168, each with 8 edges
168, each with 8 edges
| genus c | 57, orientable |
| Schläfli formula c | {6,4} |
| V / F / E c | 336 / 224 / 672 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 168, each with 8 edges 168, each with 8 edges 168, each with 8 edges | |
| rotational symmetry group | C4 ⋊ (PSL(3,2) ⋊ C2), with 1344 elements |
| full symmetry group | 2688 elements. |
| its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, rsr‑1s‑1rsr‑1s‑2r‑1srs‑1r‑1sr, (sr‑1)8, r‑1sr‑3sr‑1sr‑1s2r2s‑1r‑1sr‑1s > |
| C&D number c | R57.2′ |
| 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 |