Group action invariants
| Degree $n$: | $46$ | |
| Transitive number $t$: | $8$ | |
| Parity: | $-1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $1$ | |
| Generators: | (1,22)(2,21)(3,20)(4,19)(5,18)(6,17)(7,16)(8,15)(9,14)(10,13)(11,12)(24,46)(25,45)(26,44)(27,43)(28,42)(29,41)(30,40)(31,39)(32,38)(33,37)(34,36), (1,38,22,33,20,28,18,46,16,41,14,36,12,31,10,26,8,44,6,39,4,34,2,29,23,24,21,42,19,37,17,32,15,27,13,45,11,40,9,35,7,30,5,25,3,43) |
Low degree resolvents
|G/N| Galois groups for stem field(s) $2$: $C_2$ x 3 $4$: $C_2^2$ $46$: $D_{23}$ x 2 $92$: $D_{46}$ x 2 Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: $C_2$
Degree 23: None
Low degree siblings
46T8 x 10Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy classes
There are 169 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $2116=2^{2} \cdot 23^{2}$ | |
| Cyclic: | no | |
| Abelian: | no | |
| Solvable: | yes | |
| GAP id: | not available |
| Character table: not available. |