/*
www-ATLAS of Group Representations.
(7^2:(3 x 2A4) x L2(7)).2 represented as permutations on 57 points.
*/

G<x,y>:=PermutationGroup<57|\[
2,3,5,7,6,10,12,11,14,16,18,19,21,22,24,25,23,1,28,9,30,32,20,35,36,
26,38,39,40,37,4,15,41,33,42,8,44,45,46,43,47,48,49,27,29,34,31,17,13,55,
54,53,52,51,50,56,57]
,\[
1,4,6,8,9,11,13,2,15,17,3,20,18,23,5,26,27,7,21,29,31,33,34,28,37,
36,10,38,12,35,19,25,40,14,43,16,32,24,46,22,48,41,30,45,49,47,39,42,44,51,
56,55,53,54,57,50,52]
>;
print "Group G is (7^2:(3 x 2A4) x L2(7)).2 < Sym(57)";