International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by Th. Hahn

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. A. ch. 15.2, pp. 883-894

Table 15.2.1.3 

E. Koch,a* W. Fischera and U. Müllerb

a Institut für Mineralogie, Petrologie und Kristallographie, Philipps-Universität, D-35032 Marburg, Germany, and bFachbereich Chemie, Philipps-Universität, D-35032 Marburg, Germany
Correspondence e-mail:  kochelke@mailer.uni-marburg.de

Table 15.2.1.3 | top | pdf |
Euclidean normalizers of the monoclinic and orthorhombic space groups

For the restrictions of the cell metric of monoclinic space groups see text and Figs. 15.2.1.1 to 15.2.1.4. The symbols in parentheses following a space-group symbol refer to the location of the origin (`origin choice' in Part 7).

Space group [{\cal G}] Euclidean normalizer [{\cal N}\!_{\cal E}({\cal G})] Additional generators of [{\cal N}\!_{\cal E}({\cal G})] Index of [{\cal G}\ \hbox{in}\ {\cal N}\!_{\cal E}({\cal G})]
No. Hermann– Mauguin symbol Cell metric Symbol Basis vectors Translations Inversion through a centre at Further generators
3 P 121 General [P^{1}12/m1] [{1 \over 2}{\bf a},\varepsilon{\bf b},{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0   [(4\cdot \infty)\cdot 2\cdot 1]
    [a \!\gt\! c, \beta = 90^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z] [(4\cdot \infty)\cdot 2\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 120^{\circ}] [B^{1}mmm] [{\bf a}+{1 \over 2}{\bf c},] [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [x,y,x- z] [(4\cdot \infty)\cdot 2\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 120^{\circ}] [B^{1}mmm] [{1 \over 2}({\bf a}+ {\bf c})], [\varepsilon{\bf b}], [{1 \over 2}( {\bf - a}+ {\bf c})] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 z , y, x [(4\cdot \infty)\cdot 2\cdot 2]
    [a = c,\ \beta = 90^{\circ}] [P^{1}4/mmm] [{1 \over 2}{\bf c},{1 \over 2}{\bf a},\varepsilon {\bf b}] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z\hbox{;}\;z,y,x] [(4\cdot \infty)\cdot 2\cdot 4]
    [a = c,\ \beta = 120^{\circ}] [P^{1}6/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [\varepsilon {\bf b}] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 z , y, x; [\bar{x}+z,y,z] [(4\cdot \infty)\cdot 2\cdot 6]
3 P 112 General [P^{1}112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon {\bf c},] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0   [(4\cdot \infty)\cdot 2\cdot 1]
    [a \!\lt\! b,\;\gamma = 90^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x},y,z] [(4\cdot \infty)\cdot 2\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 120^{\circ}] [C^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf a}+ {\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x}+ y,y,z] [(4\cdot \infty)\cdot 2\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 120^{\circ}] [C^{1}mmm] [{1 \over 2}({\bf a- b})], [{1 \over 2}({\bf a}+ {\bf b})], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 y , x, z [(4\cdot \infty)\cdot 2\cdot 2]
    [a = b,\ \gamma = 90^{\circ}] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon {\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x},y,z\hbox{;}\;y,x,z] [(4\cdot \infty)\cdot 2\cdot 4]
    [a = b,\ \gamma = 120^{\circ}] [P^{1}6/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon {\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 y , x, z; [x,x- y,z] [(4\cdot \infty)\cdot 2\cdot 6]
4 [P12_{1}1] General [P^{1}12/m1] [{1 \over 2}{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0   [(4\cdot \infty)\cdot 2\cdot 1]
    [a \!\gt\! c,\;\beta = 90^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z] [(4\cdot \infty)\cdot 2\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 120^{\circ}] [B^{1}mmm] [{\bf a}+{1 \over 2}{\bf c}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [x,y,x- z] [(4\cdot \infty)\cdot 2\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 120^{\circ}] [B^{1}mmm] [{1 \over 2}({\bf a}+ {\bf c})], [\varepsilon{\bf b}], [{1 \over 2}(-{\bf a}+ {\bf c})] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 z , y, x [(4\cdot \infty)\cdot 2\cdot 2]
    [a = c,\ \beta = 90^{\circ}] [P^{1}4/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [\varepsilon {\bf b}] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z\hbox{;}\;z,y,x] [(4\cdot \infty)\cdot 2\cdot 4]
    [a = c,\ \beta = 120^{\circ}] [P^{1}6/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [\varepsilon {\bf b}] [{1 \over 2},0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 z , y, x; [\bar{x}+z,y,z] [(4\cdot \infty)\cdot 2\cdot 6]
4 [P112_{1}] General [P^{1}112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon {\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0   [(4\cdot \infty)\cdot 2\cdot 1]
    [a \!\lt\! b,\;\gamma = 90^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x},y,z] [(4\cdot \infty)\cdot 2\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 120^{\circ}] [C^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf a}+ {\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x}+ y,y,z] [(4\cdot \infty)\cdot 2\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 120^{\circ}] [C^{1}mmm] [{1 \over 2}({\bf a- b})], [{1 \over 2}({\bf a}+ {\bf b})], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 y , x, z [(4\cdot \infty)\cdot 2\cdot 2]
    [a = b,\ \gamma = 90^{\circ}] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon {\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x},y,z\hbox{;}\;y,x,z] [(4\cdot \infty)\cdot 2\cdot 4]
    [a = b,\ \gamma = 120^{\circ}] [P^{1}6/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon {\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 y , x, z; [x,x- y,z] [(4\cdot \infty)\cdot 2\cdot 6]
5 C 121 General [P^{1}12/m1] [{1 \over 2}{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [0,s,0\hbox{; }0, 0,{1 \over 2}] 0, 0, 0   [(2\cdot \infty)\cdot 2\cdot 1]
    [\beta = 90^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [0,s,0]; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{1}mmm] [{1 \over 2}({\bf a}+ {\bf c})], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [0,s,0\hbox{; }0, 0,{1 \over 2}] 0, 0, 0 [x,y,2x- z] [(2\cdot \infty)\cdot 2\cdot 2]
    [2\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [B^{1}mmm] [{1 \over 2}{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf a}+ {\bf c}] [0,s,0\hbox{; }0, 0,{1 \over 2}] 0, 0, 0 [\bar{x}+ z,y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [a = c\sqrt{2}], [\beta = 135^{\circ}] [P^{1}4/mmm] [-{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf c}], [\varepsilon {\bf b}] [0,s,0\hbox{; }0, 0,{1 \over 2}] 0, 0, 0 [x,y,2x- z]; [\bar{x}+z,y,z] [(2\cdot \infty)\cdot 2\cdot 4]
5 A 121 General [P^{1}12/m1] [{1 \over 2}{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0\hbox{; }0,s,0] 0, 0, 0   [(2\cdot \infty)\cdot 2\cdot 1]
