/*
www-ATLAS of Group Representations.
2.A6 represented as permutations on 240 points.
*/

G<x,y>:=PermutationGroup<240|\[
2,4,9,5,1,16,19,22,11,27,12,3,17,21,23,13,6,28,14,35,7,15,8,36,41,
43,18,10,42,44,49,52,51,53,24,20,59,62,61,63,29,25,30,26,69,72,71,73,33,64,
31,34,32,60,81,84,83,85,39,50,37,40,38,54,93,94,95,96,47,98,45,48,46,99,104,
106,102,107,109,110,57,112,55,58,56,113,118,120,116,121,123,124,66,65,68,67,129,74,70,130,
135,75,137,77,139,78,76,140,80,79,145,86,82,146,147,87,149,89,151,90,88,152,92,91,157,
158,159,160,100,97,165,167,166,168,103,171,101,172,108,105,154,153,175,176,114,111,117,183,115,184,
122,119,141,142,187,188,126,125,128,127,197,199,198,200,133,131,134,132,206,192,138,136,204,190,144,
143,215,205,216,203,201,194,150,148,202,196,156,155,223,170,224,174,213,186,214,182,163,161,164,162,
185,181,178,169,180,173,235,236,219,231,221,232,195,193,179,177,230,229,211,234,209,233,191,189,240,
239,238,237,217,218,212,210,220,222,208,207,227,228,225,226]
,\[
3,7,10,11,14,1,20,2,25,13,18,29,4,24,5,31,33,6,30,15,26,37,39,8,19,
9,45,47,21,12,50,16,54,17,55,57,60,22,64,23,63,62,53,52,70,27,74,28,75,34,
77,79,80,32,82,35,86,36,87,40,89,91,92,38,41,42,43,44,96,48,95,101,103,46,105,
49,108,51,67,68,94,58,93,115,117,56,119,59,122,61,65,66,125,126,127,128,69,131,133,71,
136,72,138,73,78,141,142,76,121,120,81,132,134,83,148,84,150,85,90,153,154,88,106,107,111,
114,97,100,161,163,113,98,112,99,169,104,173,102,164,162,156,155,109,110,177,179,181,118,185,116,
180,178,143,144,123,124,189,191,193,195,139,129,140,130,200,199,203,205,207,135,209,211,208,137,197,
198,151,145,152,146,217,147,219,221,218,149,215,216,225,157,226,158,227,159,228,160,229,230,231,232,
165,166,233,167,234,168,174,170,237,171,238,172,175,176,235,236,186,182,239,183,240,184,187,188,192,
190,196,194,214,213,201,202,206,204,224,223,212,210,222,220]
>;
print "Group G is 2.A6 < Sym(240)";