Spiral
This looks like a pinwheel and has a disc, budge and halo
The Milky Way is an example of this galaxy type
Irregular
This has no defined shape
60% of galaxies are this type
Elliptical
This contains many older stars
Can be circular or oval
These have lots of extra gas and dust so new stars can form
These have a specific shape
These don't have arms
Each one contains many solar systems, stars, planets, etc.