/*
www-ATLAS of Group Representations.
2.PGL2(7) represented as permutations on 96 points.
*/

G<x,y>:=PermutationGroup<96|\[
2,6,9,1,13,4,17,19,15,3,18,20,16,5,10,14,11,7,12,8,37,39,38,40,41,
36,42,34,43,45,44,46,47,26,48,28,23,21,24,22,27,25,31,29,32,30,35,33,73,62,
74,64,75,66,76,68,77,79,78,80,81,52,82,50,83,56,84,54,85,87,86,88,51,49,55,
53,59,57,60,58,63,61,67,65,71,69,72,70,94,93,96,95,89,90,91,92]
,\[
3,7,5,11,1,15,8,2,21,23,12,4,25,27,16,6,29,31,33,35,22,9,24,10,26,
13,28,14,30,17,32,18,34,19,36,20,49,51,53,55,57,59,61,63,65,67,69,71,50,37,
52,38,54,39,56,40,58,41,60,42,62,43,64,44,66,45,68,46,70,47,72,48,79,80,77,
78,91,92,89,90,87,88,85,86,95,96,93,94,73,74,75,76,81,82,83,84]
>;
print "Group G is 2.PGL2(7) < Sym(96)";