List of space groups – Wikipedia

Number Point group Orbifold Short name Full name Schoenflies Fedorov Shubnikov Fibrifold (primary) Fibrifold (secondary) 16 222 222 {\displaystyle 222} P222 P 2 2 2 Γ o D 2 1 {\displaystyle \Gamma _{o}D_{2}^{1}} 9s ( c : a : b ) : 2 : 2 {\displaystyle (c:a:b):2:2} ( ∗ 2 0 2 0 2 0 2 0 ) {\displaystyle (*2_{0}2_{0}2_{0}2_{0})} 17 P222₁ P 2 2 2₁ Γ o D 2 2 {\displaystyle \Gamma _{o}D_{2}^{2}} 4a ( c : a : b ) : 2 1 : 2 {\displaystyle (c:a:b):2_{1}:2} ( ∗ 2 1 2 1 2 1 2 1 ) {\displaystyle (*2_{1}2_{1}2_{1}2_{1})} ( 2 0 2 0 ∗ ) {\displaystyle (2_{0}2_{0}{*})} 18 P2₁2₁2 P 2₁ 2₁ 2 Γ o D 2 3 {\displaystyle \Gamma _{o}D_{2}^{3}} 7a ( c : a : b ) : 2 {\displaystyle (c:a:b):2} 2 1 {\displaystyle 2_{1}} ( 2 0 2 0 × ¯ ) {\displaystyle (2_{0}2_{0}{\bar {\times }})} ( 2 1 2 1 ∗ ) {\displaystyle (2_{1}2_{1}{*})} 19 P2₁2₁2₁ P 2₁ 2₁ 2₁ Γ o D 2 4 {\displaystyle \Gamma _{o}D_{2}^{4}} 8a ( c : a : b ) : 2 1 {\displaystyle (c:a:b):2_{1}} 2 1 {\displaystyle 2_{1}} ( 2 1 2 1 × ¯ ) {\displaystyle (2_{1}2_{1}{\bar {\times }})} 20 C222₁ C 2 2 2₁ Γ o b D 2 5 {\displaystyle \Gamma _{o}^{b}D_{2}^{5}} 5a ( a + b 2 : c : a : b ) : 2 1 : 2 {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right):2_{1}:2} ( 2 1 ∗ 2 1 2 1 ) {\displaystyle (2_{1}{*}2_{1}2_{1})} ( 2 0 2 1 ∗ ) {\displaystyle (2_{0}2_{1}{*})} 21 C222 C 2 2 2 Γ o b D 2 6 {\displaystyle \Gamma _{o}^{b}D_{2}^{6}} 10s ( a + b 2 : c : a : b ) : 2 : 2 {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right):2:2} ( 2 0 ∗ 2 0 2 0 ) {\displaystyle (2_{0}{*}2_{0}2_{0})} ( ∗ 2 0 2 0 2 1 2 1 ) {\displaystyle (*2_{0}2_{0}2_{1}2_{1})} 22 F222 F 2 2 2 Γ o f D 2 7 {\displaystyle \Gamma _{o}^{f}D_{2}^{7}} 12s ( a + c 2 / b + c 2 / a + b 2 : c : a : b ) : 2 : 2 {\displaystyle \left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:c:a:b\right):2:2} ( ∗ 2 0 2 1 2 0 2 1 ) {\displaystyle (*2_{0}2_{1}2_{0}2_{1})} 23 I222 I 2 2 2 Γ o v D 2 8 {\displaystyle \Gamma _{o}^{v}D_{2}^{8}} 11s ( a + b + c 2 / c : a : b ) : 2 : 2 {\displaystyle \left({\tfrac {a+b+c}{2}}/c:a:b\right):2:2} ( 2 1 ∗ 2 0 2 0 ) {\displaystyle (2_{1}{*}2_{0}2_{0})} 24 I2₁2₁2₁ I 2₁ 2₁ 2₁ Γ o v D 2 9 {\displaystyle \Gamma _{o}^{v}D_{2}^{9}} 6a ( a + b + c 2 / c : a : b ) : 2 : 2 1 {\displaystyle \left({\tfrac {a+b+c}{2}}/c:a:b\right):2:2_{1}} ( 2 0 ∗ 