,169,486,437, 3437 124,194,367,473, 54, 77,132,354,415, 57,206,173,484,434,127,193,366, 3438 477)( 56, 75,136,355,416, 59,208,171,488,435,128,195,368,475) 3439 (273,278,277,276,274,279)(275,280), 3440 ( 1,346, 71, 25,322, 95)( 2, 90, 65,345,327, 31)( 3,410, 72,153,326, 3441 287)( 4,474, 68,473,324,479)( 5,218, 69,217,325,223) 3442 ( 6,282, 67,409,328,159)( 7, 26, 66, 89,321,351)( 8,154, 70,281, 3443 323,415)( 9,338,103, 41,378,119)( 10, 82, 97,361,383, 55) 3444 ( 11,402,104,169,382,311)( 12,466,100,489,380,503)( 13,210,101,233, 3445 381,247)( 14,274, 99,425,384,183)( 15, 18, 98,105,377,375) 3446 ( 16,146,102,297,379,439)( 17,354,111, 57,370, 79)( 19,418,112,185, 3447 374,271)( 20,482,108,505,372,463)( 21,226,109,249,373,207) 3448 ( 22,290,107,441,376,143)( 23, 34,106,121,369,335)( 24,162,110,313, 3449 371,399)( 27,386, 96,129,350,263)( 28,450, 92,449,348,455) 3450 ( 29,194, 93,193,349,199)( 30,258, 91,385,352,135)( 32,130, 94,257, 3451 347,391)( 33,362,127, 49,330, 87)( 35,426,128,177,334,279) 3452 ( 36,490,124,497,332,471)( 37,234,125,241,333,215)( 38,298,123,433, 3453 336,151)( 39, 42,122,113,329,343)( 40,170,126,305,331,407) 3454 ( 43,442,120,137,342,295)( 44,506,116,457,340,487)( 45,250,117,201, 3455 341,231)( 46,314,115,393,344,167)( 47, 58,114, 73,337,359) 3456 ( 48,186,118,265,339,423)( 50, 74, 81,353,367, 63)( 51,394, 88,161, 3457 366,319)( 52,458, 84,481,364,511)( 53,202, 85,225,365,255) 3458 ( 54,266, 83,417,368,191)( 56,138, 86,289,363,447)( 59,434, 80,145, 3459 358,303)( 60,498, 76,465,356,495)( 61,242, 77,209,357,239) 3460 ( 62,306, 75,401,360,175)( 64,178, 78,273,355,431)(131,414,264,155, 3461 390,288)(132,478,260,475,388,480)(133,222,261,219,389,224) 3462 (134,286,259,411,392,160)(136,158,262,283,387,416)(139,406,296,171, 3463 446,312)(140,470,292,491,444,504)(141,214,293,235,445,248) 3464 (142,278,291,427,448,184)(144,150,294,299,443,440)(147,422,304,187, 3465 438,272)(148,486,300,507,436,464)(149,230,301,251,437,208) 3466 (152,166,302,315,435,400)(156,454,284,451,412,456)(157,198,285,195, 3467 413,200)(163,430,320,179,398,280)(164,494,316,499,396,472) 3468 (165,238,317,243,397,216)(168,174,318,307,395,408)(172,510,308,459, 3469 404,488)(173,254,309,203,405,232)(176,190,310,267,403,424) 3470 (180,462,276,483,428,512)(181,206,277,227,429,256)(182,270,275,419, 3471 432,192)(188,502,268,467,420,496)(189,246,269,211,421,240)(196,477) 3472 (197,221)(204,469,228,493,252,501)(205,213,229,237,253,245) 3473 (212,485,236,509,244,461)(220,453)(452,476)(460,468,484,492,508,500) 3474 ] ], 3475[ 4, 49161240576000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3476 "Alt(8)^3.Sym(3)", [ "A", 8, 3 ], 3477 [ ( 1,277,387,214,322,468,135, 17,261,403,198,338,452,151)( 2,469,391, 22, 3478 325,404,134,337,260,147,193,274,451,215)( 3,213,386,470,327, 20,133, 3479 401,262,339,196,146,449,279)( 4,149,385,278,323,212,130,465,263, 19, 3480 197,402,454,343)( 5,405,390,342,324,148,129,273,259,211,194,466,455, 3481 23)( 6,341,388,150,321,276,131,209,258,467,199, 18,453,407) 3482 ( 7, 21,389,406,326,340,132,145,257,275,195,210,450,471) 3483 ( 8, 85,392, 86,328, 84,136, 81,264, 83,200, 82,456, 87) 3484 ( 9,309,419,238,346,460,183, 33,301,411,206,370,484,175, 25,269,435, 3485 230,362,476,143, 49,293,427,222,330,500,167, 41,285,395,246,354,492, 3486 159)( 10,501,423, 46,349,396,182,353,300,155,201,306,483,239, 26,461, 3487 439, 38,365,412,142,369,292,171,217,266,499,231, 42,477,399, 54,357, 3488 428,158,329,308,163,233,282,459,247, 34,493,415, 14,373,420,174,345, 3489 268,179,225,298,475,207, 50,485,431, 30,333,436,166,361,284,139,241, 3490 290,491,223)( 11,245,418,494,351, 12,181,417,302,347,204,178,481,303, 3491 27,205,434,486,367, 28,141,433,294,363,220,138,497,295, 43,221,394, 3492 502,359, 44,157,393,310,355,236,154,457,311, 35,237,410,462,375, 36, 3493 173,409,270,371,228,170,473,271, 51,229,426,478,335, 52,165,425,286, 3494 331,244,162,489,287)( 13,437,422,366,348,140,177,289,299,219,202,498, 3495 487, 47, 29,397,438,358,364,156,137,305,291,235,218,458,503, 39, 45, 3496 413,398,374,356,172,153,265,307,227,234,474,463, 55, 37,429,414,334, 3497 372,164,169,281,267,243,226,490,479, 15, 53,421,430,350,332,180,161, 3498 297,283,203,242,482,495, 31)( 16,117,424,110,352, 76,184, 97,304, 91, 3499 208,114,488,111, 32, 77,440,102,368, 92,144,113,296,107,224, 74,504, 3500 103, 48, 93,400,118,360,108,160, 73,312, 99,240, 90,464,119, 40,109, 3501 416, 78,376,100,176, 89,272,115,232,106,480, 79, 56,101,432, 94,336, 3502 116,168,105,288, 75,248, 98,496, 95)( 24, 69,408, 70,344, 68,152, 65, 3503 280, 67,216, 66,472, 71)( 57,317,443,254,378,508,191) 3504 ( 58,509,447, 62,381,444,190,377,316,187,249,314,507,255) 3505 ( 59,253,442,510,383, 60,189,441,318,379,252,186,505,319) 3506 ( 61,445,446,382,380,188,185,313,315,251,250,506,511, 63) 3507 ( 64,125,448,126,384,124,192,121,320,123,256,122,512,127)( 72, 88) 3508 ( 80,120,104,112, 96), 3509 ( 1,177,409, 17,497,425,209,505,105,201,377, 65,137,345) 3510 ( 2,181,415, 19,498,429,215,507,106,205,383, 67,138,349, 7,179,410, 3511 21,503,427,210,509,111,203,378, 69,143,347)( 3,178,413, 23,499,426, 3512 213,511,107,202,381, 71,139,346, 5,183,411, 18,501,431,211,506,109, 3513 207,379, 66,141,351)( 4,180,412, 20,500,428,212,508,108,204,380, 68, 3514 140,348)( 6,182,414, 22,502,430,214,510,110,206,382, 70,142,350) 3515 ( 8,184,416, 24,504,432,216,512,112,208,384, 72,144,352) 3516 ( 9,369,385,145,473, 41,241,441, 81,457,361,193,185, 89) 3517 ( 10,373,391,147,474, 45,247,443, 82,461,367,195,186, 93, 15,371,386, 3518 149,479, 43,242,445, 87,459,362,197,191, 91)( 11,370,389,151,475, 42, 3519 245,447, 83,458,365,199,187, 90, 13,375,387,146,477, 47,243,442, 85, 3520 463,363,194,189, 95)( 12,372,388,148,476, 44,244,444, 84,460,364,196, 3521 188, 92)( 14,374,390,150,478, 46,246,446, 86,462,366,198,190, 94) 3522 ( 16,376,392,152,480, 48,248,448, 88,464,368,200,192, 96) 3523 ( 25, 49,433,401,465,489,233,249,121, 73,329,321,129,153) 3524 ( 26, 53,439,403,466,493,239,251,122, 77,335,323,130,157, 31, 51,434, 3525 405,471,491,234,253,127, 75,330,325,135,155)( 27, 50,437,407,467,490, 3526 237,255,123, 74,333,327,131,154, 29, 55,435,402,469,495,235,250,125, 3527 79,331,322,133,159)( 28, 52,436,404,468,492,236,252,124, 76,332,324, 3528 132,156)( 30, 54,438,406,470,494,238,254,126, 78,334,326,134,158) 3529 ( 32, 56,440,408,472,496,240,256,128, 80,336,328,136,160) 3530 ( 33,305,417,273,481,297,225,313, 97,265,353,257,161,281) 3531 ( 34,309,423,275,482,301,231,315, 98,269,359,259,162,285, 39,307,418, 3532 277,487,299,226,317,103,267,354,261,167,283)( 35,306,421,279,483,298, 3533 229,319, 99,266,357,263,163,282, 37,311,419,274,485,303,227,314,101, 3534 271,355,258,165,287)( 36,308,420,276,484,300,228,316,100,268,356,260, 3535 164,284)( 38,310,422,278,486,302,230,318,102,270,358,262,166,286) 3536 ( 40,312,424,280,488,304,232,320,104,272,360,264,168,288) 3537 ( 57,113,393,337,449,169,217)( 58,117,399,339,450,173,223, 59,114,397, 3538 343,451,170,221, 63,115,394,341,455,171,218, 61,119,395,338,453,175, 3539 219)( 60,116,396,340,452,172,220)( 62,118,398,342,454,174,222) 3540 ( 64,120,400,344,456,176,224)(290,293,295,291) ] ], 3541[ 5, 98322481152000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3542 "Alt(8)^3.Alt(4)", [ "A", 8, 3 ], 3543 [ ( 1,116,265, 71,332,279,323, 20,307)( 2,436,313, 72,460,295,326,212,299) 3544 ( 3, 52,305, 65, 76,271,327,340,275)( 4,308,257, 68,268,263,324,276, 3545 259)( 5,180,281, 69,140,287,325,148,283)( 6,244,297, 66,396,319, 3546 328,468,291)( 7,372,273, 67, 12,311,321, 84,267)( 8,500,289, 70, 3547 204,303,322,404,315)( 9,119,329, 87,331, 23,371, 17,115) 3548 ( 10,439,377, 88,459, 39,374,209,107)( 11, 55,369, 81, 75, 15,375,337, 3549 83)( 13,183,345, 85,139, 31,373,145, 91)( 14,247,361, 82,395, 63,376, 3550 465, 99)( 16,503,353, 86,203, 47,370,401,123)( 18,435, 57,120,457, 3551 103,334,215,363)( 19, 51, 49,113, 73, 79,335,343,339) 3552 ( 21,179, 25,117,137, 95,333,151,347)( 22,243, 41,114,393,127,336,471, 3553 355)( 24,499, 33,118,201,111,330,407,379)( 26,437,185, 96,461,167, 3554 350,213,171)( 27, 53,177, 89, 77,143,351,341,147)( 28,309,129, 92, 3555 269,135,348,277,131)( 29,181,153, 93,141,159,349,149,155) 3556 ( 30,245,169, 90,397,191,352,469,163)( 32,501,161, 94,205,175,346,405, 3557 187)( 34,438,249,112,458,423,382,216,491)( 35, 54,241,105, 74,399, 3558 383,344,467)( 36,310,193,108,266,391,380,280,451)( 37,182,217,109, 3559 138,415,381,152,475)( 38,246,233,106,394,447,384,472,483) 3560 ( 40,502,225,110,202,431,378,408,507)( 42,434,441,128,464,487,358,214, 3561 235)( 43, 50,433,121, 80,463,359,342,211)( 44,306,385,124,272,455, 3562 356,278,195)( 45,178,409,125,144,479,357,150,219)( 46,242,425,122, 3563 400,511,360,470,227)( 48,498,417,126,208,495,354,406,251) 3564 ( 56,497, 97, 78,207,367,338,403, 59)( 58,440,505,104,462,231,366,210, 3565 427)( 60,312,449,100,270,199,364,274,387)( 61,184,473,101,142,223, 3566 365,146,411)( 62,248,489, 98,398,255,368,466,419)( 64,504,481,102, 3567 206,239,362,402,443)(130,412,317,136,476,293,134,220,301) 3568 (132,284,261)(133,156,285)(154,413,189,160,477,165,158,221,173) 3569 (162,414,253,176,474,421,190,224,493)(164,286,197,172,282,389,188,288, 3570 453)(166,222,237,170,410,445,192,480,485)(168,478,229,174,218,429, 3571 186,416,509)(194,428,314,392,508,296,454,228,302)(196,300,258,388, 3572 316,264,452,292,262)(198,236,298,386,444,320,456,484,294) 3573 (200,492,290,390,252,304,450,420,318)(226,430,250,432,506,424,510,232, 3574 494)(230,238,234,426,442,448,512,488,486)(240,490,418,446,256,496, 3575 482,422,254), ( 1,385,393,400,208,232,231,359,351,346, 90,114,118, 3576 502,510,509,189,173,171, 43, 3)( 2, 65,433,398,464,256,229,167,367, 3577 347, 26, 66,113,438,462,512,253,165,175,363, 27)( 4,257,401,396,272, 3578 216,228,295,343,348,282, 82,116,310,470,508,317,149,172,299, 19) 3579 ( 5,129,425,395, 16,200,225,423,335,352,218, 98,119,374,478,506,125, 3580 181,174,491, 59)( 6,449,441,397,144,240,227, 39,327,345,410, 74,120, 3581 246,486,511,381,157,170,107, 51)( 7,321,409,394, 80,248,230,487,383, 3582 349,154,106,115, 54,454,505,445,141,176,235, 35)( 8,193,417,399,336, 3583 224,226,103,375,350,474,122,117,182,494,507, 61,133,169,427, 11) 3584 ( 9,392,201,424,207,360,223,354, 95,370, 94,498,126,501,190,493,187, 3585 45,131, 41,387)( 10, 72,241,422,463,384,221,162,111,371, 30,450,121, 3586 437,142,496,251, 37,135,361,411)( 12,264,209,420,271,344,220,290, 87, 3587 372,286,466,124,309,150,492,315, 21,132,297,403)( 13,136,233,419, 15, 3588 328,217,418, 79,376,222,482,127,373,158,490,123, 53,134,489,443) 3589 ( 14,456,249,421,143,368,219, 34, 71,369,414,458,128,245,166,495,379, 3590 29,130,105,435)( 17,388,265,408,204,296,215,356,287,338, 92,306, 86, 3591 500,318,469,188,301,147, 44,259)( 18, 68,305,406,460,320,213,164,303, 3592 339, 28,258, 81,436,270,472,252,293,151,364,283)( 20,260,273,404,268, 3593 280,212,292,279,340,284,274, 84,308,278,468,316,277,148,300,275) 3594 ( 22,452,313,405,140,304,211, 36,263,337,412,266, 88,244,294,471,380, 3595 285,146,108,307)( 23,324,281,402, 76,312,214,484,319,341,156,298, 83, 3596 52,262,465,444,269,152,236,291)( 24,196,289,407,332,288,210,100,311, 3597 342,476,314, 85,180,302,467, 60,261,145,428,267)( 25,386, 73,440,206, 3598 488,255,357,159,362, 91, 50, 70,497,446,461,192,237,163, 47,323) 3599 ( 31,322, 89,434, 78,504,254,485,191,365,155, 42, 67, 49,390,457,448, 3600 205,168,239,355)( 32,194, 97,439,334,480,250,101,183,366,475, 58, 69, 3601 177,430,459, 64,197,161,431,331)( 33,391,329,416,202,104,247,358,479, 3602 378, 93,178,110,499, 62,453,185,429,139, 48,195)( 38,455,377,413,138, 3603 112,243)( 40,199,353,415,330, 96,242,102,503,382,477,186,109,179, 46, 3604 451, 57,389,137,432,203)( 55,326,473,442, 77,184,238,483, 63,325,153, 3605 426, 75, 56,198,481,447,333,160,234, 99) ] ], 3606[ 6, 98322481152000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3607 "Alt(8)^3.D_12", [ "A", 8, 3 ], 3608 [ ( 1,470,207,131, 30,212, 71,190,217,452, 78,251)( 2,278,231,133,414,244, 3609 72,382,233,450,270,227, 5,406,247,136,350,236, 66,318,225,453,398, 3610 243, 8,342,239,130,286,228, 69,446,241,456,334,235)( 3, 22,215,135, 3611 158,220, 68,126,249,449,462,203)( 4, 86,255,129,478,204, 67, 62,209, 3612 455,142,219)( 6,214,199,134,222,196, 70,254,193,454,206,195) 3613 ( 7,150,223,132, 94,252, 65,510,201,451, 14,211)( 9,467, 15,147, 31, 3614 148, 95,188, 89,508, 73,507)( 10,275, 39,149,415,180, 96,380,105,506, 3615 265,483, 13,403, 55,152,351,172, 90,316, 97,509,393,499, 16,339, 47, 3616 146,287,164, 93,444,113,512,329,491)( 11, 19, 23,151,159,156, 92,124, 3617 121,505,457,459)( 12, 83, 63,145,479,140, 91, 60, 81,511,137,475) 3618 ( 17,471,143,155, 28, 84,127,185,473,460, 75, 59)( 18,279,167,157,412, 3619 116,128,377,489,458,267, 35, 21,407,183,160,348,108,122,313,481,461, 3620 395, 51, 24,343,175,154,284,100,125,441,497,464,331, 43) 3621 ( 20, 87,191,153,476, 76,123, 57,465,463,139, 27)( 25,468, 79,187) 3622 ( 26,276,103,189,409,500, 80,379, 41,466,271,163, 29,404,119,192,345, 3623 492, 74,315, 33,469,399,179, 32,340,111,186,281,484, 77,443, 49,472, 3624 335,171)( 34,277,423,181,416,372,112,378,297,482,269,419, 53,408,375, 3625 176,346,300, 98,317,417,501,400,371, 48,338,303,162,285,420,117,448, 3626 369,496,330,299)( 36, 85,447,177,480,332,107, 58,273,487,141,411, 52, 3627 88,383,169,474,268, 99, 61,401,503,144,347, 44, 82,319,161,477,396, 3628 115, 64,337,495,138,283)( 37,405,439,184,352,364,106,314,289,485,397, 3629 435, 56,344,367,170,282,292,101,445,433,504,336,363, 42,274,295,165, 3630 413,436,120,384,361,490,266,291)( 38,213,391,182,224,324,110,250,257, 3631 486,205,387, 54,216,327,174,218,260,102,253,385,502,208,323, 46,210, 3632 263,166,221,388,118,256,321,494,202,259)( 40,341,431,178,288,356,109, 3633 442,305,488,333,427, 50,280,359,173,410,308,104,381,425,498,272,355, 3634 45,402,311,168,349,428,114,320,353,493,394,307)(194,262,230,197,390, 3635 246,200,326,238)(226,261,422,245,392,374,240,322,302) 3636 (229,389,438,248,328,366,234,258,294)(232,325,430,242,264,358,237,386, 3637 310)(290,293,421,437,440,376,368,362,298)(296,357,429,434,312,360, 3638 365,426,306)(301,418,309,424,373,432,370,304,354), 3639 ( 1,372, 61,476, 42,140, 19, 68, 54,316, 32,428, 15,212) 3640 ( 2,180, 59, 92, 46,268, 24,388, 55,252, 25,364, 13,468) 3641 ( 3,116, 62,284, 48,396, 23,196, 49,380, 29,492, 10,148) 3642 ( 4, 52, 60, 28, 44, 12, 20)( 5,500, 58,156, 43, 76, 22,260, 56,444, 3643 31,236, 9,340)( 6,308, 64,412, 47,204, 17,324, 53,508, 26,172, 11, 3644 84)( 7,244, 57,348, 45,460, 18,132, 51,124, 30,300, 16,404) 3645 ( 8,436, 63,220, 41,332, 21,452, 50,188, 27,108, 14,276) 3646 ( 33,356, 37,484, 34,164, 35,100, 38,292, 40,420, 39,228) 3647 ( 65,374,317,480,426,143,211)( 66,182,315, 96,430,271,216,385,375,253, 3648 473,362,141,467)( 67,118,318,288,432,399,215,193,369,381,477,490,138, 3649 147)( 69,502,314,160,427, 79,214,257,376,445,479,234,137,339) 3650 ( 70,310,320,416,431,207,209,321,373,509,474,170,139, 83) 3651 ( 71,246,313,352,429,463,210,129,371,125,478,298,144,403) 3652 ( 72,438,319,224,425,335,213,449,370,189,475,106,142,275) 3653 ( 73,342,261,504,442,159,235)( 74,150,259,120,446,287,240,393,343,197, 3654 497,378,157,491)( 75, 86,262,312,448,415,239,201,337,325,501,506,154, 3655 171)( 77,470,258,184,443, 95,238,265,344,389,503,250,153,363) 3656 ( 78,278,264,440,447,223,233,329,341,453,498,186,155,107) 3657 ( 80,406,263,248,441,351,237,457,338,133,499,122,158,299) 3658 ( 81,326,309,512,410,175,203)( 82,134,307,128,414,303,208,401,327,245, 3659 505,346,173,459)( 85,454,306,192,411,111,206,273,328,437,511,218,169, 3660 331)( 87,198,305,384,413,495,202,145,323,117,510,282,176,395) 3661 ( 88,390,311,256,409,367,205,465,322,181,507, 90,174,267) 3662 ( 89,366,269,472,386,183,251)( 91,110,270,280,392,439,255,217,361,333, 3663 469,450,178,187)( 93,494,266,152,387,119,254,281,368,397,471,194,177, 3664 379)( 94,302,272,408,391,247,249,345,365,461,466,130,179,123) 3665 ( 97,358,293,488,418,167,227)( 98,166,291,104,422,295,232,417,359,229, 3666 481,354,165,483)( 99,102,294,296,424,423,231,225,353,357,485,482,162, 3667 163)(101,486,290,168,419,103,230,289,360,421,487,226,161,355) 3668 (105,334,277,456,434,191,219)(109,462,274,136,435,127,222,297,336,405, 3669 455,242,185,347)(112,398,279,200,433,383,221,489,330,149,451,114,190, 3670 283)(113,382,285,496,394,151,195)(115,126,286,304,400,407,199,241, 3671 377,349,493,458,146,131)(121,350,301,464,402,135,243) ] ], 3672[ 7, 196644962304000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3673 "Sym(8) wreath Alt(3)", [ "A", 8, 3 ], 3674 [ ( 1,146,499,294,336,237, 68,159,443, 33,338,501,262,144,235,100,351,445) 3675 ( 2,178,307,296,368,109, 71,191, 59, 34,370,309,264,176,107,103,383, 3676 61)( 3,162,371,293,328,173, 67,167,379, 37,322,181,259,168,363,101, 3677 327,189)( 4,154,435,289,344,493, 70,143,251, 36,346,437,257,152,491, 3678 102,335,253)( 5,130,179,291,360,365, 69,135,187, 35,354,373,261,136, 3679 171, 99,359,381)( 6,138,243,292,352,429, 65,151,507, 38,330,245,260, 3680 160,427, 97,343,509)( 7,186, 51,290,376,301, 72,175,123, 39,378, 53, 3681 258,184,299,104,367,125)( 8,170,115,295,384, 45, 66,183,315, 40,362, 3682 117,263,192, 43, 98,375,317)( 9,210,500,286,400,233, 84,479,446) 3683 ( 10,242,308,288,432,105, 87,511, 62)( 11,226,372,285,392,169, 83,487, 3684 382, 13,194,180,283,424,361, 85,455,190)( 12,218,436,281,408,489, 86, 3685 463,254)( 14,202,244,284,416,425, 81,471,510)( 15,250, 52,282,440, 3686 297, 88,495,126)( 16,234,116,287,448, 41, 82,503,318) 3687 ( 17,466,502,270,208,236, 92,415,441)( 18,498,310,272,240,108, 95,447, 3688 57)( 19,482,374,269,200,172, 91,423,377, 21,450,182,267,232,364, 93, 3689 391,185)( 20,474,438,265,216,492, 94,399,249)( 22,458,246,268,224, 3690 428, 89,407,505)( 23,506, 54,266,248,300, 96,431,121) 3691 ( 24,490,118,271,256, 44, 90,439,313)( 25,402,497,278,464,238, 76,223, 3692 444)( 26,434,305,280,496,110, 79,255, 60)( 27,418,369,277,456,174, 3693 75,231,380, 29,386,177,275,488,366, 77,199,188)( 28,410,433,273,472, 3694 494, 78,207,252)( 30,394,241,276,480,430, 73,215,508) 3695 ( 31,442, 49,274,504,302, 80,239,124)( 32,426,113,279,512, 46, 74,247, 3696 316)( 42,114,311,320, 48,106,119,319, 64)( 47,122, 55,314, 56,298, 3697 120,303,128)( 50,306,312,304,112,111,127, 63, 58)(129,147,483,358, 3698 333,197,132,155,419,353,341,453,134,139,227,356,349,389) 3699 (131,163,355,357,325,133)(137,211,484,350,397,193,148,475,422,329,213, 3700 452,158,395,225,340,477,390)(140,219,420,345,405,449,150,459,230,332, 3701 221,388,153,403,481,342,461,198)(141,195,164,347,421,321,149,451,166, 3702 331,229,324,157,387,161,339,485,326)(142,203,228,348,413,385,145,467, 3703 486,334,205,196,156,411,417,337,469,454)(165,323)(201,212,476,414, 3704 393,209,468,478,398)(204,220,412,409,401,465,470,462,206) 3705 (214,460,222,396,217,404,473,406,457), 3706 ( 1,177,148, 18,306,268, 14,438,412, 27,243,236, 48,504,452) 3707 ( 2,305,140, 22,434,284, 11,246,428, 32,499,196, 41,184,468) 3708 ( 3,241,172, 24,498,260, 9,182,404, 26,307,204, 46,440,476) 3709 ( 4, 49,180, 20, 50,308, 12, 54,436, 28, 51,244, 44, 56,500) 3710 ( 5,369,164, 23,114,316, 13,374,420, 31,115,252, 45,376,484, 7,113, 3711 188, 21,370,292, 15,118,444, 29,371,228, 47,120,508)( 6,433,156, 19, 3712 242,300, 16,502,388, 25,179,212, 42,312,460)( 8,497,132, 17,178,276, 3713 10,310,396, 30,435,220, 43,248,492)( 33,183, 84, 58,309,332, 38,439, 3714 92, 59,245,364, 40,503, 68, 57,181,340, 34,311, 76, 62,437,348, 35, 3715 247,108, 64,501,324)( 36, 55,116, 60, 53,372)( 37,375,100, 63,117,380 3716 )( 39,119,124, 61,373,356)( 65,185,149,338,290,271, 78,446,413,347, 3717 227,239,112,512,453,321,161,151, 82,314,269,334,422,415, 91,251,237, 3718 368,488,455)( 66,313,141,342,418,287, 75,254,429,352,483,199,105,192, 3719 469,322,289,143, 86,442,285,331,230,431, 96,507,197,361,168,471) 3720 ( 67,249,173,344,482,263, 73,190,405,346,291,207,110,448,477,323,225, 3721 175, 88,506,261,329,166,407, 90,315,205,366,424,479)( 69,377,165,343, 3722 98,319, 77,382,421,351, 99,255,109,384,485,327, 97,191, 85,378,293, 3723 335,102,447, 93,379,229,367,104,511)( 70,441,157,339,226,303, 80,510, 3724 389,345,163,215,106,320,461,326,417,159, 83,250,301,336,486,391, 89, 3725 187,213,362,296,463)( 71,121,189,341,354,295, 79,126,445,349,355,231, 3726 111,128,509,325,353,167, 87,122,317,333,358,423, 95,123,253,365,360, 3727 487)( 72,505,133,337,162,279, 74,318,397,350,419,223,107,256,493,328, 3728 481,135, 81,186,277,330,294,399, 94,443,221,363,232,495)(101,383) 3729 (103,127,125,381,357,359)(129,145,146,274,266,270,398,414,411,219,235, 3730 240,496,456,449)(130,273,138,278,394,286,395,222,427,224,491,200,489, 3731 136,465)(131,209,170,280,458,262,393,158,403,218,299,208,494,392,473) 3732 (134,401,154,275,202,302,400,478,387,217,171,216,490,264,457) 3733 (137,150,402,282,267,206,430,416,475,195,233,176,472,450,257) 3734 (139,214,426,288,459,198,425,160,467,194,297,144,470,386,281) 3735 (142,406,410,283,203,238,432,480,451,193,169,152,466,258,265) 3736 (147,210,298,272,462,390,409,155,211,234,304,464,454,385,153) 3737 (174,408,474,259,201) ] ], 3738[ 8, 196644962304000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3739 "Alt(8)^3.Sym(4)", [ "A", 8, 3 ], 3740 [ ( 1, 94, 9,350, 11,374,459,375,451,119,449, 95)( 2,110,137,348, 19,438, 3741 458,367,131,116,465,415)( 3,118,457,351)( 4, 86,393,346, 43,182, 3742 460,343,387,114,489,159)( 5,126,201,349, 59,246,461,383,195,117,505, 3743 223)( 6, 78,329,347, 51,502,463,327, 67,113,473, 31) 3744 ( 7, 70, 73,345, 27, 54,462,335,323,115,497,479)( 8,102,265,352, 35, 3745 310,464,359,259,120,481,287)( 10,366,139,372,467,439,450,111,129, 92, 3746 17,414)( 12,342,395,370,491,183,452, 87,385, 90, 41,158) 3747 ( 13,382,203,373,507,247,453,127,193, 93, 57,222)( 14,334,331,371,499, 3748 503,455, 71, 65, 89, 25, 30)( 15,326, 75,369,475, 55,454, 79,321, 91, 3749 49,478)( 16,358,267,376,483,311,456,103,257, 96, 33,286) 3750 ( 18,430,138,364,147,436,466,431,130,108,145,412)( 20,406,394,362,171, 3751 180,468,407,386,106,169,156)( 21,446,202,365,187,244,469,447,194,109, 3752 185,220)( 22,398,330,363,179,500,471,391, 66,105,153, 28) 3753 ( 23,390, 74,361,155, 52,470,399,322,107,177,476)( 24,422,266,368,163, 3754 308,472,423,258,112,161,284)( 26, 46,142,332,339,435,498,495,135, 68, 3755 81,409)( 29, 62,206,333,379,243,501,511,199, 69,121,217) 3756 ( 32, 38,270,336,355,307,504,487,263, 72, 97,281)( 34,302,144,356,275, 3757 440,482,303,136,100,273,416)( 36,278,400,354,299,184,484,279,392, 98, 3758 297,160)( 37,318,208,357,315,248,485,319,200,101,313,224) 3759 ( 39,262, 80,353,283, 56,486,271,328, 99,305,480)( 40,294,272,360,291, 3760 312,488,295,264,104,289,288)( 42,174,140,340,403,434,490,175,132, 84, 3761 401,410)( 44,150,396,338,427,178,492,151,388, 82,425,154) 3762 ( 45,190,204,341,443,242,493,191,196, 85,441,218)( 47,134, 76,337,411, 3763 50,494,143,324, 83,433,474)( 48,166,268,344,419,306,496,167,260, 88, 3764 417,282)( 53,510,207,325,123,241,477, 63,198, 77,377,219) 3765 ( 58,238,141,380,211,437,506,239,133,124,209,413)( 60,214,397,378,235, 3766 181,508,215,389,122,233,157)( 61,254,205,381,251,245,509,255,197,125, 3767 249,221)( 64,230,269,384,227,309,512,231,261,128,225,285)(146,428) 3768 (148,404,402,426,170,172)(149,444,210,429,186,236)(152,420,274,432, 3769 162,300)(164,276,408,418,298,176)(165,316,216,421,314,240) 3770 (168,292,280,424,290,304)(173,188,212,405,442,234)(189,252,213,445, 3771 250,237)(192,228,277,448,226,301)(229,317,256)(232,293,320), 3772 ( 1,125,343,417,269, 47,505,349,231,305,173,455, 89,213,439,137, 5, 3773 127,337,421,271, 41,509,351,225,309,175,449, 93,215,433,141, 7,121, 3774 341,423,265, 45,511,345,229,311,169,453, 95,209,437,143) 3775 ( 2,126,344,419,266, 46,512,347,226,310,176,451, 90,214,440,139) 3776 ( 3,122,342,424,267, 42,510,352,227,306,174,456, 91,210,438,144) 3777 ( 4,124,340,420,268, 44,508,348,228,308,172,452, 92,212,436,140) 3778 ( 6,128,339,418,270, 48,507,346,230,312,171,450, 94,216,435,138) 3779 ( 8,123,338,422,272, 43,506,350,232,307,170,454, 96,211,434,142) 3780 ( 9, 61,383,353,293,303,489,477,223,241,181,135, 65, 85,407,393, 13, 3781 63,377,357,295,297,493,479,217,245,183,129, 69, 87,401,397, 15, 57, 3782 381,359,289,301,495,473,221,247,177,133, 71, 81,405,399) 3783 ( 10, 62,384,355,290,302,496,475,218,246,184,131, 66, 86,408,395) 3784 ( 11, 58,382,360,291,298,494,480,219,242,182,136, 67, 82,406,400) 3785 ( 12, 60,380,356,292,300,492,476,220,244,180,132, 68, 84,404,396) 3786 ( 14, 64,379,354,294,304,491,474,222,248,179,130, 70, 88,403,394) 3787 ( 16, 59,378,358,296,299,490,478,224,243,178,134, 72, 83,402,398) 3788 ( 17,445,335, 33,317,367,481,285,239,497,157,199,113,149,391, 73, 21, 3789 447,329, 37,319,361,485,287,233,501,159,193,117,151,385, 77, 23,441, 3790 333, 39,313,365,487,281,237,503,153,197,119,145,389, 79) 3791 ( 18,446,336, 35,314,366,488,283,234,502,160,195,114,150,392, 75) 3792 ( 19,442,334, 40,315,362,486,288,235,498,158,200,115,146,390, 80) 3793 ( 20,444,332, 36,316,364,484,284,236,500,156,196,116,148,388, 76) 3794 ( 22,448,331, 34,318,368,483,282,238,504,155,194,118,152,387, 74) 3795 ( 24,443,330, 38,320,363,482,286,240,499,154,198,120,147,386, 78) 3796 ( 25,253,375,161,261,111,465,413,207, 49,189,327, 97,277,431,457, 29, 3797 255,369,165,263,105,469,415,201, 53,191,321,101,279,425,461, 31,249, 3798 373,167,257,109,471,409,205, 55,185,325,103,273,429,463) 3799 ( 26,254,376,163,258,110,472,411,202, 54,192,323, 98,278,432,459) 3800 ( 27,250,374,168,259,106,470,416,203, 50,190,328, 99,274,430,464) 3801 ( 28,252,372,164,260,108,468,412,204, 52,188,324,100,276,428,460) 3802 ( 30,256,371,162,262,112,467,410,206, 56,187,322,102,280,427,458) 3803 ( 32,251,370,166,264,107,466,414,208, 51,186,326,104,275,426,462) ] ], 3804[ 9, 196644962304000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3805 "Alt(8)^3.Sym(4)", [ "A", 8, 3 ], 3806 [ ( 1,222,357, 47,156,509, 18,288,389, 54,347,109, 12,473,213, 40,415,181, 3807 59, 90,269)( 2,286,325, 46,348,493, 20,480,405, 56,411,117, 11, 89, 3808 205, 33,223,165, 63,154,317)( 3, 94,333, 41,220,485, 23,160,445, 50, 3809 283, 69, 14,345,237, 36,479,149, 64,410,309)( 4,478,341, 48,412,501, 3810 19, 96,397, 49,219,101, 15,153,253, 34,287,133, 62,346,301) 3811 ( 5, 30,349, 45, 28,477, 21, 32,413, 53, 27, 93, 13, 25,221, 37, 31, 3812 157, 61, 26,285)( 6,350,365, 44,476,469, 24,416,437, 51, 91, 77, 9, 3813 217,229, 39,159,189, 58,282,261)( 7,158,381, 42,284,453, 22,352,429, 3814 52,475, 85, 16,409,245, 35, 95,141, 57,218,293)( 8,414,373, 43, 92, 3815 461, 17,224,421, 55,155,125, 10,281,197, 38,351,173, 60,474,277) 3816 ( 65,206,353,239,164,511,146,320,386,310,323,110,332,489,212,488,407, 3817 184,443,114,267)( 66,270,321,238,356,495,148,512,402,312,387,118,331, 3818 105,204,481,215,168,447,178,315)( 67, 78,329,233,228,487,151,192,442, 3819 306,259, 70,334,361,236,484,471,152,448,434,307)( 68,462,337,240,420, 3820 503,147,128,394,305,195,102,335,169,252,482,279,136,446,370,299) 3821 ( 71,142,377,234,292,455,150,384,426,308,451, 86,336,425,244,483, 87, 3822 144,441,242,291)( 72,398,369,235,100,463,145,256,418,311,131,126,330, 3823 297,196,486,343,176,444,498,275)( 73,201,225,231,167,191,186,314,258, 3824 262,326,366,364,492,468,472,408,440,435,115, 75)( 74,265,193,230,359, 3825 175,188,506,274,264,390,374,363,108,460,465,216,424,439,179,123) 3826 ( 76,457,209,232,423,183,187,122,266,257,198,358,367,172,508,466,280, 3827 392,438,371,107)( 79,137,249,226,295,135,190,378,298,260,454,342,368, 3828 428,500,467, 88,400,433,243, 99)( 80,393,241,227,103,143,185,250,290, 3829 263,134,382,362,300,452,470,344,432,436,499, 83)( 81,208,417,247,163, 3830 127,138,313,194,294,327,174,380,490,276,456,406,376,427,116,459) 3831 ( 82,272,385,246,355,111,140,505,210,296,391,182,379,106,268,449,214, 3832 360,431,180,507)( 84,464,401,248,419,119,139,121,202,289,199,166,383, 3833 170,316,450,278,328,430,372,491)( 97,207,161,255,162,319,130,318,322, 3834 302,324,494,340,496,404,504,403,120,395,113,203)( 98,271,129,254,354, 3835 303,132,510,338,304,388,502,339,112,396,497,211,104,399,177,251) 3836 (124,458,273,200,422,375,171), 3837 ( 1, 53,509,466,194,243,187,150,326,375,127, 81)( 2,245,507,146,198, 3838 371,191, 86,321, 55,125,465)( 3,181,510,338,199,115,185, 22,325,503, 3839 122,209)( 4,309,512,402,196,307,192,406,324,311,128,401) 3840 ( 5,501,506,210,195,179,190,342,327,119,121, 17)( 6,373,511, 82,193, 3841 51,189,470,322,247,123,145)( 7,117,505, 18,197,499,186,214,323,183, 3842 126,337)( 8,437,508,274,200,435,188,278,328,439,124,273) 3843 ( 9, 29,493,458,218,235,139,158,366,335, 95,105)( 10,221,491,138,222, 3844 363,143, 94,361, 15, 93,489)( 11,157,494,330,223,107,137, 30,365,463, 3845 90,233)( 12,285,496,394,220,299,144,414,364,271, 96,425) 3846 ( 13,477,490,202,219,171,142,350,367, 79, 89, 41)( 14,349,495, 74,217, 3847 43,141,478,362,207, 91,169)( 16,413,492,266,224,427,140,286,368,399, 3848 92,297)( 19,133,502,378,215, 67,177, 62,341,455,114,249) 3849 ( 20,261,504,442,212,259,184,446,340,263,120,441)( 21,453,498,250,211, 3850 131,182,382,343, 71,113, 57)( 23, 69,497, 58,213,451,178,254,339,135, 3851 118,377)( 24,389,500,314,216,387,180,318,344,391,116,313) 3852 ( 25, 45,461,474,234,203,155,174,334,351,111, 73)( 26,237,459,154,238, 3853 331,159,110,329, 31,109,457)( 27,173,462,346,239, 75,153, 46,333,479, 3854 106,201)( 28,301,464,410,236,267,160,430,332,287,112,393) 3855 ( 32,429,460,282,240,395,156,302,336,415,108,265)( 33, 37,485,482,226, 3856 227,163,166,358,359,103, 97)( 34,229,483,162,230,355,167,102,353, 39, 3857 101,481)( 35,165,486,354,231, 99,161, 38,357,487, 98,225) 3858 ( 36,293,488,418,228,291,168,422,356,295,104,417)( 40,421,484,290,232, 3859 419,164,294,360,423,100,289)( 42,205,475,170,206,347,175, 78,345, 47, 3860 77,473)( 44,269,480,426,204,283,176,398,348,303, 80,409) 3861 ( 48,397,476,298,208,411,172,270,352,431, 76,281)( 49, 61,469,450,242, 3862 251,147,134,374,383, 87, 65)( 50,253,467,130,246,379,151, 70,369, 63, 3863 85,449)( 52,317,472,386,244,315,152,390,372,319, 88,385) 3864 ( 54,381,471, 66,241, 59,149,454,370,255, 83,129)( 56,445,468,258,248, 3865 443,148,262,376,447, 84,257)( 60,277,456,434,252,275,136,438,380,279, 3866 72,433)( 64,405,452,306,256,403,132,310,384,407, 68,305) 3867 (260,312,448,404)(264,440,444,276)(268,288,432,396,284,304,400,412, 3868 300,272,416,428)(280,392,436,316)(292,296,424,420)(308,320,408,388) 3869 ] ], 3870[ 10, 393289924608000, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3871 "Sym(8) wreath Sym(3)", [ "A", 8, 3 ], 3872 [ ( 1,119,154,417, 69,287,145,104, 29,305, 82,416)( 2,439,130,423,133,295, 3873 149,296, 21,312, 18,440)( 3,247,170,419,197,303,147,232, 45,307,210, 3874 432)( 4,375,138,420,325,271,148,360, 13,308,338,400)( 5,311,146,424 3875 )( 6,503,186,422,453,319,150,488, 61,310,466,448)( 7,183,162,421, 3876 261,279,152, 40, 53,306,402,392)( 8, 55,178,418,389,263,151,168, 37, 3877 309,274,408)( 9,116,346,393, 68,351,137,100,349,265, 84,352) 3878 ( 10,436,322,399,132,359,141,292,341,272, 20,376)( 11,244,362,395,196, 3879 367,139,228,365,267,212,368)( 12,372,330,396,324,335,140,356,333,268, 3880 340,336)( 14,500,378,398,452,383,142,484,381,270,468,384) 3881 ( 15,180,354,397,260,343,144, 36,373,266,404,328)( 16, 52,370,394,388, 3882 327,143,164,357,269,276,344)( 17,120, 26,433, 66,415,129,103,157,289, 3883 85,288)( 19,248, 42,435,194,431,131,231,173,291,213,304) 3884 ( 22,504, 58,438,450,447,134,487,189,294,469,320)( 23,184, 34,437,258, 3885 407,136, 39,181,290,405,264)( 24, 56, 50,434,386,391,135,167,165,293, 3886 277,280)( 25,113, 90,409, 65, 95,153, 97, 93,281, 81, 96) 3887 ( 27,241,106,411,193,111,155,225,109,283,209,112)( 28,369, 74,412,321, 3888 79,156,353, 77,284,337, 80)( 30,497,122,414,449,127,158,481,125,286, 3889 465,128)( 31,177, 98,413,257, 87,160, 33,117,282,401, 72) 3890 ( 32, 49,114,410,385, 71,159,161,101,285,273, 88)( 35,245,298,403,200, 3891 47,179,226,429,259,215,176)( 38,501,314,406,456, 63,182,482,445,262, 3892 471,192)( 41,115,218,425, 67,223,169, 99,221,297, 83,224) 3893 ( 43,243,234,427,195,239,171,227,237,299,211,240)( 44,371,202,428,323, 3894 207,172,355,205,300,339,208)( 46,499,250,430,451,255,174,483,253,302, 3895 467,256)( 48, 51,242,426,387,199,175,163,229,301,275,216) 3896 ( 54,498,442,390,455,191,166,485,317,278,472, 64)( 57,118,474,441, 70, 3897 479,185,102,477,313, 86,480)( 59,246,490,443,198,495,187,230,493,315, 3898 214,496)( 60,374,458,444,326,463,188,358,461,316,342,464) 3899 ( 62,502,506,446,454,511,190,486,509,318,470,512)( 73, 92,345) 3900 ( 75,220,361)( 76,348,329)( 78,476,377)( 91,217,105)( 94,473,121) 3901 (107,219,233)(108,347,201)(110,475,249)(123,222,489)(124,350,457) 3902 (126,478,505)(203,236,363)(204,364,331)(206,492,379)(238,491,251) 3903 (252,366,459)(254,494,507)(334,460,380)(382,462,508), 3904 ( 1,370, 59, 66, 49,378, 3,114, 57,322, 51,122)( 2, 50, 58) 3905 ( 4,178, 60,130, 52,186)( 5,434, 64,450, 53,442, 8,498, 61,386, 56, 3906 506)( 6,306, 63,194, 54,314, 7,242, 62,258, 55,250) 3907 ( 9,338, 27, 74, 17,346, 11, 82, 25,330, 19, 90)( 10, 18, 26) 3908 ( 12,146, 28,138, 20,154)( 13,402, 32,458, 21,410, 16,466, 29,394, 24, 3909 474)( 14,274, 31,202, 22,282, 15,210, 30,266, 23,218)( 33,354, 35, 98 3910 )( 36,162)( 37,418, 40,482)( 38,290, 39,226)( 41,362, 43,106) 3911 ( 44,170)( 45,426, 48,490)( 46,298, 47,234)( 65,369,379, 67,113,377, 3912 323,115,121,321,371,123)( 68,177,380,131,116,185,324,179,124,129,372, 3913 187)( 69,433,384,451,117,441,328,499,125,385,376,507) 3914 ( 70,305,383,195,118,313,327,243,126,257,375,251)( 71,241,382,259,119, 3915 249,326,307,127,193,374,315)( 72,497,381,387,120,505,325,435,128,449, 3916 373,443)( 73,337,347, 75, 81,345,331, 83, 89,329,339, 91) 3917 ( 76,145,348,139, 84,153,332,147, 92,137,340,155)( 77,401,352,459, 85, 3918 409,336,467, 93,393,344,475)( 78,273,351,203, 86,281,335,211, 94,265, 3919 343,219)( 79,209,350,267, 87,217,334,275, 95,201,342,283) 3920 ( 80,465,349,395, 88,473,333,403, 96,457,341,411)( 97,353,355, 99) 3921 (100,161,356,163)(101,417,360,483)(102,289,359,227)(103,225,358,291) 3922 (104,481,357,419)(105,361,363,107)(108,169,364,171)(109,425,368,491) 3923 (110,297,367,235)(111,233,366,299)(112,489,365,427)(132,180,188) 3924 (133,436,192,452,181,444,136,500,189,388,184,508)(134,308,191,196,182, 3925 316,135,244,190,260,183,252)(140,148,156)(141,404,160,460,149,412, 3926 144,468,157,396,152,476)(142,276,159,204,150,284,143,212,158,268,151, 3927 220)(165,420,168,484)(166,292,167,228)(173,428,176,492) 3928 (174,300,175,236)(197,438,320,455,245,446,264,503,253,390,312,511) 3929 (198,310,319,199,246,318,263,247,254,262,311,255)(200,502,317,391,248, 3930 510,261,439,256,454,309,447)(205,406,288,463,213,414,272,471,221,398, 3931 280,479)(206,278,287,207,214,286,271,215,222,270,279,223) 3932 (208,470,285,399,216,478,269,407,224,462,277,415)(229,422,296,487) 3933 (230,294,295,231)(232,486,293,423)(237,430,304,495)(238,302,303,239) 3934 (240,494,301,431)(389,440,512,453,437,448,456,501,445,392,504,509) 3935 (397,408,480,461,405,416,464,469,413,400,472,477)(421,424,488,485) 3936 (429,432,496,493) ] ], 3937[ 11, 14224896, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 3938 "PSL(2, 7) wreath Alt(3)", [ "L", [ 2, 7 ], 3 ], 3939 [ ( 1,467,429,318,136,371,412,122, 16,343,221,290)( 2, 19,405,317,264,323, 3940 411,442, 64,344,349,282)( 3,403,445,320,328,347,410, 58, 24,341,285, 3941 258)( 4, 83,397,319,200,355,409,506, 48,342,157,306) 3942 ( 5,275,389,315,392,379,416,378, 32,338, 29,274)( 6,147,437,316, 72, 3943 331,415,250, 40,337,477,298)( 7,211,421,313,456,363,414,186, 56,340, 3944 93,266)( 8,339,413,314)( 9,471,237,294,129,499,428,126,144,375,220, 3945 98)( 10, 23,213,293,257,451,427,446,192,376,348, 90)( 11,407,253,296, 3946 321,475,426, 62,152,373,284, 66)( 12, 87,205,295,193,483,425,510,176, 3947 374,156,114)( 13,279,197,291,385,507,432,382,160,370, 28, 82) 3948 ( 14,151,245,292, 65,459,431,254,168,369,476,106)( 15,215,229,289,449, 3949 491,430,190,184,372, 92, 74)( 17,469,301,262,131,435,444,128,336,351, 3950 218, 34)( 18, 21,277,261,259,387,443,448,384,352,346, 26) 3951 ( 20, 85,269,263,195,419,441,512,368,350,154, 50)( 22,149,309,260, 67, 3952 395,447,256,360,345,474, 42)( 25,466, 45,278,133,307,388,123,400,383, 3953 224,354)( 27,402, 61,280,325,283,386, 59,408,381,288,322) 3954 ( 30,146, 53,276, 69,267,391,251,424,377,480,362)( 31,210, 37,273,453, 3955 299,390,187,440,380, 96,330)( 33,465,493,302,134,179,436,124, 80,335, 3956 223,226)( 35,401,509,304,326,155,434, 60, 88,333,287,194) 3957 ( 36, 81,461,303,198,163,433,508,112,334,159,242)( 38,145,501,300, 70, 3958 139,439,252,104,329,479,234)( 39,209,485,297,454,171,438,188,120,332, 3959 95,202)( 41,470,173,310,132,115,396,127,208,359,217,482) 3960 ( 43,406,189,312,324, 91,394, 63,216,357,281,450)( 44, 86,141,311,196, 3961 99,393,511,240,358,153,498)( 46,150,181,308, 68, 75,399,255,232,353, 3962 473,490)( 47,214,165,305,452,107,398,191,248,356, 89,458) 3963 ( 49,468,109,270,135,243,420,121,464,367,222,162)( 51,404,125,272,327, 3964 219,418, 57,472,365,286,130)( 52, 84, 77,271,199,227,417,505,496,366, 3965 158,178)( 54,148,117,268, 71,203,423,249,488,361,478,170) 3966 ( 55,212,101,265,455,235,422,185,504,364, 94,138)( 73,463,239,230,161, 3967 497,492,110,142,183,244,100)( 76, 79,207,231,225,481,489,494,174,182, 3968 180,116)( 78,143,247,228, 97,457,495,238,166,177,500,108) 3969 (102,137,503,236)(103,201,487,233,486,169,502,172,118,140,119,204) 3970 (105,462,175,246,164,113,460,111,206,167,241,484), 3971 ( 1,283, 60,257, 27,316)( 2,282, 58,258, 26,314)( 3,284, 57,259, 28, 3972 313)( 4,281, 59,260, 25,315)( 5,286, 64,261, 30,320) 3973 ( 6,288, 61,262, 32,317)( 7,287, 63,263, 31,319)( 8,285, 62,264, 3974 29,318)( 9,275, 52,265, 19,308)( 10,274, 50,266, 18,306) 3975 ( 11,276, 49,267, 20,305)( 12,273, 51,268, 17,307)( 13,278, 56,269, 3976 22,312)( 14,280, 53,270, 24,309)( 15,279, 55,271, 23,311) 3977 ( 16,277, 54,272, 21,310)( 33,291, 36,289, 35,292)( 34,290) 3978 ( 37,294, 40,293, 38,296)( 39,295)( 41,299, 44,297, 43,300)( 42,298) 3979 ( 45,302, 48,301, 46,304)( 47,303)( 65,347,124,321, 91,380) 3980 ( 66,346,122,322, 90,378)( 67,348,121,323, 92,377)( 68,345,123,324, 3981 89,379)( 69,350,128,325, 94,384)( 70,352,125,326, 96,381) 3982 ( 71,351,127,327, 95,383)( 72,349,126,328, 93,382)( 73,339,116,329, 3983 83,372)( 74,338,114,330, 82,370)( 75,340,113,331, 84,369) 3984 ( 76,337,115,332, 81,371)( 77,342,120,333, 86,376)( 78,344,117,334, 3985 88,373)( 79,343,119,335, 87,375)( 80,341,118,336, 85,374) 3986 ( 97,355,100,353, 99,356)( 98,354)(101,358,104,357,102,360)(103,359) 3987 (105,363,108,361,107,364)(106,362)(109,366,112,365,110,368)(111,367) 3988 (129,411,188,385,155,444)(130,410,186,386,154,442)(131,412,185,387, 3989 156,441)(132,409,187,388,153,443)(133,414,192,389,158,448) 3990 (134,416,189,390,160,445)(135,415,191,391,159,447)(136,413,190,392, 3991 157,446)(137,403,180,393,147,436)(138,402,178,394,146,434) 3992 (139,404,177,395,148,433)(140,401,179,396,145,435)(141,406,184,397, 3993 150,440)(142,408,181,398,152,437)(143,407,183,399,151,439) 3994 (144,405,182,400,149,438)(161,419,164,417,163,420)(162,418) 3995 (165,422,168,421,166,424)(167,423)(169,427,172,425,171,428)(170,426) 3996 (173,430,176,429,174,432)(175,431)(193,475,252,449,219,508) 3997 (194,474,250,450,218,506)(195,476,249,451,220,505)(196,473,251,452, 3998 217,507)(197,478,256,453,222,512)(198,480,253,454,224,509) 3999 (199,479,255,455,223,511)(200,477,254,456,221,510)(201,467,244,457, 4000 211,500)(202,466,242,458,210,498)(203,468,241,459,212,497) 4001 (204,465,243,460,209,499)(205,470,248,461,214,504)(206,472,245,462, 4002 216,501)(207,471,247,463,215,503)(208,469,246,464,213,502) 4003 (225,483,228,481,227,484)(226,482)(229,486,232,485,230,488)(231,487) 4004 (233,491,236,489,235,492)(234,490)(237,494,240,493,238,496)(239,495) 4005 ] ], 4006[ 12, 28449792, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 4007 "PSL(2, 7)^3.6", [ "L", [ 2, 7 ], 3 ], 4008 [ ( 1,161,497,337, 25,137,505,321, 33,177,465,345, 9,185,449,353, 49,145, 4009 473,329, 57,129,481,369, 17,153,457,377)( 2,168,499,338, 32,139,506, 4010 328, 35,178,472,347, 10,192,451,354, 56,147,474,336, 59,130,488,371, 4011 18,160,459,378, 8,163,498,344, 27,138,512,323, 34,184,467,346, 16, 4012 187,450,360, 51,146,480,331, 58,136,483,370, 24,155,458,384, 3,162, 4013 504,339, 26,144,507,322, 40,179,466,352, 11,186,456,355, 50,152,475, 4014 330, 64,131,482,376, 19,154,464,379)( 4,167,501,340, 31,141,508,327, 4015 37,180,471,349, 12,191,453,356, 55,149,476,335, 61,132,487,373, 20, 4016 159,461,380, 7,165,500,343, 29,140,511,325, 36,183,469,348, 15,189, 4017 452,359, 53,148,479,333, 60,135,485,372, 23,157,460,383, 5,164,503, 4018 341, 28,143,509,324, 39,181,468,351, 13,188,455,357, 52,151,477,332, 4019 63,133,484,375, 21,156,463,381)( 6,166,502,342, 30,142,510,326, 38, 4020 182,470,350, 14,190,454,358, 54,150,478,334, 62,134,486,374, 22,158, 4021 462,382)( 41,169,489,361)( 42,176,491,362, 48,171,490,368, 43,170, 4022 496,363)( 44,175,493,364, 47,173,492,367, 45,172,495,365) 4023 ( 46,174,494,366)( 65,225,433,273, 89,201,441,257, 97,241,401,281, 73, 4024 249,385,289,113,209,409,265,121,193,417,305, 81,217,393,313) 4025 ( 66,232,435,274, 96,203,442,264, 99,242,408,283, 74,256,387,290,120, 4026 211,410,272,123,194,424,307, 82,224,395,314, 72,227,434,280, 91,202, 4027 448,259, 98,248,403,282, 80,251,386,296,115,210,416,267,122,200,419, 4028 306, 88,219,394,320, 67,226,440,275, 90,208,443,258,104,243,402,288, 4029 75,250,392,291,114,216,411,266,128,195,418,312, 83,218,400,315) 4030 ( 68,231,437,276, 95,205,444,263,101,244,407,285, 76,255,389,292,119, 4031 213,412,271,125,196,423,309, 84,223,397,316, 71,229,436,279, 93,204, 4032 447,261,100,247,405,284, 79,253,388,295,117,212,415,269,124,199,421, 4033 308, 87,221,396,319, 69,228,439,277, 92,207,445,260,103,245,404,287, 4034 77,252,391,293,116,215,413,268,127,197,420,311, 85,220,399,317) 4035 ( 70,230,438,278, 94,206,446,262,102,246,406,286, 78,254,390,294,118, 4036 214,414,270,126,198,422,310, 86,222,398,318)(105,233,425,297) 4037 (106,240,427,298,112,235,426,304,107,234,432,299)(108,239,429,300,111, 4038 237,428,303,109,236,431,301)(110,238,430,302), 4039 ( 1,226, 72,233,424,110,409,166, 91,137,483, 76,497,292,117,313, 37,122 4040 )( 2,194,200,240,432,430,414,158,155,139,459,460,500,308,309,317, 4041 61, 58)( 3,202,456,236,440,302,413,190, 27,138,451,204,504,300,437, 4042 318, 29,186)( 4,242,264,237,448, 46,410,134,219,144,491,396,502,284, 4043 181,315, 13,506)( 5,250, 8,234,392,238,416,174,411,142,475,140,499, 4044 268,501,316, 53,314)( 6,218,136,235,400,494,412,182,283,141,507, 12, 4045 498,260,245,320, 45,442)( 7,210,328,239,408,366,415,150,347,143,467, 4046 332,503,276,373,319, 21,378)( 9,482, 68,241,296,109,441, 38, 90,129, 4047 227, 80,489,420,118,281,165,123)( 10,450,196,248,304,429,446, 30,154, 4048 131,203,464,492,436,310,285,189, 59)( 11,458,452,244,312,301,445, 62, 4049 26,130,195,208,496,428,438,286,157,187)( 14,474,132,243,272,493,444, 4050 54,282,133,251, 16,490,388,246,288,173,443)( 15,466,324,247,280,365, 4051 447, 22,346,135,211,336,495,404,374,287,149,379)( 17,354, 71,209,360, 4052 111,401,358, 95,145,355, 79,465,356,119,273,357,127)( 18,322,199,216, 4053 368,431,406,350,159,147,331,463,468,372,311,277,381, 63) 4054 ( 19,330,455,212,376,303,405,382, 31,146,323,207,472,364,439,278,349, 4055 191)( 20,370,263,213,384, 47,402,326,223,152,363,399,470,348,183,275, 4056 333,511)( 23,338,327,215,344,367,407,342,351,151,339,335,471,340,375, 4057 279,341,383)( 24,362,391,214,352,175,403,334,479,148,371,271,469,380, 4058 55,274,325,255)( 25,162, 67,201,488,108,433,294, 93,185, 35, 74,449, 4059 228,120,297,421,126)( 28,178,259,205,512, 44,434,262,221,192, 43,394, 4060 454,220,184,299,397,510)( 32,170,387,206,480,172,435,270,477,188, 51, 4061 266,453,252, 56,298,389,254)( 33, 98, 65,225,104,105,417,102, 89,161, 4062 99, 73,481,100,113,289,101,121)( 34, 66,193,232,112,425,422, 94,153, 4063 163, 75,457,484,116,305,293,125, 57)( 36,114,257,229,128, 41,418, 70, 4064 217,168,107,393,486, 92,177,291, 77,505)( 39, 82,321,231, 88,361,423, 4065 86,345,167, 83,329,487, 84,369,295, 85,377)( 40,106,385,230, 96,169, 4066 419, 78,473,164,115,265,485,124, 49,290, 69,249)( 42,386,198,224,176, 4067 427,398,478,156,179,267,461,508, 52,306,261,253, 64)( 48,426,390,222, 4068 160,171,395,462,476,180,307,269,509, 60, 50,258,197,256)( 81,353,103) 4069 ( 87,337,359) ] ], 4070[ 13, 28449792, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 4071 "PSL(2, 7) wreath Sym(3)", [ "L", [ 2, 7 ], 3 ], 4072 [ ( 1,454,222,159, 15,458,226,168, 48,491,211,148, 60,505,193,134, 30,479, 4073 207,138, 34,488,240,171, 19,468,252,185)( 2,486,224,175, 11,466,228, 4074 192, 41,451,214,156, 63,457,194,166, 32,495,203,146, 36,512,233,131, 4075 22,476,255,137)( 3,470,220,191, 9,450,230,160, 47,459,210,164, 64, 4076 489,195,150, 28,511,201,130, 38,480,239,139, 