Quaternionic Group of order 16

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Copyright (c) 2003-2004 James B. Wilson

Quaternionic Group of order 16 White Sheet [Printable Version]

Subgroup Lattice

$Q_{16}$

Element Lattice

$Q_{16}$

Conjugated Poset

$Q_{16}$

Alternate Descriptions: (* Most common)

Name Symbol(s)

* Quaternion * Q16

GAP ID: [16,9]
Magma ID:?

Standard Invariants:

Invariant Value

Abelian False

Nilpotent True

Nilpotency Class 2

Ascending Central Series [0, C4, Q16]

Descending Central Series [Q16, C4, 0]

Solvable True

Composition Factors {C2, C2, C2, C2}

Automorphism Group ??

Invariant	Value
Abelian	False
Nilpotent	True
Nilpotency Class	2
Ascending Central Series	[0, C4, Q16]
Descending Central Series	[Q16, C4, 0]
Solvable	True
Composition Factors	{C2, C2, C2, C2}
Automorphism Group	??