insol2_31:= [ 
    MatrixGroup<2, GF(31) |
        \[ 0, 1, 30, 12 ],
        \[ 30, 23, 12, 2 ]
        /* order = 120 = 2^3 * 3 * 5 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 6, 2 ],
        \[ 29, 1, 19, 21 ]
        /* order = 360 = 2^3 * 3^2 * 5 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 27, 29 ],
        \[ 15, 19, 3, 25 ]
        /* order = 600 = 2^3 * 3 * 5^2 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 17, 18 ],
        \[ 16, 12, 6, 30 ]
        /* order = 1800 = 2^3 * 3^2 * 5^2 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 30, 30 ],
        \[ 20, 8, 26, 12 ]
        /* order = 29760 = 2^6 * 3 * 5 * 31 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 1, 16 ],
        \[ 2, 28, 29, 18 ]
        /* order = 59520 = 2^7 * 3 * 5 * 31 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 6, 21 ],
        \[ 8, 9, 5, 29 ]
        /* order = 89280 = 2^6 * 3^2 * 5 * 31 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 29, 28 ],
        \[ 23, 24, 1, 26 ]
        /* order = 148800 = 2^6 * 3 * 5^2 * 31 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 1, 14 ],
        \[ 14, 23, 1, 2 ]
        /* order = 178560 = 2^7 * 3^2 * 5 * 31 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 15, 12 ],
        \[ 22, 28, 25, 17 ]
        /* order = 297600 = 2^7 * 3 * 5^2 * 31 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 27, 18 ],
        \[ 13, 12, 20, 26 ]
        /* order = 446400 = 2^6 * 3^2 * 5^2 * 31 */ >,

    MatrixGroup<2, GF(31) |
        \[ 0, 1, 28, 27 ],
        \[ 1, 2, 7, 21 ]
        /* order = 892800 = 2^7 * 3^2 * 5^2 * 31 */ >
];