Subgroups — C₂×C₈×#10625337 #26185647

Order 12032.

734 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₈×Dic₉₄	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×#10625337	C₂	1	1	yes	maximal, characteristic
3	C₈×#10625337	C₂	1	8	yes	maximal, direct product factor
4	C₂×#15688875	C₂	1	1	yes	maximal, characteristic
5	C₂×Q₈⋊(C₄₇⋊C₈)	C₂	1	1	yes	maximal, characteristic
6	C₂×#15688853	C₂	1	1	yes	maximal, characteristic
7	C₂×C₈×C₄₇⋊C₈	C₂	1	1	yes	maximal, characteristic
8	C₂×C₈×Q₈×C₄₇	C₂	1	1	yes	maximal, characteristic
9	C₂²×#10625337	C₄	1	1	yes	characteristic
10	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
11	C₈×Dic₉₄	—	2	2	no	—
12	C₈×Dic₉₄	C₂²	1	4	yes	—
13	C₄×#10625337	C₄	1	4	yes	—
14	C₄×#10625337	C₂²	1	4	yes	—
15	C₂×#13093957	C₄	1	1	yes	characteristic
16	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
17	C₂×Dic₄₇⋊C₈	—	2	1	no	—
18	C₂×#13093948	C₄	1	1	yes	characteristic
19	C₂×#13093947	C₄	1	1	yes	characteristic
20	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
21	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
22	C₂×C₈×Dic₄₇	—	2	1	no	—
23	#15688875	C₂²	1	4	yes	—
24	Q₈⋊(C₄₇⋊C₈)	C₂²	1	4	yes	—
25	#15688853	C₂²	1	4	yes	—
26	C₈×C₄₇⋊C₈	C₂²	1	4	yes	—
27	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
28	C₈×Q₈×C₄₇	—	2	2	no	—
29	C₈×Q₈×C₄₇	C₂²	1	4	yes	—
30	C₂×C₄⋊C₈×C₄₇	—	2	1	no	—
31	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
32	C₂×C₄×C₈×C₄₇	—	2	1	no	—
33	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
34	C₂²×Dic₉₄	C₂×C₄	1	1	yes	characteristic
35	C₂×#10625337	C₈	1	8	yes	direct product factor
36	C₂×#10625337	C₂×C₄	1	4	yes	—
37	C₂²×C₄₇⋊C₈	—	2	1	no	—
38	C₂²×C₄₇⋊C₈	—	2	1	no	—
39	C₂²×C₄₇⋊C₈	C₂×C₄	1	1	yes	characteristic
40	C₂²×C₄₇⋊C₈	C₂×C₄	1	1	yes	characteristic
41	C₄×Dic₉₄	—	2	1	no	—
42	C₄×Dic₉₄	—	2	1	no	—
43	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
44	C₄×Dic₉₄	C₂³	1	2	yes	—
45	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
46	C₂×Dic₄₇⋊C₄	—	2	1	no	—
47	C₂×C₄×Dic₄₇	—	2	1	no	—
48	#13093957	C₂×C₄	1	4	yes	—
49	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
50	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
51	Dic₄₇⋊C₈	—	2	4	no	—
52	#13093948	C₂×C₄	1	4	yes	—
53	#13093947	C₂×C₄	1	4	yes	—
54	C₄×C₄₇⋊C₈	—	2	1	no	—
55	C₄×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
56	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
57	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
58	C₈×Dic₄₇	—	2	4	no	—
59	C₂²×Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
60	C₂²×C₈×C₄₇	—	2	1	no	—
61	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
