Looks like a compound of 2 small rhombated hecatonicosachora (srahi) with 2400 additional triangular prisms (trip), making quadruple coincidences of these types of cells.

Incidence matrix according to Dynkin symbol

o3β3β5x

both( . . . . ) | 7200 |    1    2     4    1 |    1    2   1    3    2    4 |   1    1   2    3
----------------+------+----------------------+------------------------------+------------------
both( . . . x ) |    2 | 3600    *     *    * |    0    0   1    0    2    2 |   0    1   2    2
sefa( o3β . . ) |    2 |    * 7200     *    * |    1    0   0    1    1    0 |   1    1   0    1
sefa( . s3s . ) |    2 |    *    * 14400    * |    0    1   0    1    0    1 |   1    0   1    1
sefa( . . β5x ) |    2 |    *    *     * 3600 |    0    0   1    0    0    2 |   0    0   2    1
----------------+------+----------------------+------------------------------+------------------
      o3β . .   ♦    3 |    0    3     0    0 | 2400    *   *    *    *    * |   1    1   0    0
both( . s3s . ) ♦    3 |    0    0     3    0 |    * 4800   *    *    *    * |   1    0   1    0
      . . β5x   ♦   10 |    5    0     0    5 |    *    * 720    *    *    * |   0    0   2    0
sefa( o3β3β . ) |    3 |    0    1     2    0 |    *    *   * 7200    *    * |   1    0   0    1
sefa( o3β 2 x ) |    4 |    2    2     0    0 |    *    *   *    * 3600    * |   0    1   0    1
sefa( . β3β5x ) |    4 |    1    0     2    1 |    *    *   *    *    * 7200 |   0    0   1    1
----------------+------+----------------------+------------------------------+------------------
      o3β3β .   ♦   12 |    0   12    24    0 |    4    8   0   12    0    0 | 600    *   *    *
      o3β 2 x   ♦    6 |    3    6     0    0 |    2    0   0    0    3    0 |   * 1200   *    *
      . β3β5x   ♦  120 |   60    0   120   60 |    0   40  12    0    0   60 |   *    * 120    *
sefa( o3β3β5x ) ♦    6 |    2    2     4    1 |    0    0   0    2    1    2 |   *    *   * 3600

starting figure: o3x3x5x