/*
www-ATLAS of Group Representations.
6.U6(2) represented as 27 x 27 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,27,[
"100000000000000000000000000",
"010000000000000000000000000",
"000001000000000000000000000",
"000100000000000000000000000",
"000010000000000000000000000",
"001000000000000000000000000",
"000000010000000000000000000",
"000000100000000000000000000",
"000000000010000000000000000",
"000000000000100000000000000",
"000000001000000000000000000",
"113100000000001000000000000",
"000000000100000000000000000",
"113100000001011000000000000",
"110103000001000000000000000",
"221200220202202100000000000",
"111102110001001010000000000",
"220201223132102001000000000",
"221200002022002000100000000",
"221200333332302000010000000",
"221200220102102000001000000",
"320201332222202000000100000",
"100103331011001000000010000",
"010003032020102000000000001",
"221300112022002000000000100",
"113110000001001000000000010",
"233201302122000000000001000"]);

y:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"001000000000000000000000000",
"200130000000000000000000000",
"300120000000000000000000000",
"000001000000000000000000000",
"100110000000000000000000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000000001000000000000000",
"000000011100000000000000000",
"000000000000010000000000000",
"000000000000000100000000000",
"000000013311110000000000000",
"000000000000000010000000000",
"000000000000000001000000000",
"000000000000000000100000000",
"000000000000000000010000000",
"000000033301310023320000000",
"000000101101000000100000000",
"000000000000000000001000000",
"000000310201302010023000000",
"000000000000000000000010000",
"000000000000000000000001000",
"000000000000000000000200130",
"000000000000000000000300120",
"000000000000000000000000001",
"000000000000000000000100110"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is 6.U6(2) < GL(27,GF(4))";