Subgroups — C₄₇×#29701 #26069399

Order 12032.

940 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₇×#541	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄₇×#479	C₂	1	2	yes	maximal, complemented
3	C₄₇×#2629	C₂	1	1	yes	maximal, characteristic
4	C₄₇×#2059	C₂	1	2	yes	maximal, complemented
5	C₄₇×#2043	C₂	1	2	yes	maximal, complemented
6	C₄₇×#2036	C₂	1	2	yes	maximal
7	C₄₇×#2035	C₂	1	2	yes	maximal
8	C₄₇×#1803	C₂	1	2	yes	maximal, complemented
9	C₄₇×#1798	C₂	1	1	yes	maximal, characteristic
10	C₄₇×#541	—	2	8	no	—
11	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
12	C₂×#126×C₄₇	—	2	2	no	—
13	C₂×#125×C₄₇	—	2	2	no	—
14	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
15	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
16	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	2	yes	—
17	C₂×C₄×Q₈×C₄₇	C₂²	1	2	yes	—
18	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
19	C₄₇×#479	—	2	8	no	—
20	C₂×#107×C₄₇	C₂²	1	2	yes	—
21	C₂×#106×C₄₇	C₂²	1	2	yes	—
22	C₂×C₄⋊C₈×C₄₇	C₂²	1	2	yes	—
23	C₂×#103×C₄₇	C₂²	1	2	yes	—
24	C₂×#103×C₄₇	C₂²	1	2	yes	—
25	C₂×#103×C₄₇	C₂²	1	2	yes	—
26	C₂×#103×C₄₇	C₂²	1	2	yes	—
27	C₂×C₂²⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
28	C₂×C₂²⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
29	C₄₇×#398	—	2	2	no	—
30	C₄₇×#396	—	2	2	no	—
31	C₄₇×#389	C₂²	1	2	yes	—
32	C₄₇×#384	C₂²	1	1	yes	characteristic
33	C₄₇×#380	C₂²	1	2	yes	—
34	C₄₇×#340	C₂²	1	2	yes	—
35	C₄₇×#340	C₂²	1	2	yes	—
36	C₄₇×#336	C₂²	1	2	yes	—
37	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
38	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
39	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
40	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
41	C₄⋊Q₈×C₄₇	—	2	4	no	—
42	#126×C₄₇	—	2	16	no	—
43	#125×C₄₇	—	2	16	no	—
44	#125×C₄₇	—	2	4	no	—
45	#125×C₄₇	—	2	4	no	—
46	C₂²⋊Q₈×C₄₇	—	2	4	no	—
47	C₂²⋊Q₈×C₄₇	—	2	4	no	—
48	C₄×Q₈×C₄₇	—	2	4	no	—
49	C₄×Q₈×C₄₇	D₄	1	8	yes	—
50	#117×C₄₇	—	2	4	no	—
51	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
52	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
53	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
54	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
55	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
56	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
57	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
