
genus ^{c}  1, orientable 
Schläfli formula ^{c}  {4,4} 
V / F / E ^{c}  18 / 18 / 36 
notes  
vertex, face multiplicity ^{c}  1, 1 
12, each with 6 edges 12, each with 6 edges 12, each with 6 edges  
rotational symmetry group  ((C3×C3)⋊C4)×C2, with 72 elements 
full symmetry group  ((C3×C3)⋊C4)×C2, with 144 elements 
C&D number ^{c}  R1.s33 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfdual.
Its Petrie dual is
It can be 2fold covered to give
It is a 2fold cover of
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 can be rectified to give
It is the result of rectifying
List of regular maps in orientable genus 1.
Orientable  
Nonorientable 
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