Group action invariants
| Degree $n$: | $46$ | |
| Transitive number $t$: | $13$ | |
| Parity: | $-1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $1$ | |
| Generators: | (1,39,5,26,9,36,13,46,17,33,21,43,2,30,6,40,10,27,14,37,18,24,22,34,3,44,7,31,11,41,15,28,19,38,23,25,4,35,8,45,12,32,16,42,20,29), (1,23,12,6,9,19,14,5,21,13,17,15,16,4,10,7,20,2,11,18,3,22)(24,40,31,26,36,39,33,45,44,46,42,27,34,43,25,38,35,41,29,30,28,32) |
Low degree resolvents
|G/N| Galois groups for stem field(s) $2$: $C_2$ x 3 $4$: $C_2^2$ $22$: $D_{11}$ $44$: $D_{22}$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: $C_2$
Degree 23: None
Low degree siblings
There are no siblings with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy classes
There are 59 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $23276=2^{2} \cdot 11 \cdot 23^{2}$ | |
| Cyclic: | no | |
| Abelian: | no | |
| Solvable: | yes | |
| GAP id: | not available |
| Character table: not available. |