Group action invariants
| Degree $n$: | $33$ | |
| Transitive number $t$: | $31$ | |
| Parity: | $1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $1$ | |
| Generators: | (1,31,21,10,32,13,8,33,16,6,23,19,4,24,22,2,25,14,11,26,17,9,27,20,7,28,12,5,29,15,3,30,18), (1,26,16,6,23,18,11,31,20,5,28,22,10,25,13,4,33,15,9,30,17,3,27,19,8,24,21,2,32,12,7,29,14) |
Low degree resolvents
|G/N| Galois groups for stem field(s) $3$: $C_3$ $12$: $A_4$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 3: $C_3$
Degree 11: None
Low degree siblings
44T142Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy classes
There are 149 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $15972=2^{2} \cdot 3 \cdot 11^{3}$ | |
| Cyclic: | no | |
| Abelian: | no | |
| Solvable: | yes | |
| GAP id: | not available |
| Character table: not available. |