/*
www-ATLAS of Group Representations.
S14 represented as permutations on 91 points.
*/

G<x,y>:=PermutationGroup<91|\[
1,4,6,2,9,3,12,8,5,17,11,7,21,14,15,16,10,27,19,20,13,33,23,24,25,
26,18,40,29,30,31,32,22,47,35,36,37,38,39,28,56,42,43,44,45,46,34,63,49,50,
51,52,53,54,55,41,57,58,59,60,61,62,48,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91]
,\[
2,5,1,8,10,4,3,14,15,18,6,16,7,23,24,9,25,28,11,12,31,13,35,36,37,
17,38,41,19,20,26,21,45,22,49,50,51,52,27,54,48,29,30,32,53,33,61,34,64,65,
66,67,39,68,40,70,42,43,44,46,75,47,77,57,72,79,80,81,55,82,56,58,59,60,69,
62,86,63,73,84,88,89,71,74,76,90,78,85,91,83,87]
>;
print "Group G is S14 < Sym(91)";