Subgroups — #72314648

Order 2048.

At least 6125 conjugacy classes of subgroups; only the 602 normal subgroups are shown.

The subgroup lattice has 308 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72314644	C₂	1	2	yes	maximal, complemented
2	#72314643	C₂	1	2	yes	maximal, complemented
3	#72314438	C₂	1	1	yes	maximal, characteristic, complemented
4	#72313536	C₂	1	1	yes	maximal, characteristic, complemented
5	#72310350	C₂	1	2	yes	maximal, complemented
6	#72300148	C₂	1	1	yes	maximal, characteristic, complemented
7	#72266436	C₂	1	1	yes	maximal, characteristic, complemented
8	#72259111	C₂	1	1	yes	maximal, characteristic, complemented
9	#72256288	C₂	1	2	yes	maximal, complemented
10	#72256066	C₂	1	2	yes	maximal, complemented
11	#72240474	C₂	1	2	yes	maximal, complemented
12	#72237822	C₂	1	1	yes	maximal, characteristic, complemented
13	#72237355	C₂	1	1	yes	maximal, characteristic, complemented
14	#72233535	C₂	1	2	yes	maximal, complemented
15	#72233445	C₂	1	2	yes	maximal, complemented
16	#72216344	C₂	1	2	yes	maximal, complemented
17	#72216336	C₂	1	2	yes	maximal, complemented
18	#72210342	C₂	1	2	yes	maximal, complemented
19	B(5,𝔽₂)	C₂	1	2	yes	maximal, complemented
20	#10586797	C₂²	1	1	yes	characteristic, complemented
21	#7266799	C₂²	1	2	yes	complemented
22	#7266799	C₂²	1	2	yes	complemented
23	#7266798	C₂²	1	2	yes	complemented
24	#6499875	C₂²	1	2	yes	—
25	#6499875	C₂²	1	2	yes	complemented
26	#6499874	C₂²	1	2	yes	complemented
27	#6499874	C₂²	1	2	yes	complemented
28	#6499869	C₂²	1	1	yes	characteristic
29	#6499869	C₂²	1	1	yes	characteristic, complemented
30	#6499869	C₂²	1	1	yes	characteristic, complemented
31	#6499868	C₂²	1	1	yes	characteristic, complemented
32	#6499855	C₂²	1	2	yes	complemented
33	#5021140	C₂²	1	1	yes	characteristic, complemented
34	#511811	C₂²	1	2	yes	—
35	#511811	C₂²	1	2	yes	complemented
36	#511791	C₂²	1	2	yes	complemented
37	#511791	C₂²	1	2	yes	complemented
38	#511791	C₂²	1	2	yes	complemented
39	#511790	C₂²	1	2	yes	—
40	#511790	C₂²	1	2	yes	complemented
41	#511790	C₂²	1	2	yes	complemented
42	#511776	C₂²	1	2	yes	complemented
43	#511776	C₂²	1	2	yes	complemented
44	#493480	C₂²	1	2	yes	complemented
45	#493475	C₂²	1	2	yes	complemented
46	#493474	C₂²	1	2	yes	complemented
47	#347056	C₂²	1	2	yes	complemented
48	#347048	C₂²	1	2	yes	complemented
49	#347047	C₂²	1	2	yes	complemented
50	#347044	C₂²	1	1	yes	characteristic, complemented
51	#347042	C₂²	1	2	yes	complemented
52	#347042	C₂²	1	1	yes	characteristic, complemented
53	#346447	C₂²	1	1	yes	characteristic, complemented
54	#346446	C₂²	1	1	yes	characteristic, complemented
