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空間群一覧

3次元の空間群は230種類あります。軸の交換や原点選択を考慮すると、530種類となります。以下に、この530種類の空間群の一覧を掲載します。

  • Serial No.: 全体の通し番号 (1~530)
  • ITA No.: International Tables for Crystallography, Vol. A (以下ITA) における空間群番号 (1~230)
  • Sub No.: ITA表記に対する枝番号 (1はITA表記そのまま、2以降は軸設定などが異なる)
  • Axes, Origin: 主軸/副軸の設定 あるいは 原点選択(Origin Choice)
  • Hall symbol: Hallの記法に従った空間群表記
  • Sch. symbol: Schoenfliesの記法に従った空間群表記
  • HM symbol (short): Hermann–Mauguinの記法に従った空間群表記 (省略形)
  • HM symbol (full): Hermann–Mauguinの記法に従った空間群表記 (完全形)
  • PG No.: 点群の通し番号 (1~32)
  • PG (HM): Hermann–Mauguinの記法に従った点群表記 (省略形)
  • PG (Sch.): Schoenfliesの記法に従った点群表記
  • LC No.: ラウエクラスの通し番号 (1~11)
  • LC (HM): ラウエクラス (HM記法)
  • Crystal System No.: 結晶系の通し番号 (1~7)

Triclinic 三斜晶系

Crystal System No.: 1

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

Laue Class No.: 1

Serial No.ITA No.Sub No.Axes, OriginHall symbolSch. symbolHM symbol (short)HM symbol (full)PG No.PG (HM)PG (Sch.)
111P 1\(C_1^1\)\(P\ 1\)\(P\ 1\)1\(1\)\(C_1\)
221-P 1\(C_i^1\)\(P\ \bar{1}\)\(P\ \bar{1}\)2\(\bar{1}\)\(C_i\)

Monoclinic 単斜晶系

Crystal System No..: 2

Laue Class: \(2/m\)

