Group action invariants
| Degree $n$ : | $21$ | |
| Transitive number $t$ : | $50$ | |
| Parity: | $-1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,7,14,21,4,11,18,3,8,13,20,6,12,17)(2,9,15,19,5,10,16), (1,13,6,17,9,19,10)(2,14,4,18,7,21,11)(3,15,5,16,8,20,12) | |
| $|\Aut(F/K)|$: | $1$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ 7: $C_7$ 14: $C_{14}$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 3: None
Degree 7: $C_7$
Low degree siblings
21T50 x 51, 42T554 x 52Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 66 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $10206=2 \cdot 3^{6} \cdot 7$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | Data not available |
| Character table: Data not available. |