International
Tables for
Crystallography
Volume E
Subperiodic groups
Edited by V. Kopský and D. B. Litvin

International Tables for Crystallography (2006). Vol. E. ch. 1.2, pp. 23-26

Table 1.2.17.3 

V. Kopskýa and D. B. Litvinb*

a Department of Physics, University of the South Pacific, Suva, Fiji, and Institute of Physics, The Academy of Sciences of the Czech Republic, Na Slovance 2, PO Box 24, 180 40 Prague 8, Czech Republic, and bDepartment of Physics, Penn State Berks Campus, The Pennsylvania State University, PO Box 7009, Reading, PA 19610-6009, USA
Correspondence e-mail:  u3c@psu.edu

Table 1.2.17.3 | top | pdf |
Layer-group symbols

(a) Columns 1–9.

  1 2 3 4 5 6 7 8 9
Triclinic/oblique [1] [p1] [1] [P1] [1] [P11(1)] [1] [p1] [p1]
[2] [p\bar{1}] [2] [P\bar{1}] [2] [P\bar{1}\bar{1}(\bar{1})] [3] [p\bar{1}] [p\bar{1}]
Monoclinic/oblique [3] [p112] [3] [P211] [9] [P11(2)] [5] [p112] [p21]
[4] [p11m] [4] [Pm11] [4] [P11(m)] [2] [p11m] [pm1]
[5] [p11a] [5] [Pb11] [5] [P11(b)] [4] [p11b] [pa1]
[6] [p112/m] [6] [P2/m11] [13] [P11(2/m)] [6] [p112/m] [p2/m1]
[7] [p112/a] [7] [P2/b11] [17] [P11(2/b)] [7] [p112/b] [p2/a1]
Monoclinic/rectangular [8] [p211] [8] [P112] [8] [P12(1)] [14] [p121] [p12]
[9] [p2_{1}11] [9] [P112_{1}] [10] [P12_{1}(1)] [15] [p12_{1}1] [p12_{1}]
[10] [c211] [10] [C112] [11] [C12(1)] [16] [c121] [c12]
[11] [pm11] [11] [P11m] [3] [P1m(1)] [8] [p1m1] [p1m]
[12] [pb11] [12] [P11a] [5] [P1a(1)] [10] [p1a1] [p1b]
[13] [cm11] [13] [C11m] [7] [C1m(1)] [12] [c1m1] [c1m]
[14] [p2/m11] [14] [P112/m] [12] [P12/m(1)] [17] [p12/m1] [p12/m]
[15] [p2_{1}/m11] [15] [P112_{1}/m] [14] [P12_{1}/m(1)] [18] [p12_{1}/m1] [p12_{1}/m]
[16] [p2/b11] [17] [P112/a] [16] [P12/a(1)] [20] [p12/a1] [p12/b]
[17] [p2_{1}/b11] [18] [P112_{1}/a] [18] [P12_{1}/a(1)] [21] [p12_{1}/a1] [p12_{1}/b]
[18] [c2/m11] [16] [C112/m] [15] [C12/m(1)] [19] [c12/m1] [c12/m]
Orthorhombic/rectangular [19] [p222] [19] [P222] [33] [P22(2)] [37] [p222] [p222]
[20] [p2_{1}22] [20] [P222_{1}] [34] [P2_{1}2(2)] [38] [p2_{1}22] [p222_{1}]
[21] [p2_{1}2_{1}2] [21] [P22_{1}2_{1}] [35] [P2_{1}2_{1}(2)] [39] [p2_{1}2_{1}2] [p22_{1}2_{1}]
[22] [c222] [22] [C222] [36] [C22(2)] [40] [c222] [c222]
[23] [pmm2] [23] [P2mm] [19] [Pmm(2)] [22] [pmm2] [p2mm]
[24] [pma2] [28] [P2ma] [24] [Pma(2)] [24] [pbm2] [p2ma]
[25] [pba2] [33] [P2ba] [29] [Pba(2)] [26] [pba2] [p2ba]
[26] [cmm2] [34] [C2mm] [30] [Cmm(2)] [28] [cmm2] [c2mm]
