insol2_5:= [ 
    MatrixGroup<2, GF(5) |
        \[ 0, 1, 4, 4 ],
        \[ 0, 4, 1, 4 ]
        /* order = 120 = 2^3 * 3 * 5 */ >,

    MatrixGroup<2, GF(5) |
        \[ 0, 1, 4, 4 ],
        \[ 1, 0, 4, 4 ],
        \[ 3, 2, 1, 1 ]
        /* order = 240 = 2^4 * 3 * 5 */ >,

    MatrixGroup<2, GF(5) |
        \[ 0, 1, 4, 4 ],
        \[ 1, 0, 3, 2 ],
        \[ 3, 2, 1, 1 ]
        /* order = 480 = 2^5 * 3 * 5 */ >
];