Galois group search results

Results (4 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
24T5391	$C_2^5:(C_4\times S_4)$	$3072$	$-1$	✓	$-1$	$86$	$C_2$ x 3, $S_3$, $C_2^2$, $D_{6}$ x 3, $S_3 \times C_2^2$	24T5391 x 3, 24T5464 x 4, 24T6155 x 4, 24T6590 x 4, 32T205914 x 4, 32T206196 x 4
24T5464	$C_2^5:(C_4\times S_4)$	$3072$	$1$	✓	$-1$	$86$	$C_2$, $S_3$, $D_{4}$, $D_{6}$, $S_3\times D_4$	24T5391 x 4, 24T5464 x 3, 24T6155 x 4, 24T6590 x 4, 32T205914 x 4, 32T206196 x 4
24T6155	$C_2^5:(C_4\times S_4)$	$3072$	$1$	✓	$-1$	$86$	$C_2$, $S_3$, $D_{6}$, $C_4\times S_4$	24T5391 x 4, 24T5464 x 4, 24T6155 x 3, 24T6590 x 4, 32T205914 x 4, 32T206196 x 4
24T6590	$C_2^5:(C_4\times S_4)$	$3072$	$1$	✓	$-1$	$86$	$C_2$, $S_3$, $D_{6}$, $D_4\times S_4$	24T5391 x 4, 24T5464 x 4, 24T6155 x 4, 24T6590 x 3, 32T205914 x 4, 32T206196 x 4

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Results are complete for degrees $\leq 23$.