Galois group search results

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T823	$C_2^2:A_4\times D_6$	$576$	$1$	✓	$-1$	$48$	$C_3$, $S_3$, $A_4$, $A_4\times C_2$ x 2, $S_3\times C_3$, $C_2^3:A_4$, $S_3\times A_4$, $A_4\times D_6$ x 2	36T823 x 59, 36T831 x 60
36T831	$C_2^2:A_4\times D_6$	$576$	$1$	✓	$-1$	$48$	$C_3$, $S_3$, $A_4\times C_2$ x 3, $S_3\times C_3$, $C_2^2\wr C_3$, $S_3\times A_4$, $A_4\times D_6$ x 2	36T823 x 60, 36T831 x 59

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Results are complete for degrees $\leq 23$.