| genus c | 164, non-orientable |
| Schläfli formula c | {6,12} |
| V / F / E c | 54 / 108 / 324 |
| notes |
|
| vertex, face multiplicity c | 2, 1 |
| 108, each with 6 edges | |
| rotational symmetry group | 1296 elements. |
| full symmetry group | 1296 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1)4, r2s‑1r3s‑1rs‑1t, srs‑1r‑1sr2sr‑1s‑1rs, s12, rs‑2r2s‑1r2s‑2rs‑3 > |
| C&D number c | N164.6 |
| 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 164.
| Orientable | |
| Non-orientable |