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

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