/*
www-ATLAS of Group Representations.
A16 represented as permutations on 560 points.
*/

G<x,y>:=PermutationGroup<560|\[
1,106,107,108,109,110,111,112,113,114,115,116,117,118,2,3,4,5,6,7,8,9,10,11,12,
13,14,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,
192,193,194,195,196,15,16,17,18,19,20,21,22,23,24,25,26,27,197,198,199,200,201,202,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,
229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,275,
276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,
301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,
326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,
401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,
426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,
451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,
476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,
501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,
526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,
551,552,553,554,555,556,557,558,559,560]
,\[
15,16,17,18,19,20,21,22,23,24,25,26,27,1,28,29,30,31,32,33,34,35,36,37,38,
39,2,40,41,42,43,44,45,46,47,48,49,50,3,51,52,53,54,55,56,57,58,59,60,4,
61,62,63,64,65,66,67,68,69,5,70,71,72,73,74,75,76,77,6,78,79,80,81,82,83,
84,7,85,86,87,88,89,90,8,91,92,93,94,95,9,96,97,98,99,10,100,101,102,11,103,
104,12,105,13,14,197,198,199,200,201,202,203,204,205,206,207,208,106,209,210,211,212,213,214,215,
216,217,218,219,107,220,221,222,223,224,225,226,227,228,229,108,230,231,232,233,234,235,236,237,238,
109,239,240,241,242,243,244,245,246,110,247,248,249,250,251,252,253,111,254,255,256,257,258,259,112,
260,261,262,263,264,113,265,266,267,268,114,269,270,271,115,272,273,116,274,117,118,275,276,277,278,
279,280,281,282,283,284,285,119,286,287,288,289,290,291,292,293,294,295,120,296,297,298,299,300,301,
302,303,304,121,305,306,307,308,309,310,311,312,122,313,314,315,316,317,318,319,123,320,321,322,323,
324,325,124,326,327,328,329,330,125,331,332,333,334,126,335,336,337,127,338,339,128,340,129,130,341,
342,343,344,345,346,347,348,349,350,131,351,352,353,354,355,356,357,358,359,132,360,361,362,363,364,
365,366,367,133,368,369,370,371,372,373,374,134,375,376,377,378,379,380,135,381,382,383,384,385,136,
386,387,388,389,137,390,391,392,138,393,394,139,395,140,141,396,397,398,399,400,401,402,403,404,142,
405,406,407,408,409,410,411,412,143,413,414,415,416,417,418,419,144,420,421,422,423,424,425,145,426,
427,428,429,430,146,431,432,433,434,147,435,436,437,148,438,439,149,440,150,151,441,442,443,444,445,
446,447,448,152,449,450,451,452,453,454,455,153,456,457,458,459,460,461,154,462,463,464,465,466,155,
467,468,469,470,156,471,472,473,157,474,475,158,476,159,160,477,478,479,480,481,482,483,161,484,485,
486,487,488,489,162,490,491,492,493,494,163,495,496,497,498,164,499,500,501,165,502,503,166,504,167,
168,505,506,507,508,509,510,169,511,512,513,514,515,170,516,517,518,519,171,520,521,522,172,523,524,
173,525,174,175,526,527,528,529,530,176,531,532,533,534,177,535,536,537,178,538,539,179,540,180,181,
541,542,543,544,182,545,546,547,183,548,549,184,550,185,186,551,552,553,187,554,555,188,556,189,190,
557,558,191,559,192,193,560,194,195,196]
>;
print "Group G is A16 < Sym(560)";