Seto's Page

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Triclinic

Crystal System No: 1

Laue Class: \(\bar{1}\)

Laue Class No: 1

Serial No.	ITA No.	Sub No.	Axes, Origin	Hall symbol	Sch. symbol	HM symbol (short)	HM symbol (full)	PG No.	PG (HM)	PG (Sch.)
1	1	1		P 1	\(C_1^1\)	\(P\ 1\)	\(P\ 1\)	1	\(1\)	\(C_1\)
2	2	1		-P 1	\(C_i^1\)	\(P\ \bar{1}\)	\(P\ \bar{1}\)	2	\(\bar{1}\)	\(C_i\)

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Monoclinic

Crystal System No: 2

Laue Class: \(2/m\)

Laue Class No: 2

Serial No.	ITA No.	Sub No.	Axes, Origin	Hall symbol	Sch. symbol	HM symbol (short)	HM symbol (full)	PG No.	PG (HM)	PG (Sch.)
3	3	1	\(b\)	P 2y	\(C_2^1\)	\(P\ 2\ =\ P\ 1\ 2\ 1\)	\(P\ 1\ 2\ 1\)	3	\(2\)	\(C_2\)
4		2	\(c\)	P 2		\(P\ 2\ =\ P\ 1\ 1\ 2\)	\(P\ 1\ 1\ 2\)
5		3	\(a\)	P 2x		\(P\ 2\ =\ P\ 2\ 1\ 1\)	\(P\ 2\ 1\ 1\)
6	4	1	\(b\)	P 2yb	\(C_2^2\)	\(P\ 2_1\ =\ P\ 1\ 2_1\ 1\)	\(P\ 1\ 2_1\ 1\)
7		2	\(c\)	P 2c		\(P\ 2_1\ =\ P\ 1\ 1\ 2_1\)	\(P\ 1\ 1\ 2_1\)
8		3	\(a\)	P 2xa		\(P\ 2_1\ =\ P\ 2_1\ 1\ 1\)	\(P\ 2_1\ 1\ 1\)
9	5	1	\(b1\)	C 2y	\(C_2^3\)	\(C\ 2\ =\ C\ 1\ 2\ 1\)	\(C\ 1\ 2\ 1\)
10		2	\(b2\)	A 2y		\(C\ 2\ =\ A\ 1\ 2\ 1\)	\(A\ 1\ 2\ 1\)
11		3	\(b3\)	I 2y		\(C\ 2\ =\ I\ 1\ 2\ 1\)	\(I\ 1\ 2\ 1\)
12		4	\(c1\)	A 2		\(C\ 2\ =\ A\ 1\ 1\ 2\)	\(A\ 1\ 1\ 2\)
13		5	\(c2\)	B 2		\(C\ 2\ =\ B\ 1\ 1\ 2\ =\ B\ 2\)	\(B\ 1\ 1\ 2\)
14		6	\(c3\)	I 2		\(C\ 2\ =\ I\ 1\ 1\ 2\)	\(I\ 1\ 1\ 2\)
15		7	\(a1\)	B 2x		\(C\ 2\ =\ B\ 2\ 1\ 1\)	\(B\ 2\ 1\ 1\)
16		8	\(a2\)	C 2x		\(C\ 2\ =\ C\ 2\ 1\ 1\)	\(C\ 2\ 1\ 1\)
17		9	\(a3\)	I 2x		\(C\ 2\ =\ I\ 2\ 1\ 1\)	\(I\ 2\ 1\ 1\)
18	6	1	\(b\)	P -2y	\(C_s^1\)	\(P\ m\ =\ P\ 1\ m\ 1\)	\(P\ 1\ m\ 1\)	4	\(m\)	\(C_s\)
19		2	\(c\)	P -2		\(P\ m\ =\ P\ 1\ 1\ m\)	\(P\ 1\ 1\ m\)
20		3	\(a\)	P -2x		\(P\ m\ =\ P\ m\ 1\ 1\)	\(P\ m\ 1\ 1\)
21	7	1	\(b1\)	P -2yc	\(C_s^2\)	\(P\ c\ =\ P\ 1\ c\ 1\)	\(P\ 1\ c\ 1\)
22		2	\(b2\)	P -2yac		\(P\ c\ =\ P\ 1\ n\ 1\)	\(P\ 1\ n\ 1\)
23		3	\(b3\)	P -2ya		\(P\ c\ =\ P\ 1\ a\ 1\)	\(P\ 1\ a\ 1\)
24		4	\(c1\)	P -2a		\(P\ c\ =\ P\ 1\ 1\ a\)	\(P\ 1\ 1\ a\)
25		5	\(c2\)	P -2ab		\(P\ c\ =\ P\ 1\ 1\ n\)	\(P\ 1\ 1\ n\)
26		6	\(c3\)	P -2b		\(P\ c\ =\ P\ 1\ 1\ b\ =\ P\ b\)	\(P\ 1\ 1\ b\)
27		7	\(a1\)	P -2xb		\(P\ c\ =\ P\ b\ 1\ 1\)	\(P\ b\ 1\ 1\)
28		8	\(a2\)	P -2xbc		\(P\ c\ =\ P\ n\ 1\ 1\)	\(P\ n\ 1\ 1\)
29		9	\(a3\)	P -2xc		\(P\ c\ =\ P\ c\ 1\ 1\)	\(P\ c\ 1\ 1\)
30	8	1	\(b1\)	C -2y	\(C_s^3\)	\(C\ m\ =\ C\ 1\ m\ 1\)	\(C\ 1\ m\ 1\)
31		2	\(b2\)	A -2y		\(C\ m\ =\ A\ 1\ m\ 1\)	\(A\ 1\ m\ 1\)
32		3	\(b3\)	I -2y		\(C\ m\ =\ I\ 1\ m\ 1\)	\(I\ 1\ m\ 1\)
33		4	\(c1\)	A -2		\(C\ m\ =\ A\ 1\ 1\ m\)	\(A\ 1\ 1\ m\)
34		5	\(c2\)	B -2		\(C\ m\ =\ B\ 1\ 1\ m\ =\ B\ m\)	\(B\ 1\ 1\ m\)
35		6	\(c3\)	I -2		\(C\ m\ =\ I\ 1\ 1\ m\)	\(I\ 1\ 1\ m\)
36		7	\(a1\)	B -2x		\(C\ m\ =\ B\ m\ 1\ 1\)	\(B\ m\ 1\ 1\)
37		8	\(a2\)	C -2x		\(C\ m\ =\ C\ m\ 1\ 1\)	\(C\ m\ 1\ 1\)
38		9	\(a3\)	I -2x		\(C\ m\ =\ I\ m\ 1\ 1\)	\(I\ m\ 1\ 1\)
39	9	1	\(b1\)	C -2yc	\(C_s^4\)	\(C\ c\ =\ C\ 1\ c\ 1\)	\(C\ 1\ c\ 1\)
40		2	\(b2\)	A -2yac		\(C\ c\ =\ A\ 1\ n\ 1\)	\(A\ 1\ n\ 1\)
41		3	\(b3\)	I -2ya		\(C\ c\ =\ I\ 1\ a\ 1\)	\(I\ 1\ a\ 1\)
42		4	\(\bar{b}1\)	A -2ya		\(C\ c\ =\ A\ 1\ a\ 1\)	\(A\ 1\ a\ 1\)
43		5	\(\bar{b}2\)	C -2ybc		\(C\ c\ =\ C\ 1\ n\ 1\)	\(C\ 1\ n\ 1\)
44		6	\(\bar{b}3\)	I -2yc		\(C\ c\ =\ I\ 1\ c\ 1\)	\(I\ 1\ c\ 1\)
45		7	\(c1\)	A -2a		\(C\ c\ =\ A\ 1\ 1\ a\)	\(A\ 1\ 1\ a\)
46		8	\(c2\)	B -2bc		\(C\ c\ =\ B\ 1\ 1\ n\)	\(B\ 1\ 1\ n\)
47		9	\(c3\)	I -2b		\(C\ c\ =\ I\ 1\ 1\ b\)	\(I\ 1\ 1\ b\)
48		10	\(\bar{c}1\)	B -2b		\(C\ c\ =\ B\ 1\ 1\ b\ =\ B\ b\)	\(B\ 1\ 1\ b\)
49		11	\(\bar{c}2\)	A -2ac		\(C\ c\ =\ A\ 1\ 1\ n\)	\(A\ 1\ 1\ n\)
50		12	\(\bar{c}3\)	I -2a		\(C\ c\ =\ I\ 1\ 1\ a\)	\(I\ 1\ 1\ a\)
51		13	\(a1\)	B -2xb		\(C\ c\ =\ B\ b\ 1\ 1\)	\(B\ b\ 1\ 1\)
52		14	\(a2\)	C -2xbc		\(C\ c\ =\ C\ n\ 1\ 1\)	\(C\ n\ 1\ 1\)
53		15	\(a3\)	I -2xc		\(C\ c\ =\ I\ c\ 1\ 1\)	\(I\ c\ 1\ 1\)