2 1 2 1 ) {\displaystyle (2_{0}{*}2_{1}2_{1})} 25 mm2 ∗ 22 {\displaystyle *22} Pmm2 P m m 2 Γ o C 2 v 1 {\displaystyle \Gamma _{o}C_{2v}^{1}} 13s ( c : a : b ) : m ⋅ 2 {\displaystyle (c:a:b):m\cdot 2} ( ∗ ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ) {\displaystyle (*{\cdot }2{\cdot }2{\cdot }2{\cdot }2)} [ ∗ 0 ⋅ ∗ 0 ⋅ ] {\displaystyle [{*}_{0}{\cdot }{*}_{0}{\cdot }]} 26 Pmc2₁ P m c 2₁ Γ o C 2 v 2 {\displaystyle \Gamma _{o}C_{2v}^{2}} 9a ( c : a : b ) : c ~ ⋅ 2 1 {\displaystyle (c:a:b):{\tilde {c}}\cdot 2_{1}} ( ∗ ⋅ 2 : 2 ⋅ 2 : 2 ) {\displaystyle (*{\cdot }2{:}2{\cdot }2{:}2)} ( ∗ ¯ ⋅ ∗ ¯ ⋅ ) {\displaystyle ({\bar {*}}{\cdot }{\bar {*}}{\cdot })} , [ × 0 × 0 ] {\displaystyle [{\times _{0}}{\times _{0}}]} 27 Pcc2 P c c 2 Γ o C 2 v 3 {\displaystyle \Gamma _{o}C_{2v}^{3}} 5h ( c : a : b ) : c ~ ⋅ 2 {\displaystyle (c:a:b):{\tilde {c}}\cdot 2} ( ∗ : 2 : 2 : 2 : 2 ) {\displaystyle (*{:}2{:}2{:}2{:}2)} ( ∗ ¯ 0 ∗ ¯ 0 ) {\displaystyle ({\bar {*}}_{0}{\bar {*}}_{0})} 28 Pma2 P m a 2 Γ o C 2 v 4 {\displaystyle \Gamma _{o}C_{2v}^{4}} 6h ( c : a : b ) : a ~ ⋅ 2 {\displaystyle (c:a:b):{\tilde {a}}\cdot 2} ( 2 0 2 0 ∗ ⋅ ) {\displaystyle (2_{0}2_{0}{*}{\cdot })} [ ∗ 0 : ∗ 0 : ] {\displaystyle [{*}_{0}{:}{*}_{0}{:}]} , ( ∗ ⋅ ∗ 0 ) {\displaystyle (*{\cdot }{*}_{0})} 29 Pca2₁ P c a 2₁ Γ o C 2 v 5 {\displaystyle \Gamma _{o}C_{2v}^{5}} 11a ( c : a : b ) : a ~ ⋅ 2 1 {\displaystyle (c:a:b):{\tilde {a}}\cdot 2_{1}} ( 2 1 2 1 ∗ : ) {\displaystyle (2_{1}2_{1}{*}{:})} ( ∗ ¯ : ∗ ¯ : ) {\displaystyle ({\bar {*}}{:}{\bar {*}}{:})} 30 Pnc2 P n c 2 Γ o C 2 v 6 {\displaystyle \Gamma _{o}C_{2v}^{6}} 7h ( c : a : b ) : c ~ ⊙ 2 {\displaystyle (c:a:b):{\tilde {c}}\odot 2} ( 2 0 2 0 ∗ : ) {\displaystyle (2_{0}2_{0}{*}{:})} ( ∗ ¯ 1 ∗ ¯ 1 ) {\displaystyle ({\bar {*}}_{1}{\bar {*}}_{1})} , ( ∗ 0 × 0 ) {\displaystyle ({*}_{0}{\times }_{0})} 31 Pmn2₁ P m n 2₁ Γ o C 2 v 7 {\displaystyle \Gamma _{o}C_{2v}^{7}} 10a ( c : a : b ) : a c ~ ⋅ 2 1 {\displaystyle (c:a:b):{\widetilde {ac}}\cdot 2_{1}} ( 2 1 2 1 ∗ ⋅ ) {\displaystyle (2_{1}2_{1}{*}{\cdot })} ( ∗ ⋅ × ¯ ) {\displaystyle (*{\cdot }{\bar {\times }})} , [ × 0 × 1 ] {\displaystyle [{\times }_{0}{\times }_{1}]} 32 Pba2 P b a 2 Γ o C 2 v 8 {\displaystyle \Gamma _{o}C_{2v}^{8}} 9h ( c : a : b ) : a ~ ⊙ 2 {\displaystyle (c:a:b):{\tilde {a}}\odot 2} ( 2 