Subgroups — C₄₇×#20706 #26060404

Order 12032.

1338 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#3428	C₂	1	1	yes	maximal, characteristic
2	C₄₇×#2879	C₂	1	1	yes	maximal, characteristic
3	C₄₇×#2297	C₂	1	1	yes	maximal, characteristic
4	C₄₇×#1826	C₂	1	8	yes	maximal, complemented
5	C₄₇×#1733	C₂	1	2	yes	maximal, complemented
6	C₂×C₄₇×#339	C₂	1	2	yes	maximal, complemented
7	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
8	C₂²×M₁₆×C₄₇	C₂²	1	2	yes	—
9	C₄₇×#520	C₄	1	8	yes	complemented
10	C₄₇×#519	—	2	1	no	—
11	C₄₇×#518	—	2	2	no	—
12	C₄₇×#518	—	2	1	no	—
13	C₄×#41×C₄₇	—	2	4	no	—
14	C₂×#117×C₄₇	C₂²	1	2	yes	—
15	C₂×#117×C₄₇	C₂²	1	4	yes	—
16	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
17	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
18	C₄₇×#408	—	2	4	no	—
19	C₄₇×#407	C₂²	1	4	yes	—
20	C₄₇×#391	—	2	1	no	—
21	C₄₇×#390	—	2	1	no	—
22	C₄₇×#386	—	2	2	no	—
23	C₄×C₂²⋊C₄×C₄₇	C₂²	1	4	yes	—
24	C₄₇×#339	C₂²	1	8	yes	—
25	C₄₇×#339	C₂²	1	8	yes	—
26	C₂×#41×C₄₇	—	2	4	no	—
27	C₂×#41×C₄₇	—	2	4	no	—
28	C₂×#41×C₄₇	C₂×C₄	1	4	yes	—
29	C₂×#41×C₄₇	D₄	1	4	yes	—
30	C₂²×Q₈×C₄₇	D₄	1	1	yes	characteristic
31	C₂²×D₄×C₄₇	D₄	1	2	yes	—
32	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
33	C₂³×C₄×C₄₇	—	2	1	no	—
34	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
35	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
36	C₂×M₁₆×C₄₇	—	2	2	no	—
37	C₂×M₁₆×C₄₇	—	2	4	no	—
38	C₂×M₁₆×C₄₇	—	2	4	no	—
39	C₂×M₁₆×C₄₇	C₂³	1	4	yes	—
40	C₂²×C₈×C₄₇	—	2	2	no	—
41	C₄×Q₈×C₄₇	—	2	8	no	—
42	C₄×D₄×C₄₇	—	2	8	no	—
43	C₄×D₄×C₄₇	—	2	16	no	—
44	#117×C₄₇	—	2	2	no	—
45	#117×C₄₇	—	2	4	no	—
46	#117×C₄₇	—	2	2	no	—
47	#117×C₄₇	—	2	4	no	—
48	#117×C₄₇	—	2	4	no	—
49	#117×C₄₇	C₂×C₄	1	4	yes	—
50	#117×C₄₇	C₂×C₄	1	8	yes	complemented
51	#117×C₄₇	C₂³	1	4	yes	—
52	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
53	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	4	yes	—
54	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	8	yes	complemented
55	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
56	C₂×C₂²⋊C₄×C₄₇	—	2	4	no	—
57	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
58	C₂×C₂²⋊C₄×C₄₇	—	2	4	no	—
59	C₂×C₄²×C₄₇	—	2	2	no	—
60	C₂×C₄²×C₄₇	—	2	4	no	—
61	C₂×C₄²×C₄₇	—	2	4	no	—
62	C₂×C₄²×C₄₇	—	2	1	no	—
63	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
64	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
