| genus c | 164, non-orientable |
| Schläfli formula c | {84,6} |
| V / F / E c | 84 / 6 / 252 |
| notes |
|
| vertex, face multiplicity c | 1, 21 |
| 24, each with 21 edges | |
| rotational symmetry group | 1008 elements. |
| full symmetry group | 1008 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, s6, (sr‑1)4, (sr‑3)2, rsr‑1s3r‑1srs‑1, r‑11s2r‑2srtr‑7 > |
| C&D number c | N164.7′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
List of regular maps in non-orientable genus 164.
| Orientable | |
| Non-orientable |