
genus ^{c}  4, orientable 
Schläfli formula ^{c}  {4,5} 
V / F / E ^{c}  24 / 30 / 60 
notes  
vertex, face multiplicity ^{c}  1, 1 
20, each with 6 edges 20, each with 6 edges 30, each with 4 edges  
antipodal sets  12 of ( 2v ), 15 of ( 2f ), 30 of ( 2e ) 
rotational symmetry group  S5, with 120 elements 
full symmetry group  240 elements. 
its presentation ^{c}  < r, s, t  t^{2}, r^{4}, (rs)^{2}, (rt)^{2}, (st)^{2}, s^{‑5}, (rs^{‑2}rs^{‑1})^{2} > 
C&D number ^{c}  R4.2 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It is a 2fold cover of
List of regular maps in orientable genus 4.
Its skeleton is 2 . K_{6} × K_{2}.
Orientable  
Nonorientable 
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