/*
www-ATLAS of Group Representations.
G2(3) represented as 27 x 27 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"100000000000000000000000000",
"000010000000000000000000000",
"000001000000000000000000000",
"001000000000000000000000000",
"000100000000000000000000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000000000000010000000000000",
"000000000000001000000000000",
"000000000000000010000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000000000001000000",
"000000000000100000000000000",
"000000000000000000000010000",
"000000000000000000000001000",
"000000000000000000000000010",
"000000000000000100000000000",
"212010000011022202211111020",
"000000000000000001000000000",
"000000000000000000100000000",
"122211122112021201101022100",
"000000000000000000010000000",
"001122211201202111022020011"]);

y:=CambridgeMatrix(1,F,27,[
"001000000000000000000000000",
"000100000000000000000000000",
"120100000000000000000000000",
"102100000000000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"200220200000000000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000100000000000000",
"000001000000000000000000000",
"000000000000000100000000000",
"000000000000000001000000000",
"000000000000000000100000000",
"000000000000000000010000000",
"000000001000000000000000000",
"000000000000000000000100000",
"000000000100000000000000000",
"000000000000000000000000100",
"000000000000000000000000001",
"121222220121121021101210101",
"112202020202201222111102000",
"102002200201000122200200121",
"012021202210222102222212202",
"000000000000010000000000000",
"201012022102220002020210120",
"000000000000001000000000000"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is G2(3) < GL(27,GF(3))";