  We identify a superconducting order featuring spatial pair modulations on the
kagome lattice subject to onsite Hubbard U and nearest neighbor V interactions.
Within our functional renormalization group analysis, this state appears with a
concomitant d-wave superconducting (SC) instability at zero lattice momentum,
where it distinguishes itself through intra-unit cell modulations of the
pairing function thus breaking the discrete space group symmetry. The relative
weight of the sublattice modulated superconductor (SMS) and d-wave SC is
influenced by the absolute interaction strength and coupling ratio V /U .
Parametrically adjacent to this domain at weak coupling, we find an intra-unit
cell modulated vestigial charge density wave and an s-wave SC instability. Our
study provides a microscopic setting and thorough description of this novel SMS
arising within a translation symmetry broken background.
