  A central conjecture in inverse Galois theory, proposed by D\`{e}bes and
Deschamps, asserts that every finite split embedding problem over an arbitrary
field can be regularly solved. We give an unconditional proof of a consequence
of this conjecture, namely that such embedding problems can be regularly solved
if one waives the requirement that the solution fields are normal. This extends
previous results of M. Fried, Takahashi, Deschamps, and the last two authors
concerning the realization of finite groups as automorphism groups of field
extensions.
