| genus c | 81, orientable |
| Schläfli formula c | {165,110} |
| V / F / E c | 3 / 2 / 165 |
| notes | |
| vertex, face multiplicity c | 55, 165 |
| 55, each with 6 edges | |
| rotational symmetry group | 330 elements. |
| full symmetry group | 660 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, rsr‑2sr3, s‑1r16s‑8rs‑1r2s‑1rs‑23r > |
| C&D number c | R81.178′ |
| 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 |