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
36T66063	$C_2^{10}.A_4^3:D_6$	$21233664$	$-1$	✓	$-1$	$1424$	$C_2$, $S_3$, $D_{6}$, $C_3 \wr S_3 $, $C_3^3:D_6$	36T66063 x 7, 36T66720 x 8
36T66720	$C_2^{10}.A_4^3:D_6$	$21233664$	$-1$	✓	$-1$	$1424$	$S_3$, $C_3 \wr S_3 $, $A_4^3:D_6$	36T66063 x 8, 36T66720 x 7

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Results are complete for degrees $\leq 23$.