Galois group search results

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

Results (unique match)

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Label	Name	Degree	Order	Parity	Solvable	Nil. class	$\#\Aut(F/K)$	Transitivity	Conj. classes	Subfields	Low Degree Siblings
36T6722	$C_9:S_3\wr C_3$	$36$	$5832$	$1$	✓	$-1$	$1$	$1$	$45$	$S_3$, $A_4$, $S_3\times A_4$	36T6722

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