Cyclic group of order p White Sheet

[Class] | [Family] | Samples by Order: [8], [27].

Let p be any prime.

Subgroup Lattice

Alternate Descriptions: (* Most common)

Name	Symbol(s)
Extraspecial	(Cp x Cp) * Cp

GAP ID:?
Magma ID:?

Standard Invariants:

Invariant	Value
Abelian	False
Nilpotent	True
Nilpotency Class	2
Ascending Central Series	[0, Cp, (Cp x Cp) * Cp]
Descending Central Series	[(Cp x Cp) * Cp, Cp, 0]
Solvable	True
Composition Factors	{Cp, Cp, Cp}
Automorphism Group	?