132, each with 5 edges
66, each with 10 edges
220, each with 3 edges
110, each with 6 edges
| genus c | 56, orientable |
| Schläfli formula c | {6,6} |
| V / F / E c | 110 / 110 / 330 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 66, each with 10 edges 132, each with 5 edges 66, each with 10 edges 220, each with 3 edges 110, each with 6 edges | |
| rotational symmetry group | PSL(2,11), with 660 elements |
| full symmetry group | 1320 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, (r‑2s)3, (sr‑1s)3, (s‑1r)5 > |
| C&D number c | R56.6 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
List of regular maps in orientable genus 56.
| Orientable | |
| Non-orientable |