| genus c | 164, non-orientable |
| Schläfli formula c | {12,24} |
| V / F / E c | 18 / 36 / 216 |
| notes |
|
| vertex, face multiplicity c | 2, 2 |
| 72, each with 6 edges | |
| rotational symmetry group | 864 elements. |
| full symmetry group | 864 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, sr‑4sr‑1s‑1t, s‑1r‑1sr3sr‑1s‑1r, s‑4rs‑1r2s‑1rs‑4 > |
| C&D number c | N164.8 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
List of regular maps in non-orientable genus 164.
| Orientable | |
| Non-orientable |