sol2_3:= [ 
    MatrixGroup<2, GF(3) |
        \[ 0, 1, 2, 0 ]
        /* order = 4 = 2^2 */ >,

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

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

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

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

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

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