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

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

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

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

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





NQ:=PermutationGroup<24|(3, 7)(4, 19)(10, 17)(11, 12)(13, 14)(15, 21)(18, 23)(20, 22),(1, 3)(6, 19)(11, 13)(12, 23)(14, 18)(15, 21)(16, 17)(22, 24),(1, 16)(3, 17)(5, 8)(7, 10)(11, 12)(13, 23)(14, 18)(15, 21),(1, 15, 6, 21)(2, 16)(3, 7, 19, 4)(8, 23, 9, 18)(10, 17)(11, 12, 13, 14), (1, 3, 6, 19)(2, 10)(4, 21, 7, 15)(8, 11, 9, 13)(12, 23, 14, 18)(16, 17)>;



V483:=GModule(NQ,gens);

print("the Green correspondent V483 of the simple M24-module D483
over GF(3) in NQ (normalizer of vertex Q in M24), and a permutation
representation of NQ on 24 points");