The dihedral group D₈

Hover to preview a permutation; click to queue a multiplication.

Group

Left multiply by

Action gx xg gxg⁻¹

Net transformation

x ↦ x

Status

Ready

Show Cayley graph

Cayley graph

Arrows show x ↦ xg right x ↦ gx left

Displayed elements

No elements selected.

The selected elements need not generate the whole group.

Created by Sebastian Bozlee, Wake Forest University — bozlees@wfu.edu

Developed in collaboration with ChatGPT and Claude. Released under the MIT License.