Looks like an icositetraintercepted prismatotetracontaoctachoron (inpac) with the set of 72 squares coincidently doubled up.

Incidence matrix according to Dynkin symbol

β3o4o3x

both( . . . . ) | 144 |   4   8 |   4   4   4   8 |  1  1  4  4
----------------+-----+---------+-----------------+------------
both( . . . x ) |   2 | 288   * |   2   0   0   2 |  1  0  1  2
sefa( β3o . . ) |   2 |   * 576 |   0   1   1   1 |  0  1  1  1
----------------+-----+---------+-----------------+------------
both( . . o3x ) |   3 |   3   0 | 192   *   *   * |  1  0  0  1
      β3o . .   ♦   3 |   0   3 |   * 192   *   * |  0  1  1  0
sefa( β3o4o . ) |   4 |   0   4 |   *   * 144   * |  0  1  0  1
sefa( β3o . x ) |   4 |   2   2 |   *   *   * 288 |  0  0  1  1
----------------+-----+---------+-----------------+------------
both( . o4o3x ) ♦   6 |  12   0 |   8   0   0   0 | 24  *  *  *
      β3o4o .   ♦   6 |   0  24 |   0   8   6   0 |  * 24  *  *
      β3o . x   ♦   6 |   3   6 |   0   2   0   3 |  *  * 96  *
sefa( β3o4o3x ) ♦  24 |  24  24 |   8   0   6  12 |  *  *  * 24

starting figure: x3o4o3x