genus c | 81, orientable |
Schläfli formula c | {4,24} |
V / F / E c | 32 / 192 / 384 |
notes | ![]() |
vertex, face multiplicity c | 2, 1 |
32, each with 24 edges | |
rotational symmetry group | 768 elements. |
full symmetry group | 1536 elements. |
its presentation c | < r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑1)4, s‑2rs‑2r2s‑2rs‑2, s24 > |
C&D number c | R81.20 |
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