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

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