WEB TUTORIAL - Group Theory
H2O Worked ExampleIt may help to follow this tutorial whilst looking at The Flow Diagram to follow the process of arriving at the point group.
Help
A C3 axis denotes a rotation axis which when viewed along the z-axis shows the bond angle at 120° (360/3 = 120°). E.g. CH4 which has 4 C3 axes, looking down any C-H bond, will show you a C3 axis and so the principle axis can be determined as anyone of these.