Subgroups — #534×D₄₇ #20256686

Order 6016.

1984 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×D₄×D₄₇	C₂	1	2	yes	maximal, complemented
2	#15689685	C₂	1	1	yes	maximal, characteristic, complemented
3	#15689684	C₂	1	4	yes	maximal, complemented
4	#15689683	C₂	1	4	yes	maximal, complemented
5	#15689682	C₂	1	2	yes	maximal, complemented
6	#15689681	C₂	1	4	yes	maximal, complemented
7	#123×D₄₇	C₂	1	4	yes	maximal, complemented
8	#121×D₄₇	C₂	1	4	yes	maximal, complemented
9	#120×D₄₇	C₂	1	4	yes	maximal, complemented
10	C₂×C₂²⋊C₄×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#534	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂⁴×D₄₇	C₂²	1	1	yes	characteristic
13	C₂⁴×D₄₇	C₂²	1	2	yes	complemented
14	C₂²×D₁₈₈	C₂²	1	2	yes	complemented
15	C₂²×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
16	C₂²×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
17	C₂×D₄×D₄₇	—	2	16	no	—
18	C₂×D₄×D₄₇	C₂²	1	4	yes	—
19	C₂×D₄×D₄₇	C₂²	1	4	yes	complemented
20	C₂×D₄×D₄₇	C₂²	1	4	yes	complemented
21	C₂×D₄×D₄₇	C₂²	1	4	yes	complemented
22	C₂×D₄×D₄₇	C₂²	1	4	yes	complemented
23	C₂²×C₄×D₄₇	C₂²	1	2	yes	complemented
24	C₂²×C₄×D₄₇	C₂²	1	2	yes	complemented
25	#13094009	C₂²	1	8	yes	complemented
26	#13094008	C₂²	1	4	yes	complemented
27	#13094007	C₂²	1	4	yes	complemented
28	#13094006	C₂²	1	8	yes	complemented
29	#13094005	C₂²	1	4	yes	complemented
30	#13093999	C₂²	1	4	yes	complemented
31	#13093998	C₂²	1	4	yes	complemented
32	#13093997	C₂²	1	8	yes	complemented
33	#13093996	C₂²	1	8	yes	complemented
34	#13093995	C₂²	1	4	yes	complemented
35	#13093994	C₂²	1	8	yes	complemented
36	#13093994	C₂²	1	4	yes	complemented
37	#13093993	C₂²	1	4	yes	complemented
38	#13093992	C₂²	1	8	yes	complemented
39	#13093992	C₂²	1	4	yes	complemented
40	C₄⋊C₄×D₄₇	C₂²	1	4	yes	complemented
41	C₂×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic, complemented
42	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	complemented
43	C₂²⋊C₄×D₄₇	C₂²	1	4	yes	complemented
44	C₂²⋊C₄×D₄₇	C₂²	1	8	yes	complemented
45	C₂²⋊C₄×D₄₇	C₂²	1	4	yes	complemented
