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| genus c | 4, orientable |
| Schläfli formula c | {18,9} |
| V / F / E c | 2 / 1 / 9 |
| notes | 
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| vertex, face multiplicity c | 9, 18 |
| 9, each with 2 edges 1, with 18 edges 9, each with 2 edges 3, each with 6 edges 9, each with 2 edges 1, with 18 edges 9, each with 2 edges | |
| rotational symmetry group | C18, with 18 elements |
| full symmetry group | D18×C2, with 36 elements |
| its presentation c | < r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, sr‑1trs‑5ts > |
| C&D number c | R4.10′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It is its own 2-hole derivative.
It is its own 4-hole derivative.
It is a member of series α' .
List of regular maps in orientable genus 4.
Its skeleton is 9 . K2.
| Orientable | |
| Non-orientable |
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