A sheet-like structure, in particular a net, finished with an insecticidal mixture comprisinga) chlorfenapyr andb) one or more pyrethroids from the group consisting of alpha-cypermethrin (b1), deltamethrin (b2), permethrin (b3) and lambda-cyhalothrin (b4),in an amount of (in each case relative to the sheet-like structure)a) 50 to 150 mg/m2 chlorfenapyrb1) 50 to 150 mg/m2 alpha-cypermethrinb2) 15 to 45 mg/m2 deltamethrinb3) 50 to 750 mg/m2 permethrinb4) 5 to 30 mg/m2 lambda-cyhalothrin,is suitable for controlling harmful insects in buildings and for protecting humans and domestic animals from such harmful insects and from vector-transmitted diseases which are transmitted by the harmful insects.