Subgroups — C₂×#15689683 #20256689

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	C₂³×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×D₄×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
3	#15689683	C₂	1	16	yes	maximal, direct product factor
4	C₂×#13094008	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#13094006	C₂	1	2	yes	maximal, complemented
6	C₂×#13094005	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#13093997	C₂	1	2	yes	maximal, complemented
8	C₂×#13093995	C₂	1	2	yes	maximal, complemented
9	C₂×#13093993	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13093992	C₂	1	2	yes	maximal, complemented
11	C₂×C₂²⋊C₄×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#120×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂⁴×D₄₇	C₂²	1	1	yes	characteristic
14	C₂⁴×D₄₇	C₂²	1	1	yes	characteristic, complemented
15	C₂²×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
16	C₂²×C₂²⋊D₄₇	—	2	8	no	—
17	C₂²×C₂²⋊D₄₇	C₂²	1	2	yes	—
18	C₂²×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
19	C₂²×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
20	C₂²×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
21	C₂²×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
22	C₂²×C₂²⋊D₄₇	C₂²	1	8	yes	complemented
23	C₂×D₄×D₄₇	—	2	8	no	—
24	C₂×D₄×D₄₇	C₂²	1	8	yes	complemented
25	C₂³×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₄×D₄₇	C₂²	1	2	yes	complemented
28	#13094008	C₂²	1	8	yes	complemented
29	#13094006	C₂²	1	16	yes	complemented
30	#13094005	C₂²	1	8	yes	complemented
31	#13093997	C₂²	1	16	yes	complemented
32	#13093995	C₂²	1	16	yes	complemented
33	#13093993	C₂²	1	8	yes	complemented
34	#13093992	C₂²	1	16	yes	complemented
35	C₂×C₄⋊Dic₄₇	C₂²	1	2	yes	complemented
36	C₂×Dic₄₇⋊C₄	C₂²	1	2	yes	complemented
37	C₂×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂²⋊Dic₄₇	C₂²	1	2	yes	complemented
39	C₂×C₂²⋊Dic₄₇	C₂²	1	2	yes	complemented
40	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	complemented
41	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	complemented
42	C₂²⋊C₄×D₄₇	C₂²	1	8	yes	complemented
43	C₂⁵×C₄₇	C₂²	1	1	yes	characteristic, complemented
44	C₂²×D₄×C₄₇	C₂²	1	1	yes	characteristic
45	C₂²×D₄×C₄₇	C₂²	1	2	yes	complemented
46	#120×C₄₇	C₂²	1	8	yes	complemented