Laue Class No.: 2

Serial No.ITA No.Sub No.Axes, OriginHall symbolSch. symbolHM symbol (short)HM symbol (full)PG No.PG (HM)PG (Sch.)
331\(b\)P 2y\(C_2^1\)\(P\ 2\ =\ P\ 1\ 2\ 1\)\(P\ 1\ 2\ 1\)3\(2\)\(C_2\)
42\(c\)P 2\(P\ 2\ =\ P\ 1\ 1\ 2\)\(P\ 1\ 1\ 2\)
53\(a\)P 2x\(P\ 2\ =\ P\ 2\ 1\ 1\)\(P\ 2\ 1\ 1\)
641\(b\)P 2yb\(C_2^2\)\(P\ 2_1\ =\ P\ 1\ 2_1\ 1\)\(P\ 1\ 2_1\ 1\)
72\(c\)P 2c\(P\ 2_1\ =\ P\ 1\ 1\ 2_1\)\(P\ 1\ 1\ 2_1\)
83\(a\)P 2xa\(P\ 2_1\ =\ P\ 2_1\ 1\ 1\)\(P\ 2_1\ 1\ 1\)
951\(b1\)C 2y\(C_2^3\)\(C\ 2\ =\ C\ 1\ 2\ 1\)\(C\ 1\ 2\ 1\)
102\(b2\)A 2y\(C\ 2\ =\ A\ 1\ 2\ 1\)\(A\ 1\ 2\ 1\)
113\(b3\)I 2y\(C\ 2\ =\ I\ 1\ 2\ 1\)\(I\ 1\ 2\ 1\)
124\(c1\)A 2\(C\ 2\ =\ A\ 1\ 1\ 2\)\(A\ 1\ 1\ 2\)
135\(c2\)B 2\(C\ 2\ =\ B\ 1\ 1\ 2\ =\ B\ 2\)\(B\ 1\ 1\ 2\)
146\(c3\)I 2\(C\ 2\ =\ I\ 1\ 1\ 2\)\(I\ 1\ 1\ 2\)
157\(a1\)B 2x\(C\ 2\ =\ B\ 2\ 1\ 1\)\(B\ 2\ 1\ 1\)
168\(a2\)C 2x\(C\ 2\ =\ C\ 2\ 1\ 1\)\(C\ 2\ 1\ 1\)
179\(a3\)I 2x\(C\ 2\ =\ I\ 2\ 1\ 1\)\(I\ 2\ 1\ 1\)
1861\(b\)P -2y\(C_s^1\)\(P\ m\ =\ P\ 1\ m\ 1\)\(P\ 1\ m\ 1\)4\(m\)\(C_s\)
192\(c\)P -2\(P\ m\ =\ P\ 1\ 1\ m\)\(P\ 1\ 1\ m\)
203\(a\)P -2x\(P\ m\ =\ P\ m\ 1\ 1\)\(P\ m\ 1\ 1\)
2171\(b1\)P -2yc\(C_s^2\)\(P\ c\ =\ P\ 1\ c\ 1\)\(P\ 1\ c\ 1\)
222\(b2\)P -2yac\(P\ c\ =\ P\ 1\ n\ 1\)\(P\ 1\ n\ 1\)
233\(b3\)P -2ya\(P\ c\ =\ P\ 1\ a\ 1\)\(P\ 1\ a\ 1\)
244\(c1\)P -2a\(P\ c\ =\ P\ 1\ 1\ a\)\(P\ 1\ 1\ a\)
255\(c2\)P -2ab\(P\ c\ =\ P\ 1\ 1\ n\)\(P\ 1\ 1\ n\)
266\(c3\)P -2b\(P\ c\ =\ P\ 1\ 1\ b\ =\ P\ b\)\(P\ 1\ 1\ b\)
277\(a1\)P -2xb\(P\ c\ =\ P\ b\ 1\ 1\)\(P\ b\ 1\ 1\)
288\(a2\)P -2xbc\(P\ c\ =\ P\ n\ 1\ 1\)\(P\ n\ 1\ 1\)
299\(a3\)P -2xc\(P\ c\ =\ P\ c\ 1\ 1\)\(P\ c\ 1\ 1\)
3081\(b1\)C -2y\(C_s^3\)\(C\ m\ =\ C\ 1\ m\ 1\)\(C\ 1\ m\ 1\)
312\(b2\)A -2y\(C\ m\ =\ A\ 1\ m\ 1\)\(A\ 1\ m\ 1\)
323\(b3\)I -2y\(C\ m\ =\ I\ 1\ m\ 1\)\(I\ 1\ m\ 1\)
334\(c1\)A -2\(C\ m\ =\ A\ 1\ 1\ m\)\(A\ 1\ 1\ m\)
345\(c2\)B -2\(C\ m\ =\ B\ 1\ 1\ m\ =\ B\ m\)\(B\ 1\ 1\ m\)
356\(c3\)I -2\(C\ m\ =\ I\ 1\ 1\ m\)\(I\ 1\ 1\ m\)
367\(a1\)B -2x\(C\ m\ =\ B\ m\ 1\ 1\)\(B\ m\ 1\ 1\)
378\(a2\)C -2x\(C\ m\ =\ C\ m\ 1\ 1\)\(C\ m\ 1\ 1\)
389\(a3\)I -2x\(C\ m\ =\ I\ m\ 1\ 1\)\(I\ m\ 1\ 1\)
3991\(b1\)C -2yc\(C_s^4\)\(C\ c\ =\ C\ 1\ c\ 1\)\(C\ 1\ c\ 1\)
402\(b2\)A -2yac\(C\ c\ =\ A\ 1\ n\ 1\)\(A\ 1\ n\ 1\)
413\(b3\)I -2ya\(C\ c\ =\ I\ 1\ a\ 1\)\(I\ 1\ a\ 1\)
424\(\bar{b}1\)A -2ya\(C\ c\ =\ A\ 1\ a\ 1\)\(A\ 1\ a\ 1\)
435\(\bar{b}2\)C -2ybc\(C\ c\ =\ C\ 1\ n\ 1\)\(C\ 1\ n\ 1\)
446\(\bar{b}3\)I -2yc\(C\ c\ =\ I\ 1\ c\ 1\)\(I\ 1\ c\ 1\)
457\(c1\)A -2a\(C\ c\ =\ A\ 1\ 1\ a\)\(A\ 1\ 1\ a\)
468\(c2\)B -2bc\(C\ c\ =\ B\ 1\ 1\ n\)\(B\ 1\ 1\ n\)
479\(c3\)I -2b\(C\ c\ =\ I\ 1\ 1\ b\)\(I\ 1\ 1\ b\)
4810\(\bar{c}1\)B -2b\(C\ c\ =\ B\ 1\ 1\ b\ =\ B\ b\)\(B\ 1\ 1\ b\)
4911\(\bar{c}2\)A -2ac\(C\ c\ =\ A\ 1\ 1\ n\)\(A\ 1\ 1\ n\)
5012\(\bar{c}3\)I -2a\(C\ c\ =\ I\ 1\ 1\ a\)\(I\ 1\ 1\ a\)
5113\(a1\)B -2xb\(C\ c\ =\ B\ b\ 1\ 1\)\(B\ b\ 1\ 1\)
5214\(a2\)C -2xbc\(C\ c\ =\ C\ n\ 1\ 1\)\(C\ n\ 1\ 1\)
5315\(a3\)I -2xc\(C\ c\ =\ I\ c\ 1\ 1\)\(I\ c\ 1\ 1\)
5416\(\bar{a}1\)C -2xc\(C\ c\ =\ C\ c\ 1\ 1\)\(C\ c\ 1\ 1\)
5517\(\bar{a}2\)B -2xbc\(C\ c\ =\ B\ n\ 1\ 1\)\(B\ n\ 1\ 1\)
5618\(\bar{a}3\)I -2xb\(C\ c\ =\ I\ b\ 1\ 1\)\(I\ b\ 1\ 1\)
57101\(b\)-P 2y\(C_{2h}^1\)\(P\ 2/m\ =\ P\ 1\ 2/m\ 1\)\(P\ 1\ 2/m\ 1\)5\(2/m\)\(C_{2h}\)
582\(c\)-P 2\(P\ 2/m\ =\ P\ 1\ 1\ 2/m\)\(P\ 1\ 1\ 2/m\)
593\(a\)-P 2x\(P\ 2/m\ =\ P\ 2/m\ 1\ 1\)\(P\ 2/m\ 1\ 1\)
60111\(b\)-P 2yb\(C_{2h}^2\)\(P\ 2_1/m\ =\ P\ 1\ 2_1/m\ 1\)\(P\ 1\ 2_1/m\ 1\)
612\(c\)-P 2c\(P\ 2_1/m\ =\ P\ 1\ 1\ 2_1/m\)\(P\ 1\ 1\ 2_1/m\)
623\(a\)-P 2xa\(P\ 2_1/m\ =\ P\ 2_1/m\ 1\ 1\)\(P\ 2_1/m\ 1\ 1\)
63121\(b1\)-C 2y\(C_{2h}^3\)\(C\ 2/m\ =\ C\ 1\ 2/m\ 1\)\(C\ 1\ 2/m\ 1\)
642\(b2\)-A 2y\(C\ 2/m\ =\ A\ 1\ 2/m\ 1\)\(A\ 1\ 2/m\ 1\)
653\(b3\)-I 2y\(C\ 2/m\ =\ I\ 1\ 2/m\ 1\)\(I\ 1\ 2/m\ 1\)
664\(c1\)-A 2\(C\ 2/m\ =\ A\ 1\ 1\ 2/m\)\(A\ 1\ 1\ 2/m\)
675\(c2\)-B 2\(C\ 2/m\ =\ B\ 1\ 1\ 2/m\ =\ B\ 2/m\)\(B\ 1\ 1\ 2/m\)
686\(c3\)-I 2\(C\ 2/m\ =\ I\ 1\ 1\ 2/m\)\(I\ 1\ 1\ 2/m\)
697\(a1\)-B 2x\(C\ 2/m\ =\ B\ 2/m\ 1\ 1\)\(B\ 2/m\ 1\ 1\)
708\(a2\)-C 2x\(C\ 2/m\ =\ C\ 2/m\ 1\ 1\)\(C\ 2/m\ 1\ 1\)
719\(a3\)-I 2x\(C\ 2/m\ =\ I\ 2/m\ 1\ 1\)\(I\ 2/m\ 1\ 1\)
72131\(b1\)-P 2yc\(C_{2h}^4\)\(P\ 2/c\ =\ P\ 1\ 2/c\ 1\)\(P\ 1\ 2/c\ 1\)
732\(b2\)-P 2yac\(P\ 2/c\ =\ P\ 1\ 2/n\ 1\)\(P\ 1\ 2/n\ 1\)
743\(b3\)-P 2ya\(P\ 2/c\ =\ P\ 1\ 2/a\ 1\)\(P\ 1\ 2/a\ 1\)
754\(c1\)-P 2a\(P\ 2/c\ =\ P\ 1\ 1\ 2/a\)\(P\ 1\ 1\ 2/a\)
765\(c2\)-P 2ab\(P\ 2/c\ =\ P\ 1\ 1\ 2/n\)\(P\ 1\ 1\ 2/n\)
776\(c3\)-P 2b\(P\ 2/c\ =\ P\ 1\ 1\ 2/b\ =\ P\ 2/b\)\(P\ 1\ 1\ 2/b\)
787\(a1\)-P 2xb\(P\ 2/c\ =\ P\ 2/b\ 1\ 1\)\(P\ 2/b\ 1\ 1\)
798\(a2\)-P 2xbc\(P\ 2/c\ =\ P\ 2/n\ 1\ 1\)\(P\ 2/n\ 1\ 1\)
809\(a3\)-P 2xc\(P\ 2/c\ =\ P\ 2/c\ 1\ 1\)\(P\ 2/c\ 1\ 1\)
81141\(b1\)-P 2ybc\(C_{2h}^5\)\(P\ 2_1/c\ =\ P\ 1\ 2_1/c\ 1\)\(P\ 1\ 2_1/c\ 1\)
822\(b2\)-P 2yn\(P\ 2_1/c\ =\ P\ 1\ 2_1/n\ 1\)\(P\ 1\ 2_1/n\ 1\)
833\(b3\)-P 2yab\(P\ 2_1/c\ =\ P\ 1\ 2_1/a\ 1\)\(P\ 1\ 2_1/a\ 1\)
844\(c1\)-P 2ac\(P\ 2_1/c\ =\ P\ 1\ 1\ 2_1/a\)\(P\ 1\ 1\ 2_1/a\)
855\(c2\)-P 2n\(P\ 2_1/c\ =\ P\ 1\ 1\ 2_1/n\)\(P\ 1\ 1\ 2_1/n\)
866\(c3\)-P 2bc\(P\ 2_1/c\ =\ P\ 1\ 1\ 2_1/b\ =\ P\ 2_1/b\)\(P\ 1\ 1\ 2_1/b\)
877\(a1\)-P 2xab\(P\ 2_1/c\ =\ P\ 2_1/b\ 1\ 1\)\(P\ 2_1/b\ 1\ 1\)
888\(a2\)-P 2xn\(P\ 2_1/c\ =\ P\ 2_1/n\ 1\ 1\)\(P\ 2_1/n\ 1\ 1\)
899\(a3\)-P 2xac\(P\ 2_1/c\ =\ P\ 2_1/c\ 1\ 1\)\(P\ 2_1/c\ 1\ 1\)
90151\(b1\)-C 2yc\(C_{2h}^6\)\(C\ 2/c\ =\ C\ 1\ 2/c\ 1\)\(C\ 1\ 2/c\ 1\)
912\(b2\)-A 2yac\(C\ 2/c\ =\ A\ 1\ 2/n\ 1\)\(A\ 1\ 2/n\ 1\)
923\(b3\)-I 2ya\(C\ 2/c\ =\ I\ 1\ 2/a\ 1\)\(I\ 1\ 2/a\ 1\)
934\(\bar{b}1\)-A 2ya\(C\ 2/c\ =\ A\ 1\ 2/a\ 1\)\(A\ 1\ 2/a\ 1\)
945\(\bar{b}2\)-C 2ybc\(C\ 2/c\ =\ C\ 1\ 2/n\ 1\)\(C\ 1\ 2/n\ 1\)
956\(\bar{b}3\)-I 2yc\(C\ 2/c\ =\ I\ 1\ 2/c\ 1\)\(I\ 1\ 2/c\ 1\)
967\(c1\)-A 2a\(C\ 2/c\ =\ A\ 1\ 1\ 2/a\)\(A\ 1\ 1\ 2/a\)
978\(c2\)-B 2bc\(C\ 2/c\ =\ B\ 1\ 1\ 2/n\)\(B\ 1\ 1\ 2/n\)
989\(c3\)-I 2b\(C\ 2/c\ =\ I\ 1\ 1\ 2/b\)\(I\ 1\ 1\ 2/b\)
9910\(\bar{c}1\)-B 2b\(C\ 2/c\ =\ B\ 1\ 1\ 2/b\ =\ B\ 2/b\)\(B\ 1\ 1\ 2/b\)
10011\(\bar{c}2\)-A 2ac\(C\ 2/c\ =\ A\ 1\ 1\ 2/n\)\(A\ 1\ 1\ 2/n\)
10112\(\bar{c}3\)-I 2a\(C\ 2/c\ =\ I\ 1\ 1\ 2/a\)\(I\ 1\ 1\ 2/a\)
10213\(a1\)-B 2xb\(C\ 2/c\ =\ B\ 2/b\ 1\ 1\)\(B\ 2/b\ 1\ 1\)
10314\(a2\)-C 2xbc\(C\ 2/c\ =\ C\ 2/n\ 1\ 1\)\(C\ 2/n\ 1\ 1\)
10415\(a3\)-I 2xc\(C\ 2/c\ =\ I\ 2/c\ 1\ 1\)\(I\ 2/c\ 1\ 1\)
10516\(\bar{a}1\)-C 2xc\(C\ 2/c\ =\ C\ 2/c\ 1\ 1\)\(C\ 2/c\ 1\ 1\)
10617\(\bar{a}2\)-B 2xbc\(C\ 2/c\ =\ B\ 2/n\ 1\ 1\)\(B\ 2/n\ 1\ 1\)
10718\(\bar{a}3\)-I 2xb\(C\ 2/c\ =\ I\ 2/b\ 1\ 1\)\(I\ 2/b\ 1\ 1\)

Orthorhombic 直方晶系

Crystal System No.: 3

Laue Class: \(mmm\)

Laue Class No.: 2

注: HM symbolが 2つ書かれている空間群があります (ITA Nos. 39, 41, 64, 67)。上段がITA 4thまでの表記で、後段が5th以降の表記です。

