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    Point Groups

    Finite groups with available data

    C1 | C_i | C2 | C_s | C3 | C2h | D2 | C2v | C4 | S4 | S6 | D3 | C3v | C6 | C3h | D2h | C4h | D4 | C4v | D2d | ... (total: 32)

    Crystallographic properties

    lattice system | all | cubic | hexagonal | monoclinic | orthorhombic | rhombohedral | tetragonal | triclinic
Bravais lattice | all | base-centered monoclinic | base orthorhombic | body-centered cubic | body-centered orthorhombic | centered tetragonal | face-centered cubic | face-centered orthorhombic | simple cubic | simple hexagonal | simple monoclinic | simple orthorhombic | simple tetragonal | simple triclinic | simple trigonal

    Group elements

     | element names
C1 | E
C_i | E | i
C2 | E | C_2
C_s | E | σ_h
C3 | E | C_3 | C_3^2
 | named generators | order
C1 | E | 1
C_i | i | 2
C2 | C_2 | 2
C_s | σ_h | 2
C3 | C_3 | 3

    Related groups

     | isomorphic groups
C1 | trivial group | 1st finite group of order 1 | alternating group of degree 1 | alternating group of degree 2 | cyclic group of order 1 | ...
C_i | inversion group | reflection group | 1st finite group of order 2 | C2 | C_s | ...
C2 | inversion group | reflection group | 1st finite group of order 2 | C_i | C_s | ...
C_s | inversion group | reflection group | 1st finite group of order 2 | C_i | C2 | ...
C3 | 1st finite group of order 3 | alternating group of degree 3 | cyclic group of order 3

    Common group theory properties

    nonperfect

    Associated people

    Johann F. C. Hessel

    Johann F. C. Hessel

    Johann F. C. Hessel

    Johann F. C. Hessel

    Johann F. C. Hessel

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