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)

D2

D3

D4

D2d

D2h

D5

D6

D3d

D3h

D7

| 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

| 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

nonalternating | noncyclic | nonperfect | nonsimple | nonsporadic | solvable