Compounds of the formula (I) in which Z is an oxygen atom or a sulfur atom; Z2 is an oxygen atom or a sulfur atom; R1 is an aryl or heteroaryl group, which is unsubstituted or substituted; R2 is hydrogen or an organic substituent; R3 is hydrogen or an organic substituent; R4 is hydrogen or an organic substituent; or R3 and R4 taken together, form together with the nitrogen atom to which they are attached, a ring which is unsubstituted or substituted; R5 is hydrogen or an unsubstituted or substituted alkyl group or forms taken together with R8 or with a monovalent substituent attached to that atom of R6 via which atom R6 is directly connected with the carbon atom shown in the formula I which carries R5 one additional bond; R6 and R7 taken together, form together with the two carbon atoms shown in the formula I to which atoms they are attached a bicyclic ring system which ring system is carbocyclic or heterocyclic and which ring system is substituted in the manner shown in the formula I by the four substituents -N(R2)-C(=Z1)-R,, -C(=Z2)-N(R3)-R4, R5 and R8, and which ring system is optionally further substituted; and R8 is hydrogen or an unsubstituted or substituted alkyl group or forms, taken together with R5 or with a monovalent substituent attached to that atom of R7 via which atom R7 is directly connected with the carbon atom shown in the formula I which carries R8 one additional bond, and, where appropriate tautomers thereof, in each case in free form or in salt form, can be used as agrochemical active ingredients and can be prepared in a manner known per se.