Group action invariants
| Degree $n$: | $46$ | |
| Transitive number $t$: | $29$ | |
| Parity: | $-1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $2$ | |
| Generators: | (1,46,43,42,39,38,36,34,32,29,27,26,24,21,19,18,15,14,12,9,7,5,4)(2,45,44,41,40,37,35,33,31,30,28,25,23,22,20,17,16,13,11,10,8,6,3), (1,20,37,9,27,45,18,36,7,26,44,16,33,5,23,41,13,31,4,21,39,12,29,2,19,38,10,28,46,17,35,8,25,43,15,34,6,24,42,14,32,3,22,40,11,30) |
Low degree resolvents
|G/N| Galois groups for stem field(s) $2$: $C_2$ $23$: $C_{23}$ $46$: $C_{46}$ $47104$: 46T19 x 2 $94208$: 46T20 x 2 $96468992$: 46T28 Resolvents shown for degrees $\leq 47$
Subfields
Degree 2: None
Degree 23: $C_{23}$
Low degree siblings
46T29 x 182182Siblings are shown with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
Conjugacy classes
There are 364,768 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. |