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
36T74487	$C_2^{12}.S_4^2:D_{12}$	$56623104$	$-1$	✓	$-1$	$2664$	$C_2$, $S_3$, $D_{6}$, $C_3^2:D_4$, $S_3^3:C_2$	36T74487 x 7, 36T74491 x 8
36T74491	$C_2^{12}.S_4^2:D_{12}$	$56623104$	$-1$	✓	$-1$	$2664$	$C_2$, $S_3$, $D_{6}$, $C_3^2:D_4$, $S_3^3:C_2$	36T74487 x 8, 36T74491 x 7

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Results are complete for degrees $\leq 23$.