genus c | 61, orientable |
Schläfli formula c | {6,4} |
V / F / E c | 360 / 240 / 720 |
notes | |
vertex, face multiplicity c | 1, 1 |
180, each with 8 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, s4, (sr)2, (st)2, (rt)2, r6, rsr‑1s‑1rsr‑1s‑2r‑1srs‑1r‑1sr, s‑1rs‑1rs‑1rsr‑1s2r2s‑1r2s‑1r‑2 > |
C&D number c | R61.2′ |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 61.
Orientable | |
Non-orientable |