C 1 = { E } {\displaystyle C_{1}=\{E\}}
C S = { E , σ } {\displaystyle C_{S}=\{E,\sigma \}}
C i = { E , i } {\displaystyle C_{i}=\{E,i\}}
C 2 = { E , C 2 } {\displaystyle C_{2}=\{E,C_{2}\}}
C 3 = { E , C 3 , C 3 2 } {\displaystyle C_{3}=\{E,C_{3},C_{3}^{2}\}}
C 4 = { E , 2 C 4 , C 2 ( = C 4 2 ) } {\displaystyle C_{4}=\{E,2C_{4},C_{2}(=C_{4}^{2})\}}
S 4 = { E , C 2 , S 4 , S 4 3 } {\displaystyle S_{4}=\{E,C_{2},S_{4},S_{4}^{3}\}}
S 6 = { E , C 3 , C 3 2 , i , S 6 , S 6 5 } {\displaystyle S_{6}=\{E,C_{3},C_{3}^{2},i,S_{6},S_{6}^{5}\}}
C 2 v = { E , C 2 , σ v , σ v ′ } {\displaystyle C_{2v}=\{E,C_{2},\sigma _{v},\sigma _{v'}\}}
C 3 v = { E , 2 C 3 , 3 σ v } {\displaystyle C_{3v}=\{E,2C_{3},3\sigma _{v}\}}
C 4 v = { E , 2 C 4 , C 2 , 2 σ v , 2 σ d } {\displaystyle C_{4v}=\{E,2C_{4},C_{2},2\sigma _{v},2\sigma _{d}\}}
C 5 v = { E , 2 C 5 , C 5 2 , 5 σ v } {\displaystyle C_{5v}=\{E,2C_{5},C_{5}^{2},5\sigma _{v}\}}
C 6 v = { E , 2 C 6 , 2 C 3 , C 2 , 3 σ v , 3 σ d } {\displaystyle C_{6v}=\{E,2C_{6},2C_{3},C_{2},3\sigma _{v},3\sigma _{d}\}}
C ∞ v = { E {\displaystyle C_{\infty v}=\{E}
C 2 h = { E , C 2 , i , σ h } {\displaystyle C_{2h}=\{E,C_{2},i,\sigma _{h}\}}
C 3 h = { E , 2 C 3 , σ h , 2 S 3 } {\displaystyle C_{3h}=\{E,2C_{3},\sigma _{h},2S_{3}\}}
C 4 h = { E , 2 C 4 , C 2 , i , σ h , 2 S 4 } {\displaystyle C_{4h}=\{E,2C_{4},C_{2},i,\sigma _{h},2S_{4}\}}
D 2 = { E , 3 C 2 } {\displaystyle D_{2}=\{E,3C_{2}\}}
D 3 = { E , 2 C 3 , 3 C 2 } {\displaystyle D_{3}=\{E,2C_{3},3C_{2}\}}
D 2 h = { E , 3 C 2 , 3 σ v , i } {\displaystyle D_{2h}=\{E,3C_{2},3\sigma _{v},i\}}
D 3 h = { E , 2 C 3 , 3 C 2 , 3 σ v , σ h , 2 S 3 } {\displaystyle D_{3h}=\{E,2C_{3},3C_{2},3\sigma _{v},\sigma _{h},2S_{3}\}}
D 4 h = { E , 2 C 4 , C 2 , 2 C 2 ′ , 2 C 2 ″ , i , 2 S 4 , σ h , 2 σ v , 2 σ d } {\displaystyle D_{4h}=\{E,2C_{4},C_{2},2C_{2}^{'},2C_{2}^{''},i,2S_{4},\sigma _{h},2\sigma _{v},2\sigma _{d}\}}
D 5 h = { E , 2 C 5 , 2 C 5 2 , 5 C 2 , 2 S 5 , 2 S 5 2 , σ h , 5 σ v } {\displaystyle D_{5h}=\{E,2C_{5},2C_{5}^{2},5C_{2},2S_{5},2S_{5}^{2},\sigma _{h},5\sigma _{v}\}}
D 6 h = { E , 2 C 6 , 2 C 3 , C 2 , 3 C 2 ′ , 3 C 2 ″ , i , 2 S 6 , 2 S 3 , σ h , 3 σ v , 3 σ d } {\displaystyle D_{6h}=\{E,2C_{6},2C_{3},C_{2},3C_{2}^{'},3C_{2}^{''},i,2S_{6},2S_{3},\sigma _{h},3\sigma _{v},3\sigma _{d}\}}
D ∞ h = {\displaystyle D_{\infty h}=}
D 2 d = { E , 3 C 2 , 2 σ d , 2 S 4 } {\displaystyle D_{2d}=\{E,3C_{2},2\sigma _{d},2S_{4}\}}
D 3 d = { E , 2 C 3 , 3 C 2 , i , 3 σ d , 2 S 6 } {\displaystyle D_{3d}=\{E,2C_{3},3C_{2},i,3\sigma _{d},2S_{6}\}}
D 4 d = { E , 2 C 4 , C 2 , 2 C 2 ′ , 2 C 2 ″ , 2 S 8 , 2 S 8 3 , 4 σ d } {\displaystyle D_{4d}=\{E,2C_{4},C_{2},2C_{2}^{'},2C_{2}^{''},2S_{8},2S_{8}^{3},4\sigma _{d}\}}
D 5 d = { E , 2 C 5 , 2 C 5 2 , 5 C 2 , i , 2 S 10 , 2 S 10 3 , 5 σ d } {\displaystyle D_{5d}=\{E,2C_{5},2C_{5}^{2},5C_{2},i,2S_{10},2S_{10}^{3},5\sigma _{d}\}}