  We study the non relativistic limit of the charge conjugation operation $\cal
C$ in the context of the Dirac equation coupled to an electromagnetic field.
The limit is well defined and, as in the relativistic case, $\cal C$, $\cal P$
(parity) and $\cal T$ (time reversal) are the generators of a matrix group
isomorphic to a semidirect sum of the dihedral group of eight elements and
$\Z_2$. The existence of the limit is supported by an argument based in quantum
field theory. Also, and most important, the limit exists in the context of
galilean relativity. Finally, if one complexifies the Lorentz group and
therefore the galilean spacetime $x_\mu$, then the explicit form of the matrix
for $\cal C$ allows to interpret it, in this context, as the complex
conjugation of the spatial coordinates: $\vec{x} \to \vec{x}^*$. This result is
natural in a fiber bundle description.