Serial No.ITA No.Sub No.Axes, OriginHall symbolSch symbolHM symbol (short)HM symbol (full)PG No.PG (HM)PG (Sch.)
108161P 2 2\(D_2^1\)\(P\ 2\ 2\ 2\)\(P\ 2\ 2\ 2\)6\(2\ 2\ 2\)\(D_2\)
109171P 2c 2\(D_2^2\)\(P\ 2\ 2\ 2_1\)\(P\ 2\ 2\ 2_1\)
1102\(cab\)P 2a 2a\(P\ 2_1\ 2\ 2\)\(P\ 2_1\ 2\ 2\)
1113\(bca\)P 2 2b\(P\ 2\ 2_1\ 2\)\(P\ 2\ 2_1\ 2\)
112181P 2 2ab\(D_2^3\)\(P\ 2_1\ 2_1\ 2\)\(P\ 2_1\ 2_1\ 2\)
1132\(cab\)P 2bc 2\(P\ 2\ 2_1\ 2_1\)\(P\ 2\ 2_1\ 2_1\)
1143\(bca\)P 2ac 2ac\(P\ 2_1\ 2\ 2_1\)\(P\ 2_1\ 2\ 2_1\)
115191P 2ac 2ab\(D_2^4\)\(P\ 2_1\ 2_1\ 2_1\)\(P\ 2_1\ 2_1\ 2_1\)
116201C 2c 2\(D_2^5\)\(C\ 2\ 2\ 2_1\)\(C\ 2\ 2\ 2_1\)
1172\(cab\)A 2a 2a\(A\ 2_1\ 2\ 2\)\(A\ 2_1\ 2\ 2\)
1183\(bca\)B 2 2b\(B\ 2\ 2_1\ 2\)\(B\ 2\ 2_1\ 2\)
119211C 2 2\(D_2^6\)\(C\ 2\ 2\ 2\)\(C\ 2\ 2\ 2\)
1202\(cab\)A 2 2\(A\ 2\ 2\ 2\)\(A\ 2\ 2\ 2\)
1213\(bca\)B 2 2\(B\ 2\ 2\ 2\)\(B\ 2\ 2\ 2\)
122221F 2 2\(D_2^7\)\(F\ 2\ 2\ 2\)\(F\ 2\ 2\ 2\)
123231I 2 2\(D_2^8\)\(I\ 2\ 2\ 2\)\(I\ 2\ 2\ 2\)
124241I 2b 2c\(D_2^9\)\(I\ 2_1\ 2_1\ 2_1\)\(I\ 2_1\ 2_1\ 2_1\)
125251P 2 -2\(C_{2v}^1\)\(P\ m\ m\ 2\)\(P\ m\ m\ 2\)7\(m\ m\ 2\)\(C_{2v}\)
1262\(cab\)P -2 2\(P\ 2\ m\ m\)\(P\ 2\ m\ m\)
1273\(bca\)P -2 -2\(P\ m\ 2\ m\)\(P\ m\ 2\ m\)
128261P 2c -2\(C_{2v}^2\)\(P\ m\ c\ 2_1\)\(P\ m\ c\ 2_1\)
1292\(ba\bar{c}\)P 2c -2c\(P\ c\ m\ 2_1\)\(P\ c\ m\ 2_1\)
1303\(cab\)P -2a 2a\(P\ 2_1\ m\ a\)\(P\ 2_1\ m\ a\)
1314\(\bar{c}ba\)P -2 2a\(P\ 2_1\ a\ m\)\(P\ 2_1\ a\ m\)
1325\(bca\)P -2 -2b\(P\ b\ 2_1\ m\)\(P\ b\ 2_1\ m\)
1336\(a\bar{c}b\)P -2b -2\(P\ m\ 2_1\ b\)\(P\ m\ 2_1\ b\)
134271P 2 -2c\(C_{2v}^3\)\(P\ c\ c\ 2\)\(P\ c\ c\ 2\)
1352\(cab\)P -2a 2\(P\ 2\ a\ a\)\(P\ 2\ a\ a\)
1363\(bca\)P -2b -2b\(P\ b\ 2\ b\)\(P\ b\ 2\ b\)
137281P 2 -2a\(C_{2v}^4\)\(P\ m\ a\ 2\)\(P\ m\ a\ 2\)
1382\(ba\bar{c}\)P 2 -2b\(P\ b\ m\ 2\)\(P\ b\ m\ 2\)
1393\(cab\)P -2b 2\(P\ 2\ m\ b\)\(P\ 2\ m\ b\)
1404\(\bar{c}ba\)P -2c 2\(P\ 2\ c\ m\)\(P\ 2\ c\ m\)
1415\(bca\)P -2c -2c\(P\ c\ 2\ m\)\(P\ c\ 2\ m\)
1426\(a\bar{c}b\)P -2a -2a\(P\ m\ 2\ a\)\(P\ m\ 2\ a\)
143291P 2c -2ac\(C_{2v}^5\)\(P\ c\ a\ 2_1\)\(P\ c\ a\ 2_1\)
1442\(ba\bar{c}\)P 2c -2b\(P\ b\ c\ 2_1\)\(P\ b\ c\ 2_1\)
1453\(cab\)P -2b 2a\(P\ 2_1\ a\ b\)\(P\ 2_1\ a\ b\)
1464\(\bar{c}ba\)P -2ac 2a\(P\ 2_1\ c\ a\)\(P\ 2_1\ c\ a\)
1475\(bca\)P -2bc -2c\(P\ c\ 2_1\ b\)\(P\ c\ 2_1\ b\)
1486\(a\bar{c}b\)P -2a -2ab\(P\ b\ 2_1\ a\)\(P\ b\ 2_1\ a\)
149301P 2 -2bc\(C_{2v}^6\)\(P\ n\ c\ 2\)\(P\ n\ c\ 2\)
1502\(ba\bar{c}\)P 2 -2ac\(P\ c\ n\ 2\)\(P\ c\ n\ 2\)
1513\(cab\)P -2ac 2\(P\ 2\ n\ a\)\(P\ 2\ n\ a\)
1524\(\bar{c}ba\)P -2ab 2\(P\ 2\ a\ n\)\(P\ 2\ a\ n\)
1535\(bca\)P -2ab -2ab\(P\ b\ 2\ n\)\(P\ b\ 2\ n\)
1546\(a\bar{c}b\)P -2bc -2bc\(P\ n\ 2\ b\)\(P\ n\ 2\ b\)
155311P 2ac -2\(C_{2v}^7\)\(P\ m\ n\ 2_1\)\(P\ m\ n\ 2_1\)
1562\(ba\bar{c}\)P 2bc -2bc\(P\ n\ m\ 2_1\)\(P\ n\ m\ 2_1\)
1573\(cab\)P -2ab 2ab\(P\ 2_1\ m\ n\)\(P\ 2_1\ m\ n\)
1584\(\bar{c}ba\)P -2 2ac\(P\ 2_1\ n\ m\)\(P\ 2_1\ n\ m\)
1595\(bca\)P -2 -2bc\(P\ n\ 2_1\ m\)\(P\ n\ 2_1\ m\)
1606\(a\bar{c}b\)P -2ab -2\(P\ m\ 2_1\ n\)\(P\ m\ 2_1\ n\)
161321P 2 -2ab\(C_{2v}^8\)\(P\ b\ a\ 2\)\(P\ b\ a\ 2\)
1622\(cab\)P -2bc 2\(P\ 2\ c\ b\)\(P\ 2\ c\ b\)
1633\(bca\)P -2ac -2ac\(P\ c\ 2\ a\)\(P\ c\ 2\ a\)
164331P 2c -2n\(C_{2v}^9\)\(P\ n\ a\ 2_1\)\(P\ n\ a\ 2_1\)
1652\(ba\bar{c}\)P 2c -2ab\(P\ b\ n\ 2_1\)\(P\ b\ n\ 2_1\)
1663\(cab\)P -2bc 2a\(P\ 2_1\ n\ b\)\(P\ 2_1\ n\ b\)
1674\(\bar{c}ba\)P -2n 2a\(P\ 2_1\ c\ n\)\(P\ 2_1\ c\ n\)
1685\(bca\)P -2n -2ac\(P\ c\ 2_1\ n\)\(P\ c\ 2_1\ n\)
1696\(a\bar{c}b\)P -2ac -2n\(P\ n\ 2_1\ a\)\(P\ n\ 2_1\ a\)
170341P 2 -2n\(C_{2v}^{10}\)\(P\ n\ n\ 2\)\(P\ n\ n\ 2\)
1712\(cab\)P -2n 2\(P\ 2\ n\ n\)\(P\ 2\ n\ n\)
1723\(bca\)P -2n -2n\(P\ n\ 2\ n\)\(P\ n\ 2\ n\)
173351C 2 -2\(C_{2v}^{11}\)\(C\ m\ m\ 2\)\(C\ m\ m\ 2\)
1742\(cab\)A -2 2\(A\ 2\ m\ m\)\(A\ 2\ m\ m\)
1753\(bca\)B -2 -2\(B\ m\ 2\ m\)\(B\ m\ 2\ m\)
176361C 2c -2\(C_{2v}^{12}\)\(C\ m\ c\ 2_1\)\(C\ m\ c\ 2_1\)
1772\(ba\bar{c}\)C 2c -2c\(C\ c\ m\ 2_1\)\(C\ c\ m\ 2_1\)
1783\(cab\)A -2a 2a\(A\ 2_1\ m\ a\)\(A\ 2_1\ m\ a\)
1794\(\bar{c}ba\)A -2 2a\(A\ 2_1\ a\ m\)\(A\ 2_1\ a\ m\)
1805\(bca\)B -2 -2b\(B\ b\ 2_1\ m\)\(B\ b\ 2_1\ m\)
1816\(a\bar{c}b\)B -2b -2\(B\ m\ 2_1\ b\)\(B\ m\ 2_1\ b\)
182371C 2 -2c\(C_{2v}^{13}\)\(C\ c\ c\ 2\)\(C\ c\ c\ 2\)
1832\(cab\)A -2a 2\(A\ 2\ a\ a\)\(A\ 2\ a\ a\)
1843\(bca\)B -2b -2b\(B\ b\ 2\ b\)\(B\ b\ 2\ b\)
185381A 2 -2\(C_{2v}^{14}\)\(A\ m\ m\ 2\)\(A\ m\ m\ 2\)
1862\(ba\bar{c}\)B 2 -2\(B\ m\ m\ 2\)\(B\ m\ m\ 2\)
1873\(cab\)B -2 2\(B\ 2\ m\ m\)\(B\ 2\ m\ m\)
1884\(\bar{c}ba\)C -2 2\(C\ 2\ m\ m\)\(C\ 2\ m\ m\)
1895\(bca\)C -2 -2\(C\ m\ 2\ m\)\(C\ m\ 2\ m\)
1906\(a\bar{c}b\)A -2 -2\(A\ m\ 2\ m\)\(A\ m\ 2\ m\)
191391A 2 -2c\(C_{2v}^{15}\)\(A\ b\ m\ 2\)
\(A\ e\ m\ 2\)		\(A\ b\ m\ 2\)
\(A\ e\ m\ 2\)
1922\(ba\bar{c}\)B 2 -2c\(B\ m\ a\ 2\)
\(B\ m\ e\ 2\)		\(B\ m\ a\ 2\)
\(B\ m\ e\ 2\)
1933\(cab\)B -2c 2\(B\ 2\ c\ m\)
\(B\ 2\ e\ m\)		\(B\ 2\ c\ m\)
