Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
24T365	$D_4:D_{12}$	$192$	$-1$	✓	$-1$	$30$	$C_2$, $S_3$, $D_{4}$, $D_{6}$, $(C_4^2 : C_2):C_2$, $S_3\times D_4$	24T365 x 3

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Results are complete for degrees $\leq 23$.