65	C₂²⋊C₈×C₄₇	—	2	8	no	—
66	#95×C₄₇	—	2	4	no	—
67	C₂⁴×C₄₇	C₂×D₄	1	2	yes	—
68	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
69	#41×C₄₇	—	2	16	no	—
70	#41×C₄₇	—	2	8	no	—
71	#41×C₄₇	—	2	8	no	—
72	C₂×Q₈×C₄₇	—	2	2	no	—
73	C₂×Q₈×C₄₇	—	2	2	no	—
74	C₂×Q₈×C₄₇	C₂²⋊C₄	1	4	yes	—
75	C₂×D₄×C₄₇	—	2	4	no	—
76	C₂×D₄×C₄₇	—	2	4	no	—
77	C₂×D₄×C₄₇	—	2	2	no	—
78	C₂×D₄×C₄₇	—	2	2	no	—
79	C₂×D₄×C₄₇	C₂²⋊C₄	1	8	yes	—
80	C₂×D₄×C₄₇	C₂²⋊C₄	1	4	yes	—
81	C₂²×C₄×C₄₇	—	2	4	no	—
82	C₂²×C₄×C₄₇	—	2	4	no	—
83	C₂²×C₄×C₄₇	—	2	2	no	—
84	C₂²×C₄×C₄₇	—	2	4	no	—
85	C₂²×C₄×C₄₇	—	2	8	no	—
86	C₂²×C₄×C₄₇	—	2	2	no	—
87	C₂²×C₄×C₄₇	—	4	4	no	—
88	C₂²×C₄×C₄₇	—	4	2	no	—
89	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
90	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
91	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₄₇	C₂×D₄	1	4	yes	—
93	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₄₇	#41	1	4	yes	—
96	C₂²×C₄×C₄₇	#41	1	4	yes	—
97	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
98	M₁₆×C₄₇	—	2	4	no	—
99	M₁₆×C₄₇	—	2	4	no	—
100	M₁₆×C₄₇	—	4	4	no	—
101	C₂×C₈×C₄₇	—	2	4	no	—
102	C₂×C₈×C₄₇	—	4	4	no	—
103	C₄⋊C₄×C₄₇	—	2	4	no	—
104	C₄⋊C₄×C₄₇	—	2	8	no	—
105	C₄⋊C₄×C₄₇	—	4	2	no	—
106	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
107	C₂²⋊C₄×C₄₇	—	2	4	no	—
108	C₂²⋊C₄×C₄₇	—	2	8	no	—
109	C₂²⋊C₄×C₄₇	—	2	4	no	—
110	C₂²⋊C₄×C₄₇	—	4	8	no	—
111	C₂²⋊C₄×C₄₇	—	4	2	no	—
112	C₄²×C₄₇	—	2	4	no	—
113	C₄²×C₄₇	—	2	8	no	—
114	C₄²×C₄₇	—	2	4	no	—
115	C₄²×C₄₇	—	2	4	no	—
116	C₄²×C₄₇	—	2	4	no	—
117	C₄²×C₄₇	—	4	2	no	—
118	C₂³×C₄₇	—	2	2	no	—
119	C₂³×C₄₇	—	2	2	no	—
120	C₂³×C₄₇	—	4	2	no	—
121	C₂³×C₄₇	—	4	4	no	—
122	C₂³×C₄₇	C₂×C₂²⋊C₄	1	4	yes	—
123	C₂³×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
124	C₂³×C₄₇	#123	1	2	yes	—
125	C₂³×C₄₇	#123	1	2	yes	—
126	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
127	Q₈×C₄₇	—	2	8	no	—
128	D₄×C₄₇	—	2	16	no	—
129	D₄×C₄₇	—	2	8	no	—
130	C₂×C₄×C₄₇	—	2	2	no	—
131	C₂×C₄×C₄₇	—	2	2	no	—
132	C₂×C₄×C₄₇	—	2	8	no	—
133	C₂×C₄×C₄₇	—	2	8	no	—
134	C₂×C₄×C₄₇	—	2	4	no	—
135	C₂×C₄×C₄₇	—	2	8	no	—
136	C₂×C₄×C₄₇	—	4	2	no	—
137	C₂×C₄×C₄₇	—	4	8	no	—
138	C₂×C₄×C₄₇	—	4	2	no	—
139	C₂×C₄×C₄₇	—	4	4	no	—
140	C₂×C₄×C₄₇	—	4	2	no	—
141	C₂×C₄×C₄₇	—	8	4	no	—
142	C₂×C₄×C₄₇	—	8	8	no	—
143	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	4	yes	—
144	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