    [\beta = 90^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [\varepsilon{\bf b},{1 \over 2}{\bf c}] [{1 \over 2},0, 0\hbox{; }0,s,0] 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}({\bf a}+ {\bf c})] [{1 \over 2},0, 0\hbox{; }0,s,0] 0, 0, 0 [\bar{x}+ 2z,y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [B^{1}mmm] [{\bf a}+{1 \over 2}{\bf c}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0\hbox{; }0,s,0] 0, 0, 0 [x,y,x- z] [(2\cdot \infty)\cdot 2\cdot 2]
    [c = a\sqrt{2}], [\beta = 135^{\circ}] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [-{1 \over 2}({\bf a}+ {\bf c})], [\varepsilon{\bf b}] [{1 \over 2},0, 0\hbox{; }0,s,0] 0, 0, 0 [x,y,x- z]; [\bar{x}+2z,y,z] [(2\cdot \infty)\cdot 2\cdot 4]
5 I 121 General [P^{1}12/m1] [{1 \over 2}{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0\hbox{; }0,s,0] 0, 0, 0   [(2\cdot \infty)\cdot 2\cdot 1]
    [a \!\gt\! c,\ \beta = 90^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0\hbox{; }0,s,0] 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] [P^{1}mmm] [{1 \over 2}({\bf a}+{\bf c})], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0\hbox{; }0,s,0] 0, 0, 0 [x,y,2x- z] [(2\cdot \infty)\cdot 2\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] [B^{1}mmm] [{1 \over 2}({\bf a}+{\bf c})], [\varepsilon{\bf b}][, ][{1 \over 2}(-{\bf a}+{\bf c})] [{1 \over 2},0, 0\hbox{; }0,s,0] 0, 0, 0 z , y, x [(2\cdot \infty)\cdot 2\cdot 2]
    [a = c,\ \beta = 90^{\circ}] [P^{1}4/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [\varepsilon{\bf b}] [{1 \over 2},0, 0\hbox{; }0,s,0] 0, 0, 0 [\bar{x},y,z\hbox{;}] z, y, x [(2\cdot \infty)\cdot 2\cdot 4]
5 A 112 General [P^{1}112/m] [{1 \over 2}{\bf a},{1 \over 2}{\bf b},\varepsilon{\bf c}] [{1 \over 2},0, 0\hbox{; }0, 0,t] 0, 0, 0   [(2\cdot \infty)\cdot 2\cdot 1]
    [\gamma = 90^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a},{1 \over 2}{\bf b},\varepsilon{\bf c}] [{1 \over 2},0, 0\hbox{; }0, 0,t] 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}({\bf a}+{\bf b})], [\varepsilon{\bf c}] [{1 \over 2},0, 0\hbox{; }0, 0,t] 0, 0, 0 [\bar{x}+2y,y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [2\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [C^{1}mmm] [{\bf a}+ {1 \over 2}{\bf b}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0\hbox{; }0, 0,t] 0, 0, 0 [x,x- y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [b = a\sqrt{2}], [\gamma = 135^{\circ}] [P^{1}4/mmm] [-{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf a}], [\varepsilon{\bf c}] [{1 \over 2},0, 0\hbox{; }0, 0,t] 0, 0, 0 [\bar{x}+ 2y,y,z]; [x,x-y,z] [(2\cdot \infty)\cdot 2\cdot 4]
5 B 112 General [P^{1}112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [0,{1 \over 2},0]; 0, 0, t 0, 0, 0   [(2\cdot \infty)\cdot 2\cdot 1]
    [\gamma = 90^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{1}mmm] [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [0,{1 \over 2},0\hbox{; }0, 0,t] 0, 0, 0 [x,2x-y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [C^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf a}+{\bf b}], [\varepsilon{\bf c}] [0,{1 \over 2},0\hbox{; }0, 0,t] 0, 0, 0 [\bar{x}+y,y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [a = b\sqrt{2}], [\gamma = 135^{\circ}] [P^{1}4/mmm] [{1 \over 2}{\bf b}], [-{1 \over 2}({\bf a}+{\bf b})], [\varepsilon{\bf c}] [0,{1 \over 2},0\hbox{; }0, 0,t] 0, 0, 0 [x,2x-y,z]; [\bar{x}+y,y,z] [(2\cdot \infty)\cdot 2\cdot 4]
5 I 112 General [P^{1}112/m] [{1 \over 2}{\bf a},{1 \over 2}{\bf b},\varepsilon{\bf c}] [{1 \over 2},0, 0\hbox{; }0, 0,t] 0, 0, 0   [(2\cdot \infty)\cdot 2\cdot 1]
    [a \!\lt\! b,\ \gamma\ = 90^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a},{1 \over 2}{\bf b},\varepsilon{\bf c}] [{1 \over 2},0, 0\hbox{; }0, 0,t] 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}({\bf a}+{\bf b})], [\varepsilon{\bf c}] [{1 \over 2},0, 0\hbox{; }0, 0,t] 0, 0, 0 [\bar{x}+2y,y,z] [(2\cdot \infty)\cdot 2\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] [C^{1}mmm] [{1 \over 2}({\bf a- b})], [{1 \over 2}({\bf a}+ {\bf b})], [\varepsilon{\bf c}] [{1 \over 2},0, 0\hbox{; }0, 0,t] 0, 0, 0 y , x, z [(2\cdot \infty)\cdot 2\cdot 2]
    [a = b,\ \gamma = 90^{\circ}] [P^{1}4/mmm] [{1 \over 2}{\bf a},{1 \over 2}{\bf b},\varepsilon{\bf c}] [{1 \over 2},0, 0\hbox{; }0, 0,t] 0, 0, 0 [\bar{x},y,z\hbox{; }y,x,z] [(2\cdot \infty)\cdot 2\cdot 4]
6 P 1m1 General [P^{2}12/m1] [\varepsilon_{1}{\bf a},{1 \over 2}{\bf b},\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0   [(2\cdot\infty^{2})\cdot 2\cdot 1]
    [a \!\gt\! c,\ \beta = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a},{1 \over 2}{\bf b},\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty^{2})\cdot 2\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 120^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+{1 \over 2}{\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [x,y,x-z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 120^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}(-{\bf a}+ {\bf c})] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 z , y, x [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [a = c,\ \beta = 90^{\circ}] [P^{2}4/mmm] [\varepsilon{\bf c},\varepsilon{\bf a},{1 \over 2}{\bf b}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x},y,z\hbox{;}\;z,y,x] [(2\cdot\infty^{2})\cdot 2\cdot 4]
    [a = c,\ \beta = 120^{\circ}] [P^{2}6/mmm] [\varepsilon{\bf c},\varepsilon{\bf a},{1 \over 2}{\bf b}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 z , y, x; [\bar{x}+z,y,z] [(2\cdot\infty^{2})\cdot 2\cdot 6]
6 P 11m General [P^{2}112/m] [\varepsilon_{1}{\bf a},\varepsilon_{2} {\bf b},{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0   [(2\cdot\infty^{2})\cdot 2\cdot 1]
    [a \!\lt\! b,\;\gamma = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a},\varepsilon_{2}{\bf b},{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty^{2})\cdot 2\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 120^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}({1 \over 2}{\bf a}+ {\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x}+ y,y,z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 120^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a- b})], [\varepsilon_{2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 y , x, z [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [a = b], [\gamma = 90^{\circ}] [P^{2}4/mmm] [\varepsilon{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z\hbox{;}\;y,x,z] [(2\cdot\infty^{2})\cdot 2\cdot 4]
    [a = b,\ \gamma = 120^{\circ}] [P^{2}6/mmm] [\varepsilon{\bf a},\varepsilon{\bf b},{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 y , x, z; [x,x-y,z] [(2\cdot\infty^{2})\cdot 2\cdot 6]
7 P 1c1 General [P^{2}12/m1] [\varepsilon_{1}{\bf a},{1 \over 2}{\bf b},\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0   [(2\cdot\infty^{2})\cdot 2\cdot 1]
