sol6_2:= [ 
    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
        1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0 ]
        /* order = 9 = 3^2 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0,
        0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0 ],
        \[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0,
        0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0 ]
        /* order = 14 = 2 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
        1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0,
        0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0 ]
        /* order = 18 = 2 * 3^2 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0,
        0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0,
        0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0 ]
        /* order = 21 = 3 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0,
        1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0 ],
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
        1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0 ]
        /* order = 27 = 3^3 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0,
        0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 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, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ]
        /* order = 27 = 3^3 */ >,

    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,
        0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1,
        1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0 ]
        /* order = 42 = 2 * 3 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
        1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0,
        0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0 ]
        /* order = 42 = 2 * 3 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0,
        1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0,
        1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
        0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0,
        0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1,
        1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0,
        0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0 ],
        \[ 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0,
        1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0,
        0, 0, 1, 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, 1, 0, 1,
        0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0 ]
        /* order = 63 = 3^2 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
        0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1,
        0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0 ]
        /* order = 63 = 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, 0, 0,
        0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1,
        0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1 ]
        /* order = 63 = 3^2 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
        1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0 ],
        \[ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1,
        0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1 ]
        /* order = 81 = 3^4 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0,
        1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0 ],
        \[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
        0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1 ]
        /* order = 98 = 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, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0,
        0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0,
        1, 1, 0, 1, 1, 1, 0, 0, 1, 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,
        0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,
        1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0,
        1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1 ]
        /* order = 126 = 2 * 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, 0, 0,
        1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0,
        1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0 ]
        /* order = 126 = 2 * 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, 0, 0, 0, 1,
        1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1,
        1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1 ]
        /* order = 162 = 2 * 3^4 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
        1, 0, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ]
        /* order = 162 = 2 * 3^4 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0,
        0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1 ],
        \[ 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1,
        0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0,
        1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0 ]
        /* order = 162 = 2 * 3^4 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1,
        1, 1, 1, 1, 1, 1, 0, 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, 1, 1, 1, 1,
        1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0 ]
        /* order = 189 = 3^3 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0,
        0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0 ],
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1,
        1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
        0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
        0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    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, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0,
        1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    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, 0,
        1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1,
        0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1 ]
        /* order = 294 = 2 * 3 * 7^2 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0,
        0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1,
        0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0 ]
        /* order = 294 = 2 * 3 * 7^2 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1,
        1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0,
        1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ]
        /* order = 324 = 2^2 * 3^4 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
        0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0 ],
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0,
        0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ]
        /* order = 324 = 2^2 * 3^4 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1,
        0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0,
        1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0 ]
        /* order = 378 = 2 * 3^3 * 7 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
        0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0 ],
        \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1,
        1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    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,
        0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0,
        0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0,
        0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0,
        1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    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, 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, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1,
        0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0,
        1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    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, 0,
        0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0 ],
        \[ 1, 0, 0, 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, 1, 0, 1, 0, 1, 0, 0, 1 ]
        /* order = 882 = 2 * 3^2 * 7^2 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
        0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0,
        0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ]
        /* order = 1296 = 2^4 * 3^4 */ >,

    MatrixGroup<6, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
        0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0,
        1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 ]
        /* order = 1296 = 2^4 * 3^4 */ >
];