sols3_13:= [ PowerStructure(GrpMat) |
    MatrixGroup<3, GF(13) |
        \[ 3, 0, 0, 0, 3, 0, 0, 0, 3 ],
        \[ 0, 1, 0, 0, 0, 1, 9, 0, 0 ]
        /* order = 9 = 3^2 */ >,

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

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 4, 4, 0, 0 ],
        \[ 0, 0, 1, 4, 0, 0, 0, 1, 0 ]
        /* order = 18 = 2 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 12, 12, 12 ],
        \[ 0, 1, 0, 1, 10, 6, 5, 7, 3 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 1, 0, 0, 0, 1, 0, 0, 0, 12 ],
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 12, 0, 0, 0, 0, 1, 0, 1, 0 ],
        \[ 0, 1, 0, 12, 0, 0, 0, 0, 1 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 3, 1, 0, 0 ],
        \[ 0, 0, 1, 9, 0, 0, 0, 1, 0 ]
        /* order = 27 = 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 1, 0, 0, 0, 3, 0, 0, 0, 9 ],
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ]
        /* order = 27 = 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 1, 0, 0, 0, 0, 1, 4, 12, 12 ],
        \[ 0, 1, 0, 3, 0, 0, 10, 4, 4 ]
        /* order = 36 = 2^2 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 12, 10, 0, 0 ],
        \[ 0, 0, 1, 3, 0, 0, 0, 3, 0 ]
        /* order = 36 = 2^2 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 11, 0, 0 ],
        \[ 0, 8, 0, 0, 0, 8, 10, 0, 0 ]
        /* order = 36 = 2^2 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 12, 0, 0, 6, 9, 8 ],
        \[ 0, 0, 1, 0, 12, 0, 5, 6, 9 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 12, 0, 0 ],
        \[ 0, 0, 1, 0, 12, 0, 12, 0, 0 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 8, 0, 0, 0, 12, 0, 0, 0, 8 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 5, 0, 0 ],
        \[ 0, 0, 1, 5, 0, 0, 0, 8, 0 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 3, 0, 0 ],
        \[ 0, 12, 0, 0, 0, 10, 12, 0, 0 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 3, 9, 0, 0 ],
        \[ 0, 0, 1, 0, 3, 0, 9, 0, 0 ],
        \[ 1, 0, 0, 0, 0, 9, 0, 3, 0 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 12, 0, 0 ],
        \[ 12, 0, 0, 0, 10, 0, 0, 0, 4 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 9, 0, 0, 0, 3, 0, 0, 0, 1 ],
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 0, 4, 0, 4, 0, 0, 0, 0, 4 ]
        /* order = 54 = 2 * 3^3 */ >,

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

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 4, 0, 0 ],
        \[ 0, 4, 0, 0, 0, 4, 10, 0, 0 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 10, 0, 0, 0, 3, 0, 0, 0, 3 ],
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 10, 0, 5, 8, 11, 0 ],
        \[ 0, 0, 1, 4, 0, 2, 11, 3, 10 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 0, 0, 0, 0, 3 ],
        \[ 0, 9, 0, 0, 0, 1, 3, 0, 0 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 3, 0, 0 ],
        \[ 1, 0, 0, 0, 1, 0, 0, 0, 3 ]
        /* order = 81 = 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 12, 0, 0 ],
        \[ 8, 0, 0, 0, 5, 0, 0, 0, 1 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 1, 0, 0, 0, 0, 5 ],
        \[ 0, 0, 1, 0, 1, 0, 12, 0, 0 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 1, 0, 0, 0, 0, 8, 0, 8, 0 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 3, 8, 7, 11, 4, 0 ],
        \[ 0, 0, 1, 2, 1, 11, 1, 0, 0 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 4, 0, 0, 0, 0, 3, 0, 1, 0 ],
        \[ 0, 1, 0, 0, 0, 3, 4, 0, 0 ],
        \[ 0, 0, 1, 0, 9, 0, 3, 0, 0 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 10, 0, 0, 0, 1, 0, 0, 0, 4 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 8, 0, 0 ],
