Subgroups — C₄₇×#29770 #26069468

Order 12032.

958 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₇×#466	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₄⋊C₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₇×#2854	C₂	1	2	yes	maximal, complemented
4	C₄₇×#2086	C₂	1	2	yes	maximal, complemented
5	C₄₇×#2067	C₂	1	4	yes	maximal, complemented
6	C₄₇×#2054	C₂	1	2	yes	maximal, complemented
7	C₄₇×#1893	C₂	1	2	yes	maximal, complemented
8	C₄₇×#1808	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×D₈×C₄₇	C₂²	1	1	yes	characteristic
10	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic
11	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic
12	C₂×#123×C₄₇	—	2	2	no	—
13	C₂×#121×C₄₇	C₂²	1	2	yes	—
14	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
15	C₄₇×#466	—	2	4	no	—
16	C₂×#107×C₄₇	C₂²	1	1	yes	characteristic
17	C₂×#107×C₄₇	C₂²	1	2	yes	—
18	C₂×C₄⋊C₈×C₄₇	—	2	4	no	—
19	C₂×C₄⋊C₈×C₄₇	C₂²	1	2	yes	—
20	C₂×C₄⋊C₈×C₄₇	C₂²	1	2	yes	—
21	C₂×#102×C₄₇	C₂²	1	2	yes	—
22	C₂×#102×C₄₇	C₂²	1	4	yes	—
23	C₄₇×#390	C₂²	1	4	yes	—
24	C₄₇×#389	C₂²	1	4	yes	—
25	C₄₇×#388	—	2	4	no	—
26	C₄₇×#386	—	2	2	no	—
27	C₄₇×#380	C₂²	1	2	yes	—
28	C₄₇×#340	C₂²	1	2	yes	—
29	C₄₇×#340	C₂²	1	4	yes	—
30	C₂²×D₄×C₄₇	—	2	2	no	—
31	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
32	C₂³×C₄×C₄₇	D₄	1	1	yes	characteristic
33	C₂³×C₄×C₄₇	D₄	1	1	yes	characteristic
34	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
35	C₂×D₈×C₄₇	—	2	2	no	—
36	C₂×D₈×C₄₇	—	4	2	no	—
37	C₂²×C₈×C₄₇	—	2	2	no	—
38	C₂²×C₈×C₄₇	—	4	2	no	—
39	C₂²×C₈×C₄₇	—	4	2	no	—
40	C₂²×C₈×C₄₇	D₄	1	4	yes	—
41	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
42	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
43	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
44	#123×C₄₇	—	4	8	no	—
45	#121×C₄₇	—	2	4	no	—
46	#121×C₄₇	—	2	4	no	—
47	C₂×C₄⋊C₄×C₄₇	—	2	4	no	—
48	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
49	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	—
50	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
51	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
52	C₂×C₂²⋊C₄×C₄₇	—	2	4	no	—
53	C₂×C₂²⋊C₄×C₄₇	—	2	4	no	—
54	C₂×C₄²×C₄₇	—	2	2	no	—
55	C₂×C₄²×C₄₇	—	2	2	no	—
56	C₂×C₄²×C₄₇	D₄	1	2	yes	—
57	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
58	#107×C₄₇	—	2	2	no	—
59	#107×C₄₇	—	4	2	no	—
60	C₄⋊C₈×C₄₇	—	2	4	no	—
61	C₄⋊C₈×C₄₇	—	2	4	no	—
