Galois group search results

Results (displaying both matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
27T219	$F_{27}$	$702$	$-1$	✓	$-1$	$27$		39T22
39T22	$F_{27}$	$702$	$-1$	✓	$-1$	$27$	$C_{13}$	27T219

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Results are complete for degrees $\leq 23$.