genus c | 56, orientable |
Schläfli formula c | {12,3} |
V / F / E c | 440 / 110 / 660 |
notes | |
vertex, face multiplicity c | 1, 1 |
110, each with 12 edges | |
rotational symmetry group | PSL(2,11) ⋊ C2, with 1320 elements |
full symmetry group | 2640 elements. |
its presentation c | < r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, r12, r2sr‑4s‑1r2s‑1r‑4sr2, r‑2sr‑3sr‑2s2r2s‑1r2s‑1r‑2sr‑1 > |
C&D number c | R56.2′ |
The statistics marked c are from the published work of Professor Marston Conder. |
It is self-Petrie dual.
List of regular maps in orientable genus 56.
Orientable | |
Non-orientable |