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Group of Symmetries of the Square

​
product
e
r
90
r
180
r
270
m
h
m
v
m
D
m
d
e
e
r
90
r
180
r
270
m
h
m
v
m
D
m
d
r
90
r
90
r
180
r
270
e
m
D
m
d
m
v
m
h
r
180
r
180
r
270
e
r
90
m
v
m
h
m
d
m
D
r
270
r
270
e
r
90
r
180
m
d
m
D
m
h
m
v
m
h
m
h
m
d
m
v
m
D
e
r
180
r
270
r
90
m
v
m
v
m
D
m
h
m
d
r
180
e
r
90
r
270
m
D
m
D
m
h
m
d
m
v
r
90
r
270
e
r
180
m
d
m
d
m
v
m
D
m
h
r
270
r
90
r
180
e
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.
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