  Deviations from statistical isotropy can be modeled in various ways, for
instance, anisotropic cosmological models (Bianchi models), compact topologies
and presence of primordial magnetic field. Signature of anisotropy manifests
itself in CMB correlation patterns. Here we explore the symmetries of the
correlation function and its implications on the observable measures
constructed within the Bipolar harmonic formalism for these variety of models.
Different quantifiers within the Bipolar harmonic representation are used to
distinguish between plausible models of breakdown of statistical isotropy and
as a spectroscopic tool for discriminating between distinct cosmic topology.
