There's no better way to learn than to get your hands dirty and do it yourself! Making my own wallpaper groups is really helping me understand each group. Today's is p4mg, which has a neat woven quality:
The structure:
 | a centre of rotation of order two (180°). |
 | a centre of rotation of order three (120°). |
 | a centre of rotation of order four (90°). |
 | a centre of rotation of order six (60°). |
 | an axis of reflection. |
 | an axis of glide reflection. |
Image and Key: Source: Wikipedia
Here's a pinboard of group p4mg.
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