Subgroups — C₂×#20246500 #26375957

Order 12032.

3158 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20246500	C₂	1	16	yes	maximal, direct product factor
2	C₂×#15689030	C₂	1	2	yes	maximal, complemented
3	C₂×#15689016	C₂	1	4	yes	maximal, complemented
4	C₂×#15689003	C₂	1	2	yes	maximal
5	C₂×C₂²⋊C₄×Dic₄₇	C₂	1	4	yes	maximal, complemented
6	C₂×#15688969	C₂	1	2	yes	maximal, complemented
7	C₂²×#124×C₄₇	C₂	1	1	yes	maximal, characteristic
8	C₂⁴×Dic₄₇	C₂²	1	2	yes	—
9	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
10	C₂²×C₂²⋊Dic₄₇	C₂²	1	4	yes	—
11	C₂²×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
12	C₂²×C₄×Dic₄₇	C₂²	1	4	yes	—
13	C₂²×C₄×Dic₄₇	C₂²	1	2	yes	—
14	#15689030	C₂²	1	16	yes	complemented
15	#15689016	C₂²	1	32	yes	complemented
16	#15689003	C₂²	1	16	yes	—
17	C₂²⋊C₄×Dic₄₇	C₂²	1	32	yes	complemented
18	#15688969	C₂²	1	16	yes	complemented
19	C₂×C₄₇⋊#95	C₂²	1	4	yes	—
20	C₂×C₄₇⋊#95	C₂²	1	2	yes	—
21	C₂×C₄₇⋊#95	C₂²	1	4	yes	—
22	C₂×C₄₇⋊#95	C₂²	1	2	yes	—
23	C₂³×Q₈×C₄₇	C₂²	1	1	yes	characteristic
24	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic
25	C₂×#124×C₄₇	C₄	1	16	yes	complemented
26	C₂×#124×C₄₇	C₂²	1	8	yes	—
27	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	4	yes	—
28	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
29	C₂³×Dic₄₇	—	2	16	no	—
30	C₂³×Dic₄₇	—	4	4	no	—
31	C₂³×Dic₄₇	C₂³	1	4	yes	—
32	C₂³×Dic₄₇	C₂³	1	8	yes	—
33	C₂³×Dic₄₇	C₂³	1	4	yes	—
34	C₂×C₄⋊Dic₄₇	—	4	4	no	—
35	C₂×C₄⋊Dic₄₇	C₂³	1	8	yes	—
36	C₂×C₂²⋊Dic₄₇	—	2	16	no	—
37	C₂×C₂²⋊Dic₄₇	—	4	4	no	—
38	C₂×C₂²⋊Dic₄₇	C₂³	1	16	yes	—
39	C₂×C₂²⋊Dic₄₇	C₂³	1	8	yes	—
40	C₂×C₄×Dic₄₇	—	2	16	no	—
41	C₂×C₄×Dic₄₇	—	4	4	no	—
42	C₂×C₄×Dic₄₇	C₂³	1	16	yes	—
43	C₂×C₄×Dic₄₇	C₂³	1	8	yes	—
44	C₄₇⋊#95	C₂³	1	8	yes	—
45	C₄₇⋊#95	C₂³	1	16	yes	—
46	C₄₇⋊#95	C₂³	1	8	yes	—
47	C₄₇⋊#95	C₂³	1	16	yes	—
48	C₂⁵×C₄₇	C₂³	1	2	yes	—
49	C₂²×Q₈×C₄₇	—	4	2	no	—
50	C₂²×Q₈×C₄₇	—	4	2	no	—
51	C₂²×Q₈×C₄₇	C₂×C₄	1	8	yes	complemented
52	C₂²×Q₈×C₄₇	C₂³	1	4	yes	—
53	C₂²×D₄×C₄₇	—	4	2	no	—
54	C₂²×D₄×C₄₇	—	4	2	no	—
55	C₂²×D₄×C₄₇	C₂×C₄	1	8	yes	—
56	C₂²×D₄×C₄₇	C₂³	1	4	yes	—
57	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
58	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
59	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
60	#124×C₄₇	C₂×C₄	1	64	yes	complemented
61	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	32	yes	complemented
62	C₂×C₂²⋊C₄×C₄₇	C₂³	1	16	yes	—
63	C₂×C₄²×C₄₇	C₂×C₄	1	8	yes	complemented
64	C₂×C₄²×C₄₇	C₂³	1	4	yes	—
65	C₂⁴×C₄₇	—	2	8	no	—
66	C₂⁴×C₄₇	—	2	8	no	—
67	C₂⁴×C₄₇	—	2	4	no	—
68	C₂⁴×C₄₇	—	2	4	no	—
69	C₂⁴×C₄₇	C₂²×C₄	1	8	yes	—
70	C₂⁴×C₄₇	C₂⁴	1	4	yes	—
71	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
