In a docstring the permutation group for the tetrahedron is given. I would 
like to inlclude the same for the cube and dodecahedron (and hence their 
doubles, octahedron and icosahedron). I've googled a bit without finding 
the explicit form that I need. This is outside my field and perhaps someone 
else is a little more savvy at coming up with this? I need something like 
this which is defined for the tetrahedron:

[Permutation([[0,1,2], [3]]),\
Permutation([[0,1,3], [2]]),\
Permutation([[0,2,3], [1]]),\
Permutation([[1,2,3], [0]]),\
Permutation([[0,1], [2,3]]),\
Permutation([[0,2], [1,3]]),\
Permutation([[0,3], [1,2]]),\
Permutation([0,1,2,3])]

Any help would be appreciated.

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