Dihedral Group of order 16

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Copyright (c) 2003-2004 James B. Wilson

Dihedral Group of order 16 White Sheet [Printable Version]

Subgroup Lattice

$D_{16}$

Element Lattice

$D_{16}$

Conjugated Poset

$D_{16}$

Alternate Descriptions: (* Most common)

Name Symbol(s)

* Dihedral * D16, D8

GAP ID: [16,7]
Magma ID:?

Standard Invariants:

Invariant Value

Abelian False

Nilpotent True

Nilpotency Class 3

Ascending Central Series [0, C2, C4, D16]

Descending Central Series [D16, C4, C2, 0]

Solvable True

Composition Factors {C2, C2, C2, C2}

Automorphism Group ??

Invariant	Value
Abelian	False
Nilpotent	True
Nilpotency Class	3
Ascending Central Series	[0, C2, C4, D16]
Descending Central Series	[D16, C4, C2, 0]
Solvable	True
Composition Factors	{C2, C2, C2, C2}
Automorphism Group	??