The five non-simple groups—dubbed“exceptional” in their complexity and symmetry—are harder to envisage and, for almost 120 years, the details of the mostintricate of these have lain beyond reach.

五族非平凡群具有复杂性和对称性的特例，也更加难于预测。 其中复杂部分的细节问题已经困扰了人们近120年。

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Characters of symmetry groups is a powerful maths instrument, it is very significative to study and bring forward its simple computation method.

对称群特征标是有力的数学工具，研究并提出其简单计算方法是很有意义的。

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The present paper discussed some possible translational types in detail, and derived the elements of the pseudo-symmetry for the low symmetry crystal systems (74 space groups).

本文着重分析了可能出现的平移赝对称形式，并以低级晶系所属的74个空间群为例导出了赝对称形式。

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