54		16	\(\bar{a}1\)	C -2xc		\(C\ c\ =\ C\ c\ 1\ 1\)	\(C\ c\ 1\ 1\)
55		17	\(\bar{a}2\)	B -2xbc		\(C\ c\ =\ B\ n\ 1\ 1\)	\(B\ n\ 1\ 1\)
56		18	\(\bar{a}3\)	I -2xb		\(C\ c\ =\ I\ b\ 1\ 1\)	\(I\ b\ 1\ 1\)
57	10	1	\(b\)	-P 2y	\(C_{2h}^1\)	\(P\ 2/m\ =\ P\ 1\ 2/m\ 1\)	\(P\ 1\ 2/m\ 1\)	5	\(2/m\)	\(C_{2h}\)
58		2	\(c\)	-P 2		\(P\ 2/m\ =\ P\ 1\ 1\ 2/m\)	\(P\ 1\ 1\ 2/m\)
59		3	\(a\)	-P 2x		\(P\ 2/m\ =\ P\ 2/m\ 1\ 1\)	\(P\ 2/m\ 1\ 1\)
60	11	1	\(b\)	-P 2yb	\(C_{2h}^2\)	\(P\ 2_1/m\ =\ P\ 1\ 2_1/m\ 1\)	\(P\ 1\ 2_1/m\ 1\)
61		2	\(c\)	-P 2c		\(P\ 2_1/m\ =\ P\ 1\ 1\ 2_1/m\)	\(P\ 1\ 1\ 2_1/m\)
62		3	\(a\)	-P 2xa		\(P\ 2_1/m\ =\ P\ 2_1/m\ 1\ 1\)	\(P\ 2_1/m\ 1\ 1\)
63	12	1	\(b1\)	-C 2y	\(C_{2h}^3\)	\(C\ 2/m\ =\ C\ 1\ 2/m\ 1\)	\(C\ 1\ 2/m\ 1\)
64		2	\(b2\)	-A 2y		\(C\ 2/m\ =\ A\ 1\ 2/m\ 1\)	\(A\ 1\ 2/m\ 1\)
65		3	\(b3\)	-I 2y		\(C\ 2/m\ =\ I\ 1\ 2/m\ 1\)	\(I\ 1\ 2/m\ 1\)
66		4	\(c1\)	-A 2		\(C\ 2/m\ =\ A\ 1\ 1\ 2/m\)	\(A\ 1\ 1\ 2/m\)
67		5	\(c2\)	-B 2		\(C\ 2/m\ =\ B\ 1\ 1\ 2/m\ =\ B\ 2/m\)	\(B\ 1\ 1\ 2/m\)
68		6	\(c3\)	-I 2		\(C\ 2/m\ =\ I\ 1\ 1\ 2/m\)	\(I\ 1\ 1\ 2/m\)
69		7	\(a1\)	-B 2x		\(C\ 2/m\ =\ B\ 2/m\ 1\ 1\)	\(B\ 2/m\ 1\ 1\)
70		8	\(a2\)	-C 2x		\(C\ 2/m\ =\ C\ 2/m\ 1\ 1\)	\(C\ 2/m\ 1\ 1\)
71		9	\(a3\)	-I 2x		\(C\ 2/m\ =\ I\ 2/m\ 1\ 1\)	\(I\ 2/m\ 1\ 1\)
72	13	1	\(b1\)	-P 2yc	\(C_{2h}^4\)	\(P\ 2/c\ =\ P\ 1\ 2/c\ 1\)	\(P\ 1\ 2/c\ 1\)
73		2	\(b2\)	-P 2yac		\(P\ 2/c\ =\ P\ 1\ 2/n\ 1\)	\(P\ 1\ 2/n\ 1\)
74		3	\(b3\)	-P 2ya		\(P\ 2/c\ =\ P\ 1\ 2/a\ 1\)	\(P\ 1\ 2/a\ 1\)
75		4	\(c1\)	-P 2a		\(P\ 2/c\ =\ P\ 1\ 1\ 2/a\)	\(P\ 1\ 1\ 2/a\)
76		5	\(c2\)	-P 2ab		\(P\ 2/c\ =\ P\ 1\ 1\ 2/n\)	\(P\ 1\ 1\ 2/n\)
77		6	\(c3\)	-P 2b		\(P\ 2/c\ =\ P\ 1\ 1\ 2/b\ =\ P\ 2/b\)	\(P\ 1\ 1\ 2/b\)
78		7	\(a1\)	-P 2xb		\(P\ 2/c\ =\ P\ 2/b\ 1\ 1\)	\(P\ 2/b\ 1\ 1\)
79		8	\(a2\)	-P 2xbc		\(P\ 2/c\ =\ P\ 2/n\ 1\ 1\)	\(P\ 2/n\ 1\ 1\)
80		9	\(a3\)	-P 2xc		\(P\ 2/c\ =\ P\ 2/c\ 1\ 1\)	\(P\ 2/c\ 1\ 1\)
81	14	1	\(b1\)	-P 2ybc	\(C_{2h}^5\)	\(P\ 2_1/c\ =\ P\ 1\ 2_1/c\ 1\)	\(P\ 1\ 2_1/c\ 1\)
82		2	\(b2\)	-P 2yn		\(P\ 2_1/c\ =\ P\ 1\ 2_1/n\ 1\)	\(P\ 1\ 2_1/n\ 1\)
83		3	\(b3\)	-P 2yab		\(P\ 2_1/c\ =\ P\ 1\ 2_1/a\ 1\)	\(P\ 1\ 2_1/a\ 1\)
84		4	\(c1\)	-P 2ac		\(P\ 2_1/c\ =\ P\ 1\ 1\ 2_1/a\)	\(P\ 1\ 1\ 2_1/a\)
85		5	\(c2\)	-P 2n		\(P\ 2_1/c\ =\ P\ 1\ 1\ 2_1/n\)	\(P\ 1\ 1\ 2_1/n\)
86		6	\(c3\)	-P 2bc		\(P\ 2_1/c\ =\ P\ 1\ 1\ 2_1/b\ =\ P\ 2_1/b\)	\(P\ 1\ 1\ 2_1/b\)
87		7	\(a1\)	-P 2xab		\(P\ 2_1/c\ =\ P\ 2_1/b\ 1\ 1\)	\(P\ 2_1/b\ 1\ 1\)
88		8	\(a2\)	-P 2xn		\(P\ 2_1/c\ =\ P\ 2_1/n\ 1\ 1\)	\(P\ 2_1/n\ 1\ 1\)
89		9	\(a3\)	-P 2xac		\(P\ 2_1/c\ =\ P\ 2_1/c\ 1\ 1\)	\(P\ 2_1/c\ 1\ 1\)
90	15	1	\(b1\)	-C 2yc	\(C_{2h}^6\)	\(C\ 2/c\ =\ C\ 1\ 2/c\ 1\)	\(C\ 1\ 2/c\ 1\)
91		2	\(b2\)	-A 2yac		\(C\ 2/c\ =\ A\ 1\ 2/n\ 1\)	\(A\ 1\ 2/n\ 1\)
92		3	\(b3\)	-I 2ya		\(C\ 2/c\ =\ I\ 1\ 2/a\ 1\)	\(I\ 1\ 2/a\ 1\)
93		4	\(\bar{b}1\)	-A 2ya		\(C\ 2/c\ =\ A\ 1\ 2/a\ 1\)	\(A\ 1\ 2/a\ 1\)
94		5	\(\bar{b}2\)	-C 2ybc		\(C\ 2/c\ =\ C\ 1\ 2/n\ 1\)	\(C\ 1\ 2/n\ 1\)
95		6	\(\bar{b}3\)	-I 2yc		\(C\ 2/c\ =\ I\ 1\ 2/c\ 1\)	\(I\ 1\ 2/c\ 1\)
96		7	\(c1\)	-A 2a		\(C\ 2/c\ =\ A\ 1\ 1\ 2/a\)	\(A\ 1\ 1\ 2/a\)
97		8	\(c2\)	-B 2bc		\(C\ 2/c\ =\ B\ 1\ 1\ 2/n\)	\(B\ 1\ 1\ 2/n\)
98		9	\(c3\)	-I 2b		\(C\ 2/c\ =\ I\ 1\ 1\ 2/b\)	\(I\ 1\ 1\ 2/b\)
99		10	\(\bar{c}1\)	-B 2b		\(C\ 2/c\ =\ B\ 1\ 1\ 2/b\ =\ B\ 2/b\)	\(B\ 1\ 1\ 2/b\)
100		11	\(\bar{c}2\)	-A 2ac		\(C\ 2/c\ =\ A\ 1\ 1\ 2/n\)	\(A\ 1\ 1\ 2/n\)
101		12	\(\bar{c}3\)	-I 2a		\(C\ 2/c\ =\ I\ 1\ 1\ 2/a\)	\(I\ 1\ 1\ 2/a\)
102		13	\(a1\)	-B 2xb		\(C\ 2/c\ =\ B\ 2/b\ 1\ 1\)	\(B\ 2/b\ 1\ 1\)
103		14	\(a2\)	-C 2xbc		\(C\ 2/c\ =\ C\ 2/n\ 1\ 1\)	\(C\ 2/n\ 1\ 1\)
104		15	\(a3\)	-I 2xc		\(C\ 2/c\ =\ I\ 2/c\ 1\ 1\)	\(I\ 2/c\ 1\ 1\)
105		16	\(\bar{a}1\)	-C 2xc		\(C\ 2/c\ =\ C\ 2/c\ 1\ 1\)	\(C\ 2/c\ 1\ 1\)
106		17	\(\bar{a}2\)	-B 2xbc		\(C\ 2/c\ =\ B\ 2/n\ 1\ 1\)	\(B\ 2/n\ 1\ 1\)
107		18	\(\bar{a}3\)	-I 2xb		\(C\ 2/c\ =\ I\ 2/b\ 1\ 1\)	\(I\ 2/b\ 1\ 1\)