    [\beta = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty^{2})\cdot 2\cdot 2]
    [\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}({\bf a}+ {\bf c})] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x}+ 2z,y,z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+{1 \over 2}{\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [x,y,x-z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [c = a\sqrt{2}], [\beta = 135^{\circ}] [P^{2}4/mmm] [\varepsilon{\bf a}], [-\varepsilon({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [x,y,x-z\hbox{;}] [\bar{x}+2z,y,z] [(2\cdot\infty^{2})\cdot 2\cdot 4]
7 P 1n1 General [P^{2}12/m1] [\varepsilon_{1}{\bf a},{1 \over 2}{\bf b},\varepsilon_{2}{\bf c}] [r,0, 0;] [0,{1 \over 2},0]; 0, 0, t 0, 0, 0   [(2\cdot\infty^{2})\cdot 2\cdot 1]
    [a \!\gt\! c,\ \beta = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a},{1 \over 2}{\bf b},\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0;] 0, 0, t 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty^{2})\cdot 2\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [x,y,2x-z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}( {\bf - a}+{\bf c})] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 z , y, x [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [a = c,\ \beta = 90^{\circ}] [P^{2}4/mmm] [\varepsilon{\bf c},\varepsilon{\bf a},{1 \over 2}{\bf b}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x},y,z\hbox{;}] z, y, x [(2\cdot\infty^{2})\cdot 2\cdot 4]
7 P 1a1 General [P^{2}12/m1] [\varepsilon_{1}{\bf a},{1 \over 2}{\bf b},\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0   [(2\cdot\infty^{2})\cdot 2\cdot 1]
    [\beta = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a},{1 \over 2}{\bf b},\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty^{2})\cdot 2\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [x,y,2x-z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [2\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}({1 \over 2}{\bf a}+ {\bf c})] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [\bar{x}+ z,y,z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [a = c\sqrt{2}], [\beta = 135^{\circ}] [P^{2}4/mmm] [-\varepsilon({\bf a}+ {\bf c})], [\varepsilon{\bf c}], [{1 \over 2}{\bf b}] [r,0, 0]; [0,{1 \over 2},0]; 0, 0, t 0, 0, 0 [x,y,2x-z]; [\bar{x}+z,y,z] [(2\cdot\infty^{2})\cdot 2\cdot 4]
7 P 11a General [P^{2}112/m] [\varepsilon_{1}{\bf a},\varepsilon_{2}{\bf b},{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0   [(2\cdot\infty^{2})\cdot 2\cdot 1]
    [\gamma = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a},\varepsilon_{2}{\bf b},{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty^{2})\cdot 2\cdot 2]
    [\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+ {\bf b})], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [x,2x-y,z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}({1 \over 2}{\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x}+ y,y,z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [a = b\sqrt{2}], [\gamma = 135^{\circ}] [P^{2}4/mmm] [\varepsilon{\bf b}], [-\varepsilon({\bf a}+ {\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [x,2x-y,z]; [x-y,\bar{y},z] [(2\cdot\infty^{2})\cdot 2\cdot 4]
7 P 11n General [P^{2}112/m] [\varepsilon_{1}{\bf a},\varepsilon_{2}{\bf b},{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0   [(2\cdot\infty^{2})\cdot 2\cdot 1]
    [a \!\lt\! b,\ \gamma = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a},\varepsilon_{2}{\bf b},{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty^{2})\cdot 2\cdot 2]
    [\cos \gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; 0, 0, [{1 \over 2}] 0, 0, 0 [\bar{x}+ 2y,y,z] [(2\cdot \infty^{2})\cdot 2\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a - b})], [\varepsilon_{2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; 0, s, 0; [0, 0,{1 \over 2}] 0, 0, 0 y , x, z [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [a = b,\ \gamma = 90^{\circ}] [P^{2}4/mmm] [\varepsilon{\bf a},\varepsilon{\bf b},{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0]; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z\hbox{;}] y, x, z [(2\cdot\infty^{2})\cdot 2\cdot 4]
7 P 11b General [P^{2}112/m] [\varepsilon_{1}{\bf a},\varepsilon_{2}{\bf b},{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0]; [0, 0,{1 \over 2}] 0, 0, 0   [(2\cdot\infty^{2})\cdot 2\cdot 1]
    [\gamma = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a},\varepsilon_{2}{\bf b},{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0]; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x},y,z] [(2\cdot \infty^{2})\cdot 2\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0]; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x} + 2y,y,z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [2\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+{1 \over 2}{\bf b})], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0]; [0, 0,{1 \over 2}] 0, 0, 0 [x,x-y,z] [(2\cdot\infty^{2})\cdot 2\cdot 2]
    [b = a\sqrt{2}], [\gamma = 135^{\circ}] [P^{2}4/mmm] [-\varepsilon({\bf a}+ {\bf b})], [\varepsilon{\bf a}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0]; [0, 0,{1 \over 2}] 0, 0, 0 [\bar{x}+ 2y,y,z]; [x,x-y,z] [(2\cdot\infty^{2})\cdot 2\cdot 4]
8 C 1m1 General [P^{2}12/m1] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [\beta = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [x,y,2x-z] [\infty^{2}\cdot 2\cdot 2]
    [2\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}({1 \over 2}{\bf a}+ {\bf c})] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x}+ z,y,z] [\infty^{2}\cdot 2\cdot 2]
    [a = c\sqrt{2}], [\beta = 135^{\circ}] [P^{2}4/mmm] [-\varepsilon({\bf a}+ {\bf c})], [\varepsilon{\bf c}], [{1 \over 2}{\bf b}] [r,0, 0]; [0, 0,t] 0, 0, 0 [x,y,2x-z]; [\bar{x}+z,y,z] [\infty^{2}\cdot 2\cdot 4]
8 A 1m1 General [P^{2}12/m1] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [\beta = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}({\bf a}+ {\bf c})] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x}+ 2z,y,z] [\infty^{2}\cdot 2\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+{1 \over 2}{\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [x,y,x-z] [\infty^{2}\cdot 2\cdot 2]
    [c = a\sqrt{2}], [\beta = 135^{\circ}] [P^{2}4/mmm] [\varepsilon{\bf a}], [-\varepsilon({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}] [r,0, 0]; [0, 0,t] 0, 0, 0 [x,y,x-z]; [\bar{x}+2z,y,z] [\infty^{2}\cdot 2\cdot 4]
8 I 1m1 General [P^{2}12/m1] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [a \!\gt\! c], [\beta = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [x,y,2x-z] [\infty^{2}\cdot 2\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}( {\bf - a}+{\bf c})] [r,0, 0]; [0, 0,t] 0, 0, 0 z , y, x [\infty^{2}\cdot 2\cdot 2]