\(B\ 2\ e\ m\)
1944\(\bar{c}ba\)C -2b 2\(C\ 2\ m\ b\)
\(C\ 2\ m\ e\)		\(C\ 2\ m\ b\)
\(C\ 2\ m\ e\)
1955\(bca\)C -2b -2b\(C\ m\ 2\ a\)
\(C\ m\ 2\ e\)		\(C\ m\ 2\ a\)
\(C\ m\ 2\ e\)
1966\(a\bar{c}b\)A -2c -2c\(A\ c\ 2\ m\)
\(A\ e\ 2\ m\)		\(A\ c\ 2\ m\)
\(A\ e\ 2\ m\)
197401A 2 -2a\(C_{2v}^{16}\)\(A\ m\ a\ 2\)\(A\ m\ a\ 2\)
1982\(ba\bar{c}\)B 2 -2b\(B\ b\ m\ 2\)\(B\ b\ m\ 2\)
1993\(cab\)B -2b 2\(B\ 2\ m\ b\)\(B\ 2\ m\ b\)
2004\(\bar{c}ba\)C -2c 2\(C\ 2\ c\ m\)\(C\ 2\ c\ m\)
2015\(bca\)C -2c -2c\(C\ c\ 2\ m\)\(C\ c\ 2\ m\)
2026\(a\bar{c}b\)A -2a -2a\(A\ m\ 2\ a\)\(A\ m\ 2\ a\)
203411A 2 -2ac\(C_{2v}^{17}\)\(A\ b\ a\ 2\)
\(A\ e\ a\ 2\)		\(A\ b\ a\ 2\)
\(A\ e\ a\ 2\)
2042\(ba\bar{c}\)B 2 -2bc\(B\ b\ a\ 2\)
\(B\ b\ e\ 2 \)		\(B\ b\ a\ 2\)
\(B\ b\ e\ 2 \)
2053\(cab\)B -2bc 2\(B\ 2\ c\ b\)
\(B\ 2\ e\ b\)		\(B\ 2\ c\ b\)
\(B\ 2\ e\ b\)
2064\(\bar{c}ba\)C -2bc 2\(C\ 2\ c\ b\)
\(C\ 2\ c\ e\)		\(C\ 2\ c\ b\)
\(C\ 2\ c\ e\)
2075\(bca\)C -2bc -2bc\(C\ c\ 2\ a\)
\(C\ c\ 2\ e\)		\(C\ c\ 2\ a\)
\(C\ c\ 2\ e\)
2086\(a\bar{c}b\)A -2ac -2ac\(A\ c\ 2\ a\)
\(A\ e\ 2\ a\)		\(A\ c\ 2\ a\)
\(A\ e\ 2\ a\)
209421F 2 -2\(C_{2v}^{18}\)\(F\ m\ m\ 2\)\(F\ m\ m\ 2\)
2102\(cab\)F -2 2\(F\ 2\ m\ m\)\(F\ 2\ m\ m\)
2113\(bca\)F -2 -2\(F\ m\ 2\ m\)\(F\ m\ 2\ m\)
212431F 2 -2d\(C_{2v}^{19}\)\(F\ d\ d\ 2\)\(F\ d\ d\ 2\)
2132\(cab\)F -2d 2\(F\ 2\ d\ d\)\(F\ 2\ d\ d\)
2143\(bca\)F -2d -2d\(F\ d\ 2\ d\)\(F\ d\ 2\ d\)
215441I 2 -2\(C_{2v}^{20}\)\(I\ m\ m\ 2\)\(I\ m\ m\ 2\)
2162\(cab\)I -2 2\(I\ 2\ m\ m\)\(I\ 2\ m\ m\)
2173\(bca\)I -2 -2\(I\ m\ 2\ m\)\(I\ m\ 2\ m\)
218451I 2 -2c\(C_{2v}^{21}\)\(I\ b\ a\ 2\)\(I\ b\ a\ 2\)
2192\(cab\)I -2a 2\(I\ 2\ c\ b\)\(I\ 2\ c\ b\)
2203\(bca\)I -2b -2b\(I\ c\ 2\ a\)\(I\ c\ 2\ a\)
221461I 2 -2a\(C_{2v}^{22}\)\(I\ m\ a\ 2\)\(I\ m\ a\ 2\)
2222\(ba\bar{c}\)I 2 -2b\(I\ b\ m\ 2\)\(I\ b\ m\ 2\)
2233\(cab\)I -2b 2\(I\ 2\ m\ b\)\(I\ 2\ m\ b\)
2244\(\bar{c}ba\)I -2c 2\(I\ 2\ c\ m\)\(I\ 2\ c\ m\)
2255\(bca\)I -2c -2c\(I\ c\ 2\ m\)\(I\ c\ 2\ m\)
2266\(a\bar{c}b\)I -2a -2a\(I\ m\ 2\ a\)\(I\ m\ 2\ a\)
227471-P 2 2\(D_{2h}^1\)\(P\ m\ m\ m\)\(P\ 2/m\ 2/m\ 2/m\)8\(m\ m\ m\)\(D_{2h}\)
228481\(1\)P 2 2 -1n\(D_{2h}^2\)\(P\ n\ n\ n\)\(P\ 2/n\ 2/n\ 2/n\)
2292\(2\)-P 2ab 2bc
230491-P 2 2c\(D_{2h}^3\)\(P\ c\ c\ m\)\(P\ 2/c\ 2/c\ 2/m\)
2312\(cab\)-P 2a 2\(P\ m\ a\ a\)\(P\ 2/m\ 2/a\ 2/a\)
2323\(bca\)-P 2b 2b\(P\ b\ m\ b\)\(P\ 2/b\ 2/m\ 2/b\)
233501\(1\)P 2 2 -1ab\(D_{2h}^4\)\(P\ b\ a\ n\)\(P\ 2/b\ 2/a\ 2/n\)
2342\(2\)-P 2ab 2b
2353\(1cab\)P 2 2 -1bc\(P\ n\ c\ b\)\(P\ 2/n\ 2/c\ 2/b\)
2364\(2cab\)-P 2b 2bc
2375\(1bca\)P 2 2 -1ac\(P\ c\ n\ a\)\(P\ 2/c\ 2/n\ 2/a\)
2386\(2bca\)-P 2a 2c
239511-P 2a 2a\(D_{2h}^5\)\(P\ m\ m\ a\)\(P\ 2_1/m\ 2/m\ 2/a\)
2402\(ba\bar{c}\)-P 2b 2\(P\ m\ m\ b\)\(P\ 2/m\ 2_1/m\ 2/b\)
2413\(cab\)-P 2 2b\(P\ b\ m\ m\)\(P\ 2/b\ 2_1/m\ 2/m\)
2424\(\bar{c}ba\)-P 2c 2c\(P\ c\ m\ m\)\(P\ 2/c\ 2/m\ 2_1/m\)
2435\(bca\)-P 2c 2\(P\ m\ c\ m\)\(P\ 2/m\ 2/c\ 2_1/m\)
2446\(a\bar{c}b\)-P 2 2a\(P\ m\ a\ m\)\(P\ 2_1/m\ 2/a\ 2/m\)
245521-P 2a 2bc\(D_{2h}^6\)\(P\ n\ n\ a\)\(P\ 2/n\ 2_1/n\ 2/a\)
2462\(ba\bar{c}\)-P 2b 2n\(P\ n\ n\ b\)\(P\ 2_1/n\ 2/n\ 2/b\)
2473\(cab\)-P 2n 2b\(P\ b\ n\ n\)\(P\ 2/b\ 2/n\ 2_1/n\)
2484\(\bar{c}ba\)-P 2ab 2c\(P\ c\ n\ n\)\(P\ 2/c\ 2_1/n\ 2/n\)
2495\(bca\)-P 2ab 2n\(P\ n\ c\ n\)\(P\ 2_1/n\ 2/c\ 2/n\)
2506\(a\bar{c}b\)-P 2n 2bc\(P\ n\ a\ n\)\(P\ 2/n\ 2/a\ 2_1/n\)
251531-P 2ac 2\(D_{2h}^7\)\(P\ m\ n\ a\)\(P\ 2/m\ 2/n\ 2_1/a\)
2522\(ba\bar{c}\)-P 2bc 2bc\(P\ n\ m\ b\)\(P\ 2/n\ 2/m\ 2_1/b\)
2533\(cab\)-P 2ab 2ab\(P\ b\ m\ n\)\(P\ 2_1/b\ 2/m\ 2/n\)
2544\(\bar{c}ba\)-P 2 2ac\(P\ c\ n\ m\)\(P\ 2_1/c\ 2/n\ 2/m\)
2555\(bca\)-P 2 2bc\(P\ n\ c\ m\)\(P\ 2/n\ 2_1/c\ 2/m\)
2566\(a\bar{c}b\)-P 2ab 2\(P\ m\ a\ n\)\(P\ 2/m\ 2_1/a\ 2/n\)
257541-P 2a 2ac\(D_{2h}^8\)\(P\ c\ c\ a\)\(P\ 2_1/c\ 2/c\ 2/a\)
2582\(ba\bar{c}\)-P 2b 2c\(P\ c\ c\ b\)\(P\ 2/c\ 2_1/c\ 2/b\)
2593\(cab\)-P 2a 2b\(P\ b\ a\ a\)\(P\ 2/b\ 2_1/a\ 2/a\)
2604\(\bar{c}ba\)-P 2ac 2c\(P\ c\ a\ a\)\(P\ 2/c\ 2/a\ 2_1/a\)
2615\(bca\)-P 2bc 2b\(P\ b\ c\ b\)\(P\ 2/b\ 2/c\ 2_1/b\)
2626\(a\bar{c}b\)-P 2b 2ab\(P\ b\ a\ b\)\(P\ 2_1/b\ 2/a\ 2/b\)
263551-P 2 2ab\(D_{2h}^9\)\(P\ b\ a\ m\)\(P\ 2_1/b\ 2_1/a\ 2/m\)
2642\(cab\)-P 2bc 2\(P\ m\ c\ b\)\(P\ 2/m\ 2_1/c\ 2_1/b\)
2653\(bca\)-P 2ac 2ac\(P\ c\ m\ a\)\(P\ 2_1/c\ 2/m\ 2_1/a\)
266561-P 2ab 2ac\(D_{2h}^{10}\)\(P\ c\ c\ n\)\(P\ 2_1/c\ 2_1/c\ 2/n\)
2672\(cab\)-P 2ac 2bc\(P\ n\ a\ a\)\(P\ 2/n\ 2_1/a\ 2_1/a\)
2683\(bca\)-P 2bc 2ab\(P\ b\ n\ b\)\(P\ 2_1/b\ 2/n\ 2_1/b\)
269571-P 2c 2b\(D_{2h}^{11}\)\(P\ b\ c\ m\)\(P\ 2/b\ 2_1/c\ 2_1/m\)
2702\(ba\bar{c}\)-P 2c 2ac\(P\ c\ a\ m\)\(P\ 2_1/c\ 2/a\ 2_1/m\)
2713\(cab\)-P 2ac 2a\(P\ m\ c\ a\)\(P\ 2_1/m\ 2/c\ 2_1/a\)
2724\(\bar{c}ba\)-P 2b 2a\(P\ m\ a\ b\)\(P\ 2_1/m\ 2_1/a\ 2/b\)
2735\(bca\)-P 2a 2ab\(P\ b\ m\ a\)\(P\ 2_1/b\ 2_1/m\ 2/a\)
2746\(a\bar{c}b\)-P 2bc 2c\(P\ c\ m\ b\)\(P\ 2/c\ 2_1/m\ 2_1/b\)
