Subgroups — #26369739

Order 12032.

646 conjugacy classes of subgroups.

The subgroup lattice has 400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256524	C₂	1	1	yes	maximal, characteristic
2	#20252306	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252273	C₂	1	1	yes	maximal, characteristic, complemented
4	#20245288	C₂	1	4	yes	maximal, complemented
5	#20245281	C₂	1	4	yes	maximal, complemented
6	C₂×#15688946	C₂	1	1	yes	maximal, characteristic, complemented
7	#20245138	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#15688934	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#2110	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13094046	C₂²	1	1	yes	characteristic
11	C₂×#13094046	C₂²	1	1	yes	characteristic
12	#15689889	—	2	1	no	—
13	#15689603	—	2	1	no	—
14	#15689566	C₄	1	2	yes	complemented
15	#15689566	C₂²	1	2	yes	—
16	#15689561	C₄	1	2	yes	complemented
17	#15689561	C₂²	1	2	yes	—
18	#15689555	C₄	1	4	yes	complemented
19	#15689246	C₂²	1	4	yes	—
20	#15689241	—	2	2	no	—
21	#15689236	C₂²	1	2	yes	complemented
22	#15689231	C₂²	1	2	yes	complemented
23	C₄×#10625325	—	2	2	no	—
24	C₂×#13093960	C₂²	1	1	yes	characteristic
25	C₂×#13093956	C₂²	1	1	yes	characteristic
26	#15689141	—	2	1	no	—
27	#15689125	—	2	1	no	—
28	#15688946	C₂²	1	4	yes	complemented
29	#15688940	C₂²	1	2	yes	complemented
30	#15688937	C₂²	1	2	yes	complemented
31	#15688934	C₂²	1	4	yes	—
32	C₂×M₃₂×C₄₇	C₂²	1	1	yes	characteristic
33	C₂×M₃₂×C₄₇	C₂²	1	1	yes	characteristic
34	C₄₇×#405	C₂²	1	1	yes	characteristic
35	C₄₇×#347	C₂²	1	4	yes	complemented
36	C₂×#10625350	—	2	1	no	—
37	C₂×#10625350	—	2	1	no	—
38	#13094046	—	2	1	no	—
39	#13094046	—	2	1	no	—
40	#13094046	—	2	1	no	—
41	#13094046	—	2	1	no	—
42	#13094046	C₂×C₄	1	2	yes	—
43	#13094046	C₂×C₄	1	2	yes	—
44	#13094046	C₂×C₄	1	2	yes	complemented
45	#13094046	C₂³	1	2	yes	—
46	C₂×Dic₁₈₈	C₂×C₄	1	1	yes	characteristic, complemented
47	C₂×Dic₁₈₈	C₂³	1	1	yes	characteristic
48	C₂×#10625325	—	2	1	no	—
49	C₂×#10625325	—	2	1	no	—
50	C₂×D₃₇₆	C₂×C₄	1	1	yes	characteristic, complemented
51	C₂×D₃₇₆	C₂³	1	1	yes	characteristic
52	#13094032	—	4	2	no	—
53	#13094030	—	2	4	no	—
54	C₂×#10625329	—	2	1	no	—
55	M₁₆×D₄₇	—	4	2	no	—
56	C₄×Dic₉₄	—	2	2	no	—
57	C₄×D₁₈₈	—	2	2	no	—
58	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
59	#13093982	—	4	1	no	—
60	C₂×C₄⋊Dic₄₇	—	2	1	no	—
61	C₄⋊C₄×D₄₇	—	4	1	no	—
62	Dic₃₇₆	C₂×C₄	1	4	yes	complemented
63	#13093969	C₂×C₄	1	4	yes	complemented
64	#13093969	C₂×C₄	1	4	yes	complemented
65	D₇₅₂	C₂×C₄	1	4	yes	complemented
66	#13093960	—	2	1	no	—
67	#13093960	C₂³	1	2	yes	—
68	#13093956	—	2	1	no	—
69	#13093956	C₂³	1	2	yes	—
70	#13093952	—	2	4	no	—
