Subgroups — C₄×C₅×#835 #14295742

Order 1920.

664 conjugacy classes of subgroups.

The subgroup lattice has 324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₄×C₅×Q₈	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×#835	C₂	1	2	yes	maximal
3	C₄×C₅×C₄⋊Dic₃	C₂	1	1	yes	maximal, characteristic
4	C₂×C₄×C₅×C₃⋊C₈	C₂	1	1	yes	maximal, characteristic
5	C₅×#4529	C₂	1	2	yes	maximal
6	C₄×C₅×#103	—	3	1	no	maximal, Hall
7	C₂²×C₃×C₅×Q₈	C₂²	1	1	yes	characteristic
8	C₃×C₄×C₅×Q₈	—	2	2	no	—
9	C₃×C₄×C₅×Q₈	C₄	1	4	yes	complemented
10	C₂×C₃×C₅×C₄⋊C₄	—	2	1	no	—
11	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
12	C₂×C₃×C₄²×C₅	—	2	1	no	—
13	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
14	C₂×C₅×C₄⋊Dic₃	C₂²	1	2	yes	—
15	C₂×C₄×C₅×Dic₃	—	2	1	no	—
16	C₂²×C₅×C₃⋊C₈	C₂²	1	2	yes	—
17	C₅×#835	C₄	1	8	yes	direct product factor
18	C₅×C₃⋊#95	—	2	1	no	—
19	C₄×C₅×C₃⋊C₈	—	2	2	no	—
20	C₄×#835	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
21	C₂×C₄×C₅×Q₈	D₃	1	1	yes	characteristic
22	C₂×C₅×#103	—	3	2	no	—
23	C₂×C₄×C₅×C₈	—	3	1	no	—
24	C₄×C₅×C₄⋊C₄	—	3	1	no	—
25	C₅×#340	—	3	2	no	—
26	C₂×C₃×C₅×Q₈	—	2	1	no	—
27	C₂×C₃×C₅×Q₈	—	2	2	no	—
28	C₂×C₃×C₅×Q₈	C₂×C₄	1	4	yes	—
29	C₂×C₃×C₅×Q₈	C₂×C₄	1	2	yes	—
30	C₂²×C₃×C₄×C₅	—	2	1	no	—
31	C₂²×C₃×C₄×C₅	—	2	1	no	—
32	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
33	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
34	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
35	C₂²×C₅×Dic₃	—	2	2	no	—
36	C₃×C₅×C₄⋊C₄	—	2	4	no	—
37	C₃×C₅×C₄⋊C₄	—	2	1	no	—
38	C₃×C₅×C₄⋊C₄	C₂×C₄	1	2	yes	—
39	C₃×C₄²×C₅	—	2	4	no	—
40	C₃×C₄²×C₅	C₂×C₄	1	2	yes	—
41	C₃×C₄²×C₅	D₄	1	2	yes	—
42	C₅×C₄⋊Dic₃	—	2	2	no	—
43	C₅×C₄⋊Dic₃	C₂×C₄	1	4	yes	—
44	C₄×C₅×Dic₃	—	4	2	no	—
45	C₂×C₅×C₃⋊C₈	—	2	2	no	—
46	C₂×C₅×C₃⋊C₈	—	2	2	no	—
47	C₂×C₅×C₃⋊C₈	C₂×C₄	1	4	yes	—
48	C₂×C₃×C₄×Q₈	C₂×C₅	1	1	yes	characteristic
49	C₂×#835	C₂×C₅	1	2	yes	—
50	C₄×C₄⋊Dic₃	C₂×C₅	1	1	yes	characteristic
51	C₂×C₄×C₃⋊C₈	C₂×C₅	1	1	yes	characteristic
52	#4529	C₂×C₅	1	2	yes	—
53	C₂²×C₅×Q₈	C₂×D₃	1	1	yes	characteristic
54	C₂²×C₅×C₈	—	3	2	no	—
55	C₄×C₅×Q₈	—	2	2	no	—
56	C₄×C₅×Q₈	Dic₃	1	4	yes	complemented
57	C₂×C₅×C₄⋊C₄	—	2	1	no	—
58	C₂×C₅×C₄⋊C₄	—	3	2	no	—
59	C₂×C₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
60	C₂×C₄²×C₅	—	2	1	no	—
61	C₂×C₄²×C₅	—	6	1	no	—
62	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic
63	C₅×#103	—	3	8	no	—
64	C₄×C₅×C₈	—	6	2	no	—