47	C₂×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₂²⋊C₄×C₄₇	C₂²	1	2	yes	complemented
49	C₂⁴×C₄₇	—	2	4	no	—
50	C₂⁴×C₄₇	—	4	4	no	—
51	C₂⁴×C₄₇	C₂³	1	2	yes	—
52	C₂⁴×C₄₇	C₂³	1	1	yes	characteristic
53	C₂⁴×C₄₇	C₂³	1	1	yes	characteristic
54	C₂⁴×C₄₇	C₂³	1	4	yes	complemented
55	C₂³×D₄₇	—	2	4	no	—
56	C₂³×D₄₇	—	4	4	no	—
57	C₂³×D₄₇	—	4	4	no	—
58	C₂³×D₄₇	D₄	1	8	yes	complemented
59	C₂³×D₄₇	C₂³	1	1	yes	characteristic
60	C₂³×D₄₇	C₂³	1	1	yes	characteristic
61	C₂³×D₄₇	C₂³	1	1	yes	characteristic
62	C₂³×D₄₇	C₂³	1	4	yes	—
63	C₂³×D₄₇	C₂³	1	4	yes	complemented
64	C₂×D₄×C₄₇	—	2	4	no	—
65	C₂×D₄×C₄₇	—	4	4	no	—
66	C₂×D₄×C₄₇	C₂³	1	4	yes	—
67	C₂×D₄×C₄₇	C₂³	1	8	yes	complemented
68	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
69	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
70	C₂×C₂²⋊D₄₇	—	2	4	no	—
71	C₂×C₂²⋊D₄₇	—	2	4	no	—
72	C₂×C₂²⋊D₄₇	—	2	8	no	—
73	C₂×C₂²⋊D₄₇	—	2	8	no	—
74	C₂×C₂²⋊D₄₇	—	2	32	no	—
75	C₂×C₂²⋊D₄₇	—	4	4	no	—
76	C₂×C₂²⋊D₄₇	C₂³	1	8	yes	—
77	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	—
78	C₂×C₂²⋊D₄₇	C₂³	1	4	yes	complemented
79	C₂×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
80	C₂×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
81	C₂²×Dic₄₇	—	2	4	no	—
82	C₂²×Dic₄₇	C₂³	1	2	yes	—
83	C₂²×Dic₄₇	C₂³	1	2	yes	—
84	C₂²×Dic₄₇	C₂³	1	1	yes	characteristic
85	C₂²×Dic₄₇	C₂³	1	4	yes	complemented
86	D₄×D₄₇	—	2	32	no	—
87	C₂×D₁₈₈	—	2	4	no	—
88	C₂×D₁₈₈	C₂³	1	4	yes	complemented
89	C₂×C₄×D₄₇	—	2	4	no	—
90	C₂×C₄×D₄₇	—	4	4	no	—
91	C₂×C₄×D₄₇	C₂³	1	4	yes	complemented
92	C₂×C₄×D₄₇	C₂³	1	8	yes	complemented
93	C₂²⋊C₄×C₄₇	C₂³	1	4	yes	complemented
94	C₂²⋊C₄×C₄₇	C₂³	1	8	yes	complemented
95	C₂²⋊Dic₄₇	C₂³	1	4	yes	complemented
96	C₂²⋊Dic₄₇	C₂³	1	8	yes	complemented
97	C₂²⋊Dic₄₇	C₂³	1	8	yes	complemented
98	(C₂×D₄₇)⋊C₄	C₂³	1	8	yes	complemented
99	(C₂×D₄₇)⋊C₄	C₂³	1	8	yes	complemented
100	C₄⋊Dic₄₇	C₂³	1	8	yes	complemented
101	Dic₄₇⋊C₄	C₂³	1	8	yes	complemented
102	C₂³×C₄₇	—	2	4	no	—
103	C₂³×C₄₇	—	2	4	no	—
104	C₂³×C₄₇	—	2	8	no	—
105	C₂³×C₄₇	—	2	2	no	—
106	C₂³×C₄₇	—	2	4	no	—
107	C₂³×C₄₇	—	2	4	no	—
108	C₂³×C₄₇	—	2	4	no	—
109	C₂³×C₄₇	—	4	8	no	—
110	C₂³×C₄₇	—	4	16	no	—
111	C₂³×C₄₇	C₂×D₄	1	4	yes	—
112	C₂³×C₄₇	C₂⁴	1	2	yes	—
113	C₂³×C₄₇	C₂⁴	1	4	yes	—
114	C₂³×C₄₇	C₂⁴	1	2	yes	—
115	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
116	C₂²×D₄₇	—	2	4	no	—
117	C₂²×D₄₇	—	2	4	no	—
118	C₂²×D₄₇	—	2	2	no	—
