Are the portafilter, filter baskets, or drip tray dishwasher safe?

No — the manual explicitly states that none of the parts or accessories should be cleaned in the dishwasher. The filter baskets and portafilter should be rinsed under hot water directly after use, and the drip tray grid and tray should be washed in warm soapy water. Do not use abrasive cleaners, pads, or cloths that can scratch the surfaces of the machine. (Page 17)