| genus c | 57, orientable |
| Schläfli formula c | {32,32} |
| V / F / E c | 8 / 8 / 128 |
| notes |
|
| vertex, face multiplicity c | 16, 8 |
| 32, each with 8 edges | |
| rotational symmetry group | 256 elements. |
| full symmetry group | 512 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, rsr‑3sr4, s‑1rs‑3rs‑1rs‑16rs‑1rs‑4r > |
| C&D number c | R57.58′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
List of regular maps in orientable genus 57.
| Orientable | |
| Non-orientable |