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Orthorhombic

Crystal System No: 3

Laue Class: \(2/m\)

Laue Class No: 2

Serial No.	ITA No.	Sub No.	Axes, Origin	Hall symbol	Sch symbol	HM symbol (short)	HM symbol (full)	PG No.	PG (HM)	PG (Sch.)
108	16	1		P 2 2	\(D_2^1\)	\(P\ 2\ 2\ 2\)	\(P\ 2\ 2\ 2\)	6	\(2\ 2\ 2\)	\(D_2\)
109	17	1		P 2c 2	\(D_2^2\)	\(P\ 2\ 2\ 2_1\)	\(P\ 2\ 2\ 2_1\)
110		2	\(cab\)	P 2a 2a		\(P\ 2_1\ 2\ 2\)	\(P\ 2_1\ 2\ 2\)
111		3	\(bca\)	P 2 2b		\(P\ 2\ 2_1\ 2\)	\(P\ 2\ 2_1\ 2\)
112	18	1		P 2 2ab	\(D_2^3\)	\(P\ 2_1\ 2_1\ 2\)	\(P\ 2_1\ 2_1\ 2\)
113		2	\(cab\)	P 2bc 2		\(P\ 2\ 2_1\ 2_1\)	\(P\ 2\ 2_1\ 2_1\)
114		3	\(bca\)	P 2ac 2ac		\(P\ 2_1\ 2\ 2_1\)	\(P\ 2_1\ 2\ 2_1\)
115	19	1		P 2ac 2ab	\(D_2^4\)	\(P\ 2_1\ 2_1\ 2_1\)	\(P\ 2_1\ 2_1\ 2_1\)
116	20	1		C 2c 2	\(D_2^5\)	\(C\ 2\ 2\ 2_1\)	\(C\ 2\ 2\ 2_1\)
117		2	\(cab\)	A 2a 2a		\(A\ 2_1\ 2\ 2\)	\(A\ 2_1\ 2\ 2\)
118		3	\(bca\)	B 2 2b		\(B\ 2\ 2_1\ 2\)	\(B\ 2\ 2_1\ 2\)
119	21	1		C 2 2	\(D_2^6\)	\(C\ 2\ 2\ 2\)	\(C\ 2\ 2\ 2\)
120		2	\(cab\)	A 2 2		\(A\ 2\ 2\ 2\)	\(A\ 2\ 2\ 2\)
121		3	\(bca\)	B 2 2		\(B\ 2\ 2\ 2\)	\(B\ 2\ 2\ 2\)
122	22	1		F 2 2	\(D_2^7\)	\(F\ 2\ 2\ 2\)	\(F\ 2\ 2\ 2\)
123	23	1		I 2 2	\(D_2^8\)	\(I\ 2\ 2\ 2\)	\(I\ 2\ 2\ 2\)
124	24	1		I 2b 2c	\(D_2^9\)	\(I\ 2_1\ 2_1\ 2_1\)	\(I\ 2_1\ 2_1\ 2_1\)
125	25	1		P 2 -2	\(C_{2v}^1\)	\(P\ m\ m\ 2\)	\(P\ m\ m\ 2\)	7	\(m\ m\ 2\)	\(C_{2v}\)
126		2	\(cab\)	P -2 2		\(P\ 2\ m\ m\)	\(P\ 2\ m\ m\)
127		3	\(bca\)	P -2 -2		\(P\ m\ 2\ m\)	\(P\ m\ 2\ m\)
128	26	1		P 2c -2	\(C_{2v}^2\)	\(P\ m\ c\ 2_1\)	\(P\ m\ c\ 2_1\)
129		2	\(ba\bar{c}\)	P 2c -2c		\(P\ c\ m\ 2_1\)	\(P\ c\ m\ 2_1\)
130		3	\(cab\)	P -2a 2a		\(P\ 2_1\ m\ a\)	\(P\ 2_1\ m\ a\)
131		4	\(\bar{c}ba\)	P -2 2a		\(P\ 2_1\ a\ m\)	\(P\ 2_1\ a\ m\)
132		5	\(bca\)	P -2 -2b		\(P\ b\ 2_1\ m\)	\(P\ b\ 2_1\ m\)
133		6	\(a\bar{c}b\)	P -2b -2		\(P\ m\ 2_1\ b\)	\(P\ m\ 2_1\ b\)
134	27	1		P 2 -2c	\(C_{2v}^3\)	\(P\ c\ c\ 2\)	\(P\ c\ c\ 2\)
135		2	\(cab\)	P -2a 2		\(P\ 2\ a\ a\)	\(P\ 2\ a\ a\)
136		3	\(bca\)	P -2b -2b		\(P\ b\ 2\ b\)	\(P\ b\ 2\ b\)
137	28	1		P 2 -2a	\(C_{2v}^4\)	\(P\ m\ a\ 2\)	\(P\ m\ a\ 2\)
138		2	\(ba\bar{c}\)	P 2 -2b		\(P\ b\ m\ 2\)	\(P\ b\ m\ 2\)
139		3	\(cab\)	P -2b 2		\(P\ 2\ m\ b\)	\(P\ 2\ m\ b\)
140		4	\(\bar{c}ba\)	P -2c 2		\(P\ 2\ c\ m\)	\(P\ 2\ c\ m\)
141		5	\(bca\)	P -2c -2c		\(P\ c\ 2\ m\)	\(P\ c\ 2\ m\)
142		6	\(a\bar{c}b\)	P -2a -2a		\(P\ m\ 2\ a\)	\(P\ m\ 2\ a\)
143	29	1		P 2c -2ac	\(C_{2v}^5\)	\(P\ c\ a\ 2_1\)	\(P\ c\ a\ 2_1\)
144		2	\(ba\bar{c}\)	P 2c -2b		\(P\ b\ c\ 2_1\)	\(P\ b\ c\ 2_1\)
145		3	\(cab\)	P -2b 2a		\(P\ 2_1\ a\ b\)	\(P\ 2_1\ a\ b\)
146		4	\(\bar{c}ba\)	P -2ac 2a		\(P\ 2_1\ c\ a\)	\(P\ 2_1\ c\ a\)
147		5	\(bca\)	P -2bc -2c		\(P\ c\ 2_1\ b\)	\(P\ c\ 2_1\ b\)
148		6	\(a\bar{c}b\)	P -2a -2ab		\(P\ b\ 2_1\ a\)	\(P\ b\ 2_1\ a\)
149	30	1		P 2 -2bc	\(C_{2v}^6\)	\(P\ n\ c\ 2\)	\(P\ n\ c\ 2\)
150		2	\(ba\bar{c}\)	P 2 -2ac		\(P\ c\ n\ 2\)	\(P\ c\ n\ 2\)
151		3	\(cab\)	P -2ac 2		\(P\ 2\ n\ a\)	\(P\ 2\ n\ a\)
152		4	\(\bar{c}ba\)	P -2ab 2		\(P\ 2\ a\ n\)	\(P\ 2\ a\ n\)
153		5	\(bca\)	P -2ab -2ab		\(P\ b\ 2\ n\)	\(P\ b\ 2\ n\)
154		6	\(a\bar{c}b\)	P -2bc -2bc		\(P\ n\ 2\ b\)	\(P\ n\ 2\ b\)
155	31	1		P 2ac -2	\(C_{2v}^7\)	\(P\ m\ n\ 2_1\)	\(P\ m\ n\ 2_1\)
156		2	\(ba\bar{c}\)	P 2bc -2bc		\(P\ n\ m\ 2_1\)	\(P\ n\ m\ 2_1\)
157		3	\(cab\)	P -2ab 2ab		\(P\ 2_1\ m\ n\)	\(P\ 2_1\ m\ n\)
158		4	\(\bar{c}ba\)	P -2 2ac		\(P\ 2_1\ n\ m\)	\(P\ 2_1\ n\ m\)
159		5	\(bca\)	P -2 -2bc		\(P\ n\ 2_1\ m\)	\(P\ n\ 2_1\ m\)
160		6	\(a\bar{c}b\)	P -2ab -2		\(P\ m\ 2_1\ n\)	\(P\ m\ 2_1\ n\)
161	32	1		P 2 -2ab	\(C_{2v}^8\)	\(P\ b\ a\ 2\)	\(P\ b\ a\ 2\)
162		2	\(cab\)	P -2bc 2		\(P\ 2\ c\ b\)	\(P\ 2\ c\ b\)
163		3	\(bca\)	P -2ac -2ac		\(P\ c\ 2\ a\)	\(P\ c\ 2\ a\)
164	33	1		P 2c -2n	\(C_{2v}^9\)	\(P\ n\ a\ 2_1\)	\(P\ n\ a\ 2_1\)
165		2	\(ba\bar{c}\)	P 2c -2ab		\(P\ b\ n\ 2_1\)	\(P\ b\ n\ 2_1\)
166		3	\(cab\)	P -2bc 2a		\(P\ 2_1\ n\ b\)	\(P\ 2_1\ n\ b\)
167		4	\(\bar{c}ba\)	P -2n 2a		\(P\ 2_1\ c\ n\)	\(P\ 2_1\ c\ n\)
168		5	\(bca\)	P -2n -2ac		\(P\ c\ 2_1\ n\)	\(P\ c\ 2_1\ n\)
169		6	\(a\bar{c}b\)	P -2ac -2n		\(P\ n\ 2_1\ a\)	\(P\ n\ 2_1\ a\)
170	34	1		P 2 -2n	\(C_{2v}^{10}\)	\(P\ n\ n\ 2\)	\(P\ n\ n\ 2\)
171		2	\(cab\)	P -2n 2		\(P\ 2\ n\ n\)	\(P\ 2\ n\ n\)
172		3	\(bca\)	P -2n -2n		\(P\ n\ 2\ n\)	\(P\ n\ 2\ n\)
173	35	1		C 2 -2	\(C_{2v}^{11}\)	\(C\ m\ m\ 2\)	\(C\ m\ m\ 2\)
174		2	\(cab\)	A -2 2		\(A\ 2\ m\ m\)	\(A\ 2\ m\ m\)
175		3	\(bca\)	B -2 -2		\(B\ m\ 2\ m\)	\(B\ m\ 2\ m\)
176	36	1		C 2c -2	\(C_{2v}^{12}\)	\(C\ m\ c\ 2_1\)	\(C\ m\ c\ 2_1\)
177		2	\(ba\bar{c}\)	C 2c -2c		\(C\ c\ m\ 2_1\)	\(C\ c\ m\ 2_1\)
178		3	\(cab\)	A -2a 2a		\(A\ 2_1\ m\ a\)	\(A\ 2_1\ m\ a\)
179		4	\(\bar{c}ba\)	A -2 2a		\(A\ 2_1\ a\ m\)	\(A\ 2_1\ a\ m\)
180		5	\(bca\)	B -2 -2b		\(B\ b\ 2_1\ m\)	\(B\ b\ 2_1\ m\)
181		6	\(a\bar{c}b\)	B -2b -2		\(B\ m\ 2_1\ b\)	\(B\ m\ 2_1\ b\)
182	37	1		C 2 -2c	\(C_{2v}^{13}\)	\(C\ c\ c\ 2\)	\(C\ c\ c\ 2\)
183		2	\(cab\)	A -2a 2		\(A\ 2\ a\ a\)	\(A\ 2\ a\ a\)
184		3	\(bca\)	B -2b -2b		\(B\ b\ 2\ b\)	\(B\ b\ 2\ b\)
185	38	1		A 2 -2	\(C_{2v}^{14}\)	\(A\ m\ m\ 2\)	\(A\ m\ m\ 2\)
186		2	\(ba\bar{c}\)	B 2 -2		\(B\ m\ m\ 2\)	\(B\ m\ m\ 2\)