18,484,256,169) 4077 ( 4,510,217,135, 14,474,231,144, 42,483,216,172, 59,465,196,190, 25, 4078 455,206,154, 39,464,234,163, 24,492,251,145)( 5,502,221,183, 13,498, 4079 229,184, 45,499,213,180, 61,497,197,182, 29,503,205,178, 37,504,237, 4080 179, 21,500,253,177)( 6,478,223,143, 10,482,232,176, 43,467,212,188, 4081 57,449,198,158, 31,463,202,162, 40,496,235,147, 20,508,249,129) 4082 ( 7,462,218,167, 16,490,227,152, 44,507,209,132, 62,473,199,142, 26, 4083 487,208,170, 35,472,236,187, 17,452,254,153)( 8,494,219,151, 12,506, 4084 225,136, 46,475,215,140, 58,481,200,174, 27,471,204,186, 33,456,238, 4085 155, 23,460,250,161)( 49,453,246,157, 55,461,242,165, 56,493,243,149, 4086 52,509,241,133, 54,477,247,141, 50,485,248,173, 51,469,244,189) 4087 ( 53,501,245,181)( 65,262,350,415, 79,266,354,424,112,299,339,404,124, 4088 313,321,390, 94,287,335,394, 98,296,368,427, 83,276,380,441) 4089 ( 66,294,352,431, 75,274,356,448,105,259,342,412,127,265,322,422, 96, 4090 303,331,402,100,320,361,387, 86,284,383,393)( 67,278,348,447, 73,258, 4091 358,416,111,267,338,420,128,297,323,406, 92,319,329,386,102,288,367, 4092 395, 82,292,384,425)( 68,318,345,391, 78,282,359,400,106,291,344,428, 4093 123,273,324,446, 89,263,334,410,103,272,362,419, 88,300,379,401) 4094 ( 69,310,349,439, 77,306,357,440,109,307,341,436,125,305,325,438, 93, 4095 311,333,434,101,312,365,435, 85,308,381,433)( 70,286,351,399, 74,290, 4096 360,432,107,275,340,444,121,257,326,414, 95,271,330,418,104,304,363, 4097 403, 84,316,377,385)( 71,270,346,423, 80,298,355,408,108,315,337,388, 4098 126,281,327,398, 90,295,336,426, 99,280,364,443, 81,260,382,409) 4099 ( 72,302,347,407, 76,314,353,392,110,283,343,396,122,289,328,430, 91, 4100 279,332,442, 97,264,366,411, 87,268,378,417)(113,261,374,413,119,269, 4101 370,421,120,301,371,405,116,317,369,389,118,285,375,397,114,293,376, 4102 429,115,277,372,445)(117,309,373,437), 4103 ( 1,304,219,180,386,111,477,374)( 2,112,221,372,385,303,475,182) 4104 ( 3,176,218,116,389,367,473,310)( 4,432,223,500,390, 47,480,246) 4105 ( 5,368,217,308,387,175,474,118)( 6, 48,224,244,388,431,479,502) 4106 ( 7,496,222, 52,392,239,476,438)( 8,240,220,436,391,495,478, 54) 4107 ( 9,296,211,188,394,103,469,382)( 10,104,213,380,393,295,467,190) 4108 ( 11,168,210,124,397,359,465,318)( 12,424,215,508,398, 39,472,254) 4109 ( 13,360,209,316,395,167,466,126)( 14, 40,216,252,396,423,471,510) 4110 ( 15,488,214, 60,400,231,468,446)( 16,232,212,444,399,487,470, 62) 4111 ( 17,320,203,164,402,127,461,358)( 18,128,205,356,401,319,459,166) 4112 ( 19,192,202,100,405,383,457,294)( 20,448,207,484,406, 63,464,230) 4113 ( 21,384,201,292,403,191,458,102)( 22, 64,208,228,404,447,463,486) 4114 ( 23,512,206, 36,408,255,460,422)( 24,256,204,420,407,511,462, 38) 4115 ( 25,312,195,172,410,119,453,366)( 26,120,197,364,409,311,451,174) 4116 ( 27,184,194,108,413,375,449,302)( 28,440,199,492,414, 55,456,238) 4117 ( 29,376,193,300,411,183,450,110)( 30, 56,200,236,412,439,455,494) 4118 ( 31,504,198, 44,416,247,452,430)( 32,248,196,428,415,503,454, 46) 4119 ( 33,280,251,140,418, 87,509,334)( 34, 88,253,332,417,279,507,142) 4120 ( 35,152,250, 76,421,343,505,270)( 37,344,249,268,419,151,506, 78) 4121 ( 41,288,243,132,426, 95,501,326)( 42, 96,245,324,425,287,499,134) 4122 ( 43,160,242, 68,429,351,497,262)( 45,352,241,260,427,159,498, 70) 4123 ( 49,264,235,156,434, 71,493,350)( 50, 72,237,348,433,263,491,158) 4124 ( 51,136,234, 92,437,327,489,286)( 53,328,233,284,435,135,490, 94) 4125 ( 57,272,227,148,442, 79,485,342)( 58, 80,229,340,441,271,483,150) 4126 ( 59,144,226, 84,445,335,481,278)( 61,336,225,276,443,143,482, 86) 4127 ( 65,301,347,177,258,107,157,370)( 66,109,349,369,257,299,155,178) 4128 ( 67,173,346,113,261,363,153,306)( 69,365,345,305,259,171,154,114) 4129 ( 73,293,339,185,266, 99,149,378)( 74,101,341,377,265,291,147,186) 4130 ( 75,165,338,121,269,355,145,314)( 77,357,337,313,267,163,146,122) 4131 ( 81,317,331,161,274,123,141,354)( 82,125,333,353,273,315,139,162) 4132 ( 83,189,330, 97,277,379,137,290)( 85,381,329,289,275,187,138, 98) 4133 ( 89,309,323,169,282,115,133,362)( 90,117,325,361,281,307,131,170) 4134 ( 91,181,322,105,285,371,129,298)( 93,373,321,297,283,179,130,106) ] 4135 ], 4136[ 14, 28449792, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 4137 "PSL(2, 7)^3.Sym(3)", [ "L", [ 2, 7 ], 3 ], 4138 [ ( 1,240, 10,492,146,449,216, 9,236,138,452,152)( 2,496, 18,489,210,457, 4139 212,137,196,144, 4,176)( 3,368, 58,494,402,473,213, 73,228,143,260, 4140 184)( 5,112, 34,495,274,497,211,329,252,142,388,160) 4141 ( 6,432, 26,493, 82,481,215,265,244,139,324,192)( 7,304, 50,491,338, 4142 505,214,393,220,141, 68,168)( 8, 48, 42,490,466,465,209,201,204,140, 4143 132,136)( 11,364,186,454,408, 25,237, 74,484,151,257,248) 4144 ( 12,172,130,456, 24, 41,234,458,468,145,193,208)( 13,108,162,455,280, 4145 49,235,330,508,150,385,224)( 14,428,154,453, 88, 33,239,266,500,147, 4146 321,256)( 15,300,178,451,344, 57,238,394,476,149, 65,232) 4147 ( 16, 44,170,450,472, 17,233,202,460,148,129,200)( 19,361,250,462,404, 4148 153,197, 80, 36,175,258,504)( 20,169,194,464)( 21,105,226,463,276, 4149 177,195,336, 60,174,386,480)( 22,425,218,461, 84,161,199,272, 52,171, 4150 322,512)( 23,297,242,459,340,185,198,400, 28,173, 66,488) 4151 ( 27,365,122,486,407,281,245, 75,356,191,262,440)( 29,109, 98,487,279, 4152 305,243,331,380,190,390,416)( 30,429, 90,485, 87,289,247,267,372,187, 4153 326,448)( 31,301,114,483,343,313,246,395,348,189, 70,424) 4154 ( 32, 45,106,482,471,273,241,203,332,188,134,392)( 35,367,314,502,403, 4155 345,253, 78,420,159,261,120)( 37,111,290,503,275,369,251,334,444,158, 4156 389, 96)( 38,431,282,501, 83,353,255,270,436,155,325,128) 4157 ( 39,303,306,499,339,377,254,398,412,157, 69,104)( 40, 47,298,498,467, 4158 337,249,206,396,156,133, 72)( 43,362,506,470,401,217,205, 76,164,135, 4159 264, 56)( 46,426,474,469, 81,225,207,268,180,131,328, 64) 4160 ( 51,363,378,510,406,409,221, 77,100,167,263,312)( 53,107,354,511,278, 4161 433,219,333,124,166,391,288)( 54,427,346,509, 86,417,223,269,116,163, 4162 327,320)( 55,299,370,507,342,441,222,397, 92,165, 71,296) 4163 ( 59,366,442,478,405, 89,229, 79,292,183,259,376)( 61,110,418,479,277, 4164 113,227,335,316,182,387,352)( 62,430,410,477, 85, 97,231,271,308,179, 4165 323,384)( 63,302,434,475,341,121,230,399,284,181, 67,360) 4166 ( 91,357,127,294,439,283,373,123,358,447,286,437)( 93,101,103,295,311, 4167 307,371,379,382,446,414,413)( 94,421, 95,293,119,291,375,315,374,443, 4168 350,445)( 99,359,319,310,435,347,381,126,422,415,285,117) 4169 (102,423,287,309,115,355,383,318,438,411,349,125)(118,419,351,317), 4170 ( 1,418,196,487,259,166, 72, 33,386,228,455,291,134,104) 4171 ( 2,226,199,295,262,102, 65,417,388,484,451,163,136, 40) 4172 ( 3,162,200, 39,258,230, 71,289,390,100,449,419,132,488) 4173 ( 4,482,195,167,264, 38, 66,225,391,292,454, 99,129,424) 4174 ( 5,354,197,359,261,358, 69,353,389,356,453,355,133,360) 4175 ( 6, 98,193,423,260,486, 67,161,392, 36,450,227,135,296) 4176 ( 7,290,198,103,257,422, 68,481,387,164,456, 35,130,232) 4177 ( 8, 34,194,231,263,294, 70, 97,385,420,452,483,131,168) 4178 ( 9,410,204,479,267,158, 80, 25,394,220,463,283,142, 96) 4179 ( 10,218,207,287,270, 94, 73,409,396,476,459,155,144, 32) 4180 ( 11,154,208, 31,266,222, 79,281,398, 92,457,411,140,480) 4181 ( 12,474,203,159,272, 30, 74,217,399,284,462, 91,137,416) 4182 ( 13,346,205,351,269,350, 77,345,397,348,461,347,141,352) 4183 ( 14, 90,201,415,268,478, 75,153,400, 28,458,219,143,288) 4184 ( 15,282,206, 95,265,414, 76,473,395,156,464, 27,138,224) 4185 ( 16, 26,202,223,271,286, 78, 89,393,412,460,475,139,160) 4186 ( 17,402,212,471,275,150, 88)( 18,210,215,279,278, 86, 81,401,404,468, 4187 467,147,152, 24)( 19,146,216, 23,274,214, 87,273,406, 84,465,403,148, 4188 472)( 20,466,211,151,280, 22, 82,209,407,276,470, 83,145,408) 4189 ( 21,338,213,343,277,342, 85,337,405,340,469,339,149,344) 4190 ( 29,330,221,335,285,334, 93,329,413,332,477,331,157,336) 4191 ( 37,322,229,327,293,326,101,321,421,324,485,323,165,328) 4192 ( 41,442,236,511,299,190,112, 57,426,252,495,315,174,128) 4193 ( 42,250,239,319,302,126,105,441,428,508,491,187,176, 64) 4194 ( 43,186,240, 63,298,254,111,313,430,124,489,443,172,512) 4195 ( 44,506,235,191,304, 62,106,249,431,316,494,123,169,448) 4196 ( 45,378,237,383,301,382,109,377,429,380,493,379,173,384) 4197 ( 46,122,233,447,300,510,107,185,432, 60,490,251,175,320) 4198 ( 47,314,238,127,297,446,108,505,427,188,496, 59,170,256) 4199 ( 48, 58,234,255,303,318,110,121,425,444,492,507,171,192) 4200 ( 49,434,244,503,307,182,120)( 50,242,247,311,310,118,113,433,436,500, 4201 499,179,184, 56)( 51,178,248, 55,306,246,119,305,438,116,497,435,180, 4202 504)( 52,498,243,183,312, 54,114,241,439,308,502,115,177,440) 4203 ( 53,370,245,375,309,374,117,369,437,372,501,371,181,376) 4204 ( 61,362,253,367,317,366,125,361,445,364,509,363,189,368)(325,357) 4205 (333,349)(365,381) ] ], 4206[ 15, 56899584, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 4207 "PSL(2, 7)^3.Alt(4)", [ "L", [ 2, 7 ], 3 ], 4208 [ ( 1,263,375,366,427,219,228,165, 61)( 2, 71,343,362,107,211,226,101, 21) 4209 ( 3,199,359,365, 43,195,231,357, 45)( 4,135,383,361,299,243,230,421, 4210 29)( 5, 7,327,367,363,235,227,229, 37)( 6,391,351,364,171,251,225, 4211 293, 53)( 8,455,335,368,491,203,232,485, 13)( 9,264,503,334,432, 4212 475,204,168,509)( 10, 72,471,330,112,467,202,104,469) 4213 ( 11,200,487,333, 48,451,207,360,493)( 12,136,511,329,304,499,206,424, 4214 477)( 14,392,479,332,176,507,201,296,501)( 15,328,495,331,240,483, 4215 205, 40,453)( 16,456,463,336,496,459,208,488,461)( 17,258,119,342, 4216 426, 91,212,162,125)( 18, 66, 87,338,106, 83,210, 98, 85) 4217 ( 19,194,103,341, 42, 67,215,354,109)( 20,130,127,337,298,115,214,418, 4218 93)( 22,386, 95,340,170,123,209,290,117)( 23,322,111,339,234, 99,213, 4219 34, 69)( 24,450, 79,344,490, 75,216,482, 77)( 25,260,183,382,425,283, 4220 244,166,445)( 26, 68,151,378,105,275,242,102,405)( 27,196,167,381, 4221 41,259,247,358,429)( 28,132,191,377,297,307,246,422,413) 4222 ( 30,388,159,380,169,315,241,294,437)( 31,324,175,379,233,291,245, 38, 4223 389)( 32,452,143,384,489,267,248,486,397)( 33,261, 55,326,431,347, 4224 236,163,253)( 35,197, 39,325, 47,323,239,355,237)( 36,133, 63,321, 4225 303,371,238,419,221)( 44,131,255,353,301, 51,198,423,349) 4226 ( 46,387,223,356,173, 59,193,295,373)( 49,262,439,350,428,155,252,161, 4227 317)( 50, 70,407,346,108,147,250, 97,277)( 52,134,447,345,300,179, 4228 254,417,285)( 54,390,415,348,172,187,249,289,309)( 56,454,399,352, 4229 492,139,256,481,269)( 57,257,311,374,430,411,220,164,189) 4230 ( 58, 65,279,370,110,403,218,100,149)( 60,129,319,369,302,435,222,420, 4231 157)( 62,385,287,372,174,443,217,292,181)( 64,449,271,376,494,395, 4232 224,484,141)( 73,280,498, 78,408,474, 76,152,506)( 74, 88,466) 4233 ( 80,472,458)( 81,274,114, 86,402, 90, 84,146,122)( 89,276,178,126, 4234 401,282,116,150,442)( 92,148,186,121,273,306,118,406,410) 4235 ( 94,404,154,124,145,314,113,278,434)( 96,468,138,128,465,266,120,470, 4236 394)(137,320,497,270,440,478,396,160,508)(140,192,505,265,312,502, 4237 398,416,476)(142,448,473,268,184,510,393,288,500)(144,512,457,272, 4238 504,462,400,480,460)(153,316,177,318,433,286,436,158,444) 4239 (156,188,185,313,305,310,438,414,412)(180,190,441,281,308,182,446,409, 4240 284), ( 1,259,347,366,431,487,469,216,184,140, 74, 58) 4241 ( 2, 3,323,363,367,495,471,472,152,144,138, 10)( 4, 67,379,361,303, 4242 479,470,408,168,141,202, 50)( 5,195,371,364,111,511,465,280,160,142, 4243 394, 34)( 6,387,355,365,239,503,468, 88,192,137,266, 26) 4244 ( 7,451,339,368,175,463,466, 24,136,139,330, 42)( 8,131,331,362, 47, 4245 455,467,344,176,143,458, 18)( 9,258, 27,326,427,359,493,215,504,148, 4246 80,186)( 11,322, 43,327,491,343,496,151,464,146, 16,130) 4247 ( 12, 66, 59,321,299,351,494,407,488,149,208,178)( 13,194, 51,324,107, 4248 383,489,279,480,150,400,162)( 14,386, 35,325,235,375,492, 87,512,145, 4249 272,154)( 15,450, 19,328,171,335,490, 23,456,147,336,170) 4250 ( 17,264,155,334,426, 39,453,211,376,172, 79,506)( 20, 72,187,329,298, 4251 31,454,403,360,173,207,498)( 21,200,179,332,106, 63,449,275,352,174, 4252 399,482)( 22,392,163,333,234, 55,452, 83,384,169,271,474) 4253 ( 25,262,411,358,429,231,501,212,120,188, 73,314)( 28, 70,443,353,301, 4254 223,502,404,104,189,201,306)( 29,198,435,356,109,255,497,276, 96,190, 4255 393,290)( 30,390,419,357,237,247,500, 84,128,185,265,282) 4256 ( 32,134,395,354, 45,199,499,340,112,191,457,274)( 33,261,219,374,428, 4257 103,509,209,312,156, 78,442)( 36, 69,251,369,300, 95,510,401,296,157, 4258 206,434)( 37,197,243,372,108,127,505,273,288,158,398,418) 4259 ( 38,389,227,373,236,119,508, 81,320,153,270,410)( 40,133,203,370, 44, 4260 71,507,337,304,159,462,402)( 41,263,475,342,432,167,461,210, 56,132, 4261 75,378)( 46,391,483,341,240,183,460, 82, 64,129,267,346) 4262 ( 48,135,459,338)( 49,260, 91,382,425,295,477,214,440,164, 77,250) 4263 ( 52, 68,123,377,297,287,478,406,424,165,205,242)( 53,196,115,380,105, 4264 319,473,278,416,166,397,226)( 54,388, 99,381,233,311,476, 86,448,161, 4265 269,218)( 57,257,283,350,430,423,485,213,248,180, 76,122) 4266 ( 60, 65,315,345,302,415,486,405,232,181,204,114)( 61,193,307,348,110, 4267 447,481,277,224,182,396, 98)( 62,385,291,349,238,439,484, 85,256,177, 4268 268, 90)( 89,318,409,294,413,230,437,228,117,252,113,316) 4269 ( 92,126,441,289,285,222,438,420,101,253,241,308)( 93,254,433,292) 4270 ( 94,446,417,293,221,246,436,100,125,249,305,284)( 97,317,217,310,412, 4271 102,445,225,309,220,118,444)(116,124,121,313,281,286,414,422,421,229, 4272 245,244) ] ], 4273[ 16, 56899584, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 4274 "PSL(2, 7)^3.D_12", [ "L", [ 2, 7 ], 3 ], 4275 [ ( 1,277,139,105,258,461,177,300,330,505,312,204,353,319, 16,209,291, 79) 4276 ( 2,469,179,108,322,509,184,236,354,511, 56,212,355,127, 8,213,163, 4277 111)( 3, 85,131,109,130,493,178,492,370,508,376,252,360,255, 40,215, 4278 35, 87)( 4,341,187,112,194,485,183, 44,338,507,120,196,357,191, 48, 4279 210,483,119)( 5,149,171,106,450,501,180,364,378,512,248,228,359, 63, 4280 24,211, 99, 71)( 6,405,155,110,386,477,182,428,346,510,440,220,358, 4281 447, 32,214,419, 95)( 7, 21,147,107, 66,453,181,172,362,506,504,244, 4282 356,383, 64,216,227,103)( 9,273,267, 73,257,269,137,297,266,457,305, 4283 268,329,313,272,201,289,271)( 10,465,307, 76,321,317,144,233,290,463, 4284 49,276,331,121,264,205,161,303)( 11, 81,259, 77,129,301,138,489,306, 4285 460,369,316,336,249,296,207, 33,279)( 12,337,315, 80,193,293,143, 41, 4286 274,459,113,260,333,185,304,202,481,311)( 13,145,299, 74,449,309,140, 4287 361,314,464,241,292,335, 57,280,203, 97,263)( 14,401,283, 78,385,285, 4288 142,425,282,462,433,284,334,441,288,206,417,287)( 15, 17,275, 75, 65, 4289 261,141,169,298,458,497,308,332,377,320,208,225,295)( 18,467,115, 68, 4290 325,189,176,234,482,503, 52,340,379,128,200,229,167, 47) 4291 ( 19, 83, 67, 69,133,173,170,490,498,500,372,380,384,256,232,231, 39, 4292 23)( 20,339,123, 72,197,165,175, 42,466,499,116,324,381,192,240,226, 4293 487, 55)( 22,403, 91, 70,389,157,174,426,474,502,436,348,382,448,224, 4294 230,423, 31)( 25,278,395, 89,262,397,153,302,394,473,310,396,345,318, 4295 400,217,294,399)( 26,470,435, 92,326,445,160,238,418,479, 54,404,347, 4296 126,392,221,166,431)( 27, 86,387, 93,134,429,154,494,434,476,374,444, 4297 352,254,424,223, 38,407)( 28,342,443, 96,198,421,159, 46,402,475,118, 4298 388,349,190,432,218,486,439)( 29,150,427, 90,454,437,156,366,442,480, 4299 246,420,351, 62,408,219,102,391)( 30,406,411, 94,390,413,158,430,410, 4300 478,438,412,350,446,416,222,422,415)( 34,471, 51, 84,323,125,136,237, 4301 162,495, 50,468,371,124,328,253,168,239)( 36,343, 59, 88,195,101,135, 4302 45,146,491,114,452,373,188,368,250,488,247)( 37,151, 43, 82,451,117, 4303 132,365,186,496,242,484,375, 60,344,251,104,199)( 53,148,363,122,456, 4304 245,164,367, 58,472,243,100,327, 61,152,235, 98,455)(270,393,281) 4305 (286,398,409), ( 1, 49, 25, 57, 33, 17, 9)( 2,177, 30,249, 37, 81, 4306 10,129, 54,217, 61, 97, 18,137, 6,241, 29,121, 34,145, 14,193, 53, 4307 89, 58,161, 22,201, 5,113, 26,185, 38,209, 13, 65, 50,153, 62,225, 4308 21, 73)( 3,369, 31,505, 36,401, 11,321, 55,473, 60,417, 19,329, 7, 4309 497, 28,441, 35,337, 15,449, 52,409, 59,353, 23,457, 4,433, 27,377, 4310 39,465, 12,385, 51,345, 63,481, 20,393)( 8,305, 32,313, 40,273, 16, 4311 257, 56,281, 64,289, 24,265)( 42,169, 46,233, 45,105) 4312 ( 43,361, 47,489, 44,425)( 48,297)( 66,178,158,254,229, 85, 74,130, 4313 182,222,253,101, 82,138,134,246,221,125, 98,146,142,198,245, 93,122, 4314 162,150,206,197,117, 90,186,166,214,205, 69,114,154,190,230,213, 77) 4315 ( 67,370,159,510,228,405, 75,322,183,478,252,421, 83,330,135,502,220, 4316 445, 99,338,143,454,244,413,123,354,151,462,196,437, 91,378,167,470, 4317 204,389,115,346,191,486,212,397)( 68,434,155,382,231,469, 76,386,179, 4318 350,255,485, 84,394,131,374,223,509,100,402,139,326,247,477,124,418, 4319 147,334,199,501, 92,442,163,342,207,453,116,410,187,358,215,461) 4320 ( 70,242,157,126,226,149, 78,194,181, 94,250,165, 86,202,133,118,218, 4321 189,102,210,141)( 71,498,156,446,227,341, 79,450,180,414,251,357, 87, 4322 458,132,438,219,381,103,466,140,390,243,349,127,482,148,398,195,373, 4323 95,506,164,406,203,325,119,474,188,422,211,333)( 72,306,160,318,232, 4324 277, 80,258,184,286,256,293, 88,266,136,310,224,317,104,274,144,262, 4325 248,285,128,290,152,270,200,309, 96,314,168,278,208,261,120,282,192, 4326 294,216,269)(106,170,174,238,237,109)(107,362,175,494,236,429) 4327 (108,426,171,366,239,493)(110,234,173)(111,490,172,430,235,365) 4328 (112,298,176,302,240,301)(259,376,287,512,292,408,267,328,311,480,316, 4329 424,275,336,263,504,284,448,291,344,271,456,308,416,315,360,279,464, 4330 260,440,283,384,295,472,268,392,307,352,319,488,276,400) 4331 (264,312,288,320,296,280,272)(299,368,303,496,300,432) 4332 (323,375,479,508,420,403,331,327,503,476,444,419,339,335,455,500,412, 4333 443,355,343,463,452,436,411,379,359,471,460,388,435,347,383,487,468, 4334 396,387,371,351,511,484,404,395)(324,439,475,380,423,467,332,391,499, 4335 348,447,483,340,399,451,372,415,507,356,407,459)(363,367,495,492,428, 4336 427)(364,431,491) ] ], 4337[ 17, 113799168, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 4338 "PGL(2, 7) wreath Alt(3)", [ "L", [ 2, 7 ], 3 ], 4339 [ ( 1,464,225, 11,224,163, 28,184,292, 53,280,421, 23,432,359, 42,384, 98, 4340 62, 72,486)( 2,512, 97, 14,200,483, 25,144,228, 51,288,165, 20,440, 4341 295, 45,344,418, 63,112,358)( 3,480,161, 12,248,291, 29,152,420, 55, 4342 304,357, 18,448,103, 46,328,482, 57, 80,230)( 4,504,289, 13,216,419, 4343 31,176,356, 50,320,101, 22,392,487, 41,336,226, 59, 96,166) 4344 ( 5,472,417, 15,240,355, 26,192,100, 54,264,485, 17,400,231, 43,352, 4345 162, 60,120,294)( 6,456,481, 9,208,227, 27,160,164, 52,312,293, 21, 4346 408,423, 47,368,354, 58,128,102)( 7,496,353, 10,256, 99, 30,136,484, 4347 49,272,229, 19,416,167, 44,376,290, 61, 88,422)( 8,488, 33, 16,232, 4348 35, 32,168, 36, 56,296, 37, 24,424, 39, 48,360, 34, 64,104, 38) 4349 ( 65,462,193,459,217,139,220,179,284,181,276,437,279,429,343,426,383, 4350 106,382, 66,510)( 67,478,129,460,241,267,221,147,412,183,300,373,274, 4351 445, 87,430,327,490,377, 74,254)( 68,502,257,461,209,395,223,171,348, 4352 178,316,117,278,389,471,425,335,234,379, 90,190)( 69,470,385,463,233, 4353 331,218,187, 92,182,260,501,273,397,215,427,351,170,380,114,318) 4354 ( 70,454,449,457,201,203,219,155,156,180,308,309,277,405,407,431,367, 4355 362,378,122,126)( 71,494,321,458,249, 75,222,131,476,177,268,245,275, 4356 413,151,428,375,298,381, 82,446)( 73,206,195,475,153,140,244,307,285, 4357 149,404,439,303,365,338,442,127,110,326,450,505)( 76,246,259,477,145, 4358 396,247,299,349,146,444,119,302,325,466,441, 79,238,323,474,185) 4359 ( 77,214,387,479,169,332,242,315, 93,150,388,503,297,333,210,443, 95, 4360 174,324,498,313)( 78,198,451,473,137,204,243,283,157,148,436,311,301, 4361 341,402,447,111,366,322,506,121)( 81,398,199,491,345,138,252,115,286, 4362 133,468,433,271,237,339,410,191,108,374,258,509)( 83,414,135,492,369, 4363 266,253)( 84,438,263,493,337,394,255,107,350,130,508,113,270,197,467, 4364 409,143,236,371,282,189)( 85,406,391,495,361,330,250,123, 94,134,452, 4365 497,265,205,211,411,159,172,372,306,317)( 86,390,455,489,329,202,251, 4366 91,158,132,500,305,269,213,403,415,175,364,370,314,125) 4367 ( 89,142,196,499,281,141,212,435,287,173,340,434,319,109,342,386,511, 4368 105,334,194,507)(116,310,261,469,401,399,239,363,346,186,124,118,262, 4369 453,465,393,207,235,347,154,188), 4370 ( 1,338,422,129, 82,294,193,466, 38,321,402,166, 65,274,230,449, 18, 4371 358,385,146,102,257,210,486)( 2,342,417,130, 86,289,194,470, 33,322, 4372 406,161, 66,278,225,450, 22,353,386,150, 97,258,214,481) 4373 ( 3,343,424,131, 87,296,195,471, 40,323,407,168, 67,279,232,451, 23, 4374 360,387,151,104,259,215,488)( 4,340,420,132, 84,292,196,468, 36,324, 4375 404,164, 68,276,228,452, 20,356,388,148,100,260,212,484) 4376 ( 5,341,421,133, 85,293,197,469, 37,325,405,165, 69,277,229,453, 21, 4377 357,389,149,101,261,213,485)( 6,337,418,134, 81,290,198,465, 34,326, 4378 401,162, 70,273,226,454, 17,354,390,145, 98,262,209,482) 4379 ( 7,344,419,135, 88,291,199,472, 35,327,408,163, 71,280,227,455, 24, 4380 355,391,152, 99,263,216,483)( 8,339,423,136, 83,295,200,467, 39,328, 4381 403,167, 72,275,231,456, 19,359,392,147,103,264,211,487) 4382 ( 9,370,414,137,114,286,201,498, 30,329,434,158, 73,306,222,457, 50, 4383 350,393,178, 94,265,242,478)( 10,374,409,138,118,281,202,502, 25,330, 4384 438,153, 74,310,217,458, 54,345,394,182, 89,266,246,473) 4385 ( 11,375,416,139,119,288,203,503, 32,331,439,160, 75,311,224,459, 55, 4386 352,395,183, 96,267,247,480)( 12,372,412,140,116,284,204,500, 28,332, 4387 436,156, 76,308,220,460, 52,348,396,180, 92,268,244,476) 4388 ( 13,373,413,141,117,285,205,501, 29,333,437,157, 77,309,221,461, 53, 4389 349,397,181, 93,269,245,477)( 14,369,410,142,113,282,206,497, 26,334, 4390 433,154, 78,305,218,462, 49,346,398,177, 90,270,241,474) 4391 ( 15,376,411,143,120,283,207,504, 27,335,440,155, 79,312,219,463, 56, 4392 347,399,184, 91,271,248,475)( 16,371,415,144,115,287,208,499, 31,336, 4393 435,159, 80,307,223,464, 51,351,400,179, 95,272,243,479) 4394 ( 41,362,430,169,106,302,233,490, 46,361,426,174,105,298,238,489, 42, 4395 366,425,170,110,297,234,494)( 43,367,432,171,111,304,235,495, 48,363, 4396 431,176,107,303,240,491, 47,368,427,175,112,299,239,496) 4397 ( 44,364,428,172,108,300,236,492)( 45,365,429,173,109,301,237,493) 4398 ( 57,378,446,185,122,318,249,506, 62,377,442,190,121,314,254,505, 58, 4399 382,441,186,126,313,250,510)( 59,383,448,187,127,320,251,511, 64,379, 4400 447,192,123,319,256,507, 63,384,443,191,128,315,255,512) 4401 ( 60,380,444,188,124,316,252,508)( 61,381,445,189,125,317,253,509) ] 4402 ], 4403[ 18, 113799168, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 4404 "PSL(2, 7)^3.Sym(4)", [ "L", [ 2, 7 ], 3 ], 4405 [ ( 1,124, 14,506, 7,123, 13,512)( 2,127, 11,509, 8,121, 12,510) 4406 ( 3,125, 16,505, 4,126, 10,511)( 5,128, 9,508, 6,122, 15,507) 4407 ( 17,188, 54,442, 23,187, 53,448)( 18,191, 51,445, 24,185, 52,446) 4408 ( 19,189, 56,441, 20,190, 50,447)( 21,192, 49,444, 22,186, 55,443) 4409 ( 25,380, 38,250, 31,379, 37,256)( 26,383, 35,253, 32,377, 36,254) 4410 ( 27,381, 40,249, 28,382, 34,255)( 29,384, 33,252, 30,378, 39,251) 4411 ( 41,316, 46,314, 47,315, 45,320)( 42,319, 43,317, 48,313, 44,318) 4412 ( 57, 60, 62, 58, 63, 59, 61, 64)( 65, 76,462,450, 71, 75,461,456) 4413 ( 66, 79,459,453, 72, 73,460,454)( 67, 77,464,449, 68, 78,458,455) 4414 ( 69, 80,457,452, 70, 74,463,451)( 81,140,502,386, 87,139,501,392) 4415 ( 82,143,499,389, 88,137,500,390)( 83,141,504,385, 84,142,498,391) 4416 ( 85,144,497,388, 86,138,503,387)( 89,332,486,194, 95,331,485,200) 4417 ( 90,335,483,197, 96,329,484,198)( 91,333,488,193, 92,334,482,199) 4418 ( 93,336,481,196, 94,330,487,195)( 97,204,478,322,103,203,477,328) 4419 ( 98,207,475,325,104,201,476,326)( 99,205,480,321,100,206,474,327) 4420 (101,208,473,324,102,202,479,323)(105,268,494,258,111,267,493,264) 4421 (106,271,491,261,112,265,492,262)(107,269,496,257,108,270,490,263) 4422 (109,272,489,260,110,266,495,259)(113,396,470,130,119,395,469,136) 4423 (114,399,467,133,120,393,468,134)(115,397,472,129,116,398,466,135) 4424 (117,400,465,132,118,394,471,131)(145,180,438,402,151,179,437,408) 4425 (146,183,435,405,152,177,436,406)(147,181,440,401,148,182,434,407) 4426 (149,184,433,404,150,178,439,403)(153,372,422,210,159,371,421,216) 4427 (154,375,419,213,160,369,420,214)(155,373,424,209,156,374,418,215) 4428 (157,376,417,212,158,370,423,211)(161,244,414,338,167,243,413,344) 4429 (162,247,411,341,168,241,412,342)(163,245,416,337,164,246,410,343) 4430 (165,248,409,340,166,242,415,339)(169,308,430,274,175,307,429,280) 4431 (170,311,427,277,176,305,428,278)(171,309,432,273,172,310,426,279) 4432 (173,312,425,276,174,306,431,275)(217,348,358,226,223,347,357,232) 4433 (218,351,355,229,224,345,356,230)(219,349,360,225,220,350,354,231) 4434 (221,352,353,228,222,346,359,227)(233,284,366,290,239,283,365,296) 4435 (234,287,363,293,240,281,364,294)(235,285,368,289,236,286,362,295) 4436 (237,288,361,292,238,282,367,291)(297,300,302,298,303,299,301,304), 4437 ( 1,165,255,425,156,503,403,268,456,355,318,112,346, 54, 85,202) 4438 ( 2, 37,253,233,153,183,407,396,452,483,315,304,352,374, 86, 74) 4439 ( 3,293,256,361,158,119,402, 12,453,227,313,176,351,438, 84,458) 4440 ( 4,485,251,297,160,375,406, 76,450, 35,317,240,345,182, 87,394) 4441 ( 5,229,249,169,159,439,404,460,451,291,320,368,350,118, 82, 10) 4442 ( 6,101,250, 41,157,247,401,140,455,419,316,496,347,310, 88,330) 4443 ( 7,421,252,489,155,311,408,332,454, 99,314, 48,349,246, 81,138) 4444 ( 8,357,254,105,154, 55,405,204,449,163,319,432,348,502, 83,266) 4445 ( 9,133,231,441,172,479,435,276,464,323,294,128,362, 30,117,210) 4446 ( 11,261,232,377,174, 95,434, 20,461,195,289,192,367,414,116,466) 4447 ( 13,197,225,185,175,415,436,468,459,259,296,384,366, 94,114, 18) 4448 ( 14, 69,226, 57,173,223,433,148,463,387,292,512,363,286,120,338) 4449 ( 15,389,228,505,171,287,440,340,462, 67,290, 64,365,222,113,146) 4450 ( 16,325,230,121,170, 31,437,212,457,131,295,448,364,478,115,274) 4451 ( 17,141,199,417,188,495,411,308,472,331,262,104,378, 46, 93,242) 4452 ( 19,269,200,353,190,111,410, 52,469,203,257,168,383,430, 92,498) 4453 ( 21,205,193,161,191,431,412,500,467,267,264,360,382,110, 90, 50) 4454 ( 22, 77,194, 33,189,239,409,180,471,395,260,488,379,302, 96,370) 4455 ( 23,397,196,481,187,303,416,372,470, 75,258, 40,381,238, 89,178) 4456 ( 24,333,198, 97,186, 47,413,244,465,139,263,424,380,494, 91,306) 4457 ( 25,181,215,393,132,487,443,300,480,371,278, 80,322, 38,125,234) 4458 ( 26, 53,213,201,129,167,447,428,476,499,275,272,328,358,126,106) 4459 ( 27,309,216,329,134,103,442, 44,477,243,273,144,327,422,124,490) 4460 ( 28,501,211,265,136,359,446,108,474, 51,277,208,321,166,127,426) 4461 ( 29,245,209,137,135,423,444,492,475,307,280,336,326,102,122, 42) 4462 ( 32,373,214, 73,130, 39,445,236,473,179,279,400,324,486,123,298) 4463 ( 34, 61,237,217,177,151,399,388,484,507,299,288,376,342, 78, 66) 4464 ( 36,509,235,281,184,343,398, 68,482, 59,301,224,369,150, 79,386) 4465 ( 43,285,248,337,142, 71,418, 60,493,219,305,152,335,390,100,506) 4466 ( 45,221,241,145,143,391,420,508,491,283,312,344,334, 70, 98, 58) 4467 ( 49,149,207,385,164,511,427,284,504,339,270, 72,354, 62,109,218) 4468 ( 56,341,206, 65,162, 63,429,220,497,147,271,392,356,510,107,282) ] ], 4469[ 19, 113799168, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 4470 "PSL(2, 7)^3.Sym(4)", [ "L", [ 2, 7 ], 3 ], 4471 [ ( 1,350,162,305,325, 38,153,370,293)( 2,286,130,310,133, 54,157, 50,285) 4472 ( 3,414,170,311, 69, 62,156,242,269)( 4,222,138,307,389, 46,159,114, 4473 317)( 5, 30,154,306,261, 6,158,178,309)( 7, 94,186,308,197, 14, 4474 155,434,301)( 8,478,146,312,453, 22,160,498,277)( 9,347,418,297, 4475 327,102,185,372,229)( 10,283,386,302,135,118,189, 52,221) 4476 ( 11,411,426,303, 71,126,188,244,205)( 12,219,394,299,391,110,191,116, 4477 253)( 13, 27,410,298,263, 70,190,180,245)( 15, 91,442,300,199, 78, 4478 187,436,237)( 16,475,402,304,455, 86,192,500,213)( 17,352,482,273, 4479 328,486,145,376,485)( 18,288,450,278,136,502,149, 56,477) 4480 ( 19,416,490,279, 72,510,148,248,461)( 20,224,458,275,392,494,151,120, 4481 509)( 21, 32,474,274,264,454,150,184,501)( 23, 96,506,276,200,462, 4482 147,440,493)( 24,480,466,280,456,470,152,504,469)( 25,346,290,257, 4483 326,166,177,373, 37)( 26,282,258,262,134,182,181, 53, 29) 4484 ( 28,218,266,259,390,174,183,117, 61)( 31, 90,314,260,198,142,179,437, 4485 45)( 33,345,354,289,321,358,161,369,357)( 34,281,322,294,129,374,165, 4486 49,349)( 35,409,362,295, 65,382,164,241,333)( 36,217,330,291,385,366, 4487 167,113,381)( 39, 89,378,292,193,334,163,433,365)( 40,473,338,296, 4488 449,342,168,497,341)( 41,351, 98,313,324,230,137,371,421) 4489 ( 42,287, 66,318,132,246,141, 51,413)( 43,415,106,319, 68,254,140,243, 4490 397)( 44,223, 74,315,388,238,143,115,445)( 47, 95,122,316,196,206, 4491 139,435,429)( 48,479, 82,320,452,214,144,499,405)( 55, 93, 58,284, 4492 194,270,131,438,173)( 57,348,226,265,323,422,169,375,101) 4493 ( 59,412,234,271, 67,446,172,247, 77)( 60,220,202,267,387,430,175,119, 4494 125)( 63, 92,250,268,195,398,171,439,109)( 64,476,210,272,451,406, 4495 176,503, 85)( 73,379,420,233,335, 99,441,364,231)( 75,443,428,239, 4496 79,123,444,236,207)( 76,251,396,235,399,107,447,108,255) 4497 ( 80,507,404,240,463, 83,448,492,215)( 81,384,484,209,336,483,401,368, 4498 487)( 84,256,460,211,400,491,407,112,511)( 87,128,508,212,208,459, 4499 403,432,495)( 88,512,468,216,464,467,408,496,471)( 97,377,356,225, 4500 329,355,417,361,359)(100,249,332,227,393,363,423,105,383) 4501 (103,121,380,228,201,331,419,425,367)(104,505,340,232,457,339,424,489, 4502 343)(111,127,124,252,204,203,395,427,431)(337,360,481)(344,488,465), 4503 ( 1,351,171,244,314,393,360, 67,222,490,437, 64, 79,166,452,285, 41, 4504 375,187,204,290,385,352,107,246,506,397, 40, 71,158,492,309, 57,335, 4505 163,196,282,425,376,123,206,482,389, 32,111,182,508,269, 33,327,155, 4506 236,306,441,336, 99,198,474,429, 56,127,142,484,261, 25,367,179,252, 4507 266,417,328, 91,238,498,445, 16,103,134,476,301, 49,383,139,228,258, 4508 409,368,115,254,458,421, 8, 95,174,500,317, 9,359,131,220,298,433, 4509 384, 75,230,450,413, 48,119,190,460,293)( 2,415,176,116,318,457,357, 4510 3,223,170,436,320, 73,358,451,221, 42,439,192, 76,294,449,349, 43, 4511 247,186,396,296, 65,350,491,245, 58,399,168, 68,286,489,373, 59,207, 4512 162,388,288,105,374,507,205, 34,391,160,108,310,505,333, 35,199,154, 4513 428,312,121,334,483,197, 26,431,184,124,270,481,325, 27,239,178,444, 4514 272, 97,326,475,237, 50,447,144,100,262,473,365, 51,255,138,420,264, 4515 89,366,499,253, 10,423,136, 92,302,497,381, 11,231,130,412,304,113, 4516 382,459,229)( 4,287,169,372,315,201,354,387,224,106,438,512, 77, 38, 4517 455,157, 44,311,185,332,291,193,346,427,248,122,398,488, 69, 30,495, 4518 181, 60,271,161,324,283,233,370,443,208, 98,390,480,109, 54,511,141, 4519 36,263,153,364,307,249,330,419,200, 90,430,504,125, 14,487,133, 28, 4520 303,177,380,267,225,322,411,240,114,446,464,101, 6,479,173, 52,319, 4521 137,356,259,217,362,435,256, 74,422,456, 93, 46,503,189, 12,295,129, 4522 348,299,241,378,395,232, 66,414,496,117, 62,463,165)( 5, 31,175,180, 4523 316,265,353,323,219,234,434,448, 80,102,454,477, 45, 55,191,140,292, 4524 257,345,363,243,250,394,424, 72, 94,494,501, 61, 15,167,132,284,297, 4525 369,379,203,226,386,416,112,118,510,461, 37, 7,159,172,308,313,329, 4526 355,195,218,426,440,128, 78,486,453, 29, 47,183,188,268,289,321,347, 4527 235,242,442,400,104, 70,478,493, 53, 63,143,164,260,281,361,371,251, 4528 202,418,392, 96,110,502,509, 13, 39,135,156,300,305,377,331,227,194, 4529 410,432,120,126,462,485)( 17,343,147,212,274,401,344, 83,214,466,405, 4530 24, 87,150,468,277)( 18,407,152, 84,278,465,341, 19,215,146,404,280, 4531 81,342,467,213)( 20,279,145,340,275,209,338,403,216, 82,406,472, 85, 4532 22,471,149)( 21, 23,151,148,276,273,337,339,211,210,402,408, 88, 86, 4533 470,469) ] ], 4534[ 20, 227598336, 0, "4c", [ [ 343, 1 ], [ 147, 1 ], [ 21, 1 ] ], 1, 4535 "PGL(2, 7) wreath Sym(3)", [ "L", [ 2, 7 ], 3 ], 4536 [ ( 1,487,416,139,106, 21,358,444,265,119,216,323,506,285,182,236) 4537 ( 2,485,414,140,105, 23,360,443,266,117,214,324,505,287,184,235) 4538 ( 3,482,413,142,108, 17,359,448,267,114,213,326,508,281,183,240) 4539 ( 4,481,415,144,107, 18,357,446,268,113,215,328,507,282,181,238) 4540 ( 5,486,412,137,111, 24,355,442,269,118,212,321,511,288,179,234) 4541 ( 6,484,409,143,112, 19,354,445,270,116,209,327,512,283,178,237) 4542 ( 7,488,411,138,109, 22,356,441,271,120,211,322,509,286,180,233) 4543 ( 8,483,410,141,110, 20,353,447,272,115,210,325,510,284,177,239) 4544 ( 9,103,408,331,122,277,374,252,257,503,224,131,490, 29,166,428) 4545 ( 10,101,406,332,121,279,376,251,258,501,222,132,489, 31,168,427) 4546 ( 11, 98,405,334,124,273,375,256,259,498,221,134,492, 25,167,432) 4547 ( 12, 97,407,336,123,274,373,254,260,497,223,136,491, 26,165,430) 4548 ( 13,102,404,329,127,280,371,250,261,502,220,129,495, 32,163,426) 4549 ( 14,100,401,335,128,275,370,253,262,500,217,135,496, 27,162,429) 4550 ( 15,104,403,330,125,278,372,249,263,504,219,130,493, 30,164,425) 4551 ( 16, 99,402,333,126,276,369,255,264,499,218,133,494, 28,161,431) 4552 ( 33,423,400, 75, 82,341,382,316,305,247,200,451,474,157,174, 44) 4553 ( 34,421,398, 76, 81,343,384,315,306,245,198,452,473,159,176, 43) 4554 ( 35,418,397, 78, 84,337,383,320,307,242,197,454,476,153,175, 48) 4555 ( 36,417,399, 80, 83,338,381,318,308,241,199,456,475,154,173, 46) 4556 ( 37,422,396, 73, 87,344,379,314,309,246,196,449,479,160,171, 42) 4557 ( 38,420,393, 79, 88,339,378,317,310,244,193,455,480,155,170, 45) 4558 ( 39,424,395, 74, 85,342,380,313,311,248,195,450,477,158,172, 41) 4559 ( 40,419,394, 77, 86,340,377,319,312,243,194,453,478,156,169, 47) 4560 ( 49,231,392,459, 90,149,366, 60,289,439,208, 67,466,349,190,300) 4561 ( 50,229,390,460, 89,151,368, 59,290,437,206, 68,465,351,192,299) 4562 ( 51,226,389,462, 92,145,367, 64,291,434,205, 70,468,345,191,304) 4563 ( 52,225,391,464, 91,146,365, 62,292,433,207, 72,467,346,189,302) 4564 ( 53,230,388,457, 95,152,363, 58,293,438,204, 65,471,352,187,298) 4565 ( 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5452 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 5453 Z(2)^0 ] ] ] ], 5454[ 45, 1806336, 0, "1", [ [ 168, 1 ], [ 49, 1 ], [ 294, 1 ] ], 1, 5455 "2^9:((7:3) x GL(3, 2))", [ "Z", 2, 9 ], 5456 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 5457 0*Z(2) ], 5458 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 5459 0*Z(2) ], 5460 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 5461 0*Z(2) ], 5462 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 5463 0*Z(2) ], 5464 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 5465 0*Z(2) ], 5466 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 5467 0*Z(2) ], 5468 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 5469 0*Z(2) ], 5470 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 5471 0*Z(2) ], 5472 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 5473 Z(2)^0 ] ], 5474 [ [ 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0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 5973 Z(2)^0 ], 5974 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 5975 0*Z(2) ], 5976 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 5977 Z(2)^0 ], 5978 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 5979 0*Z(2) ], 5980 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 5981 0*Z(2) ], 5982 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 5983 0*Z(2) ] ] ] ]]; 5984PRIMGRP[513]:= 5985[[ 1, 5515776, 1, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3)", [ "2A", [ 2, 8 ], 1 ], 5986 [ ( 1,227, 14,323,423, 87,198,433,504,308,314,201, 78, 56,467, 99,404, 71, 5987 85)( 2,358,232,185,343,126, 69,149, 15,135,348, 89,429,411,437,236, 5988 469, 22,375)( 3,485,196, 51, 31,377,284,187,381,180,406,386,302,349, 5989 243,361,257,189,120)( 4,456,337,114,241,169,143,481,153,509,289,267, 5990 123,511, 79,175,197,454,231)( 5,412,188, 27,199,326, 73,144,315,181, 5991 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41,145,184,491,230,287,268, 93, 6005 332,379,372,311)( 26,203, 98,138,272,285,316,468,111, 83,148,387,324, 6006 206, 64,420,310,109,371)( 28,460,329,220,493, 72,154,254,219,447,360, 6007 205,218,170,127,312,266,258,129)( 29,496, 58,307,507, 47,251,425,430, 6008 508,510,107,171, 92,336,462,453,235,346)( 36,432,216,431,274,105,477, 6009 202, 82,233,455,383, 88,139,500,421,301,247,194)( 37,475,359,471,351, 6010 262,422,223,498,441,365,121,183, 55,347,242,452,451,350) 6011 ( 43,450,151,136,339,401,444,276,317,292,221,403, 52,303, 70,104,448, 6012 434,300)( 49,291,495,277,122,259,490,436,132, 66, 75,331,484, 59,385, 6013 108,380,182,338)( 54,407,165,239,212,112,473,186,217,288,487,438,293, 6014 240,388,214,140,341,435)( 61,478,427,353,103,414,357,415,488,445,319, 6015 225,222,426,512, 90,418,116,304)( 62,399,483,130,172,505,208,486,391, 6016 398,161,167,102,439,255,428,393,409,389), 6017 ( 1,332,129, 62, 23, 58,466,413,364,285,119, 4,209,150,292,296,227, 6018 232,224)( 2, 14,146,511, 40,203,360,231,395,326,354,163,383,184,396, 6019 430,278, 85,314)( 3,442,376,161,385, 35,270,252,128,294,168,512,464, 6020 449,289,367,342,241, 87)( 5, 52,149, 75,120,153,194,262,488,379,248, 6021 200,501,219,319, 42,321,373,407)( 6,506,214,302,298,293,239,409, 54, 6022 435, 60,295,140,101, 71,147,284,355,349)( 7,478,274,429,439,158,210, 6023 116,453,235,254,100,343,399,344,205,193,249,500)( 8,259,171,142, 26, 6024 95,496,223,192, 45,104,457,467,362,202,358, 99,371,366) 6025 ( 9,115, 94,320,222,323,336,234,135,141, 27,352, 46, 10, 66,441, 37, 6026 211,177)( 11,173,279, 33, 59,178, 90, 44,131,370,416,126, 47,286,456, 6027 330,121,217,229)( 12,283,462,263,394,391,368,365,257,311, 49,345, 97, 6028 268,482,339,247,207,377)( 13, 53,346,405, 50,487, 30,392,426,414,450, 6029 74,438,236,455,334,181,113,309)( 15,424,244,425, 28, 65,191, 67,359, 6030 486,318,221,267,123,499,185,422,162, 19)( 16,310,420,331,451,351,447, 6031 411, 17,393,363,348,172,256,400,389,230,275,269)( 18,388,111,196,454, 6032 190,381,423,384,258,277,387,189,151,137,280,265, 22,434) 6033 ( 20, 48,479,109,133,125,415,159,432,255,299,300, 39,328,491,122,475, 6034 297, 69)( 21, 56, 57, 24,460, 88, 82,350, 77,428,444,180,114,483,476, 6035 301,406, 80,198)( 25,468,461,226, 92,303,199,357,474,497,481,182,465, 6036 272,341,148,152,197,390)( 29,175, 34,436,117,507,443,316,404,143, 98, 6037 63,238,281,372,233,493,242, 96)( 31,132,509, 79,155,485,505,188,118, 6038 282,208,498,250,369,459, 32,160,154,305)( 36,228,484,494,418,312,290, 6039 510, 91,471,495,437,206,253,356, 61,338,212,473)( 38,504,337,421,124, 6040 401, 76,213,380, 78,273,169,204,492,347,164,375,458,266) 6041 ( 41,427,440,417,139,201,220,308,216,156,183,452, 89,112,329,382,419, 6042 72,480)( 43,215,127,246, 93,167,317, 51,313,490,144,446,477,225,431, 6043 195, 64,103,340)( 55,251,165,402,108,469,130,260,361,176,138, 86,136, 6044 333,245,218, 81,412,433)( 68,157,237,398,170,386,463,187,513,134, 84, 6045 374,327,107,145,105,403,174,166)( 70,291,324, 83,304,264,307,325,179, 6046 508,106,503,378,489,472,243,445,102,306)( 73,240,288,470,110,448,287, 6047 410,353,502,322,397,335,276,186,315,271,408,261) ] ], 6048[ 2, 11031552, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).2", 6049 [ "2A", [ 2, 8 ], 1 ], 6050 [ ( 1,477,107,473,139,319)( 2,495,370,457,154, 6)( 3,417, 97,363,362,419 6051 )( 4,425,128,432,469,328)( 5,170, 99,491,175, 35)( 7, 72, 66,100, 6052 64,440)( 8,390, 95)( 9, 76,124,409,311, 87)( 10,303,115, 26,321, 6053 322)( 11,348,352,350,404, 58)( 12,223,149,261,287, 73) 6054 ( 13,182,189,229,215,313)( 14,472, 56,320,280,108)( 15,157,231,314, 6055 111,379)( 16,475,308,271, 77,275)( 17,327,147,235, 44,113) 6056 ( 18,211,333,244,426,307)( 19,364,129, 24, 28,396)( 20, 57,306,499, 6057 246, 49)( 21,484,302,304,155,265)( 22,340,490,233,361, 43) 6058 ( 23,164,290,309,137,101)( 25, 55,336,393,200,227)( 27,316, 92,168, 6059 208,174)( 29,324,470,109,453,421)( 30,464,161,358,444,422) 6060 ( 31,351,278,510,125,173)( 32,456,106,344,288,103)( 33, 51,338,449, 6061 384,248)( 34,207,492,214,201,133)( 36,240,219,420,156,496) 6062 ( 37,399,220,218,195,366)( 38,498,119,176,511,458)( 39,357,374,230, 6063 270,153)( 40,283,293,443,185,502)( 41,224,148,289,318,297) 6064 ( 42,274,501,245,446,403)( 45,435,383,462,468,488)( 46,112,152,349, 6065 378, 62)( 47,117,253,342,317,367)( 48,203,408,345,183,486) 6066 ( 50,381,298,402,373,140)( 52,371,341, 88,166,252)( 53,343,249, 94, 6067 131,292)( 54,243,123,102, 96,503)( 59,380,494, 86,277,493) 6068 ( 60,411,143,394,118,286)( 61, 70,385,354,424,339)( 63,134,451,389, 6069 368,226)( 65,294,497,388,369,257)( 67,264,487,169,438,387) 6070 ( 68,266,347)( 69,126,500,400,377,455)( 71,482,505,416,196,471) 6071 ( 74,353,441,281,180, 91)( 75,331,375,312,269,481)( 78,433, 80, 89, 6072 423,360)( 79,461,210,130,171,228)( 81,247,299,202,359,295) 6073 ( 82,405,225,334,365,267)( 83,273,272,179,259,181)( 84,459,291,209, 6074 276,391)( 85,191,429,150,401,105)( 90,296,127,414,222,382) 6075 ( 93,326,122,513,263,372)( 98,467,509,186,329,397)(104,284,142,483, 6076 448,190)(110,452,508,184,415,310)(114,386,285,234,479,325) 6077 (116,450,512)(120,418,504,480,398,315)(121,206,151,236,337,268) 6078 (132,136,262,489,138,439)(135,445,410,260,407,144)(141,167,454,239, 6079 301,412)(145,242,197,355,434,437)(146,506,474,376,330,213) 6080 (158,232,300,406,395,323)(159,241,335,332,478,258)(160,460,436,442, 6081 198,205)(162,447,279,217,188,172)(163,254,428,413,204,178) 6082 (165,212,507,465,194,430)(177,256,356,463,476,237)(187,305,255,485, 6083 392,346)(192,193,250,251,216,431)(199,466,282,238,221,427), 6084 ( 1,416,194,231,232,253,272,397,440,182,446,379,296,466) 6085 ( 2, 5,201,478,373,235,164,184,157,116,113,142, 84,435) 6086 ( 3,375,415, 4,330,475,225,380,207,285,230,189,347,443) 6087 ( 6,208,306,155,172,411,261,262,324,114,424, 69,267,394) 6088 ( 7,178,412,328,204, 62,311,241,129,154, 50,290,294,389) 6089 ( 8,414, 57,289, 28,304,140, 93, 68,391,323,472, 49, 99) 6090 ( 9,202, 98,233,321, 65,358,111,229, 51, 59, 23,245,333) 6091 ( 10, 73,295,388, 64, 11,221,195,363,251,481,364,365,430) 6092 ( 12,278, 88,237,282,418,406,177,163,219, 21,258, 94,370) 6093 ( 13,458,176,218,122,429,452,121,211, 95,419, 14,359,395) 6094 ( 15,315,461,342,297,327, 52,158,139,349,280,482,444, 35) 6095 ( 16,469,460,213,119,190,254,503,309, 89,346,196,247,260) 6096 ( 17,434,192,264,377, 40,398,345,197,128,271,485,144,504) 6097 ( 18,205,198,101,263,279,179,335,383,497,348,156,117,246) 6098 ( 19,381,351,337, 39,112,274,326,404,422,498,338, 44, 79) 6099 ( 20,152, 38,313,292,186, 90,366,322,507,270,332,470,118) 6100 ( 22,106,150,312,236,448,502, 55,134,354,513,302,248,252) 6101 ( 24, 48,405,131, 81,355,407, 85, 58,386, 47,104,396,408) 6102 ( 25, 30,449,447, 80,136, 67,266,339,283, 45,181,175,436) 6103 ( 26,108, 77,344,462,250,382,409,277, 54,212,329,491,135) 6104 ( 27,244,293,183,393,170,188,360,268,459,310,308,206, 92) 6105 ( 29,173,169, 76, 72,102,291,486,226,224,167, 66,305,445) 6106 ( 31,438,223,319,428,125,281,432,400,255,423,220, 32,494) 6107 ( 33,161,273,456,234, 43,467,401,427,508,476,193,123,390) 6108 ( 34,387,284,483,439, 86,115)( 36,453,107, 82,488,480,148,147,185,392, 6109 174, 41,369,103)( 37,479,454,269,146,191,214,165, 87,512,441, 42,162, 6110 78)( 46,109,352,368,500,484, 53,215,403,227,350,420,492,336) 6111 ( 56,334,110,421, 75,222,209,287,210,367,276,340,320,143) 6112 ( 60,487,496,240,149,151,451,450,307,130, 70,493,288,372) 6113 ( 61,425,145,489,124,159,402,256,300,105,132,374,495,242) 6114 ( 63,471,133, 97,317,265,505,426,331,171,166, 96,376,465) 6115 ( 71,325,239,343,100,468,303,127,126,490,499, 83,473,298) 6116 ( 74,187,314,356,413,417,316,501,318,228,431,203,286,249) 6117 ( 91,442,477,474,238,160,259,153,341,378,455,299,357,243) 6118 (120,180,275,362,301,463,199,168,410,138,437,371,509,464) 6119 (137,457,433,216,257,384,511,200,141,510,506,353,399,385) ] ], 6120[ 3, 16547328, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).3", 6121 [ "2A", [ 2, 8 ], 1 ], 6122 [ ( 1,357, 48,227, 31,286,403,368,196,432,217,423, 10,318,435,137,364,494, 6123 340)( 2,412,219, 39,123,385,247,100,232,392,101,111,398,374,499,120, 6124 209,275,142)( 3,112,148,397,472,242,384,129,457, 32,153,431,377,124, 6125 26, 65,408,343,338)( 4,220,492,230,134,505, 14,117,285, 74, 9,198, 6126 83,502,304,375,396,442,351)( 5,152,182,504,411,180, 34,400,225,205, 6127 402,436,121,466,162, 63, 47,229,258)( 6,138,372,177,445,474,200,114, 6128 283, 15,430,416,127, 61,493,476, 24,222,513)( 7, 43,104,390,102,260, 6129 425,345,122,449,250,389,478,284,407,191,235,485,154)( 