Table of Symmetries of the Square a/k/a D8

	e	R90	R180	R270	Fh	Fr	Fv	Ff
e	e	R90	R180	R270	Fh	Fr	Fv	Ff
R90	R90	R180	R270	e	Ff	Fh	Fr	Fv
R180	R180	R270	e	R90
R270	R270	e	R90	R180
Fh	Fh	Fr	Fv	Ff	e
Fr	Fr					e
Fv	Fv						e
Ff	Ff							e

F_h is a flip across horizontal axis

F_r is a flip across rising diagonal

F_v is a flip across vertical axis

F_f is a flip across falling diagonal

The table entries show the symmetry obtained when the column entry is done first and followed by the row entry.