119	C₂²×D₄₇	—	2	4	no	—
120	C₂²×D₄₇	—	2	8	no	—
121	C₂²×D₄₇	—	4	16	no	—
122	C₂²×D₄₇	—	4	8	no	—
123	C₂²×D₄₇	—	4	8	no	—
124	C₂²×D₄₇	—	4	16	no	—
125	C₂²×D₄₇	C₂×D₄	1	4	yes	—
126	C₂²×D₄₇	C₂×D₄	1	4	yes	—
127	C₂²×D₄₇	C₂×D₄	1	16	yes	complemented
128	C₂²×D₄₇	C₂⁴	1	2	yes	—
129	C₂²×D₄₇	C₂⁴	1	2	yes	—
130	C₂²×D₄₇	C₂⁴	1	2	yes	—
131	D₄×C₄₇	—	2	8	no	—
132	D₄×C₄₇	—	4	8	no	—
133	C₂×C₄×C₄₇	—	2	2	no	—
134	C₂×C₄×C₄₇	—	2	4	no	—
135	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
136	C₂×C₄×C₄₇	C₂⁴	1	4	yes	—
137	C₂²⋊D₄₇	—	2	8	no	—
138	C₂²⋊D₄₇	—	2	8	no	—
139	C₂²⋊D₄₇	—	2	16	no	—
140	C₂²⋊D₄₇	—	2	16	no	—
141	C₂²⋊D₄₇	—	4	8	no	—
142	C₂×Dic₄₇	—	2	2	no	—
143	C₂×Dic₄₇	—	2	4	no	—
144	C₂×Dic₄₇	—	2	8	no	—
145	C₂×Dic₄₇	—	2	4	no	—
146	C₂×Dic₄₇	C₂⁴	1	4	yes	—
147	C₂×Dic₄₇	C₂⁴	1	4	yes	—
148	C₂×Dic₄₇	C₂⁴	1	2	yes	—
149	D₁₈₈	—	2	8	no	—
150	C₄×D₄₇	—	2	8	no	—
151	C₄×D₄₇	—	4	8	no	—
152	C₂²×C₄₇	—	2	8	no	—
153	C₂²×C₄₇	—	2	4	no	—
154	C₂²×C₄₇	—	2	4	no	—
155	C₂²×C₄₇	—	2	2	no	—
156	C₂²×C₄₇	—	2	4	no	—
157	C₂²×C₄₇	—	2	4	no	—
158	C₂²×C₄₇	—	2	4	no	—
159	C₂²×C₄₇	—	4	16	no	—
160	C₂²×C₄₇	—	4	4	no	—
161	C₂²×C₄₇	—	4	8	no	—
162	C₂²×C₄₇	C₂²×D₄	1	4	yes	—
163	C₂²×C₄₇	C₂²×D₄	1	2	yes	—
164	C₂²×C₄₇	H(5,𝔽₂)	1	4	yes	—
165	C₂²×C₄₇	C₂⁵	1	1	yes	characteristic
166	C₂×D₄₇	—	2	8	no	—
167	C₂×D₄₇	—	2	8	no	—
168	C₂×D₄₇	—	2	4	no	—
169	C₂×D₄₇	—	2	4	no	—
170	C₂×D₄₇	—	2	2	no	—
171	C₂×D₄₇	—	2	4	no	—
172	C₂×D₄₇	—	4	16	no	—
173	C₂×D₄₇	—	4	16	no	—
174	C₂×D₄₇	—	4	4	no	—
175	C₂×D₄₇	C₂²×D₄	1	4	yes	—
176	C₂×D₄₇	C₂²×D₄	1	4	yes	—
177	C₄×C₄₇	—	2	2	no	—
178	C₄×C₄₇	—	2	4	no	—
179	Dic₄₇	—	2	2	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	—	4	2	no	—
185	C₂×C₄₇	—	4	4	no	—
186	C₂×C₄₇	#534	1	4	yes	complemented
187	C₂×C₄₇	C₂³×D₄	1	1	yes	characteristic
188	C₂×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
189	D₄₇	—	2	4	no	—
190	D₄₇	—	2	4	no	—
191	D₄₇	—	4	2	no	—
192	C₂³×D₄	—	47	1	no	—
193	C₂³×D₄	—	47	1	no	—
194	#534	—	47	16	no	—
195	C₂×#123	—	47	1	no	—
196	C₂×#123	—	47	2	no	—
197	C₂×#123	—	47	1	no	—
198	C₂×#121	—	47	2	no	—
199	C₂×#121	—	47	2	no	—
200	C₂×#120	—	47	1	no	—
201	C₂×#120	—	47	2	no	—
202	C₂×#120	D₄₇	1	1	yes	characteristic, complemented
203	C₂²×C₂²⋊C₄	—	47	1	no	—
204	C₄₇	C₂×#534	1	1	yes	characteristic, complemented, Sylow
205	C₂⁵	—	47	1	no	—
206	C₂⁵	—	47	1	no	—
207	C₂⁵	C₂×D₄₇	1	1	yes	characteristic, complemented
