genus c | 75, orientable |
Schläfli formula c | {3,12} |
V / F / E c | 148 / 592 / 888 |
notes | ![]() ![]() |
vertex, face multiplicity c | 2, 1 |
6, each with 296 edges | |
rotational symmetry group | 1776 elements. |
full symmetry group | 1776 elements. |
its presentation c | < r, s | r‑3, (rs)2, (rs‑5)2, sr‑1s2r‑1s2rs‑2r‑1s2rs‑2rs‑2r‑1sr‑1s2r‑1s‑2rs2r‑1s3r‑1s2r‑1s2r‑1s > |
C&D number c | C75.1 |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 75.
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