↑

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 (10 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
43T1	$C_{43}$	$43$	$43$	$1$	✓	$1$	$43$	$1$	$43$
43T2	$D_{43}$	$43$	$86$	$-1$	✓	$-1$	$1$	$1$	$23$
43T3	$C_{43}:C_{3}$	$43$	$129$	$1$	✓	$-1$	$1$	$1$	$17$
43T4	$C_{43}:C_{6}$	$43$	$258$	$-1$	✓	$-1$	$1$	$1$	$13$
43T5	$C_{43}:C_{7}$	$43$	$301$	$1$	✓	$-1$	$1$	$1$	$13$
43T6	$C_{43}:C_{14}$	$43$	$602$	$-1$	✓	$-1$	$1$	$1$	$17$
43T7	$C_{43}:C_{21}$	$43$	$903$	$1$	✓	$-1$	$1$	$1$	$23$
43T8	$F_{43}$	$43$	$1806$	$-1$	✓	$-1$	$1$	$2$	$43$
43T9	$A_{43}$	$43$	$30207631531686917818677566034256998753632256000000000$	$1$		$-1$	$1$	$41$	$31716$
43T10	$S_{43}$	$43$	$60415263063373835637355132068513997507264512000000000$	$-1$		$-1$	$1$	$43$	$63261$

Download displayed columns for results to