None
Resolvents shown for degrees $\leq 47$
Prime degree - none
There are no siblings with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.
| Cycle Type | Size | Order | Representative |
| $ 1, 1 $ |
$1$ |
$1$ |
$()$ |
| $ 2 $ |
$1$ |
$2$ |
$(1,2)$ |
| Character table:
| |
2 1 1
1a 2a
2P 1a 1a
X.1 1 -1
X.2 1 1
|
|
Complete
list of indecomposable integral representations:
| Name | Dim |
$(1,2) \mapsto $ |
|---|
| Triv | $1$ |
$\left(\begin{array}{r}1\end{array}\right)$ |
| Sign | $1$ |
$\left(\begin{array}{r}-1\end{array}\right)$ |
| $L$ | $2$ |
$\left(\begin{array}{rr}0 & 1\\1 & 0\end{array}\right)$ |
|
The decomposition of an arbitrary integral representation as a direct
sum of indecomposables is unique.
