/*
www-ATLAS of Group Representations.
L2(8) represented as 27 x 27 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"100000000000000000000000000",
"000100000000000000000000000",
"001000000000000000000000000",
"000001000000000000000000000",
"000010000000000000000000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000000000000010000000000000",
"000000000000001000000000000",
"000000000000000100000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000100000000000000",
"000000000000000000010000000",
"000000000000000001000000000",
"000000000000000000000100000",
"000000000000000010000000000",
"000000000000000000000000100",
"000000000000000000100000000",
"000000000000000000000010000",
"000000000000000000000000001",
"000000000000000000001000000",
"002112000010220100002002111",
"000000000000000000000001000"]);

y:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"001000000000000000000000000",
"100000000000000000000000000",
"000010000000000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000100000000000000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000100000000000000",
"000001000000000000000000000",
"000000000000000100000000000",
"000000000000000010000000000",
"000000000000000001000000000",
"000000000000000000100000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000000000000000001000000",
"000000000000000000000010000",
"000000000000000000000001000",
"000000000000010000000000000",
"000000000000000000000000010",
"000000000000001000000000000",
"222110100200222022222022000",
"102102012201000110002110101",
"200000000002200000220020002",
"020000000000002220000222000"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is L2(8) < GL(27,GF(3))";