| genus c | 72, non-orientable |
| Schläfli formula c | {6,8} |
| V / F / E c | 42 / 56 / 168 |
| notes |
|
| vertex, face multiplicity c | 1, 2 |
| 48, each with 7 edges 42, each with 8 edges 56, each with 6 edges 24, each with 14 edges 84, each with 4 edges 42, each with 8 edges 42, each with 8 edges | |
| rotational symmetry group | 672 elements. |
| full symmetry group | 672 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, s8, rs‑1rs‑2r‑1srs‑1rs‑2t > |
| C&D number c | N72.5 |
| 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 72.
| Orientable | |
| Non-orientable |