Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
32T5586	$C_2^5:D_4$	$256$	$1$	✓	$2$	$88$	$C_2$ x 3, $C_2^2$, $D_{4}$ x 14, $D_4\times C_2$ x 7, $C_2^2 \wr C_2$ x 28, $C_2^3:D_4$ x 7, $C_2^3\wr C_2$ x 8	32T5586 x 2047

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Results are complete for degrees $\leq 23$.