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
24T1298	$C_2.S_3^3$	$432$	$1$	✓	$-1$	$54$	$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $S_3^3$	24T1298, 36T652 x 4
36T652	$C_2.S_3^3$	$432$	$-1$	✓	$-1$	$54$	$C_2$, $S_3$, $C_4$, $D_{6}$, $S_3^2$, $S_3 \times C_4$, $C_6.D_6$, $S_3^3$	24T1298 x 2, 36T652 x 3

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Results are complete for degrees $\leq 23$.