/*
www-ATLAS of Group Representations.
L2(19) represented as 9 x 9 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,9,[
"010000000",
"100000000",
"000010000",
"000001000",
"001000000",
"000100000",
"000000001",
"635376613",
"000000100"]);

y:=CambridgeMatrix(1,F,9,[
"001000000",
"000100000",
"202000000",
"221200000",
"000000100",
"000000010",
"110220200",
"437022638",
"782702856"]);

G<x,y>:=MatrixGroup<9,F|x,y>;
print "Group G is L2(19) < GL(9,GF(9))";