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
36T69424	$C_2^{12}.(C_6\times S_4\wr C_2)$	$28311552$	$-1$	✓	$-1$	$3312$	$C_2$, $C_3$, $C_6$, $C_3^2:D_4$, $S_3^2:C_6$	36T69424 x 23, 36T69427 x 24
36T69427	$C_2^{12}.(C_6\times S_4\wr C_2)$	$28311552$	$1$	✓	$-1$	$3312$	$C_2$, $C_3$, $C_6$, $C_3^2:D_4$, $S_3^2:C_6$	36T69424 x 24, 36T69427 x 23

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Results are complete for degrees $\leq 23$.