Clean and wash the white cabbage and cut into fine strips. Place in a bowl. Season with salt, pepper and 1 pinch of sugar and knead well. Mix in vinegar and oil. Let the salad steep.
Mix crème fraîche, milk and mustard. Season with salt and pepper. Peel onion and cut into rings. Wash the cucumber and cut into thin strips. Wash the dill, shake dry and cut finely. Clean, wash and cut the salad into strips.
Preheat oven (electric cooker: 100 °C/circulating air: 80 °C/gas: see manufacturer). Place the salmon on a baking tray lined with baking paper. Heat up in the oven for approx. 10 minutes.
Heat 1 tablespoon of butter in a frying pan. Roast 2 slices of bread in it from both sides. Take out, heat 1 tbsp. butter in a pan and roast the rest of the slices in it. Heat 1 tbsp. butter in a second pan. Fry the eggs in it to make fried eggs. Season with salt.
Pluck salmon into pieces with two forks. Mix with cucumber strips, onion rings, coleslaw and dill and arrange on the bread. Drizzle with sauce. Put fried eggs on top. Serve garnished with pea sprouts if desired.