46	C₂²×D₄×C₄₇	C₂²	1	2	yes	complemented
47	#123×C₄₇	C₂²	1	4	yes	complemented
48	#121×C₄₇	C₂²	1	4	yes	complemented
49	#120×C₄₇	C₂²	1	4	yes	complemented
50	C₂×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
51	C₂⁴×C₄₇	C₂³	1	1	yes	characteristic
52	C₂⁴×C₄₇	C₂³	1	2	yes	complemented
53	C₂³×D₄₇	—	2	8	no	—
54	C₂³×D₄₇	—	4	4	no	—
55	C₂³×D₄₇	—	4	8	no	—
56	C₂³×D₄₇	D₄	1	8	yes	complemented
57	C₂³×D₄₇	C₂³	1	4	yes	—
58	C₂³×D₄₇	C₂³	1	2	yes	—
59	C₂³×D₄₇	C₂³	1	1	yes	characteristic
60	C₂³×D₄₇	C₂³	1	2	yes	—
61	C₂³×D₄₇	C₂³	1	1	yes	characteristic
62	C₂³×D₄₇	C₂³	1	4	yes	complemented
63	C₂³×D₄₇	C₂³	1	2	yes	complemented
64	C₂×D₄×C₄₇	—	2	8	no	—
65	C₂×D₄×C₄₇	C₂³	1	4	yes	—
66	C₂×D₄×C₄₇	C₂³	1	4	yes	complemented
67	C₂×D₄×C₄₇	C₂³	1	4	yes	complemented
68	C₂²×C₄×C₄₇	C₂³	1	2	yes	complemented
69	C₂²×C₄×C₄₇	C₂³	1	2	yes	complemented
70	C₂×C₂²⋊D₄₇	—	2	8	no	—
71	C₂×C₂²⋊D₄₇	—	2	8	no	—
72	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	—
73	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	—
74	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	complemented
75	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	complemented
76	C₂×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
77	C₂²×Dic₄₇	C₂³	1	2	yes	complemented
78	C₂²×Dic₄₇	C₂³	1	2	yes	complemented
79	D₄×D₄₇	—	2	16	no	—
80	D₄×D₄₇	—	2	16	no	—
81	D₄×D₄₇	—	2	16	no	—
82	D₄×D₄₇	—	2	16	no	—
83	D₄×D₄₇	—	4	8	no	—
84	C₂×D₁₈₈	—	2	8	no	—
85	C₂×D₁₈₈	C₂³	1	4	yes	—
86	C₂×D₁₈₈	C₂³	1	4	yes	complemented
87	C₂×D₁₈₈	C₂³	1	4	yes	complemented
88	C₂×C₄×D₄₇	—	2	8	no	—
89	C₂×C₄×D₄₇	—	4	4	no	—
90	C₂×C₄×D₄₇	C₂³	1	4	yes	—
91	C₂×C₄×D₄₇	C₂³	1	4	yes	—
92	C₂×C₄×D₄₇	C₂³	1	4	yes	complemented
93	C₂×C₄×D₄₇	C₂³	1	4	yes	complemented
94	C₄⋊C₄×C₄₇	C₂³	1	4	yes	complemented
95	C₂²⋊C₄×C₄₇	C₂³	1	4	yes	complemented
96	C₂²⋊C₄×C₄₇	C₂³	1	8	yes	complemented
97	C₂²⋊Dic₄₇	C₂³	1	4	yes	complemented
98	C₂²⋊Dic₄₇	C₂³	1	8	yes	complemented
99	(C₂×D₄₇)⋊C₄	C₂³	1	8	yes	complemented
100	(C₂×D₄₇)⋊C₄	C₂³	1	8	yes	complemented
101	(C₂×D₄₇)⋊C₄	C₂³	1	8	yes	complemented
