Title: On the characters of a certain series of N=4 superconformal modules II

Abstract: In this paper we compute the characters of certain non-irreducible N=4 superconformal modules which are different from the ones treated in our previous paper, and study their relation with characters of N=2 superconformal modules. Also, for these non-irreducible N=4 modules, we deduce the expression of characters in terms of string functions.