Group action invariants
| Degree $n$ : | $39$ | |
| Transitive number $t$ : | $50$ | |
| Parity: | $1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,31,24,15,4,35,27,18,8,38,30,19,10)(2,32,22,13,5,36,25,16,9,39,28,20,11)(3,33,23,14,6,34,26,17,7,37,29,21,12), (1,37,36,33,29,25,23,20,17,15,12,8,5)(2,38,34,31,30,26,24,21,18,13,10,9,6)(3,39,35,32,28,27,22,19,16,14,11,7,4) | |
| $|\Aut(F/K)|$: | $3$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 13: $C_{13}$ 351: 27T134 x 2 Resolvents shown for degrees $\leq 47$
Subfields
Degree 3: None
Degree 13: $C_{13}$
Low degree siblings
39T50 x 25Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 69 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $9477=3^{6} \cdot 13$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | [9477, 4043] |
| Character table: Data not available. |