groups of small order
Below is a list of all possible groups per order up to isomorphism.
Groups of prime order:
All groups of prime order are isomorphic to a cyclic group of that order.
Groups of prime square order:
Groups of order 1:
trivial group (i.e. ).
Groups of order 8:
Groups of order 10:
(Abelian): cyclic group of order 10.
(non-Abelian): dihedral group of degree 5.
Groups of order 12:
Groups of order 14:
(Abelian): cyclic group of order 14.
(non-Abelian): dihedral group of degree 7.
Groups of order 15:
(Abelian): cyclic group of order 15.
- PJ Pedersen, John: Groups of small order. http://www.math.usf.edu/ eclark/algctlg/small_groups.htmlhttp://www.math.usf.edu/ eclark/algctlg/small_groups.html
|Title||groups of small order|
|Date of creation||2013-03-22 14:47:54|
|Last modified on||2013-03-22 14:47:54|
|Last modified by||Daume (40)|