Quaternion Group - Cayley Graph

The Q8 group has the same order as the Dihedral group, D4, but a different structure, as shown by their Cayley graphs:

Cayley graph

Q8
The red arrows represent multiplication on the right by i, and the green arrows represent multiplication on the right by j.

D4
Dihedral group

Read more about this topic:  Quaternion Group

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