  We clarify the undecided case $c_2 = 3$ of a theorem of Ein, Hartshorne and
Vogelaar [Math. Ann. 259 (1982), 541--569] about the restriction of a stable
rank 3 vector bundle with $c_1 = 0$ on the projective 3-space to a general
plane. It turns out that there are more exceptions to the stable restriction
property than those conjectured by the three authors. One of them is a
Schwarzenberger bundle (twisted by $-1$); it has $c_3 = 6$. There are also some
exceptions with $c_3 = 2$ (plus, of course, their duals). We also prove, for
completeness, the basic properties of the corresponding moduli spaces; they are
all nonsingular and connected, of dimension 28.
