| genus c | 57, orientable |
| Schläfli formula c | {20,10} |
| V / F / E c | 32 / 16 / 160 |
| notes |
|
| vertex, face multiplicity c | 2, 4 |
| 80, each with 4 edges | |
| rotational symmetry group | 320 elements. |
| full symmetry group | 640 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, r‑1s‑1rs2rs‑1r‑1, s10, (sr‑1s3)2, (sr‑2sr‑1)2, r‑1sr‑1s‑3r‑1sr‑1s2 > |
| C&D number c | R57.52′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
List of regular maps in orientable genus 57.
| Orientable | |
| Non-orientable |