        \[ 1, 0, 0, 0, 9, 0, 0, 0, 3 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 12, 0, 0, 0, 0, 8 ],
        \[ 0, 11, 0, 0, 0, 1, 7, 0, 0 ],
        \[ 0, 10, 0, 9, 0, 0, 0, 0, 5 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 6, 8, 0, 0 ],
        \[ 0, 0, 1, 11, 0, 0, 0, 12, 0 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 10, 0, 0, 0, 1, 0, 0, 0, 4 ],
        \[ 0, 1, 0, 0, 0, 1, 9, 0, 0 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 9, 11, 5, 3, 6, 8 ],
        \[ 0, 0, 1, 9, 5, 11, 1, 0, 0 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 10, 9, 9, 12 ],
        \[ 0, 0, 1, 4, 3, 3, 10, 11, 10 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 10, 0, 4, 9, 3 ],
        \[ 0, 1, 0, 0, 0, 1, 1, 12, 1 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 3, 3, 8, 4, 10, 11 ],
        \[ 0, 0, 1, 4, 10, 11, 11, 11, 6 ]
        /* order = 122 = 2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 0, 0, 0, 0, 2 ],
        \[ 0, 7, 0, 0, 0, 1, 11, 0, 0 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 9, 0, 0 ],
        \[ 4, 0, 0, 0, 6, 0, 0, 0, 6 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 11, 0, 0, 0, 2, 0, 0, 0, 11 ],
        \[ 0, 1, 0, 0, 0, 1, 12, 0, 0 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 12, 0, 0 ],
        \[ 0, 4, 0, 3, 0, 0, 0, 0, 1 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 2, 7, 0, 0 ],
        \[ 0, 0, 1, 7, 0, 0, 0, 2, 0 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 8, 0, 0, 0, 8, 0, 0, 0, 5 ],
        \[ 0, 1, 0, 0, 0, 1, 10, 0, 0 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 3, 4, 0, 0 ],
        \[ 0, 0, 1, 12, 0, 0, 0, 4, 0 ]
        /* order = 162 = 2 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 7, 1, 6, 9, 3, 12 ],
        \[ 0, 0, 1, 7, 1, 6, 1, 0, 0 ]
        /* order = 162 = 2 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 10, 5, 0, 0, 3 ],
        \[ 0, 0, 1, 10, 3, 9, 0, 12, 9 ]
        /* order = 162 = 2 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 1, 12, 8 ],
        \[ 0, 9, 0, 0, 0, 9, 9, 4, 7 ]
        /* order = 183 = 3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 12, 12, 0, 4, 4, 1 ],
        \[ 0, 0, 1, 8, 3, 6, 0, 5, 10 ]
        /* order = 183 = 3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 8, 5, 1 ],
        \[ 0, 5, 0, 4, 12, 11, 7, 4, 1 ]
        /* order = 192 = 2^6 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 0, 1, 0, 0, 0, 5, 12, 0, 0 ]
        /* order = 192 = 2^6 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 5, 5, 1, 1, 0, 0 ],
        \[ 0, 0, 1, 1, 0, 0, 0, 12, 0 ]
        /* order = 192 = 2^6 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 4, 12, 12, 0, 10 ],
        \[ 0, 0, 1, 10, 0, 4, 1, 4, 3 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 9, 0, 0, 0, 10, 0, 0, 0, 12 ],
        \[ 0, 1, 0, 0, 0, 1, 12, 0, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 9, 0, 0, 0, 0, 10 ],
        \[ 0, 0, 1, 3, 6, 12, 9, 1, 8 ],
        \[ 12, 11, 9, 9, 0, 0, 2, 1, 10 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 10, 0, 9, 2, 7 ],
        \[ 0, 0, 1, 6, 1, 7, 1, 0, 0 ],
        \[ 7, 7, 5, 1, 8, 11, 1, 5, 1 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 9, 0, 0, 8, 7, 10 ],
        \[ 0, 0, 1, 5, 2, 4, 0, 12, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 10, 9, 0, 2, 12, 4 ],
        \[ 0, 0, 1, 1, 3, 5, 12, 11, 6 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 3, 10, 9, 10, 3, 0 ],
        \[ 0, 0, 1, 9, 4, 1, 0, 10, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 8, 3, 8, 12, 6, 10 ],
