Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T30406	$C_6\wr D_6$	$559872$	$-1$	✓	$-1$	$5166$	$C_2$, $S_3$, $D_{6}$, $C_2\wr D_6$, $C_3\wr D_6$	36T30406 x 71

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Results are complete for degrees $\leq 23$.