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
36T15348	$C_6^2:S_4\wr C_2$	$41472$	$-1$	✓	$-1$	$189$	$C_2$, $C_3^2:D_4$ x 4, $S_4^2:D_4$, $C_3^4:D_4$	36T15348 x 7, 36T15350 x 24
36T15350	$C_6^2:S_4\wr C_2$	$41472$	$-1$	✓	$-1$	$189$	$C_2$, $C_3^2:D_4$ x 2, $S_4^2:D_4$, $C_3^4:D_4$	36T15348 x 8, 36T15350 x 23

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Results are complete for degrees $\leq 23$.