65	C₅×#95	—	6	1	no	—
66	C₄×#103	—	3	1	no	Sylow
67	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
68	C₃×C₅×Q₈	—	2	2	no	—
69	C₃×C₅×Q₈	—	2	4	no	—
70	C₃×C₅×Q₈	C₄²	1	4	yes	complemented
71	C₂×C₃×C₄×C₅	—	2	2	no	—
72	C₂×C₃×C₄×C₅	—	2	4	no	—
73	C₂×C₃×C₄×C₅	—	2	2	no	—
74	C₂×C₃×C₄×C₅	—	2	2	no	—
75	C₂×C₃×C₄×C₅	—	4	2	no	—
76	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	2	yes	—
77	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	2	yes	—
78	C₂×C₃×C₄×C₅	SD₁₆	1	2	yes	—
79	C₂×C₃×C₄×C₅	Q₁₆	1	2	yes	—
80	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
81	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
82	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
83	C₂×C₃×C₄×C₅	#41	1	2	yes	—
84	C₂×C₅×Dic₃	—	2	4	no	—
85	C₂×C₅×Dic₃	—	4	2	no	—
86	C₂×C₅×Dic₃	—	4	2	no	—
87	C₅×C₃⋊C₈	—	2	4	no	—
88	C₂²×C₃×Q₈	C₂²×C₅	1	1	yes	characteristic
89	C₃×C₄×Q₈	—	2	2	no	—
90	C₃×C₄×Q₈	C₄×C₅	1	4	yes	complemented
91	C₂×C₃×C₄⋊C₄	—	2	1	no	—
92	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
93	C₂×C₃×C₄²	—	2	1	no	—
94	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
95	C₂×C₄⋊Dic₃	C₂²×C₅	1	2	yes	—
96	C₂×C₄×Dic₃	—	2	1	no	—
97	C₂²×C₃⋊C₈	C₂²×C₅	1	2	yes	—
98	#835	C₄×C₅	1	8	yes	direct product factor
99	C₃⋊#95	—	2	1	no	—
100	C₄×C₃⋊C₈	—	2	2	no	—
101	C₂×C₅×Q₈	—	2	2	no	—
102	C₂×C₅×Q₈	—	2	1	no	—
103	C₂×C₅×Q₈	C₄×D₃	1	4	yes	—
104	C₂×C₅×Q₈	C₂×Dic₃	1	2	yes	—
105	C₂²×C₄×C₅	—	2	1	no	—
106	C₂²×C₄×C₅	—	2	1	no	—
107	C₂²×C₄×C₅	—	6	2	no	—
108	C₂²×C₄×C₅	#67	1	1	yes	characteristic
109	C₂²×C₄×C₅	#67	1	1	yes	characteristic
110	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
111	C₂×C₅×C₈	—	3	4	no	—
112	C₂×C₅×C₈	—	6	2	no	—
113	C₂×C₅×C₈	—	6	2	no	—
114	C₅×C₄⋊C₄	—	2	4	no	—
115	C₅×C₄⋊C₄	—	2	1	no	—
116	C₅×C₄⋊C₄	—	3	4	no	—
117	C₅×C₄⋊C₄	—	6	2	no	—
118	C₅×C₄⋊C₄	C₂×Dic₃	1	2	yes	—
119	C₄²×C₅	—	2	4	no	—
120	C₄²×C₅	—	12	2	no	—
121	C₄²×C₅	C₂×Dic₃	1	2	yes	—
122	C₄²×C₅	#67	1	2	yes	—
123	C₂×C₄×Q₈	C₅×D₃	1	1	yes	characteristic
124	C₂×#103	—	3	2	no	—
125	C₂×C₄×C₈	—	3	1	no	—
126	C₄×C₄⋊C₄	—	3	1	no	—
127	#340	—	3	2	no	—
128	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
129	C₂²×C₃×C₅	C₄×D₄	1	2	yes	—
130	C₂²×C₃×C₅	C₂×SD₁₆	1	1	yes	characteristic
131	C₂²×C₃×C₅	C₂×Q₁₆	1	1	yes	characteristic
132	C₂²×C₃×C₅	#135	1	2	yes	—
133	C₃×C₄×C₅	—	2	4	no	—
134	C₃×C₄×C₅	—	2	2	no	—
135	C₃×C₄×C₅	—	4	2	no	—
136	C₃×C₄×C₅	#103	1	4	yes	complemented
