270, each with 8 edges
216, each with 10 edges
144, each with 15 edges
90, each with 24 edges
216, each with 10 edges
216, each with 10 edges
| genus c | 46, orientable |
| Schläfli formula c | {3,8} |
| V / F / E c | 270 / 720 / 1080 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 72, each with 30 edges 270, each with 8 edges 216, each with 10 edges 144, each with 15 edges 90, each with 24 edges 216, each with 10 edges 216, each with 10 edges | |
| rotational symmetry group | C3 ⋊ (A6 ⋊ C2), with 2160 elements |
| full symmetry group | 4320 elements. |
| its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s8, srs‑2rs‑3rs‑2rs3r‑1s3r‑1s2 > |
| C&D number c | R46.1 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
List of regular maps in orientable genus 46.
| Orientable | |
| Non-orientable |