  Given a quaternionic form G of a p-adic classical group (p odd) we classify
all cuspidal irreducible representations of G with coefficients in an
algebraically closed field of characteristic different from p. We prove two
theorems: At first: Every irreducible cuspidal representation of G is induced
from a cuspidal type, i.e. from a certain irreducible representation of a
compact open subgroup of G, constructed from a beta-extension and a cuspidal
representation of a finite group. Secondly we show that two intertwining
cuspidal types of G are up to equivalence conjugate under some element of G.
