| genus c | 81, orientable |
| Schläfli formula c | {30,5} |
| V / F / E c | 120 / 20 / 300 |
| notes |
|
| vertex, face multiplicity c | 1, 5 |
| 150, each with 4 edges 30, each with 20 edges 100, each with 6 edges | |
| rotational symmetry group | 600 elements. |
| full symmetry group | 1200 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, s‑5, r‑1s‑1rs2rs‑1r‑1, sr‑1s‑2r3s‑2r‑1sr‑3 > |
| C&D number c | R81.40′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
Its 2-hole derivative is
List of regular maps in orientable genus 81.
| Orientable | |
| Non-orientable |