Galois group search results

Results (3 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
24T2925	$S_3^4$	$1296$	$1$	✓	$-1$	$81$	$C_2$ x 7, $C_2^2$ x 7, $C_2^3$	36T2230 x 4, 36T2260 x 3
36T2230	$S_3^4$	$1296$	$1$	✓	$-1$	$81$	$C_2$ x 3, $S_3$, $C_2^2$, $D_{6}$ x 3, $S_3 \times C_2^2$, $S_3^3$	24T2925, 36T2230 x 3, 36T2260 x 3
36T2260	$S_3^4$	$1296$	$1$	✓	$-1$	$81$	$C_2$ x 3, $C_2^2$, $S_3^2$ x 2, $S_3\times D_6$ x 2	24T2925, 36T2230 x 4, 36T2260 x 2

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Results are complete for degrees $\leq 23$.