Thanks for Paul R. Brown's correction. As I formed the question is
I am interested in the diameter of the Cayley Graph for the Cube with
the 6 generators that move each face. More specifically, in both cases:
with and without the inverses "allowed" to be in the path.
I would also be interested in the diameter when the generators are the
above mentioned 6, and their pair-wise conjugates.
Thank you very much for the correction, and again, guesses are welcome.
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