

genus ^{c}  3, orientable 
Schläfli formula ^{c}  {8,8} 
V / F / E ^{c}  2 / 2 / 8 
notes  
vertex, face multiplicity ^{c}  8, 8 
4, each with 4 edges 4, each with 4 edges 8, each with 2 edges 2, each with 8 edges 4, each with 4 edges 8, each with 2 edges 8, each with 2 edges  
antipodal sets  1 of ( 2v ), 1 of ( 2f ), 4 of ( 2e ) 
rotational symmetry group  modular(16), with 16 elements 
full symmetry group  32 elements. 
its presentation ^{c}  < r, s, t  t^{2}, s^{‑1}r^{2}s^{‑1}, (rs)^{2}, (r^{‑1}t)^{2}, (s^{‑1}t)^{2} > 
C&D number ^{c}  R3.10 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfdual.
Its Petrie dual is
It is a 2fold cover of
It can be rectified to give
It is its own 3hole derivative.
It can be derived by stellation (with path <2,1;1,2>) from
It is a member of series kt.
List of regular maps in orientable genus 3.
× 
Its skeleton is 8 . K_{2}.
Orientable  
Nonorientable 
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