71	#13093949	—	2	2	no	—
72	#13093946	—	2	2	no	—
73	C₂×M₁₆×C₄₇	D₄	1	1	yes	characteristic
74	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
75	#117×C₄₇	D₄	1	1	yes	characteristic
76	M₃₂×C₄₇	—	2	1	no	—
77	M₃₂×C₄₇	C₂×C₄	1	2	yes	complemented
78	M₃₂×C₄₇	C₂³	1	2	yes	—
79	M₃₂×C₄₇	C₂³	1	2	yes	—
80	C₂×C₁₆×C₄₇	—	2	1	no	—
81	C₂×C₁₆×C₄₇	C₂×C₄	1	2	yes	complemented
82	#97×C₄₇	C₂³	1	2	yes	—
83	C₄×C₈×C₄₇	D₄	1	2	yes	—
84	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
85	C₂×C₂²⋊D₄₇	—	4	1	no	—
86	C₂×C₂²⋊D₄₇	—	4	1	no	—
87	C₂²×Dic₄₇	—	4	1	no	—
88	#10625350	—	2	2	no	—
89	#10625350	—	2	2	no	—
90	#10625350	—	2	2	no	—
91	#10625350	—	2	2	no	—
92	#10625350	—	4	1	no	—
93	#10625350	—	4	1	no	—
94	#10625350	—	4	1	no	—
95	#10625350	—	4	1	no	—
96	C₂×D₁₈₈	—	2	1	no	—
97	C₂×D₁₈₈	—	2	1	no	—
98	C₂×C₄×D₄₇	—	4	1	no	—
99	C₂×C₄×D₄₇	—	4	1	no	—
100	C₂×C₄×D₄₇	—	4	2	no	—
101	C₂×Dic₉₄	—	2	1	no	—
102	C₂×Dic₉₄	—	2	1	no	—
103	M₁₆×C₄₇	—	2	1	no	—
104	M₁₆×C₄₇	—	2	1	no	—
105	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
106	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
108	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
109	C₂×C₈×C₄₇	#41	1	1	yes	characteristic
110	C₂×C₈×C₄₇	#41	1	1	yes	characteristic
111	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
112	C₄⋊C₄×C₄₇	—	2	1	no	—
113	C₂²⋊C₄×C₄₇	—	2	1	no	—
114	C₄²×C₄₇	C₂×D₄	1	2	yes	—
115	(C₂×D₄₇)⋊C₄	—	4	2	no	—
116	C₄⋊Dic₄₇	—	2	2	no	—
117	C₄⋊Dic₄₇	—	4	1	no	—
118	Dic₄₇⋊C₄	—	4	2	no	—
119	C₄×Dic₄₇	—	4	2	no	—
120	#10625329	—	2	2	no	—
121	#10625329	—	4	1	no	—
122	C₂×C₄₇⋊C₈	—	4	1	no	—
123	Dic₁₈₈	—	2	1	no	—
124	Dic₁₈₈	—	2	1	no	—
125	Dic₁₈₈	C₂²×C₄	1	2	yes	—
126	Dic₁₈₈	C₂²×C₄	1	2	yes	—
127	D₃₇₆	—	2	1	no	—
128	D₃₇₆	—	2	1	no	—
129	D₃₇₆	C₂²×C₄	1	2	yes	—
130	D₃₇₆	C₂²×C₄	1	2	yes	—
131	#10625325	—	2	2	no	—
132	#10625325	—	2	2	no	—
133	#10625325	—	2	2	no	—
134	#10625325	—	2	2	no	—
135	#10625324	—	4	4	no	—
136	C₈×D₄₇	—	4	4	no	—
137	C₁₆×C₄₇	—	2	2	no	—
138	C₁₆×C₄₇	C₂²×C₄	1	4	yes	—
139	C₂³×C₄₇	AGL(1,ℤ/8)	1	1	yes	characteristic
140	C₂²×D₄₇	—	4	1	no	—
141	C₂²×D₄₇	—	4	1	no	—
142	C₂×C₄×C₄₇	—	2	2	no	—
143	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
144	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
145	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	1	yes	characteristic
146	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	1	yes	characteristic
147	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	1	yes	characteristic
148	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
149	C₂²⋊D₄₇	—	4	2	no	—
150	C₂²⋊D₄₇	—	4	2	no	—
151	C₂²⋊D₄₇	—	4	2	no	—
152	C₂²⋊D₄₇	—	4	2	no	—
153	C₂×Dic₄₇	—	4	1	no	—
154	C₂×Dic₄₇	—	4	1	no	—
155	C₂×Dic₄₇	—	4	2	no	—
