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
32T339	$C_8:D_4$	$64$	$1$	✓	$3$	$16$	$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $Z_8 : Z_8^\times$ x 4, $D_8:C_2$ x 2, $C_4^2:C_2$	32T339, 32T360
32T360	$C_8:D_4$	$64$	$1$	✓	$3$	$16$	$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4\times C_2$ x 3, $D_8:C_2$ x 2, $C_4^2:C_2$	32T339 x 2

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Results are complete for degrees $\leq 23$.