Hermann Mauguin Symbol
Number Schoenflies Hermann-Mauguin Hall
1 C\$_{1}^{1}\$ P1 P 1
2 C\$_{i}^{1}\$ P-1 -P 1
3:b C\$_{2}^{1}\$ P2:b = P121 P 2y
3:c C\$_{2}^{1}\$ P2:c = P112 P 2
3:a C\$_{2}^{1}\$ P2:a = P211 P 2x
4:b C\$_{2}^{2}\$ P21:b = P1211 P 2yb
4:c C\$_{2}^{2}\$ P21:c = P1121 P 2c
4:a C\$_{2}^{2}\$ P21:a = P2111 P 2xa
5:b1 C\$_{2}^{3}\$ C2:b1 = C121 C 2y
5:b2 C\$_{2}^{3}\$ C2:b2 = A121 A 2y
5:b3 C\$_{2}^{3}\$ C2:b3 = I121 I 2y
5:c1 C\$_{2}^{3}\$ C2:c1 = A112 A 2
5:c2 C\$_{2}^{3}\$ C2:c2 = B112 = B2 B 2
5:c3 C\$_{2}^{3}\$ C2:c3 = I112 I 2
5:a1 C\$_{2}^{3}\$ C2:a1 = B211 B 2x
5:a2 C\$_{2}^{3}\$ C2:a2 = C211 C 2x
5:a3 C\$_{2}^{3}\$ C2:a3 = I211 I 2x
6:b C\$_{s}^{1}\$ Pm:b = P1m1 P -2y
6:c C\$_{s}^{1}\$ Pm:c = P11m P -2
6:a C\$_{s}^{1}\$ Pm:a = Pm11 P -2x
7:b1 C\$_{s}^{2}\$ Pc:b1 = P1c1 P -2yc
7:b2 C\$_{s}^{2}\$ Pc:b2 = P1n1 P -2yac
7:b3 C\$_{s}^{2}\$ Pc:b3 = P1a1 P -2ya
7:c1 C\$_{s}^{2}\$ Pc:c1 = P11a P -2a
7:c2 C\$_{s}^{2}\$ Pc:c2 = P11n P -2ab
7:c3 C\$_{s}^{2}\$ Pc:c3 = P11b = Pb P -2b
7:a1 C\$_{s}^{2}\$ Pc:a1 = Pb11 P -2xb
7:a2 C\$_{s}^{2}\$ Pc:a2 = Pn11 P -2xbc
7:a3 C\$_{s}^{2}\$ Pc:a3 = Pc11 P -2xc
8:b1 C\$_{s}^{3}\$ Cm:b1 = C1m1 C -2y
8:b2 C\$_{s}^{3}\$ Cm:b2 = A1m1 A -2y
8:b3 C\$_{s}^{3}\$ Cm:b3 = I1m1 I -2y
8:c1 C\$_{s}^{3}\$ Cm:c1 = A11m A -2
8:c2 C\$_{s}^{3}\$ Cm:c2 = B11m = Bm B -2
8:c3 C\$_{s}^{3}\$ Cm:c3 = I11m I -2
8:a1 C\$_{s}^{3}\$ Cm:a1 = Bm11 B -2x
8:a2 C\$_{s}^{3}\$ Cm:a2 = Cm11 C -2x
8:a3 C\$_{s}^{3}\$ Cm:a3 = Im11 I -2x
9:b1 C\$_{s}^{4}\$ Cc:b1 = C1c1 C -2yc
9:b2 C\$_{s}^{4}\$ Cc:b2 = A1n1 A -2yac
9:b3 C\$_{s}^{4}\$ Cc:b3 = I1a1 I -2ya
9:-b1 C\$_{s}^{4}\$ Cc:-b1 = A1a1 A -2ya
9:-b2 C\$_{s}^{4}\$ Cc:-b2 = C1n1 C -2ybc
9:-b3 C\$_{s}^{4}\$ Cc:-b3 = I1c1 I -2yc
9:c1 C\$_{s}^{4}\$ Cc:c1 = A11a A -2a
9:c2 C\$_{s}^{4}\$ Cc:c2 = B11n B -2bc
9:c3 C\$_{s}^{4}\$ Cc:c3 = I11b I -2b
9:-c1 C\$_{s}^{4}\$ Cc:-c1 = B11b = Bb B -2b
9:-c2 C\$_{s}^{4}\$ Cc:-c2 = A11n A -2ac
9:-c3 C\$_{s}^{4}\$ Cc:-c3 = I11a I -2a
9:a1 C\$_{s}^{4}\$ Cc:a1 = Bb11 B -2xb
9:a2 C\$_{s}^{4}\$ Cc:a2 = Cn11 C -2xbc
9:a3 C\$_{s}^{4}\$ Cc:a3 = Ic11 I -2xc
9:-a1 C\$_{s}^{4}\$ Cc:-a1 = Cc11 C -2xc
9:-a2 C\$_{s}^{4}\$ Cc:-a2 = Bn11 B -2xbc
9:-a3 C\$_{s}^{4}\$ Cc:-a3 = Ib11 I -2xb
10:b C\$_{2h}^{1}\$ P2/m:b = P12/m1 -P 2y
10:c C\$_{2h}^{1}\$ P2/m:c = P112/m -P 2
10:a C\$_{2h}^{1}\$ P2/m:a = P2/m11 -P 2x
11:b C\$_{2h}^{2}\$ P21/m:b = P121/m1 -P 2yb
11:c C\$_{2h}^{2}\$ P21/m:c = P1121/m -P 2c
11:a C\$_{2h}^{2}\$ P21/m:a = P21/m11 -P 2xa