[27] [pm2m] [24] [Pmm2] [20] [P2m(m)] [9] [p2mm] [pm2m]
[28] [pm2_{1}b] [26] [Pbm2_{1}] [21] [P2_{1}m(a)] [30] [p2_{1}ma] [pa2_{1}m]
[29] [pb2_{1}m] [25] [Pm2_{1}a] [22] [P2_{1}a(m)] [11] [p2_{1}am] [pm2_{1}a]
[30] [pb2b] [27] [Pbb2] [23] [P2a(a)] [31] [p2aa] [pa2a]
[31] [pm2a] [29] [Pam2] [25] [P2m(b)] [32] [p2mb] [pb2m]
[32] [pm2_{1}n] [32] [Pnm2_{1}] [28] [P2_{1}m(n)] [35] [p2_{1}mn] [pn2_{1}m]
[33] [pb2_{1}a] [30] [Pab2_{1}] [26] [P2_{1}a(b)] [33] [p2_{1}ab] [pb2_{1}a]
[34] [pb2n] [31] [Pnb2] [27] [P2a(n)] [34] [p2an] [pn2a]
[35] [cm2m] [35] [Cmm2] [31] [C2m(m)] [13] [c2mm] [cm2m]
[36] [cm2e] [36] [Cam2] [32] [Cm2(a)] [36] [c2mb] [cb2m]
[37] [pmmm] [37] [P2/m2/m2/m] [37] [P2/m2/m(2/m)] [23] [pmmm] [p2/m2/m2/m]
[38] [pmaa] [38] [P2/a2/m2/a] [38] [P2/m2/a(2/a)] [41] [pmaa] [p2/a2/m2/a]
[39] [pban] [39] [P2/n2/b2/a] [39] [P2/b2/a(2/n)] [42] [pban] [p2/n2/b2/a]
[40] [pmam] [40] [P2/m2_{1}/m2/a] [41] [P2/b2_{1}/m(2/m)] [25] [pbmm] [p2/m2_{1}/m2/a]
[41] [pmma] [41] [P2/a2_{1}/m2/m] [40] [P2_{1}/m2/m(2/a)] [43] [pmma] [p2/a2_{1}/m2/m]
[42] [pman] [42] [P2/n2/m2_{1}/a] [42] [P2_{1}/b2/m(2/n)] [44] [pbmn] [p2/n2/m2_{1}/a]
[43] [pbaa] [43] [P2/a2/b2_{1}/a] [43] [P2/b2_{1}/a(2/a)] [45] [pbaa] [p2/a2/b2_{1}/a]
[44] [pbam] [44] [P2/m2_{1}/b2_{1}/a] [44] [P2_{1}/b2_{1}/a(2/m)] [27] [pbam] [p2/m2_{1}/b2_{1}/a]
[45] [pbma] [45] [P2/a2_{1}/b2_{1}/m] [45] [P2_{1}/m2_{1}/a(2/b)] [46] [pmab] [p2/a2_{1}/b2_{1}/m]
[46] [pmmn] [46] [P2/n2_{1}/m2_{1}/m] [46] [P2_{1}/m2_{1}/m(2/n)] [47] [pmmn] [p2/n2_{1}/m2_{1}/m]
[47] [cmmm] [47] [C2/m2/m2/m] [47] [C2/m2/m(2/m)] [29] [cmmm] [c2/m2/m2/m]
[48] [cmme] [48] [C2/a2/m2/m] [48] [C2/m2/m(2/a)] [48] [cmma] [c2/a2/m2/m]
[49] [p4] [49] [P4] [54] [P(4)11] [50] [p4] [p4]
[50] [p\bar{4}] [50] [P\bar{4}] [49] [P(\bar{4})11] [49] [p\bar{4}] [p\bar{4}]
[51] [p4/m] [51] [P4/m] [55] [P(4/m)11] [51] [p4/m] [p4/m]
[52] [p4/n] [52] [P4/n] [56] [P(4/n)11] [57] [p4/n] [p4/n]
[53] [p422] [53] [P422] [59] [P(4)22] [55] [p422] [p422]
[54] [p42_{1}2] [54] [P42_{1}2] [60] [P(4)2_{1}2] [56] [p42_{1}2] [p42_{1}2]
[55] [p4mm] [55] [P4mm] [57] [P(4)mm] [52] [p4mm] [p4mm]
[56] [p4bm] [56] [P4bm] [58] [P(4)bm] [59] [p4bm] [p4bm]
[57] [p\bar{4}2m] [57] [P\bar{4}2m] [50] [P(\bar{4})2m] [54] [p\bar{4}2m] [p\bar{4}2m]
[58] [p\bar{4}2_{1}m] [58] [P\bar{4}2_{1}m] [51] [P(\bar{4})2_{1}m] [60] [p\bar{4}2_{1}m] [p\bar{4}2_{1}m]
[59] [p\bar{4}m2] [59] [P\bar{4}m2] [52] [P(\bar{4})m2] [61] [p\bar{4}m2] [p\bar{4}m2]
