sols2_37:= [ PowerStructure(GrpMat) |
    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 7 ],
        \[ 4, 35, 2, 27 ]
        /* order = 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 36, 36, 1, 0 ]
        /* order = 6 = 2 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 31 ],
        \[ 36, 0, 0, 36 ]
        /* order = 38 = 2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 26 ],
        \[ 1, 0, 26, 36 ]
        /* order = 38 = 2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 1 ],
        \[ 2, 3, 7, 5 ]
        /* order = 57 = 3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 36, 0, 0, 36 ],
        \[ 0, 1, 31, 0 ]
        /* order = 8 = 2^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 29, 34, 34, 8 ]
        /* order = 8 = 2^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 36, 0, 0, 1 ]
        /* order = 8 = 2^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 1 ],
        \[ 1, 36, 0, 36 ]
        /* order = 12 = 2^2 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 4, 33, 32, 33 ]
        /* order = 12 = 2^2 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 29, 29, 31, 8 ]
        /* order = 18 = 2 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 26, 0, 0, 1 ],
        \[ 0, 1, 26, 0 ]
        /* order = 18 = 2 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 32 ],
        \[ 2, 15, 15, 1 ]
        /* order = 76 = 2^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 6, 0, 18, 31 ]
        /* order = 76 = 2^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 26, 24, 13, 22 ]
        /* order = 76 = 2^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 13 ],
        \[ 27, 0, 0, 27 ]
        /* order = 114 = 2 * 3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 26, 0 ],
        \[ 35, 9, 13, 2 ]
        /* order = 114 = 2 * 3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 32 ],
        \[ 2, 30, 33, 0 ]
        /* order = 171 = 3^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 31, 0, 0, 31 ],
        \[ 0, 1, 36, 0 ],
        \[ 1, 0, 0, 36 ]
        /* order = 16 = 2^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 31, 0 ],
        \[ 36, 0, 0, 1 ]
        /* order = 16 = 2^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 8, 0 ],
        \[ 0, 8, 27, 0 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 11, 0 ],
        \[ 14, 18, 24, 23 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 15 ],
        \[ 22, 1, 35, 15 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 1 ],
        \[ 30, 29, 21, 8 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 4, 6, 28, 33 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 11 ],
        \[ 1, 0, 11, 10 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 19, 8, 29, 18 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 6, 31, 6, 0 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 31 ],
        \[ 35, 9, 3, 2 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 11, 0, 0, 26 ],
        \[ 0, 1, 26, 0 ]
        /* order = 24 = 2^3 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 27, 23, 14, 1 ]
        /* order = 36 = 2^2 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 1, 20, 20, 31 ]
        /* order = 36 = 2^2 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 27, 0, 0, 11 ],
        \[ 0, 1, 10, 0 ]
        /* order = 36 = 2^2 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 0 ],
        \[ 1, 0, 0, 10 ]
        /* order = 36 = 2^2 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 26, 0 ],
        \[ 0, 9, 34, 0 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 1, 0, 0, 10 ],
        \[ 0, 1, 16, 0 ]
        /* order = 54 = 2 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 6, 0 ],
        \[ 3, 27, 4, 34 ]
        /* order = 152 = 2^3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 8 ],
        \[ 13, 20, 10, 24 ]
        /* order = 152 = 2^3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 6, 28 ],
        \[ 23, 13, 4, 17 ]
        /* order = 152 = 2^3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 11, 18 ],
        \[ 0, 29, 23, 4 ]
        /* order = 228 = 2^2 * 3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 35, 1, 36, 6 ]
        /* order = 228 = 2^2 * 3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 21 ],
        \[ 7, 9, 15, 30 ]
        /* order = 228 = 2^2 * 3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 11, 33 ],
        \[ 18, 3, 33, 6 ]
        /* order = 342 = 2 * 3^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 9, 0 ],
        \[ 21, 4, 35, 16 ]
        /* order = 342 = 2 * 3^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 0, 31, 1, 0 ]
        /* order = 32 = 2^5 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 22, 6, 6, 0 ],
        \[ 22, 12, 6, 15 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 31, 0 ],
        \[ 0, 27, 29, 0 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 6, 0, 0, 31 ],
        \[ 0, 1, 27, 0 ],
        \[ 26, 0, 0, 11 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 1 ],
        \[ 0, 1, 1, 6 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 10, 29 ],
        \[ 10, 29, 0, 1 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 23, 0 ],
        \[ 0, 11, 6, 0 ]
        /* order = 48 = 2^4 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 15, 0 ],
        \[ 4, 0, 0, 4 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 24, 13, 7, 13 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 25, 12, 12, 28 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 8, 12, 25, 5 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 27 ],
        \[ 23, 23, 6, 14 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 31, 0 ],
        \[ 32, 0, 0, 15 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 25, 0 ],
        \[ 19, 13, 8, 18 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 11 ],
        \[ 27, 0, 27, 11 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 10, 0 ],
        \[ 1, 0, 17, 36 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 0, 14, 31, 0 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 11, 0 ],
        \[ 0, 31, 6, 0 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 10, 0 ],
        \[ 27, 0, 0, 1 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 31, 0 ],
        \[ 0, 14, 36, 0 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 25, 7 ],
        \[ 9, 0, 36, 16 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 30, 0 ],
        \[ 9, 0, 0, 28 ]
