Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T16101	$C_3:S_3^4.D_6$	$46656$	$-1$	✓	$-1$	$132$	$C_2$, $S_3$, $D_{6}$, $C_4\times S_4$	36T16101

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Results are complete for degrees $\leq 23$.