0 2 0 × 0 ) {\displaystyle (2_{0}2_{0}{\times }_{0})} ( ∗ : ∗ 0 ) {\displaystyle (*{:}{*}_{0})} 33 Pna2₁ P n a 2₁ Γ o C 2 v 9 {\displaystyle \Gamma _{o}C_{2v}^{9}} 12a ( c : a : b ) : a ~ ⊙ 2 1 {\displaystyle (c:a:b):{\tilde {a}}\odot 2_{1}} ( 2 1 2 1 × ) {\displaystyle (2_{1}2_{1}{\times })} ( ∗ : × ) {\displaystyle (*{:}{\times })} , ( × × 1 ) {\displaystyle ({\times }{\times }_{1})} 34 Pnn2 P n n 2 Γ o C 2 v 10 {\displaystyle \Gamma _{o}C_{2v}^{10}} 8h ( c : a : b ) : a c ~ ⊙ 2 {\displaystyle (c:a:b):{\widetilde {ac}}\odot 2} ( 2 0 2 0 × 1 ) {\displaystyle (2_{0}2_{0}{\times }_{1})} ( ∗ 0 × 1 ) {\displaystyle (*_{0}{\times }_{1})} 35 Cmm2 C m m 2 Γ o b C 2 v 11 {\displaystyle \Gamma _{o}^{b}C_{2v}^{11}} 14s ( a + b 2 : c : a : b ) : m ⋅ 2 {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right):m\cdot 2} ( 2 0 ∗ ⋅ 2 ⋅ 2 ) {\displaystyle (2_{0}{*}{\cdot }2{\cdot }2)} [ ∗ 0 ⋅ ∗ 0 : ] {\displaystyle [*_{0}{\cdot }{*}_{0}{:}]} 36 Cmc2₁ C m c 2₁ Γ o b C 2 v 12 {\displaystyle \Gamma _{o}^{b}C_{2v}^{12}} 13a ( a + b 2 : c : a : b ) : c ~ ⋅ 2 1 {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right):{\tilde {c}}\cdot 2_{1}} ( 2 1 ∗ ⋅ 2 : 2 ) {\displaystyle (2_{1}{*}{\cdot }2{:}2)} ( ∗ ¯ ⋅ ∗ ¯ : ) {\displaystyle ({\bar {*}}{\cdot }{\bar {*}}{:})} , [ × 1 × 1 ] {\displaystyle [{\times }_{1}{\times }_{1}]} 37 Ccc2 C c c 2 Γ o b C 2 v 13 {\displaystyle \Gamma _{o}^{b}C_{2v}^{13}} 10h ( a + b 2 : c : a : b ) : c ~ ⋅ 2 {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right):{\tilde {c}}\cdot 2} ( 2 0 ∗ : 2 : 2 ) {\displaystyle (2_{0}{*}{:}2{:}2)} ( ∗ ¯ 0 ∗ ¯ 1 ) {\displaystyle ({\bar {*}}_{0}{\bar {*}}_{1})} 38 Amm2 A m m 2 Γ o b C 2 v 14 {\displaystyle \Gamma _{o}^{b}C_{2v}^{14}} 15s ( b + c 2 / c : a : b ) : m ⋅ 2 {\displaystyle \left({\tfrac {b+c}{2}}/c:a:b\right):m\cdot 2} ( ∗ ⋅ 2 ⋅ 2 ⋅ 2 : 2 ) {\displaystyle (*{\cdot }2{\cdot }2{\cdot }2{:}2)} [ ∗ 1 ⋅ ∗ 1 ⋅ ] {\displaystyle [{*}_{1}{\cdot }{*}_{1}{\cdot }]} , [ ∗ ⋅ × 0 ] {\displaystyle [*{\cdot }{\times }_{0}]} 39 Aem2 A b m 2 Γ o b C 2 v 15 {\displaystyle \Gamma _{o}^{b}C_{2v}^{15}} 11h ( b + c 2 / c : a : b ) : m ⋅ 2 1 {\displaystyle \left({\tfrac {b+c}{2}}/c:a:b\right):m\cdot 2_{1}} ( ∗ ⋅ 2 : 2 : 2 : 2 ) {\displaystyle (*{\cdot }2{:}2{:}2{:}2)} [ ∗ 1 : ∗ 1 : ] {\displaystyle [{*}_{1}{:}{*}_{1}{:}]} , ( ∗ ¯ ⋅ ∗ ¯ 0 ) {\displaystyle ({\bar {*}}{\cdot }{\bar {*}}_{0})} 40 Ama2 A m a 2 Γ o b C 2 v 16 {\displaystyle \Gamma _{o}^{b}C_{2v}^{16}} 12h ( b + c 2 / c : a : b ) : a ~ ⋅ 2 {\displaystyle \left({\tfrac {b+c}{2}}/c:a:b\right):{\tilde {a}}\cdot 2} ( 2 0 2 1 ∗ ⋅ ) {\displaystyle (2_{0}2_{1}{*}{\cdot })} ( ∗ ⋅ ∗ 1 ) {\displaystyle (*{\cdot }{*}_{1})} , [ ∗ : × 1 ] {\displaystyle [*{:}{\times }_{1}]} 41 Aea2 A b a 2 Γ o b C 2 v 17 {\displaystyle \Gamma _{o}^{b}C_{2v}^{17}} 13h ( b + c 2 / c : a : b ) : a ~ ⋅ 2 1 {\displaystyle \left({\tfrac {b+c}{2}}/c:a:b\right):{\tilde {a}}\cdot 2_{1}} ( 2 0 2 1 ∗ : ) {\displaystyle (2_{0}2_{1}{*}{:})} ( ∗ : ∗ 1 ) {\displaystyle (*{:}{*}_{1})} , ( ∗ ¯ : ∗ ¯ 1 ) {\displaystyle ({\bar {*}}{:}{\bar {*}}_{1})} 42 Fmm2 F m m 2 Γ o f C 2 v 18 {\displaystyle \Gamma _{o}^{f}C_{2v}^{18}} 17s ( a + c 2 / b + c 2 / a + b 2 : c : a : b ) : m ⋅ 2 {\displaystyle \left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:c:a:b\right):m\cdot 2} ( ∗ ⋅ 2 ⋅ 2 : 2 : 2 ) {\displaystyle (*{\cdot }2{\cdot }2{:}2{:}2)} [ ∗ 1 ⋅ ∗ 1 : ] {\displaystyle [{*}_{1}{\cdot }{*}_{1}{:}]} 43 Fdd2 F d d 2 Γ o f C 2 v 19 {\displaystyle \Gamma _{o}^{f}C_{2v}^{19}} 16h ( a + c 2 / b + c 2 / a + b 2 : c : a : b ) : 1 2 a c ~ ⊙ 2 {\displaystyle \left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:c:a:b\right):{\tfrac {1}{2}}{\widetilde {ac}}\odot 2} ( 2 0 2 1 × ) {\displaystyle (2_{0}2_{1}{\times })} ( ∗ 1 × ) {\displaystyle ({*}_{1}{\times })} 44 Imm2 I m m 2 Γ o v C 2 v 20 {\displaystyle \Gamma _{o}^{v}C_{2v}^{20}} 16s ( a + b + c 2 / c : a : b ) : m ⋅ 2 {\displaystyle \left({\tfrac {a+b+c}{2}}/c:a:b\right):m\cdot 2} ( 2 1 ∗ ⋅ 2 ⋅ 2 ) {\displaystyle (2_{1}{*}{\cdot }2{\cdot }2)} [ ∗ ⋅ × 1 ] {\displaystyle [*{\cdot }{\times }_{1}]} 45 Iba2 I b a 2 Γ o v C 2 v 21 {\displaystyle \Gamma _{o}^{v}C_{2v}^{21}} 15h ( a + b + c 2 / c : a : b ) : c ~ ⋅ 2 {\displaystyle \left({\tfrac {a+b+c}{2}}/c:a:b\right):{\tilde {c}}\cdot 2} ( 2 1 ∗ : 2 : 2 ) {\displaystyle (2_{1}{*}{:}2{:}2)} ( ∗ ¯ : ∗ ¯ 0 ) {\displaystyle ({\bar {*}}{:}{\bar {*}}_{0})} 46 Ima2 I m a 2 Γ o v C 2 v 22 {\displaystyle \Gamma _{o}^{v}C_{2v}^{22}} 14h ( a + b + c 2 / c : a : b ) : a ~ ⋅ 2 {\displaystyle \left({\tfrac {a+b+c}{2}}/c:a:b\right):{\tilde {a}}\cdot 2} ( 2 0 ∗ ⋅ 2 : 2 ) {\displaystyle (2_{0}{*}{\cdot }2{:}2)} ( ∗ ¯ ⋅ ∗ ¯ 1 ) {\displaystyle ({\bar {*}}{\cdot }{\bar {*}}_{1})} , [ ∗ : × 0 ] {\displaystyle [*{:}{\times }_{0}]} 47 2 m 2 m 2 m {\displaystyle {\tfrac {2}{m}}{\tfrac {2}{m}}{\tfrac {2}{m}}} ∗ 222 {\displaystyle *222} Pmmm P 2/m 2/m 2/m Γ o D 2 h 1 {\displaystyle \Gamma _{o}D_{2h}^{1}} 18s ( c : a : b ) ⋅ m : 2 ⋅ m {\displaystyle \left(c:a:b\right)\cdot m:2\cdot m} [ ∗ ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ] {\displaystyle [*{\cdot }2{\cdot }2{\cdot }2{\cdot }2]} 48 Pnnn P 2/n 2/n 2/n Γ o D 2 h 2 {\displaystyle \Gamma _{o}D_{2h}^{2}} 19h ( c : a : b ) ⋅ a b ~ : 2 ⊙ a c ~ {\displaystyle \left(c:a:b\right)\cdot {\widetilde {ab}}:2\odot {\widetilde {ac}}} ( 2 ∗ ¯ 1 2 0 2 0 ) {\displaystyle (2{\bar {*}}_{1}2_{0}2_{0})} 49 Pccm P 2/c 2/c 2/m Γ o D 2 h 3 {\displaystyle \Gamma _{o}D_{2h}^{3}} 17h ( c : a : b ) ⋅ m : 2 ⋅ c ~ {\displaystyle \left(c:a:b\right)\cdot m:2\cdot {\tilde {c}}} [ ∗ : 2 : 2 : 2 : 2 ] {\displaystyle [*{:}2{:}2{:}2{:}2]} ( ∗ 2 0 2 0 2 ⋅ 2 ) {\displaystyle (*2_{0}2_{0}2{\cdot }2)} 50 Pban P 2/b 2/a 2/n Γ o D 2 h 4 {\displaystyle \Gamma _{o}D_{2h}^{4}} 18h ( c : a : b ) ⋅ a b ~ : 2 ⊙ a ~ {\displaystyle \left(c:a:b\right)\cdot {\widetilde {ab}}:2\odot {\tilde {a}}} ( 2 ∗ ¯ 0 2 0 2 0 ) {\displaystyle (2{\bar {*}}_{0}2_{0}2_{0})} ( ∗ 2 0 2 0 2 : 2 ) {\displaystyle (*2_{0}2_{0}2{:}2)} 51 Pmma P 2₁/m 2/m 2/a Γ o D 2 h 5 {\displaystyle \Gamma _{o}D_{2h}^{5}} 14a ( c : a : b ) ⋅ a ~ : 2 ⋅ m {\displaystyle \left(c:a:b\right)\cdot {\tilde {a}}:2\cdot m} [ 2 0 2 0 ∗ ⋅ ] {\displaystyle [2_{0}2_{0}{*}{\cdot }]} [ ∗ ⋅ 2 : 2 ⋅ 2 : 2 ] {\displaystyle [*{\cdot }2{:}2{\cdot }2{:}2]} , [ ∗ 2 ⋅ 2 ⋅ 2 ⋅ 2 ] {\displaystyle [*2{\cdot }2{\cdot }2{\cdot }2]} 52 Pnna P 2/n 2₁/n 2/a Γ o D 2 h 6 {\displaystyle \Gamma _{o}D_{2h}^{6}} 17a ( c : a : b ) ⋅ a ~ : 2 ⊙ a c ~ {\displaystyle \left(c:a:b\right)\cdot {\tilde {a}}:2\odot {\widetilde {ac}}} ( 2 0 2 ∗ ¯ 1 ) {\displaystyle (2_{0}2{\bar {*}}_{1})} ( 2 0 ∗ 2 : 2 ) {\displaystyle (2_{0}{*}2{:}2)} , ( 2 ∗ ¯ 2 1 2 1 ) {\displaystyle (2{\bar {*}}2_{1}2_{1})} 53 Pmna P 2/m 2/n 2₁/a Γ o D 2 h 7 {\displaystyle \Gamma _{o}D_{2h}^{7}} 15a ( c : a : b ) ⋅ a ~ : 2 1 ⋅ a c ~ {\displaystyle \left(c:a:b\right)\cdot {\tilde {a}}:2_{1}\cdot {\widetilde {ac}}} [ 2 0 2 0 ∗ : ] {\displaystyle [2_{0}2_{0}{*}{:}]} ( ∗ 2 1 