Let ppp be a prime, let GeZ/pn⋊Z/mG e \mathbb{Z}/p^n\rtimes\mathbb{Z}/mGeZ/pn⋊Z/m be non-abelian with p∤mp\nmid mp∤m, and let k[[z]]/k[[t]]k[[z]]/k[[t]]k[[z]]/k[[t]] be a local GGG-extension whose Z/pn\mathbb{Z}/p^nZ/pn-subextension…