Wired Chemist

and D_∞h for Linear Molecules

C∞v	E	2C∞Φ	...	∞σv
A1/Σ+	1	1	...	1	z	x2 + y2, z2
A2/Σ-	1	1	...	-1	Rz
E1/Π	2	2cosΦ	...	0	(x, y)(Rx, Ry)	(xz, yz)
E2/Δ	2	2cos2Φ	...	0		(x2 - y2, xy)
E3/Φ	2	2cos3Φ	...	0
...	...	...	...	...

D∞h	E	2C∞Φ	...	∞σv	i	2S∞Φ	...	∞C2
Σg+	1	1	...	1	1	1	...	1		x2 + y2, z2
Σg-	1	1	...	-1	1	1	...	-1	Rz
Πg	2	2cosΦ	...	0	2	-2cosΦ	...	0	(Rx, Ry)	(xz, yz)
Δg	2	2cos2Φ	...	0	2	2cosΦ	...	0		(x2 - y2, xy)
...	...	...	...	...	...	...	...	...
Σu+	1	1	...	1	-1	-1	...	-1	z
Σu-	1	1	...	-1	-1	-1	...	1
Πu	2	2cosΦ	...	0	-2	2cosΦ	...	0	(x, y)
Δu	2	2cos2Φ	...	0	-2	-2cosΦ	...	0
...	...	...	...	...	...	...	...	...

Reference: F.A. Cotton, "Chemical Applications of Group Theory," 3rd ed., Wiley-Interscience, NY, 1990.