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Wyckoff Positions: Trigonal & Hexagonal

三方晶系 (Trigonal)、六方晶系 (Hexagonal) に属する空間群のワイコフ位置(Wyckoff letter)の一覧をまとめました。ワイコフ位置の概念やサイトシンメトリー (Site symmetry) 記号の読み方については別ページで解説しています。

  • Serial No.: Serial number (1~530)
  • ITA No.: Number listed on the International Tables for Crystallography, Vol A. (1~230)
  • SG symbol: Space group symbol (HM full notation)
  • M: Multiplicity
  • W: Wyckoff Letter
  • SS: Site Symmetry
  • Position: Equivalent position
Serial No. ITA No. SG symbol M W SS Positions
430 143 (P 3) ((0,0,0)+)
3 (d) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z)
1 (c) (3,.,.) (frac{2}{3},frac{1}{3},z)
1 (b) (3,.,.) (frac{1}{3},frac{2}{3},z)
1 (a) (3,.,.) (0,0,z)
431 144 (P 3_1) ((0,0,0)+)
3 (a) (1) (x,y,z) (bar{y},x+bar{y},z+frac{1}{3}) (bar{x}+y,bar{x},z+frac{2}{3})
432 145 (P 3_2) ((0,0,0)+)
3 (a) (1) (x,y,z) (bar{y},x+bar{y},z+frac{2}{3}) (bar{x}+y,bar{x},z+frac{1}{3})
433 146 (R 3) ((0,0,0)+) ( (frac{2}{3},frac{1}{3},frac{1}{3})+ ) ( (frac{1}{3},frac{2}{3},frac{2}{3})+ )
9 (b) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z)
3 (a) (3,.) (0,0,z)
434 146 (R 3) ((0,0,0)+)
3 (b) (1) (x,y,z) (z,x,y) (y,z,x)
1 (a) (3,.) (x,x,x)
435 147 (P bar{3}) ((0,0,0)+)
6 (g) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},bar{z})
(y,bar{x}+y,bar{z}) (x+bar{y},x,bar{z})
3 (f) (bar{1}) (frac{1}{2},0,frac{1}{2}) (0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
3 (e) (bar{1}) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0)
2 (d) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},bar{z})
2 (c) (3,.,.) (0,0,z) (0,0,bar{z})
1 (b) (bar{3},.,.) (0,0,frac{1}{2})
1 (a) (bar{3},.,.) (0,0,0)
436 148 (R bar{3}) ((0,0,0)+) ( (frac{2}{3},frac{1}{3},frac{1}{3})+ ) ( (frac{1}{3},frac{2}{3},frac{2}{3})+ )
18 (f) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},bar{z})
(y,bar{x}+y,bar{z}) (x+bar{y},x,bar{z})
9 (e) (bar{1}) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0)
9 (d) (bar{1}) (frac{1}{2},0,frac{1}{2}) (0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
6 (c) (3,.) (0,0,z) (0,0,bar{z})
3 (b) (bar{3},.) (0,0,frac{1}{2})
3 (a) (bar{3},.) (0,0,0)
437 148 (R bar{3}) ((0,0,0)+)
6 (f) (1) (x,y,z) (z,x,y) (y,z,x) (bar{x},bar{y},bar{z})
(bar{z},bar{x},bar{y}) (bar{y},bar{z},bar{x})
3 (e) (bar{1}) (0,frac{1}{2},frac{1}{2}) (frac{1}{2},0,frac{1}{2}) (frac{1}{2},frac{1}{2},0)
3 (d) (bar{1}) (frac{1}{2},0,0) (0,frac{1}{2},0) (0,0,frac{1}{2})
2 (c) (3,.) (x,x,x) (bar{x},bar{x},bar{x})
1 (b) (bar{3},.) (frac{1}{2},frac{1}{2},frac{1}{2})
1 (a) (bar{3},.) (0,0,0)
438 149 (P 3 1 2) ((0,0,0)+)
6 (l) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{y},bar{x},bar{z})
(bar{x}+y,y,bar{z}) (x,x+bar{y},bar{z})
3 (k) (.,.,2) (x,bar{x},frac{1}{2}) (x,2x,frac{1}{2}) (2bar{x},bar{x},frac{1}{2})
3 (j) (.,.,2) (x,bar{x},0) (x,2x,0) (2bar{x},bar{x},0)
2 (i) (3,.,.) (frac{2}{3},frac{1}{3},z) (frac{2}{3},frac{1}{3},bar{z})
2 (h) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{1}{3},frac{2}{3},bar{z})
2 (g) (3,.,.) (0,0,z) (0,0,bar{z})
1 (f) (3,.,2) (frac{2}{3},frac{1}{3},frac{1}{2})
1 (e) (3,.,2) (frac{2}{3},frac{1}{3},0)
1 (d) (3,.,2) (frac{1}{3},frac{2}{3},frac{1}{2})
1 (c) (3,.,2) (frac{1}{3},frac{2}{3},0)
1 (b) (3,.,2) (0,0,frac{1}{2})
1 (a) (3,.,2) (0,0,0)
439 150 (P 3 2 1) ((0,0,0)+)
6 (g) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (y,x,bar{z})
(x+bar{y},bar{y},bar{z}) (bar{x},bar{x}+y,bar{z})
3 (f) (.,2,.) (x,0,frac{1}{2}) (0,x,frac{1}{2}) (bar{x},bar{x},frac{1}{2})
3 (e) (.,2,.) (x,0,0) (0,x,0) (bar{x},bar{x},0)
2 (d) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},bar{z})
2 (c) (3,.,.) (0,0,z) (0,0,bar{z})
1 (b) (3,2,.) (0,0,frac{1}{2})
1 (a) (3,2,.) (0,0,0)
440 151 (P 3_1 1 2) ((0,0,0)+)
6 (c) (1) (x,y,z) (bar{y},x+bar{y},z+frac{1}{3}) (bar{x}+y,bar{x},z+frac{2}{3}) (bar{y},bar{x},bar{z}+frac{2}{3})
(bar{x}+y,y,bar{z}+frac{1}{3}) (x,x+bar{y},bar{z})
3 (b) (.,.,2) (x,bar{x},frac{5}{6}) (x,2x,frac{1}{6}) (2bar{x},bar{x},frac{1}{2})
3 (a) (.,.,2) (x,bar{x},frac{1}{3}) (x,2x,frac{2}{3}) (2bar{x},bar{x},0)
441 152 (P 3_1 2 1) ((0,0,0)+)
6 (c) (1) (x,y,z) (bar{y},x+bar{y},z+frac{1}{3}) (bar{x}+y,bar{x},z+frac{2}{3}) (y,x,bar{z})
(x+bar{y},bar{y},bar{z}+frac{2}{3}) (bar{x},bar{x}+y,bar{z}+frac{1}{3})
3 (b) (.,2,.) (x,0,frac{5}{6}) (0,x,frac{1}{6}) (bar{x},bar{x},frac{1}{2})
3 (a) (.,2,.) (x,0,frac{1}{3}) (0,x,frac{2}{3}) (bar{x},bar{x},0)
442 153 (P 3_2 1 2) ((0,0,0)+)
6 (c) (1) (x,y,z) (bar{y},x+bar{y},z+frac{2}{3}) (bar{x}+y,bar{x},z+frac{1}{3}) (bar{y},bar{x},bar{z}+frac{1}{3})
(bar{x}+y,y,bar{z}+frac{2}{3}) (x,x+bar{y},bar{z})
3 (b) (.,.,2) (x,bar{x},frac{1}{6}) (x,2x,frac{5}{6}) (2bar{x},bar{x},frac{1}{2})
3 (a) (.,.,2) (x,bar{x},frac{2}{3}) (x,2x,frac{1}{3}) (2bar{x},bar{x},0)
443 154 (P 3_2 2 1) ((0,0,0)+)
6 (c) (1) (x,y,z) (bar{y},x+bar{y},z+frac{2}{3}) (bar{x}+y,bar{x},z+frac{1}{3}) (y,x,bar{z})
(x+bar{y},bar{y},bar{z}+frac{1}{3}) (bar{x},bar{x}+y,bar{z}+frac{2}{3})
3 (b) (.,2,.) (x,0,frac{1}{6}) (0,x,frac{5}{6}) (bar{x},bar{x},frac{1}{2})
3 (a) (.,2,.) (x,0,frac{2}{3}) (0,x,frac{1}{3}) (bar{x},bar{x},0)
444 155 (R 3 2) ((0,0,0)+) ( (frac{2}{3},frac{1}{3},frac{1}{3})+ ) ( (frac{1}{3},frac{2}{3},frac{2}{3})+ )
18 (f) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (y,x,bar{z})
(x+bar{y},bar{y},bar{z}) (bar{x},bar{x}+y,bar{z})
9 (e) (.,2) (x,0,frac{1}{2}) (0,x,frac{1}{2}) (bar{x},bar{x},frac{1}{2})
9 (d) (.,2) (x,0,0) (0,x,0) (bar{x},bar{x},0)
6 (c) (3,.) (0,0,z) (0,0,bar{z})
3 (b) (3,2) (0,0,frac{1}{2})
3 (a) (3,2) (0,0,0)
445 155 (R 3 2) ((0,0,0)+)
6 (f) (1) (x,y,z) (z,x,y) (y,z,x) (bar{y},bar{x},bar{z})