102	C₄⋊Dic₄₇	C₂³	1	4	yes	complemented
103	Dic₄₇⋊C₄	C₂³	1	8	yes	complemented
104	C₂³×C₄₇	—	2	4	no	—
105	C₂³×C₄₇	—	4	2	no	—
106	C₂³×C₄₇	—	4	4	no	—
107	C₂³×C₄₇	C₂×D₄	1	4	yes	complemented
108	C₂³×C₄₇	C₂⁴	1	4	yes	—
109	C₂³×C₄₇	C₂⁴	1	2	yes	—
110	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
111	C₂²×D₄₇	—	2	4	no	—
112	C₂²×D₄₇	—	2	8	no	—
113	C₂²×D₄₇	—	2	4	no	—
114	C₂²×D₄₇	—	2	8	no	—
115	C₂²×D₄₇	—	2	8	no	—
116	C₂²×D₄₇	—	2	16	no	—
117	C₂²×D₄₇	—	4	16	no	—
118	C₂²×D₄₇	—	4	4	no	—
119	C₂²×D₄₇	—	4	2	no	—
120	C₂²×D₄₇	—	4	8	no	—
121	C₂²×D₄₇	—	4	4	no	—
122	C₂²×D₄₇	—	4	32	no	—
123	C₂²×D₄₇	C₂×D₄	1	8	yes	—
124	C₂²×D₄₇	C₂×D₄	1	4	yes	—
125	C₂²×D₄₇	C₂×D₄	1	8	yes	complemented
126	C₂²×D₄₇	C₂×D₄	1	4	yes	complemented
127	C₂²×D₄₇	C₂⁴	1	4	yes	—
128	C₂²×D₄₇	C₂⁴	1	2	yes	—
129	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
130	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
131	D₄×C₄₇	—	2	8	no	—
132	D₄×C₄₇	—	2	8	no	—
133	D₄×C₄₇	—	4	4	no	—
134	C₂×C₄×C₄₇	—	2	4	no	—
135	C₂×C₄×C₄₇	—	4	2	no	—
136	C₂×C₄×C₄₇	C₂⁴	1	4	yes	—
137	C₂×C₄×C₄₇	C₂⁴	1	4	yes	—
138	C₂²⋊D₄₇	—	2	8	no	—
139	C₂²⋊D₄₇	—	2	8	no	—
140	C₂²⋊D₄₇	—	2	8	no	—
141	C₂²⋊D₄₇	—	2	8	no	—
142	C₂²⋊D₄₇	—	4	8	no	—
143	C₂×Dic₄₇	—	2	4	no	—
144	C₂×Dic₄₇	—	4	2	no	—
145	C₂×Dic₄₇	C₂⁴	1	4	yes	—
146	C₂×Dic₄₇	C₂⁴	1	4	yes	—
147	D₁₈₈	—	2	8	no	—
148	D₁₈₈	—	2	8	no	—
149	D₁₈₈	—	4	4	no	—
150	C₄×D₄₇	—	2	8	no	—
151	C₄×D₄₇	—	2	8	no	—
152	C₄×D₄₇	—	2	8	no	—
153	C₄×D₄₇	—	4	4	no	—
154	C₂²×C₄₇	—	2	2	no	—
155	C₂²×C₄₇	—	2	4	no	—
156	C₂²×C₄₇	—	2	4	no	—
157	C₂²×C₄₇	—	2	8	no	—
158	C₂²×C₄₇	—	4	4	no	—
159	C₂²×C₄₇	—	4	8	no	—
160	C₂²×C₄₇	C₂²×D₄	1	4	yes	—
161	C₂²×C₄₇	C₂²×D₄	1	2	yes	—
162	C₂²×C₄₇	C₂⁵	1	1	yes	characteristic
163	C₂×D₄₇	—	2	2	no	—
164	C₂×D₄₇	—	2	4	no	—
165	C₂×D₄₇	—	2	16	no	—
166	C₂×D₄₇	—	2	8	no	—
167	C₂×D₄₇	—	2	4	no	—
168	C₂×D₄₇	—	2	8	no	—
169	C₂×D₄₇	—	4	4	no	—
170	C₂×D₄₇	—	4	8	no	—
171	C₂×D₄₇	—	4	16	no	—
172	C₂×D₄₇	—	4	8	no	—
173	C₂×D₄₇	—	4	16	no	—
174	C₂×D₄₇	C₂²×D₄	1	4	yes	—
175	C₂×D₄₇	C₂²×D₄	1	2	yes	—
176	C₂×D₄₇	C₂²×D₄	1	2	yes	—
177	C₂×D₄₇	H(5,𝔽₂)	1	4	yes	—
178	C₄×C₄₇	—	2	4	no	—
