Subgroups — C₄₇×#10848 #26050546

Order 12032.

802 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₇×#423	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×M₁₆×C₄₇	C₂	1	1	yes	maximal, characteristic
3	C₄₇×#2285	C₂	1	1	yes	maximal, characteristic
4	C₂×C₄₇×#344	C₂	1	4	yes	maximal
5	C₂²×M₁₆×C₄₇	C₂²	1	2	yes	—
6	C₂²×M₁₆×C₄₇	C₂²	1	2	yes	—
7	C₂×#117×C₄₇	C₂²	1	2	yes	—
8	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
9	C₄₇×#423	—	2	1	no	—
10	C₄₇×#423	—	2	1	no	—
11	C₄₇×#423	C₄	1	4	yes	complemented
12	C₂×C₄⋊C₈×C₄₇	—	2	2	no	—
13	C₄×M₁₆×C₄₇	—	2	2	no	—
14	C₄×M₁₆×C₄₇	—	2	2	no	—
15	C₂×#97×C₄₇	C₄	1	2	yes	complemented
16	C₂×C₄×C₈×C₄₇	C₄	1	2	yes	complemented
17	C₄₇×#384	—	2	1	no	—
18	C₄₇×#382	—	2	1	no	—
19	C₄₇×#380	C₄	1	4	yes	—
20	C₄×C₄⋊C₄×C₄₇	—	2	2	no	—
21	C₄₇×#344	—	2	8	no	—
22	C₂³×C₄×C₄₇	C₂×C₄	1	2	yes	—
23	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
24	C₂×M₁₆×C₄₇	—	2	2	no	—
25	C₂×M₁₆×C₄₇	—	2	2	no	—
26	C₂×M₁₆×C₄₇	—	2	2	no	—
27	C₂×M₁₆×C₄₇	—	2	2	no	—
28	C₂×M₁₆×C₄₇	—	2	2	no	—
29	C₂×M₁₆×C₄₇	—	2	4	no	—
30	C₂×M₁₆×C₄₇	—	2	4	no	—
31	C₂×M₁₆×C₄₇	C₂×C₄	1	4	yes	—
32	C₂×M₁₆×C₄₇	D₄	1	4	yes	—
33	C₂×M₁₆×C₄₇	Q₈	1	4	yes	—
34	C₂²×C₈×C₄₇	—	2	2	no	—
35	C₂²×C₈×C₄₇	C₂×C₄	1	4	yes	—
36	#117×C₄₇	—	2	4	no	—
37	#117×C₄₇	—	2	4	no	—
38	C₂×C₄⋊C₄×C₄₇	—	2	4	no	—
39	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
40	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	4	yes	—
41	C₂×C₄²×C₄₇	—	2	2	no	—
42	C₂×C₄²×C₄₇	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄²×C₄₇	C₂×C₄	1	1	yes	characteristic
44	C₂×C₄²×C₄₇	C₂×C₄	1	2	yes	—
45	C₂×C₄²×C₄₇	D₄	1	2	yes	—
46	C₂×C₄²×C₄₇	D₄	1	2	yes	—
47	C₂×C₄²×C₄₇	D₄	1	1	yes	characteristic
48	C₂×C₄²×C₄₇	D₄	1	1	yes	characteristic
49	C₂×C₄²×C₄₇	Q₈	1	1	yes	characteristic
50	C₂×C₄²×C₄₇	Q₈	1	1	yes	characteristic
51	C₄⋊C₈×C₄₇	—	2	4	no	—
52	C₄⋊C₈×C₄₇	—	2	4	no	—
53	#97×C₄₇	—	2	4	no	—
54	C₄×C₈×C₄₇	—	2	4	no	—
55	#95×C₄₇	—	2	4	no	—
56	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