        /* order = 72 = 2^3 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 0 ],
        \[ 21, 0, 0, 4 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 26, 0 ],
        \[ 1, 18, 0, 36 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 34, 0 ],
        \[ 27, 0, 0, 11 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 9, 0, 0, 12 ],
        \[ 0, 1, 4, 0 ]
        /* order = 108 = 2^2 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 7, 0 ],
        \[ 16, 0, 0, 26 ]
        /* order = 162 = 2 * 3^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 31, 36 ],
        \[ 19, 10, 4, 18 ]
        /* order = 304 = 2^4 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 10, 4 ],
        \[ 30, 11, 10, 7 ]
        /* order = 456 = 2^3 * 3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 29, 11 ],
        \[ 6, 35, 16, 21 ]
        /* order = 456 = 2^3 * 3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 23, 0 ],
        \[ 7, 4, 14, 30 ]
        /* order = 456 = 2^3 * 3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 7, 23 ],
        \[ 30, 22, 6, 18 ]
        /* order = 684 = 2^2 * 3^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 7, 0 ],
        \[ 15, 9, 11, 33 ]
        /* order = 684 = 2^2 * 3^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 28, 28 ],
        \[ 17, 9, 2, 20 ]
        /* order = 684 = 2^2 * 3^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 6 ],
        \[ 36, 36, 0, 31 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 0, 10, 29, 0 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 6, 0 ],
        \[ 0, 8, 8, 0 ]
        /* order = 96 = 2^5 * 3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 0 ],
        \[ 21, 4, 4, 6 ],
        \[ 27, 12, 12, 19 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 6, 0 ],
        \[ 0, 4, 17, 0 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 0, 14, 8, 0 ],
        \[ 0, 27, 10, 0 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 26, 0, 0, 36 ],
        \[ 0, 1, 31, 0 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 21, 0 ],
        \[ 0, 6, 22, 0 ],
        \[ 34, 0, 0, 3 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 26 ],
        \[ 23, 29, 0, 8 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 33, 35 ],
        \[ 7, 21, 10, 0 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 8, 0 ],
        \[ 0, 17, 12, 0 ]
        /* order = 144 = 2^4 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 26, 0 ],
        \[ 32, 14, 8, 5 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 0 ],
        \[ 15, 0, 0, 13 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 33, 0, 0, 16 ],
        \[ 0, 1, 14, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 27, 0 ],
        \[ 0, 28, 3, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 30 ],
        \[ 14, 0, 13, 23 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 9, 0, 33, 12 ],
        \[ 0, 1, 30, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 30, 0 ],
        \[ 0, 18, 2, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 16, 0 ],
        \[ 0, 19, 14, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 34, 0, 0, 4 ],
        \[ 0, 1, 30, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 20, 0 ],
        \[ 0, 7, 14, 0 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 16, 24 ],
        \[ 27, 0, 19, 10 ]
        /* order = 216 = 2^3 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 25, 0 ],
        \[ 30, 0, 0, 11 ]
        /* order = 324 = 2^2 * 3^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 21, 36 ],
        \[ 12, 10, 0, 25 ]
        /* order = 324 = 2^2 * 3^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 29, 22 ],
        \[ 11, 15, 29, 26 ]
        /* order = 912 = 2^4 * 3 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 34, 9 ],
        \[ 20, 19, 17, 6 ]
        /* order = 1368 = 2^3 * 3^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 16, 17 ],
        \[ 12, 8, 2, 25 ]
        /* order = 1368 = 2^3 * 3^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 18, 0 ],
        \[ 23, 25, 22, 14 ]
        /* order = 1368 = 2^3 * 3^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 6, 0 ],
        \[ 3, 22, 3, 34 ]
        /* order = 288 = 2^5 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 14, 0, 31, 27 ],
        \[ 0, 1, 23, 18 ]
        /* order = 288 = 2^5 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 11, 0 ],
        \[ 0, 10, 14, 0 ]
        /* order = 288 = 2^5 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 15, 0 ],
        \[ 36, 0, 0, 31 ]
        /* order = 288 = 2^5 * 3^2 */ >,

    MatrixGroup<2, GF(37) |
        \[ 16, 0, 0, 3 ],
        \[ 0, 1, 6, 0 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 11, 0 ],
        \[ 9, 26, 5, 28 ],
        \[ 19, 25, 23, 18 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 0 ],
        \[ 30, 12, 25, 7 ],
        \[ 6, 22, 15, 31 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 1, 6 ],
        \[ 0, 28, 21, 35 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 17, 0 ],
        \[ 13, 0, 0, 32 ]
        /* order = 432 = 2^4 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 30, 0 ],
        \[ 19, 0, 0, 14 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 34, 0 ],
        \[ 3, 21, 17, 34 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 35, 0, 31, 2 ],
        \[ 0, 1, 33, 0 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 21, 0 ],
        \[ 0, 16, 12, 0 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 6, 0 ],
        \[ 8, 0, 0, 13 ]
        /* order = 648 = 2^3 * 3^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 12, 0 ],
        \[ 9, 33, 11, 34 ]
        /* order = 2736 = 2^4 * 3^2 * 19 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 31, 8 ],
        \[ 11, 20, 23, 26 ]
        /* order = 864 = 2^5 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 14, 0 ],
        \[ 20, 0, 0, 21 ]
        /* order = 864 = 2^5 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 36, 36 ],
        \[ 11, 1, 25, 26 ]
        /* order = 864 = 2^5 * 3^3 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 26, 14 ],
        \[ 7, 16, 15, 30 ],
        \[ 6, 11, 20, 31 ]
        /* order = 1296 = 2^4 * 3^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 31, 0, 0, 17 ],
        \[ 0, 1, 13, 0 ]
        /* order = 1296 = 2^4 * 3^4 */ >,

    MatrixGroup<2, GF(37) |
        \[ 0, 1, 12, 0 ],
        \[ 20, 23, 15, 17 ]
        /* order = 2592 = 2^5 * 3^4 */ >
];