Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
24T6228	$(C_2\times C_4^3).S_4$	$3072$	$-1$	✓	$-1$	$80$	$S_3$, $S_4$, $C_2^3:S_4$	24T6228 x 7

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Results are complete for degrees $\leq 23$.