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Shriver & Atkins: Inorganic Chemistry 4e

Tables for Group Theory

Comprehensive group theory tables are available for downloading as a complete PDF file or separately, via the links below.

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This provides the essential tables (character tables, direct products, descent in symmetry and subgroups) required for those using group theory, together with general formulae, examples, and other relevant information.

Character Tables:
  1. The Groups C1, Cs, Ci
  2. The Groups Cn (n = 2, 3, …, 8)
  3. The Groups Dn (n = 2, 3, 4, 5, 6)
  4. The Groups Cn v (n = 2, 3, 4, 5, 6)
  5. The Groups Cn h (n = 2, 3, 4, 5, 6)
  6. The Groups Dn h (n = 2, 3, 4, 5, 6)
  7. The Groups Dn d (n = 2, 3, 4, 5, 6)
  8. The Groups Sn (n = 4, 6, 8)
  9. The Cubic Groups: T, Td, Th; O, O h
  10. The Groups I, Ih
  11. The Groups C∞v and D∞h
  12. The Full Rotation Group (SU2 and R3)

Direct Products:
  1. General Rules
  2. C2, C3, C6, D3, D6, C2v, C3v, C6v, C2h, C3h, C6h, D 3h, D6h, D3d, S6
  3. D2, D2h
  4. C4, D4, C4v, C4h, D4h, D2d, S4
  5. C5, D5, C5v, C5h, D5h, D5d
  6. D4d, S8
  7. T, O, Th, O0h, Td
  8. D6d
  9. I, Ih
  10. C∞v, D∞h
  11. The Full Rotation Group (SU2 and R3)

The extended rotation groups (double groups) character tables and direct product table

Descent in symmetry and subgroups