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
36T4609	$C_3^3.(C_6\times S_4)$	$3888$	$1$	✓	$-1$	$84$	$C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$, $C_3^3.S_3^2$	36T4610
36T4610	$C_3^3.(C_6\times S_4)$	$3888$	$1$	✓	$-1$	$84$	$C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$, $C_3^3.S_3^2$	36T4609

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Results are complete for degrees $\leq 23$.