/*
www-ATLAS of Group Representations.
U4(2) represented as permutations on 45 points.
*/

G<x,y>:=PermutationGroup<45|\[
2,1,3,6,5,4,10,8,9,7,13,15,11,18,12,20,22,14,19,16,21,17,23,28,30,
32,29,24,27,25,33,26,31,38,35,36,37,34,40,39,41,43,42,44,45]
,\[
3,4,5,7,8,9,11,10,12,1,14,16,17,2,19,21,23,24,20,25,6,26,27,29,31,
33,34,35,36,22,15,18,37,13,39,32,30,28,41,42,38,44,40,45,43]
>;
print "Group G is U4(2) < Sym(45)";