  In their book Katz and Mazur discuss the moduli problem of the
subgroup-schemes of elliptic curves. We give the classification of the finite
subgroups of the Tate curve before. Moreover, Katz and Mazur define the
universal finite subgroup of an elliptic curve. In this paper we give an
explicit construction of the universal finite subgroup of the Tate curve via
isogenies and the stringy power operation of Tate K-theory.
