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
24T2691	$A_4\wr C_2\times C_4$	$1152$	$1$	✓	$-1$	$56$	$C_2$ x 3, $C_2^2$, $S_3\times C_3$, $C_6\times S_3$	32T96703, 36T1634 x 2
36T1634	$A_4\wr C_2\times C_4$	$1152$	$-1$	✓	$-1$	$56$	$C_2$, $C_3$, $S_3$, $C_6$, $D_{6}$, $S_3\times C_3$, $S_3 \times C_6$	24T2691, 32T96703, 36T1634

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Results are complete for degrees $\leq 23$.