12:b1 C\$_{2h}^{3}\$ C2/m:b1 = C12/m1 -C 2y
12:b2 C\$_{2h}^{3}\$ C2/m:b2 = A12/m1 -A 2y
12:b3 C\$_{2h}^{3}\$ C2/m:b3 = I12/m1 -I 2y
12:c1 C\$_{2h}^{3}\$ C2/m:c1 = A112/m -A 2
12:c2 C\$_{2h}^{3}\$ C2/m:c2 = B112/m = B2/m -B 2
12:c3 C\$_{2h}^{3}\$ C2/m:c3 = I112/m -I 2
12:a1 C\$_{2h}^{3}\$ C2/m:a1 = B2/m11 -B 2x
12:a2 C\$_{2h}^{3}\$ C2/m:a2 = C2/m11 -C 2x
12:a3 C\$_{2h}^{3}\$ C2/m:a3 = I2/m11 -I 2x
13:b1 C\$_{2h}^{4}\$ P2/c:b1 = P12/c1 -P 2yc
13:b2 C\$_{2h}^{4}\$ P2/c:b2 = P12/n1 -P 2yac
13:b3 C\$_{2h}^{4}\$ P2/c:b3 = P12/a1 -P 2ya
13:c1 C\$_{2h}^{4}\$ P2/c:c1 = P112/a -P 2a
13:c2 C\$_{2h}^{4}\$ P2/c:c2 = P112/n -P 2ab
13:c3 C\$_{2h}^{4}\$ P2/c:c3 = P112/b = P2/b -P 2b
13:a1 C\$_{2h}^{4}\$ P2/c:a1 = P2/b11 -P 2xb
13:a2 C\$_{2h}^{4}\$ P2/c:a2 = P2/n11 -P 2xbc
13:a3 C\$_{2h}^{4}\$ P2/c:a3 = P2/c11 -P 2xc
14:b1 C\$_{2h}^{5}\$ P21/c:b1 = P121/c1 -P 2ybc
14:b2 C\$_{2h}^{5}\$ P21/c:b2 = P121/n1 -P 2yn
14:b3 C\$_{2h}^{5}\$ P21/c:b3 = P121/a1 -P 2yab
14:c1 C\$_{2h}^{5}\$ P21/c:c1 = P1121/a -P 2ac
14:c2 C\$_{2h}^{5}\$ P21/c:c2 = P1121/n -P 2n
14:c3 C\$_{2h}^{5}\$ P21/c:c3 = P1121/b = P21/b -P 2bc
14:a1 C\$_{2h}^{5}\$ P21/c:a1 = P21/b11 -P 2xab
14:a2 C\$_{2h}^{5}\$ P21/c:a2 = P21/n11 -P 2xn
14:a3 C\$_{2h}^{5}\$ P21/c:a3 = P21/c11 -P 2xac
15:b1 C\$_{2h}^{6}\$ C2/c:b1 = C12/c1 -C 2yc
15:b2 C\$_{2h}^{6}\$ C2/c:b2 = A12/n1 -A 2yac
15:b3 C\$_{2h}^{6}\$ C2/c:b3 = I12/a1 -I 2ya
15:-b1 C\$_{2h}^{6}\$ C2/c:-b1 = A12/a1 -A 2ya
15:-b2 C\$_{2h}^{6}\$ C2/c:-b2 = C12/n1 -C 2ybc
15:-b3 C\$_{2h}^{6}\$ C2/c:-b3 = I12/c1 -I 2yc
15:c1 C\$_{2h}^{6}\$ C2/c:c1 = A112/a -A 2a
15:c2 C\$_{2h}^{6}\$ C2/c:c2 = B112/n -B 2bc
15:c3 C\$_{2h}^{6}\$ C2/c:c3 = I112/b -I 2b
15:-c1 C\$_{2h}^{6}\$ C2/c:-c1 = B112/b = B2/b -B 2b
15:-c2 C\$_{2h}^{6}\$ C2/c:-c2 = A112/n -A 2ac
15:-c3 C\$_{2h}^{6}\$ C2/c:-c3 = I112/a -I 2a
15:a1 C\$_{2h}^{6}\$ C2/c:a1 = B2/b11 -B 2xb
15:a2 C\$_{2h}^{6}\$ C2/c:a2 = C2/n11 -C 2xbc
15:a3 C\$_{2h}^{6}\$ C2/c:a3 = I2/c11 -I 2xc
15:-a1 C\$_{2h}^{6}\$ C2/c:-a1 = C2/c11 -C 2xc
15:-a2 C\$_{2h}^{6}\$ C2/c:-a2 = B2/n11 -B 2xbc
15:-a3 C\$_{2h}^{6}\$ C2/c:-a3 = I2/b11 -I 2xb
16 D\$_{2}^{1}\$ P222 P 2 2
17 D\$_{2}^{2}\$ P2221 P 2c 2
17:cab D\$_{2}^{2}\$ P2122 P 2a 2a
17:bca D\$_{2}^{2}\$ P2212 P 2 2b
18 D\$_{2}^{3}\$ P21212 P 2 2ab
18:cab D\$_{2}^{3}\$ P22121 P 2bc 2
18:bca D\$_{2}^{3}\$ P21221 P 2ac 2ac
19 D\$_{2}^{4}\$ P212121 P 2ac 2ab
20 D\$_{2}^{5}\$ C2221 C 2c 2
20:cab D\$_{2}^{5}\$ A2122 A 2a 2a
