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
32T366	$C_2^3.Q_8$	$64$	$1$	✓	$3$	$28$	$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8$ x 2, $Q_8\times C_2$, $C_8.C_4$ x 2	32T367
32T367	$C_2^3.Q_8$	$64$	$1$	✓	$3$	$28$	$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 2, $C_4\times C_2$, $D_4$, $Q_8$, $C_4:C_4$, $C_8.C_4$ x 2	32T366

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Results are complete for degrees $\leq 23$.