Group action invariants
| Degree $n$ : | $33$ | |
| Transitive number $t$ : | $39$ | |
| Parity: | $1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,19,25,3,22,24,5,14,23,7,17,33,9,20,32,11,12,31,2,15,30,4,18,29,6,21,28,8,13,27,10,16,26), (1,30,11,24)(2,25,10,29)(3,31,9,23)(4,26,8,28)(5,32,7,33)(6,27)(12,17,22,16,21,15,20,14,19,13,18) | |
| $|\Aut(F/K)|$: | $1$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ 6: $S_3$ 24: $S_4$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 3: $S_3$
Degree 11: None
Low degree siblings
44T230Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 100 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $31944=2^{3} \cdot 3 \cdot 11^{3}$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | Data not available |
| Character table: Data not available. |