55	#188065	C₂²	1	1	yes	characteristic, complemented
56	#187952	C₂²	1	1	yes	characteristic, complemented
57	#187952	C₂²	1	1	yes	characteristic, complemented
58	#144639	C₂²	1	2	yes	complemented
59	#144639	C₂²	1	2	yes	complemented
60	#144633	C₂²	1	2	yes	complemented
61	#144631	C₂²	1	2	yes	complemented
62	#144387	C₂²	1	2	yes	complemented
63	#144386	C₂²	1	2	yes	complemented
64	#144383	C₂²	1	2	yes	complemented
65	#144382	C₂²	1	2	yes	complemented
66	#144380	C₂²	1	2	yes	complemented
67	#144379	C₂²	1	2	yes	complemented
68	#144378	C₂²	1	2	yes	complemented
69	#144378	C₂²	1	2	yes	complemented
70	#144367	C₂²	1	2	yes	complemented
71	#144366	C₂²	1	2	yes	complemented
72	#144364	C₂²	1	2	yes	complemented
73	#144364	C₂²	1	2	yes	complemented
74	#139759	C₂²	1	2	yes	complemented
75	#139759	C₂²	1	2	yes	complemented
76	#139750	C₂²	1	2	yes	complemented
77	#139750	C₂²	1	2	yes	complemented
78	#139750	C₂²	1	2	yes	complemented
79	#139749	C₂²	1	2	yes	complemented
80	#139748	C₂²	1	2	yes	complemented
81	#139747	C₂²	1	2	yes	complemented
82	#139743	C₂²	1	2	yes	complemented
83	#139743	C₂²	1	2	yes	complemented
84	#139743	C₂²	1	2	yes	complemented
85	#139743	C₂²	1	2	yes	complemented
86	#139742	C₂²	1	2	yes	complemented
87	#139742	C₂²	1	2	yes	complemented
88	#139739	C₂²	1	2	yes	complemented
89	#139739	C₂²	1	2	yes	complemented
90	#139732	C₂²	1	2	yes	complemented
91	#139732	C₂²	1	2	yes	complemented
92	#139732	C₂²	1	2	yes	complemented
93	#139731	C₂²	1	2	yes	complemented
94	#139719	C₂²	1	1	yes	characteristic, complemented
95	#139718	C₂²	1	1	yes	characteristic, complemented
96	#139717	C₂²	1	1	yes	characteristic, complemented
97	#139716	C₂²	1	1	yes	characteristic, complemented
98	#139703	C₂²	1	2	yes	complemented
99	#139703	C₂²	1	2	yes	complemented
100	#135516	C₂²	1	2	yes	complemented
101	#135516	C₂²	1	2	yes	complemented
102	#135514	C₂²	1	2	yes	complemented
103	#133839	C₂²	1	2	yes	complemented
104	#133839	C₂²	1	2	yes	complemented
105	#133824	C₂²	1	1	yes	characteristic, complemented
106	#133823	C₂²	1	1	yes	characteristic, complemented
107	#62832	C₂³	1	2	yes	—
108	#62820	C₂³	1	1	yes	characteristic
109	#62820	C₂³	1	1	yes	characteristic
110	#62820	C₂³	1	1	yes	characteristic
111	#62817	C₂³	1	2	yes	—
112	#62817	C₂³	1	1	yes	characteristic
113	C₂²×#560	C₂³	1	1	yes	characteristic
114	#60401	D₄	1	4	yes	complemented
115	#60399	C₂³	1	2	yes	—
116	#36614	D₄	1	2	yes	complemented
117	C₂×#2849	C₂³	1	1	yes	characteristic
118	#32873	C₂³	1	2	yes	—
119	#23997	D₄	1	4	yes	complemented
120	#23997	D₄	1	4	yes	complemented
121	#23985	D₄	1	2	yes	complemented
