Group action invariants
| Degree $n$: | $33$ | |
| Transitive number $t$: | $50$ | |
| Parity: | $1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $1$ | |
| Generators: | (1,28,21,6,27,13,11,26,16,5,25,19,10,24,22,4,23,14,9,33,17,3,32,20,8,31,12,2,30,15,7,29,18), (1,12,32,2,16,29,3,20,26,4,13,23,5,17,31,6,21,28,7,14,25,8,18,33,9,22,30,10,15,27,11,19,24) |
Low degree resolvents
|G/N| Galois groups for stem field(s) $3$: $C_3$ $75$: $C_5^2 : C_3$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 3: $C_3$
Degree 11: None
Low degree siblings
There are no siblings 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: | $99825=3 \cdot 5^{2} \cdot 11^{3}$ | |
| Cyclic: | no | |
| Abelian: | no | |
| Solvable: | yes | |
| GAP id: | not available |
| Character table: not available. |