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
14T14	$C_7:F_7$	$294$	$-1$	✓	$-1$	$17$	$C_2$	14T14 x 2, 42T61 x 3
42T61	$C_7:F_7$	$294$	$-1$	✓	$-1$	$17$	$C_2$, $C_3$, $C_6$, $C_7:F_7$	14T14 x 3, 42T61 x 2

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Results are complete for degrees $\leq 23$.