Group action invariants
| Degree $n$ : | $33$ | |
| Transitive number $t$ : | $34$ | |
| Parity: | $1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,20,23,7,17,30,6,12,27,8,22,33,4,13,32)(2,14,26,5,18,24,10,21,28,11,15,31,9,16,25)(3,19,29), (1,17,25,8,16,33,7,13,24,4,15,30,6,21,26)(2,20,23,11,14,27,5,18,28,9,19,31,10,22,29)(3,12,32) | |
| $|\Aut(F/K)|$: | $1$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 3: $C_3$ 5: $C_5$ 15: $C_{15}$ 55: $C_{11}:C_5$ 165: 33T6 1815: 33T16 Resolvents shown for degrees $\leq 47$
Subfields
Degree 3: $C_3$
Degree 11: None
Low degree siblings
33T34 x 39Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 109 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $19965=3 \cdot 5 \cdot 11^{3}$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | Data not available |
| Character table: Data not available. |