| genus c | 81, orientable |
| Schläfli formula c | {56,168} |
| V / F / E c | 2 / 6 / 168 |
| notes | |
| vertex, face multiplicity c | 168, 28 |
| 56, each with 6 edges | |
| rotational symmetry group | 336 elements. |
| full symmetry group | 672 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, sr3sr‑1, srs‑2rs3, r41s‑1rs‑2rs‑1r9 > |
| C&D number c | R81.174 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
List of regular maps in orientable genus 81.
| Orientable | |
| Non-orientable |