/*
www-ATLAS of Group Representations.
L4(4) represented as permutations on 85 points.
*/

G<x,y>:=PermutationGroup<85|\[
67,2,29,47,15,24,62,41,85,80,70,18,35,61,5,44,56,12,30,50,75,43,37,6,59,
49,66,28,3,19,82,72,81,40,13,65,23,42,60,34,8,38,22,16,64,46,4,68,26,20,
79,83,71,73,78,17,84,63,25,39,14,7,58,45,36,27,1,48,69,11,53,32,54,77,21,
76,74,55,51,10,33,31,52,57,9]
,\[
50,60,22,4,5,31,69,40,62,49,11,36,29,14,43,55,84,77,19,70,79,16,26,56,42,
48,65,35,9,32,7,41,66,59,51,2,25,78,80,21,81,82,18,73,76,74,85,72,17,20,
75,71,83,58,3,24,53,46,34,12,64,13,57,44,27,33,39,67,6,1,52,23,61,54,28,
45,15,38,8,68,30,37,63,10,47]
>;
print "Group G is L4(4) < Sym(85)";