Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
16T1322	$C_2^6:S_4$	$1536$	$1$	✓	$-1$	$39$	$S_4$, $C_2^3:S_4$ x 3	16T1322 x 3, 32T96852

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Results are complete for degrees $\leq 23$.