8,462, 73,316, 6130 70,509,324, 51,387,325,469,394,363,216,395, 78,322,166,132) 6131 ( 11,306,192, 45,105,365,409,239,265, 33,456,391,299, 80, 93, 22,379, 6132 56,207)( 12, 90, 29,268,370, 37,486, 44,139,358, 69,252,327,381, 94, 6133 46,420,278, 84)( 13,461,150,160, 50,277,471,193,331,115,164,280,410, 6134 360,168,488,444,214,497)( 16,190,426,332,287,174,501,455, 92,108,289, 6135 25,246,233,482,175, 52,429,428)( 17,314,481,342, 30, 91,169,273,328, 6136 107,144,300,128,480,350,382,413,103,311)( 18,369,352,234,126,279,477, 6137 448,443,291, 36,254,337,165,181,140,467,156,361)( 19, 89,433,145,208, 6138 146,274,248,503, 85, 97,302,323,359,458,271,296,295,189) 6139 ( 20,475,421,362,199,155,253,197,157,463, 35,218,241,341, 49, 72,269, 6140 315, 75)( 21,308,498, 98,344,336,453,437,251,495,460,213, 82,404,303, 6141 57,354,422,167)( 23,356, 64,470,373,473,439,301,310,243,383,508,326, 6142 27,262, 55,210,223,163)( 28,266, 40,440,312, 71,405,288,500,158,116, 6143 282,496,221,464,367,130,355,335)( 38,143,110,131, 86,245, 67,267,159, 6144 434,249,264, 59,333, 79,238,438,211,171)( 41,224,353,201, 87,393,371, 6145 298,212,118,376,329,256,465,366,334,297,215,185)( 42, 88, 95, 99,490, 6146 184,178,321,179,512,194,261,506,161,484,187, 54,206,244) 6147 ( 53, 81,346,226,240,378,231,170, 76,415,313,237,307,489,263, 58,427, 6148 317,309)( 60, 66,507,195,417,388,151,406, 62,141,305,459,491,293,272, 6149 292,133,468,401)( 68,446,419,511,510,255,257,259,451,320,270,135,281, 6150 399,290,294,113,203,347)( 77,136,236,424,119,106,339,441,176,349,147, 6151 276,186,454,386,330,450,228,319)( 96,479,172,183,149,380,109,487,188, 6152 173,414,348,447,202,204,452,418,125,483), 6153 ( 1,497,178,310,428,125,177, 40, 47,210, 74,151)( 2,100, 91,282,474, 6154 317,288, 66,255,411,285,432)( 3,180,478,321,382,388,145, 21, 26,430, 6155 193,150)( 4,142, 44,296,402,143, 37,439,113,362,233,496) 6156 ( 5,424,144,298, 43,135,189, 70,112,207,489,335)( 6,197,414,230,121, 6157 293,409, 22,284,508,138,221)( 7,367,169, 92,391, 83,266,356,510,292, 6158 35,328)( 8,389,275,152,368,257,472,423,123,457, 76,392) 6159 ( 9,347,444,339,407, 52,429,503,377,324,355,258)( 10,364, 82,107,397, 6160 18,470,248, 51,272, 58,466)( 11,268,433,359,463,477,227, 33, 17,101, 6161 403, 59)( 12,222,200,418,504,149, 50, 77, 89,396,485,247) 6162 ( 13,251,218,464,390,349,234,415,192,264,160,124)( 14,161,431,239, 34, 6163 122,297,146,494, 19,421,487)( 15,372, 55, 27,303, 90,330,475, 69,217, 6164 357,450)( 16,358,214,513,194,304,495,481, 24,176,279, 99) 6165 ( 20,378,301,231,329,196,286, 39,209, 65,323,235)( 23,291,340,106,202, 6166 166,483, 49,167,406, 67, 85)( 25, 88,278,476,501, 60,344,486,473,315, 6167 148,371)( 28,322,174,156,219,314,380,224,252,467,479,244) 6168 ( 29,103, 64,365, 57,491, 48,164,336, 73, 71,276)( 30, 41,172,401,213, 6169 256, 56,398,137,412,316,374)( 31, 98,294,318,353,351,405,400,453,187, 6170 78, 45)( 32,170,512,155,343,502,128,110,236,369,119,460) 6171 ( 36,199,383,326,363,446,426,129,299,131,195, 54)( 38,509,237, 87,462, 6172 416,455,361,158,190,253,141)( 42,305, 84,379,458,277,165,331,191,346, 6173 81,114)( 46,168,265,184,242,228,115,130,220,435,267,186) 6174 ( 53,300,332, 62,408,127,229,480,507,493,505,427)( 61,422,404,337,373, 6175 499,262,183,375,104,238,133)( 63,341,366,338,136,281,420,205,173,273, 6176 274,159)( 68,449,204,345, 86,325,468,201,417,223,241,370) 6177 ( 72,225,394,289,139,181,280,216,327,419,249,117)( 75,387,287,295,163, 6178 348,134,469,211,153,212,319)( 79,350,108,459,333,232,309,308,126,116, 6179 506,399)( 80,147,488,179,381, 97,111,260,461,270,105,243) 6180 ( 93,206,290,302)( 94,442,162,261,354,498,395,250,320,198,171,311) 6181 ( 95,226,271,438,360,334,456,263,484,452,283,269)( 96,246,384,352,441, 6182 454,215,436,118,425,471,254)(102,386,437,445,188,307,448,109,376,490, 6183 440,203)(120,132,451,393,434,443,312,259,500,157,465,245) 6184 (140,313,208,240,482,306,413,447,182,385,492,410)(154,185,511,342) ] 6185 ], 6186[ 4, 16547328, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).3", 6187 [ "2A", [ 2, 8 ], 1 ], 6188 [ ( 1, 40,409,486, 15,370,456, 36,131,400,441,327,113, 9,233,187,268,195, 6189 445, 53,413,407,241, 82, 22,318,411,356,287,211,412,331,266, 56,390, 6190 3,173,345,359,324,119, 54, 7,510, 91,260,204,440,243,403,493,421, 6191 32,457,107, 24, 12,393, 61,133,342, 99, 92)( 2,380,185,146, 39,357, 6192 4,226,346,361,482,156,480,262, 79,437,270, 77, 14,471,256,143,128, 6193 170,317,435,353,377,205,160, 80, 10,278, 72,155,439,469,475, 51,134, 6194 264, 78,290,312,321,325, 35, 23,188,118,276,296,484,500,292,410, 74, 6195 383,301,333, 81, 25,323)( 5,432,132,513,488,392, 63,338,474,203,117, 6196 198,455,116,196,472,347,465,352,120,220,229, 6,158,273,272,319,168, 6197 18, 73, 28,231,152,291,100,219,139,179, 97,126,302,386, 27,130,104, 6198 98,362,207,202,183,311,330,415,161,443,494,206,414, 88,459,349,214, 6199 101)( 8,320, 33,308,360,487,369,102,248,280,238,315,350,446,123,257, 6200 293,358,429,454,212,344,149, 13,512, 69,363,467,124,283, 65,453, 59, 6201 495,157,396,313,261,463,216,326,307,208,254,177, 71, 43,405,251,476, 6202 237,428,343, 94,240, 64,178, 37,399,418,255,277, 42)( 11,235,142,267, 6203 335,511,464,310,190,171,341,222,452, 84,166,448,110,382,112,314,109, 6204 294,227,247,103, 29,295,244, 47,408, 31,217,164,433,460,430,364,258, 6205 210,316,491, 75,141,389,191,444,186,478,129,473,420,505, 16,328,374, 6206 245,404,289,340,365,483,252, 57)( 17,281,503,176,332,329,148, 58,306, 6207 30,458,388,169,250,225,381,402,468,263,197,300,279,351,303,115,434, 6208 461,159,144,423,271,153,506,449,384, 96,180,125,417,259, 20, 52,224, 6209 397,284, 44,147,348,194,436, 85,368,425,394,172,424, 60,297,427,379, 6210 48,376, 87)( 19,165,239,462,373, 62,401,501,230,145,192,138,265, 21, 6211 127,151,336,223,288,299,492,378,140,234,137,201, 70,189,218,121, 86, 6212 485, 45,367,426,122,136,398,221, 41,371,228,489,193,438, 93,431,242, 6213 372,387, 49,181,498,470,111,199,466,184,213,502,477,154,215) 6214 ( 26,269,246, 67,451,167,150, 46, 90,391,508,282,108,275,416,450,182, 6215 385,395, 55,236,447,406,354,162,337,305,504,496,106,507, 68,375,309, 6216 479,322, 89,135,366,163,174,285, 50,334,490, 76,509,422,499,481,175, 6217 114,304, 66,209,286,339,200,497, 38, 83,232,355)( 34,419, 95,274,105, 6218 442,253), ( 1,499,210,255,231, 86,158,338, 8,470,289,229, 51,135, 6219 365, 57,483,276,482,269,228,164,286,381,182, 89,367,364, 3,339,242, 6220 239, 88,187, 55,180,464,201,117,113,178,134,400, 93,309,451,442,279, 6221 95, 35, 43,204,169,282, 26,119,173)( 2,199,304,469, 6, 60, 21, 80, 6222 230,335,393, 63,278,284,240, 97,509,146,399,153,474,114,495,322,406, 6223 125,140,496, 22,343,501, 65,361,168,124,262,505,484,344,430,246, 79, 6224 176,489, 90, 39,131,166,191,395,260,415, 29,377,453,437,436) 6225 ( 4,448,121, 66,385,424,421,244, 72,129, 9,142,418,407,258, 18,376, 6226 53,198,103,502,177,431,225,416,219,280,264,445,256,151,192,320,218, 6227 299,208,144, 7,466,266, 85,384, 56, 82, 70,368,373,185,303,456,150, 6228 248,504,449,161,162, 81)( 5,170,211,188, 41,419,243,513,478,351,232, 6229 508,363,296,291,195,302,196,411,371,147,100,394,238,141, 68,429, 16, 6230 157,510,390,298,403, 49,465,463,111,294,331,417,148,288,181,132,190, 6231 341,511,446,281,227,234,179, 36,126,379,220,405)( 10,247, 38,137,133, 6232 396,235,106,313,172,109,324,498,479,412,357,325,408,447,494, 15, 76, 6233 503,334,461,475,370, 84,160,102,194,372,214,301, 44,271,359, 87, 48, 6234 254,253, 25,319,362,116,340,425,308,434,312,349,481,215,285,440,512, 6235 61)( 11,358,156, 64, 33,432,375,462,265,167, 31,152,130,353,444,457, 6236 378,292, 71,217,275,433,310,241,443,360, 40,497, 98,108,506,273,277, 6237 251, 75,397,270,237,293,221,423,257,290,250,427,315, 27,318, 14,143, 6238 122,295,163,321,487,159,352)( 12,112,223,184, 17, 19,414,382,413,477, 6239 342,305,252,468,212, 94,485,287, 92,297,205,261,224, 78,327,222, 45, 6240 216,306,326,155, 99,491,127,249, 46,383, 50, 77,492,472,213, 28,226, 6241 346,200,123,426,476,105, 13,307,107,165, 47,267,174)( 20,450,459,486, 6242 138,175,439, 23,350,197,356,500, 58, 32,354,337,336,347,355,467,420, 6243 455,428,454,236,480,139,263,186,392,118,283,460,473,387,388,389,374, 6244 245,145,203,435,507,101, 96, 83, 24,409,404, 37,311,317,233,202,493, 6245 333, 91)( 30,490,369,128, 52, 73,189,149,345,274, 59,154,366,438,330, 6246 386,328,272,329,120,314,136,207,171,402,259,323, 42,332,268,300,316, 6247 441,398,104, 67,206,422, 34,348,471,380, 74,488,401,452,391,110,410, 6248 183,115,209, 54, 69,458, 62,193) ] ], 6249[ 5, 16547328, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).3", 6250 [ "2A", [ 2, 8 ], 1 ], 6251 [ ( 1,191,253,280,437,470,395, 59,154,107,206,207,211,180,105,432,320, 43, 6252 119)( 2, 66,121,104,304,228,174, 24,486,139, 7,487, 45,347, 60,185, 6253 420,386,375)( 3,393, 93,281, 76,279,340,464,507, 68,352,170,282,494, 6254 141,127,224,384,201)( 4, 33, 35,284,477,467, 61,403,332,407,328,482, 6255 153,275,353,462,431,308,410)( 5,168,155, 30,231,245,311,491,427,177, 6256 498,276,283,455,250,314,450,166,301)( 6,176, 18,118,248,366,512,181, 6257 296,424,101,102,425,503, 12,204,509,238,247)( 8,187,321, 89,100,269, 6258 365,502,342,241,388,318, 46,291,396,341,348,246, 11)( 9,357, 96, 62, 6259 337, 10,199, 36,178,327,142,428,405,197,489,312,399,125,378) 6260 ( 13,338,416, 55,415,158,223,112,391,193,412,451,351,232,317,504,359, 6261 325,165)( 14,103,303,446,252,505, 79,499,298,419,195,445,414, 17, 39, 6262 385,456, 42,264)( 15, 23,151,436,379,299,209,208, 97,418,409,133,380, 6263 162, 98,249,214,163,449)( 16,272,287,435,278,274,251, 64,313,377, 54, 6264 200, 44,434,273,135,190,453,122)( 19,374,237, 88,259,184,300,152,490, 6265 305,478, 77,123,306, 92,124,137,310,258)( 20,413,234,373,345,226,227, 6266 128,439,221,390,218,270,466, 63,160,213,404,459)( 21,441,444,179, 70, 6267 260,350,387, 52,115,110,400,188,244,463,324,421,501,173) 6268 ( 22,129,471,440,316,323,344,196,268,492,293, 69,497,476,242,326,448, 6269 364,262)( 25, 84,285,126, 48,263,426,265,145,513, 99,423,240,496, 83, 6270 398,161,132,216)( 26,394, 87,381, 65,194,389, 91, 95, 53, 80, 28,116, 6271 169,475,222,220,360, 34)( 27,361,147,202,511, 29,392,401,149,171,355, 6272 210,140,495,368,483,309,229,266)( 31,461, 81,356,156,369,267,212,376, 6273 472,457,469, 78,164, 47,203,198,131,290)( 32, 71,333,330,254,408,257, 6274 481,500,302, 38,157,397,362,349,458,443,485,292)( 37,454, 51,183,111, 6275 295,480,382, 90, 67, 85, 40,175,329,189,297,130,143,239) 6276 ( 41,442,182,402,510,150, 50,468,354,336,230,371,358,452,422, 72,205, 6277 172,219)( 49,370,146,429,108,363,114,506,109,315,134,288,120,307,113, 6278 75,235,117,372)( 56,144,508,331,319,411, 82,447,255,138,479,271,433, 6279 94,493,430, 57,294,383)( 58,106,474,473,192, 86,217,261,438,484,225, 6280 136,465,256,159,167,289,186,233)( 73,343,148,334,215,236,367,335,243, 6281 286,277,346,406,339, 74,417,460,488,322), 6282 ( 1,379,304,444,513,381,423,284, 31, 33,428,460,206,346, 77,303,475,336 6283 )( 2,311,488,195,233,313,287,199,275,279,389,196,174,181,186,226, 6284 367, 9)( 3,383,290,234,120,321,425, 59,216,257, 86,247,164,106, 73, 6285 430,496,129)( 4,457,482,268,387,258)( 5,292,341, 75,175,128,320, 6286 366,161,146,414,236, 60,351,158, 82,407,399)( 6,227,409, 29, 16,489, 6287 339,204,441,187,137,342,117,262,200,165, 46,130)( 7, 19,202, 83,305, 6288 61,252,502,264,323,443,215,136, 98,123,433,458,291)( 8,324,222, 42, 6289 418,251,170,451, 50,455,463,180,422,294,189, 13,512,365) 6290 ( 10,431,240,427,269, 81,493,473, 12,194,393,182,401, 36,352,500,484, 6291 99)( 11,127, 92,297, 27,348,490,293,166,410,328,363,167,248, 62,154, 6292 203,152)( 14,350,213,113,402,134,265,218,466,499,224,207, 68, 47,486, 6293 377, 78,446)( 15,445,205, 94,440,219,286,436, 52,485,176,330,133,277, 6294 140, 67,237,497)( 17,474,354,479,144,243,404, 95,271,148,316, 97, 64, 6295 289,386, 38, 80,355)( 18, 88,337,396,263, 57,382,312,105,310,282,260, 6296 89,476, 70, 20,435, 43)( 21,111,331,343, 72,376,242,314,419,453,370, 6297 115,505,159,472,308,374, 51)( 22,480,266,246,368,153,235,212,281, 74, 6298 390, 90,177,334, 63,467,217,340)( 23,439,142,244,478,380,192,448,356, 6299 462,503,230,198,491,151,156,301,329)( 24,504, 96,223,345,131,288,245, 6300 193,160,319,309,109, 26,437,183,259,471)( 25,272,125, 76,333,335,395, 6301 168,241,412,459,332, 41, 37,326,141, 79,208)( 28, 35,285, 58,184,452, 6302 483,171, 30,371,214,373,114, 40,511,394,100,221)( 32,250,391,438,118, 6303 267,361,191, 54,506,103,132,197,477,270,149,169,232)( 34,110,344,249, 6304 454,508, 45,143,119,375,315,231,299,417,405,420,398,461) 6305 ( 39,163,510,162,121,327,150,225, 91,201, 87,101,102,432,429,274,296, 6306 498)( 44,481,317,434, 69,403,353,190,147,122,112,494,424,406,470,408, 6307 468,155)( 48,229,487,388,256,372,108,228,306,456,185,364, 65,278,501, 6308 126,139,357)( 49, 53,385,415,179,116,107,188,298,400,307,447,210, 93, 6309 84,145,469,378)( 55,392,360,509,253,449,173,338,220,492,359, 85,322, 6310 495,124,261,465,138)( 56, 71,421,280,209,255,507,238,283,318,104,135, 6311 416,358,172,411,349,397)( 66,273,325,362,211,347,384,464,302,276,369, 6312 178,450,442,413,426,254,157)(239,300) ] ], 6313[ 6, 33094656, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).6", 6314 [ "2A", [ 2, 8 ], 1 ], 6315 [ ( 1, 43,269,344,137,460,493,386, 71,286, 34,394,506,470,423,270, 74,334) 6316 ( 2,317,501,112,179,510,449,340,122, 5,428,335,500,229,360, 21,273, 6317 412)( 3,472,357,279,342, 18,196,362, 99,481,139,305,467,477,125,243, 6318 84,143)( 4,128,453,238,164,378,217, 51,184,309,180,223, 65, 23,422, 6319 49, 72,476)( 6,224,499,101,159, 98,455,330,272,311,385, 33,296,277, 6320 420,413, 30,104)( 7,290, 83, 88,174,354,144, 32,236,225,484,173,304, 6321 201,202,405,119,446)( 8,121, 37,466, 55, 66,361,483,419,425,397,306, 6322 285,129, 24,319,307,124)( 9,206,314,434,161,337, 48, 82,293,189,447, 6323 138,399,376,136,247,407,134)( 10,209,218, 42,245,401,256,116,200,214, 6324 220,187, 16,289,152,445,244,109)( 11,132, 54,258,276, 93,322,194,198, 6325 262,343, 20,379,409,246,382,133,249)( 12,167,464,417,456,299,234,172, 6326 384,452,315,433, 57,288,507,427,486, 63)( 13,448,251, 56, 14,231,282, 6327 241, 47,411,165,450,216, 38,462,347,495,252)( 15,298,142,242,398,255, 6328 387,380,511,190,281,310,421,163,114, 95, 22,208)( 17,328,205,318,140, 6329 368,291,186,358,371,239,469,228,475,265,438, 89,488)( 19,182,313,359, 6330 485,257,512,373,321,430, 58,415,287,120,170,230, 59,503) 6331 ( 25,345,498,375,403,176,392, 69, 75,110,473, 52,156,389,459,442,292, 6332 41)( 26,131,474, 27,171,268,346,353,451)( 28,105,465,212,166, 97, 6333 203,280,193,325,204,197, 62,181,395, 44, 87, 46)( 29, 45,117,418,103, 6334 267, 36,509,126,479, 64,275,348, 39,333,274,377, 78)( 31,444,429,436, 6335 158,162,232,294,240,155, 61,111,213,188,149,341,300,160) 6336 ( 35,264,254,320,505,332,271,169,106,324,237,391,261,331, 91,308, 60, 6337 226)( 40,115,151,316,349, 85, 79,253,440,482,383,435,102,497,219,195, 6338 303,374)( 50,248,211,416,266,356,355,364,463,175,402,367,145,141,177, 6339 393,426,157)( 53,363,284,458,221,478,351,406,489,352,494,471,127,123, 6340 339,461,508,148)( 67,496, 94,454, 80,338,301,414,457,437,302,278,491, 6341 113,108,153, 73,424)( 68,388,222,350,192,100,323,227, 96,490,408,260, 6342 210,468,235,199,250,327)( 70, 86,295,312,168,381,372,329,185,410,513, 6343 504,178,283,366,365,369,487)( 76,191, 81,326,233,259,370,215,150,443, 6344 107,400, 92,263,492,183,118,431)( 77, 90,297,147,432,207,404,154,336, 6345 396,480,390,135,130,441,146,439,502), 6346 ( 1,413, 95,394,480,270,153)( 2,206, 61,408,128,237,118) 6347 ( 3,301,182,220,158, 8, 4)( 5,397,384,304,145,486, 36) 6348 ( 6,126,401,140,202, 72,403)( 7,114,223,245,333, 78,191) 6349 ( 9, 43,107,173,308, 84,500)( 10,121,119,272,506,287,324) 6350 ( 11,125,222,337,358, 38,232)( 12,378,487,459,407,492,411) 6351 ( 13,382,209,505,189, 35,146)( 14,226,164,398,204,503,445) 6352 ( 15,511,131,179,108,102,477)( 16,127,430,231,494,190,201) 6353 ( 17,180, 65,352, 18,267, 66)( 19,271,117,143,136,157,176) 6354 ( 20, 74,155,293, 30,246,263)( 21, 57,174, 87,112,142,129) 6355 ( 22,266,260,489,361, 98,211)( 23,225,279,318,393,160,467) 6356 ( 24, 49, 39,215,341,243,383)( 25,244,405,284,482,214,438) 6357 ( 26,262,208,370,391,224, 99)( 27, 64,122, 31, 97,229,264) 6358 ( 28,475,373,162,207,347, 56)( 29,192,455, 75,446,261,357) 6359 ( 32,120,161, 37,478, 73,426)( 33,265,312,322,288,193, 88) 6360 ( 34,374, 89,476,213,508,241)( 40, 52,502,479,395,200,276) 6361 ( 41,186,461,210,436,504,238)( 42,250,297,485,371,428,298) 6362 ( 44, 51,453, 62,137,303,104)( 45,177,195,396,280,326,444) 6363 ( 46,443,366,281,339,462,147)( 47,334,315,498,258,168,457) 6364 ( 48,255, 82,338,313,203, 77)( 50,133,368,205,414,101,464) 6365 ( 53,296,291,499,314,116,379)( 54,307,283,235,481,510,294) 6366 ( 55,419,349,187,416,285,239)( 58,472,234,302,365,268,325) 6367 ( 59,418,139,410,409,295,354)( 60,188,228,221,490,257,372) 6368 ( 63,412,363,330,327,306,305)( 67,249,300,377,420,448,507) 6369 ( 68,110,184,170,424,435,468)( 69,216,496,469,364,402,441) 6370 ( 71,389,466,512,415,385,321)( 76,212,346,299,282,217,344) 6371 ( 79,367,390,471,484,185,124)( 80, 86,219,376,450,404,311) 6372 ( 81,460,421,178, 90,329,386)( 83,242,439,240,388,278,431) 6373 ( 85,103,320,369,488,442,392)( 91,465,134,493,151,360,501) 6374 ( 92,319,159,197,451,138,345)( 93,183,252,328,236,495,433) 6375 ( 94,106,375,316,458,130,454)( 96,163,355,359,362,452,336) 6376 (100,427,150,422,423,259,144)(105,253,277,343,509,348,350) 6377 (109,230,335,254,437,269,491)(111,135,152,256,406,323,497) 6378 (113,434,399,447,198,167,196)(115,292,400,353,381,470,429) 6379 (123,149,181,194,309,248,474)(132,449,251,199,290,473,425) 6380 (141,233,156,247,342,432,274)(148,218,169,273,227,172,340) 6381 (154,463,331,351,171,332,456)(165,310,380,166,286,440,417) 6382 (275,483,289,317,387,356,513) ] ], 6383[ 7, 33094656, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).Sym(3)", 6384 [ "2A", [ 2, 8 ], 1 ], 6385 [ ( 1,328,352,413,417,187,439,468,397, 81, 18,311,147,477,105,224,513,405, 6386 79,235,496,357,338, 68, 23,174,399,154,116,345,346,123,443,216,296, 6387 208,233,113,420,429,464,342,483, 77, 46, 97,388,281,302,111,245,204, 6388 478,156, 99,101, 66,321,295,146,395,312,268)( 2,171,326,446,183,310, 6389 117, 85,305,479,128,427,497,401,179, 65,452,199,398,289,436,370,470, 6390 39,213,194, 94,362,125,384,246,347,160,286,390,447,259,323, 74,223, 6391 414,133, 27,339, 44,374,454,463,343,243,485,261,190,500,126, 42,108, 6392 103,210,472,315,264,381)( 3,437,249,166,351,115,284,512,337, 88,300, 6393 82,304,486,297,139,391,444, 22, 47, 17,363,353, 56,200,143,449,336, 6394 89,229,169,119,379,474, 41, 78,191,453,114,277,416,142,393,412,492, 6395 402,102, 16, 28, 25,481,410,442,469,386, 63,148, 40,244,318, 76,426, 6396 36)( 4,144,177,192,498,465,432, 92,466, 84,266, 73,487,109,324,254, 6397 232,495,506,307,212,152,138, 11,260,396, 90,134,329,309, 35,473, 71, 6398 118,237,332, 8, 5,220,195,100,198,382, 61,418, 33, 7,505, 12,290, 6399 375, 98,387,206,217,256,448,356,269,227,376, 83,247)( 6,165, 43,175, 6400 407, 20,240, 38,140,265, 86,509,476,239,316,136,493,130,106,494,197, 6401 314,184,350,335, 45,408,403,392,193,501,135, 93, 34,162,475, 49,163, 6402 502,482, 75,445,499,121,285,460,327,207,157,178,230,301,241,253,251, 6403 354,283,151,484,168,278, 58,242)( 9,107,180, 48,394, 10,257, 67,364, 6404 293,170,238,221,228,373,215,202,490, 54,308,383,341, 55,182,287, 52, 6405 96, 87, 64,267,361,349,435,510,378,319,459,415,322, 53,422,425, 14, 6406 218, 30,458,325,104,161,274,150,366,131,236,298, 13,271,455,480,132, 6407 248,389, 72)( 15,124, 26,141,372, 32,110,424,377,306,451,129,457, 80, 6408 400,201,250,303,145,434,158,122,263, 62,137, 59,282, 19,258,423,360, 6409 214,120,276,462,188,367,507,112,294,467,380, 51,333,252, 50,331,313, 6410 344,433,369,186,231,320,368,273,234,330,189,225, 91,185, 57) 6411 ( 21,340,450,211,348, 29,270, 70,406,385,172,441,159,226,504, 37,181, 6412 196,176,404,488,508,164,149,430,456,421, 69, 24,255,411,272,291, 95, 6413 31,292,503,431, 60,203,153,359,419,317,428,440,511,167,491,409,209, 6414 155,127,299,173,280,262,471,205,438,489,355,219)(222,365,334,275,461, 6415 358,371), ( 1, 66,318,294,399,196, 53, 18,213,320,513,425,390,277) 6416 ( 2, 14,281, 89, 80,461,332,380,260,202,240,220,207,446) 6417 ( 3,407,402,442,497,168,429,464,489,400,326,219,335,470) 6418 ( 4, 78, 69,237,410, 93,305,136,291,212,133,334,177,420) 6419 ( 5,418, 50,205, 15,474,255, 63,191,455,467,363,162,465) 6420 ( 6, 37, 40,358,155,426,110, 8,236, 43, 33,491,139,317) 6421 ( 7,422,119,440,231,262, 65,353,204,161,456,248,239,322) 6422 ( 9,151,371,185,433,394,487,211, 17,121,445,360, 46, 87) 6423 ( 10,352,378,356,115,350,389, 47,408,279, 60, 88,404,492) 6424 ( 11,344, 36,169,300,266,292,480,423, 59,314,327,190,278) 6425 ( 12,341,114,159,296, 45,506,386,323, 34, 51,481,437,129) 6426 ( 13,243,494,508,123,149,165,409,430, 91,112,187,316,346) 6427 ( 16,385,245,276,377,146, 90, 23,477,324,150,287,419,444) 6428 ( 19,414,471,145,387,137,225, 94,451,268,140, 26, 29,275) 6429 ( 20,505, 73,406,182,246,152, 22,364, 52, 39,479,457,391) 6430 ( 21,143,478,280,396,297,463, 62,283,375,315,484,325,148) 6431 ( 24,510,348,365,308,398,415,272,111,367,512,232, 81,228) 6432 ( 25,128,208,174, 74,273,238,469,271,473,247,321,181,388) 6433 ( 27,163,483,362,452,175,459,333,290,126,153,141,135, 61) 6434 ( 28, 96,338,108,486,309, 58,285,488,443,157,124, 49,116) 6435 ( 30,113,257,413,370,507,500,226,304,347,172,261,454,499) 6436 ( 31,286,178,441,351,411,403,173,200,303,368,382,131,217) 6437 ( 32, 44,421,118,160,328,188,117,284,354,359,374,154,183) 6438 ( 35,361, 95,263,376,373,460)( 38,170, 57, 48,167,498,227,189,288,230, 6439 439, 56,274,395)( 41, 97, 76,502,298,436,199,401,109,412,130,340,186, 6440 331)( 42,366,171, 67,466,184,301,156,259,179,349,449,416,214) 6441 ( 54,427,342,343,144,102,265,438,405, 79,496,142,295, 72) 6442 ( 55,103,122,180,462,223,158,229,495,435,192, 71,176,197) 6443 ( 64,379,270,475,147,434,504,302,307,345,299,264,222,319) 6444 ( 68,383, 92,120,369,306,458,125,424,127,384,472,503,106) 6445 ( 70,203, 99,509,193,201,101,235,289,105,215,417,453,244) 6446 ( 75,166,269,381,218,448,431,250,206,252,249,357,310,233) 6447 ( 77,224,468,258,313,134,450,100,447,329,485,482,476,293) 6448 ( 82,256,311,164,221,241,355,397,339,107,216,330, 86, 85) 6449 ( 83,337,210,254,104,501,392,251,312,194,490,282,428, 98) 6450 ( 84,267,195,198,132,393,138,372,493,242,253,336,432,209) ] ], 6451[ 8, 49641984, 0, "2", [ [ 512, 1 ] ], 2, "PSU(3, 2^3).3^2", 6452 [ "2A", [ 2, 8 ], 1 ], 6453 [ ( 1,451,153, 19,339,179,319,180, 11,471,480,376,494, 54,372,275, 8, 25) 6454 ( 2,357,447,198, 48,318,343, 17,217,262,213,233,152, 45, 66,133, 83, 6455 74)( 3,379,126, 82,174,401,312, 9,324,192,507,272,199,258,117,249, 6456 197,356)( 4,167,482,252,444,441, 15,434,410,508,220,123,121,487,114, 6457 34,414,156)( 5,472, 20, 86,254,148,246,334,327,102,212,336,274,210, 6458 259,235,496, 38)( 6,215,436,448,263,394,205,147,352,112,367, 42,454, 6459 457,348,421,330,349)( 7,358,108,413, 97,191,328,209,470,445, 73,439, 6460 84,326,456,101,509,346)( 10,511, 70,196,223,104,353, 92,250,181,206, 6461 234,360, 88,406,424,105,492)( 12,304,175,283,386,422, 31, 50,239,497, 6462 504, 24,506,172,467,137,380,404)( 13,222, 33,227,428,329,280,426, 65, 6463 292,261,359,177,301,399, 49,293, 40)( 14,510,228,294,405,432,178,469, 6464 135,313,466,363,170,443, 23, 96,435,157)( 16,473,200,158,395, 61, 78, 6465 388,243,460,237, 55, 79, 67,265,479,315, 22)( 18,354,204,219,211, 87, 6466 296, 62, 52,160, 51,478,169,332,267,264, 43,182)( 21, 64, 27,450,311, 6467 299,481,194,499, 99,340,375,297,416, 57,125,163,495)( 26,150,111,188, 6468 427,391, 91, 80,164,286,247,430,187,378, 94,273,455,442) 6469 ( 28,390,230,408,341,513,361,488,402,310,381,407,256,420,309,393,161, 6470 53)( 29,151,342,331,429,236,438,113,109,184,387,110,221,302,389, 93, 6471 90,216)( 30,127, 76,128,291,143,316,195,193,502,248,130,320,242,185, 6472 500,118,307)( 32,186, 85,107,122,132,244,214, 60,337,208, 95,366,370, 6473 270,145,282,385)( 35,225, 46,306,464,100,400,365, 56,465,493,425,347, 6474 411,485, 39,490,350)( 36,368,351,396, 69,266)( 37,303,245,176,138, 6475 89,173, 72, 81,409,268,139,271,468,226,463,298,168)( 41,134,503,136, 6476 486,162,189, 68,325,433,308,453,131,383,202,224,397,477) 6477 ( 44,240,218,364,142,207,171,284,446,276,232,115,278, 59,317,314,106, 6478 461)( 47, 71,333,374,483,403,338, 63,201,253,166,159,119,437,377,141, 6479 323,140)( 58,476,371,449,183,335,149,238,190,384,412,260,345,269,431, 6480 287,146,295)( 75,440,344, 98,251,255,290,322,382,505,279,475,484,491, 6481 355,474,231,305)( 77,452,373,498,281,285,103,417,419,458,418,462,144, 6482 512,203,321,289,288)(116,501,155,124,392,154,415,398,459,423,277,229, 6483 129,241,257,369,300,165)(120,489), 6484 ( 1, 59,344,198,214, 27,324,258,488,260,489,293,297,170,216, 79,402,478 6485 )( 2,460,371,181,381, 58,353,383,227, 62,378, 46, 96,417,505,377, 6486 442,422)( 3,147,274,233, 56,362,320,393,375,507,196,361,465,330,182, 6487 379, 69,447)( 4,396,395, 25,327,509,202,242,107,328, 60,105,504, 12, 6488 397, 63,130,458)( 5, 24,449,111,173,315,225, 8,430, 99,387,474,126, 6489 438,145,103,119,247)( 6,116,466,392,358, 34,299,376,300,144,100,369, 6490 284,420,157,102,167, 57)( 7,408, 86,464,136,176,496,471,120,132, 89, 6491 30, 18,278,252,204,382, 61)( 9,226,316,480,210,186,401, 71,158,394, 6492 36,109,363,251,257,508,502, 50)( 10,409,178,189,270, 39, 53,339, 33, 6493 209,468,277,445,467,172,140,174,482)( 11,400,454,133,452,473,212, 21, 6494 388,255, 52,207,253,283,319,398,352, 84)( 13,171, 68,462,164,246, 43, 6495 77,342,240, 83,423,341,272,421,113,151, 95)( 14,108,372,455,301,236, 6496 206,127,354,492, 19,411, 54,444,139,235,318,513)( 15,439,331,428,302, 6497 70,229,135,224,282, 76,137,292,463,159,312,309,390)( 16,332,114,121, 6498 131,491,254,484, 31,115,385,192,308,437,122,419,195,222)( 17,265) 6499 ( 20,296,298,281,469,285,304, 93,129,143,243,506,183,215,193, 47,248, 6500 269)( 22, 42,118,124,457,200,391,286,499,156,335,234,104,486,459,357, 6501 51,218)( 23, 73, 90,333,194,180,493,404,351,433,512,441,403,241,323, 6502 35,495,271)( 26,134,163,399,187,175,160,273, 91,294,264, 75,219,338, 6503 311,232,340,453)( 28,431,432,373,412,288, 80,138,305,477,217,201,406, 6504 470,188, 41,359, 45)( 29,434,415,266,220,148, 37,231,448,287,380,228, 6505 410,494,238,165, 82,244)( 32,510,476, 88,456,356,155, 49,483,337,125, 6506 97,245,256, 65,239,424, 81)( 38,485,290,280,249,184, 87,203,429,334, 6507 501, 64, 98,427,413,349,166,197)( 40,329,450,364,169,191,317,336, 67, 6508 498, 48,451,117,425,443,149,345,355)( 44,179,230,479,168, 55,211,276, 6509 291, 72,487,263,370,101,303,405,237,461)( 66,321,306, 92,389,326,185, 6510 268,322,348,500,418,343,310,365,503,123,142)( 74,262,472,314,374,153, 6511 190,497,347,350,128,267,199,261,446,435,213,275)( 78,346,440,150,289, 6512 366,223,307,367,141,511,436,407,177,475,110,368,146)( 85,250,490,208, 6513 154,152,426,279,112,325,295,205,384,106,481,416,360,414)( 94,161) 6514 (162,221)(259,313) ] ], 6515[ 9, 99283968, 0, "2", [ [ 512, 1 ] ], 2, "PGammaU(3, 2^3)", 6516 [ "2A", [ 2, 8 ], 1 ], 6517 [ ( 1,374,238, 83,155,163, 79,352, 3,184,405,313,435,216,454, 47,330, 77) 6518 ( 2,309, 82,421,285,500,328, 39,252,434,179,509, 42,207,141,477,246, 6519 187)( 4,263,332,138,492,195, 88,512,315, 5,198,415,151, 26,226,385, 6520 186,483)( 6,278,367,241,137,316,180,442,394,123, 85,126, 92,136, 36, 6521 513, 56,174)( 7, 73,486,208,340,439,472,436,267,425,463,393,236,450, 6522 292, 28,206,365)( 8,470, 89,102,355,300,181,176,133,308,387, 97,357, 6523 438,446,302, 81,182)( 9,510,310,247,113,375,271,185, 60,257,265, 30, 6524 373,258,416,359,494,441)( 10,336,480,130,223,311,290,390,464,282,391, 6525 440,204,465, 76,153,203,284)( 11,168,462,109,150, 38, 41,448, 43,117, 6526 414,244,234,288,428,101, 15,125)( 12,232,112,501,254,506,262,338, 54, 6527 511, 87,422, 53,294,287,171,305, 45)( 13,384,417,481,280,211, 80, 72, 6528 157,291, 57,389,183,188,122,235,202,220)( 14,351, 29, 68,196,147, 64, 6529 392, 98,127,276,346,274, 86,192,497, 21,170)( 16,424,383,378, 63,350, 6530 396, 61,432,217, 94, 51,135,485,386,430, 22, 95)( 17,452,356,161,474, 6531 121,119,426,312,406,323, 52,377,106,457,281,231,233)( 18,348,335,221, 6532 40,388,325,449,358,242,322,270,407, 20,145,225,467,455) 6533 ( 19,400,329,326,100,364,410,164,376,209, 48,299,261, 96,461,260,508, 6534 237)( 23,433,317,266,116,466,222,108,199,259,381,495,297,115, 34,215, 6535 395,224)( 24, 71,301,197,107,152,269,193,245,169,295,320,166,279,423, 6536 172,337,255)( 25,372,248,437,493,228,368,149,403,114, 66,412,129,379, 6537 404,398,240,419)( 27,445,177,456,178,298,144,370,158,468,250, 46, 69, 6538 227,353,160,118,363)( 31,229,289,201,409,253,354,212,214,293,469,167, 6539 362,128,230,344, 35,447)( 32,200,507,304,496,219,143,173,397, 59,314, 6540 499,191,306, 84,505,132,162)( 33,361,399,444,482,487,110,303,273,347, 6541 256,420,103,408, 75,283, 91, 74)( 37,341,307,120,343,146,251,319, 55, 6542 402,382,331,327, 67,249,451,131,334)( 44,380,342,475,360,471,190,218, 6543 418,479,296,413,345, 65,478,411,371,286)( 49,504,111,318,264,205,105, 6544 333,366,156,148, 58,268,489, 78,104,349,458)( 50,491,134,401,324,490, 6545 194, 62,453,277,159,460,502,498,175, 93,213,321)( 70,239,139, 99,142, 6546 243)( 90,339,488,275,140,473,503,272,427,165,431,124,459,484,154,189, 6547 369,443)(429,476), ( 1,161,279,429,144, 3,164,374,440,511,324,267, 6548 288,342,496,480,276,420)( 2,194,168,340,293,456,273,338,204, 67,240, 6549 86,242,261,151,274,381,107)( 4, 10,203,393, 44,320,438,123,441,444, 6550 223,159,495, 75, 14,268, 22,459)( 5,375,477,298,193,386, 32,388,197, 6551 150,304, 31,337, 66,353,367, 91,128)( 6,446,431,269, 81,363,434,124, 6552 196,294,497,217,346,466,305,291,137, 15)( 7, 9,366,316,283,460,226, 6553 33,235,354,503, 35,463,507,135,442, 65,392)( 8,453,189, 29,180,297, 6554 469,222,172,437, 28, 16,410, 77,345,509,300,271)( 11,396,332,100,202, 6555 398, 61,475,256,146,323,333,296,299,111,231,315,246)( 12,505,350,270, 6556 118,506, 34,233,165, 21,435,166,230,239, 40,258,423, 57) 6557 ( 13,409,248,481,362,307,108,335, 72,399, 73,163,205, 50, 84,364,175, 6558 218)( 17, 23,395,121,277,452,117,220,179,206,142,183,152,400,303,504, 6559 238, 62)( 18,426, 47,471,490,148, 49,361,430,377,317,382,499,191,215, 6560 99,336,244)( 19,418, 26,413,143, 45,212,228,347,457,141,192,292, 54, 6561 92,249,260,284)( 20, 24, 52,254,312, 89,419,236,211, 83,479,210,349, 6562 262,325,406,454,500)( 25,485,302,272,216,328,365,173,145,184,352, 30, 6563 264, 71,306,289,171,207)( 27,158,462,331,105, 55, 37, 78,482,414,127, 6564 450,439,103,120, 82, 42,170)( 36,101,402,157,358,250,379,489,219,371, 6565 88, 70, 53,369,407,501,464,116)( 38,156,247,470,214,209,275,313,167, 6566 311,391,411,472,136,155, 51,486, 94)( 39,301,326,138,199, 64,160,282, 6567 427,359,343,186,370,389,401, 69,243,387)( 41,188,484,232,185,140,178, 6568 474,468,181,198, 74,110,169,200,488,114,334)( 43,227,412,318,348,176, 6569 281,131,376,287,355,122,473,445,372,321,112,251)( 46, 90,104,153, 97, 6570 378,415,201,483,421, 48,467,508,394,190,448,102,403)( 56,380,147,109, 6571 241,408,177,397, 59)( 58,339,455,234,295,491,383,424,187, 93,309,162, 6572 266,417,139,310,149, 96)( 60,449, 98,341,195,433,134,356,255,115,263, 6573 436,278,125,106,512,252, 68)( 63,373,425,487,329,368,213,308,360,253, 6574 154,405, 95,237,458,416,113,492)( 76,510,286,133,330, 85,259,319, 79, 6575 422,344,476,461,432,245,385,208,498)( 80,130,351,428, 87,119,132,465, 6576 357,290,502,224,280,221,229,174,478,322)(126,493,257,265,384,443,513, 6577 129,285,182,327,494,225,390,404,447,451,314) ] ], 6578[ 10, 134217216, 1, "2", [ [ 512, 1 ] ], 3, "PSL(2, 2^9)", 6579 [ "L", [ 2, 512 ], 1 ], 6580 [ ( 3,504,512, 78,188,495,115,511,223, 22,198,280,233,131, 60, 47,306,121, 6581 319,263,176,215,158,230,264, 40,353, 17,205,218,142, 99,153,423,214, 6582 74,341,308,292, 58,403,313,291,372,238, 61,383, 79,376,323,361, 37, 6583 237,420,242,240,418,289,367,507, 25,450,411,229,297, 7, 62,492,231, 6584 327,448, 43,114,120,335,255,371,299,167,409,428, 80,184,502, 82,132, 6585 407,307,441,336,126, 27,128,365,439,300,191,415,471,166,393, 10,239, 6586 444,359,206,366,465,480,254, 33,161,106,169,202,369,427,416,368, 69, 6587 357,404,345,179,342,346,356,398,248,259,258,257,268,118,160,170,174, 6588 337,171,112,159,447,148,100, 89,147,314,347,410,355,483,262, 36, 51, 6589 150,310,157, 72,277,506,123,350, 45,101,325,216, 77,151,388,489,390, 6590 180, 75,209,109,384,434, 14,332,436, 88,107,349,217,145,261,181,396, 6591 402,473, 68,189,285, 24,454,509,219,287,105, 66,491, 9,149,227, 98, 6592 276,274, 96,279,479,155,193,140,437,133,455,278,144,225,203,113,458, 6593 224,208,175,442,302, 93,363,417,374,298,311,499,163,476,252,286,358, 6594 301,340,253,197,395,210,469,456,385,283,236,318,494,293, 5,401, 21, 6595 328,438, 4, 12,513,164,493, 26,103,187,348,271,177,412,222,312,378, 6596 49,381,129,199,389,338,125,305,275,183,108,143, 31,475,461,394,375, 6597 11, 39, 64,321,295,304,316,173, 87,172,152,116, 34,446,324, 8,486, 6598 154, 90, 85,330,288,399,474, 92,443,484,405,190,290,510, 83,360,282, 6599 250, 20,354,244,488,235,322,196,451, 63,377,370,459,425,501, 97,296, 6600 267,136, 52, 84, 44,182, 71,487,414, 53,269,260, 95,246,440, 18, 19, 6601 48, 38,460,481,201, 94,379,397,449,251,110,462,273, 46,185, 50,303, 6602 16,284,382, 81,430, 59,165, 13,309,392,130,386,124,207,503,351,457, 6603 86,435,134,232,500,213,466,331,470,243, 54,406,265, 67,119,137,422, 6604 315, 35, 56,478,468,497,498, 76,270,421,256,247,463,102, 29,445,334, 6605 472,432,464,380,249,220,419, 15, 91, 57,146,139,453, 65,320,194,281, 6606 28,272,162,496,266,234,156,433, 6,226,326,111, 32, 73,424, 42,117, 6607 228,186,431,426,362, 30,508,192, 70,482,400,364,344,429,343,200,212, 6608 221,195,452,477,505,141,122, 55, 41,485,373,408,333,241,211,391,178, 6609 127,317,387,135,467,138,204,294,104,339,245,168,329,413,490, 23,352), 6610 ( 1,471, 2)( 3,459,482)( 4, 83,302)( 5,458,196)( 6, 9, 51) 6611 ( 7,125,186)( 8,189, 85)( 10,188,473)( 11,133,116)( 12,176, 47) 6612 ( 13,430,238)( 14,354, 34)( 15,362,256)( 16,115,445)( 17,251, 56) 6613 ( 18,414,393)( 19,248,510)( 20, 36,488)( 21,261,397)( 22,504,143) 6614 ( 23,360, 41)( 24,472,181)( 25,380,484)( 26,273, 75)( 27,216,292) 6615 ( 28,247,326)( 29,509,396)( 30, 45,332)( 31, 80, 65)( 32,454,157) 6616 ( 33,499,431)( 35,212,249)( 37,331,440)( 38,114,303)( 39, 71,151) 6617 ( 40,405,426)( 42,109,209)( 43,340,127)( 44,131,266)( 46,219,358) 6618 ( 48,269,191)( 49,232,337)( 50,194,104)( 52,494,193)( 53,124,231) 6619 ( 54,466,495)( 55,132,252)( 57,304,255)( 58,418, 66)( 59,145,253) 6620 ( 60,152,211)( 61,282,139)( 62,390,367)( 63,342,487)( 64,199,286) 6621 ( 67,165,263)( 68,451,108)( 69,309,446)( 70,183,240)( 72,490,159) 6622 ( 73,379,387)( 74,481,315)( 76,218,460)( 77,185,271)( 78,198,275) 6623 ( 79,313,274)( 81,118,295)( 82,311,333)( 84,420,422)( 86, 97,335) 6624 ( 87,182,350)( 88,357,168)( 89,455,496)( 90,147,260)( 91,507,399) 6625 ( 92,413,317)( 93,452,166)( 94,172,100)( 95,101,375)( 96,409,223) 6626 ( 98,281,506)( 99,206,277)(102,177,369)(103,401,461)(105,224,130) 6627 (106,225,200)(107,434,234)(110,443,345)(111,284,485)(112,254,383) 6628 (113,330,129)(117,424,470)(119,178,270)(120,150,492)(121,221,288) 6629 (122,169,479)(123,135,410)(126,427,441)(128,432,475)(134,385,325) 6630 (136,280,226)(137,349,278)(138,406,497)(140,491,435)(141,322,245) 6631 (142,320,370)(144,205,323)(146,163,170)(148,243,493)(149,371,306) 6632 (153,228,474)(154,318,283)(155,341,376)(156,505,386)(158,236,230) 6633 (160,167,184)(161,208,364)(162,486,242)(164,391,237)(171,353,258) 6634 (173,389,298)(174,457,338)(175,467,502)(179,259,291)(180,210,351) 6635 (187,339,308)(190,408,352)(192,346,437)(195,207,433)(197,319,214) 6636 (201,513,217)(202,368,411)(203,503,287)(204,402,416)(213,373,419) 6637 (215,314,398)(220,498,400)(222,392,262)(227,382,442)(229,235,468) 6638 (233,244,508)(239,444,336)(241,347,388)(246,421,423)(250,299,265) 6639 (257,456,464)(264,425,272)(267,356,501)(268,476,453)(276,348,377) 6640 (279,321,324)(285,300,511)(289,483,307)(290,417,438)(293,403,512) 6641 (294,310,355)(296,489,316)(297,412,344)(301,447,334)(305,359,463) 6642 (312,450,429)(327,361,384)(328,372,329)(343,407,469)(363,477,415) 6643 (365,439,465)(366,480,428)(374,436,500)(378,404,478)(381,394,395) 6644 (448,449,462) ] ], 6645[ 11, 402651648, 0, "2", [ [ 512, 1 ] ], 3, "PSL(2, 2^9).3", 6646 [ "L", [ 2, 512 ], 1 ], 6647 [ ( 1, 89,126,162,436,359, 56,148,253,289,163,414,192,232,244,189, 26,248, 6648 320,176, 95,167,147,226,171,355,223)( 2,337,238,376,394,511,480,278, 6649 291,438,161,308,329,373,313,374,175, 77,259,507, 91,475,327, 34,293, 6650 312,426)( 3,425, 92,431,263,100,360, 49,423,462,449,160,195, 52,260, 6651 351,432,499, 99,164, 17,280, 96,512,249, 37,456)( 4,409,250,457,106, 6652 127,258, 43,358,318,364, 32,328,178,187,447,371, 30,131, 53,208,215, 6653 422,118, 47,270,467)( 5, 72,322,276,508,388,304,349,334,109,365, 90, 6654 13,188,213,406,298,428,489,218,408,262,509,482,201,104,494) 6655 ( 6, 65,450,145,180,451,506,216,179,362,209,190, 44, 61,285,237,194, 6656 279, 51,266,470,372,418,424,309,486,277)( 7,316,211,500, 64, 14,202, 6657 220,454,325,466, 59, 81, 55,230, 27,497, 79, 93,412, 62,434,166,352, 6658 446,135, 94)( 8, 36,261,140,292,105,283,513, 31, 12,395,144,133,390, 6659 234, 68, 23,452,119,387,399,427,128,440,473,150,212)( 9,382,173,402, 6660 344,333,306, 40,168,111,110,430,139,463,229,410, 80,397,214, 46,346, 6661 153,113,205,439,317,340)( 10,411,117,314,368,227,303,200, 50, 58,284, 6662 66, 19,481,420, 38, 87,343,141, 97,311,393,157,419, 76,471,197) 6663 ( 11,338,137,299,102, 21,301,107, 78,257,124,103,125,417, 88,115,177, 6664 421, 15,502,240,217,381, 42,281,324,254)( 16,300,184,476,290,191,181, 6665 158,332,271,114,469,384,116, 84,310,404,367,154,134,273,203,198,487, 6666 488,400, 73)( 18,391,146,186,272,222,498,370,246,247, 74,196, 82,121, 6667 445,242,295,151, 75,443,460,210,233,170, 69, 54,241)( 20,101, 35,415, 6668 405,484,123,339,386,379, 22,493,265,274,159,287,377,286, 28,396,433, 6669 392,357, 85, 25,112,345)( 24,130,231,361,225,342,182,236,441,485,477, 6670 142,120,478, 48,294,138,331,341,504,459, 45,458, 83,143,136,224) 6671 ( 29,245,156,444,468, 41,380,264, 86, 70,483,490,330,219,448,495,169, 6672 39,129,193,413,256,269,122,435,174,453)( 33,363,297, 98,479,207,302, 6673 366,385,369,152,228,335,503,383,465,378, 57,305,319,288,375,251,165, 6674 71,496,461)( 60,315, 63,268,323,353,239,472,336,389,416,185,183,398, 6675 356,252,429,474,267,155,401,492,255,204,326,505,321)( 67,206,347,243, 6676 199,282,491,235,403,307,350,132,464,442,275,108,510,407,437,149,455, 6677 172,221,501,348,354,296), 6678 ( 1,301,117, 68,468,321,415,248,493,408,317,119,491,342,338,210,229, 6679 185,496,218,359,227,217,237,268,337,452)( 2,392,372,101,205,286,128, 6680 157,339,460,282,170, 37,422,329,300,365,319,190,179,488,105,434,292, 6681 206,132,366)( 3,421,424,481, 62,429,148,291,464, 74, 84,208,508, 38, 6682 387,318,182,325,289,267,323, 52,147,242,246,245,278)( 4,407,351,497, 6683 234, 89,402, 24,374,172,436, 29,343, 10,158,211,175,383,386,213,249, 6684 139,411,310,181,471,156)( 5,226,140,417,426,104,207,358,224, 34, 61, 6685 223,483,296,212, 30,513, 99,228, 51,124,266,162,193,431,304,486) 6686 ( 6,368,239,290,107, 48,153,509,479,261, 22,287,130,138,499, 93,428, 6687 315,335,276, 43,164,388,454, 23, 35,427)( 7,472,255,262,143,377, 76, 6688 209,216, 19,326,485,159,478, 42,284,453,306,236,275, 31, 49, 92,369, 6689 309,459,136)( 8,254,277,200,462,106,505,247,348,281,443,311,447,451, 6690 180,384,413,288, 21,465,151, 77, 86,435,506,308,418)( 9,327,463,240, 6691 111, 33,401,184, 26,238,498,373,109,188,440,250, 32,173, 65, 27,214, 6692 274,378,458,221,360,231)( 11,405,163,425,129,199,297,146,118, 56,480, 6693 116,375,474, 54, 25,295,233, 70,312,490,219, 36, 12,169,477, 17) 6694 ( 13,320,367,303,350,293,419,252,473,445, 46,438,334,197,195, 73,370, 6695 389,406,442,152, 53, 18,123,165,484,446)( 14,416,260,500, 66,302,398, 6696 385, 55,126,144,230,455, 16, 98,154,430,269,475,272, 39,393,222,457, 6697 202,371,437)( 15,379,314,215, 20, 80,137,196,142,279,294,363,390,174, 6698 397,441,259,394,145,403,270,380,357, 94, 83,150,356)( 28,448,177,503, 6699 364,341,511,420, 87,194, 57,108,492,507,265,187,160,168,133,449, 45, 6700 355,241,263,489,433,450)( 40,305, 78,201, 72,299,432,410,361,220,135, 6701 127,167,399, 85,376,469,347,191,225,171,332, 64, 47,203,186, 44) 6702 ( 41, 95,141,382,345,404,161,280,494, 96, 59,313,346,400,340,307,391, 6703 439,331, 60,235,381,110,336, 50,134,251)( 58,125,273,283,487,176,412, 6704 510,333, 67,258,354,352,344,100, 90,113,264,285,362,504,131, 88,178, 6705 192,198,396)( 63,189,328,414, 91, 97,409,121,183,253,470,444,456,423, 6706 467,257,512,316,330, 71,243,114,244,353, 81,395, 79)( 69,103,482, 75, 6707 322,495,149,461,349,466,120,166,122,324,501,112,502,476,271,204,115, 6708 102, 82,232,155,256,298) ] ], 6709[ 12, 1207954944, 0, "2", [ [ 512, 1 ] ], 3, "PGammaL(2, 2^9)", 6710 [ "L", [ 2, 512 ], 1 ], 6711 [ ( 1,125,161, 60,126, 18,396,345,142, 13,230,152,413,320, 63, 16,182,450, 6712 227,385,280)( 2,180,414, 77,502, 37,168,303,484, 50,291,127,467,209, 6713 254,349,186,342,440,465, 5)( 3, 25,473,290, 23,149,501,253,483,104, 6714 234, 47,504,114,274,121, 65,282,457, 40,113)( 4,284, 75, 48,459,398, 6715 90,252,304,341,472,143,327, 82,387, 97,279,207,131, 74,448) 6716 ( 6,229,391, 22,221,392,334,289,132,347,115,335, 51,146,197,135, 72, 6717 287,489, 39,172)( 7,119,325,268,442,456,191, 69,394,205,310,177,198, 6718 130, 14,301,374,240, 95,213,401)( 8,154, 76,136,169, 9,482,225,481, 6719 417, 59, 86, 11, 91,181, 78,453,463, 87, 62,487)( 10,138,375, 80,316, 6720 499,179,378,356,276,178,237,369,376, 67, 92,354,454,285,210,365) 6721 ( 12,443,323, 66,238,433, 53,435,432,147, 45,471,251,265,269,206, 58, 6722 98,164,233,344)( 15,425,218,337,148,247, 52,241,107,331,338,321,308, 6723 437, 73,226,507, 70,214,232,367)( 17,302, 35,297,155,381, 43,129,509, 6724 449,294,430,409,109,439,159,300,506, 56,400,100)( 19,145,427,322,171, 6725 469,212,352,513, 96,397,386,373,102,420, 20,393,190,242,434,176) 6726 ( 21, 55,262,236,156,328, 71,418,411,106,436,446,189,407,281,255,257, 6727 496,313,184,204)( 24,384, 31,412,200,111, 42,405,118,188,395,423,273, 6728 174,245,298,428,377,261,199,350)( 26, 81,219,137, 99,244, 57,361,329, 6729 485,462,475,293,333,105,239,260,493,208,110,256)( 27,267,103,351, 49, 6730 512, 93,286,175,153,324,263, 41,306,390,330,258, 33,157, 38,480) 6731 ( 28,495,170,382,511,183,466)( 29,402,235,315,228,243,160,296,470,359, 6732 288, 34, 79,478,368,185,445, 44,222,371,404)( 30,510,355, 54,422,383, 6733 336,216,101,431,319,246, 36,312,203,508,326,151,441,249, 88) 6734 ( 32,116,318,460,277, 89,380,503,343,491,340,122,309,123,112,278, 61, 6735 317,224,192,133)( 46,166,461, 85,490,358, 84,360,108,194,187, 68,173, 6736 476,474,419,364,220,248,424,500)( 64,492,275,426,477,497,458,452,144, 6737 292,403,421,348,283,305,363,264,195,455,494,498)( 83,339,250,124,139, 6738 479,415,201,259,120,379,211,165,307,193,346,163,231,372,141,468) 6739 ( 94,451,162,399,505,429,406,353,366,486,311,314,167,266,271,140,370, 6740 416,272,464,134)(117,299,488,217,150,295,408,447,332,223,444,438,388, 6741 196,158,362,410,357,215,270,202), 6742 ( 1,276,192,478,469,135,413,476,165,399,116,285,309, 47,403, 25, 84, 6743 93,243,134,426, 35,319,364,379,393, 17)( 2,187,434,368,410,416, 85, 6744 432, 67,499,385,181,457, 4, 55,342,267,130,360,159,459,512, 99,290, 6745 418,155,212)( 3,470,158,419,485,481,245,462,331,108,215,453,237,128, 6746 223, 26,127,230,166,491, 14,227,284,211,438,124, 11)( 5, 18,392, 56, 6747 431, 75,359,396,370,191,112,273, 89,452,335,157,164,255,137,196,449, 6748 256,323,310,252, 62, 13)( 6, 81,325,101,345,277,263,182,126,357, 32, 6749 456,502,246,236,466,109,189,489,275,261,337, 37,417,195, 23, 44) 6750 ( 7,421,174,115,343,296,487,163, 27,442,383,111,443,484,170,425, 91, 6751 34,268,355,458,483, 64,235,125,239,371)( 8, 69,507,201,188,257,305, 6752 180, 51,138, 97,154,353,117,312,504,281,358,295,384, 71,479,304,401, 6753 114,151, 70)( 9,501,184, 61,495, 60,120,433,369,199,327,388,303,404, 6754 144,133, 54, 49,408,249,176,506,395,238, 66, 58,100)( 10,287,503,242, 6755 183,510, 16,299, 20,424,306,206,316,298, 24,279,278,492,219,272,480, 6756 98,203,347,407, 41,352)( 12, 74,216,207,454,372,214, 50,200,308,233, 6757 437,400,152,439, 22,266,513,472,147,113,156,402,150,169,289,167) 6758 ( 15,177,336,105,269,505,292,315,186,314,103,198,488,179, 77,341,367, 6759 411, 48,318,202, 76,264,500, 38,104,205)( 19,274, 39, 90,291,250,162, 6760 422,386,350,374,178,148,221,280,197,232,348, 29,365,226,253,460,412, 6761 430,259,414)( 21,136,340,373,397,122,288,307,496, 86,190, 63,194,106, 6762 140, 45,132,377,473,123,380, 92,330,493, 33,129,320)( 28,356,477, 46, 6763 