Group action invariants
| Degree $n$ : | $20$ | |
| Transitive number $t$ : | $1100$ | |
| Parity: | $1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,9,15,18,19,8)(2,10,16,17,20,7)(3,11,14,6)(4,12,13,5), (1,16,12)(2,15,11)(3,19,14)(4,20,13)(5,17,7)(6,18,8) | |
| $|\Aut(F/K)|$: | $2$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 1814400: $A_{10}$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: None
Degree 4: None
Degree 5: None
Degree 10: $A_{10}$
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 139 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $928972800=2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | No | |
| GAP id: | Data not available |
| Character table: Data not available. |