60, each with 11 edges
165, each with 4 edges
| genus c | 45, orientable |
| Schläfli formula c | {6,5} |
| V / F / E c | 132 / 110 / 330 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 55, each with 12 edges 60, each with 11 edges 165, each with 4 edges | |
| rotational symmetry group | PSL(2,11), with 660 elements |
| full symmetry group | 1320 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, s‑5, r6, (sr‑1sr‑1s)2, r‑1s‑1rsr‑1s‑2r‑2sr‑1sr‑1 > |
| C&D number c | R45.12′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
Its 2-hole derivative is
List of regular maps in orientable genus 45.
| Orientable | |
| Non-orientable |