[60] [p\bar{4}b2] [60] [P\bar{4}b2] [53] [P(\bar{4})b2] [64] [p\bar{4}b2] [p\bar{4}b2]
[61] [p4/mmm] [61] [P4/m2/m2/m] [61] [P(4/m)2/m2/m] [53] [p4/mmm] [p4/m2/m2/m]
[62] [p4/nbm] [62] [P4/n2/b2/m] [62] [P(4/n)2/b2/m] [62] [p4/nbm] [p4/n2/b2/m]
[63] [p4/mbm] [63] [P4/m2_{1}/b2/m] [63] [P(4/m)2_{1}/b2/m] [58] [p4/mbm] [p4/m2_{1}/b2/m]
[64] [p4/nmm] [64] [P4/n2_{1}/m2/m] [64] [P(4/n)2_{1}/m2/m] [63] [p4/nmm] [p4/n2_{1}/m2/m]
[65] [p3] [65] [P3] [65] [P(3)11] [65] [p3] [p3]
[66] [p\bar{3}] [66] [P\bar{3}] [66] [P(\bar{3})11] [67] [p\bar{3}] [p\bar{3}]
[67] [p312] [67] [P312] [70] [P(3)12] [72] [p312] [p312]
[68] [p321] [68] [P321] [69] [P(3)21] [73] [p321] [p321]
[69] [p3m1] [69] [P3m1] [67] [P(3)m1] [68] [p3m1] [p3m1]
[70] [p31m] [70] [P31m] [68] [P(3)1m] [70] [p31m] [p31m]
[71] [p\bar{3}1m] [71] [P\bar{3}12/m] [72] [P(\bar{3})1m] [74] [p\bar{3}1m] [p\bar{3}12/m]
[72] [p\bar{3}m1] [72] [P\bar{3}2/m1] [71] [P(\bar{3})m1] [75] [p\bar{3}m1] [p\bar{3}2/m1]
[73] [p6] [73] [P6] [76] [P(6)11] [76] [p6] [p6]
[74] [p\bar{6}] [74] [P\bar{6}] [73] [P(\bar{6})11] [66] [p\bar{6}] [p\bar{6}]
[75] [p6/m] [75] [P6/m] [77] [P(6/m)11] [77] [p6/m] [p6/m]
[76] [p622] [76] [P622] [79] [P(6)22] [80] [p622] [p622]
[77] [p6mm] [77] [P6mm] [78] [P(6)mm] [78] [p6mm] [p6mm]
[78] [p\bar{6}m2] [78] [P\bar{6}m2] [74] [P(\bar{6})m2] [69] [p\bar{6}m2] [p\bar{6}m2]
[79] [p\bar{6}2m] [79] [P\bar{6}2m] [75] [P(\bar{6})2m] [71] [p\bar{6}2m] [p\bar{6}2m]
[80] [p6/mmm] [80] [P6/m2/m2/m] [80] [P(6/m)2/m2/m] [79] [p6/mmm] [p6/m2/m2/m]

(b) Columns 10–17.

  10 11 12 13 14 15 16 17
Triclinic/oblique [1] [C_{1}\bar{p}] [C_{1}^{1}] [1P1] [(a/b)\cdot 1] [1p1] [p1] [p1]
[2] [S_{2}\bar{p}] [C_{i}^{1}] [1P\bar{1}] [(a/b)\cdot \bar{1}] [1p\bar{1}] [p2'] [p2']
Monoclinic/oblique [8] [C_{2}\bar{p}] [C_{2}^{1}] [1P2] [(a/b):2] [1p112] [p2] [p2]
[3] [C_{1h}\bar{p}\mu ] [C_{1h}^{1}] [mP1] [(a/b)\cdot m] [mp1] [p^{*}1]  
[4] [C_{1h}\bar{p}\alpha ] [C_{1h}^{2}] [aP1] [(a/b)\cdot \bar{b}] [bp1] [p_{b'}'1] [p_{b}'1]
[12] [C_{2h}\bar{p}\mu ] [C_{2h}^{1}] [mP2] [(a/b)\cdot m:2] [mp112] [p^{*}2]  
[13] [C_{2h}\bar{p}\alpha ] [C_{2h}^{2}] [aP2] [(a/b)\cdot \bar{b}:2] [bp112] [p_{b'}'2] [p_{b}'2]
Monoclinic/rectangular [9] [D_{1}\bar{p}1] [C_{2}^{2}] [1P12] [(a:b)\cdot 2] [1p12] [p1m'1] [pm']
[10] [D_{1}\bar{p}2] [C_{2}^{3}] [1P12_{1}] [(a:b)\cdot 2_{1}] [1p12_{1}] [p1g'1] [pg']
