genus c | 56, orientable |
Schläfli formula c | {21,8} |
V / F / E c | 42 / 16 / 168 |
notes | |
vertex, face multiplicity c | 2, 7 |
4, each with 84 edges | |
rotational symmetry group | 336 elements. |
full symmetry group | 672 elements. |
its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, (sr‑2)2, s8, (sr‑1s2)2, r‑21 > |
C&D number c | R56.10′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
It can be built by 7-splitting
List of regular maps in orientable genus 56.
Orientable | |
Non-orientable |