62	#102×C₄₇	—	2	4	no	—
63	#102×C₄₇	—	4	4	no	—
64	#95×C₄₇	—	2	2	no	—
65	#95×C₄₇	—	2	4	no	—
66	C₂⁴×C₄₇	—	2	2	no	—
67	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
68	C₂×D₄×C₄₇	—	2	2	no	—
69	C₂×D₄×C₄₇	—	2	2	no	—
70	C₂×D₄×C₄₇	—	2	4	no	—
71	C₂×D₄×C₄₇	—	2	4	no	—
72	C₂×D₄×C₄₇	—	4	4	no	—
73	C₂×D₄×C₄₇	—	4	4	no	—
74	C₂×D₄×C₄₇	—	4	4	no	—
75	C₂²×C₄×C₄₇	—	2	2	no	—
76	C₂²×C₄×C₄₇	—	2	2	no	—
77	C₂²×C₄×C₄₇	—	2	2	no	—
78	C₂²×C₄×C₄₇	—	2	2	no	—
79	C₂²×C₄×C₄₇	—	2	2	no	—
80	C₂²×C₄×C₄₇	—	2	4	no	—
81	C₂²×C₄×C₄₇	—	2	2	no	—
82	C₂²×C₄×C₄₇	—	4	2	no	—
83	C₂²×C₄×C₄₇	D₈	1	4	yes	complemented
84	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
85	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₄₇	#41	1	2	yes	—
89	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
90	D₈×C₄₇	—	4	4	no	—
91	C₂×C₈×C₄₇	—	2	2	no	—
92	C₂×C₈×C₄₇	—	2	2	no	—
93	C₂×C₈×C₄₇	—	2	2	no	—
94	C₂×C₈×C₄₇	—	2	4	no	—
95	C₂×C₈×C₄₇	—	4	4	no	—
96	C₂×C₈×C₄₇	—	4	4	no	—
97	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
98	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
99	C₄⋊C₄×C₄₇	—	2	2	no	—
100	C₄⋊C₄×C₄₇	—	2	2	no	—
101	C₄⋊C₄×C₄₇	—	2	4	no	—
102	C₄⋊C₄×C₄₇	—	2	4	no	—
103	C₄⋊C₄×C₄₇	—	4	8	no	—
104	C₂²⋊C₄×C₄₇	—	4	8	no	—
105	C₂²⋊C₄×C₄₇	—	4	4	no	—
106	C₂²⋊C₄×C₄₇	—	4	4	no	—
107	C₂²⋊C₄×C₄₇	—	4	8	no	—
108	C₄²×C₄₇	—	2	4	no	—
109	C₄²×C₄₇	—	2	2	no	—
110	C₄²×C₄₇	—	2	2	no	—
111	C₂³×C₄₇	—	2	2	no	—
112	C₂³×C₄₇	—	2	2	no	—
113	C₂³×C₄₇	—	4	2	no	—
114	C₂³×C₄₇	—	4	4	no	—
115	C₂³×C₄₇	—	4	2	no	—
116	C₂³×C₄₇	—	4	2	no	—
117	C₂³×C₄₇	—	4	4	no	—
118	C₂³×C₄₇	#121	1	2	yes	—
119	C₂³×C₄₇	C₂×D₈	1	2	yes	—
120	C₂³×C₄₇	#135	1	2	yes	—
121	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
122	D₄×C₄₇	—	4	2	no	—
123	D₄×C₄₇	—	4	2	no	—
124	D₄×C₄₇	—	4	4	no	—
125	D₄×C₄₇	—	8	8	no	—
126	C₂×C₄×C₄₇	—	2	2	no	—
127	C₂×C₄×C₄₇	—	2	2	no	—
128	C₂×C₄×C₄₇	—	2	2	no	—
129	C₂×C₄×C₄₇	—	2	8	no	—
130	C₂×C₄×C₄₇	—	2	2	no	—
131	C₂×C₄×C₄₇	—	2	2	no	—
132	C₂×C₄×C₄₇	—	2	4	no	—
133	C₂×C₄×C₄₇	—	2	2	no	—
134	C₂×C₄×C₄₇	—	2	4	no	—
135	C₂×C₄×C₄₇	—	4	4	no	—
136	C₂×C₄×C₄₇	—	4	2	no	—
137	C₂×C₄×C₄₇	—	4	4	no	—
138	C₂×C₄×C₄₇	—	4	4	no	—
139	C₂×C₄×C₄₇	—	4	2	no	—
140	C₂×C₄×C₄₇	—	4	2	no	—
141	C₂×C₄×C₄₇	—	4	4	no	—
142	C₂×C₄×C₄₇	#121	1	2	yes	—
143	C₂×C₄×C₄₇	C₂×D₈	1	4	yes	—
144	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
145	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
146	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
