Hi,
Non-transparent objects are always rendered before transparent objects, see javax.media.j3d.Canvas3D So as long as the lines are truly opaque OrderedGroup will not help, but you can set the TransparencyAttributes for the lines to TransparencyAttributes.NICEST/FASTEST and set the transparency to 0. Then you can use the OrderedGroup and the lines will be rendered after the box.
Another solution could perhaps be to use a negative polygonOffset for the Box, see javax.media.j3d.PolygonAttributes
-ol
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