  $CPT$ groups of higher spin fields are defined in the framework of
automorphism groups of Clifford algebras associated with the complex
representations of the proper orthochronous Lorentz group. Higher spin fields
are understood as the fields on the Poincar\'{e} group which describe
orientable (extended) objects. A general method for construction of $CPT$
groups of the fields of any spin is given. $CPT$ groups of the fields of
spin-1/2, spin-1 and spin-3/2 are considered in detail. $CPT$ groups of the
fields of tensor type are discussed. It is shown that tensor fields correspond
to particles of the same spin with different masses.
