/*
www-ATLAS of Group Representations.
U3(4) represented as 12 x 12 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"000100000000",
"001000000000",
"000001000000",
"000010000000",
"112244400000",
"000000001000",
"000000010000",
"443322033400",
"220022011040",
"222211044004"]);

y:=CambridgeMatrix(1,F,12,[
"410000000000",
"001000000000",
"241000000000",
"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(5))";