Did you consider Jmol/JSmol? It is freely available for Windows / Mac / Linux, scriptable, may export what is being displayed in formats relevant to chemistry (e.g., .pdb, .sdf), as image (e.g., .png, .pngj, [animated] .gif) and already is in use to teach symmetry in molecules and crystals. As an example, the interactive compilations by Symmetry@Otterbein dedicate a page about a few space groups, too. Jmol/JSmol is a default viewer of the 3D structures of the IUCr Journals, and there is a forum dedicated to its use in crystallography, too.
In 2010JApplCryst1250 Hanson presents a selection of what may be achieved. This open access publication offers all the data to replicate the figures displayed in the publication as SI, too. For example:
Much of this may be tried out -- just from the browser -- in a dedicated test site.
In a period of extended distance learning, earlier publications in the Journal of Chemical Education about this program (like 2005JChemEduc1736, or 2007JChemEduc2475) may be of general interest, too.