Group action invariants
| Degree $n$ : | $26$ | |
| Transitive number $t$ : | $11$ | |
| Group : | $C_{13}\times D_{13}$ | |
| Parity: | $-1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,23,13,18,12,26,11,21,10,16,9,24,8,19,7,14,6,22,5,17,4,25,3,20,2,15), (1,15,8,24,2,20,9,16,3,25,10,21,4,17,11,26,5,22,12,18,6,14,13,23,7,19) | |
| $|\Aut(F/K)|$: | $13$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ 13: $C_{13}$ 26: $D_{13}$, $C_{26}$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: $C_2$
Degree 13: None
Low degree siblings
26T11 x 5Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 104 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $338=2 \cdot 13^{2}$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | [338, 3] |
| Character table: Data not available. |