/*
www-ATLAS of Group Representations.
S15 represented as permutations on 105 points.
*/

G<x,y>:=PermutationGroup<105|\[
1,15,16,17,18,19,20,21,22,23,24,25,26,27,2,3,4,5,6,7,8,9,10,11,12,
13,14,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,
101,102,103,104,105]
,\[
14,1,2,3,4,5,6,7,8,9,10,11,12,13,27,39,50,60,69,77,84,90,95,99,102,
104,105,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,
40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,
67,68,70,71,72,73,74,75,76,78,79,80,81,82,83,85,86,87,88,89,91,92,93,94,96,
97,98,100,101,103]
>;
print "Group G is S15 < Sym(105)";