| genus c | 81, orientable |
| Schläfli formula c | {84,84} |
| V / F / E c | 4 / 4 / 168 |
| notes |
|
| vertex, face multiplicity c | 42, 42 |
| 84, each with 4 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‑1rs2, r72s‑1rs‑1r9 > |
| C&D number c | R81.177 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
List of regular maps in orientable genus 81.
| Orientable | |
| Non-orientable |