Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
32T2167	$C_4\times \GL(2,3)$	$192$	$1$	✓	$-1$	$32$	$C_2$, $C_4$, $S_4$, $\textrm{GL(2,3)}$ x 2, $S_4\times C_2$, $C_4\times S_4$, $C_2\times \GL(2,3)$, $\GL(2,3):C_2$	32T2167 x 3

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Results are complete for degrees $\leq 23$.