  Hepworth, Willerton, Leinster and Shulman introduced the magnitude homology
groups for enriched categories, in particular, for metric spaces. The purpose
of this paper is to describe the magnitude homology group of a metric space in
terms of order complexes of posets.
  In a metric space, an interval (the set of points between two chosen points)
has a natural poset structure, which is called the interval poset. Under
additional assumptions on sizes of $4$-cuts, we show that the magnitude chain
complex can be constructed using tensor products, direct sums and degree shifts
from order complexes of interval posets.
  We give several applications. First, we show the vanishing of higher
magnitude homology groups for convex subsets of the Euclidean space. Second,
magnitude homology groups carry the information about the diameter of a hole.
Third, we construct a finite graph whose $3$rd magnitude homology group has
torsion.
