  Low-mass compact stellar systems (CSSs; $M_{\star}$ $<$ 10$^{10}$
M$_{\odot}$) are thought to be a mixed bag of objects with various formation
mechanisms. Previous surveys of CSSs were biased to relatively high-density
environments and cannot provide a complete view of the environmental dependence
of the formation of CSSs. We conduct the first-ever unbiased flux-limited
census of nearby quiescent CSSs over a total sky area of $\sim$ 200 deg$^{2}$
observed by the GAMA spectroscopic survey. The complete sample includes 82
quiescent CSSs, of which 85\% fall within the stellar mass range of classical
compact ellipticals (cEs).\ By quantifying the local environment with the
normalized projected distance $D/R_{\rm vir}$ to the nearest luminous
neighboring galaxy, we find that these CSSs have a bimodal $D/R_{\rm vir}$
distribution, with one group peaking near $\sim$ 0.1$\times$$R_{\rm vir}$
(satellite) and the other peaking near $\sim$ 10$\times$$R_{\rm vir}$ (field).
In contrast to the CSSs, ordinary quiescent galaxies of similar masses have
unimodal $D/R_{\rm vir}$ distribution.\ Satellite CSSs are older and more
metal-rich than field CSSs on average. The bimodal $D/R_{\rm vir}$ distribution
of quiescent CSSs reinforces the existence of two distinct formation channels
(tidal stripping and born-to-be) for cEs and may be understood in two mutually
inclusive perspectives, i.e., substantial tidal stripping happens only when
satellite galaxies travel sufficiently close to their massive hosts, and there
exists an excess of high-density cE-bearing subhalos close to massive halos.