208	C₂²×D₄	—	47	2	no	—
209	C₂²×D₄	—	47	1	no	—
210	C₂²×D₄	—	47	1	no	—
211	C₂²×D₄	—	47	2	no	—
212	C₂²×D₄	—	47	8	no	—
213	C₂²×D₄	—	47	2	no	—
214	C₂²×D₄	—	47	8	no	—
215	C₂²×D₄	—	47	1	no	—
216	C₂²×D₄	—	94	8	no	—
217	C₂²×D₄	—	94	8	no	—
218	C₂²×D₄	C₂×D₄₇	1	1	yes	characteristic
219	C₂²×D₄	C₂×D₄₇	1	2	yes	complemented
220	C₂³×C₄	—	47	1	no	—
221	C₂³×C₄	—	47	1	no	—
222	C₂³×C₄	—	47	2	no	—
223	#123	—	47	8	no	—
224	#123	—	47	16	no	—
225	#123	—	47	8	no	—
226	#121	—	47	16	no	—
227	#121	—	47	16	no	—
228	#120	—	47	8	no	—
229	#120	—	47	16	no	—
230	#120	C₂×D₄₇	1	8	yes	complemented
231	C₂×C₄⋊C₄	—	47	2	no	—
232	C₂×C₄⋊C₄	—	47	2	no	—
233	C₂×C₂²⋊C₄	—	47	1	no	—
234	C₂×C₂²⋊C₄	—	47	2	no	—
235	C₂×C₂²⋊C₄	—	47	2	no	—
236	C₂×C₂²⋊C₄	—	47	2	no	—
237	C₂×C₂²⋊C₄	—	47	2	no	—
238	C₂×C₂²⋊C₄	—	47	8	no	—
239	C₂×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic, complemented
240	C₂×C₂²⋊C₄	C₂×D₄₇	1	2	yes	complemented
241	C₂⁴	—	2	4	no	—
242	C₂⁴	—	4	4	no	—
243	C₂⁴	—	47	1	no	—
244	C₂⁴	—	47	1	no	—
245	C₂⁴	—	47	8	no	—
246	C₂⁴	—	47	4	no	—
247	C₂⁴	—	47	1	no	—
248	C₂⁴	—	47	4	no	—
249	C₂⁴	—	94	4	no	—
250	C₂⁴	—	188	4	no	—
251	C₂⁴	—	188	4	no	—
252	C₂⁴	C₂²×D₄₇	1	1	yes	characteristic
253	C₂⁴	C₂²×D₄₇	1	2	yes	—
254	C₂⁴	C₂²×D₄₇	1	1	yes	characteristic
255	C₂⁴	C₂²×D₄₇	1	4	yes	complemented
256	C₂×D₄	—	2	4	no	—
257	C₂×D₄	—	4	4	no	—
258	C₂×D₄	—	47	8	no	—
259	C₂×D₄	—	47	4	no	—
260	C₂×D₄	—	47	4	no	—
261	C₂×D₄	—	47	8	no	—
262	C₂×D₄	—	47	8	no	—
263	C₂×D₄	—	47	4	no	—
264	C₂×D₄	—	94	4	no	—
265	C₂×D₄	—	94	32	no	—
266	C₂×D₄	—	94	4	no	—
267	C₂×D₄	—	94	8	no	—
268	C₂×D₄	—	94	8	no	—
269	C₂×D₄	—	94	32	no	—
270	C₂×D₄	—	94	4	no	—
271	C₂×D₄	—	188	4	no	—
272	C₂×D₄	C₂²×D₄₇	1	4	yes	—
273	C₂×D₄	C₂²×D₄₇	1	8	yes	complemented
274	C₂²×C₄	—	47	4	no	—
275	C₂²×C₄	—	47	2	no	—
276	C₂²×C₄	—	47	2	no	—
277	C₂²×C₄	—	47	1	no	—
278	C₂²×C₄	—	47	4	no	—
279	C₂²×C₄	—	47	8	no	—
280	C₂²×C₄	—	94	4	no	—
281	C₂²×C₄	—	94	4	no	—
282	C₂²×C₄	—	188	4	no	—
283	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
284	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
285	C₄⋊C₄	—	47	8	no	—
286	C₄⋊C₄	—	47	8	no	—
287	C₂²⋊C₄	—	47	4	no	—
288	C₂²⋊C₄	—	47	8	no	—
289	C₂²⋊C₄	—	47	8	no	—
290	C₂²⋊C₄	—	47	8	no	—
291	C₂²⋊C₄	—	47	8	no	—
292	C₂²⋊C₄	C₂²×D₄₇	1	4	yes	complemented
293	C₂²⋊C₄	C₂²×D₄₇	1	8	yes	complemented
294	C₂³	—	2	4	no	—
295	C₂³	—	2	2	no	—
