/*
www-ATLAS of Group Representations.
L2(11) represented as 7 x 7 matrices over GF(11).
*/

F:=GF(11);

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

y:=CambridgeMatrix(3,F,7,\[
0,0,1,0,0,0,0,
0,0,0,1,0,0,0,
1,10,0,1,0,0,0,
1,0,10,1,0,0,0,
0,0,0,0,0,0,1,
10,3,6,2,7,1,8,
10,0,0,10,10,0,10]);

G<x,y>:=MatrixGroup<7,F|x,y>;
print "Group G is L2(11) < GL(7,GF(11))";