Show by Local Class Field Theory $\mathbf Q_p$ has unique Galois ext. iso. to $(Z/2Z)^2$ if $p > 2$, and unique Galois ext. iso. to $(Z/2Z)^3$ o/w.

Question

Show that $\mathbf{Q}_p$ has a unique Galois extension isomorphic to $(Z/2Z)^2$ if $p > 2$, and that $\mathbf{Q}_2$ has a unique Galois extension isomorphic to $(Z/2Z)^3$

I have already completed this exercise using regular methods (hensel to classify all quadratic extensions). I have been instructed to use local class field theory but I am unsure on how to make use of things such as Artin reciprocity as I'm not sure how the norm function behaves.