We explore the 32 crystallographic point groups and identify topological
phases of matter with robust surface modes. For n =3,4 and 6 of the C_{nv}
groups, we find the first-known 3D topological insulators without spin-orbit
coupling, and with surface modes that are protected only by point groups, i.e.,
not needing time-reversal symmetry. To describe these C_{nv} systems, we
introduce the notions of (a) a halved mirror chirality: an integer invariant
which characterizes half-mirror-planes in the 3D Brillouin zone, and (b) a bent
Chern number: the traditional TKNN invariant generalized to bent 2D manifolds.
We find that a Weyl semimetallic phase intermediates two gapped phases with
distinct halved chiralities