179	C₄×C₄₇	—	2	4	no	—
180	Dic₄₇	—	2	4	no	—
181	Dic₄₇	—	2	4	no	—
182	C₂×#534	—	47	1	no	maximal, Sylow
183	C₂×C₄₇	—	2	4	no	—
184	C₂×C₄₇	—	2	2	no	—
185	C₂×C₄₇	—	4	4	no	—
186	C₂×C₄₇	C₂³×D₄	1	1	yes	characteristic
187	C₂×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
188	D₄₇	—	2	4	no	—
189	D₄₇	—	2	2	no	—
190	D₄₇	—	4	4	no	—
191	D₄₇	#534	1	4	yes	direct product factor
192	C₂³×D₄	—	47	2	no	—
193	#534	—	47	2	no	—
194	#534	—	47	4	no	—
195	#534	—	47	4	no	—
196	#534	—	47	4	no	—
197	#534	—	47	1	no	—
198	#534	D₄₇	1	1	yes	characteristic, direct product factor
199	C₂×#123	—	47	4	no	—
200	C₂×#121	—	47	4	no	—
201	C₂×#120	—	47	4	no	—
202	C₂²×C₂²⋊C₄	—	47	1	no	—
203	C₄₇	C₂×#534	1	1	yes	characteristic, complemented, Sylow
204	C₂⁵	—	47	1	no	—
205	C₂⁵	—	47	2	no	—
206	C₂²×D₄	—	47	2	no	—
207	C₂²×D₄	—	47	2	no	—
208	C₂²×D₄	—	47	4	no	—
209	C₂²×D₄	—	47	4	no	—
210	C₂²×D₄	—	47	4	no	—
211	C₂²×D₄	—	47	4	no	—
212	C₂²×D₄	—	47	4	no	—
213	C₂²×D₄	—	47	2	no	—
214	C₂²×D₄	—	94	16	no	—
215	C₂²×D₄	C₂×D₄₇	1	2	yes	complemented
216	C₂³×C₄	—	47	2	no	—
217	C₂³×C₄	—	47	2	no	—
218	#123	—	47	4	no	—
219	#123	—	47	4	no	—
220	#123	—	47	8	no	—
221	#123	—	47	8	no	—
222	#123	—	47	4	no	—
223	#123	C₂×D₄₇	1	4	yes	complemented
224	#121	—	47	4	no	—
225	#121	—	47	8	no	—
226	#121	—	47	4	no	—
227	#121	—	47	4	no	—
228	#121	—	47	8	no	—
229	#121	C₂×D₄₇	1	4	yes	complemented
230	#120	—	47	4	no	—
231	#120	—	47	4	no	—
232	#120	—	47	8	no	—
233	#120	—	47	8	no	—
234	#120	—	47	4	no	—
235	#120	C₂×D₄₇	1	4	yes	complemented
236	C₂×C₄⋊C₄	—	47	4	no	—
237	C₂×C₂²⋊C₄	—	47	1	no	—
238	C₂×C₂²⋊C₄	—	47	2	no	—
239	C₂×C₂²⋊C₄	—	47	4	no	—
240	C₂×C₂²⋊C₄	—	47	4	no	—
241	C₂×C₂²⋊C₄	—	47	8	no	—
242	C₂×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic, complemented
243	C₂⁴	—	47	2	no	—
244	C₂⁴	—	47	1	no	—
245	C₂⁴	—	47	8	no	—
246	C₂⁴	—	47	1	no	—
247	C₂⁴	—	47	2	no	—
248	C₂⁴	—	47	4	no	—
249	C₂⁴	—	47	4	no	—
250	C₂⁴	—	47	2	no	—
251	C₂⁴	—	94	8	no	—
252	C₂⁴	—	188	4	no	—
253	C₂⁴	—	188	8	no	—
254	C₂⁴	C₂²×D₄₇	1	1	yes	characteristic
255	C₂⁴	C₂²×D₄₇	1	2	yes	complemented