187		3	\(cab\)	B -2 2		\(B\ 2\ m\ m\)	\(B\ 2\ m\ m\)
188		4	\(\bar{c}ba\)	C -2 2		\(C\ 2\ m\ m\)	\(C\ 2\ m\ m\)
189		5	\(bca\)	C -2 -2		\(C\ m\ 2\ m\)	\(C\ m\ 2\ m\)
190		6	\(a\bar{c}b\)	A -2 -2		\(A\ m\ 2\ m\)	\(A\ m\ 2\ m\)
191	39	1		A 2 -2c	\(C_{2v}^{15}\)	\(A\ b\ m\ 2\)	\(A\ b\ m\ 2\)
192		2	\(ba\bar{c}\)	B 2 -2c		\(B\ m\ a\ 2\)	\(B\ m\ a\ 2\)
193		3	\(cab\)	B -2c 2		\(B\ 2\ c\ m\)	\(B\ 2\ c\ m\)
194		4	\(\bar{c}ba\)	C -2b 2		\(C\ 2\ m\ b\)	\(C\ 2\ m\ b\)
195		5	\(bca\)	C -2b -2b		\(C\ m\ 2\ a\)	\(C\ m\ 2\ a\)
196		6	\(a\bar{c}b\)	A -2c -2c		\(A\ c\ 2\ m\)	\(A\ c\ 2\ m\)
197	40	1		A 2 -2a	\(C_{2v}^{16}\)	\(A\ m\ a\ 2\)	\(A\ m\ a\ 2\)
198		2	\(ba\bar{c}\)	B 2 -2b		\(B\ b\ m\ 2\)	\(B\ b\ m\ 2\)
199		3	\(cab\)	B -2b 2		\(B\ 2\ m\ b\)	\(B\ 2\ m\ b\)
200		4	\(\bar{c}ba\)	C -2c 2		\(C\ 2\ c\ m\)	\(C\ 2\ c\ m\)
201		5	\(bca\)	C -2c -2c		\(C\ c\ 2\ m\)	\(C\ c\ 2\ m\)
202		6	\(a\bar{c}b\)	A -2a -2a		\(A\ m\ 2\ a\)	\(A\ m\ 2\ a\)
203	41	1		A 2 -2ac	\(C_{2v}^{17}\)	\(A\ b\ a\ 2\)	\(A\ b\ a\ 2\)
204		2	\(ba\bar{c}\)	B 2 -2bc		\(B\ b\ a\ 2\)	\(B\ b\ a\ 2\)
205		3	\(cab\)	B -2bc 2		\(B\ 2\ c\ b\)	\(B\ 2\ c\ b\)
206		4	\(\bar{c}ba\)	C -2bc 2		\(C\ 2\ c\ b\)	\(C\ 2\ c\ b\)
207		5	\(bca\)	C -2bc -2bc		\(C\ c\ 2\ a\)	\(C\ c\ 2\ a\)
208		6	\(a\bar{c}b\)	A -2ac -2ac		\(A\ c\ 2\ a\)	\(A\ c\ 2\ a\)
209	42	1		F 2 -2	\(C_{2v}^{18}\)	\(F\ m\ m\ 2\)	\(F\ m\ m\ 2\)
210		2	\(cab\)	F -2 2		\(F\ 2\ m\ m\)	\(F\ 2\ m\ m\)
211		3	\(bca\)	F -2 -2		\(F\ m\ 2\ m\)	\(F\ m\ 2\ m\)
212	43	1		F 2 -2d	\(C_{2v}^{19}\)	\(F\ d\ d\ 2\)	\(F\ d\ d\ 2\)
213		2	\(cab\)	F -2d 2		\(F\ 2\ d\ d\)	\(F\ 2\ d\ d\)
214		3	\(bca\)	F -2d -2d		\(F\ d\ 2\ d\)	\(F\ d\ 2\ d\)
215	44	1		I 2 -2	\(C_{2v}^{20}\)	\(I\ m\ m\ 2\)	\(I\ m\ m\ 2\)
216		2	\(cab\)	I -2 2		\(I\ 2\ m\ m\)	\(I\ 2\ m\ m\)
217		3	\(bca\)	I -2 -2		\(I\ m\ 2\ m\)	\(I\ m\ 2\ m\)
218	45	1		I 2 -2c	\(C_{2v}^{21}\)	\(I\ b\ a\ 2\)	\(I\ b\ a\ 2\)
219		2	\(cab\)	I -2a 2		\(I\ 2\ c\ b\)	\(I\ 2\ c\ b\)
220		3	\(bca\)	I -2b -2b		\(I\ c\ 2\ a\)	\(I\ c\ 2\ a\)
221	46	1		I 2 -2a	\(C_{2v}^{22}\)	\(I\ m\ a\ 2\)	\(I\ m\ a\ 2\)
222		2	\(ba\bar{c}\)	I 2 -2b		\(I\ b\ m\ 2\)	\(I\ b\ m\ 2\)
223		3	\(cab\)	I -2b 2		\(I\ 2\ m\ b\)	\(I\ 2\ m\ b\)
224		4	\(\bar{c}ba\)	I -2c 2		\(I\ 2\ c\ m\)	\(I\ 2\ c\ m\)
225		5	\(bca\)	I -2c -2c		\(I\ c\ 2\ m\)	\(I\ c\ 2\ m\)
226		6	\(a\bar{c}b\)	I -2a -2a		\(I\ m\ 2\ a\)	\(I\ m\ 2\ a\)
227	47	1		-P 2 2	\(D_{2h}^1\)	\(P\ m\ m\ m\)	\(P\ 2/m\ 2/m\ 2/m\)	8	\(m\ m\ m\)	\(D_{2h}\)
228	48	1	\(1\)	P 2 2 -1n	\(D_{2h}^2\)	\(P\ n\ n\ n\)	\(P\ 2/n\ 2/n\ 2/n\)
229		2	\(2\)	-P 2ab 2bc
230	49	1		-P 2 2c	\(D_{2h}^3\)	\(P\ c\ c\ m\)	\(P\ 2/c\ 2/c\ 2/m\)
231		2	\(cab\)	-P 2a 2		\(P\ m\ a\ a\)	\(P\ 2/m\ 2/a\ 2/a\)
232		3	\(bca\)	-P 2b 2b		\(P\ b\ m\ b\)	\(P\ 2/b\ 2/m\ 2/b\)
233	50	1	\(1\)	P 2 2 -1ab	\(D_{2h}^4\)	\(P\ b\ a\ n\)	\(P\ 2/b\ 2/a\ 2/n\)
234		2	\(2\)	-P 2ab 2b
235		3	\(1cab\)	P 2 2 -1bc		\(P\ n\ c\ b\)	\(P\ 2/n\ 2/c\ 2/b\)
236		4	\(2cab\)	-P 2b 2bc
237		5	\(1bca\)	P 2 2 -1ac		\(P\ c\ n\ a\)	\(P\ 2/c\ 2/n\ 2/a\)
238		6	\(2bca\)	-P 2a 2c
239	51	1		-P 2a 2a	\(D_{2h}^5\)	\(P\ m\ m\ a\)	\(P\ 2_1/m\ 2/m\ 2/a\)
240		2	\(ba\bar{c}\)	-P 2b 2		\(P\ m\ m\ b\)	\(P\ 2/m\ 2_1/m\ 2/b\)
241		3	\(cab\)	-P 2 2b		\(P\ b\ m\ m\)	\(P\ 2/b\ 2_1/m\ 2/m\)
242		4	\(\bar{c}ba\)	-P 2c 2c		\(P\ c\ m\ m\)	\(P\ 2/c\ 2/m\ 2_1/m\)
243		5	\(bca\)	-P 2c 2		\(P\ m\ c\ m\)	\(P\ 2/m\ 2/c\ 2_1/m\)
244		6	\(a\bar{c}b\)	-P 2 2a		\(P\ m\ a\ m\)	\(P\ 2_1/m\ 2/a\ 2/m\)
245	52	1		-P 2a 2bc	\(D_{2h}^6\)	\(P\ n\ n\ a\)	\(P\ 2/n\ 2_1/n\ 2/a\)
246		2	\(ba\bar{c}\)	-P 2b 2n		\(P\ n\ n\ b\)	\(P\ 2_1/n\ 2/n\ 2/b\)
247		3	\(cab\)	-P 2n 2b		\(P\ b\ n\ n\)	\(P\ 2/b\ 2/n\ 2_1/n\)
248		4	\(\bar{c}ba\)	-P 2ab 2c		\(P\ c\ n\ n\)	\(P\ 2/c\ 2_1/n\ 2/n\)
249		5	\(bca\)	-P 2ab 2n		\(P\ n\ c\ n\)	\(P\ 2_1/n\ 2/c\ 2/n\)
250		6	\(a\bar{c}b\)	-P 2n 2bc		\(P\ n\ a\ n\)	\(P\ 2/n\ 2/a\ 2_1/n\)
251	53	1		-P 2ac 2	\(D_{2h}^7\)	\(P\ m\ n\ a\)	\(P\ 2/m\ 2/n\ 2_1/a\)
252		2	\(ba\bar{c}\)	-P 2bc 2bc		\(P\ n\ m\ b\)	\(P\ 2/n\ 2/m\ 2_1/b\)
253		3	\(cab\)	-P 2ab 2ab		\(P\ b\ m\ n\)	\(P\ 2_1/b\ 2/m\ 2/n\)
254		4	\(\bar{c}ba\)	-P 2 2ac		\(P\ c\ n\ m\)	\(P\ 2_1/c\ 2/n\ 2/m\)
255		5	\(bca\)	-P 2 2bc		\(P\ n\ c\ m\)	\(P\ 2/n\ 2_1/c\ 2/m\)
256		6	\(a\bar{c}b\)	-P 2ab 2		\(P\ m\ a\ n\)	\(P\ 2/m\ 2_1/a\ 2/n\)
257	54	1		-P 2a 2ac	\(D_{2h}^8\)	\(P\ c\ c\ a\)	\(P\ 2_1/c\ 2/c\ 2/a\)
258		2	\(ba\bar{c}\)	-P 2b 2c		\(P\ c\ c\ b\)	\(P\ 2/c\ 2_1/c\ 2/b\)
259		3	\(cab\)	-P 2a 2b		\(P\ b\ a\ a\)	\(P\ 2/b\ 2_1/a\ 2/a\)
260		4	\(\bar{c}ba\)	-P 2ac 2c		\(P\ c\ a\ a\)	\(P\ 2/c\ 2/a\ 2_1/a\)
261		5	\(bca\)	-P 2bc 2b		\(P\ b\ c\ b\)	\(P\ 2/b\ 2/c\ 2_1/b\)
262		6	\(a\bar{c}b\)	-P 2b 2ab		\(P\ b\ a\ b\)	\(P\ 2_1/b\ 2/a\ 2/b\)
263	55	1		-P 2 2ab	\(D_{2h}^9\)	\(P\ b\ a\ m\)	\(P\ 2_1/b\ 2_1/a\ 2/m\)
264		2	\(cab\)	-P 2bc 2		\(P\ m\ c\ b\)	\(P\ 2/m\ 2_1/c\ 2_1/b\)
265		3	\(bca\)	-P 2ac 2ac		\(P\ c\ m\ a\)	\(P\ 2_1/c\ 2/m\ 2_1/a\)
266	56	1		-P 2ab 2ac	\(D_{2h}^{10}\)	\(P\ c\ c\ n\)	\(P\ 2_1/c\ 2_1/c\ 2/n\)
267		2	\(cab\)	-P 2ac 2bc		\(P\ n\ a\ a\)	\(P\ 2/n\ 2_1/a\ 2_1/a\)
268		3	\(bca\)	-P 2bc 2ab		\(P\ b\ n\ b\)	\(P\ 2_1/b\ 2/n\ 2_1/b\)
