Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Dihedral Group

    Finite groups with available data

    dihedral group of order 2 | dihedral group of order 4 | point group D_2 | dihedral group of order 6 | point group D_3 | dihedral group of order 8 | point group D_4 | point group D_2d | point group D_2h | dihedral group of order 10 | point group D_5 | dihedral group of order 12 | point group D_6 | point group D_3d | point group D_3h | dihedral group of order 14 | point group D_7 | dihedral group of order 16 | point group D_8 | point group D_4d | ... (total: 42)

    Group elements

     | element names
dihedral group of order 2 | 1 | s
dihedral group of order 4 | 1 | r | s | r ∘ s
point group D_2 | E | C_2(z) | C_2(y) | C_2(x)
dihedral group of order 6 | 1 | r | r^2 | s | r ∘ s | r^2 ∘ s
point group D_3 | E | C_3 | C_3^2 | C_2(1) | C_2(2) | C_2(3)
 | named generators | order
dihedral group of order 2 | s | 2
dihedral group of order 4 | r | s | 4
point group D_2 | C_2(z) | C_2(y) | 4
dihedral group of order 6 | r | s | 6
point group D_3 | | 6

    Related groups

     | isomorphic groups
dihedral group of order 2 | inversion group | reflection group | 1st finite group of order 2 | C_i | C2 | ...
dihedral group of order 4 | vierergruppe | 2nd finite group of order 4 | abelian group Z_2 × Z_2 | C(2h) | D2 | ...
point group D_2 | vierergruppe | 2nd finite group of order 4 | abelian group Z_2 × Z_2 | C(2h) | C(2v) | ...
dihedral group of order 6 | 2nd finite group of order 6 | Chevalley group of type B1 over a field with 2 elements | D3 | C(3v) | point group C_3v | ...
point group D_3 | 2nd finite group of order 6 | Chevalley group of type B1 over a field with 2 elements | D3 | C(3v) | dihedral group of order 6 | ...
 | Abelian decomposition
dihedral group of order 4 | abelian group Z_2 × Z_2
point group D_2 | abelian group Z_2 × Z_2

    Common group theory properties

    nonalternating | noncyclic | nonperfect | nonsimple | nonsporadic | solvable

    Find the right fit or it’s free.

    We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.