Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
32T272	$D_4:C_8$	$64$	$1$	✓	$3$	$28$	$C_2$, $C_4$, $D_{4}$ x 2, $C_8$, $D_{8}$, $C_8:C_2$, $QD_{16}$, $C_2^2:C_4$, $C_2^2 : C_8$, $D_4:C_4$, $C_4\wr C_2$	32T272

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Results are complete for degrees $\leq 23$.