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	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
45T12	$C_9:C_{15}$	$135$	$1$	✓	$2$	$55$	$C_3$, $C_5$, $C_9:C_3$, $C_{15}$

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Results are complete for degrees $\leq 23$.