  The spectrum of the $D=4$ supersymmetric Yang-Mills quantum mechanics with
$SU(3)$ gauge group symmetry is computed in different channels with definite
total angular momentum and the total number of fermions. In sectors with small
number of fermions the spectrum is shown to be purely discrete. Continuous
spectrum appears in channels with more fermions. Supersymmetry generators are
used to identify supermultiplets and determine the level of restoration of
supersymmetry for a finite cutoff.
