genus c | 51, orientable |
Schläfli formula c | {16,8} |
V / F / E c | 40 / 20 / 160 |
notes | ![]() ![]() |
vertex, face multiplicity c | 2, 4 |
4, each with 80 edges | |
rotational symmetry group | 320 elements. |
full symmetry group | 320 elements. |
its presentation c | < r, s | (sr)2, s8, (sr‑1s2)2, (sr‑3)2, r‑3s4r‑5, rs2r‑2s2r2s‑1rs‑1 > |
C&D number c | C51.14′ |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 51.
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