{- | Module : Crystallography.HallSymbols.SpacegroupSymbols Copyright : (c) Jun Narumi 2018 License : BSD3 (see the LICENSE file) Maintainer : narumij@gmail.com Stability : experimental Portability : ? Spacegroup Symbols [References] 1. Concise Space-Group Symbols http://cci.lbl.gov/sginfo/hall_symbols.html , See also : https://github.com/rwgk/sginfo 2. ITVB 2001 Table A1.4.2.7 Hall symbols http://cci.lbl.gov/sginfo/itvb_2001_table_a1427_hall_symbols.html -} module Crystallography.HallSymbols.SpacegroupSymbols ( spacegroupSymbols, NumberAndChoice, HMFull, HallName ) where type NumberAndChoice = String type HMFull = String type HallName = String -- | Table 6. Concise space-group symbols spacegroupSymbols :: [(NumberAndChoice,HMFull,HallName)] spacegroupSymbols = [ ( "1", "P 1", "P 1" ), ( "2", "P -1", "-P 1" ), ( "3:b", "P 1 2 1", "P 2y" ), ( "3:c", "P 1 1 2", "P 2" ), ( "3:a", "P 2 1 1", "P 2x" ), ( "4:b", "P 1 21 1", "P 2yb" ), ( "4:c", "P 1 1 21", "P 2c" ), ( "4:a", "P 21 1 1", "P 2xa" ), ( "5:b1", "C 1 2 1", "C 2y" ), ( "5:b2", "A 1 2 1", "A 2y" ), ( "5:b3", "I 1 2 1", "I 2y" ), ( "5:c1", "A 1 1 2", "A 2" ), ( "5:c2", "B 1 1 2", "B 2" ), ( "5:c3", "I 1 1 2", "I 2" ), ( "5:a1", "B 2 1 1", "B 2x" ), ( "5:a2", "C 2 1 1", "C 2x" ), ( "5:a3", "I 2 1 1", "I 2x" ), ( "6:b", "P 1 m 1", "P -2y" ), ( "6:c", "P 1 1 m", "P -2" ), ( "6:a", "P m 1 1", "P -2x" ), ( "7:b1", "P 1 c 1", "P -2yc" ), ( "7:b2", "P 1 n 1", "P -2yac" ), ( "7:b3", "P 1 a 1", "P -2ya" ), ( "7:c1", "P 1 1 a", "P -2a" ), ( "7:c2", "P 1 1 n", "P -2ab" ), ( "7:c3", "P 1 1 b", "P -2b" ), ( "7:a1", "P b 1 1", "P -2xb" ), ( "7:a2", "P n 1 1", "P -2xbc" ), ( "7:a3", "P c 1 1", "P -2xc" ), ( "8:b1", "C 1 m 1", "C -2y" ), ( "8:b2", "A 1 m 1", "A -2y" ), ( "8:b3", "I 1 m 1", "I -2y" ), ( "8:c1", "A 1 1 m", "A -2" ), ( "8:c2", "B 1 1 m", "B -2" ), ( "8:c3", "I 1 1 m", "I -2" ), ( "8:a1", "B m 1 1", "B -2x" ), ( "8:a2", "C m 1 1", "C -2x" ), ( "8:a3", "I m 1 1", "I -2x" ), ( "9:b1", "C 1 c 1", "C -2yc" ), ( "9:b2", "A 1 n 1", "A -2yac" ), ( "9:b3", "I 1 a 1", "I -2ya" ), ( "9:-b1", "A 1 a 1", "A -2ya" ), ( "9:-b2", "C 1 n 1", "C -2ybc" ), ( "9:-b3", "I 1 c 1", "I -2yc" ), ( "9:c1", "A 1 1 a", "A -2a" ), ( "9:c2", "B 1 1 n", "B -2bc" ), ( "9:c3", "I 1 1 b", "I -2b" ), ( "9:-c1", "B 1 1 b", "B -2b" ), ( "9:-c2", "A 1 1 n", "A -2ac" ), ( "9:-c3", "I 1 1 a", "I -2a" ), ( "9:a1", "B b 1 1", "B -2xb" ), ( "9:a2", "C n 1 1", "C -2xbc" ), ( "9:a3", "I c 1 1", "I -2xc" ), ( "9:-a1", "C