Symmetry Pages

Categorisation by Class: Triclinic

Symmetry Pages

Cubic (T Th O Td Oh)
Tetragonal (C4 S4 C4h D4 C4v D2d D4h)
Orthorhombic (D2 C2v D2h)
Monoclinic (C2 Cs C2h)
Triclinic
Operations Order Schönflies
Symbol
International
Symbol
Full
Symmetry
Symbol
Correlation
Table
Irred. Rep.
products
× i Isomorph.
with
E 1 C1 1 1   Ci
E, i 2 Ci(S2) -1 -1   Ci Cs, C2
Trigonal (C3 S6 D3 C3v D3d)
Hexagonal (C6 C3h C6h D6 C6v D3h D6h)
Non-crystallographic (C Ch Cv Dh C5 S8 D5 C5v C5h D4d D5d D5h D6d I Ih)
All

This table lists point group symmetries along with their symmetry operations, the order of the group (i.e. the number of symmetry operations) and common notations.maps to symbollinks to a correlation table, and ⊗ links to tables of products of irreducible representations. The group produced by combination with inversion is listed under "× i". This, in the case of crystolographic point groups, is the Laue class which corresponds to the symmetry of reciprocal space. Isomorphic groups are also listed where character tables are available.

Revised: © University of Newcastle upon Tyne, UK