275581-P 2 2n\(D_{2h}^{12}\)\(P\ n\ n\ m\)\(P\ 2_1/n\ 2_1/n\ 2/m\)
2762\(cab\)-P 2n 2\(P\ m\ n\ n\)\(P\ 2/m\ 2_1/n\ 2_1/n\)
2773\(bca\)-P 2n 2n\(P\ n\ m\ n\)\(P\ 2_1/n\ 2/m\ 2_1/n\)
278591\(1\)P 2 2ab -1ab\(D_{2h}^{13}\)\(P\ m\ m\ n\)\(P\ 2_1/m\ 2_1/m\ 2/n\)
2792\(2\)-P 2ab 2a
2803\(1cab\)P 2bc 2 -1bc\(P\ n\ m\ m\)\(P\ 2/n\ 2_1/m\ 2_1/m\)
2814\(2cab\)-P 2c 2bc
2825\(1bca\)P 2ac 2ac -1ac\(P\ m\ n\ m\)\(P\ 2_1/m\ 2/n\ 2_1/m\)
2836\(2bca\)-P 2c 2a
284601-P 2n 2ab\(D_{2h}^{14}\)\(P\ b\ c\ n\)\(P\ 2_1/b\ 2/c\ 2_1/n\)
2852\(ba\bar{c}\)-P 2n 2c\(P\ c\ a\ n\)\(P\ 2/c\ 2_1/a\ 2_1/n\)
2863\(cab\)-P 2a 2n\(P\ n\ c\ a\)\(P\ 2_1/n\ 2_1/c\ 2/a\)
2874\(\bar{c}ba\)-P 2bc 2n\(P\ n\ a\ b\)\(P\ 2_1/n\ 2/a\ 2_1/b\)
2885\(bca\)-P 2ac 2b\(P\ b\ n\ a\)\(P\ 2/b\ 2_1/n\ 2_1/a\)
2896\(a\bar{c}b\)-P 2b 2ac\(P\ c\ n\ b\)\(P\ 2_1/c\ 2_1/n\ 2/b\)
290611-P 2ac 2ab\(D_{2h}^{15}\)\(P\ b\ c\ a\)\(P\ 2_1/b\ 2_1/c\ 2_1/a\)
2912\(ba\bar{c}\)-P 2bc 2ac\(P\ c\ a\ b\)\(P\ 2_1/c\ 2_1/a\ 2_1/b\)
292621-P 2ac 2n\(D_{2h}^{16}\)\(P\ n\ m\ a\)\(P\ 2_1/n\ 2_1/m\ 2_1/a\)
2932\(ba\bar{c}\)-P 2bc 2a\(P\ m\ n\ b\)\(P\ 2_1/m\ 2_1/n\ 2_1/b\)
2943\(cab\)-P 2c 2ab\(P\ b\ n\ m\)\(P\ 2_1/b\ 2_1/n\ 2_1/m\)
2954\(\bar{c}ba\)-P 2n 2ac\(P\ c\ m\ n\)\(P\ 2_1/c\ 2_1/m\ 2_1/n\)
2965\(bca\)-P 2n 2a\(P\ m\ c\ n\)\(P\ 2_1/m\ 2_1/c\ 2_1/n\)
2976\(a\bar{c}b\)-P 2c 2n\(P\ n\ a\ m\)\(P\ 2_1/n\ 2_1/a\ 2_1/m\)
298631-C 2c 2\(D_{2h}^{17}\)\(C\ m\ c\ m\)\(C\ 2/m\ 2/c\ 2_1/m\)
2992\(ba\bar{c}\)-C 2c 2c\(C\ c\ m\ m\)\(C\ 2/c\ 2/m\ 2_1/m\)
3003\(cab\)-A 2a 2a\(A\ m\ m\ a\)\(A\ 2_1/m\ 2/m\ 2/a\)
3014\(\bar{c}ba\)-A 2 2a\(A\ m\ a\ m\)\(A\ 2_1/m\ 2/a\ 2/m\)
3025\(bca\)-B 2 2b\(B\ b\ m\ m\)\(B\ 2/b\ 2_1/m\ 2/m\)
3036\(a\bar{c}b\)-B 2b 2\(B\ m\ m\ b\)\(B\ 2/m\ 2_1/m\ 2/b\)
304641-C 2bc 2\(D_{2h}^{18}\)\(C\ m\ c\ a\)
\(C\ m\ c\ e\)		\(C\ 2/m\ 2/c\ 2_1/a\)
\(C\ 2/m\ 2/c\ 2_1/e\)
3052\(ba\bar{c}\)-C 2bc 2bc\(C\ c\ m\ b\)
\(C\ c\ m\ e\)		\(C\ 2/c\ 2/m\ 2_1/b\)
\(C\ 2/c\ 2/m\ 2_1/e\)
3063\(cab\)-A 2ac 2ac\(A\ b\ m\ a\)
\(A\ e\ m\ a\)		\(A\ 2_1/b\ 2/m\ a\)
\(A\ 2_1/e\ 2/m\ a\)
3074\(\bar{c}ba\)-A 2 2ac\(A\ c\ a\ m\)
\(A\ e\ a\ m\)		\(A\ 2_1/c\ 2/a\ 2/m\)
\(A\ 2_1/e\ 2/a\ 2/m\)
3085\(bca\)-B 2 2bc\(B\ b\ c\ m\)
\(B\ b\ e\ m\)		\(B\ 2/b\ 2_1/c\ 2/m\)
\(B\ 2/b\ 2_1/e\ 2/m\)
3096\(a\bar{c}b\)-B 2bc 2\(B\ m\ a\ b\)
\(B\ m\ e\ b\)		\(B\ 2/m\ 2_1/a\ 2/b\)
\(B\ 2/m\ 2_1/e\ 2/b\)
310651-C 2 2\(D_{2h}^{19}\)\(C\ m\ m\ m\)\(C\ 2/m\ 2/m\ 2/m\)
3112\(cab\)-A 2 2\(A\ m\ m\ m\)\(A\ 2/m\ 2/m\ 2/m\)
3123\(bca\)-B 2 2\(B\ m\ m\ m\)\(B\ 2/m\ 2/m\ 2/m\)
313661-C 2 2c\(D_{2h}^{20}\)\(C\ c\ c\ m\)\(C\ 2/c\ 2/c\ 2/m\)
3142\(cab\)-A 2a 2\(A\ m\ a\ a\)\(A\ 2/m\ 2/a\ 2/a\)
3153\(bca\)-B 2b 2b\(B\ b\ m\ b\)\(B\ 2/b\ 2/m\ 2/b\)
316671-C 2b 2\(D_{2h}^{21}\)\(C\ m\ m\ a\)
\(C\ m\ m\ e\)		\(C\ 2/m\ 2/m\ 2/a\)
\(C\ 2/m\ 2/m\ 2/e\)
3172\(ba\bar{c}\)-C 2b 2b\(C\ m\ m\ b\)
\(C\ m\ m\ e\)		\(C\ 2/m\ 2/m\ 2/b\)
\(C\ 2/m\ 2/m\ 2/e\)
3183\(cab\)-A 2c 2c\(A\ b\ m\ m\)
\(A\ e\ m\ m\)		\(A\ 2/b\ 2/m\ 2/m\)
\(A\ 2/e\ 2/m\ 2/m\)
3194\(\bar{c}ba\)-A 2 2c\(A\ c\ m\ m\)
\(A\ e\ m\ m\)		\(A\ 2/c\ 2/m\ 2/m\)
\(A\ 2/e\ 2/m\ 2/m\)
3205\(bca\)-B 2 2c\(B\ m\ c\ m\)
\(B\ m\ e\ m\)		\(B\ 2/m\ 2/c\ 2/m\)
\(B\ 2/m\ 2/e\ 2/m\)
3216\(a\bar{c}b\)-B 2c 2\(B\ m\ a\ m\)
\(B\ m\ e\ m\)		\(B\ 2/m\ 2/a\ 2/m\)
\(B\ 2/m\ 2/e\ 2/m\)
322681\(1\)C 2 2 -1bc\(D_{2h}^{22}\)\(C\ c\ c\ a\)
\(C\ c\ c\ e\)		\(C\ 2/c\ 2/c\ 2/a\)
\(C\ 2/c\ 2/c\ 2/e\)
3232\(2\)-C 2b 2bc
3243\(1ba\bar{c}\)C 2 2 -1bc\(C\ c\ c\ b\)
\(C\ c\ c\ e\)		\(C\ 2/c\ 2/c\ 2/b\)
\(C\ 2/c\ 2/c\ 2/e\)
3254\(2ba\bar{c}\)-C 2b 2c
3265\(1cab\)A 2 2 -1ac\(A\ b\ a\ a\)
\(A\ e\ a\ a\)		\(A\ 2/b\ 2/a\ 2/a\)
\(A\ 2/e\ 2/a\ 2/a\)
3276\(2cab\)-A 2a 2c
3287\(1\bar{c}ba\)A 2 2 -1ac\(A\ c\ a\ a\)
\(A\ e\ a\ a\)		\(A\ 2/c\ 2/a\ 2/a\)
\(A\ 2/e\ 2/a\ 2/a\)
3298\(2\bar{c}ba\)-A 2ac 2c
3309\(1bca\)B 2 2 -1bc\(B\ b\ c\ b\)
\(B\ b\ e\ b\)		\(B\ 2/b\ 2/c\ 2/b\)
\(B\ 2/b\ 2/e\ 2/b\)
33110\(2bca\)-B 2bc 2b
33211\(1a\bar{c}b\)B 2 2 -1bc\(B\ b\ a\ b\)
\(B\ b\ e\ b\)		\(B\ 2/b\ 2/a\ 2/b\)
\(B\ 2/b\ 2/e\ 2/b\)
33312\(2a\bar{c}b\)-B 2b 2bc
334691-F 2 2\(D_{2h}^{23}\)\(F\ m\ m\ m\)\(F\ 2/m\ 2/m\ 2/m\)
335701\(1\)F 2 2 -1d\(D_{2h}^{24}\)\(F\ d\ d\ d\)\(F\ 2/d\ 2/d\ 2/d\)
3362\(2\)-F 2uv 2vw
337711-I 2 2\(D_{2h}^{25}\)\(I\ m\ m\ m\)\(I\ 2/m\ 2/m\ 2/m\)
338721-I 2 2c\(D_{2h}^{26}\)\(I\ b\ a\ m\)\(I\ 2/b\ 2/a\ 2/m\)
3392\(cab\)-I 2a 2\(I\ m\ c\ b\)\(I\ 2/m\ 2/c\ 2/b\)
3403\(bca\)-I 2b 2b\(I\ c\ m\ a\)\(I\ 2/c\ 2/m\ 2/a\)
341731-I 2b 2c\(D_{2h}^{27}\)\(I\ b\ c\ a\)\(I\ 2/b\ 2/c\ 2/a\)
3422\(ba\bar{c}\)-I 2a 2b\(I\ c\ a\ b\)\(I\ 2/c\ 2/a\ 2/b\)
343741-I 2b 2\(D_{2h}^{28}\)\(I\ m\ m\ a\)\(I\ 2/m\ 2/m\ 2/a\)
3442\(ba\bar{c}\)-I 2a 2a\(I\ m\ m\ b\)\(I\ 2/m\ 2/m\ 2/b\)
3453\(cab\)-I 2c 2c\(I\ b\ m\ m\)\(I\ 2/b\ 2/m\ 2/m\)
3464\(\bar{c}ba\)-I 2 2b\(I\ c\ m\ m\)\(I\ 2/c\ 2/m\ 2/m\)
3475\(bca\)-I 2 2a\(I\ m\ c\ m\)\(I\ 2/m\ 2/c\ 2/m\)
3486\(a\bar{c}b\)-I 2c 2\(I\ m\ a\ m\)\(I\ 2/m\ 2/a\ 2/m\)

