/*
www-ATLAS of Group Representations.
S6(2) represented as permutations on 72 points.
*/

G<x,y>:=PermutationGroup<72|\[
2,1,7,9,11,13,3,16,4,14,5,20,6,10,23,8,26,28,30,12,33,35,15,31,32,
17,39,18,46,19,24,25,21,50,22,57,48,49,27,51,52,53,54,55,56,29,58,37,38,34,
40,41,42,43,44,45,36,47,64,63,66,70,60,59,68,61,72,65,71,62,69,67]
,\[
3,5,8,1,12,2,10,15,17,4,14,19,21,6,7,24,27,9,11,31,34,13,37,39,16,
41,43,44,18,48,50,20,52,54,55,22,59,23,60,25,45,26,47,62,28,38,29,64,30,65,
32,56,33,58,67,35,49,36,69,61,40,42,46,71,66,51,53,57,63,70,68,72]
>;
print "Group G is S6(2) < Sym(72)";