SGINFO.DAT - Lookup Table
1.61 - SGINFO.DAT Lookup Table for Herman-Mauguin to Hall symbols
Number Schoenflies ------Hermann-Mauguin-------- Hall Mult
1 C1^1 P1 P 1 P 1 1
2 Ci^1 P-1 P -1 -P 1 2
3:b C2^1 P2:b = P121 P 2 P 2y 2
3:c C2^1 P2:c = P112 P 1 1 2 P 2 2
3:a C2^1 P2:a = P211 P 2 1 1 P 2x 2
4:b C2^2 P21:b = P1211 P 21 P 2yb 2
4:c C2^2 P21:c = P1121 P 1 1 21 P 2c 2
4:a C2^2 P21:a = P2111 P 21 1 1 P 2xa 2
5:b1 C2^3 C2:b1 = C121 C 2 C 2y 4
5:b2 C2^3 A2:b2 = A121 A 2 A 2y 4
5:b3 C2^3 I2:b3 = I121 I 2 I 2y 4
5:c1 C2^3 A2:c1 = A112 A 1 1 2 A 2 4
5:c2 C2^3 B2:c2 = B112 B 1 1 2 B 2 4
5:c3 C2^3 I2:c3 = I112 I 1 1 2 I 2 4
5:a1 C2^3 B2:a1 = B211 B 2 1 1 B 2x 4
5:a2 C2^3 C2:a2 = C211 C 2 1 1 C 2x 4
5:a3 C2^3 I2:a3 = I211 I 2 1 1 I 2x 4
6:b Cs^1 Pm:b = P1m1 P m P -2y 2
6:c Cs^1 Pm:c = P11m P 1 1 m P -2 2
6:a Cs^1 Pm:a = Pm11 P m 1 1 P -2x 2
7:b1 Cs^2 Pc:b1 = P1c1 P c P -2yc 2
7:b2 Cs^2 Pn:b2 = P1n1 P n P -2yac 2
7:b3 Cs^2 Pa:b3 = P1a1 P a P -2ya 2
7:c1 Cs^2 Pa:c1 = P11a P 1 1 a P -2a 2
7:c2 Cs^2 Pn:c2 = P11n P 1 1 n P -2ab 2
7:c3 Cs^2 Pb:c3 = P11b P 1 1 b P -2b 2
7:a1 Cs^2 Pb:a1 = Pb11 P b 1 1 P -2xb 2
7:a2 Cs^2 Pn:a2 = Pn11 P n 1 1 P -2xbc 2
7:a3 Cs^2 Pc:a3 = Pc11 P c 1 1 P -2xc 2
8:b1 Cs^3 Cm:b1 = C1m1 C m C -2y 4
8:b2 Cs^3 Am:b2 = A1m1 A m A -2y 4
8:b3 Cs^3 Im:b3 = I1m1 I m I -2y 4
8:c1 Cs^3 Am:c1 = A11m A 1 1 m A -2 4
8:c2 Cs^3 Bm:c2 = B11m B 1 1 m B -2 4
8:c3 Cs^3 Im:c3 = I11m I 1 1 m I -2 4
8:a1 Cs^3 Bm:a1 = Bm11 B m 1 1 B -2x 4
8:a2 Cs^3 Cm:a2 = Cm11 C m 1 1 C -2x 4
8:a3 Cs^3 Im:a3 = Im11 I m 1 1 I -2x 4
9:b1 Cs^4 Cc:b1 = C1c1 C c C -2yc 4
9:b2 Cs^4 An:b2 = A1n1 A n A -2yac 4
9:b3 Cs^4 Ia:b3 = I1a1 I a I -2ya 4
9:-b1 Cs^4 Aa:-b1 = A1a1 A a A -2ya 4
9:-b2 Cs^4 Cn:-b2 = C1n1 C n C -2ybc 4
9:-b3 Cs^4 Ic:-b3 = I1c1 I c I -2yc 4
9:c1 Cs^4 Aa:c1 = A11a A 1 1 a A -2a 4
9:c2 Cs^4 Bn:c2 = B11n B 1 1 n B -2bc 4
9:c3 Cs^4 Ib:c3 = I11b I 1 1 b I -2b 4
9:-c1 Cs^4 Bb:-c1 = B11b B 1 1 b B -2b 4
9:-c2 Cs^4 An:-c2 = A11n A 1 1 n A -2ac 4
9:-c3 Cs^4 Ia:-c3 = I11a I 1 1 a I -2a 4
9:a1 Cs^4 Bb:a1 = Bb11 B b 1 1 B -2xb 4
9:a2 Cs^4 Cn:a2 = Cn11 C n 1 1 C -2xbc 4
9:a3 Cs^4 Ic:a3 = Ic11 I c 1 1 I -2xc 4
9:-a1 Cs^4 Cc:-a1 = Cc11 C c 1 1 C -2xc 4
9:-a2 Cs^4 Bn:-a2 = Bn11 B n 1 1 B -2xbc 4
9:-a3 Cs^4 Ib:-a3 = Ib11 I b 1 1 I -2xb 4
10:b C2h^1 P2/m:b = P12/m1 P 2/m -P 2y 4
10:c C2h^1 P2/m:c = P112/m P 1 1 2/m -P 2 4
10:a C2h^1 P2/m:a = P2/m11 P 2/m 1 1 -P 2x 4
11:b C2h^2 P21/m:b = P121/m1 P 21/m -P 2yb 4
11:c C2h^2 P21/m:c = P1121/m P 1 1 21/m -P 2c 4
11:a C2h^2 P21/m:a = P21/m11 P 21/m 1 1 -P 2xa 4
12:b1 C2h^3 C2/m:b1 = C12/m1 C 2/m -C 2y 8
