There is no such thing as "the Jihadist Network". Different Jihadist organizationss work in parallel or against each other. (For example, Jaysh al-Mahdi and al-Qaeda are both Jihadist organizations that have killed each others' members - in addition to numerous other victims.) Hezbollah is a Jihadist organization and they even claim that they are fighting a long-term Jihad against Israel and the Sunni Terrorists (usually referring to Islamic State, but also smaller organizations).