insol4_2:= [ 
    MatrixGroup<4, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1 ],
        \[ 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0 ]
        /* order = 60 = 2^2 * 3 * 5 */ >,

    MatrixGroup<4, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1 ],
        \[ 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0 ]
        /* order = 60 = 2^2 * 3 * 5 */ >,

    MatrixGroup<4, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1 ],
        \[ 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0 ]
        /* order = 120 = 2^3 * 3 * 5 */ >,

    MatrixGroup<4, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1 ],
        \[ 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1 ]
        /* order = 120 = 2^3 * 3 * 5 */ >,

    MatrixGroup<4, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1 ]
        /* order = 180 = 2^2 * 3^2 * 5 */ >,

    MatrixGroup<4, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1 ],
        \[ 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1 ]
        /* order = 360 = 2^3 * 3^2 * 5 */ >,

    MatrixGroup<4, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1 ]
        /* order = 360 = 2^3 * 3^2 * 5 */ >,

    MatrixGroup<4, GF(2) |
        \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0 ],
        \[ 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0 ]
        /* order = 720 = 2^4 * 3^2 * 5 */ >,

    MatrixGroup<4, GF(2) |
        \[ 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1 ],
        \[ 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0 ]
        /* order = 2520 = 2^3 * 3^2 * 5 * 7 */ >,

    MatrixGroup<4, GF(2) |
        \[ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1 ],
        \[ 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1 ]
        /* order = 20160 = 2^6 * 3^2 * 5 * 7 */ >
];