Tetragonal 正方晶系

Crystal System No.: 4

Serial No.ITA No.Sub No.Axes, OriginHall symbolSch. symbolHM symbol (short)HM symbol (full)PG No.PG (HM)PG (Sch.)LC No.LC (HM)
349751P 4\(C_4^1\)\(P\ 4\)\(P\ 4\)9\(4\)\(C_4\)4\(4/m\)
350761P 4w\(C_4^2\)\(P\ 4_1\)\(P\ 4_1\)
351771P 4c\(C_4^3\)\(P\ 4_2\)\(P\ 4_2\)
352781P 4cw\(C_4^4\)\(P\ 4_3\)\(P\ 4_3\)
353791I 4\(C_4^5\)\(I\ 4\)\(I\ 4\)
354801I 4bw\(C_4^6\)\(I\ 4_1\)\(I\ 4_1\)
355811P -4\(S_4^1\)\(P\ \bar{4}\)\(P\ \bar{4}\)10\(\bar{4}\)\(S_4\)
356821I -4\(S_4^2\)\(I\ \bar{4}\)\(I\ \bar{4}\)
357831-P 4\(C_{4h}^1\)\(P\ 4/m\)\(P\ 4/m\)11\(4/m\)\(C_{4h}\)
358841-P 4c\(C_{4h}^2\)\(P\ 4_2/\ m\)\(P\ 4_2/m\)
359851\(1\)P 4ab -1ab\(C_{4h}^3\)\(P\ 4/n\)\(P\ 4/n\)
3602\(2\)-P 4a
361861\(1\)P 4n -1n\(C_{4h}^4\)\(P\ 4_2/\ n\)\(P\ 4_2/n\)
3622\(2\)-P 4bc
363871-I 4\(C_{4h}^5\)\(I\ 4/m\)\(I\ 4/m\)
364881\(1\)I 4bw -1bw\(C_{4h}^6\)\(I\ 4_1/\ a\)\(I\ 4_1/a\)
3652\(2\)-I 4ad
366891P 4 2\(D_4^1\)\(P\ 4\ 2\ 2\)\(P\ 4\ 2\ 2\)12\(4\ 2\ 2\)\(D_4\)5\(4/mmm\)
367901P 4ab 2ab\(D_4^2\)\(P\ 4\ 2_1\ 2\)\(P\ 4\ 2_1\ 2\)
368911P 4w 2c\(D_4^3\)\(P\ 4_1\ 2\ 2\)\(P\ 4_1\ 2\ 2\)
369921P 4abw 2nw\(D_4^4\)\(P\ 4_1\ 2_1\ 2\)\(P\ 4_1\ 2_1\ 2\)
370931P 4c 2\(D_4^5\)\(P\ 4_2\ 2\ 2\)\(P\ 4_2\ 2\ 2\)
371941P 4n 2n\(D_4^6\)\(P\ 4_2\ 2_1\ 2\)\(P\ 4_2\ 2_1\ 2\)
372951P 4cw 2c\(D_4^7\)\(P\ 4_3\ 2\ 2\)\(P\ 4_3\ 2\ 2\)
373961P 4nw 2abw\(D_4^8\)\(P\ 4_3\ 2_1\ 2\)\(P\ 4_3\ 2_1\ 2\)
374971I 4 2\(D_4^9\)\(I\ 4\ 2\ 2\)\(I\ 4\ 2\ 2\)
375981I 4bw 2bw\(D_4^{10}\)\(I\ 4_1\ 2\ 2\)\(I\ 4_1\ 2\ 2\)
376991P 4 -2\(C_{4v}^1\)\(P\ 4\ m\ m\)\(P\ 4\ m\ m\)13\(4\ m\ m\)\(C_{4v}\)
3771001P 4 -2ab\(C_{4v}^2\)\(P\ 4\ b\ m\)\(P\ 4\ b\ m\)
3781011P 4c -2c\(C_{4v}^3\)\(P\ 4_2\ c\ m\)\(P\ 4_2\ c\ m\)
3791021P 4n -2n\(C_{4v}^4\)\(P\ 4_2\ n\ m\)\(P\ 4_2\ n\ m\)
3801031P 4 -2c\(C_{4v}^5\)\(P\ 4\ c\ c\)\(P\ 4\ c\ c\)
3811041P 4 -2n\(C_{4v}^6\)\(P\ 4\ n\ c\)\(P\ 4\ n\ c\)
3821051P 4c -2\(C_{4v}^7\)\(P\ 4_2\ m\ c\)\(P\ 4_2\ m\ c\)
3831061P 4c -2ab\(C_{4v}^8\)\(P\ 4_2\ b\ c\)\(P\ 4_2\ b\ c\)
3841071I 4 -2\(C_{4v}^9\)\(I\ 4\ m\ m\)\(I\ 4\ m\ m\)
3851081I 4 -2c\(C_{4v}^{10}\)\(I\ 4\ c\ m\)\(I\ 4\ c\ m\)
3861091I 4bw -2\(C_{4v}^{11}\)\(I\ 4_1\ m\ d\)\(I\ 4_1\ m\ d\)
3871101I 4bw -2c\(C_{4v}^{12}\)\(I\ 4_1\ c\ d\)\(I\ 4_1\ c\ d\)
3881111P -4 2\(D_{2d}^1\)\(P\ \bar{4}\ 2\ m\)\(P\ \bar{4}\ 2\ m\)14\(\bar{4}\ 2\ m\)\(D_{2d}\)
3891121P -4 2c\(D_{2d}^2\)\(P\ \bar{4}\ 2\ c\)\(P\ \bar{4}\ 2\ c\)
3901131P -4 2ab\(D_{2d}^3\)\(P\ \bar{4}\ 2_1\ m\)\(P\ \bar{4}\ 2_1\ m\)
3911141P -4 2n\(D_{2d}^4\)\(P\ \bar{4}\ 2_1\ c\)\(P\ \bar{4}\ 2_1\ c\)
3921151P -4 -2\(D_{2d}^5\)\(P\ \bar{4}\ m\ 2\)\(P\ \bar{4}\ m\ 2\)
3931161P -4 -2c\(D_{2d}^6\)\(P\ \bar{4}\ c\ 2\)\(P\ \bar{4}\ c\ 2\)
3941171P -4 -2ab\(D_{2d}^7\)\(P\ \bar{4}\ b\ 2\)\(P\ \bar{4}\ b\ 2\)
3951181P -4 -2n\(D_{2d}^8\)\(P\ \bar{4}\ n\ 2\)\(P\ \bar{4}\ n\ 2\)
3961191I -4 -2\(D_{2d}^9\)\(I\ \bar{4}\ m\ 2\)\(I\ \bar{4}\ m\ 2\)
3971201I -4 -2c\(D_{2d}^{10}\)\(I\ \bar{4}\ c\ 2\)\(I\ \bar{4}\ c\ 2\)
3981211I -4 2\(D_{2d}^{11}\)\(I\ \bar{4}\ 2\ m\)\(I\ \bar{4}\ 2\ m\)
3991221I -4 2bw\(D_{2d}^{12}\)\(I\ \bar{4}\ 2\ d\)\(I\ \bar{4}\ 2\ d\)
4001231-P 4 2\(D_{4h}^1\)\(P\ 4/m\ m\ m\)\(P\ 4/m\ 2/m\ 2/m\)15\(4/m\ m\ m\)\(D_{4h}\)
4011241-P 4 2c\(D_{4h}^2\)\(P\ 4/m\ c\ c\)\(P\ 4/m\ 2/c\ 2/c\)
4021251\(1\)P 4 2 -1ab\(D_{4h}^3\)\(P\ 4/n\ b\ m\)\(P\ 4/n\ 2/b\ 2/m\)
4032\(2\)-P 4a 2b
4041261\(1\)P 4 2 -1n\(D_{4h}^4\)\(P\ 4/n\ n\ c\)\(P\ 4/n\ 2/n\ 2/c\)
4052\(2\)-P 4a 2bc
4061271-P 4 2ab\(D_{4h}^5\)\(P\ 4/m\ b\ m\)\(P\ 4/m\ 2_1/b\ m\)
4071281-P 4 2n\(D_{4h}^6\)\(P\ 4/m\ n\ c\)\(P\ 4/m\ 2_1/n\ c\)
4081291\(1\)P 4ab 2ab -1ab\(D_{4h}^7\)\(P\ 4/n\ m\ m\)\(P\ 4/n\ 2_1/m\ m\)
4092\(2\)-P 4a 2a
4101301\(1\)P 4ab 2n -1ab\(D_{4h}^8\)\(P\ 4/n\ c\ c\)\(P\ 4/n\ 2_1/c\ c\)
4112\(2\)-P 4a 2ac
4121311-P 4c 2\(D_{4h}^9\)\(P\ 4_2/\ m\ m\ c\)\(P\ 4_2/m\ 2/m\ 2/c\)
4131321-P 4c 2c\(D_{4h}^{10}\)\(P\ 4_2/\ m\ c\ m\)\(P\ 4_2/m\ 2/c\ 2/m\)
4141331\(1\)P 4n 2c -1n\(D_{4h}^{11}\)\(P\ 4_2/\ n\ b\ c\)\(P\ 4_2/n\ 2/b\ 2/c\)
4152\(2\)-P 4ac 2b
4161341\(1\)P 4n 2 -1n\(D_{4h}^{12}\)\(P\ 4_2/\ n\ n\ m\)\(P\ 4_2/n\ 2/n\ 2/m\)
4172\(2\)-P 4ac 2bc
4181351-P 4c 2ab\(D_{4h}^{13}\)\(P\ 4_2/\ m\ b\ c\)\(P\ 4_2/m\ 2_1/b\ 2/c\)
4191361-P 4n 2n\(D_{4h}^{14}\)\(P\ 4_2/\ m\ n\ m\)\(P\ 4_2/m\ 2_1/n\ 2/m\)
4201371\(1\)P 4n 2n -1n\(D_{4h}^{15}\)\(P\ 4_2/\ n\ m\ c\)\(P\ 4_2/n\ 2_1/m\ 2/c\)
4212\(2\)-P 4ac 2a
4221381\(1\)P 4n 2ab -1n\(D_{4h}^{16}\)\(P\ 4_2/\ n\ c\ m\)\(P\ 4_2/n\ 2_1/c\ 2/m\)
4232\(2\)-P 4ac 2ac
4241391-I 4 2\(D_{4h}^{17}\)\(I\ 4/m\ m\ m\)\(I\ 4/m\ 2/m\ 2/m\)
4251401-I 4 2c\(D_{4h}^{18}\)\(I\ 4/m\ c\ m\)\(I\ 4/m\ 2/c\ 2/m\)
4261411\(1\)I 4bw 2bw -1bw\(D_{4h}^{19}\)\(I\ 4_1/\ a\ m\ d\)\(I\ 4_1/a\ 2/m\ 2/d\)
4272\(2\)-I 4bd 2
4281421\(1\)I 4bw 2aw -1bw\(D_{4h}^{20}\)\(I\ 4_1/\ a\ c\ d\)\(I\ 4_1/a\ 2/c\ 2/d\)
4292\(2\)-I 4bd 2c

