/*
www-ATLAS of Group Representations.
U3(3):2 represented as permutations on 63 points.
*/

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