Let c:= 2^{aleph_0} . We give a family of pairwise
incomparable clones on {N} with 2^c members,
all with the same unary fragment, namely the set of all unary
operations.
We also give, for each n, a family of 2^c
clones all with the same n-ary fragment, and all containing
the set of all unary operations.
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