genus c | 81, orientable |
Schläfli formula c | {6,8} |
V / F / E c | 96 / 128 / 384 |
notes | ![]() ![]() |
vertex, face multiplicity c | 2, 1 |
32, each with 24 edges | |
rotational symmetry group | 768 elements. |
full symmetry group | 768 elements. |
its presentation c | < r, s | (rs)2, r6, (rs‑3)2, s8, rs‑2rs‑1r2sr‑1sr‑1s‑1, r2s‑1r2s‑1r2s2r‑1s‑1rs‑1 > |
C&D number c | C81.16 |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 81.
Orientable | |
Non-orientable |
Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720