| genus c | 56, non-orientable |
| Schläfli formula c | {24,12} |
| V / F / E c | 12 / 6 / 72 |
| notes |
|
| vertex, face multiplicity c | 2, 6 |
| 48, each with 3 edges | |
| rotational symmetry group | 288 elements. |
| full symmetry group | 288 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, sr‑1s‑2r‑2t, (sr‑3)2 > |
| C&D number c | N56.7′ |
| 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 56.
| Orientable | |
| Non-orientable |