Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T2466	$C_2^3.S_3^3$	$1728$	$-1$	✓	$-1$	$75$	$C_2$, $S_3$, $D_{6}$, $S_3^2$, $D_4\times S_4$, $S_3^3$	36T2466 x 3

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Results are complete for degrees $\leq 23$.