| genus c | 164, non-orientable |
| Schläfli formula c | {24,12} |
| V / F / E c | 36 / 18 / 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, (sr)2, (st)2, (rt)2, rs‑4rs‑1r‑1t, r‑1s‑1rs3rs‑1r‑1s, r‑4sr‑1s2r‑1sr‑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 |