Under my proposal, the orbit of ((1,2),(1,2)) would be the orbit of a pair, 
i.e.  {((1,2),(1,2)), (1,1), (2,2)}. If you want the orbit of pairs of 
pairs, you can get it as orbit(..., action="OnTuplesTuples").

There is of course a limit of how nested the action is. If you really need 
orbits of tuples of sets of tuples of sets of tuples then you'll have to 
relabel the permutation group so that its domain doesn't have tuples or 
sets.

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