57	C₂²×C₄×C₄₇	—	2	4	no	—
58	C₂²×C₄×C₄₇	—	4	4	no	—
59	C₂²×C₄×C₄₇	C₄²	1	2	yes	—
60	C₂²×C₄×C₄₇	C₄²	1	2	yes	—
61	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
62	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
63	C₂²×C₄×C₄₇	C₄⋊C₄	1	2	yes	—
64	C₂²×C₄×C₄₇	C₄⋊C₄	1	2	yes	—
65	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
66	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
67	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
68	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
69	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
70	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
71	C₂²×C₄×C₄₇	C₂×Q₈	1	1	yes	characteristic
72	C₂²×C₄×C₄₇	C₂×Q₈	1	2	yes	—
73	C₂²×C₄×C₄₇	#41	1	2	yes	—
74	C₂²×C₄×C₄₇	#41	1	2	yes	—
75	M₁₆×C₄₇	—	2	4	no	—
76	M₁₆×C₄₇	—	2	4	no	—
77	M₁₆×C₄₇	—	2	4	no	—
78	M₁₆×C₄₇	—	2	4	no	—
79	M₁₆×C₄₇	—	2	8	no	—
80	M₁₆×C₄₇	—	4	2	no	—
81	M₁₆×C₄₇	—	4	2	no	—
82	C₂×C₈×C₄₇	—	2	4	no	—
83	C₂×C₈×C₄₇	—	2	4	no	—
84	C₂×C₈×C₄₇	—	2	4	no	—
85	C₂×C₈×C₄₇	—	4	4	no	—
86	C₂×C₈×C₄₇	C₄⋊C₄	1	8	yes	complemented
87	C₄⋊C₄×C₄₇	—	4	8	no	—
88	C₄⋊C₄×C₄₇	—	4	2	no	—
89	C₄⋊C₄×C₄₇	—	4	2	no	—
90	C₂²⋊C₄×C₄₇	—	2	8	no	—
91	C₄²×C₄₇	—	4	4	no	—
92	C₄²×C₄₇	C₂²⋊C₄	1	2	yes	—
93	C₄²×C₄₇	C₂²⋊C₄	1	2	yes	—
94	C₄²×C₄₇	C₂²⋊C₄	1	2	yes	—
95	C₄²×C₄₇	C₂²⋊C₄	1	2	yes	—
96	C₄²×C₄₇	C₄⋊C₄	1	1	yes	characteristic
97	C₄²×C₄₇	C₄⋊C₄	1	1	yes	characteristic
98	C₄²×C₄₇	C₄⋊C₄	1	1	yes	characteristic
99	C₄²×C₄₇	C₄⋊C₄	1	2	yes	—
100	C₄²×C₄₇	C₄⋊C₄	1	2	yes	—
101	C₄²×C₄₇	C₄⋊C₄	1	1	yes	characteristic
102	C₂³×C₄₇	—	4	2	no	—
103	C₂³×C₄₇	C₂×C₄²	1	1	yes	characteristic
104	C₂³×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
105	C₂³×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
106	C₂³×C₄₇	C₄×D₄	1	2	yes	—
107	C₂³×C₄₇	C₄×Q₈	1	2	yes	—
108	C₂×C₄×C₄₇	—	2	4	no	—
109	C₂×C₄×C₄₇	—	2	4	no	—
110	C₂×C₄×C₄₇	—	2	4	no	—
111	C₂×C₄×C₄₇	—	4	2	no	—
112	C₂×C₄×C₄₇	—	4	2	no	—
113	C₂×C₄×C₄₇	—	4	2	no	—
