180, each with 8 edges
144, each with 10 edges
240, each with 6 edges
360, each with 4 edges
144, each with 10 edges
144, each with 10 edges
| genus c | 91, orientable |
| Schläfli formula c | {4,8} |
| V / F / E c | 180 / 360 / 720 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 180, each with 8 edges 180, each with 8 edges 144, each with 10 edges 240, each with 6 edges 360, each with 4 edges 144, each with 10 edges 144, each with 10 edges | |
| rotational symmetry group | (A6 ⋊ C2) ⋊ C2, with 1440 elements |
| full symmetry group | 2880 elements. |
| its presentation c | < r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s8, (rs‑2rs‑1rs‑1)2, srs‑1r‑1srs‑1r‑2s‑1rsr‑1s‑1rs, s2r‑1srs‑2r‑2s2r‑1s3r‑1 > |
| C&D number c | R91.10 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
List of regular maps in orientable genus 91.
| Orientable | |
| Non-orientable |