12:b2 C2h^3 A2/m:b2 = A12/m1 A 2/m -A 2y 8
12:b3 C2h^3 I2/m:b3 = I12/m1 I 2/m -I 2y 8
12:c1 C2h^3 A2/m:c1 = A112/m A 1 1 2/m -A 2 8
12:c2 C2h^3 B2/m:c2 = B112/m B 1 1 2/m -B 2 8
12:c3 C2h^3 I2/m:c3 = I112/m I 1 1 2/m -I 2 8
12:a1 C2h^3 B2/m:a1 = B2/m11 B 2/m 1 1 -B 2x 8
12:a2 C2h^3 C2/m:a2 = C2/m11 C 2/m 1 1 -C 2x 8
12:a3 C2h^3 I2/m:a3 = I2/m11 I 2/m 1 1 -I 2x 8
13:b1 C2h^4 P2/c:b1 = P12/c1 P 2/c -P 2yc 4
13:b2 C2h^4 P2/n:b2 = P12/n1 P 2/n -P 2yac 4
13:b3 C2h^4 P2/a:b3 = P12/a1 P 2/a -P 2ya 4
13:c1 C2h^4 P2/a:c1 = P112/a P 1 1 2/a -P 2a 4
13:c2 C2h^4 P2/n:c2 = P112/n P 1 1 2/n -P 2ab 4
13:c3 C2h^4 P2/b:c3 = P112/b P 1 1 2/b -P 2b 4
13:a1 C2h^4 P2/b:a1 = P2/b11 P 2/b 1 1 -P 2xb 4
13:a2 C2h^4 P2/n:a2 = P2/n11 P 2/n 1 1 -P 2xbc 4
13:a3 C2h^4 P2/c:a3 = P2/c11 P 2/c 1 1 -P 2xc 4
14:b1 C2h^5 P21/c:b1 = P121/c1 P 21/c -P 2ybc 4
14:b2 C2h^5 P21/n:b2 = P121/n1 P 21/n -P 2yn 4
14:b3 C2h^5 P21/a:b3 = P121/a1 P 21/a -P 2yab 4
14:c1 C2h^5 P21/a:c1 = P1121/a P 1 1 21/a -P 2ac 4
14:c2 C2h^5 P21/n:c2 = P1121/n P 1 1 21/n -P 2n 4
14:c3 C2h^5 P21/b:c3 = P1121/b P 1 1 21/b -P 2bc 4
14:a1 C2h^5 P21/b:a1 = P21/b11 P 21/b 1 1 -P 2xab 4
14:a2 C2h^5 P21/n:a2 = P21/n11 P 21/n 1 1 -P 2xn 4
14:a3 C2h^5 P21/c:a3 = P21/c11 P 21/c 1 1 -P 2xac 4
15:b1 C2h^6 C2/c:b1 = C12/c1 C 2/c -C 2yc 8
15:b2 C2h^6 A2/n:b2 = A12/n1 A 2/n -A 2yac 8
15:b3 C2h^6 I2/a:b3 = I12/a1 I 2/a -I 2ya 8
15:-b1 C2h^6 A2/a:-b1 = A12/a1 A 2/a -A 2ya 8
15:-b2 C2h^6 C2/n:-b2 = C12/n1 C 2/n -C 2ybc 8
15:-b3 C2h^6 I2/c:-b3 = I12/c1 I 2/c -I 2yc 8
15:c1 C2h^6 A2/a:c1 = A112/a A 1 1 2/a -A 2a 8
15:c2 C2h^6 B2/n:c2 = B112/n B 1 1 2/n -B 2bc 8
15:c3 C2h^6 I2/b:c3 = I112/b I 1 1 2/b -I 2b 8
15:-c1 C2h^6 B2/b:-c1 = B112/b B 1 1 2/b -B 2b 8
15:-c2 C2h^6 A2/n:-c2 = A112/n A 1 1 2/n -A 2ac 8
15:-c3 C2h^6 I2/a:-c3 = I112/a I 1 1 2/a -I 2a 8
15:a1 C2h^6 B2/b:a1 = B2/b11 B 2/b 1 1 -B 2xb 8
15:a2 C2h^6 C2/n:a2 = C2/n11 C 2/n 1 1 -C 2xbc 8
15:a3 C2h^6 I2/c:a3 = I2/c11 I 2/c 1 1 -I 2xc 8
15:-a1 C2h^6 C2/c:-a1 = C2/c11 C 2/c 1 1 -C 2xc 8
15:-a2 C2h^6 B2/n:-a2 = B2/n11 B 2/n 1 1 -B 2xbc 8
15:-a3 C2h^6 I2/b:-a3 = I2/b11 I 2/b 1 1 -I 2xb 8
16 D2^1 P222 P 2 2 2 P 2 2 4
17 D2^2 P2221 P 2 2 21 P 2c 2 4
17:cab D2^2 P2122 P 21 2 2 P 2a 2a 4
17:bca D2^2 P2212 P 2 21 2 P 2 2b 4
18 D2^3 P21212 P 21 21 2 P 2 2ab 4
18:cab D2^3 P22121 P 2 21 21 P 2bc 2 4
18:bca D2^3 P21221 P 21 2 21 P 2ac 2ac 4
19 D2^4 P212121 P 21 21 21 P 2ac 2ab 4
20 D2^5 C2221 C 2 2 21 C 2c 2 8
20:cab D2^5 A2122 A 21 2 2 A 2a 2a 8
20:bca D2^5 B2212 B 2 21 2 B 2 2b 8
21 D2^6 C222 C 2 2 2 C 2 2 8
21:cab D2^6 A222 A 2 2 2 A 2 2 8
