Looks like a compound of 6 sishi with vertices identified, while edges and faces coincide by 6 each. The cells are coincident by 3, then individually being the Grünbaumian 2sissid.

Incidence matrix according to Dynkin symbol

x5/2o5/2o5/2o5/2*a5/2*c *b5/2*d

o   .   .   .                   | 120 ♦  120 |   60   60   60 |  12  12  12
--------------------------------+-----+------+----------------+------------
x   .   .   .                   |   2 | 7200 |    1    1    1 |   1   1   1
--------------------------------+-----+------+----------------+------------
x5/2o   .   .                   |   5 |    5 | 1440    *    * |   1   1   0
x   .   o   .   *a5/2*c         |   5 |    5 |    * 1440    * |   1   0   1
x   .   .   o5/2*a              |   5 |    5 |    *    * 1440 |   0   1   1
--------------------------------+-----+------+----------------+------------
x5/2o5/2o   .   *a5/2*c         ♦  12 |   60 |   12   12    0 | 120   *   *
x5/2o   .   o5/2*a      *b5/2*d ♦  12 |   60 |   12    0   12 |   * 120   *
x   .   o5/2o5/2*a5/2*c         ♦  12 |   60 |    0   12   12 |   *   * 120

x5/3o5/2o5/2o5/3*a5/3*c *b5/2*d

o   .   .   .                   | 120 ♦  120 |   60   60   60 |  12  12  12
--------------------------------+-----+------+----------------+------------
x   .   .   .                   |   2 | 7200 |    1    1    1 |   1   1   1
--------------------------------+-----+------+----------------+------------
x5/3o   .   .                   |   5 |    5 | 1440    *    * |   1   1   0
x   .   o   .   *a5/3*c         |   5 |    5 |    * 1440    * |   1   0   1
x   .   .   o5/3*a              |   5 |    5 |    *    * 1440 |   0   1   1
--------------------------------+-----+------+----------------+------------
x5/3o5/2o   .   *a5/3*c         ♦  12 |   60 |   12   12    0 | 120   *   *
x5/3o   .   o5/3*a      *b5/2*d ♦  12 |   60 |   12    0   12 |   * 120   *
x   .   o5/2o5/3*a5/3*c         ♦  12 |   60 |    0   12   12 |   *   * 120