dihedral group of order 6

- group, ∞-group
- group object, group object in an (∞,1)-category
- abelian group, spectrum
- group action, ∞-action
- representation, ∞-representation
- progroup
- homogeneous space

The dihedral group of order 6 – $D_6$

and

the binary dihedral group of order 12 – $2 D_{12}$

correspond to the Dynkin label D5 in the ADE-classification.

$D_6$ is isomorphic to the symmetric group on 3 elements

$D_6 \simeq S_3
\,.$

These are the smallest non-abelian groups.

**ADE classification** and **McKay correspondence**

For $D_6$:

- group names,
*S3*

For $2 D_6$

- group names,
*Dic3*

See also

- Wikipedia,
*Dihedral group of order 6*

Last revised on August 29, 2019 at 08:34:59. See the history of this page for a list of all contributions to it.