Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T563	$C_6\times S_3\times A_4$	$432$	$1$	✓	$-1$	$72$	$C_2$, $C_3$, $C_6$, $S_3\times C_3$ x 3, $A_4\times C_2$ x 2, $C_2^2 \times A_4$, $C_3^2\times S_3$

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Results are complete for degrees $\leq 23$.