Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T1838	$(C_2^3\times C_6):S_4$	$1152$	$1$	✓	$-1$	$72$	$S_3$ x 4, $S_4\times C_2$ x 3, $C_3^2:C_2$, $C_2^2\wr S_3$, $C_6:S_4$ x 3	36T1838 x 23

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Results are complete for degrees $\leq 23$.