[11] [D_{1}\bar{c}1] [C_{2}^{4}] [1C12] [\left({{a+b}\over2}/a:b\right)\cdot 2] [1c12] [c1m'1] [cm']
[5] [C_{1v}\bar{p}\mu ] [C_{1h}^{3}] [1P1m] [(a:b):m] [1p1m] [p11m] [pm]
[6] [C_{1v}\bar{p}\beta ] [C_{1h}^{4}] [1P1g] [(a:b):\bar{a}] [1p1a] [p11g] [pg]
[7] [C_{1v}\bar{c}\mu ] [C_{1h}^{5}] [1C1m] [\left({{a+b}\over2}/a:b\right):m] [1c1m] [c11m] [cm]
[14] [D_{1d}\bar{p}\mu 1] [C_{2h}^{3}] [1P12/m] [(a:b)\cdot 2:m] [1p12/m] [p2'm'm] [pm'm]
[15] [D_{1d}\bar{p}\mu 2] [C_{2h}^{5}] [1P12_{1}/m] [(a:b)\cdot 2_{1}:m] [1p12_{1}/m] [p2'g'm] [pg'm]
[18] [D_{1d}\bar{p}\beta 2] [C_{2h}^{6}] [1P12/g] [(a:b)\cdot 2\cdot \bar{a}] [1p12_{1}/a] [p2'g'g] [pg'g]
[17] [D_{1d}\bar{p}\beta 1] [C_{2h}^{4}] [1P12_{1}/g] [(a:b)\cdot 2_{1}:\bar{a}] [1p12/a] [p2'm'g] [pm'g]
[16] [D_{1d}\bar{c}\mu 1] [C_{2h}^{7}] [1C12/m] [\left({{a+b}\over2}/a:b\right)\cdot 2:m] [1c12/m] [c2'm'm] [cm'm]
Orthorhombic/rectangular [33] [D_{2}\bar{p}11] [V^{1}] [1P222] [(a:b):2:2] [1p222] [p2m'm'] [pm'm']
[34] [D_{2}\bar{p}12] [V^{3}] [1P222_{1}] [(a:b):2:2_{1}] [1p22_{1}2] [p2g'm'] [pm'g']
[35] [D_{2}\bar{p}22] [V^{2}] [1P22_{1}2_{1}] [(a:b)\cdot 2_{1}:2_{1}] [1p2_{1}2_{1}2] [p2g'g'] [pg'g']
[36] [D_{2}\bar{c}11] [V^{4}] [1C222] [\left({{a+b}\over2}/a:b\right):2:2] [1c222] [c2m'm'] [cm'm']
[19] [C_{2v}\bar{p}\mu \mu ] [C_{2v}^{1}] [1P2mm] [(a:b):2\cdot m] [1pmm2] [p2mm] [pmm]
[20] [C_{2v}\bar{p}\mu \alpha ] [C_{2v}^{2}] [1P2mg] [(a:b):2\cdot \bar{b}] [1pma2] [p2mg] [pmg]
[21] [C_{2v}\bar{p}\beta \alpha ] [C_{2v}^{10}] [1P2gg] [(a:b):\bar{a}:\bar{b}] [1pba2] [p2gg] [pgg]
[22] [C_{2v}\bar{c}\mu \mu ] [C_{2v}^{3}] [1C2mm] [\left({{a+b}\over2}/a:b\right):m\cdot 2] [1cmm2] [c2mm] [cmm]
[23] [D_{1h}\bar{p}\mu \mu ] [C_{2v}^{4}] [mP12m] [(a:b)\cdot m\cdot 2] [mpm2] [p^{*}1m1]  
[25] [D_{1h}\bar{p}\beta \mu ] [C_{2v}^{5}] [aP12_{1}m] [(a:b):m\cdot 2_{1}] [bpm2_{1}] [p_{b'}'1m1] [p_{a}'1m]
[24] [D_{1h}\bar{p}\mu \beta ] [C_{2v}^{7}] [mP12_{1}g] [(a:b)\cdot m\cdot 2_{1}] [mpb2_{1}] [p^{*}1g1]  
[26] [D_{1h}\bar{p}\beta \beta ] [C_{2v}^{6}] [aP12g] [(a:b)\cdot \bar{a}\cdot 2] [bpb2] [p_{b'}'1m'1] [p_{a}'1g]
[27] [D_{1h}\bar{p}\alpha \mu ] [C_{2v}^{11}] [bP12m] [(a:b)\cdot \bar{b}\cdot 2] [apm2] [p_{a'}'1m1] [p_{b}'1m]
[30] [D_{1h}\bar{p}\upsilon \mu ] [C_{2v}^{13}] [nP12_{1}m] [(a:b)\cdot ab\cdot 2_{1}] [npm2_{1}] [c'1m1] [p_{c}'1m]
[28] [D_{1h}\bar{p}\alpha \beta ] [C_{2v}^{14}] [bP12_{1}g] [(a:b)\cdot \bar{b}:\bar{a}] [apb2_{1}] [p_{a'}'1g1] [p_{b}'1g]
