/*
www-ATLAS of Group Representations.
M12:2 represented as 22 x 22 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0001000000000000000000",
"0010000000000000000000",
"0000010000000000000000",
"0000100000000000000000",
"0000000010000000000000",
"0000000001000000000000",
"0000001000000000000000",
"0000000100000000000000",
"0000000000001000000000",
"0000000000000100000000",
"0000000000100000000000",
"0000000000010000000000",
"0000000000000001000000",
"0000000000000010000000",
"0000000000000000001000",
"0000000000000000000100",
"0000000000000000100000",
"0000000000000000010000",
"0000000000000000000001",
"0000000000000000000010"]);

y:=CambridgeMatrix(1,F,22,[
"0010000000000000000000",
"2440000000000000000000",
"3410000000000000000000",
"0000100000000000000000",
"0000001000000000000000",
"0000000100000000000000",
"0001000000000000000000",
"0000000000100000000000",
"0000000000010000000000",
"2224214401000000000000",
"0000010000000000000000",
"3343313140140000000000",
"0000000000000010000000",
"3132331330104110000000",
"0000000000000000100000",
"0000000000000000010000",
"0000000000001000000000",
"0000000000000000000010",
"1222400140140000001000",
"4140113410311041040100",
"0000000000000001000000",
"0432404100400000000001"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is M12:2 < GL(22,GF(5))";