137	C₃×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
138	C₃×C₄×C₅	#117	1	1	yes	characteristic
139	C₃×C₄×C₅	C₄×D₄	1	2	yes	—
140	C₅×Dic₃	—	4	4	no	—
141	C₂×C₃×Q₈	—	2	1	no	—
142	C₂×C₃×Q₈	—	2	2	no	—
143	C₂×C₃×Q₈	C₂×C₄×C₅	1	4	yes	—
144	C₂×C₃×Q₈	C₂×C₄×C₅	1	2	yes	—
145	C₂²×C₃×C₄	—	2	1	no	—
146	C₂²×C₃×C₄	—	2	1	no	—
147	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
148	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
149	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
150	C₂²×Dic₃	—	2	2	no	—
151	C₃×C₄⋊C₄	—	2	4	no	—
152	C₃×C₄⋊C₄	—	2	1	no	—
153	C₃×C₄⋊C₄	C₂×C₄×C₅	1	2	yes	—
154	C₃×C₄²	—	2	4	no	—
155	C₃×C₄²	C₂×C₄×C₅	1	2	yes	—
156	C₃×C₄²	C₅×D₄	1	2	yes	—
157	C₄⋊Dic₃	—	2	2	no	—
158	C₄⋊Dic₃	C₂×C₄×C₅	1	4	yes	—
159	C₄×Dic₃	—	4	2	no	—
160	C₂×C₃⋊C₈	—	2	2	no	—
161	C₂×C₃⋊C₈	—	2	2	no	—
162	C₂×C₃⋊C₈	C₂×C₄×C₅	1	4	yes	—
163	C₂³×C₅	C₂×#67	1	1	yes	characteristic
164	C₅×Q₈	—	2	2	no	—
165	C₅×Q₈	—	2	4	no	—
166	C₅×Q₈	C₄×Dic₃	1	4	yes	complemented
167	C₂×C₄×C₅	—	2	4	no	—
168	C₂×C₄×C₅	—	2	2	no	—
169	C₂×C₄×C₅	—	2	2	no	—
170	C₂×C₄×C₅	—	2	2	no	—
171	C₂×C₄×C₅	—	4	2	no	—
172	C₂×C₄×C₅	—	6	4	no	—
173	C₂×C₄×C₅	—	12	2	no	—
174	C₂×C₄×C₅	—	12	2	no	—
175	C₂×C₄×C₅	#215	1	2	yes	—
176	C₂×C₄×C₅	#216	1	2	yes	—
177	C₂×C₄×C₅	#217	1	2	yes	—
178	C₂×C₄×C₅	#217	1	2	yes	—
179	C₂×C₄×C₅	C₂×C₄×D₃	1	2	yes	—
180	C₂×C₄×C₅	#235	1	2	yes	—
181	C₂×C₄×C₅	C₂²×Dic₃	1	1	yes	characteristic
182	C₂×C₄×C₅	C₂×#67	1	1	yes	characteristic
183	C₅×C₈	—	6	4	no	—
184	C₂²×Q₈	C₂×C₅×D₃	1	1	yes	characteristic
185	C₂²×C₈	—	3	2	no	—
186	C₄×Q₈	—	2	2	no	—
187	C₄×Q₈	C₅×Dic₃	1	4	yes	complemented
188	C₂×C₄⋊C₄	—	2	1	no	—
189	C₂×C₄⋊C₄	—	3	2	no	—
190	C₂×C₄⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic
191	C₂×C₄²	—	2	1	no	—
192	C₂×C₄²	—	6	1	no	—
193	C₂×C₄²	C₂×C₅×D₃	1	1	yes	characteristic
194	#103	—	3	8	no	—
195	C₄×C₈	—	6	2	no	—
196	#95	—	6	1	no	—
197	C₂×C₃×C₅	C₄×C₂²⋊C₄	1	1	yes	characteristic
198	C₂×C₃×C₅	C₂×#103	1	1	yes	characteristic
199	C₂×C₃×C₅	#416	1	1	yes	characteristic
200	C₂×C₃×C₅	C₄×SD₁₆	1	2	yes	—
201	C₂×C₃×C₅	C₄×Q₁₆	1	2	yes	—
202	C₂³×C₃	C₂×C₅×D₄	1	1	yes	characteristic
203	C₃×Q₈	—	2	2	no	—
204	C₃×Q₈	—	2	4	no	—
205	C₃×Q₈	C₄²×C₅	1	4	yes	complemented
206	C₂×C₃×C₄	—	2	2	no	—
207	C₂×C₃×C₄	—	2	4	no	—
208	C₂×C₃×C₄	—	2	2	no	—
209	C₂×C₃×C₄	—	2	2	no	—
210	C₂×C₃×C₄	—	4	2	no	—
211	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	2	yes	—
212	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	2	yes	—
