  We study the moduli spaces and compute the fundamental groups of plane
sextics of torus type with the set of inner singularities $2\bold{A}_8$ or
$\bold{A}_{17}$. We also compute the fundamental groups of a number of other
sextics, both of and not of torus type. The groups found are simplest possible,
i.e., $\Bbb{Z}_2*\Bbb{Z}_3$ and $\Bbb{Z}_6$, respectively.