(bar{x},bar{z},bar{y}) (bar{z},bar{y},bar{x})
3 (e) (.,2) (frac{1}{2},y,bar{y}) (bar{y},frac{1}{2},y) (y,bar{y},frac{1}{2})
3 (d) (.,2) (0,y,bar{y}) (bar{y},0,y) (y,bar{y},0)
2 (c) (3,.) (x,x,x) (bar{x},bar{x},bar{x})
1 (b) (3,2) (frac{1}{2},frac{1}{2},frac{1}{2})
1 (a) (3,2) (0,0,0)
446 156 (P 3 m 1) ((0,0,0)+)
6 (e) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{y},bar{x},z)
(bar{x}+y,y,z) (x,x+bar{y},z)
3 (d) (.,m,.) (x,bar{x},z) (x,2x,z) (2bar{x},bar{x},z)
1 (c) (3,m,.) (frac{2}{3},frac{1}{3},z)
1 (b) (3,m,.) (frac{1}{3},frac{2}{3},z)
1 (a) (3,m,.) (0,0,z)
447 157 (P 3 1 m) ((0,0,0)+)
6 (d) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (y,x,z)
(x+bar{y},bar{y},z) (bar{x},bar{x}+y,z)
3 (c) (.,.,m) (x,0,z) (0,x,z) (bar{x},bar{x},z)
2 (b) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z)
1 (a) (3,.,m) (0,0,z)
448 158 (P 3 c 1) ((0,0,0)+)
6 (d) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{y},bar{x},z+frac{1}{2})
(bar{x}+y,y,z+frac{1}{2}) (x,x+bar{y},z+frac{1}{2})
2 (c) (3,.,.) (frac{2}{3},frac{1}{3},z) (frac{2}{3},frac{1}{3},z+frac{1}{2})
2 (b) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{1}{3},frac{2}{3},z+frac{1}{2})
2 (a) (3,.,.) (0,0,z) (0,0,z+frac{1}{2})
449 159 (P 3 1 c) ((0,0,0)+)
6 (c) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (y,x,z+frac{1}{2})
(x+bar{y},bar{y},z+frac{1}{2}) (bar{x},bar{x}+y,z+frac{1}{2})
2 (b) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z+frac{1}{2})
2 (a) (3,.,.) (0,0,z) (0,0,z+frac{1}{2})
450 160 (R 3 m) ((0,0,0)+) ( (frac{2}{3},frac{1}{3},frac{1}{3})+ ) ( (frac{1}{3},frac{2}{3},frac{2}{3})+ )
18 (c) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{y},bar{x},z)
(bar{x}+y,y,z) (x,x+bar{y},z)
9 (b) (.,m) (x,bar{x},z) (x,2x,z) (2bar{x},bar{x},z)
3 (a) (3,m) (0,0,z)
451 160 (R 3 m) ((0,0,0)+)
6 (c) (1) (x,y,z) (z,x,y) (y,z,x) (y,x,z)
(x,z,y) (z,y,x)
3 (b) (.,m) (x,x,z) (z,x,x) (x,z,x)
1 (a) (3,m) (x,x,x)
452 161 (R 3 c) ((0,0,0)+) ( (frac{2}{3},frac{1}{3},frac{1}{3})+ ) ( (frac{1}{3},frac{2}{3},frac{2}{3})+ )
18 (b) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{y},bar{x},z+frac{1}{2})
(bar{x}+y,y,z+frac{1}{2}) (x,x+bar{y},z+frac{1}{2})
6 (a) (3,.) (0,0,z) (0,0,z+frac{1}{2})
453 161 (R 3 c) ((0,0,0)+)
6 (b) (1) (x,y,z) (z,x,y) (y,z,x) (y+frac{1}{2},x+frac{1}{2},z+frac{1}{2})
(x+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) (z+frac{1}{2},y+frac{1}{2},x+frac{1}{2})
2 (a) (3,.) (x,x,x) (x+frac{1}{2},x+frac{1}{2},x+frac{1}{2})
454 162 (P bar{3} 1 2/m) ((0,0,0)+)
12 (l) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{y},bar{x},bar{z})
(bar{x}+y,y,bar{z}) (x,x+bar{y},bar{z}) (bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z})
(x+bar{y},x,bar{z}) (y,x,z) (x+bar{y},bar{y},z) (bar{x},bar{x}+y,z)
6 (k) (.,.,m) (x,0,z) (0,x,z) (bar{x},bar{x},z) (0,bar{x},bar{z})
(bar{x},0,bar{z}) (x,x,bar{z})
6 (j) (.,.,2) (x,bar{x},frac{1}{2}) (x,2x,frac{1}{2}) (2bar{x},bar{x},frac{1}{2}) (bar{x},x,frac{1}{2})
(bar{x},2bar{x},frac{1}{2}) (2x,x,frac{1}{2})
6 (i) (.,.,2) (x,bar{x},0) (x,2x,0) (2bar{x},bar{x},0) (bar{x},x,0)
(bar{x},2bar{x},0) (2x,x,0)
4 (h) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{1}{3},frac{2}{3},bar{z}) (frac{2}{3},frac{1}{3},bar{z}) (frac{2}{3},frac{1}{3},z)
3 (g) (.,.,2/m) (frac{1}{2},0,frac{1}{2}) (0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
3 (f) (.,.,2/m) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0)
2 (e) (3,.,m) (0,0,z) (0,0,bar{z})
2 (d) (3,.,2) (frac{1}{3},frac{2}{3},frac{1}{2}) (frac{2}{3},frac{1}{3},frac{1}{2})
2 (c) (3,.,2) (frac{1}{3},frac{2}{3},0) (frac{2}{3},frac{1}{3},0)
1 (b) (bar{3},.,m) (0,0,frac{1}{2})
1 (a) (bar{3},.,m) (0,0,0)
455 163 (P bar{3} 1 2/c) ((0,0,0)+)
12 (i) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{y},bar{x},bar{z}+frac{1}{2})
(bar{x}+y,y,bar{z}+frac{1}{2}) (x,x+bar{y},bar{z}+frac{1}{2}) (bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z})
(x+bar{y},x,bar{z}) (y,x,z+frac{1}{2}) (x+bar{y},bar{y},z+frac{1}{2}) (bar{x},bar{x}+y,z+frac{1}{2})
6 (h) (.,.,2) (x,bar{x},frac{1}{4}) (x,2x,frac{1}{4}) (2bar{x},bar{x},frac{1}{4}) (bar{x},x,frac{3}{4})
(bar{x},2bar{x},frac{3}{4}) (2x,x,frac{3}{4})
6 (g) (bar{1}) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0) (0,frac{1}{2},frac{1}{2})
(frac{1}{2},0,frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
4 (f) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{1}{3},frac{2}{3},bar{z}+frac{1}{2}) (frac{2}{3},frac{1}{3},bar{z}) (frac{2}{3},frac{1}{3},z+frac{1}{2})
4 (e) (3,.,.) (0,0,z) (0,0,bar{z}+frac{1}{2}) (0,0,bar{z}) (0,0,z+frac{1}{2})
2 (d) (3,.,2) (frac{2}{3},frac{1}{3},frac{1}{4}) (frac{1}{3},frac{2}{3},frac{3}{4})
2 (c) (3,.,2) (frac{1}{3},frac{2}{3},frac{1}{4}) (frac{2}{3},frac{1}{3},frac{3}{4})
2 (b) (bar{3},.,.) (0,0,0) (0,0,frac{1}{2})
2 (a) (3,.,2) (0,0,frac{1}{4}) (0,0,frac{3}{4})
456 164 (P bar{3} 2/m 1) ((0,0,0)+)
12 (j) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (y,x,bar{z})
(x+bar{y},bar{y},bar{z}) (bar{x},bar{x}+y,bar{z}) (bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z})
(x+bar{y},x,bar{z}) (bar{y},bar{x},z) (bar{x}+y,y,z) (x,x+bar{y},z)
6 (i) (.,m,.) (x,bar{x},z) (x,2x,z) (2bar{x},bar{x},z) (bar{x},x,bar{z})
(2x,x,bar{z}) (bar{x},2bar{x},bar{z})
6 (h) (.,2,.) (x,0,frac{1}{2}) (0,x,frac{1}{2}) (bar{x},bar{x},frac{1}{2}) (bar{x},0,frac{1}{2})
(0,bar{x},frac{1}{2}) (x,x,frac{1}{2})
6 (g) (.,2,.) (x,0,0) (0,x,0) (bar{x},bar{x},0) (bar{x},0,0)
(0,bar{x},0) (x,x,0)
3 (f) (.,2/m,.) (frac{1}{2},0,frac{1}{2}) (0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
3 (e) (.,2/m,.) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0)
