
genus ^{c}  4, nonorientable 
Schläfli formula ^{c}  {6,4} 
V / F / E ^{c}  6 / 4 / 12 
notes  
vertex, face multiplicity ^{c}  2, 2 
4 Hamiltonian, each with 6 edges 6 double, each with 4 edges  
antipodal sets  3 of ( 2v ), 4 of ( f, p ), 6 of ( 2e ), 3 of ( 2h ) 
rotational symmetry group  48 elements. 
full symmetry group  48 elements. 
its presentation ^{c}  < r, s, t  t^{2}, s^{4}, (sr)^{2}, (st)^{2}, (rt)^{2}, sr^{‑1}s^{2}rt, r^{6} > 
C&D number ^{c}  N4.1′ 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its dual is
It is selfPetrie dual.
It can be 2fold covered to give
It can be 5split to give
It can be 7split to give
It can be 11split to give
It can be built by 2splitting
It can be rectified to give
List of regular maps in nonorientable genus 4.
Its skeleton is 2 . 6cycle.
Orientable  
Nonorientable 
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