/*
www-ATLAS of Group Representations.
L3(2) represented as permutations on 84 points.
*/

G<x,y>:=PermutationGroup<84|\[
1,2,4,3,9,10,11,12,5,6,7,8,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,55,56,57,58,59,60,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,62,61,64,63,67,68,65,66,71,72,69,70,84,83,81,
82,78,77,79,80,75,76,74,73]
,\[
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,1,
2,3,4,5,6,7,8,9,10,11,12,46,45,48,47,40,39,37,38,44,43,41,42,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,49,50,51,
52,53,54,55,56,57,58,59,60]
>;
print "Group G is L3(2) < Sym(84)";