Categorisation by Class: Monoclinic

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Cubic			(T Th O Td Oh)
Tetragonal			(C4 S4 C4h D4 C4v D2d D4h)
Orthorhombic			(D2 C2v D2h)
Monoclinic
Operations	Order	Schönflies Symbol	International Symbol	Full Symmetry Symbol	Correlation Table	Irred. Rep. products	× i	Isomorph. with
E, C2	2	C2	2	2		⊗	C2h	Cs, Ci
E, σh	2	Cs(C1h)	m	m		⊗	C2h	C2, Ci
E, C2, i, σh	4	C2h	2/m			⊗	C2h	D2, C2v
Monoclinic symmetry for defects in cubic crystals is often divided into two types: Type I: C2 coincides with <110> or σh with (110) Type II: C2 coincides with <100> or σh with (100)
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.