The computation of sextic fields with a quadratic subfield

We describe four tables (one for each signature) of sixth-degree fields K containing a quadratic subfield k . The tables contain various information, including, for each possible discriminant dK of K , a cubic polynomial which defines K/k , the discriminant of the quartic field k such that k/k is the quadratic extension corresponding to K/k , and the Galois group of the Galois closure N/Q of K/Q .