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E
C1
E, C2
C2
E, C3, C32
C3
E, C4, C2, C43
C4
E, C5, C52, C53, C54
C5
E, C6, C3, C2, C32, C65
C6
E, C7, C72, C73, C74, C75, C76
C7
E, C8, C4, C83, C2, C85, C43, C87
C8
E, C2(z), C2(y), C2(x)
D2
E, 2C3(z), 3C2'
D3
E, 2C4(z), C2(z), 2C2', 2C2''
D4
E, 2C5(z), 2C52, 5C2'
D5
E, 2C6(z), 2C3(z), C2(z), 3C2', 3C2''
D6
E, 2C7, 2C72, 2C73, 7C2'
D7
E, 2C8, 2C4, 2C83, C2, 4C2', 4C2''
D8
E, C2(z), σv(xz), σv(yz)
C2v
E, 2C3(z), 3σv
C3v
E, 2C4(z), C2(z), 2σv, 2σd
C4v
E, 2C5(z), 2C52, 5σv
C5v
E, 2C6(z), 2C3(z), C2(z), 3σv, 3σd
C6v
E, 2C7, 2C72, 2C73, 7σv
C7v
E, 2C8, 2C4, 2C83, C2, 4σv, 4σd
C8v
E, σh
Cs
E, i
Ci
E, C2(z), i, σh
C2h
E, C3(z), C32, σh, S35, S3
C3h
E, C4(z), C2, C43, i, S43, σh, S4
C4h
E, C5, C52, C53, C54, σh, S59, S57, S53, S5
C5h
E, C6(z), C3, C2, C32, C65, i, S65, σh, S35, S3, S6
C6h
E, C2(z), C2(y), C2(x), i, σ(xy), σ(xz), σ(yz)
D2h
E, 2C3(z), 3C2', σh(xy), 2S3, 3σv
D3h
E, 2C4(z), C2(z), 2C2', 2C2'', i, 2S4, σh, 2σd, 2σv
D4h
E, 2C5(z), 2C52, 5C2', σh, 2S5, 2S53, 5σv
D5h
E, 2C6(z), 2C3(z), C2(z), 3C2', 3C2'', i, 2S6, 2S3, σh, 3σd, 3σv
D6h
E, 2C7, 2C72, 2C73, 7C2', σh, 2S7, 2S75, 2S73, 7σv
D7h
E, 2C8, 2C4, 2C83, C2, 4C2', 4C2'', i, 2S8, 2S4, σh, 2S83, 4σd, 4σv
D8h
E, 2C2', C2(z), 2S4, 2σd
D2d
E, 2C3, 3C2', i, 2S6, 3σd
D3d
E, 2C4, 4C2', C2, 2S8, 2S83, 4σd
D4d
E, 2C5, 2C52, 5C2', i, 2S10, 2S103, 5σd
D5d
E, 2C6, 2C3, 6C2', C2, 2S12, 2S125, 2S4, 6σd
D6d
E, 2C7, 2C72, 2C73, 7C2', i, 2S14, 2S143, 2S145, 7σd
D7d
E, 2C8, 2C4, 2C83, 8C2', C2, 2S16, 2S163, 2S165, 2S167, 8σd
D8d
E, S4, S43, C2
S4
E, C3, C32, i, S6, S65
S6
E, S8, S83, S85, S87, C2, C4, C43
S8
E, C5, C52, C53, C54, i, S10, S109, S103, S107
S10
E, S12, S1211, S125, S127, S4, S43, C2, C6, C65, C32, C3
S12
E, 4C3, 4C32, 3C2
T
E, 4C3, 4C32, 3C2, i, 4S65, 4S6, 3σh
Th
E, 8C3, 3C2, 6S4, 6σd
Td
E, 8C3, 3C2 (= 3C42), 6C2', 6C4
O
E, 8C3, 3C2 (= 3C42), 6C2', 6C4, i, 6S4, 8S6, 3σh, 6σd
Oh
E, 12C5, 12C52, 20C3, 15C2
I
E, 12C5, 12C52, 20C3, 15C2, i, 12S10, 12S103, 20S6, 15σ
Ih
E, 2C∞, ..., ∞σv
C∞v
E, 2C∞, ..., ∞σv, i, 2S∞, ..., ∞C2'
D∞h