sol2_7:= [ PowerStructure(GrpMat) |
    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 0 ]
        /* order = 4 = 2^2 */ >,

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

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 3 ]
        /* order = 8 = 2^3 */ >,

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 0 ],
        \[ 4, 5, 5, 3 ]
        /* order = 8 = 2^3 */ >,

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 0 ],
        \[ 1, 0, 0, 6 ]
        /* order = 8 = 2^3 */ >,

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 0 ],
        \[ 4, 0, 0, 2 ]
        /* order = 12 = 2^2 * 3 */ >,

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

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

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 3 ],
        \[ 6, 1, 5, 1 ]
        /* order = 16 = 2^4 */ >,

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 1, 6 ]
        /* order = 16 = 2^4 */ >,

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 3 ],
        \[ 1, 0, 3, 6 ]
        /* order = 16 = 2^4 */ >,

    MatrixGroup<2, GF(7) |
        \[ 1, 0, 3, 6 ],
        \[ 0, 1, 5, 3 ]
        /* order = 18 = 2 * 3^2 */ >,

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

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 0 ],
        \[ 4, 5, 5, 3 ],
        \[ 2, 0, 0, 2 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 0 ],
        \[ 4, 5, 5, 3 ],
        \[ 4, 1, 0, 2 ]
        /* order = 24 = 2^3 * 3 */ >,

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

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 0 ],
        \[ 5, 4, 4, 2 ],
        \[ 1, 0, 5, 4 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 1, 0 ],
        \[ 2, 0, 0, 4 ],
        \[ 1, 0, 0, 6 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(7) |
        \[ 1, 0, 6, 6 ],
        \[ 0, 1, 1, 6 ]
        /* order = 32 = 2^5 */ >,

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

    MatrixGroup<2, GF(7) |
        \[ 1, 0, 3, 6 ],
        \[ 6, 0, 0, 6 ],
        \[ 0, 1, 5, 3 ]
        /* order = 36 = 2^2 * 3^2 */ >,

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

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

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

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

    MatrixGroup<2, GF(7) |
        \[ 0, 1, 6, 0 ],
        \[ 4, 5, 5, 3 ],
        \[ 2, 0, 0, 2 ],
        \[ 4, 1, 0, 2 ]
        /* order = 72 = 2^3 * 3^2 */ >,

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

    MatrixGroup<2, GF(7) |
        \[ 1, 0, 6, 6 ],
        \[ 2, 0, 0, 2 ],
        \[ 0, 1, 1, 6 ]
        /* order = 96 = 2^5 * 3 */ >,

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