269	57	1		-P 2c 2b	\(D_{2h}^{11}\)	\(P\ b\ c\ m\)	\(P\ 2/b\ 2_1/c\ 2_1/m\)
270		2	\(ba\bar{c}\)	-P 2c 2ac		\(P\ c\ a\ m\)	\(P\ 2_1/c\ 2/a\ 2_1/m\)
271		3	\(cab\)	-P 2ac 2a		\(P\ m\ c\ a\)	\(P\ 2_1/m\ 2/c\ 2_1/a\)
272		4	\(\bar{c}ba\)	-P 2b 2a		\(P\ m\ a\ b\)	\(P\ 2_1/m\ 2_1/a\ 2/b\)
273		5	\(bca\)	-P 2a 2ab		\(P\ b\ m\ a\)	\(P\ 2_1/b\ 2_1/m\ 2/a\)
274		6	\(a\bar{c}b\)	-P 2bc 2c		\(P\ c\ m\ b\)	\(P\ 2/c\ 2_1/m\ 2_1/b\)
275	58	1		-P 2 2n	\(D_{2h}^{12}\)	\(P\ n\ n\ m\)	\(P\ 2_1/n\ 2_1/n\ 2/m\)
276		2	\(cab\)	-P 2n 2		\(P\ m\ n\ n\)	\(P\ 2/m\ 2_1/n\ 2_1/n\)
277		3	\(bca\)	-P 2n 2n		\(P\ n\ m\ n\)	\(P\ 2_1/n\ 2/m\ 2_1/n\)
278	59	1	\(1\)	P 2 2ab -1ab	\(D_{2h}^{13}\)	\(P\ m\ m\ n\)	\(P\ 2_1/m\ 2_1/m\ 2/n\)
279		2	\(2\)	-P 2ab 2a
280		3	\(1cab\)	P 2bc 2 -1bc		\(P\ n\ m\ m\)	\(P\ 2/n\ 2_1/m\ 2_1/m\)
281		4	\(2cab\)	-P 2c 2bc
282		5	\(1bca\)	P 2ac 2ac -1ac		\(P\ m\ n\ m\)	\(P\ 2_1/m\ 2/n\ 2_1/m\)
283		6	\(2bca\)	-P 2c 2a
284	60	1		-P 2n 2ab	\(D_{2h}^{14}\)	\(P\ b\ c\ n\)	\(P\ 2_1/b\ 2/c\ 2_1/n\)
285		2	\(ba\bar{c}\)	-P 2n 2c		\(P\ c\ a\ n\)	\(P\ 2/c\ 2_1/a\ 2_1/n\)
286		3	\(cab\)	-P 2a 2n		\(P\ n\ c\ a\)	\(P\ 2_1/n\ 2_1/c\ 2/a\)
287		4	\(\bar{c}ba\)	-P 2bc 2n		\(P\ n\ a\ b\)	\(P\ 2_1/n\ 2/a\ 2_1/b\)
288		5	\(bca\)	-P 2ac 2b		\(P\ b\ n\ a\)	\(P\ 2/b\ 2_1/n\ 2_1/a\)
289		6	\(a\bar{c}b\)	-P 2b 2ac		\(P\ c\ n\ b\)	\(P\ 2_1/c\ 2_1/n\ 2/b\)
290	61	1		-P 2ac 2ab	\(D_{2h}^{15}\)	\(P\ b\ c\ a\)	\(P\ 2_1/b\ 2_1/c\ 2_1/a\)
291		2	\(ba\bar{c}\)	-P 2bc 2ac		\(P\ c\ a\ b\)	\(P\ 2_1/c\ 2_1/a\ 2_1/b\)
292	62	1		-P 2ac 2n	\(D_{2h}^{16}\)	\(P\ n\ m\ a\)	\(P\ 2_1/n\ 2_1/m\ 2_1/a\)
293		2	\(ba\bar{c}\)	-P 2bc 2a		\(P\ m\ n\ b\)	\(P\ 2_1/m\ 2_1/n\ 2_1/b\)
294		3	\(cab\)	-P 2c 2ab		\(P\ b\ n\ m\)	\(P\ 2_1/b\ 2_1/n\ 2_1/m\)
295		4	\(\bar{c}ba\)	-P 2n 2ac		\(P\ c\ m\ n\)	\(P\ 2_1/c\ 2_1/m\ 2_1/n\)
296		5	\(bca\)	-P 2n 2a		\(P\ m\ c\ n\)	\(P\ 2_1/m\ 2_1/c\ 2_1/n\)
297		6	\(a\bar{c}b\)	-P 2c 2n		\(P\ n\ a\ m\)	\(P\ 2_1/n\ 2_1/a\ 2_1/m\)
298	63	1		-C 2c 2	\(D_{2h}^{17}\)	\(C\ m\ c\ m\)	\(C\ 2/m\ 2/c\ 2_1/m\)
299		2	\(ba\bar{c}\)	-C 2c 2c		\(C\ c\ m\ m\)	\(C\ 2/c\ 2/m\ 2_1/m\)
300		3	\(cab\)	-A 2a 2a		\(A\ m\ m\ a\)	\(A\ 2_1/m\ 2/m\ 2/a\)
301		4	\(\bar{c}ba\)	-A 2 2a		\(A\ m\ a\ m\)	\(A\ 2_1/m\ 2/a\ 2/m\)
302		5	\(bca\)	-B 2 2b		\(B\ b\ m\ m\)	\(B\ 2/b\ 2_1/m\ 2/m\)
303		6	\(a\bar{c}b\)	-B 2b 2		\(B\ m\ m\ b\)	\(B\ 2/m\ 2_1/m\ 2/b\)
304	64	1		-C 2bc 2	\(D_{2h}^{18}\)	\(C\ m\ c\ a\)	\(C\ 2/m\ 2/c\ 2_1/a\)
305		2	\(ba\bar{c}\)	-C 2bc 2bc		\(C\ c\ m\ b\)	\(C\ 2/c\ 2/m\ 2_1/b\)
306		3	\(cab\)	-A 2ac 2ac		\(A\ b\ m\ a\)	\(A\ 2_1/b\ 2/m\ a\)
307		4	\(\bar{c}ba\)	-A 2 2ac		\(A\ c\ a\ m\)	\(A\ 2_1/c\ 2/a\ 2/m\)
308		5	\(bca\)	-B 2 2bc		\(B\ b\ c\ m\)	\(B\ 2/b\ 2_1/c\ 2/m\)
309		6	\(a\bar{c}b\)	-B 2bc 2		\(B\ m\ a\ b\)	\(B\ 2/m\ 2_1/a\ 2/b\)
310	65	1		-C 2 2	\(D_{2h}^{19}\)	\(C\ m\ m\ m\)	\(C\ 2/m\ 2/m\ 2/m\)
311		2	\(cab\)	-A 2 2		\(A\ m\ m\ m\)	\(A\ 2/m\ 2/m\ 2/m\)
312		3	\(bca\)	-B 2 2		\(B\ m\ m\ m\)	\(B\ 2/m\ 2/m\ 2/m\)
313	66	1		-C 2 2c	\(D_{2h}^{20}\)	\(C\ c\ c\ m\)	\(C\ 2/c\ 2/c\ 2/m\)
314		2	\(cab\)	-A 2a 2		\(A\ m\ a\ a\)	\(A\ 2/m\ 2/a\ 2/a\)
315		3	\(bca\)	-B 2b 2b		\(B\ b\ m\ b\)	\(B\ 2/b\ 2/m\ 2/b\)
316	67	1		-C 2b 2	\(D_{2h}^{21}\)	\(C\ m\ m\ a\)	\(C\ 2/m\ 2/m\ 2/a\)
317		2	\(ba\bar{c}\)	-C 2b 2b		\(C\ m\ m\ b\)	\(C\ 2/m\ 2/m\ 2/b\)
318		3	\(cab\)	-A 2c 2c		\(A\ b\ m\ m\)	\(A\ 2/b\ 2/m\ 2/m\)
319		4	\(\bar{c}ba\)	-A 2 2c		\(A\ c\ m\ m\)	\(A\ 2/c\ 2/m\ 2/m\)
320		5	\(bca\)	-B 2 2c		\(B\ m\ c\ m\)	\(B\ 2/m\ 2/c\ 2/m\)
321		6	\(a\bar{c}b\)	-B 2c 2		\(B\ m\ a\ m\)	\(B\ 2/m\ 2/a\ 2/m\)
322	68	1	\(1\)	C 2 2 -1bc	\(D_{2h}^{22}\)	\(C\ c\ c\ a\)	\(C\ 2/c\ 2/c\ 2/a\)
323		2	\(2\)	-C 2b 2bc
324		3	\(1ba\bar{c}\)	C 2 2 -1bc		\(C\ c\ c\ b\)	\(C\ 2/c\ 2/c\ 2/b\)
325		4	\(2ba\bar{c}\)	-C 2b 2c
326		5	\(1cab\)	A 2 2 -1ac		\(A\ b\ a\ a\)	\(A\ 2/b\ 2/a\ 2/a\)
327		6	\(2cab\)	-A 2a 2c
328		7	\(1\bar{c}ba\)	A 2 2 -1ac		\(A\ c\ a\ a\)	\(A\ 2/c\ 2/a\ 2/a\)
329		8	\(2\bar{c}ba\)	-A 2ac 2c
330		9	\(1bca\)	B 2 2 -1bc		\(B\ b\ c\ b\)	\(B\ 2/b\ 2/c\ 2/b\)
331		10	\(2bca\)	-B 2bc 2b
332		11	\(1a\bar{c}b\)	B 2 2 -1bc		\(B\ b\ a\ b\)	\(B\ 2/b\ 2/a\ 2/b\)
333		12	\(2a\bar{c}b\)	-B 2b 2bc
334	69	1		-F 2 2	\(D_{2h}^{23}\)	\(F\ m\ m\ m\)	\(F\ 2/m\ 2/m\ 2/m\)
335	70	1	\(1\)	F 2 2 -1d	\(D_{2h}^{24}\)	\(F\ d\ d\ d\)	\(F\ 2/d\ 2/d\ 2/d\)
336		2	\(2\)	-F 2uv 2vw
337	71	1		-I 2 2	\(D_{2h}^{25}\)	\(I\ m\ m\ m\)	\(I\ 2/m\ 2/m\ 2/m\)
338	72	1		-I 2 2c	\(D_{2h}^{26}\)	\(I\ b\ a\ m\)	\(I\ 2/b\ 2/a\ 2/m\)
339		2	\(cab\)	-I 2a 2		\(I\ m\ c\ b\)	\(I\ 2/m\ 2/c\ 2/b\)
340		3	\(bca\)	-I 2b 2b		\(I\ c\ m\ a\)	\(I\ 2/c\ 2/m\ 2/a\)
341	73	1		-I 2b 2c	\(D_{2h}^{27}\)	\(I\ b\ c\ a\)	\(I\ 2/b\ 2/c\ 2/a\)
342		2	\(ba\bar{c}\)	-I 2a 2b		\(I\ c\ a\ b\)	\(I\ 2/c\ 2/a\ 2/b\)
343	74	1		-I 2b 2	\(D_{2h}^{28}\)	\(I\ m\ m\ a\)	\(I\ 2/m\ 2/m\ 2/a\)
344		2	\(ba\bar{c}\)	-I 2a 2a		\(I\ m\ m\ b\)	\(I\ 2/m\ 2/m\ 2/b\)
345		3	\(cab\)	-I 2c 2c		\(I\ b\ m\ m\)	\(I\ 2/b\ 2/m\ 2/m\)
346		4	\(\bar{c}ba\)	-I 2 2b		\(I\ c\ m\ m\)	\(I\ 2/c\ 2/m\ 2/m\)
347		5	\(bca\)	-I 2 2a		\(I\ m\ c\ m\)	\(I\ 2/m\ 2/c\ 2/m\)
348		6	\(a\bar{c}b\)	-I 2c 2		\(I\ m\ a\ m\)	\(I\ 2/m\ 2/a\ 2/m\)

