/*
www-ATLAS of Group Representations.
A12 represented as 16 x 16 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"1100000000000000",
"0000100000000000",
"0000001000000000",
"0010100000000000",
"0000000010000000",
"0001001000000000",
"0000000000010000",
"0000010010000000",
"3012330231200300",
"0000000000000001",
"0000000100010000",
"2132211130032000",
"0110313002030003",
"2023212200012030",
"0000000000100001"]);

y:=CambridgeMatrix(1,F,16,[
"0010000000000000",
"0001000000000000",
"0000010000000000",
"0111000000000000",
"0000000100000000",
"0000000001000000",
"0000000000100000",
"0000000000001000",
"0000000000000100",
"0000000000000010",
"1333331332212003",
"1333130113210311",
"3010103233300210",
"1103213200230002",
"1112121123322033",
"0212230001110323"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is A12 < GL(16,GF(4))";