/*
www-ATLAS of Group Representations.
L3(7) represented as permutations on 57 points.
*/

G<x,y>:=PermutationGroup<57|\[
14,51,47,53,44,19,10,16,9,7,45,28,34,1,15,8,27,37,6,29,21,41,32,38,25,
35,17,12,20,42,55,23,56,13,26,52,18,24,39,40,22,30,57,5,11,46,3,54,49,50,
2,36,4,48,31,33,43]
,\[
4,54,25,33,28,52,22,15,47,51,30,10,32,57,43,13,19,29,50,20,44,46,3,37,23,
24,14,31,40,41,5,16,1,55,2,36,26,53,34,18,11,42,8,49,6,7,48,9,21,17,
12,45,56,35,39,38,27]
>;
print "Group G is L3(7) < Sym(57)";