---

Tetragonal

Crystal System No: 4

Serial No.	ITA No.	Sub No.	Axes, Origin	Hall symbol	Sch. symbol	HM symbol (short)	HM symbol (full)	PG No.	PG (HM)	PG (Sch.)	LC No.	LC (HM)
349	75	1		P 4	\(C_4^1\)	\(P\ 4\)	\(P\ 4\)	9	\(4\)	\(C_4\)	4	\(4/m\)
350	76	1		P 4w	\(C_4^2\)	\(P\ 4_1\)	\(P\ 4_1\)
351	77	1		P 4c	\(C_4^3\)	\(P\ 4_2\)	\(P\ 4_2\)
352	78	1		P 4cw	\(C_4^4\)	\(P\ 4_3\)	\(P\ 4_3\)
353	79	1		I 4	\(C_4^5\)	\(I\ 4\)	\(I\ 4\)
354	80	1		I 4bw	\(C_4^6\)	\(I\ 4_1\)	\(I\ 4_1\)
355	81	1		P -4	\(S_4^1\)	\(P\ \bar{4}\)	\(P\ \bar{4}\)	10	\(\bar{4}\)	\(S_4\)
356	82	1		I -4	\(S_4^2\)	\(I\ \bar{4}\)	\(I\ \bar{4}\)
357	83	1		-P 4	\(C_{4h}^1\)	\(P\ 4/m\)	\(P\ 4/m\)	11	\(4/m\)	\(C_{4h}\)
358	84	1		-P 4c	\(C_{4h}^2\)	\(P\ 4_2/\ m\)	\(P\ 4_2/m\)
359	85	1	\(1\)	P 4ab -1ab	\(C_{4h}^3\)	\(P\ 4/n\)	\(P\ 4/n\)
360		2	\(2\)	-P 4a
361	86	1	\(1\)	P 4n -1n	\(C_{4h}^4\)	\(P\ 4_2/\ n\)	\(P\ 4_2/n\)
362		2	\(2\)	-P 4bc
363	87	1		-I 4	\(C_{4h}^5\)	\(I\ 4/m\)	\(I\ 4/m\)
364	88	1	\(1\)	I 4bw -1bw	\(C_{4h}^6\)	\(I\ 4_1/\ a\)	\(I\ 4_1/a\)
365		2	\(2\)	-I 4ad
366	89	1		P 4 2	\(D_4^1\)	\(P\ 4\ 2\ 2\)	\(P\ 4\ 2\ 2\)	12	\(4\ 2\ 2\)	\(D_4\)	5	\(4/mmm\)
367	90	1		P 4ab 2ab	\(D_4^2\)	\(P\ 4\ 2_1\ 2\)	\(P\ 4\ 2_1\ 2\)
368	91	1		P 4w 2c	\(D_4^3\)	\(P\ 4_1\ 2\ 2\)	\(P\ 4_1\ 2\ 2\)
369	92	1		P 4abw 2nw	\(D_4^4\)	\(P\ 4_1\ 2_1\ 2\)	\(P\ 4_1\ 2_1\ 2\)
370	93	1		P 4c 2	\(D_4^5\)	\(P\ 4_2\ 2\ 2\)	\(P\ 4_2\ 2\ 2\)
371	94	1		P 4n 2n	\(D_4^6\)	\(P\ 4_2\ 2_1\ 2\)	\(P\ 4_2\ 2_1\ 2\)
372	95	1		P 4cw 2c	\(D_4^7\)	\(P\ 4_3\ 2\ 2\)	\(P\ 4_3\ 2\ 2\)
373	96	1		P 4nw 2abw	\(D_4^8\)	\(P\ 4_3\ 2_1\ 2\)	\(P\ 4_3\ 2_1\ 2\)
374	97	1		I 4 2	\(D_4^9\)	\(I\ 4\ 2\ 2\)	\(I\ 4\ 2\ 2\)
375	98	1		I 4bw 2bw	\(D_4^{10}\)	\(I\ 4_1\ 2\ 2\)	\(I\ 4_1\ 2\ 2\)
376	99	1		P 4 -2	\(C_{4v}^1\)	\(P\ 4\ m\ m\)	\(P\ 4\ m\ m\)	13	\(4\ m\ m\)	\(C_{4v}\)
377	100	1		P 4 -2ab	\(C_{4v}^2\)	\(P\ 4\ b\ m\)	\(P\ 4\ b\ m\)
378	101	1		P 4c -2c	\(C_{4v}^3\)	\(P\ 4_2\ c\ m\)	\(P\ 4_2\ c\ m\)
379	102	1		P 4n -2n	\(C_{4v}^4\)	\(P\ 4_2\ n\ m\)	\(P\ 4_2\ n\ m\)
380	103	1		P 4 -2c	\(C_{4v}^5\)	\(P\ 4\ c\ c\)	\(P\ 4\ c\ c\)
381	104	1		P 4 -2n	\(C_{4v}^6\)	\(P\ 4\ n\ c\)	\(P\ 4\ n\ c\)
382	105	1		P 4c -2	\(C_{4v}^7\)	\(P\ 4_2\ m\ c\)	\(P\ 4_2\ m\ c\)
383	106	1		P 4c -2ab	\(C_{4v}^8\)	\(P\ 4_2\ b\ c\)	\(P\ 4_2\ b\ c\)
384	107	1		I 4 -2	\(C_{4v}^9\)	\(I\ 4\ m\ m\)	\(I\ 4\ m\ m\)
385	108	1		I 4 -2c	\(C_{4v}^{10}\)	\(I\ 4\ c\ m\)	\(I\ 4\ c\ m\)
386	109	1		I 4bw -2	\(C_{4v}^{11}\)	\(I\ 4_1\ m\ d\)	\(I\ 4_1\ m\ d\)
387	110	1		I 4bw -2c	\(C_{4v}^{12}\)	\(I\ 4_1\ c\ d\)	\(I\ 4_1\ c\ d\)
388	111	1		P -4 2	\(D_{2d}^1\)	\(P\ \bar{4}\ 2\ m\)	\(P\ \bar{4}\ 2\ m\)	14	\(\bar{4}\ 2\ m\)	\(D_{2d}\)
389	112	1		P -4 2c	\(D_{2d}^2\)	\(P\ \bar{4}\ 2\ c\)	\(P\ \bar{4}\ 2\ c\)
390	113	1		P -4 2ab	\(D_{2d}^3\)	\(P\ \bar{4}\ 2_1\ m\)	\(P\ \bar{4}\ 2_1\ m\)
391	114	1		P -4 2n	\(D_{2d}^4\)	\(P\ \bar{4}\ 2_1\ c\)	\(P\ \bar{4}\ 2_1\ c\)
392	115	1		P -4 -2	\(D_{2d}^5\)	\(P\ \bar{4}\ m\ 2\)	\(P\ \bar{4}\ m\ 2\)
393	116	1		P -4 -2c	\(D_{2d}^6\)	\(P\ \bar{4}\ c\ 2\)	\(P\ \bar{4}\ c\ 2\)
394	117	1		P -4 -2ab	\(D_{2d}^7\)	\(P\ \bar{4}\ b\ 2\)	\(P\ \bar{4}\ b\ 2\)
395	118	1		P -4 -2n	\(D_{2d}^8\)	\(P\ \bar{4}\ n\ 2\)	\(P\ \bar{4}\ n\ 2\)
396	119	1		I -4 -2	\(D_{2d}^9\)	\(I\ \bar{4}\ m\ 2\)	\(I\ \bar{4}\ m\ 2\)
397	120	1		I -4 -2c	\(D_{2d}^{10}\)	\(I\ \bar{4}\ c\ 2\)	\(I\ \bar{4}\ c\ 2\)
398	121	1		I -4 2	\(D_{2d}^{11}\)	\(I\ \bar{4}\ 2\ m\)	\(I\ \bar{4}\ 2\ m\)
399	122	1		I -4 2bw	\(D_{2d}^{12}\)	\(I\ \bar{4}\ 2\ d\)	\(I\ \bar{4}\ 2\ d\)
400	123	1		-P 4 2	\(D_{4h}^1\)	\(P\ 4/m\ m\ m\)	\(P\ 4/m\ 2/m\ 2/m\)	15	\(4/m\ m\ m\)	\(D_{4h}\)
401	124	1		-P 4 2c	\(D_{4h}^2\)	\(P\ 4/m\ c\ c\)	\(P\ 4/m\ 2/c\ 2/c\)
402	125	1	\(1\)	P 4 2 -1ab	\(D_{4h}^3\)	\(P\ 4/n\ b\ m\)	\(P\ 4/n\ 2/b\ 2/m\)
403		2	\(2\)	-P 4a 2b
404	126	1	\(1\)	P 4 2 -1n	\(D_{4h}^4\)	\(P\ 4/n\ n\ c\)	\(P\ 4/n\ 2/n\ 2/c\)
405		2	\(2\)	-P 4a 2bc
406	127	1		-P 4 2ab	\(D_{4h}^5\)	\(P\ 4/m\ b\ m\)	\(P\ 4/m\ 2_1/b\ m\)
407	128	1		-P 4 2n	\(D_{4h}^6\)	\(P\ 4/m\ n\ c\)	\(P\ 4/m\ 2_1/n\ c\)
408	129	1	\(1\)	P 4ab 2ab -1ab	\(D_{4h}^7\)	\(P\ 4/n\ m\ m\)	\(P\ 4/n\ 2_1/m\ m\)
409		2	\(2\)	-P 4a 2a
410	130	1	\(1\)	P 4ab 2n -1ab	\(D_{4h}^8\)	\(P\ 4/n\ c\ c\)	\(P\ 4/n\ 2_1/c\ c\)
411		2	\(2\)	-P 4a 2ac
412	131	1		-P 4c 2	\(D_{4h}^9\)	\(P\ 4_2/\ m\ m\ c\)	\(P\ 4_2/m\ 2/m\ 2/c\)
413	132	1		-P 4c 2c	\(D_{4h}^{10}\)	\(P\ 4_2/\ m\ c\ m\)	\(P\ 4_2/m\ 2/c\ 2/m\)
414	133	1	\(1\)	P 4n 2c -1n	\(D_{4h}^{11}\)	\(P\ 4_2/\ n\ b\ c\)	\(P\ 4_2/n\ 2/b\ 2/c\)
415		2	\(2\)	-P 4ac 2b
416	134	1	\(1\)	P 4n 2 -1n	\(D_{4h}^{12}\)	\(P\ 4_2/\ n\ n\ m\)	\(P\ 4_2/n\ 2/n\ 2/m\)
417		2	\(2\)	-P 4ac 2bc
418	135	1		-P 4c 2ab	\(D_{4h}^{13}\)	\(P\ 4_2/\ m\ b\ c\)	\(P\ 4_2/m\ 2_1/b\ 2/c\)
419	136	1		-P 4n 2n	\(D_{4h}^{14}\)	\(P\ 4_2/\ m\ n\ m\)	\(P\ 4_2/m\ 2_1/n\ 2/m\)
420	137	1	\(1\)	P 4n 2n -1n	\(D_{4h}^{15}\)	\(P\ 4_2/\ n\ m\ c\)	\(P\ 4_2/n\ 2_1/m\ 2/c\)
421		2	\(2\)	-P 4ac 2a
422	138	1	\(1\)	P 4n 2ab -1n	\(D_{4h}^{16}\)	\(P\ 4_2/\ n\ c\ m\)	\(P\ 4_2/n\ 2_1/c\ 2/m\)
423		2	\(2\)	-P 4ac 2ac
424	139	1		-I 4 2	\(D_{4h}^{17}\)	\(I\ 4/m\ m\ m\)	\(I\ 4/m\ 2/m\ 2/m\)
425	140	1		-I 4 2c	\(D_{4h}^{18}\)	\(I\ 4/m\ c\ m\)	\(I\ 4/m\ 2/c\ 2/m\)
426	141	1	\(1\)	I 4bw 2bw -1bw	\(D_{4h}^{19}\)	\(I\ 4_1/\ a\ m\ d\)	\(I\ 4_1/a\ 2/m\ 2/d\)
427		2	\(2\)	-I 4bd 2
428	142	1	\(1\)	I 4bw 2aw -1bw	\(D_{4h}^{20}\)	\(I\ 4_1/\ a\ c\ d\)	\(I\ 4_1/a\ 2/c\ 2/d\)
429		2	\(2\)	-I 4bd 2c

