Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T87337	$C_3^8.((C_3\times C_6^3).\GL(2,\mathbb{Z}/4))$	$408146688$	$1$	✓	$-1$	$14394$	$C_2$, $S_3$, $S_3$, $C_2^3:S_4$	36T87337 x 17

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Results are complete for degrees $\leq 23$.