/*
www-ATLAS of Group Representations.
A9 represented as permutations on 120 points.
*/

G<x,y>:=PermutationGroup<120|\[
2,3,1,8,11,14,17,10,21,4,12,5,29,16,34,6,18,7,41,35,23,46,9,49,51,
53,55,56,30,13,40,63,25,36,44,15,26,27,68,62,42,19,71,20,75,47,22,79,50,24,
33,58,37,86,38,57,28,83,90,92,95,31,64,32,85,99,102,69,39,104,72,43,108,109,76,
45,107,111,80,48,74,113,52,61,98,87,54,116,67,91,59,93,60,120,84,103,73,65,101,94,
66,89,118,105,70,115,110,97,81,77,112,78,114,82,119,117,88,96,106,100]
,\[
1,4,6,9,2,15,3,20,22,24,16,27,5,32,35,37,38,8,7,42,40,31,48,33,10,
11,39,12,59,61,13,52,14,23,43,66,67,58,17,18,30,45,19,73,21,77,79,57,74,56,
55,25,84,26,88,89,90,28,36,29,95,96,70,68,34,100,83,76,103,41,97,106,47,44,50,
99,108,46,81,86,49,51,54,102,53,64,85,112,104,98,63,118,75,60,91,69,62,65,111,94,
92,117,105,119,71,78,72,107,101,115,80,110,87,109,82,120,113,116,93,114]
>;
print "Group G is A9 < Sym(120)";