213	C₂×C₃×C₄	C₅×SD₁₆	1	2	yes	—
214	C₂×C₃×C₄	C₅×Q₁₆	1	2	yes	—
215	C₂×C₃×C₄	C₂²×C₄×C₅	1	2	yes	—
216	C₂×C₃×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
217	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
218	C₂×C₃×C₄	C₅×#41	1	2	yes	—
219	C₂×Dic₃	—	2	4	no	—
220	C₂×Dic₃	—	4	2	no	—
221	C₂×Dic₃	—	4	2	no	—
222	C₃⋊C₈	—	2	4	no	—
223	C₂²×C₅	C₄×#67	1	2	yes	—
224	C₂²×C₅	C₂×#215	1	1	yes	characteristic
225	C₂²×C₅	C₂×#216	1	1	yes	characteristic
226	C₂²×C₅	#950	1	2	yes	—
227	C₂²×C₅	C₂×#217	1	1	yes	characteristic
228	C₄×C₅	—	2	4	no	—
229	C₄×C₅	—	2	2	no	—
230	C₄×C₅	—	4	2	no	—
231	C₄×C₅	—	12	4	no	—
232	C₄×C₅	#835	1	4	yes	direct product factor
233	C₄×C₅	C₂×C₄×Dic₃	1	1	yes	characteristic
234	C₄×C₅	#926	1	1	yes	characteristic
235	C₄×C₅	C₄×#67	1	2	yes	—
236	C₂×Q₈	—	2	2	no	—
237	C₂×Q₈	—	2	1	no	—
238	C₂×Q₈	C₄×C₅×D₃	1	4	yes	—
239	C₂×Q₈	C₂×C₅×Dic₃	1	2	yes	—
240	C₂²×C₄	—	2	1	no	—
241	C₂²×C₄	—	2	1	no	—
242	C₂²×C₄	—	6	2	no	—
243	C₂²×C₄	C₅×#67	1	1	yes	characteristic
244	C₂²×C₄	C₅×#67	1	1	yes	characteristic
245	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
246	C₂×C₈	—	3	4	no	—
247	C₂×C₈	—	6	2	no	—
248	C₂×C₈	—	6	2	no	—
249	C₄⋊C₄	—	2	4	no	—
250	C₄⋊C₄	—	2	1	no	—
251	C₄⋊C₄	—	3	4	no	—
252	C₄⋊C₄	—	6	2	no	—
253	C₄⋊C₄	C₂×C₅×Dic₃	1	2	yes	—
254	C₄²	—	2	4	no	—
255	C₄²	—	12	2	no	—
256	C₄²	C₂×C₅×Dic₃	1	2	yes	—
257	C₄²	C₅×#67	1	2	yes	—
258	C₃×C₅	C₄×#103	1	1	yes	characteristic, complemented, Hall
259	C₂²×C₃	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
260	C₂²×C₃	C₄×C₅×D₄	1	2	yes	—
261	C₂²×C₃	C₂×C₅×SD₁₆	1	1	yes	characteristic
262	C₂²×C₃	C₂×C₅×Q₁₆	1	1	yes	characteristic
263	C₂²×C₃	C₅×#135	1	2	yes	—
264	C₃×C₄	—	2	4	no	—
265	C₃×C₄	—	2	2	no	—
266	C₃×C₄	—	4	2	no	—
267	C₃×C₄	C₅×#103	1	4	yes	complemented
268	C₃×C₄	C₂×C₄²×C₅	1	1	yes	characteristic
269	C₃×C₄	C₅×#117	1	1	yes	characteristic
270	C₃×C₄	C₄×C₅×D₄	1	2	yes	—
271	Dic₃	—	4	4	no	—
272	C₂×C₅	C₄×#215	1	2	yes	—
273	C₂×C₅	C₄×#216	1	2	yes	—
274	C₂×C₅	C₄×#217	1	1	yes	characteristic
275	C₂×C₅	C₂×#835	1	1	yes	characteristic
276	C₂×C₅	#5233	1	1	yes	characteristic
277	C₂³	C₂×C₅×#67	1	1	yes	characteristic
278	Q₈	—	2	2	no	—
279	Q₈	—	2	4	no	—
280	Q₈	C₄×C₅×Dic₃	1	4	yes	complemented
281	C₂×C₄	—	2	4	no	—
282	C₂×C₄	—	2	2	no	—
283	C₂×C₄	—	2	2	no	—
284	C₂×C₄	—	2	2	no	—
285	C₂×C₄	—	4	2	no	—
286	C₂×C₄	—	6	4	no	—
287	C₂×C₄	—	12	2	no	—
288	C₂×C₄	—	12	2	no	—
289	C₂×C₄	C₅×#215	1	2	yes	—
