Group action invariants
| Degree $n$: | $46$ | |
| Transitive number $t$: | $19$ | |
| Parity: | $1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $2$ | |
| Generators: | (1,11,21,31,41,5,16,25,35,45,9,19,29,39,4,14,24,34,43,8,18,27,38)(2,12,22,32,42,6,15,26,36,46,10,20,30,40,3,13,23,33,44,7,17,28,37), (1,34,20,5,37,23,10,42,27,14,45,31,18,3,35,21,7,39,25,11,43,29,16)(2,33,19,6,38,24,9,41,28,13,46,32,17,4,36,22,8,40,26,12,44,30,15) |
Low degree resolvents
|G/N| Galois groups for stem field(s) $23$: $C_{23}$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: None
Degree 23: $C_{23}$
Low degree siblings
46T19 x 88Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy classes
There are 112 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $47104=2^{11} \cdot 23$ | |
| Cyclic: | no | |
| Abelian: | no | |
| Solvable: | yes | |
| GAP id: | not available |
| Character table: not available. |