Sylow implies intermediately isomorph-conjugate

Statement
A Sylow subgroup of a finite group is intermediately isomorph-conjugate: it is isomorph-conjugate in every intermediate subgroup.

Facts used

 * 1) Sylow satisfies intermediate subgroup condition: A Sylow subgroup of a group is Sylow in every intermediate subgroup.
 * 2) Sylow implies isomorph-conjugate

Proof
The proof follows directly by combining facts (1) and (2).