145	C₂×C₄×C₄₇	#117	1	8	yes	—
146	C₂×C₄×C₄₇	#123	1	4	yes	—
147	C₂×C₄×C₄₇	#123	1	4	yes	—
148	C₂×C₄×C₄₇	#123	1	2	yes	—
149	C₂×C₄×C₄₇	#123	1	2	yes	—
150	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
151	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
152	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
153	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
154	C₈×C₄₇	—	4	4	no	—
155	#20706	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
156	C₂²×C₄₇	—	2	2	no	—
157	C₂²×C₄₇	—	2	4	no	—
158	C₂²×C₄₇	—	2	8	no	—
159	C₂²×C₄₇	—	2	4	no	—
160	C₂²×C₄₇	—	4	2	no	—
161	C₂²×C₄₇	—	4	2	no	—
162	C₂²×C₄₇	—	8	2	no	—
163	C₂²×C₄₇	—	8	2	no	—
164	C₂²×C₄₇	#381	1	4	yes	—
165	C₂²×C₄₇	C₂²×C₂²⋊C₄	1	1	yes	characteristic
166	C₂²×C₄₇	C₂×#123	1	1	yes	characteristic
167	C₂²×C₄₇	C₂×#123	1	1	yes	characteristic
168	C₄×C₄₇	—	2	4	no	—
169	C₄×C₄₇	—	4	4	no	—
170	C₄×C₄₇	—	4	8	no	—
171	C₄×C₄₇	—	8	2	no	—
172	C₄×C₄₇	#381	1	4	yes	—
173	C₄×C₄₇	C₂×#117	1	2	yes	—
174	C₄×C₄₇	C₂×#123	1	2	yes	—
175	#3428	C₂×C₄₇	1	1	yes	characteristic
176	#2879	C₂×C₄₇	1	1	yes	characteristic
177	#2297	C₂×C₄₇	1	1	yes	characteristic
178	#1826	C₂×C₄₇	1	8	yes	complemented
179	#1733	C₂×C₄₇	1	2	yes	complemented
180	C₂×#339	C₂×C₄₇	1	2	yes	complemented
181	C₂×C₄₇	—	2	1	no	—
182	C₂×C₄₇	—	2	1	no	—
183	C₂×C₄₇	—	2	4	no	—
184	C₂×C₄₇	—	4	4	no	—
185	C₂×C₄₇	C₂×#381	1	1	yes	characteristic
186	C₂×C₄₇	#2901	1	2	yes	—
187	C₂²×#41	C₂²×C₄₇	1	1	yes	characteristic
188	C₂²×M₁₆	C₂²×C₄₇	1	2	yes	—
189	#520	C₄×C₄₇	1	8	yes	complemented
190	#519	—	2	1	no	—
191	#518	—	2	2	no	—
192	#518	—	2	1	no	—
193	C₄×#41	—	2	4	no	—
194	C₂×#117	C₂²×C₄₇	1	2	yes	—
195	C₂×#117	C₂²×C₄₇	1	4	yes	—
196	C₂×#117	C₂²×C₄₇	1	1	yes	characteristic
197	C₂²×C₄²	C₂²×C₄₇	1	1	yes	characteristic
198	#408	—	2	4	no	—
199	#407	C₂²×C₄₇	1	4	yes	—
200	#391	—	2	1	no	—
201	#390	—	2	1	no	—
202	#386	—	2	2	no	—
203	C₄×C₂²⋊C₄	C₂²×C₄₇	1	4	yes	—
204	#339	C₂²×C₄₇	1	8	yes	—
205	#339	C₂²×C₄₇	1	8	yes	—
206	C₄₇	#20706	1	1	yes	characteristic, direct product factor, Sylow
207	C₂×#41	—	2	4	no	—
208	C₂×#41	—	2	4	no	—
209	C₂×#41	C₂×C₄×C₄₇	1	4	yes	—
210	C₂×#41	D₄×C₄₇	1	4	yes	—
211	C₂²×Q₈	D₄×C₄₇	1	1	yes	characteristic
212	C₂²×D₄	D₄×C₄₇	1	2	yes	—
213	C₂²×D₄	D₄×C₄₇	1	1	yes	characteristic
214	C₂³×C₄	—	2	1	no	—
215	C₂³×C₄	C₂³×C₄₇	1	2	yes	—
216	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
217	C₂×M₁₆	—	2	2	no	—