20:bca D\$_{2}^{5}\$ B2212 B 2 2b
21 D\$_{2}^{6}\$ C222 C 2 2
21:cab D\$_{2}^{6}\$ A222 A 2 2
21:bca D\$_{2}^{6}\$ B222 B 2 2
22 D\$_{2}^{7}\$ F222 F 2 2
23 D\$_{2}^{8}\$ I222 I 2 2
24 D\$_{2}^{9}\$ I212121 I 2b 2c
25 C\$_{2v}^{1}\$ Pmm2 P 2 -2
25:cab C\$_{2v}^{1}\$ P2mm P -2 2
25:bca C\$_{2v}^{1}\$ Pm2m P -2 -2
26 C\$_{2v}^{2}\$ Pmc21 P 2c -2
26:ba-c C\$_{2v}^{2}\$ Pcm21 P 2c -2c
26:cab C\$_{2v}^{2}\$ P21ma P -2a 2a
26:-cba C\$_{2v}^{2}\$ P21am P -2 2a
26:bca C\$_{2v}^{2}\$ Pb21m P -2 -2b
26:a-cb C\$_{2v}^{2}\$ Pm21b P -2b -2
27 C\$_{2v}^{3}\$ Pcc2 P 2 -2c
27:cab C\$_{2v}^{3}\$ P2aa P -2a 2
27:bca C\$_{2v}^{3}\$ Pb2b P -2b -2b
28 C\$_{2v}^{4}\$ Pma2 P 2 -2a
28:ba-c C\$_{2v}^{4}\$ Pbm2 P 2 -2b
28:cab C\$_{2v}^{4}\$ P2mb P -2b 2
28:-cba C\$_{2v}^{4}\$ P2cm P -2c 2
28:bca C\$_{2v}^{4}\$ Pc2m P -2c -2c
28:a-cb C\$_{2v}^{4}\$ Pm2a P -2a -2a
29 C\$_{2v}^{5}\$ Pca21 P 2c -2ac
29:ba-c C\$_{2v}^{5}\$ Pbc21 P 2c -2b
29:cab C\$_{2v}^{5}\$ P21ab P -2b 2a
29:-cba C\$_{2v}^{5}\$ P21ca P -2ac 2a
29:bca C\$_{2v}^{5}\$ Pc21b P -2bc -2c
29:a-cb C\$_{2v}^{5}\$ Pb21a P -2a -2ab
30 C\$_{2v}^{6}\$ Pnc2 P 2 -2bc
30:ba-c C\$_{2v}^{6}\$ Pcn2 P 2 -2ac
30:cab C\$_{2v}^{6}\$ P2na P -2ac 2
30:-cba C\$_{2v}^{6}\$ P2an P -2ab 2
30:bca C\$_{2v}^{6}\$ Pb2n P -2ab -2ab
30:a-cb C\$_{2v}^{6}\$ Pn2b P -2bc -2bc
31 C\$_{2v}^{7}\$ Pmn21 P 2ac -2
31:ba-c C\$_{2v}^{7}\$ Pnm21 P 2bc -2bc
31:cab C\$_{2v}^{7}\$ P21mn P -2ab 2ab
31:-cba C\$_{2v}^{7}\$ P21nm P -2 2ac
31:bca C\$_{2v}^{7}\$ Pn21m P -2 -2bc
31:a-cb C\$_{2v}^{7}\$ Pm21n P -2ab -2
32 C\$_{2v}^{8}\$ Pba2 P 2 -2ab
32:cab C\$_{2v}^{8}\$ P2cb P -2bc 2
32:bca C\$_{2v}^{8}\$ Pc2a P -2ac -2ac
33 C\$_{2v}^{9}\$ Pna21 P 2c -2n
33:ba-c C\$_{2v}^{9}\$ Pbn21 P 2c -2ab
33:cab C\$_{2v}^{9}\$ P21nb P -2bc 2a
33:-cba C\$_{2v}^{9}\$ P21cn P -2n 2a
33:bca C\$_{2v}^{9}\$ Pc21n P -2n -2ac
33:a-cb C\$_{2v}^{9}\$ Pn21a P -2ac -2n
34 C\$_{2v}^{10}\$ Pnn2 P 2 -2n
34:cab C\$_{2v}^{10}\$ P2nn P -2n 2
34:bca C\$_{2v}^{10}\$ Pn2n P -2n -2n
35 C\$_{2v}^{11}\$ Cmm2 C 2 -2
35:cab C\$_{2v}^{11}\$ A2mm A -2 2
35:bca C\$_{2v}^{11}\$ Bm2m B -2 -2
36 C\$_{2v}^{12}\$ Cmc21 C 2c -2
36:ba-c C\$_{2v}^{12}\$ Ccm21 C 2c -2c
36:cab C\$_{2v}^{12}\$ A21ma A -2a 2a
36:-cba C\$_{2v}^{12}\$ A21am A -2 2a
36:bca C\$_{2v}^{12}\$ Bb21m B -2 -2b
36:a-cb C\$_{2v}^{12}\$ Bm21b B -2b -2
37 C\$_{2v}^{13}\$ Ccc2 C 2 -2c
37:cab C\$_{2v}^{13}\$ A2aa A -2a 2
37:bca C\$_{2v}^{13}\$ Bb2b B -2b -2b
38 C\$_{2v}^{14}\$ Amm2 A 2 -2
38:ba-c C\$_{2v}^{14}\$ Bmm2 B 2 -2
