Galois group search results

Results (displaying both matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
3T2	$S_3$	$6$	$-1$	✓	$-1$	$3$		6T2
6T2	$S_3$	$6$	$-1$	✓	$-1$	$3$	$C_2$, $S_3$	3T2

 

Results are complete for degrees $\leq 23$.