Image super-resolution reconstruction techniques, particularly those based on convolutional neural networks (CNN), have recently been successful in remote sensing image reconstruction. However, as we all known that, there are still two limitations, which limit their performance on several remote sensing tasks. Firstly, most of existing methods usually need a large number of parameters to construct their networks, which make the network difficult to train. Moreover, due to the gradient problem and the data degradation problem caused by large parameters, the model will become inefficient and have heavy computational burden. Secondly, the remote sensing image often contains many high frequency and low frequency information and most existing methods are treat them equally. Aiming at these problems, in this paper, we design a novel group convolution network with a pixel attention mechanism named GCPAN to better recover the details of the remote sensing image. First, we use the group convolution to reduce the parameters and computations by diving the feature maps into some groups, however, that may lost the correlation of different features, which is solved by using the channel shuffle after the group convolution. Second, we design a new attention mechanism (pixel attention mechanism) to capture more important information by assigning different weights to each pixel. All of these operations can improve the discriminative learning ability of the network. Our experiments show that our proposed model outperforms the existing state-of-the-art methods both quantitatively and perceptually.