Let K/F be a Galois extension of fields. If Gal(K/F) is isomorphic to S3, the number of fields L such that Fsubseteq Lsubseteq K is:

Q55Section II (Mathematics)55 of 190

Counting intermediate fields via the subgroup lattice of $S_3$

Let K/F be a Galois extension of fields. If $\mathrm{Gal}(K/F)$ is isomorphic to $S_3$ , the number of fields L such that $F\subseteq L\subseteq K$ is:

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