High-resolution, low-noise maps have been made of Maddalena's cloud, a large, anomalous molecular cloud in which star formation is absent to a very low level. A rich internal structure is observed, despite the apparent lack of energy input. We characterize the structure in terms of clumps and find that the clump mass spectrum is well fit by a power law, dN/dM∞M −1.0±0.16 , flatter than that measured in the same way for the Rosette molecular cloud, a more typical star-forming cloud, and by extrapolation, flatter than the mass spectrum of all giant molecular clouds (GMCs) investigated to date. A Kolmogorov-Smirnov test finds only a 7% probability that the mass distribution of the two clouds sample the same parent distribution