Cyclic group of order 9 White Sheet [Printable Version]

Subgroup Lattice	Element Lattice

Alternate Descriptions: (* Most common)

Name	Symbol(s)
* Cyclic	* C9, Z9
Abelian [9]

GAP ID: [9,1]
Magma ID:?

Standard Invariants:

Invariant	Value
Abelian	True
Nilpotent	True
Nilpotency Class	1
Ascending Central Series	[0,C9]
Descending Central Series	[C9,0]
Solvable	True
Composition Factors	{C3, C3}
Automorphism Group	C3