Subgroups — #26186931

Order 12032.

640 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20253964	C₂	1	1	yes	maximal, characteristic
2	#20252462	C₂	1	2	yes	maximal, complemented
3	#20242299	C₂	1	2	yes	maximal, complemented
4	#20242273	C₂	1	1	yes	maximal, characteristic, complemented
5	#20242272	C₂	1	1	yes	maximal, characteristic, complemented
6	#20242210	C₂	1	2	yes	maximal, complemented
7	C₈×D₃₇₆	C₂	1	1	yes	maximal, characteristic, complemented
8	#20242150	C₂	1	1	yes	maximal, characteristic, complemented
9	#20241855	C₂	1	2	yes	maximal, complemented
10	#20241670	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈×D₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689670	C₂²	1	2	yes	—
13	#15689527	C₄	1	1	yes	characteristic
14	#15689498	C₄	1	1	yes	characteristic
15	#15689468	C₄	1	2	yes	—
16	#15689360	C₄	1	1	yes	characteristic
17	#15689358	C₄	1	2	yes	—
18	#15689356	C₄	1	1	yes	characteristic
19	C₄×D₃₇₆	C₂²	1	1	yes	characteristic
20	C₄×#10625334	C₂²	1	2	yes	—
21	#15689201	C₂²	1	2	yes	—
22	#15689200	C₂²	1	2	yes	—
23	#15689197	—	2	2	no	—
24	#15689194	—	2	2	no	—
25	C₈×D₁₈₈	C₂²	1	2	yes	—
26	#15689179	C₂²	1	2	yes	—
27	#15689174	C₂²	1	1	yes	characteristic
28	#15689174	C₂²	1	1	yes	characteristic
29	#15689089	—	2	2	no	—
30	#15689088	—	2	2	no	—
31	C₄×C₈×D₄₇	C₂²	1	1	yes	characteristic
32	#15688876	C₂²	1	1	yes	characteristic
33	#15688873	C₂²	1	2	yes	—
34	#15688852	C₂²	1	2	yes	—
35	D₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
36	#15688850	C₂²	1	2	yes	—
37	#15688845	C₂²	1	1	yes	characteristic
38	#15688845	C₂²	1	1	yes	characteristic
39	C₈×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
40	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
41	C₈×D₄×C₄₇	C₂²	1	2	yes	—
42	C₄₇×#335	C₂²	1	1	yes	characteristic
43	C₄₇×D₄⋊C₈	C₂²	1	2	yes	—
44	C₈²×C₄₇	C₂²	1	1	yes	characteristic
45	C₂×#10625350	—	2	2	no	—
46	C₂×D₃₇₆	C₂×C₄	1	1	yes	characteristic
47	C₂×#10625334	C₂×C₄	1	2	yes	—
48	C₂×#10625329	—	2	2	no	—
49	C₂×#10625324	—	2	2	no	—
50	C₂×C₈×D₄₇	—	2	2	no	—
51	C₂×C₈×D₄₇	C₂×C₄	1	1	yes	characteristic
52	C₂×C₈×D₄₇	C₂×C₄	1	1	yes	characteristic
53	#13094023	C₂×C₄	1	2	yes	—
54	#13094020	C₂×C₄	1	2	yes	—
55	#13094010	—	2	2	no	—
56	#13093999	C₂×C₄	1	2	yes	—
57	#13093997	—	2	2	no	—
58	#13093995	C₂×C₄	1	2	yes	—
59	C₄×D₁₈₈	C₂³	1	2	yes	—
60	C₄×C₂²⋊D₄₇	—	2	2	no	—
61	C₄²×D₄₇	C₂³	1	1	yes	characteristic
62	#13093958	C₂×C₄	1	1	yes	characteristic
63	#13093957	C₂×C₄	1	2	yes	—
64	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
65	Dic₄₇⋊C₈	—	2	1	no	—
66	Dic₄₇⋊C₈	D₄	1	1	yes	characteristic
67	Dic₄₇⋊C₈	D₄	1	1	yes	characteristic
68	#13093946	C₂×C₄	1	2	yes	—
69	#13093945	C₂×C₄	1	2	yes	—
70	#13093944	C₂×C₄	1	2	yes	—
71	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
72	(C₂×D₄₇)⋊C₈	—	2	2	no	—
73	(C₂×D₄₇)⋊C₈	—	2	1	no	—
74	(C₂×D₄₇)⋊C₈	—	2	2	no	—
75	(C₂×D₄₇)⋊C₈	—	2	2	no	—
76	(C₂×D₄₇)⋊C₈	D₄	1	1	yes	characteristic
77	(C₂×D₄₇)⋊C₈	D₄	1	1	yes	characteristic
78	#13093934	—	2	2	no	—
79	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