[29] [D_{1h}\bar{p}\upsilon \beta ] [C_{2v}^{12}] [nP12g] [(a:b)\cdot ab\cdot 2] [npb2] [c'1m'1] [p_{c}'1m']
[31] [D_{1h}\bar{c}\mu \mu ] [C_{2v}^{8}] [mC12m] [\left({{a+b}\over2}/a:b\right)\cdot m\cdot 2] [mcm2] [c^{*}1m1]  
[32] [D_{1h}\bar{c}\alpha \mu ] [C_{2v}^{9}] [aC12m] [\left({{a+b}\over2}/a:b\right)\cdot \bar{b}\cdot 2] [acm2] [p_{a'b'}'1m1] [c'1m]
[37] [D_{2h}\bar{p}\mu \mu \mu ] [V_{h}^{1}] [mP2mm] [(a:b)\cdot m:2\cdot m] [mp2/m2/m2] [p^{*}2mm]  
[38] [D_{2h}\bar{p}\alpha \mu \alpha ] [V_{h}^{5}] [aP2mg] [(a:b)\cdot \bar{a}:2\cdot \bar{a}] [ip2/m2/a2] [p_{a'}'2mg] [p_{a}'mg]
[39] [D_{2h}\bar{p}\upsilon \beta \alpha ] [V_{h}^{6}] [nP2gg] [(a:b)\cdot ab:2\cdot a] [np2/b2/a2] [c'2m'm'] [p_{c}'m'm']
[40] [D_{2h}\bar{p}\mu \mu \alpha ] [V_{h}^{3}] [mP2mg] [(a:b)\cdot m:2\cdot \bar{b}] [np2_{1}/m2/a2] [p^{*}2mg]  
[41] [D_{2h}\bar{p}\alpha\mu\mu] [V_{h}^{9}] [aP2mm] [(a:b)\cdot \bar{a}:2\cdot m] [ap2_{1}/m2/m2] [p_{a'}'2mm] [p_{b}'mm]
[42] [D_{2h}\bar{p}\upsilon \mu \alpha ] [V_{h}^{11}] [nP2mg] [(a:b)\cdot ab:2\cdot b] [np2/m2_{1}/a2] [c'2mm'] [p_{c}'m'm]
[43] [D_{2h}\bar{p}\alpha \beta \alpha ] [V_{h}^{10}] [aP2gg] [(a:b)\cdot \bar{a}\cdot 2:\bar{b}] [ap2/b2_{1}/a2] [p_{a'}'2gg] [p_{b}'gg]
[44] [D_{2h}\bar{p}\mu \beta \alpha ] [V_{h}^{2}] [mP2gg] [(a:b)\cdot m:\bar{a}:\bar{b}] [np2_{1}/b2_{1}/a2] [p^{*}2gg]  
[45] [D_{2h}\bar{p}\alpha \beta \mu ] [V_{h}^{7}] [aP2gm] [(a:b)\cdot \bar{b}:2\cdot \bar{a}] [ap2_{1}/b2_{1}/m2] [p_{a'}'2gm] [p_{b}'mg]
[46] [D_{2h}\bar{p}\upsilon \mu \mu ] [V_{h}^{8}] [nP2mm] [(a:b)\cdot ab:2\cdot m] [np2_{1}/m2_{1}/m2] [c'2mm] [p_{c}'mm]
[47] [D_{2h}\bar{c}\mu \mu \mu ] [V_{h}^{4}] [mC2mm] [\left({{a+b}\over2}/a:b\right)\cdot m:2\cdot m] [mc2/m2/m2] [c^{*}2mm]  
[48] [D_{2h}\bar{c}\alpha \mu \mu ] [V_{h}^{12}] [aC2mm] [\left({{a+b}\over2}/a:b\right)\cdot \bar{a}:2\cdot m] [ac2/m2/m2] [p_{a'b'}'2mm] [c'mm]
[58] [C_{4}\bar{p}] [C_{4}^{1}] [1P4] [(a:a):4] [1p4] [p4] [p4]
[57] [S_{4}\bar{p}] [S_{4}^{1}] [1P\bar{4}] [(a:a):\bar{4}] [1p\bar{4}] [p4'] [p4']
[61] [C_{4h}\bar{p}\mu ] [C_{4h}^{1}] [mP4] [(a:a):4:m] [mp4] [p^{*}4]  
[62] [C_{4h}\bar{p}\upsilon ] [C_{4h}^{2}] [nP4] [(a:a):4:ab] [np4] [c'4] [p'4]
[67] [D_{4}\bar{p}11] [D_{4}^{1}] [1P422] [(a:a):4:2] [1p422] [p4m'm'] [p4m'm']
[68] [D_{4}\bar{p}21] [D_{4}^{2}] [1P42_{1}2] [(a:a):4:2_{1}] [1p42_{1}2] [p4g'm'] [p4g'm']
[59] [C_{4v}\bar{p}\mu \mu ] [C_{4v}^{1}] [1P4mm] [(a:a):4\cdot m] [1p4mm] [p4mm] [p4mm]