147	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
148	C₈×C₄₇	—	2	2	no	—
149	C₈×C₄₇	—	2	2	no	—
150	C₈×C₄₇	—	4	2	no	—
151	#29770	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
152	C₂²×C₄₇	—	2	2	no	—
153	C₂²×C₄₇	—	2	4	no	—
154	C₂²×C₄₇	—	2	4	no	—
155	C₂²×C₄₇	—	2	2	no	—
156	C₂²×C₄₇	—	8	2	no	—
157	C₂²×C₄₇	—	8	4	no	—
158	C₂²×C₄₇	—	8	4	no	—
159	C₂²×C₄₇	—	8	2	no	—
160	C₂²×C₄₇	—	8	2	no	—
161	C₂²×C₄₇	#466	1	4	yes	—
162	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
163	C₂²×C₄₇	#537	1	2	yes	—
164	C₂²×C₄₇	C₂²×D₈	1	1	yes	characteristic
165	C₂²×C₄₇	C₂×#135	1	1	yes	characteristic
166	C₂²×C₄₇	#575	1	2	yes	—
167	C₄×C₄₇	—	2	2	no	—
168	C₄×C₄₇	—	2	4	no	—
169	C₄×C₄₇	—	4	2	no	—
170	C₄×C₄₇	—	8	4	no	—
171	C₄×C₄₇	—	8	2	no	—
172	C₄×C₄₇	#534	1	1	yes	characteristic
173	C₄×C₄₇	#536	1	1	yes	characteristic
174	C₄×C₄₇	#539	1	2	yes	—
175	C₂×#466	C₂×C₄₇	1	1	yes	characteristic
176	C₂²×C₄⋊C₈	C₂×C₄₇	1	1	yes	characteristic, complemented
177	#2854	C₂×C₄₇	1	2	yes	complemented
178	#2086	C₂×C₄₇	1	2	yes	complemented
179	#2067	C₂×C₄₇	1	4	yes	complemented
180	#2054	C₂×C₄₇	1	2	yes	complemented
181	#1893	C₂×C₄₇	1	2	yes	complemented
182	#1808	C₂×C₄₇	1	1	yes	characteristic, complemented
183	C₂×C₄₇	—	2	4	no	—
184	C₂×C₄₇	—	16	2	no	—
185	C₂×C₄₇	#2618	1	1	yes	characteristic
186	C₂×C₄₇	C₂×#466	1	1	yes	characteristic
187	C₂×C₄₇	#3054	1	1	yes	characteristic
188	C₂×C₄₇	#3245	1	2	yes	—
189	C₂×C₄₇	#3250	1	2	yes	—
190	C₂²×D₈	C₂²×C₄₇	1	1	yes	characteristic
191	C₂³×C₈	C₂²×C₄₇	1	1	yes	characteristic
192	C₂³×C₈	C₂²×C₄₇	1	1	yes	characteristic
193	C₂×#123	—	2	2	no	—
194	C₂×#121	C₂²×C₄₇	1	2	yes	—
195	C₂²×C₄²	C₂²×C₄₇	1	1	yes	characteristic
196	#466	—	2	4	no	—
197	C₂×#107	C₂²×C₄₇	1	1	yes	characteristic
198	C₂×#107	C₂²×C₄₇	1	2	yes	—
199	C₂×C₄⋊C₈	—	2	4	no	—
200	C₂×C₄⋊C₈	C₂²×C₄₇	1	2	yes	—
201	C₂×C₄⋊C₈	C₂²×C₄₇	1	2	yes	—
202	C₂×#102	C₂²×C₄₇	1	2	yes	—
203	C₂×#102	C₂²×C₄₇	1	4	yes	—
204	#390	C₂²×C₄₇	1	4	yes	—
205	#389	C₂²×C₄₇	1	4	yes	—
206	#388	—	2	4	no	—
207	#386	—	2	2	no	—
208	#380	C₂²×C₄₇	1	2	yes	—
209	#340	C₂²×C₄₇	1	2	yes	—
210	#340	C₂²×C₄₇	1	4	yes	—
211	C₄₇	#29770	1	1	yes	characteristic, direct product factor, Sylow
212	C₂²×D₄	—	2	2	no	—
213	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
214	C₂³×C₄	D₄×C₄₇	1	1	yes	characteristic
215	C₂³×C₄	D₄×C₄₇	1	1	yes	characteristic
216	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
