| genus c | 178, non-orientable |
| Schläfli formula c | {15,4} |
| V / F / E c | 240 / 64 / 480 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 64, each with 15 edges | |
| rotational symmetry group | 1920 elements. |
| full symmetry group | 1920 elements. |
| its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑1)4, (sr‑2)4, r3s‑1r2s‑2rs‑1r‑2sr‑2t, r‑15 > |
| C&D number c | N178.1′ |
| 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 178.
| Orientable | |
| Non-orientable |