View source for Dicyclic group

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A [[finite group]] of order $4n$, obtained as the extension of the cyclic group of order $2$ by a cyclic group of order $2n$.  It has the presentation $\langle n,2,2 \rangle$ and [[group presentation]]
$$
A^n = B^2 = (AB)^2 \ .
$$
It may be realised as a subgroup of the [[unit quaternion]]s.  

The dicyclic group $n=2$ is the [[quaternion group]] of order $8$.

==References==
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<TR><TD valign="top">[a1]</TD> <TD valign="top">  H.S.M. Coxeter,   "Regular complex polytopes" , Cambridge Univ. Press  (1974) ISBN 0-521-20125-X  {{ZBL|0732.51002}}</TD></TR>
</table>