/*
www-ATLAS of Group Representations.
3.L3(4) represented as permutations on 63 points.
*/

G<x,y>:=PermutationGroup<63|\[
2,1,6,8,5,3,13,4,15,10,11,18,7,21,9,23,25,12,28,31,14,33,16,38,17,
40,42,19,45,44,20,49,22,34,48,51,54,24,56,26,55,27,43,30,29,60,47,35,32,50,
36,52,53,37,41,39,57,58,59,46,61,62,63]
,\[
1,5,3,4,9,10,2,11,7,16,17,6,19,8,22,12,14,26,29,13,30,34,35,15,36,
41,18,43,20,46,47,21,49,24,52,53,23,55,25,57,27,58,28,59,56,32,61,31,62,33,
42,37,39,60,38,45,40,63,44,54,48,50,51]
>;
print "Group G is 3.L3(4) < Sym(63)";