Group action invariants
| Degree $n$: | $46$ | |
| Transitive number $t$: | $20$ | |
| Parity: | $-1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $2$ | |
| Generators: | (1,3,6,7,10,12,13,15,18,20,22,23,26,28,30,31,34,36,38,39,42,44,45)(2,4,5,8,9,11,14,16,17,19,21,24,25,27,29,32,33,35,37,40,41,43,46), (1,29,12,40,22,3,31,14,42,23,5,34,16,43,25,8,35,18,46,28,9,37,20,2,30,11,39,21,4,32,13,41,24,6,33,15,44,26,7,36,17,45,27,10,38,19) |
Low degree resolvents
|G/N| Galois groups for stem field(s) $2$: $C_2$ $23$: $C_{23}$ $46$: $C_{46}$ $47104$: 46T19 Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: None
Degree 23: $C_{23}$
Low degree siblings
46T20 x 88Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy classes
There are 224 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $94208=2^{12} \cdot 23$ | |
| Cyclic: | no | |
| Abelian: | no | |
| Solvable: | yes | |
| GAP id: | not available |
| Character table: not available. |