  We investigate the reproducing properties of Gabor systems within the context
of expansible groups. These properties are established in terms of density
conditions. The concept of density that we employ mirrors the well-known
Beurling density defined in Euclidean space, which is made possible due to the
expansive structure. Along the way, for groups with an open and compact
subgroup, we demonstrate that modulation spaces are continuously embedded in
Wiener spaces. Utilizing this result, we derive the Bessel condition of Gabor
systems. Additionally, we construct Gabor orthonormal bases with arbitrarily
small or large densities, enabling us to conclude that a Comparison Theorem,
such as the one proven to be valid in the Euclidean case, cannot hold in this
context. Finally, we establish that Gabor frames possess the Homogeneous
Approximation Property.
