Subgroups — C₅×#33787 #11956507

Order 1280.

586 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3176	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#3156	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2250	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2248	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#2245	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#2242	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#2210	C₂	1	2	yes	maximal, complemented
8	C₅×#2208	C₂	1	2	yes	maximal, complemented
9	C₅×#2186	C₂	1	2	yes	maximal, complemented
10	C₅×#2185	C₂	1	2	yes	maximal, complemented
11	C₅×#2164	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₅×#137	—	2	1	no	—
13	C₂×C₅×#135	C₂²	1	1	yes	characteristic
14	C₂²×C₅×Q₁₆	C₂²	1	1	yes	characteristic
15	C₅×#540	—	2	1	no	—
16	C₅×#536	—	2	1	no	—
17	C₂×C₅×SD₃₂	C₂²	1	2	yes	—
18	C₂×C₅×SD₃₂	C₂²	1	2	yes	—
19	C₂×C₅×SD₃₂	C₂²	1	2	yes	—
20	C₂×C₅×D₁₆	C₂²	1	2	yes	—
21	C₅×#499	C₂²	1	1	yes	characteristic
22	C₅×#497	—	2	1	no	—
23	C₅×#497	—	2	1	no	—
24	C₅×#495	C₂²	1	1	yes	characteristic
25	C₅×#495	C₂²	1	1	yes	characteristic
26	C₅×#494	C₂²	1	1	yes	characteristic
27	C₅×#494	C₂²	1	1	yes	characteristic
28	C₅×#493	C₂²	1	1	yes	characteristic
29	C₅×#490	—	2	1	no	—
30	C₅×#469	—	2	1	no	—
31	C₅×#466	C₂²	1	2	yes	—
32	C₅×#442	—	2	1	no	—
33	C₄×C₅×D₈	C₂²	1	2	yes	—
34	C₅×#405	C₂²	1	1	yes	characteristic
35	C₅×C₄⋊C₁₆	C₂²	1	2	yes	—
36	C₅×#358	C₂²	1	2	yes	—
37	C₅×#358	C₂²	1	2	yes	—
38	C₅×#358	C₂²	1	2	yes	—
39	C₅×#357	C₂²	1	2	yes	—
40	C₅×C₂²⋊C₁₆	C₂²	1	2	yes	—
41	C₅×#346	C₂²	1	1	yes	characteristic
42	C₄×C₅×C₁₆	C₂²	1	1	yes	characteristic
43	#33787	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
44	C₂×C₅×#41	—	2	1	no	—
45	C₂²×C₅×Q₈	—	2	1	no	—
46	C₅×#137	—	4	4	no	—
47	C₅×#135	—	4	2	no	—
48	C₂×C₅×Q₁₆	—	2	1	no	—
49	C₂×C₅×Q₁₆	—	2	1	no	—
50	C₂×C₅×Q₁₆	—	2	1	no	—
51	C₂×C₅×Q₁₆	—	4	2	no	—
52	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
53	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
54	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
55	C₂×C₅×SD₁₆	—	2	1	no	—
56	C₂×C₅×SD₁₆	—	2	1	no	—
57	C₂×C₅×SD₁₆	—	2	1	no	—
58	C₂×C₅×D₈	—	2	1	no	—
59	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
60	C₂×C₅×D₈	C₂³	1	2	yes	—
61	C₂×C₅×M₁₆	D₄	1	1	yes	characteristic
62	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
63	C₅×C₄⋊Q₈	—	2	1	no	—
64	C₅×C₄⋊Q₈	—	2	1	no	—
65	C₅×#127	—	2	1	no	—
66	C₅×#125	—	2	1	no	—
67	C₅×#124	—	2	1	no	—
68	C₅×#124	—	2	1	no	—
69	C₅×#123	—	4	2	no	—
