genus c | 17, orientable |
Schläfli formula c | {7,3} |
V / F / E c | 448 / 192 / 672 |
notes | ![]() ![]() ![]() |
vertex, face multiplicity c | 1, 1 |
84, each with 16 edges | |
rotational symmetry group | (C2 x C2 x C2) . PSL(3,2), with 1344 elements |
full symmetry group | 1344 elements. |
its presentation c | < r, s | s‑3, (sr)2, r‑7, r‑1sr‑2sr‑2sr‑2s‑1rs‑1rs‑1r‑2sr‑2sr‑2sr‑1, rsr‑2sr‑3sr‑2sr‑1sr3s‑1r2s‑1r‑2sr2 > |
C&D number c | C17.1′ |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 17.
Orientable | |
Non-orientable |