72	C₂×Q₈×C₄₇	—	4	16	no	—
73	C₂×Q₈×C₄₇	—	4	4	no	—
74	C₂×Q₈×C₄₇	—	4	4	no	—
75	C₂×Q₈×C₄₇	C₂²×C₄	1	16	yes	complemented
76	C₂×D₄×C₄₇	—	4	16	no	—
77	C₂×D₄×C₄₇	—	4	4	no	—
78	C₂×D₄×C₄₇	—	4	4	no	—
79	C₂×D₄×C₄₇	C₂²×C₄	1	16	yes	—
80	C₂²×C₄×C₄₇	—	2	8	no	—
81	C₂²×C₄×C₄₇	—	2	2	no	—
82	C₂²×C₄×C₄₇	—	2	2	no	—
83	C₂²×C₄×C₄₇	—	2	4	no	—
84	C₂²×C₄×C₄₇	—	2	4	no	—
85	C₂²×C₄×C₄₇	C₂²×C₄	1	8	yes	—
86	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
87	C₂²×C₄×C₄₇	C₂²×C₄	1	8	yes	—
88	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
89	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
90	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
91	C₂²×Dic₄₇	—	2	8	no	—
92	C₂²×Dic₄₇	—	2	8	no	—
93	C₂²×Dic₄₇	—	2	8	no	—
94	C₂²×Dic₄₇	—	2	8	no	—
95	C₂²×Dic₄₇	—	2	8	no	—
96	C₂²×Dic₄₇	—	2	32	no	—
97	C₂²×Dic₄₇	—	4	8	no	—
98	C₂²×Dic₄₇	—	4	32	no	—
99	C₂²×Dic₄₇	#41	1	16	yes	—
100	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
101	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
102	C₂²⋊C₄×C₄₇	C₂²×C₄	1	64	yes	complemented
103	C₄²×C₄₇	C₂²×C₄	1	16	yes	complemented
104	C₂²⋊Dic₄₇	—	2	32	no	—
105	C₂²⋊Dic₄₇	—	4	8	no	—
106	C₄⋊Dic₄₇	—	4	8	no	—
107	C₄×Dic₄₇	—	2	32	no	—
108	C₄×Dic₄₇	—	4	8	no	—
109	C₂³×C₄₇	—	2	32	no	—
110	C₂³×C₄₇	—	2	16	no	—
111	C₂³×C₄₇	—	2	8	no	—
112	C₂³×C₄₇	—	2	8	no	—
113	C₂³×C₄₇	—	2	4	no	—
114	C₂³×C₄₇	—	2	4	no	—
115	C₂³×C₄₇	—	4	8	no	—
116	C₂³×C₄₇	—	4	8	no	—
117	C₂³×C₄₇	—	4	16	no	—
118	C₂³×C₄₇	C₂³×C₄	1	8	yes	—
119	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
120	C₂³×C₄₇	C₂×#41	1	8	yes	—
121	C₂³×C₄₇	H(5,𝔽₂)	1	2	yes	—
122	C₂³×C₄₇	H(5,𝔽₂)	1	2	yes	—
123	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
124	Q₈×C₄₇	—	4	16	no	—
125	D₄×C₄₇	—	4	16	no	—
126	C₂×C₄×C₄₇	—	2	16	no	—
127	C₂×C₄×C₄₇	—	2	8	no	—
128	C₂×C₄×C₄₇	—	2	16	no	—
129	C₂×C₄×C₄₇	—	2	8	no	—
130	C₂×C₄×C₄₇	—	2	4	no	—
131	C₂×C₄×C₄₇	—	2	4	no	—
132	C₂×C₄×C₄₇	—	2	2	no	—
133	C₂×C₄×C₄₇	—	2	2	no	—
134	C₂×C₄×C₄₇	C₂³×C₄	1	8	yes	—
135	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
136	C₂×C₄×C₄₇	C₂³×C₄	1	8	yes	—
137	C₂×Dic₄₇	—	2	32	no	—
138	C₂×Dic₄₇	—	2	8	no	—
139	C₂×Dic₄₇	—	2	8	no	—
140	C₂×Dic₄₇	—	2	8	no	—
141	C₂×Dic₄₇	—	2	8	no	—
142	C₂×Dic₄₇	—	2	8	no	—
143	C₂×Dic₄₇	—	4	32	no	—
144	C₂×Dic₄₇	—	4	16	no	—
145	C₂×Dic₄₇	C₂×#41	1	16	yes	—
146	C₂×#2372	—	47	1	no	maximal, Sylow
147	C₂²×C₄₇	—	2	16	no	—
148	C₂²×C₄₇	—	2	8	no	—
149	C₂²×C₄₇	—	4	32	no	—
150	C₂²×C₄₇	—	4	4	no	—
151	C₂²×C₄₇	—	4	4	no	—
152	C₂²×C₄₇	—	4	8	no	—
153	C₂²×C₄₇	C₄×#41	1	8	yes	—
154	C₂²×C₄₇	#518	1	4	yes	—
155	C₂²×C₄₇	#551	1	8	yes	—
156	C₂²×C₄₇	#555	1	8	yes	—
157	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
