144, each with 5 edges
72, each with 10 edges
120, each with 6 edges
120, each with 6 edges
| genus c | 61, orientable |
| Schläfli formula c | {6,6} |
| V / F / E c | 120 / 120 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 90, each with 8 edges 144, each with 5 edges 72, each with 10 edges 120, each with 6 edges 120, each with 6 edges | |
| rotational symmetry group | S6, with 720 elements |
| full symmetry group | 720 elements. |
| its presentation c | < r, s | (rs)2, r6, s6, (s‑1r)5, s‑1r‑1srs‑1r2s‑1rs‑2r > |
| C&D number c | C61.7 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
It can be rectified to give
List of regular maps in orientable genus 61.
| Orientable | |
| Non-orientable |