290	C₂×C₄	C₅×#216	1	2	yes	—
291	C₂×C₄	C₅×#217	1	2	yes	—
292	C₂×C₄	C₅×#217	1	2	yes	—
293	C₂×C₄	C₂×C₄×C₅×D₃	1	2	yes	—
294	C₂×C₄	C₅×#235	1	2	yes	—
295	C₂×C₄	C₂²×C₅×Dic₃	1	1	yes	characteristic
296	C₂×C₄	C₂×C₅×#67	1	1	yes	characteristic
297	C₈	—	6	4	no	—
298	C₂×C₃	C₄×C₅×C₂²⋊C₄	1	1	yes	characteristic
299	C₂×C₃	C₂×C₅×#103	1	1	yes	characteristic
300	C₂×C₃	C₅×#416	1	1	yes	characteristic
301	C₂×C₃	C₄×C₅×SD₁₆	1	2	yes	—
302	C₂×C₃	C₄×C₅×Q₁₆	1	2	yes	—
303	C₅	C₄×#835	1	1	yes	characteristic, direct product factor, Sylow
304	C₂²	C₄×C₅×#67	1	2	yes	—
305	C₂²	C₂×C₅×#215	1	1	yes	characteristic
306	C₂²	C₂×C₅×#216	1	1	yes	characteristic
307	C₂²	C₅×#950	1	2	yes	—
308	C₂²	C₂×C₅×#217	1	1	yes	characteristic
309	C₄	—	2	4	no	—
310	C₄	—	2	2	no	—
311	C₄	—	4	2	no	—
312	C₄	—	12	4	no	—
313	C₄	C₅×#835	1	4	yes	direct product factor
314	C₄	C₂×C₄×C₅×Dic₃	1	1	yes	characteristic
315	C₄	C₅×#926	1	1	yes	characteristic
316	C₄	C₄×C₅×#67	1	2	yes	—
317	C₃	C₄×C₅×#103	1	1	yes	characteristic, complemented, Sylow
318	C₂	C₄×C₅×#215	1	2	yes	—
319	C₂	C₄×C₅×#216	1	2	yes	—
320	C₂	C₄×C₅×#217	1	1	yes	characteristic
321	C₂	C₂×C₅×#835	1	1	yes	characteristic
322	C₂	C₅×#5233	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₅	#67
commutator	C₃×C₄	C₂×C₄²×C₅
Frattini	C₂²×C₄	C₂²×C₅×D₃
Fitting	C₂×C₃×C₄×C₅×Q₈	C₂
socle, prime radical	C₂³×C₃×C₅	C₂×D₄
cosocle	C₂²×C₃×C₄	C₂³×C₅
hypercenter	C₂×C₄×C₅×Q₈	D₃
hypocenter	C₃	C₄×C₅×#103
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₄×C₅ ◁ C₂×C₄²×C₅ ◁ C₂×C₄×C₅×Q₈

Complements

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

N	H ≅ G/N	type
9. C₃×C₄×C₅×Q₈	C₄	semidirect
17. C₅×#835	C₄	direct (N × H)
20. C₄×#835	C₅	direct (N × H)
56. C₄×C₅×Q₈	Dic₃	semidirect
70. C₃×C₅×Q₈	C₄²	semidirect
90. C₃×C₄×Q₈	C₄×C₅	semidirect
98. #835	C₄×C₅	direct (N × H)
136. C₃×C₄×C₅	#103	semidirect
166. C₅×Q₈	C₄×Dic₃	semidirect
187. C₄×Q₈	C₅×Dic₃	semidirect
205. C₃×Q₈	C₄²×C₅	semidirect
232. C₄×C₅	#835	direct (N × H)
258. C₃×C₅	C₄×#103	semidirect
267. C₃×C₄	C₅×#103	semidirect
280. Q₈	C₄×C₅×Dic₃	semidirect
303. C₅	C₄×#835	direct (N × H)
313. C₄	C₅×#835	direct (N × H)
317. C₃	C₄×C₅×#103	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×C₄×C₅×Q₈	2
C₂×C₅×#835	2
C₄×C₅×C₄⋊Dic₃	2
C₂×C₄×C₅×C₃⋊C₈	2
C₅×#4529	2
C₄×C₅×#103	3
C₄×#835	5

Subgroups — C4×C5×#835 #14295742

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×C₅×#835 #14295742