Looks like a completely coincident compound of 2 copies of firgogishi, in fact all elements coincide by 2.

As abstract polytope 2firgogishi is isomorphic to 2fry, thereby replacing decagrams by decagons, resp. by replacing quit gissid by tid.

Incidence matrix according to Dynkin symbol

x5/3x3o3o3/2*a

.   . . .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
---------------+------+-----------+----------------+----------------
x   . . .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
.   x . .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
---------------+------+-----------+----------------+----------------
x5/3x . .      |   10 |    5    5 | 1440    *    * |   1   1   0   0
x   . . o3/2*a |    3 |    3    0 |    * 2400    * |   0   1   1   0
.   x3o .      |    3 |    0    3 |    *    * 2400 |   1   0   0   1
---------------+------+-----------+----------------+----------------
x5/3x3o .      ♦   60 |   30   60 |   12    0   20 | 120   *   *   *
x5/3x . o3/2*a ♦   60 |   60   30 |   12   20    0 |   * 120   *   *
x   . o3o3/2*a ♦    4 |    6    0 |    0    4    0 |   *   * 600   *
.   x3o3o      ♦    4 |    0    6 |    0    0    4 |   *   *   * 600

x5/3x3o3/2o3*a

.   . .   .    | 2400 |    3    3 |    6    3    3 |   3   3   1   1
---------------+------+-----------+----------------+----------------
x   . .   .    |    2 | 3600    * |    2    2    0 |   1   2   1   0
.   x .   .    |    2 |    * 3600 |    2    0    2 |   2   1   0   1
---------------+------+-----------+----------------+----------------
x5/3x .   .    |   10 |    5    5 | 1440    *    * |   1   1   0   0
x   . .   o3*a |    3 |    3    0 |    * 2400    * |   0   1   1   0
.   x3o   .    |    3 |    0    3 |    *    * 2400 |   1   0   0   1
---------------+------+-----------+----------------+----------------
x5/3x3o   .    ♦   60 |   30   60 |   12    0   20 | 120   *   *   *
x5/3x .   o3*a ♦   60 |   60   30 |   12   20    0 |   * 120   *   *
x   . o3/2o3*a ♦    4 |    6    0 |    0    4    0 |   *   * 600   *
.   x3o3/2o    ♦    4 |    0    6 |    0    0    4 |   *   *   * 600

or
.   . .   .       | 2400 |    6 |    6    6 |   6    2
------------------+------+------+-----------+---------
x   . .   .     & |    2 | 7200 |    2    2 |   3    1
------------------+------+------+-----------+---------
x5/3x .   .       |   10 |   10 | 1440    * |   2    0
x   . .   o3*a  & |    3 |    3 |    * 4800 |   1    1
------------------+------+------+-----------+---------
x5/3x3o   .     & ♦   60 |   90 |   12   20 | 240    *
x   . o3/2o3*a  & ♦    4 |    6 |    0    4 |   * 1200

x5/3x3/2o3/2o3/2*a

.   .   .   .      | 2400 |    3    3 |    6    3    3 |   3   3   1   1
-------------------+------+-----------+----------------+----------------
x   .   .   .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
.   x   .   .      |    2 |    * 3600 |    2    0    2 |   2   1   0   1
-------------------+------+-----------+----------------+----------------
x5/3x   .   .      |   10 |    5    5 | 1440    *    * |   1   1   0   0
x   .   .   o3/2*a |    3 |    3    0 |    * 2400    * |   0   1   1   0
.   x3/2o   .      |    3 |    0    3 |    *    * 2400 |   1   0   0   1
-------------------+------+-----------+----------------+----------------
x5/3x3/2o   .      ♦   60 |   30   60 |   12    0   20 | 120   *   *   *
x5/3x   .   o3/2*a ♦   60 |   60   30 |   12   20    0 |   * 120   *   *
x   .   o3/2o3/2*a ♦    4 |    6    0 |    0    4    0 |   *   * 600   *
.   x3/2o3/2o      ♦    4 |    0    6 |    0    0    4 |   *   *   * 600

or
.   .   .   .         | 2400 |    6 |    6    6 |   6    2
----------------------+------+------+-----------+---------
x   .   .   .       & |    2 | 7200 |    2    2 |   3    1
----------------------+------+------+-----------+---------
x5/3x   .   .         |   10 |   10 | 1440    * |   2    0
x   .   .   o3/2*a  & |    3 |    3 |    * 4800 |   1    1
----------------------+------+------+-----------+---------
x5/3x3/2o   .       & ♦   60 |   90 |   12   20 | 240    *
x   .   o3/2o3/2*a  & ♦    4 |    6 |    0    4 |   * 1200