2 (d) (3,m,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},bar{z})
2 (c) (3,m,.) (0,0,z) (0,0,bar{z})
1 (b) (bar{3},m,.) (0,0,frac{1}{2})
1 (a) (bar{3},m,.) (0,0,0)
457 165 (P bar{3} 2/c 1) ((0,0,0)+)
12 (g) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (y,x,bar{z}+frac{1}{2})
(x+bar{y},bar{y},bar{z}+frac{1}{2}) (bar{x},bar{x}+y,bar{z}+frac{1}{2}) (bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z})
(x+bar{y},x,bar{z}) (bar{y},bar{x},z+frac{1}{2}) (bar{x}+y,y,z+frac{1}{2}) (x,x+bar{y},z+frac{1}{2})
6 (f) (.,2,.) (x,0,frac{1}{4}) (0,x,frac{1}{4}) (bar{x},bar{x},frac{1}{4}) (bar{x},0,frac{3}{4})
(0,bar{x},frac{3}{4}) (x,x,frac{3}{4})
6 (e) (bar{1}) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0) (0,frac{1}{2},frac{1}{2})
(frac{1}{2},0,frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
4 (d) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},bar{z}+frac{1}{2}) (frac{2}{3},frac{1}{3},bar{z}) (frac{1}{3},frac{2}{3},z+frac{1}{2})
4 (c) (3,.,.) (0,0,z) (0,0,bar{z}+frac{1}{2}) (0,0,bar{z}) (0,0,z+frac{1}{2})
2 (b) (bar{3},.,.) (0,0,0) (0,0,frac{1}{2})
2 (a) (3,2,.) (0,0,frac{1}{4}) (0,0,frac{3}{4})
458 166 (R bar{3} 2/m) ((0,0,0)+) ( (frac{2}{3},frac{1}{3},frac{1}{3})+ ) ( (frac{1}{3},frac{2}{3},frac{2}{3})+ )
36 (i) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (y,x,bar{z})
(x+bar{y},bar{y},bar{z}) (bar{x},bar{x}+y,bar{z}) (bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z})
(x+bar{y},x,bar{z}) (bar{y},bar{x},z) (bar{x}+y,y,z) (x,x+bar{y},z)
18 (h) (.,m) (x,bar{x},z) (x,2x,z) (2bar{x},bar{x},z) (bar{x},x,bar{z})
(2x,x,bar{z}) (bar{x},2bar{x},bar{z})
18 (g) (.,2) (x,0,frac{1}{2}) (0,x,frac{1}{2}) (bar{x},bar{x},frac{1}{2}) (bar{x},0,frac{1}{2})
(0,bar{x},frac{1}{2}) (x,x,frac{1}{2})
18 (f) (.,2) (x,0,0) (0,x,0) (bar{x},bar{x},0) (bar{x},0,0)
(0,bar{x},0) (x,x,0)
9 (e) (.,2/m) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0)
9 (d) (.,2/m) (frac{1}{2},0,frac{1}{2}) (0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
6 (c) (3,m) (0,0,z) (0,0,bar{z})
3 (b) (bar{3},m) (0,0,frac{1}{2})
3 (a) (bar{3},m) (0,0,0)
459 166 (R bar{3} 2/m) ((0,0,0)+)
12 (i) (1) (x,y,z) (z,x,y) (y,z,x) (bar{y},bar{x},bar{z})
(bar{x},bar{z},bar{y}) (bar{z},bar{y},bar{x}) (bar{x},bar{y},bar{z}) (bar{z},bar{x},bar{y})
(bar{y},bar{z},bar{x}) (y,x,z) (x,z,y) (z,y,x)
6 (h) (.,m) (x,x,z) (z,x,x) (x,z,x) (bar{x},bar{x},bar{z})
(bar{x},bar{z},bar{x}) (bar{z},bar{x},bar{x})
6 (g) (.,2) (x,bar{x},frac{1}{2}) (frac{1}{2},x,bar{x}) (bar{x},frac{1}{2},x) (bar{x},x,frac{1}{2})
(frac{1}{2},bar{x},x) (x,frac{1}{2},bar{x})
6 (f) (.,2) (x,bar{x},0) (0,x,bar{x}) (bar{x},0,x) (bar{x},x,0)
(0,bar{x},x) (x,0,bar{x})
3 (e) (.,2/m) (0,frac{1}{2},frac{1}{2}) (frac{1}{2},0,frac{1}{2}) (frac{1}{2},frac{1}{2},0)
3 (d) (.,2/m) (frac{1}{2},0,0) (0,frac{1}{2},0) (0,0,frac{1}{2})
2 (c) (3,m) (x,x,x) (bar{x},bar{x},bar{x})
1 (b) (bar{3},m) (frac{1}{2},frac{1}{2},frac{1}{2})
1 (a) (bar{3},m) (0,0,0)
460 167 (R bar{3} 2/c) ((0,0,0)+) ( (frac{2}{3},frac{1}{3},frac{1}{3})+ ) ( (frac{1}{3},frac{2}{3},frac{2}{3})+ )
36 (f) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (y,x,bar{z}+frac{1}{2})
(x+bar{y},bar{y},bar{z}+frac{1}{2}) (bar{x},bar{x}+y,bar{z}+frac{1}{2}) (bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z})
(x+bar{y},x,bar{z}) (bar{y},bar{x},z+frac{1}{2}) (bar{x}+y,y,z+frac{1}{2}) (x,x+bar{y},z+frac{1}{2})
18 (e) (.,2) (x,0,frac{1}{4}) (0,x,frac{1}{4}) (bar{x},bar{x},frac{1}{4}) (bar{x},0,frac{3}{4})
(0,bar{x},frac{3}{4}) (x,x,frac{3}{4})
18 (d) (bar{1}) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0) (0,frac{1}{2},frac{1}{2})
(frac{1}{2},0,frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
12 (c) (3,.) (0,0,z) (0,0,bar{z}+frac{1}{2}) (0,0,bar{z}) (0,0,z+frac{1}{2})
6 (b) (bar{3},.) (0,0,0) (0,0,frac{1}{2})
6 (a) (3,2) (0,0,frac{1}{4}) (0,0,frac{3}{4})
461 167 (R bar{3} 2/c) ((0,0,0)+)
12 (f) (1) (x,y,z) (z,x,y) (y,z,x) (bar{y}+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2})
(bar{x}+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) (bar{z}+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) (bar{x},bar{y},bar{z}) (bar{z},bar{x},bar{y})
(bar{y},bar{z},bar{x}) (y+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) (x+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) (z+frac{1}{2},y+frac{1}{2},x+frac{1}{2})
6 (e) (.,2) (x,bar{x}+frac{1}{2},frac{1}{4}) (frac{1}{4},x,bar{x}+frac{1}{2}) (bar{x}+frac{1}{2},frac{1}{4},x) (bar{x},x+frac{1}{2},frac{3}{4})
(frac{3}{4},bar{x},x+frac{1}{2}) (x+frac{1}{2},frac{3}{4},bar{x})
6 (d) (bar{1}) (frac{1}{2},0,0) (0,frac{1}{2},0) (0,0,frac{1}{2}) (frac{1}{2},0,frac{1}{2})
(0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},0)
4 (c) (3,.) (x,x,x) (bar{x}+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) (bar{x},bar{x},bar{x}) (x+frac{1}{2},x+frac{1}{2},x+frac{1}{2})
2 (b) (bar{3},.) (0,0,0) (frac{1}{2},frac{1}{2},frac{1}{2})
2 (a) (3,2) (frac{1}{4},frac{1}{4},frac{1}{4}) (frac{3}{4},frac{3}{4},frac{3}{4})
462 168 (P 6) ((0,0,0)+)
6 (d) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z)
(y,bar{x}+y,z) (x+bar{y},x,z)
3 (c) (2,.,.) (frac{1}{2},0,z) (0,frac{1}{2},z) (frac{1}{2},frac{1}{2},z)
2 (b) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z)
1 (a) (6,.,.) (0,0,z)
463 169 (P 6_1) ((0,0,0)+)
6 (a) (1) (x,y,z) (bar{y},x+bar{y},z+frac{1}{3}) (bar{x}+y,bar{x},z+frac{2}{3}) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{5}{6}) (x+bar{y},x,z+frac{1}{6})
464 170 (P 6_5) ((0,0,0)+)
6 (a) (1) (x,y,z) (bar{y},x+bar{y},z+frac{2}{3}) (bar{x}+y,bar{x},z+frac{1}{3}) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{1}{6}) (x+bar{y},x,z+frac{5}{6})
