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
42T703	$C_2\times C_7^3:S_4$	$16464$	$-1$	✓	$-1$	$140$	$C_2$, $S_3$, $D_{6}$, $C_7^3:S_4$	42T703, 42T704 x 2
42T704	$C_2\times C_7^3:S_4$	$16464$	$-1$	✓	$-1$	$140$	$S_3$, $S_4\times C_2$, $C_7^3:S_4$	42T703 x 2, 42T704

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Results are complete for degrees $\leq 23$.