As abstract polytope soxaxogip is isomorphic to goxaxogip, thereby replacing octagons by octagrams, resp. op by stop and socco by gocco, resp. soccope by goccope and steth by gittith, resp. stethip by gittithip and sinnont by ginnont, resp. sinnontip by ginnontip and soxaxog by goxaxog.

Incidence matrix according to Dynkin symbol

x o3o3o3o3x4x4/3*e

. . . . . . .      | 768 |   1    5    5 |   5   5   10   10   5 |   10  10   5   10  10  10 |  10  10  10   5   5  10 |   5   5 10   1  1  5 |  1  1  5 1
-------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+-----------
x . . . . . .      |   2 | 384    *    * |   5   5    0    0   0 |   10  10   5    0   0   0 |  10  10  10   0   0   0 |   5   5 10   0  0  0 |  1  1  5 0
. . . . . x .      |   2 |   * 1920    * |   1   0    4    0   4 |    4   0   1    6   0   4 |   6   0   4   4   0   6 |   4   0  6   1  0  4 |  1  0  4 1
. . . . . . x      |   2 |   *    * 1920 |   0   1    0    4   4 |    0   4   1    0   6   4 |   0   6   4   0   4   6 |   0   4  6   0  1  4 |  0  1  4 1
-------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+-----------
x . . . . x .      |   4 |   2    2    0 | 960   *    *    *   * |    4   0   1    0   0   0 |   6   0   4   0   0   0 |   4   0  6   0  0  0 |  1  0  4 0
x . . . . . x      |   4 |   2    0    2 |   * 960    *    *   * |    0   4   1    0   0   0 |   0   6   4   0   0   0 |   0   4  6   0  0  0 |  0  1  4 0
. . . . o3x .      |   3 |   0    3    0 |   *   * 2560    *   * |    1   0   0    3   0   1 |   3   0   1   3   0   3 |   3   0  3   1  0  3 |  1  0  3 1
. . . . o . x4/3*e |   4 |   0    0    4 |   *   *    * 1920   * |    0   1   0    0   3   1 |   0   3   1   0   3   3 |   0   3  3   0  1  3 |  0  1  3 1
. . . . . x4x      |   8 |   0    4    4 |   *   *    *    * 480 |    0   0   1    0   0   4 |   0   0   4   0   0   6 |   0   0  6   0  0  4 |  0  0  4 1
-------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+-----------
x . . . o3x .      ♦   6 |   3    6    0 |   3   0    2    0   0 | 1280   *   *    *   *   * |   3   0   1   0   0   0 |   3   0  3   0  0  0 |  1  0  3 0
x . . . o . x4/3*e ♦   8 |   4    0    8 |   0   4    0    2   0 |    * 960   *    *   *   * |   0   3   1   0   0   0 |   0   3  3   0  0  0 |  0  1  3 0
x . . . . x4x      ♦  16 |   8    8    8 |   4   4    0    0   2 |    *   * 240    *   *   * ♦   0   0   4   0   0   0 |   0   0  6   0  0  0 |  0  0  4 0
. . . o3o3x .      ♦   4 |   0    6    0 |   0   0    4    0   0 |    *   *   * 1920   *   * |   1   0   0   2   0   1 |   2   0  1   1  0  2 |  1  0  2 1
. . . o3o . x4/3*e ♦   8 |   0    0   12 |   0   0    0    6   0 |    *   *   *    * 960   * |   0   1   0   0   2   1 |   0   2  1   0  1  2 |  0  1  2 1
. . . . o3x4x4/3*e ♦  24 |   0   24   24 |   0   0    8    6   6 |    *   *   *    *   * 320 |   0   0   1   0   0   3 |   0   0  3   0  0  3 |  0  0  3 1
-------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+-----------
x . . o3o3x .      ♦   8 |   4   12    0 |   6   0    8    0   0 |    4   0   0    2   0   0 | 960   *   *   *   *   * |   2   0  1   0  0  0 |  1  0  2 0
x . . o3o . x4/3*e ♦  16 |   8    0   24 |   0  12    0   12   0 |    0   6   0    0   2   0 |   * 480   *   *   *   * |   0   2  1   0  0  0 |  0  1  2 0
x . . . o3x4x4/3*e ♦  48 |  24   48   48 |  24  24   16   12  12 |    8   6   6    0   0   2 |   *   * 160   *   *   * |   0   0  3   0  0  0 |  0  0  3 0
. . o3o3o3x .      ♦   5 |   0   10    0 |   0   0   10    0   0 |    0   0   0    5   0   0 |   *   *   * 768   *   * |   1   0  0   1  0  1 |  1  0  1 1
. . o3o3o . x4/3*e ♦  16 |   0    0   32 |   0   0    0   24   0 |    0   0   0    0   8   0 |   *   *   *   * 240   * |   0   1  0   0  1  1 |  0  1  1 1
. . . o3o3x4x4/3*e ♦  64 |   0   96   96 |   0   0   64   48  24 |    0   0   0   16   8   8 |   *   *   *   *   * 120 |   0   0  1   0  0  2 |  0  0  2 1
-------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+-----------
x . o3o3o3x .      ♦  10 |   5   20    0 |  10   0   20    0   0 |   10   0   0   10   0   0 |   5   0   0   2   0   0 | 384   *  *   *  *  * |  1  0  1 0
x . o3o3o . x4/3*e ♦  32 |  16    0   64 |   0  32    0   48   0 |    0  24   0    0  16   0 |   0   8   0   0   2   0 |   * 120  *   *  *  * |  0  1  1 0
x . . o3o3x4x4/3*e ♦ 128 |  64  192  192 |  96  96  128   96  48 |   64  48  24   32  16  16 |  16   8   8   0   0   2 |   *   * 60   *  *  * |  0  0  2 0
. o3o3o3o3x .      ♦   6 |   0   15    0 |   0   0   20    0   0 |    0   0   0   15   0   0 |   0   0   0   6   0   0 |   *   *  * 128  *  * |  1  0  0 1
. o3o3o3o . x4/3*e ♦  32 |   0    0   80 |   0   0    0   80   0 |    0   0   0    0  40   0 |   0   0   0   0  10   0 |   *   *  *   * 24  * |  0  1  0 1
. . o3o3o3x4x4/3*e ♦ 160 |   0  320  320 |   0   0  320  240  80 |    0   0   0  160  80  40 |   0   0   0  32  10  10 |   *   *  *   *  * 24 |  0  0  1 1
-------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+-----------
x o3o3o3o3x .      ♦  12 |   6   30    0 |  15   0   40    0   0 |   20   0   0   30   0   0 |  15   0   0  12   0   0 |   6   0  0   2  0  0 | 64  *  * *
x o3o3o3o . x4/3*e ♦  64 |  32    0  160 |   0  80    0  160   0 |    0  80   0    0  80   0 |   0  40   0   0  20   0 |   0  10  0   0  2  0 |  * 12  * *
x . o3o3o3x4x4/3*e ♦ 320 | 160  640  640 | 320 320  640  480 160 |  320 240  80  320 160  80 | 160  80  40  64  20  20 |  32  10 10   0  0  2 |  *  * 12 *
. o3o3o3o3x4x4/3*e ♦ 384 |   0  960  960 |   0   0 1280  960 240 |    0   0   0  960 480 160 |   0   0   0 384 120  60 |   0   0  0  64 12 12 |  *  *  * 2