We present Chandra observations of 23 galaxy groups and low-mass galaxy clusters at 0.03 < z < 0.15 with a median temperature of \sim 2 \mbox { $ \text { ~ { } keV } $ } . 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 L - T relation was found to be 3.29 \pm 0.33 , consistent with values typically found for samples of more massive clusters . In combination with other recent studies of the L - T relation we show that there is no evidence for the slope , normalisation , or scatter of the L - T 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 L - T 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 .