/*
www-ATLAS of Group Representations.
S12 represented as permutations on 66 points.
*/

G<x,y>:=PermutationGroup<66|\[
1,4,3,2,9,6,7,12,5,10,11,8,19,21,15,16,17,18,13,28,14,31,23,24,25,
26,27,20,38,30,22,42,33,34,35,36,37,29,49,40,41,32,43,44,45,46,47,48,39,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66]
,\[
2,5,1,7,10,3,9,4,14,15,6,17,8,22,23,11,21,12,26,13,30,32,24,16,18,
34,19,36,20,40,41,39,25,31,27,45,28,47,29,50,51,52,33,35,53,37,57,38,59,54,
61,62,42,43,44,46,64,48,66,49,55,63,56,60,58,65]
>;
print "Group G is S12 < Sym(66)";