/*
www-ATLAS of Group Representations.
L2(7):2 represented as permutations on 84 points.
*/

G<x,y>:=PermutationGroup<84|\[
2,1,7,8,9,10,3,4,5,6,19,20,21,15,14,22,23,24,11,12,13,16,17,18,37,
38,39,40,41,42,43,44,45,46,47,48,25,26,27,28,29,30,31,32,33,34,35,36,69,60,
70,71,59,68,67,64,63,72,53,50,73,74,57,56,75,76,55,54,49,51,52,58,61,62,65,
66,83,82,81,84,79,78,77,80]
,\[
3,5,4,1,6,2,11,13,15,17,12,7,14,8,16,9,18,10,25,27,29,31,33,35,26,
19,28,20,30,21,32,22,34,23,36,24,49,50,52,37,54,56,58,60,62,64,66,68,40,51,
38,53,39,55,41,57,42,59,43,61,44,63,45,65,46,67,47,69,48,77,79,74,72,73,81,
83,78,70,80,71,82,75,84,76]
>;
print "Group G is L2(7):2 < Sym(84)";