Oooh one I can answer. Currently researching a textiles exhibition. I am going to answer a bit more broadly since that is a small period for items that are difficult to date.

So textiles from Ancient Greece that survive until today are pretty rare. This is a result of the humid environment and poor preservation techniques. Most of what we know stems from secondary sources such as statues, wall paintings, and written records. Stamping is known to have been employed, as evidenced by the presence of a rolling stamper in the Louvre. There was also a number of embroidery styles employed, which are known through written records and visible remains on statues. Garments would have also had stripes and other motifs woven into them as part of the fabric production. Kore (see for example the Phrasikleia Kore at the Athens Archaeological Museum) show cross shapes, rosettes, stars and flowers on their garments. Bright colors known from paint traces and textile fragments were very prevalent. The garments would have been dyed multiple brilliant hues. Textiles could have also featured braided aspects, especially in the case of woolen bands. This is known from written accounts by historians of the period and extent frieze depictions.

If you want more information, some sources/authors I recommend are Elizabeth Barber (Women’s Work: The First 1000 Years), anything by Marie Louise Nosche and the Ancient Greek Art entry on the Heilbrunn Timeline of Art History on the Met’s website. Additionally, if you are interested in something a little later, see “Designing Identities: The Power of Textiles in Late Antiquity” which is a spectacular catalogue from an exhibition at NYU.

Also, if you are not already aware of it, you should check on people’s Academia pages for scans of book chapters and such.

Please feel free to ask any other questions you may have.