  Definitions of non-relativistic conformal transformations are considered both
in the Newton-Cartan and in the Kaluza-Klein-type Eisenhart/Bargmann
geometrical frameworks. The symmetry groups that come into play are exemplified
by the cosmological, and also the Newton-Hooke solutions of Newton's
gravitational field equations. It is shown, in particular, that the maximal
symmetry group of the standard cosmological model is isomorphic to the
13-dimensional conformal-Newton-Cartan group whose conformal-Bargmann extension
is explicitly worked out. Attention is drawn to the appearance of independent
space and time dilations, in contrast with the Schr{\"o}dinger group or the
Conformal Galilei Algebra.
