/*
www-ATLAS of Group Representations.
L2(19):2 represented as 3 x 3 matrices over GF(19).
*/

F:=GF(19);

x:=CambridgeMatrix(3,F,3,\[
18,0,0,
0,0,18,
0,18,0]);

y:=CambridgeMatrix(3,F,3,\[
0,1,0,
6,5,10,
18,14,14]);

G<x,y>:=MatrixGroup<3,F|x,y>;
print "Group G is L2(19):2 < GL(3,GF(19))";