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
36T15864	$C_6^4.S_3^2$	$46656$	$1$	✓	$-1$	$462$	$C_2$, $S_3$, $D_{6}$, $C_2^3:S_4$, $C_3^5.D_6$	36T15864 x 5, 36T15865 x 6
36T15865	$C_6^4.S_3^2$	$46656$	$1$	✓	$-1$	$462$	$C_2$, $S_3$, $D_{6}$, $C_2^3:S_4$, $C_3^5.D_6$	36T15864 x 6, 36T15865 x 5

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Results are complete for degrees $\leq 23$.