This paper argues that star forming environments should be classified into
finer divisions than the traditional isolated and clustered modes. Using the
observed set of galactic open clusters and theoretical considerations regarding
cluster formation, we estimate the fraction of star formation that takes place
within clusters. We find that less than 10% of the stellar population
originates from star forming regions destined to become open clusters,
confirming earlier estimates. The smallest clusters included in the
observational surveys (having at least N=100 members) roughly coincide with the
smallest stellar systems that are expected to evolve as clusters in a dynamical
sense. We show that stellar systems with too few members N < N_\star have
dynamical relaxation times that are shorter than their formation times (1-2
Myr), where the critical number of stars N_\star \approx 100. Our results
suggest that star formation can be characterized by (at least) three principal
modes: I. isolated singles and binaries, II. groups (N<N_\star), and III.
clusters (N>N_\star). Many -- if not most -- stars form through the
intermediate mode in stellar groups with 10<N<100. Such groups evolve and
disperse much more rapidly than open clusters; groups also have a low
probability of containing massive stars and are unaffected by supernovae and
intense ultraviolet radiation fields. Because of their short lifetimes and
small stellar membership, groups have relatively little effect on the star
formation process (on average) compared to larger open clusters.Comment: accepted to The Astrophysical Journa