Fullerenes -- Generators of the symmetry groups of fullerenes

Generators of the symmetry groups of fullerenes

Generators of the symmetry groups of fullerenes

Now we can compute the generators of the symmetry groups of some
fullerenes.

Please determine which group is acting?
Where does this group act on?
Which fullerene C_{v} to investigate. (Please enter
only even v such that 24£v£60, or v=20,70,80.)
For v=40 or v=44 you further have to specify whether to use the
D or T symmetry.