Galois group search results

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T103805	$C_2^{18}.C_3^3.C_3^3.S_4$	$4586471424$	$1$	✓	$-1$	$1088$	$S_3$, $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$	36T103805 x 6

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Results are complete for degrees $\leq 23$.