  We present \Chandra\ observations of 23 galaxy groups and low-mass galaxy
clusters at $0.03<z<0.15$ with a median temperature of ~2keV. The sample is a
statistically complete flux-limited subset of the 400 deg$^2$ survey. We
investigated the scaling relation between X-ray luminosity ($L$) and
temperature ($T$), taking selection biases fully into account. The logarithmic
slope of the bolometric \LT\ relation was found to be $3.29\pm0.33$, consistent
with values typically found for samples of more massive clusters. In
combination with other recent studies of the \LT\ relation we show that there
is no evidence for the slope, normalisation, or scatter of the \LT\ relation of
galaxy groups being different than that of massive clusters. The exception to
this is that in the special case of the most relaxed systems, the slope of the
core-excised \LT\ relation appears to steepen from the self-similar value found
for massive clusters to a steeper slope for the lower mass sample studied here.
Thanks to our rigorous treatment of selection biases, these measurements
provide a robust reference against which to compare predictions of models of
the impact of feedback on the X-ray properties of galaxy groups.
