Galois group: 1T1

• Label: 1T1
• Order: \(1\)
• n: \(1\)
• 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:		$0$
Generators:		None needed
$|\Aut(F/K)|$:		$1$

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