Looks like a compound of 2 heptacontidiaicosiheptapeta (kaje), and indeed all elements except the vertices and edges coincide by pairs. In fact the vertex figure itself is the Grünbaumian double-covered 2dah, and even its edge figure is the according double-covered 2firp.

Incidence matrix according to Dynkin symbol

x3o3o3o3/2o3o3*b

. . . .   . .    | 27 ♦  16 |  160 |  160  160 |  80  80  80 | 16 16 16 16
-----------------+----+-----+------+-----------+-------------+------------
x.. . .   . .    |  2 | 216 ♦   20 |   30   30 |  20  30  20 |  5 10 10  5
-----------------+----+-----+------+-----------+-------------+------------
x3o . .   . .    |  3 |   3 | 1440 |    3    3 |   3   6   3 |  1  3  3  1
-----------------+----+-----+------+-----------+-------------+------------
x3o3o .   . .    ♦  4 |   6 |    4 | 1080    * |   2   2   0 |  1  2  1  0
x3o . .   . o3*b ♦  4 |   6 |    4 |    * 1080 |   0   2   2 |  0  1  2  1
-----------------+----+-----+------+-----------+-------------+------------
x3o3o3o   . .    ♦  5 |  10 |   10 |    5    0 | 432   *   * |  1  1  0  0
x3o3o .   . o3*b ♦  8 |  24 |   32 |    8    8 |   * 270   * |  0  1  1  0
x3o . .   o3o3*b ♦  5 |  10 |   10 |    0    5 |   *   * 432 |  0  0  1  1
-----------------+----+-----+------+-----------+-------------+------------
x3o3o3o3/2o .    ♦  6 |  15 |   20 |   15    0 |   6   0   0 | 72  *  *  *
x3o3o3o   . o3*b ♦ 16 |  80 |  160 |   80   40 |  16  10   0 |  * 27  *  *
x3o3o .   o3o3*b ♦ 16 |  80 |  160 |   40   80 |   0  10  16 |  *  * 27  *
x3o . o3/2o3o3*b ♦  6 |  15 |   20 |    0   15 |   0   0   6 |  *  *  * 72

or
. . . .   . .      | 27 ♦  16 |  160 |  320 | 160  80 |  32 32
-------------------+----+-----+------+------+---------+-------
x.. . .   . .      |  2 | 216 ♦   20 |   60 |  40  30 |  10 20
-------------------+----+-----+------+------+---------+-------
x3o . .   . .      |  3 |   3 | 1440 |    6 |   6   6 |   2  6
-------------------+----+-----+------+------+---------+-------
x3o3o .   . .    & ♦  4 |   6 |    4 | 2160 |   2   2 |   1  3
-------------------+----+-----+------+------+---------+-------
x3o3o3o   . .    & ♦  5 |  10 |   10 |    5 | 864   * |   1  1
x3o3o .   . o3*b   ♦  8 |  24 |   32 |   16 |   * 270 |   0  2
-------------------+----+-----+------+------+---------+-------
x3o3o3o3/2o .    & ♦  6 |  15 |   20 |   15 |   6   0 | 144  *
x3o3o3o   . o3*b & ♦ 16 |  80 |  160 |  120 |  16  10 |   * 54