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

x3o3x3o3o3o3*a   (N → ∞)

. . . . . .      | 15N |   16 |   8  24   24 |  12  12   48  16 |  24   8  16  12   4 |  8 6  2 2  verf: hexip var. xx xo3oo3ox&#q
-----------------+-----+------+--------------+------------------+---------------------+----------
x . . . . .    & |   2 | 120N |   1   3    3 |   3   3    9   3 |   9   3   4   3   1 |  4 3  1 1
-----------------+-----+------+--------------+------------------+---------------------+----------
x3o . . . .    & |   3 |    3 | 40N   *    * |   3   3    0   0 |   9   3   0   0   0 |  4 3  1 0
x . x . . .      |   4 |    4 |   * 90N    * |   1   0    4   0 |   4   0   2   2   0 |  2 2  0 1
x . . . . o3*a & |   3 |    3 |   *   * 120N |   0   1    2   2 |   2   2   2   1   1 |  2 1  1 1
-----------------+-----+------+--------------+------------------+---------------------+----------
x3o3x . . .      ♦  12 |   24 |   8   6    0 | 15N   *    *   * |   4   0   0   0   0 |  2 2  0 0
x3o . . . o3*a & ♦   6 |   12 |   4   0    4 |   * 30N    *   * |   2   2   0   0   0 |  2 1  1 0
x . x3o . .    & ♦   6 |    9 |   0   3    2 |   *   * 120N   * |   1   0   1   1   0 |  1 1  0 1
x . . . o3o3*a & ♦   4 |    6 |   0   0    4 |   *   *    * 60N |   0   1   1   0   1 |  1 0  1 1
-----------------+-----+------+--------------+------------------+---------------------+----------
x3o3x3o . .    & ♦  30 |   90 |  30  30   20 |   5   5   10   0 | 12N   *   *   *   * |  1 1  0 
x3o . . o3o3*a & ♦  10 |   30 |  10   0   20 |   0   5    0   5 |   * 12N   *   *   * |  1 0  1 0
x . x3o3o .    & ♦   8 |   16 |   0   6    8 |   0   0    4   2 |   *   * 30N   *   * |  1 0  0 1
x . x3o . o3*a & ♦   9 |   18 |   0   9    6 |   0   0    6   0 |   *   *   * 20N   * |  0 1  0 1
x . . o3o3o3*a & ♦   5 |   10 |   0   0   10 |   0   0    0   5 |   *   *   *   * 12N |  0 0  1 1
-----------------+-----+------+--------------+------------------+---------------------+----------
x3o3x3o3o .    & ♦  60 |  240 |  80  90  120 |  15  30   60  30 |   6   6  15   0   0 | 2N *  * *
x3o3x3o . o3*a   ♦  90 |  360 | 120 180  120 |  30  30  120   0 |  12   0   0  20   0 |  * N  * *
x3o . o3o3o3*a & ♦  15 |   60 |  20   0   60 |   0  15    0  30 |   0   6   0   0   6 |  * * 2N *
x . x3o3o3o3*a   ♦  30 |  120 |   0  90  120 |   0   0  120  60 |   0   0  30  20  12 |  * *  * N