| genus c | 19, orientable |
| Schläfli formula c | {3,12} |
| V / F / E c | 36 / 144 / 216 |
| notes |
|
| vertex, face multiplicity c | 2, 1 |
| 18, each with 24 edges | |
| rotational symmetry group | 432 elements. |
| full symmetry group | 864 elements. |
| its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, (rs‑5)2, sr‑1s2r‑1s2rs‑2r‑1s2r‑1s‑2rs2r‑1s > |
| C&D number c | R19.1 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
List of regular maps in orientable genus 19.
| Orientable | |
| Non-orientable |