The formation of amyloid-beta (A{beta}) oligomer pores in the membrane of neurons has been proposed as the means to explain neurotoxicity in Alzheimers disease (AD). It is therefore critical to characterize A{beta} oligomer samples in membrane-mimicking environments. Here we present the first three-dimensional structure of an A{beta} oligomer formed in dodecyl phosphocholine (DPC) micelles, namely an A{beta}(1-42) tetramer. It comprises a {beta}-sheet core made of six {beta}-strands, connected by only two {beta}-turns. The two faces of the {beta}-sheet core are hydrophobic and surrounded by the membrane-mimicking environment. In contrast, the edges of the core are hydrophilic and are solvent-exposed. By increasing the concentration of A{beta}(1-42), we prepared a sample enriched in A{beta}(1-42) octamers, formed by two A{beta}(1-42) tetramers facing each other forming a {beta}-sandwich structure. Notably, samples enriched in A{beta}(1-42) tetramers and octamers are both active in lipid bilayers and exhibit the same types of pore-like behaviour, but they show different occurrence rates. Remarkably, molecular dynamics simulations showed a new mechanism of membrane disruption in which water and ion permeation occurred through lipid-stabilized pores mediated by the hydrophilic residues located on the core {beta}-sheets edges of the A{beta}(1-42) tetramers and octamers.