Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T1210	$S_4\times \He_3$	$648$	$-1$	✓	$-1$	$55$	$C_3$, $S_4$, $C_3^2:C_3$, $C_3\times S_4$	36T1210 x 3

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Results are complete for degrees $\leq 23$.