Groups of graphs 5n

Possible point group of elements of the class 5n

We call 5n the class of 3-valent plane graphs whose faces are 5-gons (necesarily twelve 5-gons) or 6-gons. Other name is Fullerens. The list of possible symmetry groups was discovered by P.Fowler The classification of possible point groups was obtained in

P.W. Fowler and D.E. Manolopoulos, "An Atlas of Fullerenes", Clarendon Press, Oxford (1995)

P.W. Fowler, D.E. Manolopoulos, D.B. Redmond and R.P. Ryan, "Possible symmetries of fullerenes structures", Chem. Phys. Letters 202 (1993) 371--377

the point group C1
the point group Cs
the point group C2
the point group Ci
the point group C3
the point group D2
the point group S4
the point group C2v
the point group C2h
the point group D3
the point group S6
the point group C3v
the point group C3h
the point group D2h
the point group D2d
the point group D5
the point group D6
the point group D3h
the point group D3d
the point group T
the point group D5h
the point group D5d
the point group D6h
the point group D6d
the point group Td
the point group Th
the point group I
the point group Ih