/*
www-ATLAS of Group Representations.
3.A7 represented as permutations on 45 points.
*/

G<x,y>:=PermutationGroup<45|\[
2,4,8,1,13,15,17,10,21,3,5,25,11,28,16,6,18,7,33,27,22,9,14,35,26,
12,37,23,39,38,43,45,36,32,40,19,20,42,41,24,29,30,44,31,34]
,\[
3,6,9,11,1,13,2,10,14,23,24,4,19,5,29,31,33,35,7,8,38,18,28,27,36,
40,12,20,26,15,43,16,44,17,25,22,34,42,21,30,39,41,45,37,32]
>;
print "Group G is 3.A7 < Sym(45)";