  SnTe materials are know to be a platform for realization of various strong
and symmetry protected topological phases in one, two and three spatial
dimensions. We study symmetry-protected topological states in $[110]$ SnTe
nanowires in the presence of various combinations of Zeeman field, $s-$wave
superconductivity, inversion-symmetry-breaking field and the thickness of the
wire. In the normal state we find a Weyl semimetal phase protected by a twofold
screw axis symmetry and a topological insulating phase characterized by a
$\mathbb{Z}$ invariant protected by a mirror symmetry. In the presence of
superconductivity, we find inversion-symmetry-protected gapless phase which
becomes fully gapped and topologically non-trivial by introducing an
inversion-symmetry-breaking field. Consequently, we find topologically
protected localized Majorana zero modes appear at the ends of the wire. We find
that this Majorana phase is much easier to achieve in a $[110]$ SnTe nanowire
than in a $[001]$ one.