114	C₂×C₄×C₄₇	—	4	8	no	—
115	C₂×C₄×C₄₇	—	4	4	no	—
116	C₂×C₄×C₄₇	#95	1	2	yes	—
117	C₂×C₄×C₄₇	#95	1	2	yes	—
118	C₂×C₄×C₄₇	#95	1	2	yes	—
119	C₂×C₄×C₄₇	#95	1	2	yes	—
120	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
121	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
122	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
123	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
124	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
125	C₂×C₄×C₄₇	#117	1	2	yes	—
126	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
127	C₂×C₄×C₄₇	C₄×Q₈	1	2	yes	—
128	C₂×C₄×C₄₇	#121	1	2	yes	—
129	C₂×C₄×C₄₇	#121	1	2	yes	—
130	C₂×C₄×C₄₇	C₂²⋊Q₈	1	2	yes	—
131	C₂×C₄×C₄₇	C₂²⋊Q₈	1	2	yes	—
132	C₂×C₄×C₄₇	#124	1	1	yes	characteristic
133	C₂×C₄×C₄₇	#124	1	1	yes	characteristic
134	C₂×C₄×C₄₇	#125	1	2	yes	—
135	C₂×C₄×C₄₇	#127	1	1	yes	characteristic
136	C₂×C₄×C₄₇	C₄⋊Q₈	1	2	yes	—
137	C₂×C₄×C₄₇	C₄⋊Q₈	1	1	yes	characteristic
138	C₈×C₄₇	—	2	8	no	—
139	C₈×C₄₇	—	4	4	no	—
140	#10848	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
141	C₂²×C₄₇	—	2	2	no	—
142	C₂²×C₄₇	—	2	2	no	—
143	C₂²×C₄₇	—	2	2	no	—
144	C₂²×C₄₇	—	4	2	no	—
145	C₂²×C₄₇	—	4	2	no	—
146	C₂²×C₄₇	C₂×#95	1	1	yes	characteristic
147	C₂²×C₄₇	C₄×C₄⋊C₄	1	2	yes	—
148	C₂²×C₄₇	#389	1	2	yes	—
149	C₂²×C₄₇	#390	1	1	yes	characteristic
150	C₂²×C₄₇	#391	1	1	yes	characteristic
151	C₄×C₄₇	—	2	2	no	—
152	C₄×C₄₇	—	2	2	no	—
153	C₄×C₄₇	—	2	2	no	—
154	C₄×C₄₇	—	8	4	no	—
155	C₄×C₄₇	#344	1	4	yes	complemented
156	C₄×C₄₇	#380	1	2	yes	—
157	C₄×C₄₇	#382	1	1	yes	characteristic
158	C₄×C₄₇	#384	1	1	yes	characteristic
159	C₄×C₄₇	#389	1	2	yes	—
160	C₄×C₄₇	#390	1	1	yes	characteristic
161	C₄×C₄₇	#391	1	1	yes	characteristic
162	C₂×#423	C₂×C₄₇	1	1	yes	characteristic
163	C₂×C₄×M₁₆	C₂×C₄₇	1	1	yes	characteristic
164	#2285	C₂×C₄₇	1	1	yes	characteristic
165	C₂×#344	C₂×C₄₇	1	4	yes	—
166	C₂×C₄₇	—	2	1	no	—
167	C₂×C₄₇	—	2	2	no	—
168	C₂×C₄₇	—	2	2	no	—
169	C₂×C₄₇	—	2	1	no	—
170	C₂×C₄₇	C₄⋊#95	1	1	yes	characteristic
