

genus ^{c}  4, orientable 
Schläfli formula ^{c}  {4,10} 
V / F / E ^{c}  4 / 10 / 20 
notes  
vertex, face multiplicity ^{c}  5, 2 
2, each with 20 edges 20, each with 2 edges 4, each with 10 edges 10, each with 4 edges 2, each with 20 edges  
rotational symmetry group  40 elements. 
full symmetry group  80 elements. 
its presentation ^{c}  < r, s, t  t^{2}, r^{4}, (rs)^{2}, (rs^{‑1})^{2}, (rt)^{2}, (st)^{2}, s^{10} > 
C&D number ^{c}  R4.4 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It can be 3split to give
It can be 5split to give
It can be 7split to give
It can be 9split to give
It can be 11split to give
It is a member of series m.
List of regular maps in orientable genus 4.
Its skeleton is 5 . 4cycle.
Orientable  
Nonorientable 
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