Galois group search results

The results below are complete, since the LMFDB contains all transitive groups of degree at most 47 (except 32)

Results (unique match)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T87362	$C_3^{12}.C_2^6.D_6$	$408146688$	$1$	✓	$-1$	$4542$	$C_2$, $S_3$, $D_{6}$, $C_2^3:S_4$	36T87362

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Results are complete for degrees $\leq 23$.