122	#23984	D₄	1	2	yes	complemented
123	#23906	C₂³	1	2	yes	—
124	#23906	C₂³	1	2	yes	—
125	#23901	C₂³	1	2	yes	—
126	#23901	C₂³	1	2	yes	—
127	#23901	C₂³	1	2	yes	—
128	#23901	C₂³	1	2	yes	—
129	#23901	C₂³	1	2	yes	—
130	#23900	C₂³	1	2	yes	—
131	#23900	C₂³	1	2	yes	—
132	#23900	C₂³	1	2	yes	—
133	#23900	C₂³	1	2	yes	—
134	#23900	C₂³	1	2	yes	—
135	#23897	C₂³	1	2	yes	—
136	#23897	C₂³	1	2	yes	—
137	#23895	C₂³	1	2	yes	—
138	#23895	C₂³	1	2	yes	—
139	#23895	C₂³	1	2	yes	—
140	#23895	C₂³	1	2	yes	—
141	#23895	C₂³	1	2	yes	—
142	#21778	C₂³	1	2	yes	—
143	#21777	D₄	1	4	yes	complemented
144	#21776	C₂³	1	2	yes	—
145	#21776	C₂³	1	2	yes	—
146	#21776	C₂³	1	2	yes	—
147	#21776	C₂³	1	2	yes	—
148	#21748	D₄	1	2	yes	complemented
149	#21747	C₂³	1	1	yes	characteristic
150	#21747	C₂³	1	1	yes	characteristic
151	#21747	C₂³	1	1	yes	characteristic
152	#21746	C₂³	1	1	yes	characteristic
153	#15948	C₂³	1	1	yes	characteristic
154	#15947	C₂³	1	1	yes	characteristic
155	#15261	C₂³	1	1	yes	characteristic
156	#15258	C₂³	1	1	yes	characteristic
157	#14658	C₂³	1	1	yes	characteristic
158	#12707	C₂³	1	2	yes	—
159	#12707	C₂³	1	2	yes	—
160	#12707	C₂³	1	2	yes	—
161	#12707	C₂³	1	2	yes	—
162	#12705	C₂³	1	2	yes	—
163	#12705	C₂³	1	2	yes	—
164	#12705	C₂³	1	2	yes	—
165	#12705	C₂³	1	2	yes	—
166	#12705	C₂³	1	2	yes	—
167	#12705	C₂³	1	2	yes	—
168	#12693	C₂³	1	2	yes	—
169	#12693	C₂³	1	2	yes	—
170	#12688	C₂³	1	2	yes	—
171	#12688	C₂³	1	2	yes	—
172	#12688	C₂³	1	2	yes	—
173	#12687	C₂³	1	2	yes	—
174	#12687	C₂³	1	2	yes	—
175	#12687	C₂³	1	2	yes	—
176	#8548	C₂³	1	1	yes	characteristic
177	#8547	C₂³	1	1	yes	characteristic
178	#8546	C₂³	1	2	yes	—
179	#8543	C₂³	1	1	yes	characteristic
180	#8541	C₂³	1	2	yes	—
181	#8541	C₂³	1	1	yes	characteristic
182	#8534	C₂³	1	2	yes	—
183	#8534	C₂³	1	2	yes	—
184	#8534	C₂³	1	2	yes	—
185	#8534	C₂³	1	2	yes	—
186	#8534	C₂³	1	2	yes	—
187	#8534	C₂³	1	2	yes	—
188	#8453	C₂³	1	2	yes	—
189	#8453	C₂³	1	2	yes	—
190	#7316	C₂³	1	2	yes	—
191	#7316	C₂³	1	2	yes	—
192	#7314	C₂³	1	2	yes	—
193	#7314	C₂³	1	2	yes	—
194	#7311	C₂³	1	2	yes	—
195	#7310	C₂³	1	2	yes	—
196	#7310	C₂³	1	2	yes	—
197	#7310	C₂³	1	2	yes	—
198	#7307	C₂³	1	2	yes	—
199	#7307	C₂³	1	2	yes	—
200	#7304	C₂³	1	2	yes	—
201	#7304	C₂³	1	2	yes	—
202	H(7,𝔽₂)	C₂×D₄	1	2	yes	complemented
203	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic, complemented
204	#3491	C₂×D₄	1	4	yes	—
205	#3490	C₂×D₄	1	2	yes	—
206	#3485	C₂×D₄	1	4	yes	—
207	#3484	C₂⁴	1	2	yes	—
208	#3484	C₂⁴	1	2	yes	—
209	#3484	C₂⁴	1	2	yes	—
210	#3484	C₂⁴	1	2	yes	—
211	C₂²×#127	C₂⁴	1	1	yes	characteristic
212	C₂×#525	C₂×D₄	1	2	yes	—
213	C₂²×#123	C₂⁴	1	1	yes	characteristic
