  We complete a classification of topological phases and their topological
defects in crystalline insulators and superconductors. We consider topological
phases and defects described by non-interacting Bloch and Bogoliubov de Gennes
Hamiltonians that support additional order-two spatial symmetry, besides any of
ten classes of symmetries defined by time-reversal symmetry and particle-hole
symmetry. The additional order-two spatial symmetry we consider is general and
it includes $Z_2$ global symmetry, mirror reflection, two-fold rotation,
inversion, and their magnetic point group symmetries. We find that the
topological periodic table shows a novel periodicity in the number of flipped
coordinates under the order-two spatial symmetry, in addition to the
Bott-periodicity in the space dimensions. Various symmetry protected
topological phases and gapless modes will be identified and discussed in a
unified framework. We also present topological classification of symmetry
protected Fermi points. The bulk classification and the surface Fermi point
classification provide a novel realization of the bulk-boundary correspondence
in terms of the K-theory.
