/*
www-ATLAS of Group Representations.
U3(3) represented as permutations on 63 points.
*/

G<x,y>:=PermutationGroup<63|\[
2,1,5,4,3,9,11,13,6,16,7,19,8,14,21,10,23,25,12,28,15,31,17,34,18,
33,27,20,36,38,22,41,26,24,45,29,37,30,49,48,32,47,53,51,35,46,42,40,39,58,
44,60,43,61,62,59,57,50,56,52,54,55,63]
,\[
3,4,6,7,8,10,12,14,15,17,18,20,11,5,9,22,24,26,27,29,30,32,33,1,35,
31,36,37,2,39,40,42,43,44,46,47,28,48,50,13,51,52,23,54,55,56,57,38,21,59,
25,61,53,58,45,41,60,63,49,19,16,34,62]
>;
print "Group G is U3(3) < Sym(63)";