83,251,362,244,260,423,390,218,258,329,119,490,297,498,375,231,428, 6764 382,294, 65,240,461,406)( 30,450,311,482,415,429, 52,313, 87, 78,209, 6765 145,497,378,389,349,444,234,217,300, 82,463,334,193,447,508, 42) 6766 ( 31,474,391,363,142,398,241,376,175,110,118,354,271,265,222,208,172, 6767 494,283,248,435,509,464,229,455,293,224)( 36,204,173,436, 40,344,262, 6768 139,441,107,322,475,328,143,282,185, 68,333,213,420,440, 95,332,131, 6769 102,465,161)( 43,317, 96,301,228,146,381,339,448,149,338,445,302,394, 6770 225, 72, 59,324,220,446,321,168,346,486, 80, 94,160)( 53,141,153,366, 6771 270,387,247,427, 88,471,286, 79,121,254,511,361,171,467, 73,326,451, 6772 405,409,210, 57,351,468) ] ], 6773[13, Factorial(513)/2,1,"2",[[512,1]],511, "Alt(513)", ["A",513, 1], "Alt"], 6774[14, Factorial(513),0,"2",[[512, 1]],513, "Sym(513)", ["A",513, 1], "Sym"]]; 6775PRIMGRP[514]:= 6776[[1, Factorial(514)/2,1,"2",[[513,1]],512, "Alt(514)", ["A",514, 1], "Alt"], 6777[2, Factorial(514),0,"2",[[513, 1]],514, "Sym(514)", ["A",514, 1], "Sym"]]; 6778PRIMGRP[515]:= 6779[[1, Factorial(515)/2,1,"2",[[514,1]],513, "Alt(515)", ["A",515, 1], "Alt"], 6780[2, Factorial(515),0,"2",[[514, 1]],515, "Sym(515)", ["A",515, 1], "Sym"]]; 6781PRIMGRP[516]:= 6782[[1, Factorial(516)/2,1,"2",[[515,1]],514, "Alt(516)", ["A",516, 1], "Alt"], 6783[2, Factorial(516),0,"2",[[515, 1]],516, "Sym(516)", ["A",516, 1], "Sym"]]; 6784PRIMGRP[517]:= 6785[[1, Factorial(517)/2,1,"2",[[516,1]],515, "Alt(517)", ["A",517, 1], "Alt"], 6786[2, Factorial(517),0,"2",[[516, 1]],517, "Sym(517)", ["A",517, 1], "Sym"]]; 6787PRIMGRP[518]:= 6788[[1, Factorial(518)/2,1,"2",[[517,1]],516, "Alt(518)", ["A",518, 1], "Alt"], 6789[2, Factorial(518),0,"2",[[517, 1]],518, "Sym(518)", ["A",518, 1], "Sym"]]; 6790PRIMGRP[519]:= 6791[[1, Factorial(519)/2,1,"2",[[518,1]],517, "Alt(519)", ["A",519, 1], "Alt"], 6792[2, Factorial(519),0,"2",[[518, 1]],519, "Sym(519)", ["A",519, 1], "Sym"]]; 6793PRIMGRP[520]:= 6794[[ 1, 262080, 1, "2", [ [ 56, 3 ], [ 72, 4 ], [ 63, 1 ] ], 1, "PSL(2, 2^6)", 6795 [ "L", [ 2, 64 ], 1 ], 6796 [ ( 1,496)( 2,242)( 3,188)( 4,176)( 5,345)( 6,312)( 7,474)( 8,103) 6797 ( 9, 63)( 10,473)( 11,376)( 12,520)( 13,154)( 14,454)( 15, 30) 6798 ( 16,478)( 17,367)( 18,350)( 19,415)( 20,216)( 21, 61)( 22,396) 6799 ( 23,206)( 24,184)( 25,293)( 26,305)( 27,323)( 28,197)( 29,501) 6800 ( 31,390)( 32,490)( 33,296)( 34,430)( 35,373)( 36, 57)( 37,262) 6801 ( 38,514)( 39,124)( 40, 96)( 41,222)( 42,172)( 43,278)( 44,127) 6802 ( 45,232)( 47,105)( 48,325)( 50, 82)( 51,213)( 52,393)( 53,487) 6803 ( 54,135)( 55,217)( 56,450)( 58,359)( 59,139)( 60,252)( 62,361) 6804 ( 64,269)( 65,321)( 66,504)( 67,387)( 68,307)( 69,515)( 70,193) 6805 ( 71,137)( 72,510)( 73,279)( 74,198)( 75,417)( 76,386)( 77,150) 6806 ( 78,134)( 79,406)( 80,476)( 81,294)( 83,203)( 84,236)( 85, 87) 6807 ( 86,395)( 88,493)( 89,424)( 90,426)( 91,447)( 92,223)( 93,267) 6808 ( 94,497)( 95,477)( 97,389)( 98,431)( 99,398)(100,461)(101,469) 6809 (102,251)(104,355)(106,318)(107,142)(108,192)(109,277)(110,290) 6810 (111,340)(112,255)(113,503)(114,319)(115,153)(116,209)(117,505) 6811 (118,221)(119,144)(120,254)(121,171)(122,486)(123,194)(125,265) 6812 (126,427)(129,371)(130,458)(131,204)(132,337)(133,136)(138,364) 6813 (140,292)(143,475)(145,230)(146,420)(147,310)(148,322)(149,374) 6814 (151,434)(152,169)(155,439)(156,499)(157,237)(158,211)(159,507) 6815 (160,177)(161,335)(162,243)(163,377)(164,472)(165,264)(166,423) 6816 (167,438)(168,508)(170,468)(173,463)(174,513)(175,428)(178,492) 6817 (179,227)(180,259)(181,400)(183,268)(185,394)(186,250)(187,432) 6818 (189,240)(190,409)(191,297)(195,368)(196,288)(199,436)(200,403) 6819 (201,304)(202,280)(205,517)(207,256)(208,363)(212,437)(214,483) 6820 (215,229)(218,421)(219,443)(220,445)(224,372)(225,317)(226,416) 6821 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94,324) 6931 (165,177) ] ], 6932[ 3, 786240, 0, "2", [ [ 168, 1 ], [ 72, 1 ], [ 216, 1 ], [ 63, 1 ] ], 1, 6933 "PSL(2, 2^6).3", [ "L", [ 2, 64 ], 1 ], 6934 [ ( 1, 43,348,349,165, 31,179,407,164)( 2, 7, 74,256,463,273, 80,101,175) 6935 ( 3, 56,475)( 4,302,404,313,327,423,296,494,504)( 5,354, 67,181, 6936 381,511,257,512,221)( 6,163,487,478,350, 13,279,288,409) 6937 ( 8,255,284,128,121,167,253,482,162)( 9, 64,415, 91,401,144,115,362, 6938 402)( 10,203,369,120,446,258,271,264,142)( 11,486,515, 46,495,400, 6939 30,325, 73)( 12,363,226,330,489,352,300, 93,194)( 14, 40,344,372, 6940 137,200,155,207,414)( 15,318,183,246,184,303,223,398, 53) 6941 ( 16,457,336,321,320,214,244,513,153)( 17,268, 69,240,433,386,505,134, 6942 151)( 18, 55,145,375, 94, 38, 47,235,460)( 19, 86, 60,351,449,176, 6943 514, 42,225)( 20,458,355,451,293,492, 62, 99,440)( 21,141,496,405, 6944 483,218,305,499,201)( 22, 36,157, 97,248,518,130,509,118) 6945 ( 23,410, 50,384,443,187, 41,266, 26)( 24,471,215,124,174,301,307,122, 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81,339,110,417,290,371,322,335,287)( 82,132,276,291,281,387,180, 88, 6961 274)( 87,108,416,374,432,195,119,228,263)( 90,143,338,347,367,231, 6962 160,295,359)( 96,481,135,292,333,395,173,209,149)(100,202,455,425, 6963 403,216,477,252,189)(103,391,353,426,146,270,136,250,129) 6964 (111,282,297,445,431,379,168,299,365)(114,196,392,204,342,229,380,188, 6965 169)(127,161,208,131,360,147,436,454,456)(171,500,466,319,186,429, 6966 412,224,507)(178,459,337,427,311,465,247,490,345), 6967 ( 1,504, 66,490,176,281)( 2,150,317,319,361,493)( 3,129,144,153, 35, 6968 68)( 4,225,168, 13,506,389)( 5,360,387,425, 30,127) 6969 ( 6, 67,155,241,462,364)( 7,170,240, 50, 74, 69)( 8,507,103,453, 6970 465,172)( 9,280,179,386, 29,365)( 10,440,276,311,222,275) 6971 ( 11,116,384,213,372,309)( 12,205,208,143,223,418)( 14,157,147,405, 6972 252,193)( 15,265, 65,106, 34,202)( 16, 86,182,220,478,124) 6973 ( 17,190,336,246,431, 24)( 18,518,353,342, 55,195)( 19, 23,238,256, 6974 31,410)( 20,152,503, 47,370,136)( 21,117,371,192,335,508) 6975 ( 22,267,113,378,114, 62)( 25,118,174,211,278,305)( 26,452,495,322, 6976 98,331)( 27,445,261,481,216,497)( 28,219, 85,411,289,160) 6977 ( 32,446,421,135,479, 88)( 33,492, 73,430,188,307)( 36,467, 87,325, 6978 520,247)( 37,293,298,159,232,254)( 38, 80)( 39,406,189,138,456, 70) 6979 ( 40,141,367, 59,397,248)( 41,339,101,483,134,390)( 42,463, 52,373, 6980 107,399)( 43,230,217,315,243,480)( 44, 72,460,449,212,314) 6981 ( 45, 54,161,171,137,306)( 46,429,277,510,204,362)( 48,126,231,459, 6982 477,146)( 49,350,379,269,253,344)( 51,407,404,264,158,441) 6983 ( 53,377,123,416,184,512)( 56,337, 83,515, 64, 82)( 57,424,428) 6984 ( 58,284,391,111,140,244)( 60,145,469,102,285, 79)( 61,500,499,415, 6985 235,466)( 63,279,149,154,239,131)( 71,366,321,357,251,180) 6986 ( 75,221,473,396, 78,408)( 76,451,290,167,338,178)( 77,242,282,423, 6987 383,109)( 81, 91,260,468,417,292)( 89,496,472,324,475,375) 6988 ( 90,151,200,273,455,125)( 92,340,458,519,471,395)( 93,191,226,516, 6989 128,333)( 94,346,447,132,250,381)( 95,270,162,121,300,448) 6990 ( 96,436,312,491,502,183)( 97,398,227,316,464,301)( 99,120,199,348, 6991 255,401)(100,249,382,432,484,210)(104,130,201)(105,181,224,119,115, 6992 166)(108,498,169,308,237,420)(110,299,156,291,218,173) 6993 (112,457,258,330,434,482)(122,392,283,476,514,234)(133,266,352,245, 6994 318,414)(139,511,400,486,207,341)(142,505,402,271,209,376) 6995 (148,262,439,334,203,257)(163,359,351,347,206,328)(164,332) 6996 (165,288,349,194,435,214)(175,419,443,393,470,323)(177,437,354,286, 6997 304,488)(185,326,236,295,509,287)(186,263,474,302,198,233)(187,343) 6998 (196,380,427,494,313,329)(197,374,363,501,485,296)(215,268,438,461, 6999 356,369)(228,513,388,433,422,450)(229,294,272,310,345,409) 7000 (259,368,403,320,442,426)(274,303,297,444,327,385)(355,489,358,487, 7001 517,454)(394,413) ] ], 7002[ 4, 1572480, 0, "2", [ [ 168, 1 ], [ 72, 1 ], [ 216, 1 ], [ 63, 1 ] ], 1, 7003 "PGammaL(2, 2^6)", [ "L", [ 2, 64 ], 1 ], 7004 [ ( 1,328,402,337,365,454,410,324,439, 10, 39,171,474,214,374,102,501,228) 7005 ( 2,395,173, 41,215,286,456,387, 6, 45,340,409,345, 19,437,497,149, 7006 95)( 3,468,359,213,181,487,393, 78, 9, 24, 91,481,360,334,375,247, 7007 241, 4)( 5,408,109,309,338,212, 33,317, 68, 79,369,243, 31,113,147, 7008 322,222,376)( 7,323,219,198,403, 17,182,325,201,103,287,440, 16,172, 7009 205, 82,326,350)( 8,101,380,121,382,242, 14,248,386,119,262,414,469, 7010 401, 22,174, 25,269)( 11, 20,225,186,510,483,268,296,433) 7011 ( 12,371,297, 34, 50,167, 28,301,476,150,132,383, 57,390,274,271,250, 7012 232)( 13,432,221,156,127,453,339,500,314,165,399,384,513, 75,299,115, 7013 264, 32)( 15,473, 18,377,191,378,235,357,138,188,238,206,312,475,315, 7014 159,520, 55)( 21,289,272,426,504,170,398,428,466,234,129,240,450,223, 7015 105,514,452,381)( 23,364,407, 64,200,316,237,329, 92, 63,116,335,434, 7016 89,158,446,282, 38)( 26,347,503,135, 61,488,405,505,110) 7017 ( 27,142,280,465,470,358,306,484,353,226,311,506,134,180,195, 35,479, 7018 261)( 29,379, 73,288,389,459)( 30,291,485,139,202,420,273,166,511, 7019 300,203, 90, 56,477, 72,163,229,175)( 36, 40,425,321,125,157,495,464, 7020 457,341,193,356, 83,216, 42,265,416, 87)( 37,303,260,124,415,424,423, 7021 236,354,346,196,413,258,392,126,391,486,332)( 43,342,463,178,518,406, 7022 179,429,233,290,472,278,204,197,128,344,313,251)( 44,421,275,430,277, 7023 53,211,281,461,373,118,144, 65,245,404,498,319,372)( 46,310,308,318, 7024 120,183,146,210,256, 77,388,100,217,449, 51,492, 59,162) 7025 ( 47,227, 49,189,367,293,480,489,512)( 48,292,490,152,136,467,370,224, 7026 107)( 52,302,343, 99,361,499,458,252,348,397,400,177,108,336,117, 80, 7027 249,305)( 54,140,491,143,352,320,168,447,148,411, 76,122,137, 58,218, 7028 104,123,442)( 60,349,445,154,267,255,419,427,192)( 62,444,190,220, 7029 366,418,436,259,471,244,362,160, 71,185,276, 94,294, 84) 7030 ( 66,494,253,131,279,462,298,209,438,431,451,435,285,270,239,441,246, 7031 67)( 69,295,208,111,385,412,478,368, 85)( 70,460,507,333, 97,355, 7032 231, 81,176,151,141,422,363, 96,455, 98,187,161)( 74,482,130,207,283, 7033 417,284,266,394,257,509,194, 86,184,164,230,327,304)( 88,112,145,508, 7034 443,114,516,307, 93,199,263,155,254,330,133,517,331,351) 7035 (106,515,502,396,153,496,448,169,493), 7036 ( 1,154,272,165,103,407)( 2,510,109,314,394,477)( 3,359,228,438,242, 7037 303)( 4,506,212,236, 62,383)( 5,399,386, 64, 40,143) 7038 ( 6,220, 96,231, 66, 44)( 7,299, 52,271,423,418)( 8,466,351,198, 7039 219,149)( 9, 76,261)( 10,171,502,520,230,174)( 11,191, 27, 59,436, 7040 491)( 12,304,145,475,344,269)( 13,134, 55)( 14,471,258, 72,505,223) 7041 ( 15,489,458)( 16,370,455,229, 37,451)( 17,213,254,278,411, 18) 7042 ( 19,494,479,187, 32,253)( 20,464,194,144,116,162)( 21,178,108,292, 7043 102,441)( 22,129, 31,348,159,130)( 23,293,260,319,424, 87) 7044 ( 24,490,235,358,202,408)( 25,163, 57)( 26,172,117,158,317,514) 7045 ( 28,222,268,443,283,492)( 29,204,257, 56,192,356)( 30,488,136,250, 7046 131,391)( 33,137, 69,362,501,364)( 34,422, 99,416,193,148) 7047 ( 35, 61,329)( 36,161,376,146, 92, 43)( 38,200,460,414,335,339) 7048 ( 39,456,208,400,316,245)( 41,100,462,372, 71,463)( 42,221,203,139, 7049 190, 80)( 45,325,509,157,248,275)( 46,454,206,308,349,360) 7050 ( 47,105,446)( 48,387,207)( 49,326,262,469,516,155)( 50,507,346,395, 7051 448,168)( 51,152,401,297, 83,413)( 53,110,478,497,241,115) 7052 ( 54,334,429,430,445,201)( 58,294,114,276,379,151)( 60,285,277,499, 7053 307,233)( 63,495,426,267,127,486)( 65,459,167,485,392, 95) 7054 ( 67,273,121,122,104, 93)( 68,417,211,472,141,323)( 70,328,405,279, 7055 232,287)( 73,107)( 74,306,336,101,197,166)( 75,120, 85,132,280,449) 7056 ( 77,313,337,350,333,415)( 78, 84,284,320,301,186)( 79,189,440,503, 7057 112,419)( 81,289,517,185,199,493)( 82,433,224,251,357,176) 7058 ( 86,425,390,384,324,369)( 88,263,282,315,435,482)( 89,377,331,412, 7059 214,175)( 90,343,216,123,500,345)( 91,519,173,338,183,371) 7060 ( 94,309,421,296,361,215)( 98,181,447,295,373,508)(106,481,512,160, 7061 480,513)(111,239)(113,353)(118,156,170,442,518,179)(119,473,234,256, 7062 243,196)(124,347,393,465,133,341)(125,374,431,153,264,363) 7063 (126,396,265,487,450,382)(128,286,368,227,420,302)(138,217,498,218, 7064 496,327)(140,281,246,375,470,249)(142,255,467,398,504,342) 7065 (150,388,238)(164,452,270)(169,225,402,403,352,428)(180,244,209) 7066 (182,247,389)(184,476,511)(188,444,298,434,195,366)(205,367,274) 7067 (210,340,410,291,378,310)(226,381,288,322,237,355)(240,397,404) 7068 (252,468,409,321,483,457)(259,332,312,406,453,318)(266,354,311) 7069 (290,300,330)(305,385,432)(365,380,437)(427,461,474)(439,484,515) ] ], 7070[ 5, 12130560, 0, "2", [ [ 243, 1 ], [ 24, 1 ], [ 36, 1 ], [ 216, 1 ] ], 1, 7071 "PSL(4, 3).2", [ "L", [ 4, 3 ], 1 ], 7072 [ ( 1,356,407, 19,189, 92,359,239)( 2, 74,409, 88,200,163,395,459) 7073 ( 3,406,453, 27,137,484,448,175)( 4,260,182,338,372,229,419,318) 7074 ( 5,214,180,131,151,262, 50, 49)( 6,408,227,263,144,141, 79,306) 7075 ( 7, 75, 81,291,138,215, 83, 77)( 8,424, 73,319, 52, 18,471,489) 7076 ( 9,508,255,425,275,430,441,405)( 10,110,511,149, 33,208,403,450) 7077 ( 11, 90,179,187,268, 42,150,486)( 12,105,345,139, 35, 84,469,171) 7078 ( 13,143, 54,167)( 14,188,197,210)( 15,303,402, 94, 72,415,410,248) 7079 ( 16,513,102,462,477,460,497,498)( 17,341,491,134)( 20,198,225,416, 7080 353, 39, 25,274)( 21,254, 95,340,109, 36,159,153)( 22,470,136,164, 7081 55,500,354,218)( 23,301,230,434,461,363,349,446)( 24,418, 45, 68, 7082 384,181, 37,112)( 26,376,432,367,241,371,426,515)( 28,118,302,107) 7083 ( 29,293, 63,443,238,202,233,104)( 30,428,398,169,393, 43,183,148) 7084 ( 31, 89,292,217,223,207,195,165)( 32,127,269, 64, 65, 46,467,228) 7085 ( 34,121,468,520,194, 76,212,473)( 38,309, 99,203,279,172,343,317) 7086 ( 40,352,355, 87,388,344,310,464)( 41, 78,519,264,130,184,120,506) 7087 ( 44,247,370,231,245,328, 59,281)( 47,287,155,219,295,499,373,496) 7088 ( 48,334,283,313,296,509,411,474)( 51,101,140,307,308,284,374,495) 7089 ( 53,339,362,256,119, 60,204,427)( 56, 62,346,366,166,404,236,391) 7090 ( 57,335, 67,485,280,132,145,312)( 58,125,224,246,193,347,244,479) 7091 ( 61,315,226,234,451,299,222,401)( 66,196,369,294,389,337,160,447) 7092 ( 69,158,472,380, 70,518,333,258)( 71,381,267,290, 85,124,209,185) 7093 ( 80,390,396,300,282,156,285,170)( 82,452,259,457,113,157,392, 91) 7094 ( 86,201,494,351,320,100,311,436)( 93,480,237,437)( 96,423,257,385, 7095 106,265,435,135)( 97,422,514,154,400,327,507,490)( 98,475,387,252, 7096 442,116,232,147)(103,243,117,414)(108,483,454,271,510,178,133,277) 7097 (111,266,342,304,431,517,504,493)(114,375,288,438)(115,336,314,249, 7098 394,350,251,298)(122,516,177,368)(123,253,357,173,273,465,199,417) 7099 (126,481,321,358,142,456,458,433)(129,146,445,397,478,382,487,216) 7100 (152,439)(161,250,377,502,440,286,270,455)(162,186,444,242,330,261, 7101 505,476)(168,235,379,413,297,463,365,221)(174,482,205,492,512,332, 7102 383,240)(176,325,503,276,399,206,420,192)(190,191,278,348,421,429, 7103 211,378)(213,329,466,324,220,386,272,323)(289,322,412,331) 7104 (305,364,360,361,316,501,488,326), 7105 ( 1, 55,148,434,367,384,402,350, 61, 28,380,173,129,481,373,117,217, 7106 222,198, 76)( 2,285,354,491, 20,495,353,270, 41,505, 77,510, 5,137, 7107 182,225,165, 50, 79,214)( 3,456,348,404,388, 78,289,105,324, 96, 57, 7108 183,210,178,177,403,231,503,267,391)( 4, 30,407,239,133,340,360,489, 7109 474,467,194, 17, 92, 15,363,322,159,395,254,156)( 6, 84,123,195,390, 7110 412, 83,487,268,191, 34,470,190,440,257,223,438, 71,147,142) 7111 ( 7, 66, 65,280,260,199,432,107,414,418,463, 49,211,113,447,108,485, 7112 471, 47, 33)( 8,154,302,429,149, 16,444,443,449,315,422,307, 70,512, 7113 193,121,141,283,498,475)( 9,477, 22,316, 73,116,451, 89,263,266,276, 7114 431,304,221,500,362,103,252,442,420)( 10,328,371,306,145, 25,273,204, 7115 136,516,171,436,181,334,293,255,342,518,249,271)( 11,466,109,132,277, 7116 365, 62,421,458,282,286,229,299,355,439, 85,357,212, 46,502) 7117 ( 12,184, 43,158,469,308,130,419,262,344, 94, 13,309,128,155,127,311, 7118 338,496,281)( 14,494,131,382,318,256, 31,279, 60,291,501,153,320, 95, 7119 59,336,227,247,188,448)( 18, 53,514,313,339,408,119, 86, 68,296,361, 7120 54,138,134,259,224,375,209,383,393)( 19,497,139,258, 80,333,161,504, 7121 415,202,243,179,261,314, 67,112,200,120,167,455)( 21, 39,317,215,295, 7122 473,345,319,394, 26,368,398,163,140,144,356,341,264,244,372) 7123 ( 23,294,396,405, 74,513,230,297,100,300,196,151,207, 42,369,180,462, 7124 29, 75,135)( 24,192,427,187,101,488,292,437,389,417,146,305,478,122, 7125 27,303,245,452, 44,126)( 32,236,288,366,226,399,441,392,508, 72,166, 7126 102,330,499,143, 69, 51,234,346,476)( 35,327,274,379,506,381,352,385, 7127 272,218,413,197,168,298,329,208,515,310, 90,233)( 36,430,370,492,219, 7128 169,461,228,162,269,242,465,386,251,332,114,454, 98,189,484) 7129 ( 37,235, 99,397,170,343,115,410,387,479,326,253,206,424,460,201,520, 7130 426,185,376)( 38,468,124,323,457,359,358,284, 58,164,321, 88,482,464, 7131 374,110,238,509, 45,287)( 40,246,490,459,301,265,325,377, 91,220,428, 7132 519,290,186,486,445,175,416, 64,433)( 48,450,205,337,176, 93,400,364, 7133 87,517,401,248,157,152,278,240,174,472,453,480)( 52,331,150,409,104, 7134 237,511,203,349, 81,111,241,406,312,378,446, 82,250,172,347) 7135 ( 56,216,507,483,425,125,493,351, 97,213,118,275,435,160,423,411,106, 7136 232, 63,335) ] ], 7137[ 6, 12130560, 0, "2", [ [ 243, 1 ], [ 24, 1 ], [ 36, 1 ], [ 216, 1 ] ], 1, 7138 "PSL(4, 3).2", [ "L", [ 4, 3 ], 1 ], 7139 [ ( 1,306,166,292,475,297,342,427,409,298)( 2,464,478,312,457) 7140 ( 3,346,221,267,376,105,259, 19,405,249)( 4, 52,271,396,497,169,391, 7141 509,444,115)( 5,142,517,453,268, 76,179,366,231,321) 7142 ( 6,293,250,274,275,217, 56,254,365,480)( 7, 16,209,389,471,212,498, 7143 425, 49,184)( 8, 23, 93, 74,266,120,276,103,307,113) 7144 ( 9,315,278,432, 51,290,314, 53,483,174)( 10,180,433,300,173, 90,406, 7145 302,331,420)( 11,326,394, 22,465,154,109,233,229,205) 7146 ( 12,505,500, 79,375,286,153,164,496,187)( 13,503,419,215,196,520,135, 7147 372,333,282)( 14,462,339,206,260,235,116,248,344,122) 7148 ( 15,100,167,492,474,386,356,158,367,200)( 17, 24,121,238,149,198,514, 7149 32,227,118)( 18, 31,472,101,414, 48,119,285,487,381)( 20,309,501,160, 7150 451, 66,318,156,225,504)( 21,398,257,203,490,458,393,452,172,181) 7151 ( 25,430, 87,241,296,201,237,323,378,155)( 26,479,382,345,133,395,481, 7152 461,412,493)( 27, 91, 45,279,470, 54,439,438,182,148) 7153 ( 28,436,359,111,310,488, 64,491,236, 78)( 29,134,230,512,263,385, 58, 7154 459,332,108)( 30,242,388,261,208,136,239,510, 92,150) 7155 ( 33, 99,400,454,226,151, 43, 65, 67,443)( 34,139,287, 71,252, 83,448, 7156 446,508,423)( 35,355, 73, 36, 96, 70,392,431,337,435) 7157 ( 37, 94,411,373, 62,175,357,424,213,141)( 38,336,502,362, 82,218,383, 7158 75,334,303)( 39, 50,211,426,507,358,511,429,223,269)( 40, 44,363,348, 7159 506,273,305,477,335,442)( 41,304,189,255,125,145,104, 86,124,316) 7160 ( 42,361, 81,519, 68, 97,418,380,415,364)( 46,295,421,129, 85,186,283, 7161 195,324,117)( 47,437,349,340,191,220,441,352,455,178) 7162 ( 55, 88,232,371,114,177,445,404,301,214)( 57,399,243,370, 69,264,240, 7163 185,456, 80)( 59,270,244,379,319,494,138,137,246,466) 7164 ( 60, 95,199,131,413,408,422,387,476,353)( 61, 89,325,161,219,123,251, 7165 284,143,417)( 63,288,351,102,106,350,228,197,253,157) 7166 ( 72,277,204,216,449)( 77,473,210,144,176,289,486,162,515,460) 7167 ( 84,468,234,330,147,377,224,434,291,140)( 98,428,360,516,280,202,368, 7168 407,343,256)(107,320,469,168,159,327,245,447,347,322) 7169 (110,390,192,440,146,112,126,410,193,163)(127,397,485,513,247,369,329, 7170 313,165,341)(128,265,499,152,450,272,401,374,489,170) 7171 (130,188,495,416,132,222,294,402,311,190)(171,194,467,463,384,258,281, 7172 484,262,403)(183,317,207,328,299,338,354,308,518,482), 7173 ( 1, 10,133,315,203,226, 2,322)( 3, 45,162,144, 5, 33, 29,389) 7174 ( 4,243,175,252,393,460,247, 67)( 6, 39, 86,130,125,508,187,272) 7175 ( 7,519,178,222,253,228,402,485)( 8,453,190,513, 14,193,101,339) 7176 ( 9, 97,181,353,356, 84,502,414)( 11,334,357,338,213,123,270,477) 7177 ( 12,400,131,415,273,114,413,113)( 13, 35,320,367,217,364, 56,294) 7178 ( 15,501, 96,288,490,293,279,148)( 16,109,374,183,348,494,237,330) 7179 ( 17,170,352,518,304,292,280, 37)( 18,383, 19,223,210,117,416,102) 7180 ( 20,224,200,201,499,106,258,342)( 21,432,395,110,284,401,132,179) 7181 ( 22,135,474, 57, 36,286,457, 74)( 23, 89,263,172, 60,155,244,232) 7182 ( 24,344,369,306,229,452,104,505)( 25,271,516,449,169,205, 49,382) 7183 ( 26, 54,290,419,219, 72,463,240)( 27,298,471,507, 28,380,295,245) 7184 ( 30,355,134,208,176,514,215,147)( 31, 90,433,464,408, 68,233,448) 7185 ( 32,425,345,146, 46,466,216, 78)( 34, 77,168,127,388,174, 63,326) 7186 ( 38,368,427,323,160, 91, 40,145)( 41,151, 69,481,467,431,192,242) 7187 ( 42,438,473,370,261,327, 94,331)( 43,182,165,186,142,149,387,439) 7188 ( 44,289, 95,376,212, 98, 61,227)( 47,282,480,381,359,307,349,487) 7189 ( 48,422,173, 58, 79,291,250,506)( 50,351,423,503,365,153,347,430) 7190 ( 51,119,500,437, 75,445, 87,496)( 52,450,465,118,360,469,296,468) 7191 ( 53,372,275,305,257,268,325,309)( 55,336,440,346,443,333,486,163) 7192 ( 59,235,314,436,498,202,470,124)( 62,206,354,241,189,121,251,458) 7193 ( 64,319,421,483,362,493,417,197)( 65,103,384,420,456,407,324,137) 7194 ( 66,158,140,177,451,399,406,180)( 70,403,267,297,150, 81,311, 85) 7195 ( 71, 76,259,281,332,214,411,412)( 73,455,441,218,366,239,329,159) 7196 ( 80,185,343,230,249,497,276,194)( 82,302,405,340,198,316,495,446) 7197 ( 83,444,188,377,397,116,256,435)( 88,300,115,378,472,396,429,492) 7198 ( 92,156,195,220,157,350,476,312)( 93,358,504,139,373,138,166,491) 7199 ( 99,299,317,363,260,517,375,255)(100,512,111,391,418,231,409,341) 7200 (105,484,285,509,462,410,515,141)(107,447,274,371,126,361,161,482) 7201 (108,301,136,313,129,390,248,221)(112,211,511,209,337,199,318,478) 7202 (120,310,154,489,386,167,328,287)(122,461,404,191,392,171,442,128) 7203 (143,262,510,204,426,236,385,459)(152,398,184,254,196,265,394,475) 7204 (164,424,308,234,238,321,277,428)(207,264,303,266,488,479,335,225) 7205 (246,454,434,283,520,269,278,379) ] ], 7206[ 7, 24261120, 0, "2", [ [ 243, 1 ], [ 24, 1 ], [ 36, 1 ], [ 216, 1 ] ], 1, 7207 "PSL(4, 3).2^2", [ "L", [ 4, 3 ], 1 ], 7208 [ ( 1, 5,394,284)( 2, 95,156, 24,273, 29,127,182,210,219,237,370) 7209 ( 3,254,393,264,364,204)( 4,501,214,461, 42,471,489,478, 44,446,227, 7210 416)( 6,343,511,468,183,101,208,278,312,374,401,365) 7211 ( 7,184, 90,268,238,298,250, 80,198,267,217, 40)( 8,113,279, 49, 27, 7212 435,483, 34,189,318,454,141)( 9, 74, 26,229, 76,253, 82,288,305, 17, 7213 282,351)( 10,470,307,275,315,292,172,287,110,431,152,251) 7214 ( 11,333,314,168,418,362,361,129,338,429,306,301)( 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81,360,393,144, 71, 73, 59)( 20,226,421,202, 35,463,233, 7437 121,238,491)( 21, 39,488,476,299,473,125,520, 61,152) 7438 ( 22, 65,420,184,446,512,285,253,444,411)( 23,379,471,276,224,390,502, 7439 56, 40,230)( 24,245,262,344,220, 38,452,455, 46, 80)( 27,370, 57,199, 7440 138, 87,168,518,271,375)( 29,304,260,292,314,385,278,387,338,456) 7441 ( 30,448,469,236,155,478,104,181,146,256)( 31,437,376,113, 70,415,235, 7442 509,122,368)( 32,322,209, 91,418,303,103,100,422,229) 7443 ( 34,120,296,508,298,160,244,269, 42,349)( 36,468,332, 43, 58,254,462, 7444 498,101,453)( 37,472,458,327,325,363,218, 89,240,170) 7445 ( 41,391,182,270,223,201,506,496,237,180)( 45,302,195,132,219,118,519, 7446 389,480,217)( 47,166,401,320,331,154,440,281,486, 74) 7447 ( 48,348,171,430,188,511,148,404,205,143)( 49,189,131,115,293) 7448 ( 50,356,402, 88,481,427,261,174,105,367)( 51,123,227,485,445,438,274, 7449 234, 72,447)( 60,494,432,457,461,493,504,429,193,290) 7450 ( 62,321,177,252,128,382,470,164,153, 82)( 64,247,335,116,525,516,467, 7451 239, 85,284)( 66,300,309,216,431, 83, 67,407,255,399) 7452 ( 69,408,150,275,384,353,176, 77,357,206)( 78,329,213,394,514,204,295, 7453 409,380,515)( 79,434,297,372,109,291,412,268,102,215) 7454 ( 95,460,124,466,136)( 97,156,308,513,490,280,158,306,110,248) 7455 ( 98,257,312,316,249,286,396,107,272,242)(108,374,133,477,377,190,358, 7456 505,194,474)(111,198,416,336,117,185,287,179,119,483) 7457 (112,419,222,343,187,192,475,214,167,499)(127,479,178,500,259) 7458 (130,405,381,333,151,487,492,221,339,191)(139,403,251,318,449,159,337, 7459 373,307,169)(141,165,265,149,283)(208,345,341,326,210,346,330,282, 7460 425,288), ( 1,330,214,470,269,110)( 2,107,347,385,251,311) 7461 ( 3,413,471,174, 93, 60)( 4, 13,518, 70,164,239)( 5, 51,495,151, 7462 301,417)( 6,498,384,320,509, 22)( 7,202,507,327,323, 10) 7463 ( 8,429, 83,298,342, 47)( 9,129,116,305,277,119)( 11,125, 56,488, 7464 266,314)( 12,337,484,256,415, 75)( 14,282,439,521,423, 79) 7465 ( 15, 73,106,198,252, 64)( 16,172,444,102,478,261)( 17,222,159,467, 7466 43, 37)( 18,493,302,134,255,404)( 19,270)( 20,351,435,148, 68,117) 7467 ( 21,265,505, 97,379,419)( 23,286,162,316, 92,318)( 24,339,232,114, 7468 309,366)( 25, 96,193,137,127,126)( 26,241,189,135, 41,474) 7469 ( 27,358,492,288,515, 28)( 29,177,324)( 30,248,442, 31,436, 88) 7470 ( 32,240,345,348,386,402)( 33,504,483)( 34,389,168,350, 87,133) 7471 ( 35,394, 46,175,430,297)( 36,387,152,403,405,122)( 38,142,180,367, 7472 357,346)( 39,369,105,306,375,396)( 40,334,473,440,176,373) 7473 ( 42,111,254,145,257,522)( 44,395,312,517, 80,103)( 45, 50,183,101, 7474 289,187)( 48,287,382,259,294,150)( 49,293,276,411,506,380) 7475 ( 52,422, 69,519,437,331)( 53, 63,332)( 54,450,383,455,209,476) 7476 ( 55,292,225,376,267,173)( 57,510,104,186,246,166)( 58,245,516,363, 7477 416,290)( 59,368,139,178,433,179)( 61,508,283,278,352,230) 7478 ( 62,136,253,477,158,124)( 65,338,341,434,115,400)( 66,365,200,431, 7479 371,118)( 67,501,503,307,130, 74)( 71,194,296,426,378, 76) 7480 ( 72,329,356)( 77,360,132,155, 85,456)( 78,466,153,100,291,197) 7481 ( 81,226,325,469,459,494)( 82,156,138,274,328,201)( 84,381,353,454, 7482 462,143)( 86,407,191,203,361,392)( 89,140, 98,146,224,409) 7483 ( 90,317,211,149,499,184)( 91,210,299,131,322,268)( 94,359,205,399, 7484 418,234)( 95,223,215)( 99,406,414,262,335,279)(108,315,497,463,446, 7485 453)(109,264,236,489,123,170)(112,207,272,271,206,242) 7486 (113,461,496,465,220,161)(120,165,441,260,372,490)(121,147,458) 7487 (128,160,303,231,343,157)(141,374,390,237,208,190)(144,167,235,228, 7488 216,502)(154,196,244,185,511,468)(163,227,421,362,212,340) 7489 (169,479,219,188,427,397)(171,391,181,485,258,513)(182,512,295,308, 7490 460,425)(192,514,229)(195,408,321,280,432,448)(199,480,520,310,388, 7491 273)(204,319,523,221,285,457)(213,410,398,364,349,355) 7492 (217,281,420,452,263,445)(218,451,313,525,233,354)(238,336,472,300, 7493 500,524)(243,491,481,284,250,304)(247,475,482,275,428,449) 7494 (249,447,443,464,377,487)(326,393,401)(333,486,370,438,412,344) ] ], 7495[ 3, 378000, 0, "2", [ [ 144, 1 ], [ 20, 1 ], [ 120, 3 ] ], 1, "PGU(3, 5)", 7496 [ "2A", [ 2, 5 ], 1 ], 7497 [ ( 1,112,490, 20)( 2,220, 3,304)( 4, 70,323,202)( 5, 47, 60,139) 7498 ( 6,260,117,291)( 7,524,221, 12)( 8,298,392,191)( 9,305,144,228) 7499 ( 10,101,168,412)( 11, 90,374,182)( 13, 82,523, 81)( 14,485,365,375) 7500 ( 15,226,428,243)( 16,114,418,196)( 17,106,312,427)( 18,153,388,214) 7501 ( 19,477,292,213)( 21,199)( 22,508,206,189)( 23, 30,492,415) 7502 ( 24,102,511,359)( 25,249,318,420)( 26,458,135, 72)( 27, 66,126, 69) 7503 ( 28, 31,316,337)( 29,229)( 32,300,381, 99)( 33, 91,329,131) 7504 ( 34,407,239,378)( 35,175,501,130)( 36,285,413, 87)( 37,183,307,224) 7505 ( 38,391,454,216)( 39,252,235,448)( 40,342,142, 71)( 41, 55, 61,225) 7506 ( 42,233,186,383)( 43,181,394,119)( 44,360,503,118)( 45,507,486,133) 7507 ( 46,156,395,161)( 48,219,438,408)( 49,493,165,273)( 50,205,150,246) 7508 ( 51,287,122,409)( 52,155, 77,519)( 53,410,483,349)( 54,263,313,315) 7509 ( 56,157,303,314)( 57,451,145,476)( 58,334,497,143)( 59, 75, 76,406) 7510 ( 62,270,364,267)( 63,265,121,379)( 64,467,479,103)( 65,512,128,499) 7511 ( 67,187,159,140)( 68,355,170,124)( 73,306,321,502)( 74, 85,517,200) 7512 ( 78,242,506,109)( 79,345,132,373)( 80,328,297,496)( 83,151,179,471) 7513 ( 84,258,367,167)( 86, 96,433,227)( 88,387,279,347)( 89,261,344,166) 7514 ( 92,277,340,105)( 93,319,403,389)( 94,325,522,113)( 95,177)( 97,310) 7515 ( 98,152,294,301)(100,489,293,272)(104,370,444,146)(107,417,495,251) 7516 (108,362,447,515)(110,480,197,134)(111,138,478,491)(115,125,266,338) 7517 (116,430,513,222)(120,320,466,435)(123,330,509,380)(127,203,212,368) 7518 (129,286,396,421)(136,332,158,356)(137,445,162,464)(141,160,400,390) 7519 (147,283,504,230)(148,441,271,470)(149,488,308,208)(154,290,232,443) 7520 (163,463,358,377)(164,469,457,274)(169,437,482,282)(171,521,369,371) 7521 (172,201,257,250)(173,278,376,241)(174,461,385,481)(176,363,353,453) 7522 (178,335,296,484)(180,452,386,416)(184,192,211,223)(185,487,366,516) 7523 (188,423,449,422)(190,341,343,237)(193,431,288,331)(194,518,361,350) 7524 (195,280,275,247)(198,284,475,459)(204,472,327,256)(207,352,384,474) 7525 (209,339)(210,302)(215,295,514,425)(217,346,245,240)(218,525) 7526 (231,460,434,317)(234,289,510,382)(236,398,351,253)(238,348,262,462) 7527 (244,468)(248,336,500,436)(254,494,399,465)(255,411,520,372) 7528 (259,432,333,397)(264,276,498,269)(268,424,299,393)(281,455,446,354) 7529 (309,450)(311,414,405,442)(322,404)(326,505,401,419)(357,429,440,426) 7530 (402,439,473,456), ( 1,214,437,220,287, 36)( 2,334,498,377,102,479) 7531 ( 3,522,230,421,438,184)( 4,322,401,115,478,410)( 5,409,365,393, 7532 256,316)( 6,394, 67,144,124,301)( 7,192,153, 57,470,431) 7533 ( 8,312,374,231,326,246)( 9,103,205,512, 72, 11)( 10,194,142,518, 7534 180, 97)( 12,259,116, 29, 28,352)( 13,250,366,104,474,141) 7535 ( 14,403,356,315,135,185)( 15,434, 42,513,368,411)( 16,379,264,167, 7536 473, 35)( 17,519,465,173,308,453)( 18,182, 25,446,127,235) 7537 ( 19, 81,200, 77,463,282)( 20,240,145,338,367, 48)( 21,222,399,267, 7538 383,199)( 22,255,226, 83,441,117)( 23, 49,125,261, 41,435) 7539 ( 24,159,120,285, 69,162)( 26,490,436,491, 51,134)( 27,138, 33,466, 7540 280, 37)( 31,468,186,161, 68, 47)( 32,149,196,388,140,188)( 34,389) 7541 ( 38,325,511,340,295,502)( 39,245, 96,363, 78,229)( 40,450) 7542 ( 43,486,320,297,164,483)( 44,244,232, 79, 65,133)( 45,100,476) 7543 ( 46,254,236,342, 95,283)( 50,166, 53,459,492,112)( 52,318,136,424, 7544 494,405)( 54,456,464,400,169, 92)( 55,323,203,462,341, 63) 7545 ( 56,213,445,228, 80,515)( 58,344,402,380,171,354)( 59,362,524,137, 7546 454,177)( 60,183,258,292,168,444)( 61,128,423, 88,210,391) 7547 ( 62,251,175,174,425,311)( 64,139,370,272,172,216)( 66,384,337,398, 7548 417,375)( 70, 84,440)( 71,204,270,397,303,525)( 73,442,517) 7549 ( 74,143,439,321,510,278)( 75,218, 82,304,170,286)( 76,461,331,126, 7550 151,472)( 85,268,239,107,306, 89)( 86,225,160,223,348,275) 7551 ( 87,500,243,299,217,499)( 90,129,288,290,350,248)( 91,413,433,507, 7552 495,520)( 93,485,489,247,269,501)( 94,314,355,221,147,477) 7553 ( 98,333,351,154,263,106)( 99,458,307,480,195,488)(101,209,202,482, 7554 378,181)(105,449,293,471,233,426)(108,110)(109,148,111,291,443,309) 7555 (113,469,197,207,146,386)(114,163,357,430,508,516)(118,279,324,387, 7556 252,404)(119,487,346)(121,373,353,392,330,455)(122,152,249,406,253, 7557 189)(123,385,262,187,503,460)(130,271,284,521,212,360) 7558 (131,361,242,294,447,238)(132,381,382,364,215,237)(150,523,302,347, 7559 418,227)(155,432,305,509,296,190)(156,193,343,276,506,327) 7560 (157,504,310)(158,448,317,371,165,260)(176,265)(178,281,211,395,514, 7561 427)(179,349,266,206,376,289)(191,345)(198,412,201,208,241,428) 7562 (219,277,319,358,328,369)(224,396)(234,300,257,452,273,372) 7563 (274,313,298,422,332,497)(329,475)(335,420,496,415,408,481)(336,493) 7564 (339,416,451,407,359,419)(390,467)(429,457,505) ] ], 7565[ 4, 756000, 0, "2", [ [ 144, 1 ], [ 20, 1 ], [ 120, 3 ] ], 1, 7566 "PGammaU(3, 5)", [ "2A", [ 2, 5 ], 1 ], 7567 [ ( 1,376,458,271,235,249)( 2,384,192,306,326,509)( 3,172,297,123,492,439 7568 )( 4, 27,236)( 5,414, 67,283,209,277)( 6,421,430,385,290, 32) 7569 ( 7,425,278,489,111,496)( 8,276,438,491, 53,345)( 9,357,409,391, 7570 334, 54)( 10,402,364,110,293,128)( 11,106,161,151,418,517) 7571 ( 12,133,443, 83, 92,470)( 13,247,332,422, 95,482)( 14,511,389,100, 7572 473,311)( 15,112,507, 60,487,412)( 16, 47, 88,467,242,360) 7573 ( 17,107, 81,415,296, 28)( 18,114,132, 35,460,462)( 19,103,486,336, 7574 109,214)( 20, 58,181,504,232,379)( 21,440,344,234,321,231) 7575 ( 22,316,338)( 23,426,207,401,463,168)( 24,223, 80,122,308,257) 7576 ( 25,201,322,113,126, 66)( 26,130,420, 33, 37, 91)( 29,174,327,170, 7577 459,312)( 30,159,125,120,474,129)( 31,227,156, 74,461,157) 7578 ( 34,417,464)( 36,494,369,134, 79,348)( 38, 42,455,453,104,433) 7579 ( 39, 87,444,320,310, 76)( 40,392, 45,410,419,397)( 41,313,404,131, 7580 57,299)( 43,450,116,163, 56,390)( 44,490,287, 61,212,137) 7581 ( 46,423, 78,325,514,520)( 48,184,465,138,203,294)( 49,239,399,298, 7582 169,361)( 50,175,268,386,403,217)( 51,456, 65,149,405,319) 7583 ( 52,524,164,229, 82,428)( 55,341,346,447,246,339)( 59,190,266,258, 7584 335,307)( 62,502,365,197,377,429)( 63,387, 75, 77,381,442) 7585 ( 64,407,398,352,304, 97)( 68,178,253,265,305,238)( 69,259,303,472, 7586 193,165)( 70,188,475,324,243,437)( 71,140,446,162,367, 72) 7587 ( 73,148,135)( 84,510,115,285,216,393)( 85, 93,503,484,244,260) 7588 ( 86,476,301,127,200,143)( 89,400,263,145,167,354)( 90,230,495,353, 7589 488,121)( 94,211,432,481, 96,505)( 98,118,279,368,317,314) 7590 ( 99,337,501,362,102,189)(101,208,284,195,154,518)(105,441,262,516, 7591 220,222)(108,251,215,318,261,194)(117,396,183,366,340,204) 7592 (119,479,466,406,185,457)(124,274,323,485,331,270)(136,295,166,358, 7593 395,146)(139,448,196,142,349,388)(141,434,187,291,454,245) 7594 (144,512,363,180,152,435)(147,206,347,350,286,199)(150,383,342,210, 7595 499,173)(153,171,522,292,300,515)(155,380,449)(158,288,469,254,177, 7596 478)(160,370,372,356,213,328)(176,224,228,179,497,309)(182,275,378) 7597 (186,329,525,281,451,424)(191,513,355,408,351,205)(198,468,226,330, 7598 248,264)(202,500)(219,416,255,280,221,240)(225,411,256,371,250,272) 7599 (233,315,343)(237,521,267,523,273,477)(241,302,382,445,452,431) 7600 (252,471,508,483,269,359)(282,498,519)(289,375,333,493,394,506) 7601 (373,427,413,480,374,436), 7602 ( 1,412,410,399, 46,311,387,393,302,230,163,210,513,139,189, 14,111, 7603 453,341, 20,328)( 2,357,347,523,324, 26, 47,460,390, 43,413,509,363, 7604 380, 78,366, 91,349,329, 85,186)( 3,309,160, 99,400,376,187,424, 80, 7605 7, 30,153,228, 90,239,297,116,480,278,220,316)( 4,232, 36,194,291, 7606 260,253,200,298, 16, 27,144,396, 76,446,450,276,466,303,388, 98) 7607 ( 5,127,510,224,204, 37,227,280,167, 40,223,472,184,370,203, 88,299, 7608 417, 62,145,222)( 6,173,436,375,371,423,514,128, 57, 58,431,175,373, 7609 251, 65,243,102,219,156,315,241)( 8, 56, 82, 34,172,235,272, 21,151, 7610 199,265, 93,213,221,458,129,443,192,287,136,307)( 9, 44, 18, 12,389, 7611 294,515, 53,262, 45,180,476,107,481,445,238,176, 92,126,448,378) 7612 ( 10,229,257, 96,142,477,244,190,482,409,135,240,369,308,462,208,438, 7613 103, 13,158,326)( 11,130,504,233,211,285, 52,290,364,392, 49,517,183, 7614 181,463,331,492,336,415,182,263)( 15,218,119,433,161,467,475, 68,520, 7615 346,485,342,383,177,295,274,340,188,511,362,216)( 17,252,185,283,202, 7616 292,212,205,368,201,114,358,506,319, 25,197,493,386,461,519, 67) 7617 ( 19,306,456,518,452,300, 97, 28,385,351,266, 73,250,353,421,470,365, 7618 395,296,157,483)( 22,489,237,495,435,110,137,108,105,507,159, 75,451, 7619 101,379,442, 81,333,310,397, 72)( 23,118,215,434,405, 59,350,236,120, 7620 508,426,226,360,374,209,247,286,512,314,258,339)( 24,117,449,334,524, 7621 89,140,164, 33,248,414,494,138,206,313,123,454,134, 41,407,132) 7622 ( 29,419,268,486,179,503, 83,464,430,282,468, 60,191, 32,484,497,345, 7623 271, 31,154,279)( 35,168,131, 95,408,487,459,411,242,521,525,330,343, 7624 288,269,355,312,170,318,124,281)( 38,469,391,457,522,428,437,327,122, 7625 516, 42,254,404,478,394,109,356,256,505,425,113)( 39,403,231, 64,255, 7626 325,270,174,321,354,344,348, 61,264,502,416,267, 94,198,245,429) 7627 ( 48,335,367,100, 55,166, 63,275,148,171,115,305,125, 69,382,471,104, 7628 152,402,214,439)( 50, 79,112,106, 77,496,165,420,490,143,150,217, 71, 7629 323,361,338,473,398,418, 86,479)( 51,178,372,455,498,284,441,332,289, 7630 422,488,406, 70, 84,322,195,196,320,149,359,444)( 54,146,447,207,352, 7631 277,234,500,491,155,301,147,304,501,246,193,141,377, 66,273,465) 7632 ( 74,381,259,261,133,401,121,440,427,249,317,293,169,162,225,432,337, 7633 87,384,499,474) ] ], 7634[ 5, 604800, 1, "2", [ [ 12, 1 ], [ 192, 2 ], [ 96, 1 ], [ 32, 1 ] ], 1, 7635 "J_2", [ "Spor", "HJ = J(2) = F(5-)", 1 ], 7636 [ ( 1,357,463)( 2,239,201)( 3,519, 76)( 4,316,125)( 5,321,394) 7637 ( 6,211,240)( 8, 20,251)( 9,403,323)( 10,187,363)( 12, 90,331) 7638 ( 13,224,177)( 14,119,426)( 15,415,146)( 16,474,496)( 17,169,277) 7639 ( 18,120,413)( 19,164,229)( 21,400,475)( 22, 51,348)( 23,439,320) 7640 ( 24, 93,137)( 25,476,456)( 26, 60,332)( 27,421,194)( 28,183,117) 7641 ( 29, 46,366)( 30,241,516)( 31,304,514)( 32,138,375)( 33,503,466) 7642 ( 34,314,433)( 35,141,216)( 36,465,297)( 37,495,379)( 38,192, 96) 7643 ( 39,441,109)( 40,522,107)( 41, 77,344)( 42,234,213)( 43,288,232) 7644 ( 45,114, 86)( 47,175, 56)( 48,223,225)( 49,462,505)( 50,198,330) 7645 ( 52,515,167)( 53,149,430)( 54,451,356)( 55,328,204)( 57,267,477) 7646 ( 58,286, 85)( 59,259,101)( 61,517,334)( 62,460,509)( 63,168,478) 7647 ( 64,227,459)( 65,133,349)( 66,182, 99)( 67,178,395)( 68,352,278) 7648 ( 69,472,283)( 70,108,135)( 72,470,206)( 73,309,134)( 74,360,520) 7649 ( 75,417,341)( 78,507,302)( 79,485,398)( 81,324,353)( 82,301,484) 7650 ( 83,338,250)( 87,401,385)( 88,104,325)( 91,498,184)( 92,123, 97) 7651 ( 94,458,506)( 95,147,244)( 98,217,238)(100,145,469)(103,318,281) 7652 (105,369,445)(110,300,479)(111,307,124)(112,337,468)(113,367,269) 7653 (115,340,230)(116,335,228)(118,255,336)(121,490,428)(122,346,126) 7654 (127,497,273)(128,362,237)(129,432,449)(130,142,173)(131,165,243) 7655 (132,212,172)(136,448,444)(139,155,491)(143,310,290)(144,291,195) 7656 (148,435,203)(150,411,494)(151,287,368)(152,207,350)(154,262,317) 7657 (157,412,249)(158,381,179)(159,512,162)(160,270,347)(161,218,257) 7658 (163,431,294)(166,231,222)(170,397,202)(174,188,511)(176,464,272) 7659 (180,452,235)(181,274,354)(185,437,282)(186,436,266)(189,215,518) 7660 (190,308,256)(191,501,434)(193,263,380)(196,289,351)(197,226,233) 7661 (200,296,500)(208,254,499)(209,361,261)(210,446,279)(219,404,293) 7662 (220,322,429)(221,480,364)(242,467,473)(245,488,393)(247,285,260) 7663 (248,492,265)(252,409,258)(253,504,315)(264,374,280)(271,382,373) 7664 (275,424,440)(276,390,342)(284,378,423)(295,405,333)(298,447,438) 7665 (299,461,419)(303,521,386)(305,313,457)(306,486,418)(311,416,343) 7666 (312,408,420)(319,406,327)(326,455,355)(329,392,422)(345,450,384) 7667 (358,453,523)(359,510,487)(365,387,377)(370,388,493)(372,508,482) 7668 (376,396,389)(391,471,502)(402,414,443)(427,525,513)(442,524,454), 7669 ( 1, 19, 54,399,266)( 2, 33,263,155,299)( 3, 10,291, 85,501) 7670 ( 4,289,402,383, 8)( 5,180,419,199,227)( 6,243,362,417,455) 7671 ( 7,450,363, 82,273)( 9, 13,101, 58,471)( 11,118,411,348,400) 7672 ( 12,507,429,112,192)( 14, 70,360, 75, 72)( 15,256,499,167,237) 7673 ( 16,378,193,115,338)( 17,270,403,416,484)( 18,279,427,381,418) 7674 ( 20,451,129, 97, 62)( 21,388,356,449, 39)( 22,394,138, 29,318) 7675 ( 23,298,369,469,497)( 24,280,486,211,425)( 25,322,468,172,282) 7676 ( 26,333,158,130,465)( 27, 95,345,250,340)( 28,319,142,514,124) 7677 ( 30,498,297, 40,293)( 31,503, 47,283,269)( 32,137, 35,470,146) 7678 ( 34,459,396,474,287)( 36,241,522,220,337)( 37,496,102,370,210) 7679 ( 38, 98, 78,161, 94)( 41,311,379,169,504)( 42,188,475,512,323) 7680 ( 43,494,357,372,353)( 44,366,341,343,252)( 45,288,460,339,320) 7681 ( 46,107,412,382, 73)( 48,178,139,473,257)( 49,296,437,247,120) 7682 ( 50,336,525,307,290)( 51,317,135,482,350)( 52,190, 96,208,302) 7683 ( 53,249,518, 57,439)( 55, 67,398,441,141)( 56,274,389,330,236) 7684 ( 59,173,238,157,502)( 60,489,386,253,206)( 61,521, 92,258,159) 7685 ( 63,185,367,132,476)( 64,216,234,212,490)( 65, 91,174, 87,436) 7686 ( 66,300,431,116,361)( 68,121,483,226,195)( 69,428,448,225, 86) 7687 ( 71,165,375,410,423)( 74,426,447,123,513)( 76,421, 84,143,485) 7688 ( 77,204,196,463,488)( 79,315,224,232,495)( 80,244,292,136, 99) 7689 ( 81,392,481,145,491)( 83,127,197,409,493)( 88,509,251,276,122) 7690 ( 89,424,408,385,205)( 90,219,415,128,184)( 93,401,384,316,309) 7691 (100,198,255,248,105)(103,477,106,117,133)(104,301,397,393,355) 7692 (108,466,407,214,151)(109,200,260,325,492)(110,456,487,326,461) 7693 (111,246,432,160,335)(113,331,478,377,364)(114,228,508,312,262) 7694 (119,395,170,520,516)(125,430,515,452,413)(126,467,510,177,517) 7695 (131,235,207,349,332)(134,153,405,209,223)(140,346,152,222,445) 7696 (144,189,231,519,446)(147,186,454,203,414)(148,442,213,254,359) 7697 (149,168,163,422,368)(150,406,191,453,187)(154,351,166,347,181) 7698 (156,239,245,328,314)(162,472,294,334,268)(164,194,275,240,295) 7699 (171,479,176,434,313)(175,259,391,329,284)(179,352,387,182,201) 7700 (183,267,233,265,457)(202,261,506,511,376)(215,524,344,435,327) 7701 (217,218,221,365,458)(229,462,321,308,304)(230,390,303,305,310) 7702 (242,404,281,443,440)(264,373,438,523,505)(271,433,444,480,464) 7703 (272,278,285,420,500)(277,358,342,371,380)(286,306,324,354,374) ] ], 7704[ 6, 1209600, 0, "2", [ [ 12, 1 ], [ 192, 2 ], [ 96, 1 ], [ 32, 1 ] ], 1, 7705 "J_2.2", [ "Spor", "HJ = J(2) = F(5-)", 1 ], 7706 [ ( 1,419,487,321,154,476,416,200, 6, 88,106,368,248,201,432) 7707 ( 2,323,339,137,189,341,412,354,244,337,270,284,218,267,202) 7708 ( 3,437,463,456,370)( 4,152, 42,306,479,258,374, 61,138,356,422,227, 7709 195,502,395)( 5,118, 97, 49,275,298,499,351, 21,113,417,283,262,302, 7710 371)( 7,443,257,274,126)( 8,313,373,475, 60,124,423,308,116,254, 7711 229,453,491,509,314)( 9, 30,360, 78,340,209,312, 39, 40,127,324,331, 7712 69,401, 16)( 10,496,221,366,523,448,198,383,521,261,158,271,143, 99, 7713 157)( 11,304, 17,387, 52,349,380,112,186,187,345,259,352, 46, 77) 7714 ( 12,458,231, 95, 35,164,512,295,442, 20,445, 93,490,464,420) 7715 ( 13,386,452,504,384,220,260,170,203, 65,179,197, 85,342,425) 7716 ( 14,413,109,411,333,399,472,255,156,117,150, 34,332,426,428) 7717 ( 15,185,282, 27,375,193,171,493,148,418,253,388,205, 31,398) 7718 ( 18,436,525,252,214,441,233,359,264, 22,208, 66,372,217,431) 7719 ( 19,105,110,434,178,516,408,213,501, 82,141,307,328,191,517) 7720 ( 23,234,405,291,454,272,451,166,204, 57, 24,301, 28, 67,506) 7721 ( 25,174, 75,508, 36,357, 45, 63, 53,379, 89, 92,279,175,309) 7722 ( 26,446,269,522,188,120,347,424,460,129,520,211,489,145,232) 7723 ( 29,346, 62,134,393,319,246, 87,311,280,226,402,462,212,392) 7724 ( 32,207, 90,241,329,485,409,216,251, 64,391,245,111,369, 98) 7725 ( 33,343,183,461,466,481,297,222,172,135,108,184,121, 37,140) 7726 ( 38,385,511,114,335,192,400,289,317,107, 80,100,104,288,505) 7727 ( 41,483,103,169,362,136,519,515,180,397,224, 76,381,215, 68) 7728 ( 43,404,430,196,236,123, 56,427,449,473,325,510,296, 86,242) 7729 ( 44,471,165,403,249,223, 79,225,358,457,243,486,268,355, 81) 7730 ( 47,146, 91,278, 55,513,101,299,286, 54,492,435, 73,518,334) 7731 ( 48,440, 83,367,131)( 50,514,147,394,396,256,390, 94,478, 71,115,415, 7732 320,160, 72)( 51,459,149,327,336,153,125,265,303,433,163,488,293,365, 7733 74)( 58,439,199,455,438,277,524,161,361,168,128,159,181,305,240) 7734 ( 59,382,376,210,176,421,142,470,239,477,315,497,407,447,162) 7735 ( 70,467,503,450,133)( 84,377,350,151,228,122,285,238,495,469,414,182, 7736 316,498,507)( 96,290,119,494,480)(102,474,322,281,139,338,190,167, 7737 363,273,250,130,444,177,330)(132,276,482,300,235,465,263,500,484,468, 7738 287,194,219,144,237)(155,318,378,406,310,173,344,326,247,292,230,429, 7739 353,266,364)(206,410,389,294,348), 7740 ( 1, 31,469,198,495,133,472,514, 21,260,394,491,379,324) 7741 ( 2,211,191, 73,471,148, 27,116, 44,490,214,139,395,113) 7742 ( 3,473,304,310,267, 69,437,327,298,108,353,374,424, 37) 7743 ( 4,479,510, 74,261,202,484,439,163, 93,100, 50,258,274) 7744 ( 5,285, 62,281, 28,346,489,209,520,383,396,486,351,373) 7745 ( 6,392, 45,361,249,172, 95,423,236,247,243,264,455,331) 7746 ( 7,438,215,259,458, 70,179,222,129,349,272,192,409,313) 7747 ( 8,170, 67,173,174,233,183, 57,405,177,210,470,156,245) 7748 ( 9,441,102,401,180,406,308,196,318,335,447,500,497, 80) 7749 ( 10,106,498,218,111,435,199,104,523, 43,365,157, 29,254) 7750 ( 11,147,430,506,465,488,168, 15,485,244,336,452,110,145) 7751 ( 12,118,477,411,321,483,499,217,421, 18,360,515,464,303) 7752 ( 13,153,461,229, 51,146,425,511,284,446,413,478,448, 60) 7753 ( 14,224,107,166,367,230,343,390,270,292, 40,112,273,402) 7754 ( 16,208,255,418,195,117,326,378,522, 42,341,251,266,178) 7755 ( 17,149,468,440,334,293,203,121, 79,299,362,328,143,372) 7756 ( 19,227, 77,232,444,123,442,124,278,212,171,481,194,175) 