Chemistry Reference
In-Depth Information
Table 5 Multiplication table of the molecular symmetry group
G
16
E
(11
0
88
0
)(99
0
)
(18
0
81
0
)(99
0
)
(18)(1
0
8
0
)
(11
0
)(88
0
)(99
0
)
(18
0
)(81
0
)(99
0
)
(
0
8
0
)
(11
0
88
0
)(99
0
)*
(18
0
81
0
)(99
0
)*
(18)(1
0
8
0
)*
(11
0
)(88
0
)(99
0
)*
(18
0
)(81
0
)(99
0
)*
(1
0
8
0
)*
(1 )
E
*
(18)*
E
(11
0
88
0
)(99
0
)
(18
0
81
0
)(99
0
)
(18)(1
0
8
0
)
(11
0
)(88
0
)(99
0
)
(18
0
)(81
0
)(99
0
)
(1 )
(
0
8
0
)
E
*
(11
0
88
0
)(99
0
)*
(18
0
81
0
)(99
0
)*
(18)(1
0
8
0
)*
(11
0
)(88
0
)(99
0
)*
(18
0
)(81
0
)(99
0
)*
(18)*
(1
0
8
0
)*
(11
0
88
0
)(99
0
)
(18)(1
0
8
0
)
(18
0
81
0
)(99
0
)
(1
0
8
0
)
(11
0
)(88
0
)(99
0
)
(18
0
)(81
0
)(99
0
)
(11
0
88
0
)(99
0
)*
(18)(1
0
8
0
)*
(18
0
81
0
)(99
0
)*
(1
0
8
0
)*
(11
0
)(88
0
)(99
0
)*
(18
0
)(81
0
)(99
0
)*
E
(1 8)
E
*
(18)*
(18
0
81
0
)(99
0
)
E
(18)(1
0
8
0
)
(11
0
88
0
)(99
0
)
(1 8)
(1
0
8
0
)
(18
0
)(81
0
)(99
0
)
(11
0
)(88
0
)(99
0
)
(18
0
81
0
)(99
0
)*
E
*
(18)(1
0
8
0
)*
(11
0
88
0
)(99
0
)*
(18)*
(1
0
8
0
)*
(18
0
)(81
0
)(99
0
)*
(11
0
)(88
0
)(99
0
)*
(18)(1
0
8
0
)
(18
0
81
0
)(99
0
)
(11
0
88
0
)(99
0
)
(18
0
)(81
0
)(99
0
)
(11
0
)(88
0
)(99
0
)
(
0
8
0
)
(18)(1
0
8
0
)*
(18
0
81
0
)(99
0
)*
(11
0
88
0
)(99
0
)*
(18
0
)(81
0
)(99
0
)*
(11
0
)(88
0
)(99
0
)*
(1
0
8
0
)*
E
(1 8)
E
*
(18)*
(11
0
)(88
0
)(99
0
)
(1 )
(
0
8
0
)
(18
0
)(81
0
)(99
0
)
E
(18)(1
0
8
0
)
(11
0
88
0
)(99
0
)
(18
0
81
0
)(99
0
)
(11
0
)(88
0
)(99
0
)*
(18)*
(1
0
8
0
)*
(18
0
)(81
0
)(99
0
)*
E
*
(18)(1
0
8
0
)*
(11
0
88
0
)(99
0
)*
(18
0
81
0
)(99
0
)*
(18
0
)(81
0
)(99
0
)
(
0
8
0
)
(11
0
)(88
0
)(99
0
)
(18)(1
0
8
0
)
(18
0
81
0
)(99
0
)
(11
0
88
0
)(99
0
)
(18
0
)(81
0
)(99
0
)*
(1
0
8
0
)*
(11
0
)(88
0
)(99
0
)*
(18)(1
0
8
0
)*
(18
0
81
0
)(99
0
)*
(11
0
88
0
)(99
0
)*
(1 8)
E
(18)*
E
*
(1 8)
(18
0
)(81
0
)(99
0
)
(11
0
)(88
0
)(99
0
)
(
0
8
0
)
(18
0
81
0
)(99
0
)
(11
0
88
0
)(99
0
)
E
(18)(1
0
8
0
)
(18)*
(18
0
)(81
0
)(99
0
)*
(11
0
)(88
0
)(99
0
)*
(1
0
8
0
)*
(18
0
81
0
)(99
0
)*
(11
0
88
0
)(99
0
)*
E
*
(18)(1
0
8
0
)*
(1
0
8
0
)
(11
0
)(88
0
)(99
0
)
(18
0
)(81
0
)(99
0
)
(11
0
88
0
)(99