218	C₂×M₁₆	—	2	4	no	—
219	C₂×M₁₆	—	2	4	no	—
220	C₂×M₁₆	C₂³×C₄₇	1	4	yes	—
221	C₂²×C₈	—	2	2	no	—
222	C₄×Q₈	—	2	8	no	—
223	C₄×D₄	—	2	8	no	—
224	C₄×D₄	—	2	16	no	—
225	#117	—	2	2	no	—
226	#117	—	2	4	no	—
227	#117	—	2	2	no	—
228	#117	—	2	4	no	—
229	#117	—	2	4	no	—
230	#117	C₂×C₄×C₄₇	1	4	yes	—
231	#117	C₂×C₄×C₄₇	1	8	yes	complemented
232	#117	C₂³×C₄₇	1	4	yes	—
233	C₂×C₄⋊C₄	—	2	1	no	—
234	C₂×C₄⋊C₄	C₂×C₄×C₄₇	1	4	yes	—
235	C₂×C₄⋊C₄	C₂×C₄×C₄₇	1	8	yes	complemented
236	C₂×C₂²⋊C₄	—	2	2	no	—
237	C₂×C₂²⋊C₄	—	2	4	no	—
238	C₂×C₂²⋊C₄	—	2	1	no	—
239	C₂×C₂²⋊C₄	—	2	4	no	—
240	C₂×C₄²	—	2	2	no	—
241	C₂×C₄²	—	2	4	no	—
242	C₂×C₄²	—	2	4	no	—
243	C₂×C₄²	—	2	1	no	—
244	C₂×C₄²	C₂³×C₄₇	1	2	yes	—
245	C₂×C₄²	C₂³×C₄₇	1	2	yes	—
246	C₂²⋊C₈	—	2	8	no	—
247	#95	—	2	4	no	—
248	C₂⁴	C₂×D₄×C₄₇	1	2	yes	—
249	C₂⁴	C₂×D₄×C₄₇	1	1	yes	characteristic
250	#41	—	2	16	no	—
251	#41	—	2	8	no	—
252	#41	—	2	8	no	—
253	C₂×Q₈	—	2	2	no	—
254	C₂×Q₈	—	2	2	no	—
255	C₂×Q₈	C₂²⋊C₄×C₄₇	1	4	yes	—
256	C₂×D₄	—	2	4	no	—
257	C₂×D₄	—	2	4	no	—
258	C₂×D₄	—	2	2	no	—
259	C₂×D₄	—	2	2	no	—
260	C₂×D₄	C₂²⋊C₄×C₄₇	1	8	yes	—
261	C₂×D₄	C₂²⋊C₄×C₄₇	1	4	yes	—
262	C₂²×C₄	—	2	4	no	—
263	C₂²×C₄	—	2	4	no	—
264	C₂²×C₄	—	2	2	no	—
265	C₂²×C₄	—	2	4	no	—
266	C₂²×C₄	—	2	8	no	—
267	C₂²×C₄	—	2	2	no	—
268	C₂²×C₄	—	4	4	no	—
269	C₂²×C₄	—	4	2	no	—
270	C₂²×C₄	C₂²×C₄×C₄₇	1	4	yes	—
271	C₂²×C₄	C₂²×C₄×C₄₇	1	2	yes	—
272	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
273	C₂²×C₄	C₂×D₄×C₄₇	1	4	yes	—
274	C₂²×C₄	C₂×D₄×C₄₇	1	1	yes	characteristic
275	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
276	C₂²×C₄	#41×C₄₇	1	4	yes	—
277	C₂²×C₄	#41×C₄₇	1	4	yes	—
278	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
279	M₁₆	—	2	4	no	—
280	M₁₆	—	2	4	no	—
281	M₁₆	—	4	4	no	—
282	C₂×C₈	—	2	4	no	—
283	C₂×C₈	—	4	4	no	—
284	C₄⋊C₄	—	2	4	no	—
285	C₄⋊C₄	—	2	8	no	—
286	C₄⋊C₄	—	4	2	no	—
287	C₄⋊C₄	C₂²×C₄×C₄₇	1	8	yes	—
288	C₂²⋊C₄	—	2	4	no	—
289	C₂²⋊C₄	—	2	8	no	—
290	C₂²⋊C₄	—	2	4	no	—
291	C₂²⋊C₄	—	4	8	no	—
292	C₂²⋊C₄	—	4	2	no	—
293	C₄²	—	2	4	no	—
294	C₄²	—	2	8	no	—
295	C₄²	—	2	4	no	—
296	C₄²	—	2	4	no	—
297	C₄²	—	2	4	no	—
298	C₄²	—	4	2	no	—
299	C₂³	—	2	2	no	—
300	C₂³	—	2	2	no	—
301	C₂³	—	4	2	no	—
302	C₂³	—	4	4	no	—
303	C₂³	C₂×C₂²⋊C₄×C₄₇	1	4	yes	—
304	C₂³	C₂×C₂²⋊C₄×C₄₇	1	2	yes	—
305	C₂³	#123×C₄₇	1	2	yes	—
306	C₂³	#123×C₄₇	1	2	yes	—
307	C₂³	C₂²×D₄×C₄₇	1	1	yes	characteristic
308	Q₈	—	2	8	no	—
