  We study dualities of the general Galileon theory in d dimensions in terms of
coordinate transformations on the coset space corresponding to the
spontaneously broken Galileon group. The most general duality transformation is
found to be determined uniquely up to four free parameters and under
compositions these transformations form a group which can be identified with
GL(2,R). This group represents a unified framework for all the up to now known
Galileon dualities. We discuss a representation of this group on the Galileon
theory space and using concrete examples we illustrate its applicability both
on the classical and quantum level.
