  We construct the finite dimensional simple integral modules for the
(degenerate) affine Hecke-Clifford algebra (AHCA). Our construction includes an
analogue of Zelevinsky's segment representations, a complete combinatorial
description of the simple calibrated modules, and a classification of the
simple integral modules. Additionally, we construct an analogue of the
Arakawa-Suzuki functor for the Lie superalgebra of type Q.
