168, each with 8 edges
96, each with 14 edges
112, each with 12 edges
168, each with 8 edges
224, each with 6 edges
224, each with 6 edges
| genus c | 85, orientable |
| Schläfli formula c | {4,8} |
| V / F / E c | 168 / 336 / 672 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 224, each with 6 edges 168, each with 8 edges 96, each with 14 edges 112, each with 12 edges 168, each with 8 edges 224, each with 6 edges 224, each with 6 edges | |
| rotational symmetry group | C4 x (PSL(3,2) ⋊ C2), with 1344 elements |
| full symmetry group | 2688 elements. |
| its presentation c | < r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s8, s‑1r‑1srs‑1r2s‑1rsr‑1s‑1, s‑3r‑1s2r‑2s‑2rs2r‑1s‑1r > |
| C&D number c | R85.12 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
List of regular maps in orientable genus 85.
| Orientable | |
| Non-orientable |