  For the Klein-Four Group $G$ and a perfect field $k$ of characteristic two we
determine all indecomposable symplectic $kG$-modules, that is, $kG$-modules
with a symplectic, $G$-invariant form which do not decompose into smaller such
modules, and classify them up to isometry. Also we determine all quadratic
forms that have one of the above symplectic forms as their associated bilinear
form and describe their isometry classes.
