Galois group search results

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

Results (3 matches)

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Label	Name	Degree	Order	Parity	Solvable	Nil. class	$\#\Aut(F/K)$	Transitivity	Conj. classes	Subfields	Low Degree Siblings
24T568	$C_3:F_9$	$24$	$216$	$-1$	✓	$-1$	$3$	$1$	$15$	$C_2$, $C_4$, $C_8$	27T80, 36T288
27T80	$C_3:F_9$	$27$	$216$	$1$	✓	$-1$	$1$	$1$	$15$	$S_3$, $C_3^2:C_8$	24T568, 36T288
36T288	$C_3:F_9$	$36$	$216$	$1$	✓	$-1$	$3$	$1$	$15$	$C_2$, $S_3$, $C_4$, $S_3$, $C_3 : C_4$, $F_9$	24T568, 27T80

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