21:bca D2^6 B222 B 2 2 2 B 2 2 8
22 D2^7 F222 F 2 2 2 F 2 2 16
23 D2^8 I222 I 2 2 2 I 2 2 8
24 D2^9 I212121 I 21 21 21 I 2b 2c 8
25 C2v^1 Pmm2 P m m 2 P 2 -2 4
25:cab C2v^1 P2mm P 2 m m P -2 2 4
25:bca C2v^1 Pm2m P m 2 m P -2 -2 4
26 C2v^2 Pmc21 P m c 21 P 2c -2 4
26:ba-c C2v^2 Pcm21 P c m 21 P 2c -2c 4
26:cab C2v^2 P21ma P 21 m a P -2a 2a 4
26:-cba C2v^2 P21am P 21 a m P -2 2a 4
26:bca C2v^2 Pb21m P b 21 m P -2 -2b 4
26:a-cb C2v^2 Pm21b P m 21 b P -2b -2 4
27 C2v^3 Pcc2 P c c 2 P 2 -2c 4
27:cab C2v^3 P2aa P 2 a a P -2a 2 4
27:bca C2v^3 Pb2b P b 2 b P -2b -2b 4
28 C2v^4 Pma2 P m a 2 P 2 -2a 4
28:ba-c C2v^4 Pbm2 P b m 2 P 2 -2b 4
28:cab C2v^4 P2mb P 2 m b P -2b 2 4
28:-cba C2v^4 P2cm P 2 c m P -2c 2 4
28:bca C2v^4 Pc2m P c 2 m P -2c -2c 4
28:a-cb C2v^4 Pm2a P m 2 a P -2a -2a 4
29 C2v^5 Pca21 P c a 21 P 2c -2ac 4
29:ba-c C2v^5 Pbc21 P b c 21 P 2c -2b 4
29:cab C2v^5 P21ab P 21 a b P -2b 2a 4
29:-cba C2v^5 P21ca P 21 c a P -2ac 2a 4
29:bca C2v^5 Pc21b P c 21 b P -2bc -2c 4
29:a-cb C2v^5 Pb21a P b 21 a P -2a -2ab 4
30 C2v^6 Pnc2 P n c 2 P 2 -2bc 4
30:ba-c C2v^6 Pcn2 P c n 2 P 2 -2ac 4
30:cab C2v^6 P2na P 2 n a P -2ac 2 4
30:-cba C2v^6 P2an P 2 a n P -2ab 2 4
30:bca C2v^6 Pb2n P b 2 n P -2ab -2ab 4
30:a-cb C2v^6 Pn2b P n 2 b P -2bc -2bc 4
31 C2v^7 Pmn21 P m n 21 P 2ac -2 4
31:ba-c C2v^7 Pnm21 P n m 21 P 2bc -2bc 4
31:cab C2v^7 P21mn P 21 m n P -2ab 2ab 4
31:-cba C2v^7 P21nm P 21 n m P -2 2ac 4
31:bca C2v^7 Pn21m P n 21 m P -2 -2bc 4
31:a-cb C2v^7 Pm21n P m 21 n P -2ab -2 4
32 C2v^8 Pba2 P b a 2 P 2 -2ab 4
32:cab C2v^8 P2cb P 2 c b P -2bc 2 4
32:bca C2v^8 Pc2a P c 2 a P -2ac -2ac 4
33 C2v^9 Pna21 P n a 21 P 2c -2n 4
33:ba-c C2v^9 Pbn21 P b n 21 P 2c -2ab 4
33:cab C2v^9 P21nb P 21 n b P -2bc 2a 4
33:-cba C2v^9 P21cn P 21 c n P -2n 2a 4
33:bca C2v^9 Pc21n P c 21 n P -2n -2ac 4
33:a-cb C2v^9 Pn21a P n 21 a P -2ac -2n 4
34 C2v^10 Pnn2 P n n 2 P 2 -2n 4
34:cab C2v^10 P2nn P 2 n n P -2n 2 4
34:bca C2v^10 Pn2n P n 2 n P -2n -2n 4
35 C2v^11 Cmm2 C m m 2 C 2 -2 8
35:cab C2v^11 A2mm A 2 m m A -2 2 8
35:bca C2v^11 Bm2m B m 2 m B -2 -2 8
36 C2v^12 Cmc21 C m c 21 C 2c -2 8
36:ba-c C2v^12 Ccm21 C c m 21 C 2c -2c 8
36:cab C2v^12 A21ma A 21 m a A -2a 2a 8
36:-cba C2v^12 A21am A 21 a m A -2 2a 8
36:bca C2v^12 Bb21m B b 21 m B -2 -2b 8
36:a-cb C2v^12 Bm21b B m 21 b B -2b -2 8
37 C2v^13 Ccc2 C c c 2 C 2 -2c 8
37:cab C2v^13 A2aa A 2 a a A -2a 2 8
37:bca C2v^13 Bb2b B b 2 b B -2b -2b 8
38 C2v^14 Amm2 A m m 2 A 2 -2 8
38:ba-c C2v^14 Bmm2 B m m 2 B 2 -2 8
38:cab C2v^14 B2mm B 2 m m B -2 2 8
38:-cba C2v^14 C2mm C 2 m m C -2 2 8