[60] [C_{4v}\bar{p}\beta \mu ] [C_{4v}^{2}] [1P4gm] [(a:a):4\odot b] [1p4bm] [p4gm] [p4gm]
[63] [D_{2d}\bar{p}\mu 1] [V_{d}^{1}] [1P\bar{4}2m] [(a:a):\bar{4}:2] [1p\bar{4}2m] [p4'm'm] [p4'm'm]
[64] [D_{2d}\bar{p}\mu 2] [V_{d}^{2}] [1P\bar{4}2_{1}m] [(a:a):\bar{4}\odot 2_{1}] [1p\bar{4}2_{1}m] [p4'g'm] [p4'g'm]
[65] [D_{2d}\bar{c}\mu 1] [V_{d}^{3}] [1P\bar{4}m2] [(a:a):\bar{4}\cdot m] [1p\bar{4}m2] [p4'mm'] [p4'mm']
[66] [D_{2d}\bar{c}\beta 1] [V_{d}^{4}] [1P\bar{4}g2] [(a:a):\bar{4}\odot \bar{b}] [1p\bar{4}b2] [p4'gm'] [p4'gm']
[69] [D_{4h}\bar{p}\mu \mu \mu ] [D_{4h}^{1}] [mP4mm] [(a:a)\cdot m:4\cdot m] [mp42/m2/m] [p^{*}4mm]  
[70] [D_{4h}\bar{p}\upsilon \beta \mu ] [D_{4h}^{2}] [nP4gm] [(a:a):ab:4\odot b] [np42/b2/m] [c'4m'm] [p'4gm]
[71] [D_{4h}\bar{p}\mu \beta \mu ] [D_{4h}^{3}] [mP4gm] [(a:a)\cdot m:4\odot b] [mp42_{1}/b2/m] [p^{*}4gm]  
[72] [D_{4h}\bar{p}\upsilon \mu \mu ] [D_{4h}^{4}] [nP4mm] [(a:a)\cdot ab:4\cdot m] [np42_{1}/m2/m] [c'4mm] [p'4mm]
[49] [C_{3}\bar{c}] [C_{3}^{1}] [1P3] [(a/a):3] [1p3] [p3] [p3]
[50] [S_{6}\bar{p}] [C_{3i}^{1}] [1P\bar{3}] [(a/a):\bar{3}] [1p\bar{3}] [p6'] [p6']
[54] [D_{3}\bar{c}1] [D_{3}^{1}] [1P312] [(a/a):2:3] [1p312] [p3m'1] [p3m'1]
[53] [D_{3}\bar{h}1] [D_{3}^{2}] [1P321] [(a/a)\cdot 2:3] [1p321] [p31m'] [p31m']
[51] [C_{3v}\bar{c}\mu ] [C_{3v}^{2}] [1P3m1] [(a/a):m\cdot 3] [1p3m1] [p3m1] [p3m1]
[52] [C_{3v}\bar{h}\mu ] [C_{3v}^{1}] [1P31m] [(a/a)\cdot m\cdot 3] [1p31m] [p31m] [p31m]
[55] [D_{3d}\bar{c}\mu 1] [D_{3d}^{2}] [1P\bar{3}1m] [(a/a)\cdot m\cdot \bar{6}] [1p\bar{3}12/m] [p6'm'm] [p6'm'm]
[56] [D_{3d}\bar{h}\mu 1] [D_{3d}^{1}] [1P\bar{3}m1] [(a/a):m\cdot \bar{6}] [1p\bar{3}2/m1] [p6'mm'] [p6'mm']
[76] [C_{6}\bar{c}] [C_{6}^{1}] [1P6] [(a/a):6] [1p6] [p6] [p6]
[73] [C_{3h}\bar{c}\mu ] [C_{3h}^{1}] [mP3] [(a/a):3:m] [mp3] [p^{*}3]  
[78] [C_{6h}\bar{c}\mu ] [C_{6h}^{1}] [mP6] [(a/a)\cdot m:6] [mp6] [p^{*}6]  
[79] [D_{6}\bar{c}11] [D_{6}^{1}] [1P622] [(a/a)\cdot 2:6] [1p622] [p6m'm'] [p6m'm']
[77] [C_{6v}\bar{c}\mu \mu ] [C_{6v}^{1}] [1P6mm] [(a/a):m\cdot 6] [1p6mm] [p6mm] [p6mm]
[74] [D_{3h}\bar{c}\mu \mu ] [D_{3h}^{1}] [mP3m2] [(a/a):m\cdot 3:m] [mp3m2] [p^{*}3m1]  
[75] [D_{3h}\bar{h}\mu \mu ] [D_{3h}^{2}] [mP32m] [(a/a)\cdot m:3\cdot m] [mp32m] [p^{*}31m]  
[80] [D_{6h}\bar{c}\mu \mu \mu ] [D_{6h}^{1}] [mP6mm] [(a/a)\cdot m:6\cdot m] [mp6mm] [p^{*}6mm]  

(c) Columns 18–25.