70	C₅×#123	—	4	2	no	—
71	C₅×C₂²⋊Q₈	—	4	2	no	—
72	C₅×#121	—	2	2	no	—
73	C₅×#121	—	4	2	no	—
74	C₄×C₅×D₄	—	2	2	no	—
75	C₅×#117	D₄	1	1	yes	characteristic
76	C₅×SD₃₂	—	4	2	no	—
77	C₅×SD₃₂	—	4	2	no	—
78	C₅×SD₃₂	—	4	2	no	—
79	C₅×D₁₆	—	4	2	no	—
80	C₂×C₅×C₁₆	C₂³	1	2	yes	—
81	C₂×C₅×C₁₆	C₂³	1	2	yes	—
82	C₅×#107	C₂³	1	2	yes	—
83	C₅×#106	—	2	1	no	—
84	C₅×#102	—	2	2	no	—
85	C₅×#102	—	2	2	no	—
86	C₅×#97	D₄	1	1	yes	characteristic
87	C₅×#97	D₄	1	1	yes	characteristic
88	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
89	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
90	#3176	C₂×C₅	1	1	yes	characteristic, complemented
91	#3156	C₂×C₅	1	1	yes	characteristic, complemented
92	#2250	C₂×C₅	1	1	yes	characteristic, complemented
93	#2248	C₂×C₅	1	1	yes	characteristic, complemented
94	#2245	C₂×C₅	1	1	yes	characteristic, complemented
95	#2242	C₂×C₅	1	1	yes	characteristic, complemented
96	#2210	C₂×C₅	1	2	yes	complemented
97	#2208	C₂×C₅	1	2	yes	complemented
98	#2186	C₂×C₅	1	2	yes	complemented
99	#2185	C₂×C₅	1	2	yes	complemented
100	#2164	C₂×C₅	1	1	yes	characteristic, complemented
101	C₅×#41	—	4	2	no	—
102	C₅×#41	—	4	2	no	—
103	C₂×C₅×Q₈	—	2	1	no	—
104	C₂×C₅×Q₈	—	2	1	no	—
105	C₂×C₅×Q₈	—	2	1	no	—
106	C₂×C₅×Q₈	—	4	2	no	—
107	C₂×C₅×Q₈	—	4	2	no	—
108	C₂×C₅×Q₈	—	4	1	no	—
109	C₂×C₅×D₄	—	2	2	no	—
110	C₂×C₅×D₄	—	2	1	no	—
111	C₂×C₅×D₄	—	4	1	no	—
112	C₂×C₅×D₄	—	4	2	no	—
113	C₂×C₅×D₄	—	4	2	no	—
114	C₂²×C₄×C₅	—	4	1	no	—
115	C₂²×C₄×C₅	—	4	1	no	—
116	C₂²×C₄×C₅	—	4	2	no	—
117	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
118	C₅×Q₁₆	—	2	2	no	—
119	C₅×Q₁₆	—	2	2	no	—
120	C₅×Q₁₆	—	2	2	no	—
121	C₅×Q₁₆	—	4	2	no	—
122	C₅×Q₁₆	—	4	2	no	—
123	C₅×Q₁₆	—	4	2	no	—
124	C₅×SD₁₆	—	4	2	no	—
125	C₅×SD₁₆	—	4	2	no	—
126	C₅×SD₁₆	—	4	2	no	—
127	C₅×D₈	—	2	2	no	—
128	C₅×D₈	—	2	2	no	—
129	C₅×D₈	—	2	2	no	—
130	C₅×D₈	—	4	2	no	—
131	C₅×M₁₆	—	2	2	no	—
132	C₂×C₅×C₈	—	2	2	no	—
133	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
134	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
135	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
136	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
137	C₅×C₄⋊C₄	—	2	2	no	—
138	C₅×C₄⋊C₄	—	4	2	no	—
139	C₅×C₄⋊C₄	—	4	2	no	—
140	C₅×C₄⋊C₄	—	4	2	no	—
141	C₅×C₄⋊C₄	D₈	1	2	yes	—
142	C₅×C₂²⋊C₄	—	4	2	no	—
143	C₅×C₂²⋊C₄	—	4	2	no	—
144	C₅×C₂²⋊C₄	—	4	2	no	—
145	C₅×C₂²⋊C₄	—	4	2	no	—
146	C₅×C₂²⋊C₄	D₈	1	2	yes	—
147	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
148	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
149	C₅×C₁₆	—	2	2	no	—
