Group action invariants
| Degree $n$ : | $46$ | |
| Transitive number $t$ : | $7$ | |
| Parity: | $-1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,43,10,32,19,44,5,33,14,45,23,34,9,46,18,35,4,24,13,36,22,25,8,37,17,26,3,38,12,27,21,39,7,28,16,40,2,29,11,41,20,30,6,42,15,31), (1,5,9,13,17,21,2,6,10,14,18,22,3,7,11,15,19,23,4,8,12,16,20)(24,35,46,34,45,33,44,32,43,31,42,30,41,29,40,28,39,27,38,26,37,25,36) | |
| $|\Aut(F/K)|$: | $23$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ 23: $C_{23}$ 46: $D_{23}$, $C_{46}$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: $C_2$
Degree 23: None
Low degree siblings
46T7 x 10Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 299 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $1058=2 \cdot 23^{2}$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | [1058, 3] |
| Character table: Data not available. |