/*
www-ATLAS of Group Representations.
2.L2(7).2i represented as permutations on 112 points.
*/

G<x,y>:=PermutationGroup<112|\[
1,4,5,2,3,10,11,12,13,6,7,8,9,22,23,24,25,26,27,28,21,14,15,16,17,
18,19,20,41,42,43,44,45,46,47,48,49,50,51,52,29,30,31,32,33,34,35,36,37,38,
39,40,53,74,75,59,76,77,56,60,78,79,67,80,81,82,63,83,84,85,86,87,88,54,55,
57,58,61,62,64,65,66,68,69,70,71,72,73,105,100,106,102,96,103,107,93,108,109,101,90,
99,92,94,110,89,91,95,97,98,104,111,112]
,\[
2,3,1,6,8,7,4,9,5,14,16,18,20,15,10,17,11,19,12,21,13,29,23,31,33,
35,37,39,30,22,32,24,34,25,36,26,38,27,40,28,53,55,51,58,60,62,64,66,68,70,
57,72,54,41,56,42,43,59,44,61,45,63,46,65,47,67,48,69,49,71,50,73,52,89,86,
92,93,76,95,96,98,84,101,100,79,91,87,103,90,74,75,78,94,77,85,97,80,99,81,82,
102,83,104,88,111,108,107,112,109,105,110,106]
>;
print "Group G is 2.L2(7).2i < Sym(112)";