sol2_23:= [ 
    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 22 ]
        /* order = 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 0 ]
        /* order = 4 = 2^2 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 1 ],
        \[ 1, 22, 1, 0 ]
        /* order = 6 = 2 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 1, 0 ],
        \[ 22, 22, 1, 0 ]
        /* order = 6 = 2 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 0 ],
        \[ 21, 15, 15, 2 ]
        /* order = 8 = 2^3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 18 ],
        \[ 22, 18, 5, 1 ]
        /* order = 8 = 2^3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 1, 0, 0, 22 ],
        \[ 0, 1, 22, 0 ]
        /* order = 8 = 2^3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 16 ],
        \[ 16, 21, 2, 7 ]
        /* order = 12 = 2^2 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 0 ],
        \[ 4, 5, 5, 18 ]
        /* order = 12 = 2^2 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 1, 0 ],
        \[ 1, 1, 22, 0 ]
        /* order = 12 = 2^2 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 5 ],
        \[ 7, 14, 3, 16 ]
        /* order = 16 = 2^4 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 5 ],
        \[ 6, 6, 17, 13 ]
        /* order = 16 = 2^4 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 1, 0 ],
        \[ 0, 1, 22, 18 ]
        /* order = 16 = 2^4 */ >,

    MatrixGroup<2, GF(23) |
        \[ 1, 0, 14, 22 ],
        \[ 0, 1, 22, 14 ]
        /* order = 22 = 2 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 3 ],
        \[ 3, 15, 8, 2 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 0 ],
        \[ 15, 4, 3, 7 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 7 ],
        \[ 12, 7, 22, 11 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 16 ],
        \[ 7, 2, 22, 16 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 0 ],
        \[ 3, 17, 17, 4 ]
        /* order = 32 = 2^5 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 10, 17 ],
        \[ 20, 11, 18, 0 ]
        /* order = 33 = 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 0 ],
        \[ 10, 15, 4, 13 ]
        /* order = 44 = 2^2 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 17, 0 ],
        \[ 2, 0, 0, 2 ]
        /* order = 44 = 2^2 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 9 ],
        \[ 14, 11, 22, 9 ]
        /* order = 44 = 2^2 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 22 ],
        \[ 20, 22, 2, 8 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 0 ],
        \[ 12, 16, 16, 8 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 22 ],
        \[ 13, 14, 9, 22 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 1, 0 ],
        \[ 8, 1, 22, 0 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 14, 3 ],
        \[ 0, 6, 15, 18 ]
        /* order = 66 = 2 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 2, 0, 21, 21 ],
        \[ 0, 1, 1, 0 ]
        /* order = 66 = 2 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 11, 0 ],
        \[ 5, 8, 4, 18 ]
        /* order = 88 = 2^3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 5 ],
        \[ 20, 0, 0, 20 ]
        /* order = 88 = 2^3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 5, 0 ],
        \[ 10, 0, 0, 13 ]
        /* order = 88 = 2^3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 0 ],
        \[ 12, 21, 21, 6 ]
        /* order = 88 = 2^3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 22, 0 ],
        \[ 1, 0, 22, 22 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 19, 21 ],
        \[ 16, 12, 16, 7 ]
        /* order = 132 = 2^2 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 7, 18 ],
        \[ 0, 10, 1, 19 ]
        /* order = 132 = 2^2 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 1, 0 ],
        \[ 13, 10, 13, 0 ]
        /* order = 132 = 2^2 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 20, 12 ],
        \[ 18, 16, 11, 5 ]
        /* order = 176 = 2^4 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 16, 5 ],
        \[ 0, 19, 5, 3 ]
        /* order = 176 = 2^4 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 12, 0 ],
        \[ 18, 5, 9, 0 ]
        /* order = 176 = 2^4 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 4, 0, 0, 18 ],
        \[ 0, 1, 12, 0 ]
        /* order = 242 = 2 * 11^2 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 10, 0 ],
        \[ 6, 21, 2, 20 ]
        /* order = 264 = 2^3 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 5, 18 ],
        \[ 11, 9, 22, 12 ]
        /* order = 264 = 2^3 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 11, 17 ],
        \[ 16, 16, 4, 7 ]
        /* order = 264 = 2^3 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 10, 19 ],
        \[ 0, 2, 3, 0 ]
        /* order = 264 = 2^3 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 5, 0 ],
        \[ 4, 15, 0, 19 ]
        /* order = 352 = 2^5 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 12, 0, 0, 6 ],
        \[ 0, 1, 11, 0 ]
        /* order = 484 = 2^2 * 11^2 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 21, 9 ],
        \[ 15, 7, 11, 8 ]
        /* order = 484 = 2^2 * 11^2 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 7, 11 ],
        \[ 14, 3, 18, 9 ]
        /* order = 528 = 2^4 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 5, 0, 0, 5 ],
        \[ 0, 1, 2, 5 ]
        /* order = 528 = 2^4 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 5, 6 ],
        \[ 7, 20, 17, 16 ]
        /* order = 528 = 2^4 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 21, 15 ],
        \[ 14, 7, 17, 9 ]
        /* order = 528 = 2^4 * 3 * 11 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 11, 0 ],
        \[ 0, 22, 11, 1 ]
        /* order = 968 = 2^3 * 11^2 */ >,

    MatrixGroup<2, GF(23) |
        \[ 0, 1, 9, 0 ],
        \[ 21, 4, 19, 2 ]
        /* order = 1056 = 2^5 * 3 * 11 */ >
];