/*
www-ATLAS of Group Representations.
2.A6 represented as permutations on 144 points.
*/

G<x,y>:=PermutationGroup<144|\[
2,4,7,5,1,11,9,12,10,3,8,6,21,24,23,25,27,30,29,31,15,34,13,16,14,
35,19,43,17,20,18,44,49,26,22,50,55,41,57,45,40,60,32,28,38,61,63,64,36,33,
69,71,70,72,39,74,37,75,77,46,42,78,48,47,85,88,87,89,53,51,54,52,96,58,56,
94,62,59,95,93,91,106,92,107,67,110,65,68,66,111,83,81,79,73,80,76,104,118,102,119,
121,97,122,99,120,84,82,117,123,90,86,124,125,126,127,128,105,100,98,108,103,101,112,109,114,
113,116,115,134,136,135,133,131,130,132,129,138,139,140,137,144,143,141,142]
,\[
3,1,8,9,4,2,13,5,6,15,17,19,22,7,26,10,28,11,32,12,31,16,30,37,39,
14,41,20,45,47,48,18,21,51,53,23,56,24,58,25,59,27,52,54,62,29,33,36,65,67,
44,34,43,35,73,40,76,38,46,55,57,42,81,83,86,49,90,50,89,88,93,95,80,97,99,
79,101,103,60,61,105,63,108,64,109,68,112,113,114,66,69,70,115,71,116,72,117,74,120,75,
111,77,110,78,84,85,87,82,124,102,104,123,91,92,96,94,100,129,130,98,119,118,106,107,133,
135,137,139,131,132,121,122,141,125,142,126,143,127,144,128,136,134,140,138]
>;
print "Group G is 2.A6 < Sym(144)";