/*
www-ATLAS of Group Representations.
3.S7 represented as permutations on 63 points.
*/

G<x,y>:=PermutationGroup<63|\[
1,6,5,9,3,2,11,8,4,14,7,17,20,10,23,25,12,30,29,13,34,36,15,39,16,
42,43,28,19,18,40,46,33,21,50,22,37,44,24,31,49,26,27,38,55,32,56,48,41,35,
58,52,53,54,45,47,62,51,63,60,61,57,59]
,\[
2,7,8,1,6,10,3,4,12,5,15,18,9,19,24,11,27,31,32,33,14,13,37,40,41,
16,20,17,43,42,22,48,45,49,21,51,25,23,36,26,52,54,34,29,28,50,30,35,55,58,
59,38,39,61,44,46,47,63,60,53,57,56,62]
>;
print "Group G is 3.S7 < Sym(63)";