| genus c | 56, non-orientable |
| Schläfli formula c | {4,6} |
| V / F / E c | 108 / 162 / 324 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 72, each with 9 edges | |
| rotational symmetry group | 1296 elements. |
| full symmetry group | 1296 elements. |
| its presentation c | < r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, (rs‑1)4, rs‑1r‑1srs‑2rs‑1r2s2r‑1s‑1rts‑1rs2 > |
| C&D number c | N56.1 |
| 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 56.
| Orientable | |
| Non-orientable |