genus c | 81, orientable |
Schläfli formula c | {48,16} |
V / F / E c | 24 / 8 / 192 |
notes | ![]() |
vertex, face multiplicity c | 4, 12 |
32, each with 12 edges | |
rotational symmetry group | 384 elements. |
full symmetry group | 768 elements. |
its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, r‑1sr‑1s2r‑1sr‑1, rs5rs‑3, r2sr‑4s2r‑4sr2 > |
C&D number c | R81.138′ |
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