Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T70179	$C_2^{12}.(C_6^3.S_3^2)$	$31850496$	$1$	✓	$-1$	$768$	$C_2$, $S_3$, $D_{6}$, $C_3^3.S_3^2$	36T70179

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Results are complete for degrees $\leq 23$.