In group theory, the quaternion group is a non-abelian group of order eight, isomorphic to a certain eight-element subset of the quaternions under multiplication. It is often denoted by Q or Q8, and is given by the group presentation
where 1 is the identity element and −1 commutes with the other elements of the group.
Read more about Quaternion Group: Cayley Graph, Cayley Table, Properties, Matrix Representations, Galois Group, Generalized Quaternion Group
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“Just as a person who is always asserting that he is too good-natured is the very one from whom to expect, on some occasion, the coldest and most unconcerned cruelty, so when any group sees itself as the bearer of civilization this very belief will betray it into behaving barbarously at the first opportunity.”
—Simone Weil (1910–1943)