Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T78971	$C_2^{12}.S_4^3:C_2$	$113246208$	$-1$	✓	$-1$	$5184$	$C_2$, $S_3$, $D_{6}$, $C_3^2:D_4$, $S_3^3:C_2$	36T78971 x 31

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Results are complete for degrees $\leq 23$.