38:bca C2v^14 Cm2m C m 2 m C -2 -2 8
38:a-cb C2v^14 Am2m A m 2 m A -2 -2 8
39 C2v^15 Abm2 A b m 2 A 2 -2c 8
39:ba-c C2v^15 Bma2 B m a 2 B 2 -2c 8
39:cab C2v^15 B2cm B 2 c m B -2c 2 8
39:-cba C2v^15 C2mb C 2 m b C -2b 2 8
39:bca C2v^15 Cm2a C m 2 a C -2b -2b 8
39:a-cb C2v^15 Ac2m A c 2 m A -2c -2c 8
40 C2v^16 Ama2 A m a 2 A 2 -2a 8
40:ba-c C2v^16 Bbm2 B b m 2 B 2 -2b 8
40:cab C2v^16 B2mb B 2 m b B -2b 2 8
40:-cba C2v^16 C2cm C 2 c m C -2c 2 8
40:bca C2v^16 Cc2m C c 2 m C -2c -2c 8
40:a-cb C2v^16 Am2a A m 2 a A -2a -2a 8
41 C2v^17 Aba2 A b a 2 A 2 -2ac 8
41:ba-c C2v^17 Bba2 B b a 2 B 2 -2bc 8
41:cab C2v^17 B2cb B 2 c b B -2bc 2 8
41:-cba C2v^17 C2cb C 2 c b C -2bc 2 8
41:bca C2v^17 Cc2a C c 2 a C -2bc -2bc 8
41:a-cb C2v^17 Ac2a A c 2 a A -2ac -2ac 8
42 C2v^18 Fmm2 F m m 2 F 2 -2 16
42:cab C2v^18 F2mm F 2 m m F -2 2 16
42:bca C2v^18 Fm2m F m 2 m F -2 -2 16
43 C2v^19 Fdd2 F d d 2 F 2 -2d 16
43:cab C2v^19 F2dd F 2 d d F -2d 2 16
43:bca C2v^19 Fd2d F d 2 d F -2d -2d 16
44 C2v^20 Imm2 I m m 2 I 2 -2 8
44:cab C2v^20 I2mm I 2 m m I -2 2 8
44:bca C2v^20 Im2m I m 2 m I -2 -2 8
45 C2v^21 Iba2 I b a 2 I 2 -2c 8
45:cab C2v^21 I2cb I 2 c b I -2a 2 8
45:bca C2v^21 Ic2a I c 2 a I -2b -2b 8
46 C2v^22 Ima2 I m a 2 I 2 -2a 8
46:ba-c C2v^22 Ibm2 I b m 2 I 2 -2b 8
46:cab C2v^22 I2mb I 2 m b I -2b 2 8
46:-cba C2v^22 I2cm I 2 c m I -2c 2 8
46:bca C2v^22 Ic2m I c 2 m I -2c -2c 8
46:a-cb C2v^22 Im2a I m 2 a I -2a -2a 8
47 D2h^1 Pmmm P m m m -P 2 2 8
48:1 D2h^2 Pnnn:1 P n n n P 2 2 -1n 8
48:2 D2h^2 Pnnn:2 P n n n -P 2ab 2bc 8
49 D2h^3 Pccm P c c m -P 2 2c 8
49:cab D2h^3 Pmaa P m a a -P 2a 2 8
49:bca D2h^3 Pbmb P b m b -P 2b 2b 8
50:1 D2h^4 Pban:1 P b a n P 2 2 -1ab 8
50:2 D2h^4 Pban:2 P b a n -P 2ab 2b 8
50:1cab D2h^4 Pncb:1 P n c b P 2 2 -1bc 8
50:2cab D2h^4 Pncb:2 P n c b -P 2b 2bc 8
50:1bca D2h^4 Pcna:1 P c n a P 2 2 -1ac 8
50:2bca D2h^4 Pcna:2 P c n a -P 2a 2c 8
51 D2h^5 Pmma P m m a -P 2a 2a 8
51:ba-c D2h^5 Pmmb P m m b -P 2b 2 8
51:cab D2h^5 Pbmm P b m m -P 2 2b 8
51:-cba D2h^5 Pcmm P c m m -P 2c 2c 8
51:bca D2h^5 Pmcm P m c m -P 2c 2 8
51:a-cb D2h^5 Pmam P m a m -P 2 2a 8
52 D2h^6 Pnna P n n a -P 2a 2bc 8
52:ba-c D2h^6 Pnnb P n n b -P 2b 2n 8
52:cab D2h^6 Pbnn P b n n -P 2n 2b 8
52:-cba D2h^6 Pcnn P c n n -P 2ab 2c 8
52:bca D2h^6 Pncn P n c n -P 2ab 2n 8
52:a-cb D2h^6 Pnan P n a n -P 2n 2bc 8
53 D2h^7 Pmna P m n a -P 2ac 2 8
53:ba-c D2h^7 Pnmb P n m b -P 2bc 2bc 8
53:cab D2h^7 Pbmn P b m n -P 2ab 2ab 8
53:-cba D2h^7 Pcnm P c n m -P 2 2ac 8
53:bca D2h^7 Pncm P n c m -P 2 2bc 8
53:a-cb D2h^7 Pman P m a n -P 2ab 2 8
54 D2h^8 Pcca P c c a -P 2a 2ac 8
