Group action invariants
| Degree $n$ : | $16$ | |
| Transitive number $t$ : | $1938$ | |
| Parity: | $1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,14,7,12,5,10,4)(2,13,8,11,6,9,3), (1,4,11)(2,3,12)(5,7,13,15,10)(6,8,14,16,9) | |
| $|\Aut(F/K)|$: | $2$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 20160: $A_8$ 1290240: 56T? Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: None
Degree 4: None
Degree 8: $A_8$
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 62 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $2580480=2^{13} \cdot 3^{2} \cdot 5 \cdot 7$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | No | |
| GAP id: | Data not available |
| Character table: Data not available. |