158	C₂²×C₄₇	C₂²×#41	1	4	yes	—
159	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
160	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
161	C₄×C₄₇	—	2	8	no	—
162	C₄×C₄₇	—	2	4	no	—
163	C₄×C₄₇	—	2	8	no	—
164	Dic₄₇	—	2	16	no	—
165	Dic₄₇	—	4	8	no	—
166	C₂²×#124	D₄₇	1	1	yes	characteristic
167	#2372	—	47	16	no	—
168	C₂×#391	—	47	2	no	—
169	C₂×#388	—	47	4	no	—
170	C₂×#386	—	47	2	no	—
171	C₂×C₄×C₂²⋊C₄	—	47	4	no	—
172	C₂×#376	—	47	2	no	—
173	C₂×C₄₇	—	4	8	no	—
174	C₂×C₄₇	#2372	1	8	yes	complemented
175	C₂×C₄₇	C₂×C₄×#41	1	2	yes	—
176	C₂×C₄₇	C₂×#518	1	1	yes	characteristic
177	C₂×C₄₇	C₂×#551	1	2	yes	—
178	C₂×C₄₇	C₂×#555	1	2	yes	—
179	C₂³×Q₈	C₂×D₄₇	1	1	yes	characteristic
180	C₂³×D₄	C₂×D₄₇	1	1	yes	characteristic
181	C₂⁴×C₄	—	47	2	no	—
182	C₂×#124	Dic₄₇	1	16	yes	complemented
183	C₂×#124	C₂×D₄₇	1	8	yes	—
184	C₂²×C₄⋊C₄	—	47	2	no	—
185	C₂²×C₂²⋊C₄	—	47	4	no	—
186	C₂²×C₂²⋊C₄	—	47	2	no	—
187	C₂²×C₂²⋊C₄	C₂×D₄₇	1	4	yes	—
188	C₂²×C₄²	—	47	4	no	—
189	C₂²×C₄²	—	47	2	no	—
190	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic
191	#391	—	47	16	no	—
192	#388	—	47	32	no	—
193	#386	—	47	16	no	—
194	C₄×C₂²⋊C₄	—	47	32	no	—
195	#376	—	47	16	no	—
196	C₂×#95	—	47	2	no	—
197	C₂×#95	—	47	4	no	—
198	C₂×#95	—	47	2	no	—
199	C₂×#95	—	47	4	no	—
200	C₄₇	C₂×#2372	1	1	yes	characteristic, complemented, Sylow
201	C₂⁵	C₂²×D₄₇	1	2	yes	—
202	C₂²×Q₈	—	4	2	no	—
203	C₂²×Q₈	—	4	2	no	—
204	C₂²×Q₈	C₂×Dic₄₇	1	8	yes	complemented
205	C₂²×Q₈	C₂²×D₄₇	1	4	yes	—
206	C₂²×D₄	—	4	2	no	—
207	C₂²×D₄	—	4	2	no	—
208	C₂²×D₄	C₂×Dic₄₇	1	8	yes	—
209	C₂²×D₄	C₂²×D₄₇	1	4	yes	—
210	C₂³×C₄	—	47	4	no	—
211	C₂³×C₄	—	47	4	no	—
212	C₂³×C₄	—	47	8	no	—
213	C₂³×C₄	—	94	16	no	—
214	C₂³×C₄	—	188	4	no	—
215	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
216	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
217	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
218	#124	C₂×Dic₄₇	1	64	yes	complemented
219	C₂×C₄⋊C₄	—	47	8	no	—
220	C₂×C₄⋊C₄	—	188	4	no	—
221	C₂×C₂²⋊C₄	—	47	16	no	—
222	C₂×C₂²⋊C₄	—	47	8	no	—
223	C₂×C₂²⋊C₄	—	94	16	no	—
224	C₂×C₂²⋊C₄	—	188	4	no	—
225	C₂×C₂²⋊C₄	C₂×Dic₄₇	1	32	yes	complemented
226	C₂×C₂²⋊C₄	C₂²×D₄₇	1	16	yes	—
227	C₂×C₄²	—	47	16	no	—
228	C₂×C₄²	—	47	8	no	—
229	C₂×C₄²	—	94	16	no	—
230	C₂×C₄²	—	188	4	no	—
231	C₂×C₄²	C₂×Dic₄₇	1	8	yes	complemented
232	C₂×C₄²	C₂²×D₄₇	1	4	yes	—
233	#95	—	47	8	no	—
234	#95	—	47	16	no	—
235	#95	—	47	8	no	—
236	#95	—	47	16	no	—
237	C₂⁴	—	2	8	no	—
238	C₂⁴	—	2	8	no	—
239	C₂⁴	—	2	4	no	—
240	C₂⁴	—	2	4	no	—
241	C₂⁴	C₂²×Dic₄₇	1	8	yes	—
242	C₂⁴	C₂³×D₄₇	1	4	yes	—
243	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
244	C₂×Q₈	—	4	16	no	—
245	C₂×Q₈	—	4	4	no	—