        \[ 0, 0, 1, 12, 4, 11, 6, 11, 9 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 10, 0, 0, 9, 8, 7 ],
        \[ 0, 0, 1, 1, 1, 3, 10, 5, 12 ],
        \[ 0, 0, 11, 9, 3, 6, 2, 0, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 8, 11, 12 ],
        \[ 7, 5, 0, 0, 7, 5, 1, 3, 2 ]
        /* order = 244 = 2^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 6, 6, 2, 7, 7 ],
        \[ 0, 0, 1, 0, 10, 0, 4, 10, 3 ]
        /* order = 288 = 2^5 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 2, 0, 0, 0, 0, 4, 0, 5, 0 ]
        /* order = 288 = 2^5 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 12, 0, 0, 0, 5, 0, 0, 0, 5 ],
        \[ 0, 1, 0, 0, 0, 1, 4, 0, 0 ]
        /* order = 288 = 2^5 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 3, 0, 0, 0, 0, 7 ],
        \[ 0, 0, 1, 0, 4, 0, 3, 0, 0 ]
        /* order = 288 = 2^5 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 3, 0, 0, 0, 0, 1, 0, 4, 0 ],
        \[ 0, 1, 0, 7, 0, 0, 0, 0, 11 ]
        /* order = 288 = 2^5 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 7, 0, 0, 0, 11, 0, 0, 0, 7 ],
        \[ 0, 1, 0, 0, 0, 1, 2, 0, 0 ]
        /* order = 324 = 2^2 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 10, 4, 0, 0, 12 ],
        \[ 0, 0, 1, 0, 3, 9, 1, 9, 10 ]
        /* order = 324 = 2^2 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 11, 0, 0, 0, 0, 1, 0, 10, 0 ],
        \[ 0, 1, 0, 0, 0, 7, 7, 0, 0 ]
        /* order = 324 = 2^2 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 12, 4, 0, 0 ],
        \[ 0, 0, 1, 12, 0, 0, 0, 12, 0 ]
        /* order = 324 = 2^2 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 8, 11, 8, 11, 12, 6 ],
        \[ 0, 0, 1, 11, 12, 6, 10, 12, 4 ]
        /* order = 366 = 2 * 3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 10, 7, 6, 8, 1, 6 ],
        \[ 0, 0, 1, 4, 2, 3, 0, 3, 11 ]
        /* order = 366 = 2 * 3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 3, 3, 6, 10, 10 ],
        \[ 0, 0, 1, 1, 2, 3, 8, 2, 3 ]
        /* order = 384 = 2^7 * 3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 8, 0, 0 ],
        \[ 7, 0, 0, 0, 2, 0, 0, 0, 5 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 5, 2, 6, 8, 10, 6 ],
        \[ 0, 0, 1, 6, 0, 0, 0, 10, 0 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 12, 1, 0, 9, 1, 12 ],
        \[ 0, 0, 1, 0, 1, 0, 12, 1, 0 ],
        \[ 0, 3, 0, 9, 4, 12, 9, 4, 0 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 5, 11, 0, 0 ],
        \[ 0, 0, 1, 5, 0, 0, 0, 4, 0 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 2, 0, 0, 0, 0, 1, 0, 9, 0 ],
        \[ 0, 1, 0, 9, 0, 0, 0, 0, 2 ],
        \[ 1, 0, 0, 0, 9, 0, 0, 0, 10 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 12, 0, 0, 0, 4, 0, 0, 0, 3 ],
        \[ 0, 1, 0, 1, 0, 0, 0, 0, 1 ],
        \[ 0, 0, 1, 4, 0, 0, 0, 3, 0 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 3, 0, 0 ],
        \[ 0, 3, 0, 0, 0, 7, 2, 0, 0 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 10, 0, 5, 0, 3 ],
        \[ 0, 0, 1, 1, 6, 6, 8, 10, 4 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 3, 6, 11, 5, 0 ],
        \[ 0, 0, 1, 0, 2, 3, 4, 3, 5 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 7, 7, 9, 10, 1, 6 ],
        \[ 0, 0, 1, 9, 11, 10, 3, 11, 7 ]
        /* order = 549 = 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 8, 4, 2, 0, 11 ],
        \[ 0, 0, 1, 2, 0, 11, 8, 7, 4 ]
        /* order = 549 = 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 11, 7, 9, 6, 2, 6 ],
        \[ 0, 0, 1, 6, 7, 12, 7, 4, 6 ]
