| genus c | 81, orientable |
| Schläfli formula c | {24,4} |
| V / F / E c | 192 / 32 / 384 |
| notes |
|
| vertex, face multiplicity c | 1, 6 |
| 16, each with 48 edges | |
| rotational symmetry group | 768 elements. |
| full symmetry group | 1536 elements. |
| its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑3)2, (sr‑1)8, sr‑1s‑1rsr‑1s‑1rsr‑1s2r‑5sr2 > |
| C&D number c | R81.29′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It can be built by 3-splitting
List of regular maps in orientable genus 81.
| Orientable | |
| Non-orientable |