/*
www-ATLAS of Group Representations.
13^2:2L2(13).4 represented as 3 x 3 matrices over GF(13).
*/

F:=GF(13);

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

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

G<x,y>:=MatrixGroup<3,F|x,y>;
print "Group G is 13^2:2L2(13).4 < GL(3,GF(13))";