296	C₂³	—	2	4	no	—
297	C₂³	—	2	8	no	—
298	C₂³	—	2	4	no	—
299	C₂³	—	2	4	no	—
300	C₂³	—	2	4	no	—
301	C₂³	—	4	8	no	—
302	C₂³	—	4	16	no	—
303	C₂³	—	47	4	no	—
304	C₂³	—	47	4	no	—
305	C₂³	—	47	2	no	—
306	C₂³	—	47	2	no	—
307	C₂³	—	47	16	no	—
308	C₂³	—	47	2	no	—
309	C₂³	—	94	8	no	—
310	C₂³	—	94	4	no	—
311	C₂³	—	94	4	no	—
312	C₂³	—	94	2	no	—
313	C₂³	—	94	4	no	—
314	C₂³	—	188	16	no	—
315	C₂³	—	188	8	no	—
316	C₂³	—	188	8	no	—
317	C₂³	—	188	16	no	—
318	C₂³	D₄×D₄₇	1	4	yes	—
319	C₂³	C₂³×D₄₇	1	2	yes	—
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	—	4	8	no	—
325	D₄	—	94	8	no	—
326	D₄	—	94	8	no	—
327	D₄	—	94	16	no	—
328	D₄	—	94	16	no	—
329	D₄	—	94	8	no	—
330	D₄	—	188	8	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	2	4	no	—
333	C₂×C₄	—	47	4	no	—
334	C₂×C₄	—	47	4	no	—
335	C₂×C₄	—	47	2	no	—
336	C₂×C₄	—	94	8	no	—
337	C₂×C₄	—	94	8	no	—
338	C₂×C₄	—	94	2	no	—
339	C₂×C₄	—	94	4	no	—
340	C₂×C₄	—	94	4	no	—
341	C₂×C₄	—	188	8	no	—
342	C₂×C₄	C₂³×D₄₇	1	4	yes	—
343	C₂×C₄	C₂³×D₄₇	1	2	yes	—
344	C₂²	—	2	8	no	—
345	C₂²	—	2	4	no	—
346	C₂²	—	2	2	no	—
347	C₂²	—	2	4	no	—
348	C₂²	—	2	4	no	—
349	C₂²	—	2	4	no	—
350	C₂²	—	2	4	no	—
351	C₂²	—	4	16	no	—
352	C₂²	—	4	8	no	—
353	C₂²	—	4	4	no	—
354	C₂²	—	47	4	no	—
355	C₂²	—	47	4	no	—
356	C₂²	—	94	8	no	—
357	C₂²	—	94	8	no	—
358	C₂²	—	94	4	no	—
359	C₂²	—	94	4	no	—
360	C₂²	—	94	2	no	—
361	C₂²	—	94	4	no	—
362	C₂²	—	188	16	no	—
363	C₂²	—	188	16	no	—
364	C₂²	—	188	4	no	—
365	C₂²	C₂×D₄×D₄₇	1	4	yes	—
366	C₂²	C₂×D₄×D₄₇	1	2	yes	—
367	C₂²	#13094069	1	4	yes	—
368	C₂²	C₂⁴×D₄₇	1	1	yes	characteristic
369	C₄	—	2	2	no	—
370	C₄	—	2	4	no	—
371	C₄	—	94	2	no	—
372	C₄	—	94	4	no	—
373	C₄	—	94	4	no	—
374	C₂	—	2	4	no	—
375	C₂	—	4	4	no	—
376	C₂	—	4	2	no	—
377	C₂	—	94	4	no	—
378	C₂	—	94	4	no	—
379	C₂	—	188	2	no	—
380	C₂	#15689683	1	4	yes	direct product factor
381	C₂	C₂²×D₄×D₄₇	1	1	yes	characteristic
382	C₂	C₂×#13094069	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂³×D₄₇
commutator	C₂²×C₄₇	C₂⁵
Frattini	C₂²	C₂⁴×D₄₇
Fitting	C₂×#120×C₄₇	C₂
socle	C₂³×C₄₇	C₂⁴
hypercenter	C₂×#120	D₄₇
hypocenter	C₄₇	C₂×#534
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#120

Complements

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

N	H ≅ G/N	type
1. C₂³×C₂²⋊D₄₇	C₂	semidirect
2. C₂²×D₄×D₄₇	C₂	semidirect
3. #15689683	C₂	direct (N × H)
4. C₂×#13094008	C₂	semidirect
