/*
www-ATLAS of Group Representations.
M12 represented as 16 x 16 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"1000000000000000",
"0001000000000000",
"0010000000000000",
"0000010000000000",
"0000100000000000",
"0000000010000000",
"0000000001000000",
"0000001000000000",
"0000000100000000",
"0000000000000100",
"0000000000000010",
"0212010011331213",
"0000000000100000",
"0000000000010000",
"1144333333020024"]);

y:=CambridgeMatrix(1,F,16,[
"2400000000000000",
"0010000000000000",
"2130000000000000",
"0000100000000000",
"0000001000000000",
"0000000100000000",
"0001000000000000",
"0000000000100000",
"0000000000010000",
"0000000000001000",
"0000010000000000",
"0000000000000001",
"4432404040103140",
"0031004014312420",
"1101410033101240",
"0000000010000000"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is M12 < GL(16,GF(5))";