  Let $k$ be an algebraically closed field of characteristic $2$. In this paper
we describe the $(\mathbb{Z}/2\mathbb{Z})^3$-actions on $k[[z]]$ for which
there is a discrete valuation ring $R$, a finite extension of the ring of Witt
vectors $W(k)$, such that they can be lifted as a group of $R$-automorphisms of
$R[[Z]]$. In fact the necessary and sufficient condition for such an action to
lift involves only the conductor type of the corresponding extension.