58	C₂×C₄⋊C₄×C₄₇	D₄	1	2	yes	—
59	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
60	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
61	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
62	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
63	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
64	C₂×C₂²⋊C₄×C₄₇	D₄	1	2	yes	—
65	C₂×C₄²×C₄₇	—	2	2	no	—
66	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
67	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
68	#107×C₄₇	—	2	4	no	—
69	#106×C₄₇	—	2	4	no	—
70	C₄⋊C₈×C₄₇	—	2	4	no	—
71	#103×C₄₇	—	2	4	no	—
72	#103×C₄₇	—	2	4	no	—
73	#103×C₄₇	—	4	2	no	—
74	#103×C₄₇	—	4	2	no	—
75	C₂²⋊C₈×C₄₇	—	4	1	no	—
76	C₂²⋊C₈×C₄₇	—	4	1	no	—
77	#95×C₄₇	—	2	2	no	—
78	#95×C₄₇	—	2	2	no	—
79	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
80	C₂×Q₈×C₄₇	—	2	2	no	—
81	C₂×Q₈×C₄₇	—	2	2	no	—
82	C₂×Q₈×C₄₇	—	2	2	no	—
83	C₂×Q₈×C₄₇	—	2	2	no	—
84	C₂×Q₈×C₄₇	—	2	2	no	—
85	C₂×Q₈×C₄₇	C₂×D₄	1	4	yes	—
86	C₂²×C₄×C₄₇	—	2	2	no	—
87	C₂²×C₄×C₄₇	—	2	2	no	—
88	C₂²×C₄×C₄₇	—	2	2	no	—
89	C₂²×C₄×C₄₇	—	2	1	no	—
90	C₂²×C₄×C₄₇	—	2	2	no	—
91	C₂²×C₄×C₄₇	—	2	1	no	—
92	C₂²×C₄×C₄₇	—	2	2	no	—
93	C₂²×C₄×C₄₇	—	2	2	no	—
94	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
97	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
98	C₂×C₈×C₄₇	—	2	2	no	—
99	C₂×C₈×C₄₇	—	2	2	no	—
100	C₂×C₈×C₄₇	—	2	2	no	—
101	C₂×C₈×C₄₇	—	2	2	no	—
102	C₂×C₈×C₄₇	—	2	2	no	—
103	C₂×C₈×C₄₇	—	2	2	no	—
104	C₄⋊C₄×C₄₇	—	2	8	no	—
105	C₄⋊C₄×C₄₇	—	2	8	no	—
106	C₄⋊C₄×C₄₇	—	2	8	no	—
107	C₄⋊C₄×C₄₇	—	2	8	no	—
108	C₄⋊C₄×C₄₇	—	2	4	no	—
109	C₄⋊C₄×C₄₇	—	2	2	no	—
110	C₄⋊C₄×C₄₇	—	2	2	no	—
111	C₄⋊C₄×C₄₇	—	2	2	no	—
112	C₄⋊C₄×C₄₇	—	2	2	no	—
113	C₄⋊C₄×C₄₇	—	2	2	no	—
114	C₄⋊C₄×C₄₇	—	4	4	no	—
115	C₄⋊C₄×C₄₇	—	8	2	no	—
116	C₄⋊C₄×C₄₇	—	8	2	no	—
117	C₄⋊C₄×C₄₇	C₂×D₄	1	4	yes	—
118	C₂²⋊C₄×C₄₇	—	2	8	no	—
119	C₂²⋊C₄×C₄₇	—	2	4	no	—
120	C₂²⋊C₄×C₄₇	—	8	2	no	—
121	C₄²×C₄₇	—	2	8	no	—
122	C₄²×C₄₇	—	2	2	no	—
123	C₄²×C₄₇	C₂×D₄	1	4	yes	—
124	C₂³×C₄₇	—	2	1	no	—
125	C₂³×C₄₇	—	2	1	no	—
126	C₂³×C₄₇	—	2	1	no	—
127	C₂³×C₄₇	—	2	2	no	—
128	C₂³×C₄₇	—	2	2	no	—
129	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
130	Q₈×C₄₇	—	2	4	no	—
131	Q₈×C₄₇	—	2	4	no	—
132	Q₈×C₄₇	—	4	2	no	—
133	Q₈×C₄₇	—	4	2	no	—
134	C₂×C₄×C₄₇	—	2	2	no	—
135	C₂×C₄×C₄₇	—	2	2	no	—
136	C₂×C₄×C₄₇	—	2	2	no	—
137	C₂×C₄×C₄₇	—	2	4	no	—
138	C₂×C₄×C₄₇	—	2	4	no	—
139	C₂×C₄×C₄₇	—	2	1	no	—
