# Category:Quaternion Group

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This category contains results about **Quaternion Group**.

Definitions specific to this category can be found in Definitions/Quaternion Group.

The dicyclic group $\Dic 2$ is known as the **quaternion group**.

The elements of $\Dic 2$ are:

- $\Dic 2 = \set {e, a, a^2, a^3, b, a b, a^2 b, a^3 b}$

## Subcategories

This category has only the following subcategory.

## Pages in category "Quaternion Group"

The following 23 pages are in this category, out of 23 total.

### C

### Q

- Quaternion Group has Normal Subgroup without Complement
- Quaternion Group is Hamiltonian
- Quaternion Group is Non-Abelian
- Quaternion Group not Dihedral Group
- Quaternion Group/Cayley Table
- Quaternion Group/Cayley Table/Coset Decomposition of (e, a^2)
- Quaternion Group/Complex Matrices
- Quaternion Group/Complex Matrices/Cayley Table
- Quaternion Group/Group Presentation
- Quaternion Group/Subgroup Generated by a^2/Quotient Group
- Quaternion Group/Subgroups
- Quaternions Defined by Matrices