c 1 1", "C -2xc" ), ( "9:-a2", "B n 1 1", "B -2xbc" ), ( "9:-a3", "I b 1 1", "I -2xb" ), ( "10:b", "P 1 2/m 1", "-P 2y" ), ( "10:c", "P 1 1 2/m", "-P 2" ), ( "10:a", "P 2/m 1 1", "-P 2x" ), ( "11:b", "P 1 21/m 1", "-P 2yb" ), ( "11:c", "P 1 1 21/m", "-P 2c" ), ( "11:a", "P 21/m 1 1", "-P 2xa" ), ( "12:b1", "C 1 2/m 1", "-C 2y" ), ( "12:b2", "A 1 2/m 1", "-A 2y" ), ( "12:b3", "I 1 2/m 1", "-I 2y" ), ( "12:c1", "A 1 1 2/m", "-A 2" ), ( "12:c2", "B 1 1 2/m", "-B 2" ), ( "12:c3", "I 1 1 2/m", "-I 2" ), ( "12:a1", "B 2/m 1 1", "-B 2x" ), ( "12:a2", "C 2/m 1 1", "-C 2x" ), ( "12:a3", "I 2/m 1 1", "-I 2x" ), ( "13:b1", "P 1 2/c 1", "-P 2yc" ), ( "13:b2", "P 1 2/n 1", "-P 2yac" ), ( "13:b3", "P 1 2/a 1", "-P 2ya" ), ( "13:c1", "P 1 1 2/a", "-P 2a" ), ( "13:c2", "P 1 1 2/n", "-P 2ab" ), ( "13:c3", "P 1 1 2/b", "-P 2b" ), ( "13:a1", "P 2/b 1 1", "-P 2xb" ), ( "13:a2", "P 2/n 1 1", "-P 2xbc" ), ( "13:a3", "P 2/c 1 1", "-P 2xc" ), ( "14:b1", "P 1 21/c 1", "-P 2ybc" ), ( "14:b2", "P 1 21/n 1", "-P 2yn" ), ( "14:b3", "P 1 21/a 1", "-P 2yab" ), ( "14:c1", "P 1 1 21/a", "-P 2ac" ), ( "14:c2", "P 1 1 21/n", "-P 2n" ), ( "14:c3", "P 1 1 21/b", "-P 2bc" ), ( "14:a1", "P 21/b 1 1", "-P 2xab" ), ( "14:a2", "P 21/n 1 1", "-P 2xn" ), ( "14:a3", "P 21/c 1 1", "-P 2xac" ), ( "15:b1", "C 1 2/c 1", "-C 2yc" ), ( "15:b2", "A 1 2/n 1", "-A 2yac" ), ( "15:b3", "I 1 2/a 1", "-I 2ya" ), ( "15:-b1", "A 1 2/a 1", "-A 2ya" ), ( "15:-b2", "C 1 2/n 1", "-C 2ybc" ), ( "15:-b3", "I 1 2/c 1", "-I 2yc" ), ( "15:c1", "A 1 1 2/a", "-A 2a" ), ( "15:c2", "B 1 1 2/n", "-B 2bc" ), ( "15:c3", "I 1 1 2/b", "-I 2b" ), ( "15:-c1", "B 1 1 2/b", "-B 2b" ), ( "15:-c2", "A 1 1 2/n", "-A 2ac" ), ( "15:-c3", "I 1 1 2/a", "-I 2a" ), ( "15:a1", "B 2/b 1 1", "-B 2xb" ), ( "15:a2", "C 2/n 1 1", "-C 2xbc" ), ( "15:a3", "I 2/c 1 1", "-I 2xc" ), ( "15:-a1", "C 2/c 1 1", "-C 2xc" ), ( "15:-a2", "B 2/n 1 1", "-B 2xbc" ), ( "15:-a3", "I 2/b 1 1", "-I 2xb" ), ( "16", "P 2 2 2", "P 2 2" ), ( "17", "P 2 2 21", "P 2c 2" ), ( "17:cab", "P 21 2 2", "P 2a 2a" ), ( "17:bca", "P 2 21 2", "P 2 2b" ), ( "18", "P 21 21 2", "P 2 2ab" ), ( "18:cab", "P 2 21 21", "P 2bc 2" ), ( "18:bca", "P 21 2 21", "P 2ac 2ac" ), ( "19", "P 21 21 21", "P 2ac 2ab" ), ( "20", "C 2 2 21", "C 2c 2" ), ( "20:cab", "A 21 2 2", "A 2a 2a" ), ( "20:bca", "B 2 21 2", "B 2 2b" ), ( "21", "C 2 2 2", "C 2 2" ), ( "21:cab", "A 2 2 2", "A 2 2" ), ( "21:bca", "B 2 2 2", "B 2 2" ), ( "22", "F 2 2 2", "F 2 2" ), ( "23", "I 