The complex \( [\text{Co}(\text{ONO})(\text{NH}_3)_5]\text{Cl}_2 \) comprises:
\( \text{ONO} \): A nitrito ligand coordinated through oxygen (nitrito-O),
\( \text{NH}_3 \): Five neutral ammine ligands,
\( \text{Cl}_2 \): Two chloride counter ions.
The oxidation state of cobalt is calculated as follows:
\[\text{Co} + 5(0) + (-1) + 2(-1) = 0 \implies \text{Co} = +3.\] Thus, the IUPAC name is: \[\boxed{\text{Pentaammine-nitrito-O-cobalt(III) chloride}}.\]