| genus c | 57, orientable |
| Schläfli formula c | {228,4} |
| V / F / E c | 114 / 2 / 228 |
| notes |
|
| vertex, face multiplicity c | 2, 228 |
| 4, each with 114 edges | |
| rotational symmetry group | 456 elements. |
| full symmetry group | 912 elements. |
| its presentation c | < r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r57s2r57 > |
| C&D number c | R57.13′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be built by 3-splitting
It is a member of series j.
List of regular maps in orientable genus 57.
| Orientable | |
| Non-orientable |