Field is (awaiting review)

Using this input, you can filter for fields $K$ with Galois group $G = \Gal(K/\Q)$ with

• $G$ cyclic,
• $G$ abelian,
• $G$ dihedral and $K/\Q$ non-Galois,
• $G$ dihedral and $K/\Q$ Galois,
• $K/\Q$ Galois,
• $G$ solvable,
• $G$ non-solvable.