Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T34160	$C_3^5.D_4^3:S_3$	$746496$	$-1$	✓	$-1$	$1494$	$S_3$, $S_4\times C_2$, $D_4^3:S_3$, $C_3^5:(C_2\times S_4)$	36T34160 x 15

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Results are complete for degrees $\leq 23$.