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| genus c | 6, orientable |
| Schläfli formula c | {4,9} |
| V / F / E c | 8 / 18 / 36 |
| notes | 
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| vertex, face multiplicity c | 3, 1 |
| 4, each with 18 edges 18, each with 4 edges 4, each with 18 edges 36, each with 2 edges 12 double, each with 6 edges 18, each with 4 edges 4, each with 18 edges | |
| rotational symmetry group | 72 elements. |
| full symmetry group | 144 elements. |
| its presentation c | < r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑2)2, s‑9 > |
| C&D number c | R6.3 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It is a 2-fold cover of
It is the result of rectifying
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 . cubic graph.
| Orientable | |
| Non-orientable |
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