Group action invariants
| Degree $n$: | $35$ | |
| Transitive number $t$: | $47$ | |
| Parity: | $1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $1$ | |
| Generators: | (1,28,3,24,7,22,5,25,2,27,6,23,4,26)(8,19,9,17,10,18,13,16,14,21,11,15,12,20)(29,31,35,33,30,34,32), (1,11,32,28,5,14,29,27,4,13,31,24,7,10,35,23,6,9,33,22,3,8,30,26,2,12,34,25)(15,17)(18,21)(19,20) |
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
35T46Siblings 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: | not available |
| Character table: not available. |