62	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
63	C₄×Q₈×C₄₇	—	2	1	no	—
64	C₄×Q₈×C₄₇	—	2	1	no	—
65	C₄×Q₈×C₄₇	C₂×C₄	1	2	yes	—
66	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
67	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
68	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
69	C₂×C₄²×C₄₇	—	2	1	no	—
70	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
71	C₄⋊C₈×C₄₇	—	2	4	no	—
72	C₄⋊C₈×C₄₇	—	2	1	no	—
73	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
74	C₄×C₈×C₄₇	—	2	4	no	—
75	C₄×C₈×C₄₇	D₄	1	2	yes	—
76	C₄×C₈×C₄₇	C₂³	1	2	yes	—
77	C₂×Q₈×C₄₇	—	2	1	no	—
78	C₂×Q₈×C₄₇	—	2	2	no	—
79	C₂×Q₈×C₄₇	C₂×C₈	1	4	yes	—
80	C₂×Q₈×C₄₇	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₄₇	—	2	1	no	—
82	C₂²×C₄×C₄₇	—	2	1	no	—
83	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
84	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
86	C₂²×Dic₄₇	—	2	1	no	—
87	C₂²×Dic₄₇	—	2	1	no	—
88	C₂×Dic₉₄	—	2	1	no	—
89	C₂×Dic₉₄	—	2	2	no	—
90	C₂×Dic₉₄	C₂×C₈	1	4	yes	—
91	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
92	C₂×C₈×C₄₇	—	2	2	no	—
93	C₂×C₈×C₄₇	—	2	2	no	—
94	C₂×C₈×C₄₇	—	4	2	no	—
95	C₂×C₈×C₄₇	Q₁₆	1	4	yes	complemented
96	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
97	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
98	C₄⋊C₄×C₄₇	—	2	2	no	—
99	C₄⋊C₄×C₄₇	—	2	1	no	—
100	C₄⋊C₄×C₄₇	—	2	2	no	—
101	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
102	C₄²×C₄₇	—	2	2	no	—
103	C₄²×C₄₇	—	2	2	no	—
104	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
105	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
106	C₄²×C₄₇	#41	1	1	yes	characteristic
107	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
108	#10625337	C₂×C₈	1	16	yes	direct product factor
109	C₄⋊Dic₄₇	—	2	1	no	—
110	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
111	Dic₄₇⋊C₄	—	2	2	no	—
112	Dic₄₇⋊C₄	—	2	2	no	—
113	C₄×Dic₄₇	—	2	2	no	—
114	C₄×Dic₄₇	—	2	2	no	—
115	C₂×C₄₇⋊C₈	—	2	4	no	—
116	C₂×C₄₇⋊C₈	—	2	2	no	—
117	C₂×C₄₇⋊C₈	—	2	2	no	—
118	C₂×C₄₇⋊C₈	—	2	2	no	—
119	C₂×C₄₇⋊C₈	—	4	2	no	—
120	C₂×C₄₇⋊C₈	C₂×C₈	1	4	yes	—
121	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
122	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
123	C₂³×C₄₇	C₄×D₄	1	1	yes	characteristic
124	Q₈×C₄₇	—	2	2	no	—
125	Q₈×C₄₇	—	2	4	no	—
126	Q₈×C₄₇	C₂²×C₈	1	4	yes	—
127	C₂×C₄×C₄₇	—	2	2	no	—
128	C₂×C₄×C₄₇	—	2	4	no	—
129	C₂×C₄×C₄₇	—	2	2	no	—
130	C₂×C₄×C₄₇	—	2	2	no	—
131	C₂×C₄×C₄₇	—	4	2	no	—
132	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
133	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
