80, each with 6 edges
60, each with 8 edges
40, each with 12 edges
60, each with 8 edges
60, each with 8 edges
80, each with 6 edges
120, each with 4 edges
120, each with 4 edges
| genus c | 67, orientable |
| Schläfli formula c | {8,10} |
| V / F / E c | 48 / 60 / 240 |
| notes |
|
| vertex, face multiplicity c | 1, 2 |
| 40, each with 12 edges 80, each with 6 edges 60, each with 8 edges 40, each with 12 edges 60, each with 8 edges 60, each with 8 edges 80, each with 6 edges 120, each with 4 edges 120, each with 4 edges | |
| rotational symmetry group | (SL(2,5) ⋊ C2) ⋊ C2, with 480 elements |
| full symmetry group | 960 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r8, (rs‑1r2)2, s10, s2r‑1sr3s2r‑1sr‑1, s4r3s4r‑1 > |
| C&D number c | R67.10 |
| 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 67.
| Orientable | |
| Non-orientable |