Semidihedral group
From Groupprops
Revision as of 17:42, 19 July 2010 by Vipul (talk | contribs) (Created page with '==Definition== Let <math>n</math> be a natural number greater than or equal to <math>4</math>. The '''semidihedral group''' of order <math>2^n</math> (and '''degree''' <math...')
Definition
Let be a natural number greater than or equal to
. The semidihedral group of order
(and degree
), denoted
, is defined by the following presentation:
(here, is the symbol for the identity element).
Particular cases
![]() |
![]() |
![]() |
![]() |
Group |
---|---|---|---|---|
4 | 16 | 3 | 8 | semidihedral group:SD16 |
5 | 32 | 4 | 16 | semidihedral group:SD32 |
6 | 64 | 5 | 32 | semidihedral group:SD64 |
7 | 128 | 6 | 64 | semidihedral group:SD128 |