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

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