Dicyclic Group

In group theory, a dicyclic group (notation Dicn) is a member of a class of non-abelian groups of order 4n (n > 1). It is an extension of the cyclic group of order 2 by a cyclic group of order 2n, giving the name di-cyclic. In the notation of exact sequences of groups, this extension can be expressed as:

More generally, given any finite abelian group with an order-2 element, one can define a dicyclic group.

Read more about Dicyclic Group:  Definition, Properties, Binary Dihedral Group, Generalizations

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