150	C₅×C₁₆	—	2	2	no	—
151	C₂×#137	—	2	1	no	—
152	C₂×#135	C₂²×C₅	1	1	yes	characteristic
153	C₂²×Q₁₆	C₂²×C₅	1	1	yes	characteristic
154	#540	—	2	1	no	—
155	#536	—	2	1	no	—
156	C₂×SD₃₂	C₂²×C₅	1	2	yes	—
157	C₂×SD₃₂	C₂²×C₅	1	2	yes	—
158	C₂×SD₃₂	C₂²×C₅	1	2	yes	—
159	C₂×D₁₆	C₂²×C₅	1	2	yes	—
160	#499	C₂²×C₅	1	1	yes	characteristic
161	#497	—	2	1	no	—
162	#497	—	2	1	no	—
163	#495	C₂²×C₅	1	1	yes	characteristic
164	#495	C₂²×C₅	1	1	yes	characteristic
165	#494	C₂²×C₅	1	1	yes	characteristic
166	#494	C₂²×C₅	1	1	yes	characteristic
167	#493	C₂²×C₅	1	1	yes	characteristic
168	#490	—	2	1	no	—
169	#469	—	2	1	no	—
170	#466	C₂²×C₅	1	2	yes	—
171	#442	—	2	1	no	—
172	C₄×D₈	C₂²×C₅	1	2	yes	—
173	#405	C₂²×C₅	1	1	yes	characteristic
174	C₄⋊C₁₆	C₂²×C₅	1	2	yes	—
175	#358	C₂²×C₅	1	2	yes	—
176	#358	C₂²×C₅	1	2	yes	—
177	#358	C₂²×C₅	1	2	yes	—
178	#357	C₂²×C₅	1	2	yes	—
179	C₂²⋊C₁₆	C₂²×C₅	1	2	yes	—
180	#346	C₂²×C₅	1	1	yes	characteristic
181	C₄×C₁₆	C₂²×C₅	1	1	yes	characteristic
182	C₂³×C₅	—	4	1	no	—
183	C₂³×C₅	—	4	2	no	—
184	C₂³×C₅	C₂×D₈	1	1	yes	characteristic
185	C₅×Q₈	—	4	1	no	—
186	C₅×Q₈	—	4	1	no	—
187	C₅×Q₈	—	4	1	no	—
188	C₅×Q₈	—	4	1	no	—
189	C₅×Q₈	—	4	1	no	—
190	C₅×Q₈	—	4	1	no	—
191	C₅×Q₈	—	8	2	no	—
192	C₅×D₄	—	4	1	no	—
193	C₅×D₄	—	4	2	no	—
194	C₅×D₄	—	4	2	no	—
195	C₅×D₄	—	4	1	no	—
196	C₅×D₄	—	8	2	no	—
197	C₅×D₄	—	16	2	no	—
198	C₅×D₄	—	16	2	no	—
199	C₂×C₄×C₅	—	2	1	no	—
200	C₂×C₄×C₅	—	2	1	no	—
201	C₂×C₄×C₅	—	4	2	no	—
202	C₂×C₄×C₅	—	4	1	no	—
203	C₂×C₄×C₅	—	4	1	no	—
204	C₂×C₄×C₅	—	4	1	no	—
205	C₂×C₄×C₅	—	8	2	no	—
206	C₂×C₄×C₅	—	8	2	no	—
207	C₂×C₄×C₅	—	16	2	no	—
208	C₂×C₄×C₅	C₂×D₈	1	2	yes	—
209	C₂×C₄×C₅	C₂×D₈	1	2	yes	—
210	C₂×C₄×C₅	C₂×D₈	1	1	yes	characteristic
211	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
212	C₅×C₈	—	2	1	no	—
213	C₅×C₈	—	2	1	no	—
214	C₅×C₈	AGL(1,ℤ/8)	1	2	yes	—
215	C₅×C₈	H(5,𝔽₂)	1	2	yes	—
216	C₂×#41	—	2	1	no	—
217	C₂²×Q₈	—	2	1	no	—
218	#137	—	4	4	no	—
219	#135	—	4	2	no	—
220	C₂×Q₁₆	—	2	1	no	—
221	C₂×Q₁₆	—	2	1	no	—
222	C₂×Q₁₆	—	2	1	no	—
223	C₂×Q₁₆	—	4	2	no	—
224	C₂×Q₁₆	C₂³×C₅	1	1	yes	characteristic
225	C₂×Q₁₆	C₂³×C₅	1	1	yes	characteristic
226	C₂×Q₁₆	C₂³×C₅	1	1	yes	characteristic
227	C₂×SD₁₆	—	2	1	no	—
228	C₂×SD₁₆	—	2	1	no	—
229	C₂×SD₁₆	—	2	1	no	—
230	C₂×D₈	—	2	1	no	—
231	C₂×D₈	C₂³×C₅	1	1	yes	characteristic
232	C₂×D₈	C₂³×C₅	1	2	yes	—
233	C₂×M₁₆	C₅×D₄	1	1	yes	characteristic
234	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
235	C₄⋊Q₈	—	2	1	no	—
236	C₄⋊Q₈	—	2	1	no	—
237	#127	—	2	1	no	—
238	#125	—	2	1	no	—
239	#124	—	2	1	no	—