54:ba-c D2h^8 Pccb P c c b -P 2b 2c 8
54:cab D2h^8 Pbaa P b a a -P 2a 2b 8
54:-cba D2h^8 Pcaa P c a a -P 2ac 2c 8
54:bca D2h^8 Pbcb P b c b -P 2bc 2b 8
54:a-cb D2h^8 Pbab P b a b -P 2b 2ab 8
55 D2h^9 Pbam P b a m -P 2 2ab 8
55:cab D2h^9 Pmcb P m c b -P 2bc 2 8
55:bca D2h^9 Pcma P c m a -P 2ac 2ac 8
56 D2h^10 Pccn P c c n -P 2ab 2ac 8
56:cab D2h^10 Pnaa P n a a -P 2ac 2bc 8
56:bca D2h^10 Pbnb P b n b -P 2bc 2ab 8
57 D2h^11 Pbcm P b c m -P 2c 2b 8
57:ba-c D2h^11 Pcam P c a m -P 2c 2ac 8
57:cab D2h^11 Pmca P m c a -P 2ac 2a 8
57:-cba D2h^11 Pmab P m a b -P 2b 2a 8
57:bca D2h^11 Pbma P b m a -P 2a 2ab 8
57:a-cb D2h^11 Pcmb P c m b -P 2bc 2c 8
58 D2h^12 Pnnm P n n m -P 2 2n 8
58:cab D2h^12 Pmnn P m n n -P 2n 2 8
58:bca D2h^12 Pnmn P n m n -P 2n 2n 8
59:1 D2h^13 Pmmn:1 P m m n P 2 2ab -1ab 8
59:2 D2h^13 Pmmn:2 P m m n -P 2ab 2a 8
59:1cab D2h^13 Pnmm:1 P n m m P 2bc 2 -1bc 8
59:2cab D2h^13 Pnmm:2 P n m m -P 2c 2bc 8
59:1bca D2h^13 Pmnm:1 P m n m P 2ac 2ac -1ac 8
59:2bca D2h^13 Pmnm:2 P m n m -P 2c 2a 8
60 D2h^14 Pbcn P b c n -P 2n 2ab 8
60:ba-c D2h^14 Pcan P c a n -P 2n 2c 8
60:cab D2h^14 Pnca P n c a -P 2a 2n 8
60:-cba D2h^14 Pnab P n a b -P 2bc 2n 8
60:bca D2h^14 Pbna P b n a -P 2ac 2b 8
60:a-cb D2h^14 Pcnb P c n b -P 2b 2ac 8
61 D2h^15 Pbca P b c a -P 2ac 2ab 8
61:ba-c D2h^15 Pcab P c a b -P 2bc 2ac 8
62 D2h^16 Pnma P n m a -P 2ac 2n 8
62:ba-c D2h^16 Pmnb P m n b -P 2bc 2a 8
62:cab D2h^16 Pbnm P b n m -P 2c 2ab 8
62:-cba D2h^16 Pcmn P c m n -P 2n 2ac 8
62:bca D2h^16 Pmcn P m c n -P 2n 2a 8
62:a-cb D2h^16 Pnam P n a m -P 2c 2n 8
63 D2h^17 Cmcm C m c m -C 2c 2 16
63:ba-c D2h^17 Ccmm C c m m -C 2c 2c 16
63:cab D2h^17 Amma A m m a -A 2a 2a 16
63:-cba D2h^17 Amam A m a m -A 2 2a 16
63:bca D2h^17 Bbmm B b m m -B 2 2b 16
63:a-cb D2h^17 Bmmb B m m b -B 2b 2 16
64 D2h^18 Cmca C m c a -C 2bc 2 16
64:ba-c D2h^18 Ccmb C c m b -C 2bc 2bc 16
64:cab D2h^18 Abma A b m a -A 2ac 2ac 16
64:-cba D2h^18 Acam A c a m -A 2 2ac 16
64:bca D2h^18 Bbcm B b c m -B 2 2bc 16
64:a-cb D2h^18 Bmab B m a b -B 2bc 2 16
65 D2h^19 Cmmm C m m m -C 2 2 16
65:cab D2h^19 Ammm A m m m -A 2 2 16
65:bca D2h^19 Bmmm B m m m -B 2 2 16
66 D2h^20 Cccm C c c m -C 2 2c 16
66:cab D2h^20 Amaa A m a a -A 2a 2 16
66:bca D2h^20 Bbmb B b m b -B 2b 2b 16
67 D2h^21 Cmma C m m a -C 2b 2 16
67:ba-c D2h^21 Cmmb C m m b -C 2b 2b 16
67:cab D2h^21 Abmm A b m m -A 2c 2c 16
67:-cba D2h^21 Acmm A c m m -A 2 2c 16
67:bca D2h^21 Bmcm B m c m -B 2 2c 16
67:a-cb D2h^21 Bmam B m a m -B 2c 2 16
68:1 D2h^22 Ccca:1 C c c a C 2 2 -1bc 16
68:2 D2h^22 Ccca:2 C c c a -C 2b 2bc 16