214	C₂²×#123	C₂⁴	1	1	yes	characteristic
215	C₂²×#120	C₂⁴	1	1	yes	characteristic
216	C₂²×#120	C₂⁴	1	1	yes	characteristic
217	#3026	C₂×D₄	1	4	yes	—
218	#3026	C₂×D₄	1	4	yes	—
219	C₂×#458	C₂×D₄	1	4	yes	complemented
220	C₂×#458	C₂×D₄	1	4	yes	complemented
221	#2883	C₂×D₄	1	4	yes	complemented
222	#2883	C₂×D₄	1	2	yes	complemented
223	#2883	C₂×D₄	1	2	yes	complemented
224	#2883	C₂×D₄	1	2	yes	complemented
225	#2849	C₂×D₄	1	4	yes	complemented
226	#2846	C₂×D₄	1	4	yes	complemented
227	#2280	C₂×D₄	1	2	yes	complemented
228	C₂×#381	C₂×D₄	1	1	yes	characteristic, complemented
229	C₂×#381	C₂×D₄	1	1	yes	characteristic, complemented
230	C₂×#379	C₂×D₄	1	1	yes	characteristic, complemented
231	#1913	C₂×D₄	1	4	yes	—
232	#1913	C₂×D₄	1	4	yes	—
233	#1898	C₂×D₄	1	4	yes	complemented
234	#1898	C₂×D₄	1	4	yes	complemented
235	#1890	C₂×D₄	1	4	yes	complemented
236	#1890	C₂×D₄	1	4	yes	complemented
237	#1828	C₂×D₄	1	4	yes	complemented
238	#1819	C₂×D₄	1	2	yes	complemented
239	#1783	C₂⁴	1	2	yes	—
240	#1783	C₂⁴	1	2	yes	—
241	#1781	C₂⁴	1	2	yes	—
242	#1781	C₂⁴	1	2	yes	—
243	#1781	C₂⁴	1	2	yes	—
244	#1781	C₂⁴	1	2	yes	—
245	#1781	C₂⁴	1	2	yes	—
246	#1781	C₂⁴	1	2	yes	—
247	#1438	C₂⁴	1	1	yes	characteristic
248	#1438	C₂⁴	1	1	yes	characteristic
249	C₂⁶	C₂²×D₄	1	1	yes	characteristic
250	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
251	C₂×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
252	C₂×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
253	C₂×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
254	C₂×H(5,𝔽₂)	H(5,𝔽₂)	1	2	yes	—
255	C₂²×#41	#120	1	2	yes	—
256	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
257	C₂³×D₄	C₂⁵	1	1	yes	characteristic
258	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
259	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
260	#543	#120	1	2	yes	—
261	#534	#120	1	2	yes	—
262	#534	C₂²×D₄	1	4	yes	—
263	C₂×#123	#120	1	4	yes	—
264	C₂×#123	C₂²×D₄	1	4	yes	—
265	C₂×#120	C₂²×D₄	1	4	yes	—
266	#518	#120	1	4	yes	—
267	#518	C₂²×D₄	1	2	yes	—
268	#518	C₂²×D₄	1	2	yes	—
269	#518	C₂²×D₄	1	2	yes	—
270	#518	H(5,𝔽₂)	1	2	yes	—
271	C₂×#117	#120	1	2	yes	—
272	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
273	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
274	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
275	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
276	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
277	C₂×#99	C₂²×D₄	1	4	yes	—
278	C₂×#99	C₂²×D₄	1	4	yes	—
279	#379	C₂²×D₄	1	4	yes	—
280	C₂⁵	C₂³×D₄	1	1	yes	characteristic
281	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
