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
24T1649	$C_2^3.\GL(2,\mathbb{Z}/4)$	$768$	$-1$	✓	$-1$	$40$	$C_2$, $S_3$, $C_4$, $S_3$, $C_3 : C_4$	24T1649, 24T1670 x 2, 32T35145 x 2, 32T35213 x 2
24T1670	$C_2^3.\GL(2,\mathbb{Z}/4)$	$768$	$-1$	✓	$-1$	$40$	$C_2$, $S_3$, $D_{4}$, $S_3$, $(C_6\times C_2):C_2$	24T1649 x 2, 24T1670, 32T35145 x 2, 32T35213 x 2

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Results are complete for degrees $\leq 23$.