/*
www-ATLAS of Group Representations.
L2(32):5 represented as permutations on 496 points.
*/

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