genus c | 15, orientable |
Schläfli formula c | {9,3} |
V / F / E c | 168 / 56 / 252 |
notes | ![]() ![]() |
vertex, face multiplicity c | 1, 1 |
36, each with 14 edges | |
rotational symmetry group | PSL(2,8), with 504 elements |
full symmetry group | 1008 elements. |
its presentation c | < r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, r‑9, r2sr‑4s‑1r2s‑1r4s‑1r > |
C&D number c | R15.1′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
It can be 2-split to give
List of regular maps in orientable genus 15.
Orientable | |
Non-orientable |