        /* order = 549 = 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 7, 5, 10, 2, 2, 8 ],
        \[ 0, 0, 1, 1, 0, 9, 11, 1, 1 ]
        /* order = 549 = 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 9, 6, 7, 2, 12, 0 ],
        \[ 0, 0, 1, 4, 5, 2, 6, 4, 8 ]
        /* order = 576 = 2^6 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 0, 0, 0, 0, 9 ],
        \[ 0, 0, 1, 0, 8, 0, 12, 0, 0 ]
        /* order = 576 = 2^6 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 5, 0, 0 ],
        \[ 3, 0, 0, 0, 10, 0, 0, 0, 11 ]
        /* order = 576 = 2^6 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 11, 0, 0 ],
        \[ 1, 0, 0, 0, 8, 0, 0, 0, 8 ]
        /* order = 576 = 2^6 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 12, 0, 0, 0, 0, 1, 0, 3, 0 ],
        \[ 0, 1, 0, 0, 0, 3, 1, 0, 0 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 3, 5, 11, 7, 1, 8 ],
        \[ 0, 0, 1, 6, 2, 0, 3, 6, 2 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 9, 0, 0, 0, 1, 12 ],
        \[ 0, 0, 1, 9, 9, 4, 0, 9, 4 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 0, 0, 0, 0, 2 ],
        \[ 0, 0, 1, 1, 0, 0, 0, 6, 0 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ],
        \[ 0, 1, 0, 0, 0, 3, 10, 0, 0 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 1, 6, 1, 12, 2, 7 ],
        \[ 0, 0, 1, 2, 3, 1, 4, 0, 10 ]
        /* order = 732 = 2^2 * 3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 11, 12, 7, 4, 12, 8 ],
        \[ 0, 0, 1, 4, 12, 8, 11, 5, 4 ]
        /* order = 732 = 2^2 * 3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 10, 11, 5, 12, 5, 2 ],
        \[ 0, 0, 1, 6, 12, 2, 3, 8, 11 ],
        \[ 5, 4, 6, 9, 6, 1, 4, 5, 2 ]
        /* order = 864 = 2^5 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 11, 0, 0, 0, 9, 0, 0, 0, 8 ],
        \[ 0, 1, 0, 0, 0, 1, 10, 0, 0 ]
        /* order = 864 = 2^5 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 10, 4, 10, 7 ],
        \[ 0, 0, 1, 1, 4, 3, 3, 0, 0 ],
        \[ 9, 3, 6, 12, 4, 4, 12, 8, 0 ]
        /* order = 864 = 2^5 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 5, 7, 10, 7, 8 ],
        \[ 0, 0, 1, 12, 6, 6, 5, 8, 4 ]
        /* order = 864 = 2^5 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 6, 10, 4, 8, 3 ],
        \[ 0, 0, 1, 7, 8, 4, 12, 0, 0 ],
        \[ 9, 12, 11, 4, 9, 6, 7, 2, 4 ]
        /* order = 864 = 2^5 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 5, 1, 7, 0, 10, 1 ],
        \[ 0, 0, 1, 3, 0, 1, 7, 6, 0 ],
        \[ 1, 3, 10, 11, 6, 10, 7, 7, 4 ]
        /* order = 864 = 2^5 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 9, 1, 11, 0, 9 ],
        \[ 0, 0, 1, 10, 5, 2, 4, 5, 8 ]
        /* order = 1098 = 2 * 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 2, 5, 3, 8, 7 ],
        \[ 0, 0, 1, 9, 6, 0, 3, 1, 7 ]
        /* order = 1098 = 2 * 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 6, 12, 1, 10, 7 ],
        \[ 0, 0, 1, 8, 12, 12, 12, 0, 1 ]
        /* order = 1098 = 2 * 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 8, 6, 7, 9, 5, 8 ],
        \[ 0, 0, 1, 9, 5, 8, 12, 7, 8 ]
        /* order = 1098 = 2 * 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 7, 11, 7, 9, 4 ],
        \[ 0, 0, 1, 11, 5, 7, 4, 7, 7 ]
        /* order = 1152 = 2^7 * 3^2 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 10, 10, 10, 12 ],
        \[ 0, 0, 1, 0, 9, 12, 9, 12, 4 ]
        /* order = 1296 = 2^4 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 10, 2, 6, 1, 7, 8 ],
        \[ 0, 0, 1, 9, 6, 12, 0, 10, 7 ]
