42, each with 8 edges
24, each with 14 edges
84, each with 4 edges
56, each with 6 edges
56, each with 6 edges
56, each with 6 edges
| genus c | 8, orientable |
| Schläfli formula c | {3,8} |
| V / F / E c | 42 / 112 / 168 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 42, each with 8 edges 42, each with 8 edges 24, each with 14 edges 84, each with 4 edges 56, each with 6 edges 56, each with 6 edges 56, each with 6 edges | |
| rotational symmetry group | PSL(3,2) ⋊ C2, with 336 elements |
| full symmetry group | 672 elements. |
| its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s8, (rs‑2)4 > |
| C&D number c | R8.1 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be 2-split to give
Its 3-hole derivative is
List of regular maps in orientable genus 8.
| Orientable | |
| Non-orientable |