The LaTeX command for subset (⊂) is \subset.
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Write \subset inside math mode, that is between $…$ for inline math or in a \[ … \] or equation block for display math. It is part of core LaTeX math, so no extra package is required.
As a relation, \subset gets a thick space on each side, and a long inline formula may break after it. With unicode-math under XeLaTeX or LuaLaTeX, typing ⊂ in a formula gives the same symbol. Not to be confused with \subseteq (⊆).
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\nparallel\prec\succ\preceq\succeq\subseteq\supseteq\supset\subsetneq\sqsubseteq\sqsupseteq\in\notin\niRelation symbols in LaTeX: the full table or search all 350+ LaTeX symbols.
Use \subset in math mode; it needs no extra package. For example, $a \subset b$.
None: \subset is built into LaTeX, so no extra package is required.