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
36T22	$C_6^2:C_2$	$72$	$-1$	✓	$-1$	$21$	$C_2$, $S_3$ x 4, $D_{4}$, $S_3$ x 4, $C_3^2:C_2$, $(C_6\times C_2):C_2$ x 4, $C_3^2 : C_2$	36T42
36T42	$C_6^2:C_2$	$72$	$-1$	✓	$-1$	$21$	$C_2$, $S_3$ x 4, $D_{4}$, $D_{6}$ x 4, $C_3^2:C_2$, $(C_6\times C_2):C_2$ x 4, $C_6:S_3$	36T22

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Results are complete for degrees $\leq 23$.