Group action invariants
| Degree $n$ : | $35$ | |
| Transitive number $t$ : | $46$ | |
| Parity: | $-1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,34,12,16)(2,30,11,18)(3,33,14,17)(4,29,9,15)(5,32,8,21)(6,35,13,19)(7,31,10,20), (1,21,26,13,4,20,23,11,6,17,27,8,2,16,25,10,5,15,22,14,7,19,24,12,3,18,28,9)(29,34,33,31,32,30,35) | |
| $|\Aut(F/K)|$: | $7$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ 4: $C_4$ 20: $F_5$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 5: $F_5$
Degree 7: None
Low degree siblings
35T47Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 179 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $48020=2^{2} \cdot 5 \cdot 7^{4}$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | Data not available |
| Character table: Data not available. |