217	C₂×D₈	—	2	2	no	—
218	C₂×D₈	—	4	2	no	—
219	C₂²×C₈	—	2	2	no	—
220	C₂²×C₈	—	4	2	no	—
221	C₂²×C₈	—	4	2	no	—
222	C₂²×C₈	D₄×C₄₇	1	4	yes	—
223	C₂²×C₈	C₂³×C₄₇	1	2	yes	—
224	C₂²×C₈	C₂³×C₄₇	1	1	yes	characteristic
225	C₂²×C₈	C₂³×C₄₇	1	1	yes	characteristic
226	#123	—	4	8	no	—
227	#121	—	2	4	no	—
228	#121	—	2	4	no	—
229	C₂×C₄⋊C₄	—	2	4	no	—
230	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
231	C₂×C₄⋊C₄	C₂³×C₄₇	1	4	yes	—
232	C₂×C₂²⋊C₄	—	2	2	no	—
233	C₂×C₂²⋊C₄	—	2	2	no	—
234	C₂×C₂²⋊C₄	—	2	4	no	—
235	C₂×C₂²⋊C₄	—	2	4	no	—
236	C₂×C₄²	—	2	2	no	—
237	C₂×C₄²	—	2	2	no	—
238	C₂×C₄²	D₄×C₄₇	1	2	yes	—
239	C₂×C₄²	C₂³×C₄₇	1	2	yes	—
240	#107	—	2	2	no	—
241	#107	—	4	2	no	—
242	C₄⋊C₈	—	2	4	no	—
243	C₄⋊C₈	—	2	4	no	—
244	#102	—	2	4	no	—
245	#102	—	4	4	no	—
246	#95	—	2	2	no	—
247	#95	—	2	4	no	—
248	C₂⁴	—	2	2	no	—
249	C₂⁴	C₂×D₄×C₄₇	1	1	yes	characteristic
250	C₂×D₄	—	2	2	no	—
251	C₂×D₄	—	2	2	no	—
252	C₂×D₄	—	2	4	no	—
253	C₂×D₄	—	2	4	no	—
254	C₂×D₄	—	4	4	no	—
255	C₂×D₄	—	4	4	no	—
256	C₂×D₄	—	4	4	no	—
257	C₂²×C₄	—	2	2	no	—
258	C₂²×C₄	—	2	2	no	—
259	C₂²×C₄	—	2	2	no	—
260	C₂²×C₄	—	2	2	no	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	2	4	no	—
263	C₂²×C₄	—	2	2	no	—
264	C₂²×C₄	—	4	2	no	—
265	C₂²×C₄	D₈×C₄₇	1	4	yes	complemented
266	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
267	C₂²×C₄	C₂×D₄×C₄₇	1	1	yes	characteristic
268	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
269	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
270	C₂²×C₄	#41×C₄₇	1	2	yes	—
271	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
272	D₈	—	4	4	no	—
273	C₂×C₈	—	2	2	no	—
274	C₂×C₈	—	2	2	no	—
275	C₂×C₈	—	2	2	no	—
276	C₂×C₈	—	2	4	no	—
277	C₂×C₈	—	4	4	no	—
278	C₂×C₈	—	4	4	no	—
279	C₂×C₈	C₂×D₄×C₄₇	1	2	yes	—
280	C₂×C₈	C₂×D₄×C₄₇	1	2	yes	—
281	C₄⋊C₄	—	2	2	no	—
282	C₄⋊C₄	—	2	2	no	—
283	C₄⋊C₄	—	2	4	no	—
284	C₄⋊C₄	—	2	4	no	—
285	C₄⋊C₄	—	4	8	no	—
286	C₂²⋊C₄	—	4	8	no	—
287	C₂²⋊C₄	—	4	4	no	—
288	C₂²⋊C₄	—	4	4	no	—
289	C₂²⋊C₄	—	4	8	no	—
290	C₄²	—	2	4	no	—
291	C₄²	—	2	2	no	—
292	C₄²	—	2	2	no	—
293	C₂³	—	2	2	no	—
294	C₂³	—	2	2	no	—
295	C₂³	—	4	2	no	—
296	C₂³	—	4	4	no	—
297	C₂³	—	4	2	no	—
298	C₂³	—	4	2	no	—
299	C₂³	—	4	4	no	—
300	C₂³	#121×C₄₇	1	2	yes	—
301	C₂³	C₂×D₈×C₄₇	1	2	yes	—
302	C₂³	#135×C₄₇	1	2	yes	—
303	C₂³	C₂²×D₄×C₄₇	1	1	yes	characteristic
304	D₄	—	4	2	no	—
305	D₄	—	4	2	no	—
306	D₄	—	4	4	no	—
307	D₄	—	8	8	no	—
308	C₂×C₄	—	2	8	no	—
