This lecture covers the fundamentals of crystallography, focusing on symmetry elements, crystal classes, and their representations. Topics include crystal faces, axes, and coordinate systems, as well as the classification of crystal classes into holoedries and meroedries. The instructor explains the concept of bravais networks, plan groups, and the relationship between point groups and translation groups. Additionally, the lecture delves into the crystal systems of oblique, rectangular, square, and hexagonal, highlighting the importance of symmetry operations and space groups.