68:1ba-c D2h^22 Cccb:1 C c c b C 2 2 -1bc 16
68:2ba-c D2h^22 Cccb:2 C c c b -C 2b 2c 16
68:1cab D2h^22 Abaa:1 A b a a A 2 2 -1ac 16
68:2cab D2h^22 Abaa:2 A b a a -A 2a 2c 16
68:1-cba D2h^22 Acaa:1 A c a a A 2 2 -1ac 16
68:2-cba D2h^22 Acaa:2 A c a a -A 2ac 2c 16
68:1bca D2h^22 Bbcb:1 B b c b B 2 2 -1bc 16
68:2bca D2h^22 Bbcb:2 B b c b -B 2bc 2b 16
68:1a-cb D2h^22 Bbab:1 B b a b B 2 2 -1bc 16
68:2a-cb D2h^22 Bbab:2 B b a b -B 2b 2bc 16
69 D2h^23 Fmmm F m m m -F 2 2 32
70:1 D2h^24 Fddd:1 F d d d F 2 2 -1d 32
70:2 D2h^24 Fddd:2 F d d d -F 2uv 2vw 32
71 D2h^25 Immm I m m m -I 2 2 16
72 D2h^26 Ibam I b a m -I 2 2c 16
72:cab D2h^26 Imcb I m c b -I 2a 2 16
72:bca D2h^26 Icma I c m a -I 2b 2b 16
73 D2h^27 Ibca I b c a -I 2b 2c 16
73:ba-c D2h^27 Icab I c a b -I 2a 2b 16
74 D2h^28 Imma I m m a -I 2b 2 16
74:ba-c D2h^28 Immb I m m b -I 2a 2a 16
74:cab D2h^28 Ibmm I b m m -I 2c 2c 16
74:-cba D2h^28 Icmm I c m m -I 2 2b 16
74:bca D2h^28 Imcm I m c m -I 2 2a 16
74:a-cb D2h^28 Imam I m a m -I 2c 2 16
75 C4^1 P4 P 4 P 4 4
76 C4^2 P41 P 41 P 4w 4
77 C4^3 P42 P 42 P 4c 4
78 C4^4 P43 P 43 P 4cw 4
79 C4^5 I4 I 4 I 4 8
80 C4^6 I41 I 41 I 4bw 8
81 S4^1 P-4 P -4 P -4 4
82 S4^2 I-4 I -4 I -4 8
83 C4h^1 P4/m P 4/m -P 4 8
84 C4h^2 P42/m P 42/m -P 4c 8
85:1 C4h^3 P4/n:1 P 4/n P 4ab -1ab 8
85:2 C4h^3 P4/n:2 P 4/n -P 4a 8
86:1 C4h^4 P42/n:1 P 42/n P 4n -1n 8
86:2 C4h^4 P42/n:2 P 42/n -P 4bc 8
87 C4h^5 I4/m I 4/m -I 4 16
88:1 C4h^6 I41/a:1 I 41/a I 4bw -1bw 16
88:2 C4h^6 I41/a:2 I 41/a -I 4ad 16
89 D4^1 P422 P 4 2 2 P 4 2 8
90 D4^2 P4212 P 4 21 2 P 4ab 2ab 8
91 D4^3 P4122 P 41 2 2 P 4w 2c 8
92 D4^4 P41212 P 41 21 2 P 4abw 2nw 8
93 D4^5 P4222 P 42 2 2 P 4c 2 8
94 D4^6 P42212 P 42 21 2 P 4n 2n 8
95 D4^7 P4322 P 43 2 2 P 4cw 2c 8
96 D4^8 P43212 P 43 21 2 P 4nw 2abw 8
97 D4^9 I422 I 4 2 2 I 4 2 16
98 D4^10 I4122 I 41 2 2 I 4bw 2bw 16
99 C4v^1 P4mm P 4 m m P 4 -2 8
100 C4v^2 P4bm P 4 b m P 4 -2ab 8
101 C4v^3 P42cm P 42 c m P 4c -2c 8
102 C4v^4 P42nm P 42 n m P 4n -2n 8
103 C4v^5 P4cc P 4 c c P 4 -2c 8
104 C4v^6 P4nc P 4 n c P 4 -2n 8
105 C4v^7 P42mc P 42 m c P 4c -2 8
106 C4v^8 P42bc P 42 b c P 4c -2ab 8
107 C4v^9 I4mm I 4 m m I 4 -2 16
108 C4v^10 I4cm I 4 c m I 4 -2c 16
109 C4v^11 I41md I 41 m d I 4bw -2 16
110 C4v^12 I41cd I 41 c d I 4bw -2c 16
111 D2d^1 P-42m P -4 2 m P -4 2 8
112 D2d^2 P-42c P -4 2 c P -4 2c 8
113 D2d^3 P-421m P -4 21 m P -4 2ab 8
114 D2d^4 P-421c P -4 21 c P -4 2n 8
115 D2d^5 P-4m2 P -4 m 2 P -4 -2 8
116 D2d^6 P-4c2 P -4 c 2 P -4 -2c 8
117 D2d^7 P-4b2 P -4 b 2 P -4 -2ab 8
118 D2d^8 P-4n2 P -4 n 2 P -4 -2n 8