    [a = c], [\beta = 90^{\circ}] [P^{2}4/mmm] [\varepsilon_{1}{\bf c}], [\varepsilon_{2}{\bf a}], [{1 \over 2}{\bf b}] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x},y,z\hbox{;}] z, y, x [\infty^{2}\cdot 2\cdot 4]
8 A 11m General [P^{2}112/m] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [\gamma = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\gamma = - a/b], [90 \lt\gamma \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x}+2y,y,z] [\infty^{2}\cdot 2\cdot 2]
    [2\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+{1 \over 2}{\bf b})], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [x,x-y,z] [\infty^{2}\cdot 2\cdot 2]
    [b = a\sqrt{2}], [\gamma = 135^{\circ}] [P^{2}4/mmm] [-\varepsilon({\bf a}+ {\bf b})], [\varepsilon{\bf a}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x}+ 2y,y,z]; [x,x-y,z] [\infty^{2}\cdot 2\cdot 4]
8 B 11m General [P^{2}112/m] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [\gamma = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+ {\bf b})], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [x,2x-y,z] [\infty^{2}\cdot 2\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}({1 \over 2}{\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x}+ y,y,z] [\infty^{2}\cdot 2\cdot 2]
    [a = b\sqrt{2}], [\gamma = 135^{\circ}] [P^{2}4/mmm] [\varepsilon_{2}{\bf b}], [-\varepsilon({\bf a}+ {\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [x,2x-y,z]; [\bar{x}+ y,y,z] [\infty^{2}\cdot 2\cdot 4]
8 I 11m General [P^{2}112/m] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [a \!\lt\! b], [\gamma = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x}+ 2y,y,z] [\infty^{2}\cdot 2\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a- b})], [\varepsilon_{2}({\bf a}+{\bf b}),{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 y , x, z [\infty^{2}\cdot 2\cdot 2]
    [a = b], [\gamma = 90^{\circ}] [P^{2}4/mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x},y,z\hbox{;}] y, x, z [\infty^{2}\cdot 2\cdot 4]
9 C 1c1 General [P^{2}12/m1] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [\beta = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [x,y,2x-z] [\infty^{2}\cdot 2\cdot 2]
    [2\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}bmb] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}({1 \over 2}{\bf a}+ {\bf c})] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x}+ z,y+{1 \over 4},z] [\infty^{2}\cdot 2\cdot 2]
    [a = c\sqrt{2}], [\beta = 135^{\circ}] [P^{2}4_{2}/mmc] [-\varepsilon({\bf a}+ {\bf c})], [\varepsilon{\bf c}], [{1 \over 2}{\bf b}] [r,0, 0]; [0, 0,t] 0, 0, 0 [x,y,2x-z]; [\bar{x}+z,y+{1 \over 4},z] [\infty^{2}\cdot 2\cdot 4]
9 A 1n1 General [P^{2}12/m1] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [\beta = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}({\bf a}+ {\bf c})] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x}+ 2z,y,z] [\infty^{2}\cdot 2\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] [P^{2}bmb] [\varepsilon_{1}({\bf a}+{1 \over 2}{\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [x,y+{1 \over 4},x-z] [\infty^{2}\cdot 2\cdot 2]
    [c = a\sqrt{2}], [\beta = 135^{\circ}] [P^{2}4_{2}/mmc] [\varepsilon{\bf a}], [-\varepsilon({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}] [r,0, 0]; [0, 0,t] 0, 0, 0 [x,y+{1 \over 4},x-z]; [\bar{x}+2z,y,z] [\infty^{2}\cdot 2\cdot 4]
9 I 1a1 General [P^{2}12/m1] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [a \!\gt\! c], [\beta = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}{\bf c}] [r,0, 0]; [0, 0,t] 0, 0, 0 [x,y,2x-z] [\infty^{2}\cdot 2\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] [P^{2}bmb] [\varepsilon_{1}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [\varepsilon_{2}( {\bf - a}+{\bf c})] [r,0, 0]; [0, 0,t] 0, 0, 0 [z,y+{1 \over 4},x] [\infty^{2}\cdot 2\cdot 2]
    [a = c], [\beta = 90^{\circ}] [P^{2}4_{2}/mmc] [\varepsilon{\bf c}], [\varepsilon{\bf a}], [{1 \over 2}{\bf b}] [r,0, 0]; [0, 0,t] 0, 0, 0 [\bar{x},y,z]; [z,y+{1 \over 4},x] [\infty^{2}\cdot 2\cdot 4]
9 A 11a General [P^{2}112/m] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [\gamma = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x}+2y,y,z] [\infty^{2}\cdot 2\cdot 2]
    [2\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}ccm] [\varepsilon_{1}({\bf a}+{1 \over 2}{\bf b})], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [x,x-y,z+{1 \over 4}] [\infty^{2}\cdot 2\cdot 2]
    [b = a\sqrt{2}], [\gamma = 135^{\circ}] [P^{2}4_{2}/mmc] [-\varepsilon({\bf a}+ {\bf b})], [\varepsilon{\bf a}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x}+ 2y,y,z]; [x,x-y,z+{1 \over 4}] [\infty^{2}\cdot 2\cdot 4]
9 B 11n General [P^{2}112/m] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [\gamma = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}mmm] [\varepsilon_{1}({\bf a}+ {\bf b})], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [x,2x-y,z] [\infty^{2}\cdot 2\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] [P^{2}ccm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}({1 \over 2}{\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x}+ y,y,z+{1 \over 4}] [\infty^{2}\cdot 2\cdot 2]
    [a = b\sqrt{2}], [\gamma =135^{\circ}] [P^{2}4_{2}/mmc] [\varepsilon{\bf b}], [-\varepsilon({\bf a}+ {\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [x,2x-y,z]; [\bar{x}+ y,y,z+{1 \over 4}] [\infty^{2}\cdot 2\cdot 4]
9 I 11b General [P^{2}112/m] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0   [\infty^{2}\cdot 2\cdot 1]
    [a \!\lt\! b], [\gamma = 90^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x},y,z] [\infty^{2}\cdot 2\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] [P^{2}mmm] [\varepsilon_{1}{\bf a}], [\varepsilon_{2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x}+ 2y,y,z] [\infty^{2}\cdot 2\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] [P^{2}ccm] [\varepsilon_{1}({\bf a}- {\bf b})], [\varepsilon_{2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [y,x,z+{1 \over 4}] [\infty^{2}\cdot 2\cdot 2]
    [a = b], [\gamma = 90^{\circ}] [P^{2}4_{2}/mmc] [\varepsilon{\bf a}], [\varepsilon{\bf b}], [{1 \over 2}{\bf c}] [r,0, 0]; [0,s,0] 0, 0, 0 [\bar{x},y,z]; [y,x,z+{1 \over 4}] [\infty^{2}\cdot 2\cdot 4]
10 [P12/m1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a \!\gt\! c], [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 120^{\circ}] Bmmm [{\bf a}+{1 \over 2}{\bf c}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,x-z] [8\cdot 1\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 120^{\circ}] Bmmm [{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}( {\bf - a}+ {\bf c})] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   z , y, x [8\cdot 1\cdot 2]
    [a = c], [\beta = 90^{\circ}] [P4/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z\hbox{;}\;z,y,x] [8\cdot 1\cdot 4]
