Hubble defined three major classes of galaxies, called Ellipticals, Spirals and Irregulars. Spiral galaxies come in two varieties: Barred and Normal.
Hubble went further to try and show the connectedness of these types by making a flow-chart, sometimes called a tuning fork because of its shape. This does NOT constitute an evolutionary sequence! It's based SOLELY on morphology. E stands for Elliptical, while S stands for Spiral: