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

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