246	C₂×Q₈	—	4	4	no	—
247	C₂×Q₈	C₂²×Dic₄₇	1	16	yes	complemented
248	C₂×D₄	—	4	16	no	—
249	C₂×D₄	—	4	4	no	—
250	C₂×D₄	—	4	4	no	—
251	C₂×D₄	C₂²×Dic₄₇	1	16	yes	—
252	C₂²×C₄	—	2	8	no	—
253	C₂²×C₄	—	2	4	no	—
254	C₂²×C₄	—	2	4	no	—
255	C₂²×C₄	—	2	2	no	—
256	C₂²×C₄	—	2	2	no	—
257	C₂²×C₄	—	47	16	no	—
258	C₂²×C₄	—	47	8	no	—
259	C₂²×C₄	—	47	8	no	—
260	C₂²×C₄	—	94	32	no	—
261	C₂²×C₄	—	94	8	no	—
262	C₂²×C₄	—	94	8	no	—
263	C₂²×C₄	—	94	8	no	—
264	C₂²×C₄	—	94	8	no	—
265	C₂²×C₄	—	94	8	no	—
266	C₂²×C₄	—	188	8	no	—
267	C₂²×C₄	—	188	32	no	—
268	C₂²×C₄	C₂²×Dic₄₇	1	8	yes	—
269	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
270	C₂²×C₄	C₂²×Dic₄₇	1	8	yes	—
271	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
272	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
273	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
274	C₄⋊C₄	—	188	8	no	—
275	C₂²⋊C₄	—	94	32	no	—
276	C₂²⋊C₄	—	188	8	no	—
277	C₂²⋊C₄	C₂²×Dic₄₇	1	64	yes	complemented
278	C₄²	—	94	32	no	—
279	C₄²	—	188	8	no	—
280	C₄²	C₂²×Dic₄₇	1	16	yes	complemented
281	C₂³	—	2	32	no	—
282	C₂³	—	2	16	no	—
283	C₂³	—	2	8	no	—
284	C₂³	—	2	8	no	—
285	C₂³	—	2	4	no	—
286	C₂³	—	2	4	no	—
287	C₂³	—	4	8	no	—
288	C₂³	—	4	8	no	—
289	C₂³	—	4	16	no	—
290	C₂³	C₂³×Dic₄₇	1	8	yes	—
291	C₂³	C₂³×Dic₄₇	1	2	yes	—
292	C₂³	#41×D₄₇	1	8	yes	—
293	C₂³	#13094069	1	2	yes	—
294	C₂³	#13094069	1	2	yes	—
295	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
296	Q₈	—	4	16	no	—
297	D₄	—	4	16	no	—
298	C₂×C₄	—	2	16	no	—
299	C₂×C₄	—	2	8	no	—
300	C₂×C₄	—	2	16	no	—
301	C₂×C₄	—	2	8	no	—
302	C₂×C₄	—	2	4	no	—
303	C₂×C₄	—	2	4	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	47	16	no	—
307	C₂×C₄	—	94	32	no	—
308	C₂×C₄	—	94	8	no	—
309	C₂×C₄	—	94	8	no	—
310	C₂×C₄	—	94	8	no	—
311	C₂×C₄	—	94	8	no	—
312	C₂×C₄	—	94	8	no	—
313	C₂×C₄	—	188	32	no	—
314	C₂×C₄	—	188	16	no	—
315	C₂×C₄	C₂³×Dic₄₇	1	8	yes	—
316	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
317	C₂×C₄	C₂³×Dic₄₇	1	8	yes	—
318	C₂²	—	2	16	no	—
319	C₂²	—	2	8	no	—
320	C₂²	—	4	4	no	—
321	C₂²	—	4	4	no	—
322	C₂²	—	4	8	no	—
323	C₂²	—	4	32	no	—
324	C₂²	#41×Dic₄₇	1	8	yes	—
325	C₂²	#15689598	1	4	yes	—
326	C₂²	#15689803	1	8	yes	—
327	C₂²	#15689835	1	8	yes	—
328	C₂²	C₂⁴×Dic₄₇	1	1	yes	characteristic
329	C₂²	C₂×#41×D₄₇	1	4	yes	—
330	C₂²	C₂×#13094069	1	1	yes	characteristic
331	C₂²	C₂×#13094069	1	1	yes	characteristic
332	C₄	—	2	8	no	—
333	C₄	—	2	4	no	—
334	C₄	—	2	8	no	—
335	C₄	—	94	16	no	—
336	C₄	—	188	8	no	—
337	C₂	—	4	8	no	—
338	C₂	#20246500	1	8	yes	direct product factor
339	C₂	C₂×#41×Dic₄₇	1	2	yes	—
340	C₂	C₂×#15689598	1	1	yes	characteristic
341	C₂	C₂×#15689803	1	2	yes	—
342	C₂	C₂×#15689835	1	2	yes	—

