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# 5.1 GraphicSubgroupLattice

- `GraphicSubgroupLattice(` g`)`

  `GraphicSubgroupLattice` creates a new graphic sheet for the Hasse diagram of the subgroup lattice of g. The next sections describe how to select and move vertices and the following sections describe the available menus.

      gap> GraphicSubgroupLattice( DihedralGroup(8) );
      <graphic subgroup lattice "GraphicSubgroupLattice">

- `GraphicSubgroupLattice(` g`,` width`,` height`)`

  In this form `GraphicSubgroupLattice` creates a graphic sheet of initial dimensions width times height. However it is still possible to change these dimensions later using either the menu (described in GraphicSubgroupLattice, Poset Menu) or the operation `Resize` for graphic sheets (see Resize).

  This function is the same for all types of groups. It only behaves differently according to some properties of the group. For example finitely presented groups are treated differently because other algorithms apply in this case and some of the standard ones are not feasible to be carried out.

  In contrast to the GAP3 version of XGAP all graphic subgroup lattices are interactive so you can always remove vertices. For a finite group you can still get the full lattice by choosing `All Subgroups` for the whole group.

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