/*
www-ATLAS of Group Representations.
M12 represented as permutations on 66 points.
*/

G<x,y>:=PermutationGroup<66|\[
1,3,2,6,7,4,5,11,12,14,8,9,18,10,20,21,23,13,26,15,16,30,17,24,25,
19,34,28,36,22,39,41,42,27,45,29,47,43,31,40,32,33,38,51,35,53,37,54,49,56,
44,52,46,48,59,50,61,62,55,63,57,58,60,64,65,66]
,\[
2,4,5,1,8,9,10,3,13,15,16,17,6,19,7,22,24,25,27,28,29,11,31,12,32,
33,14,35,37,38,40,18,43,44,20,46,21,48,49,23,50,36,26,52,53,42,41,30,55,47,
57,34,58,51,39,60,54,45,61,64,63,65,59,56,66,62]
>;
print "Group G is M12 < Sym(66)";