110, each with 12 edges
60, each with 22 edges
264, each with 5 edges
110, each with 12 edges
330, each with 4 edges
220, each with 6 edges
264, each with 5 edges
132, each with 10 edges
132, each with 10 edges
132, each with 10 edges
| genus c | 56, orientable |
| Schläfli formula c | {3,12} |
| V / F / E c | 110 / 440 / 660 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 132, each with 10 edges 110, each with 12 edges 60, each with 22 edges 264, each with 5 edges 110, each with 12 edges 330, each with 4 edges 220, each with 6 edges 264, each with 5 edges 132, each with 10 edges 132, each with 10 edges 132, each with 10 edges | |
| rotational symmetry group | PSL(2,11) ⋊ C2, with 1320 elements |
| full symmetry group | 2640 elements. |
| its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s12, (sr‑1s)5, s‑1r‑1s2r‑1s3r2s3r‑1s2r‑1s‑1 > |
| C&D number c | R56.1 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
List of regular maps in orientable genus 56.
| Orientable | |
| Non-orientable |