  For a domestic finite group scheme, we give a direct description of the
Euclidean components in its Auslander-Reiten quiver via the McKay-quiver of a
finite linearly reductive subgroup scheme of $SL(2)$. Moreover, for a normal
subgroup scheme $\mathcal{N}$ of a finite group scheme $\mathcal{G}$, we show
that there is a connection between the ramification indices of the restriction
morphism
$\mathbb{P}(\mathcal{V}_{\mathcal{N}})\rightarrow\mathbb{P}(\mathcal{V}_{\mathcal{G}})$
between their projectivized cohomological support varieties and the ranks of
the tubes in their Auslander-Reiten quivers.
