Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
24T714	$D_4^2:S_3$	$384$	$-1$	✓	$-1$	$45$	$C_2$, $S_3$, $D_{4}$, $S_3$, $C_2 \wr C_2\wr C_2$, $(C_6\times C_2):C_2$	24T714 x 7

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Results are complete for degrees $\leq 23$.