| genus c | 57, orientable |
| Schläfli formula c | {10,20} |
| V / F / E c | 16 / 32 / 160 |
| notes |
|
| vertex, face multiplicity c | 4, 2 |
| 80, each with 4 edges | |
| rotational symmetry group | 320 elements. |
| full symmetry group | 640 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, s‑1r‑1sr2sr‑1s‑1, r10, (rs‑1r3)2, (rs‑2rs‑1)2, s‑1rs‑1r‑3s‑1rs‑1r2 > |
| 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 |