/*
M22:2 as 10 x 10 matrices over GF(2).
Representation 10b, the `cocode' representation.
Group has orbits 22 + 231 + 770 on nonzero vectors of the module.
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,10,[
"1000000000",
"0010000000",
"0100000000",
"0011100000",
"0110100000",
"1001011000",
"0010101000",
"0010100100",
"1101101010",
"0100100001"]);

y:=CambridgeMatrix(1,F,10,[
"0100000000",
"1001000000",
"0001000000",
"0010000000",
"1010010000",
"0001011100",
"1111010110",
"1001100110",
"1100001101",
"1101001110"]);

G<x,y>:=MatrixGroup<10,F|x,y>;
c:=x;d:=y;