Self-supervised representation learning often uses data augmentations to induce some invariance to “style” attributes of the data. However, with downstream tasks generally unknown at training time, it is difficult to deduce a priori which attributes of the data are indeed “style” and can be safely discarded. To address this, we introduce a more principled approach that seeks to disentangle style features rather than discard them. The key idea is to add multiple style embedding spaces where: (i) each is invariant to all-but-one augmentation; and (ii) joint entropy is maximized. We empirically demonstrate the benefits of our approach on synthetic datasets and then present promising but limited results on ImageNet.