  We investigate possibility of central extension for non-relativistic
conformal algebras in 1+1 dimension. Three different forms of charges can be
suggested. A trivial charge for temporal part of the algebra exists for all
elements of l-Galilei algebra class. In attempt to find a central extension as
of CGA for other elements of the l-Galilei class, possibility for such
extension was excluded. For integer and half integer elements of the class we
can have an infinite extension of the generalized mass charge for the
Virasoro-like extended algebra. For finite algebras a regular charge inspired
by Schr\"odinger central extension is possible.
