No, I think that says Q is Quad Flatpack
That part number reference document was from last century.
I went thru a lot of current Atmel app notes & stuff, I didn't come across anything from this decade or the previous decade that addresses the Q.
Nor can I find any data sheets the call out a part number with Q in it.
Oooh, here's one to keep handy when someone asks how to program an arduino:
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