Galois group search results

The results below are complete, since the LMFDB contains all transitive groups of degree at most 47 (except 32)

Results (6 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	$\#\Aut(F/K)$	Conj. classes	Subfields	Low Degree Siblings
47T1	$C_{47}$	$47$	$1$	✓	$1$	$47$	$47$
47T2	$D_{47}$	$94$	$-1$	✓	$-1$	$1$	$25$
47T3	$C_{47}:C_{23}$	$1081$	$1$	✓	$-1$	$1$	$25$
47T4	$F_{47}$	$2162$	$-1$	✓	$-1$	$1$	$47$
47T5	$A_{47}$	$129311620755584090321482177576805989984598816194560000000000$	$1$		$-1$	$1$	$62494$
47T6	$S_{47}$	$258623241511168180642964355153611979969197632389120000000000$	$-1$		$-1$	$1$	$124754$

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