/*
www-ATLAS of Group Representations.
U3(4) represented as 18 x 18 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,18,[
"010000000000000000",
"100000000000000000",
"000100000000000000",
"001000000000000000",
"000001000000000000",
"000010000000000000",
"000000001000000000",
"000000000100000000",
"000000100000000000",
"000000010000000000",
"000000000000010000",
"111100000001000000",
"000000000000000100",
"000000000010000000",
"000000000000000001",
"000000000000100000",
"220000232310210210",
"000000000000001000"]);

y:=CambridgeMatrix(1,F,18,[
"110000000000000000",
"001000000000000000",
"011000000000000000",
"000010000000000000",
"000000100000000000",
"000000010000000000",
"000100000000000000",
"000000000010000000",
"000000000001000000",
"000000000000100000",
"000001000000000000",
"000000000000001000",
"000000000000000010",
"001232332331220200",
"000000001000000000",
"111310310113313023",
"000000000100000000",
"100312002110303202"]);

G<x,y>:=MatrixGroup<18,F|x,y>;
print "Group G is U3(4) < GL(18,GF(4))";