# D8 is not potentially fully invariant in D16

This article gives the statement, and possibly proof, of a particular subgroup or type of subgroup (namely, Dihedral group:D8 (?))notsatisfying a particular subgroup property (namely, Potentially fully invariant subgroup (?)) in a particular group or type of group (namely, Dihedral group:D16 (?)).

## Statement

Suppose is the dihedral group of order 16:

and is a subgroup isomorphic to the dihedral group of order 8:

Then, is not a potentially fully invariant subgroup of .