/*
www-ATLAS of Group Representations.
L2(32):5 represented as permutations on 528 points.
*/

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