insol6_2:= [
    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0,
        0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
        0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
        /* order = 336 = 2^4 * 3 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0,
        0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1,
        1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0 ]
        /* order = 504 = 2^3 * 3^2 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1,
        1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0,
        1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0 ]
        /* order = 504 = 2^3 * 3^2 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0,
        0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1,
        0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1 ]
        /* order = 1008 = 2^4 * 3^2 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1,
        1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1,
        0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1 ]
        /* order = 1080 = 2^3 * 3^3 * 5 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
        0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0,
        0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0 ]
        /* order = 1512 = 2^3 * 3^3 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1,
        0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0,
        1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0 ]
        /* order = 2160 = 2^4 * 3^3 * 5 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1,
        0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,
        1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
        /* order = 2520 = 2^3 * 3^2 * 5 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0,
        0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1,
        0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1 ]
        /* order = 3528 = 2^3 * 3^2 * 7^2 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0,
        1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1,
        0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0 ]
        /* order = 5040 = 2^4 * 3^2 * 5 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1,
        1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1,
        1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ]
        /* order = 6048 = 2^5 * 3^3 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1,
        1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0,
        0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1 ]
        /* order = 10584 = 2^3 * 3^3 * 7^2 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
        0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1,
        1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0 ]
        /* order = 12096 = 2^6 * 3^3 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1,
        1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0 ],
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1,
        0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0 ]
        /* order = 20160 = 2^6 * 3^2 * 5 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
        0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1,
        1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1 ]
        /* order = 25920 = 2^6 * 3^4 * 5 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1,
        0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0,
        0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0 ]
        /* order = 40320 = 2^7 * 3^2 * 5 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0,
        0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1,
        1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0 ]
        /* order = 51840 = 2^7 * 3^4 * 5 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1,
        1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1,
        0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1 ]
        /* order = 56448 = 2^7 * 3^2 * 7^2 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1,
        0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0,
        1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0 ]
        /* order = 60480 = 2^6 * 3^3 * 5 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1,
        1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0,
        0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0 ]
        /* order = 120960 = 2^7 * 3^3 * 5 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0,
        0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1,
        1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1 ]
        /* order = 181440 = 2^6 * 3^4 * 5 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1,
        1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0,
        0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0 ]
        /* order = 362880 = 2^7 * 3^4 * 5 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1,
        1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0,
        0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1 ]
        /* order = 1451520 = 2^9 * 3^4 * 5 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
        0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1,
        1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1 ]
        /* order = 2^15 * 3^4 * 5 * 7^2 * 31 */ >
];