Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
45T538	$(C_5\times C_{15}^2):C_{12}$	$13500$	$-1$	✓	$-1$	$145$	$C_3$, $C_3^2:C_3$, $C_5^3:C_{12}$	45T538 x 23

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Results are complete for degrees $\leq 23$.