2 2 2", "I 2 2" ), ( "24", "I 21 21 21", "I 2b 2c" ), ( "25", "P m m 2", "P 2 -2" ), ( "25:cab", "P 2 m m", "P -2 2" ), ( "25:bca", "P m 2 m", "P -2 -2" ), ( "26", "P m c 21", "P 2c -2" ), ( "26:ba-c", "P c m 21", "P 2c -2c" ), ( "26:cab", "P 21 m a", "P -2a 2a" ), ( "26:-cba", "P 21 a m", "P -2 2a" ), ( "26:bca", "P b 21 m", "P -2 -2b" ), ( "26:a-cb", "P m 21 b", "P -2b -2" ), ( "27", "P c c 2", "P 2 -2c" ), ( "27:cab", "P 2 a a", "P -2a 2" ), ( "27:bca", "P b 2 b", "P -2b -2b" ), ( "28", "P m a 2", "P 2 -2a" ), ( "28:ba-c", "P b m 2", "P 2 -2b" ), ( "28:cab", "P 2 m b", "P -2b 2" ), ( "28:-cba", "P 2 c m", "P -2c 2" ), ( "28:bca", "P c 2 m", "P -2c -2c" ), ( "28:a-cb", "P m 2 a", "P -2a -2a" ), ( "29", "P c a 21", "P 2c -2ac" ), ( "29:ba-c", "P b c 21", "P 2c -2b" ), ( "29:cab", "P 21 a b", "P -2b 2a" ), ( "29:-cba", "P 21 c a", "P -2ac 2a" ), ( "29:bca", "P c 21 b", "P -2bc -2c" ), ( "29:a-cb", "P b 21 a", "P -2a -2ab" ), ( "30", "P n c 2", "P 2 -2bc" ), ( "30:ba-c", "P c n 2", "P 2 -2ac" ), ( "30:cab", "P 2 n a", "P -2ac 2" ), ( "30:-cba", "P 2 a n", "P -2ab 2" ), ( "30:bca", "P b 2 n", "P -2ab -2ab" ), ( "30:a-cb", "P n 2 b", "P -2bc -2bc" ), ( "31", "P m n 21", "P 2ac -2" ), ( "31:ba-c", "P n m 21", "P 2bc -2bc" ), ( "31:cab", "P 21 m n", "P -2ab 2ab" ), ( "31:-cba", "P 21 n m", "P -2 2ac" ), ( "31:bca", "P n 21 m", "P -2 -2bc" ), ( "31:a-cb", "P m 21 n", "P -2ab -2" ), ( "32", "P b a 2", "P 2 -2ab" ), ( "32:cab", "P 2 c b", "P -2bc 2" ), ( "32:bca", "P c 2 a", "P -2ac -2ac" ), ( "33", "P n a 21", "P 2c -2n" ), ( "33:ba-c", "P b n 21", "P 2c -2ab" ), ( "33:cab", "P 21 n b", "P -2bc 2a" ), ( "33:-cba", "P 21 c n", "P -2n 2a" ), ( "33:bca", "P c 21 n", "P -2n -2ac" ), ( "33:a-cb", "P n 21 a", "P -2ac -2n" ), ( "34", "P n n 2", "P 2 -2n" ), ( "34:cab", "P 2 n n", "P -2n 2" ), ( "34:bca", "P n 2 n", "P -2n -2n" ), ( "35", "C m m 2", "C 2 -2" ), ( "35:cab", "A 2 m m", "A -2 2" ), ( "35:bca", "B m 2 m", "B -2 -2" ), ( "36", "C m c 21", "C 2c -2" ), ( "36:ba-c", "C c m 21", "C 2c -2c" ), ( "36:cab", "A 21 m a", "A -2a 2a" ), ( "36:-cba", "A 21 a m", "A -2 2a" ), ( "36:bca", "B b 21 m", "B -2 -2b" ), ( "36:a-cb", "B m 21 b", "B -2b -2" ), ( "37", "C c c 2", "C 2 -2c" ), ( "37:cab", "A 2 a a", "A -2a 2" ), ( "37:bca", "B b 2 b", "B -2b -2b" ), ( "38", "A m m 2", "A 2 -2" ), ( "38:ba-c", "B m m 2", "B 2 -2" ), ( "38:cab", "B 2 m m", "B -2 2" ), ( "38:-cba", "C 2 m m", "C -2 2" ), ( "38:bca", "C m 2 m", "C -2 -2" ), ( "38:a-cb", "A m 2 m", "A -2 -2" ), ( "39", "A b m 2", "A 2 -2c" ), ( "39:ba-c", "B m a 2", "B 2 -2c" ), ( "39:cab", "B 2 c m", "B -2c 2" ), ( "39:-cba", "C 2 m b", "C -2b 2" ), ( "39:bca", "C m 2 a", "C -2b -2b" ), ( "39:a-cb", "A c 2 m", "A -2c -2c" ), ( "40", "A m a 2", "A 2 -2a" ), ( "40:ba-c", "B b m 2", "B 2 -2b" ), ( "40:cab", "B 2 m b", "B -2b 2" ), ( "40:-cba", "C 2 c m", "C -2c 2" ), ( "40:bca", "C c 2 m", "C -2c -2c" ), ( "40:a-cb", "A m 2 a", "A -2a -2a" ), ( "41", "A b a 2", "A 2 -2ac" ), ( "41:ba-c", "B b a 2", "B 2 -2bc" ), ( "41:cab", "B 2 c b", "B -2bc 2" ), ( "41:-cba", "C 2 c b", "C -2bc 2" ), ( "41:bca", "C c 2 a", "C -2bc -2bc" ), ( "41:a-cb", "A c 2 a", "A -2ac -2ac" ), ( "42", "F m m 2", "F 2 -2" ), ( "42:cab", "F 2 m m", "F -2 2" ), ( "42:bca", "F m 2 m", "F -2 -2" ), ( "43", "F d d 2", "F 2 -2d" ), ( "43:cab", "F 2 d d", "F -2d 2" ), ( "43:bca", "F d 2 d", "F -2d -2d" ), ( "44", "I m m 2", "I 2 -2" ), ( "44:cab", "I 2 m m", "I -2 2" ), ( "44:bca", "I m 2 m", "I -2 -2" ), ( "45", "I b a 2", "I 2 -2c" ), ( "45:cab", "I 2 c b", "I -2a 2" ), ( "45:bca", "I c 2 a", "I -2b -2b" ), ( "46", "I m a 2", "I 2 -2a" ), ( "46:ba-c", "I b m 2", "I 2 -2b" ), ( "46:cab", "I 2 m b", "I -2b 2" ), ( "46:-cba", "I 2 c m", "I -2c 2" ), ( "46:bca", "I c 2 m", "I -2c -2c" ), ( "46:a-cb", "I m 2 a", "I -2a -2a" ), ( "47", "P m m m", "-P 2 2" ), ( "48:1", "P n n n:1", "P 2 2 -1n" ), ( "48:2", "P n n n:2", "-P 2ab 2bc" ), ( "49", "P c c m", "-P 2 2c" ), ( "49:cab", "P m a a", "-P 2a 2" ), ( "49:bca", "P b m b", "-P 2b 2b" ), ( "50:1", "P b a n:1", "P 2 2 -1ab" ), ( "50:2", "P b a n:2", "-P 2ab 2b" ), ( "50:1cab", "P n c b:1", "P 2 2 -1bc" ), ( "50:2cab", "P n c b:2", "-P 2b 2bc" ), ( "50:1bca", "P c n a:1", "P 2 2 -1ac" ), ( "50:2bca", "P c n a:2", "-P 2a 2c" ), ( "51", "P m m a", "-P 2a 2a" ), ( "51:ba-c", "P m m b", "-P 2b 2" ), ( "51:cab", "P b m m", "-P 2 2b" ), ( "51:-cba", "P c m m", "-P 2c 2c" ), ( "51:bca", "P m c m", "-P 2c 2" ), ( "51:a-cb", "P m a m", "-P 2 2a" ), ( "52", "P n n a", "-P 2a 2bc" ), ( "52:ba-c", "P n n b", "-P 2b 2n" ), ( "52:cab", "P b n n", "-P 2n 2b" ), ( "52:-cba", "P c n n", "-P 2ab 2c" ), ( "52:bca", "P n c n", "-P 2ab 2n" ), ( "52:a-cb", "P n a n", "-P 2n 2bc" ), ( "53", "P m n a", "-P 2ac 2" ), ( "53:ba-c", "P n m b", "-P 2bc 2bc" ), ( "53:cab", "P b m n", "-P 2ab 2ab" ), ( "53:-cba", "P c n m", "-P 2 2ac" ), ( "53:bca", "P n c m", "-P 2 2bc" ), ( "53:a-cb", "P m a n", "-P 2ab 2" ), ( "54", "P