Galois group: 1T1

• Label: 1T1
• Degree: $1$
• Order: $1$
• Cyclic: yes
• Abelian: yes
• Solvable: yes
• Primitive: yes
• $p$-group: yes
• Group: Trivial

Group action invariants

Degree $n$:		$1$
Transitive number $t$:		$1$
Group:		Trivial
CHM label:		$Trivial group$
Parity:		$1$
Primitive:		yes
Nilpotency class:		$0$
$|\Aut(F/K)|$:		$1$
Generators:		None needed

Low degree resolvents

none

Resolvents shown for degrees $\leq 47$

Subfields

Degree 1 - None

Low degree siblings

There are no siblings with degree $\leq 47$

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:

1a X.1 1