/*
www-ATLAS of Group Representations.
U3(4):4 represented as 12 x 12 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"000010000000",
"000000100000",
"001000000000",
"000000000100",
"000100000000",
"335655620500",
"773035002500",
"000001000000",
"331611600120",
"888583500302"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"000100000000",
"000001000000",
"000000010000",
"000000001000",
"100210012000",
"000000000010",
"122022011000",
"020022002000",
"000000000001",
"383128321338",
"032323301126"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is U3(4):4 < GL(12,GF(9))";