Group action invariants
| Degree $n$: | $46$ | |
| Transitive number $t$: | $28$ | |
| Parity: | $1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $2$ | |
| Generators: | (1,14,26,37,4,16,27,39,6,17,29,42,7,20,31,43,9,22,34,45,12,23,35)(2,13,25,38,3,15,28,40,5,18,30,41,8,19,32,44,10,21,33,46,11,24,36), (1,21,41,16,35,10,30,4,24,44,17,37,12,32,5,25,46,20,39,13,33,7,28)(2,22,42,15,36,9,29,3,23,43,18,38,11,31,6,26,45,19,40,14,34,8,27) |
Low degree resolvents
|G/N| Galois groups for stem field(s) $23$: $C_{23}$ $47104$: 46T19 x 2 Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: None
Degree 23: $C_{23}$
Low degree siblings
46T28 x 182182Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy classes
There are 182,384 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $96468992=2^{22} \cdot 23$ | |
| Cyclic: | no | |
| Abelian: | no | |
| Solvable: | yes | |
| GAP id: | not available |
| Character table: not available. |