There are several types of breast cancer, which can be broadly classified into the following categories:

1. Ductal carcinoma in situ (DCIS): This type of breast cancer occurs in the milk ducts of the breast and is a non-invasive form of breast cancer.
2. Invasive ductal carcinoma (IDC): This is the most common type of breast cancer, accounting for about 80% of all cases. It begins in the milk ducts of the breast but can spread to other parts of the body if not treated.
3. Invasive lobular carcinoma (ILC): This type of breast cancer begins in the milk-producing glands of the breast and can spread to other parts of the body if not treated.
4. Inflammatory breast cancer (IBC): This is a rare and aggressive type of breast cancer that occurs when cancer cells block the lymphatic vessels in the skin of the breast, causing redness, swelling, and warmth.
5. Triple-negative breast cancer: This type of breast cancer is characterized by the absence of estrogen receptor (ER), progesterone receptor (PR), and human epidermal growth factor receptor 2 (HER2) and is usually more aggressive than other types of breast cancer.
6. HER2-positive breast cancer: This type of breast cancer is characterized by an overexpression of the HER2 protein and is usually more aggressive than other types of breast cancer.
7. Male breast cancer: Although rare, breast cancer can occur in men as well. The most common type of male breast cancer is invasive ductal carcinoma.