38:cab C\$_{2v}^{14}\$ B2mm B -2 2
38:-cba C\$_{2v}^{14}\$ C2mm C -2 2
38:bca C\$_{2v}^{14}\$ Cm2m C -2 -2
38:a-cb C\$_{2v}^{14}\$ Am2m A -2 -2
39 C\$_{2v}^{15}\$ Abm2 A 2 -2c
39:ba-c C\$_{2v}^{15}\$ Bma2 B 2 -2c
39:cab C\$_{2v}^{15}\$ B2cm B -2c 2
39:-cba C\$_{2v}^{15}\$ C2mb C -2b 2
39:bca C\$_{2v}^{15}\$ Cm2a C -2b -2b
39:a-cb C\$_{2v}^{15}\$ Ac2m A -2c -2c
40 C\$_{2v}^{16}\$ Ama2 A 2 -2a
40:ba-c C\$_{2v}^{16}\$ Bbm2 B 2 -2b
40:cab C\$_{2v}^{16}\$ B2mb B -2b 2
40:-cba C\$_{2v}^{16}\$ C2cm C -2c 2
40:bca C\$_{2v}^{16}\$ Cc2m C -2c -2c
40:a-cb C\$_{2v}^{16}\$ Am2a A -2a -2a
41 C\$_{2v}^{17}\$ Aba2 A 2 -2ac
41:ba-c C\$_{2v}^{17}\$ Bba2 B 2 -2bc
41:cab C\$_{2v}^{17}\$ B2cb B -2bc 2
41:-cba C\$_{2v}^{17}\$ C2cb C -2bc 2
41:bca C\$_{2v}^{17}\$ Cc2a C -2bc -2bc
41:a-cb C\$_{2v}^{17}\$ Ac2a A -2ac -2ac
42 C\$_{2v}^{18}\$ Fmm2 F 2 -2
42:cab C\$_{2v}^{18}\$ F2mm F -2 2
42:bca C\$_{2v}^{18}\$ Fm2m F -2 -2
43 C\$_{2v}^{19}\$ Fdd2 F 2 -2d
43:cab C\$_{2v}^{19}\$ F2dd F -2d 2
43:bca C\$_{2v}^{19}\$ Fd2d F -2d -2d
44 C\$_{2v}^{20}\$ Imm2 I 2 -2
44:cab C\$_{2v}^{20}\$ I2mm I -2 2
44:bca C\$_{2v}^{20}\$ Im2m I -2 -2
45 C\$_{2v}^{21}\$ Iba2 I 2 -2c
45:cab C\$_{2v}^{21}\$ I2cb I -2a 2
45:bca C\$_{2v}^{21}\$ Ic2a I -2b -2b
46 C\$_{2v}^{22}\$ Ima2 I 2 -2a
46:ba-c C\$_{2v}^{22}\$ Ibm2 I 2 -2b
46:cab C\$_{2v}^{22}\$ I2mb I -2b 2
46:-cba C\$_{2v}^{22}\$ I2cm I -2c 2
46:bca C\$_{2v}^{22}\$ Ic2m I -2c -2c
46:a-cb C\$_{2v}^{22}\$ Im2a I -2a -2a
47 D\$_{2h}^{1}\$ Pmmm -P 2 2
48:1 D\$_{2h}^{2}\$ Pnnn:1 P 2 2 -1n
48:2 D\$_{2h}^{2}\$ Pnnn:2 -P 2ab 2bc
49 D\$_{2h}^{3}\$ Pccm -P 2 2c
49:cab D\$_{2h}^{3}\$ Pmaa -P 2a 2
49:bca D\$_{2h}^{3}\$ Pbmb -P 2b 2b
50:1 D\$_{2h}^{4}\$ Pban:1 P 2 2 -1ab
50:2 D\$_{2h}^{4}\$ Pban:2 -P 2ab 2b
50:1cab D\$_{2h}^{4}\$ Pncb:1 P 2 2 -1bc
50:2cab D\$_{2h}^{4}\$ Pncb:2 -P 2b 2bc
50:1bca D\$_{2h}^{4}\$ Pcna:1 P 2 2 -1ac
50:2bca D\$_{2h}^{4}\$ Pcna:2 -P 2a 2c
51 D\$_{2h}^{5}\$ Pmma -P 2a 2a
51:ba-c D\$_{2h}^{5}\$ Pmmb -P 2b 2
51:cab D\$_{2h}^{5}\$ Pbmm -P 2 2b
51:-cba D\$_{2h}^{5}\$ Pcmm -P 2c 2c
51:bca D\$_{2h}^{5}\$ Pmcm -P 2c 2
51:a-cb D\$_{2h}^{5}\$ Pmam -P 2 2a
52 D\$_{2h}^{6}\$ Pnna -P 2a 2bc
52:ba-c D\$_{2h}^{6}\$ Pnnb -P 2b 2n
52:cab D\$_{2h}^{6}\$ Pbnn -P 2n 2b
52:-cba D\$_{2h}^{6}\$ Pcnn -P 2ab 2c
52:bca D\$_{2h}^{6}\$ Pncn -P 2ab 2n
52:a-cb D\$_{2h}^{6}\$ Pnan -P 2n 2bc
53 D\$_{2h}^{7}\$ Pmna -P 2ac 2
53:ba-c D\$_{2h}^{7}\$ Pnmb -P 2bc 2bc
53:cab D\$_{2h}^{7}\$ Pbmn -P 2ab 2ab