7757 ( 20,162,268,414, 46,325,391,280,306,239,363,462,234,359) 7758 ( 22,131,368,216,369,290,275,141,105,276,150,257,109,323) 7759 ( 23,366, 71, 49, 94,345,466,204, 41, 33,160,443,340, 26) 7760 ( 24, 75,154,322,436,252,420,518,297,140,205,263,427,516) 7761 ( 25,300,342,164, 39,389,127, 34,408,320,291, 56,283, 76) 7762 ( 30,305,385,122,403,307,151, 82,450,242, 81,352,144,125) 7763 ( 32,449,282,350,134,525,319,410,433,137,250,329,463,381) 7764 ( 35,445, 83,265,294,457, 66, 86,167,347,314,354,286, 38) 7765 ( 36,193,453,467,103, 58,309,241,312,101,248,289,519,332) 7766 ( 47, 55,487,159,393,397, 61, 68,426,189,200,235,513, 48) 7767 ( 52,333,135,382,377,317,407)( 53,138, 96,524, 64,338,231,169,240,337, 7768 126,376,508,521)( 54,161,459,400,155,454,348,451,165,404,357, 65,237, 7769 494)( 59,501,386,197,221,213,475,339,398,399,256,132,419,295) 7770 ( 63,460,185,502,114,246,429)( 72, 99,493, 97,517,370,476,152,130, 84, 7771 279,316,358,507)( 78,364,375,496, 88,225,206, 87,482,474,371,182,287, 7772 504)( 85,269,431,181,480,492,119,384,416,417,186,315,456,223) 7773 ( 89,330,301,296,355,238,428, 91,387,512,380,207,277, 98) 7774 ( 90,226,120,262,220,412,201)( 92,253,503,128,176,142,188,187,505,422, 7775 219,388,311,344)(115,288,356,136,302,228,190)(158,434,432,271,415, 7776 184,509) ] ], 7777[7, Factorial(525)/2,1,"2",[[524,1]],523, "Alt(525)", ["A",525, 1], "Alt"], 7778[8, Factorial(525),0,"2",[[524, 1]],525, "Sym(525)", ["A",525, 1], "Sym"]]; 7779PRIMGRP[526]:= 7780[[1, Factorial(526)/2,1,"2",[[525,1]],524, "Alt(526)", ["A",526, 1], "Alt"], 7781[2, Factorial(526),0,"2",[[525, 1]],526, "Sym(526)", ["A",526, 1], "Sym"]]; 7782PRIMGRP[527]:= 7783[[ 1, 23499295948800, 1, "2", [ [ 256, 1 ], [ 270, 1 ] ], 1, "O+(10, 2)", 7784 [ "D", [ 5, 2 ], 1 ], 7785 [ ( 4, 9)( 10, 17)( 12, 18)( 14, 19)( 16, 20)( 24, 49)( 25, 50)( 26, 51) 7786 ( 27, 52)( 28, 53)( 31, 54)( 33, 55)( 34, 56)( 35, 57)( 36, 58) 7787 ( 38, 59)( 41, 60)( 42, 61)( 43, 62)( 44, 63)( 45, 64)( 68,113) 7788 ( 70,114)( 71,115)( 72,116)( 73,117)( 75,118)( 81,119)( 82,120) 7789 ( 83,121)( 84,122)( 85,123)( 86,124)( 87,125)( 88,126)( 92,127) 7790 ( 95,128)( 96,129)( 97,130)( 98,131)(101,132)(102,133)(103,134) 7791 (104,135)(107,136)(137,205)(138,206)(140,207)(141,208)(143,209) 7792 (144,210)(145,211)(146,212)(147,213)(148,214)(149,215)(150,216) 7793 (151,217)(152,218)(153,219)(154,220)(155,221)(156,222)(157,223) 7794 (158,224)(159,225)(162,226)(163,227)(165,228)(166,229)(167,230) 7795 (168,231)(170,232)(171,233)(173,234)(174,235)(175,236)(176,237) 7796 (177,238)(178,239)(179,240)(180,241)(183,242)(186,243)(189,244) 7797 (192,245)(193,246)(195,247)(196,248)(203,249)(204,250)(251,329) 7798 (252,330)(253,331)(254,332)(255,333)(256,334)(257,335)(258,336) 7799 (259,337)(260,338)(261,339)(266,340)(267,341)(268,342)(274,343) 7800 (275,344)(276,345)(277,346)(278,347)(279,348)(280,349)(282,350) 7801 (283,351)(285,352)(286,353)(287,354)(288,355)(289,356)(290,357) 7802 (293,358)(294,359)(295,360)(296,361)(297,362)(299,363)(300,364) 7803 (301,365)(303,366)(304,367)(305,368)(306,369)(307,370)(308,371) 7804 (309,372)(311,373)(313,374)(314,375)(317,376)(318,377)(319,378) 7805 (321,379)(323,380)(324,381)(325,382)(327,383)(384,449)(385,450) 7806 (386,451)(393,452)(395,453)(397,454)(401,455)(402,456)(405,457) 7807 (406,458)(407,459)(408,460)(409,461)(410,462)(411,463)(413,464) 7808 (414,465)(415,466)(420,467)(421,468)(422,469)(427,470)(429,471) 7809 (431,472)(433,473)(437,474)(438,475)(439,476)(440,477)(441,478) 7810 (443,479)(444,480)(446,481)(448,482)(484,513)(485,514)(492,515) 7811 (495,516)(496,517)(497,518)(498,519)(499,520)(507,521)(512,522) 7812 (523,525)(524,526), ( 1, 2, 3, 4, 5, 6, 7, 8)( 9, 10, 11, 12, 7813 13, 14, 15, 16)( 17, 21, 25, 29, 33, 37, 41, 45)( 18, 22, 26, 30, 34, 7814 38, 42, 46)( 19, 23, 27, 31, 35, 39, 43, 47)( 20, 24, 28, 32, 36, 40, 7815 44, 48)( 49, 65, 80, 64, 79, 90,100,106)( 50, 66, 81, 91,101,107, 61, 7816 76)( 51, 67, 82, 92,102,108, 62, 77)( 52, 68, 83, 93,103,109, 63, 78) 7817 ( 53, 69, 84, 94,104,110, 60, 75)( 54, 59, 74, 89, 99,105,111,112) 7818 ( 55, 70, 85, 95, 57, 72, 87, 97)( 56, 71, 86, 96, 58, 73, 88, 98) 7819 (113,137,161,173,185,191,197,201)(114,138,162,174,186,192,129,153) 7820 (115,139,163,175)(116,140,131,155,171,183,189,195)(117,141,130,154) 7821 (118,142,164,176,187,193,198,202)(119,143,165,177,133,157,125,149) 7822 (120,144,166,178,134,158,126,150)(121,145,167,179,135,159,123,147) 7823 (122,146,168,180,132,156,124,148)(127,151,169,181,188,194,199,203) 7824 (128,152,170,182)(136,160,172,184,190,196,200,204)(205,251,234,274, 7825 298,314,322,221)(206,252,286,304,317,239,277,225)(207,216,260,290, 7826 308,319,324,223)(208,215,259,212,256,240,278,224)(209,253,287,305, 7827 318,245,214,258)(210,254,288,306,222,265,295,311)(211,255,241,279, 7828 300,242,280,301)(213,257,289,307,238,276,299,315)(217,261,291,309, 7829 320,325,249,235)(218,262,292,236)(219,263,293,237,275,246,283,302) 7830 (220,264,294,310,321,326,327,328)(226,266,296,312,244,282,232,272) 7831 (227,267,233,273,297,313,243,281)(228,268,229,269,230,270,231,271) 7832 (247,284,303,316,323,248,285,250)(329,384,351,404,336,391,348,401) 7833 (330,385,433,440,378,427,363,416)(331,386,371,422,376,425,333,388) 7834 (332,387,369,350,403,436,373,340)(334,389)(335,390,370,374,345,398, 7835 435,341)(337,392,347,400,359,412,383,432)(338,393,368,421,339,394, 7836 375,424)(342,395,434,441,445,446,447,448)(343,396,372,423,380,429, 7837 344,397)(346,399,358,411,352,405,365,418)(349,402,356,409,354,407, 7838 437,442)(353,406,381,430,366,419,382,431)(355,408,364,417,439,444, 7839 367,420)(357,410,438,443,377,426,360,413)(361,414,362,415)(379,428) 7840 (449,483,500,463,489,457,455,487)(450,462,477,479,470,493,504,464) 7841 (451,484,469,492,503,507,510,512)(452,458,468,491,502,506,509,472) 7842 (453,485,478,498,481,499,482,466)(454,486,501,505,508,511,471,494) 7843 (456,488,461,480,459,467,490,460)(465,476,497,473,495,475,496,474) 7844 (513,517,515,514,521,520,522,518)(516,523)(519,524)(526,527) ] ], 7845[ 2, 46998591897600, 0, "2", [ [ 256, 1 ], [ 270, 1 ] ], 1, "PSO+(10, 2)", 7846 [ "D", [ 5, 2 ], 1 ], 7847 [ ( 4, 9)( 10, 17)( 12, 18)( 14, 19)( 16, 20)( 24, 49)( 25, 50)( 26, 51) 7848 ( 27, 52)( 28, 53)( 31, 54)( 33, 55)( 34, 56)( 35, 57)( 36, 58) 7849 ( 38, 59)( 41, 60)( 42, 61)( 43, 62)( 44, 63)( 45, 64)( 68,113) 7850 ( 70,114)( 71,115)( 72,116)( 73,117)( 75,118)( 81,119)( 82,120) 7851 ( 83,121)( 84,122)( 85,123)( 86,124)( 87,125)( 88,126)( 92,127) 7852 ( 95,128)( 96,129)( 97,130)( 98,131)(101,132)(102,133)(103,134) 7853 (104,135)(107,136)(137,205)(138,206)(140,207)(141,208)(143,209) 7854 (144,210)(145,211)(146,212)(147,213)(148,214)(149,215)(150,216) 7855 (151,217)(152,218)(153,219)(154,220)(155,221)(156,222)(157,223) 7856 (158,224)(159,225)(162,226)(163,227)(165,228)(166,229)(167,230) 7857 (168,231)(170,232)(171,233)(173,234)(174,235)(175,236)(176,237) 7858 (177,238)(178,239)(179,240)(180,241)(183,242)(186,243)(189,244) 7859 (192,245)(193,246)(195,247)(196,248)(203,249)(204,250)(251,329) 7860 (252,330)(253,331)(254,332)(255,333)(256,334)(257,335)(258,336) 7861 (259,337)(260,338)(261,339)(266,340)(267,341)(268,342)(274,343) 7862 (275,344)(276,345)(277,346)(278,347)(279,348)(280,349)(282,350) 7863 (283,351)(285,352)(286,353)(287,354)(288,355)(289,356)(290,357) 7864 (293,358)(294,359)(295,360)(296,361)(297,362)(299,363)(300,364) 7865 (301,365)(303,366)(304,367)(305,368)(306,369)(307,370)(308,371) 7866 (309,372)(311,373)(313,374)(314,375)(317,376)(318,377)(319,378) 7867 (321,379)(323,380)(324,381)(325,382)(327,383)(384,449)(385,450) 7868 (386,451)(393,452)(395,453)(397,454)(401,455)(402,456)(405,457) 7869 (406,458)(407,459)(408,460)(409,461)(410,462)(411,463)(413,464) 7870 (414,465)(415,466)(420,467)(421,468)(422,469)(427,470)(429,471) 7871 (431,472)(433,473)(437,474)(438,475)(439,476)(440,477)(441,478) 7872 (443,479)(444,480)(446,481)(448,482)(484,513)(485,514)(492,515) 7873 (495,516)(496,517)(497,518)(498,519)(499,520)(507,521)(512,522) 7874 (523,525)(524,526), ( 1, 2, 3, 4, 5, 6, 7, 8)( 9, 10, 11, 12, 7875 13, 14, 15, 16)( 17, 21, 25, 29, 33, 37, 41, 45)( 18, 22, 26, 30, 34, 7876 38, 42, 46)( 19, 23, 27, 31, 35, 39, 43, 47)( 20, 24, 28, 32, 36, 40, 7877 44, 48)( 49, 65, 80, 64, 79, 90,100,106)( 50, 66, 81, 91,101,107, 61, 7878 76)( 51, 67, 82, 92,102,108, 62, 77)( 52, 68, 83, 93,103,109, 63, 78) 7879 ( 53, 69, 84, 94,104,110, 60, 75)( 54, 59, 74, 89, 99,105,111,112) 7880 ( 55, 70, 85, 95, 57, 72, 87, 97)( 56, 71, 86, 96, 58, 73, 88, 98) 7881 (113,137,161,173,185,191,197,201)(114,138,162,174,186,192,129,153) 7882 (115,139,163,175)(116,140,131,155,171,183,189,195)(117,141,130,154) 7883 (118,142,164,176,187,193,198,202)(119,143,165,177,133,157,125,149) 7884 (120,144,166,178,134,158,126,150)(121,145,167,179,135,159,123,147) 7885 (122,146,168,180,132,156,124,148)(127,151,169,181,188,194,199,203) 7886 (128,152,170,182)(136,160,172,184,190,196,200,204)(205,251,234,274, 7887 298,314,322,221)(206,252,286,304,317,239,277,225)(207,216,260,290, 7888 308,319,324,223)(208,215,259,212,256,240,278,224)(209,253,287,305, 7889 318,245,214,258)(210,254,288,306,222,265,295,311)(211,255,241,279, 7890 300,242,280,301)(213,257,289,307,238,276,299,315)(217,261,291,309, 7891 320,325,249,235)(218,262,292,236)(219,263,293,237,275,246,283,302) 7892 (220,264,294,310,321,326,327,328)(226,266,296,312,244,282,232,272) 7893 (227,267,233,273,297,313,243,281)(228,268,229,269,230,270,231,271) 7894 (247,284,303,316,323,248,285,250)(329,384,351,404,336,391,348,401) 7895 (330,385,433,440,378,427,363,416)(331,386,371,422,376,425,333,388) 7896 (332,387,369,350,403,436,373,340)(334,389)(335,390,370,374,345,398, 7897 435,341)(337,392,347,400,359,412,383,432)(338,393,368,421,339,394, 7898 375,424)(342,395,434,441,445,446,447,448)(343,396,372,423,380,429, 7899 344,397)(346,399,358,411,352,405,365,418)(349,402,356,409,354,407, 7900 437,442)(353,406,381,430,366,419,382,431)(355,408,364,417,439,444, 7901 367,420)(357,410,438,443,377,426,360,413)(361,414,362,415)(379,428) 7902 (449,483,500,463,489,457,455,487)(450,462,477,479,470,493,504,464) 7903 (451,484,469,492,503,507,510,512)(452,458,468,491,502,506,509,472) 7904 (453,485,478,498,481,499,482,466)(454,486,501,505,508,511,471,494) 7905 (456,488,461,480,459,467,490,460)(465,476,497,473,495,475,496,474) 7906 (513,517,515,514,521,520,522,518)(516,523)(519,524)(526,527), 7907 ( 1, 5)( 10, 14)( 17, 19)( 21, 39)( 22, 40)( 23, 37)( 24, 38)( 26, 28) 7908 ( 33, 35)( 42, 44)( 49, 59)( 51, 53)( 55, 57)( 61, 63)( 65,111) 7909 ( 66, 94)( 67, 91)( 68, 92)( 69, 93)( 74, 90)( 75,107)( 76,108) 7910 ( 77,109)( 78,110)( 79,105)( 81, 83)( 86, 88)(102,104)(113,127) 7911 (118,136)(119,121)(124,126)(133,135)(137,196)(138,183)(140,192) 7912 (142,194)(147,177)(148,178)(149,179)(150,180)(151,193)(153,195) 7913 (155,174)(160,191)(161,164)(166,168)(169,172)(185,188)(187,190) 7914 (197,198)(199,200)(205,248)(206,242)(207,245)(213,238)(214,239) 7915 (215,240)(216,241)(217,246)(219,247)(221,235)(229,231)(251,293) 7916 (252,287)(253,308)(255,317)(258,301)(260,286)(261,303)(263,320) 7917 (264,326)(267,313)(272,312)(274,309)(275,323)(277,324)(279,305) 7918 (280,319)(283,314)(284,298)(285,325)(288,295)(329,358)(330,354) 7919 (331,371)(333,376)(336,365)(338,353)(339,366)(341,374)(343,372) 7920 (344,380)(346,381)(348,368)(349,378)(351,375)(352,382)(355,360) 7921 (384,421)(387,436)(391,424)(392,432)(393,431)(394,430)(395,446) 7922 (399,419)(400,412)(401,411)(404,418)(405,406)(408,443)(409,440) 7923 (413,444)(416,442)(438,439)(449,468)(452,472)(453,481)(455,463) 7924 (457,458)(460,479)(461,477)(464,480)(475,476)(483,506)(484,512) 7925 (486,505)(487,500)(489,509)(490,504)(491,502)(492,507)(494,511) 7926 (513,522)(515,521) ] ], 7927[3, Factorial(527)/2,1,"2",[[526,1]],525, "Alt(527)", ["A",527, 1], "Alt"], 7928[4, Factorial(527),0,"2",[[526, 1]],527, "Sym(527)", ["A",527, 1], "Sym"]]; 7929PRIMGRP[528]:= 7930[[ 1, 32736, 1, "2", [ [ 62, 1 ], [ 31, 15 ] ], 1, "PSL(2, 2^5)", 7931 [ "L", [ 2, 32 ], 1 ], 7932 [ ( 1,465,509,448,368,283, 22,224,247,382,275,186,385,205,265,443,208, 8, 7933 97,243,340, 92,126,464,203, 2,317, 15,472,151,435)( 3,447,327, 72, 7934 31,487,272,288,425,458,263, 59, 17,357,504,405, 55,127,131,402, 86, 7935 130,502,160,322,172,122, 71,202,159,326)( 4,150,286,290,274,248,173, 7936 441,427, 65,168,306,452, 73,256,188,330,513,490,231, 28,463, 21,227, 7937 324, 13,291,417, 53,524,253)( 5, 88,394,398,408,217,352,499,506,361, 7938 140, 42,479,149,117,164, 69,446,420,129,355,480,362,264,369,481,508, 7939 58,380,134, 67)( 6,305,485,228,209,157,125,311,395,416,318,104,442, 7940 230, 75,234,424,389,240,309,423,277,118,459,466, 57,107,296,387,169, 7941 27)( 7,232, 98,255,165,258,145,241,257,123, 80, 24,460,148,378,449, 7942 198,303,175,250,187,379,300,410,287,295,251,482,239, 23,244) 7943 ( 9,200, 81,439,343,163,154,116, 96,111,354,328,128,181,156,371,184, 7944 252,456, 87, 91,373,170,269,474,478, 95,261, 94,245,282) 7945 ( 10,411,266, 77,505,332,100,307,469, 89,495, 46,298,404, 25,515,455, 7946 233, 64,316,182,153, 19,494,409, 34, 99,197,204,259,339) 7947 ( 11,226,429,103, 36,185,401,289,337, 93,142,360,201, 51,176,237, 48, 7948 321,115,356,376,418,206,146,522,299,454,450,281,278,428) 7949 ( 12,467,225, 14,312,147,353,162,475, 33,158,144,412, 62,155,236, 70, 7950 220,179,199,294,516,413,284, 43, 49,503,314,512, 32,344) 7951 ( 16,397,308,391,297,528, 38,381, 44,136,383,273,139,372,108,440,167, 7952 56,335,180,189,132, 60,235,390,262,431,336, 45,453,477) 7953 ( 18,218, 83,349,491,426,451,419,191,422,351,406,271,358, 84,331,347, 7954 345,178,377,213,268,517,270,141,445,501,484,473,497,109) 7955 ( 20, 39,216,333,138,276,137, 61, 30,438, 68,302,304,242,399,525,510, 7956 152,214,249,310,493,221,212,370,210,367,174,135,329,359) 7957 ( 26,292,106,229,260,488, 35,403,120,279, 54,334,267,421,319,207,161, 7958 323,113,133, 50,396,338, 29,350, 52, 82,246,285,177,192) 7959 ( 37, 74,196, 76, 63,315, 78,105, 41,363,366,143,101,393,320, 90,434, 7960 492,348,346,325,486,526,110,211,301,470,219,433,193,436) 7961 ( 40,102,183,407,313,114,195,437,112,121,194,500,430,392,166,457,461, 7962 238,375,496,498,415,254,365,483,523,521, 85,342,222,374) 7963 ( 47,386,190,414,527,119,444,280,518,514,432,489,476,124,519, 79,215, 7964 364, 66,384,341,171,388,468,462,471,400,223,507,293,511), 7965 ( 1,140,161,362, 58,432,506,435,174,272,403, 77, 21,277,460, 61,346, 7966 44,283,345,409,517, 2, 56,492, 20,148, 75,441, 25,384,202,302) 7967 ( 3,215,477,359, 15, 47, 82,448, 30,431, 54, 72,439,521,422,255,430, 7968 329, 14,299,236,110,361,393,503,226,162,438,415,300,109,437,154) 7969 ( 4,383,508,178,459,183,414,203,420, 37,204,323,191,244,253,251, 18, 7970 514,182,315, 5, 22, 29, 40,442,268,264,440,524,360,500,254,237) 7971 ( 6,100,260,105,385,287,166,337,405,446,222, 9, 94,128,111,313, 88, 7972 402,115,496,232, 97,193,388, 46,209, 93,275,350,147,190,340,321) 7973 ( 7, 66,290,201,305,522, 35,333,320,526,138,341,429,228,176,291,120, 7974 295,375,307,505,156,262,144,447,348,327,344, 16, 95,404,495,457) 7975 ( 8,301,143,205,401,332,149,472,377,256,306,234,342,296,527,211,456, 7976 171,239,488,170,101,338,395,114,423,490,188,213,509,217,298,376) 7977 ( 10,433,265,181,142,119,225,326,175,214,177,507,310,241, 31,475,396, 7978 48,261,208, 41,233,274,259,242,116,351,127,497, 81,210,316, 13) 7979 ( 11,464,511,413, 73,483,137,229, 59,425,248,324,122,160,468, 39,121, 7980 330,199,246,224,454,141,416,303,515,394, 91, 69,266,257,107,331) 7981 ( 12,494,444,374, 85,168,104,133,499,358,343,353,367,297,485,132,304, 7982 312,163,501, 42,280,466,231,195,407, 50, 34,158,278,368,317,281) 7983 ( 17,373,486,159,463,389, 80,152,493,449,240,427,487, 90, 87,502,134, 7984 381,212,471,470,412, 64,378,520, 24,339, 32,366,292,525,335,355) 7985 ( 19,221,131,185,364,519,136,491,167,267,279,418, 55,510, 99,512,145, 7986 451,155, 60,480, 92, 23,417,286,482,382,380,391,314, 83,250, 62) 7987 ( 26,513,347,408,102,117,270,452,400, 86,419, 38,481,421,235,516,179, 7988 206,436,309,151,465,424, 78, 36,284,294,308,124,369,180,218,504) 7989 ( 27,523,112,157,397,263,118,219,386, 96,467,197, 84,192, 70,198,135, 7990 282, 51,354, 68,123, 49,223,445,153, 33,200, 52,363,230,322,390) 7991 ( 28,285,245, 45,328,293, 65,398,196,356,113,311,469,103,271,365,243, 7992 474,458,370,399,172,184,186,194,484,146, 89,387,518,289, 76,164) 7993 ( 43,189,126,498,476,473,462,371,478,106,406,319,392,247,528,220,349, 7994 410,187,125,428,216,336,130,249,357,453,276,450,169,258, 98,426) 7995 ( 53,455,269, 67,129,252,411,150,139,489, 57,288,165,461,334,227,479, 7996 325,108, 74,443, 63,273,434,352,173, 79,238,379, 71,318,207,372) ] ], 7997[ 2, 163680, 0, "2", [ [ 155, 3 ], [ 62, 1 ] ], 1, "PGammaL(2, 2^5)", 7998 [ "L", [ 2, 32 ], 1 ], 7999 [ ( 1,514,161, 17,441)( 2,266,201,216,302)( 3,160,498,138,185) 8000 ( 4,149, 80,448,375)( 5, 66,106,444,192)( 6,386,267, 86,433) 8001 ( 7,464,147, 58,173)( 8,458,141,513,358)( 9,503,176,432,229) 8002 ( 10,243,245,247,118)( 11,157,423,437,416)( 12, 63,145, 68,490) 8003 ( 13,210,125,241,184)( 14,278, 83,351,379)( 15,364,177, 49,387) 8004 ( 16, 98,327,419,153)( 18, 42,378,473,296)( 19,512,331,366,211) 8005 ( 20,525,320,166, 89)( 21, 85,493,402, 34)( 22,136,107, 67,313) 8006 ( 23,522,289,312,435)( 24,244,233,393,461)( 26, 60, 73,168,119) 8007 ( 27,376,478, 57, 43)( 28,429,221, 99,294)( 29,345,401,170,190) 8008 ( 30,489,207,116,372)( 31,476, 35,213,232)( 32,388,334,389,447) 8009 ( 33, 47, 82,397,436)( 36,303,249,406,310)( 37,223,488,298,415) 8010 ( 38,414, 52, 77,479)( 39,248, 74,143,200)( 40,347,172, 94,467) 8011 ( 41,359,383,443,134)( 44, 48,335,329,144)( 45,257,524,495,395) 8012 ( 46,109,373,288,481)( 50,348,391,483,518)( 51,405,275,506,126) 8013 ( 53,517,450,226, 70)( 54,150, 87,174,527)( 55,344,382,286,105) 8014 ( 56,318, 96,273,528)( 59,198,480,180,301)( 61,104,239,470,317) 8015 ( 62,297,263,321,501)( 64,471,396,434,353)( 65,508,475,238,140) 8016 ( 69,276,165,400,338)( 71,507,319,428,380)( 72,442,199,413,484) 8017 ( 75,264,362,425,486)( 76,361,492, 91,287)( 78,398,284,282,181) 8018 ( 79,323,254,409,491)( 81,504,290,502,367)( 84,466,333,114,336) 8019 ( 88,283,268,465,179)( 90,427,311,339, 92)( 93,341,421,291,203) 8020 ( 95,100,477,102,122)( 97,300,309,265,390)(101,445,496,156,224) 8021 (103,250,162,236,315)(108,352,209,274,234)(110,227,516,295,230) 8022 (111,377,314,399,420)(112,151,509,228,159)(113,370,218,171,520) 8023 (115,346,411,510,381)(117,271,214,225,354)(120,121,497,164,384) 8024 (123,408,523,146,505)(124,279,385,128,195)(127,453,499,418,469) 8025 (129,281,324,251,342)(130,132,455,237,231)(131,368,270,189,220) 8026 (133,155,322,305,511)(135,487,357,242,355)(137,374,326,337,186) 8027 (139,456,219,212,193)(142,183,308,494,328)(148,365,463,431,202) 8028 (152,205,222,392,158)(154,256,430,412,460)(163,206,459,191,439) 8029 (167,519,285,255,449)(169,330,462,246,424)(175,293,350,304,515) 8030 (178,422,526,426,262)(182,252,349,259,272)(187,360,196,468,260) 8031 (188,307,204,369,404)(194,410,253,269,457)(197,280,403,208,472) 8032 (215,292,299,407,371)(217,343,316,363,454)(235,261,277,438,482) 8033 (240,500,325,258,332)(306,440,417,356,340)(446,451,521,485,474), 8034 ( 1,135,383,277, 28,325,189,328,194,455)( 2, 38,204,111,163,378,240, 8035 134, 15, 88)( 3,268,256, 32,426,103,257,431,300,253) 8036 ( 4, 84, 50,477,160,417,327,197, 74,107)( 5, 69,298,428,291,348,434, 8037 49,389,254)( 6,306, 16,127,267,290,281, 42,236,162)( 7,133,289,174, 8038 56,216,152,475,502,234)( 8,137,483,437,219)( 9,255,397,424,345,113, 8039 86,213,299, 60)( 10,338,225,423, 95,287,115,528, 19,278) 8040 ( 11, 91, 71,472,460, 85,406,518,320,452)( 12,123,222,401,353,321,448, 8041 507,190,335)( 13,303,285, 46,524,421,374,262, 61,312) 8042 ( 14,110,407,390,412,147,280,198,196,381)( 17,121, 77,444,385,187,150, 8043 155,116,370)( 18,404, 98,195,229, 57,486,104,399,146) 8044 ( 20,322,368,241,191,432,425,521,342,355)( 21,474,122,273,402,380, 54, 8045 136,525,386)( 22,332,117,296,492,149,106,202,274,336) 8046 ( 23,480,318,367,221,212,205, 26,371,523)( 24,514,442,509,457,188,484, 8047 415,206,488)( 25,178,193,165, 83,168,344,481,517,275) 8048 ( 27, 93,250,493, 29,239,309,331,139,357)( 30,485,501,217,461,391,324, 8049 456,235,384)( 31, 76, 40,489,101,394,131,494,286,169) 8050 ( 33,237,361,233,140,377, 75,177, 96,297)( 34,171,158,159,118,356,226, 8051 232,138,379)( 35,340,129,307, 78,179, 51,248, 62,343) 8052 ( 36,522,450,161,473,346,313,330,487,337)( 37,305,184, 92,199,504,265, 8053 498,308,210)( 39,243,449, 41,231, 72,215,347,144,350) 8054 ( 43, 90,207, 82,429,405,376,351,440,317)( 44,441,422,467,372,293,339, 8055 48,476,261)( 45,451,459,447,264, 73,395,462,418,468)( 47, 53, 68,185, 8056 242,427,218,269,153,295)( 52,203,220,288,311,511,114,252,154,458) 8057 ( 55, 63,526,157,141, 87,510,209,392,471)( 58,446,181,176,316,497,166, 8058 478, 70,527)( 59,414,319,182,270,463, 80,276, 99,326) 8059 ( 64,465,301,128,366,420,245,364,454,151)( 65,354,186, 94,334) 8060 ( 66,247,228,362,400,516,360,251,315,499)( 67,496,323,413,396,238,430, 8061 143,373,148)( 79,469,272, 97,411,464,503,108,491,513) 8062 ( 81,263,183,365,109,164,438,246,445,100)( 89,403,466,515,271,419,363, 8063 341,244,112)(102,302,227,520,310,145,294,125,482,436) 8064 (105,124,479,490,359)(119,230,260,211,410,249,409,416,435,333) 8065 (120,369,512,508,266,382,292,470,443,393)(126,132,453,192,506,398,224, 8066 223,358,349)(130,172,167,258,284,173,200,314,175,142) 8067 (156,433,282,180,279,519,439,259,352,283)(170,388,375,329,214,500,495, 8068 387,505,201)(208,304) ] ], 8069[ 3, 24815256521932800, 1, "2", [ [ 527, 1 ] ], 2, "PSp(10, 2)", 8070 [ "B", [ 5, 2 ], 1 ], 8071 [ ( 2, 4)( 5, 7)( 6, 9)( 11, 17)( 13, 20)( 15, 23)( 16, 25)( 18, 28) 8072 ( 21, 33)( 24, 37)( 29, 45)( 32, 49)( 38, 57)( 39, 59)( 41, 61) 8073 ( 46, 67)( 47, 69)( 48, 71)( 52, 76)( 54, 79)( 58, 84)( 60, 87) 8074 ( 62, 91)( 64, 94)( 68,100)( 80,112)( 81,114)( 85,120)( 90,124) 8075 ( 92,128)( 95,115)( 96,134)( 97,125)(101,136)(102,140)(103,141) 8076 (104,143)(105,144)(107,146)(108,147)(110,149)(113,154)(116,150) 8077 (117,159)(122,165)(123,167)(129,176)(132,178)(137,179)(138,186) 8078 (142,193)(145,198)(151,206)(155,212)(156,213)(161,214)(163,220) 8079 (164,222)(166,225)(168,229)(172,234)(181,245)(182,246)(183,218) 8080 (185,236)(187,252)(188,247)(197,263)(207,272)(209,258)(216,282) 8081 (217,284)(219,283)(221,255)(228,289)(238,290)(239,302)(248,313) 8082 (249,314)(254,318)(257,321)(260,323)(261,324)(262,326)(264,329) 8083 (265,330)(266,291)(270,335)(275,336)(278,343)(285,353)(288,356) 8084 (293,361)(294,362)(296,334)(297,364)(304,305)(317,380)(320,383) 8085 (322,386)(325,390)(327,371)(333,396)(338,401)(342,347)(358,413) 8086 (359,415)(363,420)(365,402)(366,423)(369,416)(372,426)(373,406) 8087 (375,414)(378,430)(379,427)(385,436)(388,432)(392,442)(394,444) 8088 (397,447)(399,449)(407,454)(410,435)(412,448)(418,459)(425,466) 8089 (428,469)(431,472)(439,461)(440,476)(450,483)(453,486)(463,494) 8090 (488,508)(511,516), ( 1, 2, 5, 8, 13, 21, 16, 10, 6, 4, 3) 8091 ( 7, 11, 18, 29, 46, 68, 70, 47, 30, 19, 12)( 9, 14, 22, 34, 52, 77, 8092 85, 58, 38, 24, 15)( 17, 26, 41, 62, 92,129,130, 93, 63, 42, 27) 8093 ( 20, 31, 48, 72,105, 88, 60, 40, 25, 39, 32)( 23, 35, 53, 78,109,148, 8094 155,113, 80, 54, 36)( 28, 43, 64, 95,133,180,164,121, 86, 59, 44) 8095 ( 33, 50, 74,107, 76,108,102, 69,101, 75, 51)( 37, 55, 49, 73,106,145, 8096 199,158,115, 81, 56)( 45, 65, 96,135,183,248,249,184,136, 97, 66) 8097 ( 57, 82,116,146,200,265,285,218,160,117, 83)( 61, 89,123,168,230,293, 8098 296,233,171,125, 90)( 67, 98,119, 84,118,161,197,144,185,137, 99) 8099 ( 71,103,142,194,260,288,226,166,122, 87,104)( 79,110,150,205,269,334, 8100 338,273,207,151,111)( 91,126,172,235,298,365,366,299,236,173,127) 8101 ( 94,131,177,241,305,297,234,225,244,179,132)(100,138,187,253,224,165, 8102 223,264,198,188,139)(112,152,208,263,328,394,402,339,274,209,153) 8103 (114,156,214,259,193,258,322,347,281,215,157)(120,162,219,222,257,192, 8104 141,191,256,221,163)(124,169,231,294,363,412,357,289,295,232,170) 8105 (128,174,237,300,367,326,392,329,301,238,175)(134,181,217,159,216,283, 8106 350,375,312,247,182)(140,189,254,319,382,433,435,384,320,255,190) 8107 (143,195,261,325,391,441,443,393,327,262,196)(147,201,252,317,381,432, 8108 445,395,331,266,202)(149,203,267,332,335,398,448,397,333,268,204) 8109 (154,210,275,340,321,385,324,389,341,276,211)(167,227,271,206,270,336, 8110 399,414,358,290,228)(176,239,303,355,287,220,286,354,369,304,240) 8111 (178,242,306,370,424,465,467,425,371,307,243)(186,250,315,344,278,212, 8112 277,342,379,316,251)(213,279,345,390,440,477,485,452,404,346,280) 8113 (229,291,359,330,352,284,351,407,416,360,292)(245,308,314,378,318,272, 8114 337,400,427,372,309)(246,310,373,428,454,487,492,460,420,374,311) 8115 (282,348,405,447,481,497,468,426,453,406,349)(302,343,403,411,356,410, 8116 439,388,323,387,368)(313,376,429,380,431,383,434,409,353,408,377) 8117 (361,417,458,490,472,500,484,451,401,450,418)(362,419,449,482,508,511, 8118 488,455,413,446,396)(364,421,461,438,386,437,475,503,493,462,422) 8119 (415,456,489,469,498,515,522,517,509,483,457)(423,463,444,480,507,504, 8120 476,466,496,495,464)(430,470,459,491,512,519,518,510,486,499,471) 8121 (436,473,501,506,479,442,478,505,516,502,474)(494,513,520,523,525,527, 8122 528,526,524,521,514) ] ], 8123[ 4, 25015379558400, 1, "2", [ [ 255, 1 ], [ 272, 1 ] ], 1, "O-(10, 2)", 8124 [ "2D", [ 5, 2 ], 1 ], 8125 [ ( 1,450,274,395,191, 32,228,488,132,454,345,248,414,335,213, 72,101,374, 8126 418,276,306,519,381,364,452,471, 55, 58,420,293,308, 26,494) 8127 ( 2,357,221,382,240,329,523, 34,236,517,238, 77,358,391,137,472, 86, 8128 286, 74,524,231,344,142,332,177,430, 27,383,405,225,398,224,479) 8129 ( 3,312,130,272,324, 13, 76,485,379,280,135,143,131,415,396,401,151, 8130 365,313,439,492, 62,445,264, 10,422, 81,352, 99,215,278,126,480) 8131 ( 4,442,421,314,196,294,301,443,193, 61, 89, 51, 24,483,211, 64,487, 8132 413,429,162, 6,140, 39,331,407,220,214, 47, 36,124,528,186, 69) 8133 ( 5,389,292,198,397, 14,122,412, 63,440,263,116,370,507,310,371,176, 8134 424,298,118,268, 98, 23,513,399,339,237,380,343,297,138,390, 35) 8135 ( 7,449,205,408,249,120,495,349,315,459,387, 87,388,378, 42,437,199, 8136 20,222,212,522,113,321,110, 12,165, 65,351, 84,234,521,160,250) 8137 ( 8,328,246,206,481,359,277,190,283,117,245, 38,194,419,362, 37,189, 8138 90,105,164, 75,167,316, 78,303,104,319,144,473,486, 57,446,465) 8139 ( 9,467,347,139,156, 16,346,333,406,504, 88,171, 17,497,461,159,258, 8140 296,403,505,375,320,265, 97,353,125,402, 60,341,233,223,366,111) 8141 ( 11,109,150,340,305,255,229,136, 18,178,252,182,172,201,373,490,425, 8142 503, 92, 93,123,112,489,474,400,409,155,244,300,508,288,478, 19) 8143 ( 15, 71,451,458,447,502,456,106, 82,526,161,129,299,377,514,436,270, 8144 188,163,355,363, 59,417,260, 33,174, 95,227,360,393,273, 45,410) 8145 ( 21,354,207,282,254,444,498,285,460,484,253,431,259,146, 73,257,350, 8146 173,512,197,218,103,463, 70,169,464,466,187,216,291,251,327,175) 8147 ( 22, 53,500,392,455,281,404,239,284,309,426,475, 85,157,287,107,368, 8148 468,416,501, 56,338,108,210,208,348, 67,102,115, 25,511,119,453) 8149 ( 28, 52,376, 48,183,325, 44,302,509,243, 29,133,145,148,217,476,457, 8150 428,318,337,304,121, 49, 94,195,219, 30,153,432,235,269,477,491) 8151 ( 31, 41,262, 80, 83,317,427,114,372,179, 40,434, 54,154,128,271,289, 8152 46, 66,433,202,326,361,158,168,261,336,411,192,423,203,322,185) 8153 ( 43,323,367,141,482,469, 96,394,226,438,181,242,184,134,166,232,384, 8154 525,295,290,441,448,247,147,204,256,230,462, 79,506,435,241,520) 8155 ( 50,180,515,342,127,385,496,149,266,518,279,170,209,516,307,267,200, 8156 470,311,100,386,330, 68,499,369,152,356, 91,527,493,334,510,275), 8157 ( 1,375,197,233,372,172, 73,482,132,356,256,511,161,423,329,194,311, 8158 201, 37,433,450)( 2,495,363,104,406,464,163,526,513, 5,392,142, 8, 8159 55,365, 84, 44,446,200,497,488)( 3,347, 47,483,328, 93,500,281, 62, 8160 97,143,215,337, 76,137, 29,336,204, 94, 7,428)( 4,313,506, 40,213, 8161 106,439)( 6,190,269,115, 13, 72,468,320,229,493,510,174,401,520, 65, 8162 361,169,148,319,351,144)( 9,333,407, 64,327,466,246, 43,214,461,180, 8163 278,496,270,218,100,102,122,119,430,179)( 10,314,123,362,454,486,186) 8164 ( 11,477,110,109,153, 23,236,418,459,321,514,254,416, 39,324,434,207, 8165 465,367, 91,271)( 12,149,199,167,524,443,325,463,494,184, 59, 14,479, 8166 125,253, 54,393,481, 95,431,527)( 15,168,370,380,332, 16,368,262,249, 8167 377, 17,117,383,457, 88,523, 33,315,133,341,397)( 18,292, 82,255,445, 8168 296,286,267,206, 58,394,470, 34, 61,411,391,295,274,108,248, 35) 8169 ( 19,371, 96,388,303,222,252, 42,188,116,289,490,273,518,359,382,442, 8170 251,264,130,448)( 20,339,451)( 21, 36,301,429, 50,164,112) 8171 ( 22,105,280,338,196,300,438,237,441,484,283,166, 53,516,134,160,354, 8172 502,228,241,243)( 24, 77,121, 57,183,239,358,157, 79,412,202,120, 45, 8173 107,216,498,114,131,489,173,221)( 25,217, 38,326,159, 27,220,208,288, 8174 491,485,340,238,111,223, 41,364,138,440,387, 98)( 26, 80, 87,156,139, 8175 49, 83,381,175,519,462,456,177,521,517,472,127,342,475,348,447) 8176 ( 28,266,476,285,309,409,250)( 30,129,219,126, 63, 99,360,147,405,460, 8177 171,145,331,421,293,211,509,435,366,385,257)( 31,146,432,235,453,344, 8178 469,210,158,525,355,312,261,330,369,317,505,452, 71,205, 69) 8179 ( 32,507,209,195,395,512,198,244, 75,400,189,279,185,310,349,455,420, 8180 46,390, 78,389)( 48, 60,291,379,135,373,124,345,306,118,226,298,275, 8181 113,449,232,308,247,282,152,103)( 51,334, 89,386, 56,258,474,294,150, 8182 402,408,259,225,501,176,343,471,192,290,231,151)( 52,187,178,140,277, 8183 287,403)( 66,203,141,478,272,427,404)( 67,101,284,304,528,323,374) 8184 ( 68,353,515,136,504, 90,426)( 70,378,414,508,260, 74,350) 8185 ( 81, 86,357,212,162,352,170)( 85,480,444,316,424,245,128) 8186 ( 92,193,503,307,297,467,302)(154,417,487,242,413,191,268) 8187 (155,263,396,437,522,399,224)(165,322,234,230,276,436,410) 8188 (181,422,419,473,182,240,265)(227,305,299)(318,415,425) 8189 (335,499,458,346,384,492,398) ] ], 8190[ 5, 50030759116800, 0, "2", [ [ 255, 1 ], [ 272, 1 ] ], 1, "PSO-(10, 2)", 8191 [ "2D", [ 5, 2 ], 1 ], 8192 [ ( 1,367,115,151,155,140,268,456,230,423,460, 84,495,457,407,197,442,335, 8193 437, 22,386,334,241,441,138,505,126,284,174,403, 5,277,435,221,145) 8194 ( 2,170,329,165,324, 97,489,281,438,111,124,156,275,370,286, 82,475, 8195 425, 88,382,353,182,261,469,472,444,307, 61,184,379,515,110, 20,204, 8196 137)( 3,374,213,132,344,163,195)( 4,260,238,276,528,192,242,343, 8197 308,327,499,474, 53,147,520,289, 60, 14,333,212,488,461,305,399,434, 8198 219,397,257,396, 25,164,159,479,356, 34)( 6,298, 45,252, 46,108,131, 8199 13,171,388,411,194,112,288,220,429,118,394, 56,383,122,482,134,316, 8200 492,234,496,410, 74,432,292,187,229,168, 62)( 7, 72, 85,210,487,103, 8201 225,341, 23,273,173, 8, 80,345,523,253,501,291, 67,141,336,440,339, 8202 443,227,169, 43,188, 95,342,485,256,502,522,129)( 9,404,415, 49,280, 8203 504,358,413,222,321,315,361,428,476,521,478, 90, 29,290,109,237,113, 8204 100, 83,217, 54,357,282,207,431,309,331,203,498, 10)( 11,467,251, 76, 8205 318,373,430)( 12,312,462,262,125)( 15,414,507,359,244,248,148,453, 8206 303, 73,200,360,216,519,351, 64,322,180,279,389, 75, 66,142,121,380, 8207 24, 28, 94,446, 99,215, 41,296,364,160)( 16, 50, 59,363,512,283,201, 8208 454,371, 51,133,231,465,480,471,152,378,510,486,503,362,337,405,226, 8209 328,245,269, 31,466,381,205,508, 48,500, 37)( 17,266,272, 38, 30,450, 8210 224,202, 87,304,310,314,352,325,347,105,348,193,395,436,463, 40,117, 8211 490,128,349,116,418, 42, 44,385,179, 55,412,451)( 18,455, 47, 68,299, 8212 172,166,350,127,211,426,206,340,143,448,114,483,497,236,136,185,400, 8213 419,196, 79,223,459,417,243, 96, 26,297,239,445,449)( 19,313,323,511, 8214 295,250,524,264,468,107,208,481,162,433,287,330,513,271,516,494,402, 8215 177,146,106,233,209,484,477,406,102,473,178,176,302,154) 8216 ( 21,346,191,158,369, 33, 89,326,123,270, 69, 39,365,161,130,186,157, 8217 319,391,183,470,265,366,390,139,372,393, 93,439,254,491,320,181,452, 8218 249)( 27,355,267,384,285,416,228,235,306,294,150,458, 71,258,199,301, 8219 420,317,218,527,376,278,119,274, 65,447,392, 78,409,377, 52,144, 92, 8220 81,517)( 32,149, 35,514,153,398,255,293,240,120,464,368,189,518,421, 8221 190,232,427,300,259, 58,198,375,387, 77, 63,424,247,246, 36,526,493, 8222 263,354,167)( 57,422,338,525,101,509,175)( 70,104,506,401, 91) 8223 ( 86,311, 98,408,332,214,135), 8224 ( 1,166,339,326, 2,306,292,282, 6,293,273, 97,490,327,348,456, 50, 8225 342,528,119,184,233, 10,102,421, 85, 78,380,365,272)( 3,514, 22,407, 8226 268, 23, 32, 7,214, 86,164,256,334,114,382)( 4, 30,498, 19,424,439, 8227 172,518,237,175,423, 63,376,251, 33)( 5,188,275,341,108,201,519,227, 8228 159,328,266,454,231,388,381,115,129,307,523,154,206,450,291, 89,419, 8229 117,466,483,316,417)( 8,243,186, 65, 54,420,499,525,248,149,211,264, 8230 185,373,451)( 9,509,173,219,488,355,445,192,178,127,240, 68,501,367, 8231 180)( 11,315,344,169,230,472,135, 96,155,294,207,208,311,442,332) 8232 ( 12,503,385, 37,125,429, 70,280,405,411, 99,314,226,486,317,104,497, 8233 359,239,401,107, 91,203,371,295, 42, 55, 59, 48,515)( 13, 29,512,281, 8234 431,165,325,510,400,269,310,495, 14,284, 46,468,217, 47,182,100,218, 8235 351,363,378,297,279,140,276,386, 56)( 15,354,183,232,162, 83, 72,101, 8236 377,103,458,190,422,324,137)( 16,262,123,478,139,347,278,448,436, 24, 8237 481, 27,215,144,196)( 17,202,433,393,193,494,489,258,244,427,394,389, 8238 121,410,444,303, 40,112, 60,179,234, 61,204, 38, 77,516,395,105,406, 8239 71)( 18,255,132,299,283,210,223,361,145,176,330, 98,392,138,336) 8240 ( 20,383,479,475,247,274,480,356,141,343, 74, 93, 81,349,463,156,168, 8241 333,329,167,438, 31, 53, 80,396,220,434, 88,364,446)( 21, 43,440,313, 8242 236, 26,522,304,163, 41, 57,312, 58,449,221)( 25,181) 8243 ( 28, 84,416,289,414,372,402,113,150,513,426, 69, 90,187,369) 8244 ( 34,147,459,465,425,197,320,260,409,435,189,521,340,171,397,191,257, 8245 337,500,110,241,461, 39,370,505,259,413,471,432,346)( 35,252,415,229, 8246 308,335,153, 51,106,116,319,353,428,469,160,120,492,321,302,305,460, 8247 263,350,134,352,520,235,109,384,412)( 36,366,122,508,224,267,399,124, 8248 87,157,288,261,474,511,487,375,212,287,455,418, 82,238, 92, 73,242, 8249 62,170,265, 45,502)( 44,286,177,476, 64,482,452,443,507,404,467,453, 8250 152,464,345)( 49, 75,430,199,408,296,213,504,318,128,441,209,151,250, 8251 496)( 52,198,285,517,158,477,470,398,174,379,331,254,301,270,271) 8252 ( 66,358,524,246,360,253,249, 76,322,118,527,146,130,131, 67) 8253 ( 79,387,126,362,298,323,290,133,357,136, 94,447,338,390,111) 8254 ( 95,391,309,300,437,457,368,195,473,245,491,222,526,225,403) 8255 (142,277,374,493,194,216,228,485,205,506,148,200,161,143,484) ] ], 8256[ 6, 4341658809405943247759097200640000000, 1, "2", [ [ 465, 1 ], [ 62, 1 ] ], 8257 1, "Alt(33)", [ "A", 33, 1 ], 8258 [ ( 2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155, 8259 173,192,212,233,255,278,302,327,353,380,408,437,467)( 4, 7, 11, 16, 8260 22, 29, 37, 46, 56, 67, 79, 92,106,121,137,154,172,191,211,232,254, 8261 277,301,326,352,379,407,436,466,497,528)( 6, 10, 15, 21, 28, 36, 45, 8262 55, 66, 78, 91,105,120,136,153,171,190,210,231,253,276,300,325,351, 8263 378,406,435,465,496,527,498)( 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 8264 104,119,135,152,170,189,209,230,252,275,299,324,350,377,405,434,464, 8265 495,526,468,499)( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,134,151, 8266 169,188,208,229,251,274,298,323,349,376,404,433,463,494,525,438,469, 8267 500)( 18, 25, 33, 42, 52, 63, 75, 88,102,117,133,150,168,187,207,228, 8268 250,273,297,322,348,375,403,432,462,493,524,409,439,470,501) 8269 ( 24, 32, 41, 51, 62, 74, 87,101,116,132,149,167,186,206,227,249,272, 8270 296,321,347,374,402,431,461,492,523,381,410,440,471,502) 8271 ( 31, 40, 50, 61, 73, 86,100,115,131,148,166,185,205,226,248,271,295, 8272 320,346,373,401,430,460,491,522,354,382,411,441,472,503) 8273 ( 39, 49, 60, 72, 85, 99,114,130,147,165,184,204,225,247,270,294,319, 8274 345,372,400,429,459,490,521,328,355,383,412,442,473,504) 8275 ( 48, 59, 71, 84, 98,113,129,146,164,183,203,224,246,269,293,318,344, 8276 371,399,428,458,489,520,303,329,356,384,413,443,474,505) 8277 ( 58, 70, 83, 97,112,128,145,163,182,202,223,245,268,292,317,343,370, 8278 398,427,457,488,519,279,304,330,357,385,414,444,475,506) 8279 ( 69, 82, 96,111,127,144,162,181,201,222,244,267,291,316,342,369,397, 8280 426,456,487,518,256,280,305,331,358,386,415,445,476,507) 8281 ( 81, 95,110,126,143,161,180,200,221,243,266,290,315,341,368,396,425, 8282 455,486,517,234,257,281,306,332,359,387,416,446,477,508) 8283 ( 94,109,125,142,160,179,199,220,242,265,289,314,340,367,395,424,454, 8284 485,516,213,235,258,282,307,333,360,388,417,447,478,509) 8285 (108,124,141,159,178,198,219,241,264,288,313,339,366,394,423,453,484, 8286 515,193,214,236,259,283,308,334,361,389,418,448,479,510) 8287 (123,140,158,177,197,218,240,263,287,312,338,365,393,422,452,483,514, 8288 174,194,215,237,260,284,309,335,362,390,419,449,480,511) 8289 (139,157,176,196,217,239,262,286,311,337,364,392,421,451,482,513,156, 8290 175,195,216,238,261,285,310,336,363,391,420,450,481,512), 8291 ( 1, 2, 4)( 3, 6, 7)( 5, 9, 11)( 8, 13, 16)( 12, 18, 22) 8292 ( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)( 38, 48, 56)( 47, 58, 67) 8293 ( 57, 69, 79)( 68, 81, 92)( 80, 94,106)( 93,108,121)(107,123,137) 8294 (122,139,154)(138,156,172)(155,174,191)(173,193,211)(192,213,232) 8295 (212,234,254)(233,256,277)(255,279,301)(278,303,326)(302,328,352) 8296 (327,354,379)(353,381,407)(380,409,436)(408,438,466)(437,468,497) 8297 (467,498,528) ] ], 8298[ 7, 8683317618811886495518194401280000000, 0, "2", [ [ 465, 1 ], [ 62, 1 ] ], 8299 1, "Sym(33)", [ "A", 33, 1 ], 8300 [ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82, 8301 91,101,111,122,133,145,157,170,183,197,211,226,241,257,273) 8302 ( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92, 8303 102,112,123,134,146,158,171,184,198,212,227,242,258,274,291,290) 8304 ( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113, 8305 124,135,147,159,172,185,199,213,228,243,259,275,292,308,307,324) 8306 ( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 94,104,114,125,136, 8307 148,160,173,186,200,214,229,244,260,276,293,309,326,325,341,358) 8308 ( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,161, 8309 174,187,201,215,230,245,261,277,294,310,327,343,342,359,375,392) 8310 ( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,138,150,162,175,188, 8311 202,216,231,246,262,278,295,311,328,344,361,360,376,393,409,426) 8312 ( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,189,203,217, 8313 232,247,263,279,296,312,329,345,362,378,377,394,410,427,443,459) 8314 ( 64, 72, 80, 89, 98,108,118,129,140,152,164,177,190,204,218,233,248, 8315 264,280,297,313,330,346,363,379,396,395,411,428,444,460,473,485) 8316 ( 81, 90, 99,109,119,130,141,153,165,178,191,205,219,234,249,265,281, 8317 298,314,331,347,364,380,397,413,412,429,445,461,474,486,496,505) 8318 (100,110,120,131,142,154,166,179,192,206,220,235,250,266,282,299,315, 8319 332,348,365,381,398,414,431,430,446,462,475,487,497,506,513,519) 8320 (121,132,143,155,167,180,193,207,221,236,251,267,283,300,316,333,349, 8321 366,382,399,415,432,448,447,463,476,488,498,507,514,520,524,527) 8322 (144,156,168,181,194,208,222,237,252,268,284,301,317,334,350,367,383, 8323 400,416,433,449,425,442,458,472,484,495,504,512,518,523,526,528) 8324 (169,182,195,209,223,238,253,269,285,302,318,335,351,368,384,401,417, 8325 434,450,464,391,408,424,441,457,471,483,494,503,511,517,522,525) 8326 (196,210,224,239,254,270,286,303,319,336,352,369,385,402,418,435,451, 8327 465,477,357,374,390,407,423,440,456,470,482,493,502,510,516,521) 8328 (225,240,255,271,287,304,320,337,353,370,386,403,419,436,452,466,478, 8329 489,323,340,356,373,389,406,422,439,455,469,481,492,501,509,515) 8330 (256,272,288,305,321,338,354,371,387,404,420,437,453,467,479,490,499, 8331 289,306,322,339,355,372,388,405,421,438,454,468,480,491,500,508), 8332 ( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81) 8333 ( 90,100)(110,121)(132,144)(156,169)(182,196)(210,225)(240,256) 8334 (272,289)(273,290)(291,307)(306,323)(308,325)(326,342)(340,357) 8335 (343,360)(361,377)(374,391)(378,395)(396,412)(408,425)(413,430) 8336 (431,447)(442,448) ] ], 8337[8, Factorial(528)/2,1,"2",[[527,1]],526, "Alt(528)", ["A",528, 1], "Alt"], 8338[9, Factorial(528),0,"2",[[527, 1]],528, "Sym(528)", ["A",528, 1], "Sym"]]; 8339PRIMGRP[529]:= 8340[[ 1, 208119169843200, 0, "4c", [ [ 44, 1 ], [ 484, 1 ] ], 1, 8341 "M_23 wreath Sym(2)", [ "Spor", "M(23)", 2 ], 8342 [ ( 1, 82,301,364, 15,128,322,226)( 2,358,314,134, 23,220,300, 88) 8343 ( 3,243,307,502)( 4,289,313,180, 22,381,306,203)( 5,335,308,111, 8344 11, 59,309,410)( 6, 36,305, 42)( 7,197,303,295, 14,174,321,387) 8345 ( 8,496,302,249)( 9,105,310, 65, 10,404,304,341)( 12,266,320,525, 8346 16,450,317,479)( 13,312,318, 19)( 17,427,316,433)( 18,473,311,272, 8347 21,519,315,456)( 20,151,319,157)( 24, 75, 25,351, 38,121, 46,213) 8348 ( 26,236, 31,489)( 27,282, 37,167, 45,374, 30,190)( 28,328, 32, 98, 8349 34, 52, 33,397)( 35,259, 44,512, 39,443, 41,466)( 40,420)( 43,144) 8350 ( 47, 79,393,350,337,124,115,218)( 48,355,406,120,345,216, 93, 80) 8351 ( 49,240,399,488,325,239,100,494)( 50,286,405,166,344,377, 99,195) 8352 ( 51,332,400, 97,333, 55,102,402)( 53,194,395,281,336,170,114,379) 8353 ( 54,493,394,235,330,492, 95,241)( 56,401,396,327,331,101,103, 57) 8354 ( 58,263,412,511,338,446,110,471)( 60,171,413,373,329,193, 96,287) 8355 ( 61,125,414,212,323, 78, 94,356)( 62,447,409,465,334,262,113,517) 8356 ( 63,424,408,419,339,423,109,425)( 64,470,403,258,343,515,108,448) 8357 ( 66,148,411,143,342,147,112,149)( 67,516,407,442,340,469,104,264) 8358 ( 68,378,398,189,326,285,106,172)( 69,217,392, 74,324,354,107,126) 8359 ( 70, 71,347,360,130,138,230,208)( 72,232,353,498,118,253,215,484) 8360 ( 73,278,359,176,137,391,214,185)( 76,186,349,291,129,184,229,369) 8361 ( 77,485,348,245,123,506,210,231)( 81,255,366,521,131,460,225,461) 8362 ( 83,163,367,383,122,207,211,277)( 84,117,368,222,116, 92,209,346) 8363 ( 85,439,363,475,127,276,228,507)( 86,416,362,429,132,437,224,415) 8364 ( 87,462,357,268,136,529,223,438)( 89,140,365,153,135,161,227,139) 8365 ( 90,508,361,452,133,483,219,254)( 91,370,352,199,119,299,221,162) 8366 (141,250,146,503)(142,296,152,181,160,388,145,204)(150,273,159,526, 8367 154,457,156,480)(155,434)(164,252,376,490,187,234,284,497) 8368 (165,298,382,168,206,372,283,198)(169,505,371,237,192,487,279,244) 8369 (173,275,389,513,200,441,294,474)(175,183,390,375,191,188,280,290) 8370 (177,459,386,467,196,257,297,520)(178,436,385,421,201,418,293,428) 8371 (179,482,380,260,205,510,292,451)(182,528,384,444,202,464,288,267) 8372 (233,238,491,486)(242,261,504,509,246,445,501,463)(247,422,500,417) 8373 (248,468,495,256,251,514,499,440)(265,274,527,522,453,455,478,472) 8374 (269,458,524,476,449,271,481,518)(270,435,523,430,454,432,477,426), 8375 ( 1,349, 69,457,196,435,386,509,266,121,339,313,238,493,208,347,184, 8376 446,403,419,294,513, 36,126,109,314,468,499)( 2,165, 55,411,189,297, 8377 375, 26,264, 98,337,474,246, 10,211, 48,181,193,412,373,279,260, 29, 8378 333,106,245,470,223)( 3,257, 52,342,198,251,378,210,255,167,331,405, 8379 235,286,214, 25,172,101,406,465,292, 7, 27, 57,112,199,481,384) 8380 ( 4, 50, 66,204,205,389,371,256,259,328,336,244,240,217,209,163,170, 8381 400,396,281,283, 30, 34,103,107,475,476, 16)( 5,280, 53, 43,195,113, 8382 383,463,269, 6,326, 60,250,194,228,370,164,262,397,327,290,237, 33, 8383 218, 94,176,469,407)( 8,487, 47,365,207,458,380,417,271,512,335,129, 8384 247,309,215,485,162,354,414,442,288,421, 41,517,105,130,477,315) 8385 ( 9,395, 51,296,191, 44,379, 95,268,466,338, 14,234, 56,227,186,182, 8386 377,394,258,282,329, 37,241,102,222,462,177)( 11, 96, 61,480,200, 21, 8387 372, 49,273,190,343,382,233,263,213,324,175,239,401,212,278,168, 32, 8388 402, 97,291,467, 39)( 12,418, 64,526,197,136,385,302,261,489,323,359, 8389 253,447,219,416,179,515,404,120,293,306, 31,494, 93,360,483,453) 8390 ( 13,119, 63,319,192,504,369,348,276,443,334,428,248,516,220,117,178, 8391 308,399,488,277,352, 46,448,104,429,478,522)( 15,464, 62, 20,188, 67, 8392 388,187,274,374,325,267,236,332,221,232,171,216,393,166,285,398, 28, 8393 287, 99, 38,471,108)( 17,303, 54,503,185,366,391,440,265,420,340,520, 8394 243,125,224,301,169,492,392,350,299,444, 35,425,110,521,473,131) 8395 ( 18,510, 59,135,201,320,376,486,254,351,345,451,242,424,225,508,174, 8396 124,408,304,284,490, 24,356,115,452,472,430)( 19,142, 68, 89,203,159, 8397 390, 72,272,144,344, 83,249,148,229, 71,180,147,413, 74,295,145, 45, 8398 80,111,153,482, 85)( 22, 73, 65,158,206, 90,387,141,275, 75,341,152, 8399 252, 79,226,140,183, 78,410,143,298, 76, 42,149,114, 84,479,154) 8400 ( 23,441, 58,434,202,527,381,118,270,305,330,497,231,355,230,439,173, 8401 423,409,511,289,122, 40,310,100,498,461,361)( 70,364,161,459, 81,433, 8402 156,528, 82,134,155,321, 77,502,139,367, 92,456,150,436, 87,525,151, 8403 137, 86,318,146,505)( 88,157,160, 91)(116,362,322,445,495,415,363, 8404 529,450,127,431,317,514,496)(123,500,300,353,506,438,357,437,455,518, 8405 427,133,523,312)(128,132,316,307,491,484,346,368,460,449,426,432,524, 8406 519)(138,454,311,422,501,507,358) ] ], 8407[ 2, 334163384733794511232410592146672844800000000, 0, "4c", 8408 [ [ 44, 1 ], [ 484, 1 ] ], 1, "Alt(23) wreath Sym(2)", [ "A", 23, 2 ], 8409 [ ( 1,205,365,230,234,341,520,462,492, 11,113,360,184,237, 65,507,186,503, 8410 218, 96,337,175,467, 55)( 2,504,356,115,245,180,513, 48,484,195,112, 8411 222,165,329, 60,461,193, 20,228,349,345,244,479,515)( 3,412,363, 46, 8412 235,318,522,416,491,149, 98,268,173,122, 59, 70,194,457,224,280,325, 8413 405,478, 32, 5,320,361,437,238,157,512,255,495,126,105, 84,171,444, 8414 63,277,187,411,225, 27,327,313,476,423, 8,159,351,276,242,134,519, 8415 71,493,448,109,291,164,398, 64, 24,189,319,223,418,330,152,466,262, 8416 12,136,358, 92,240,456,523,278,486,402,110, 38,166,306, 62,415,192, 8417 158,213,257,334,129,473, 78, 10,458,362,299,233,410,524, 25,488,310, 8418 108,429,169,145, 52,254,196,135,220, 73,332,451,477,285) 8419 ( 4,343,359,483,239, 19,527,347,506,241,111,521,163,490, 57, 93,199, 8420 181,214, 50,323,198,480,216)( 6,274,357,138,243, 88,516,439,500,287, 8421 95,406,179, 30, 51,300,200,434,215,142,328,267,472,124, 13, 90,355, 8422 460,247,295,509,393,501, 34, 97,314,177,421, 54,139,190,273,219,119, 8423 335, 83,470,446, 17,297,348,414,248, 42,511,301,499,425,100,153,167, 8424 260, 58,116,197, 89,217,441,339,290,463,400, 18, 44,350,322,246,433, 8425 514,140,489,264,104,130,174, 76, 56,438,201,296,210,395,340, 37,465, 8426 308, 16,435,353,161,236,272,518,117,496, 80,102,452,178,283, 49,392, 8427 202, 43,212,303,338,428,468,147)( 7, 67,346,207,250,226,510,324,497, 8428 471,101, 15,182,352, 69,231,203,526,209,487,333,106,475,170) 8429 ( 9, 21,366,368,253,249,525,508,485,494,103,107,176,168, 53, 47,185, 8430 204,227,211,326,336,474,469)( 14,481,354, 23,251,364,529,232,502,517, 8431 94,498,172, 99, 61,162,191, 66,208,188,342,221,464,331) 8432 ( 22,389,367,391,252,387,528,370,505,379,114,383,183,375, 68,369,206, 8433 388,229,372,344,382,482,377)( 26,396,317, 39,419,307,154,420,261,150, 8434 121,266, 81,125,450, 86,286,440,408,294)( 28,304,315,430,422,146,144, 8435 259,265,127,128, 82, 79,447,454,293,279,394,409, 41)( 29,258,311,131, 8436 427, 77,148,443,270,288,118,404, 87, 33,442,316,292,417,399,156) 8437 ( 31,143,305,269,426,123,151, 75,263,449,132,289, 72,401,455, 40,281, 8438 302,407,432)( 35,120,312, 85,424,445,155,282,256,403,133, 36, 74,309, 8439 453,431,284,141,397,271)( 45,373,321,384,436,376,160,374,275,380,137, 8440 381, 91,378,459,385,298,371,413,386), 8441 ( 1,207,252,389,346,186,505,381, 70,196,137,384,415,194,413,388,438, 8442 203,528,373,300,202, 45,375, 47,188,344,382,461,195,114,385,277,187, 8443 229,374,254,199,183,377)( 2,506,243, 90,357,117,499,427, 79,403,135, 8444 453,433,516,396,319,455, 42,513, 51,303,340, 37,467, 57, 96,339,290, 8445 463,218, 98,270,291,164,216, 6,276,245,182,354)( 3,230,236,274,360, 8446 163,492, 13, 92,242,136,361,416,493,404, 89,449,134,522,419,309,409, 8447 43,444, 65,510,327,313,478, 34, 99, 63,280,325,221,466,264,107,178, 8448 285)( 4,345,244,481,356, 94,500,289, 72,219,121,269,429,171,400, 20, 8449 460,249,527,350,301,501, 36, 76, 58,119,338,428,470,402,112,454,295, 8450 509,212,305,271, 38,168, 55)( 5,322,248, 44,352, 48,487,335, 83,472, 8451 126,108,431,286,394,227,443,272,521,166,308, 18, 46,237, 67,349,324, 8452 497,473, 80,104,132,292,417,217,397,273,452,180,515)( 7, 69,234,343, 8453 359,462,494,105, 86,288,118,223,420,263,406,181,446, 19,529,235,320, 8454 363, 25,490, 59, 73,334,129,476,425,102,408,296,440,226,512,258,314, 8455 179, 32)( 8,161,238,159,353,140,491,151, 77,150,123,154,422,148,399, 8456 158,445,157,514,143,307,156, 31,145, 54,142,330,152,468,149,100,155, 8457 284,141,215,144,261,153,169,147)( 9, 23,253,251,366,347,485,496, 82, 8458 81,127,131,430,424,401,411,457,456,525,511,304,317, 41, 30, 53, 50, 8459 326,336,474,471,103,109,293,279,210,213,259,268,176,170) 8460 ( 10,414,250,458,364,508,488,312, 87, 35,122, 62,418,332,405,480,448, 8461 111,523,281,302,225, 29,260, 61,165,331, 14,483,241,113,362,278,486, 8462 220, 75,265,130,177,423)( 11,115,247,297,348,209,489,266, 84,173,124, 8463 16,437,240,412,365,439,502,519, 74,311,133, 39,421, 56,395,342,451, 8464 479,517, 97,316,294, 26,214, 52,257,337,175,469)( 12,138,246,435,355, 8465 393,503,450, 88,518,120,315,432, 33,398, 66,441,341,520,465,310,110, 8466 40,283, 49,211,328,267,475,172,101, 17,299,233,228,351,255,498,174, 8467 78)( 15,184,239, 21,368,232,504,358, 71,495,128, 85,426,125,407,434, 8468 447,410,526,442,318,524, 28,306, 64, 27,329, 60,464,333,106,477,287, 8469 95,224,282,256,222,167,262)( 22,391,231,205,367,370,484,197, 91,380, 8470 116,200,436,378,392,204,459,387,507,189,321,386, 24,191, 68,372,323, 8471 198,482,379, 93,201,298,371,208,190,275,383,162,193)(139,192,160,376) 8472 (185,206,390,369) ] ], 8473[ 3, 668326769467589022464821184293345689600000000, 0, "4c", 8474 [ [ 44, 1 ], [ 484, 1 ] ], 1, "Alt(23)^2.2^2", [ "A", 23, 2 ], 8475 [ ( 1,293,194,334,232, 15,279,193,330,251, 11,280,203,323,247, 10,288,186, 8476 337,233, 9,284,205,333,234, 19,277,201,332,242, 2,291,187,331,238, 8477 21,287,188,341,231, 17,286,196,324,245, 3,285,192,343,241, 4,295, 8478 185,339,240, 12,278,199,325,239, 8,297,195,326,249)( 5,290,207,340, 8479 236, 7,298,200,327,244, 23,294,190,329,252, 16,281,198,345,248, 6, 8480 283,206,338,235, 14,299,202,328,237, 22,292,189,336,253, 18,282,191, 8481 344,246)( 13,289,197,335,243)( 20,296,204,342,250)( 24,132,516,311, 8482 140, 61,210,400,376,274,425,349, 42,116,523,309,150, 48,222,394,377, 8483 261,435,356, 27,134,507,316,148, 58,209,406,371,262,422,366, 34,119, 8484 525,300,155, 56,219,393,383,256,423,353, 44,126,510,318,139, 63,217, 8485 403,370,268,417,354, 31,136,517,303,157, 47,224,401,380,255,429,348, 8486 32,123,527,310,142, 65,208,408,378,265,416,360, 26,124,514,320,149, 8487 50,226,392,385,263,426,347, 38,118,515,307,159, 57,211,410,369,270, 8488 424,357, 25,130,509,308,146, 67,218,395,387,254,431,355, 35,117,521, 8489 302,147, 54,228,402,372,272,415,362, 33,127,508,314,141, 55,215,412, 8490 379,257,433,346, 40,125,518,301,153, 49,216,399,389,264,418,364) 8491 ( 28,129,529,317,144, 53,229,407,373,267,437,363, 29,122,528,315,143, 8492 60,230,409,374,260,436,361)( 30,137,522,304,152, 69,225,397,375,275, 8493 430,350, 37,138,524,305,145, 68,223,396,382,276,432,351) 8494 ( 36,128,519,312,151, 59,220,404,381,266,427,358)( 39,120,520,322,156, 8495 52,214,413,384,258,428,368, 41,121,513,321,154, 51,221,414,386,259, 8496 421,367)( 43,135,526,319,158, 66,227,411,388,273,434,365) 8497 ( 45,131,511,313,161, 64,213,398,390,269,419,359, 46,133,512,306,160, 8498 62,212,405,391,271,420,352)( 70,477,447,495, 94, 84,463,446,491,113, 8499 80,464,456,484,109, 79,472,439,498, 95, 78,468,458,494, 96, 88,461, 8500 454,493,104, 71,475,440,492,100, 90,471,441,502, 93, 86,470,449,485, 8501 107, 72,469,445,504,103, 73,479,438,500,102, 81,462,452,486,101, 77, 8502 481,448,487,111)( 74,474,460,501, 98, 76,482,453,488,106, 92,478,443, 8503 490,114, 85,465,451,506,110, 75,467,459,499, 97, 83,483,455,489, 99, 8504 91,476,442,497,115, 87,466,444,505,108)( 82,473,450,496,105) 8505 ( 89,480,457,503,112)(162,178,171,173,163,176,164,170,169,182,172,165, 8506 180)(166,175,184,179,167,168,183,177), 8507 ( 1,381,288, 30,489,143,302,207,406, 63,217,271,134, 9,174,284,467, 8508 503,442,321,368,393,339,218, 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8909 401,290,248,203,502,284,405,120,154,220, 73,397,125,446,408,208, 52, 8910 195,105,260,244,384,211, 95,197,228,445,121, 74, 67,317,399,527,516, 8911 151,186,393,275,148,506,289,204,132,136,409,303,495,179,361,224,142, 8912 331,443, 69,418, 39,374,134,352,155,388, 78,119,371,122,396,510,407, 8913 471,486,356,264,524,249,266,481,313,444) ] ], 8914[ 2, 148035360, 0, "2", [ [ 529, 1 ] ], 3, "PGL(2, 23^2)", 8915 [ "L", [ 2, 529 ], 1 ], 8916 [ ( 1, 88,453,493,468,287,325,529,524, 45,220,467,110,191,370,357,136,333, 8917 294, 34,354,298,303,181,395,447,262, 51,365,492, 50,277,486,299,480, 8918 120, 21,293,509,429, 24,171,449,247, 99,495, 80,224,269,215,297,408, 8919 473, 81,113,219,388, 77, 4,254,496,209,435, 13,268,386,266, 44,189, 8920 512, 94,184, 87,237, 66,484,528,160,360,317,343,118,295,331, 47, 78, 8921 418,129,305,212,419,207,438,234,238,430,527,138,404, 75,372,369,501, 8922 400,289,450,258,196,402, 74,276,482,420,228,389,278,177,309,306, 73, 8923 274, 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95,200,265,207,194,401, 25,431,242,399,448, 8978 524) ] ], 8979[ 3, 148035360, 0, "2", [ [ 529, 1 ] ], 2, "PSigmaL(2, 23^2)", 8980 [ "L", [ 2, 529 ], 1 ], 8981 [ ( 1,258,358,166, 68,282,420, 10,240,286,530, 33, 67,274,371,108,339,327, 8982 414,330,284,492)( 2,383,297, 86,234, 21,409,302,478,499,425,168,437, 8983 461,317,154, 62,372, 32, 50,360,266)( 3, 14,439,155, 57,453,423,401, 8984 215,205,158,294,132,131,398,148,446,211, 61, 11,328,316) 8985 ( 4,311,440,285,115,228,382, 20,527,386, 45)( 5,303,103,424,128,239, 8986 64,107,243,117,365,318,207,305,343,349,413,369,408,150,124,242) 8987 ( 6,105, 18, 59,495, 9, 34,329,209,269,146,392,441,314, 83,206,411, 8988 178,381,493,126,227)( 7,458,196,304,519,189, 41,491,370,142, 52, 39, 8989 389,366,145,501,241,466,435,419,120,290)( 8, 38,202,197,298, 80, 54, 8990 99,391,490, 73,268,402, 89,454, 65,247,192,436,283,323,388) 8991 ( 12,232, 92,295,231,312,356,149,225,238,451, 42,504,520,394,288,503, 8992 429,137,127, 97,432)( 13, 53, 70,256,463,181, 75,264,521,485,350,396, 8993 245, 44, 22,162,112,364,459, 76,464,220)( 15, 25, 36,188, 43,342,130, 8994 455,525,489, 81)( 16,415,193,517,502,248,167,500,300, 17, 48,173,172, 8995 476,325,462,334,171,526, 91,524, 84)( 19,119,140,219,201,498,293,416, 8996 74,374, 94,508,138,235,125,506,326,477,336, 90,204,377) 8997 ( 23,529,375,244, 85, 82,442,345,159,291, 29, 46,104,263, 72,106,376, 8998 221,443, 31,203,355)( 24, 88,507,412,472,222, 77,337,404,180,301,397, 8999 482,152,254, 98,139,361,515,199,153,444)( 26, 78,310,200,252,379,156, 9000 315,249,340,322,438, 40,319,151, 35,308, 30,164,100, 96,236) 9001 ( 27,480,475,265,224,237,324,129, 66, 51,353,174,496,114,467,434,208, 9002 384,465,338, 69,216)( 28,479,359,122,352,332,272,307,511, 95,497,528, 9003 270,147,426,102,473,505,195,487,456,182)( 37,109,134,118,163,271,190, 9004 395,523,143,123,276,273,471,385,250,299,427,110,449,380,447) 9005 ( 47,347,488,279,179,135,262,292,187,403,390,121,223,194,367,287, 79, 9006 191,281,133,399,417)( 49,445,469,348,522,136,218,111, 87,321,212,494, 9007 351,261,431,486,346,468,306,341,470,296)( 55,229,160,213,251,267,378, 9008 186,354,165,175,233,483, 56,344,260,363,516,246,217,405,460) 9009 ( 58,101,170,255,320,418,450,362,253,448,280,313,309,400,406,407, 63, 9010 428,333,484,144,518)( 60,176,177,230,393,214, 71,513,289,226,512,457, 9011 275,183,474,387,141,210,422,278,357,257)( 93,169,452,410,368,157,510, 9012 433,373,161,430,277,509,185,514,481,331,113,421,116,198,335), 9013 ( 1, 72,351,406, 92,368,527,136,311, 64,339,179,217,150,436,430, 53, 9014 468,264,234,305,127,529,207, 54, 99, 21,273,172,156,177,409,356, 83, 9015 330, 33,507,170,189,427,198,442,475,394,474,242)( 2,469,164,116,188, 9016 90,422,269,281,274, 87,425,456,392,297,447,490,141,380,182, 20,393, 9017 314, 10,159,229,194,107, 85,135,218,449, 75,354,362, 95,191,445,101, 9018 502,295,501,307,248, 68,257)( 3,432,250,320,441,517,236,431,471,344, 9019 233,131, 67,428,283,381,261,403,414,332,193,232,147)( 4,137, 19,342, 9020 276,492,413,143,363, 13, 37, 47,290,125,173, 46,347,128,239,205,319, 9021 82,212,277,508,513, 16,220,296,386,267,301,382,365,310, 6, 78, 71, 9022 40,211,374,302,204,266, 52,335)( 5,504,196,424,443, 97,214,293,114, 9023 167, 43,106, 65,284, 18,423,315,518,102,195, 15,454,459,496,126,466, 9024 14,316,299,450,253,416, 32,402,185, 74,163,470,379,421,213,497,505, 9025 499,210,460)( 7,157,346, 88,419, 76,275,304, 9,155,192,324,350,292, 9026 148,134,453, 57,306,181, 45, 63,519,190,514,455, 94,225, 79,246,489, 9027 56,509,199,249,407,404,323,530,317,152,117,498,263,491,503) 9028 ( 8,448,175, 62,262,166,322, 55,146, 51,512,216,120, 38,482,112, 35, 9029 201,396,308, 93,500, 48,160,331,360, 80, 91,483,118, 58,451,325, 77, 9030 333,240,336,357,327,313,176,495, 70,187,435,227)( 11,255,376, 84,270, 9031 371,119,228,110,361,113,252,121,287,388,132,493,426,366, 66,115,486, 9032 398,149,353,520, 50,359,411,165,494, 24,326,258,464,282,300,444,124, 9033 378,184,139,271,151,438,345)( 12,526,243,130,337,510,465,480,341,522, 9034 41,251, 28,458,373, 23,231,162,260,340, 49,279, 98,153, 34,349,387, 9035 22, 29,472,238,516,461,477,278,479,524, 25,244,506,174,372,415, 44, 9036 429, 30)( 17,521, 31,256,272,383,202,265,452,389,168,312,515,154,208, 9037 122,417,291, 59,142,412,370,348,358,397,289,186,473,215,183, 73,329, 9038 418,129,405,123,105, 39,511,247,109,390,203,200,434,221) 9039 ( 26,226, 36,463,410,169,420,364,108,241,288,318,385,400,103,321,224, 9040 399,237,433,161,303, 69,484,178,104,488,309,268,111,377,180,285,144, 9041 209,235,222,375,343,440, 61, 81,158,145,338, 60)( 27,259,100,481,439, 9042 133,485, 89,478,206,294,369,446,525, 42,328,197,355,467, 86,487,286, 9043 367,476,352,138,462,245,457,334,401,408,140,230,523,395,298,391, 96, 9044 280,254,384,437,528,171,219) ] ], 9045[ 4, 148035360, 0, "2", [ [ 529, 1 ] ], 3, "PSL(2, 23^2).2_3", 9046 [ "L", [ 2, 529 ], 1 ], 9047 [ ( 1,504,308,352, 99,182,470,320,319,259,127,424,239,324,508, 47,141,305, 9048 39,235,189,404,158,301,260, 70,176,445,125,187,178, 97, 73,332,369, 9049 221,258,517,493,412,403,465,145,414,520,330,289,432,186,401,355, 21, 9050 285,449, 13, 82,266,351,166,463,331,271,270,120,408,491,238,282, 86, 9051 59,392,329,372, 3,224,379,363,452, 52,494,253, 25,223,150,248,177, 9052 357, 71, 91, 95, 88,255, 64, 7, 18,220,341, 67,528,129,415,460,339, 9053 264,402,171,267,121, 31,397,105,505,199,464, 41,399,205,149,275, 50, 9054 147,165,439,286,228,513,474, 66,283,509,231,371, 46,322,117, 40,418, 9055 163,518,423,206,208,190,390,398,446,152,184, 43,405,216,108,201,146, 9056 472,387,112,486, 93,114,349,484,347,512,388,115, 24,295, 36,475,202, 9057 78,243,106,241,476,497,104,478,203,118,444,389,482,374,185, 17,406, 9058 438,144,192,200,400,382,384,167, 72,427,172, 20,473,268, 14,219,359, 9059 81,307,524,116, 77,362,304,151,425,443, 10,315,441,385,191, 19,126, 9060 391, 85,485,193, 29,469,323,419,188,326,251,130,175,461, 62,523,249, 9061 370, 42, 53,526,335,502,495,499,519,233,413,342,440,367, 35,337, 96, 9062 8,138,227,211,366, 57,218,261,198)( 2,410,314,280,510,212, 49,100, 9063 457,516,380,132,467, 16, 63,521,161,148,459, 5,317,217,213, 4, 37, 9064 156,435, 76, 34,250,124,318,468,364,229,244,143,421,215,128,396,511, 9065 395,196,254,477,298,529,345,481,103,284,279,360,240,354,376,488,107, 9066 90,291,503,489,338, 51,111,344,422,234,433, 60, 89, 38,242,278,164, 9067 134,159, 15,313,383, 28,343,353,179, 54,368,160,232,162,515,293,333, 9068 417,140,316,197,451,448,416,471,436,281, 98, 48,135,170,498,136,110, 9069 263,334,522,287,296,153,525,407,209, 33,137,288,265,181,409,325,302, 9070 453, 27,381,183, 65,437,294,303, 68,256,327,480,454, 92,420,455, 12, 9071 492,309,154,119,174,142,139,393,274,450,173,257,297, 75,428,358,430, 9072 222, 6,411,237,247, 32,207,277, 45,431,456,426,312,348, 22,501,530, 9073 157,356,168,246,479, 9,252,101, 87,299,500,483,102,214,236,350,230, 9074 311,306,487,109,245, 61,292,113,336,394,195, 79,194,462,375,169,447, 9075 346,361,226,122,272,466,340, 26,514,155,434, 23, 56,377,373,273, 55, 9076 131,442,429, 69,527, 44,123,458,210, 74,133,490, 11,378, 80,310,276, 9077 180, 58,321,386,496,262,365, 83, 84,290, 30,300,506,507,225,328, 94, 9078 204,269), ( 1,237,161,461,106,196,252,459,391,121,272,515, 3,483, 9079 61,288,314,149,294,104,460,155, 18,262, 33, 24,481,109,405,439,198, 9080 463, 85,516,505,271,165,406,175,130,401,407, 35,243)( 2,194,334,484, 9081 133,312,458,346,304,213, 92,485,392,268,367,181,446,447,464,223, 68, 9082 293,327,374,449, 22, 57, 21,156, 13, 93,138, 14,325,403, 59,177,160, 9083 526,132,126,493, 11,238)( 4,453,354,246,216,170,164, 88,129,103,116, 9084 191,344,357,209,337,415, 60, 52,118,509,379, 41,260,330,399,489, 15, 9085 313,490,127,120,482, 86,362,250, 39,476,385,486,336,146,189, 36) 9086 ( 5,159,522,378,487,218,435,215,297,157,117,199,462,429,315,311,266, 9087 507, 82,275,289,184,169,303,524,270,338,441,162,145,321,402, 80,208, 9088 142,387, 69, 79,236,316,442,371,307,427)( 6, 34, 10,419,529,468, 91, 9089 9, 23,329,234, 77,375,386,404,397,278,359,425, 47,479, 20,140,203, 9090 473,139,351,456,390, 38,231,372,143, 37,500,517, 96,267,364,369,514, 9091 480,431,123)( 7,417, 70, 98,228, 30,498,122, 72,111, 78,115,310,220, 9092 355,137,395,287, 67, 25,180,151, 76,508,450,420, 81,261,257,300,333, 9093 178,141,511,345,172,323,226,227,373,421,247,451,276)( 8,190,302,414, 9094 295,408,269,244,285,521,520,245,211,380,444,135, 56,188,176,212,478, 9095 12,179, 97, 89,389, 75,496, 63, 17,147,502, 73,363,410,168,206,136, 9096 350,530,182,192,152,455)( 16,348,290,467,400,376,308,144,465,340,360, 9097 222,320,452,174,494,501,436,219,433, 66,273,309,492, 95,224,434,280, 9098 430,335,411, 42,412,264,124,443,286,249,437,506,352,210,255,381) 9099 ( 19,158,235,519,233,491,281, 62,258,326,497,513,466,108,523,100,163, 9100 99,148,277,353,358, 50,428,319,204, 90,470,242,383,263,166,426,438, 9101 94,305,274,339,253,167,422,457,197,413)( 26,265,342, 44, 55,322,432, 9102 112,150,183,477,232,331, 87,291,528,186,171,343,282,251,384,361,134, 9103 105, 84,396,279,299, 83,214,195,365,512,527,448,239,101,240, 74,221, 9104 292,217,254)( 27,510,225,318,388,394,409, 40, 31,201,332, 45, 71,471, 9105 298, 54,503,256,488,296,128,341,185, 43,154, 49,393,153,370,423,418, 9106 51,416,114,102,200,454,230,229,424,398,328,377,306)( 28,241,495, 48, 9107 64,504,202, 58,324, 46, 53, 32,187,472,205,173,284,475,259, 65, 29, 9108 207,347,440,193,131,518,366,317,382,119,356,110,349,525,113,125,499, 9109 474,469,248,301,107,445) ] ], 9110[ 5, 296070720, 0, "2", [ [ 529, 1 ] ], 3, "PGammaL(2, 23^2)", 9111 [ "L", [ 2, 529 ], 1 ], 9112 [ ( 1,424,451,391)( 2,182,185,309)( 3, 25,123,486)( 4,363,168, 51) 9113 ( 5,151, 82,504)( 6,390,459, 37)( 7,178,373,490)( 8,516,418, 55) 9114 ( 9,359,356,232)( 10,117, 90,150)( 11,227,244,517)( 12, 54,337,280) 9115 ( 13,152,362,508)( 14, 43,383,292)( 15,365,329,421)( 16,130, 97,269) 9116 ( 17, 76,188,393)( 18,102,132,166)( 19,298,288, 70)( 20,483,189,170) 9117 ( 21,484,143,433)( 22,250,231,342)( 23,146, 93,135)( 24,530,314,297) 9118 ( 26,482,369,259)( 27,300,230,321)( 28,430,262,436)( 29,260,428,219) 9119 ( 30,507,385,481)( 31,450,167,492)( 32,491,216,157)( 33,528,389,179) 9120 ( 34,156, 60,511)( 35,412,366,437)( 36,372,407,469)( 38,376,184,404) 9121 ( 39,464,307, 89)( 40,257,183,247)( 41,107,367,201)( 42,191,476,275) 9122 ( 44,480,420,162)( 45,413,431,456)( 46,217,489, 66)( 47, 53,338, 75) 9123 ( 48,302,285,449)( 49,510, 91,374)( 50,325,384,509)( 52,475,495,324) 9124 ( 56,442,276,370)( 57,398,108,520)( 58,352,371,521)( 59,172,282,515) 9125 ( 61,121,379,497)( 62,211,397,301)( 63,192,198,114)( 64,271,173,119) 9126 ( 65,266,499,350)( 67,474)( 68,345,122,235)( 69,209,429,133) 9127 ( 71,462,251,295)( 72,505,169,134)( 73,274,463,333)( 74,341,101,153) 9128 ( 77,234,452,502)( 78,208,468,267)( 79,290,246,470)( 80,457,218,194) 9129 ( 81,278,305,255)( 83, 86,361,381)( 84,323,347,461)( 85,496,128,110) 9130 ( 87,213,410,237)( 88,401,229,283)( 92,493,239,256)( 94,318,426,392) 9131 ( 95,141,206,360)( 96,382,327,222)( 98,417,138,195)( 99,265,171,485) 9132 (100,399,387,125)(103,228,293,289)(104,506,129,175)(105,513,111,279) 9133 (106,187,126,402)(109,127,336,226)(112,408,472,332)(113,322,512,281) 9134 (115,149,447,223)(116,264,242,273)(118,348,320,147)(120,526,176,212) 9135 (124,403,346,443)(131,304,454,328)(136,202,344,380)(137,503,165,357) 9136 (139,435,354,415)(140,312,258,453)(142,154,416,441)(144,240,479,330) 9137 (145,155,317,287)(148,524,465,353)(158,249,527,498)(159,214,319,445) 9138 (160,458,455,180)(161,405,339,197)(163,225,164,207)(174,340,500,434) 9139 (177,210,215,296)(181,446,400,335)(186,190,233,238)(193,221,394,423) 9140 (196,419,306,473)(199,519,291,310)(200,440,388,467)(203,466,494,488) 9141 (204,261,529,487)(205,315,432,414)(220,514,241,311)(224,254,396,386) 9142 (236,286,460,263)(243,253,471,522)(245,364,331,326)(248,252,438,313) 9143 (268,425,277,299)(270,368,422,477)(272,525,411,444)(284,358,294,501) 9144 (303,355,351,308)(316,377,334,378)(343,427,478,349)(375,523,439,409) 9145 (395,448,406,518), ( 1,170,428,511,271, 12,459, 41,292,427,259,379, 9146 307,241,233,331,522,105, 72,147,274,228, 88,247, 35,123,107, 81,467, 9147 149,333,510,138,114,494, 79, 21,187, 15, 58, 99,530,478,216,295,517, 9148 44,248)( 2, 73,356,453, 7,421, 5, 57,115, 31,280,243,162,304,192, 9149 9,385,234, 16,106, 11,332,245, 30,330,360,268,211,163, 23,386,430, 9150 13, 67, 76,125,303,104,290, 28,472,111,433, 61,258, 77,218,103) 9151 ( 3,118,501,373,351,136,321,354,347,387,363,246,313,504,396,361,320, 9152 477,299, 63,357,450,524,178,401, 37,213, 70, 64,288,394, 51, 92,306, 9153 318,371,190,474,415,445,120,212,181,509,393,480,367, 53) 9154 ( 4,479, 59,372,523, 56, 47,256,223,267,498,497,199,466,308,155,499, 9155 429,264,161, 50,207,145,410,133,492, 65,273,257,172,142,221,287,461, 9156 224,300,435,128,188,214,127,388,465, 18,458,529,414, 40) 9157 ( 6,180,215,253,289, 60,469,505,402,324,312,376,173,451, 27,447,119, 9158 249,426,293,204,146, 96,108,484,350,512,520, 86,195,235, 85,452, 62, 9159 193,407,326, 24, 82,101,454,110,322, 69,381, 90,486, 80) 9160 ( 8,503,311, 48,186,100, 46,449,392,364,109,171,513,244,281,344,464, 9161 334, 84,355,341,314, 26,323,158,400, 66, 17,436,362,448,339,182,229, 9162 174,434,159, 74,230,316,440,278,463,131,227,175,395,507) 9163 ( 10,526,496,423,489,380,297,129,236,476,519,325,200,409,137,403,282, 9164 460,167,286,359, 91,291,487,279,317,374,389,160,336,455,150,116,352, 9165 225,432,456,191,201,117,377,165,431,132,365,495,420,153) 9166 ( 14,416,217, 29,263,197,525,491,269,514,488,194,457,265,157,250,168, 9167 242,368,506, 52,518,475,358,384,266,425,398,406, 83, 36,340,210,490, 9168 296,143,124,441,493,315,203, 32,252,378,151,238,462,113) 9169 ( 19,521,284,482,285,134,298,121,438,348,270,411, 97, 38,283,261,164, 9170 156,349, 94, 87,179,404,413,130,408,399, 39,222,232,471,262,219,144, 9171 346,309,329,419,481,417,122, 68,169,422,446,206,239,166) 9172 ( 20,383,337,412, 75,443,260,254,141,176,327,437,154,208,516,424,126, 9173 366,139,237,140,345,405,310,185,444,508,275,255,343,302,301,473,177, 9174 95,196, 78,277,205,319,483, 93,202,183, 25, 45,294,527) 9175 ( 22,226,485,240,135,439,209,276,418, 71,468, 55, 43,370,102,272,500, 9176 390,342, 49, 98,375,231, 34,502,152,189, 54,338,369,442,353,470,148, 9177 328,515,220,184,528,198,305,382,397, 89,251,335,112, 42)( 33,391) ] 9178 ], 9179[6, Factorial(530)/2,1,"2",[[529,1]],528, "Alt(530)", ["A",530, 1], "Alt"], 9180[7, Factorial(530),0,"2",[[529, 1]],530, "Sym(530)", ["A",530, 1], "Sym"]]; 9181PRIMGRP[531]:= 9182[[1, Factorial(531)/2,1,"2",[[530,1]],529, "Alt(531)", ["A",531, 1], "Alt"], 9183[2, Factorial(531),0,"2",[[530, 1]],531, "Sym(531)", ["A",531, 1], "Sym"]]; 9184PRIMGRP[532]:= 9185[[1, Factorial(532)/2,1,"2",[[531,1]],530, "Alt(532)", ["A",532, 1], "Alt"], 9186[2, Factorial(532),0,"2",[[531, 1]],532, "Sym(532)", ["A",532, 1], "Sym"]]; 9187PRIMGRP[533]:= 9188[[1, Factorial(533)/2,1,"2",[[532,1]],531, "Alt(533)", ["A",533, 1], "Alt"], 9189[2, Factorial(533),0,"2",[[532, 1]],533, "Sym(533)", ["A",533, 1], "Sym"]]; 9190PRIMGRP[534]:= 9191[[1, Factorial(534)/2,1,"2",[[533,1]],532, "Alt(534)", ["A",534, 1], "Alt"], 9192[2, Factorial(534),0,"2",[[533, 1]],534, "Sym(534)", ["A",534, 1], "Sym"]]; 9193PRIMGRP[535]:= 9194[[1, Factorial(535)/2,1,"2",[[534,1]],533, "Alt(535)", ["A",535, 1], "Alt"], 9195[2, Factorial(535),0,"2",[[534, 1]],535, "Sym(535)", ["A",535, 1], "Sym"]]; 9196PRIMGRP[536]:= 9197[[1, Factorial(536)/2,1,"2",[[535,1]],534, "Alt(536)", ["A",536, 1], "Alt"], 9198[2, Factorial(536),0,"2",[[535, 1]],536, "Sym(536)", ["A",536, 1], "Sym"]]; 9199PRIMGRP[537]:= 9200[[1, Factorial(537)/2,1,"2",[[536,1]],535, "Alt(537)", ["A",537, 1], "Alt"], 9201[2, Factorial(537),0,"2",[[536, 1]],537, "Sym(537)", ["A",537, 1], "Sym"]]; 9202PRIMGRP[538]:= 9203[[1, Factorial(538)/2,1,"2",[[537,1]],536, "Alt(538)", ["A",538, 1], "Alt"], 9204[2, Factorial(538),0,"2",[[537, 1]],538, "Sym(538)", ["A",538, 1], "Sym"]]; 9205PRIMGRP[539]:= 9206[[1, Factorial(539)/2,1,"2",[[538,1]],537, "Alt(539)", ["A",539, 1], "Alt"], 9207[2, Factorial(539),0,"2",[[538, 1]],539, "Sym(539)", ["A",539, 1], "Sym"]]; 9208PRIMGRP[540]:= 9209[[ 1, 3265920, 1, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1, "PSU(4, 3)", 9210 [ "2A", [ 3, 3 ], 1 ], 9211 [ ( 1,420,302,263,451,517)( 2, 90, 38,524, 12, 33)( 3,375,257,301,383,122 9212 )( 4,178,225,315, 83,209)( 5,338, 14, 61,125,103)( 6,430,507,418, 9213 184, 20)( 7,501,303, 9,130,193)( 8,278,261,139,505,511) 9214 ( 10,502,357,100,220,443)( 11,123,203,366, 60,424)( 13,434,283,199, 9215 129,359)( 15,489,274, 26,134,324)( 16,465,514,404, 66, 47) 9216 ( 17,362,144, 69, 56,270)( 18, 94,200,516,106,482)( 19,488, 77,329, 9217 57,522)( 21,231, 51,183,219, 42)( 22, 23,149,238,186, 58) 9218 ( 24,457,152,115,207,438)( 25,394,299, 98,157, 89)( 27,509,294,272, 9219 436,536)( 28,355,538,425,369,159)( 29,433,213,380,256,452) 9220 ( 30,456,520,264,291,360)( 31,450,260,339,289,215)( 32,332,277,395, 9221 109,432)( 34,521,518,113,196,486)( 35, 80,240, 84,194,308) 9222 ( 36,118,532,350,337,377)( 37,415,506,478,221,358)( 39,468,138,259, 9223 503,317)( 40,508, 97)( 41,368,185,510,137,487)( 43,459,205,321,228, 9224 449)( 44,244,258,192,273,534)( 45,340,371,165,322,540) 9225 ( 46,248,526,208,469,476)( 48,474,328,143,341,353)( 49,233,352,422, 9226 154,293)( 50,292,370,297,316,163)( 52,440,373,314,211,280) 9227 ( 53,188,104,275,491,392)( 54,269,198,151,189,247)( 55, 79,287,174, 9228 351,426)( 59,396,214,481,117,146)( 62, 65,279,309,437,428) 9229 ( 63,234,133,473,145,295)( 64,271,195,246,390,173)( 67,136,365,253, 9230 325,172)( 68,376, 74, 76,408,268)( 70,354,245,378,164,419) 9231 ( 71,227, 73,181, 95,160)( 72,319,441,311,235,401)( 75,492,202,435, 9232 93,386)( 78, 92,249,217,237,484)( 81,298,400,216,132,191) 9233 ( 82,393,513,243,496,162)( 85,537,153,374,307,448)( 86,464,470,236, 9234 405,290)( 87,447,477,187,229,177)( 88,327,252,458,399,347) 9235 ( 91,197,345,423,462,403)( 96,161,460,242,206,388)( 99,210,276,384, 9236 494,156)(101,356,531,305,306,385)(102,445,417,323,318,346) 9237 (105,334,230,155,265,176)(107,483,495,239,120,204)(108,119,382,127, 9238 343,427)(110,391,406,222,389,254)(111,398,166,170,179,131) 9239 (112,251,515,241,180,367)(114,533,158,421,529,442)(116,519,336,363, 9240 498,168)(121,409,411,364,454,523)(124,479,250,167,500,335) 9241 (126,499,493,310,471,169)(128,475,535,530,312,212)(135,381,429,467, 9242 372,349)(140,416,296,539,453,223)(141,413,304,267,313,281) 9243 (142,232,286,282,224,201)(147,288,480,485,497,525)(148,472,431,402, 9244 320,527)(150,285,407,326,490,342)(171,461,266,528,348,175) 9245 (182,412,226,262,255,300)(190,284,410,397,504,344)(218,446,439) 9246 (330,361,414)(331,387,463,466,455,444)(333,512,379), 9247 ( 1,313,239,338)( 2,374, 93,536,234,164,191, 61,483,299,311,153) 9248 ( 3, 6,442,307,359,145,110, 11,394,245,193, 7)( 4,283,495) 9249 ( 5,395,137,391,412, 69,326, 98,172,138,346,484)( 8,181,538,113,525, 9250 180,188,382,540,148,322, 81)( 9,516, 42,284, 78,507,154, 14,149,157, 9251 183,301)( 10,312,452,399,109,532,135, 16,210, 28,230, 32) 9252 ( 12,241, 51,513)( 13, 76, 39, 58,125,114,220,295, 55,419, 37,370) 9253 ( 15,290,387,455, 63, 53,388,494, 25,519,156, 30)( 17,196,281,478,341, 9254 165,244,331,458,201,409,503)( 18,440,451, 83,504,140,417,397,204,468, 9255 89,285)( 19,236,410, 27,327,393,473,169,474, 35,182,375) 9256 ( 20,325, 57,214,103,150,306,463,315,354,260,528)( 21,405,441,203) 9257 ( 22,460,265,514,323,100,400,362,253,305, 95,439)( 23,314, 99,303,255, 9258 443,197,272,200,330,215,430)( 24,288,249, 54,124,155,342,371,386,212, 9259 262,454)( 26,534,404,123,407,208, 88,524,376,227,291,421) 9260 ( 29,221,517, 84,350,179,287,152,271,444,297,449)( 31,198,390,333,211, 9261 367,286,117,259,128,402,506)( 33, 47, 40,475,129,446,289,115,499,403, 9262 396,282)( 34,427,228,160,505,240,364, 75,530,247,464,118) 9263 ( 36,498, 94,243, 45,235,447,377,251,497, 70,167)( 38,166,310,416, 50, 9264 415,501,462,106,428,292,531)( 41,398,423,187,120,223,277,184, 68,373, 9265 111,134)( 43,496,389,279,320,147,408,296,151, 64,344,171) 9266 ( 44,102,257,392)( 46,539,112,450,511,502,194,512,492,347,173,358) 9267 ( 48,510,217,522,508, 60,477,328, 96,418,318,348)( 49,213,515,457,352, 9268 476,216,340,231,159,479,176)( 52,261,225,360,414,334,136, 97,437,232, 9269 420,143)( 56,411,139,276,345,535,304,332,361,275,321,309) 9270 ( 59,482,246,144,270,274,205,453,384,448,349,356)( 62,192,456,258,264, 9271 298,317,224,101,269,329, 72)( 65,434,481,363,218,302,385,335,357,229, 9272 488,119)( 66,471,520, 74,161,426,242,237,175,378,379,424) 9273 ( 67,116,487,316)( 71,104,308,465,380,248,500,461,521,401,278,432) 9274 ( 73,238,250,189)( 77,526,381, 82,170,141,355,336,206,207,162,142) 9275 ( 79,413,222,466,365,256,383,339,324,431, 87,252)( 80,199,509,219) 9276 ( 85,493,518,294,209,489,485,186,368,158,438,351)( 86,202,146,319,486, 9277 168,131,127,429,425,280,523)( 90,406,133,163,185,300,537,366,263,436, 9278 177,445)( 91,480,533,105,266,273,107,470,353,472,122,108)( 92,372) 9279 (121,233,190,132)(126,369,422,254)(130,174,433,343)(178,293,268,435) 9280 (195,490)(267,491,467)(337,469,527,529) ] ], 9281[ 2, 6531840, 0, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1, 9282 "PSU(4, 3).2", [ "2A", [ 3, 3 ], 1 ], 9283 [ ( 1,512,222,479,244)( 2,403,354,270,203)( 3, 90,395,287, 92) 9284 ( 4,162, 67,262,243)( 5,478,300,163,221)( 6,111,420,230,182) 9285 ( 7,184,537, 37,322)( 8,210,302,115,105)( 9,282,387,131,288) 9286 ( 10,290,306,320,136)( 11,371, 50,373,539)( 12,408,384,327,460) 9287 ( 13,286, 96,304,436)( 14,509,422, 25,329)( 15,176,488, 88,283) 9288 ( 16,127,370,502,277)( 17,463,359,109,123)( 18,268,507,251,174) 9289 ( 19,271,273, 59,242)( 20,205,212,377,228)( 21,167,255,165,161) 9290 ( 22,192,208,455,260)( 23,357,521,454,458)( 24, 75,316,462, 93) 9291 ( 26,252,104,355,258)( 27,451,292,456,365)( 28,180,368,116, 45) 9292 ( 29,170, 60,482, 76)( 30,310,151,533,296)( 31, 43,114,186,426) 9293 ( 32,540,215,265,117)( 33,397, 58,227,201)( 34,442, 42,134,402) 9294 ( 35,519,396,516,171)( 36,362,323, 87,122)( 38,511,110,275,411) 9295 ( 39,235,166,280,515)( 40,181,196,522,491)( 41,158,234,317,501) 9296 ( 44,470,319,423,155)( 46,492, 74,168,140)( 47,364,392,489,476) 9297 ( 48,495,459,256, 84)( 49,490,439,120,199)( 51,156,125,321,249) 9298 ( 52,298,503,342, 78)( 53,438,153,135,481)( 54,473,527,279,218) 9299 ( 55,464,119, 82,534)( 56,219,239,429,328)( 57,440,437,229,237) 9300 ( 61, 99,172,232,178)( 62,130,148,236,383)( 63,468,333,216,401) 9301 ( 64,207,194,530,444)( 65,160,245,297,388)( 66,531,278,385,269) 9302 ( 68,427,538, 70,425)( 69,308,183, 71,349)( 72,409,206,248,293) 9303 ( 73,159,340,341,139)( 77,164,393,526,337)( 79,536,345,173,267) 9304 ( 80,453,238, 89,289)( 81,486,261,483,303)( 83,447,324,487,474) 9305 ( 85,493,343,469,406)( 86,347,128,325,305)( 91,220,374,146,419) 9306 ( 94,485,169,226,145)( 95,193,410, 98,103)( 97,518,132,523,500) 9307 (100,450,291,177,497)(101,514,430,348,185)(102,112,452,142,382) 9308 (106,179,118,484,335)(107,254,363,154,246)(108,250,381,309,517) 9309 (113,358,386,400,398)(121,472,350,195,513)(124,187,200,445,414) 9310 (126,326,431,266,407)(129,294,433,276,295)(133,510,417,202,446) 9311 (137,204,471,318,504)(138,307,496,434,506)(141,389,353,188,191) 9312 (143,432,259,457,535)(144,443,352,466,376)(147,404,528,369,315) 9313 (149,223,175,330,441)(150,152,263,225,508)(157,189,448,264,312) 9314 (190,314,394,505,475)(197,380,412,499,449)(198,390,361,344,285) 9315 (209,247,281,480,428)(211,272,331,405,378)(213,253,524,336,334) 9316 (214,231,356,416,367)(217,529,525,467,465)(224,299,366,424,301) 9317 (233,520,379,338,532)(240,418,241,391,257)(274,399,313,435,375) 9318 (284,332,311,421,360)(339,498,351,346,372)(413,415,494,461,477), 9319 ( 1, 10,428,183,346,140,145,261)( 2,118,102,266,223,447,493,184) 9320 ( 3,528,299,453,419,520,509,372)( 4,238,407,394,279,144,491,421) 9321 ( 5, 11,290,540,357,107,446,339)( 6,297,226,306,393,364,222,149) 9322 ( 7,533,124,530,298,208,302,142)( 8,237,323,445,471,502, 93,451) 9323 ( 9,272, 70,123,384, 80,119,205)( 12,454,349,181,356,190, 76,141) 9324 ( 13,466,461, 58,367,320,150, 90)( 14,300,391,515,429,307,327,101) 9325 ( 15,139,168, 45,271,219,337,262)( 16, 67,425,236,380,137,178,360) 9326 ( 17,483,304,132,117,485,174, 99)( 18,103,326,197,418, 68,513,257) 9327 ( 19,427, 86,161,467,525,171,154)( 20,519,158,255,508,105,487,351) 9328 ( 21,173,463,106,303, 66,114,264)( 22,417, 37,285,522,400, 82, 94) 9329 ( 23,456, 56,371, 61, 40,212, 73)( 24,458,104,455,220,165,175,116) 9330 ( 25, 35,273,385,521,510,313,441)( 26,363,283,492,138,211,152,169) 9331 ( 27,120,352,469,177,398,128,136)( 28,433,436,329, 39,309,277,180) 9332 ( 29,381,459,468,538,311,480, 62)( 30, 32,506,100,490,350,342,422) 9333 ( 31,274,354,362,160,414,366,319)( 33,514,442,153, 74,361,353,412) 9334 ( 34,127,232,200,532,288,112,218)( 36,195,405,315,341,225,243,234) 9335 ( 38,523,328, 65,388,498,185,330)( 41,504,369,383,518,143,489,189) 9336 ( 42,387,229,192,318,440,336,227)( 43, 78,269,129,247,531,423,125) 9337 ( 44,390,214, 92,374,317,524,115)( 46,378,347,334,187,151, 55,248) 9338 ( 47,473,437,507)( 48,401,254,216,373,217,215,156)( 49,335, 77,465, 9339 539,278,270,209)( 50,322,111,305,109, 71,122,199)( 51,146,438, 88, 9340 420,296, 96,182)( 52,415,497,481,365, 97,345,241)( 53,213,482,221) 9341 ( 54,282,286,396,343,293,408,207)( 57, 72, 83,500,206,416,259, 75) 9342 ( 59,294,431,439,224,172,113,275)( 60,376,529,147,166,484, 87,179) 9343 ( 63,448,460,411,512, 79,268,155)( 64,324,291,470)( 69,517,131,325, 9344 457,501,449,265)( 81,203,134,230,310,321,133,196)( 84,424,476,258, 9345 486,198,410,260)( 85,392,231,359, 95,430,499,242)( 89,253,228,479, 9346 432,370,382,210)( 91,276,287,402,375,126,413,526)( 98,338,284,344, 9347 176,475,280,148)(108,333,314,527,403,452,536,377)(110,170,397,331, 9348 537,462,308,292)(121,162,389,240,332,348,289,409)(130,281,249,194, 9349 167,252,201,477)(135,495,494,159,251,301,435,404)(157,386,474,263, 9350 444,505,395,191)(163,245,503,233,368,204,256,488)(164,235,379,186, 9351 239,535,246,443)(188,478,202,193,358,464,250,511)(244,355,406,434, 9352 426,295,534,312)(267,399,496,472,340,450,516,316) ] ], 9353[ 3, 6531840, 0, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1, 9354 "PSU(4, 3).2", [ "2A", [ 3, 3 ], 1 ], 9355 [ ( 1, 89,511, 3,281,207,305)( 2,414, 79,189, 7,272,338) 9356 ( 4,166,493,491,515,245, 64)( 5,350, 42,507,221,340,185) 9357 ( 6,232, 63,354,342,277,143)( 8,377,389,186,210,182,250) 9358 ( 9,127,177,291,410,439,193)( 10,264,231,487,204,279, 46) 9359 ( 11,430,450,304,372, 72,282)( 12, 94,107, 62,368, 58,361) 9360 ( 13,528,522,191,485,353,289)( 14,523, 52,214,283, 96,190) 9361 ( 15,527,229,206,240,437, 81)( 16,148,117,344,513,244,496) 9362 ( 17,216,465,509,457,241, 48)( 18,497,313,308, 25, 74,321) 9363 ( 19,314,475,268, 49, 31,400)( 20,529, 80,120,436,316,288) 9364 ( 21,530,512,115, 34, 73,392)( 22,261,339,110,447, 33,384) 9365 ( 23,106,443,420, 77,506,161)( 24,157, 40,459,126,393,175) 9366 ( 26,140,453,398,319,173,422)( 27,476,269,467,501,408,376) 9367 ( 28,300,325,271,114,100,327)( 29,382,311, 98, 99,413,195) 9368 ( 30,411,144,172,293,423,484)( 32, 47,502,124,180,535,494) 9369 ( 35,396,417,404,537,113, 56)( 36, 86, 91,290,116,227,499) 9370 ( 37,337,150,343,230,445,435)( 38,103,258,168, 54,426,516) 9371 ( 39,155,532, 60,525,164,112)( 41,267,470,318,131,425,139) 9372 ( 43,199, 71,176,540,460, 65)( 44, 78,295,335,296,387,142) 9373 ( 45,322,395, 92,458,390,287)( 50,128,438,379,256,409,310) 9374 ( 51,428,202,225,102,474,510)( 53,534,255,364,486,448,333) 9375 ( 55, 88,123,203,170,495,238)( 57,399,169,359,441,171,463) 9376 ( 59,320,434,278,146,383,334)( 61,188,336,236,464,462,179) 9377 ( 66,360,412,262,220,284,531)( 67,151,208,518,213, 69,380) 9378 ( 68,315,211,533,133,388,461)( 70, 97, 82,234,331,332,324) 9379 ( 75,482,328,363,235, 85, 83)( 76,137,326,299,473,449,451) 9380 ( 84,125,183,456,524,152,130)( 87,402,109,503,303,135,330) 9381 ( 90,192,367,265,254,249,490)( 93,122,349,156,373,378,477) 9382 ( 95,218,323,105,329,194,111)(101,405,294,242,181,306,427) 9383 (104,346,273,297,280,454,429)(108,446,145,442,369,433,362) 9384 (118,517,252,479,138,341,147)(119,178,209,196,415,136,500) 9385 (121,237,222,292,134,481,219)(129,345,483,205,419,356,539) 9386 (132,153,471,375,248,167,444)(141,480,520,217,270,233,253) 9387 (149,538,347,391,374,246,365)(154,431,381,407,317,478,309) 9388 (158,163,307,276,492,266,187)(159,223,397,247,421,514,286) 9389 (160,394,162,257,355,351,274)(165,239,498,352,224,385,301) 9390 (174,358,489,418,263,432,504)(184,371,201,508,521,536,416) 9391 (197,403,298,312,198,386,440)(200,519,302,226,357,469,259) 9392 (212,366,505,452,406,424,488)(215,468,243,228,370,466,526) 9393 (251,285,275,472,401,455,348), 9394 ( 1,365,296,155,286, 62)( 2,295,124,215, 77,299)( 3,412, 66,399, 19, 9395 385)( 4,413, 47, 58,232, 76)( 5,395,324,134,289,122) 9396 ( 6,450,366, 74,527,231)( 7,441,285,177,510, 12)( 8,180,269, 64, 9397 213,128)( 9, 26,325,152,531,367)( 10,206,220, 46,164, 45) 9398 ( 11,426,104,171,185,404)( 13,460,240,498,484,294)( 14,491,449,420, 9399 61, 67)( 15, 29, 81,166,174, 90)( 16, 17,284)( 18, 28,400,223,361, 9400 356)( 20,368,226,389,304,470)( 21,540,123,228,144,279)( 22,207,150) 9401 ( 23,208,346,472,363,257)( 24,187,242,310,126,147)( 25,360, 86,504, 9402 522, 99)( 27,292,307)( 30,422,209,440, 31,323)( 32,186,452,518,181, 9403 204)( 33,344,317,427,373,236)( 34,506,230,417,305,315) 9404 ( 35,362,316,526,158,381)( 36,343,113,354,451,274)( 37,538, 91) 9405 ( 38,318, 54,121, 95,259)( 39,237, 79,192,509,468)( 40, 53,301,330, 9406 225, 49)( 41,473, 43,136,435,212)( 42,419,260)( 44,176,358,348,298, 9407 347)( 48,517,351,258,407,183)( 50,322,336,467,485, 96) 9408 ( 51,142,312,210,534,487)( 52,246,195,182,342,432)( 55,465,477,264, 9409 131,496)( 56, 84)( 57,493,507,201,508,105)( 59,410,277,536,530,418) 9410 ( 60,140,235,464,287,133)( 63,379,255)( 65,267,108,198,219,109) 9411 ( 68,190,175,445,282,145)( 69, 92,153, 85,270,116)( 70,396,372) 9412 ( 71,331,100,406,332,448)( 72,424, 83,335,488,326)( 73,539,319,466, 9413 475,520)( 75,535, 82)( 78,414, 87,532,130,369)( 80,127,415,161,160, 9414 103)( 88,457,390)( 89,320,302,437,254,139)( 93,345,106,244,233,384) 9415 ( 94,143,428,138,397,341)( 97,446,168,513,501,340)( 98,388,125) 9416 (101,382,500,430,375,200)(102,243,339,511,193,327)(107,261,521,416, 9417 275,490)(110,202,523,154,251,265)(111,433,205,222,276,262) 9418 (112,263,218,309,391,425)(114,436,118,283,371,525)(115,512,443,355, 9419 162,434)(117,476,272,378,442,537)(119,528,170,221,141,403) 9420 (120,311,229,281,290,447)(129,377,429)(132,463,454,149,188,338) 9421 (135,297,370)(137,159,300,328,499,250)(146,529,194,288,245,350) 9422 (148,479,374)(151,157,421,461,492,497)(156,334,165,234,387,480) 9423 (163,217,357)(167,489,462,247,444,455)(169,203,505,333,172,293) 9424 (173,189,337,268,280,502)(178,471,179)(184,402,431,252,376,486) 9425 (191,478,423,352,271,238)(196,380,393,216,211,438)(197,256,308,411, 9426 266,248)(199,494,408)(214,291,405,359,273,474)(224,409,533) 9427 (227,394,386,514,456,495)(239,329,303)(241,353,398,516,483,458) 9428 (249,482,524)(253,459,383,314,503,364)(278,306)(313,519,392) 9429 (321,453,439)(401,515)(469,481) ] ], 9430[ 4, 6531840, 0, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1, 9431 "PSU(4, 3).2", [ "2A", [ 3, 3 ], 1 ], 9432 [ ( 1,347, 51, 57,200)( 2,260,129, 3,184)( 4,413,223, 42,506) 9433 ( 5,417,410,107,466)( 6, 86,100,499,538)( 7, 71,255,520,146) 9434 ( 8,259,402,450,428)( 9, 60,380,122,270)( 10,135,334,124,180) 9435 ( 11,209,316,186,477)( 12,211,219,220, 45)( 13,519,168,357, 69) 9436 ( 14,266, 52,342,187)( 15,165,436,496, 35)( 16,352,453,515, 22) 9437 ( 17,164,328,407,432)( 18,133,338,441,354)( 19,188,232,400,409) 9438 ( 20,274,257,174,147)( 21,305, 98,121,478)( 23,225,437,359,447) 9439 ( 24,405,175,293, 47)( 25,340, 83,114,393)( 26,346,170,130, 74) 9440 ( 27,323,463,154,218)( 28,363, 97,350, 50)( 29, 88,241,162,224) 9441 ( 30,300, 44,202, 89)( 31,273,528, 34,444)( 32,145,508,348,325) 9442 ( 33,504,507,368, 39)( 36,446,143, 81,182)( 37,384, 58,536,391) 9443 ( 38,501,192,412,287)( 40,310,167,495, 77)( 41,443,358,249,505) 9444 ( 43,534,449,104, 55)( 46,335,280,151,108)( 48,372,493,511,131) 9445 ( 49,206,425,253,166)( 53,289,461,205,245)( 54,383,119,345,491) 9446 ( 56,468,392,365, 87)( 59,179,178,336,521)( 61,533,276,137, 84) 9447 ( 62, 91,298,442,421)( 63,448,424,150,389)( 64,329,134,362,502) 9448 ( 65, 92,406,142,267)( 66, 79,210,398,176)( 67,319,152,531,285) 9449 ( 68, 73,156,486,181)( 70,484,294,465,315)( 72,474,214,201,331) 9450 ( 75,427,375,333,387)( 76,458,157,440,423)( 78,208,470,118,248) 9451 ( 80,281,113,198,275)( 82,414,399,177,539)( 85,351,284,509,353) 9452 ( 90,301,127,356,314)( 93,526,530,411,171)( 94,251,366,385,141) 9453 ( 95,296,361,500,532)( 96,228,268,524,105)( 99,401,120,479,404) 9454 (101,523,256,341,231)(102,213,128,370,304)(103,475,302,242,311) 9455 (106,439,173,116,169)(109,246,155,247,138)(110,226,396,234,476) 9456 (111,158,481,456,482)(112,472,408,518,537)(115,494,503,498,373) 9457 (117,238,194,286,172)(123,431,317,183,291)(125,160,271,517,454) 9458 (126,283,418,140,237)(132,464,324,149,264)(136,278,318,429,203) 9459 (139,163,290,435,215)(144,250,397,489,320)(148,295,382,434,189) 9460 (153,309,514,313,258)(159,512,204,261,303)(161,471,415,288,462) 9461 (185,292,467,297,451)(190,527,480,394,196)(191,452,212,321,403) 9462 (193,197,327,262,282)(195,216,371,221,381)(199,390,473,252,455) 9463 (207,457,369,490,497)(217,492,272,306,332)(222,386,460,339,367) 9464 (227,510,269,263,326)(229,420,243,254,330)(230,299,469,529,419) 9465 (233,279,430,459,277)(235,236,438,540,355)(239,376,312,360,416) 9466 (240,337,395,535,244)(265,487,522,422,379)(307,308,483,343,445) 9467 (322,525,433,513,378)(344,485,374,364,426)(349,516,377,388,488), 9468 ( 1,309,119,304,139,163,360,276,314,246)( 2,135,351,533,416,249,492, 9469 196,518,216)( 3,235, 61,284,513,465,180,152,127, 79) 9470 ( 4,187,527,134,452,100,243,364,461,506)( 5,447, 65,346,339, 76,431, 9471 491,476, 15)( 6,142,451,151, 44,454,408,190, 14,247) 9472 ( 7,415,113,472,125, 26, 92,103,529, 17)( 8,442,501,295,441, 55,448, 9473 53,337,502)( 9, 60,208,517,202,456,482,222,300,108)( 10,260, 88, 49, 9474 177,245,424,377,357,319)( 11, 59,255, 85,334,299, 56,400,396,411) 9475 ( 12,363,237,232,468,379,265,120, 91,201)( 13,329,480,437,496,449,283, 9476 189,307, 31)( 16,118,422,392, 66,356,137,481, 89,467) 9477 ( 18,252,143,342,413,172,131, 33,261,429)( 19, 83,404,534, 35,110,407, 9478 432,419,213)( 20,146,164,253,154,279,430,528,229,450) 9479 ( 21,262, 32,322,191,362,395,292, 30,386)( 22,297,267, 23,488,349,301, 9480 531,332,199)( 24,493,302, 41,318,303,193,156,398, 57) 9481 ( 25,168,388,225,394,272,278,443,112,198)( 27,536,369, 62,479,114,540, 9482 507,233,218)( 28,211,343,106,524,115,494,141, 74,160) 9483 ( 29,129,210,486,444,308,335,277,368, 77)( 34,181,384, 58,323,326,221, 9484 122,257,330)( 36,497,321,327,305, 98,532,434,418,149) 9485 ( 37, 68,294,378,145,474,477,171,173,162)( 38,421,490,446,455,217,505, 9486 242,522,248)( 39, 48, 75,258,512,158, 84,236,144,495) 9487 ( 40,500,121,361,310,256,389,457,391,224)( 42,205,539,370,345,317,387, 9488 372,405,485)( 43, 99,401,487,311,406, 86,212,207, 63) 9489 ( 45,331,353,520,274,270, 46,483,219,220)( 47,200,155,266,402,420,499, 9490 538,138,348)( 50,271,470,352,178,373,105,344,175,157) 9491 ( 51,176,365,263,463,166,241,116,238,414)( 52, 81,376,281,288,397,186, 9492 214,298,259)( 54,320,438,393,275,473,133,251,530,234) 9493 ( 64,519,340,188,126,104,354,203,147,428)( 67, 69,273,459,280,185,535, 9494 268,439, 93)( 70,228,244,466,165,215,102,230,124,315) 9495 ( 71,179,453,515,390, 80,312,290,161,471)( 72,508,109, 90,516,150,341, 9496 410,433,509)( 73,197,403,525,107,240,289,426, 96,484) 9497 ( 78,380,381,195,537,358,239,182,264,287)( 82,194,385,503,291,425,328, 9498 226,409,128)( 87,469,475,511,117,169,445,148,192,269) 9499 ( 94,338,382, 95,521,209,324,140, 97,130)(101,523,167,250,462,435,436, 9500 