| genus c | 82, orientable |
| Schläfli formula c | {3,18} |
| V / F / E c | 81 / 486 / 729 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 81, each with 18 edges | |
| rotational symmetry group | 1458 elements. |
| full symmetry group | 2916 elements. |
| its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, (sr‑1s3)3, srs‑5rs‑1rs6r‑1s, s18, s‑3r‑1s3rs‑2r‑1sr‑1s3r‑1s2r‑1s‑2 > |
| C&D number c | R82.7 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
List of regular maps in orientable genus 82.
| Orientable | |
| Non-orientable |