  Over fields of arbitrary characteristic we classify all braid-indecomposable
tuples of at least two absolutely simple Yetter-Drinfeld modules over
non-abelian groups such that the group is generated by the support of the tuple
and the Nichols algebra of the tuple is finite-dimensional. Such tuples are
classified in terms of analogs of Dynkin diagrams which encode much information
about the Yetter-Drinfeld modules. We also compute the dimensions of these
finite-dimensional Nichols algebras. Our proof uses the Weyl groupoid of a
tuple of simple Yetter-Drinfeld modules.