    [a = c], [\beta = 120^{\circ}] [P6/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   z , y, x; [\bar{x}+z,y,z] [8\cdot 1\cdot 6]
10 [P112/m] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a \!\lt\! b], [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 120^{\circ}] Cmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf a}+ {\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ y,y,z] [8\cdot 1\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 120^{\circ}] Cmmm [{1 \over 2}({\bf a}- {\bf b})], [{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
    [a = b], [\gamma = 90^{\circ}] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z\hbox{;}\;y,x,z] [8\cdot 1\cdot 4]
    [a = b], [\gamma = 120^{\circ}] [P6/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z; [x,x-y,z] [8\cdot 1\cdot 6]
11 [P12_{1}/m1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a \!\gt\! c], [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 120^{\circ}] Bmmm [{\bf a}+{1 \over 2}{\bf c}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,x-z] [8\cdot 1\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 120^{\circ}] Bmmm [{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}( -{\bf a}+ {\bf c})] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   z , y, x [8\cdot 1\cdot 2]
    [a = c], [\beta = 90^{\circ}] [P4/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z\hbox{;}\;z,y,x] [8\cdot 1\cdot 4]
    [a = c], [\beta = 120^{\circ}] [P6/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   z , y, x; [\bar{x}+z,y,z] [8\cdot 1\cdot 6]
11 [P112_{1}/m] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a \!\lt\! b], [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 120^{\circ}] Cmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf a}+ {\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ y,y,z] [8\cdot 1\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 120^{\circ}] Cmmm [{1 \over 2}({\bf a}- {\bf b})], [{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
    [a = b], [\gamma = 90^{\circ}] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z\hbox{;}\;y,x,z] [8\cdot 1\cdot 4]
    [a = b], [\gamma = 120^{\circ}] [P6/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z; [x,x-y,z] [8\cdot 1\cdot 6]
12 [C12/m1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]     [4\cdot 1\cdot 1]
    [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b},{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   [x,y,2x-z] [4\cdot 1\cdot 2]
    [2\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Bmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf a}+ {\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   [\bar{x}+ z,y,z] [4\cdot 1\cdot 2]
    [a = c\sqrt{2}], [\beta = 135^{\circ}] [P4/mmm] [-{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf c}], [{1 \over 2} {\bf b}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   [x,y,2x-z]; [\bar{x}+z,y,z] [4\cdot 1\cdot 4]
12 [A12/m1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}({\bf a}+ {\bf c})] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+ 2z,y,z] [4\cdot 1\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Bmmm [{\bf a}+{1 \over 2}{\bf c}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,y,x-z] [4\cdot 1\cdot 2]
    [c = a\sqrt{2}], [\beta = 135^{\circ}] [P4/mmm] [{1 \over 2}{\bf a}], [-{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,y,x-z]; [\bar{x}+2z,y,z] [4\cdot 1\cdot 4]
12 [I12/m1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [a \!\gt\! c], [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] Pmmm [{1 \over 2}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,y,2x-z] [4\cdot 1\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] Bmmm [{1 \over 2}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}( -{\bf a}+{\bf c})] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   z , y, x [4\cdot 1\cdot 2]
    [a = c], [\beta = 90^{\circ}] [P4/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z\hbox{;}] z, y, x [4\cdot 1\cdot 4]
12 [A112/m] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+2y,y,z] [4\cdot 1\cdot 2]
    [2\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Cmmm [{\bf a}+ {1 \over 2}{\bf b}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,x-y,z] [4\cdot 1\cdot 2]
    [b = a\sqrt{2}], [\gamma = 135^{\circ}] [P4/mmm] [-{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+ 2y,y,z]; [x,x-y,z] [4\cdot 1\cdot 4]
12 [B112/m] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,2x-y,z] [4\cdot 1\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Cmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf a}+{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+y,y,z] [4\cdot 1\cdot 2]
    [a = b\sqrt{2}], [\gamma = 135^{\circ}] [P4/mmm] [{1 \over 2}{\bf b}], [-{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,2x-y,z]; [\bar{x}+y,y,z] [4\cdot 1\cdot 4]
12 [I112/m] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [a \!\lt\! b], [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+2y,y,z] [4\cdot 1\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] Cmmm [{1 \over 2}({\bf a}- {\bf b})], [{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   y , x, z [4\cdot 1\cdot 2]
    [a = b], [\gamma = 90^{\circ}] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z\hbox{;}] y, x, z [4\cdot 1\cdot 4]
13 [P12/c1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}({\bf a}+ {\bf c})] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ 2z,y,z] [8\cdot 1\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Bmmm [{\bf a}+{1 \over 2}{\bf c}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,x-z] [8\cdot 1\cdot 2]
    [c = a\sqrt{2}], [\beta = 135^{\circ}] [P4/mmm] [{1 \over 2}{\bf a}], [-{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,x-z]; [\bar{x}+2z,y,z] [8\cdot 1\cdot 4]
13 [P12/n1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a \!\gt\! c], [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] Pmmm [{1 \over 2}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,2x-z] [8\cdot 1\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] Bmmm [{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}( -{\bf a}+ {\bf c})] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   z , y, x [8\cdot 1\cdot 2]
    [a = c], [\beta = 90^{\circ}] [P4/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z\hbox{;}] z, y, x [8\cdot 1\cdot 4]
13 [P12/a1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,2x-z] [8\cdot 1\cdot 2]
    [2\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Bmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf a}+ {\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ z,y,z] [8\cdot 1\cdot 2]