	subgroup	G/H
center	C₂⁴	C₂³×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Frattini	C₂³	C₂⁴×D₄₇
Fitting	C₂²×#124×C₄₇	C₂
socle	C₂⁴×C₄₇	C₂⁴
prime radical	C₂³×D₄×C₄₇	C₂²
cosocle	C₂³×C₄₇	C₂⁵
hypercenter	C₂²×#124	D₄₇
hypocenter	C₄₇	C₂×#2372
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂⁴ ◁ C₂²×#124

Complements

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

N	H ≅ G/N	type
1. #20246500	C₂	direct (N × H)
2. C₂×#15689030	C₂	semidirect
3. C₂×#15689016	C₂	semidirect
5. C₂×C₂²⋊C₄×Dic₄₇	C₂	semidirect
6. C₂×#15688969	C₂	semidirect
14. #15689030	C₂²	semidirect
15. #15689016	C₂²	semidirect
17. C₂²⋊C₄×Dic₄₇	C₂²	semidirect
18. #15688969	C₂²	semidirect
25. C₂×#124×C₄₇	C₄	semidirect
51. C₂²×Q₈×C₄₇	C₂×C₄	semidirect
60. #124×C₄₇	C₂×C₄	semidirect
61. C₂×C₂²⋊C₄×C₄₇	C₂×C₄	semidirect
63. C₂×C₄²×C₄₇	C₂×C₄	semidirect
75. C₂×Q₈×C₄₇	C₂²×C₄	semidirect
102. C₂²⋊C₄×C₄₇	C₂²×C₄	semidirect
103. C₄²×C₄₇	C₂²×C₄	semidirect
174. C₂×C₄₇	#2372	semidirect
182. C₂×#124	Dic₄₇	semidirect
200. C₄₇	C₂×#2372	semidirect
204. C₂²×Q₈	C₂×Dic₄₇	semidirect
218. #124	C₂×Dic₄₇	semidirect
225. C₂×C₂²⋊C₄	C₂×Dic₄₇	semidirect
231. C₂×C₄²	C₂×Dic₄₇	semidirect
247. C₂×Q₈	C₂²×Dic₄₇	semidirect
277. C₂²⋊C₄	C₂²×Dic₄₇	semidirect
280. C₄²	C₂²×Dic₄₇	semidirect
338. C₂	#20246500	direct (N × H)

Maximal subgroups

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

subgroup	index
#20246500	2
C₂×#15689030	2
C₂×#15689016	2
C₂×#15689003	2
C₂×C₂²⋊C₄×Dic₄₇	2
C₂×#15688969	2
C₂²×#124×C₄₇	2
C₂×#2372	47

Subgroups — C2×#20246500 #26375957

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20246500 #26375957