Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T77156	$C_2^8.(D_4\times A_4^3.S_4)$	$84934656$	$-1$	✓	$-1$	$3952$	$S_3$, $C_3 \wr S_3 $, $C_2\times A_4^3.S_4$	36T77156 x 31

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Results are complete for degrees $\leq 23$.