The Jafyral were a faction of the Conver Ambi that emerged on Sacred Geminga 4, a pulsar planet orbiting the neutron star Geminga. They were strict believers in the doctrines of Culver-of-Bydovsky, and proclaimed that all the problems Conver Ambi experienced could be solved by a return to the original tenets of the Ambi and a rejection of the growing influence of the SephiroticArchailects. They renamed themselves the Geminga Orthodoxy after the local pulsar.
In 3713 the moderate Conver Limis declared their opposition to the Orthodoxy, signalling the start of the Second Consolidation War. The Orthodoxy seized power on Conver Ky, and began to purge the Conver Ambi empire, a large volume in Taurus, Gemini and Canis Minoris. Soon the empire was in turmoil.
The Conver Limis other rebels gained the backing of the Solar Dominion and Metasoft, enabling them to fight back. But the Geminga Orthodoxy displayed a resilience that prolonged the conflict long enough to expose deep differences in the goals of their major opponents. With good reason, the Orthodoxy accused Metasoft and the Solar Dominion of carving the ruins of the Conver Ambi up between them. Many worlds began to sympathise with the Orthodoxy, and accuse the Sephirotic empires of encouraging the conflict to benefit themselves.
Eventually the Orthodoxy was defeated, and Conver Ky was devastated in a RKKS attack. The Conver Ambi empire was divided between the two Sephirotic empires, but the divisions between these victorious factions became ever deeper.