genus c | 61, orientable |
Schläfli formula c | {6,4} |
V / F / E c | 360 / 240 / 720 |
notes | |
vertex, face multiplicity c | 1, 1 |
144, each with 10 edges 180, each with 8 edges 180, each with 8 edges | |
rotational symmetry group | (A6 ⋊ C2) ⋊ C2, with 1440 elements |
full symmetry group | 1440 elements. |
its presentation c | < r, s | s4, (sr)2, r6, r‑1sr‑1sr‑1s‑1rs‑2rs‑1rs‑1rs‑1r‑1, (sr‑1)8, r‑1sr‑2sr‑2s‑2r‑1sr2s‑1rs‑1r‑1s > |
C&D number c | C61.1′ |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 61.
Orientable | |
Non-orientable |