Group action invariants
| Degree $n$ : | $38$ | |
| Transitive number $t$ : | $13$ | |
| Parity: | $-1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,24,16,26,12,28,8,30,4,32,19,34,15,36,11,38,7,21,3,23,18,25,14,27,10,29,6,31,2,33,17,35,13,37,9,20,5,22), (1,9,2)(3,12,16)(5,15,11)(6,7,18)(8,10,13)(14,19,17)(20,21,28)(22,35,31)(24,30,34)(25,37,26)(27,32,29)(33,36,38) | |
| $|\Aut(F/K)|$: | $1$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ 6: $S_3$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: $C_2$
Degree 19: None
Low degree siblings
There are no siblings with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 90 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $2166=2 \cdot 3 \cdot 19^{2}$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | Data not available |
| Character table: Data not available. |