Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T20490	$A_4^2.C_2\wr D_6$	$110592$	$-1$	✓	$-1$	$392$	$C_2$, $S_3$, $D_{6}$, $S_3\times C_3$, $C_3\times S_3^2$	36T20490 x 7

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Results are complete for degrees $\leq 23$.