/*
www-ATLAS of Group Representations.
2.A12 represented as 16 x 16 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"2200000000000000",
"0000100000000000",
"0000001000000000",
"0020200000000000",
"0000000001000000",
"0002002000000000",
"0000000000001000",
"0000000000000010",
"0000020002000000",
"2122021111220121",
"1001222210001001",
"0000000200002000",
"0011022011212022",
"0000000020000020",
"2221012221021022"]);

y:=CambridgeMatrix(1,F,16,[
"0010000000000000",
"0001000000000000",
"0000010000000000",
"0000000100000000",
"0000000010000000",
"0000000000100000",
"0000000000010000",
"0000000000000100",
"0222220020000000",
"0000000000000001",
"2020111200012111",
"0102122022201102",
"1120002100001001",
"0100222022220201",
"1110022220002101",
"1000122101202011"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is 2.A12 < GL(16,GF(3))";