c c a", "-P 2a 2ac" ), ( "54:ba-c", "P c c b", "-P 2b 2c" ), ( "54:cab", "P b a a", "-P 2a 2b" ), ( "54:-cba", "P c a a", "-P 2ac 2c" ), ( "54:bca", "P b c b", "-P 2bc 2b" ), ( "54:a-cb", "P b a b", "-P 2b 2ab" ), ( "55", "P b a m", "-P 2 2ab" ), ( "55:cab", "P m c b", "-P 2bc 2" ), ( "55:bca", "P c m a", "-P 2ac 2ac" ), ( "56", "P c c n", "-P 2ab 2ac" ), ( "56:cab", "P n a a", "-P 2ac 2bc" ), ( "56:bca", "P b n b", "-P 2bc 2ab" ), ( "57", "P b c m", "-P 2c 2b" ), ( "57:ba-c", "P c a m", "-P 2c 2ac" ), ( "57:cab", "P m c a", "-P 2ac 2a" ), ( "57:-cba", "P m a b", "-P 2b 2a" ), ( "57:bca", "P b m a", "-P 2a 2ab" ), ( "57:a-cb", "P c m b", "-P 2bc 2c" ), ( "58", "P n n m", "-P 2 2n" ), ( "58:cab", "P m n n", "-P 2n 2" ), ( "58:bca", "P n m n", "-P 2n 2n" ), ( "59:1", "P m m n:1", "P 2 2ab -1ab" ), ( "59:2", "P m m n:2", "-P 2ab 2a" ), ( "59:1cab", "P n m m:1", "P 2bc 2 -1bc" ), ( "59:2cab", "P n m m:2", "-P 2c 2bc" ), ( "59:1bca", "P m n m:1", "P 2ac 2ac -1ac" ), ( "59:2bca", "P m n m:2", "-P 2c 2a" ), ( "60", "P b c n", "-P 2n 2ab" ), ( "60:ba-c", "P c a n", "-P 2n 2c" ), ( "60:cab", "P n c a", "-P 2a 2n" ), ( "60:-cba", "P n a b", "-P 2bc 2n" ), ( "60:bca", "P b n a", "-P 2ac 2b" ), ( "60:a-cb", "P c n b", "-P 2b 2ac" ), ( "61", "P b c a", "-P 2ac 2ab" ), ( "61:ba-c", "P c a b", "-P 2bc 2ac" ), ( "62", "P n m a", "-P 2ac 2n" ), ( "62:ba-c", "P m n b", "-P 2bc 2a" ), ( "62:cab", "P b n m", "-P 2c 2ab" ), ( "62:-cba", "P c m n", "-P 2n 2ac" ), ( "62:bca", "P m c n", "-P 2n 2a" ), ( "62:a-cb", "P n a m", "-P 2c 2n" ), ( "63", "C m c m", "-C 2c 2" ), ( "63:ba-c", "C c m m", "-C 2c 2c" ), ( "63:cab", "A m m a", "-A 2a 2a" ), ( "63:-cba", "A m a m", "-A 2 2a" ), ( "63:bca", "B b m m", "-B 2 2b" ), ( "63:a-cb", "B m m b", "-B 2b 2" ), ( "64", "C m c a", "-C 2bc 2" ), ( "64:ba-c", "C c m b", "-C 2bc 2bc" ), ( "64:cab", "A b m a", "-A 2ac 2ac" ), ( "64:-cba", "A c a m", "-A 2 2ac" ), ( "64:bca", "B b c m", "-B 2 2bc" ), ( "64:a-cb", "B m a b", "-B 2bc 2" ), ( "65", "C m m m", "-C 2 2" ), ( "65:cab", "A m m m", "-A 2 2" ), ( "65:bca", "B m m m", "-B 2 2" ), ( "66", "C c c m", "-C 2 2c" ), ( "66:cab", "A m a a", "-A 2a 2" ), ( "66:bca", "B b m b", "-B 2b 2b" ), ( "67", "C m m a", "-C 2b 2" ), ( "67:ba-c", "C m m b", "-C 2b 2b" ), ( "67:cab", "A b m m", "-A 2c 2c" ), ( "67:-cba", "A c m m", "-A 2 2c" ), ( "67:bca", "B m c m", "-B 2 2c" ), ( "67:a-cb", "B m a m", "-B 2c 2" ), ( "68:1", "C c c a:1", "C 2 2 -1bc" ), ( "68:2", "C