Galois group search results

Results (displaying both matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
45T30	$C_3^2:C_{30}$	$270$	$-1$	✓	$-1$	$50$	$C_3$, $C_5$, $C_3^2 : S_3 $, $C_{15}$	45T37
45T37	$C_3^2:C_{30}$	$270$	$1$	✓	$-1$	$50$	$S_3$, $C_5$, $C_3^2 : C_6$, $S_3 \times C_5$	45T30

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Results are complete for degrees $\leq 23$.