Atkins, de Paula & Friedman: Quanta, Matter, and Change

Group theory tables

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

Download the complete PDF file containing all of 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:

The Groups C₁, C_s, C_i
The Groups C_n (n = 2, 3, …, 8)
The Groups D_n (n = 2, 3, 4, 5, 6)
The Groups C_n v (n = 2, 3, 4, 5, 6)
The Groups C_n h (n = 2, 3, 4, 5, 6)
The Groups D_n h (n = 2, 3, 4, 5, 6)
The Groups D_n d (n = 2, 3, 4, 5, 6)
The Groups S_n (n = 4, 6, 8)
The Cubic Groups: T, T_d, T_h; O, O h
The Groups I, I_h
The Groups C∞v and D∞h
The Full Rotation Group (SU₂ and R₃)

Direct Products:

General Rules
C₂, C₃, C₆, D₃, D₆, C_2v, C_3v, C_6v, C_2h, C_3h, C_6h, D _3h, D_6h, D_3d, S₆
D₂, D_2h
C₄, D₄, C_4v, C_4h, D_4h, D_2d, S₄
C₅, D₅, C_5v, C_5h, D_5h, D_5d
D_4d, S₈
T, O, T_h, O_0h, T_d
D_6d
I, I_h
C_∞v, D_∞h
The Full Rotation Group (SU₂ and R₃)

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

Descent in symmetry and subgroups

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Oxford University Press, Online Resource Centre, Group theory tables.

Group theory tables