↑

Learn more

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

Refine search

Parity	Cyclic	Solvable	Primitive	Equivalent siblings

Degree	$T$-number	Order	Group	Nilpotency class

$\#\Aut(F/K)$	Transitivity

			Sort order	Select

Results (9 matches)

Download displayed columns for results to

Label	Name	Degree	Order	Parity	Solvable	Nil. class	$\#\Aut(F/K)$	Transitivity	Conj. classes	Subfields	Low Degree Siblings
13T1	$C_{13}$	$13$	$13$	$1$	✓	$1$	$13$	$1$	$13$
13T2	$D_{13}$	$13$	$26$	$1$	✓	$-1$	$1$	$1$	$8$		26T2
13T3	$C_{13}:C_3$	$13$	$39$	$1$	✓	$-1$	$1$	$1$	$7$		39T2
13T4	$C_{13}:C_4$	$13$	$52$	$-1$	✓	$-1$	$1$	$1$	$7$		26T4
13T5	$C_{13}:C_6$	$13$	$78$	$1$	✓	$-1$	$1$	$1$	$8$		26T6, 39T6
13T6	$F_{13}$	$13$	$156$	$-1$	✓	$-1$	$1$	$2$	$13$		26T8, 39T11
13T7	$\PSL(3,3)$	$13$	$5616$	$1$		$-1$	$1$	$2$	$12$		13T7, 26T39 x 2, 39T43 x 2
13T8	$A_{13}$	$13$	$3113510400$	$1$		$-1$	$1$	$11$	$55$
13T9	$S_{13}$	$13$	$6227020800$	$-1$		$-1$	$1$	$13$	$101$		26T83

Download displayed columns for results to