gens:=[
    Matrix(GF(3),5,5,[1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 
    0, 0, 2 ]),

    Matrix(GF(3),5,5,[1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 
    0, 1, 0 ]),

    Matrix(GF(3),5,5,[2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 
    0, 0, 1 ])
];




N:=PermutationGroup<23|(2, 15)(4, 18)(5, 12)(7, 11)(9, 20)(14, 21)(16, 19)(17, 22), (2, 10, 15, 5)(6, 22, 18, 9)(7, 20, 17, 11)(8, 12)(13, 23, 21, 19)(14, 16), (1, 3)(2, 15)(5, 21)(7, 9)(10, 13)(11, 20)(12, 14)(17, 22)>;



V104d:=GModule(N,gens);

print("the Green correspondent V104d of the simple M23-module D104d over GF(3)
in N (normalizer of vertex P in M23); and a permutation representation of N 
on 23 points");