Group action invariants
| Degree $n$ : | $33$ | |
| Transitive number $t$ : | $43$ | |
| Parity: | $1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,22,31)(2,14,29,4,20,25,10,16,24,6,15,32,5,12,23)(3,17,27,7,18,30,8,21,28,11,19,33,9,13,26), (1,15,7,18,4,22,11,20,2,21)(3,16,6,12,10,14,8,13,9,19)(5,17)(24,30,28,25,26,33,27,29,32,31) | |
| $|\Aut(F/K)|$: | $1$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ 5: $C_5$ 6: $S_3$ 10: $C_{10}$ 30: $S_3 \times C_5$ 110: $F_{11}$ 330: 33T9 3630: 33T20 Resolvents shown for degrees $\leq 47$
Subfields
Degree 3: $S_3$
Degree 11: None
Low degree siblings
33T43 x 9Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 65 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $39930=2 \cdot 3 \cdot 5 \cdot 11^{3}$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | Data not available |
| Character table: Data not available. |