171	C₂×C₄₇	C₂×#344	1	2	yes	—
172	C₂²×M₁₆	C₂²×C₄₇	1	2	yes	—
173	C₂²×M₁₆	C₂²×C₄₇	1	2	yes	—
174	C₂×#117	C₂²×C₄₇	1	2	yes	—
175	C₂²×C₄²	C₂²×C₄₇	1	1	yes	characteristic
176	#423	—	2	1	no	—
177	#423	—	2	1	no	—
178	#423	C₄×C₄₇	1	4	yes	complemented
179	C₂×C₄⋊C₈	—	2	2	no	—
180	C₄×M₁₆	—	2	2	no	—
181	C₄×M₁₆	—	2	2	no	—
182	C₂×#97	C₄×C₄₇	1	2	yes	complemented
183	C₂×C₄×C₈	C₄×C₄₇	1	2	yes	complemented
184	#384	—	2	1	no	—
185	#382	—	2	1	no	—
186	#380	C₄×C₄₇	1	4	yes	—
187	C₄×C₄⋊C₄	—	2	2	no	—
188	#344	—	2	8	no	—
189	C₄₇	#10848	1	1	yes	characteristic, direct product factor, Sylow
190	C₂³×C₄	C₂×C₄×C₄₇	1	2	yes	—
191	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
192	C₂×M₁₆	—	2	2	no	—
193	C₂×M₁₆	—	2	2	no	—
194	C₂×M₁₆	—	2	2	no	—
195	C₂×M₁₆	—	2	2	no	—
196	C₂×M₁₆	—	2	2	no	—
197	C₂×M₁₆	—	2	4	no	—
198	C₂×M₁₆	—	2	4	no	—
199	C₂×M₁₆	C₂×C₄×C₄₇	1	4	yes	—
200	C₂×M₁₆	D₄×C₄₇	1	4	yes	—
201	C₂×M₁₆	Q₈×C₄₇	1	4	yes	—
202	C₂²×C₈	—	2	2	no	—
203	C₂²×C₈	C₂×C₄×C₄₇	1	4	yes	—
204	#117	—	2	4	no	—
205	#117	—	2	4	no	—
206	C₂×C₄⋊C₄	—	2	4	no	—
207	C₂×C₄⋊C₄	—	2	2	no	—
208	C₂×C₂²⋊C₄	C₂×C₄×C₄₇	1	4	yes	—
209	C₂×C₄²	—	2	2	no	—
210	C₂×C₄²	C₂×C₄×C₄₇	1	1	yes	characteristic
211	C₂×C₄²	C₂×C₄×C₄₇	1	1	yes	characteristic
212	C₂×C₄²	C₂×C₄×C₄₇	1	2	yes	—
213	C₂×C₄²	D₄×C₄₇	1	2	yes	—
214	C₂×C₄²	D₄×C₄₇	1	2	yes	—
215	C₂×C₄²	D₄×C₄₇	1	1	yes	characteristic
216	C₂×C₄²	D₄×C₄₇	1	1	yes	characteristic
217	C₂×C₄²	Q₈×C₄₇	1	1	yes	characteristic
218	C₂×C₄²	Q₈×C₄₇	1	1	yes	characteristic
219	C₄⋊C₈	—	2	4	no	—
220	C₄⋊C₈	—	2	4	no	—
221	#97	—	2	4	no	—
222	C₄×C₈	—	2	4	no	—
223	#95	—	2	4	no	—
224	C₂⁴	C₂²×C₄×C₄₇	1	1	yes	characteristic
225	C₂²×C₄	—	2	4	no	—
226	C₂²×C₄	—	4	4	no	—
227	C₂²×C₄	C₄²×C₄₇	1	2	yes	—
228	C₂²×C₄	C₄²×C₄₇	1	2	yes	—
229	C₂²×C₄	C₂²⋊C₄×C₄₇	1	2	yes	—
230	C₂²×C₄	C₂²⋊C₄×C₄₇	1	2	yes	—
231	C₂²×C₄	C₄⋊C₄×C₄₇	1	2	yes	—
232	C₂²×C₄	C₄⋊C₄×C₄₇	1	2	yes	—
233	C₂²×C₄	C₂²×C₄×C₄₇	1	1	yes	characteristic
234	C₂²×C₄	C₂²×C₄×C₄₇	1	1	yes	characteristic
