By virtue of an outer symmetry this is a non-quasiregular monotoxal pentacomb, that is all edges belong to the same equivalence class.

Incidence matrix according to Dynkin symbol

x3o3o3x3o3o3*a   (N → ∞)

. . . . . .      | 10N |  18 |   36  36 |  12   72  18 | 12  12  18  18 | 12 2  verf: tridafup var. xo3ox xo3ox&#q
-----------------+-----+-----+----------+--------------+----------------+-----
x . . . . .    & |   2 | 90N |    4   4 |   2   12   4 |  4   4   4   5 |  6 1
-----------------+-----+-----+----------+--------------+----------------+-----
x3o . . . .    & |   3 |   3 | 120N   * |   1    2   2 |  2   3   1   2 |  4 1
x . . x . .      |   4 |   4 |    * 90N |   0    4   0 |  2   0   2   2 |  4 0
-----------------+-----+-----+----------+--------------+----------------+-----
x3o3o . . .    & ♦   4 |   6 |    4   0 | 30N    *   * |  2   2   0   0 |  3 1
x3o . x . .    & ♦   6 |   9 |    2   3 |   * 120N   * |  1   0   1   1 |  3 0
x3o . . . o3*a & ♦   6 |  12 |    8   0 |   *    * 30N |  0   2   0   1 |  2 1
-----------------+-----+-----+----------+--------------+----------------+-----
x3o3o3x . .    & ♦  20 |  60 |   40  30 |  10   20   0 | 6N   *   *   * |  2 0
x3o3o . . o3*a & ♦  10 |  30 |   30   0 |   5    0   5 |  * 12N   *   * |  1 1
x3o . x3o .    & ♦   9 |  18 |    6   9 |   0    6   0 |  *   * 20N   * |  2 0
x3o . x . o3*a & ♦  12 |  30 |   16  12 |   0    8   2 |  *   *   * 15N |  2 0
-----------------+-----+-----+----------+--------------+----------------+-----
x3o3o3x3o .    & ♦  60 | 270 |  240 180 |  45  180  30 |  6   6  20  15 | 2N *
x3o3o . o3o3*a & ♦  20 |  90 |  120   0 |  30    0  30 |  0  12   0   0 |  * N