Cyclic group of order 4 White Sheet [Printable Version]

Subgroup Lattice	Element Lattice

Alternate Descriptions: (* Most common)

Name	Symbol(s)
* Cyclic	* C4, Z4
Abelian [4]

GAP ID: [4,1]
Magma ID:?

Standard Invariants:

Invariant	Value
Abelian	True
Nilpotent	True
Nilpotency Class	1
Ascending Central Series	[0,C4]
Descending Central Series	[C4,0]
Solvable	True
Composition Factors	{C2, C2}
Automorphism Group	C2

Permutation Representations [Description]

Action Name	Degree	Generators	Stabilizer (Isomorphism Type)	Stabilizer (Genertors)	Primitivity Blocks
	[Description]		[Description]	[Description]	[Description]
Regular	4	(1234)	0	()	{1,3},{2,4}