53:-cba D\$_{2h}^{7}\$ Pcnm -P 2 2ac
53:bca D\$_{2h}^{7}\$ Pncm -P 2 2bc
53:a-cb D\$_{2h}^{7}\$ Pman -P 2ab 2
54 D\$_{2h}^{8}\$ Pcca -P 2a 2ac
54:ba-c D\$_{2h}^{8}\$ Pccb -P 2b 2c
54:cab D\$_{2h}^{8}\$ Pbaa -P 2a 2b
54:-cba D\$_{2h}^{8}\$ Pcaa -P 2ac 2c
54:bca D\$_{2h}^{8}\$ Pbcb -P 2bc 2b
54:a-cb D\$_{2h}^{8}\$ Pbab -P 2b 2ab
55 D\$_{2h}^{9}\$ Pbam -P 2 2ab
55:cab D\$_{2h}^{9}\$ Pmcb -P 2bc 2
55:bca D\$_{2h}^{9}\$ Pcma -P 2ac 2ac
56 D\$_{2h}^{10}\$ Pccn -P 2ab 2ac
56:cab D\$_{2h}^{10}\$ Pnaa -P 2ac 2bc
56:bca D\$_{2h}^{10}\$ Pbnb -P 2bc 2ab
57 D\$_{2h}^{11}\$ Pbcm -P 2c 2b
57:ba-c D\$_{2h}^{11}\$ Pcam -P 2c 2ac
57:cab D\$_{2h}^{11}\$ Pmca -P 2ac 2a
57:-cba D\$_{2h}^{11}\$ Pmab -P 2b 2a
57:bca D\$_{2h}^{11}\$ Pbma -P 2a 2ab
57:a-cb D\$_{2h}^{11}\$ Pcmb -P 2bc 2c
58 D\$_{2h}^{12}\$ Pnnm -P 2 2n
58:cab D\$_{2h}^{12}\$ Pmnn -P 2n 2
58:bca D\$_{2h}^{12}\$ Pnmn -P 2n 2n
59:1 D\$_{2h}^{13}\$ Pmmn:1 P 2 2ab -1ab
59:2 D\$_{2h}^{13}\$ Pmmn:2 -P 2ab 2a
59:1cab D\$_{2h}^{13}\$ Pnmm:1 P 2bc 2 -1bc
59:2cab D\$_{2h}^{13}\$ Pnmm:2 -P 2c 2bc
59:1bca D\$_{2h}^{13}\$ Pmnm:1 P 2ac 2ac -1ac
59:2bca D\$_{2h}^{13}\$ Pmnm:2 -P 2c 2a
60 D\$_{2h}^{14}\$ Pbcn -P 2n 2ab
60:ba-c D\$_{2h}^{14}\$ Pcan -P 2n 2c
60:cab D\$_{2h}^{14}\$ Pnca -P 2a 2n
60:-cba D\$_{2h}^{14}\$ Pnab -P 2bc 2n
60:bca D\$_{2h}^{14}\$ Pbna -P 2ac 2b
60:a-cb D\$_{2h}^{14}\$ Pcnb -P 2b 2ac
61 D\$_{2h}^{15}\$ Pbca -P 2ac 2ab
61:ba-c D\$_{2h}^{15}\$ Pcab -P 2bc 2ac
62 D\$_{2h}^{16}\$ Pnma -P 2ac 2n
62:ba-c D\$_{2h}^{16}\$ Pmnb -P 2bc 2a
62:cab D\$_{2h}^{16}\$ Pbnm -P 2c 2ab
62:-cba D\$_{2h}^{16}\$ Pcmn -P 2n 2ac
62:bca D\$_{2h}^{16}\$ Pmcn -P 2n 2a
62:a-cb D\$_{2h}^{16}\$ Pnam -P 2c 2n
63 D\$_{2h}^{17}\$ Cmcm -C 2c 2
63:ba-c D\$_{2h}^{17}\$ Ccmm -C 2c 2c
63:cab D\$_{2h}^{17}\$ Amma -A 2a 2a
63:-cba D\$_{2h}^{17}\$ Amam -A 2 2a
63:bca D\$_{2h}^{17}\$ Bbmm -B 2 2b
63:a-cb D\$_{2h}^{17}\$ Bmmb -B 2b 2
64 D\$_{2h}^{18}\$ Cmca -C 2bc 2
64:ba-c D\$_{2h}^{18}\$ Ccmb -C 2bc 2bc
64:cab D\$_{2h}^{18}\$ Abma -A 2ac 2ac
64:-cba D\$_{2h}^{18}\$ Acam -A 2 2ac
64:bca D\$_{2h}^{18}\$ Bbcm -B 2 2bc
64:a-cb D\$_{2h}^{18}\$ Bmab -B 2bc 2
65 D\$_{2h}^{19}\$ Cmmm -C 2 2
65:cab D\$_{2h}^{19}\$ Ammm -A 2 2
65:bca D\$_{2h}^{19}\$ Bmmm -B 2 2
66 D\$_{2h}^{20}\$ Cccm -C 2 2c
66:cab D\$_{2h}^{20}\$ Amaa -A 2a 2
66:bca D\$_{2h}^{20}\$ Bbmb -B 2b 2b
67 D\$_{2h}^{21}\$ Cmma -C 2b 2
67:ba-c D\$_{2h}^{21}\$ Cmmb -C 2b 2b
67:cab D\$_{2h}^{21}\$ Abmm -A 2c 2c
67:-cba D\$_{2h}^{21}\$ Acmm -A 2 2c