156	C₂×Dic₄₇	—	16	1	no	—
157	D₁₈₈	—	2	2	no	—
158	D₁₈₈	—	2	2	no	—
159	D₁₈₈	—	4	1	no	—
160	D₁₈₈	—	4	1	no	—
161	C₄×D₄₇	—	4	2	no	—
162	C₄×D₄₇	—	4	2	no	—
163	C₄×D₄₇	—	4	2	no	—
164	C₄×D₄₇	—	4	2	no	—
165	C₄×D₄₇	—	16	2	no	—
166	Dic₉₄	—	2	2	no	—
167	Dic₉₄	—	2	2	no	—
168	Dic₉₄	—	4	1	no	—
169	Dic₉₄	—	4	1	no	—
170	C₈×C₄₇	—	2	2	no	—
171	C₈×C₄₇	C₄×D₄	1	1	yes	characteristic
172	C₈×C₄₇	C₄×D₄	1	1	yes	characteristic
173	C₈×C₄₇	C₂³×C₄	1	1	yes	characteristic
174	C₈×C₄₇	C₂×#41	1	1	yes	characteristic
175	C₄₇⋊C₈	—	4	2	no	—
176	#33469	—	47	1	no	maximal, Sylow
177	C₂²×C₄₇	—	4	1	no	—
178	C₂²×C₄₇	#442	1	1	yes	characteristic
179	C₂²×C₄₇	#442	1	1	yes	characteristic
180	C₂²×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
181	C₂×D₄₇	—	4	2	no	—
182	C₂×D₄₇	—	4	2	no	—
183	C₂×D₄₇	—	8	1	no	—
184	C₂×D₄₇	—	8	1	no	—
185	C₂×D₄₇	—	16	1	no	—
186	C₄×C₄₇	—	4	2	no	—
187	C₄×C₄₇	#442	1	1	yes	characteristic
188	C₄×C₄₇	#442	1	1	yes	characteristic
189	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
190	C₄×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
191	Dic₄₇	—	4	2	no	—
192	Dic₄₇	—	4	2	no	—
193	Dic₄₇	—	8	2	no	—
194	#3414	—	47	1	no	—
195	#2957	—	47	1	no	—
196	#2952	—	47	1	no	—
197	AGL(1,ℤ/16)	—	47	4	no	—
198	#2180	—	47	4	no	—
199	C₂×#365	—	47	1	no	—
200	#2148	—	47	1	no	—
201	C₂×#360	—	47	1	no	—
202	#2110	D₄₇	1	1	yes	characteristic, complemented
203	C₂×C₄₇	—	2	1	no	—
204	C₂×C₄₇	—	2	1	no	—
205	C₂×C₄₇	—	2	1	no	—
206	C₂×C₄₇	C₂×#442	1	1	yes	characteristic
207	D₄₇	—	8	2	no	—
208	D₄₇	—	8	2	no	—
209	C₂×#135	—	47	1	no	—
210	C₂×#135	—	47	1	no	—
211	#568	—	94	1	no	—
212	#520	—	94	1	no	—
213	#510	—	47	2	no	—
214	#510	—	47	2	no	—
215	#509	—	47	2	no	—
216	#509	—	47	2	no	—
217	#508	—	47	4	no	—
218	C₂×M₃₂	C₂×D₄₇	1	1	yes	characteristic
219	C₂×M₃₂	C₂×D₄₇	1	1	yes	characteristic
220	#444	—	47	4	no	—
221	#443	—	94	2	no	—
222	#442	—	47	2	no	—
223	#441	—	47	2	no	—
224	C₄×SD₁₆	—	94	2	no	—
225	C₂×#108	—	47	1	no	—
226	C₂×#106	—	47	1	no	—
227	#421	—	94	1	no	—
228	#417	—	94	1	no	—
229	#405	C₂×D₄₇	1	1	yes	characteristic
230	#365	—	47	4	no	—
231	#362	—	47	2	no	—
232	#361	—	47	2	no	—
233	#360	—	47	4	no	—
234	#347	C₂×D₄₇	1	4	yes	complemented
235	C₄₇	#33469	1	1	yes	characteristic, complemented, Sylow
236	C₂×#41	—	94	1	no	—
237	C₂×#41	—	94	1	no	—
238	#135	—	47	2	no	—
239	#135	—	47	2	no	—
240	#135	—	47	2	no	—
241	#135	—	47	2	no	—
242	#135	—	94	1	no	—
243	#135	—	94	1	no	—
244	#135	—	94	1	no	—
245	#135	—	94	1	no	—
246	C₂×Q₁₆	—	47	1	no	—
247	C₂×Q₁₆	—	47	1	no	—
248	C₂×SD₁₆	—	94	1	no	—
249	C₂×SD₁₆	—	94	1	no	—
250	C₂×D₈	—	47	1	no	—
251	C₂×D₈	—	47	1	no	—
252	#131	—	94	4	no	—
253	#131	—	188	2	no	—
254	C₂×M₁₆	—	94	1	no	—
255	C₂×M₁₆	—	188	2	no	—
