insols3_13:= [ PowerStructure(GrpMat) |
    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 12, 6, 2, 9, 7, 9 ],
        \[ 0, 0, 1, 1, 9, 8, 0, 1, 7 ]
        /* order = 1092 = 2^2 * 3 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 6, 12, 12, 2, 1 ],
        \[ 0, 0, 1, 12, 6, 6, 12, 5, 7 ]
        /* order = 2184 = 2^3 * 3 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 1, 0, 0, 5, 5, 12 ],
        \[ 0, 0, 1, 3, 10, 3, 11, 11, 6 ]
        /* order = 2184 = 2^3 * 3 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 5, 5, 5, 1, 0 ],
        \[ 0, 0, 1, 12, 1, 7, 0, 1, 3 ]
        /* order = 2184 = 2^3 * 3 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 1, 12, 3 ],
        \[ 11, 6, 0, 2, 2, 0, 5, 8, 4 ]
        /* order = 3276 = 2^2 * 3^2 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 4, 1, 12, 7, 11 ],
        \[ 0, 0, 1, 2, 3, 3, 3, 4, 3 ]
        /* order = 4368 = 2^4 * 3 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 6, 8, 12, 1, 5, 12 ],
        \[ 0, 0, 1, 12, 12, 1, 1, 6, 4 ]
        /* order = 4368 = 2^4 * 3 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 10, 12, 6, 4, 11, 12 ],
        \[ 0, 0, 1, 4, 5, 7, 12, 0, 0 ]
        /* order = 4368 = 2^4 * 3 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 12, 4, 12, 5, 11, 4 ],
        \[ 0, 0, 1, 1, 11, 1, 8, 11, 0 ]
        /* order = 6552 = 2^3 * 3^2 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 3, 2, 0, 10, 0, 4 ],
        \[ 0, 0, 1, 3, 6, 11, 8, 12, 11 ]
        /* order = 6552 = 2^3 * 3^2 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 8, 3, 10, 3, 3, 12 ],
        \[ 0, 0, 1, 11, 10, 8, 0, 7, 7 ]
        /* order = 6552 = 2^3 * 3^2 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 3, 12, 8, 0, 0 ],
        \[ 0, 0, 1, 0, 2, 6, 7, 6, 5 ]
        /* order = 8736 = 2^5 * 3 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 5, 3, 3, 3, 11, 2 ],
        \[ 0, 0, 1, 8, 4, 4, 7, 2, 8 ]
        /* order = 13104 = 2^4 * 3^2 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 8, 4, 8 ],
        \[ 0, 0, 1, 12, 8, 8, 9, 7, 2 ]
        /* order = 13104 = 2^4 * 3^2 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 11, 12, 8, 7, 1, 2 ],
        \[ 0, 0, 1, 8, 1, 8, 8, 6, 0 ]
        /* order = 13104 = 2^4 * 3^2 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 11, 3, 7, 10, 1 ],
        \[ 0, 0, 1, 9, 1, 9, 5, 0, 6 ]
        /* order = 26208 = 2^5 * 3^2 * 7 * 13 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 3, 6, 5, 10, 3, 12 ],
        \[ 0, 0, 1, 9, 1, 11, 6, 8, 4 ]
        /* order = 810534816 = 2^5 * 3^3 * 7 * 13^3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 12, 7, 11, 1, 0 ],
        \[ 0, 0, 1, 11, 4, 4, 10, 0, 9 ]
        /* order = 2^6 * 3^3 * 7 * 13^3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 1, 4, 12, 5, 10 ],
        \[ 0, 0, 1, 7, 0, 4, 1, 5, 6 ]
        /* order = 2^5 * 3^4 * 7 * 13^3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 12, 5, 11 ],
        \[ 1, 4, 0, 4, 1, 1, 12, 0, 7 ]
        /* order = 2^7 * 3^3 * 7 * 13^3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 5, 9, 7, 2, 10 ],
        \[ 0, 0, 1, 4, 11, 2, 10, 12, 8 ]
        /* order = 2^6 * 3^4 * 7 * 13^3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 11, 9, 0, 6, 11, 2 ],
        \[ 0, 0, 1, 0, 8, 8, 1, 10, 3 ]
        /* order = 2^7 * 3^4 * 7 * 13^3 * 61 */ >
];