  We show that there is a basis of the set of K\"{a}hler differentials of an
irreducible germ of holomorphic plane curve whose non-trivial elements
correspond to dicritical foliations. Indeed, we discuss several concepts of
generation for the semimodule of values of K\"{a}hler differentials of the
curve and provide basis of K\"{a}hler differentials, for every of these
concepts, whose geometric properties are described. Moreover, we give an
algorithmic construction of the bases.
