/* www-ATLAS of Group Representations. U3(8):6 represented as permutations on 513 points. */ G:=PermutationGroup<513|\[ 1,3,2,6,7,4,5,11,12,14,8,9,18,10,20,21,23,13,26,15,16,30,17,32,33, 19,36,37,39,22,42,24,25,46,47,27,28,51,29,53,54,31,57,58,60,34,35,64,65,67, 38,70,40,41,73,56,43,44,77,45,79,80,82,48,49,78,50,86,87,52,90,92,55,95,96, 98,59,66,61,62,104,63,106,107,109,68,69,113,114,71,117,72,119,120,74,75,124,76,126,127, 129,130,132,81,134,83,84,138,85,139,140,142,88,89,146,147,91,150,93,94,154,155,157,97,160, 99,100,164,101,102,167,103,163,105,170,171,172,108,110,111,176,112,178,179,181,115,116,185,186,118, 189,190,192,121,122,195,123,196,197,125,200,201,133,128,175,205,131,206,208,135,136,137,212,213,165, 141,217,143,144,221,145,223,224,226,148,149,230,231,151,152,235,153,237,238,156,158,159,198,243,161, 162,247,248,249,166,168,252,169,254,256,239,173,174,260,261,262,177,265,266,268,180,270,182,183,272, 184,274,275,246,187,188,279,280,281,191,258,193,194,211,286,288,290,199,293,294,229,202,203,204,298, 300,207,303,209,305,210,307,236,309,214,215,216,314,315,218,219,318,220,319,222,321,225,323,227,228, 327,328,326,232,233,234,333,285,335,283,240,339,241,341,242,343,344,244,245,348,349,350,250,353,251, 354,322,253,357,255,359,257,320,259,361,362,364,366,263,264,370,371,267,269,308,271,302,273,378,351, 278,276,277,329,381,373,384,282,387,284,336,389,345,287,383,289,394,291,292,338,397,399,295,296,297, 325,404,299,301,408,406,304,411,306,396,310,311,415,312,417,313,419,368,421,316,317,423,331,425,426, 428,429,324,431,432,330,433,340,332,434,435,334,436,337,438,439,392,410,342,430,360,346,444,347,445, 401,424,437,352,449,356,414,355,452,393,358,453,454,407,363,456,365,458,367,459,369,461,372,402,374, 375,465,376,377,395,379,380,382,385,386,388,403,390,391,470,471,464,472,398,400,475,476,477,405,450, 479,409,412,413,482,416,484,418,420,467,422,466,469,442,427,462,460,488,463,440,441,443,493,494,446, 447,448,485,451,498,499,455,501,457,478,487,486,468,505,497,502,500,473,474,508,509,490,480,481,492, 483,491,510,511,489,507,506,495,496,503,504,513,512] ,\[ 2,4,5,1,8,9,10,3,13,15,16,17,6,19,7,22,24,25,27,28,29,11,31,12,34, 35,14,38,40,41,43,44,45,18,48,49,50,20,52,21,55,56,23,59,61,62,63,26,66,68, 69,65,71,72,30,74,75,76,32,78,33,81,83,84,39,36,85,37,88,89,91,93,94,42,97, 99,100,101,102,103,46,105,47,108,110,111,112,51,115,116,53,118,54,121,122,123,57,125,58,128, 60,131,133,130,135,136,137,64,134,67,141,143,144,145,70,148,149,151,152,153,73,156,158,159,161, 162,163,77,165,166,79,168,80,169,82,155,173,174,175,171,86,177,87,180,182,183,184,90,187,188, 92,191,193,194,106,95,190,96,198,199,98,202,203,185,204,104,167,207,109,209,210,211,107,214,215, 216,218,219,220,113,222,114,225,227,228,229,117,232,233,234,119,236,120,239,240,241,242,124,244,245, 246,126,127,129,250,251,132,253,255,140,257,258,259,138,139,263,264,142,267,248,269,271,231,256,146, 273,147,164,276,277,278,150,265,157,282,283,284,285,154,287,289,291,292,160,295,268,296,179,297,299, 301,302,304,275,170,306,172,308,310,311,312,313,176,316,189,317,178,201,309,320,181,322,324,325,326, 186,329,223,330,331,332,334,192,336,337,338,195,340,196,342,197,345,346,347,200,300,351,352,205,247, 206,355,356,208,358,224,360,212,221,213,363,365,367,368,369,217,372,335,373,374,375,376,377,226,379, 254,380,315,230,382,383,385,386,235,388,237,238,390,391,392,393,381,395,396,243,398,400,401,402,403, 249,405,406,407,252,409,410,389,412,413,414,354,260,416,261,418,262,420,328,378,422,266,424,270,427, 272,430,394,274,404,290,279,280,384,281,436,437,318,305,286,440,288,434,370,441,442,443,293,357,294, 446,447,448,327,298,450,362,451,303,399,439,428,307,455,435,457,417,432,419,314,460,462,463,319,425, 464,321,359,466,323,467,366,468,341,469,333,438,387,444,339,343,344,473,411,474,348,349,350,478,353, 480,459,481,472,361,483,364,485,486,470,487,371,477,476,488,489,490,491,415,421,492,484,397,495,496, 426,423,497,479,408,500,494,499,454,502,452,503,504,429,431,433,506,507,498,445,510,449,482,456,453, 505,458,461,465,512,471,508,493,509,475,511,501,513] >; print "Group G is U3(8):6 < Sym(513)";