/*
www-ATLAS of Group Representations.
L2(32) represented as permutations on 528 points.
*/

G<x,y>:=PermutationGroup<528|\[
1,4,5,2,3,10,11,12,13,6,7,8,9,22,23,24,25,26,27,28,21,14,15,16,17,
18,19,20,43,44,45,46,47,48,49,50,51,52,53,54,55,56,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,85,86,87,88,89,62,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,160,161,162,163,164,145,165,166,167,150,168,169,170,171,
172,173,174,175,176,177,178,179,134,180,181,182,183,184,185,141,186,187,188,117,189,190,191,192,121,
151,193,194,195,196,197,198,199,200,112,113,114,115,116,118,119,120,122,123,124,125,126,127,128,129,
130,131,132,133,135,136,137,138,139,140,142,143,144,146,147,148,149,152,153,154,155,156,157,158,159,
262,268,269,234,270,271,272,208,273,274,275,276,277,278,279,280,281,282,219,283,284,285,286,287,288,
289,267,290,291,292,293,294,295,204,244,296,297,298,299,300,301,302,303,235,304,305,306,307,260,308,
265,309,310,311,312,313,314,315,316,249,317,201,318,264,251,319,227,202,203,205,206,207,209,210,211,
212,213,214,215,216,217,218,220,221,222,223,224,225,226,228,229,230,231,232,233,236,237,238,239,240,
241,242,243,245,246,247,248,250,252,253,254,255,256,257,258,259,261,263,266,391,392,393,394,395,396,
397,398,399,400,387,351,372,401,402,403,404,405,348,343,359,406,407,339,408,409,410,411,338,412,413,
331,414,415,390,416,417,418,419,340,362,420,360,421,422,423,424,425,426,385,427,428,332,429,430,431,
432,433,434,379,435,382,381,436,384,369,437,330,388,438,354,320,321,322,323,324,325,326,327,328,329,
333,334,335,336,337,341,342,344,345,346,347,349,350,352,353,355,356,357,358,361,363,364,365,366,367,
368,370,371,373,374,375,376,377,378,380,383,386,389,493,460,473,450,463,479,494,481,495,496,469,442,
488,497,459,498,455,499,500,470,453,440,501,462,443,478,474,502,503,504,449,458,505,482,441,465,506,
507,508,464,444,480,446,472,509,510,511,491,512,451,513,514,486,515,439,445,447,448,452,454,456,457,
461,466,467,468,471,475,476,477,483,484,485,487,489,490,492,525,521,528,520,519,517,526,524,523,516,
522,527,518]
,\[
2,3,1,6,8,7,4,9,5,14,16,18,20,15,10,17,11,19,12,21,13,29,31,33,35,
37,39,41,30,22,32,23,34,24,36,25,38,26,40,27,42,28,57,59,61,63,65,67,69,71,
73,75,77,79,81,83,58,43,60,44,62,45,64,46,66,47,68,48,70,49,72,50,74,51,76,
52,78,53,80,54,82,55,84,56,112,114,116,118,120,122,124,126,128,130,132,134,103,137,139,141,
143,145,136,146,102,148,150,152,154,156,158,113,85,115,86,117,87,119,88,121,89,123,90,125,91,
127,92,129,93,131,94,133,95,135,96,97,138,98,140,99,142,100,144,101,105,147,104,149,106,151,
107,153,108,155,109,157,110,159,111,201,203,205,207,199,210,212,214,216,218,220,221,223,225,227,229,
231,195,234,236,238,240,242,244,246,248,250,252,254,255,256,188,258,260,189,233,262,170,264,209,266,
202,160,204,161,206,162,208,163,164,211,165,213,166,215,167,217,168,219,169,197,222,171,224,172,226,
173,228,174,230,175,232,176,177,235,178,237,179,239,180,241,181,243,182,245,183,247,184,249,185,251,
186,253,187,191,194,257,190,259,192,261,193,263,196,265,198,267,200,306,299,317,322,324,326,328,330,
332,333,335,337,339,341,276,342,300,345,318,347,349,351,353,355,357,281,358,360,362,364,366,309,344,
368,319,371,373,375,320,292,377,269,379,381,383,385,285,387,389,321,346,370,268,270,323,271,325,272,
327,273,329,274,331,275,282,334,277,336,278,338,279,340,280,293,343,283,284,314,286,348,287,350,288,
352,289,354,290,356,291,307,359,294,361,295,363,296,365,297,367,298,369,301,302,372,303,374,304,376,
305,378,308,380,310,382,311,384,312,386,313,388,315,390,316,439,429,442,444,446,448,401,451,453,455,
450,457,423,426,433,460,462,464,432,467,405,469,430,472,420,419,403,474,425,473,476,414,417,478,416,
459,480,482,441,471,484,466,411,486,488,438,491,490,440,391,392,443,393,445,394,447,395,449,396,397,
452,398,454,399,456,400,458,402,404,461,406,463,407,465,408,409,468,410,470,412,413,422,415,475,418,
477,421,479,424,481,427,483,428,485,431,487,434,489,435,436,492,437,507,516,517,499,518,515,506,521,
523,524,525,505,526,496,512,494,502,527,495,493,503,501,520,508,511,519,497,498,522,500,514,509,513,
504,528,510]
>;
print "Group G is L2(32) < Sym(528)";