Group action invariants
| Degree $n$ : | $46$ | |
| Transitive number $t$ : | $9$ | |
| Parity: | $1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,26,4,45)(2,40,3,31)(5,36,23,35)(6,27,22,44)(7,41,21,30)(8,32,20,39)(9,46,19,25)(10,37,18,34)(11,28,17,43)(12,42,16,29)(13,33,15,38)(14,24), (1,6,11,16,21,3,8,13,18,23,5,10,15,20,2,7,12,17,22,4,9,14,19)(24,45,43,41,39,37,35,33,31,29,27,25,46,44,42,40,38,36,34,32,30,28,26) | |
| $|\Aut(F/K)|$: | $1$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ 4: $C_4$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: $C_2$
Degree 23: None
Low degree siblings
46T9 x 11Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 136 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $2116=2^{2} \cdot 23^{2}$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | Data not available |
| Character table: Data not available. |