insol2_13:= [ 
    MatrixGroup<2, GF(13) |
        \[ 6, 0, 7, 11 ],
        \[ 0, 1, 12, 10 ]
        /* order = 2184 = 2^3 * 3 * 7 * 13 */ >,

    MatrixGroup<2, GF(13) |
        \[ 0, 1, 12, 4 ],
        \[ 1, 1, 9, 8 ]
        /* order = 4368 = 2^4 * 3 * 7 * 13 */ >,

    MatrixGroup<2, GF(13) |
        \[ 0, 1, 12, 9 ],
        \[ 1, 6, 8, 12 ]
        /* order = 6552 = 2^3 * 3^2 * 7 * 13 */ >,

    MatrixGroup<2, GF(13) |
        \[ 0, 1, 5, 10 ],
        \[ 12, 0, 2, 1 ]
        /* order = 8736 = 2^5 * 3 * 7 * 13 */ >,

    MatrixGroup<2, GF(13) |
        \[ 0, 1, 10, 9 ],
        \[ 3, 12, 2, 5 ]
        /* order = 13104 = 2^4 * 3^2 * 7 * 13 */ >,

    MatrixGroup<2, GF(13) |
        \[ 2, 0, 1, 12 ],
        \[ 0, 1, 3, 10 ]
        /* order = 26208 = 2^5 * 3^2 * 7 * 13 */ >
];