sol3_7:= [ 
    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 4, 4, 0, 0 ],
        \[ 0, 0, 1, 4, 0, 0, 0, 1, 0 ]
        /* order = 9 = 3^2 */ >,

    MatrixGroup<3, GF(7) |
        \[ 1, 0, 0, 0, 0, 1, 6, 6, 6 ],
        \[ 0, 1, 0, 6, 6, 6, 0, 0, 1 ]
        /* order = 12 = 2^2 * 3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 3, 6, 0, 0 ],
        \[ 0, 0, 1, 6, 0, 0, 0, 2, 0 ]
        /* order = 18 = 2 * 3^2 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 5, 2, 3, 5, 3, 0 ],
        \[ 0, 0, 1, 5, 3, 0, 4, 4, 6 ]
        /* order = 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 1, 0, 0, 0, 0, 1, 0, 6, 0 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 6, 0, 0 ],
        \[ 0, 1, 0, 0, 0, 6, 6, 0, 0 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 6, 6, 6 ],
        \[ 1, 0, 0, 0, 0, 1, 6, 6, 6 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 2, 0, 0 ],
        \[ 4, 0, 0, 0, 1, 0, 0, 0, 2 ]
        /* order = 27 = 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 2, 4, 0, 0 ],
        \[ 0, 0, 1, 2, 0, 0, 0, 4, 0 ]
        /* order = 27 = 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 4, 0, 0 ],
        \[ 6, 0, 0, 0, 6, 0, 0, 0, 1 ]
        /* order = 36 = 2^2 * 3^2 */ >,

