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
24T16575	$C_2^3.S_3\wr D_4$	$82944$	$-1$	✓	$-1$	$234$	$C_2$, $D_{4}$, $(C_4^2 : C_2):C_2$, $S_3\wr D_4$	24T16575 x 15, 24T16579 x 16
24T16579	$C_2^3.S_3\wr D_4$	$82944$	$-1$	✓	$-1$	$234$	$C_2$, $D_{4}$, $C_2 \wr C_2\wr C_2$, $S_3\wr D_4$	24T16575 x 16, 24T16579 x 15

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Results are complete for degrees $\leq 23$.