/*
www-ATLAS of Group Representations.
2.L2(11) represented as 8 x 8 matrices over GF(11).
*/

F:=GF(11);

x:=CambridgeMatrix(3,F,8,\[
0,1,0,0,0,0,0,0,
10,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,
0,0,10,0,0,0,0,0,
0,0,0,0,0,1,0,0,
0,0,0,0,10,0,0,0,
4,1,5,8,5,7,10,9,
3,7,10,4,5,10,1,1]);

y:=CambridgeMatrix(3,F,8,\[
0,10,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,
10,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,
0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,1,
0,0,0,1,0,0,0,0,
6,5,5,9,9,10,9,10]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is 2.L2(11) < GL(8,GF(11))";