/*
www-ATLAS of Group Representations.
U3(4) represented as 12 x 12 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"000100000000",
"001000000000",
"000001000000",
"000010000000",
"001122200000",
"000000001000",
"000000010000",
"112211000200",
"002211000020",
"001111022002"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"022000000000",
"121000000000",
"000010000000",
"000000100000",
"000000010000",
"000100000000",
"000000000100",
"000000000010",
"000001000000",
"000000000001",
"000000001000"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is U3(4) < GL(12,GF(3))";