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

F:=GF(19);

x:=CambridgeMatrix(3,F,2,\[
0,18,
1,0]);

y:=CambridgeMatrix(3,F,2,\[
0,1,
18,18]);

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