282	C₂²×Q₈	B(4,𝔽₂)	1	2	yes	complemented
283	C₂²×D₄	B(4,𝔽₂)	1	2	yes	complemented
284	C₂²×D₄	C₂×#120	1	4	yes	—
285	C₂²×D₄	C₂³×D₄	1	2	yes	—
286	C₂²×D₄	C₂×H(5,𝔽₂)	1	2	yes	—
287	C₂³×C₄	B(4,𝔽₂)	1	4	yes	complemented
288	C₂³×C₄	C₂×#120	1	2	yes	—
289	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
290	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
291	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
292	C₂⁴	C₂×B(4,𝔽₂)	1	4	yes	—
293	C₂⁴	C₂²×#120	1	1	yes	characteristic
294	C₂⁴	#3484	1	1	yes	characteristic
295	C₂⁴	#3484	1	2	yes	—
296	C₂⁴	#3484	1	1	yes	characteristic
297	C₂²×C₄	C₂×B(4,𝔽₂)	1	2	yes	—
298	C₂²×C₄	C₂×B(4,𝔽₂)	1	4	yes	—
299	C₂²×C₄	C₂×B(4,𝔽₂)	1	2	yes	—
300	C₂²×C₄	#3484	1	2	yes	—
301	C₂³	#35346	1	1	yes	characteristic
302	C₂³	C₂²×B(4,𝔽₂)	1	2	yes	—
303	C₂²	#6499867	1	1	yes	characteristic
304	C₂²	#6499874	1	1	yes	characteristic
305	C₂²	#6499874	1	1	yes	characteristic
306	C₂	#72216396	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂	#72216396
commutator, Frattini, cosocle	C₂³×D₄	C₂⁵
LCS	G ▷ C₂³×D₄ ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂ ◁ C₂³ ◁ C₂³×D₄ ◁ G
LECS	G ▷ C₂³×D₄ ▷ C₂³ ▷ C₂ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #72314644	C₂	semidirect
2. #72314643	C₂	semidirect
3. #72314438	C₂	semidirect
4. #72313536	C₂	semidirect
5. #72310350	C₂	semidirect
6. #72300148	C₂	semidirect
7. #72266436	C₂	semidirect
8. #72259111	C₂	semidirect
9. #72256288	C₂	semidirect
10. #72256066	C₂	semidirect
11. #72240474	C₂	semidirect
12. #72237822	C₂	semidirect
13. #72237355	C₂	semidirect
14. #72233535	C₂	semidirect
15. #72233445	C₂	semidirect
16. #72216344	C₂	semidirect
17. #72216336	C₂	semidirect
18. #72210342	C₂	semidirect
19. B(5,𝔽₂)	C₂	semidirect
20. #10586797	C₂²	semidirect
21. #7266799	C₂²	semidirect
22. #7266799	C₂²	semidirect
23. #7266798	C₂²	semidirect
25. #6499875	C₂²	semidirect
26. #6499874	C₂²	semidirect
27. #6499874	C₂²	semidirect
29. #6499869	C₂²	semidirect
30. #6499869	C₂²	semidirect
31. #6499868	C₂²	semidirect
32. #6499855	C₂²	semidirect
33. #5021140	C₂²	semidirect
35. #511811	C₂²	semidirect
36. #511791	C₂²	semidirect
37. #511791	C₂²	semidirect
38. #511791	C₂²	semidirect
40. #511790	C₂²	semidirect
41. #511790	C₂²	semidirect
42. #511776	C₂²	semidirect
43. #511776	C₂²	semidirect
44. #493480	C₂²	semidirect
45. #493475	C₂²	semidirect
46. #493474	C₂²	semidirect
47. #347056	C₂²	semidirect
48. #347048	C₂²	semidirect
49. #347047	C₂²	semidirect
50. #347044	C₂²	semidirect
51. #347042	C₂²	semidirect
52. #347042	C₂²	semidirect
53. #346447	C₂²	semidirect
54. #346446	C₂²	semidirect
