Group action invariants
| Degree $n$: | $44$ | |
| Transitive number $t$: | $34$ | |
| Parity: | $-1$ | |
| Primitive: | no | |
| Nilpotency class: | $-1$ (not nilpotent) | |
| $|\Aut(F/K)|$: | $2$ | |
| Generators: | (1,25,19,28)(2,26,20,27)(3,35,17,39)(4,36,18,40)(5,24,15,30)(6,23,16,29)(7,33,14,42)(8,34,13,41)(9,43,11,31)(10,44,12,32)(21,37,22,38), (1,21,20,17,15,14,12,10,7,5,3,2,22,19,18,16,13,11,9,8,6,4)(23,44,41,39,38,36,33,31,30,28,25,24,43,42,40,37,35,34,32,29,27,26) |
Low degree resolvents
|G/N| Galois groups for stem field(s) $2$: $C_2$ x 3 $4$: $C_4$ x 2, $C_2^2$ $8$: $C_4\times C_2$ $484$: 22T8 Resolvents shown for degrees $\leq 29$
Subfields
Degree 2: $C_2$
Degree 4: $C_4$
Degree 11: None
Degree 22: 22T8
Low degree siblings
There are no siblings with degree $\leq 29$
Data on whether or not a number field with this Galois group has arithmetically equivalent fields has not been computed.
Conjugacy classes
There are 68 conjugacy classes of elements. Data not shown.
Group invariants
| Order: | $968=2^{3} \cdot 11^{2}$ | |
| Cyclic: | no | |
| Abelian: | no | |
| Solvable: | yes | |
| GAP id: | [968, 38] |
| Character table: not available. |