sol3_5:= [ 
    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 4, 4, 4, 0, 0, 1 ],
        \[ 0, 0, 1, 4, 4, 4, 1, 0, 0 ]
        /* order = 12 = 2^2 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 0, 0, 1, 1, 4, 1 ],
        \[ 0, 4, 0, 1, 4, 1, 0, 0, 1 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 0, 0, 1, 4, 0, 0 ],
        \[ 0, 0, 1, 1, 0, 0, 0, 4, 0 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 0, 0, 1, 4, 4, 4 ],
        \[ 0, 0, 1, 4, 4, 4, 0, 1, 0 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 2, 3, 1, 1, 4, 0 ],
        \[ 0, 0, 1, 1, 4, 0, 0, 1, 2 ]
        /* order = 31 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 0, 0, 2, 1, 0, 0 ],
        \[ 0, 0, 1, 4, 0, 0, 0, 3, 0 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 2, 0, 0, 0, 3, 0, 0, 0, 1 ],
        \[ 0, 1, 0, 0, 0, 1, 1, 0, 0 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 3, 0, 0, 0, 0, 1, 0, 1, 0 ],
        \[ 0, 1, 0, 4, 0, 0, 0, 0, 2 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 1, 0, 2, 2, 2, 0 ],
        \[ 0, 0, 1, 4, 2, 0, 3, 0, 2 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 0, 0, 1, 4, 1, 4 ],
        \[ 2, 3, 0, 0, 2, 3, 2, 3, 4 ]
        /* order = 62 = 2 * 31 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 2, 3, 4, 0, 1, 2 ],
        \[ 0, 0, 1, 3, 3, 3, 2, 4, 2 ]
        /* order = 93 = 3 * 31 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 2, 1, 0, 1, 2, 2 ],
        \[ 3, 2, 0, 0, 0, 1, 1, 1, 2 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 1, 0, 0, 0, 0, 4 ],
        \[ 0, 0, 1, 3, 4, 4, 2, 3, 1 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 0, 0, 1, 2, 0, 0 ],
        \[ 0, 3, 0, 4, 4, 0, 0, 4, 2 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 4, 4, 0, 0, 0, 1 ],
        \[ 0, 0, 1, 2, 1, 2, 0, 2, 1 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 0, 3, 1, 3, 2, 4 ],
        \[ 0, 0, 1, 3, 2, 4, 3, 1, 1 ]
        /* order = 124 = 2^2 * 31 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 3, 0, 4, 1, 3, 0 ],
        \[ 0, 0, 1, 0, 2, 3, 3, 1, 3 ]
        /* order = 186 = 2 * 3 * 31 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 2, 2, 1, 3, 4, 3 ],
        \[ 0, 0, 1, 0, 1, 4, 4, 0, 4 ]
        /* order = 192 = 2^6 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 4, 3, 2, 2, 1, 2 ],
        \[ 0, 0, 1, 1, 0, 1, 4, 2, 3 ]
        /* order = 192 = 2^6 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 3, 0, 0, 0, 0, 3 ],
        \[ 3, 0, 0, 0, 0, 1, 0, 2, 0 ]
        /* order = 192 = 2^6 * 3 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 1, 3, 3, 0, 0, 2 ],
        \[ 0, 0, 1, 4, 1, 0, 4, 3, 4 ]
        /* order = 372 = 2^2 * 3 * 31 */ >,

    MatrixGroup<3, GF(5) |
        \[ 0, 1, 0, 3, 4, 3, 1, 4, 3 ],
        \[ 0, 0, 1, 3, 3, 4, 2, 1, 2 ]
        /* order = 384 = 2^7 * 3 */ >
];