| genus c | 56, non-orientable |
| Schläfli formula c | {10,4} |
| V / F / E c | 90 / 36 / 180 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 36, each with 10 edges | |
| rotational symmetry group | 720 elements. |
| full symmetry group | 720 elements. |
| its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (rs‑1r)3, sr‑1sr‑1s2rs‑1rt, r10, r‑1s‑1r2sr‑1sr2s‑1r‑2 > |
| C&D number c | N56.3′ |
| 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 |