Elementary Abelian group of order 4 White Sheet [Printable Version]

Subgroup Lattice	Element Lattice

Alternate Descriptions: (* Most common)

Name	Symbol(s)
* Veer Klein	* C2 x C2, Z2 x Z2 V4, K4
Abelian [2,2]
Elementary Abelian	EA(4)

GAP ID: [4,2]
Magma ID:?

Standard Invariants:

Invariant	Value
Abelian	True
Nilpotent	True
Nilpotency Class	1
Ascending Central Series	[0, C2 x C2]
Descending Central Series	[C2 x C2, 0]
Solvable	True
Composition Factors	{C2, C2}
Automorphism Group	GL2(2)

Permutation Representations [Description]

Action Name	Degree	Generators	Stabilizer (Isomorphism Type)	Stabilizer (Genertors)	Primitivity Blocks
	[Description]		[Description]	[Description]	[Description]
Regular	4	(12)(34), (13)(24)	0	()	{1,3},{2,4}