Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T1207	$\He_3:S_4$	$648$	$-1$	✓	$-1$	$23$	$S_3$, $S_4$, $(C_3^3:C_3):C_2$, $C_3:S_4$	36T1207 x 2

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Results are complete for degrees $\leq 23$.