359,417,231)(111,204,504,355,184,371,227,375,423,367) 9501 (123,458,293,325,282,159,153,347,399,206)(132,464,316,489,383,514,313, 9502 427,510,412)(136,306,285,526,366,286,223,374,254,174) 9503 (170,350,440,333,183,498,336,296,478,460) ] ], 9504[ 5, 13063680, 0, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1, 9505 "PSU(4, 3).2^2", [ "2A", [ 3, 3 ], 1 ], 9506 [ ( 1,514,245,346,227,393,526,347,480,402,172,199, 48,457,469,373, 42,493, 9507 276,228,249,126,283,165)( 2,149,159, 14,247,117,267,302, 80,521,133, 9508 357,226,266,155,200, 37,178,108,530,123,405,511,157)( 3, 61,213,377, 9509 491,436,435,263,231, 44,160,507,453,284, 53,399,535,277,512, 11,499, 9510 76,198,437)( 4,444,257,417,115,298,255,142,509,455, 25,387,186, 5, 9511 418,531,141,208,147,124,520,322,243,336)( 6,230,119,527,248,334,235, 9512 470,188,294,390, 20,102,202, 70,450,370,253,407,291,321,152,190, 87) 9513 ( 7,129,471,275,534,432,449,362,229, 13,486,206,533,285,466, 26,355, 9514 46,412,410,440,502,414, 72)( 8,261, 22,452,270,513,153,154,151, 16, 9515 242,379,320,401,423,472,209, 68,131,328,210,304,392,238)( 9,240) 9516 ( 10, 79,189,329,184,175, 52,429,368,342, 17,406,156,301, 41,309,306, 9517 122,296,218, 27,100,425,295)( 12,528, 15,174,524,299,139,380) 9518 ( 18,515,148,360,163,456,333,220,383,135,265,441,197, 34, 73,132,177, 9519 475,316, 50,518,460,353,234)( 19,400,168,161,461, 71, 30,339,446,180, 9520 252,300,523, 78,262,185,445,116, 32,505,395,433,468,232) 9521 ( 21,192,438,286,305,254,473,374,171, 86,424,287,114,318,481,293,458, 9522 145, 47,349, 65,330, 31,413)( 23,173,203, 55,282,317,204,215,162,372, 9523 292,288,280, 66,358,382,408,454,136,428,348,419,308,327) 9524 ( 24,489, 45,476,193,118,315,223,281,376,411,500,109,504,337,319,134, 9525 297,385,222, 62,105,404, 83)( 28,384,375, 85,409,264) 9526 ( 29,394, 89,464,290,268,312,485,237,211,150,219,130,164,187, 81,474, 9527 251,244,137,367,431,451,271)( 33,498,532, 36,420,125,260,345, 40,121, 9528 388,352,501,467,101,313,415, 94,354,182,338,289,525,503) 9529 ( 35,483,279,364,225, 67,443,447)( 38,146,259,465, 51,179,537,359,239, 9530 216, 49,398,427,365, 75, 77, 97,351,170,430,421,140,278,488) 9531 ( 39,106, 95, 91)( 43,343,138,340,462,356,205,350, 57, 98,539,236, 82, 9532 396,439,403,110,214,272,490,416,212,335, 99)( 54,183, 88,506,207,217, 9533 497,422)( 56,495,369, 92,176,448,143,181)( 58,426,158,363,479,167, 9534 144,366,269,332,224,517,323,434,166,113,378,538,246,258,522,389,492, 9535 74)( 59,314,307, 93,325,510,487, 84,540,477,344,233,169,516,112, 90, 9536 442,195, 60,274,386,381,371,120)( 63,127,397,107,324,463,361,529,241, 9537 201,196,221,494,391,331,191, 64,303, 69,508, 96,459,250,482) 9538 (103,310,194,341,326,478,311,273)(104,128,496,484,111,256,536,519), 9539 ( 1, 49,296,428,484, 31,413,522)( 2,415,414,361,113,378, 9, 44) 9540 ( 3,433,267,290,379,311,492,234)( 4,451,162,257,299,420,349,122) 9541 ( 5,194,276,302,248,141,241,109)( 6,446,326, 21,266,264,221,191) 9542 ( 7,192)( 8,490,297,501,502, 15, 26,321)( 10,478,279,262,483,230, 9543 246,354)( 11,499,178, 73,474,392,119, 45)( 12,366, 22,350, 24,525, 9544 351,110)( 13,403,170,198,247,157,331,362)( 14, 82,105,317,500,177, 9545 300,305)( 16,410,528,103,215,139,397,396)( 17,535,200,346,445,440, 9546 343,104)( 18,284,133,476,213,450,436, 65)( 19,146,469,121, 41,338, 9547 59, 33)( 20, 93,364,517,156, 80,134,237)( 23,429,220,427,233,473, 9548 344,536)( 25,381, 96,183,527,431,385,424)( 27,438,328,210,475,174, 9549 89, 85)( 28,130,251,335,494,303,226,195)( 29,225,485,387,477,340, 9550 441,144)( 30, 68)( 32,116,217,153,395,124, 78, 58)( 34, 76,175,531, 9551 159,218,204, 87)( 35,372,304,439,281, 98,140,377)( 36,238,102,307, 9552 337,430,131,120)( 37,503,510,123,287,288,168,282)( 38,481,465,184, 9553 489, 61,521, 79)( 39,404,209,309, 42,324, 81,250)( 40,389,332,402, 9554 453,376, 92,516)( 43,315,514, 56,193,353,461,199)( 46,164, 64,437, 9555 137,523, 77,271)( 47,409,454,265,207,352, 99,190)( 48, 57,136,526, 9556 295,214,166,390)( 50,179,149,231,285,172,442,235)( 51,319,423,101, 9557 95,373, 94,286)( 52,277,360,240,320,249,254,508)( 53,345,380,216, 9558 434,405,243,322)( 54,388,256,212, 69,145,224,496)( 55,258,511,369, 9559 370,205,412,255)( 60,292,391,176,127,486,268,426)( 62,348,152,155, 9560 173,457,163,180)( 63,273,491,334,513,449,444,171)( 66,406,278,161, 9561 357,456,358,530)( 67,365,138,227,466,359,201,259)( 70,539,538, 97, 9562 150, 84,524,435)( 71,316, 72,208,128,533,232,498)( 74,393,151,452, 9563 408,211,318,148)( 83,291,472,417,482,520,540,471)( 86,443,206,368, 9564 468,196,181,519)( 88,252,342,374,228,459,186,425)( 90,245,529,506, 9565 367,289,518,421)( 91,158,253,355,356,448,111,261)(100,470,504,118, 9566 537,460,419,222)(106,310,229,447,306,275,382,294)(107,432,182,223, 9567 422,263,411,202)(108,329,462,505,142,336,160,114)(112,323,339,236, 9568 507,325,239,497)(115,314,125,509,515,371,488,143)(117,274,244,154, 9569 479,260,534,407)(126,293,455,487,129,384,269,363)(132,298,189,280, 9570 272,312,270,219)(135,458,464,185,147,347,394,167)(165,375,341,386, 9571 197,333,480,313)(169,398,401,463,188,283,467,493)(187,495,203,330, 9572 242,418,400,399)(301,383,416,308)(327,532) ] ], 9573[ 6, 13063680, 0, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1, 9574 "PSU(4, 3).4", [ "2A", [ 3, 3 ], 1 ], 9575 [ ( 1,211,488, 36,142, 38, 49,443)( 2,519,462,449,528,242,126,277) 9576 ( 3,322,264, 64, 98,306,492,525)( 4,163,334,226,464,476,481,107) 9577 ( 5,117,292, 86, 89,536,359,415)( 6,101, 51,319,256,146,514, 46) 9578 ( 7,179,221,383,312,219,441,202)( 8,504,237,350,235, 24,370,106) 9579 ( 9,164,512,276,418,426, 15,307)( 10, 23, 90,461, 63,290,247,154) 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76,186,472,397, 97,323,239,289)( 11,536,108, 28,421,404, 9622 240,100,266, 85, 78,234,249,489,458, 62, 35, 66, 41,273,470,365,376, 9623 173, 74,379,424,112)( 14,299,504,330, 95, 75, 73,128,530, 39,317,307, 9624 26,170,166,485,147,433,413,452,414, 50,187,287,511,244,425,207) 9625 ( 16,220,486,237,113,428,465)( 17,238,306,283,264, 42,164,281,137,248, 9626 442,202,184,183,460,129,385,226, 91,505,516,265,229, 80,394,230, 94, 9627 438)( 18, 72,155,188,106,358,506)( 19,211,206,401, 38,535, 84, 24, 9628 393,405,205,197,270,479,343,247,139,308,497,204,104,456,280,522,529, 9629 533,185,487)( 21,362,135,103,218,426,400,403, 51,153,150,344,373,409, 9630 346,503, 93,356, 92,531,267,179,110,168,440,163,303,324) 9631 ( 25,509, 67,177,109,524,142, 49,481,349,475,111,450,370,448,500,449, 9632 274,410,117,138,525,216,260,352,371,120,332)( 32,325,127, 58,445,282, 9633 125,224,171,347,322, 55,540,389,182,290,272,432,316,261,477,423,140, 9634 223, 69, 98,457,190)( 34,251,212,422,357,217,329,134,123,447,159,455, 9635 387,534,157, 68,374, 77,484, 65,293,288,390,518,363,527,337,364) 9636 ( 36,296,469,539,402, 79, 61)( 40,269,507, 88,175, 70,162) 9637 ( 43,271,180,167,453,334,471, 52,380,419,474,381, 63,502,313,360, 96, 9638 435,279,133,298,328,418, 71,314,315,176,416)( 53, 54, 82,319,368,154, 9639 158)( 59,350,199,148,215,256,160)( 83,246,454,437, 86,468,124,172, 9640 233,294,321,398,382,443,336,515,310,213,430,355,268,538,361,258,203, 9641 192,354,227)(191,276,459,250,210,467,196) ] ], 9642[ 7, 13063680, 0, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1, 9643 "PSU(4, 3).2^2", [ "2A", [ 3, 3 ], 1 ], 9644 [ ( 1,348, 23,136,191,508,382,362,367, 2)( 3,464,482, 70,124,451,407,330, 9645 144,474)( 4,110,371, 64,530,538, 28, 44,102, 15)( 5,209,452,313, 9646 119,319,363,250,333,457)( 6, 20,375, 46,357,491,189,223, 68, 56) 9647 ( 7,448,402,531,332,129,218,152,495, 78)( 8, 58,462,334,433,270,231, 9648 524,525,107)( 9,269,329,485, 98,142,479,106, 26, 37) 9649 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(174,492,430,498,366,456,304,393,345,293)(192,443,380,346,413,283,470, 9678 284,397,263)(215,437,392,350,379,394,314,339,502,257), 9679 ( 1,498,259,467)( 2, 88,399,212)( 3,389,267,449)( 4,396,483,240) 9680 ( 5,191, 21,453)( 6,401,380,100)( 7, 22,170,142)( 8, 32,221, 59) 9681 ( 9,474,198,230)( 10,124,316,491)( 11,375,524,233)( 12,499,475,252) 9682 ( 13,317,336,119)( 14,296,256,200)( 15, 37,109,136)( 16,421,516,402) 9683 ( 17,249,430, 47)( 18,476,298,125)( 19,376,145,405)( 20,368,455,465) 9684 ( 23,222,287,154)( 24,479,411,275)( 25,330,243,341)( 26,464,242,161) 9685 ( 27, 95,484, 62)( 28,508,394,373)( 29,140,219, 36)( 30,283,427,158) 9686 ( 31,313,201,101)( 33,122,521,159)( 34,440,192,244)( 35, 53,370,225) 9687 ( 38,530,169,310)( 39,152,188,539)( 40,369,312,356)( 41,167,207,503) 9688 ( 42, 81, 76, 57)( 43,128,538, 52)( 44,269,345,450)( 45, 85) 9689 ( 46,412,362,407)( 48,393,232,304)( 49, 55,504,512)( 50,500,481, 83) 9690 ( 51,216,208,532)( 54,189,353,265)( 56,278,156,237)( 58,496,155,254) 9691 ( 60,397,113,301)( 61,315,466,497)( 63,268,132, 84)( 64,292,202,460) 9692 ( 65,447,285,395)( 66,482,533,442)( 67,374,488,171)( 68,165,432,342) 9693 ( 69,300,206, 75)( 70,525,485,245)( 71,436,346,118)( 72,540,408,417) 9694 ( 73,377,528, 92)( 74,326,177,318)( 77,470,519,231)( 78,384,510,418) 9695 ( 79,123,151,273)( 80,363, 86,133)( 82,238,352,379)( 87,263,112,456) 9696 ( 89,403,205,211)( 90,425,218,422)( 91,179,327,339)( 93,163,490,270) 9697 ( 94,514,472,527)( 96,262,469,195)( 97,385,197, 98)( 99,434,274,172) 9698 (102,187,428,441)(103,480,515,420)(104,194,204,357)(105,143,501,193) 9699 (106,213,337,248)(107,382,108,495)(110,383,459,413)(111,462,247,424) 9700 (114,302,381,520)(115,271,148,492)(116,451,529,127)(117,199,494,261) 9701 (120,343)(121,378,223,392)(126,314,196,493)(129,291,349,468) 9702 (130,303,224,149)(131,186,286,398)(134,359,214,506)(135,279,217,461) 9703 (137,419,454,335)(138,416,354,185)(139,144,404,463)(141,289,299,328) 9704 (146,250,220,239)(147,387,264,180)(150,297,390,526)(153,322,371,307) 9705 (157,260,306,414)(160,255)(162,361,531,282)(164,288)(166,366,426,458) 9706 (168,308,400,183)(173,329,537,431)(174,258,215,347)(175,350,323,429) 9707 (176,513,333,410)(178,477,360,444)(181,227,226,182)(184,452,311,319) 9708 (190,351,391,334)(203,293,446,344)(209,338,517,229)(210,511,331,487) 9709 (228,423,305,535)(234,478,272,509)(235,309,332,340)(236,489,251,367) 9710 (241,324,388,290)(246,457,266,522)(253,277,505,276)(257,321) 9711 (280,471,518,534)(281,406)(284,439,355,486)(294,437,372,445) 9712 (295,364,409,358)(320,448,325,435)(348,438,386,365)(415,523,473,536) 9713 (433,507,502,443) ] ], 9714[ 8, 26127360, 0, "2", [ [ 224, 1 ], [ 63, 1 ], [ 252, 1 ] ], 1, 9715 "PSU(4, 3).D_8", [ "2A", [ 3, 3 ], 1 ], 9716 [ ( 1,301,214,483,449,168, 7,248,470,273)( 2,370, 23,191,322,265,400,233, 9717 229,216)( 3,516,298,231,463,303,448,480,537,377)( 4,494,121,439, 9718 481,180,349,317,493,217)( 5,150,171,536, 10, 57, 83, 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(107,422,209)(109,418,131)(112,119,507)(113,396,249)(115,222,307) 10149 (116,333,247)(117,186,524)(118,296,295)(120,490,124)(121,479,499) 10150 (122,304,358)(126,339,285)(133,150,558)(134,311,263)(135,368,176) 10151 (137,514,270)(138,243,505)(141,330,542)(142,351,284)(146,460,443) 10152 (147,239,556)(148,395,326)(149,518,300)(153,291,372)(157,416,393) 10153 (158,477,290)(159,458,322)(160,530,494)(162,266,288)(163,171,168) 10154 (164,535,538)(165,179,367)(166,344,380)(167,408,175)(172,282,255) 10155 (173,178,423)(177,543,529)(181,257,244)(185,221,447)(188,371,480) 10156 (189,446,407)(190,496,526)(192,195,469)(193,194,299)(196,432,504) 10157 (197,232,459)(198,275,557)(200,325,375)(201,397,315)(202,292,280) 10158 (203,519,517)(206,253,527)(208,271,361)(210,365,467)(213,259,399) 10159 (218,554,241)(219,500,251)(220,536,532)(224,265,352)(226,473,237) 10160 (227,245,482)(228,540,349)(229,353,294)(230,324,417)(233,478,454) 10161 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44, 82,300,442) 10406 ( 45,252, 89,420)( 47, 92,129,249)( 48,159, 67,553)( 49,127,292,458) 10407 ( 50,427,187, 70)( 51,408,172,277)( 53,481,451,268)( 55,480,246,353) 10408 ( 56,265,301,448)( 57, 66,519, 97)( 58, 60,374,298)( 59,167,262,361) 10409 ( 61,383,157,267)( 63,296,500,477)( 65,278)( 68,445,359,105) 10410 ( 71, 95,188,487)( 72,475,317,332)( 73,173,205,329)( 74,380,423,551) 10411 ( 76,497,394,366)( 77,156,489,450)( 80,344,259,169)( 81,346,491,200) 10412 ( 83,248,413,484)( 84,471, 88,397)( 85,395,168,483)( 86,521,123,474) 10413 ( 87,209,101,251)( 90,382,115,535)( 91,321,411,328)( 93,111,114,244) 10414 ( 94,161,496,330)( 98,357,219,182)( 99,446,218,410)(100,221,531,538) 10415 (102,212,118,311)(103,275,288,469)(104,335)(106,403,326,405) 10416 (107,511,203,566)(108,379,257,460)(109,351,337,202)(112,336,125,305) 10417 (117,316)(119,324,363,441)(120,170,225,197)(121,304,356,183) 10418 (128,495,376,135)(130,434,541,147)(131,146,462,439)(133,287,479,558) 10419 (134,340,546,255)(137,555,557,230)(139,407,294,501)(143,388,523,327) 10420 (144,250)(149,493,402,454)(152,184,398,350)(153,443,199,542)(154,554) 10421 (155,232,166,528)(158,224,297,562)(160,214,459,253)(162,315,389,387) 10422 (163,539,372,414)(164,174,271,341)(165,532,409,505)(171,486,280,365) 10423 (175,515,373,564)(177,548)(178,355,378,179)(181,192,241,552) 10424 (185,274,440,516)(189,263,473,540)(190,338,437,468)(191,428,438,238) 10425 (196,309,364,482)(198,377,561,215)(204,283,400,229)(206,567,266,227) 10426 (210,478,348,299)(211,522,401,223)(213,461,390,284)(217,368) 10427 (220,273,393,559)(222,444,415,264)(228,231,466,455)(235,494,430,534) 10428 (240,396,392,404)(256,530,510,270)(258,349,560,339)(260,526,514,432) 10429 (261,325,281,513)(269,520)(276,419)(279,456,358,385)(282,549,322,412) 10430 (285,302,429,307)(286,314,421,524)(290,371)(345,476,436,527)(347,543) 10431 (352,422,509,544)(362,563)(367,506,518,424)(369,425)(391,533)(418,490) 10432 (452,502,537,464), ( 1,454,133, 82,221,493,270)( 2,531, 99, 77,200, 10433 285,314)( 3,343,104,407,527,317,360)( 4,113,504,358, 47,242,147) 10434 ( 5, 63,365,289,169,134, 45)( 6,282,446,167,560,397,174) 10435 ( 7,194, 20,381,103,436,239)( 8,524,275,152,218,139,279) 10436 ( 9,301,465,146,321,178,376)( 10,528,141,564, 92,485,470) 10437 ( 11,324,258,256,269,231,251)( 12,161,483,411,525,456,549) 10438 ( 13,425,136,379, 93,515,348)( 14,394,363,535,140,563, 89) 10439 ( 15,149,566,212,263,422,523)( 16,426,156,165,254,272,318) 10440 ( 17,380,175,197,277,377,453)( 18,350,421,278,431,473,450) 10441 ( 19, 57, 81,102,480,237,240)( 21,552,545,353,417,296,447) 10442 ( 22,204,539,490,509,305,462)( 23,304, 38,404,131,372,118) 10443 ( 24,121,441,497,107, 40,173)( 25,418,163,252,328,341,248) 10444 ( 26,495,487,518,400, 84,503)( 27,402,160,359,298,124,393) 10445 ( 28, 60,333, 75,284, 85,116)( 29,310,101,478,538, 79,512) 10446 ( 30,150,427,323,108,273,356)( 31, 59, 73,388,406,225,508) 10447 ( 32,452,195,265,499, 55,172)( 33,170,505, 41,382,271,306) 10448 ( 34,207,190,414,185,457,155)( 35,127,501, 54,244,153,228) 10449 ( 36,320,319,264,260,219,506)( 37,330,236,346,217,126,557) 10450 ( 39,494,530,339,213,354,216)( 42,399,143, 52,464,288,111) 10451 ( 43,384,220,215,183, 65,442)( 44,307,383, 48,293,476,262) 10452 ( 46,516,291,475,267,105,352)( 49,443,188, 71,345,412,322) 10453 ( 50,520,303,451,196,234,409)( 51, 69,369,243, 95,241, 56) 10454 ( 53,550,463,311,403, 80,387)( 58,562,142,246,430,192,202) 10455 ( 61,247,405,300,125,342,159)( 62,466,391,461,122,513,189) 10456 ( 64,280,302,511,351,249, 98)( 66,162,332,479,357,433,502) 10457 ( 67,474,492,416,370,434,491)( 68,119,184,510,448,344,144) 10458 ( 70,444, 83,331,191, 76,533)( 72,308,498,337,238,176,123) 10459 ( 74,445,250,171,138,361,128)( 78,100,110,327,253,168,199) 10460 ( 86,555,187,325,151,435,567)( 87,292,455,565,222,395,181) 10461 ( 88,396,477,374,556,179,366)( 90,198,283,362,500,164,459) 10462 ( 91,522,410,261,245,230,117)( 94,547,413,214,375,154,193) 10463 ( 96,419,226,544,297,295,338)( 97,335,532,211,232,201,364) 10464 (106,482,428,158,551,548,486)(109,390,378,553,286,438,496) 10465 (112,281,385,368,309,471,559)(114,398,561,386,186,145,424) 10466 (115,210,401,255,440,316,367)(120,408,235,517,467,437,257) 10467 (129,259,534,312,468,203,130)(132,227,489,460,541,266,554) 10468 (135,536,347,519,166,182,299)(137,224,484,326,229,287,371) 10469 (148,334,329,205,458,542,488)(157,420,313,336,276,423,349) 10470 (177,449,429,340,373,540,546)(180,268,209,472,526,415,290) 10471 (206,355,274,514,208,392,481)(223,432,439,558,469,537,529) 10472 (233,521,389,315,294,543,507) ] ], 10473[ 2, 6531840, 0, "2", [ [ 320, 1 ], [ 30, 1 ], [ 96, 1 ], [ 120, 1 ] ], 1, 10474 "PSU(4, 3).2", [ "2A", [ 3, 3 ], 1 ], 10475 [ ( 1,494,333,399,312,321,268, 69,345,316,350,258)( 2,271,514,541,152,309, 10476 219,167,431,492,238,551)( 3,286, 74,329,115,283,527,473,466,236,378, 10477 357)( 4, 12,545,194,218,173,373,220, 50,201,282, 61) 10478 ( 5,515,274,102,156,221, 19, 32,255,141,459, 14)( 6,521,244, 81,266, 10479 95,382,356,531,327, 44,530)( 7,213,249,553,243,393,137, 39,428,157, 10480 216,381)( 8,471, 62,169, 63,331, 58,117,497,485,297,124) 10481 ( 9,432,131,386,434,467,235,186,228, 82,455,181)( 10, 66,537, 48, 98, 10482 510,280,318,234, 38,261, 35)( 11,300,491,410,196,366,565,122,153,289, 10483 552,299)( 13, 40,438,133, 88, 55,121,128,349,490,188,391) 10484 ( 15,365,161, 56, 25,328,210,368,112,369,211,198)( 16,209,423,340, 54, 10485 233,294,116,263,330,448, 26)( 17, 41,338,409, 24, 64,538,176,549,270, 10486 154,106)( 18,276,500,224,539,504,111,355,191,533,447,126) 10487 ( 20,360,353,205,147,222,400,343,443,148,546,506)( 21,422,461, 86,475, 10488 556, 85,149,413, 29,351,204)( 22,250, 37,301,543, 30,454,547,177,118, 10489 273,479)( 23,496,359,103,134,295,119,392,507,433,456,291) 10490 ( 27,293,279,564,178, 65,163,292, 53,486,262,548)( 28,140,175,130,187, 10491 411,322,526,101,390,151,168)( 31,179, 51,427,170,465) 10492 ( 33,341,558,195,113,476,387,402,135,136,458, 77)( 34,394,505,379,189, 10493 452,247,223,446,171,155,414)( 36, 78,256,231,495,477,127,245,370,404, 10494 287,363)( 42,336,192,313,237,520, 52,534,337,440,522,536) 10495 ( 43,420,290,129,468,535,253,566, 49,481,367,509)( 45,335,430,246,358, 10496 214,385,371, 72,397,540,185)( 46,182,374,567,325, 94,158,417,284,478, 10497 277,125)( 47,445,436,275,524,348,346, 93,484,550, 80,513) 10498 ( 57,174,493,377,429,139)( 59,559,317,298,555,435)( 60,159,269,450, 10499 519,146,347,138,120,401,563,314)( 67,418,415,285, 99,425, 87, 70,424, 10500 144,257,405)( 68,407,320,544,197,215)( 71,462,184,265,460,132,145, 10501 451,517,172,304,501)( 73,212,315,272,108,207,406,288,239, 76, 97,457) 10502 ( 75,324,278,463,383,528,561,344,464,560,376,419)( 79,217,354,104,123, 10503 554)( 83,408,227,240,241,160, 84,474,395,516,339,229) 10504 ( 89,502,489,453,230,416,396,232,372,310,480,264)( 90,503,529,449,542, 10505 296)( 91,421,110,525,150,487,183,259,226,482,252,426) 10506 ( 92,375,319,142,206,305,352,441,307,498,143,412)( 96,488,208,165,248, 10507 439,483,242,523,323,389,166)(100,311,114,511,107,342,442,308,303,281, 10508 361,499)(105,518,203,267,251,362,199,254,109,470,437,444) 10509 (162,164,326,302,260,388,532,364,332,384,200,508)(180,398,202,190,512, 10510 334,469,472,306,193,380,557)(225,562,403), 10511 ( 1, 66, 32,140,535, 60)( 2,191,491,193,424, 35)( 3,432,116,552, 61, 10512 526)( 4,434,401,488,339,354)( 5,114, 88,207,248,404) 10513 ( 6,470,319,306,403,135)( 7, 12,101,239, 78, 34)( 8,249,522,411, 10514 423,446)( 9,148, 57, 39,410,285)( 10, 73,549, 42,109,468) 10515 ( 11,545,254, 93, 38,355)( 13,234,444, 28,279,290)( 14,173, 72,267, 10516 52,201)( 15,156,155,195,426,132)( 16, 27,189,166,510,358) 10517 ( 17,327,476,120,165,245)( 18,223,238, 79,204,162)( 19,374,246, 58, 10518 408,293)( 20,465,398,209,405, 48)( 21,110,531,400,291,325) 10519 ( 22,539,188)( 23,190,145,260,351,272)( 24,108,187,117, 25, 64) 10520 ( 26,567,170,409, 86,326)( 29,384,416,309,495,412)( 30,295,379,399, 10521 372,431)( 31,158,304,261,297,388)( 33,474,496,194,342,353) 10522 ( 36,543,113,199, 56,557)( 37, 90,233,515, 89,208)( 40,487,212,534, 10523 448,390)( 41,451,363,477,196, 53)( 43, 76,231,126,206,481) 10524 ( 44,540,105, 95,373,402)( 45,237,112,349,251,262)( 46,232,151,302, 10525 559,406)( 47,341,163,513,430,428)( 49,345,523,367,255,505) 10526 ( 50,483,538,332,222,554)( 51,281,154,183,508,225)( 54,269,385,244, 10527 276,420)( 55,137,501,504,294,153)( 59,338,211,147,429,241) 10528 ( 62,393,220,277,407,139)( 63,216,102,307,300,169)( 65,346,455,371, 10529 266,541)( 67,507,125,159,381,115)( 68,392,274,394,268,516) 10530 ( 69,141,344,548,528,217)( 70,142,560,562,214,485)( 71,518,414,443, 10531 104,466)( 74,138,389,119,202,317)( 75,413,227,335,230,218)( 77, 98) 10532 ( 80,463,377,364,427,499)( 81,438,383,433,182,310)( 82,387,368,308, 10533 176,561)( 83, 99,391)( 84,467,314,134,352,171)( 85,160,340,143,459, 10534 380)( 87,514,564,550,553,464)( 91,530,511,284,529,461) 10535 ( 92,282,519,259,566,253)( 94,360,179,121,396,362)( 96,275,328,361, 10536 524,563)( 97,469,397,167,558,425)(100,366,337,497,482,243) 10537 (103,452,439,532,458,228)(106,299,527,197,555,315)(107,136,124,312, 10538 129,224)(111,128,252,288,177,283)(118,475,161,418,445,395) 10539 (122,331,546,517,273,257)(123,198,478)(127,436,348,537,229,542) 10540 (130,133,200,450,278,256)(131,500,480,175,164,330)(144,551,320,292, 10541 456,168)(146,210,376)(149,280,213,334,286,370)(150,378,486,311,271, 10542 185)(152,174,157,565,472,447)(172,525,369,442,303,520) 10543 (178,484,305,509,265,321)(180,435,556,240,264,359)(181,329,503,506, 10544 205,357)(184,323,350,437,219,236)(186,547,343)(192,270) 10545 (203,489,235,544,460,422)(215,502,322,457,258,492)(221,454,453,471, 10546 324,298)(226,419,287,512,493,333)(242,494,289,263,490,421) 10547 (247,521,498,462,382,365)(250,415,318,441,356,417)(296,386) 10548 (313,440,533,375,316,336)(347,536)(449,473,479) ] ], 10549[ 3, 6531840, 0, "2", [ [ 320, 1 ], [ 30, 1 ], [ 96, 1 ], [ 120, 1 ] ], 1, 10550 "PSU(4, 3).2", [ "2A", [ 3, 3 ], 1 ], 10551 [ ( 1,546,526,558,156, 7,237,131,297,222,207, 13,352,527,291, 36,475,410) 10552 ( 2,204,450,415,384,206,164,231,553,113,452,513,512,423,306,287,191, 10553 162)( 3,562,143,487,464,105,385,405,408,153,520,567,263,269,289,299, 10554 214,530)( 4,215,312,469,192,270, 97,503,283,199,482,508, 33,197,173, 10555 483,281,366)( 5,332,354,545, 62, 47,426,417,170, 38, 95, 76,445,329, 10556 377, 99,114,238)( 6,523, 35,135,190,434,514,210, 87,506,432,466,130, 10557 505,218,127,241, 20)( 8,189,136,422,374,166,411, 84,174,235, 85,413, 10558 473, 21, 9,123,421,168)( 10,280, 86,461,188,529, 80,286,402) 10559 ( 11,418,102,161, 37,416, 26,179,368)( 12,477,245,274,244,100,112,378, 10560 119, 82,220,433,386, 31, 90,288,496,240)( 14,279,406,371, 28,122,485, 10561 372,343, 65,239,474,468, 45,151,547,148,436)( 15,120,476,275,536, 81, 10562 389,533, 89,388, 43,497,334,403, 74, 19,232,180)( 16,150,559,364,172, 10563 258,320,337,126, 42,480,375,230,380,347,511,407,367)( 17,129,260,336, 10564 472,509,470, 39,394)( 18,178, 70,308,393,369,381, 68,276,516,330,564, 10565 125, 23,465,111,442,142)( 22,524,331, 30,439,429, 57, 58,453,399, 88, 10566 454,285,304, 55,391,460,563)( 24,195,471,479,317,310,117,149,490) 10567 ( 25,396,321,248,229,548,159,540,376, 44,342,250, 64, 27,305,277,517, 10568 335)( 29,449,246,155,284,397,544,341,133, 71, 91,124, 72,430,316,183, 10569 146,154)( 32,255,362,427,359,301,264,531,118,355,363,365, 56,233,515, 10570 177, 59,498)( 34,226,467,535,193,140,213,500,251)( 40,414,539,518, 10571 459,360,534,339, 63,538,138,510,198,209,307,344,350,373) 10572 ( 41,428,201,271,541,309,261,247,203)( 46,234,566,315,160,196,302,349, 10573 109,175,236,551,186,295,176,257,202, 98)( 48,401,398,457, 73,481,322, 10574 499,200,106,282,223,256,326,492,357,387,249)( 49,121,489,502,300,228, 10575 313,532,404)( 50,157,267,318,182,560,205,184,549)( 51,268,542,431, 10576 139,361,443,390,294,272, 54,525,132,152,265, 92,353,219) 10577 ( 52,333,319,424, 66,456,252,557,537,458,370,451,107,356,181,495,101, 10578 77)( 53,278,484,345,419,455,556,293,137,208,292,462,147,440,348,325, 10579 253,163)( 60,522,273,561,555,494,543,382,504,169,501,221,435,346,298, 10580 412,448,383)( 61,108,194,211, 67,488,351,187,167)( 69,550,437,217, 10581 110,478, 75,491,447,554,158,165,441,227,438,104,116,327) 10582 ( 78,311,486,262,243,141,296,340,444)( 79,565,103,507,392,216,115,212, 10583 94)( 83,144,145,314,519,259,171,493,379)( 93,425, 96,409,224,303,395, 10584 225,323)(128,242,324,463,552,328,254,420,338)(134,521,528,400,266, 10585 185,358,446,290), ( 1, 64,305,409,162,262)( 2,555, 91,517,101,524) 10586 ( 3, 60,441,539,312,306)( 4,114,318,237,415,226)( 5,207,471,383, 10587 353, 86)( 6,566,275,558,133,308)( 7,169, 67,173,259,346) 10588 ( 8,390,545,365,280,565)( 9,355,164,385,398,197)( 10,255, 76, 13, 10589 30, 79)( 11,439, 47, 15,148,341)( 12,382,510,165,125,317) 10590 ( 14,463, 20,363, 58,414)( 16,531,391,511,282,492)( 17, 65,357, 68, 10591 430,450)( 18,375,518,371,386,519)( 19, 39,184,309,263,373) 10592 ( 21,484,515,453,530,244)( 22,372,234,313,299,478)( 23, 44,436,233, 10593 337,222)( 24,352,251,206,364,540)( 25,416,272,446, 28,107) 10594 ( 26,322,417,104,288, 50)( 27,111,500,444,350,512)( 29,491,520,208, 10595 239,516)( 31,105,494,338,190,235)( 32,479, 70,550,536,410) 10596 ( 33, 66,151,290,506,507)( 34,116,461,367,424,150)( 35,395,217,356, 10597 113, 80)( 36, 48,117,205,136,406)( 37,123, 96, 55, 61, 84) 10598 ( 38, 85,121,310, 81,525)( 40,194, 49,464,425,213)( 41,432, 74,563, 10599 362,268)( 42,502,452,291,370,243)( 43,547,449,423,481,521) 10600 ( 45,307,548,258,388,434)( 46,477,421)( 51,564,146, 92,109,236) 10601 ( 52,250,144,526,474,195)( 53,267,326,377,397,380)( 54,496,408,422, 10602 505,271)( 56,252,349,560,147,448)( 57,486,154,319,292,384) 10603 ( 59,366,153,495,330, 83)( 62,379,192,528,396,248)( 63,140,266,325, 10604 404,108)( 69,159,316,329,126,399)( 71,340,166,438,360,172) 10605 ( 72,321,199,138,314,193)( 73,440,483,304,274,553)( 75,354,311,229, 10606 77,102)( 78,145,369,537,458,284)( 82,174,270,345,214,191) 10607 ( 87,201,135,413,256,112)( 88,561,405,157,551,451)( 89,523,541,265, 10608 331,301)( 90,462,189,361,428,241)( 93,552,160,556,387,509) 10609 ( 94,454,546,294,240,402)( 95,161,376,230,281,535)( 97,488,127,431, 10610 554,171)( 98,158,359,468,419,489)( 99,289,103,323,100,221) 10611 (106,447,260,215,465,246)(110,514,403,480,342,198)(115,279,467,347, 10612 181,407)(118,400,245,490,220,211)(119,210,324,298,348,374) 10613 (120,202,466,544,178,332)(122,522,278,503,204,534)(124,264,457,460, 10614 442,209)(128,499,295,336,389,487)(129,513,155,459,381,482) 10615 (130,420,327,339,177,285)(131,504,473,358,286,455)(132,218,187,287, 10616 141,343)(134,426,475,303,152,542)(137,351,567,529,476,392) 10617 (139,180,179,532,378,527)(142,412,469,427,333,335)(143,302,429) 10618 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Factorial(572),0,"2",[[571, 1]],572, "Sym(572)", ["A",572, 1], "Sym"]]; 10841PRIMGRP[573]:= 10842[[1, Factorial(573)/2,1,"2",[[572,1]],571, "Alt(573)", ["A",573, 1], "Alt"], 10843[2, Factorial(573),0,"2",[[572, 1]],573, "Sym(573)", ["A",573, 1], "Sym"]]; 10844PRIMGRP[574]:= 10845[[1, Factorial(574)/2,1,"2",[[573,1]],572, "Alt(574)", ["A",574, 1], "Alt"], 10846[2, Factorial(574),0,"2",[[573, 1]],574, "Sym(574)", ["A",574, 1], "Sym"], 10847[ 3, 34440, 1, "2", 10848 [ [ 20, 2 ], [ 5, 1 ], [ 6, 1 ], [ 60, 7 ], [ 12, 1 ], [ 30, 3 ] ], 1, 10849 "PSL(2, 41)", [ "L", [ 2, 41 ], 1 ], 10850 [ ( 1, 2, 3, 5, 8, 14, 25, 43, 74,126,207,309,438,535,538,564, 62,108, 10851 147,161)( 4, 7, 12, 21, 37, 63,109,181,285,415, 73,125,205,173,272, 10852 311,440,463,547,124)( 6, 10, 18, 32, 55, 95,160,253,329,322,353,349, 10853 469,551,540,539,442,395,502,515)( 9, 16, 29, 50, 87,146,233,356,347, 10854 270,396,245,371,165,261,387,433,167,264,390)( 11, 20, 35, 59,102,171, 10855 269,394,501,120,199,307,436,339,388,414,439,517,252,240) 10856 ( 13, 23, 41, 70,119,198,305,435,533,570,412,516,345, 17, 31, 53, 91, 10857 154,211,321)( 15, 27, 47, 81,137, 99,166,263,389, 26, 45, 78,133,217, 10858 328,271,397,445,110, 24)( 19, 33, 57, 98,164,259,209, 79,134,183,256, 10859 71,121,200,266,391,420,520,372,407)( 22, 39, 67, 30, 51, 86,144,230, 10860 64,111,184,288,260,368,480,558,465, 44, 76,130)( 28, 49, 85,143,228, 10861 348,320,135,153,243, 96,162,255,381,326,117,195,302,432,456) 10862 ( 34, 58,100,168,265,206,316, 92,156,248,180,283, 84,142,227,346,467, 10863 549,365,122)( 36, 61,106,177,278,406,511,295,428,284,204,201,310,403, 10864 141,226,344,466,548,392)( 38, 65,113,187,293,308,366,481,370,221,334, 10865 434,531,554,571,472,498,536,468,550)( 40, 69,118,196,304,291,423,525, 10866 89,150,239,364,477, 52, 90,152,105,176,276,250)( 42, 72,123,202,262, 10867 197,229,350,235,358,474,526,427,129, 48, 83,140,225,342,382) 10868 ( 46, 80,136,219,317,218,330,315,431,485,560,546,343,151,241,367,482, 10869 559,258,384)( 54, 93,157,249,376,488,254,380,454,479,497,453,182,286, 10870 398,379,491,385,495,561)( 56, 97,163,257,383,494,242,341,464,355,306, 10871 425,127,190,277,404,509,303,103,172)( 60,104,174,273,399,216,244,234, 10872 357,471,527,375,331,457,378,492,507,448,529,569)( 66,115,191,297,429, 10873 530,314,214,324,451, 94,159,145,232,354,377,490,267,393,499) 10874 ( 68,112,186,292,424,416,319,447,522,461,170,268,333,459,545,274,139, 10875 224,340,462)( 75,128,210,312,441,537,400,493,192,298) 10876 ( 77,132,215,325,452,543,362,231,352,386,489,534,556,512,566,335,194, 10877 301,188,294)( 82,138,222,336,460,508,562,573,510,565,203,313,443,437, 10878 208,318,446,500,563,574)( 88,148,236,359,220,332,107,178,280,409,101, 10879 155,246,373,279,408,369,484,405,169)(114,189,296,351,470,542,496,514, 10880 567,483,444,487,458,149,238,363,478,557,402,506)(116,193,299,337) 10881 (131,213,323,449,541,185,290,421,521,410,513,418,518,175,275,401,504, 10882 552,532,430)(158,251,300,327,455,360,475,505,473,553,572,524,422,523, 10883 237,361,476,555,568,426)(179,282,413,281,411,223,338,247,374,486,544, 10884 528,212,289,419,519,287,417,503,450), 10885 ( 1, 2, 4)( 3, 6, 11)( 5, 9, 17)( 7, 13, 24)( 8, 15, 28) 10886 ( 10, 19, 34)( 12, 22, 40)( 14, 26, 46)( 16, 30, 52)( 18, 32, 56) 10887 ( 20, 36, 62)( 21, 38, 66)( 23, 42, 73)( 25, 44, 77)( 27, 48, 84) 10888 ( 31, 54, 94)( 33, 55, 96)( 35, 60,105)( 37, 64,112)( 39, 68,117) 10889 ( 41, 71,122)( 43, 75,129)( 45, 79,135)( 47, 82,139)( 49, 86,145) 10890 ( 50, 88,149)( 51, 89,151)( 53, 92,106)( 57, 99,167)( 58,101,170) 10891 ( 59,103,173)( 61,107,179)( 63,110,183)( 65,114,190)( 67,116,194) 10892 ( 69,104,175)( 70,120,119)( 72,124,204)( 74,127,209)( 76,131,214) 10893 ( 78,133,102)( 80, 95,161)( 81,130,212)( 83,141, 97)( 87,147,235) 10894 ( 90,153,244)( 91,155,247)( 93,158,189)( 98,165,262)(100,169,267) 10895 (108,180,284)(109,182,287)(111,185,291)(113,188,295)(115,192,187) 10896 (118,197,249)(121,201,311)(123,203,314)(125,206,317)(126,208,319) 10897 (128,211,322)(132,216,327)(134,218,207)(136,220,333)(137,221,335) 10898 (138,223,339)(140,198,306)(143,229,263)(144,231,353)(146,234,186) 10899 (148,237,362)(150,240,366)(152,242,369)(154,245,372)(157,250,166) 10900 (159,252,378)(160,254,324)(162,256,382)(163,258,181)(164,260,386) 10901 (168,266,392)(171,270,298)(172,271,305)(174,274,400)(176,277,405) 10902 (177,279,374)(178,281,412)(184,289,420)(191,246,213)(193,300,430) 10903 (195,303,433)(196,243,370)(199,308,268)(200,309,439)(202,312,442) 10904 (205,315,396)(210,320,265)(215,326,454)(217,329,367)(219,331,451) 10905 (222,337,238)(224,341,465)(225,343,342)(226,345,233)(227,347,257) 10906 (228,349,310)(230,351,394)(232,355,472)(236,360,282)(239,365,480) 10907 (241,368,483)(248,375,487)(251,377,491)(253,379,462)(255,359,296) 10908 (259,385,496)(261,388,285)(264,358,328)(269,395,344)(272,398,503) 10909 (273,340,463)(275,402,507)(276,403,508)(278,407,356)(280,410,514) 10910 (283,414,509)(286,416,516)(288,418,429)(290,422,524)(292,425,527) 10911 (293,426,528)(294,427,529)(297,384,484)(299,401,505)(301,431,488) 10912 (304,434,532)(307,437,534)(313,444,539)(316,445,540)(318,323,450) 10913 (321,448,352)(325,453,518)(330,456,383)(332,458,501)(334,421,522) 10914 (336,461,406)(338,404,510)(346,468,363)(348,415,517)(350,457,544) 10915 (354,471,552)(357,473,419)(361,477,443)(364,479,455)(371,485,436) 10916 (373,478,547)(376,489,494)(380,423,526)(381,493,549)(387,482,537) 10917 (389,497,525)(390,498,490)(391,464,535)(393,500,475)(397,408,512) 10918 (399,476,556)(409,504,447)(411,515,492)(413,467,446)(417,474,554) 10919 (424,469,460)(428,432,435)(438,531,452)(440,536,567)(441,538,533) 10920 (449,542,569)(459,546,481)(466,548,559)(470,520,565)(486,558,553) 10921 (495,557,511)(499,562,523)(502,550,519)(506,564,563)(521,568,555) 10922 (530,570,574)(543,560,573)(545,561,572)(551,571,566) ] ]]; 10923PRIMGRP[575]:= 10924[[1, Factorial(575)/2,1,"2",[[574,1]],573, "Alt(575)", ["A",575, 1], "Alt"], 10925[2, Factorial(575),0,"2",[[574, 1]],575, "Sym(575)", ["A",575, 1], "Sym"]]; 10926PRIMGRP[576]:= 10927[[ 1, 119876641829683200, 0, "4c", [ [ 529, 1 ], [ 46, 1 ] ], 1, 10928 "M_24 wreath Sym(2)", [ "Spor", "M(24)", 2 ], 10929 [ ( 1, 90,159,413, 61,336,119,526,499, 36,208,368,246,188,127,285,442,338, 10930 563,292,393,473,230,531)( 2,570,148,389, 65,240, 99, 22,498,156,197, 10931 56,264,116,142,501,444,194,560,244,404,137,237,435)( 3, 18,162,149, 10932 53, 72,120,118,502,492,204,200,248,260,140,141,453,434,554,556,388, 10933 401,233,219)( 4,402,161,221, 51, 24,114,166,485, 60,216,104,262,500, 10934 132,213,440,242,572,124,405,449,218,555)( 5, 66,168,101, 70,504,108, 10935 214,488,252,212,128,261,452,122,573,436,386,569,220,387, 17,234,147) 10936 ( 6,186,151,269, 58,360,107,310,489,468,206,536,241, 92,135,429,445, 10937 314,575,508,403, 41,232,363)( 7,282,154,341, 59,312,105,478,494,540, 10938 193, 80,255,428,133,333,455,506,571, 28,400,377,222,171) 10939 ( 8,258,164,125, 69,456, 98,574,484,396,209,224,243, 20,138,165,437, 10940 50,576,100,406,497,228,195)( 9,474,158,533, 49, 96,111,430,493,324, 10941 215,512,259, 44,136,381,438,170,559,268,394,353,227,291) 10942 ( 10,354,155,293, 57,480,110,550,481, 84,207,416,253,332,143,525,451, 10943 26,568,364,390,185,223,267)( 11,306,153,461, 62,552, 97, 94,495,420, 10944 205,320,263,524,139, 45,448,362,558,172,391,281,226,339) 10945 ( 12,210,152,245, 68,144,117,454,482,564,196,392,257,236,123, 21,450, 10946 146,557, 52,408,113,238,483)( 13,330,167,509, 67, 48,112,382,486,180, 10947 199,272,250,356,131,309,441,458,566,532,385, 89,231,411) 10948 ( 14,546,145, 77, 63,432,109,334,503,516,211, 32,256,380,126,189,439, 10949 266,562,340,395,305,225,459)( 15,426,157,317, 71,528,115, 46,496,372, 10950 198,176,247,284,130,357,443,290,561,460,398,545,217, 75) 10951 ( 16,378,150,173, 55,288,106,358,491,300,201,464,254,548,121, 93,447, 10952 410,565,316,407,521,235, 27)( 19, 42,160,365, 54,192,103,286,490,348, 10953 203,296,249,476,134,549,433, 74,567,412,397,329,239,507) 10954 ( 23,522,163, 29, 64,384,102,190,487,276,202,344,251,308,129,477,446, 10955 530,553, 76,399,425,229,315)( 25, 88,375,414,181,319,287,514,355, 35, 10956 304,369,462,182,535,265, 82,351,419,301,321,479,518,547) 10957 ( 30,184,367,270,178,343,275,298,345,467,302,537,457, 86,543,409, 85, 10958 327,431,517,331, 47,520,379)( 31,280,370,342,179,295,273,466,350,539, 10959 289, 81,471,422,541,313, 95,519,427, 37,328,383,510,187) 10960 ( 33,472,374,534,169, 79,279,418,349,323,311,513,475, 38,544,361, 78, 10961 183,415,277,322,359,515,307)( 34,352,371,294,177,463,278,538,337, 83, 10962 303,417,469,326,551,505, 91, 39,424,373,318,191,511,283) 10963 ( 40,376,366,174,175,271,274,346,347,299,297,465,470,542,529, 73, 87, 10964 423,421,325,335,527,523, 43), 10965 ( 1, 25,433)( 2, 46,444, 3, 39,434, 22, 36,435, 15, 26,454, 12, 27, 10966 447)( 4, 43,443, 18, 29,436, 19, 35,450, 5, 28,451, 11, 42,437) 10967 ( 6, 30,438)( 7, 31,439)( 8, 40,456, 9, 45,440, 16, 48,441, 21, 10968 32,448, 24, 33,453)( 10, 41,446, 23, 37,442, 17, 38,455, 13, 34,449, 10969 14, 47,445)( 20, 44,452)( 49,553,289,481,337,241,217,265,529,361,169, 10970 193,409,313,145)( 50,574,300,483,351,242,238,276,531,375,170,214,420, 10971 315,159)( 51,567,290,502,348,243,231,266,550,372,171,207,410,334,156) 10972 ( 52,571,299,498,341,244,235,275,546,365,172,211,419,330,149) 10973 ( 53,556,307,491,354,245,220,283,539,378,173,196,427,323,162) 10974 ( 54,558,294,486,342,246,222,270,534,366,174,198,414,318,150) 10975 ( 55,559,295,487,343,247,223,271,535,367,175,199,415,319,151) 10976 ( 56,568,312,489,357,248,232,288,537,381,176,208,432,321,165) 10977 ( 57,573,296,496,360,249,237,272,544,384,177,213,416,328,168) 10978 ( 58,569,302,503,349,250,233,278,551,373,178,209,422,335,157) 10979 ( 59,570,293,484,355,251,234,269,532,379,179,210,413,316,163) 10980 ( 60,555,303,482,358,252,219,279,530,382,180,195,423,314,166) 10981 ( 61,562,305,494,359,253,226,281,542,383,181,202,425,326,167) 10982 ( 62,575,301,490,353,254,239,277,538,377,182,215,421,322,161) 10983 ( 63,554,310,492,339,255,218,286,540,363,183,194,430,324,147) 10984 ( 64,576,297,501,344,256,240,273,549,368,184,216,417,333,152) 10985 ( 65,566,311,493,346,257,230,287,541,370,185,206,431,325,154) 10986 ( 66,557,292,499,347,258,221,268,547,371,186,197,412,331,155) 10987 ( 67,563,306,485,340,259,227,282,533,364,187,203,426,317,148) 10988 ( 68,572,308,500,356,260,236,284,548,380,188,212,428,332,164) 10989 ( 69,560,304,504,345,261,224,280,552,369,189,200,424,336,153) 10990 ( 70,564,291,495,338,262,228,267,543,362,190,204,411,327,146) 10991 ( 71,565,298,497,350,263,229,274,545,374,191,205,418,329,158) 10992 ( 72,561,309,488,352,264,225,285,536,376,192,201,429,320,160) 10993 ( 74, 94, 84, 75, 87)( 76, 91, 83, 90, 77)( 80, 88, 96, 81, 93) 10994 ( 82, 89, 86, 95, 85)( 97,505,121,385,457)( 98,526,132,387,471) 10995 ( 99,519,122,406,468)(100,523,131,402,461)(101,508,139,395,474) 10996 (102,510,126,390,462)(103,511,127,391,463)(104,520,144,393,477) 10997 (105,525,128,400,480)(106,521,134,407,469)(107,522,125,388,475) 10998 (108,507,135,386,478)(109,514,137,398,479)(110,527,133,394,473) 10999 (111,506,142,396,459)(112,528,129,405,464)(113,518,143,397,466) 11000 (114,509,124,403,467)(115,515,138,389,460)(116,524,140,404,476) 11001 (117,512,136,408,465)(118,516,123,399,458)(119,517,130,401,470) 11002 (120,513,141,392,472) ] ], 11003[ 2, 192478109606665638469868501076483558604800000000, 0, "4c", 11004 [ [ 529, 1 ], [ 46, 1 ] ], 1, "Alt(24) wreath Sym(2)", [ "A", 24, 2 ], 11005 [ ( 1,353, 88,524,158,387,246, 69,480,556,362,540,495,101,239,319,282,297, 11006 179, 46,445,128)( 2,545, 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129,169,358,448,512)( 15,113, 95,332,162,291,251, 45,469,124,361,348, 11021 496,509,230,391,270, 57,192,574,434,536)( 16,521, 86,404,150, 51,264, 11022 573,458,532,375,108,503,317,234,295,275, 33,181,142,433,344) 11023 ( 18,305, 83, 44,157,123,241,357,472,508,374,396,486, 53,240,559,266, 11024 537,183,118,455,320)( 19,425, 91,428,163,411,259,429,475,412,379,420, 11025 499,413,235,415,283,417,187,430,451,416)( 20,161, 75,260,165,459,244, 11026 381,468,484,365,228,487,269,225,175,286,441,176, 22,449, 80) 11027 ( 23,329, 90,308,155, 27,253,141,457,340,376,516,494,389,222, 55,288, 11028 561,170,550,447,104)( 24,569, 74,548,159, 99,263,333,474,292,371, 36, 11029 493,125,217,343,280,513,182,406,438, 56)( 25,349,136,505,350,400,510, 11030 62,408,558, 50,552,567, 98,551,327,114,311,323, 42,301,131) 11031 ( 26,541,135, 97,359,328,522,302,395, 30, 61,144,553,338,544,519,110, 11032 407,318, 66,312,563)( 34,205,130,193,346,208,514,206,394,198, 58,216, 11033 562,194,538,207,106,215,322,210,298,203)( 35, 37,133,121,337,352,520, 11034 518,398,390, 54, 72,576,554,530,543,111,119,335,330,306,299) 11035 ( 38,397,126, 49,360,568,506,542,399,102, 71,336,570,290,539, 39,109, 11036 143,313,354,304,515)( 40,517,134,385,342, 64,528,566,386,534, 63,120, 11037 575,314,546,303,107, 47,325,138,289,347)( 43,421,139,409,355,424,523, 11038 422,403,414, 67,432,571,410,547,423,115,431,331,426,307,419) 11039 ( 48,565,122,529,351,112,527,326,402,294, 59)(211,418), 11040 ( 1,329, 66,274,177,168,531,231, 79,260,141,433,320,570,266,513,158, 11041 363,228,463,244,357,448,488,557,194,526,422,379,396,462, 4,353, 64, 11042 490,173,216,550,423, 91,404,126)( 2,521, 62,370,180,480,532,351, 88, 11043 500,125,193,334,426,283,393,150, 3,233, 55,250,189,456,536,567, 74, 11044 524,134,361,324,474,268,345,160,483,221,199,262,429,451,392,558) 11045 ( 5,209, 70,418,187,408,534, 15, 89, 68,130,169,336,546,279, 81,164, 11046 123,217,319,258,285,441,152,555,218,511,254,381,444,464,556,338,520, 11047 494,365,204,478,412,355,400,486)( 6, 17, 65, 58,178,192,552,543, 87, 11048 92,140,121,313,330,282,273,153,147,219,223,247,261,453,440,560,554, 11049 506,518,374,372,468,460,340,352,496,485,197,214,430,427,403,390) 11050 ( 7,257, 69,442,176,576,530,519, 86,380,132,457,316,354,280,489,149, 11051 195,238,415,259,405,438, 8,569, 50,514,182,384,540,471, 76,356,136, 11052 481,317,210,286,417,163,387,222)( 9,161, 51,226,175,264,549,447, 80, 11053 572,122,505,326,378,276,465,148,339,232,487,245,213,454,416,571,386, 11054 510, 14,377, 60,466,172,360,544,495, 77,212,142,409,331,402,270) 11055 ( 10,185, 72,538,183, 96,548,135, 73,332,138,265,321,162,267,225,151, 11056 243,237,439,248,573,434,512,566,362,516,470,364,348,472,484,341,208, 11057 502,413,211,406,414, 19,401, 54)( 11, 41, 61,106,191,312,539, 39, 85, 11058 116,143,289,323, 42,277,105,167,291,227, 31,253,117,455,296,563, 26, 11059 517,110,383,300,467, 28,349,112,503,293,203, 46,421,115,407,294) 11060 ( 12,473, 52,346,184,504,533,207, 94,428,139,385,318, 18,281, 57,154, 11061 171,240,535,255, 93,452,128,553,314,522,278,369,156,459,220,343,256, 11062 501,437,200,574,410,523,398,366)( 13,113, 71,298,179, 48,541,111, 95, 11063 308,131, 25,325,114,287,297,155, 27,229,103,263,309,443, 32,565, 98, 11064 527,302,371, 36,469,100,359,304,491, 29,205,118,431,307,395, 30) 11065 ( 16,497, 53,202,190,432,547,399, 78, 20,137, 49,322,186,288,537,159, 11066 75,236,127,241,333,450,272,561,146,507,230,367,252,477,436,344,568, 11067 482,509,206,382,420,475,388,342)( 21,449, 56,562,170,528,542,375, 84, 11068 476,124,337,328,498,269,201,166,411,235,391,246)( 22,425, 67,394,174, 11069 24,545, 63, 82,188,144,529,327, 90,284,129,145,315,234,271,249,165, 11070 435,224,559,242,525,446,368,564,458,508,350,376,492,461,196,358,424, 11071 499,389,198)( 23,305, 59, 34,181,120,551,303, 83, 44,133, 97,335,306, 11072 275, 33,157, 99,239,295,251, 45,445,104,575,290,515, 38,373,108,479, 11073 292,347, 40,493,101,215,310,419, 43,397,102)( 35, 37,109,119,311,299) 11074 ( 47,301,107) ] ], 11075[ 3, 384956219213331276939737002152967117209600000000, 0, "4c", 11076 [ [ 529, 1 ], [ 46, 1 ] ], 1, "Alt(24)^2.2^2", [ "A", 24, 2 ], 11077 [ ( 1,322,460,111,291,481,321,412,109,339,494,129,426,229,358,398,122,450, 11078 240,550,389, 26,440,528,539,245, 45,368,510,179,256,213,367, 54,191, 11079 160,204,271, 67, 95,161, 12,274,475, 87,305)( 2,442,480,543,293, 25, 11080 320,508,107,243,501,369,414,181,352,206,127, 66,239,166,396,266,451, 11081 96,545, 5, 34,464,519,299,241,333,364,102,171,496,201,415, 61,359, 11082 158,132,282,235, 94,401)( 3,490,465,423,301,337,326,124,114,219,502, 11083 393,410,445,360,542,125, 42,224,526,395,242,453,384,534,173, 40,200, 11084 511, 59,263,165,372,270,187, 88,209, 7, 58,479,159,300,265,331, 76, 11085 113)( 4,106,459,495,297,409,325,340,110,123,498,225,430,397,338,446, 11086 144,546,221, 46,392,506,443,264,549,365, 30,176,520,203,247, 69,383, 11087 150,180,280,211, 79, 65, 23,154,468,279,307, 73,329)( 6,178,472,207, 11088 295, 49,335,148,108,267,499, 81,425, 13,346,470,135,306,217,334,388, 11089 98,435,504,537,413, 37,344,518,131,258,237,382,390,170,448,216,535, 11090 53, 47,152,516,275,259, 93,377)( 8,514,467,255,309,361,318,172,112, 11091 195,487, 57,431,157,348,278,139, 90,233, 22,394,458,447,312,529,317, 11092 28,104,507,491,249,429,373,342,182,136,210,223, 70,407,146,444,288, 11093 547, 77, 41)( 9,418,469,351,302,121,330,220,118,387,482,441,432,541, 11094 341, 38,128,522,227,262,405,362,438,192,544,197, 31, 56,527,155,252, 11095 285,379, 78,185, 16,202,463, 63,311,145,324,268,115, 75,497) 11096 ( 10,466,471,303,289,313,316,100, 99,483,489,417,421,349,350,134,138, 11097 234,238,406,386,434,456,552,533, 29, 32,512,515,251,261,381,366,174, 11098 184,208,199, 55, 71,167,156,276,283, 91, 89, 17)( 11,250,477,375,294, 11099 169,328,196,103, 51,503,153,420,277,355, 86,137, 18,226,478,399,290, 11100 433,336,532,101, 27,488,513,419,253,357,374,126,186,232,214,391, 50, 11101 455,168,540,269, 43, 80,521)( 14,130,474,231,310,385,314,436,120,531, 11102 485, 33,416,517,347,254,141,378,222,190,400,194,439, 72,551,149, 36, 11103 272,523, 83,257, 21,370,462,183,304,193,319, 52,119,147,492,273,427, 11104 85,353)( 15,298,457,327,292, 97,315,484,105,411,493,345,422,133,354, 11105 230,142,402,218,454,408,530,437, 48,536,509, 35,248,525,371,246,189, 11106 376,198,175, 64,215,151, 60,287,163, 84,281, 19, 82,473) 11107 ( 20,562,476,567,308,553,332,556,116,555,500,561,428,565,356,566,140, 11108 570,236,574,404,554,452,576,548,557, 44,560,524,563,260,573,380,558, 11109 188,568,212,559, 68,575,164,564,284,571, 92,569)( 24,538,461, 39,296, 11110 505,323,244,117,363,486,177,424,205,343, 