---

Trigonal

Crystal System No: 5

Serial No.	ITA No.	Sub No.	Axes, Origin	Hall symbol	Sch. symbol	HM symbol (short)	HM symbol (full)	PG No.	PG (HM)	PG (Sch.)	LC No.	LC (HM)
430	143	1		P 3	\(C_3^1\)	\(P\ 3\)	\(P\ 3\)	16	\(3\)	\(C_{3}\)	6	\(\bar{3}\)
431	144	1		P 31	\(C_3^2\)	\(P\ 3_1\)	\(P\ 3_1\)
432	145	1		P 32	\(C_3^3\)	\(P\ 3_2\)	\(P\ 3_2\)
433	146	1	\(H\)	R 3	\(C_3^4\)	\(R\ 3\)	\(R\ 3\)
434		2	\(R\)	P 3*
435	147	1		-P 3	\(C_{3i}^1\)	\(P\ \bar{3}\)	\(P\ \bar{3}\)	17	\(\bar{3}\)
436	148	1	\(H\)	-R 3	\(C_{3i}^2\)	\(R\ \bar{3}\)	\(R\ \bar{3}\)
437		2	\(R\)	-P 3*
438	149	1		P 3 2	\(D_3^1\)	\(P\ 3\ 1\ 2\)	\(P\ 3\ 1\ 2\)	18	\(3\ 2\)	\(D_3\)	7	\(\bar{3}2m\)
439	150	1		P 3 2\	\(D_3^2\)	\(P\ 3\ 2\ 1\)	\(P\ 3\ 2\ 1\)
440	151	1		P 31 2c (0 0 1)	\(D_3^3\)	\(P\ 3_1\ 1\ 2\)	\(P\ 3_1\ 1\ 2\)
441	152	1		P 31 2\	\(D_3^4\)	\(P\ 3_1\ 2\ 1\)	\(P\ 3_1\ 2\ 1\)
442	153	1		P 32 2c (0 0 -1)	\(D_3^5\)	\(P\ 3_2\ 1\ 2\)	\(P\ 3_2\ 1\ 2\)
443	154	1		P 32 2\	\(D_3^6\)	\(P\ 3_2\ 2\ 1\)	\(P\ 3_2\ 2\ 1\)
444	155	1	\(H\)	R 3 2\	\(D_3^7\)	\(R\ 3\ 2\)	\(R\ 3\ 2\)
445		2	\(R\)	P 3* 2
446	156	1		P 3 -2\	\(C_{3v}^1\)	\(P\ 3\ m\ 1\)	\(P\ 3\ m\ 1\)	19	\(3\ m\)	\(C_{3v}\)
447	157	1		P 3 -2	\(C_{3v}^2\)	\(P\ 3\ 1\ m\)	\(P\ 3\ 1\ m\)
448	158	1		P 3 -2\c	\(C_{3v}^3\)	\(P\ 3\ c\ 1\)	\(P\ 3\ c\ 1\)
449	159	1		P 3 -2c	\(C_{3v}^4\)	\(P\ 3\ 1\ c\)	\(P\ 3\ 1\ c\)
450	160	1	\(H\)	R 3 -2\	\(C_{3v}^5\)	\(R\ 3\ m\)	\(R\ 3\ m\)
451		2	\(R\)	P 3* -2
452	161	1	\(H\)	R 3 -2\c	\(C_{3v}^6\)	\(R\ 3\ c\)	\(R\ 3\ c\)
453		2	\(R\)	P 3* -2n
454	162	1		-P 3 2	\(D_{3d}^1\)	\(P\ \bar{3}\ \ 1\ m\)	\(P\ \bar{3}\ 1\ 2/m\)	20	\(\bar{3}\ m\)	\(D_{3d}\)
455	163	1		-P 3 2c	\(D_{3d}^2\)	\(P\ \bar{3}\ \ 1\ c\)	\(P\ \bar{3}\ 1\ 2/c\)
456	164	1		-P 3 2\	\(D_{3d}^3\)	\(P\ \bar{3}\ \ m\ 1\)	\(P\ \bar{3}\ 2/m\ 1\)
457	165	1		-P 3 2\c	\(D_{3d}^4\)	\(P\ \bar{3}\ \ c\ 1\)	\(P\ \bar{3}\ 2/c\ 1\)
458	166	1	\(H\)	-R 3 2\	\(D_{3d}^5\)	\(R\ \bar{3}\ \ m\)	\(R\ \bar{3}\ 2/m\)
459		2	\(R\)	-P 3* 2
460	167	1	\(H\)	-R 3 2\c	\(D_{3d}^6\)	\(R\ \bar{3}\ \ c\)	\(R\ \bar{3}\ 2/c\)
461		2	\(R\)	-P 3* 2n

