C1 | C_i | C2 | C_s | C3 | C(2h) | D2 | C(2v) | C4 | S4 | S6 | D3 | C(3v) | C6 | C(3h) | D(2h) | C(4h) | D4 | C(4v) | D(2d) | ... (total: 32)

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

| 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

| 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 | point group C_3 | 1st finite group of order 3 in the SmallGroups library

nonperfect | nonsporadic | solvable

Johann F. C. Hessel

Johann F. C. Hessel

Johann F. C. Hessel

Johann F. C. Hessel

Johann F. C. Hessel