465 171 (P 6_2) ((0,0,0)+)
6 (c) (1) (x,y,z) (bar{y},x+bar{y},z+frac{2}{3}) (bar{x}+y,bar{x},z+frac{1}{3}) (bar{x},bar{y},z)
(y,bar{x}+y,z+frac{2}{3}) (x+bar{y},x,z+frac{1}{3})
3 (b) (2,.,.) (frac{1}{2},frac{1}{2},z) (frac{1}{2},0,z+frac{2}{3}) (0,frac{1}{2},z+frac{1}{3})
3 (a) (2,.,.) (0,0,z) (0,0,z+frac{2}{3}) (0,0,z+frac{1}{3})
466 172 (P 6_4) ((0,0,0)+)
6 (c) (1) (x,y,z) (bar{y},x+bar{y},z+frac{1}{3}) (bar{x}+y,bar{x},z+frac{2}{3}) (bar{x},bar{y},z)
(y,bar{x}+y,z+frac{1}{3}) (x+bar{y},x,z+frac{2}{3})
3 (b) (2,.,.) (frac{1}{2},frac{1}{2},z) (frac{1}{2},0,z+frac{1}{3}) (0,frac{1}{2},z+frac{2}{3})
3 (a) (2,.,.) (0,0,z) (0,0,z+frac{1}{3}) (0,0,z+frac{2}{3})
467 173 (P 6_3) ((0,0,0)+)
6 (c) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{1}{2}) (x+bar{y},x,z+frac{1}{2})
2 (b) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z+frac{1}{2})
2 (a) (3,.,.) (0,0,z) (0,0,z+frac{1}{2})
468 174 (P bar{6}) ((0,0,0)+)
6 (l) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (x,y,bar{z})
(bar{y},x+bar{y},bar{z}) (bar{x}+y,bar{x},bar{z})
3 (k) (m,.,.) (x,y,frac{1}{2}) (bar{y},x+bar{y},frac{1}{2}) (bar{x}+y,bar{x},frac{1}{2})
3 (j) (m,.,.) (x,y,0) (bar{y},x+bar{y},0) (bar{x}+y,bar{x},0)
2 (i) (3,.,.) (frac{2}{3},frac{1}{3},z) (frac{2}{3},frac{1}{3},bar{z})
2 (h) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{1}{3},frac{2}{3},bar{z})
2 (g) (3,.,.) (0,0,z) (0,0,bar{z})
1 (f) (bar{6},.,.) (frac{2}{3},frac{1}{3},frac{1}{2})
1 (e) (bar{6},.,.) (frac{2}{3},frac{1}{3},0)
1 (d) (bar{6},.,.) (frac{1}{3},frac{2}{3},frac{1}{2})
1 (c) (bar{6},.,.) (frac{1}{3},frac{2}{3},0)
1 (b) (bar{6},.,.) (0,0,frac{1}{2})
1 (a) (bar{6},.,.) (0,0,0)
469 175 (P 6/m) ((0,0,0)+)
12 (l) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z)
(y,bar{x}+y,z) (x+bar{y},x,z) (bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z})
(x+bar{y},x,bar{z}) (x,y,bar{z}) (bar{y},x+bar{y},bar{z}) (bar{x}+y,bar{x},bar{z})
6 (k) (m,.,.) (x,y,frac{1}{2}) (bar{y},x+bar{y},frac{1}{2}) (bar{x}+y,bar{x},frac{1}{2}) (bar{x},bar{y},frac{1}{2})
(y,bar{x}+y,frac{1}{2}) (x+bar{y},x,frac{1}{2})
6 (j) (m,.,.) (x,y,0) (bar{y},x+bar{y},0) (bar{x}+y,bar{x},0) (bar{x},bar{y},0)
(y,bar{x}+y,0) (x+bar{y},x,0)
6 (i) (2,.,.) (frac{1}{2},0,z) (0,frac{1}{2},z) (frac{1}{2},frac{1}{2},z) (frac{1}{2},0,bar{z})
(0,frac{1}{2},bar{z}) (frac{1}{2},frac{1}{2},bar{z})
4 (h) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z) (frac{2}{3},frac{1}{3},bar{z}) (frac{1}{3},frac{2}{3},bar{z})
3 (g) (2/m,.,.) (frac{1}{2},0,frac{1}{2}) (0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
3 (f) (2/m,.,.) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0)
2 (e) (6,.,.) (0,0,z) (0,0,bar{z})
2 (d) (bar{6},.,.) (frac{1}{3},frac{2}{3},frac{1}{2}) (frac{2}{3},frac{1}{3},frac{1}{2})
2 (c) (bar{6},.,.) (frac{1}{3},frac{2}{3},0) (frac{2}{3},frac{1}{3},0)
1 (b) (6/m,.,.) (0,0,frac{1}{2})
1 (a) (6/m,.,.) (0,0,0)
470 176 (P 6_3/m) ((0,0,0)+)
12 (i) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{1}{2}) (x+bar{y},x,z+frac{1}{2}) (bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z})
(x+bar{y},x,bar{z}) (x,y,bar{z}+frac{1}{2}) (bar{y},x+bar{y},bar{z}+frac{1}{2}) (bar{x}+y,bar{x},bar{z}+frac{1}{2})
6 (h) (m,.,.) (x,y,frac{1}{4}) (bar{y},x+bar{y},frac{1}{4}) (bar{x}+y,bar{x},frac{1}{4}) (bar{x},bar{y},frac{3}{4})
(y,bar{x}+y,frac{3}{4}) (x+bar{y},x,frac{3}{4})
6 (g) (bar{1}) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0) (frac{1}{2},0,frac{1}{2})
(0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
4 (f) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z+frac{1}{2}) (frac{2}{3},frac{1}{3},bar{z}) (frac{1}{3},frac{2}{3},bar{z}+frac{1}{2})
4 (e) (3,.,.) (0,0,z) (0,0,z+frac{1}{2}) (0,0,bar{z}) (0,0,bar{z}+frac{1}{2})
2 (d) (bar{6},.,.) (frac{2}{3},frac{1}{3},frac{1}{4}) (frac{1}{3},frac{2}{3},frac{3}{4})
2 (c) (bar{6},.,.) (frac{1}{3},frac{2}{3},frac{1}{4}) (frac{2}{3},frac{1}{3},frac{3}{4})
2 (b) (bar{3},.,.) (0,0,0) (0,0,frac{1}{2})
2 (a) (bar{6},.,.) (0,0,frac{1}{4}) (0,0,frac{3}{4})
471 177 (P 6 2 2) ((0,0,0)+)
12 (n) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z)
(y,bar{x}+y,z) (x+bar{y},x,z) (y,x,bar{z}) (x+bar{y},bar{y},bar{z})
(bar{x},bar{x}+y,bar{z}) (bar{y},bar{x},bar{z}) (bar{x}+y,y,bar{z}) (x,x+bar{y},bar{z})
6 (m) (.,.,2) (x,bar{x},frac{1}{2}) (x,2x,frac{1}{2}) (2bar{x},bar{x},frac{1}{2}) (bar{x},x,frac{1}{2})
(bar{x},2bar{x},frac{1}{2}) (2x,x,frac{1}{2})
6 (l) (.,.,2) (x,bar{x},0) (x,2x,0) (2bar{x},bar{x},0) (bar{x},x,0)
(bar{x},2bar{x},0) (2x,x,0)
6 (k) (.,2,.) (x,0,frac{1}{2}) (0,x,frac{1}{2}) (bar{x},bar{x},frac{1}{2}) (bar{x},0,frac{1}{2})
(0,bar{x},frac{1}{2}) (x,x,frac{1}{2})
6 (j) (.,2,.) (x,0,0) (0,x,0) (bar{x},bar{x},0) (bar{x},0,0)
(0,bar{x},0) (x,x,0)
6 (i) (2,.,.) (frac{1}{2},0,z) (0,frac{1}{2},z) (frac{1}{2},frac{1}{2},z) (0,frac{1}{2},bar{z})
(frac{1}{2},0,bar{z}) (frac{1}{2},frac{1}{2},bar{z})
4 (h) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z) (frac{2}{3},frac{1}{3},bar{z}) (frac{1}{3},frac{2}{3},bar{z})
3 (g) (2,2,2) (frac{1}{2},0,frac{1}{2}) (0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
3 (f) (2,2,2) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0)
2 (e) (6,.,.) (0,0,z) (0,0,bar{z})
2 (d) (3,.,2) (frac{1}{3},frac{2}{3},frac{1}{2}) (frac{2}{3},frac{1}{3},frac{1}{2})
2 (c) (3,.,2) (frac{1}{3},frac{2}{3},0) (frac{2}{3},frac{1}{3},0)
1 (b) (6,2,2) (0,0,frac{1}{2})
1 (a) (6,2,2) (0,0,0)
472 178 (P 6_1 2 2) ((0,0,0)+)
12 (c) (1) (x,y,z) (bar{y},x+bar{y},z+frac{1}{3}) (bar{x}+y,bar{x},z+frac{2}{3}) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{5}{6}) (x+bar{y},x,z+frac{1}{6}) (y,x,bar{z}+frac{1}{3}) (x+bar{y},bar{y},bar{z})
