/*
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",
"0000000001000000",
"0001001000000000",
"0000000000001000",
"0000000000000010",
"0000010001000000",
"2123130011220001",
"3103001030030010",
"0000000100001000",
"0230212033030200",
"0000000010000010",
"1203031021000033"]);

y:=CambridgeMatrix(1,F,16,[
"1000000000000000",
"0010000000000000",
"0001000000000000",
"0000010000000000",
"0000000100000000",
"0000000010000000",
"0000000000100000",
"0000000000010000",
"0000000000000100",
"2110332101122210",
"0000000000000001",
"2123131210001000",
"2231133330123300",
"2110232310022200",
"3211121131320110",
"3012033011113003"]);

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