Some interesting $p$-adic fields

Label	Description
2.2.0.1	Image of p-adic log
2.4.6.7	Unique local field with Galois group $A_4$
2.8.0.1	$p$-adic field which does not globalize
2.8.16.6	Compositum of quadratic extensions of $\mathbb{Q}_2$
2.8.16.20	Unique $C_2^2:S_4$ octic field
3.8.6.1	First tamely ramified extension of $\Q_p$ with Galois group $Q_8$