309	D₄	—	2	16	no	—
310	D₄	—	2	8	no	—
311	C₂×C₄	—	2	2	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	8	no	—
314	C₂×C₄	—	2	8	no	—
315	C₂×C₄	—	2	4	no	—
316	C₂×C₄	—	2	8	no	—
317	C₂×C₄	—	4	2	no	—
318	C₂×C₄	—	4	8	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	—	4	4	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	8	4	no	—
323	C₂×C₄	—	8	8	no	—
324	C₂×C₄	C₂×C₂²⋊C₄×C₄₇	1	4	yes	—
325	C₂×C₄	C₂×C₂²⋊C₄×C₄₇	1	2	yes	—
326	C₂×C₄	#117×C₄₇	1	8	yes	—
327	C₂×C₄	#123×C₄₇	1	4	yes	—
328	C₂×C₄	#123×C₄₇	1	4	yes	—
329	C₂×C₄	#123×C₄₇	1	2	yes	—
330	C₂×C₄	#123×C₄₇	1	2	yes	—
331	C₂×C₄	C₂³×C₄×C₄₇	1	1	yes	characteristic
332	C₂×C₄	C₂²×D₄×C₄₇	1	1	yes	characteristic
333	C₂×C₄	C₂×#41×C₄₇	1	2	yes	—
334	C₂×C₄	C₂×#41×C₄₇	1	2	yes	—
335	C₈	—	4	4	no	—
336	C₂²	—	2	2	no	—
337	C₂²	—	2	4	no	—
338	C₂²	—	2	4	no	—
339	C₂²	—	2	8	no	—
340	C₂²	—	4	2	no	—
341	C₂²	—	4	2	no	—
342	C₂²	—	8	2	no	—
343	C₂²	—	8	2	no	—
344	C₂²	C₄₇×#381	1	4	yes	—
345	C₂²	C₂²×C₂²⋊C₄×C₄₇	1	1	yes	characteristic
346	C₂²	C₂×#123×C₄₇	1	1	yes	characteristic
347	C₂²	C₂×#123×C₄₇	1	1	yes	characteristic
348	C₄	—	2	4	no	—
349	C₄	—	4	4	no	—
350	C₄	—	4	8	no	—
351	C₄	—	8	2	no	—
352	C₄	C₄₇×#381	1	4	yes	—
353	C₄	C₂×#117×C₄₇	1	2	yes	—
354	C₄	C₂×#123×C₄₇	1	2	yes	—
355	C₂	—	2	1	no	—
356	C₂	—	2	1	no	—
357	C₂	—	2	4	no	—
358	C₂	—	4	4	no	—
359	C₂	C₂×C₄₇×#381	1	1	yes	characteristic
360	C₂	C₄₇×#2901	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₄₇	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₄₇
Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₇
socle	C₂²×C₄₇	C₂²×C₂²⋊C₄
prime radical	C₂²×#41×C₄₇	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₄₇ ◁ C₂²×#41×C₄₇ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₄₇×#1826	C₂	semidirect
5. C₄₇×#1733	C₂	semidirect
6. C₂×C₄₇×#339	C₂	semidirect
9. C₄₇×#520	C₄	semidirect
50. #117×C₄₇	C₂×C₄	semidirect
54. C₂×C₄⋊C₄×C₄₇	C₂×C₄	semidirect
155. #20706	C₄₇	direct (N × H)
178. #1826	C₂×C₄₇	semidirect
179. #1733	C₂×C₄₇	semidirect
180. C₂×#339	C₂×C₄₇	semidirect
189. #520	C₄×C₄₇	semidirect
206. C₄₇	#20706	direct (N × H)
231. #117	C₂×C₄×C₄₇	semidirect
235. C₂×C₄⋊C₄	C₂×C₄×C₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₄₇×#3428	2
C₄₇×#2879	2
C₄₇×#2297	2
C₄₇×#1826	2
C₄₇×#1733	2
C₂×C₄₇×#339	2
#20706	47

Subgroups — C47×#20706 #26060404

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#20706 #26060404