Galois group search results

The results below are complete, since the LMFDB contains all transitive groups of degree at most 47 (except 32)

Results (4 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
24T3330	$C_2^6:S_4$	$1536$	$1$	✓	$-1$	$48$	$S_3$, $S_4$, $S_4$, $S_4$	24T3330 x 3, 24T3509 x 4, 24T3532 x 4, 24T4258 x 4, 32T97068 x 8
24T3509	$C_2^6:S_4$	$1536$	$1$	✓	$-1$	$48$	$S_3$, $S_4$, $C_2 \times S_4$	24T3330 x 4, 24T3509 x 3, 24T3532 x 4, 24T4258 x 4, 32T97068 x 8
24T3532	$C_2^6:S_4$	$1536$	$-1$	✓	$-1$	$48$	$S_3$, $S_4$ x 3, $C_2^2:S_4$	24T3330 x 4, 24T3509 x 4, 24T3532 x 3, 24T4258 x 4, 32T97068 x 8
24T4258	$C_2^6:S_4$	$1536$	$1$	✓	$-1$	$48$	$S_3$, $S_4$, $C_2^3:S_4$	24T3330 x 4, 24T3509 x 4, 24T3532 x 4, 24T4258 x 3, 32T97068 x 8

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Results are complete for degrees $\leq 23$.