Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
42T20	$S_3\times C_{21}$	$126$	$-1$	✓	$-1$	$63$	$C_2$, $S_3\times C_3$, $C_7$, $C_{14}$

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Results are complete for degrees $\leq 23$.