Number of supremum(s) with n elements of set?

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I´m trying to learn how to find the number of supremum(s) of a set with defined number of elements in it.

Assume A = {1,2,3,4,5,6} and let R be relation defined on power set P(A), so 2 subsets X,Y of A are in relation if X is subset of Y.

Now M = {{1},{2},{2,5}}. How can I find, how many supremum(s) does M have, with exactly 4 elements in it?

How can I create a Hasse diagram from this representation to help solving this (if necessary)?