insol2_19:= [ 
    MatrixGroup<2, GF(19) |
        \[ 0, 1, 18, 15 ],
        \[ 12, 13, 2, 7 ]
        /* order = 120 = 2^3 * 3 * 5 */ >,

    MatrixGroup<2, GF(19) |
        \[ 0, 1, 8, 9 ],
        \[ 6, 11, 7, 13 ]
        /* order = 360 = 2^3 * 3^2 * 5 */ >,

    MatrixGroup<2, GF(19) |
        \[ 0, 1, 13, 18 ],
        \[ 7, 10, 8, 12 ]
        /* order = 1080 = 2^3 * 3^3 * 5 */ >,

    MatrixGroup<2, GF(19) |
        \[ 0, 1, 18, 6 ],
        \[ 8, 14, 10, 1 ]
        /* order = 6840 = 2^3 * 3^2 * 5 * 19 */ >,

    MatrixGroup<2, GF(19) |
        \[ 0, 1, 1, 4 ],
        \[ 5, 13, 1, 18 ]
        /* order = 13680 = 2^4 * 3^2 * 5 * 19 */ >,

    MatrixGroup<2, GF(19) |
        \[ 0, 1, 18, 6 ],
        \[ 11, 5, 11, 6 ]
        /* order = 20520 = 2^3 * 3^3 * 5 * 19 */ >,

    MatrixGroup<2, GF(19) |
        \[ 0, 1, 7, 5 ],
        \[ 8, 17, 10, 14 ]
        /* order = 41040 = 2^4 * 3^3 * 5 * 19 */ >,

    MatrixGroup<2, GF(19) |
        \[ 0, 1, 18, 6 ],
        \[ 1, 3, 2, 15 ]
        /* order = 61560 = 2^3 * 3^4 * 5 * 19 */ >,

    MatrixGroup<2, GF(19) |
        \[ 0, 1, 1, 3 ],
        \[ 9, 10, 2, 5 ]
        /* order = 123120 = 2^4 * 3^4 * 5 * 19 */ >
];