119 D2d^9 I-4m2 I -4 m 2 I -4 -2 16
120 D2d^10 I-4c2 I -4 c 2 I -4 -2c 16
121 D2d^11 I-42m I -4 2 m I -4 2 16
122 D2d^12 I-42d I -4 2 d I -4 2bw 16
123 D4h^1 P4/mmm P 4/m m m -P 4 2 16
124 D4h^2 P4/mcc P 4/m c c -P 4 2c 16
125:1 D4h^3 P4/nbm:1 P 4/n b m P 4 2 -1ab 16
125:2 D4h^3 P4/nbm:2 P 4/n b m -P 4a 2b 16
126:1 D4h^4 P4/nnc:1 P 4/n n c P 4 2 -1n 16
126:2 D4h^4 P4/nnc:2 P 4/n n c -P 4a 2bc 16
127 D4h^5 P4/mbm P 4/m b m -P 4 2ab 16
128 D4h^6 P4/mnc P 4/m n c -P 4 2n 16
129:1 D4h^7 P4/nmm:1 P 4/n m m P 4ab 2ab -1ab 16
129:2 D4h^7 P4/nmm:2 P 4/n m m -P 4a 2a 16
130:1 D4h^8 P4/ncc:1 P 4/n c c P 4ab 2n -1ab 16
130:2 D4h^8 P4/ncc:2 P 4/n c c -P 4a 2ac 16
131 D4h^9 P42/mmc P 42/m m c -P 4c 2 16
132 D4h^10 P42/mcm P 42/m c m -P 4c 2c 16
133:1 D4h^11 P42/nbc:1 P 42/n b c P 4n 2c -1n 16
133:2 D4h^11 P42/nbc:2 P 42/n b c -P 4ac 2b 16
134:1 D4h^12 P42/nnm:1 P 42/n n m P 4n 2 -1n 16
134:2 D4h^12 P42/nnm:2 P 42/n n m -P 4ac 2bc 16
135 D4h^13 P42/mbc P 42/m b c -P 4c 2ab 16
136 D4h^14 P42/mnm P 42/m n m -P 4n 2n 16
137:1 D4h^15 P42/nmc:1 P 42/n m c P 4n 2n -1n 16
137:2 D4h^15 P42/nmc:2 P 42/n m c -P 4ac 2a 16
138:1 D4h^16 P42/ncm:1 P 42/n c m P 4n 2ab -1n 16
138:2 D4h^16 P42/ncm:2 P 42/n c m -P 4ac 2ac 16
139 D4h^17 I4/mmm I 4/m m m -I 4 2 32
140 D4h^18 I4/mcm I 4/m c m -I 4 2c 32
141:1 D4h^19 I41/amd:1 I 41/a m d I 4bw 2bw -1bw 32
141:2 D4h^19 I41/amd:2 I 41/a m d -I 4bd 2 32
142:1 D4h^20 I41/acd:1 I 41/a c d I 4bw 2aw -1bw 32
142:2 D4h^20 I41/acd:2 I 41/a c d -I 4bd 2c 32
143 C3^1 P3 P 3 P 3 3
144 C3^2 P31 P 31 P 31 3
145 C3^3 P32 P 32 P 32 3
146:h C3^4 R3:h R 3 R 3 9
146:r C3^4 R3:r R 3 P 3* 3
147 C3i^1 P-3 P -3 -P 3 6
148:h C3i^2 R-3:h R -3 -R 3 18
148:r C3i^2 R-3:r R -3 -P 3* 6
149 D3^1 P312 P 3 1 2 P 3 2 6
150 D3^2 P321 P 3 2 1 P 3 2" 6
151 D3^3 P3112 P 31 1 2 P 31 2c (0 0 1) 6
152 D3^4 P3121 P 31 2 1 P 31 2" 6
153 D3^5 P3212 P 32 1 2 P 32 2c (0 0 -1)6
154 D3^6 P3221 P 32 2 1 P 32 2" 6
155:h D3^7 R32:h R 3 2 R 3 2" 18
155:r D3^7 R32:r R 3 2 P 3* 2 6
156 C3v^1 P3m1 P 3 m 1 P 3 -2" 6
157 C3v^2 P31m P 3 1 m P 3 -2 6
158 C3v^3 P3c1 P 3 c 1 P 3 -2"c 6
159 C3v^4 P31c P 3 1 c P 3 -2c 6
160:h C3v^5 R3m:h R 3 m R 3 -2" 18
160:r C3v^5 R3m:r R 3 m P 3* -2 6
161:h C3v^6 R3c:h R 3 c R 3 -2"c 18
161:r C3v^6 R3c:r R 3 c P 3* -2n 6
162 D3d^1 P-31m P -3 1 m -P 3 2 12
163 D3d^2 P-31c P -3 1 c -P 3 2c 12
164 D3d^3 P-3m1 P -3 m 1 -P 3 2" 12
165 D3d^4 P-3c1 P -3 c 1 -P 3 2"c 12
166:h D3d^5 R-3m:h R -3 m -R 3 2" 36
166:r D3d^5 R-3m:r R -3 m -P 3* 2 12
167:h D3d^6 R-3c:h R -3 c -R 3 2"c 36
167:r D3d^6 R-3c:r R -3 c -P 3* 2n 12
168 C6^1 P6 P 6 P 6 6