  18 19 20 21 22 23 24 25
Triclinic/oblique [p1] [47]     [p1]      
[p2'] [1] [p2'] [p2^{-}] [p2'] [p2[2]_{1}] [2'11] [p2/p1]
Monoclinic/oblique [p2] [48]     [p2]      
[p1'] [64]     [p11']      
[p_{b}'1] [2] [pt'] [pt^{-}] [p_{2b}1] [p1[2]] [b11] [p1/p1]
[p21'] [65]     [p21']      
[p_{b}'2] [3] [p2t'] [p2t^{-}] [p_{2b}2] [p2[2]_{2}] [2/b11] [p2/p2]
Monoclinic/rectangular [pm'] [4] [pm'] [pm^{-}] [pm'] [pm[2]_{4}] [12'1] [pm/p1]
[pg'] [5] [pg'] [pg^{-}] [pg'] [pg[2]_{1}] [112_{1}'] [pg/p1]
[cm'] [6 ] [cm'] [cm^{-}] [cm'] [cm[2]_{1}] [c112'] [cm/p1]
[pm] [49]     [pm]      
[pg] [50]     [pg]      
[cm] [51 ]     [cm]      
[pmm'] [14] [pmm'] [pmm^{-}] [pm'm] [pmm[2]_{2}] [2'2'2] [pmm/pm]
[pmg'] [17] [pmg'] [pmg^{-}] [pmg'] [pmg[2]_{4}] [2'2_{1}'2] [pmg/pm]
[pgg'] [18] [pgg'] [pgg^{-}] [pgg'] [pgg[2]_{1}] [2'2_{1}'2_{1}] [pgg/pg]
[pm'g] [16] [pm'g] [pm^{-}g] [pm'g] [pmg[2]_{2}] [2'2_{1}2'] [pmg/pg]
[cmm'] [21] [cmm'] [cmm^{-}] [cmm'] [cmm[2]_{2}] [c2'22'] [cmm/cm]
Orthorhombic/rectangular [pm'm'] [15] [pm'm'] [pm^{-}m^{-}] [pm'm'] [pmm[2]_{5}] [22'2'] [pmm/p2]
[pm'g'] [20] [pm'g'] [pm^{-}g^{-}] [pm'g'] [pmg[2]_{5}] [22'2_{1}'] [pmg/p2]
[pg'g'] [19] [pg'g'] [pg^{-}g^{-}] [pg'g'] [pgg[2]_{2}] [22_{1}'2_{1}'] [pgg/p2]
[cm'm'] [22] [cm'm'] [cm^{-}m^{-}] [cm'm'] [cmm[2]_{4}] [c22'2'] [cmm/p2]
[pmm2] [52]     [pmm]      
[pmg2] [53]     [pmg]      
[pgg2] [54]     [pgg]      
[cmm2] [55]     [cmm]      
[pm1'] [66]     [pm1']      
[p_{b}'m] [7] [pm+t'] [pm+t^{-}] [p_{2b}m] [pm[2]_{3}] [b12] [pm/pm(m)]
[pg1'] [67]     [pg1']      
[p_{b}'g] [8] [pg+t'] [pg+t^{-}] [p_{2b}m'] [pm[2]_{1}] [b12_{1}] [pm/pg]
[p_{b}'1m] [9] [pm+m'] [pm+m^{-}] [p_{2a}m] [pm[2]_{5}] [b'1m] [pm/pm(m')]
[p_{c}'m] [11] [pm+g'] [pm+g^{-}] [c_{p}m] [cm[2]_{3}] [n12] [cm/pm]
[p_{b}'1g] [10] [pg+g'] [pg+g^{-}] [p_{2a}g] [pg[2]_{2}] [b2_{1}1] [pg/pg]
[p_{c}'g] [12] [pg+m'] [pg+m^{-}] [c_{p}m'] [cm[2]_{2}] [n12_{1}] [cm/pg]
[cm1'] [68]     [cm1']      
[c'm] [13] [cm+m'] [cm+m^{-}] [p_{c}m] [pm[2]_{2}] [ca12] [pm/cm]
[pmm21'] [69]     [pmm1']      
[p_{b}'gm] [25] [pg,m+m'] [pg,m+m^{-}] [p_{2a}mm'] [pmm[2]_{4}] [a2_{1}2] [pmm/pmg]
[p_{c}'gg] [29] [pg+m',g+m'] [pg+m^{-},g+m^{-}] [c_{p}m'm'] [cmm[2]_{1}] [n2_{1}2_{1}] [cmm/pgg]