67:bca D\$_{2h}^{21}\$ Bmcm -B 2 2c
67:a-cb D\$_{2h}^{21}\$ Bmam -B 2c 2
68:1 D\$_{2h}^{22}\$ Ccca:1 C 2 2 -1bc
68:2 D\$_{2h}^{22}\$ Ccca:2 -C 2b 2bc
68:1ba-c D\$_{2h}^{22}\$ Cccb:1 C 2 2 -1bc
68:2ba-c D\$_{2h}^{22}\$ Cccb:2 -C 2b 2c
68:1cab D\$_{2h}^{22}\$ Abaa:1 A 2 2 -1ac
68:2cab D\$_{2h}^{22}\$ Abaa:2 -A 2a 2c
68:1-cba D\$_{2h}^{22}\$ Acaa:1 A 2 2 -1ac
68:2-cba D\$_{2h}^{22}\$ Acaa:2 -A 2ac 2c
68:1bca D\$_{2h}^{22}\$ Bbcb:1 B 2 2 -1bc
68:2bca D\$_{2h}^{22}\$ Bbcb:2 -B 2bc 2b
68:1a-cb D\$_{2h}^{22}\$ Bbab:1 B 2 2 -1bc
68:2a-cb D\$_{2h}^{22}\$ Bbab:2 -B 2b 2bc
69 D\$_{2h}^{23}\$ Fmmm -F 2 2
70:1 D\$_{2h}^{24}\$ Fddd:1 F 2 2 -1d
70:2 D\$_{2h}^{24}\$ Fddd:2 -F 2uv 2vw
71 D\$_{2h}^{25}\$ Immm -I 2 2
72 D\$_{2h}^{26}\$ Ibam -I 2 2c
72:cab D\$_{2h}^{26}\$ Imcb -I 2a 2
72:bca D\$_{2h}^{26}\$ Icma -I 2b 2b
73 D\$_{2h}^{27}\$ Ibca -I 2b 2c
73:ba-c D\$_{2h}^{27}\$ Icab -I 2a 2b
74 D\$_{2h}^{28}\$ Imma -I 2b 2
74:ba-c D\$_{2h}^{28}\$ Immb -I 2a 2a
74:cab D\$_{2h}^{28}\$ Ibmm -I 2c 2c
74:-cba D\$_{2h}^{28}\$ Icmm -I 2 2b
74:bca D\$_{2h}^{28}\$ Imcm -I 2 2a
74:a-cb D\$_{2h}^{28}\$ Imam -I 2c 2
75 C\$_{4}^{1}\$ P4 P 4
76 C\$_{4}^{2}\$ P41 P 4w
77 C\$_{4}^{3}\$ P42 P 4c
78 C\$_{4}^{4}\$ P43 P 4cw
79 C\$_{4}^{5}\$ I4 I 4
80 C\$_{4}^{6}\$ I41 I 4bw
81 S\$_{4}^{1}\$ P-4 P -4
82 S\$_{4}^{2}\$ I-4 I -4
83 C\$_{4h}^{1}\$ P4/m -P 4
84 C\$_{4h}^{2}\$ P42/m -P 4c
85:1 C\$_{4h}^{3}\$ P4/n:1 P 4ab -1ab
85:2 C\$_{4h}^{3}\$ P4/n:2 -P 4a
86:1 C\$_{4h}^{4}\$ P42/n:1 P 4n -1n
86:2 C\$_{4h}^{4}\$ P42/n:2 -P 4bc
87 C\$_{4h}^{5}\$ I4/m -I 4
88:1 C\$_{4h}^{6}\$ I41/a:1 I 4bw -1bw
89 D\$_{4}^{1}\$ P422 P 4 2
90 D\$_{4}^{2}\$ P4212 P 4ab 2ab
91 D\$_{4}^{3}\$ P4122 P 4w 2c
92 D\$_{4}^{4}\$ P41212 P 4abw 2nw
93 D\$_{4}^{5}\$ P4222 P 4c 2
94 D\$_{4}^{6}\$ P42212 P 4n 2n
95 D\$_{4}^{7}\$ P4322 P 4cw 2c
96 D\$_{4}^{8}\$ P43212 P 4nw 2abw
97 D\$_{4}^{9}\$ I422 I 4 2
98 D\$_{4}^{10}\$ I4122 I 4bw 2bw
99 C\$_{4v}^{1}\$ P4mm P 4 -2
100 C\$_{4v}^{2}\$ P4bm P 4 -2ab
101 C\$_{4v}^{3}\$ P42cm P 4c -2c
102 C\$_{4v}^{4}\$ P42nm P 4n -2n
103 C\$_{4v}^{5}\$ P4cc P 4 -2c
104 C\$_{4v}^{6}\$ P4nc P 4 -2n
105 C\$_{4v}^{7}\$ P42mc P 4c -2
106 C\$_{4v}^{8}\$ P42bc P 4c -2ab
107 C\$_{4v}^{9}\$ I4mm I 4 -2
108 C\$_{4v}^{10}\$ I4cm I 4 -2c
109 C\$_{4v}^{11}\$ I41md I 4bw -2
110 C\$_{4v}^{12}\$ I41cd I 4bw -2c
111 D\$_{2d}^{1}\$ P-42m P -4 2
112 D\$_{2d}^{2}\$ P-42c P -4 2c
113 D\$_{2d}^{3}\$ P-421m P -4 2ab
114 D\$_{2d}^{4}\$ P-421c P -4 2n
115 D\$_{2d}^{5}\$ P-4m2 P -4 -2
