| genus c | 51, orientable |
| Schläfli formula c | {36,8} |
| V / F / E c | 36 / 8 / 144 |
| notes |
|
| vertex, face multiplicity c | 4, 18 |
| 4, each with 72 edges | |
| rotational symmetry group | 288 elements. |
| full symmetry group | 576 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (sr‑1)2, (st)2, (rt)2, s8, r36 > |
| C&D number c | R51.20′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It can be built by 9-splitting
List of regular maps in orientable genus 51.
| Orientable | |
| Non-orientable |