| genus c | 20, orientable |
| Schläfli formula c | {44,22} |
| V / F / E c | 4 / 2 / 44 |
| notes | |
| vertex, face multiplicity c | 11, 44 |
| 22, each with 4 edges 4, each with 22 edges 44, each with 2 edges 2, each with 44 edges 22, each with 4 edges 4, each with 22 edges 44, each with 2 edges 2, each with 44 edges 22, each with 4 edges 4, each with 22 edges 44, each with 2 edges 2, each with 44 edges 22, each with 4 edges 4, each with 22 edges 44, each with 2 edges 2, each with 44 edges 22, each with 4 edges 4, each with 22 edges 44, each with 2 edges | |
| rotational symmetry group | 88 elements. |
| full symmetry group | 176 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, rsr‑1sr2, s2r‑1sr‑1s12r‑1sr‑1s2 > |
| C&D number c | R20.10′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be 3-split to give
It can be 5-split to give
It is its own 3-hole derivative.
It is its own 7-hole derivative.
It is its own 9-hole derivative.
It is its own 5-hole derivative.
List of regular maps in orientable genus 20.
| Orientable | |
| Non-orientable |