We describe the ROSAT All-Sky Survey-Center for Astrophysics Loose Systems
(RASSCALS), the largest X-ray and optical survey of low-mass galaxy groups
to date. We draw 260 groups from the combined Center for Astrophysics and S
outhern Sky Redshift Surveys, covering one-quarter of the sky to a limiting
Zwicky magnitude of m(z) = 15.5. We detect 61 groups (23%) as extended X-r
ay sources. The statistical completeness of the sample allows us to make th
e first measurement of the X-ray selection function of groups, along with a
clean determination of their fundamental scaling laws. We find robust evid
ence of similarity breaking in the relationship between the X-ray luminosit
y and velocity dispersion. Groups with sigma(p) < 340 km s(-1) are overlumi
nous by several orders of magnitude compared to the familiar L-x proportion
al to sigma(4) law for higher velocity dispersion systems. An understanding
of this break depends on the detailed structure of groups with small veloc
ity dispersions sigma(p) < 150 km s(-1). After accounting for selection eff
ects, we conclude that only 40% of the optical groups are extended X-ray so
urces. The remaining 60% are either accidental superpositions or systems de
void of X-ray emitting gas. Combining our results with group statistics fro
m N-body simulations, we find that the fraction of real, bound systems in o
ur objectively selected optical catalog is between 40%-80%. The X-ray detec
tions have a median membership of nine galaxies, a median recession velocit
y ct = 7250 km s(-1), a median projected velocity dispersion sigma(p) = 400
km s(-1) and a median X-ray luminosity L-X = 3 x 10(42) h(100)(-2) ergs s(
-1), where the Hubble constant is H-0 = 100 h(100) km s(-1) Mpc(-1). We inc
lude a catalog of these properties, or the appropriate upper limits, for al
l 260 groups.