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I am reading an article and in one of the sections the article mentions the symmetry group.

The symmetry group of one of the objects the article talks about is the dihedral group of order 12, using this as an example the article talks about symmetry types denoted as : I,G,DD,R2,SD,D.

What is the meaning of the notation ? It's easy to see from the article that I is the id, but that's all I managed to figure out.

Edit: : link to the article - page 7 in the pdf, table 1 it is also said that "we define a symmetry type to be conjugacy class of subgroups of G"

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    Here's an intuitive explanation. Each group $G$ acts on itself by right or left multiplication. The conjugacy class of$a$particular element $a\in G$ tells you what the action of $a$ looks like under all "changes of basis", i.e., transform by any $g\in G$, then do $a$, then transform back with $g^{-1}$. It's certainly therefore very reasonable to want symmetry types to be invariant under conjugation.2012-03-23

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I don't think there's any meaning to the notation beyond what it's defined to denote in Table II right below Table I. If you have reason to believe that there's any additional meaning, please indicate it in the question.