256	C₂×D₄	—	2	8	no	—
257	C₂×D₄	—	47	4	no	—
258	C₂×D₄	—	47	4	no	—
259	C₂×D₄	—	47	4	no	—
260	C₂×D₄	—	47	4	no	—
261	C₂×D₄	—	47	8	no	—
262	C₂×D₄	—	47	4	no	—
263	C₂×D₄	—	47	4	no	—
264	C₂×D₄	—	47	4	no	—
265	C₂×D₄	—	94	8	no	—
266	C₂×D₄	—	94	16	no	—
267	C₂×D₄	—	94	16	no	—
268	C₂×D₄	—	94	16	no	—
269	C₂×D₄	—	94	16	no	—
270	C₂×D₄	—	94	8	no	—
271	C₂×D₄	—	94	8	no	—
272	C₂×D₄	—	188	8	no	—
273	C₂×D₄	C₂²×D₄₇	1	4	yes	—
274	C₂×D₄	C₂²×D₄₇	1	4	yes	complemented
275	C₂×D₄	C₂²×D₄₇	1	4	yes	complemented
276	C₂²×C₄	—	47	2	no	—
277	C₂²×C₄	—	47	2	no	—
278	C₂²×C₄	—	47	4	no	—
279	C₂²×C₄	—	47	4	no	—
280	C₂²×C₄	—	47	4	no	—
281	C₂²×C₄	—	47	4	no	—
282	C₂²×C₄	—	94	8	no	—
283	C₂²×C₄	—	188	4	no	—
284	C₂²×C₄	C₂²×D₄₇	1	2	yes	complemented
285	C₂²×C₄	C₂²×D₄₇	1	2	yes	complemented
286	C₄⋊C₄	—	47	8	no	—
287	C₄⋊C₄	—	47	4	no	—
288	C₄⋊C₄	C₂²×D₄₇	1	4	yes	complemented
289	C₂²⋊C₄	—	47	4	no	—
290	C₂²⋊C₄	—	47	8	no	—
291	C₂²⋊C₄	—	47	8	no	—
292	C₂²⋊C₄	—	47	8	no	—
293	C₂²⋊C₄	—	47	8	no	—
294	C₂²⋊C₄	C₂²×D₄₇	1	4	yes	complemented
295	C₂²⋊C₄	C₂²×D₄₇	1	8	yes	complemented
296	C₂³	—	2	4	no	—
297	C₂³	—	4	2	no	—
298	C₂³	—	4	4	no	—
299	C₂³	—	47	1	no	—
300	C₂³	—	47	8	no	—
301	C₂³	—	47	4	no	—
302	C₂³	—	47	2	no	—
303	C₂³	—	47	1	no	—
304	C₂³	—	47	4	no	—
305	C₂³	—	47	8	no	—
306	C₂³	—	47	4	no	—
307	C₂³	—	94	4	no	—
308	C₂³	—	94	8	no	—
309	C₂³	—	94	8	no	—
310	C₂³	—	94	8	no	—
311	C₂³	—	94	16	no	—
312	C₂³	—	94	4	no	—
313	C₂³	—	188	2	no	—
314	C₂³	—	188	4	no	—
315	C₂³	—	188	4	no	—
316	C₂³	—	188	8	no	—
317	C₂³	—	188	16	no	—
318	C₂³	—	188	32	no	—
319	C₂³	D₄×D₄₇	1	4	yes	complemented
320	C₂³	C₂³×D₄₇	1	4	yes	—
321	C₂³	C₂³×D₄₇	1	2	yes	—
322	C₂³	C₂³×D₄₇	1	1	yes	characteristic
323	D₄	—	2	8	no	—
324	D₄	—	2	8	no	—
325	D₄	—	4	4	no	—
326	D₄	—	94	8	no	—
327	D₄	—	94	8	no	—
328	D₄	—	94	8	no	—
329	D₄	—	94	8	no	—
330	D₄	—	94	8	no	—
331	D₄	—	94	8	no	—
332	D₄	—	188	4	no	—
333	D₄	—	188	8	no	—
334	C₂×C₄	—	2	4	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	47	4	no	—
337	C₂×C₄	—	47	4	no	—
338	C₂×C₄	—	94	8	no	—
339	C₂×C₄	—	94	8	no	—
340	C₂×C₄	—	94	8	no	—
