Galois group search results

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

Results (displaying both matches)

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Label	Name	Degree	Order	Parity	Solvable	Nil. class	$\#\Aut(F/K)$	Transitivity	Conj. classes	Subfields	Low Degree Siblings
27T2148	$C_3^6.Q_8\wr C_3:S_3:S_3$	$27$	$40310784$	$-1$	✓	$-1$	$1$	$1$	$141$	$S_3$	36T71526
36T71526	$C_3^6.Q_8\wr C_3:S_3:S_3$	$36$	$40310784$	$1$	✓	$-1$	$1$	$1$	$141$	$S_3$, $C_2^2:A_4^2:D_6$	27T2148

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