    [a = c\sqrt{2}], [\beta = 135^{\circ}] [P4/mmm] [-{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf c}], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,2x-z]; [\bar{x}+z,y,z] [8\cdot 1\cdot 4]
13 [P112/a] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,2x-y,z] [8\cdot 1\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Cmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf a}+{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ y,y,z] [8\cdot 1\cdot 2]
    [a = b\sqrt{2}], [\gamma = 135^{\circ}] [P4/mmm] [{1 \over 2}{\bf b}], [-{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,2x-y,z]; [\bar{x}+ y,y,z] [8\cdot 1\cdot 4]
13 [P112/n] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a \!\lt\! b], [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ 2y,y,z] [8\cdot 1\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] Cmmm [{1 \over 2}({\bf a}- {\bf b})], [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
    [a = b], [\gamma = 90^{\circ}] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z\hbox{;}] y, x, z [8\cdot 1\cdot 4]
13 [P112/b] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+2y,y,z] [8\cdot 1\cdot 2]
    [2\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Cmmm [{\bf a}+{1 \over 2}{\bf b}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,x-y,z] [8\cdot 1\cdot 2]
    [b = a\sqrt{2}], [\gamma = 135^{\circ}] [P4/mmm] [-{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ 2y,y,z]; [x,x-y,z] [8\cdot 1\cdot 4]
14 [P12_{1}/c1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}({\bf a}+ {\bf c})] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ 2z,y,z] [8\cdot 1\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Bmmm [{\bf a}+{1 \over 2}{\bf c}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,x-z] [8\cdot 1\cdot 2]
    [c = a\sqrt{2}], [\beta = 135^{\circ}] [P4/mmm] [{1 \over 2}{\bf a}], [-{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,x-z]; [\bar{x}+2z,y,z] [8\cdot 1\cdot 4]
14 [P12_{1}/n1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a \!\gt\! c], [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] Pmmm [{1 \over 2}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,2x-z] [8\cdot 1\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] Bmmm [{1 \over 2}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}( -{\bf a}+ {\bf c})] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   z , y, x [8\cdot 1\cdot 2]
    [a = c], [\beta = 90^{\circ}] [P4/mmm] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z\hbox{;}] z, y, x [8\cdot 1\cdot 4]
14 [P12_{1}/a1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,2x-z] [8\cdot 1\cdot 2]
    [2\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Bmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf a}+ {\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ z,y,z] [8\cdot 1\cdot 2]
    [a = c\sqrt{2}], [\beta = 135^{\circ}] [P4/mmm] [-{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf c}], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,y,2x-z]; [\bar{x}+z,y,z] [8\cdot 1\cdot 4]
14 [P112_{1}/a] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,2x-y,z] [8\cdot 1\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Cmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf a}+{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ y,y,z] [8\cdot 1\cdot 2]
    [a = b\sqrt{2}], [\gamma = 135^{\circ}] [P4/mmm] [{1 \over 2}{\bf b}], [-{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,2x-y,z]; [\bar{x}+ y,y,z] [8\cdot 1\cdot 4]
14 [P112_{1}/n] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a \!\lt\! b], [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ 2y,y,z] [8\cdot 1\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] Cmmm [{1 \over 2}({\bf a}- {\bf b})], [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
    [a = b], [\gamma = 90^{\circ}] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z\hbox{;}] y, x, z [8\cdot 1\cdot 4]
14 [P112_{1}/b] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [8\cdot 1\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+2y,y,z] [8\cdot 1\cdot 2]
    [2\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Cmmm [{\bf a}+{1 \over 2}{\bf b}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [x,x-y,z] [8\cdot 1\cdot 2]
    [b = a\sqrt{2}], [\gamma = 135^{\circ}] [P4/mmm] [-{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [\bar{x}+ 2y,y,z]; [x,x-y,z] [8\cdot 1\cdot 4]
15 [C12/c1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]     [4\cdot 1\cdot 1]
    [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b},{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   [x,y,2x-z] [4\cdot 1\cdot 2]
    [2\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Bbmb [(n2/mn)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf a}+ {\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   [\bar{x}+ z+{1 \over 4}], [y+{1 \over 4},z] [4\cdot 1\cdot 2]
    [a = c\sqrt{2}], [\beta = 135^{\circ}] [P4_{2}/mmc] [(2/m2/mn)] [-{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf c}], [{1 \over 2} {\bf b}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   [x,y,2x-z]; [\bar{x}+z+{1 \over 4}], [y+{1 \over 4},z] [4\cdot 1\cdot 4]
15 [A12/n1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\beta = - a/c], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}({\bf a}+ {\bf c})] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+ 2z,y,z] [4\cdot 1\cdot 2]
    [2\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 135^{\circ}] Bbmb [(n2/mn)] [{\bf a}+{1 \over 2}{\bf c}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,y+{1 \over 4}], [x-z+{1 \over 4}] [4\cdot 1\cdot 2]
    [c = a\sqrt{2}], [\beta = 135^{\circ}] [P4_{2}/mmc] [(2/m2/mn)] [{1 \over 2}{\bf a}], [-{1 \over 2}({\bf a}+ {\bf c})], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+2z,y,z]; [x,y+{1 \over 4}], [x-z+{1 \over 4}] [4\cdot 1\cdot 4]
15 [I12/a1] General [P12/m1] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [a \!\gt\! c], [\beta = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\beta = - c/a], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] Pmmm [{1 \over 2}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,y,2x-z] [4\cdot 1\cdot 2]
    [a = c], [90 \!\lt\! \beta \!\lt\! 180^{\circ}] Bbmb [(n2/mn)] [{1 \over 2}({\bf a}+{\bf c})], [{1 \over 2}{\bf b}], [{1 \over 2}( -{\bf a}+ {\bf c})] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [z+{1 \over 4}], [y+{1 \over 4}], [x+{1 \over 4}] [4\cdot 1\cdot 2]
    [a = c], [\beta = 90^{\circ}] [P4_{2}/mmc] [(2/m2/mn)] [{1 \over 2}{\bf c}], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z]; [z+{1 \over 4}], [y+{1 \over 4}], [x+{1 \over 4}] [4\cdot 1\cdot 4]
15 [A112/a] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+2y,y,z] [4\cdot 1\cdot 2]
    [2\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Cccm [(nn2/m)] [{\bf a}+ {1 \over 2}{\bf b}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,x-y+{1 \over 4}], [z+{1 \over 4}] [4\cdot 1\cdot 2]