[pmg21'] [70]     [pmg1']      
[p_{b}'mm] [23] [pm,m+m'] [pm,m+m^{-}] [p_{2a}mm] [pmm[2]_{1}] [a22] [pmm/pmm]
[p_{c}'mg] [28] [pm+g',g+m'] [pm+g^{-},g+m^{-}] [c_{p}mm'] [cmm[2]_{3}] [n22_{1}] [cmm/pmg]
[p_{b}'gg] [26] [pg,g+g'] [pg,g+g^{-}] [p_{2b}m'g] [pmg[2]_{3}] [a2_{1}2_{1}] [pmg/pgg]
[pgg21'] [71]     [pgg1']      
[p_{b}'mg] [24] [pm,g+g'] [pm,g+g^{-}] [p_{2b}mg] [pmg[2]_{1}] [b2_{1}2] [pmg/pmg]
[p_{c}'mm] [27] [pm+g',m+g'] [pm+g^{-},m+g^{-}] [c_{p}mm] [cmm[2]_{5}] [n22] [cmm/pmm]
[cmm21'] [72]     [cmm1']      
[c'mm] [30] [cm+m',m+m'] [cm+m^{-},m+m^{-}] [p_{c}mm] [pmm[2]_{3}] [ca22] [pmm/cmm]
[p4] [56]     [p4]      
[p4'] [31] [p4'] [p4^{-}] [p4'] [p4[2]_{2}] [4'11] [p4/p2]
[p41'] [73]     [p41']      
[p_{c}'4] [32] [p4t'] [p4t^{-}] [p_{p}4] [p4[2]_{1}] [4/n11] [p4/p4]
[p4m'm'] [35] [p4m'm'] [p4m^{-}m^{-}] [p4m'] [pm4[2]_{2}] [42'2'] [p4m/p4]
[p4g'm'] [38] [p4g'm'] [p4g^{-}m^{-}] [p4g'] [p4g[2]_{1}] [42_{1}'2'] [p4g/p4]
[p4mm] [57]     [p4m]      
[p4gm] [58]     [p4g]      
[p4'm'm] [34] [p4'm'm] [p4^{-}m^{-}m] [p4'm'] [p4m[2]_{3}] [4'2'2] [p4m/cmm]
[p4'g'm] [37] [p4'g'm] [p4^{-}g^{-}m] [p4'g'] [p4g[2]_{2}] [4'2_{1}'2] [p4g/cmm]
[p4'mm'] [33] [p4'mm'] [p4^{-}mm^{-}] [p4'm] [p4m[2]_{4}] [4'22'] [p4m/pmm]
[p4'gm'] [36] [p4'gm'] [p4^{-}gm^{-}] [p4'g] [p4g[2]_{3}] [4'2_{1}2'] [p4g/pgg]
[p4mm1'] [74]     [p4m1']      
[p_{c}'4gm] [40] [p4g+m',m+m'] [p4g+m^{-},m+m^{-}] [p_{p}4m'] [p4m[2]_{1}] [4/n2_{1}2] [p4m/p4g]
[p4gm1'] [75]     [p4g1']      
[p_{c}'4mm] [39] [p4m+g',m+m'] [p4m+g^{-},m+m^{-}] [p_{p}4m] [p4m[2]_{5}] [4/n22] [p4m/p4m]
[p3] [59]     [p3]      
[p6'] [43] [p6'] [p6^{-}] [p6'] [p6[2]] [6'] [p6/p3]
[p3m'] [41] [p3m'1] [p3m^{-}1] [p3m'1] [p3m1[2]] [312'] [p3m1/p3]
[p31m'] [42] [p31m'] [p31m^{-}] [p31m'] [p31m[2]] [32'1] [p31m/p3]
[p3m] [60]     [p3m1]      
[p31m] [61]     [p31m]      
[p6'm'm] [44] [p6'm'm] [p6^{-}m^{-}m] [p6'm'] [p6m[2]_{1}] [6'22'] [p6m/p31m]
[p6'mm'] [45] [p6'mm'] [p6^{-}mm^{-}] [p6'm] [p6m[2]_{2}] [6'2'2] [p6m/p3m1]
[p6] [62]     [p6]      
[p3'] [76]     [p31']      
[p61'] [79]     [p61']      
[p6m'm'] [46] [p6m'm'] [p6m^{-}m^{-}] [p6m'] [p6m[2]_{3}] [62'2'] [p6m/p6]
[p6mm] [63]     [p6m]      
[p3'm] [77]     [p3m11']      
[p3'1m] [78]     [p31m1']      
[p6mm1'] [80]     [p6m1']