Trigonal 三方晶系

Crystal System No.: 5

Serial No.ITA No.Sub No.Axes, OriginHall symbolSch. symbolHM symbol (short)HM symbol (full)PG No.PG (HM)PG (Sch.)LC No.LC (HM)
4301431P 3\(C_3^1\)\(P\ 3\)\(P\ 3\)16\(3\)\(C_{3}\)6\(\bar{3}\)
4311441P 31\(C_3^2\)\(P\ 3_1\)\(P\ 3_1\)
4321451P 32\(C_3^3\)\(P\ 3_2\)\(P\ 3_2\)
4331461\(H\)R 3\(C_3^4\)\(R\ 3\)\(R\ 3\)
4342\(R\)P 3*
4351471-P 3\(C_{3i}^1\)\(P\ \bar{3}\)\(P\ \bar{3}\)17\(\bar{3}\)\(C_{3i}\)
4361481\(H\)-R 3\(C_{3i}^2\)\(R\ \bar{3}\)\(R\ \bar{3}\)
4372\(R\)-P 3*
4381491P 3 2\(D_3^1\)\(P\ 3\ 1\ 2\)\(P\ 3\ 1\ 2\)18\(3\ 2\)\(D_3\)7\(\bar{3}2m\)
4391501P 3 2\\(D_3^2\)\(P\ 3\ 2\ 1\)\(P\ 3\ 2\ 1\)
4401511P 31 2c (0 0 1)\(D_3^3\)\(P\ 3_1\ 1\ 2\)\(P\ 3_1\ 1\ 2\)
4411521P 31 2\\(D_3^4\)\(P\ 3_1\ 2\ 1\)\(P\ 3_1\ 2\ 1\)
4421531P 32 2c (0 0 -1)\(D_3^5\)\(P\ 3_2\ 1\ 2\)\(P\ 3_2\ 1\ 2\)
4431541P 32 2\\(D_3^6\)\(P\ 3_2\ 2\ 1\)\(P\ 3_2\ 2\ 1\)
4441551\(H\)R 3 2\\(D_3^7\)\(R\ 3\ 2\)\(R\ 3\ 2\)
4452\(R\)P 3* 2
4461561P 3 -2\\(C_{3v}^1\)\(P\ 3\ m\ 1\)\(P\ 3\ m\ 1\)19\(3\ m\)\(C_{3v}\)
4471571P 3 -2\(C_{3v}^2\)\(P\ 3\ 1\ m\)\(P\ 3\ 1\ m\)
4481581P 3 -2\c\(C_{3v}^3\)\(P\ 3\ c\ 1\)\(P\ 3\ c\ 1\)
4491591P 3 -2c\(C_{3v}^4\)\(P\ 3\ 1\ c\)\(P\ 3\ 1\ c\)
4501601\(H\)R 3 -2\\(C_{3v}^5\)\(R\ 3\ m\)\(R\ 3\ m\)
4512\(R\)P 3* -2
4521611\(H\)R 3 -2\c\(C_{3v}^6\)\(R\ 3\ c\)\(R\ 3\ c\)
4532\(R\)P 3* -2n
4541621-P 3 2\(D_{3d}^1\)\(P\ \bar{3}\ \ 1\ m\)\(P\ \bar{3}\ 1\ 2/m\)20\(\bar{3}\ m\)\(D_{3d}\)
4551631-P 3 2c\(D_{3d}^2\)\(P\ \bar{3}\ \ 1\ c\)\(P\ \bar{3}\ 1\ 2/c\)
4561641-P 3 2\\(D_{3d}^3\)\(P\ \bar{3}\ \ m\ 1\)\(P\ \bar{3}\ 2/m\ 1\)
4571651-P 3 2\c\(D_{3d}^4\)\(P\ \bar{3}\ \ c\ 1\)\(P\ \bar{3}\ 2/c\ 1\)
4581661\(H\)-R 3 2\\(D_{3d}^5\)\(R\ \bar{3}\ \ m\)\(R\ \bar{3}\ 2/m\)
4592\(R\)-P 3* 2
4601671\(H\)-R 3 2\c\(D_{3d}^6\)\(R\ \bar{3}\ \ c\)\(R\ \bar{3}\ 2/c\)
4612\(R\)-P 3* 2n