140	C₂×C₄×C₄₇	—	2	1	no	—
141	C₂×C₄×C₄₇	—	2	1	no	—
142	C₂×C₄×C₄₇	—	2	2	no	—
143	C₂×C₄×C₄₇	—	2	2	no	—
144	C₂×C₄×C₄₇	—	4	2	no	—
145	C₂×C₄×C₄₇	—	4	2	no	—
146	C₂×C₄×C₄₇	—	4	2	no	—
147	C₂×C₄×C₄₇	—	4	2	no	—
148	C₂×C₄×C₄₇	—	4	2	no	—
149	C₂×C₄×C₄₇	—	4	2	no	—
150	C₂×C₄×C₄₇	—	4	2	no	—
151	C₂×C₄×C₄₇	—	4	2	no	—
152	C₂×C₄×C₄₇	—	4	2	no	—
153	C₂×C₄×C₄₇	—	4	2	no	—
154	C₂×C₄×C₄₇	—	4	2	no	—
155	C₂×C₄×C₄₇	—	4	2	no	—
156	C₂×C₄×C₄₇	#120	1	4	yes	—
157	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
158	C₂×C₄×C₄₇	H(5,𝔽₂)	1	1	yes	characteristic
159	C₂×C₄×C₄₇	2₋¹⁺⁴	1	1	yes	characteristic
160	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
161	C₈×C₄₇	—	4	2	no	—
162	C₈×C₄₇	—	4	2	no	—
163	#29701	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
164	C₂²×C₄₇	—	4	1	no	—
165	C₂²×C₄₇	—	4	2	no	—
166	C₂²×C₄₇	—	4	1	no	—
167	C₂²×C₄₇	—	4	1	no	—
168	C₂²×C₄₇	—	4	2	no	—
169	C₂²×C₄₇	C₂×#120	1	1	yes	characteristic
170	C₂²×C₄₇	#536	1	1	yes	characteristic
171	C₂²×C₄₇	#537	1	1	yes	characteristic
172	C₂²×C₄₇	#577	1	2	yes	—
173	C₂²×C₄₇	#578	1	2	yes	—
174	C₄×C₄₇	—	2	4	no	—
175	C₄×C₄₇	—	4	1	no	—
176	C₄×C₄₇	—	4	4	no	—
177	C₄×C₄₇	—	4	2	no	—
178	C₄×C₄₇	—	4	4	no	—
179	C₄×C₄₇	—	8	2	no	—
180	C₄×C₄₇	—	8	2	no	—
181	C₄×C₄₇	#536	1	2	yes	—
182	C₄×C₄₇	#537	1	2	yes	—
183	C₂×#541	C₂×C₄₇	1	1	yes	characteristic
184	C₂×#479	C₂×C₄₇	1	2	yes	complemented
185	#2629	C₂×C₄₇	1	1	yes	characteristic
186	#2059	C₂×C₄₇	1	2	yes	complemented
187	#2043	C₂×C₄₇	1	2	yes	complemented
188	#2036	C₂×C₄₇	1	2	yes	—
189	#2035	C₂×C₄₇	1	2	yes	—
190	#1803	C₂×C₄₇	1	2	yes	complemented
191	#1798	C₂×C₄₇	1	1	yes	characteristic
192	C₂×C₄₇	—	8	1	no	—
193	C₂×C₄₇	#2616	1	1	yes	characteristic
194	C₂×C₄₇	#3013	1	2	yes	—
195	C₂×C₄₇	#3242	1	2	yes	—
196	C₂×C₄₇	#3260	1	1	yes	characteristic
197	C₂×C₄₇	#3261	1	1	yes	characteristic
198	#541	—	2	8	no	—
199	C₂×C₄⋊Q₈	C₂²×C₄₇	1	1	yes	characteristic
200	C₂×#126	—	2	2	no	—
201	C₂×#125	—	2	2	no	—
202	C₂×#125	C₂²×C₄₇	1	1	yes	characteristic
203	C₂×#125	C₂²×C₄₇	1	1	yes	characteristic
204	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	2	yes	—
205	C₂×C₄×Q₈	C₂²×C₄₇	1	2	yes	—
206	C₂×#117	C₂²×C₄₇	1	1	yes	characteristic
207	#479	—	2	8	no	—
208	C₂×#107	C₂²×C₄₇	1	2	yes	—
209	C₂×#106	C₂²×C₄₇	1	2	yes	—
210	C₂×C₄⋊C₈	C₂²×C₄₇	1	2	yes	—
211	C₂×#103	C₂²×C₄₇	1	2	yes	—
212	C₂×#103	C₂²×C₄₇	1	2	yes	—
213	C₂×#103	C₂²×C₄₇	1	2	yes	—
214	C₂×#103	C₂²×C₄₇	1	2	yes	—
