/*
www-ATLAS of Group Representations.
S6(2) represented as permutations on 56 points.
*/

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