Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T7165	$C_6^3:S_3^2$	$7776$	$1$	✓	$-1$	$186$	$C_2$, $S_3$, $D_{6}$, $S_4\times C_2$ x 2, $C_2^2\times S_4$, $C_3^3:S_3^2$	36T7165 x 5

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Results are complete for degrees $\leq 23$.