However, it turned out that the actual incoming 55.2 Mbit at the Fritz box, "only" as a 2-3 Mbit (LAN) or 20 Mbit (WLAN wireless extender) arrived on the ground floor.
After conversion to the powerline adapter ("Installation" if you want to call it so done, by plugging into an electrical outlet and connect by using the LAN cable to the router and then plug the adapter 540e on the ground floor); worked immediately!), there are now 35 Mbit via LAN and 35 Mbit WLAN at 540e.
Have so indeed created another access point (what new dial into the respective wireless means), but this is more stable and faster than using a repeater, which can also be set.
This is on an individual basis if necessary (depending on structural conditions) but also already enough. We (over two floors and two blankets ...), the feed offered as D-LAN and from there then as a wireless on.
I am extremely pleased: high data throughput (even with multiple devices at the same time), ease of use (as always with AVM simply browser interface and self-explanatory), good quality and simple installation. More can not be expected!
Quite clear 5 Stars!