1. Silicates: These are the most abundant group, making up over 90% of the Earth's crust. They are characterized by the presence of silicon and oxygen in their chemical structure. Common examples include quartz, feldspar, mica, and olivine.

2. Carbonates: These minerals are composed of carbonate (CO3)2- ions. They are commonly found in sedimentary rocks and are important components of limestone and marble. Examples include calcite, dolomite, and magnesite.

3. Oxides: These minerals contain oxygen in their chemical structure, often combined with metals. They are common in igneous and metamorphic rocks. Examples include hematite, magnetite, and corundum.

4. Sulfides: These minerals contain sulfur combined with other elements, mainly metals. They are often found in hydrothermal veins and are important sources of ores. Examples include pyrite, chalcopyrite, and galena.

5. Sulfates: These minerals contain sulfate (SO4)2- ions. They are often found in sedimentary rocks and are important components of gypsum and anhydrite. Examples include gypsum, barite, and celestite.

6. Halides: These minerals contain halide ions, such as chloride (Cl-), bromide (Br-), and fluoride (F-). They are commonly found in sedimentary rocks and evaporites. Examples include halite, sylvite, and fluorite.

7. Phosphates: These minerals contain phosphate (PO4)3- ions. They are important components of fertilizers and are often found in sedimentary rocks. Examples include apatite, monazite, and vivianite.

8. Native Elements: These minerals consist of a single element, such as gold, silver, copper, sulfur, and diamond. They are often found in hydrothermal veins and as placer deposits.

It's important to note that this list is not exhaustive and there are many other mineral groups, albeit less common. However, these eight groups represent the most abundant and widely distributed minerals on Earth.