/*
www-ATLAS of Group Representations.
2.S6 represented as permutations on 288 points.
*/

G<x,y>:=PermutationGroup<288|\[
2,1,5,7,3,11,4,16,14,18,6,22,23,9,27,8,30,10,34,35,37,12,13,44,42,
46,15,50,51,17,55,48,41,19,20,62,21,64,65,67,33,25,71,24,74,26,77,32,79,28,
29,86,84,88,31,92,93,94,95,97,99,36,103,38,39,109,40,112,113,114,43,117,118,45,122,
116,47,126,49,128,129,131,133,53,137,52,140,54,144,145,147,56,57,58,59,157,60,160,61,162,
163,165,63,168,169,171,173,175,66,179,181,68,69,70,142,76,72,73,188,187,190,75,193,194,196,
78,135,80,81,200,82,202,83,203,127,205,85,208,209,87,211,115,214,89,90,217,91,219,220,221,
223,186,226,199,218,167,96,207,161,98,159,100,101,235,102,236,156,104,105,239,106,240,107,241,108,
242,243,244,110,245,111,246,247,248,249,152,120,119,250,121,252,229,123,124,256,125,254,257,154,130,
231,132,134,261,136,234,158,138,139,260,141,265,266,143,238,255,146,155,148,149,150,270,151,271,267,
153,272,262,192,258,201,251,273,206,164,166,274,215,170,172,174,176,177,178,180,182,183,184,185,189,
232,191,278,197,216,195,198,230,280,210,204,228,281,279,212,213,225,282,277,222,224,227,233,237,284,
283,269,253,264,259,263,268,276,275,287,288,285,286]
,\[
1,4,3,8,9,2,13,12,17,5,20,6,24,25,7,29,19,32,10,36,11,39,41,28,45,
14,48,15,52,53,16,57,18,59,61,38,63,21,66,22,69,37,23,73,47,35,26,78,27,81,
83,56,87,30,90,31,58,33,96,34,100,101,104,105,107,68,110,40,72,42,115,43,119,120,44,
46,124,80,114,49,130,50,134,135,51,139,89,142,54,146,55,149,151,153,155,98,158,60,161,76,
164,62,126,70,170,64,174,65,177,180,67,183,99,145,185,71,129,128,123,189,74,169,75,195,77,
181,79,199,173,132,201,82,116,138,204,84,207,85,160,184,86,213,88,178,198,148,165,91,157,92,
224,93,227,94,229,95,222,231,97,212,233,171,131,166,168,102,103,194,238,172,137,106,214,176,113,
108,216,109,118,182,237,111,210,112,133,117,162,209,191,226,121,122,254,218,197,245,125,127,205,258,
259,260,251,206,179,136,187,223,262,140,264,141,215,186,143,144,267,147,268,200,252,150,196,225,152,
219,228,154,230,156,232,159,175,163,272,244,167,253,270,261,190,266,275,256,263,250,271,240,277,248,
188,202,192,211,193,242,279,217,234,269,246,203,208,255,235,236,220,241,221,276,239,243,257,249,265,
247,285,278,286,280,281,282,273,274,284,283,287,288]
>;
print "Group G is 2.S6 < Sym(288)";