/*
2"S6(2) as 8 x 8 matrices over Z.
*/

F:=RationalField();

G<x,y>:=MatrixGroup<8,F|\[
0,1,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,
0,0,-1,0,0,0,0,0,
0,0,0,0,0,1,0,0,
0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,1,
0,0,0,0,0,0,-1,0]
,\[
1,0,0,0,0,0,0,0,
0,0,1,0,-1,0,0,0,
0,1,0,0,0,0,1,-1,
-1,0,1,0,0,1,0,1,
0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,1,
0,0,0,0,1,0,0,1,
1,0,0,0,0,0,-1,0]
>;

A:=x;B:=y;