0
)
(18
0
81
0
)(99
0
)
(18)(1
0
8
0
)
(1
0
8
0
)*
(11
0
)(88
0
)(99
0
)*
(18
0
)(81
0
)(99
0
)*
(11
0
88
0
)(99
0
)*
(18
0
81
0
)(99
0
)*
(18)(1
0
8
0
)*
(1 8)
E
(18)*
E
*
E
*
(11
0
88
0
)(99
0
)*
(18
0
81
0
)(99
0
)*
(18)(1
0
8
0
)*
(11
0
)(88
0
)(99
0
)*
(18
0
)(81
0
)(99
0
)*
(18)*
(1
0
8
0
)*
E
(11
0
88
0
)(99
0
)
(18
0
81
0
)(99
0
)
(18)(1
0
8
0
)
(11
0
)(88
0
)(99
0
)
(18
0
)(81
0
)(99
0
)
(1 )
(
0
8
0
)
(11
0
88
0
)(99
0
)*
(18)(1
0
8
0
)*
(18
0
81
0
)(99
0
)*
(1
0
8
0
)*
(11
0
)(88
0
)(99
0
)*
(18
0
)(81
0
)(99
0
)*
(11
0
88
0
)(99
0
)
(18)(1
0
8
0
)
(18
0
81
0
)(99
0
)
(1
0
8
0
)
(11
0
)(88
0
)(99
0
)
(18
0
)(81
0
)(99
0
)
E
*
(18)*
E
(1 8)
(18
0
81
0
)(99
0
)*
E
*
(18)(1
0
8
0
)*
(11
0
88
0
)(99
0
)*
(18)*
(1
0
8
0
)*
(18
0
)(81
0
)(99
0
)*
(11
0
)(88
0
)(99
0
)*
(18
0
81
0
)(99
0
)
E
(18)(1
0
8
0
)
(11
0
88
0
)(99
0
)
(1 8)
(1
0
8
0
)
(18
0
)(81
0
)(99
0
)
(11
0
)(88
0
)(99
0
)
(18)(1
0
8
0
)*
(18
0
81
0
)(99
0
)*
(11
0
88
0
)(99
0
)*
E
*
(18
0
)(81
0
)(99
0
)*
(11
0
)(88
0
)(99
0
)*
(1
0
8
0
)*
(18)(1
0
8
0
)
(18
0
81
0
)(99
0
)
(11
0
88
0
)(99
0
)
E
(18
0
)(81
0
)(99
0
)
(11
0
)(88
0
)(99
0
)
(
0
8
0
)
(18)*
(1 8)
(11
0
)(88
0
)(99
0
)*
(18)*
(1
0
8
0
)*
(18
0
)(81
0
)(99
0
)*
E
*
(18)(1
0
8
0
)*
(11
0
88
0
)(99
0
)*
(18
0
81
0
)(99
0
)*
(11
0
)(88
0
)(99
0
)
(1 )
(
0
8
0
)
(18
0
)(81
0
)(99
0
)
E
(18)(1
0
8
0
)
(11
0
88
0
)(99
0
)
(18
0
81
0
)(99
0
)
(18
0
)(81
0
)(99
0
)*
(1
0
8
0
)*
(18)*
(11
0
)(88
0
)(99
0
)*
(18)(1
0
8
0
)*
E
*
(18
0
81
0
)(99
0
)*
(11
0
88
0
)(99
0
)*
(18
0
)(81
0
)(99
0
)
(
0
8
0
)
(1 8)
(11
0
)(88
0
)(99
0
)
(18)(1
0
8
0
)
E
(18
0
81
0
)(99
0
)
(11
0
88
0
)(99
0
)
(18)*
(18
0
)(81
0
)(99
0
)*
(11
0
)(88
0
)(99
0
)*
(1
0
8
0
)*
(18
0
81
0
)(99
0
)*
(11
0
88
0
)(99
0
)*
E
*
(18)(1
0
8
0
)*
(1 8)
(18
0
)(81
0
)(99
0
)
(11
0
)(88
0
)(99
0
)
(
0
8
0
)
(18
0
81
0
)(99
0
)
(11
0
88
0
)(99
0
)
E
(18)(1
0
8
0
)
(1
0
8
0
)*
(11
0
)(88
0
)(99
0
)*
(18
0
)(81
0
)(99
0
)*
(18)*
(11
0
88
0
)(99
0
)*
(18
0
81
0
)(99
0
)*
(18)(1
0
8
0
)*
E
*
(1
0
8
0
)
(11
0
)(88
0
)(99
0
)
(18
0
)(81
0
)(99
0
)
(1 8)
(11
0
88
0
)(99
0
)
(18
0
81
0
)(99
0
)
(18)(1
0
8
0
)
E