(bar{x},bar{x}+y,bar{z}+frac{2}{3}) (bar{y},bar{x},bar{z}+frac{5}{6}) (bar{x}+y,y,bar{z}+frac{1}{2}) (x,x+bar{y},bar{z}+frac{1}{6})
6 (b) (.,.,2) (x,2x,frac{1}{4}) (2bar{x},bar{x},frac{7}{12}) (x,bar{x},frac{11}{12}) (bar{x},2bar{x},frac{3}{4})
(2x,x,frac{1}{12}) (bar{x},x,frac{5}{12})
6 (a) (.,2,.) (x,0,0) (0,x,frac{1}{3}) (bar{x},bar{x},frac{2}{3}) (bar{x},0,frac{1}{2})
(0,bar{x},frac{5}{6}) (x,x,frac{1}{6})
473 179 (P 6_5 2 2) ((0,0,0)+)
12 (c) (1) (x,y,z) (bar{y},x+bar{y},z+frac{2}{3}) (bar{x}+y,bar{x},z+frac{1}{3}) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{1}{6}) (x+bar{y},x,z+frac{5}{6}) (y,x,bar{z}+frac{2}{3}) (x+bar{y},bar{y},bar{z})
(bar{x},bar{x}+y,bar{z}+frac{1}{3}) (bar{y},bar{x},bar{z}+frac{1}{6}) (bar{x}+y,y,bar{z}+frac{1}{2}) (x,x+bar{y},bar{z}+frac{5}{6})
6 (b) (.,.,2) (x,2x,frac{3}{4}) (2bar{x},bar{x},frac{5}{12}) (x,bar{x},frac{1}{12}) (bar{x},2bar{x},frac{1}{4})
(2x,x,frac{11}{12}) (bar{x},x,frac{7}{12})
6 (a) (.,2,.) (x,0,0) (0,x,frac{2}{3}) (bar{x},bar{x},frac{1}{3}) (bar{x},0,frac{1}{2})
(0,bar{x},frac{1}{6}) (x,x,frac{5}{6})
474 180 (P 6_2 2 2) ((0,0,0)+)
12 (k) (1) (x,y,z) (bar{y},x+bar{y},z+frac{2}{3}) (bar{x}+y,bar{x},z+frac{1}{3}) (bar{x},bar{y},z)
(y,bar{x}+y,z+frac{2}{3}) (x+bar{y},x,z+frac{1}{3}) (y,x,bar{z}+frac{2}{3}) (x+bar{y},bar{y},bar{z})
(bar{x},bar{x}+y,bar{z}+frac{1}{3}) (bar{y},bar{x},bar{z}+frac{2}{3}) (bar{x}+y,y,bar{z}) (x,x+bar{y},bar{z}+frac{1}{3})
6 (j) (.,.,2) (x,2x,frac{1}{2}) (2bar{x},bar{x},frac{1}{6}) (x,bar{x},frac{5}{6}) (bar{x},2bar{x},frac{1}{2})
(2x,x,frac{1}{6}) (bar{x},x,frac{5}{6})
6 (i) (.,.,2) (x,2x,0) (2bar{x},bar{x},frac{2}{3}) (x,bar{x},frac{1}{3}) (bar{x},2bar{x},0)
(2x,x,frac{2}{3}) (bar{x},x,frac{1}{3})
6 (h) (.,2,.) (x,0,frac{1}{2}) (0,x,frac{1}{6}) (bar{x},bar{x},frac{5}{6}) (bar{x},0,frac{1}{2})
(0,bar{x},frac{1}{6}) (x,x,frac{5}{6})
6 (g) (.,2,.) (x,0,0) (0,x,frac{2}{3}) (bar{x},bar{x},frac{1}{3}) (bar{x},0,0)
(0,bar{x},frac{2}{3}) (x,x,frac{1}{3})
6 (f) (2,.,.) (frac{1}{2},0,z) (0,frac{1}{2},z+frac{2}{3}) (frac{1}{2},frac{1}{2},z+frac{1}{3}) (0,frac{1}{2},bar{z}+frac{2}{3})
(frac{1}{2},0,bar{z}) (frac{1}{2},frac{1}{2},bar{z}+frac{1}{3})
6 (e) (2,.,.) (0,0,z) (0,0,z+frac{2}{3}) (0,0,z+frac{1}{3}) (0,0,bar{z}+frac{2}{3})
(0,0,bar{z}) (0,0,bar{z}+frac{1}{3})
3 (d) (2,2,2) (frac{1}{2},0,frac{1}{2}) (0,frac{1}{2},frac{1}{6}) (frac{1}{2},frac{1}{2},frac{5}{6})
3 (c) (2,2,2) (frac{1}{2},0,0) (0,frac{1}{2},frac{2}{3}) (frac{1}{2},frac{1}{2},frac{1}{3})
3 (b) (2,2,2) (0,0,frac{1}{2}) (0,0,frac{1}{6}) (0,0,frac{5}{6})
3 (a) (2,2,2) (0,0,0) (0,0,frac{2}{3}) (0,0,frac{1}{3})
475 181 (P 6_4 2 2) ((0,0,0)+)
12 (k) (1) (x,y,z) (bar{y},x+bar{y},z+frac{1}{3}) (bar{x}+y,bar{x},z+frac{2}{3}) (bar{x},bar{y},z)
(y,bar{x}+y,z+frac{1}{3}) (x+bar{y},x,z+frac{2}{3}) (y,x,bar{z}+frac{1}{3}) (x+bar{y},bar{y},bar{z})
(bar{x},bar{x}+y,bar{z}+frac{2}{3}) (bar{y},bar{x},bar{z}+frac{1}{3}) (bar{x}+y,y,bar{z}) (x,x+bar{y},bar{z}+frac{2}{3})
6 (j) (.,.,2) (x,2x,frac{1}{2}) (2bar{x},bar{x},frac{5}{6}) (x,bar{x},frac{1}{6}) (bar{x},2bar{x},frac{1}{2})
(2x,x,frac{5}{6}) (bar{x},x,frac{1}{6})
6 (i) (.,.,2) (x,2x,0) (2bar{x},bar{x},frac{1}{3}) (x,bar{x},frac{2}{3}) (bar{x},2bar{x},0)
(2x,x,frac{1}{3}) (bar{x},x,frac{2}{3})
6 (h) (.,2,.) (x,0,frac{1}{2}) (0,x,frac{5}{6}) (bar{x},bar{x},frac{1}{6}) (bar{x},0,frac{1}{2})
(0,bar{x},frac{5}{6}) (x,x,frac{1}{6})
6 (g) (.,2,.) (x,0,0) (0,x,frac{1}{3}) (bar{x},bar{x},frac{2}{3}) (bar{x},0,0)
(0,bar{x},frac{1}{3}) (x,x,frac{2}{3})
6 (f) (2,.,.) (frac{1}{2},0,z) (0,frac{1}{2},z+frac{1}{3}) (frac{1}{2},frac{1}{2},z+frac{2}{3}) (0,frac{1}{2},bar{z}+frac{1}{3})
(frac{1}{2},0,bar{z}) (frac{1}{2},frac{1}{2},bar{z}+frac{2}{3})
6 (e) (2,.,.) (0,0,z) (0,0,z+frac{1}{3}) (0,0,z+frac{2}{3}) (0,0,bar{z}+frac{1}{3})
(0,0,bar{z}) (0,0,bar{z}+frac{2}{3})
3 (d) (2,2,2) (frac{1}{2},0,frac{1}{2}) (0,frac{1}{2},frac{5}{6}) (frac{1}{2},frac{1}{2},frac{1}{6})
3 (c) (2,2,2) (frac{1}{2},0,0) (0,frac{1}{2},frac{1}{3}) (frac{1}{2},frac{1}{2},frac{2}{3})
3 (b) (2,2,2) (0,0,frac{1}{2}) (0,0,frac{5}{6}) (0,0,frac{1}{6})
3 (a) (2,2,2) (0,0,0) (0,0,frac{1}{3}) (0,0,frac{2}{3})
476 182 (P 6_3 2 2) ((0,0,0)+)
12 (i) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{1}{2}) (x+bar{y},x,z+frac{1}{2}) (y,x,bar{z}) (x+bar{y},bar{y},bar{z})
(bar{x},bar{x}+y,bar{z}) (bar{y},bar{x},bar{z}+frac{1}{2}) (bar{x}+y,y,bar{z}+frac{1}{2}) (x,x+bar{y},bar{z}+frac{1}{2})
6 (h) (.,.,2) (x,2x,frac{1}{4}) (2bar{x},bar{x},frac{1}{4}) (x,bar{x},frac{1}{4}) (bar{x},2bar{x},frac{3}{4})
(2x,x,frac{3}{4}) (bar{x},x,frac{3}{4})
6 (g) (.,2,.) (x,0,0) (0,x,0) (bar{x},bar{x},0) (bar{x},0,frac{1}{2})
(0,bar{x},frac{1}{2}) (x,x,frac{1}{2})
4 (f) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z+frac{1}{2}) (frac{2}{3},frac{1}{3},bar{z}) (frac{1}{3},frac{2}{3},bar{z}+frac{1}{2})
4 (e) (3,.,.) (0,0,z) (0,0,z+frac{1}{2}) (0,0,bar{z}) (0,0,bar{z}+frac{1}{2})
2 (d) (3,.,2) (frac{1}{3},frac{2}{3},frac{3}{4}) (frac{2}{3},frac{1}{3},frac{1}{4})
2 (c) (3,.,2) (frac{1}{3},frac{2}{3},frac{1}{4}) (frac{2}{3},frac{1}{3},frac{3}{4})
2 (b) (3,.,2) (0,0,frac{1}{4}) (0,0,frac{3}{4})
2 (a) (3,2,.) (0,0,0) (0,0,frac{1}{2})
477 183 (P 6 m m) ((0,0,0)+)
12 (f) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z)
(y,bar{x}+y,z) (x+bar{y},x,z) (bar{y},bar{x},z) (bar{x}+y,y,z)
(x,x+bar{y},z) (y,x,z) (x+bar{y},bar{y},z) (bar{x},bar{x}+y,z)
6 (e) (.,m,.) (x,bar{x},z) (x,2x,z) (2bar{x},bar{x},z) (bar{x},x,z)
(bar{x},2bar{x},z) (2x,x,z)
6 (d) (.,.,m) (x,0,z) (0,x,z) (bar{x},bar{x},z) (bar{x},0,z)
(0,bar{x},z) (x,x,z)
3 (c) (2,m,m) (frac{1}{2},0,z) (0,frac{1}{2},z) (frac{1}{2},frac{1}{2},z)
