This is so easy. I can't believe I didn't try MadPattern sooner. Now I can make my own Islamic inspired designs! Here's wallpaper group p6. Note the overlapping lines which distinguish it from p31m.
 | 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 the corresponding Pinterest Board.
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