GroupTheory`
GroupTheory`

GTGroupHierarchy

GTGroupHierarchy[group]

gives a graph containing all subgroups of a group. Also all groups which contain group as a subgroup are included in the graph.

Details and Options

  • The following options can be given:
  • GONotation"SFL"Changes the notation between SFL and HM
    GOPlotStyle"Normal"Embeds the connection graph
    GraphStyle"DiagramGold"Option to Graph that specifies styles for graph elements
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 4.1.2

    • GTGroupConnection  GTGroupNotation  GTPointGroups    GTInstallGroup

    First, load the package:

    Then run the examples:

    It is possible to use the different notations: SF-notation as Symbol, SF_notation as a string, HM-notation in BracketingBars.

    The style of the vertices in the graph can be changed by this option. Useful choices are: "DiagramBlack","DiagramBlue","DiagramGreen", "DiagramGold","VintageDiagram".

    You get an overview about possible settings by GraphElelemtData["GraphStyle"].