The purpose of this paper is to determine all maximal graded subalgebras ofthe four infinite series of finite-dimensional graded Lie superalgebras of oddCartan type over an algebraically closed field of characteristic $p>3$. Allmaximal graded subalgebras consist of three types (\MyRoman{1}), (\MyRoman{2})and (\MyRoman{3}). Maximal graded subalgebras of type (\MyRoman{3}) fall intoreducible maximal graded subalgebras and irreducible maximal gradedsubalgebras. In this paper we classify maximal graded subalgebras of types(\MyRoman{1}), (\MyRoman{2}) and reducible maximal g raded subalgebras.Theclassification of irreducible maximal graded subalgebras is reduced to that ofthe irreducible maximal subalgebras of the classical Lie superalgebra$\mathfrak{p}(n)$.
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