256	C₂×M₁₆	D₁₈₈	1	1	yes	characteristic
257	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
258	C₄×Q₈	—	94	2	no	—
259	C₄×D₄	—	94	2	no	—
260	C₄×D₄	—	188	2	no	—
261	#117	—	188	1	no	—
262	#117	D₁₈₈	1	1	yes	characteristic
263	C₂×C₄⋊C₄	—	94	1	no	—
264	C₂×C₄⋊C₄	—	188	1	no	—
265	Q₃₂	—	47	4	no	—
266	SD₃₂	—	47	4	no	—
267	SD₃₂	—	47	4	no	—
268	D₁₆	—	47	4	no	—
269	M₃₂	—	2	1	no	—
270	M₃₂	C₄×D₄₇	1	2	yes	complemented
271	M₃₂	C₂²×D₄₇	1	2	yes	—
272	M₃₂	C₂²×D₄₇	1	2	yes	—
273	C₂×C₁₆	—	2	1	no	—
274	C₂×C₁₆	C₄×D₄₇	1	2	yes	complemented
275	#108	—	47	2	no	—
276	#108	—	94	1	no	—
277	#106	—	47	2	no	—
278	#106	—	94	1	no	—
279	#104	—	94	4	no	—
280	#103	—	94	2	no	—
281	#102	—	94	2	no	—
282	#97	C₂²×D₄₇	1	2	yes	—
283	C₄×C₈	D₁₈₈	1	2	yes	—
284	#41	—	94	2	no	—
285	#41	—	94	2	no	—
286	#41	—	94	2	no	—
287	#41	—	94	2	no	—
288	#41	—	188	1	no	—
289	#41	—	188	1	no	—
290	#41	—	188	1	no	—
291	#41	—	188	1	no	—
292	C₂×Q₈	—	94	1	no	—
293	C₂×Q₈	—	94	1	no	—
294	C₂×D₄	—	94	1	no	—
295	C₂×D₄	—	94	1	no	—
296	C₂×D₄	—	188	1	no	—
297	C₂×D₄	—	188	1	no	—
298	C₂²×C₄	—	188	2	no	—
299	C₂²×C₄	—	188	1	no	—
300	C₂²×C₄	—	188	1	no	—
301	C₂²×C₄	—	188	1	no	—
302	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
303	Q₁₆	—	47	2	no	—
304	Q₁₆	—	47	2	no	—
305	Q₁₆	—	94	1	no	—
306	Q₁₆	—	94	1	no	—
307	SD₁₆	—	94	2	no	—
308	SD₁₆	—	94	2	no	—
309	SD₁₆	—	94	2	no	—
310	SD₁₆	—	94	2	no	—
311	D₈	—	47	2	no	—
312	D₈	—	47	2	no	—
313	D₈	—	94	1	no	—
314	D₈	—	94	1	no	—
315	M₁₆	—	2	1	no	—
316	M₁₆	—	2	1	no	—
317	M₁₆	—	94	2	no	—
318	M₁₆	—	188	4	no	—
319	M₁₆	—	188	1	no	—
320	C₂×C₈	—	188	4	no	—
321	C₂×C₈	—	188	1	no	—
322	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
323	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
324	C₂×C₈	C₂×D₁₈₈	1	2	yes	—
325	C₂×C₈	C₂×D₁₈₈	1	1	yes	characteristic
326	C₂×C₈	#10625350	1	1	yes	characteristic
327	C₂×C₈	#10625350	1	1	yes	characteristic
328	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
329	C₄⋊C₄	—	2	1	no	—
330	C₄⋊C₄	—	94	2	no	—
331	C₄⋊C₄	—	188	2	no	—
332	C₄⋊C₄	—	188	1	no	—
333	C₂²⋊C₄	—	2	1	no	—
334	C₂²⋊C₄	—	188	2	no	—
335	C₄²	—	188	2	no	—
336	C₄²	C₂×D₁₈₈	1	2	yes	—
337	C₁₆	—	2	2	no	—
338	C₁₆	C₂×C₄×D₄₇	1	4	yes	—
339	C₂³	—	188	1	no	—
340	C₂³	—	188	1	no	—
341	C₂³	#13094052	1	1	yes	characteristic
342	Q₈	—	94	2	no	—
343	Q₈	—	94	2	no	—
344	Q₈	—	188	1	no	—
345	Q₈	—	188	1	no	—
346	D₄	—	94	2	no	—
347	D₄	—	94	2	no	—
348	D₄	—	188	2	no	—
349	D₄	—	188	2	no	—
350	D₄	—	188	2	no	—
351	D₄	—	188	2	no	—
352	D₄	—	188	1	no	—
353	D₄	—	188	1	no	—
354	C₂×C₄	—	2	2	no	—
355	C₂×C₄	—	188	2	no	—
356	C₂×C₄	—	188	1	no	—
357	C₂×C₄	—	188	1	no	—
358	C₂×C₄	—	188	2	no	—
359	C₂×C₄	—	188	2	no	—
360	C₂×C₄	—	188	2	no	—
361	C₂×C₄	—	188	2	no	—
