Looks like a compound of a double cover of an exacosachoron (ex) with an additional faceted exacosachoron (fix).

Incidence matrix according to Dynkin symbol

β3o3o5o

both( . . . . ) | 120 ♦   60 |   30   60 |  20  12
----------------+-----+------+-----------+--------
sefa( β3o . . ) |   2 | 3600 |    1    2 |   2   1
----------------+-----+------+-----------+--------
      β3o . .   ♦   3 |    3 | 1200    * |   2   0
sefa( β3o3o . ) |   3 |    3 |    * 2400 |   1   1
----------------+-----+------+-----------+--------
      β3o3o .   ♦   4 |   12 |    4    4 | 600   *
sefa( β3o3o5o ) ♦  12 |   30 |    0   20 |   * 120

starting figure: x3o3o5o