/*
www-ATLAS of Group Representations.
A9 represented as permutations on 84 points.
*/

G<x,y>:=PermutationGroup<84|\[
1,4,7,6,11,2,8,3,17,20,13,24,5,10,29,15,18,9,34,14,38,40,37,25,12,
22,23,21,16,49,30,50,32,35,19,36,27,28,60,26,63,64,62,42,43,41,39,48,31,33,
72,51,70,73,53,54,57,58,59,47,61,45,46,44,81,65,67,68,69,55,71,52,56,74,75,
76,77,78,79,80,66,82,83,84]
,\[
2,5,1,10,12,14,4,6,3,21,22,19,26,28,7,8,23,27,9,36,39,41,11,42,44,
46,13,47,37,15,16,17,18,53,55,57,20,58,30,61,51,65,24,66,25,52,31,29,68,70,
32,33,43,34,45,35,67,74,38,75,77,40,78,80,54,56,48,62,49,59,50,82,64,71,84,
60,69,83,63,76,79,81,72,73]
>;
print "Group G is A9 < Sym(84)";