169 C6^2 P61 P 61 P 61 6
170 C6^3 P65 P 65 P 65 6
171 C6^4 P62 P 62 P 62 6
172 C6^5 P64 P 64 P 64 6
173 C6^6 P63 P 63 P 6c 6
174 C3h^1 P-6 P -6 P -6 6
175 C6h^1 P6/m P 6/m -P 6 12
176 C6h^2 P63/m P 63/m -P 6c 12
177 D6^1 P622 P 6 2 2 P 6 2 12
178 D6^2 P6122 P 61 2 2 P 61 2 (0 0 -1) 12
179 D6^3 P6522 P 65 2 2 P 65 2 (0 0 1) 12
180 D6^4 P6222 P 62 2 2 P 62 2c (0 0 1) 12
181 D6^5 P6422 P 64 2 2 P 64 2c (0 0 -1)12
182 D6^6 P6322 P 63 2 2 P 6c 2c 12
183 C6v^1 P6mm P 6 m m P 6 -2 12
184 C6v^2 P6cc P 6 c c P 6 -2c 12
185 C6v^3 P63cm P 63 c m P 6c -2 12
186 C6v^4 P63mc P 63 m c P 6c -2c 12
187 D3h^1 P-6m2 P -6 m 2 P -6 2 12
188 D3h^2 P-6c2 P -6 c 2 P -6c 2 12
189 D3h^3 P-62m P -6 2 m P -6 -2 12
190 D3h^4 P-62c P -6 2 c P -6c -2c 12
191 D6h^1 P6/mmm P 6/m m m -P 6 2 24
192 D6h^2 P6/mcc P 6/m c c -P 6 2c 24
193 D6h^3 P63/mcm P 63/m c m -P 6c 2 24
194 D6h^4 P63/mmc P 63/m m c -P 6c 2c 24
195 T^1 P23 P 2 3 P 2 2 3 12
196 T^2 F23 F 2 3 F 2 2 3 48
197 T^3 I23 I 2 3 I 2 2 3 24
198 T^4 P213 P 21 3 P 2ac 2ab 3 12
199 T^5 I213 I 21 3 I 2b 2c 3 24
200 Th^1 Pm-3 P m -3 -P 2 2 3 24
201:1 Th^2 Pn-3:1 P n -3 P 2 2 3 -1n 24
201:2 Th^2 Pn-3:2 P n -3 -P 2ab 2bc 3 24
202 Th^3 Fm-3 F m -3 -F 2 2 3 96
203:1 Th^4 Fd-3:1 F d -3 F 2 2 3 -1d 96
203:2 Th^4 Fd-3:2 F d -3 -F 2uv 2vw 3 96
204 Th^5 Im-3 I m -3 -I 2 2 3 48
205 Th^6 Pa-3 P a -3 -P 2ac 2ab 3 24
206 Th^7 Ia-3 I a -3 -I 2b 2c 3 48
207 O^1 P432 P 4 3 2 P 4 2 3 24
208 O^2 P4232 P 42 3 2 P 4n 2 3 24
209 O^3 F432 F 4 3 2 F 4 2 3 96
210 O^4 F4132 F 41 3 2 F 4d 2 3 96
211 O^5 I432 I 4 3 2 I 4 2 3 48
212 O^6 P4332 P 43 3 2 P 4acd 2ab 3 24
213 O^7 P4132 P 41 3 2 P 4bd 2ab 3 24
214 O^8 I4132 I 41 3 2 I 4bd 2c 3 48
215 Td^1 P-43m P -4 3 m P -4 2 3 24
216 Td^2 F-43m F -4 3 m F -4 2 3 96
217 Td^3 I-43m I -4 3 m I -4 2 3 48
218 Td^4 P-43n P -4 3 n P -4n 2 3 24
219 Td^5 F-43c F -4 3 c F -4c 2 3 96
220 Td^6 I-43d I -4 3 d I -4bd 2c 3 48
221 Oh^1 Pm-3m P m -3 m -P 4 2 3 48
222:1 Oh^2 Pn-3n:1 P n -3 n P 4 2 3 -1n 48
222:2 Oh^2 Pn-3n:2 P n -3 n -P 4a 2bc 3 48
223 Oh^3 Pm-3n P m -3 n -P 4n 2 3 48
224:1 Oh^4 Pn-3m:1 P n -3 m P 4n 2 3 -1n 48
224:2 Oh^4 Pn-3m:2 P n -3 m -P 4bc 2bc 3 48
225 Oh^5 Fm-3m F m -3 m -F 4 2 3 192
226 Oh^6 Fm-3c F m -3 c -F 4c 2 3 192
227:1 Oh^7 Fd-3m:1 F d -3 m F 4d 2 3 -1d 192
227:2 Oh^7 Fd-3m:2 F d -3 m -F 4vw 2vw 3 192
228:1 Oh^8 Fd-3c:1 F d -3 c F 4d 2 3 -1cd 192
228:2 Oh^8 Fd-3c:2 F d -3 c -F 4cvw 2vw 3 192
229 Oh^9 Im-3m I m -3 m -I 4 2 3 96
230 Oh^10 Ia-3d I a -3 d -I 4bd 2c 3 96
This table is an edited version of a table copyrighted (C) 1994-96 by
Ralf W. Grosse-Kunstleve