  Using Monte Carlo simulations, we explore the magnetic phase diagram of the
triangular spin tubes coupled with a ferromagnetic inter-tube interaction for
CsCrF4. A planar structure of the coupled tubes is topologically equivalent to
the Kagome-triangular lattice, which induces nontrivial frustration effects in
the system. We particularly find that, depending on the inter-tube coupling,
various ordered phases are actually realized, such as incommensurate order,
ferromagnetic order, and Cuboc order, which is characterized by the
non-coplanar spin structure of the twelve sublattice accompanying the spin
chirality breaking. We also discuss a relevance of the results to recent
experiments of CsCrF4.
