Categorisation by Class: Orthorhombic

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Cubic			(T Th O Td Oh)
Tetragonal			(C4 S4 C4h D4 C4v D2d D4h)
Orthorhombic
Operations	Order	Schönflies Symbol	International Symbol	Full Symmetry Symbol	Correlation Table	Irred. Rep. products	× i	Isomorph. with
E, C2, C2’, C2’’	4	D2(V)	222	222		⊗	D2h	C2v, C2h
E, C2, σv, σv’	4	C2v	mm2	mm2		⊗	D2h	D2, C2h
E, C2, C2’, C2’’, i, σ, σ’, σ’’	8	D2h(Vh)	mmm			⊗	D2h
Rhombic symmetry for defects in cubic crystals is often pided into two types: Type I: C2 coincides with the [110] direction and C2’ and C2’’ with [001] and [1-10] directions respectively (or, σv and σv’ coincide with the planes (1-10) and (001)). Also belonging to type I are centres for which C2 coincides with [001] and σv and σv’ with (110) and (1-10). Type II: C2 axis coincides with [001] and the axes C2’ and C2’’ with [100] and [010], (or, alternatively, σv and σv’ coincide with (010) and (100)).
Monoclinic			(C2 Cs C2h)
Triclinic			(C1 Ci)
Trigonal			(C3 S6 D3 C3v D3d)
Hexagonal			(C6 C3h C6h D6 C6v D3h D6h)
Non-crystallographic			(C∞ C∞h C∞v D∞h 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.links 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.