18, each with 4 edges
6, each with 12 edges
12, each with 6 edges
24, each with 3 edges
36, each with 2 edges
12, each with 6 edges
12, each with 6 edges
24, each with 3 edges
18, each with 4 edges
| genus c | 20, non-orientable |
| Schläfli formula c | {6,12} |
| V / F / E c | 6 / 12 / 36 |
| notes |
|
| vertex, face multiplicity c | 3, 1 |
| 24, each with 3 edges 18, each with 4 edges 6, each with 12 edges 12, each with 6 edges 24, each with 3 edges 36, each with 2 edges 12, each with 6 edges 12, each with 6 edges 24, each with 3 edges 18, each with 4 edges | |
| rotational symmetry group | 144 elements. |
| full symmetry group | 144 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r6, rs‑1r‑2s‑2t, (rs‑1)4 > |
| C&D number c | N20.3 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It is its own 5-hole derivative.
List of regular maps in non-orientable genus 20.
| Orientable | |
| Non-orientable |