c c a:2", "-C 2b 2bc" ), ( "68:1ba-c", "C c c b:1", "C 2 2 -1bc" ), ( "68:2ba-c", "C c c b:2", "-C 2b 2c" ), ( "68:1cab", "A b a a:1", "A 2 2 -1ac" ), ( "68:2cab", "A b a a:2", "-A 2a 2c" ), ( "68:1-cba", "A c a a:1", "A 2 2 -1ac" ), ( "68:2-cba", "A c a a:2", "-A 2ac 2c" ), ( "68:1bca", "B b c b:1", "B 2 2 -1bc" ), ( "68:2bca", "B b c b:2", "-B 2bc 2b" ), ( "68:1a-cb", "B b a b:1", "B 2 2 -1bc" ), ( "68:2a-cb", "B b a b:2", "-B 2b 2bc" ), ( "69", "F m m m", "-F 2 2" ), ( "70:1", "F d d d:1", "F 2 2 -1d" ), ( "70:2", "F d d d:2", "-F 2uv 2vw" ), ( "71", "I m m m", "-I 2 2" ), ( "72", "I b a m", "-I 2 2c" ), ( "72:cab", "I m c b", "-I 2a 2" ), ( "72:bca", "I c m a", "-I 2b 2b" ), ( "73", "I b c a", "-I 2b 2c" ), ( "73:ba-c", "I c a b", "-I 2a 2b" ), ( "74", "I m m a", "-I 2b 2" ), ( "74:ba-c", "I m m b", "-I 2a 2a" ), ( "74:cab", "I b m m", "-I 2c 2c" ), ( "74:-cba", "I c m m", "-I 2 2b" ), ( "74:bca", "I m c m", "-I 2 2a" ), ( "74:a-cb", "I m a m", "-I 2c 2" ), ( "75", "P 4", "P 4" ), ( "76", "P 41", "P 4w" ), ( "77", "P 42", "P 4c" ), ( "78", "P 43", "P 4cw" ), ( "79", "I 4", "I 4" ), ( "80", "I 41", "I 4bw" ), ( "81", "P -4", "P -4" ), ( "82", "I -4", "I -4" ), ( "83", "P 4/m", "-P 4" ), ( "84", "P 42/m", "-P 4c" ), ( "85:1", "P 4/n:1", "P 4ab -1ab" ), ( "85:2", "P 4/n:2", "-P 4a" ), ( "86:1", "P 42/n:1", "P 4n -1n" ), ( "86:2", "P 42/n:2", "-P 4bc" ), ( "87", "I 4/m", "-I 4" ), ( "88:1", "I 41/a:1", "I 4bw -1bw" ), ( "88:2", "I 41/a:2", "-I 4ad" ), ( "89", "P 4 2 2", "P 4 2" ), ( "90", "P 42 1 2", "P 4ab 2ab" ), ( "91", "P 41 2 2", "P 4w 2c" ), ( "92", "P 41 21 2", "P 4abw 2nw" ), ( "93", "P 42 2 2", "P 4c 2" ), ( "94", "P 42 21 2", "P 4n 2n" ), ( "95", "P 43 2 2", "P 4cw 2c" ), ( "96", "P 43 21 2", "P 4nw 2abw" ), ( "97", "I 4 2 2", "I 4 2" ), ( "98", "I 41 2 2", "I 4bw 2bw" ), ( "99", "P 4 m m", "P 4 -2" ), ( "100", "P 4 b m", "P 4 -2ab" ), ( "101", "P 42 c m", "P 4c -2c" ), ( "102", "P 42 n m", "P 4n -2n" ), ( "103", "P 4 c c", "P 4 -2c" ), ( "104", "P 4 n c", "P 4 -2n" ), ( "105", "P 42 m c", "P 4c -2" ), ( "106", "P 42 b c", "P 4c -2ab" ), ( "107", "I 4 m m", "I 4 -2" ), ( "108", "I 4 c m", "I 4 -2c" ), ( "109", "I 41 m d", "I 4bw -2" ), ( "110", "I 41 c d", "I 4bw -2c" ), ( "111", "P -4 2 m", "P -4 2" ), ( "112", "P -4 2 c", "P -4 2c" ), ( "113", "P -4 21 m", "P -4 2ab" ), ( "114", "P -4 21 c", "P -4 2n" ), ( "115", "P -4 m 2", "P -4 -2" ), ( "116", "P -4 c 2", "P -4 -2c" ), ( "117", "P -4 b 2", "P -4 -2ab" ), ( "118", "P -4 n 2", "P -4 -2n" ), ( "119", "I -4 m 2", "I -4 -2" ), ( "120", "I -4 c 2", "I -4 -2c" ), ( "121", "I -4 2 m", "I -4 2" ), ( "122", "I -4 2 d", "I -4 2bw" ), ( "123", "P 4/m m m", "-P 4 2" ), ( "124", "P 4/m c c", "-P 4 2c" ), ( "125:1", "P 4/n b m:1", "P 4 2 -1ab" ), ( "125:2", "P 4/n b m:2", "-P 4a 2b" ), ( "126:1", "P 4/n n c:1", "P 4 2 -1n" ), ( "126:2", "P 4/n n c:2", "-P 4a 2bc" ), ( "127", "P 4/m b m", "-P 4 2ab" ), ( "128", "P 4/m n c", "-P 4 2n" ), ( "129:1", "P 4/n m m:1", "P 4ab 2ab -1ab" ), ( "129:2", "P 4/n m m:2", "-P 4a 2a" ), ( "130:1", "P 4/n c c:1", "P 4ab 2n -1ab" ), ( "130:2", "P 4/n c c:2", "-P 4a 2ac" ), ( "131", "P 42/m m c", "-P 4c 2" ), ( "132", "P 42/m c m", "-P 4c 2c" ), ( "133:1", "P 42/n b c:1", "P 4n 2c -1n" ), ( "133:2", "P 42/n b c:2", "-P 4ac 2b" ), ( "134:1", "P 42/n n m:1", "P 4n 2 -1n" ), ( "134:2", "P 42/n n m:2", "-P 4ac 2bc" ), ( "135", "P 42/m b c", "-P 4c 2ab" ), ( "136", "P 42/m n m", "-P 4n 2n" ), ( "137:1", "P 42/n m c:1", "P 4n 2n -1n" ), ( "137:2", "P 42/n m c:2", "-P 4ac 2a" ), ( "138:1", "P 42/n c m:1", "P 4n 2ab -1n" ), ( "138:2", "P 42/n c m:2", "-P 4ac 2ac" ), ( "139", "I 4/m m m", "-I 4 2" ), ( "140", "I 4/m c m", "-I 4 2c" ), ( "141:1", "I 41/a m d:1", "I 4bw 2bw -1bw" ), ( "141:2", "I 41/a m d:2", "-I 4bd 2" ), ( "142:1", "I 41/a c d:1", "I 4bw 2aw -1bw" ), ( "142:2", "I 41/a c d:2", "-I 4bd 2c" ), ( "143", "P 3", "P 3" ), ( "144", "P 31", "P 31" ), ( "145", "P 32", "P 32" ), ( "146:H", "R 3:H", "R 3" ), ( "146:R", "R 3:R", "P 3*" ), ( "147", "P -3", "-P 3" ), ( "148:H", "R -3:H", "-R 3" ), ( "148:R", "R -3:R", "-P 3*" ), ( "149", "P 3 1 2", "P 3 2" ), ( "150", "P 3 2 1", "P 3 2\"" ), ( "151", "P 31 1 2", "P 31 2c (0 0 1)" ), ( "152", "P 31 2 1", "P 31 2\"" ), ( "153", "P 32 1 2", "P 32 2c (0 0 -1)" ), ( "154", "P 32 2 1", "P 32 2\"" ), ( "155:H", "R 3 2:H", "R 3 2\"" ), ( "155:R", "R 3 2:R", "P 3* 2" ), ( "156", "P 3 m 1", "P 3 -2\"" ), ( "157", "P 3 1 m", "P 3 -2" ), ( "158", "P 3 c 1", "P 3 -2\"c" ), ( "159", "P 3 1 c", "P 3 -2c" ), ( "160:H", "R 3 m:H", "R 3 -2\"" ), ( "160:R", "R 3 m:R", "P 3* -2" ), ( "161:H", "R 3 c:H", "R 3 -2\"c" ), ( "161:R", "R 3 c:R", "P 3* -2n" ), ( "162", "P -3 1 m", "-P 3 2" ), ( "163", "P -3 1 c", "-P 3 2c" ), ( "164", "P -3 m 1", "-P 3 2\"" ), ( "165", "P -3 c 1", "-P 3 2\"c" ), ( "166:H", "R -3 m:H", "-R 3 2\"" ), ( "166:R", "R -3 m:R", "-P 3* 2" ), ( "167:H", "R -3 c:H", "-R 3 2\"c" ), ( "167:R", "R -3 