In this paper we report the first observation in the Southern hemisphere of
an energy dependence in the Galactic cosmic ray anisotropy up to a few hundred
TeV. This measurement was performed using cosmic ray induced muons recorded by
the partially deployed IceCube observatory between May 2009 and May 2010. The
data include a total of 33$\times 10^{9}$ muon events with a median angular
resolution of $\sim3^{\circ}$ degrees. A sky map of the relative intensity in
arrival direction over the Southern celestial sky is presented for cosmic ray
median energies of 20 and 400 TeV. The same large-scale anisotropy observed at
median energies around 20 TeV is not present at 400 TeV. Instead, the high
energy skymap shows a different anisotropy structure including a deficit with a
post-trial significance of -6.3$\sigma$. This anisotropy reveals a new feature
of the Galactic cosmic ray distribution, which must be incorporated into
theories of the origin and propagation of cosmic rays.