| genus c | 137, non-orientable |
| Schläfli formula c | {8,6} |
| V / F / E c | 108 / 81 / 324 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 81, each with 8 edges | |
| rotational symmetry group | 1296 elements. |
| full symmetry group | 1296 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, s6, r8, rs2r‑1s2rs‑1rs‑1, sr‑4s2r3s‑1r‑1, s‑1tr‑1s2r‑1s‑3rs‑2rs‑1 > |
| C&D number c | N137.3′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-Petrie dual.
List of regular maps in non-orientable genus 137.
| Orientable | |
| Non-orientable |