Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
32T9401	$\GL(2,3):D_4$	$384$	$1$	✓	$-1$	$40$	$C_2$, $D_{4}$, $S_4$, $S_4\times C_2$, $\GL(2,3):C_2$, $D_4\times S_4$, $\GL(2,3):C_2^2$	32T9401 x 7

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Results are complete for degrees $\leq 23$.