/*
www-ATLAS of Group Representations.
U3(4):4 represented as 24 x 24 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"100000000000000000000000",
"000100000000000000000000",
"001000000000000000000000",
"000000100000000000000000",
"000000010000000000000000",
"000010000000000000000000",
"000001000000000000000000",
"000000000001000000000000",
"000000000000010000000000",
"000000000000000100000000",
"000000001000000000000000",
"000000000000000000100000",
"000000000100000000000000",
"002220201201222000200000",
"000000000010000000000000",
"111101010010000120000000",
"112200002122010202000000",
"000000000000100000000000",
"002222221201020000020000",
"001120202102110000102000",
"000000001001200000200200",
"222202021111210100200020",
"111121211011100100100002"]);

y:=CambridgeMatrix(1,F,24,[
"020000000000000000000000",
"001000000000000000000000",
"000010000000000000000000",
"000001000000000000000000",
"200000000000000000000000",
"000000001000000000000000",
"000000000100000000000000",
"000000000010000000000000",
"000000000000100000000000",
"000000000000001000000000",
"000000000000000010000000",
"000000000000000001000000",
"000100000000000000000000",
"000000000000000000010000",
"000000000000000000001000",
"000000000000000000000100",
"000000000000000000000010",
"000000000000000000000001",
"021020120012011120212101",
"001120221010011212102002",
"000000100000000000000000",
"212102122020020002020112",
"000000010000000000000000",
"201122000200021021222120"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is U3(4):4 < GL(24,GF(3))";