2 (b) (3,m,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z)
1 (a) (6,m,m) (0,0,z)
478 184 (P 6 c c) ((0,0,0)+)
12 (d) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z)
(y,bar{x}+y,z) (x+bar{y},x,z) (bar{y},bar{x},z+frac{1}{2}) (bar{x}+y,y,z+frac{1}{2})
(x,x+bar{y},z+frac{1}{2}) (y,x,z+frac{1}{2}) (x+bar{y},bar{y},z+frac{1}{2}) (bar{x},bar{x}+y,z+frac{1}{2})
6 (c) (2,.,.) (frac{1}{2},0,z) (0,frac{1}{2},z) (frac{1}{2},frac{1}{2},z) (0,frac{1}{2},z+frac{1}{2})
(frac{1}{2},0,z+frac{1}{2}) (frac{1}{2},frac{1}{2},z+frac{1}{2})
4 (b) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z) (frac{1}{3},frac{2}{3},z+frac{1}{2}) (frac{2}{3},frac{1}{3},z+frac{1}{2})
2 (a) (6,.,.) (0,0,z) (0,0,z+frac{1}{2})
479 185 (P 6_3 c m) ((0,0,0)+)
12 (d) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{1}{2}) (x+bar{y},x,z+frac{1}{2}) (bar{y},bar{x},z+frac{1}{2}) (bar{x}+y,y,z+frac{1}{2})
(x,x+bar{y},z+frac{1}{2}) (y,x,z) (x+bar{y},bar{y},z) (bar{x},bar{x}+y,z)
6 (c) (.,.,m) (x,0,z) (0,x,z) (bar{x},bar{x},z) (bar{x},0,z+frac{1}{2})
(0,bar{x},z+frac{1}{2}) (x,x,z+frac{1}{2})
4 (b) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z+frac{1}{2}) (frac{1}{3},frac{2}{3},z+frac{1}{2}) (frac{2}{3},frac{1}{3},z)
2 (a) (3,.,m) (0,0,z) (0,0,z+frac{1}{2})
480 186 (P 6_3 m c) ((0,0,0)+)
12 (d) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{1}{2}) (x+bar{y},x,z+frac{1}{2}) (bar{y},bar{x},z) (bar{x}+y,y,z)
(x,x+bar{y},z) (y,x,z+frac{1}{2}) (x+bar{y},bar{y},z+frac{1}{2}) (bar{x},bar{x}+y,z+frac{1}{2})
6 (c) (.,m,.) (x,bar{x},z) (x,2x,z) (2bar{x},bar{x},z) (bar{x},x,z+frac{1}{2})
(bar{x},2bar{x},z+frac{1}{2}) (2x,x,z+frac{1}{2})
2 (b) (3,m,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z+frac{1}{2})
2 (a) (3,m,.) (0,0,z) (0,0,z+frac{1}{2})
481 187 (P bar{6} m 2) ((0,0,0)+)
12 (o) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (x,y,bar{z})
(bar{y},x+bar{y},bar{z}) (bar{x}+y,bar{x},bar{z}) (bar{y},bar{x},z) (bar{x}+y,y,z)
(x,x+bar{y},z) (bar{y},bar{x},bar{z}) (bar{x}+y,y,bar{z}) (x,x+bar{y},bar{z})
6 (n) (.,m,.) (x,bar{x},z) (x,2x,z) (2bar{x},bar{x},z) (x,bar{x},bar{z})
(x,2x,bar{z}) (2bar{x},bar{x},bar{z})
6 (m) (m,.,.) (x,y,frac{1}{2}) (bar{y},x+bar{y},frac{1}{2}) (bar{x}+y,bar{x},frac{1}{2}) (bar{y},bar{x},frac{1}{2})
(bar{x}+y,y,frac{1}{2}) (x,x+bar{y},frac{1}{2})
6 (l) (m,.,.) (x,y,0) (bar{y},x+bar{y},0) (bar{x}+y,bar{x},0) (bar{y},bar{x},0)
(bar{x}+y,y,0) (x,x+bar{y},0)
3 (k) (m,m,2) (x,bar{x},frac{1}{2}) (x,2x,frac{1}{2}) (2bar{x},bar{x},frac{1}{2})
3 (j) (m,m,2) (x,bar{x},0) (x,2x,0) (2bar{x},bar{x},0)
2 (i) (3,m,.) (frac{2}{3},frac{1}{3},z) (frac{2}{3},frac{1}{3},bar{z})
2 (h) (3,m,.) (frac{1}{3},frac{2}{3},z) (frac{1}{3},frac{2}{3},bar{z})
2 (g) (3,m,.) (0,0,z) (0,0,bar{z})
1 (f) (bar{6},m,2) (frac{2}{3},frac{1}{3},frac{1}{2})
1 (e) (bar{6},m,2) (frac{2}{3},frac{1}{3},0)
1 (d) (bar{6},m,2) (frac{1}{3},frac{2}{3},frac{1}{2})
1 (c) (bar{6},m,2) (frac{1}{3},frac{2}{3},0)
1 (b) (bar{6},m,2) (0,0,frac{1}{2})
1 (a) (bar{6},m,2) (0,0,0)
482 188 (P bar{6} c 2) ((0,0,0)+)
12 (l) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (x,y,bar{z}+frac{1}{2})
(bar{y},x+bar{y},bar{z}+frac{1}{2}) (bar{x}+y,bar{x},bar{z}+frac{1}{2}) (bar{y},bar{x},z+frac{1}{2}) (bar{x}+y,y,z+frac{1}{2})
(x,x+bar{y},z+frac{1}{2}) (bar{y},bar{x},bar{z}) (bar{x}+y,y,bar{z}) (x,x+bar{y},bar{z})
6 (k) (m,.,.) (x,y,frac{1}{4}) (bar{y},x+bar{y},frac{1}{4}) (bar{x}+y,bar{x},frac{1}{4}) (bar{y},bar{x},frac{3}{4})
(bar{x}+y,y,frac{3}{4}) (x,x+bar{y},frac{3}{4})
6 (j) (.,.,2) (x,bar{x},0) (x,2x,0) (2bar{x},bar{x},0) (x,bar{x},frac{1}{2})
(x,2x,frac{1}{2}) (2bar{x},bar{x},frac{1}{2})
4 (i) (3,.,.) (frac{2}{3},frac{1}{3},z) (frac{2}{3},frac{1}{3},bar{z}+frac{1}{2}) (frac{2}{3},frac{1}{3},z+frac{1}{2}) (frac{2}{3},frac{1}{3},bar{z})
4 (h) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{1}{3},frac{2}{3},bar{z}+frac{1}{2}) (frac{1}{3},frac{2}{3},z+frac{1}{2}) (frac{1}{3},frac{2}{3},bar{z})
4 (g) (3,.,.) (0,0,z) (0,0,bar{z}+frac{1}{2}) (0,0,z+frac{1}{2}) (0,0,bar{z})
2 (f) (bar{6},.,.) (frac{2}{3},frac{1}{3},frac{1}{4}) (frac{2}{3},frac{1}{3},frac{3}{4})
2 (e) (3,.,2) (frac{2}{3},frac{1}{3},0) (frac{2}{3},frac{1}{3},frac{1}{2})
2 (d) (bar{6},.,.) (frac{1}{3},frac{2}{3},frac{1}{4}) (frac{1}{3},frac{2}{3},frac{3}{4})
2 (c) (3,.,2) (frac{1}{3},frac{2}{3},0) (frac{1}{3},frac{2}{3},frac{1}{2})
2 (b) (bar{6},.,.) (0,0,frac{1}{4}) (0,0,frac{3}{4})
2 (a) (3,.,2) (0,0,0) (0,0,frac{1}{2})
483 189 (P bar{6} 2 m) ((0,0,0)+)
12 (l) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (x,y,bar{z})
(bar{y},x+bar{y},bar{z}) (bar{x}+y,bar{x},bar{z}) (y,x,bar{z}) (x+bar{y},bar{y},bar{z})
(bar{x},bar{x}+y,bar{z}) (y,x,z) (x+bar{y},bar{y},z) (bar{x},bar{x}+y,z)
6 (k) (m,.,.) (x,y,frac{1}{2}) (bar{y},x+bar{y},frac{1}{2}) (bar{x}+y,bar{x},frac{1}{2}) (y,x,frac{1}{2})
(x+bar{y},bar{y},frac{1}{2}) (bar{x},bar{x}+y,frac{1}{2})
6 (j) (m,.,.) (x,y,0) (bar{y},x+bar{y},0) (bar{x}+y,bar{x},0) (y,x,0)
(x+bar{y},bar{y},0) (bar{x},bar{x}+y,0)
6 (i) (.,.,m) (x,0,z) (0,x,z) (bar{x},bar{x},z) (x,0,bar{z})
(0,x,bar{z}) (bar{x},bar{x},bar{z})
4 (h) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{1}{3},frac{2}{3},bar{z}) (frac{2}{3},frac{1}{3},bar{z}) (frac{2}{3},frac{1}{3},z)
3 (g) (m,2,m) (x,0,frac{1}{2}) (0,x,frac{1}{2}) (bar{x},bar{x},frac{1}{2})
3 (f) (m,2,m) (x,0,0) (0,x,0) (bar{x},bar{x},0)
2 (e) (3,.,m) (0,0,z) (0,0,bar{z})
2 (d) (bar{6},.,.) (frac{1}{3},frac{2}{3},frac{1}{2}) (frac{2}{3},frac{1}{3},frac{1}{2})
2 (c) (bar{6},.,.) (frac{1}{3},frac{2}{3},0) (frac{2}{3},frac{1}{3},0)
1 (b) (bar{6},2,m) (0,0,frac{1}{2})
1 (a) (bar{6},2,m) (0,0,0)