362	C₂×C₄	—	752	2	no	—
363	C₂×C₄	—	752	1	no	—
364	C₂×C₄	C₄×D₁₈₈	1	1	yes	characteristic
365	C₂×C₄	C₄×D₁₈₈	1	1	yes	characteristic
366	C₂×C₄	#13094052	1	1	yes	characteristic
367	C₂×C₄	#13094052	1	1	yes	characteristic
368	C₂×C₄	#13094052	1	1	yes	characteristic
369	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
370	C₈	—	2	2	no	—
371	C₈	—	188	2	no	—
372	C₈	C₄×D₁₈₈	1	1	yes	characteristic
373	C₈	C₄×D₁₈₈	1	1	yes	characteristic
374	C₈	C₂²×C₄×D₄₇	1	1	yes	characteristic
375	C₈	C₂×#10625350	1	1	yes	characteristic
376	C₂²	—	4	1	no	—
377	C₂²	—	376	1	no	—
378	C₂²	—	376	1	no	—
379	C₂²	—	188	2	no	—
380	C₂²	—	188	2	no	—
381	C₂²	—	752	1	no	—
382	C₂²	#15689236	1	1	yes	characteristic
383	C₂²	#15689236	1	1	yes	characteristic
384	C₂²	C₂×#13094052	1	1	yes	characteristic
385	C₄	—	4	2	no	—
386	C₄	—	376	2	no	—
387	C₄	—	188	2	no	—
388	C₄	—	188	2	no	—
389	C₄	#15689236	1	1	yes	characteristic
390	C₄	#15689236	1	1	yes	characteristic
391	C₄	C₂×C₄×D₁₈₈	1	1	yes	characteristic
392	C₄	C₂×#13094052	1	1	yes	characteristic
393	C₂	—	2	1	no	—
394	C₂	—	2	1	no	—
395	C₂	—	2	1	no	—
396	C₂	—	376	2	no	—
397	C₂	—	376	2	no	—
398	C₂	C₂×#15689236	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂×#15689236
commutator	C₈×C₄₇	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₄₇
Fitting	C₄₇×#2110	C₂
socle	C₂×C₄₇	C₂×#442
prime radical	#20256524	C₂
cosocle	C₂×C₈×C₄₇	C₂⁴
hypercenter	#2110	D₄₇
hypocenter	C₄₇	#33469
LCS	G ▷ C₈×C₄₇ ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂ ◁ C₂²×C₄ ◁ #405 ◁ #2110

Complements

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

N	H ≅ G/N	type
2. #20252306	C₂	semidirect
3. #20252273	C₂	semidirect
4. #20245288	C₂	semidirect
5. #20245281	C₂	semidirect
6. C₂×#15688946	C₂	semidirect
7. #20245138	C₂	semidirect
8. C₂×#15688934	C₂	semidirect
9. C₄₇×#2110	C₂	semidirect
14. #15689566	C₄	semidirect
16. #15689561	C₄	semidirect
18. #15689555	C₄	semidirect
21. #15689236	C₂²	semidirect
22. #15689231	C₂²	semidirect
28. #15688946	C₂²	semidirect
29. #15688940	C₂²	semidirect
30. #15688937	C₂²	semidirect
35. C₄₇×#347	C₂²	semidirect
44. #13094046	C₂×C₄	semidirect
46. C₂×Dic₁₈₈	C₂×C₄	semidirect
50. C₂×D₃₇₆	C₂×C₄	semidirect
62. Dic₃₇₆	C₂×C₄	semidirect
63. #13093969	C₂×C₄	semidirect
64. #13093969	C₂×C₄	semidirect
65. D₇₅₂	C₂×C₄	semidirect
77. M₃₂×C₄₇	C₂×C₄	semidirect
81. C₂×C₁₆×C₄₇	C₂×C₄	semidirect
202. #2110	D₄₇	semidirect
234. #347	C₂×D₄₇	semidirect
235. C₄₇	#33469	semidirect
270. M₃₂	C₄×D₄₇	semidirect
274. C₂×C₁₆	C₄×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
#20256524	2
#20252306	2
#20252273	2
#20245288	2
#20245281	2
C₂×#15688946	2
#20245138	2
C₂×#15688934	2
C₄₇×#2110	2
#33469	47