341	C₂×C₄	—	94	4	no	—
342	C₂×C₄	—	188	4	no	—
343	C₂×C₄	—	188	2	no	—
344	C₂×C₄	C₂³×D₄₇	1	4	yes	—
345	C₂×C₄	C₂³×D₄₇	1	4	yes	—
346	C₂²	—	2	2	no	—
347	C₂²	—	2	4	no	—
348	C₂²	—	2	4	no	—
349	C₂²	—	2	8	no	—
350	C₂²	—	4	4	no	—
351	C₂²	—	4	8	no	—
352	C₂²	—	47	2	no	—
353	C₂²	—	47	4	no	—
354	C₂²	—	47	4	no	—
355	C₂²	—	47	2	no	—
356	C₂²	—	94	16	no	—
357	C₂²	—	94	8	no	—
358	C₂²	—	94	2	no	—
359	C₂²	—	94	4	no	—
360	C₂²	—	94	4	no	—
361	C₂²	—	94	8	no	—
362	C₂²	—	188	8	no	—
363	C₂²	—	188	4	no	—
364	C₂²	—	188	8	no	—
365	C₂²	—	188	16	no	—
366	C₂²	—	188	16	no	—
367	C₂²	C₂×D₄×D₄₇	1	4	yes	—
368	C₂²	C₂×D₄×D₄₇	1	2	yes	—
369	C₂²	C₂⁴×D₄₇	1	1	yes	characteristic
370	C₄	—	2	4	no	—
371	C₄	—	2	4	no	—
372	C₄	—	94	4	no	—
373	C₄	—	94	4	no	—
374	C₂	—	2	4	no	—
375	C₂	—	2	2	no	—
376	C₂	—	4	4	no	—
377	C₂	—	47	4	no	—
378	C₂	—	94	4	no	—
379	C₂	—	94	2	no	—
380	C₂	—	188	4	no	—
381	C₂	C₂²×D₄×D₄₇	1	1	yes	characteristic
382	C₂	H(5,𝔽₂)×D₄₇	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁵
Fitting	C₄₇×#534	C₂
hypercenter	#534	D₄₇
hypocenter	C₄₇	C₂×#534
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #534

Complements

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

N	H ≅ G/N	type
1. C₂²×D₄×D₄₇	C₂	semidirect
2. #15689685	C₂	semidirect
3. #15689684	C₂	semidirect
4. #15689683	C₂	semidirect
5. #15689682	C₂	semidirect
6. #15689681	C₂	semidirect
7. #123×D₄₇	C₂	semidirect
8. #121×D₄₇	C₂	semidirect
9. #120×D₄₇	C₂	semidirect
10. C₂×C₂²⋊C₄×D₄₇	C₂	semidirect
11. C₄₇×#534	C₂	semidirect
13. C₂⁴×D₄₇	C₂²	semidirect
14. C₂²×D₁₈₈	C₂²	semidirect
15. C₂²×C₂²⋊D₄₇	C₂²	semidirect
16. C₂²×C₂²⋊D₄₇	C₂²	semidirect
19. C₂×D₄×D₄₇	C₂²	semidirect
20. C₂×D₄×D₄₇	C₂²	semidirect
21. C₂×D₄×D₄₇	C₂²	semidirect
22. C₂×D₄×D₄₇	C₂²	semidirect
23. C₂²×C₄×D₄₇	C₂²	semidirect
24. C₂²×C₄×D₄₇	C₂²	semidirect
25. #13094009	C₂²	semidirect
26. #13094008	C₂²	semidirect
27. #13094007	C₂²	semidirect
28. #13094006	C₂²	semidirect
29. #13094005	C₂²	semidirect
30. #13093999	C₂²	semidirect
31. #13093998	C₂²	semidirect
32. #13093997	C₂²	semidirect
