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Dihedral Group

Finite groups with available data

dihedral group of order 2 | dihedral group of order 4 | dihedral group of order 6 | dihedral group of order 8 | dihedral group of order 10 | dihedral group of order 12 | dihedral group of order 14 | dihedral group of order 16 | dihedral group of order 18 | dihedral group of order 20 | dihedral group of order 22 | dihedral group of order 24 | dihedral group of order 26 | dihedral group of order 28 | dihedral group of order 30 (total: 15)

Group elements

| element names dihedral group of order 2 | 1 | s dihedral group of order 4 | 1 | r | s | r ∘ s dihedral group of order 6 | 1 | r | r^2 | s | r ∘ s | r^2 ∘ s dihedral group of order 8 | 1 | r | r^2 | r^3 | s | r ∘ s | r^2 ∘ s | r^3 ∘ s dihedral group of order 10 | 1 | r | r^2 | r^3 | r^4 | s | r ∘ s | r^2 ∘ s | r^3 ∘ s | r^4 ∘ s | named generators | order dihedral group of order 2 | s | s | 2 dihedral group of order 4 | r | s | 4 dihedral group of order 6 | r | s | 6 dihedral group of order 8 | r | s | 8 dihedral group of order 10 | r | s | 10

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 group | 2nd finite group of order 4 | direct product Z_2 × Z_2 | C2h | D2 | ... dihedral group of order 6 | 2nd finite group of order 6 | projective special linear group PSL(2, 2) | projective symplectic group PSp(2, 2) | symmetric group of degree 3 dihedral group of order 8 | 4th finite group of order 8 | D4 | C4v | D2d dihedral group of order 10 | 2nd finite group of order 10 | Abelian decomposition dihedral group of order 4 | direct product Z_2 × Z_2

Common group theory properties

nonalternating | noncyclic | nonperfect | nonsimple | nonsporadic | solvable | transitive

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