C4 x C2 White Sheet [Printable Version]

Subgroup Lattice	Element Lattice

Alternate Descriptions: (* Most common)

Name	Symbol(s)
* Abelian [4,2]	* C4 x C2

GAP ID: [8,2]
Magma ID:?

Standard Invariants:

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

Permutation Representations [Description]

Action Name	Degree	Generators	Stabilizer (Isomorphism Type)	Stabilizer (Genertors)	Primitivity Blocks
	[Description]		[Description]	[Description]	[Description]
Regular	8	(1234)(5678), (15)(26)(37)(48)	0	()	{1,2,3,4},{5,6,7,8}