180, each with 4 edges
120, each with 6 edges
90, each with 8 edges
90, each with 8 edges
240, each with 3 edges
120, each with 6 edges
| genus c | 46, orientable |
| Schläfli formula c | {4,8} |
| V / F / E c | 90 / 180 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 72, each with 10 edges 180, each with 4 edges 120, each with 6 edges 90, each with 8 edges 90, each with 8 edges 240, each with 3 edges 120, each with 6 edges | |
| rotational symmetry group | A6 . C2, with 720 elements |
| full symmetry group | 1440 elements. |
| its presentation c | < r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑1)4, s8, (s‑2rs‑1)3, s2r‑1srs‑1r‑2s2r‑1s2r‑1 > |
| C&D number c | R46.4 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its 3-hole derivative is
List of regular maps in orientable genus 46.
| Orientable | |
| Non-orientable |