  This text is a response to the following question: What are the methods to
build supercuspidal complex representations of p-adic reductive groups and are
there ties between them ? We will give an overview of the Bushnell-Kutzko and
Yu constructions. Then, given a simple maximum tame stratum, a simple character
$\theta$ associated to this stratum and a representation of the level zero of a
subset of G, we associate a Yu data generic and therefore a representation
constructed by Yu, this representation corresponds to a simple type given by a
$\beta$ - extension of $\theta$.