484 190 (P bar{6} 2 c) ((0,0,0)+)
12 (i) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (x,y,bar{z}+frac{1}{2})
(bar{y},x+bar{y},bar{z}+frac{1}{2}) (bar{x}+y,bar{x},bar{z}+frac{1}{2}) (y,x,bar{z}) (x+bar{y},bar{y},bar{z})
(bar{x},bar{x}+y,bar{z}) (y,x,z+frac{1}{2}) (x+bar{y},bar{y},z+frac{1}{2}) (bar{x},bar{x}+y,z+frac{1}{2})
6 (h) (m,.,.) (x,y,frac{1}{4}) (bar{y},x+bar{y},frac{1}{4}) (bar{x}+y,bar{x},frac{1}{4}) (y,x,frac{3}{4})
(x+bar{y},bar{y},frac{3}{4}) (bar{x},bar{x}+y,frac{3}{4})
6 (g) (.,2,.) (x,0,0) (0,x,0) (bar{x},bar{x},0) (x,0,frac{1}{2})
(0,x,frac{1}{2}) (bar{x},bar{x},frac{1}{2})
4 (f) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{1}{3},frac{2}{3},bar{z}+frac{1}{2}) (frac{2}{3},frac{1}{3},bar{z}) (frac{2}{3},frac{1}{3},z+frac{1}{2})
4 (e) (3,.,.) (0,0,z) (0,0,bar{z}+frac{1}{2}) (0,0,bar{z}) (0,0,z+frac{1}{2})
2 (d) (bar{6},.,.) (frac{2}{3},frac{1}{3},frac{1}{4}) (frac{1}{3},frac{2}{3},frac{3}{4})
2 (c) (bar{6},.,.) (frac{1}{3},frac{2}{3},frac{1}{4}) (frac{2}{3},frac{1}{3},frac{3}{4})
2 (b) (bar{6},.,.) (0,0,frac{1}{4}) (0,0,frac{3}{4})
2 (a) (3,2,.) (0,0,0) (0,0,frac{1}{2})
485 191 (P 6/m 2/m 2/m) ((0,0,0)+)
24 (r) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z)
(y,bar{x}+y,z) (x+bar{y},x,z) (y,x,bar{z}) (x+bar{y},bar{y},bar{z})
(bar{x},bar{x}+y,bar{z}) (bar{y},bar{x},bar{z}) (bar{x}+y,y,bar{z}) (x,x+bar{y},bar{z})
(bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z}) (x+bar{y},x,bar{z}) (x,y,bar{z})
(bar{y},x+bar{y},bar{z}) (bar{x}+y,bar{x},bar{z}) (bar{y},bar{x},z) (bar{x}+y,y,z)
(x,x+bar{y},z) (y,x,z) (x+bar{y},bar{y},z) (bar{x},bar{x}+y,z)
12 (q) (m,.,.) (x,y,frac{1}{2}) (bar{y},x+bar{y},frac{1}{2}) (bar{x}+y,bar{x},frac{1}{2}) (bar{x},bar{y},frac{1}{2})
(y,bar{x}+y,frac{1}{2}) (x+bar{y},x,frac{1}{2}) (y,x,frac{1}{2}) (x+bar{y},bar{y},frac{1}{2})
(bar{x},bar{x}+y,frac{1}{2}) (bar{y},bar{x},frac{1}{2}) (bar{x}+y,y,frac{1}{2}) (x,x+bar{y},frac{1}{2})
12 (p) (m,.,.) (x,y,0) (bar{y},x+bar{y},0) (bar{x}+y,bar{x},0) (bar{x},bar{y},0)
(y,bar{x}+y,0) (x+bar{y},x,0) (y,x,0) (x+bar{y},bar{y},0)
(bar{x},bar{x}+y,0) (bar{y},bar{x},0) (bar{x}+y,y,0) (x,x+bar{y},0)
12 (o) (.,m,.) (x,2x,z) (2bar{x},bar{x},z) (x,bar{x},z) (bar{x},2bar{x},z)
(2x,x,z) (bar{x},x,z) (2x,x,bar{z}) (bar{x},2bar{x},bar{z})
(bar{x},x,bar{z}) (2bar{x},bar{x},bar{z}) (x,2x,bar{z}) (x,bar{x},bar{z})
12 (n) (.,.,m) (x,0,z) (0,x,z) (bar{x},bar{x},z) (bar{x},0,z)
(0,bar{x},z) (x,x,z) (0,x,bar{z}) (x,0,bar{z})
(bar{x},bar{x},bar{z}) (0,bar{x},bar{z}) (bar{x},0,bar{z}) (x,x,bar{z})
6 (m) (m,m,2) (x,2x,frac{1}{2}) (2bar{x},bar{x},frac{1}{2}) (x,bar{x},frac{1}{2}) (bar{x},2bar{x},frac{1}{2})
(2x,x,frac{1}{2}) (bar{x},x,frac{1}{2})
6 (l) (m,m,2) (x,2x,0) (2bar{x},bar{x},0) (x,bar{x},0) (bar{x},2bar{x},0)
(2x,x,0) (bar{x},x,0)
6 (k) (m,2,m) (x,0,frac{1}{2}) (0,x,frac{1}{2}) (bar{x},bar{x},frac{1}{2}) (bar{x},0,frac{1}{2})
(0,bar{x},frac{1}{2}) (x,x,frac{1}{2})
6 (j) (m,2,m) (x,0,0) (0,x,0) (bar{x},bar{x},0) (bar{x},0,0)
(0,bar{x},0) (x,x,0)
6 (i) (2,m,m) (frac{1}{2},0,z) (0,frac{1}{2},z) (frac{1}{2},frac{1}{2},z) (0,frac{1}{2},bar{z})
(frac{1}{2},0,bar{z}) (frac{1}{2},frac{1}{2},bar{z})
4 (h) (3,m,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z) (frac{2}{3},frac{1}{3},bar{z}) (frac{1}{3},frac{2}{3},bar{z})
3 (g) (m,m,m) (frac{1}{2},0,frac{1}{2}) (0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
3 (f) (m,m,m) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0)
2 (e) (6,m,m) (0,0,z) (0,0,bar{z})
2 (d) (bar{6},m,2) (frac{1}{3},frac{2}{3},frac{1}{2}) (frac{2}{3},frac{1}{3},frac{1}{2})
2 (c) (bar{6},m,2) (frac{1}{3},frac{2}{3},0) (frac{2}{3},frac{1}{3},0)
1 (b) (6/m,m,m) (0,0,frac{1}{2})
1 (a) (6/m,m,m) (0,0,0)
486 192 (P 6/m 2/c 2/c) ((0,0,0)+)
24 (m) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z)
(y,bar{x}+y,z) (x+bar{y},x,z) (y,x,bar{z}+frac{1}{2}) (x+bar{y},bar{y},bar{z}+frac{1}{2})
(bar{x},bar{x}+y,bar{z}+frac{1}{2}) (bar{y},bar{x},bar{z}+frac{1}{2}) (bar{x}+y,y,bar{z}+frac{1}{2}) (x,x+bar{y},bar{z}+frac{1}{2})
(bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z}) (x+bar{y},x,bar{z}) (x,y,bar{z})
(bar{y},x+bar{y},bar{z}) (bar{x}+y,bar{x},bar{z}) (bar{y},bar{x},z+frac{1}{2}) (bar{x}+y,y,z+frac{1}{2})
(x,x+bar{y},z+frac{1}{2}) (y,x,z+frac{1}{2}) (x+bar{y},bar{y},z+frac{1}{2}) (bar{x},bar{x}+y,z+frac{1}{2})
12 (l) (m,.,.) (x,y,0) (bar{y},x+bar{y},0) (bar{x}+y,bar{x},0) (bar{x},bar{y},0)
(y,bar{x}+y,0) (x+bar{y},x,0) (y,x,frac{1}{2}) (x+bar{y},bar{y},frac{1}{2})
(bar{x},bar{x}+y,frac{1}{2}) (bar{y},bar{x},frac{1}{2}) (bar{x}+y,y,frac{1}{2}) (x,x+bar{y},frac{1}{2})
12 (k) (.,.,2) (x,2x,frac{1}{4}) (2bar{x},bar{x},frac{1}{4}) (x,bar{x},frac{1}{4}) (bar{x},2bar{x},frac{1}{4})
(2x,x,frac{1}{4}) (bar{x},x,frac{1}{4}) (bar{x},2bar{x},frac{3}{4}) (2x,x,frac{3}{4})
(bar{x},x,frac{3}{4}) (x,2x,frac{3}{4}) (2bar{x},bar{x},frac{3}{4}) (x,bar{x},frac{3}{4})
12 (j) (.,2,.) (x,0,frac{1}{4}) (0,x,frac{1}{4}) (bar{x},bar{x},frac{1}{4}) (bar{x},0,frac{1}{4})
(0,bar{x},frac{1}{4}) (x,x,frac{1}{4}) (bar{x},0,frac{3}{4}) (0,bar{x},frac{3}{4})
(x,x,frac{3}{4}) (x,0,frac{3}{4}) (0,x,frac{3}{4}) (bar{x},bar{x},frac{3}{4})
12 (i) (2,.,.) (frac{1}{2},0,z) (0,frac{1}{2},z) (frac{1}{2},frac{1}{2},z) (0,frac{1}{2},bar{z}+frac{1}{2})
(frac{1}{2},0,bar{z}+frac{1}{2}) (frac{1}{2},frac{1}{2},bar{z}+frac{1}{2}) (frac{1}{2},0,bar{z}) (0,frac{1}{2},bar{z})
(frac{1}{2},frac{1}{2},bar{z}) (0,frac{1}{2},z+frac{1}{2}) (frac{1}{2},0,z+frac{1}{2}) (frac{1}{2},frac{1}{2},z+frac{1}{2})
8 (h) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z) (frac{2}{3},frac{1}{3},bar{z}+frac{1}{2}) (frac{1}{3},frac{2}{3},bar{z}+frac{1}{2})
