/*
www-ATLAS of Group Representations.
3.S6 represented as permutations on 45 points.
*/

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