240	#124	—	2	1	no	—
241	#123	—	4	2	no	—
242	#123	—	4	2	no	—
243	C₂²⋊Q₈	—	4	2	no	—
244	#121	—	2	2	no	—
245	#121	—	4	2	no	—
246	C₄×D₄	—	2	2	no	—
247	#117	C₅×D₄	1	1	yes	characteristic
248	SD₃₂	—	4	2	no	—
249	SD₃₂	—	4	2	no	—
250	SD₃₂	—	4	2	no	—
251	D₁₆	—	4	2	no	—
252	C₂×C₁₆	C₂³×C₅	1	2	yes	—
253	C₂×C₁₆	C₂³×C₅	1	2	yes	—
254	#107	C₂³×C₅	1	2	yes	—
255	#106	—	2	1	no	—
256	#102	—	2	2	no	—
257	#102	—	2	2	no	—
258	#97	C₅×D₄	1	1	yes	characteristic
259	#97	C₅×D₄	1	1	yes	characteristic
260	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
261	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
262	C₂²×C₅	—	2	2	no	—
263	C₂²×C₅	—	2	1	no	—
264	C₂²×C₅	—	8	2	no	—
265	C₂²×C₅	—	8	2	no	—
266	C₂²×C₅	—	8	2	no	—
267	C₂²×C₅	—	8	1	no	—
268	C₂²×C₅	—	8	2	no	—
269	C₂²×C₅	C₂²×D₈	1	1	yes	characteristic
270	C₄×C₅	—	2	2	no	—
271	C₄×C₅	—	2	2	no	—
272	C₄×C₅	—	2	1	no	—
273	C₄×C₅	—	8	2	no	—
274	C₄×C₅	—	8	1	no	—
275	C₄×C₅	—	8	1	no	—
276	C₄×C₅	—	8	1	no	—
277	C₄×C₅	#535	1	1	yes	characteristic
278	C₄×C₅	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
279	#41	—	4	2	no	—
280	#41	—	4	2	no	—
281	C₂×Q₈	—	2	1	no	—
282	C₂×Q₈	—	2	1	no	—
283	C₂×Q₈	—	2	1	no	—
284	C₂×Q₈	—	4	2	no	—
285	C₂×Q₈	—	4	2	no	—
286	C₂×Q₈	—	4	1	no	—
287	C₂×D₄	—	2	2	no	—
288	C₂×D₄	—	2	1	no	—
289	C₂×D₄	—	4	1	no	—
290	C₂×D₄	—	4	2	no	—
291	C₂×D₄	—	4	2	no	—
292	C₂²×C₄	—	4	1	no	—
293	C₂²×C₄	—	4	1	no	—
294	C₂²×C₄	—	4	2	no	—
295	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
296	Q₁₆	—	2	2	no	—
297	Q₁₆	—	2	2	no	—
298	Q₁₆	—	2	2	no	—
299	Q₁₆	—	4	2	no	—
300	Q₁₆	—	4	2	no	—
301	Q₁₆	—	4	2	no	—
302	SD₁₆	—	4	2	no	—
303	SD₁₆	—	4	2	no	—
304	SD₁₆	—	4	2	no	—
305	D₈	—	2	2	no	—
306	D₈	—	2	2	no	—
307	D₈	—	2	2	no	—
308	D₈	—	4	2	no	—
309	M₁₆	—	2	2	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
312	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
313	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
314	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
315	C₄⋊C₄	—	2	2	no	—
316	C₄⋊C₄	—	4	2	no	—
317	C₄⋊C₄	—	4	2	no	—
318	C₄⋊C₄	—	4	2	no	—
319	C₄⋊C₄	C₅×D₈	1	2	yes	—
320	C₂²⋊C₄	—	4	2	no	—
321	C₂²⋊C₄	—	4	2	no	—
322	C₂²⋊C₄	—	4	2	no	—
323	C₂²⋊C₄	—	4	2	no	—
324	C₂²⋊C₄	C₅×D₈	1	2	yes	—
325	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
326	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
327	C₁₆	—	2	2	no	—
328	C₁₆	—	2	2	no	—
329	C₂×C₅	—	4	1	no	—
330	C₂×C₅	—	16	2	no	—
331	C₂×C₅	—	16	1	no	—
332	C₂×C₅	#3205	1	1	yes	characteristic
333	C₂×C₅	#3416	1	2	yes	—
334	C₂³	—	4	1	no	—
335	C₂³	—	4	2	no	—
