Group action invariants
| Degree $n$: | $39$ | |
| Transitive number $t$: | $49$ | |
| Parity: | $1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $3$ | |
| Generators: | (1,36,30,22,16,12,4,38,32,26,19,15,8)(2,34,28,23,17,10,5,39,33,27,20,13,9)(3,35,29,24,18,11,6,37,31,25,21,14,7), (1,29,18,6,31,21,7,36,24,10,39,27,14)(2,30,16,4,32,19,8,34,22,11,37,25,15)(3,28,17,5,33,20,9,35,23,12,38,26,13) |
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
39T49 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, 4041] |
| Character table: not available. |