/*
www-ATLAS of Group Representations.
U3(3):2 represented as 12 x 12 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"000010000000",
"000001000000",
"001000000000",
"000100000000",
"000000001000",
"000000000010",
"000000100000",
"000000000001",
"000000010000",
"000000000100"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"000100000000",
"121100000000",
"022200000000",
"000000100000",
"000000010000",
"000000000100",
"021111000200",
"111111222220",
"000220120202",
"220221100211",
"020122110001"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is U3(3):2 < GL(12,GF(3))";