134	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
135	C₂×C₄×C₄₇	C₂²×C₈	1	2	yes	—
136	C₂×C₄×C₄₇	#131	1	2	yes	—
137	C₂×C₄×C₄₇	C₂×Q₁₆	1	2	yes	—
138	C₂×C₄×C₄₇	#135	1	2	yes	—
139	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
140	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
141	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
142	C₂×Dic₄₇	—	2	2	no	—
143	C₂×Dic₄₇	—	2	4	no	—
144	C₂×Dic₄₇	—	2	2	no	—
145	C₂×Dic₄₇	—	4	2	no	—
146	Dic₉₄	—	2	2	no	—
147	Dic₉₄	—	2	4	no	—
148	Dic₉₄	C₂²×C₈	1	4	yes	—
149	C₈×C₄₇	—	2	2	no	—
150	C₈×C₄₇	—	4	2	no	—
151	C₈×C₄₇	C₂×Q₁₆	1	4	yes	complemented
152	C₄₇⋊C₈	—	2	4	no	—
153	C₄₇⋊C₈	—	2	2	no	—
154	C₄₇⋊C₈	—	4	2	no	—
155	C₄₇⋊C₈	C₂²×C₈	1	4	yes	—
156	C₂×C₈×Q₁₆	—	47	1	no	maximal, Sylow
157	C₂²×C₄₇	C₈×D₄	1	2	yes	—
158	C₂²×C₄₇	C₄×Q₁₆	1	2	yes	—
159	C₂²×C₄₇	#443	1	2	yes	—
160	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
161	C₄×C₄₇	—	2	4	no	—
162	C₄×C₄₇	—	2	1	no	—
163	C₄×C₄₇	—	2	1	no	—
164	C₄×C₄₇	—	4	2	no	—
165	C₄×C₄₇	C₈×D₄	1	2	yes	—
166	C₄×C₄₇	C₄×Q₁₆	1	2	yes	—
167	C₄×C₄₇	C₂³×C₈	1	1	yes	characteristic
168	C₄×C₄₇	C₂×#131	1	1	yes	characteristic
169	C₄×C₄₇	C₂²×Q₁₆	1	1	yes	characteristic
170	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
171	Dic₄₇	—	2	4	no	—
172	Dic₄₇	—	4	2	no	—
173	C₂×C₈×Q₈	—	47	1	no	—
174	C₂×C₈×Q₈	D₄₇	1	1	yes	characteristic
175	C₂×C₄×Q₁₆	—	47	1	no	—
176	C₈×Q₁₆	—	47	8	no	—
177	C₂×#335	—	47	1	no	—
178	C₂×Q₈⋊C₈	—	47	1	no	—
179	C₂×Q₈⋊C₈	—	47	1	no	—
180	C₂×C₈²	—	47	1	no	—
181	C₂×C₄₇	C₈×Q₁₆	1	4	yes	complemented
182	C₂×C₄₇	C₂×C₈×D₄	1	1	yes	characteristic
183	C₂×C₄₇	C₂×C₄×Q₁₆	1	1	yes	characteristic
184	C₂×C₄₇	C₂×#443	1	1	yes	characteristic
185	C₂²×Q₁₆	—	47	1	no	—
186	C₂×C₄×Q₈	—	47	1	no	—
187	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
188	C₈×Q₈	—	2	2	no	—
189	C₈×Q₈	—	47	4	no	—
190	C₈×Q₈	—	94	2	no	—
191	C₈×Q₈	C₂×D₄₇	1	4	yes	—
192	C₄×Q₁₆	—	47	4	no	—
193	C₄×Q₁₆	—	47	4	no	—
194	C₂×#107	—	47	1	no	—
195	C₂×C₄⋊C₈	—	2	1	no	—
196	C₂×C₄⋊C₈	—	47	1	no	—
197	C₂×C₄⋊C₈	—	94	1	no	—
198	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
199	C₂×#103	—	47	1	no	—
200	C₂×#103	—	47	1	no	—
201	C₂×C₄×C₈	—	2	1	no	—
202	C₂×C₄×C₈	—	47	1	no	—
203	C₂×C₄×C₈	—	47	1	no	—
204	C₂×C₄×C₈	—	94	1	no	—
205	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
206	#335	—	47	4	no	—
207	Q₈⋊C₈	—	47	4	no	—
208	Q₈⋊C₈	—	47	4	no	—
209	C₈²	—	47	4	no	—
210	C₄₇	C₂×C₈×Q₁₆	1	1	yes	characteristic, complemented, Sylow
211	C₂²×Q₈	—	47	1	no	—
212	C₂²×Q₈	C₄×D₄₇	1	1	yes	characteristic
213	C₂×Q₁₆	—	47	8	no	—
214	C₂×Q₁₆	—	47	4	no	—
215	C₂²×C₈	—	2	1	no	—
216	C₂²×C₈	—	47	1	no	—
217	C₂²×C₈	—	47	1	no	—
