Original -> Grain oil

Probability Level 5

γ\gamma is a permutation on eight elements, though you are not told which permutation it is. If γ\gamma is applied to an 8-element set, what is the minimum number of additional times we must apply γ\gamma to the resulting set in order to guarantee the set is back in its original configuration when we stop?

Details and assumptions

All of the elements are distinct.

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