Group of Symmetries of the Square


	The table shows the group of symmetries of a square. Two operations of the group are applied successively to the colored squares. Their product is shown in the table.


	Contributed by: Enrique Zeleny

The operations are defined as follows:

= identity

= rotation 90° clockwise about the center

= rotation 180° clockwise around

= rotation 270° clockwise around

= reflection through the horizontal center line

= reflection through the vertical center line

= reflection through the main diagonal (upper-left to bottom-right vertex)

= reflection through the other diagonal (bottom-left to upper-right vertex)

Contributed by: Enrique Zeleny