/*
www-ATLAS of Group Representations.
3.A7 represented as permutations on 63 points.
*/

G<x,y>:=PermutationGroup<63|\[
2,4,8,1,13,16,19,10,23,3,25,27,14,5,29,18,9,6,20,7,15,33,17,38,26,
11,28,12,21,35,45,41,36,43,44,22,51,39,24,37,46,31,49,30,42,32,58,47,34,50,
40,52,62,53,55,56,57,48,59,63,60,54,61]
,\[
3,6,9,11,1,17,2,13,15,14,23,4,30,31,5,19,21,20,34,35,7,8,29,10,27,
28,42,43,12,37,40,16,18,47,48,50,22,52,25,24,26,53,54,36,38,57,32,33,46,60,
51,61,39,41,44,45,63,58,49,55,56,62,59]
>;
print "Group G is 3.A7 < Sym(63)";