  One-dimensional nonrelativistic systems are studied when time-independent
potential interactions are involved. Their supersymmetries are determined and
their closed subsets generating kinematical invariance Lie superalgebras are
pointed out. The study of even supersymmetries is particularly enlightened
through the already known symmetries of the corresponding Schr\"odinger
equation. Three tables collect the even, odd, and total supersymmetries as well
as the invariance (super)algebras.