235	C₂²×C₄	C₂×D₄×C₄₇	1	1	yes	characteristic
236	C₂²×C₄	C₂×D₄×C₄₇	1	1	yes	characteristic
237	C₂²×C₄	C₂×D₄×C₄₇	1	1	yes	characteristic
238	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
239	C₂²×C₄	C₂×Q₈×C₄₇	1	1	yes	characteristic
240	C₂²×C₄	C₂×Q₈×C₄₇	1	2	yes	—
241	C₂²×C₄	#41×C₄₇	1	2	yes	—
242	C₂²×C₄	#41×C₄₇	1	2	yes	—
243	M₁₆	—	2	4	no	—
244	M₁₆	—	2	4	no	—
245	M₁₆	—	2	4	no	—
246	M₁₆	—	2	4	no	—
247	M₁₆	—	2	8	no	—
248	M₁₆	—	4	2	no	—
249	M₁₆	—	4	2	no	—
250	C₂×C₈	—	2	4	no	—
251	C₂×C₈	—	2	4	no	—
252	C₂×C₈	—	2	4	no	—
253	C₂×C₈	—	4	4	no	—
254	C₂×C₈	C₄⋊C₄×C₄₇	1	8	yes	complemented
255	C₄⋊C₄	—	4	8	no	—
256	C₄⋊C₄	—	4	2	no	—
257	C₄⋊C₄	—	4	2	no	—
258	C₂²⋊C₄	—	2	8	no	—
259	C₄²	—	4	4	no	—
260	C₄²	C₂²⋊C₄×C₄₇	1	2	yes	—
261	C₄²	C₂²⋊C₄×C₄₇	1	2	yes	—
262	C₄²	C₂²⋊C₄×C₄₇	1	2	yes	—
263	C₄²	C₂²⋊C₄×C₄₇	1	2	yes	—
264	C₄²	C₄⋊C₄×C₄₇	1	1	yes	characteristic
265	C₄²	C₄⋊C₄×C₄₇	1	1	yes	characteristic
266	C₄²	C₄⋊C₄×C₄₇	1	1	yes	characteristic
267	C₄²	C₄⋊C₄×C₄₇	1	1	yes	characteristic
268	C₄²	C₄⋊C₄×C₄₇	1	2	yes	—
269	C₄²	C₄⋊C₄×C₄₇	1	2	yes	—
270	C₂³	—	4	2	no	—
271	C₂³	C₂×C₄²×C₄₇	1	1	yes	characteristic
272	C₂³	C₂×C₂²⋊C₄×C₄₇	1	1	yes	characteristic
273	C₂³	C₂×C₄⋊C₄×C₄₇	1	1	yes	characteristic
274	C₂³	C₄×D₄×C₄₇	1	2	yes	—
275	C₂³	C₄×Q₈×C₄₇	1	2	yes	—
276	C₂×C₄	—	2	4	no	—
277	C₂×C₄	—	2	4	no	—
278	C₂×C₄	—	2	4	no	—
279	C₂×C₄	—	4	2	no	—
280	C₂×C₄	—	4	2	no	—
281	C₂×C₄	—	4	2	no	—
282	C₂×C₄	—	4	8	no	—
283	C₂×C₄	—	4	4	no	—
284	C₂×C₄	#95×C₄₇	1	2	yes	—
285	C₂×C₄	#95×C₄₇	1	2	yes	—
286	C₂×C₄	#95×C₄₇	1	2	yes	—
287	C₂×C₄	#95×C₄₇	1	2	yes	—
288	C₂×C₄	C₂×C₂²⋊C₄×C₄₇	1	1	yes	characteristic
289	C₂×C₄	C₂×C₂²⋊C₄×C₄₇	1	1	yes	characteristic
290	C₂×C₄	C₂×C₄⋊C₄×C₄₇	1	2	yes	—
291	C₂×C₄	C₂×C₄⋊C₄×C₄₇	1	1	yes	characteristic
292	C₂×C₄	C₂×C₄⋊C₄×C₄₇	1	1	yes	characteristic
293	C₂×C₄	#117×C₄₇	1	2	yes	—
294	C₂×C₄	C₄×D₄×C₄₇	1	2	yes	—
295	C₂×C₄	C₄×Q₈×C₄₇	1	2	yes	—
296	C₂×C₄	#121×C₄₇	1	2	yes	—
297	C₂×C₄	#121×C₄₇	1	2	yes	—
298	C₂×C₄	C₂²⋊Q₈×C₄₇	1	2	yes	—