(frac{2}{3},frac{1}{3},bar{z}) (frac{1}{3},frac{2}{3},bar{z}) (frac{1}{3},frac{2}{3},z+frac{1}{2}) (frac{2}{3},frac{1}{3},z+frac{1}{2})
6 (g) (2/m,.,.) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0) (0,frac{1}{2},frac{1}{2})
(frac{1}{2},0,frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
6 (f) (2,2,2) (frac{1}{2},0,frac{1}{4}) (0,frac{1}{2},frac{1}{4}) (frac{1}{2},frac{1}{2},frac{1}{4}) (frac{1}{2},0,frac{3}{4})
(0,frac{1}{2},frac{3}{4}) (frac{1}{2},frac{1}{2},frac{3}{4})
4 (e) (6,.,.) (0,0,z) (0,0,bar{z}+frac{1}{2}) (0,0,bar{z}) (0,0,z+frac{1}{2})
4 (d) (bar{6},.,.) (frac{1}{3},frac{2}{3},0) (frac{2}{3},frac{1}{3},0) (frac{2}{3},frac{1}{3},frac{1}{2}) (frac{1}{3},frac{2}{3},frac{1}{2})
4 (c) (3,.,2) (frac{1}{3},frac{2}{3},frac{1}{4}) (frac{2}{3},frac{1}{3},frac{1}{4}) (frac{2}{3},frac{1}{3},frac{3}{4}) (frac{1}{3},frac{2}{3},frac{3}{4})
2 (b) (6/m,.,.) (0,0,0) (0,0,frac{1}{2})
2 (a) (6,2,2) (0,0,frac{1}{4}) (0,0,frac{3}{4})
487 193 (P 6_3/m 2/c 2/m) ((0,0,0)+)
24 (l) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{1}{2}) (x+bar{y},x,z+frac{1}{2}) (y,x,bar{z}+frac{1}{2}) (x+bar{y},bar{y},bar{z}+frac{1}{2})
(bar{x},bar{x}+y,bar{z}+frac{1}{2}) (bar{y},bar{x},bar{z}) (bar{x}+y,y,bar{z}) (x,x+bar{y},bar{z})
(bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z}) (x+bar{y},x,bar{z}) (x,y,bar{z}+frac{1}{2})
(bar{y},x+bar{y},bar{z}+frac{1}{2}) (bar{x}+y,bar{x},bar{z}+frac{1}{2}) (bar{y},bar{x},z+frac{1}{2}) (bar{x}+y,y,z+frac{1}{2})
(x,x+bar{y},z+frac{1}{2}) (y,x,z) (x+bar{y},bar{y},z) (bar{x},bar{x}+y,z)
12 (k) (.,.,m) (x,0,z) (0,x,z) (bar{x},bar{x},z) (bar{x},0,z+frac{1}{2})
(0,bar{x},z+frac{1}{2}) (x,x,z+frac{1}{2}) (0,x,bar{z}+frac{1}{2}) (x,0,bar{z}+frac{1}{2})
(bar{x},bar{x},bar{z}+frac{1}{2}) (0,bar{x},bar{z}) (bar{x},0,bar{z}) (x,x,bar{z})
12 (j) (m,.,.) (x,y,frac{1}{4}) (bar{y},x+bar{y},frac{1}{4}) (bar{x}+y,bar{x},frac{1}{4}) (bar{x},bar{y},frac{3}{4})
(y,bar{x}+y,frac{3}{4}) (x+bar{y},x,frac{3}{4}) (y,x,frac{1}{4}) (x+bar{y},bar{y},frac{1}{4})
(bar{x},bar{x}+y,frac{1}{4}) (bar{y},bar{x},frac{3}{4}) (bar{x}+y,y,frac{3}{4}) (x,x+bar{y},frac{3}{4})
12 (i) (.,.,2) (x,2x,0) (2bar{x},bar{x},0) (x,bar{x},0) (bar{x},2bar{x},frac{1}{2})
(2x,x,frac{1}{2}) (bar{x},x,frac{1}{2}) (bar{x},2bar{x},0) (2x,x,0)
(bar{x},x,0) (x,2x,frac{1}{2}) (2bar{x},bar{x},frac{1}{2}) (x,bar{x},frac{1}{2})
8 (h) (3,.,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z+frac{1}{2}) (frac{2}{3},frac{1}{3},bar{z}+frac{1}{2}) (frac{1}{3},frac{2}{3},bar{z})
(frac{2}{3},frac{1}{3},bar{z}) (frac{1}{3},frac{2}{3},bar{z}+frac{1}{2}) (frac{1}{3},frac{2}{3},z+frac{1}{2}) (frac{2}{3},frac{1}{3},z)
6 (g) (m,2,m) (x,0,frac{1}{4}) (0,x,frac{1}{4}) (bar{x},bar{x},frac{1}{4}) (bar{x},0,frac{3}{4})
(0,bar{x},frac{3}{4}) (x,x,frac{3}{4})
6 (f) (.,.,2/m) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0) (frac{1}{2},0,frac{1}{2})
(0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
4 (e) (3,.,m) (0,0,z) (0,0,z+frac{1}{2}) (0,0,bar{z}+frac{1}{2}) (0,0,bar{z})
4 (d) (3,.,2) (frac{1}{3},frac{2}{3},0) (frac{2}{3},frac{1}{3},frac{1}{2}) (frac{2}{3},frac{1}{3},0) (frac{1}{3},frac{2}{3},frac{1}{2})
4 (c) (bar{6},.,.) (frac{1}{3},frac{2}{3},frac{1}{4}) (frac{2}{3},frac{1}{3},frac{3}{4}) (frac{2}{3},frac{1}{3},frac{1}{4}) (frac{1}{3},frac{2}{3},frac{3}{4})
2 (b) (bar{3},.,m) (0,0,0) (0,0,frac{1}{2})
2 (a) (bar{6},2,m) (0,0,frac{1}{4}) (0,0,frac{3}{4})
488 194 (P 6_3/m 2/m 2/c) ((0,0,0)+)
24 (l) (1) (x,y,z) (bar{y},x+bar{y},z) (bar{x}+y,bar{x},z) (bar{x},bar{y},z+frac{1}{2})
(y,bar{x}+y,z+frac{1}{2}) (x+bar{y},x,z+frac{1}{2}) (y,x,bar{z}) (x+bar{y},bar{y},bar{z})
(bar{x},bar{x}+y,bar{z}) (bar{y},bar{x},bar{z}+frac{1}{2}) (bar{x}+y,y,bar{z}+frac{1}{2}) (x,x+bar{y},bar{z}+frac{1}{2})
(bar{x},bar{y},bar{z}) (y,bar{x}+y,bar{z}) (x+bar{y},x,bar{z}) (x,y,bar{z}+frac{1}{2})
(bar{y},x+bar{y},bar{z}+frac{1}{2}) (bar{x}+y,bar{x},bar{z}+frac{1}{2}) (bar{y},bar{x},z) (bar{x}+y,y,z)
(x,x+bar{y},z) (y,x,z+frac{1}{2}) (x+bar{y},bar{y},z+frac{1}{2}) (bar{x},bar{x}+y,z+frac{1}{2})
12 (k) (.,m,.) (x,2x,z) (2bar{x},bar{x},z) (x,bar{x},z) (bar{x},2bar{x},z+frac{1}{2})
(2x,x,z+frac{1}{2}) (bar{x},x,z+frac{1}{2}) (2x,x,bar{z}) (bar{x},2bar{x},bar{z})
(bar{x},x,bar{z}) (2bar{x},bar{x},bar{z}+frac{1}{2}) (x,2x,bar{z}+frac{1}{2}) (x,bar{x},bar{z}+frac{1}{2})
12 (j) (m,.,.) (x,y,frac{1}{4}) (bar{y},x+bar{y},frac{1}{4}) (bar{x}+y,bar{x},frac{1}{4}) (bar{x},bar{y},frac{3}{4})
(y,bar{x}+y,frac{3}{4}) (x+bar{y},x,frac{3}{4}) (y,x,frac{3}{4}) (x+bar{y},bar{y},frac{3}{4})
(bar{x},bar{x}+y,frac{3}{4}) (bar{y},bar{x},frac{1}{4}) (bar{x}+y,y,frac{1}{4}) (x,x+bar{y},frac{1}{4})
12 (i) (.,2,.) (x,0,0) (0,x,0) (bar{x},bar{x},0) (bar{x},0,frac{1}{2})
(0,bar{x},frac{1}{2}) (x,x,frac{1}{2}) (bar{x},0,0) (0,bar{x},0)
(x,x,0) (x,0,frac{1}{2}) (0,x,frac{1}{2}) (bar{x},bar{x},frac{1}{2})
6 (h) (m,m,2) (x,2x,frac{1}{4}) (2bar{x},bar{x},frac{1}{4}) (x,bar{x},frac{1}{4}) (bar{x},2bar{x},frac{3}{4})
(2x,x,frac{3}{4}) (bar{x},x,frac{3}{4})
6 (g) (.,2/m,.) (frac{1}{2},0,0) (0,frac{1}{2},0) (frac{1}{2},frac{1}{2},0) (frac{1}{2},0,frac{1}{2})
(0,frac{1}{2},frac{1}{2}) (frac{1}{2},frac{1}{2},frac{1}{2})
4 (f) (3,m,.) (frac{1}{3},frac{2}{3},z) (frac{2}{3},frac{1}{3},z+frac{1}{2}) (frac{2}{3},frac{1}{3},bar{z}) (frac{1}{3},frac{2}{3},bar{z}+frac{1}{2})
4 (e) (3,m,.) (0,0,z) (0,0,z+frac{1}{2}) (0,0,bar{z}) (0,0,bar{z}+frac{1}{2})
2 (d) (bar{6},m,2) (frac{1}{3},frac{2}{3},frac{3}{4}) (frac{2}{3},frac{1}{3},frac{1}{4})
2 (c) (bar{6},m,2) (frac{1}{3},frac{2}{3},frac{1}{4}) (frac{2}{3},frac{1}{3},frac{3}{4})
2 (b) (bar{6},m,2) (0,0,frac{1}{4}) (0,0,frac{3}{4})
2 (a) (bar{3},m,.) (0,0,0) (0,0,frac{1}{2})