| genus c | 57, non-orientable |
| Schläfli formula c | {12,3} |
| V / F / E c | 220 / 55 / 330 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 55, each with 12 edges | |
| rotational symmetry group | 1320 elements. |
| full symmetry group | 1320 elements. |
| its presentation c | < r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, r12, r‑2s‑1r2sr‑2sr‑1sr‑2str‑1, r2tsr‑2sr‑3sr6s‑1r > |
| C&D number c | N57.2′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-Petrie dual.
List of regular maps in non-orientable genus 57.
| Orientable | |
| Non-orientable |