How to determine the maximal, minimal, greatest, and smallest elements for the subset relation $\subset$?

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If I have a set $S=\{\{a, b\}:a, b\in X\}$ and consider the subset relation $\subset$, how can I determine the maximal, minimal, greatest, and smallest elements? Wouldn't all the possible elements inside $S$ be maximal/minimal since they are the same size?