

genus ^{c}  6, orientable 
Schläfli formula ^{c}  {4,9} 
V / F / E ^{c}  8 / 18 / 36 
notes  
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  t^{2}, r^{4}, (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. 
It is a 2fold cover of
It is the result of rectifying
List of regular maps in orientable genus 6.
Its skeleton is 3 . cubic graph.
Orientable  
Nonorientable 
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