| genus c | 56, orientable |
| Schläfli formula c | {126,18} |
| V / F / E c | 14 / 2 / 126 |
| notes | |
| vertex, face multiplicity c | 9, 126 |
| 18, each with 14 edges | |
| rotational symmetry group | 252 elements. |
| full symmetry group | 504 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, r‑2s‑1r6s‑1r‑6, s‑2rs‑13rs‑1 > |
| C&D number c | R56.17′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be built by 2-splitting
List of regular maps in orientable genus 56.
| Orientable | |
| Non-orientable |