W:=GF(4).1;


gens:=[Matrix(GF(4),6,6,[1, W, W^2, 1, 1, 0, 0, W^2, 1, 1, 0, W, 1, 1, 0, 0,
    W, W^2, W^2, W^2, 0, 1, 1, 1, 1, W^2, W^2, W, 1, W, 1, W, W, 1, 
    0, W ]),

    Matrix(GF(4),6,6,[1, 1, 1, 1, W^2, 1, 0, 1, 0, W, 1, 0, 0, W^2, W^2, 
    W, W, W^2, 1, 1, W^2, W, 0, W^2, W^2, W, 0, W, W^2, W^2, 1, 1, 
    W^2, 1, 1, W ]),

    Matrix(GF(4),6,6,[W, 0, 0, W^2, 0, W^2, W^2, 0, 0, W^2, W^2, W^2, 0, 
    0, W^2, 1, W, 0, W^2, W^2, W^2, W^2, W^2, W^2, 1, W, 0, 1, 0, 1,
    W^2, 0, W, W, W, W ]),

    Matrix(GF(4),6,6,[W, 0, W, W, W, W^2, W, W^2, 1, 1, 0, W, 1, 0, W, 
    W^2, W^2, 1, 0, W^2, 0, 1, W, 0, W^2, W^2, W, W, 1, W^2, W, 0, 
    1, 1, 1, W^2 ]),

    Matrix(GF(4),6,6,[1, W, 0, 0, 1, 0, 0, W, 0, 0, W, 0, 1, W^2, 1, W, 
    0, 1, W^2, W^2, 0, 0, W^2, W^2, 0, 1, 0, 0, W, 0, 1, 1, 0, W, 1,
    0 ]),

    Matrix(GF(4),6,6,[0, 0, 1, 0, 0, 1, 0, W, 0, 0, W, 0, 0, W^2, 1, 0, 
    W, 0, 0, W^2, 0, 1, W, 0, 0, 1, 0, 0, W, 0, 1, W^2, 1, 0, W, 0 ]),

    Matrix(GF(4),6,6,[0, W, 1, 0, 1, 1, 0, 1, W, W^2, W^2, 0, 0, 0, W, 1,
    1, 0, 0, 0, 1, W^2, W, 0, 0, 0, W^2, 1, 0, 0, 1, W, W, 1, 0, 0 ])];





print("action generators of the Green correspondent of the simple 
3.M22-module D6d over GF(4) in N (normalizer of vertex P in 3.M22)");