Group action invariants
| Degree $n$ : | $18$ | |
| Transitive number $t$ : | $963$ | |
| Parity: | $1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,8,6,11,4,17,14,10,15)(2,7,5,12,3,18,13,9,16), (1,9,11,3,5,15,14,2,10,12,4,6,16,13)(7,8) | |
| $|\Aut(F/K)|$: | $2$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 181440: $A_9$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: None
Degree 3: None
Degree 6: None
Degree 9: $A_9$
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 84 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $46448640=2^{14} \cdot 3^{4} \cdot 5 \cdot 7$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | No | |
| GAP id: | Data not available |
| Character table: Data not available. |