  We show that all classes that are neither semisimple nor unipotent in finite
simple Chevalley or Steinberg groups different from $PSL_n(q)$ collapse (i.e.
are never the support of a finite-dimensional Nichols algebra). As a
consequence, we prove that the only finite-dimensional pointed Hopf algebra
whose group of group-like elements is $PSp_{2n}(q)$, $P\Omega^+_{4n}(q)$,
$P\Omega^-_{4n}(q)$, $^3D_4(q)$, $E_7(q)$, $E_8(q)$, $F_4(q)$, or $G_2(q)$ with
q even is the group algebra.
