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

F:=GF(13);

x:=CambridgeMatrix(3,F,3,\[
1,0,0,
3,12,0,
3,0,12]);

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

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