/*
www-ATLAS of Group Representations.
L3(4) represented as permutations on 56 points.
*/

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