/*
www-ATLAS of Group Representations.
2.L2(13) represented as 6 x 6 matrices over GF(49).
*/

F<w>:=GF(49);

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

y:=CambridgeMatrix(3,F,6,\[
0,0,1,0,0,0,
0,0,0,1,0,0,
6,3,2,4,0,0,
6,2,1,6,0,0,
44,10,42,12,32,9,
16,27,8,33,8,23]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is 2.L2(13) < GL(6,GF(49))";