/*
www-ATLAS of Group Representations.
A14 represented as permutations on 91 points.
*/

G<x,y>:=PermutationGroup<91|\[
2,3,1,6,7,8,11,4,14,10,5,12,20,15,9,24,17,13,19,18,31,22,23,25,16,
36,27,28,29,21,30,45,33,34,35,37,26,51,39,40,41,42,32,44,43,61,47,48,49,50,
52,38,68,54,55,56,57,58,46,60,59,62,63,64,65,66,67,69,53,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91]
,\[
3,5,7,1,10,2,13,11,4,17,18,6,21,8,23,9,27,28,12,30,32,14,20,15,35,
16,39,40,19,42,43,46,22,24,44,25,50,26,54,55,29,57,58,31,59,53,33,34,36,65,
37,67,38,56,70,41,71,72,73,45,69,47,48,49,60,51,79,52,81,75,82,83,84,61,62,
63,64,66,85,68,89,76,86,90,74,77,78,80,91,87,88]
>;
print "Group G is A14 < Sym(91)";