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
24T18362	$A_4^2\wr C_2.C_4$	$165888$	$1$	✓	$-1$	$212$	$C_2$ x 3, $C_2^2$, $C_3\wr C_2^2$	32T2077406, 36T23316 x 2
36T23316	$A_4^2\wr C_2.C_4$	$165888$	$-1$	✓	$-1$	$212$	$C_2$, $S_3\times C_3$, $S_3^2$, $C_3\wr C_2^2$	24T18362, 32T2077406, 36T23316

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Results are complete for degrees $\leq 23$.