33. #13093996	C₂²	semidirect
34. #13093995	C₂²	semidirect
35. #13093994	C₂²	semidirect
36. #13093994	C₂²	semidirect
37. #13093993	C₂²	semidirect
38. #13093992	C₂²	semidirect
39. #13093992	C₂²	semidirect
40. C₄⋊C₄×D₄₇	C₂²	semidirect
41. C₂×C₂²⋊Dic₄₇	C₂²	semidirect
42. C₂×(C₂×D₄₇)⋊C₄	C₂²	semidirect
43. C₂²⋊C₄×D₄₇	C₂²	semidirect
44. C₂²⋊C₄×D₄₇	C₂²	semidirect
45. C₂²⋊C₄×D₄₇	C₂²	semidirect
46. C₂²×D₄×C₄₇	C₂²	semidirect
47. #123×C₄₇	C₂²	semidirect
48. #121×C₄₇	C₂²	semidirect
49. #120×C₄₇	C₂²	semidirect
50. C₂×C₂²⋊C₄×C₄₇	C₂²	semidirect
52. C₂⁴×C₄₇	C₂³	semidirect
56. C₂³×D₄₇	D₄	semidirect
62. C₂³×D₄₇	C₂³	semidirect
63. C₂³×D₄₇	C₂³	semidirect
66. C₂×D₄×C₄₇	C₂³	semidirect
67. C₂×D₄×C₄₇	C₂³	semidirect
68. C₂²×C₄×C₄₇	C₂³	semidirect
69. C₂²×C₄×C₄₇	C₂³	semidirect
74. C₂×C₂²⋊D₄₇	C₂³	semidirect
75. C₂×C₂²⋊D₄₇	C₂³	semidirect
76. C₂×C₂²⋊D₄₇	C₂³	semidirect
77. C₂²×Dic₄₇	C₂³	semidirect
78. C₂²×Dic₄₇	C₂³	semidirect
86. C₂×D₁₈₈	C₂³	semidirect
87. C₂×D₁₈₈	C₂³	semidirect
92. C₂×C₄×D₄₇	C₂³	semidirect
93. C₂×C₄×D₄₇	C₂³	semidirect
94. C₄⋊C₄×C₄₇	C₂³	semidirect
95. C₂²⋊C₄×C₄₇	C₂³	semidirect
96. C₂²⋊C₄×C₄₇	C₂³	semidirect
97. C₂²⋊Dic₄₇	C₂³	semidirect
98. C₂²⋊Dic₄₇	C₂³	semidirect
99. (C₂×D₄₇)⋊C₄	C₂³	semidirect
100. (C₂×D₄₇)⋊C₄	C₂³	semidirect
101. (C₂×D₄₇)⋊C₄	C₂³	semidirect
102. C₄⋊Dic₄₇	C₂³	semidirect
103. Dic₄₇⋊C₄	C₂³	semidirect
107. C₂³×C₄₇	C₂×D₄	semidirect
125. C₂²×D₄₇	C₂×D₄	semidirect
126. C₂²×D₄₇	C₂×D₄	semidirect
191. D₄₇	#534	direct (N × H)
198. #534	D₄₇	direct (N × H)
203. C₄₇	C₂×#534	semidirect
215. C₂²×D₄	C₂×D₄₇	semidirect
223. #123	C₂×D₄₇	semidirect
229. #121	C₂×D₄₇	semidirect
235. #120	C₂×D₄₇	semidirect
242. C₂×C₂²⋊C₄	C₂×D₄₇	semidirect
255. C₂⁴	C₂²×D₄₇	semidirect
274. C₂×D₄	C₂²×D₄₇	semidirect
275. C₂×D₄	C₂²×D₄₇	semidirect
284. C₂²×C₄	C₂²×D₄₇	semidirect
285. C₂²×C₄	C₂²×D₄₇	semidirect
288. C₄⋊C₄	C₂²×D₄₇	semidirect
294. C₂²⋊C₄	C₂²×D₄₇	semidirect
295. C₂²⋊C₄	C₂²×D₄₇	semidirect
319. C₂³	D₄×D₄₇	semidirect

Subgroups — #534×D47 #20256686

Conjugacy classes of subgroups

Complements

Subgroups — #534×D₄₇ #20256686