| genus c | 51, orientable |
| Schläfli formula c | {54,4} |
| V / F / E c | 108 / 8 / 216 |
| notes |
|
| vertex, face multiplicity c | 1, 18 |
| 8, each with 54 edges | |
| rotational symmetry group | 432 elements. |
| full symmetry group | 864 elements. |
| its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2)2, r54 > |
| C&D number c | R51.9′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-Petrie dual.
It can be built by 2-splitting
It is the result of rectifying
List of regular maps in orientable genus 51.
| Orientable | |
| Non-orientable |