Group action invariants
| Degree $n$ : | $46$ | |
| Transitive number $t$ : | $21$ | |
| Parity: | $-1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,40,4,24,20,46,21,33,11,25,19,36,8,41,3,37,7,31,13,45,22,43)(2,27,17,39,5,34,10,38,6,44,23,30,14,32,12,35,9,28,16,29,15,42)(18,26), (1,29,19,25,5,46,21,45,6,33,10,27,12,24,13,34,2,39,8,30,11,37)(3,26,20,35,17,28,4,36,9,40,23,42,7,43,22,32,18,38,16,41,15,31)(14,44) | |
| $|\Aut(F/K)|$: | $1$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ 11: $C_{11}$ 22: $D_{11}$, 22T1 242: 22T7 Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: $C_2$
Degree 23: 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 104 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $128018=2 \cdot 11^{2} \cdot 23^{2}$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | Data not available |
| Character table: Data not available. |