# Properties

 Label 1T1 Order $$1$$ n $$1$$ Cyclic Yes Abelian Yes Solvable Yes Primitive Yes $p$-group Yes Group: Trivial

# Related objects

## Group action invariants

 Degree $n$ : $1$ Transitive number $t$ : $1$ Group : Trivial CHM label : $Trivial group$ Parity: $1$ Primitive: Yes Generators: None needed $|\Aut(F/K)|$: $1$ Low degree resolvents: None

Degree 1 - None

## Low degree siblings

There is no other low degree representation.
A number field with this Galois group has no arithmetically equivalent fields.

## Conjugacy Classes

 Cycle Type Size Order Representative $1$ $1$ $1$ $()$

## Group invariants

 Order: $1$ Cyclic: Yes Abelian: Yes Solvable: Yes GAP id: [1, 1]
 Character table:  1 1 1a X.1 1