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It is proved that there is a formula 
$\pi \left( {h,x} \right)$ in the first-order language of group theory such that each component and each non-abelian minimal normal subgroup of a finite group G is definable by 
$\pi \left( {h,x} \right)$ for a suitable element h of G; in other words, each such subgroup has the form 
$\left\{ {x|x\pi \left( {h,x} \right)} \right\}$ for some h. A number of consequences for infinite models of the theory of finite groups are described.
