  A finite group G is admissible over a field M if there is a division algebra
whose center is M with a maximal subfield G-Galois over M. We consider nine
possible notions of being admissible over M with respect to a subfield K of M,
where the division algebra, the maximal subfield or the Galois group are
asserted to be defined over K. We completely determine the logical implications
between all variants.