309	C₂×C₄	—	2	2	no	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	2	2	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	4	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	4	no	—
317	C₂×C₄	—	4	4	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	4	4	no	—
320	C₂×C₄	—	4	4	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	4	4	no	—
324	C₂×C₄	#121×C₄₇	1	2	yes	—
325	C₂×C₄	C₂×D₈×C₄₇	1	4	yes	—
326	C₂×C₄	C₂²×D₄×C₄₇	1	1	yes	characteristic
327	C₂×C₄	C₂×#41×C₄₇	1	1	yes	characteristic
328	C₂×C₄	H(5,𝔽₂)×C₄₇	1	2	yes	—
329	C₂×C₄	2₋¹⁺⁴×C₄₇	1	2	yes	—
330	C₈	—	2	2	no	—
331	C₈	—	2	2	no	—
332	C₈	—	4	2	no	—
333	C₂²	—	2	2	no	—
334	C₂²	—	2	2	no	—
335	C₂²	—	2	4	no	—
336	C₂²	—	2	4	no	—
337	C₂²	—	8	2	no	—
338	C₂²	—	8	2	no	—
339	C₂²	—	8	2	no	—
340	C₂²	—	8	4	no	—
341	C₂²	—	8	4	no	—
342	C₂²	C₄₇×#466	1	4	yes	—
343	C₂²	C₂×#121×C₄₇	1	1	yes	characteristic
344	C₂²	C₄₇×#537	1	2	yes	—
345	C₂²	C₂²×D₈×C₄₇	1	1	yes	characteristic
346	C₂²	C₂×#135×C₄₇	1	1	yes	characteristic
347	C₂²	C₄₇×#575	1	2	yes	—
348	C₄	—	2	4	no	—
349	C₄	—	2	2	no	—
350	C₄	—	4	2	no	—
351	C₄	—	8	2	no	—
352	C₄	—	8	4	no	—
353	C₄	C₄₇×#534	1	1	yes	characteristic
354	C₄	C₄₇×#536	1	1	yes	characteristic
355	C₄	C₄₇×#539	1	2	yes	—
356	C₂	—	2	4	no	—
357	C₂	—	16	2	no	—
358	C₂	C₄₇×#2618	1	1	yes	characteristic
359	C₂	C₂×C₄₇×#466	1	1	yes	characteristic
360	C₂	C₄₇×#3054	1	1	yes	characteristic
361	C₂	C₄₇×#3245	1	2	yes	—
362	C₂	C₄₇×#3250	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₇
prime radical	C₂×C₄₇×#466	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₇ ◁ C₂²×C₄²×C₄₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂²×C₄⋊C₈×C₄₇	C₂	semidirect
3. C₄₇×#2854	C₂	semidirect
4. C₄₇×#2086	C₂	semidirect
5. C₄₇×#2067	C₂	semidirect
6. C₄₇×#2054	C₂	semidirect
7. C₄₇×#1893	C₂	semidirect
8. C₄₇×#1808	C₂	semidirect
83. C₂²×C₄×C₄₇	D₈	semidirect
151. #29770	C₄₇	direct (N × H)
176. C₂²×C₄⋊C₈	C₂×C₄₇	semidirect
177. #2854	C₂×C₄₇	semidirect
178. #2086	C₂×C₄₇	semidirect
179. #2067	C₂×C₄₇	semidirect
180. #2054	C₂×C₄₇	semidirect
181. #1893	C₂×C₄₇	semidirect
182. #1808	C₂×C₄₇	semidirect
211. C₄₇	#29770	direct (N × H)
265. C₂²×C₄	D₈×C₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄₇×#466	2
C₂²×C₄⋊C₈×C₄₇	2
C₄₇×#2854	2
C₄₇×#2086	2
C₄₇×#2067	2
C₄₇×#2054	2
C₄₇×#1893	2
C₄₇×#1808	2
#29770	47

Subgroups — C47×#29770 #26069468

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#29770 #26069468