55. #188065	C₂²	semidirect
56. #187952	C₂²	semidirect
57. #187952	C₂²	semidirect
58. #144639	C₂²	semidirect
59. #144639	C₂²	semidirect
60. #144633	C₂²	semidirect
61. #144631	C₂²	semidirect
62. #144387	C₂²	semidirect
63. #144386	C₂²	semidirect
64. #144383	C₂²	semidirect
65. #144382	C₂²	semidirect
66. #144380	C₂²	semidirect
67. #144379	C₂²	semidirect
68. #144378	C₂²	semidirect
69. #144378	C₂²	semidirect
70. #144367	C₂²	semidirect
71. #144366	C₂²	semidirect
72. #144364	C₂²	semidirect
73. #144364	C₂²	semidirect
74. #139759	C₂²	semidirect
75. #139759	C₂²	semidirect
76. #139750	C₂²	semidirect
77. #139750	C₂²	semidirect
78. #139750	C₂²	semidirect
79. #139749	C₂²	semidirect
80. #139748	C₂²	semidirect
81. #139747	C₂²	semidirect
82. #139743	C₂²	semidirect
83. #139743	C₂²	semidirect
84. #139743	C₂²	semidirect
85. #139743	C₂²	semidirect
86. #139742	C₂²	semidirect
87. #139742	C₂²	semidirect
88. #139739	C₂²	semidirect
89. #139739	C₂²	semidirect
90. #139732	C₂²	semidirect
91. #139732	C₂²	semidirect
92. #139732	C₂²	semidirect
93. #139731	C₂²	semidirect
94. #139719	C₂²	semidirect
95. #139718	C₂²	semidirect
96. #139717	C₂²	semidirect
97. #139716	C₂²	semidirect
98. #139703	C₂²	semidirect
99. #139703	C₂²	semidirect
100. #135516	C₂²	semidirect
101. #135516	C₂²	semidirect
102. #135514	C₂²	semidirect
103. #133839	C₂²	semidirect
104. #133839	C₂²	semidirect
105. #133824	C₂²	semidirect
106. #133823	C₂²	semidirect
114. #60401	D₄	semidirect
116. #36614	D₄	semidirect
119. #23997	D₄	semidirect
120. #23997	D₄	semidirect
121. #23985	D₄	semidirect
122. #23984	D₄	semidirect
143. #21777	D₄	semidirect
148. #21748	D₄	semidirect
202. H(7,𝔽₂)	C₂×D₄	semidirect
203. C₂⁵×C₄	C₂×D₄	semidirect
219. C₂×#458	C₂×D₄	semidirect
220. C₂×#458	C₂×D₄	semidirect
221. #2883	C₂×D₄	semidirect
222. #2883	C₂×D₄	semidirect
223. #2883	C₂×D₄	semidirect
224. #2883	C₂×D₄	semidirect
225. #2849	C₂×D₄	semidirect
226. #2846	C₂×D₄	semidirect
227. #2280	C₂×D₄	semidirect
228. C₂×#381	C₂×D₄	semidirect
229. C₂×#381	C₂×D₄	semidirect
230. C₂×#379	C₂×D₄	semidirect
233. #1898	C₂×D₄	semidirect
234. #1898	C₂×D₄	semidirect
235. #1890	C₂×D₄	semidirect
236. #1890	C₂×D₄	semidirect
237. #1828	C₂×D₄	semidirect
238. #1819	C₂×D₄	semidirect
282. C₂²×Q₈	B(4,𝔽₂)	semidirect
283. C₂²×D₄	B(4,𝔽₂)	semidirect
287. C₂³×C₄	B(4,𝔽₂)	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#72314644	2
#72314643	2
#72314438	2
#72313536	2
#72310350	2
#72300148	2
#72266436	2
#72259111	2
#72256288	2
#72256066	2
#72240474	2
#72237822	2
#72237355	2
#72233535	2
#72233445	2
#72216344	2
#72216336	2
#72210342	2
B(5,𝔽₂)	2