| genus c | 56, non-orientable |
| Schläfli formula c | {6,4} |
| V / F / E c | 162 / 108 / 324 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 108, each with 6 edges | |
| rotational symmetry group | 1296 elements. |
| full symmetry group | 1296 elements. |
| its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, r‑1s‑1rsr‑1s2r‑1srs‑1r‑1, rtsr‑1sr‑1s‑2rs‑1rs‑1rs‑1 > |
| C&D number c | N56.2′ |
| 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 56.
| Orientable | |
| Non-orientable |