sol5_3:= [ 
    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2,
        1, 0, 2 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0,
        2, 2, 1 ]
        /* order = 11 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0,
        2, 2, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1,
        1, 2, 1 ]
        /* order = 22 = 2 * 11 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1,
        1, 2, 1 ],
        \[ 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0,
        0, 1, 0 ]
        /* order = 55 = 5 * 11 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0,
        0, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1,
        0, 1, 1 ]
        /* order = 80 = 2^4 * 5 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0,
        2, 2, 1 ],
        \[ 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0,
        2, 2, 1 ]
        /* order = 110 = 2 * 5 * 11 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0,
        0, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1,
        1, 2, 2 ]
        /* order = 121 = 11^2 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2,
        2, 0, 2 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0,
        1, 1, 1 ]
        /* order = 160 = 2^5 * 5 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2,
        2, 0, 2 ],
        \[ 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2,
        1, 2, 2 ]
        /* order = 160 = 2^5 * 5 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2,
        2, 0, 2 ],
        \[ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2,
        0, 2, 2 ]
        /* order = 160 = 2^5 * 5 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1,
        1, 1, 2 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1,
        0, 2, 1 ]
        /* order = 242 = 2 * 11^2 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2,
        0, 0, 2 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2,
        0, 0, 0 ]
        /* order = 320 = 2^6 * 5 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0,
        1, 2, 0 ],
        \[ 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0,
        0, 2, 0 ]
        /* order = 320 = 2^6 * 5 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2,
        2, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1,
        1, 1, 2 ]
        /* order = 320 = 2^6 * 5 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2,
        2, 0, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0,
        0, 2, 1 ]
        /* order = 605 = 5 * 11^2 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1,
        1, 1, 0 ],
        \[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0,
        2, 2, 0 ]
        /* order = 640 = 2^7 * 5 */ >,

    MatrixGroup<5, GF(3) |
        \[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1,
        1, 1, 1 ],
        \[ 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0,
        0, 2, 2 ]
        /* order = 1210 = 2 * 5 * 11^2 */ >
];