c:R", "-P 3* 2n" ), ( "168", "P 6", "P 6" ), ( "169", "P 61", "P 61" ), ( "170", "P 65", "P 65" ), ( "171", "P 62", "P 62" ), ( "172", "P 64", "P 64" ), ( "173", "P 63", "P 6c" ), ( "174", "P -6", "P -6" ), ( "175", "P 6/m", "-P 6" ), ( "176", "P 63/m", "-P 6c" ), ( "177", "P 6 2 2", "P 6 2" ), ( "178", "P 61 2 2", "P 61 2 (0 0 -1)" ), ( "179", "P 65 2 2", "P 65 2 (0 0 1)" ), ( "180", "P 62 2 2", "P 62 2c (0 0 1)" ), ( "181", "P 64 2 2", "P 64 2c (0 0 -1)" ), ( "182", "P 63 2 2", "P 6c 2c" ), ( "183", "P 6 m m", "P 6 -2" ), ( "184", "P 6 c c", "P 6 -2c" ), ( "185", "P 63 c m", "P 6c -2" ), ( "186", "P 63 m c", "P 6c -2c" ), ( "187", "P -6 m 2", "P -6 2" ), ( "188", "P -6 c 2", "P -6c 2" ), ( "189", "P -6 2 m", "P -6 -2" ), ( "190", "P -6 2 c", "P -6c -2c" ), ( "191", "P 6/m m m", "-P 6 2" ), ( "192", "P 6/m c c", "-P 6 2c" ), ( "193", "P 63/m c m", "-P 6c 2" ), ( "194", "P 63/m m c", "-P 6c 2c" ), ( "195", "P 2 3", "P 2 2 3" ), ( "196", "F 2 3", "F 2 2 3" ), ( "197", "I 2 3", "I 2 2 3" ), ( "198", "P 21 3", "P 2ac 2ab 3" ), ( "199", "I 21 3", "I 2b 2c 3" ), ( "200", "P m -3", "-P 2 2 3" ), ( "201:1", "P n -3:1", "P 2 2 3 -1n" ), ( "201:2", "P n -3:2", "-P 2ab 2bc 3" ), ( "202", "F m -3", "-F 2 2 3" ), ( "203:1", "F d -3:1", "F 2 2 3 -1d" ), ( "203:2", "F d -3:2", "-F 2uv 2vw 3" ), ( "204", "I m -3", "-I 2 2 3" ), ( "205", "P a -3", "-P 2ac 2ab 3" ), ( "206", "I a -3", "-I 2b 2c 3" ), ( "207", "P 4 3 2", "P 4 2 3" ), ( "208", "P 42 3 2", "P 4n 2 3" ), ( "209", "F 4 3 2", "F 4 2 3" ), ( "210", "F 41 3 2", "F 4d 2 3" ), ( "211", "I 4 3 2", "I 4 2 3" ), ( "212", "P 43 3 2", "P 4acd 2ab 3" ), ( "213", "P 41 3 2", "P 4bd 2ab 3" ), ( "214", "I 41 3 2", "I 4bd 2c 3" ), ( "215", "P -4 3 m", "P -4 2 3" ), ( "216", "F -4 3 m", "F -4 2 3" ), ( "217", "I -4 3 m", "I -4 2 3" ), ( "218", "P -4 3 n", "P -4n 2 3" ), ( "219", "F -4 3 c", "F -4c 2 3" ), ( "220", "I -4 3 d", "I -4bd 2c 3" ), ( "221", "P m -3 m", "-P 4 2 3" ), ( "222:1", "P n -3 n:1", "P 4 2 3 -1n" ), ( "222:2", "P n -3 n:2", "-P 4a 2bc 3" ), ( "223", "P m -3 n", "-P 4n 2 3" ), ( "224:1", "P n -3 m:1", "P 4n 2 3 -1n" ), ( "224:2", "P n -3 m:2", "-P 4bc 2bc 3" ), ( "225", "F m -3 m", "-F 4 2 3" ), ( "226", "F m -3 c", "-F 4c 2 3" ), ( "227:1", "F d -3 m:1", "F 4d 2 3 -1d" ), ( "227:2", "F d -3 m:2", "-F 4vw 2vw 3" ), ( "228:1", "F d -3 c:1", "F 4d 2 3 -1cd" ), ( "228:2", "F d -3 c:2", "-F 4cvw 2vw 3" ), ( "229", "I m -3 m", "-I 4 2 3" ), ( "230", "I a -3 d", "-I 4bd 2c 3" ) ]