215	C₂×C₂²⋊C₈	C₂²×C₄₇	1	1	yes	characteristic
216	C₂×C₂²⋊C₈	C₂²×C₄₇	1	1	yes	characteristic
217	#398	—	2	2	no	—
218	#396	—	2	2	no	—
219	#389	C₂²×C₄₇	1	2	yes	—
220	#384	C₂²×C₄₇	1	1	yes	characteristic
221	#380	C₂²×C₄₇	1	2	yes	—
222	#340	C₂²×C₄₇	1	2	yes	—
223	#340	C₂²×C₄₇	1	2	yes	—
224	#336	C₂²×C₄₇	1	2	yes	—
225	C₄₇	#29701	1	1	yes	characteristic, direct product factor, Sylow
226	C₂²×Q₈	C₂³×C₄₇	1	2	yes	—
227	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
228	C₂²×C₈	C₂³×C₄₇	1	2	yes	—
229	C₂²×C₈	C₂³×C₄₇	1	2	yes	—
230	C₄⋊Q₈	—	2	4	no	—
231	#126	—	2	16	no	—
232	#125	—	2	16	no	—
233	#125	—	2	4	no	—
234	#125	—	2	4	no	—
235	C₂²⋊Q₈	—	2	4	no	—
236	C₂²⋊Q₈	—	2	4	no	—
237	C₄×Q₈	—	2	4	no	—
238	C₄×Q₈	D₄×C₄₇	1	8	yes	—
239	#117	—	2	4	no	—
240	C₂×C₄⋊C₄	—	2	2	no	—
241	C₂×C₄⋊C₄	—	2	2	no	—
242	C₂×C₄⋊C₄	—	2	2	no	—
243	C₂×C₄⋊C₄	—	2	2	no	—
244	C₂×C₄⋊C₄	—	2	2	no	—
245	C₂×C₄⋊C₄	—	2	2	no	—
246	C₂×C₄⋊C₄	—	2	2	no	—
247	C₂×C₄⋊C₄	D₄×C₄₇	1	2	yes	—
248	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
249	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
250	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
251	C₂×C₂²⋊C₄	—	2	2	no	—
252	C₂×C₂²⋊C₄	—	2	2	no	—
253	C₂×C₂²⋊C₄	D₄×C₄₇	1	2	yes	—
254	C₂×C₄²	—	2	2	no	—
255	C₂×C₄²	C₂³×C₄₇	1	1	yes	characteristic
256	C₂×C₄²	C₂³×C₄₇	1	1	yes	characteristic
257	#107	—	2	4	no	—
258	#106	—	2	4	no	—
259	C₄⋊C₈	—	2	4	no	—
260	#103	—	2	4	no	—
261	#103	—	2	4	no	—
262	#103	—	4	2	no	—
263	#103	—	4	2	no	—
264	C₂²⋊C₈	—	4	1	no	—
265	C₂²⋊C₈	—	4	1	no	—
266	#95	—	2	2	no	—
267	#95	—	2	2	no	—
268	C₂⁴	C₂×D₄×C₄₇	1	1	yes	characteristic
269	C₂×Q₈	—	2	2	no	—
270	C₂×Q₈	—	2	2	no	—
271	C₂×Q₈	—	2	2	no	—
272	C₂×Q₈	—	2	2	no	—
273	C₂×Q₈	—	2	2	no	—
274	C₂×Q₈	C₂×D₄×C₄₇	1	4	yes	—
275	C₂²×C₄	—	2	2	no	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	—	2	1	no	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	—	2	1	no	—
281	C₂²×C₄	—	2	2	no	—
282	C₂²×C₄	—	2	2	no	—
283	C₂²×C₄	C₂×D₄×C₄₇	1	1	yes	characteristic
284	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
285	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
286	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	—	2	2	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	2	2	no	—
293	C₄⋊C₄	—	2	8	no	—
294	C₄⋊C₄	—	2	8	no	—
295	C₄⋊C₄	—	2	8	no	—
296	C₄⋊C₄	—	2	8	no	—
297	C₄⋊C₄	—	2	4	no	—
298	C₄⋊C₄	—	2	2	no	—
