/*
www-ATLAS of Group Representations.
L2(11) represented as 5 x 5 matrices over GF(11).
*/

F:=GF(11);

x:=CambridgeMatrix(3,F,5,\[
0,1,0,0,0,
1,0,0,0,0,
0,0,0,1,0,
0,0,1,0,0,
5,6,5,6,1]);

y:=CambridgeMatrix(3,F,5,\[
1,0,0,0,0,
0,0,1,0,0,
0,10,10,0,0,
0,0,0,0,1,
4,0,0,10,10]);

G<x,y>:=MatrixGroup<5,F|x,y>;
print "Group G is L2(11) < GL(5,GF(11))";