218	C₂²×C₈	—	94	1	no	—
219	C₂²×C₈	—	94	1	no	—
220	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
221	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
222	C₄×Q₈	—	2	1	no	—
223	C₄×Q₈	—	2	1	no	—
224	C₄×Q₈	—	47	2	no	—
225	C₄×Q₈	—	47	2	no	—
226	C₄×Q₈	—	94	1	no	—
227	C₄×Q₈	—	94	1	no	—
228	C₄×Q₈	C₄×D₄₇	1	2	yes	—
229	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
230	C₂×C₄⋊C₄	—	2	1	no	—
231	C₂×C₄⋊C₄	—	47	1	no	—
232	C₂×C₄⋊C₄	—	94	1	no	—
233	C₂×C₄⋊C₄	C₄×D₄₇	1	1	yes	characteristic
234	C₂×C₄²	—	2	1	no	—
235	C₂×C₄²	—	94	1	no	—
236	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
237	#107	—	47	4	no	—
238	C₄⋊C₈	—	2	4	no	—
239	C₄⋊C₈	—	2	1	no	—
240	C₄⋊C₈	—	47	2	no	—
241	C₄⋊C₈	—	94	4	no	—
242	C₄⋊C₈	—	94	1	no	—
243	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
244	#103	—	47	4	no	—
245	#103	—	47	4	no	—
246	C₄×C₈	—	2	4	no	—
247	C₄×C₈	—	47	2	no	—
248	C₄×C₈	—	47	2	no	—
249	C₄×C₈	—	47	2	no	—
250	C₄×C₈	—	94	4	no	—
251	C₄×C₈	—	94	1	no	—
252	C₄×C₈	C₂²⋊D₄₇	1	2	yes	—
253	C₄×C₈	C₂²×D₄₇	1	2	yes	—
254	C₂×Q₈	—	2	1	no	—
255	C₂×Q₈	—	2	2	no	—
256	C₂×Q₈	—	47	4	no	—
257	C₂×Q₈	—	47	2	no	—
258	C₂×Q₈	—	94	1	no	—
259	C₂×Q₈	—	94	2	no	—
260	C₂×Q₈	C₈×D₄₇	1	4	yes	—
261	C₂×Q₈	C₂×C₄×D₄₇	1	2	yes	—
262	C₂²×C₄	—	2	1	no	—
263	C₂²×C₄	—	2	1	no	—
264	C₂²×C₄	—	94	1	no	—
265	C₂²×C₄	—	94	1	no	—
266	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
267	C₂²×C₄	#10625350	1	1	yes	characteristic
268	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
269	Q₁₆	—	47	16	no	—
270	C₂×C₈	—	2	2	no	—
271	C₂×C₈	—	2	2	no	—
272	C₂×C₈	—	4	2	no	—
273	C₂×C₈	—	47	4	no	—
274	C₂×C₈	—	47	2	no	—
275	C₂×C₈	—	47	2	no	—
276	C₂×C₈	—	94	4	no	—
277	C₂×C₈	—	94	2	no	—
278	C₂×C₈	—	94	2	no	—
279	C₂×C₈	—	94	2	no	—
280	C₂×C₈	—	188	2	no	—
281	C₂×C₈	#10625337	1	4	yes	direct product factor
282	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
283	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
284	C₄⋊C₄	—	2	2	no	—
285	C₄⋊C₄	—	2	1	no	—
286	C₄⋊C₄	—	2	2	no	—
287	C₄⋊C₄	—	47	2	no	—
288	C₄⋊C₄	—	94	2	no	—
289	C₄⋊C₄	—	94	1	no	—
290	C₄⋊C₄	—	94	2	no	—
291	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
292	C₄²	—	2	2	no	—
293	C₄²	—	2	2	no	—
294	C₄²	—	94	2	no	—
295	C₄²	—	94	2	no	—
296	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
297	C₄²	#10625350	1	1	yes	characteristic
298	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
299	C₄²	C₂³×D₄₇	1	1	yes	characteristic
300	C₂³	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
301	Q₈	—	2	2	no	—
302	Q₈	—	2	4	no	—
303	Q₈	—	47	4	no	—
304	Q₈	—	94	2	no	—
305	Q₈	—	94	4	no	—
