/*
www-ATLAS of Group Representations.
3.A6 represented as permutations on 45 points.
*/

G<x,y>:=PermutationGroup<45|\[
1,6,3,11,5,2,17,14,16,20,4,22,23,8,15,9,7,30,32,10,34,12,13,24,29,
37,27,28,25,18,42,19,36,21,40,33,26,38,39,35,44,31,45,41,43]
,\[
2,7,8,1,9,13,4,18,19,3,21,5,24,25,6,26,29,10,12,33,11,35,36,15,38,
39,14,16,40,37,17,23,20,41,22,43,34,27,28,31,30,42,32,44,45]
>;
print "Group G is 3.A6 < Sym(45)";