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

F:=GF(13);

x:=CambridgeMatrix(3,F,4,\[
0,1,0,0,
12,0,0,0,
6,5,2,7,
12,7,3,11]);

y:=CambridgeMatrix(3,F,4,\[
0,0,1,0,
0,0,0,1,
12,3,2,10,
12,2,1,12]);

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