Group action invariants
| Degree $n$ : | $46$ | |
| Transitive number $t$ : | $18$ | |
| Parity: | $-1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,30,7,43,23,24,12,27,21,35,22,41,17,34,19,46,9,32,13,33,16,28)(2,36)(3,42,20,29,4,25,15,45,6,37,5,31,10,38,8,26,18,40,14,39,11,44), (1,10,13,14,22,17,23,2,18,8,20)(4,11,21,9,5,19,16,15,7,12,6)(24,43,29,26,27,42,37,31,33,40,30,41,45,36,39,38,46,28,34,32,25,35) | |
| $|\Aut(F/K)|$: | $1$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ x 3 4: $C_2^2$ 8: $D_{4}$ 11: $C_{11}$ 22: 22T1 x 3 44: 44T2 88: 44T5 Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: $C_2$
Degree 23: None
Low degree siblings
46T18Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 64 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $46552=2^{3} \cdot 11 \cdot 23^{2}$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | Data not available |
| Character table: Data not available. |