116 D\$_{2d}^{6}\$ P-4c2 P -4 -2c
117 D\$_{2d}^{7}\$ P-4b2 P -4 -2ab
118 D\$_{2d}^{8}\$ P-4n2 P -4 -2n
119 D\$_{2d}^{9}\$ I-4m2 I -4 -2
120 D\$_{2d}^{10}\$ I-4c2 I -4 -2c
121 D\$_{2d}^{11}\$ I-42m I -4 2
122 D\$_{2d}^{12}\$ I-42d I -4 2bw
123 D\$_{4h}^{1}\$ P4/mmm -P 4 2
124 D\$_{4h}^{2}\$ P4/mcc -P 4 2c
125:1 D\$_{4h}^{3}\$ P4/nbm:1 P 4 2 -1ab
125:2 D\$_{4h}^{3}\$ P4/nbm:2 -P 4a 2b
126:1 D\$_{4h}^{4}\$ P4/nnc:1 P 4 2 -1n
126:2 D\$_{4h}^{4}\$ P4/nnc:2 -P 4a 2bc
127 D\$_{4h}^{5}\$ P4/mbm -P 4 2ab
128 D\$_{4h}^{6}\$ P4/mnc -P 4 2n
129:1 D\$_{4h}^{7}\$ P4/nmm:1 P 4ab 2ab -1ab
129:2 D\$_{4h}^{7}\$ P4/nmm:2 -P 4a 2a
130:1 D\$_{4h}^{8}\$ P4/ncc:1 P 4ab 2n -1ab
130:2 D\$_{4h}^{8}\$ P4/ncc:2 -P 4a 2ac
131 D\$_{4h}^{9}\$ P42/mmc -P 4c 2
132 D\$_{4h}^{10}\$ P42/mcm -P 4c 2c
133:1 D\$_{4h}^{11}\$ P42/nbc:1 P 4n 2c -1n
133:2 D\$_{4h}^{11}\$ P42/nbc:2 -P 4ac 2b
134:1 D\$_{4h}^{12}\$ P42/nnm:1 P 4n 2 -1n
134:2 D\$_{4h}^{12}\$ P42/nnm:2 -P 4ac 2bc
135 D\$_{4h}^{13}\$ P42/mbc -P 4c 2ab
136 D\$_{4h}^{14}\$ P42/mnm -P 4n 2n
137:1 D\$_{4h}^{15}\$ P42/nmc:1 P 4n 2n -1n
137:2 D\$_{4h}^{15}\$ P42/nmc:2 -P 4ac 2a
138:1 D\$_{4h}^{16}\$ P42/ncm:1 P 4n 2ab -1n
138:2 D\$_{4h}^{16}\$ P42/ncm:2 -P 4ac 2ac
139 D\$_{4h}^{17}\$ I4/mmm -I 4 2
140 D\$_{4h}^{18}\$ I4/mcm -I 4 2c
141:1 D\$_{4h}^{19}\$ I41/amd:1 I 4bw 2bw -1bw
141:2 D\$_{4h}^{19}\$ I41/amd:2 -I 4bd 2
142:1 D\$_{4h}^{20}\$ I41/acd:1 I 4bw 2aw -1bw
142:2 D\$_{4h}^{20}\$ I41/acd:2 -I 4bd 2c
143 C\$_{3}^{1}\$ P3 P 3
144 C\$_{3}^{2}\$ P31 P 31
145 C\$_{3}^{3}\$ P32 P 32
146:H C\$_{3}^{4}\$ R3:H R 3
146:R C\$_{3}^{4}\$ R3:R P 3*
147 C\$_{3i}^{1}\$ P-3 -P 3
148:H C\$_{3i}^{2}\$ R-3:H -R 3
148:R C\$_{3i}^{2}\$ R-3:R -P 3*
149 D\$_{3}^{1}\$ P312 P 3 2
150 D\$_{3}^{2}\$ P321 P 3 2\$''\$
151 D\$_{3}^{3}\$ P3112 P 31 2c (0 0 1)
152 D\$_{3}^{4}\$ P3121 P 31 2\$''\$
153 D\$_{3}^{5}\$ P3212 P 32 2c (0 0 -1)
154 D\$_{3}^{6}\$ P3221 P 32 2\$''\$
155:H D\$_{3}^{7}\$ R32:H R 3 2\$''\$
155:R D\$_{3}^{7}\$ R32:R P 3* 2
156 C\$_{3v}^{1}\$ P3m1 P 3 -2\$''\$
157 C\$_{3v}^{2}\$ P31m P 3 -2
158 C\$_{3v}^{3}\$ P3c1 P 3 -2\$''\$c
159 C\$_{3v}^{4}\$ P31c P 3 -2c
160:H C\$_{3v}^{5}\$ R3m:H R 3 -2\$''\$
160:R C\$_{3v}^{5}\$ R3m:R P 3* -2
161:H C\$_{3v}^{6}\$ R3c:H R 3 -2\$''\$c
161:R C\$_{3v}^{6}\$ R3c:R P 3* -2n
162 D\$_{3d}^{1}\$ P-31m -P 3 2
163 D\$_{3d}^{2}\$ P-31c -P 3 2c
164 D\$_{3d}^{3}\$ P-3m1 -P 3 2\$''\$
165 D\$_{3d}^{4}\$ P-3c1 -P 3 2\$''\$c
166:H D\$_{3d}^{5}\$ R-3m:H -R 3 2\$''\$
