

genus ^{c}  6, orientable 
Schläfli formula ^{c}  {24,4} 
V / F / E ^{c}  12 / 2 / 24 
notes  
vertex, face multiplicity ^{c}  2, 24 
2, each with 24 edges 24, each with 2 edges  
rotational symmetry group  48 elements. 
full symmetry group  96 elements. 
its presentation ^{c}  < r, s, t  t^{2}, s^{4}, (sr)^{2}, (sr^{‑1})^{2}, (st)^{2}, (rt)^{2}, r^{6}s^{2}r^{6} > 
C&D number ^{c}  R6.5′ 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfPetrie dual.
It can be 5split to give
It can be 7split to give
It can be 11split to give
It can be built by 3splitting
It is the result of rectifying
It is a member of series j.
List of regular maps in orientable genus 6.
× 
Its skeleton is 2 . 12cycle.
Orientable  
Nonorientable 
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