| genus c | 166, non-orientable |
| Schläfli formula c | {45,4} |
| V / F / E c | 180 / 16 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 9 |
| 16, each with 45 edges | |
| rotational symmetry group | 1440 elements. |
| full symmetry group | 1440 elements. |
| its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑1)4, (sr‑4)2, sr‑2sr‑1s2r‑2sr‑1t, r‑45 > |
| C&D number c | N166.1′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-Petrie dual.
List of regular maps in non-orientable genus 166.
| Orientable | |
| Non-orientable |