Tetragonal (4/m) Space Groups

83        P4/m

(+x,+y,+z); (-x,-y,+z); (+y,-x,+z); (-y,+x,+z)
(+x,+y,-z); (-x,-y,-z); (+y,-x,-z); ( -y,+x,-z)

84        P4₂/m

(+x,+y,+z); (-x,-y,+z); (+y,-x, 1/2+z); (-y,+x, 1/2+z)
(+x,+y,-z); (-x,-y,-z); (+y,-x, 1/2-z); (-y,+x, 1/2-z)

85        P4/n

(+x,+y,+z); (-x,-y,+z); (+y,-x,-z); ( -y,+x,-z)
(1/2+y, 1/2-x,+z); (1/2-y, 1/2+x,+z); (1/2+x, 1/2+y,-z); (1/2-x, 1/2-y,-z)

86        P4₂/n

(+x,+y,+z); (-x,-y,+z); (+y,-x,-z); (-y,+x,-z)
(1/2+y, 1/2-x, 1/2+z); ( 1/2-y, 1/2+x, 1/2+z); (1/2+x, 1/2+y, 1/2-z); (1/2-x,1/2-y, 1/2-z)

87        I4/m            Origins: (0,0,0    1/2.1/2,1/2)

+x,+y,+z); (-x,-y,+z); (+y,-x,+z); (-y,+x,+z)
(+x,+y,-z); (-x,-y,-z); (+y,-x,-z); ( -y,+x,-z)

88        I4₁/a            Origins: (0,0,0    1/2.1/2,1/2)

(+x,+y,+z); (-x,-y,+z); (+y,1/2-x,1/4+z); ( -y,1/2+x,1/4+z)
(+x,1/2+y,1/4-z); ( -x,1/2-y,1/4-z); ( +y,-x,-z); ( -y,+x,-z)