    [b = a\sqrt{2}], [\gamma = 135^{\circ}] [P4_{2}/mmc] [(2/m2/mn)] [-{1 \over 2}({\bf a}+ {\bf b})], [{1 \over 2}{\bf a}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+ 2y,y,z]; [x,x-y+{1 \over 4}], [z+{1 \over 4}] [4\cdot 1\cdot 4]
15 [B112/n] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,\bar{y},z] [4\cdot 1\cdot 2]
    [\cos\gamma = - b/a], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Pmmm [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,2x-y,z] [4\cdot 1\cdot 2]
    [2\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 135^{\circ}] Cccm [(nn2/m)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf a}+{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+y+{1 \over 4}], [y,z+{1 \over 4}] [4\cdot 1\cdot 2]
    [a = b\sqrt{2}], [\gamma = 135^{\circ}] [P4_{2}/mmc] [(2/m2/mn)] [{1 \over 2}{\bf b}], [-{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [x,2x-y,z]; [\bar{x}+y+{1 \over 4}], [y,z+{1 \over 4}] [4\cdot 1\cdot 4]
15 [I112/b] General [P112/m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [a \!\lt\! b], [\gamma = 90^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z] [4\cdot 1\cdot 2]
    [\cos\gamma = - a/b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}({\bf a}+{\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x}+2y,y,z] [4\cdot 1\cdot 2]
    [a = b], [90 \!\lt\! \gamma \!\lt\! 180^{\circ}] Cccm [(nn2/m)] [{1 \over 2}({\bf a} - {\bf b})], [{1 \over 2}({\bf a} + {\bf b})], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [y+{1 \over 4}], [x+{1 \over 4}], [z+{1 \over 4}] [4\cdot 1\cdot 2]
    [a = b], [\gamma = 90^{\circ}] [P4_{2}/mmc] [(2/m2/mn)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [\bar{x},y,z]; [y+{1 \over 4}], [x+{1 \over 4}], [z+{1 \over 4}] [4\cdot 1\cdot 4]
16 P 222 [a \neq b \neq c \neq a] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}] 0, 0, 0   [8\cdot 2\cdot 1]
    [a = b \neq c] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}] 0, 0, 0 y , x, z [8\cdot 2\cdot 2]
    [a = b = c] [Pm\bar{3}m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}] 0, 0, 0 [z,x,y]; [y,x,z] [8\cdot 2\cdot 6]
17 [P222_{1}] [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}] 0, 0, 0   [8\cdot 2\cdot 1]
    [a = b] [P4_{2}/mmc] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}] 0, 0, 0 [y,x,z+{1 \over 4}] [8\cdot 2\cdot 2]
18 [P2_{1}2_{1}2] [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}] 0, 0, 0   [8\cdot 2\cdot 1]
    [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}] 0, 0, 0 y , x, z [8\cdot 2\cdot 2]
19 [P2_{1}2_{1}2_{1}] [a \neq b \neq c \neq a] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}] 0, 0, 0   [8\cdot 2\cdot 1]
    [a = b \neq c] [P4_{2}/mmc] [(2/m2/mn)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}] 0, 0, 0 [y+{1 \over 4}], [x+{1 \over 4}], [z+{1 \over 4}] [8\cdot 2\cdot 2]
    [a = b = c] [Pm\bar{3}n] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}] 0, 0, 0 z , x, y; [y+{1 \over 4}], [x+{1 \over 4}], [z+{1 \over 4}] [8\cdot 2\cdot 6]
20 [C222_{1}] [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}] 0, 0, 0   [4\cdot 2\cdot 1]
    [a = b] [P4_{2}/mmc] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}] 0, 0, 0 [y,x,z+{1 \over 4}] [4\cdot 2\cdot 2]
21 C 222 [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}] 0, 0, 0   [4\cdot 2\cdot 1]
    [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}] 0, 0, 0 y , x, z [4\cdot 2\cdot 2]
22 F 222 [a \neq b \neq c \neq a] Immm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 4},{1 \over 4},{1 \over 4}] 0, 0, 0   [4\cdot 2\cdot 1]
    [a = b \neq c] [I4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 4},{1 \over 4},{1 \over 4}] 0, 0, 0 y , x, z [4\cdot 2\cdot 2]
    [a = b = c] [Im\bar{3}m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 4},{1 \over 4},{1 \over 4}] 0, 0, 0 [z,x,y]; [y,x,z] [4\cdot 2\cdot 6]
23 I 222 [a \neq b \neq c \neq a] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0] 0, 0, 0   [4\cdot 2\cdot 1]
    [a = b \neq c] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0] 0, 0, 0 y , x, z [4\cdot 2\cdot 2]
    [a = b = c] [Pm\bar{3}m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0] 0, 0, 0 [z,x,y]; [y,x,z] [4\cdot 2\cdot 6]
24 [I2_{1}2_{1}2_{1}] [a \neq b \neq c \neq a] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0] 0, 0, 0   [4\cdot 2\cdot 1]
    [a = b \neq c] [P4_{2}/mmc] [(2/m2/mn)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0] 0, 0, 0 [y+{1 \over 4}], [x+{1 \over 4}], [z+{1 \over 4}] [4\cdot 2\cdot 2]
    [a = b = c] [Pm\bar{3}n] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0] 0, 0, 0 z , x, y; [y+{1 \over 4}], [x+{1 \over 4}], [z+{1 \over 4}] [4\cdot 2\cdot 6]
25 Pmm 2 [a \neq b] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0   [(4 \cdot \infty)\cdot 2\cdot 1]
    [a = b] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0 y , x, z [(4 \cdot \infty)\cdot 2\cdot 2]
26 [Pmc2_{1}]   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0   [(4 \cdot \infty)\cdot 2\cdot 1]
27 Pcc 2 [a \neq b] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0   [(4 \cdot \infty)\cdot 2\cdot 1]
    [a = b] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0 y , x, z [(4 \cdot \infty)\cdot 2\cdot 2]
28 Pma 2   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0   [(4 \cdot \infty)\cdot 2\cdot 1]
29 [Pca2_{1}]   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0   [(4 \cdot \infty)\cdot 2\cdot 1]
30 Pnc 2   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0   [(4 \cdot \infty)\cdot 2\cdot 1]
31 [Pmn2_{1}]   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0   [(4 \cdot \infty)\cdot 2\cdot 1]
32 Pba 2 [a \neq b] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0   [(4 \cdot \infty)\cdot 2\cdot 1]
    [a = b] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0 y , x, z [(4 \cdot \infty)\cdot 2\cdot 2]
33 [Pna2_{1}]   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0   [(4 \cdot \infty)\cdot 2\cdot 1]
34 Pnn 2 [a \neq b] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0   [(4 \cdot \infty)\cdot 2\cdot 1]
    [a = b] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,t] 0, 0, 0 y , x, z [(4 \cdot \infty)\cdot 2\cdot 2]
35 Cmm 2 [a \neq b] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0   [(2 \cdot \infty)\cdot 2\cdot 1]
    [a = b] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0 y , x, z [(2 \cdot \infty)\cdot 2\cdot 2]
36 [Cmc2_{1}]   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0   [(2 \cdot \infty)\cdot 2\cdot 1]
37 Ccc 2 [a \neq b] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0   [(2 \cdot \infty)\cdot 2\cdot 1]
    [a = b] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0 y , x, z [(2 \cdot \infty)\cdot 2\cdot 2]
