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We combine the power of two stream-searching tools, STREAMFINDER and StarGOapplied to the Gaia EDR3 data, to detect stellar debris belonging to the Cetusstream system that forms a complex, nearly polar structure around the MilkyWay. In this work, we find the southern extensions of the northern Cetus streamas the Palca stream and a new southern stream, which overlap on the sky buthave different distances. These two stream wraps extend over more than$\sim100\deg$ on the sky ($-60\deg<\delta<+40\deg$). The current N-body modelof the system reproduces both wraps in the trailing arm. We also show that theCetus system is confidently associated with the Triangulum/Pisces, Willka Yaku,and the recently discovered C-20 streams. The association with the ATLAS-AliqaUma stream is much weaker. All of these stellar debris are very metal-poor,comparable to the average metallicity of the southern Cetus stream with [Fe/H]= $-2.17\pm0.2$. The estimated stellar mass of the Cetus progenitor is at least$10^{5.6}\rm\,M_\odot$, compatible with Ursa Minor or Draco dwarf galaxies. Theassociated globular cluster with similar stellar mass, NGC 5824 very possiblywas accreted in the same group infall. The multi-wrap Cetus stream is a perfectexample of a dwarf galaxy that has undergone several periods of stripping,leaving behind debris at multiple locations in the halo. The fullcharacterization of such systems is crucial to unravel the assembly history ofthe Milky Way and, as importantly, to provide nearby fossils to study ancientlow-mass dwarf galaxies.

The Complexity of the Cetus Stream Unveiled from the Fusion of STREAMFINDER and StarGO