/*
www-ATLAS of Group Representations.
Sz(8):3 represented as permutations on 560 points.
*/

G<x,y>:=PermutationGroup<560|\[
1,3,2,6,7,4,5,11,12,14,8,9,18,10,20,21,23,13,25,15,16,28,17,30,19,
32,27,22,36,24,39,26,42,43,44,29,47,48,31,51,52,33,34,35,57,58,37,38,62,63,
40,41,67,68,70,72,45,46,76,77,79,49,50,83,84,86,53,54,90,55,92,56,94,95,97,
59,60,101,61,103,104,106,64,65,110,66,112,113,115,69,118,71,93,73,74,123,75,125,126,128,
78,131,80,81,134,82,136,108,138,85,141,87,88,145,89,147,117,91,150,151,153,154,96,157,98,
99,161,100,163,164,102,167,169,105,172,107,175,109,176,177,111,180,181,183,114,186,116,189,190,119,
120,194,121,122,197,198,124,201,185,203,127,206,129,130,209,210,132,212,133,214,215,135,218,193,137,
139,140,217,221,142,143,225,144,227,159,146,230,231,148,149,235,236,174,152,200,241,155,156,245,195,
158,248,160,250,251,162,254,255,165,166,259,168,260,170,171,263,178,173,266,267,179,265,270,272,182,
275,184,277,278,187,188,282,233,284,191,192,287,288,289,291,196,293,294,296,199,298,299,202,302,204,
205,252,305,207,208,309,310,312,211,213,315,316,216,318,222,219,220,322,323,223,325,224,327,281,226,
330,228,229,334,335,274,232,337,234,339,340,237,238,239,344,240,345,242,243,349,244,351,246,247,354,
355,249,357,336,253,360,361,362,256,257,366,258,368,369,261,262,373,264,375,348,377,268,269,380,271,
382,273,346,385,276,388,389,391,279,280,304,283,395,285,286,399,400,402,290,292,328,406,320,295,410,
297,412,414,300,301,417,303,359,358,306,307,308,423,424,401,311,428,313,314,392,432,434,317,379,319,
437,321,426,374,324,441,326,443,411,329,390,445,331,332,386,333,370,449,450,338,403,451,453,341,342,
365,343,396,457,459,347,462,463,464,350,384,352,413,353,438,468,356,461,471,452,473,472,363,364,477,
378,478,367,429,481,431,371,482,372,484,486,376,415,489,490,381,493,383,456,387,496,497,494,393,394,
397,420,398,485,501,444,404,503,405,492,418,407,408,409,507,509,510,416,476,470,419,422,421,513,506,
469,425,427,516,517,430,433,495,435,454,436,522,523,439,440,502,460,442,448,483,446,447,508,530,531,
455,491,458,528,529,475,465,498,466,467,535,536,474,537,538,479,480,524,540,541,543,487,488,518,532,
526,533,504,505,499,500,525,527,549,511,512,514,515,548,519,520,545,521,554,542,546,552,539,534,550,
558,547,559,544,556,555,557,551,553,560]
,\[
2,4,5,1,8,9,10,3,13,15,16,17,6,19,7,22,24,14,18,26,27,11,29,12,31,
33,34,35,37,38,40,41,20,21,45,46,23,49,50,25,53,54,55,56,28,59,60,61,30,64,
65,66,32,69,71,73,74,75,36,78,80,81,82,39,85,87,88,89,42,91,43,93,44,96,98,
99,100,47,102,48,105,107,108,109,51,111,52,114,116,117,119,120,121,79,122,57,124,58,127,129,
130,94,132,133,62,135,63,137,139,140,142,143,144,67,146,68,148,149,70,152,72,155,156,158,159,
160,76,162,77,165,166,168,170,171,173,174,83,163,84,178,179,86,182,184,185,187,188,90,191,192,
193,92,195,196,95,199,200,97,202,204,205,175,207,208,101,211,183,103,213,104,216,217,106,219,128,
198,220,110,222,223,224,112,226,113,228,229,115,232,233,234,118,237,238,239,240,242,243,244,123,246,
247,125,249,126,252,253,138,256,257,258,131,214,261,262,215,134,264,265,136,268,269,141,271,273,274,
167,276,145,279,280,281,147,283,285,286,231,150,151,290,153,292,154,295,176,297,157,300,301,303,304,
251,161,306,307,308,164,311,313,221,314,169,212,317,172,319,320,321,177,259,324,180,326,181,328,329,
331,332,333,186,336,236,296,189,338,190,341,342,299,343,194,245,346,347,348,197,350,291,352,353,201,
356,254,203,358,359,206,302,363,364,365,209,367,210,370,371,372,374,316,218,376,378,278,379,381,325,
383,384,225,386,387,227,390,322,392,393,230,394,396,397,398,235,401,403,404,405,241,407,408,409,282,
411,413,288,415,416,248,418,250,419,420,421,422,255,425,426,427,429,430,431,260,433,318,435,263,436,
266,438,267,439,440,270,442,272,417,444,275,446,362,447,277,369,448,432,395,337,284,452,454,354,455,
287,456,289,458,460,461,293,294,437,465,466,467,298,449,399,469,327,470,305,472,474,388,475,476,309,
310,479,480,312,443,391,335,315,483,485,487,349,488,323,491,492,457,368,494,495,330,498,334,499,500,
468,339,463,340,471,502,382,344,504,345,505,484,477,506,508,351,511,512,355,357,400,360,473,361,501,
514,453,515,366,518,519,520,521,507,373,450,375,377,524,525,380,526,527,385,528,489,529,389,414,486,
423,402,532,533,406,513,462,410,534,503,412,451,464,424,522,531,539,428,538,542,434,478,544,496,545,
441,546,445,547,530,548,510,459,543,549,550,551,481,552,537,553,482,509,555,490,493,497,516,556,557,
540,517,560,558,523,535,536,559,554,541]
>;
print "Group G is Sz(8):3 < Sym(560)";