336	C₂³	C₂×C₅×D₈	1	1	yes	characteristic
337	Q₈	—	4	1	no	—
338	Q₈	—	4	1	no	—
339	Q₈	—	4	1	no	—
340	Q₈	—	4	1	no	—
341	Q₈	—	4	1	no	—
342	Q₈	—	4	1	no	—
343	Q₈	—	8	2	no	—
344	D₄	—	4	1	no	—
345	D₄	—	4	2	no	—
346	D₄	—	4	2	no	—
347	D₄	—	4	1	no	—
348	D₄	—	8	2	no	—
349	D₄	—	16	2	no	—
350	D₄	—	16	2	no	—
351	C₂×C₄	—	2	1	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	4	1	no	—
355	C₂×C₄	—	4	1	no	—
356	C₂×C₄	—	4	1	no	—
357	C₂×C₄	—	8	2	no	—
358	C₂×C₄	—	8	2	no	—
359	C₂×C₄	—	16	2	no	—
360	C₂×C₄	C₂×C₅×D₈	1	2	yes	—
361	C₂×C₄	C₂×C₅×D₈	1	2	yes	—
362	C₂×C₄	C₂×C₅×D₈	1	1	yes	characteristic
363	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
364	C₈	—	2	1	no	—
365	C₈	—	2	1	no	—
366	C₈	C₅×AGL(1,ℤ/8)	1	2	yes	—
367	C₈	C₅×H(5,𝔽₂)	1	2	yes	—
368	C₅	#33787	1	1	yes	characteristic, direct product factor, Sylow
369	C₂²	—	2	2	no	—
370	C₂²	—	2	1	no	—
371	C₂²	—	8	2	no	—
372	C₂²	—	8	2	no	—
373	C₂²	—	8	2	no	—
374	C₂²	—	8	1	no	—
375	C₂²	—	8	2	no	—
376	C₂²	C₂²×C₅×D₈	1	1	yes	characteristic
377	C₄	—	2	2	no	—
378	C₄	—	2	2	no	—
379	C₄	—	2	1	no	—
380	C₄	—	8	2	no	—
381	C₄	—	8	1	no	—
382	C₄	—	8	1	no	—
383	C₄	—	8	1	no	—
384	C₄	C₅×#535	1	1	yes	characteristic
385	C₄	C₂×C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
386	C₂	—	4	1	no	—
387	C₂	—	16	2	no	—
388	C₂	—	16	1	no	—
389	C₂	C₅×#3205	1	1	yes	characteristic
390	C₂	C₅×#3416	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₅	C₂²×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₅
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅ ◁ C₅×#117 ◁ C₅×#405 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅×#3176	C₂	semidirect
2. C₅×#3156	C₂	semidirect
3. C₅×#2250	C₂	semidirect
4. C₅×#2248	C₂	semidirect
5. C₅×#2245	C₂	semidirect
6. C₅×#2242	C₂	semidirect
7. C₅×#2210	C₂	semidirect
8. C₅×#2208	C₂	semidirect
9. C₅×#2186	C₂	semidirect
10. C₅×#2185	C₂	semidirect
11. C₅×#2164	C₂	semidirect
43. #33787	C₅	direct (N × H)
90. #3176	C₂×C₅	semidirect
91. #3156	C₂×C₅	semidirect
92. #2250	C₂×C₅	semidirect
93. #2248	C₂×C₅	semidirect
94. #2245	C₂×C₅	semidirect
95. #2242	C₂×C₅	semidirect
96. #2210	C₂×C₅	semidirect
97. #2208	C₂×C₅	semidirect
98. #2186	C₂×C₅	semidirect
99. #2185	C₂×C₅	semidirect
100. #2164	C₂×C₅	semidirect
368. C₅	#33787	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅×#3176	2
C₅×#3156	2
C₅×#2250	2
C₅×#2248	2
C₅×#2245	2
C₅×#2242	2
C₅×#2210	2
C₅×#2208	2
C₅×#2186	2
C₅×#2185	2
C₅×#2164	2
#33787	5

Subgroups — C5×#33787 #11956507

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#33787 #11956507