

genus ^{c}  5, orientable 
Schläfli formula ^{c}  {12,12} 
V / F / E ^{c}  2 / 2 / 12 
notes  
vertex, face multiplicity ^{c}  12, 12 
12, each with 2 edges 4, each with 6 edges 12, each with 2 edges 6, each with 4 edges 12, each with 2 edges  
rotational symmetry group  C12×C2, with 24 elements 
full symmetry group  D24×C2, with 48 elements 
its presentation ^{c}  < r, s, t  t^{2}, sr^{2}s, (r, s), (rt)^{2}, (st)^{2}, r^{2}tsr^{‑7}str > 
C&D number ^{c}  R5.15 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfdual.
Its Petrie dual is
It can be rectified to give
It is a member of series k.
List of regular maps in orientable genus 5.
Its skeleton is 12 . K_{2}.
Orientable  
Nonorientable 
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