    MatrixGroup<3, GF(7) |
        \[ 4, 0, 0, 0, 0, 1, 5, 5, 3 ],
        \[ 0, 1, 0, 0, 0, 2, 4, 0, 0 ]
        /* order = 36 = 2^2 * 3^2 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 1, 4, 1 ],
        \[ 1, 1, 0, 0, 1, 1, 1, 4, 2 ]
        /* order = 38 = 2 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 1, 3, 1, 2, 0, 3 ],
        \[ 0, 0, 1, 6, 2, 2, 5, 3, 6 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 5, 0, 0, 0, 3, 0, 0, 0, 6 ],
        \[ 0, 1, 0, 0, 0, 1, 3, 0, 0 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 6, 0, 0 ],
        \[ 2, 0, 0, 0, 4, 0, 0, 0, 1 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 2, 4, 0, 0 ],
        \[ 0, 0, 1, 2, 0, 0, 0, 4, 0 ],
        \[ 0, 0, 6, 0, 6, 0, 6, 0, 0 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 4, 6, 5, 1, 6, 1 ],
        \[ 0, 0, 1, 4, 1, 3, 1, 0, 0 ],
        \[ 3, 5, 4, 6, 4, 3, 0, 0, 2 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 4, 4, 2, 0, 0 ],
        \[ 0, 0, 1, 2, 0, 0, 5, 4, 0 ]
        /* order = 57 = 3 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 3, 4, 0, 2, 2, 1, 2, 1, 2 ]
        /* order = 57 = 3 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 3, 0, 0 ],
        \[ 6, 0, 0, 0, 1, 0, 0, 0, 6 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 2, 0, 0, 0, 0, 3 ],
        \[ 1, 0, 0, 0, 0, 1, 0, 6, 0 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 3, 5, 0, 0 ],
        \[ 0, 0, 1, 2, 0, 0, 0, 3, 0 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 1, 0, 0, 3, 4, 1 ],
        \[ 0, 0, 1, 3, 0, 1, 2, 5, 0 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 5, 3, 0, 5, 1, 4 ],
        \[ 0, 0, 1, 5, 3, 0, 5, 1, 4 ]
        /* order = 81 = 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 2, 0, 0 ],
        \[ 0, 6, 0, 0, 0, 2, 6, 0, 0 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 2, 6, 3, 6, 3, 6 ],
        \[ 0, 0, 1, 2, 5, 1, 4, 0, 0 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 6, 0, 3, 0, 0, 1 ],
        \[ 0, 0, 1, 5, 3, 0, 0, 3, 5 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 1, 0, 0, 0, 5, 0, 0, 0, 3 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 2, 0, 0, 3, 6, 3 ],
        \[ 0, 0, 1, 5, 2, 1, 4, 0, 0 ],
        \[ 4, 4, 6, 5, 0, 0, 1, 6, 3 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 4, 5, 1, 6 ],
        \[ 0, 0, 1, 5, 1, 6, 4, 1, 3 ]
        /* order = 114 = 2 * 3 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 6, 5, 6, 3, 3, 2 ],
        \[ 0, 0, 1, 6, 0, 0, 0, 6, 2 ]
        /* order = 114 = 2 * 3 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 3, 2, 0, 4, 5, 5 ],
        \[ 0, 3, 0, 0, 0, 1, 2, 6, 6 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 2, 4, 5, 3, 2, 3 ],
        \[ 0, 0, 1, 3, 6, 4, 1, 3, 1 ]
        /* order = 162 = 2 * 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 1, 0, 0, 0, 0, 3 ],
        \[ 6, 0, 0, 0, 0, 1, 0, 1, 0 ]
        /* order = 162 = 2 * 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 4, 0, 0 ],
        \[ 0, 1, 0, 2, 0, 0, 0, 0, 2 ]
        /* order = 162 = 2 * 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 4, 6, 2, 4, 1, 1 ],
        \[ 0, 0, 1, 1, 3, 4, 4, 2, 4 ]
        /* order = 171 = 3^2 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 5, 5, 3, 4, 3, 2 ],
        \[ 0, 0, 1, 4, 3, 2, 1, 1, 4 ]
        /* order = 171 = 3^2 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 1, 0, 6, 5, 1, 1 ],
        \[ 0, 0, 1, 6, 5, 5, 4, 4, 2 ]
        /* order = 171 = 3^2 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 4, 5, 1, 2, 6, 2 ],
        \[ 0, 0, 1, 1, 2, 3, 0, 1, 5 ]
        /* order = 171 = 3^2 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 1, 5, 4 ],
        \[ 0, 3, 0, 3, 1, 5, 0, 1, 4 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 5, 0, 0 ],
        \[ 0, 0, 1, 1, 0, 0, 0, 3, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 1, 0, 0, 0, 0, 1, 6, 6, 0 ],
        \[ 0, 1, 0, 2, 6, 2, 0, 6, 3 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 4, 1, 1, 4, 2, 6 ],
        \[ 0, 0, 1, 6, 6, 0, 2, 1, 3 ],
        \[ 1, 6, 5, 2, 2, 0, 1, 0, 1 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 4, 5, 2, 3, 4, 0 ],
        \[ 0, 0, 1, 1, 3, 4, 5, 0, 4 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 1, 0, 0, 0, 0, 1, 0, 1, 0 ],
        \[ 0, 1, 0, 5, 3, 2, 3, 0, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 3, 1, 6, 2, 4, 6 ],
        \[ 0, 0, 1, 5, 1, 2, 1, 0, 0 ],
        \[ 6, 6, 2, 4, 6, 4, 4, 0, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 4, 3, 1, 4, 1, 4 ],
        \[ 0, 0, 1, 5, 4, 0, 5, 2, 3 ]
        /* order = 324 = 2^2 * 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 1, 0, 0, 6, 6, 6 ],
        \[ 1, 1, 0, 0, 0, 1, 2, 6, 6 ]
        /* order = 324 = 2^2 * 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 3, 4, 3, 4, 3, 3 ],
        \[ 0, 0, 1, 0, 2, 3, 1, 3, 5 ]
        /* order = 342 = 2 * 3^2 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 4, 6, 2, 0, 1, 1 ],
        \[ 0, 0, 1, 2, 2, 1, 2, 1, 5 ]
        /* order = 342 = 2 * 3^2 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 5, 5, 1, 1, 3 ],
        \[ 0, 0, 1, 1, 1, 3, 1, 5, 4 ]
        /* order = 342 = 2 * 3^2 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 5, 3, 0, 6, 3, 4 ],
        \[ 0, 0, 1, 0, 1, 3, 1, 4, 6 ]
        /* order = 342 = 2 * 3^2 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 6, 1, 0, 1, 1, 6 ],
        \[ 0, 0, 1, 6, 2, 4, 3, 0, 0 ],
        \[ 1, 6, 3, 0, 4, 4, 3, 5, 1 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 4, 1, 4, 4, 4, 6 ],
        \[ 0, 0, 1, 5, 4, 6, 5, 0, 3 ],
        \[ 4, 1, 6, 3, 2, 6, 4, 6, 2 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 2, 2, 5, 0, 3, 5 ],
        \[ 0, 0, 1, 2, 6, 1, 6, 6, 6 ]
        /* order = 513 = 3^3 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 1, 0, 0, 1, 0, 5 ],
        \[ 0, 0, 1, 1, 3, 4, 6, 5, 4 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 1, 0, 2, 6, 3, 0 ],
        \[ 0, 0, 1, 4, 6, 0, 6, 0, 1 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 5, 4, 0, 5, 0, 2 ],
        \[ 0, 0, 1, 5, 0, 0, 6, 3, 1 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 4, 3, 2, 5, 5, 3 ],
        \[ 0, 0, 1, 0, 5, 0, 6, 2, 6 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 5, 3, 4, 1, 0, 4 ],
        \[ 0, 0, 1, 5, 4, 1, 0, 2, 4 ]
        /* order = 1026 = 2 * 3^3 * 19 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 2, 1, 4, 6, 4, 0 ],
        \[ 0, 0, 1, 6, 2, 5, 1, 6, 5 ]
        /* order = 1296 = 2^4 * 3^4 */ >,

    MatrixGroup<3, GF(7) |
        \[ 0, 1, 0, 0, 0, 1, 1, 3, 2 ],
        \[ 5, 6, 0, 0, 3, 1, 1, 0, 6 ]
        /* order = 1296 = 2^4 * 3^4 */ >
];