299	C₄⋊C₄	—	2	2	no	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	—	2	2	no	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	4	4	no	—
304	C₄⋊C₄	—	8	2	no	—
305	C₄⋊C₄	—	8	2	no	—
306	C₄⋊C₄	C₂×D₄×C₄₇	1	4	yes	—
307	C₂²⋊C₄	—	2	8	no	—
308	C₂²⋊C₄	—	2	4	no	—
309	C₂²⋊C₄	—	8	2	no	—
310	C₄²	—	2	8	no	—
311	C₄²	—	2	2	no	—
312	C₄²	C₂×D₄×C₄₇	1	4	yes	—
313	C₂³	—	2	1	no	—
314	C₂³	—	2	1	no	—
315	C₂³	—	2	1	no	—
316	C₂³	—	2	2	no	—
317	C₂³	—	2	2	no	—
318	C₂³	C₂²×D₄×C₄₇	1	1	yes	characteristic
319	Q₈	—	2	4	no	—
320	Q₈	—	2	4	no	—
321	Q₈	—	4	2	no	—
322	Q₈	—	4	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	4	no	—
327	C₂×C₄	—	2	4	no	—
328	C₂×C₄	—	2	1	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	2	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	#120×C₄₇	1	4	yes	—
346	C₂×C₄	C₂²×D₄×C₄₇	1	2	yes	—
347	C₂×C₄	H(5,𝔽₂)×C₄₇	1	1	yes	characteristic
348	C₂×C₄	2₋¹⁺⁴×C₄₇	1	1	yes	characteristic
349	C₂×C₄	2₋¹⁺⁴×C₄₇	1	2	yes	—
350	C₈	—	4	2	no	—
351	C₈	—	4	2	no	—
352	C₂²	—	4	1	no	—
353	C₂²	—	4	2	no	—
354	C₂²	—	4	1	no	—
355	C₂²	—	4	1	no	—
356	C₂²	—	4	2	no	—
357	C₂²	C₂×#120×C₄₇	1	1	yes	characteristic
358	C₂²	C₄₇×#536	1	1	yes	characteristic
359	C₂²	C₄₇×#537	1	1	yes	characteristic
360	C₂²	C₄₇×#577	1	2	yes	—
361	C₂²	C₄₇×#578	1	2	yes	—
362	C₄	—	2	4	no	—
363	C₄	—	4	1	no	—
364	C₄	—	4	4	no	—
365	C₄	—	4	2	no	—
366	C₄	—	4	4	no	—
367	C₄	—	8	2	no	—
368	C₄	—	8	2	no	—
369	C₄	C₄₇×#536	1	2	yes	—
370	C₄	C₄₇×#537	1	2	yes	—
371	C₂	—	8	1	no	—
372	C₂	C₄₇×#2616	1	1	yes	characteristic
373	C₂	C₄₇×#3013	1	2	yes	—
374	C₂	C₄₇×#3242	1	2	yes	—
375	C₂	C₄₇×#3260	1	1	yes	characteristic
376	C₂	C₄₇×#3261	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₄₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₇
prime radical	C₂⁴×C₄₇	C₂×D₄
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₇ ◁ C₂×#117×C₄₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₄₇×#479	C₂	semidirect
4. C₄₇×#2059	C₂	semidirect
5. C₄₇×#2043	C₂	semidirect
8. C₄₇×#1803	C₂	semidirect
163. #29701	C₄₇	direct (N × H)
184. C₂×#479	C₂×C₄₇	semidirect
186. #2059	C₂×C₄₇	semidirect
187. #2043	C₂×C₄₇	semidirect
190. #1803	C₂×C₄₇	semidirect
225. C₄₇	#29701	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₄₇×#541	2
C₂×C₄₇×#479	2
C₄₇×#2629	2
C₄₇×#2059	2
C₄₇×#2043	2
C₄₇×#2036	2
C₄₇×#2035	2
C₄₇×#1803	2
C₄₇×#1798	2
#29701	47

Subgroups — C47×#29701 #26069399

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#29701 #26069399