---

Hexagonal

Crystal System No: 6

Serial No.	ITA No.	Sub No.	Axes, Origin	Hall symbol	Sch. symbol	HM symbol (short)	HM symbol (full)	PG No.	PG (HM)	PG (Sch.)	LC No.	LC (HM)
462	168	1		P 6	\(C_6^1\)	\(P\ 6\)	\(P\ 6\)	21	\(6\)	\(C_6\)	8	\(6/m\)
463	169	1		P 61	\(C_6^2\)	\(P\ 6_1\)	\(P\ 6_1\)
464	170	1		P 65	\(C_6^3\)	\(P\ 6_5\)	\(P\ 6_5\)
465	171	1		P 62	\(C_6^4\)	\(P\ 6_2\)	\(P\ 6_2\)
466	172	1		P 64	\(C_6^5\)	\(P\ 6_4\)	\(P\ 6_4\)
467	173	1		P 6c	\(C_6^6\)	\(P\ 6_3\)	\(P\ 6_3\)
468	174	1		P -6	\(C_{3h}^1\)	\(P\ \bar{6}\)	\(P\ \bar{6}\)	22	\(\bar{6}\)	\(C_{3h}\)
469	175	1		-P 6	\(C_{6h}^1\)	\(P\ 6/m\)	\(P\ 6/m\)	23	\(6/m\)	\(C_{6h}\)
470	176	1		-P 6c	\(C_{6h}^2\)	\(P\ 6_3/m\)	\(P\ 6_3/m\)
471	177	1		P 6 2	\(D_6^1\)	\(P\ 6\ 2\ 2\)	\(P\ 6\ 2\ 2\)	24	\(6\ 2\ 2\)	\(D_6\)	9	\(6/mmm\)
472	178	1		P 61 2 (0 0 -1)	\(D_6^2\)	\(P\ 6_1\ 2\ 2\)	\(P\ 6_1\ 2\ 2\)
473	179	1		P 65 2 (0 0 1)	\(D_6^3\)	\(P\ 6_5\ 2\ 2\)	\(P\ 6_5\ 2\ 2\)
474	180	1		P 62 2c (0 0 1)	\(D_6^4\)	\(P\ 6_2\ 2\ 2\)	\(P\ 6_2\ 2\ 2\)
475	181	1		P 64 2c (0 0 -1)	\(D_6^5\)	\(P\ 6_4\ 2\ 2\)	\(P\ 6_4\ 2\ 2\)
476	182	1		P 6c 2c	\(D_6^6\)	\(P\ 6_3\ 2\ 2\)	\(P\ 6_3\ 2\ 2\)
477	183	1		P 6 -2	\(C_{6v}^1\)	\(P\ 6\ m\ m\)	\(P\ 6\ m\ m\)	25	\(6\ m\ m\)	\(C_{6v}\)
478	184	1		P 6 -2c	\(C_{6v}^2\)	\(P\ 6\ c\ c\)	\(P\ 6\ c\ c\)
479	185	1		P 6c -2	\(C_{6v}^3\)	\(P\ 6_3\ c\ m\)	\(P\ 6_3\ c\ m\)
480	186	1		P 6c -2c	\(C_{6v}^4\)	\(P\ 6_3\ m\ c\)	\(P\ 6_3\ m\ c\)
481	187	1		P -6 2	\(D_{3h}^1\)	\(P\ \bar{6}\ m\ 2\)	\(P\ \bar{6}\ m\ 2\)	26	\(\bar{6}\ m\ 2\)	\(D_{3h}\)
482	188	1		P -6c 2	\(D_{3h}^2\)	\(P\ \bar{6}\ c\ 2\)	\(P\ \bar{6}\ c\ 2\)
483	189	1		P -6 -2	\(D_{3h}^3\)	\(P\ \bar{6}\ 2\ m\)	\(P\ \bar{6}\ 2\ m\)
484	190	1		P -6c -2c	\(D_{3h}^4\)	\(P\ \bar{6}\ 2\ c\)	\(P\ \bar{6}\ 2\ c\)
485	191	1		-P 6 2	\(D_{6h}^1\)	\(P\ 6/m\ m\ m\)	\(P\ 6/m\ 2/m\ 2/m\)	27	\(6/m\ m\ m\)	\(D_{6h}\)
486	192	1		-P 6 2c	\(D_{6h}^2\)	\(P\ 6/m\ c\ c\)	\(P\ 6/m\ 2/c\ 2/c\)
487	193	1		-P 6c 2	\(D_{6h}^3\)	\(P\ 6_3/m\ c\ m\)	\(P\ 6_3/m\ 2/c\ 2/m\)
488	194	1		-P 6c 2c	\(D_{6h}^4\)	\(P\ 6_3/m\ m\ c\)	\(P\ 6_3/m\ 2/m\ 2/c\)

---

Cubic

Crystal System No: 7

Serial No.	ITA No.	Sub No.	Axes, Origin	Hall symbol	Sch. symbol	HM symbol (short)	HM symbol (full)	PG No.	PG (HM)	PG (Sch.)	LC No.	LC (HM)
489	195	1		P 2 2 3	\(T^1\)	\(P\ 2\ 3\)	\(P\ 2\ 3\)	28	\(2\ 3\)	\(T\)	10	\(m\bar{3}\)
490	196	1		F 2 2 3	\(T^2\)	\(F\ 2\ 3\)	\(F\ 2\ 3\)
491	197	1		I 2 2 3	\(T^3\)	\(I\ 2\ 3\)	\(I\ 2\ 3\)
492	198	1		P 2ac 2ab 3	\(T^4\)	\(P\ 2_1\ 3\)	\(P\ 2_1\ 3\)
493	199	1		I 2b 2c 3	\(T^5\)	\(I\ 2_1\ 3\)	\(I\ 2_1\ 3\)
494	200	1		-P 2 2 3	\(T_h^1\)	\(P\ m\ \bar{3}\)	\(P\ 2/m\ \bar{3}\)	29	\(m\ \bar{3}\)	\(T_h\)
495	201	1	\(1\)	P 2 2 3 -1n	\(T_h^2\)	\(P\ n\ \bar{3}\)	\(P\ 2/n\ \bar{3}\)
496		2	\(2\)	-P 2ab 2bc 3
497	202	1		-F 2 2 3	\(T_h^3\)	\(F\ m\ \bar{3}\)	\(F\ 2/m\ \bar{3}\)
498	203	1	\(1\)	F 2 2 3 -1d	\(T_h^4\)	\(F\ d\ \bar{3}\)	\(F\ 2/d\ \bar{3}\)
499		2	\(2\)	-F 2uv 2vw 3
500	204	1		-I 2 2 3	\(T_h^5\)	\(I\ m\ \bar{3}\)	\(I\ 2/m\ \bar{3}\)
501	205	1		-P 2ac 2ab 3	\(T_h^6\)	\(P\ a\ \bar{3}\)	\(P\ 2_1/a\ \bar{3}\)
502	206	1		-I 2b 2c 3	\(T_h^7\)	\(I\ a\ \bar{3}\)	\(I\ 2_1/a\ \bar{3}\)
503	207	1		P 4 2 3	\(O^1\)	\(P\ 4\ 3\ 2\)	\(P\ 4\ 3\ 2\)	30	\(4\ 3\ 2\)	\(O\)	11	\(m\bar{3}m\)
504	208	1		P 4n 2 3	\(O^2\)	\(P\ 4_2\ 3\ 2\)	\(P\ 4_2\ 3\ 2\)
505	209	1		F 4 2 3	\(O^3\)	\(F\ 4\ 3\ 2\)	\(F\ 4\ 3\ 2\)
506	210	1		F 4d 2 3	\(O^4\)	\(F\ 4_1\ 3\ 2\)	\(F\ 4_1\ 3\ 2\)
507	211	1		I 4 2 3	\(O^5\)	\(I\ 4\ 3\ 2\)	\(I\ 4\ 3\ 2\)
508	212	1		P 4acd 2ab 3	\(O^6\)	\(P\ 4_3\ 3\ 2\)	\(P\ 4_3\ 3\ 2\)
509	213	1		P 4bd 2ab 3	\(O^7\)	\(P\ 4_1\ 3\ 2\)	\(P\ 4_1\ 3\ 2\)
510	214	1		I 4bd 2c 3	\(O^8\)	\(I\ 4_1\ 3\ 2\)	\(I\ 4_1\ 3\ 2\)
511	215	1		P -4 2 3	\(T_d^1\)	\(P\ \bar{4}\ 3\ m\)	\(P\ \bar{4}\ 3\ m\)	31	\(\bar{4}\ 3\ m\)	\(T_d\)
512	216	1		F -4 2 3	\(T_d^2\)	\(F\ \bar{4}\ 3\ m\)	\(F\ \bar{4}\ 3\ m\)
513	217	1		I -4 2 3	\(T_d^3\)	\(I\ \bar{4}\ 3\ m\)	\(I\ \bar{4}\ 3\ m\)
514	218	1		P -4n 2 3	\(T_d^4\)	\(P\ \bar{4}\ 3\ n\)	\(P\ \bar{4}\ 3\ n\)
515	219	1		F -4c 2 3	\(T_d^5\)	\(F\ \bar{4}\ 3\ c\)	\(F\ \bar{4}\ 3\ c\)
516	220	1		I -4bd 2c 3	\(T_d^6\)	\(I\ \bar{4}\ 3\ d\)	\(I\ \bar{4}\ 3\ d\)
517	221	1		-P 4 2 3	\(O_h^1\)	\(P\ m\ \bar{3}\ \ m\)	\(P\ 4/m\ \bar{3}\ 2/m\)	32	\(m\ \bar{3}\ m\)	\(O_h\)
518	222	1	\(1\)	P 4 2 3 -1n	\(O_h^2\)	\(P\ n\ \bar{3}\ \ n\)	\(P\ 4/n\ \bar{3}\ 2/n\)
519		2	\(2\)	-P 4a 2bc 3
520	223	1		-P 4n 2 3	\(O_h^3\)	\(P\ m\ \bar{3}\ \ n\)	\(P\ 4_2/m\ \bar{3}\ 2/n\)
521	224	1	\(1\)	P 4n 2 3 -1n	\(O_h^4\)	\(P\ n\ \bar{3}\ \ m\)	\(P\ 4_2/n\ \bar{3}\ 2/m\)
522		2	\(2\)	-P 4bc 2bc 3
523	225	1		-F 4 2 3	\(O_h^5\)	\(F\ m\ \bar{3}\ \ m\)	\(F\ 4/m\ \bar{3}\ 2/m\)
524	226	1		-F 4c 2 3	\(O_h^6\)	\(F\ m\ \bar{3}\ \ c\)	\(F\ 4/m\ \bar{3}\ 2/c\)
525	227	1	\(1\)	F 4d 2 3 -1d	\(O_h^7\)	\(F\ d\ \bar{3}\ \ m\)	\(F\ 4_1/d\ \bar{3}\ 2/m\)
526		2	\(2\)	-F 4vw 2vw 3
527	228	1	\(1\)	F 4d 2 3 -1cd	\(O_h^8\)	\(F\ d\ \bar{3}\ \ c\)	\(F\ 4_1/d\ \bar{3}\ 2/c\)
528		2	\(2\)	-F 4cvw 2vw 3
529	229	1		-I 4 2 3	\(O_h^9\)	\(I\ m\ \bar{3}\ \ m\)	\(I\ 4/m\ \bar{3}\ 2/m\)
530	230	1		-I 4bd 2c 3	\(O_h^{10}\)	\(I\ a\ \bar{3}\ \ d\)	\(I\ 4_1/a\ \bar{3}\ 2/d\)