306	Q₈	C₂×C₈×D₄₇	1	4	yes	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	2	2	no	—
309	C₂×C₄	—	2	4	no	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	4	2	no	—
312	C₂×C₄	—	94	2	no	—
313	C₂×C₄	—	94	4	no	—
314	C₂×C₄	—	94	2	no	—
315	C₂×C₄	—	188	2	no	—
316	C₂×C₄	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
317	C₂×C₄	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
318	C₂×C₄	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
319	C₂×C₄	C₂×C₈×D₄₇	1	2	yes	—
320	C₂×C₄	#13094030	1	2	yes	—
321	C₂×C₄	C₂×#10625337	1	2	yes	—
322	C₂×C₄	#13094044	1	2	yes	—
323	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
324	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
325	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
326	C₈	—	2	2	no	—
327	C₈	—	4	2	no	—
328	C₈	—	47	4	no	—
329	C₈	—	94	4	no	—
330	C₈	—	94	2	no	—
331	C₈	—	188	2	no	—
332	C₈	C₂×#10625337	1	4	yes	direct product factor
333	C₂²	C₈×C₂²⋊D₄₇	1	2	yes	—
334	C₂²	C₄×#10625337	1	2	yes	—
335	C₂²	#15689238	1	2	yes	—
336	C₂²	C₂×C₄×C₂²⋊D₄₇	1	1	yes	characteristic
337	C₄	—	2	1	no	—
338	C₄	—	2	1	no	—
339	C₄	—	2	4	no	—
340	C₄	—	4	2	no	—
341	C₄	—	94	4	no	—
342	C₄	—	188	2	no	—
343	C₄	C₈×C₂²⋊D₄₇	1	2	yes	—
344	C₄	C₄×#10625337	1	2	yes	—
345	C₄	C₂²×C₈×D₄₇	1	1	yes	characteristic
346	C₄	C₂×#13094030	1	1	yes	characteristic
347	C₄	C₂²×#10625337	1	1	yes	characteristic
348	C₄	C₂×#13094044	1	1	yes	characteristic
349	C₂	C₈×#10625337	1	4	yes	direct product factor
350	C₂	C₂×C₈×C₂²⋊D₄₇	1	1	yes	characteristic
351	C₂	C₂×C₄×#10625337	1	1	yes	characteristic
352	C₂	C₂×#15689238	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₈	C₂²⋊D₄₇
commutator	C₄×C₄₇	C₂³×C₈
Frattini	C₄²	C₂³×D₄₇
Fitting	C₂×C₈×Q₈×C₄₇	C₂
socle, prime radical	C₂³×C₄₇	C₄×D₄
cosocle	C₄²×C₄₇	C₂⁴
hypercenter	C₂×C₈×Q₈	D₄₇
hypocenter	C₄₇	C₂×C₈×Q₁₆
LCS	G ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂²×C₈ ◁ C₂×C₄×C₈ ◁ C₂×C₈×Q₈

Complements

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

N	H ≅ G/N	type
3. C₈×#10625337	C₂	direct (N × H)
35. C₂×#10625337	C₈	direct (N × H)
95. C₂×C₈×C₄₇	Q₁₆	semidirect
108. #10625337	C₂×C₈	direct (N × H)
151. C₈×C₄₇	C₂×Q₁₆	semidirect
181. C₂×C₄₇	C₈×Q₁₆	semidirect
210. C₄₇	C₂×C₈×Q₁₆	semidirect
281. C₂×C₈	#10625337	direct (N × H)
332. C₈	C₂×#10625337	direct (N × H)
349. C₂	C₈×#10625337	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×C₈×Dic₉₄	2
C₂×C₄×#10625337	2
C₈×#10625337	2
C₂×#15688875	2
C₂×Q₈⋊(C₄₇⋊C₈)	2
C₂×#15688853	2
C₂×C₈×C₄₇⋊C₈	2
C₂×C₈×Q₈×C₄₇	2
C₂×C₈×Q₁₆	47

Subgroups — C2×C8×#10625337 #26185647

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₈×#10625337 #26185647