        /* order = 1296 = 2^4 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 10, 5, 7, 6, 3 ],
        \[ 0, 0, 1, 8, 6, 9, 1, 6, 12 ]
        /* order = 1296 = 2^4 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 2, 2, 0, 0 ],
        \[ 0, 0, 1, 0, 5, 0, 4, 0, 0 ]
        /* order = 1296 = 2^4 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 1, 6, 10, 10, 8, 7 ],
        \[ 0, 0, 1, 8, 7, 3, 4, 0, 1 ]
        /* order = 1296 = 2^4 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 9, 0, 0 ],
        \[ 5, 5, 0, 12, 11, 6, 5, 2, 10 ]
        /* order = 1647 = 3^3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 3, 0, 5, 5, 2, 0 ],
        \[ 0, 0, 1, 11, 12, 11, 1, 0, 0 ],
        \[ 10, 0, 0, 8, 6, 7, 6, 11, 10 ]
        /* order = 1728 = 2^6 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 4, 10, 4, 9, 0, 3 ],
        \[ 0, 0, 1, 5, 0, 6, 8, 3, 0 ]
        /* order = 1728 = 2^6 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 3, 2, 2, 7, 6 ],
        \[ 0, 0, 1, 11, 11, 12, 4, 0, 0 ],
        \[ 9, 8, 1, 12, 3, 7, 0, 8, 0 ]
        /* order = 1728 = 2^6 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 6, 6, 4, 5, 9, 2 ],
        \[ 0, 0, 1, 12, 8, 0, 1, 4, 5 ]
        /* order = 1728 = 2^6 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 8, 1, 10, 5, 4, 4 ],
        \[ 0, 0, 1, 6, 0, 11, 2, 1, 0 ]
        /* order = 2196 = 2^2 * 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 10, 4, 10, 2, 0, 9 ],
        \[ 0, 0, 1, 9, 0, 3, 7, 2, 0 ]
        /* order = 2196 = 2^2 * 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 9, 10, 7, 2, 5, 8 ],
        \[ 0, 0, 1, 2, 5, 8, 4, 6, 7 ]
        /* order = 2196 = 2^2 * 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 8, 6, 2, 7, 4, 7 ],
        \[ 0, 0, 1, 5, 12, 12, 1, 2, 1 ]
        /* order = 2196 = 2^2 * 3^2 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 5, 4, 7, 5, 12, 1 ],
        \[ 0, 0, 1, 10, 7, 9, 2, 3, 6 ]
        /* order = 2592 = 2^5 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 10, 0, 0 ],
        \[ 1, 11, 0, 0, 9, 9, 1, 0, 3 ]
        /* order = 2592 = 2^5 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 9, 3, 7, 12, 4 ],
        \[ 0, 0, 1, 9, 7, 8, 12, 10, 0 ]
        /* order = 2592 = 2^5 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 1, 10, 3, 12, 7 ],
        \[ 0, 0, 1, 8, 0, 3, 8, 6, 0 ]
        /* order = 2592 = 2^5 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 5, 3, 6, 0, 6 ],
        \[ 0, 0, 1, 6, 4, 11, 0, 8, 9 ]
        /* order = 2592 = 2^5 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 0, 0, 1, 10, 0, 0 ],
        \[ 5, 3, 0, 9, 8, 1, 12, 0, 0 ]
        /* order = 3294 = 2 * 3^3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 8, 2, 5, 4, 1 ],
        \[ 0, 0, 1, 1, 10, 2, 5, 6, 3 ],
        \[ 2, 7, 3, 1, 2, 8, 0, 10, 6 ]
        /* order = 3456 = 2^7 * 3^3 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 5, 3, 3, 4, 8 ],
        \[ 0, 0, 1, 9, 4, 8, 0, 11, 9 ]
        /* order = 5184 = 2^6 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 9, 9, 8, 1, 4, 0 ],
        \[ 0, 0, 1, 9, 6, 10, 12, 0, 9 ]
        /* order = 5184 = 2^6 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 2, 6, 6, 2, 6, 1 ],
        \[ 0, 0, 1, 0, 7, 5, 8, 11, 3 ]
        /* order = 5184 = 2^6 * 3^4 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 7, 8, 9, 10, 8, 5 ],
        \[ 0, 0, 1, 10, 6, 6, 10, 11, 9 ]
        /* order = 6588 = 2^2 * 3^3 * 61 */ >,

    MatrixGroup<3, GF(13) |
        \[ 0, 1, 0, 9, 11, 0, 6, 8, 2 ],
        \[ 0, 0, 1, 10, 11, 3, 11, 4, 7 ]
        /* order = 10368 = 2^7 * 3^4 */ >
];