166:R D\$_{3d}^{5}\$ R-3m:R -P 3* 2
167:H D\$_{3d}^{6}\$ R-3c:H -R 3 2\$''\$c
167:R D\$_{3d}^{6}\$ R-3c:R -P 3* 2n
168 C\$_{6}^{1}\$ P6 P 6
169 C\$_{6}^{2}\$ P61 P 61
170 C\$_{6}^{3}\$ P65 P 65
171 C\$_{6}^{4}\$ P62 P 62
172 C\$_{6}^{5}\$ P64 P 64
173 C\$_{6}^{6}\$ P63 P 6c
174 C\$_{3h}^{1}\$ P-6 P -6
175 C\$_{6h}^{1}\$ P6/m -P 6
176 C\$_{6h}^{2}\$ P63/m -P 6c
177 D\$_{6}^{1}\$ P622 P 6 2
178 D\$_{6}^{2}\$ P6122 P 61 2 (0 0 -1)
179 D\$_{6}^{3}\$ P6522 P 65 2 (0 0 1)
180 D\$_{6}^{4}\$ P6222 P 62 2c (0 0 1)
181 D\$_{6}^{5}\$ P6422 P 64 2c (0 0 -1)
182 D\$_{6}^{6}\$ P6322 P 6c 2c
183 C\$_{6v}^{1}\$ P6mm P 6 -2
184 C\$_{6v}^{2}\$ P6cc P 6 -2c
185 C\$_{6v}^{3}\$ P63cm P 6c -2
186 C\$_{6v}^{4}\$ P63mc P 6c -2c
187 D\$_{3h}^{1}\$ P-6m2 P -6 2
188 D\$_{3h}^{2}\$ P-6c2 P -6c 2
189 D\$_{3h}^{3}\$ P-62m P -6 -2
190 D\$_{3h}^{4}\$ P-62c P -6c -2c
191 D\$_{6h}^{1}\$ P6/mmm -P 6 2
192 D\$_{6h}^{2}\$ P6/mcc -P 6 2c
193 D\$_{6h}^{3}\$ P63/mcm -P 6c 2
194 D\$_{6h}^{4}\$ P63/mmc -P 6c 2c
195 T\$_{}^{1}\$ P23 P 2 2 3
196 T\$_{}^{2}\$ F23 F 2 2 3
197 T\$_{}^{3}\$ I23 I 2 2 3
198 T\$_{}^{4}\$ P213 P 2ac 2ab 3
199 T\$_{}^{5}\$ I213 I 2b 2c 3
200 T\$_{h}^{1}\$ Pm-3 -P 2 2 3
201:1 T\$_{h}^{2}\$ Pn-3:1 P 2 2 3 -1n
201:2 T\$_{h}^{2}\$ Pn-3:2 -P 2ab 2bc 3
202 T\$_{h}^{3}\$ Fm-3 -F 2 2 3
203:1 T\$_{h}^{4}\$ Fd-3:1 F 2 2 3 -1d
203:2 T\$_{h}^{4}\$ Fd-3:2 -F 2uv 2vw 3
204 T\$_{h}^{5}\$ Im-3 -I 2 2 3
205 T\$_{h}^{6}\$ Pa-3 -P 2ac 2ab 3
206 T\$_{h}^{7}\$ Ia-3 -I 2b 2c 3
207 O\$^{1}\$ P432 P 4 2 3
208 O\$^{2}\$ P4232 P 4n 2 3
209 O\$^{3}\$ F432 F 4 2 3
210 O\$^{4}\$ F4132 F 4d 2 3
211 O\$^{5}\$ I432 I 4 2 3
212 O\$^{6}\$ P4332 P 4acd 2ab 3
213 O\$^{7}\$ P4132 P 4bd 2ab 3
214 O\$^{8}\$ I4132 I 4bd 2c 3
215 T\$_{d}^{1}\$ P-43m P -4 2 3
216 T\$_{d}^{2}\$ F-43m F -4 2 3
217 T\$_{d}^{3}\$ I-43m I -4 2 3
218 T\$_{d}^{4}\$ P-43n P -4n 2 3
219 T\$_{d}^{5}\$ F-43c F -4c 2 3
220 T\$_{d}^{6}\$ I-43d I -4bd 2c 3
221 O\$_{h}^{1}\$ Pm-3m -P 4 2 3
222:1 O\$_{h}^{2}\$ Pn-3n:1 P 4 2 3 -1n
222:2 O\$_{h}^{2}\$ Pn-3n:2 -P 4a 2bc 3
223 O\$_{h}^{3}\$ Pm-3n -P 4n 2 3
224:1 O\$_{h}^{4}\$ Pn-3m:1 P 4n 2 3 -1n
224:2 O\$_{h}^{4}\$ Pn-3m:2 -P 4bc 2bc 3
225 O\$_{h}^{5}\$ Fm-3m -F 4 2 3
226 O\$_{h}^{6}\$ Fm-3c -F 4c 2 3
227:1 O\$_{h}^{7}\$ Fd-3m:1 F 4d 2 3 -1d
227:2 O\$_{h}^{7}\$ Fd-3m:2 -F 4vw 2vw 3
228:1 O\$_{h}^{8}\$ Fd-3c:1 F 4d 2 3 -1cd
228:2 O\$_{h}^{8}\$ Fd-3c:2 -F 4cvw 2vw 3
229 O\$_{h}^{9}\$ Im-3m -I 4 2 3
230 O\$_{h}^{10}\$ Ia-3d -I 4bd 2c 3