Finite irreducible conformal modules over the Lie conformal superalgebra [formula omitted].

In the present paper, we introduce a class of infinite Lie conformal superalgebras S (p) , which are closely related to Lie conformal algebras of extended Block type defined in [6]. Then all finite non-trivial irreducible conformal modules over S (p) for p ∈ C ⁎ are completely classified. As an application, we also present the classifications of finite non-trivial irreducible conformal modules over finite quotient algebras s (n) for n ≥ 1 and sh which is isomorphic to a subalgebra of Lie conformal algebra of N = 2 superconformal algebra. Moreover, as a generalized version of S (p) , the infinite Lie conformal superalgebras GS (p) are constructed, which have a subalgebra isomorphic to the finite Lie conformal algebra of N = 2 superconformal algebra. [ABSTRACT FROM AUTHOR]