38 Amm 2   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0   [(2 \cdot \infty)\cdot 2\cdot 1]
39 Aem 2   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0   [(2 \cdot \infty)\cdot 2\cdot 1]
40 Ama 2   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0   [(2 \cdot \infty)\cdot 2\cdot 1]
41 Aea 2   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0   [(2 \cdot \infty)\cdot 2\cdot 1]
42 Fmm 2 [a \neq b] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [0, 0,t] 0, 0, 0   [\infty \cdot 2\cdot 1]
    [a = b] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [0, 0,t] 0, 0, 0 y , x, z [\infty \cdot 2\cdot 2]
43 Fdd 2 [a \neq b] [P^{1}ban\ (222)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [0, 0,t] [{1 \over 8},{1 \over 8},0]   [\infty \cdot 2\cdot 1]
    [a = b] [P^{1}4/nbm\ (\bar{4}2m)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [0, 0,t] [{1 \over 8},{1 \over 8},0] y , x, z [\infty \cdot 2\cdot 2]
44 Imm 2 [a \neq b] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0   [(2 \cdot \infty)\cdot 2\cdot 1]
    [a = b] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0 y , x, z [(2 \cdot \infty)\cdot 2\cdot 2]
45 Iba 2 [a \neq b] [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0   [(2 \cdot \infty)\cdot 2\cdot 1]
    [a = b] [P^{1}4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0 y , x, z [(2 \cdot \infty)\cdot 2\cdot 2]
46 Ima 2   [P^{1}mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [\varepsilon{\bf c}] [{1 \over 2},0, 0]; [0, 0,t] 0, 0, 0   [(2 \cdot \infty)\cdot 2\cdot 1]
47 Pmmm [a \neq b \neq c \neq a] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a = b \neq c] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
    [a = b = c] [Pm\bar{3}m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [z,x,y]; [y,x,z] [8\cdot 1\cdot 6]
48 Pnnn (both origins) [a \neq b \neq c \neq a] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
  [a = b \neq c] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
    [a = b = c] [Pm\bar{3}m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   [z,x,y]; [y,x,z] [8\cdot 1\cdot 6]
49 Pccm [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
50 Pban (both origins) [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
  [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
51 Pmma   Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
52 Pnna   Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
53 Pmna   Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
54 Pcca   Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
55 Pbam [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
56 Pccn [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
57 Pbcm   Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
58 Pnnm [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
59 Pmmn (both origins) [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
  [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   y , x, z [8\cdot 1\cdot 2]
60 Pbcn   Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
61 Pbca [a \neq b] or [b \neq c] or [a \neq c] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
    [a = b = c] [Pm\bar{3}] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]   z , x, y [8\cdot 1\cdot 3]
62 Pnma   Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]; [0, 0,{1 \over 2}]     [8\cdot 1\cdot 1]
63 Cmcm   Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]     [4\cdot 1\cdot 1]
64 Cmce   Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]     [4\cdot 1\cdot 1]
65 Cmmm [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]     [4\cdot 1\cdot 1]
    [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   y , x, z [4\cdot 1\cdot 2]
66 Cccm [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]     [4\cdot 1\cdot 1]
    [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   y , x, z [4\cdot 1\cdot 2]
67 Cmme [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]     [4\cdot 1\cdot 1]
    [a = b] [P4/mmm] (mmm) [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   [y+{1 \over 4},x-{1 \over 4},z] [4\cdot 1\cdot 2]
68 [Ccce\;(222)] [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]     [4\cdot 1\cdot 1]
    [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   y , x, z [4\cdot 1\cdot 2]
68 [Ccce\ (\bar{1})] [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]     [4\cdot 1\cdot 1]
    [a = b] [P4/mmm] (mmm) [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0, 0,{1 \over 2}]   [y+{1 \over 4},x-{1 \over 4},z] [4\cdot 1\cdot 2]
69 Fmmm [a \neq b \neq c \neq a] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]     [2\cdot 1\cdot 1]
    [a = b \neq c] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]   y , x, z [2\cdot 1\cdot 2]
    [a = b = c] [Pm\bar{3}m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]   [z,x,y]; [y,x,z] [2\cdot 1\cdot 6]
70 [Fddd\ (222)] [a \neq b \neq c \neq a] [Pnnn\ (222)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]     [2\cdot 1\cdot 1]
    [a = b \neq c] [P4_{2}/ nnm\ (\bar{4}2m)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]   [\bar{y},\bar{x},z] [2\cdot 1\cdot 2]
    [a = b = c] [Pn\bar{3}m\ (\bar{4}3m)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]   [z,x,y]; [y,x,z] [2\cdot 1\cdot 6]
70 [Fddd\ (\bar{1})] [a \neq b \neq c \neq a] [Pnnn\ (\bar{1})] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]     [2\cdot 1\cdot 1]
    [a = b \neq c] [P4_{2}/nnm] [(2/m \hbox{ at } 0,{1 \over 2},0)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]   y , x, z [2\cdot 1\cdot 2]
    [a = b = c] [Pn\bar{3}m\ (\bar{3}m)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]   [z,x,y]; [y,x,z] [2\cdot 1\cdot 6]
71 Immm [a \neq b \neq c \neq a] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [a = b \neq c] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   y , x, z [4\cdot 1\cdot 2]
    [a = b = c] [Pm\bar{3}m] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [z,x,y]; [y,x,z] [4\cdot 1\cdot 6]
72 Ibam [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [a = b] [P4/mmm] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   y , x, z [4\cdot 1\cdot 2]
73 Ibca [a \neq b \neq c \neq a] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [a = b \neq c] [P4_{2}/mmc] [(2/m2/mn)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [y+{1 \over 4}], [x+{1 \over 4}], [z+{1 \over 4}] [4\cdot 1\cdot 2]
    [a = b = c] [Pm\bar{3}n] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   z , x, y; [4\cdot 1\cdot 6]
              [y+{1 \over 4}], [x+{1 \over 4}], [z+{1 \over 4}]  
74 Imma [a \neq b] Pmmm [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]     [4\cdot 1\cdot 1]
    [a = b] [P4_{2}/mmc] [(2/m2/mn)] [{1 \over 2}{\bf a}], [{1 \over 2}{\bf b}], [{1 \over 2}{\bf c}] [{1 \over 2},0, 0]; [0,{1 \over 2},0]   [y+{1 \over 4}], [x-{1 \over 4}], [z+{1 \over 4}] [4\cdot 1\cdot 2]