/*
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",
"000100000000000000000000000",
"001000000000000000000000000",
"000001000000000000000000000",
"000010000000000000000000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000000000000010000000000000",
"000000000000001000000000000",
"000000000000000010000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000000000001000000",
"000000000000100000000000000",
"000000000000000000000010000",
"000000000000000000000001000",
"000000000000000000000000010",
"000000000000000100000000000",
"121212122112021200211101020",
"000000000000000001000000000",
"000000000000000000100000000",
"001212122112221011200021100",
"000000000000000000010000000",
"210012211202101222111012021"]);

y:=CambridgeMatrix(1,F,27,[
"110000000000000000000000000",
"001000000000000000000000000",
"022000000000000000000000000",
"000010000000000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000100000000000000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000100000000000000",
"000001000000000000000000000",
"000000000000000100000000000",
"000000000000000001000000000",
"000000000000000000100000000",
"000000000000000000010000000",
"000000001000000000000000000",
"000000000000000000000100000",
"000000000100000000000000000",
"000000000000000000000000100",
"000000000000000000000000001",
"022100010100000011101110002",
"021002022222211222110200101",
"102210000120121002202201121",
"120002022011021212010101202",
"000000000000010000000000000",
"012211211000010112221002121",
"000000000000001000000000000"]);

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