299	C₂×C₄	C₂²⋊Q₈×C₄₇	1	2	yes	—
300	C₂×C₄	#124×C₄₇	1	1	yes	characteristic
301	C₂×C₄	#124×C₄₇	1	1	yes	characteristic
302	C₂×C₄	#125×C₄₇	1	2	yes	—
303	C₂×C₄	#127×C₄₇	1	1	yes	characteristic
304	C₂×C₄	C₄⋊Q₈×C₄₇	1	2	yes	—
305	C₂×C₄	C₄⋊Q₈×C₄₇	1	1	yes	characteristic
306	C₈	—	2	8	no	—
307	C₈	—	4	4	no	—
308	C₂²	—	2	2	no	—
309	C₂²	—	2	2	no	—
310	C₂²	—	2	2	no	—
311	C₂²	—	4	2	no	—
312	C₂²	—	4	2	no	—
313	C₂²	C₂×#95×C₄₇	1	1	yes	characteristic
314	C₂²	C₄×C₄⋊C₄×C₄₇	1	2	yes	—
315	C₂²	C₄₇×#389	1	2	yes	—
316	C₂²	C₄₇×#390	1	1	yes	characteristic
317	C₂²	C₄₇×#391	1	1	yes	characteristic
318	C₄	—	2	2	no	—
319	C₄	—	2	2	no	—
320	C₄	—	2	2	no	—
321	C₄	—	8	4	no	—
322	C₄	C₄₇×#344	1	4	yes	complemented
323	C₄	C₄₇×#380	1	2	yes	—
324	C₄	C₄₇×#382	1	1	yes	characteristic
325	C₄	C₄₇×#384	1	1	yes	characteristic
326	C₄	C₄₇×#389	1	2	yes	—
327	C₄	C₄₇×#390	1	1	yes	characteristic
328	C₄	C₄₇×#391	1	1	yes	characteristic
329	C₂	—	2	1	no	—
330	C₂	—	2	2	no	—
331	C₂	—	2	2	no	—
332	C₂	—	2	1	no	—
333	C₂	C₄₇×C₄⋊#95	1	1	yes	characteristic
334	C₂	C₂×C₄₇×#344	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₄₇	C₂×C₂²⋊C₄
commutator	C₂³	C₂×C₄²×C₄₇
Frattini, cosocle	C₂³×C₄	C₂³×C₄₇
socle	C₂²×C₄₇	C₂×#95
prime radical	C₂⁴×C₄₇	C₂²×C₄
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₄₇ ◁ C₂²×C₄²×C₄₇ ◁ G

Complements

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

N	H ≅ G/N	type
11. C₄₇×#423	C₄	semidirect
15. C₂×#97×C₄₇	C₄	semidirect
16. C₂×C₄×C₈×C₄₇	C₄	semidirect
86. C₂×C₈×C₄₇	C₄⋊C₄	semidirect
140. #10848	C₄₇	direct (N × H)
155. C₄×C₄₇	#344	semidirect
178. #423	C₄×C₄₇	semidirect
182. C₂×#97	C₄×C₄₇	semidirect
183. C₂×C₄×C₈	C₄×C₄₇	semidirect
189. C₄₇	#10848	direct (N × H)
254. C₂×C₈	C₄⋊C₄×C₄₇	semidirect
322. C₄	C₄₇×#344	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄₇×#423	2
C₂×C₄×M₁₆×C₄₇	2
C₄₇×#2285	2
C₂×C₄₇×#344	2
#10848	47

Subgroups — C47×#10848 #26050546

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#10848 #26050546