This complex polychoron can be considered to be the mutual Stott expansion either of x₃-3-o₃-3-o₃-3-o₃ by o₃-3-o₃-3-x₃-3-o₃, or the other way round. Accordingly the new vertex count is (in the first view) just the product of the former vertex count with the edge count of its vertex figure.

In order to derive the other total counts it is best done by considering the new vertex figure. That happens to be an extrapolation of sqare wedge (i.e. square || line). In fact, the vertex figure in here is just x₃   x₃ || o₃   x₃. (The remaining numbers of the incidence matrix then can easily be derived by means of the general incidence matrix relation.)

Incidence matrix according to Dynkin symbol

x3-3-o3-3-x3-3-o3

.    .    .    .  | 17280 |     3     9 |    1     9    3    3 |   3    3   1
-----------------+-------+-------------+----------------------+--------------
x3   .    .    .  |     3 | 17280     * |    1     3    0    0 |   3    1   0
.    .    x3   .  |     3 |     * 51840 |    0     1    1    1 |   1    1   1
-----------------+-------+-------------+----------------------+--------------
x3-3-o3   .    .  |     8 |     8     0 | 2160     *    *    * |   3    0   0
x3   .    x3   .  |     9 |     3     3 |    * 17280    *    * |   1    1   0
.    o3-3-x3   .  |     8 |     0     8 |    *     * 6480    * |   1    0   1
.    .    x3-3-o3 |     8 |     0     8 |    *     *    * 6480 |   0    1   1
-----------------+-------+-------------+----------------------+--------------
x3-3-o3-3-x3   .  |   216 |   216   216 |   27    72   27    0 | 240    *   *
x3   .    x3-3-o3 |    24 |     8    24 |    0     8    0    3 |   * 2160   *
.    o3-3-x3-3-o3 |    72 |     0   216 |    0     0   27   27 |   *    * 240