Hexagonal 六方晶系

Crystal System No.: 6

Serial No.ITA No.Sub No.Axes, OriginHall symbolSch. symbolHM symbol (short)HM symbol (full)PG No.PG (HM)PG (Sch.)LC No.LC (HM)
4621681P 6\(C_6^1\)\(P\ 6\)\(P\ 6\)21\(6\)\(C_6\)8\(6/m\)
4631691P 61\(C_6^2\)\(P\ 6_1\)\(P\ 6_1\)
4641701P 65\(C_6^3\)\(P\ 6_5\)\(P\ 6_5\)
4651711P 62\(C_6^4\)\(P\ 6_2\)\(P\ 6_2\)
4661721P 64\(C_6^5\)\(P\ 6_4\)\(P\ 6_4\)
4671731P 6c\(C_6^6\)\(P\ 6_3\)\(P\ 6_3\)
4681741P -6\(C_{3h}^1\)\(P\ \bar{6}\)\(P\ \bar{6}\)22\(\bar{6}\)\(C_{3h}\)
4691751-P 6\(C_{6h}^1\)\(P\ 6/m\)\(P\ 6/m\)23\(6/m\)\(C_{6h}\)
4701761-P 6c\(C_{6h}^2\)\(P\ 6_3/m\)\(P\ 6_3/m\)
4711771P 6 2\(D_6^1\)\(P\ 6\ 2\ 2\)\(P\ 6\ 2\ 2\)24\(6\ 2\ 2\)\(D_6\)9\(6/mmm\)
4721781P 61 2 (0 0 -1)\(D_6^2\)\(P\ 6_1\ 2\ 2\)\(P\ 6_1\ 2\ 2\)
4731791P 65 2 (0 0 1)\(D_6^3\)\(P\ 6_5\ 2\ 2\)\(P\ 6_5\ 2\ 2\)
4741801P 62 2c (0 0 1)\(D_6^4\)\(P\ 6_2\ 2\ 2\)\(P\ 6_2\ 2\ 2\)
4751811P 64 2c (0 0 -1)\(D_6^5\)\(P\ 6_4\ 2\ 2\)\(P\ 6_4\ 2\ 2\)
4761821P 6c 2c\(D_6^6\)\(P\ 6_3\ 2\ 2\)\(P\ 6_3\ 2\ 2\)
4771831P 6 -2\(C_{6v}^1\)\(P\ 6\ m\ m\)\(P\ 6\ m\ m\)25\(6\ m\ m\)\(C_{6v}\)
4781841P 6 -2c\(C_{6v}^2\)\(P\ 6\ c\ c\)\(P\ 6\ c\ c\)
4791851P 6c -2\(C_{6v}^3\)\(P\ 6_3\ c\ m\)\(P\ 6_3\ c\ m\)
4801861P 6c -2c\(C_{6v}^4\)\(P\ 6_3\ m\ c\)\(P\ 6_3\ m\ c\)
4811871P -6 2\(D_{3h}^1\)\(P\ \bar{6}\ m\ 2\)\(P\ \bar{6}\ m\ 2\)26\(\bar{6}\ m\ 2\)\(D_{3h}\)
4821881P -6c 2\(D_{3h}^2\)\(P\ \bar{6}\ c\ 2\)\(P\ \bar{6}\ c\ 2\)
4831891P -6 -2\(D_{3h}^3\)\(P\ \bar{6}\ 2\ m\)\(P\ \bar{6}\ 2\ m\)
4841901P -6c -2c\(D_{3h}^4\)\(P\ \bar{6}\ 2\ c\)\(P\ \bar{6}\ 2\ c\)
4851911-P 6 2\(D_{6h}^1\)\(P\ 6/m\ m\ m\)\(P\ 6/m\ 2/m\ 2/m\)27\(6/m\ m\ m\)\(D_{6h}\)
4861921-P 6 2c\(D_{6h}^2\)\(P\ 6/m\ c\ c\)\(P\ 6/m\ 2/c\ 2/c\)
4871931-P 6c 2\(D_{6h}^3\)\(P\ 6_3/m\ c\ m\)\(P\ 6_3/m\ 2/c\ 2/m\)
4881941-P 6c 2c\(D_{6h}^4\)\(P\ 6_3/m\ m\ c\)\(P\ 6_3/m\ 2/m\ 2/c\)

Cubic 立方晶系

Crystal System No.: 7

Serial No.ITA No.Sub No.Axes, OriginHall symbolSch. symbolHM symbol (short)HM symbol (full)PG No.PG (HM)PG (Sch.)LC No.LC (HM)
4891951P 2 2 3\(T^1\)\(P\ 2\ 3\)\(P\ 2\ 3\)28\(2\ 3\)\(T\)10\(m\bar{3}\)
4901961F 2 2 3\(T^2\)\(F\ 2\ 3\)\(F\ 2\ 3\)
4911971I 2 2 3\(T^3\)\(I\ 2\ 3\)\(I\ 2\ 3\)
4921981P 2ac 2ab 3\(T^4\)\(P\ 2_1\ 3\)\(P\ 2_1\ 3\)
4931991I 2b 2c 3\(T^5\)\(I\ 2_1\ 3\)\(I\ 2_1\ 3\)
4942001-P 2 2 3\(T_h^1\)\(P\ m\ \bar{3}\)\(P\ 2/m\ \bar{3}\)29\(m\ \bar{3}\)\(T_h\)
4952011\(1\)P 2 2 3 -1n\(T_h^2\)\(P\ n\ \bar{3}\)\(P\ 2/n\ \bar{3}\)
4962\(2\)-P 2ab 2bc 3
4972021-F 2 2 3\(T_h^3\)\(F\ m\ \bar{3}\)\(F\ 2/m\ \bar{3}\)
4982031\(1\)F 2 2 3 -1d\(T_h^4\)\(F\ d\ \bar{3}\)\(F\ 2/d\ \bar{3}\)
4992\(2\)-F 2uv 2vw 3
5002041-I 2 2 3\(T_h^5\)\(I\ m\ \bar{3}\)\(I\ 2/m\ \bar{3}\)
5012051-P 2ac 2ab 3\(T_h^6\)\(P\ a\ \bar{3}\)\(P\ 2_1/a\ \bar{3}\)
5022061-I 2b 2c 3\(T_h^7\)\(I\ a\ \bar{3}\)\(I\ 2_1/a\ \bar{3}\)
5032071P 4 2 3\(O^1\)\(P\ 4\ 3\ 2\)\(P\ 4\ 3\ 2\)30\(4\ 3\ 2\)\(O\)11\(m\bar{3}m\)
5042081P 4n 2 3\(O^2\)\(P\ 4_2\ 3\ 2\)\(P\ 4_2\ 3\ 2\)
5052091F 4 2 3\(O^3\)\(F\ 4\ 3\ 2\)\(F\ 4\ 3\ 2\)
5062101F 4d 2 3\(O^4\)\(F\ 4_1\ 3\ 2\)\(F\ 4_1\ 3\ 2\)
5072111I 4 2 3\(O^5\)\(I\ 4\ 3\ 2\)\(I\ 4\ 3\ 2\)
5082121P 4acd 2ab 3\(O^6\)\(P\ 4_3\ 3\ 2\)\(P\ 4_3\ 3\ 2\)
5092131P 4bd 2ab 3\(O^7\)\(P\ 4_1\ 3\ 2\)\(P\ 4_1\ 3\ 2\)
5102141I 4bd 2c 3\(O^8\)\(I\ 4_1\ 3\ 2\)\(I\ 4_1\ 3\ 2\)
5112151P -4 2 3\(T_d^1\)\(P\ \bar{4}\ 3\ m\)\(P\ \bar{4}\ 3\ m\)31\(\bar{4}\ 3\ m\)\(T_d\)
5122161F -4 2 3\(T_d^2\)\(F\ \bar{4}\ 3\ m\)\(F\ \bar{4}\ 3\ m\)
5132171I -4 2 3\(T_d^3\)\(I\ \bar{4}\ 3\ m\)\(I\ \bar{4}\ 3\ m\)
5142181P -4n 2 3\(T_d^4\)\(P\ \bar{4}\ 3\ n\)\(P\ \bar{4}\ 3\ n\)
5152191F -4c 2 3\(T_d^5\)\(F\ \bar{4}\ 3\ c\)\(F\ \bar{4}\ 3\ c\)
5162201I -4bd 2c 3\(T_d^6\)\(I\ \bar{4}\ 3\ d\)\(I\ \bar{4}\ 3\ d\)
5172211-P 4 2 3\(O_h^1\)\(P\ m\ \bar{3}\ \ m\)\(P\ 4/m\ \bar{3}\ 2/m\)32\(m\ \bar{3}\ m\)\(O_h\)
5182221\(1\)P 4 2 3 -1n\(O_h^2\)\(P\ n\ \bar{3}\ \ n\)\(P\ 4/n\ \bar{3}\ 2/n\)
5192\(2\)-P 4a 2bc 3
5202231-P 4n 2 3\(O_h^3\)\(P\ m\ \bar{3}\ \ n\)\(P\ 4_2/m\ \bar{3}\ 2/n\)
5212241\(1\)P 4n 2 3 -1n\(O_h^4\)\(P\ n\ \bar{3}\ \ m\)\(P\ 4_2/n\ \bar{3}\ 2/m\)
5222\(2\)-P 4bc 2bc 3
5232251-F 4 2 3\(O_h^5\)\(F\ m\ \bar{3}\ \ m\)\(F\ 4/m\ \bar{3}\ 2/m\)
5242261-F 4c 2 3\(O_h^6\)\(F\ m\ \bar{3}\ \ c\)\(F\ 4/m\ \bar{3}\ 2/c\)
5252271\(1\)F 4d 2 3 -1d\(O_h^7\)\(F\ d\ \bar{3}\ \ m\)\(F\ 4_1/d\ \bar{3}\ 2/m\)
5262\(2\)-F 4vw 2vw 3
5272281\(1\)F 4d 2 3 -1cd\(O_h^8\)\(F\ d\ \bar{3}\ \ c\)\(F\ 4_1/d\ \bar{3}\ 2/c\)
5282\(2\)-F 4cvw 2vw 3
5292291-I 4 2 3\(O_h^9\)\(I\ m\ \bar{3}\ \ m\)\(I\ 4/m\ \bar{3}\ 2/m\)
5302301-I 4bd 2c 3\(O_h^{10}\)\(I\ a\ \bar{3}\ \ d\)\(I\ 4_1/a\ \bar{3}\ 2/d\)
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