56, each with 6 edges
42, each with 8 edges
84, each with 4 edges
24, each with 14 edges
42, each with 8 edges
42, each with 8 edges
| genus c | 40, orientable |
| Schläfli formula c | {7,8} |
| V / F / E c | 42 / 48 / 168 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 56, each with 6 edges 56, each with 6 edges 42, each with 8 edges 84, each with 4 edges 24, each with 14 edges 42, each with 8 edges 42, each with 8 edges | |
| rotational symmetry group | PSL(3,2) ⋊ C2, with 336 elements |
| full symmetry group | 672 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r‑7, s8, s‑1r‑1sr3sr‑1s‑1r > |
| C&D number c | R40.10 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
Its 3-hole derivative is
List of regular maps in orientable genus 40.
| Orientable | |
| Non-orientable |