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| genus c | 6, orientable |
| Schläfli formula c | {9,9} |
| V / F / E c | 4 / 4 / 18 |
| notes | 
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| vertex, face multiplicity c | 3, 3 |
| 9 Hamiltonian, each with 4 edges 4, each with 9 edges 9 Hamiltonian, each with 4 edges 6 double, each with 6 edges 18, each with 2 edges 4, each with 9 edges 9 Hamiltonian, each with 4 edges | |
| rotational symmetry group | 36 elements. |
| full symmetry group | 72 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, sr3s2, r‑9 > |
| C&D number c | R6.9 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be 2-split to give
It can be rectified to give
It is its own 2-hole derivative.
It is its own 4-hole derivative.
List of regular maps in orientable genus 6.
Its skeleton is 3 . K4.
| Orientable | |
| Non-orientable |
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