Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
45T416	$(C_5\times C_{15}^2):C_6$	$6750$	$1$	✓	$-1$	$224$	$C_3$, $C_3^2:C_3$, $C_5^3:C_6$	45T416 x 23

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Results are complete for degrees $\leq 23$.