2 1 2 ⋅ 2 ) {\displaystyle (*2_{1}2_{1}2{\cdot }2)} , ( 2 0 ∗ 2 ⋅ 2 ) {\displaystyle (2_{0}{*}2{\cdot }2)} 54 Pcca P 2₁/c 2/c 2/a Γ o D 2 h 8 {\displaystyle \Gamma _{o}D_{2h}^{8}} 16a ( c : a : b ) ⋅ a ~ : 2 ⋅ c ~ {\displaystyle \left(c:a:b\right)\cdot {\tilde {a}}:2\cdot {\tilde {c}}} ( 2 0 2 ∗ ¯ 0 ) {\displaystyle (2_{0}2{\bar {*}}_{0})} ( ∗ 2 : 2 : 2 : 2 ) {\displaystyle (*2{:}2{:}2{:}2)} , ( ∗ 2 1 2 1 2 : 2 ) {\displaystyle (*2_{1}2_{1}2{:}2)} 55 Pbam P 2₁/b 2₁/a 2/m Γ o D 2 h 9 {\displaystyle \Gamma _{o}D_{2h}^{9}} 22a ( c : a : b ) ⋅ m : 2 ⊙ a ~ {\displaystyle \left(c:a:b\right)\cdot m:2\odot {\tilde {a}}} [ 2 0 2 0 × 0 ] {\displaystyle [2_{0}2_{0}{\times }_{0}]} ( ∗ 2 ⋅ 2 : 2 ⋅ 2 ) {\displaystyle (*2{\cdot }2{:}2{\cdot }2)} 56 Pccn P 2₁/c 2₁/c 2/n Γ o D 2 h 10 {\displaystyle \Gamma _{o}D_{2h}^{10}} 27a ( c : a : b ) ⋅ a b ~ : 2 ⋅ c ~ {\displaystyle \left(c:a:b\right)\cdot {\widetilde {ab}}:2\cdot {\tilde {c}}} ( 2 ∗ ¯ : 2 : 2 ) {\displaystyle (2{\bar {*}}{:}2{:}2)} ( 2 1 2 ∗ ¯ 0 ) {\displaystyle (2_{1}2{\bar {*}}_{0})} 57 Pbcm P 2/b 2₁/c 2₁/m Γ o D 2 h 11 {\displaystyle \Gamma _{o}D_{2h}^{11}} 23a ( c : a : b ) ⋅ m : 2 1 ⊙ c ~ {\displaystyle \left(c:a:b\right)\cdot m:2_{1}\odot {\tilde {c}}} ( 2 0 2 ∗ ¯ ⋅ ) {\displaystyle (2_{0}2{\bar {*}}{\cdot })} ( ∗ 2 : 2 ⋅ 2 : 2 ) {\displaystyle (*2{:}2{\cdot }2{:}2)} , [ 2 1 2 1 ∗ : ] {\displaystyle [2_{1}2_{1}{*}{:}]} 58 Pnnm P 2₁/n 2₁/n 2/m Γ o D 2 h 12 {\displaystyle \Gamma _{o}D_{2h}^{12}} 25a ( c : a : b ) ⋅ m : 2 ⊙ a c ~ {\displaystyle \left(c:a:b\right)\cdot m:2\odot {\widetilde {ac}}} [ 2 0 2 0 × 1 ] {\displaystyle [2_{0}2_{0}{\times }_{1}]} ( 2 1 ∗ 2 ⋅ 2 ) {\displaystyle (2_{1}{*}2{\cdot }2)} 59 Pmmn P 2₁/m 2₁/m 2/n Γ o D 2 h 13 {\displaystyle \Gamma _{o}D_{2h}^{13}} 24a ( c : a : b ) ⋅ a b ~ : 2 ⋅ m {\displaystyle \left(c:a:b\right)\cdot {\widetilde {ab}}:2\cdot m} ( 2 ∗ ¯ ⋅ 2 ⋅ 2 ) {\displaystyle (2{\bar {*}}{\cdot }2{\cdot }2)} [ 2 1 2 1 ∗ ⋅ ] {\displaystyle [2_{1}2_{1}{*}{\cdot }]} 60 Pbcn P 2₁/b 2/c 2₁/n Γ o D 2 h 14 {\displaystyle \Gamma _{o}D_{2h}^{14}} 26a ( c : a : b ) ⋅ a b ~ : 2 1 ⊙ c ~ {\displaystyle \left(c:a:b\right)\cdot {\widetilde {ab}}:2_{1}\odot {\tilde {c}}} ( 2 0 2 ∗ ¯ : ) {\displaystyle (2_{0}2{\bar {*}}{:})} ( 2 1 ∗ 2 : 2 ) {\displaystyle (2_{1}{*}2{:}2)} , ( 2 1 2 ∗ ¯ 1 ) {\displaystyle (2_{1}2{\bar {*}}_{1})} 61 Pbca P 2₁/b 2₁/c 2₁/a Γ o D 2 h 15 {\displaystyle \Gamma _{o}D_{2h}^{15}} 29a ( c : a : b ) ⋅ a ~ : 2 1 ⊙ c ~ {\displaystyle \left(c:a:b\right)\cdot {\tilde {a}}:2_{1}\odot {\tilde {c}}} ( 2 1 2 ∗ ¯ : ) {\displaystyle (2_{1}2{\bar {*}}{:})} 62 Pnma P 2₁/n 2₁/m 2₁/a Γ o D 2 h 16 {\displaystyle \Gamma _{o}D_{2h}^{16}} 28a ( c : a : b ) ⋅ a ~ : 2 1 ⊙ m {\displaystyle \left(c:a:b\right)\cdot {\tilde {a}}:2_{1}\odot m} ( 2 1 2 ∗ ¯ ⋅ ) {\displaystyle (2_{1}2{\bar {*}}{\cdot })} ( 2 ∗ ¯ ⋅ 2 : 2 ) {\displaystyle (2{\bar {*}}{\cdot }2{:}2)} , [ 2 1 2 1 × ] {\displaystyle [2_{1}2_{1}{\times }]} 63 Cmcm C 2/m 2/c 2₁/m Γ o b D 2 h 17 {\displaystyle \Gamma _{o}^{b}D_{2h}^{17}} 18a ( a + b 2 : c : a : b ) ⋅ m : 2 1 ⋅ c ~ {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right)\cdot m:2_{1}\cdot {\tilde {c}}} [ 2 0 2 1 ∗ ⋅ ] {\displaystyle [2_{0}2_{1}{*}{\cdot }]} ( ∗ 2 ⋅ 2 ⋅ 2 : 2 ) {\displaystyle (*2{\cdot }2{\cdot }2{:}2)} , [ 2 1 ∗ ⋅ 2 : 2 ] {\displaystyle [2_{1}{*}{\cdot }2{:}2]} 64 Cmce C 2/m 2/c 2₁/a Γ o b D 2 h 18 {\displaystyle \Gamma _{o}^{b}D_{2h}^{18}} 19a ( a + b 2 : c : a : b ) ⋅ a ~ : 2 1 ⋅ c ~ {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right)\cdot {\tilde {a}}:2_{1}\cdot {\tilde {c}}} [ 2 0 2 1 ∗ : ] {\displaystyle [2_{0}2_{1}{*}{:}]} ( ∗ 2 ⋅ 2 : 2 : 2 ) {\displaystyle (*2{\cdot }2{:}2{:}2)} , ( ∗ 2 1 2 ⋅ 2 : 2 ) {\displaystyle (*2_{1}2{\cdot }2{:}2)} 65 Cmmm C 2/m 2/m 2/m Γ o b D 2 h 19 {\displaystyle \Gamma _{o}^{b}D_{2h}^{19}} 19s ( a + b 2 : c : a : b ) ⋅ m : 2 ⋅ m {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right)\cdot m:2\cdot m} [ 2 0 ∗ ⋅ 2 ⋅ 2 ] {\displaystyle [2_{0}{*}{\cdot }2{\cdot }2]} [ ∗ ⋅ 2 ⋅ 2 ⋅ 2 : 2 ] {\displaystyle [*{\cdot }2{\cdot }2{\cdot }2{:}2]} 66 Cccm C 2/c 2/c 2/m Γ o b D 2 h 20 {\displaystyle \Gamma _{o}^{b}D_{2h}^{20}} 20h ( a + b 2 : c : a : b ) ⋅ m : 2 ⋅ c ~ {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right)\cdot m:2\cdot {\tilde {c}}} [ 2 0 ∗ : 2 : 2 ] {\displaystyle [2_{0}{*}{:}2{:}2]} ( ∗ 2 0 2 1 2 ⋅ 2 ) {\displaystyle (*2_{0}2_{1}2{\cdot }2)} 67 Cmme C 2/m 2/m 2/e Γ o b D 2 h 21 {\displaystyle \Gamma _{o}^{b}D_{2h}^{21}} 21h ( a + b 2 : c : a : b ) ⋅ a ~ : 2 ⋅ m {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right)\cdot {\tilde {a}}:2\cdot m} ( ∗ 2 0 2 ⋅ 2 ⋅ 2 ) {\displaystyle (*2_{0}2{\cdot }2{\cdot }2)} [ ∗ ⋅ 2 : 2 : 2 : 2 ] {\displaystyle [*{\cdot }2{:}2{:}2{:}2]} 68 Ccce C 2/c 2/c 2/e Γ o b D 2 h 22 {\displaystyle \Gamma _{o}^{b}D_{2h}^{22}} 22h ( a + b 2 : c : a : b ) ⋅ a ~ : 2 ⋅ c ~ {\displaystyle \left({\tfrac {a+b}{2}}:c:a:b\right)\cdot {\tilde {a}}:2\cdot {\tilde {c}}} ( ∗ 2 0 2 : 2 : 2 ) {\displaystyle (*2_{0}2{:}2{:}2)} ( ∗ 2 0 2 1 2 : 2 ) {\displaystyle (*2_{0}2_{1}2{:}2)} 69 Fmmm F 2/m 2/m 2/m Γ o f D 2 h 23 {\displaystyle \Gamma _{o}^{f}D_{2h}^{23}} 21s ( a + c 2 / b + c 2 / a + b 2 : c : a : b ) ⋅ m : 2 ⋅ m {\displaystyle \left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:c:a:b\right)\cdot m:2\cdot m} [ ∗ ⋅ 2 ⋅ 2 : 2 : 2 ] {\displaystyle [*{\cdot }2{\cdot }2{:}2{:}2]} 70 Fddd F 2/d 2/d 2/d Γ o f D 2 h 24 {\displaystyle \Gamma _{o}^{f}D_{2h}^{24}} 24h ( a + c 2 / b + c 2 / a + b 2 : c : a : b ) ⋅ 1 2 a b ~ : 2 ⊙ 1 2 a c ~ {\displaystyle \left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:c:a:b\right)\cdot {\tfrac {1}{2}}{\widetilde {ab}}:2\odot {\tfrac {1}{2}}{\widetilde {ac}}} ( 2 ∗ ¯ 2 0 2 1 ) {\displaystyle (2{\bar {*}}2_{0}2_{1})} 71 Immm I 2/m 2/m 2/m Γ o v D 2 h 25 {\displaystyle \Gamma _{o}^{v}D_{2h}^{25}} 20s ( a + b + c 2 / c : a : b ) ⋅ m : 2 ⋅ m {\displaystyle \left({\tfrac {a+b+c}{2}}/c:a:b\right)\cdot m:2\cdot m} [ 2 1 ∗ ⋅ 2 ⋅ 2 ] {\displaystyle [2_{1}{*}{\cdot }2{\cdot }2]} 72 Ibam I 2/b 2/a 2/m Γ o v D 2 h 26 {\displaystyle \Gamma _{o}^{v}D_{2h}^{26}} 23h ( a + b + c 2 / c : a : b ) ⋅ m : 2 ⋅ c ~ {\displaystyle \left({\tfrac {a+b+c}{2}}/c:a:b\right)\cdot m:2\cdot {\tilde {c}}} [ 2 1 ∗ : 2 : 2 ] {\displaystyle [2_{1}{*}{:}2{:}2]} ( ∗ 2 0 2 ⋅ 2 : 2 ) {\displaystyle (*2_{0}2{\cdot }2{:}2)} 73 Ibca I 2/b 2/c 2/a Γ o v D 2 h 27 {\displaystyle \Gamma _{o}^{v}D_{2h}^{27}} 21a ( a + b + c 2 / c : a : b ) ⋅ a ~ : 2 ⋅ c ~ {\displaystyle \left({\tfrac {a+b+c}{2}}/c:a:b\right)\cdot {\tilde {a}}:2\cdot {\tilde {c}}} ( ∗ 2 1 2 : 2 : 2 ) {\displaystyle (*2_{1}2{:}2{:}2)} 74 Imma I 2/m 2/m 2/a Γ o v D 2 h 28 {\displaystyle \Gamma _{o}^{v}D_{2h}^{28}} 20a ( a + b + c 2 / c : a : b ) ⋅ a ~ : 2 ⋅ m {\displaystyle \left({\tfrac {a+b+c}{2}}/c:a:b\right)\cdot {\tilde {a}}:2\cdot m} ( ∗ 2 1 2 ⋅ 2 ⋅ 2 ) {\displaystyle (*2_{1}2{\cdot }2{\cdot }2)} [ 2 0 ∗ ⋅ 2 : 2 ] {\displaystyle [2_{0}{*}{\cdot }2{:}2]}