Group action invariants
| Degree $n$ : | $46$ | |
| Transitive number $t$ : | $32$ | |
| Parity: | $-1$ | |
| Primitive: | No | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| Generators: | (1,34,2,33)(3,31,4,32)(5,29,6,30)(7,27,8,28)(9,25,10,26)(11,24)(12,23)(13,21,14,22)(15,19,16,20)(35,45)(36,46)(37,44)(38,43)(39,41,40,42), (1,45,43,42,39,38,35,34,32,29,27,26,24,22,20,17,15,14,12,9,8,5,4,2,46,44,41,40,37,36,33,31,30,28,25,23,21,19,18,16,13,11,10,7,6,3) | |
| $|\Aut(F/K)|$: | $2$ |
Low degree resolvents
|G/N| Galois groups for stem field(s) 2: $C_2$ x 3 4: $C_2^2$ 46: $D_{23}$ 92: $D_{46}$ 192937984: 46T30 Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: None
Degree 23: $D_{23}$
Low degree siblings
46T32 x 4093Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy Classes
There are 188,528 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $385875968=2^{24} \cdot 23$ | |
| Cyclic: | No | |
| Abelian: | No | |
| Solvable: | Yes | |
| GAP id: | Data not available |
| Character table: Data not available. |