5. C₂×#13094006	C₂	semidirect
6. C₂×#13094005	C₂	semidirect
7. C₂×#13093997	C₂	semidirect
8. C₂×#13093995	C₂	semidirect
9. C₂×#13093993	C₂	semidirect
10. C₂×#13093992	C₂	semidirect
11. C₂×C₂²⋊C₄×D₄₇	C₂	semidirect
12. C₂×#120×C₄₇	C₂	semidirect
14. C₂⁴×D₄₇	C₂²	semidirect
15. C₂²×D₁₈₈	C₂²	semidirect
19. C₂²×C₂²⋊D₄₇	C₂²	semidirect
20. C₂²×C₂²⋊D₄₇	C₂²	semidirect
21. C₂²×C₂²⋊D₄₇	C₂²	semidirect
22. C₂²×C₂²⋊D₄₇	C₂²	semidirect
24. C₂×D₄×D₄₇	C₂²	semidirect
25. C₂³×Dic₄₇	C₂²	semidirect
26. C₂²×C₄×D₄₇	C₂²	semidirect
27. C₂²×C₄×D₄₇	C₂²	semidirect
28. #13094008	C₂²	semidirect
29. #13094006	C₂²	semidirect
30. #13094005	C₂²	semidirect
31. #13093997	C₂²	semidirect
32. #13093995	C₂²	semidirect
33. #13093993	C₂²	semidirect
34. #13093992	C₂²	semidirect
35. C₂×C₄⋊Dic₄₇	C₂²	semidirect
36. C₂×Dic₄₇⋊C₄	C₂²	semidirect
37. C₂×C₂²⋊Dic₄₇	C₂²	semidirect
38. C₂×C₂²⋊Dic₄₇	C₂²	semidirect
39. C₂×C₂²⋊Dic₄₇	C₂²	semidirect
40. C₂×(C₂×D₄₇)⋊C₄	C₂²	semidirect
41. C₂×(C₂×D₄₇)⋊C₄	C₂²	semidirect
42. C₂²⋊C₄×D₄₇	C₂²	semidirect
43. C₂⁵×C₄₇	C₂²	semidirect
45. C₂²×D₄×C₄₇	C₂²	semidirect
46. #120×C₄₇	C₂²	semidirect
47. C₂×C₂²⋊C₄×C₄₇	C₂²	semidirect
48. C₂×C₂²⋊C₄×C₄₇	C₂²	semidirect
54. C₂⁴×C₄₇	C₂³	semidirect
58. C₂³×D₄₇	D₄	semidirect
63. C₂³×D₄₇	C₂³	semidirect
67. C₂×D₄×C₄₇	C₂³	semidirect
78. C₂×C₂²⋊D₄₇	C₂³	semidirect
79. C₂×C₂²⋊D₄₇	C₂³	semidirect
80. C₂×C₂²⋊D₄₇	C₂³	semidirect
85. C₂²×Dic₄₇	C₂³	semidirect
88. C₂×D₁₈₈	C₂³	semidirect
91. C₂×C₄×D₄₇	C₂³	semidirect
92. C₂×C₄×D₄₇	C₂³	semidirect
93. C₂²⋊C₄×C₄₇	C₂³	semidirect
94. C₂²⋊C₄×C₄₇	C₂³	semidirect
95. C₂²⋊Dic₄₇	C₂³	semidirect
96. C₂²⋊Dic₄₇	C₂³	semidirect
97. C₂²⋊Dic₄₇	C₂³	semidirect
98. (C₂×D₄₇)⋊C₄	C₂³	semidirect
99. (C₂×D₄₇)⋊C₄	C₂³	semidirect
100. C₄⋊Dic₄₇	C₂³	semidirect
101. Dic₄₇⋊C₄	C₂³	semidirect
127. C₂²×D₄₇	C₂×D₄	semidirect
186. C₂×C₄₇	#534	semidirect
202. C₂×#120	D₄₇	semidirect
204. C₄₇	C₂×#534	semidirect
207. C₂⁵	C₂×D₄₇	semidirect
219. C₂²×D₄	C₂×D₄₇	semidirect
230. #120	C₂×D₄₇	semidirect
239. C₂×C₂²⋊C₄	C₂×D₄₇	semidirect
240. C₂×C₂²⋊C₄	C₂×D₄₇	semidirect
255. C₂⁴	C₂²×D₄₇	semidirect
273. C₂×D₄	C₂²×D₄₇	semidirect
292. C₂²⋊C₄	C₂²×D₄₇	semidirect
293. C₂²⋊C₄	C₂²×D₄₇	semidirect
380. C₂	#15689683	direct (N × H)

Subgroups — C2×#15689683 #20256689

Conjugacy classes of subgroups

Complements

Subgroups — C₂×#15689683 #20256689