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I can't seem to find a way to programmatically open the special characters palette found in the Insert menu in Mathematica.

Is there a way to do this? Usually there is a frontend token one can use... but I can't seem to find one.

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The following expression will open the special characters palette:

FrontEndExecute[{FrontEnd`NotebookOpen["SpecialCharacters.nb"]}]

This expression was extracted from MenuSetup.tr:

{ $InstallationDirectory, "SystemFiles", "FrontEnd", "TextResources", $OperatingSystem
, "MenuSetup.tr"
} //
FileNameJoin //
FindList[#, "Special Character..."]& //
First

(*
    MenuItem["&Special Character...",
      FrontEndExecute[{FrontEnd`NotebookOpen["SpecialCharacters.nb"]}]],
*)
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