Group action invariants
| Degree $n$: | $46$ | |
| Transitive number $t$: | $31$ | |
| Parity: | $1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $2$ | |
| Generators: | (1,9,17,26,33,42,4,11,19,28,35,44,5,14,21,29,37,45,7,15,24,32,40)(2,10,18,25,34,41,3,12,20,27,36,43,6,13,22,30,38,46,8,16,23,31,39), (1,14,2,13)(3,11)(4,12)(5,10,6,9)(15,46)(16,45)(17,43,18,44)(19,42,20,41)(21,40,22,39)(23,37)(24,38)(25,36)(26,35)(27,33)(28,34)(29,31,30,32) |
Low degree resolvents
|G/N| Galois groups for stem field(s) $2$: $C_2$ $46$: $D_{23}$ Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: None
Degree 23: $D_{23}$
Low degree siblings
46T30 x 2047, 46T31 x 2046Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy classes
There are 94,264 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $192937984=2^{23} \cdot 23$ | |
| Cyclic: | no | |
| Abelian: | no | |
| Solvable: | yes | |
| GAP id: | not available |
| Character table: not available. |