62,143,162,228,286,403, 74, 11111 449), ( 1,533,239,482,418,470,112,515,564,285,209,148,253, 81,450, 11112 192, 39,320,291,337,547, 71,487, 10,461,232,506,420,278,113,155,565, 11113 93,210,172,255,321,435,360, 43, 56,295)( 2,413,230, 98,419,566,117, 11114 203,556,261,201,436,264, 33,440,312, 25,536,311,481,538,479,496,514, 11115 468,280,521,156,277, 89,162,181, 87,330,171,351,331, 51,343, 19, 53, 11116 223)( 3,341,235, 50,415, 14,101,227,554,429,206,100,251,561,453,216, 11117 28,248,297,433,552, 47,488,298,457,544,527,492,274,473,160,517, 84, 11118 282,185,159,325, 75,354,187, 63,319)( 4,245,225,434,432, 38,104,299, 11119 553,549,215,484,250,465,448,528, 36,272,305,145,541, 95,498,178,471, 11120 328,507,348,283, 65,151, 13, 77,234,170,423,326, 99,347,571, 69,199) 11121 ( 5,221,218,410,422,110,107,563,573,213,196,244,249,441,456, 48, 32, 11122 296,289,529,551,503,490,466,472,520,516,276,281,161,157, 85, 90,186, 11123 183,327,315,339,355, 67, 55, 7)( 6,125,236,386,430,374,102,131,572, 11124 405,214,364,246,129,452,408, 46,368,294,121,548,407,502,370,462,136, 11125 524,396,286,377,150,133, 92,402,190,375,318,123,356,403, 70,367) 11126 ( 8,293,217,530,431,494,106,467,568,525,204,268,257,153,445, 96, 42, 11127 176,303,313,531,359,499, 58,463, 16,509,228,266,425,158,109, 83,570, 11128 189,207,316,243,345,451, 72, 31)( 9,437,240, 26,416,302, 97,539,575, 11129 501,202,460,256,513,444,288, 41,152,301, 73,546,191,495,322,459,352, 11130 523, 60,271, 17,149,229, 74,426,182,111,323,555,357,211, 52,247) 11131 ( 11,557,237,194,412,254,105,443,576, 45,200,292,241,537,455,504, 34, 11132 464,304,505,540,287,497,154,469, 88,522,180,279,329,147,349, 91, 66, 11133 175, 15,317,219,338,427, 62,103)( 12,269,233,146,421, 86,114,179,567, 11134 333,195,340,259, 57,439, 24, 29,224,290,409,542,119,491,562,477,208, 11135 508,252,273,449,168, 37, 80,306,169,543,335,483,346,475, 64,511) 11136 ( 18,173,231,314,411,350,115, 59,559, 21,197,220,242,417,446,120, 35, 11137 560,309,193,532,263,489,442,480, 40,512,300,265,545,167,493, 82,474, 11138 184,519,324,267,353,163, 61, 79)( 20,389,238,362,414,134,116,395,574, 11139 381,198,124,260,393,454,384, 30,128,308,385,550,383,486,130,476,400, 11140 526,372,270,137,164,397, 94,378,174,135,332,387,358,379, 54,127) 11141 ( 22,365,222,122,428,398,118,371,558,141,212,388,262,369,438,144, 44, 11142 392,310,361,534,143,500,394,478,376,510,132,284,401,166,373, 78,138, 11143 188,399,334,363,342,139, 68,391)( 23,485,226,458,424,518,108,275,569, 11144 165,205, 76,258,177,447,336, 27,344,307, 49,535)(126,140,404,406,382, 11145 366)(142,380,390) ] ], 11146[ 4, 384956219213331276939737002152967117209600000000, 0, "4c", 11147 [ [ 529, 1 ], [ 46, 1 ] ], 1, "Alt(24)^2.4", [ "A", 24, 2 ], 11148 [ ( 1, 91,308,515, 57,214,498,147,246,232, 26,367, 17,283,311,179, 63,574, 11149 484,435,245,424, 45,103, 13,403,302,131, 49, 94,500,507,249,208, 42, 11150 151, 6,235,290,371, 65,286,503,171,255,568, 28,439, 5,427,309,107, 11151 61,406,494,123,241, 88, 44,511, 9,211,306,155, 54,238,482,363,257, 11152 280, 47,175, 15,571,292,443, 53,430,501, 99,253,400, 38,127) 11153 ( 2,379,305,275, 71,190,495,555,244,448, 29,415, 21,115,301,395, 62, 11154 142,481, 75,260,520, 33,199, 18,163,294,227, 50,382,497,267,263,184, 11155 39,559, 4,451,293,419, 69,118,493,387,254,136, 25, 79, 20,523,297, 11156 203, 66,166,486,219,242,376, 41,271, 23,187,303,563, 52,454,485,411, 11157 261,112, 37,391, 14,139,289, 83, 68,526,489,195,258,160, 30,223) 11158 ( 3,259,304, 35, 55, 22,499,291,251, 64, 46,487)( 7, 19,307,299, 59, 11159 70,502,483,243,256, 40, 31)( 8,475,300,323, 58,550,504,339,248,472, 11160 36,319, 10,547,312,347, 56,478,492,315,250,544, 48,343) 11161 ( 11, 67,310,491, 51,262,496, 27,247, 16, 43,295)( 12,331,298,539, 72, 11162 358,488,459,252,328, 34,535, 24,355,296,467, 60,334,490,531,264,352, 11163 32,463)( 73, 92,524,513,201,210,162,150,222,218,362,377,281,287,191, 11164 183,567,556,436,437,413,429,117,109,397,398,134,121)( 74,380,521,273, 11165 215,186,159,558,220,434,365,425,285,119,181,399,566,124,433, 77,428, 11166 525,105,205,402,158,126,217)( 76,452,509,417,213,114,157,390,230,122, 11167 361, 89,284,527,177,207,570,148,438,221,410,381,113,277,407,182,135, 11168 553)( 78,236,506,369,209,282,167,174,231,554,364,449,269,431,189,111, 11169 565,388,446,125,409, 93,116,517,393,206,138,145)( 80,476,516,321,202, 11170 546,168,342,224,458,372,329,274,551,192,351,560,460,444,317,418,549, 11171 120,349,392,470,132,313, 82,548,528,345,200,474,156,318,226,530,384, 11172 353,272,479,180,327,562,532,456,341,416,477,108,325,394,542,144,337) 11173 ( 81,212,522,153,198,234,146,366,233,266,383,185,279,575,172,447,557, 11174 412,453,101,421,405,110,133,385, 86,140,505)( 84,332,514,537,216,354, 11175 152,462,228,314,370,545,288,359,176,471,564,316,442,533,432,357,104, 11176 469,396,326,130,529, 96,356,512,465,204,330,154,534,240,338,368,473, 11177 276,335,178,543,576,340,440,461,420,333,106,541,408,350,128,457) 11178 ( 85,404,518,129,193, 90,164,510,225,194,378,161,270,239,170,375,569, 11179 268,455,173,423,573,100,445,389,422,141, 97)( 87,572,508,441,197,426, 11180 165,102,229,386,374,137,265, 95,188,519,561,196,450,149,414,237, 98, 11181 373,401,278,143,169)(320,466,540,336,346,536,480,348) 11182 (322,538,552,360,344,464,468,324), 11183 ( 1, 67,286,479,156,294,203, 18,139,265, 71,166,462,204,306,131) 11184 ( 2,355,272,455,149,390,206,114,133,361, 65,262,472, 36,295,563, 4, 11185 427,285, 95,164,486,195,234,122,337, 56,454,461,396,302,107, 13,379, 11186 281,263,160, 30,199,570,124,409, 69, 94,476,492,291,227) 11187 ( 3,235,266,359,152,438,197,402,134, 97, 61,382,473,252,304, 35, 7, 11188 571,268,431,165, 78,212,498,123,217, 50,358,464,444,293,395, 14,115, 11189 277,383,161,246,208, 42,127,553, 52,430,477, 84,308,491) 11190 ( 5,403,278,119,157,366,209,258,136, 25, 55,574,460,420,309, 83, 20, 11191 499,267,239,146,342,200,450,125,385, 62,118,469,372,305,251, 16, 43, 11192 271,575,148,414,213, 90,140,481, 51,238,458,348,296,443) 11193 ( 6,211,282,143,145, 54,214,474,132,289, 59, 22,475,276,311,155) 11194 ( 8,451,269,407,158,102,205,378,137,241, 64, 46,463,564,292,419, 21, 11195 91,284,503,147,222,194,354,128,433, 53,406,470,108,301,371, 17,259, 11196 280, 47,151,558,196,426,141, 73, 68,502,459,228,290,347) 11197 ( 9,187,279,551,154,510,216,330,129,169, 63,550,466,516,312,323) 11198 ( 10,523,288,335,153,174,207,546,130,505, 72,334,465,180,303,539) 11199 ( 11, 19,283,287,167,150,198,210,138,121, 49, 70,478,468,300,299) 11200 ( 12,307,275, 23,163,270,215,162,126,193, 66,142,457, 60,310,467) 11201 ( 15,547,274,527,168,318,201,186,135,529, 58,526,480,324,297,179) 11202 ( 24,331,273,191,159,534,202,522,144,313, 57,190,471,540,298,515) 11203 ( 26,343,560,436,413,405, 86,116,493,363,233,242,352, 32,439,557,388, 11204 422,117, 85,380,497,243,232)( 27,223,554,340,416,453, 77,404,494, 99, 11205 229,362,353,248,448, 29,391,566,100,421,381, 89,260,496) 11206 ( 28,415,573, 76,428,501, 75,236,482,339,224,434,341,392,446,101,397, 11207 374,113,253,376, 41,247,568)( 31,559,556,412,429, 93, 92,500,483,219, 11208 218,338,344,440,437,389,398,110,109,373,377,257,256, 40) 11209 ( 33,175,567,532,418,525, 96,332,489,171,231,530,346,512,456,317,393, 11210 182,111,541,370,521,264,328)( 34,511,576,316,417,189, 87,548,490,507, 11211 240,314,345,176,447,533,394,518,120,325,369,185,255,544) 11212 ( 37,367,569,244,424, 45, 79,572,484,411,237, 74,356,488,435,221,386, 11213 350,104,445,365,401,254,112)( 38,103,565,364,425,261, 88, 44,487,555, 11214 220,410,357, 80,452,485,387,230, 98,349,368,449,245,400) 11215 ( 39,535,562,508,432,333, 81,188,495,531,226,506,360,320,441,173,399, 11216 542,106,517,384,329,249,184)( 48,319,561,172,423,549, 82,524,504,315, 11217 225,170,351,536,442,509,408,326,105,181,375,545,250,520) 11218 (177,183,543,538,514,528,336,321)(178,519,552,322,513,192,327,537) ] 11219 ], 11220[ 5, 769912438426662553879474004305934234419200000000, 0, "4c", 11221 [ [ 529, 1 ], [ 46, 1 ] ], 1, "Sym(24) wreath Sym(2)", [ "A", 24, 2 ], 11222 [ ( 1,393,446,246,515,348, 31,418,164,502,224,362,309,169,407, 62,244,131, 11223 353,559,424,116,504,536,365, 21,177,455, 54,508,132, 41,562,160,118, 11224 240,530,293)( 2,297,433,390,518,252, 35,346,151,430,236,482,296,361, 11225 405,182,263, 59,340,127,425,572,496,104,384,549,173, 23, 57,436,126, 11226 521,564, 40,106,168,550,221)( 3,273,451,462,507,276, 43,466,147,286, 11227 235,458,291,265,403,470,243,275,355,463,411,284,499,464,363,285,187, 11228 479, 51,268,139,473,555,280,115,480,531,269, 19,465,435,270,523,468, 11229 27,274,163,478,219,266,307,457,387,278,259,467,339,271,427,476,483, 11230 272,379,477,171,287, 67,460,123,281,571,472, 99,288,547,461) 11231 ( 4,129,449,558,520,108, 48,538,149, 22,225,434,294,505,396, 38,250, 11232 155,358,223,410,308,481,392,374,261,179,359, 55,412,140,497,560,376, 11233 117,192,551, 53)( 5, 9,441,438,510,516, 36, 34,154,166,238,218,290, 11234 289,385,398,254,251,347,343,415,428,500,488,368,381,189,191, 71, 52, 11235 124,137,569,568,112,120,552,533)( 6,513,444, 30,514,156, 46,226,146, 11236 310,217,386,302,241,395,350,247,419,356,487,416,380,501,176,383, 69, 11237 172,143, 65,556,136,113,576,544,101, 24,537,437)( 7,417,452,486,512, 11238 372, 45,178,167, 70,220,122,305,553,400,110,264,539,341) 11239 ( 8,369,453,174,527, 60, 28,130,161,574,232, 98,312,529,389, 14,249, 11240 443,342,511,420, 44,490,152,382,237,170,311, 49,388,134,257,563,352, 11241 103,432,548,485)( 10,153,454,222,506,300, 25,394,158,262,227,338,295, 11242 409,404,494,248,371,357,175,431, 68,484,128,377,573,184,119, 72,532, 11243 125, 17,561,448,102,528,540, 29)( 11,345,439,414,524,492, 32,370,165, 11244 190,239, 50,292,121,401,566,256,107,360,535,413, 20,489,440,366,525, 11245 180, 47, 58,148,142,233,554,304, 97,408,542,245)( 12, 33,442,150,526, 11246 228, 26,298,145,406,230,242,299,337,391,422,260,491,344,367,429,188, 11247 503, 56,364,141,185,575, 64,100,144,545,557, 16,105,456,534,509) 11248 ( 13,201,450,318,517,204, 42,322,157,214,234,314,301,193,402,326,253, 11249 203,354,319,421,212,498,320,373,213,186,335, 61,196,138,329,565,208, 11250 114,336,541,197, 18,321,445,198,522,324, 37,202,162,334,229,194,306, 11251 313,397,206,258,323,349,199,426,332,493,200,378,333,181,215, 66,316, 11252 133,209,570,328,109,216,546,317)( 15, 81,447, 78,519, 84, 39, 82,159, 11253 94,231, 74,303, 73,399, 86,255, 83,351, 79,423, 92,495, 80,375, 93, 11254 183, 95, 63, 76,135, 89,567, 88,111, 96,543, 77)( 75,279, 91,471) 11255 ( 85,207, 90,327)(195,282,331,469)(205,210,330,325)(211,474,315,277) 11256 (267,283,475,459), ( 1,390,522,326,253,208,115, 96,447,224,382,572, 11257 468, 27,274,165,169,407, 66,316,133,209,547, 77, 15,222,526,566,252, 11258 40,106,168,433,392,378,332,469,195,283, 93,183,239, 70,556,132, 41, 11259 538,149)( 2,294,506,302,242,304, 98,312,434,296,362,308,458,291,266, 11260 309,170,311, 50,292,122,305,530,293)( 3,270,525,182,263, 64,100,144, 11261 449,536,365, 20,462,507,278,261,184,119, 72,436,128,377,548,461) 11262 ( 4,126,521,542,245, 16,102,528,446,248,376,116,480,435,272,381,188, 11263 479, 51,268,141,185,551, 53)( 5, 6,510,518,254,256,112,120,456,440, 11264 368,380,476,459,267,285,189,191, 71, 52,124,137,545,533) 11265 ( 7,414,515,350,247,424,107,360,439,416,371,356,463,411,275,357,175, 11266 431, 59,340,127,425,539,341)( 8,366,524,470,243,280,117,192,455, 56, 11267 364,140,473,531,269, 21,174,527, 62,244,136,113,552,437) 11268 ( 9,486,513,494,249,496,105,504,441,488,369,500,465,483,273,501,177, 11269 503, 57,484,129,497,537,485)( 10,150,505,398,258,328,109,216,451, 80, 11270 375,236,478,555,276, 45,178,167, 49,388,138,329,541,197, 19, 78,519, 11271 230,262,568,108, 48,442,152,361,404,474,315,277,213,187, 95, 63,220, 11272 142,569,540, 29)( 11,342,511,422,251,352,103,432,443,344,367,428,467, 11273 339,271,429,179,359, 55,412,131,353,535,413)( 12, 30,514,158,241,400, 11274 114,336,445,200,379, 92,471,219,286,573,180, 47, 58,148,121,401,546, 11275 317, 13,198,523, 86,255,232,118,576,444, 32,370,164,457,387,282,333, 11276 181,215, 67, 76,135,233,550,557)( 14,246,520,110,264,448,104,384,452, 11277 464,363,284,477,171,287, 69,172,143, 65,532,125, 17,534,509) 11278 ( 18,318,517,206,259, 88,111,240,454,560,372, 44,466,147,265,405,186, 11279 335, 61,196,139, 89,543,221, 22,558,516, 38,250,160, 97,408,450,320, 11280 373,212,475, 75,279,237,190,575, 60, 28,130,161,529,389) 11281 ( 23, 54,508,134,257,544,101, 24,438,512,374,260,472, 99,288,453,176, 11282 383, 68,460,123,281,549,173)( 25,394,162,313,397,210,331, 85,207,235, 11283 94,567,228, 46,562,156)( 26,298,146,289,386,306,314,301,194,307, 74, 11284 303,218,310,554,300)( 31,418,155,337,391,426,323,349,199,427, 83,351, 11285 223,430,563,348)( 33,490,153,481,393,498,321,493,201,499, 81,495,225, 11286 502,561,492)( 34,154,145,385,402,330,325,205,211, 91, 87,231,238,574, 11287 564, 36)( 35,346,151,409,395,354,319,421,203,355, 79,423,227,358,559, 11288 420)( 37,202,163, 73,399,234,334,565,204, 43, 82,159,217,406,570,324) 11289 ( 39,226,166,553,396, 42,322,157,193,403, 90,327,229,214,571, 84) 11290 (295,410,299,338)(297,482)(343,415,419,347)(345,487,417,491) ] ], 11291[ 6, 73738368, 0, "4c", [ [ 529, 1 ], [ 46, 1 ] ], 1, 11292 "PSL(2, 23) wreath Sym(2)", [ "L", [ 2, 23 ], 2 ], 11293 [ ( 1, 73, 49,313,265,409,553,505,193,169,241)( 2, 88, 61,326,282,414,564, 11294 511,207,179,243)( 3, 74, 64,325,278,426,558,516,199,183,251) 11295 ( 4, 95, 53,329,285,430,571,513,200,192,260)( 5, 89, 69,334,283,417, 11296 560,528,212,172,263)( 6, 84, 55,327,275,411,554,520,205,182,258) 11297 ( 7, 87, 59,315,266,424,565,518,210,174,252)( 8, 96, 68,316,287,413, 11298 569,525,214,187,249)( 9, 80, 72,332,268,431,557,521,213,190,259) 11299 ( 10, 82, 58,322,274,418,562,514,202,178,250)( 11, 75, 50,328,277,422, 11300 570,510,204,175,255)( 12, 79, 63,323,267,410,568,517,206,186,246) 11301 ( 13, 86, 66,318,276,415,567,515,195,170,256)( 14, 90, 54,324,271,423, 11302 563,507,194,184,253)( 15, 83, 51,314,280,421,566,522,198,180,247) 11303 ( 16, 85, 62,330,270,420,559,519,203,171,242)( 17, 93, 70,331,273,416, 11304 576,524,196,191,245)( 18, 78, 60,319,279,419,555,506,208,181,254) 11305 ( 19, 81, 56,336,284,412,575,509,209,189,262)( 20, 76, 71,317,281,429, 11306 574,523,201,176,264)( 21, 94, 67,321,272,432,572,508,215,173,257) 11307 ( 22, 91, 57,320,288,428,556,527,197,185,261)( 23, 77, 65,333,286,427, 11308 561,512,216,188,244)( 24, 92, 52,335,269,425,573,526,211,177,248) 11309 ( 26, 40, 37, 38, 42, 30, 36, 31, 39, 35, 27)( 28, 47, 29, 41, 45, 46, 11310 43, 33, 32, 48, 44)( 97,337,457,361,481,145,433,529,121,289,385) 11311 ( 98,352,469,374,498,150,444,535,135,299,387)( 99,338,472,373,494,162, 11312 438,540,127,303,395)(100,359,461,377,501,166,451,537,128,312,404) 11313 (101,353,477,382,499,153,440,552,140,292,407)(102,348,463,375,491,147, 11314 434,544,133,302,402)(103,351,467,363,482,160,445,542,138,294,396) 11315 (104,360,476,364,503,149,449,549,142,307,393)(105,344,480,380,484,167, 11316 437,545,141,310,403)(106,346,466,370,490,154,442,538,130,298,394) 11317 (107,339,458,376,493,158,450,534,132,295,399)(108,343,471,371,483,146, 11318 448,541,134,306,390)(109,350,474,366,492,151,447,539,123,290,400) 11319 (110,354,462,372,487,159,443,531,122,304,397)(111,347,459,362,496,157, 11320 446,546,126,300,391)(112,349,470,378,486,156,439,543,131,291,386) 11321 (113,357,478,379,489,152,456,548,124,311,389)(114,342,468,367,495,155, 11322 435,530,136,301,398)(115,345,464,384,500,148,455,533,137,309,406) 11323 (116,340,479,365,497,165,454,547,129,296,408)(117,358,475,369,488,168, 11324 452,532,143,293,401)(118,355,465,368,504,164,436,551,125,305,405) 11325 (119,341,473,381,502,163,441,536,144,308,388)(120,356,460,383,485,161, 11326 453,550,139,297,392)(218,232,229,230,234,222,228,223,231,227,219) 11327 (220,239,221,233,237,238,235,225,224,240,236), 11328 ( 1,290,192,446, 27,261,489,228,203,161,428,378,341, 82,319,534,133, 11329 406,280,575,519,100,464, 67)( 2,170,182, 38, 45,501,492,204,209,425, 11330 426,354,346,322,318,126,142,286,287,527,508,460,475, 19) 11331 ( 3,242,177,230, 35,165,500,372,197, 89,415,546,349,394,328,558,135, 11332 118,272, 71,505,292,480,451)( 4,458,187, 14, 26,189,494, 36,213,497, 11333 420,210,353,418,330,342,130,334,270,143,526,268,479,523) 11334 ( 5, 74,175,542, 37,405,496,564,207,113,416, 66,337,298,336,438,123, 11335 262,273,239,515,148,476,379)( 6,122,190,278, 47,525,484,468,211, 17, 11336 410,186,350, 34,333,486,132,214,281,431,522,340,466,331) 11337 ( 7,530,181,398, 40,573,495,108,200, 65,409,306,360,442,315,246,129, 11338 238,275,167,524,364,461, 91)( 8, 50,169,302, 48,453,483,252,201,233, 11339 419,162,356,370,317, 78,127,550,277,407,520,556,471,115) 11340 ( 9,218,179,158, 44,381,485, 84,199,545,421,402,352,562,327,102,128, 11341 70,265,311,528,436,459,259)( 10,314,174,134, 46,285,503,516,196,473, 11342 427, 18,338,178,326, 30,141,502,276,215,521,412,474,355) 11343 ( 11,146,188,374, 29, 93,487,540,205,401,424,570,351,106,320, 54,121, 11344 310,288,455,507,244,465,235)( 12,194,185,422, 42,357,490,324,198,137, 11345 430,282,359,514,316,462,139, 22,266,191,518, 28,477,499) 11346 ( 13,386,184,566, 39,117,488, 60,193,305,432,450,339,250,321,222,131, 11347 166,284,383,509, 76,463,547)( 15, 98,176, 62, 25,309,504,444,195,257, 11348 417,234,347,154,332,366,125, 94,271,551,517,388,472,571) 11349 ( 16,554,183,110, 32, 69,481,300,216,449,411,258,345,226,323,150,140, 11350 382,269, 95,511,532,469,403)( 20,362,173, 86, 31,549,493,396,208,569, 11351 423,114,344, 58,313,294,144,454,267,263,513,220,467,163) 11352 ( 21,482,180,206, 41,429,498,348,202,329,414,138,358,274,335,510,124, 11353 478,283, 23,506,172,470, 43)( 24,434,171,254, 33,237,491,156,212,377, 11354 413, 90,343,538,325,390,136,574,279,119,512, 52,457,307) 11355 ( 49,289,312,456,435,243,249,225,227,155,164,380,365, 77, 79,535,541, 11356 397,400,568,567,111,104, 56)( 51,241,297,240,443,147,260,369,221, 83, 11357 151,548,373,389, 88,559,543,109,392, 64,553,303,120,440) 11358 ( 53, 73,295,552,445,387,256,561,231,107,152, 68,361,293, 96,439,531, 11359 253,393,232,563,159,116,368)( 55,529,301,408,448,555,255,105,224, 59, 11360 145,308,384,437, 75,247,537,229,395,160,572,375,101, 80) 11361 ( 57,217,299,168,452,363,245, 81,223,539,157,404,376,557, 87,103,536, 11362 61,385,304,576,447, 99,248)( 63, 97,296, 72,433,291,264,441,219,251, 11363 153,236,371,149, 92,367,533, 85,391,544,565,399,112,560) ] ], 11364[ 7, 147476736, 0, "4c", [ [ 529, 1 ], [ 46, 1 ] ], 1, "PSL(2, 23)^2.2^2", 11365 [ "L", [ 2, 23 ], 2 ], 11366 [ ( 1,330,476,527,444,301,153, 62,250,203,504,363, 77, 46,223,135,558,410, 11367 357,401,536,280)( 2,354,473,551,448, 13,162,470,263,443,493,147, 86, 11368 262,227,495,555, 74,358,233,543,568)( 3, 90,478,239,447,565,146,350, 11369 257,539,496)( 4,186,460,191,436,181,148,182,244,179,484,171, 76,190, 11370 220,183,556,170,340,185,532,184)( 5, 42,463,143,438,421,165,398,248, 11371 275,481,315, 92,526,228,303,561, 50,346,209,552,376)( 6,426,477,407, 11372 440,277,145,326,260,515,492,291, 81, 70,226,207,576,362,341, 41,535, 11373 136)( 7,138,462,431,453,397,152,278,241,323,500,507, 84,310,225, 63, 11374 562,194,360,377,533, 40)( 8,282,457,335,452,517,156,302,249, 59,490, 11375 195, 96,382,221, 39,559,122,342,425,549,400)( 9, 66,466,215,456,373, 11376 149, 38,247,131,486,411, 93,406,224,279,553,314,356,521,540,304) 11377 ( 10,210,480,383,437, 37,151,134,246,419,501,387, 80,286,217,327,572, 11378 506,348,305,537, 64)( 11,498,459, 95,454,229,159,566,242,347,497,531, 11379 88, 22,234,471,575,434,349,161,542,256)( 12,306,465, 71,442,205,168, 11380 374,245, 35,487,123, 78,430,237,399,560,266,337,329,548,520) 11381 ( 14,258,467,503,435, 85,166,230,255,563,482,339, 89,550,232, 15,570, 11382 458,359,449,541,160)( 16, 18,474,479,455,445,157,158,254,251,491,483, 11383 75, 94,238,231,567,554,338,353,545,544)( 17,546,472, 23,450,469,167, 11384 446,253,155,494,243, 83,502,219, 87,574,218,351,569,530,352) 11385 ( 19,114,475,119,451,109,163,110,259,107,499, 99, 91,118,235,111,571, 11386 98,355,113,547,112)( 20,522,468,311,441, 61,154,206,264,371,485, 27, 11387 79,142,222,423,573,386,344,281,529,328)( 21,402,464,287,433,325,164, 11388 518,252,299,489, 51, 82,214,240,375,557, 26,343,137,534,424) 11389 ( 24,378,461, 47,439,133,150,422,261,395,488,267, 73,334,236,519,564, 11390 290,345, 65,538,208)( 25,319,140,510,420,309,393, 56,274,193,336,380, 11391 509, 36,295,129, 54,418,213,408,368,269)( 28,175,124,174,412,189,388, 11392 176,268,169,316,188,508,180,292,177, 52,178,196,192,364,173) 11393 ( 29, 31,127,126,414,429,405,392,272,265,313,332,524,516,300,297, 57, 11394 58,202,216,384,365)( 30,415,141,390,416,285,385,320,284,505,324,308, 11395 513, 60,298,201, 72,370,197, 48,367,125)( 32,271,121,318,428,525,396, 11396 296,273, 49,322,212,528,372,293, 33, 55,130,198,432,381,389) 11397 ( 34,199,144,366,413, 45,391,128,270,409,333,404,512,276,289,321, 68, 11398 514,204,312,369, 53)( 43,103,139,102,427,117,403,104,283, 97,331,116, 11399 523,108,307,105, 67,106,211,120,379,101)( 44,511,132,294,417, 69,394, 11400 200,288,361,317)(100,187), 11401 ( 1,392,487,454,266,551, 36,110,361,200,151,262, 50,239,564,302,505, 11402 176,319,478,122,359, 84,422)( 2,407,492,446,265,536, 31,118,362,215, 11403 156,254, 49,224,559,310,506,191,324,470,121,344, 79,430) 11404 ( 3,393,495,450,277,549, 29,120,363,201,159,258, 61,237,557,312,507, 11405 177,327,474,133,357, 77,432)( 4,390,499,448,284,539, 34,113,364,198, 11406 163,256, 68,227,562,305,508,174,331,472,140,347, 82,425) 11407 ( 5,408,483,441,279,546, 37,117,365,216,147,249, 63,234,565,309,509, 11408 192,315,465,135,354, 85,429)( 6,403,496,452,275,538, 41,100,366,211, 11409 160,260, 59,226,569,292,510,187,328,476,131,346, 89,412) 11410 ( 7,406,482,455,276,542, 25,104,367,214,146,263, 60,230,553,296,511, 11411 190,314,479,132,350, 73,416)( 8,391,502,434,287,540, 38, 97,368,199, 11412 166,242, 71,228,566,289,512,175,334,458,143,348, 86,409) 11413 ( 9,399,498,445,285,533, 48, 99,369,207,162,253, 69,221,576,291,513, 11414 183,330,469,141,341, 96,411)( 10,401,484,438,283,544, 44,107,370,209, 11415 148,246, 67,232,572,299,514,185,316,462,139,352, 92,419) 11416 ( 11,394,497,436,270,547, 40,116,371,202,161,244, 54,235,568,308,515, 11417 178,329,460,126,355, 88,428)( 12,398,481,440,271,550, 26,119,372,206, 11418 145,248, 55,238,554,311,516,182,313,464,127,358, 74,431) 11419 ( 13,405,485,456,267,537, 39,114,373,213,149,264, 51,225,567,306,517, 11420 189,317,480,123,345, 87,426)( 14,385,488,439,286,530, 47,108,374,193, 11421 152,247, 70,218,575,300,518,169,320,463,142,338, 95,420) 11422 ( 15,402,493,453,269,552, 27,105,375,210,157,261, 53,240,555,297,519, 11423 186,325,477,125,360, 75,417)( 16,404,491,442,281,532, 30,115,376,212, 11424 155,250, 65,220,558,307,520,188,323,466,137,340, 78,427) 11425 ( 17,388,486,451,280,548, 35,106,377,196,150,259, 64,236,563,298,521, 11426 172,318,475,136,356, 83,418)( 18,397,501,437,288,531, 33,111,378,205, 11427 165,245, 72,219,561,303,522,181,333,461,144,339, 81,423) 11428 ( 19,400,500,443,274,545, 28,102,379,208,164,251, 58,233,556,294,523, 11429 184,332,467,130,353, 76,414)( 20,395,490,449,268,534, 43,112,380,203, 11430 154,257, 52,222,571,304,524,179,322,473,124,342, 91,424) 11431 ( 21,389,504,435,273,543, 42,109,381,197,168,243, 57,231,570,301,525, 11432 173,336,459,129,351, 90,421)( 22,386,503,444,278,529, 32,103,382,194, 11433 167,252, 62,217,560,295,526,170,335,468,134,337, 80,415) 11434 ( 23,396,494,433,272,535, 46, 98,383,204,158,241, 56,223,574,290,527, 11435 180,326,457,128,343, 94,410)( 24,387,489,447,282,541, 45,101,384,195, 11436 153,255, 66,229,573,293,528,171,321,471,138,349, 93,413) ] ], 11437[ 8, 147476736, 0, "4c", [ [ 529, 1 ], [ 46, 1 ] ], 1, "PSL(2, 23)^2.4", 11438 [ "L", [ 2, 23 ], 2 ], 11439 [ ( 1,461,175, 71,131,118,145,245,391,503,539,526)( 2,470,174, 56,132,111, 11440 146,254,390,488,540,519)( 3,476,187, 64,144,105,147,260,403,496,552, 11441 513)( 4,469,189, 66,137,106,148,253,405,498,545,514) 11442 ( 5,463,191, 59,142, 97,149,247,407,491,550,505)( 6,464,180, 63,122, 11443 110,150,248,396,495,530,518)( 7,479,179, 70,121,101,151,263,395,502, 11444 529,509)( 8,468,183, 50,134,102,152,252,399,482,542,510) 11445 ( 9,459,188, 67,136,120,153,243,404,499,544,528)( 10,460,181, 69,138, 11446 113,154,244,397,501,546,521)( 11,478,169, 53,127,119,155,262,385,485, 11447 535,527)( 12,471,170, 62,126,104,156,255,386,494,534,512) 11448 ( 13,477,186, 65,130,100,157,261,402,497,538,508)( 14,462,176, 60,135, 11449 98,158,246,392,492,543,506)( 15,458,182, 54,128,108,159,242,398,486, 11450 536,516)( 16,480,177, 51,140,115,160,264,393,483,548,523) 11451 ( 17,466,172, 61,141,114,161,250,388,493,549,522)( 18,473,178, 52,133, 11452 117,162,257,394,484,541,525)( 19,472,192, 57,123,116,163,256,408,489, 11453 531,524)( 20,475,184, 72,129, 99,164,259,400,504,537,507) 11454 ( 21,474,185, 58,124,109,165,258,401,490,532,517)( 22,457,173, 55,143, 11455 107,166,241,389,487,551,515)( 23,467,190, 49,125,103,167,251,406,481, 11456 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Factorial(583)/2,1,"2",[[582,1]],581, "Alt(583)", ["A",583, 1], "Alt"], 11650[2, Factorial(583),0,"2",[[582, 1]],583, "Sym(583)", ["A",583, 1], "Sym"]]; 11651PRIMGRP[584]:= 11652[[1, Factorial(584)/2,1,"2",[[583,1]],582, "Alt(584)", ["A",584, 1], "Alt"], 11653[2, Factorial(584),0,"2",[[583, 1]],584, "Sym(584)", ["A",584, 1], "Sym"]]; 11654PRIMGRP[585]:= 11655[[ 1, 1056706560, 1, "2", [ [ 72, 1 ], [ 512, 1 ] ], 1, "PSp(4, 2^3)", 11656 [ "B", [ 2, 8 ], 1 ], 11657 [ ( 5,209,160,565,123,537, 81)( 6, 64,104,433,517, 68,231) 11658 ( 7,460,376,118,174,224, 47)( 8,542,142,296, 90,561, 97) 11659 ( 9,454, 54,473,208,505,500)( 10,201,141,204,556,439,351) 11660 ( 12,190,176,495,280,554,533)( 14, 92,354,480,474,450,365) 11661 ( 15,490, 33,569,361,389,414)( 16,346,368,407,538,163,251) 11662 ( 17,409,332,108,306,265,249)( 18, 74,492,124,276,434,360) 11663 ( 19,518,347,400,584,476,375)( 20,126, 76,436,498,278,362) 11664 ( 21,557,377,520,349,478,402)( 22,558,378,521,350,479,403) 11665 ( 23, 55,144, 50,326,137,343)( 24,397,255,183,509, 59,328) 11666 ( 25, 28,380,419,263,550,358)( 26,406,196,244,259,256, 65) 11667 ( 27,169,100,268,381,540,416)( 29,374, 44,396,566,435, 41) 11668 ( 30,391,300,107,253,548,230)( 31,567,387,530,359,488,412) 11669 ( 32,261,133, 57,241,243,212)( 34,481,458,335,528,258,232) 11670 ( 35,385,382,322,370,130,152)( 36,222,220,568,154,112,240) 11671 ( 37,398,114,539,307,237,260)( 38,577,132,314,125, 43,331) 11672 ( 39,103,371, 60, 94,267, 93)( 40,294,394,545,182,113,429) 11673 ( 42,171, 95,299,250, 70,213)( 45,329,470,168,238,486,527) 11674 ( 46,483,170,384,162,315,242)( 48,581,185,202,499,467,448) 11675 ( 49,297,441,364,338,564,140)( 51,383, 72,105,106,115,293) 11676 ( 52,477,198,245,336,493,560)( 53,461,425,363,289,205,421) 11677 ( 56,210,507,456,502,475,193)( 58,153,405,214,408,345,393) 11678 ( 61,388,317,444,145,219,277)( 62,229,102,431, 66,173,515) 11679 ( 63,221,319,283,390,446,147)( 67,576,195,146,551,109,523) 11680 ( 69,179,525,578,197,111,148)( 71,264,355,579,194,512,217) 11681 ( 73,451,485,392, 87,484,430)( 75,417,491,333,181,549,131) 11682 ( 77,246,504,352,302,139,135)( 78,186,562,120,206,157,188) 11683 ( 79,158,563,535,187,121,207)( 80,353,468,543,342,462,438) 11684 ( 82,580, 89,288,585,271,134)( 83,156,324,472,437,225,337) 11685 ( 84,536,136,582, 91,273,290)( 85,463,404,506,497,442, 99) 11686 ( 86,235,116,410,110,575,313)( 88,211,529,513,372,570,234) 11687 ( 96,531,519,340,301,471,184)( 98,128,422,325,122,247,203) 11688 (101,164,399,149,516,161,311)(117,510,571,415,165,180,327) 11689 (119,127,453,341,199,440,272)(129,583,544,522,192,427,339) 11690 (138,155,447,541,420,401,452)(143,200,426,226,159,303,449) 11691 (150,167,432,459,464,546,413)(151,574,526,334,239,356,395) 11692 (166,262,411,286,292,489,367)(172,305,312,511,357,223,218) 11693 (178,379,501,304,298,423,274)(215,270,457,236,443,269,547) 11694 (216,254,482,309,318,275,308)(227,282,248,291,469,559,455) 11695 (228,321,266,287,508,330,320)(233,284,373,252,366,572,418) 11696 (257,386,310,514,465,285,428)(295,424,348,552,503,323,466) 11697 (316,445,369,573,524,344,487), 11698 ( 1,296,281, 4, 2)( 3,558,279,280,102)( 5,547,536,391, 83) 11699 ( 6,508,194,251, 76)( 7,490,262,329,145)( 8,454,431,533,230) 11700 ( 9,406,349,569,171)( 10,418, 84,131, 79)( 11,139,443,496,350) 11701 ( 12,210,542,468,229)( 13,403,175, 48, 63)( 14,331,369,583,224) 11702 ( 15,486,123,436,265)( 16,459,231,126,257)( 17,392,537,304,260) 11703 ( 18,214, 35,397,209)( 19,358,381,506,172)( 20,578,546,580, 47) 11704 ( 21, 99, 70, 91,261)( 22,494,337,293,177)( 23,207,516,284,422) 11705 ( 24,407,509,433,514)( 25,573,579,498,141)( 26, 97,247, 62,495) 11706 ( 27,204,235,584,394)( 28,198,434,386,238)( 29,206, 57, 53,512) 11707 ( 30,467,370,115,473)( 31,483,111,451,560)( 32,324,276,457,500) 11708 ( 33,124,130,511,481)( 34,439, 85,108,445)( 36,310,485,414,419) 11709 ( 37,401,146,248,355)( 38,519,462, 56,453)( 39,572, 49,151,121) 11710 ( 40,165,362,410,567)( 41,555,521,532,563)( 42, 98,253,478,218) 11711 ( 43,372,576,125,309)( 44,505, 50,425,249)( 45,315,348,327,458) 11712 ( 46,240,192,551,409)( 51,426,244,499,380)( 52,313,264,182,466) 11713 ( 54,549,504,552,221)( 55,437,539,236,438)( 58,307,497,129,480) 11714 ( 59,366,200,133,187)( 60,435,338,239,461)( 61,577,178,489,237) 11715 ( 64,223,404,163,332)( 65,158,387,252,353)( 66,190,144, 90,290) 11716 ( 67,566,449,502,421)( 68,399,492,346,160)( 69,213,562,475,402) 11717 ( 71,463,336,345,183)( 72,136,456,448,544)( 73,311,413,530,556) 11718 ( 74,288,116,245,294)( 75,272,493,340,159)( 77,267,390,441,526) 11719 ( 78,417,225,585,215)( 80,243,135,170,319)( 81,220,347,571,100) 11720 ( 82,487,447,134,559)( 86,291,545,306,420)( 87,270,128,193,156) 11721 ( 88,408,148,216,351)( 89,228,295,150,305)( 92,446,582,326,246) 11722 ( 93,250,297,574,557)( 94,269,364,334,472)( 95,543,333,520,174) 11723 ( 96,325,241,341,428)(101,312,321,423,361)(103,301,140,395,199) 11724 (104,484,254,538,234)(105,120,343,185,316)(106,203,491,202,278) 11725 (107,127,168,184,186)(109,271,328,118,217)(110,385,429,322,424) 11726 (112,396,342,548,205)(113,389,460,575,430)(114,527,525,201,323) 11727 (117,197,568,376,314)(119,298,471,273,196)(122,256,289,266,374) 11728 (132,357,180,488,152)(137,377,393,299,143)(138,540,227,470,375) 11729 (142,226,173,176,212)(147,157,259,352,432)(149,455,464,474,155) 11730 (153,452,384,282,179)(154,167,367,503,277)(161,541,501,469,344) 11731 (162,164,523,550,442)(166,330,219,359,287)(169,274,232,400,465) 11732 (181,561,188,515,554)(189,440,233,534,479)(191,378,553,363,531) 11733 (195,318,360,513,335)(208,507,535,415,373)(211,477,427,308,524) 11734 (222,268,522,382,518)(242,368,292,517,388)(255,510,482,258,570) 11735 (263,286,275,317,529)(283,303,300,302,528)(285,450,320,405,379) 11736 (339,444,398,412,411)(354,416,365,565,476)(356,581,371,383,564) ] ], 11737[ 2, 3170119680, 0, "2", [ [ 72, 1 ], [ 512, 1 ] ], 1, "PSp(4, 2^3):3", 11738 [ "B", [ 2, 8 ], 1 ], 11739 [ ( 5,209,160,565,123,537, 81)( 6, 64,104,433,517, 68,231) 11740 ( 7,460,376,118,174,224, 47)( 8,542,142,296, 90,561, 97) 11741 ( 9,454, 54,473,208,505,500)( 10,201,141,204,556,439,351) 11742 ( 12,190,176,495,280,554,533)( 14, 92,354,480,474,450,365) 11743 ( 15,490, 33,569,361,389,414)( 16,346,368,407,538,163,251) 11744 ( 17,409,332,108,306,265,249)( 18, 74,492,124,276,434,360) 11745 ( 19,518,347,400,584,476,375)( 20,126, 76,436,498,278,362) 11746 ( 21,557,377,520,349,478,402)( 22,558,378,521,350,479,403) 11747 ( 23, 55,144, 50,326,137,343)( 24,397,255,183,509, 59,328) 11748 ( 25, 28,380,419,263,550,358)( 26,406,196,244,259,256, 65) 11749 ( 27,169,100,268,381,540,416)( 29,374, 44,396,566,435, 41) 11750 ( 30,391,300,107,253,548,230)( 31,567,387,530,359,488,412) 11751 ( 32,261,133, 57,241,243,212)( 34,481,458,335,528,258,232) 11752 ( 35,385,382,322,370,130,152)( 36,222,220,568,154,112,240) 11753 ( 37,398,114,539,307,237,260)( 38,577,132,314,125, 43,331) 11754 ( 39,103,371, 60, 94,267, 93)( 40,294,394,545,182,113,429) 11755 ( 42,171, 95,299,250, 70,213)( 45,329,470,168,238,486,527) 11756 ( 46,483,170,384,162,315,242)( 48,581,185,202,499,467,448) 11757 ( 49,297,441,364,338,564,140)( 51,383, 72,105,106,115,293) 11758 ( 52,477,198,245,336,493,560)( 53,461,425,363,289,205,421) 11759 ( 56,210,507,456,502,475,193)( 58,153,405,214,408,345,393) 11760 ( 61,388,317,444,145,219,277)( 62,229,102,431, 66,173,515) 11761 ( 63,221,319,283,390,446,147)( 67,576,195,146,551,109,523) 11762 ( 69,179,525,578,197,111,148)( 71,264,355,579,194,512,217) 11763 ( 73,451,485,392, 87,484,430)( 75,417,491,333,181,549,131) 11764 ( 77,246,504,352,302,139,135)( 78,186,562,120,206,157,188) 11765 ( 79,158,563,535,187,121,207)( 80,353,468,543,342,462,438) 11766 ( 82,580, 89,288,585,271,134)( 83,156,324,472,437,225,337) 11767 ( 84,536,136,582, 91,273,290)( 85,463,404,506,497,442, 99) 11768 ( 86,235,116,410,110,575,313)( 88,211,529,513,372,570,234) 11769 ( 96,531,519,340,301,471,184)( 98,128,422,325,122,247,203) 11770 (101,164,399,149,516,161,311)(117,510,571,415,165,180,327) 11771 (119,127,453,341,199,440,272)(129,583,544,522,192,427,339) 11772 (138,155,447,541,420,401,452)(143,200,426,226,159,303,449) 11773 (150,167,432,459,464,546,413)(151,574,526,334,239,356,395) 11774 (166,262,411,286,292,489,367)(172,305,312,511,357,223,218) 11775 (178,379,501,304,298,423,274)(215,270,457,236,443,269,547) 11776 (216,254,482,309,318,275,308)(227,282,248,291,469,559,455) 11777 (228,321,266,287,508,330,320)(233,284,373,252,366,572,418) 11778 (257,386,310,514,465,285,428)(295,424,348,552,503,323,466) 11779 (316,445,369,573,524,344,487), 11780 ( 1,296,281, 4, 2)( 3,558,279,280,102)( 5,547,536,391, 83) 11781 ( 6,508,194,251, 76)( 7,490,262,329,145)( 8,454,431,533,230) 11782 ( 9,406,349,569,171)( 10,418, 84,131, 79)( 11,139,443,496,350) 11783 ( 12,210,542,468,229)( 13,403,175, 48, 63)( 14,331,369,583,224) 11784 ( 15,486,123,436,265)( 16,459,231,126,257)( 17,392,537,304,260) 11785 ( 18,214, 35,397,209)( 19,358,381,506,172)( 20,578,546,580, 47) 11786 ( 21, 99, 70, 91,261)( 22,494,337,293,177)( 23,207,516,284,422) 11787 ( 24,407,509,433,514)( 25,573,579,498,141)( 26, 97,247, 62,495) 11788 ( 27,204,235,584,394)( 28,198,434,386,238)( 29,206, 57, 53,512) 11789 ( 30,467,370,115,473)( 31,483,111,451,560)( 32,324,276,457,500) 11790 ( 33,124,130,511,481)( 34,439, 85,108,445)( 36,310,485,414,419) 11791 ( 37,401,146,248,355)( 38,519,462, 56,453)( 39,572, 49,151,121) 11792 ( 40,165,362,410,567)( 41,555,521,532,563)( 42, 98,253,478,218) 11793 ( 43,372,576,125,309)( 44,505, 50,425,249)( 45,315,348,327,458) 11794 ( 46,240,192,551,409)( 51,426,244,499,380)( 52,313,264,182,466) 11795 ( 54,549,504,552,221)( 55,437,539,236,438)( 58,307,497,129,480) 11796 ( 59,366,200,133,187)( 60,435,338,239,461)( 61,577,178,489,237) 11797 ( 64,223,404,163,332)( 65,158,387,252,353)( 66,190,144, 90,290) 11798 ( 67,566,449,502,421)( 68,399,492,346,160)( 69,213,562,475,402) 11799 ( 71,463,336,345,183)( 72,136,456,448,544)( 73,311,413,530,556) 11800 ( 74,288,116,245,294)( 75,272,493,340,159)( 77,267,390,441,526) 11801 ( 78,417,225,585,215)( 80,243,135,170,319)( 81,220,347,571,100) 11802 ( 82,487,447,134,559)( 86,291,545,306,420)( 87,270,128,193,156) 11803 ( 88,408,148,216,351)( 89,228,295,150,305)( 92,446,582,326,246) 11804 ( 93,250,297,574,557)( 94,269,364,334,472)( 95,543,333,520,174) 11805 ( 96,325,241,341,428)(101,312,321,423,361)(103,301,140,395,199) 11806 (104,484,254,538,234)(105,120,343,185,316)(106,203,491,202,278) 11807 (107,127,168,184,186)(109,271,328,118,217)(110,385,429,322,424) 11808 (112,396,342,548,205)(113,389,460,575,430)(114,527,525,201,323) 11809 (117,197,568,376,314)(119,298,471,273,196)(122,256,289,266,374) 11810 (132,357,180,488,152)(137,377,393,299,143)(138,540,227,470,375) 11811 (142,226,173,176,212)(147,157,259,352,432)(149,455,464,474,155) 11812 (153,452,384,282,179)(154,167,367,503,277)(161,541,501,469,344) 11813 (162,164,523,550,442)(166,330,219,359,287)(169,274,232,400,465) 11814 (181,561,188,515,554)(189,440,233,534,479)(191,378,553,363,531) 11815 (195,318,360,513,335)(208,507,535,415,373)(211,477,427,308,524) 11816 (222,268,522,382,518)(242,368,292,517,388)(255,510,482,258,570) 11817 (263,286,275,317,529)(283,303,300,302,528)(285,450,320,405,379) 11818 (339,444,398,412,411)(354,416,365,565,476)(356,581,371,383,564), 11819 ( 5,316,552)( 6,570, 61)( 7,223,408)( 8, 90,561)( 9, 91,562) 11820 ( 10,168,249)( 11,494,175)( 12,495,176)( 13,496,177)( 14, 89, 35) 11821 ( 15, 85,525)( 16,318,411)( 17,141, 45)( 18,583,150)( 19,452,575) 11822 ( 20,481,307)( 21,402,349)( 22,403,350)( 23, 75,548)( 24,125,287) 11823 ( 25,315,392)( 26,212,210)( 27,227,545)( 28, 46, 73)( 29,373,471) 11824 ( 30,326,417)( 31,310,523)( 32,456,259)( 33,497,578)( 34,114,436) 11825 ( 36,164,560)( 37,362,232)( 38,266, 59)( 39,103, 60)( 40,169,248) 11826 ( 41,233,531)( 42,299, 95)( 43,330,509)( 44,418,184)( 47,511, 58) 11827 ( 48,139,337)( 49,140,338)( 50,131,107)( 51,319,270)( 52,220,161) 11828 ( 53,535,119)( 54,536,120)( 55,491,300)( 56,256,133)( 57,507,196) 11829 ( 62,173,229)( 63,443,293)( 64, 88,145)( 65,241,502)( 66,515,431) 11830 ( 67,387,428)( 68,211,277)( 69,569, 99)( 70,213,171)( 71,117,423) 11831 ( 72,147,457)( 74,522,464)( 76,258,237)( 77,472,581)( 78,473,582) 11832 ( 79,127,425)( 80,128,426)( 81,344,466)( 82,322,365)( 83,185,504) 11833 ( 84,186,505)( 86,584,138)( 87,380,170)( 92,585,370)( 94,371,267) 11834 ( 96,566,252)( 97,142,542)( 98,143,543)(100,469,182)(101,336,568) 11835 (104,529,388)(105,221,547)(106,283,236)(108,201,486)(109,488,285) 11836 (110,476,447)(111,414,442)(112,516,493)(113,381,282)(115,446,215) 11837 (116,518,155)(118,357,405)(121,199,461)(122,200,462)(123,445,323) 11838 (124,129,546)(126,335,398)(130,480,580)(132,320,328)(134,385,354) 11839 (135,156,499)(136,157,500)(137,333,253)(144,181,230)(146,567,465) 11840 (148,490,404)(149,245,222)(151,395,239)(152,450,271)(153,460,172) 11841 (154,399,477)(158,341,421)(159,342,422)(160,524,503)(162,451,419) 11842 (163,216,262)(165,274,355)(166,407,309)(167,492,427)(174,218,393) 11843 (178,194,510)(179,389,506)(180,379,217)(183,314,321)(187,453,289) 11844 (188,454,290)(189,553,532)(190,554,533)(191,555,534)(192,413,434) 11845 (193,244,243)(195,412,257)(197,361,463)(198,240,311)(202,302,437) 11846 (203,303,438)(204,470,306)(205,207,272)(206,208,273)(209,369,295) 11847 (214,224,305)(219,433,372)(225,467,246)(226,468,247)(228,397,331) 11848 (231,513,444)(234,317,517)(235,375,420)(238,409,556)(242,484,263) 11849 (251,482,489)(254,286,368)(255,577,508)(260,498,458)(261,475,406) 11850 (264,571,501)(265,439,527)(268,455,294)(269,383,390)(275,292,538) 11851 (276,544,432)(278,528,539)(284,340,396)(288,382,474)(291,394,540) 11852 (298,512,415)(301,435,572)(304,579,327)(308,367,346)(312,345,376) 11853 (313,347,541)(324,448,352)(325,449,353)(329,332,351)(334,356,526) 11854 (339,459,360)(343,549,391)(348,537,573)(358,384,430)(359,514,576) 11855 (363,563,440)(364,564,441)(366,519,374)(377,520,478)(378,521,479) 11856 (386,551,530)(400,401,410)(416,559,429)(424,565,487)(483,485,550) ] ], 11857[ 3, 34558531338240, 1, "2", [ [ 584, 1 ] ], 2, "PSL(4, 2^3)", 11858 [ "L", [ 4, 8 ], 1 ], 11859 [ ( 5, 34,223,374,329,130,220)( 6,317,171,545,268,211,248) 11860 ( 7,351, 52,436,519,580,552)( 8,440,421,225,187,352,581) 11861 ( 9,473,500, 54,505,454,208)( 10,477,498,340, 89,503,460) 11862 ( 11,189,175,494,279,553,532)( 12,495,533,176,554,190,280) 11863 ( 14,153,399,284,524,249,260)( 15,387,178, 28,508,106,459) 11864 ( 16,538,346,163,368,251,407)( 17, 37, 92,405,149,373,344) 11865 ( 18,483,463,183,257,390,512)( 19,584,518,476,347,375,400) 11866 ( 20,184,271,295,174,204,336)( 21,349,557,478,377,402,520) 11867 ( 22,521,403,378,479,558,350)( 23, 32,259,102, 75,548,456) 11868 ( 24,465,221,355,276,315,442)( 25,287,105,432,414,567,274) 11869 ( 26,173,333,391,193, 50, 57)( 27,570,455,517,277, 70, 40) 11870 ( 29, 45,370,222, 81,232,357)( 30,475,144,133, 65, 66,491) 11871 ( 31,423,358,266, 72,167,389)( 33,359,501,419,320,293,546) 11872 ( 35,154,160,458,172,396,168)( 36,537,258,511, 41,527,322) 11873 ( 38,427,523,430,457,179,117)( 39, 94,103,267,371, 93, 60) 11874 ( 42,394,100, 88,282,231,388)( 43,522,551, 87,215,148,180) 11875 ( 44,470,152,568,209,481,218)( 46, 85,255,428,283,194,360) 11876 ( 47,439,560, 76,531, 82,348)( 48, 97,199,205,437,535,504) 11877 ( 49,364,140,441,564,297,338)( 51,413,569,488,304,263,228) 11878 ( 53,337,121,302,185,542,272)( 55,261,256,431,417,230,502) 11879 ( 56,326,241,406,515,181,300)( 58,164,233,573,265,237,365) 11880 ( 59,310,147, 71,492,384,506)( 61,213,294,169,234,227, 68) 11881 ( 62,549,107,210,137,243,196)( 63,264,124,162,497,328,514) 11882 ( 64,444, 95,182,381,529,291)( 67, 73,236,525,510,577,339) 11883 ( 69,327,331,192,109,484,270)( 74,170,404,509,386,446,217) 11884 ( 77,467, 90,453,363,324,158)( 78,120,188,562,157,186,206) 11885 ( 79,135,499,296,127,425,156)( 80,543,438,468,462,353,342) 11886 ( 83,207,139,202,142,119,461)( 84,582,290,136,273,536, 91) 11887 ( 86,110,235,575,116,313,410)( 96,134,424,224,556,493,126) 11888 ( 98,325,203,422,247,128,122)( 99,397,285,319,579,434,242) 11889 (101,418,369,306,307,450,393)(104,145,299,113,540,513,469) 11890 (108,539,474,345,311,572,445)(111,165,125,544,146,392,547) 11891 (112,565,335,305,566,238,385)(114,480,408,161,366,316,332) 11892 (115,464,490,530,379,380,330)(118,141,245,362,471,585,466) 11893 (123,528,312,435,486,382,240)(129,576,451,443,578,571,132) 11894 (131,253,507,343,212,244,229)(138,420,155,401,447,452,541) 11895 (143,226,449,426,303,200,159)(150,361,412,298,550,321,383) 11896 (151,239,574,356,526,395,334)(166,292,262,489,411,367,286) 11897 (195,485,269,197,415,314,583)(198,278,301,288,323,376,201) 11898 (214,516,252,487,409,398,354)(216,318,254,275,482,308,309) 11899 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79,193,318) 11914 ( 21,406,371,154, 40,301,462,461,144,368, 59,299, 91, 90, 22) 11915 ( 23,166,162, 61, 82,240, 43,560,424,316,550,551,252,273,272) 11916 ( 24,415,405,414,284,128,127,244,411,481,381,398,546,351,578) 11917 ( 26,375,370,171, 98, 97,479,478,137, 39,355,211,269, 78, 77) 11918 ( 27,484,569,160,167, 63,468,467,173,191,190,189,526,308,394) 11919 ( 28,288,516,192,511,221,500,499,259,313,312,219,223, 35,222) 11920 ( 29,536,535,196,482,537,469, 74,310,459,152,510,387,228,336) 11921 ( 30, 86,115,338,337,417,138,215,140,139,326,584,446, 49, 48) 11922 ( 31,339,271,194, 67,331,101,471, 54, 53,507,251,348,100,464) 11923 ( 34,369,418,342,341,549,262,583, 88,514,323,258,321,161,528) 11924 ( 37, 41,188,187,431,496,495,494,239,410,234,104,204,393,465) 11925 ( 38, 95,562,561,403,402,261,267,399,169,435,122,121,181,254) 11926 ( 52,539,114,295,184,422,421,391,163,150,145,576,123,237,183) 11927 ( 55,110, 85,416,255,423,354,579,404,544,463,315,283,186,185) 11928 ( 56,292,519,364,363,256,538,374,564,563,133,275,366,441,440) 11929 ( 57,489,573,182,522,523,360,450,178,428,397,568,373,120,119) 11930 ( 60,274, 68,390,582,581,210,235,585,213,543,542,521,520,253) 11931 ( 62,534,533,532,356,346,291,545,242, 69,503,427,293,226,225) 11932 ( 66,177,176,175,151,400,317,529,470,174,146,362,233,454,453) 11933 ( 70,143,142,378,377,333,103,165,277,383,473,472,212,420, 92) 11934 ( 71,134,327,148,432,197,392,236,505,504,491,476,525,559,577) 11935 ( 99,524,492,443,247,246,229,555,554,553,334,367,540,227,263) 11936 (109,294,344,132,571,201,412,170,141,439,147,449,448,131,575) 11937 (116,409,513,389,498,358,305,153,168,480,180,319,203,202,241) 11938 (214,460,249,580,379,270,303,302,502,518,556,444,506,458,384) ] ], 11939[ 4, 103675594014720, 0, "2", [ [ 584, 1 ] ], 2, "PGammaL(4, 2^3)", 11940 [ "L", [ 4, 8 ], 1 ], 11941 [ ( 1, 78,170,204,581, 41,273,571,399,292,570,296,168,143, 62, 9,245,499, 11942 343,450,363,442,309,567,268,117,569,398,539, 36,484,128,100, 34,304, 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173,192,212,233,255,278,302,327,353,380,408,437,467,498,530) 12079 ( 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92,106,121,137,154,172, 12080 191,211,232,254,277,301,326,352,379,407,436,466,497,529,562,595) 12081 ( 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91,105,120,136,153,171,190, 12082 210,231,253,276,300,325,351,378,406,435,465,496,528,561,594,563) 12083 ( 9, 14, 20, 27, 35, 44, 54, 65, 77, 90,104,119,135,152,170,189,209, 12084 230,252,275,299,324,350,377,405,434,464,495,527,560,593,531,564) 12085 ( 13, 19, 26, 34, 43, 53, 64, 76, 89,103,118,134,151,169,188,208,229, 12086 251,274,298,323,349,376,404,433,463,494,526,559,592,499,532,565) 12087 ( 18, 25, 33, 42, 52, 63, 75, 88,102,117,133,150,168,187,207,228,250, 12088 273,297,322,348,375,403,432,462,493,525,558,591,468,500,533,566) 12089 ( 24, 32, 41, 51, 62, 74, 87,101,116,132,149,167,186,206,227,249,272, 12090 296,321,347,374,402,431,461,492,524,557,590,438,469,501,534,567) 12091 ( 31, 40, 50, 61, 73, 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