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

Cuspidal irreducible complex or l-modular representations of quaternionic forms of p-adic classical groups for odd p