  We study liftable vector fields of smooth map-germs. We show how to obtain
the module of liftable vector fields of any map-germ of finite singularity type
from the module of liftable vector fields of a stable unfolding of it. As an
application, we obtain the liftable vector fields for the family $H_k$ in
Mond's list. We then show the relation between the liftable vector fields of a
stable germ and its augmentations.
