| Symbol | Property
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| A | symmetric with respect to rotation around the principal rotational axis (one dimensional representations)
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| B | anti-symmetric with respect to rotation around the principal rotational axis (one dimensional representations)
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| E | degenerate (German: entartet; two dimensional representations, e.g. in systems with higher order principal axes)
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| subscript 1 | symmetric with respect to a vertical mirror plane perpendicular to the principal axis
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| subscript 2 | anti-symmetric with respect to a vertical mirror plane perpendicular to the principal axis
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| subscript g | symmetric with respect to a center of symmetry (German: "gerade")
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| subscript u | anti-symmetric with respect to a center of symmetry (German: "ungerade)
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| prime (') | symmetric with respect to a mirror plane horizontal to the principal rotational axis
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| double prime ('') | anti-symmetric with respect to a mirror plane horizontal to the principal rotational axis
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