80	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
81	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
82	C₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
83	C₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
84	C₂×D₈×C₄₇	C₂×C₄	1	1	yes	characteristic
85	C₂²×C₈×C₄₇	—	2	2	no	—
86	C₄×D₄×C₄₇	C₂³	1	2	yes	—
87	#107×C₄₇	C₂×C₄	1	1	yes	characteristic
88	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
89	#102×C₄₇	C₂×C₄	1	2	yes	—
90	C₂²⋊C₈×C₄₇	—	2	2	no	—
91	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
92	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
93	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
94	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
95	C₂²×C₄×C₄₇	—	2	2	no	—
96	C₂×C₂²⋊D₄₇	—	2	2	no	—
97	C₂×C₂²⋊D₄₇	—	2	2	no	—
98	C₂×C₂²⋊D₄₇	—	2	2	no	—
99	#10625350	—	8	2	no	—
100	#10625350	—	8	2	no	—
101	C₂×D₁₈₈	—	2	2	no	—
102	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
103	C₂×C₄×D₄₇	—	2	2	no	—
104	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
105	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
106	C₂×C₄×D₄₇	#41	1	1	yes	characteristic
107	C₂×Dic₉₄	—	2	2	no	—
108	D₈×C₄₇	—	2	2	no	—
109	C₂×C₈×C₄₇	—	2	2	no	—
110	C₂×C₈×C₄₇	—	2	1	no	—
111	C₂×C₈×C₄₇	—	8	2	no	—
112	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
113	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
114	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
115	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
116	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
117	C₂²⋊C₄×C₄₇	—	2	2	no	—
118	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
119	C₂²⋊Dic₄₇	—	2	2	no	—
120	#10625334	—	2	4	no	—
121	(C₂×D₄₇)⋊C₄	—	2	2	no	—
122	(C₂×D₄₇)⋊C₄	—	2	2	no	—
123	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
124	Dic₄₇⋊C₄	—	2	2	no	—
125	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
126	C₄×Dic₄₇	C₂×D₄	1	1	yes	characteristic
127	C₄×Dic₄₇	#41	1	1	yes	characteristic
128	#10625329	—	8	2	no	—
129	C₂×C₄₇⋊C₈	—	2	2	no	—
130	C₂×C₄₇⋊C₈	—	2	1	no	—
131	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
132	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
133	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
134	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
135	D₃₇₆	—	2	2	no	—
136	#10625324	—	8	2	no	—
137	C₈×D₄₇	—	2	2	no	—
138	C₈×D₄₇	—	2	2	no	—
139	C₈×D₄₇	—	8	2	no	—
140	C₂³×C₄₇	—	2	2	no	—
141	C₂²×D₄₇	—	2	2	no	—
142	C₂²×D₄₇	C₄×D₄	1	1	yes	characteristic
143	D₄×C₄₇	—	2	2	no	—
144	D₄×C₄₇	—	2	2	no	—
145	C₂×C₄×C₄₇	—	2	2	no	—
146	C₂×C₄×C₄₇	—	4	2	no	—
147	C₂×C₄×C₄₇	—	4	2	no	—
148	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
151	C₂²⋊D₄₇	—	8	2	no	—
152	C₂²⋊D₄₇	—	8	2	no	—
153	C₂²⋊D₄₇	—	8	2	no	—
154	C₂×Dic₄₇	—	2	2	no	—
155	C₂×Dic₄₇	C₄×D₄	1	1	yes	characteristic
156	C₂×Dic₄₇	C₄×D₄	1	1	yes	characteristic
157	C₂×Dic₄₇	C₄×D₄	1	1	yes	characteristic
158	D₁₈₈	—	2	2	no	—
159	D₁₈₈	—	2	2	no	—
160	D₁₈₈	—	8	2	no	—
161	C₄×D₄₇	—	2	1	no	—
162	C₄×D₄₇	—	2	1	no	—
163	C₄×D₄₇	—	2	1	no	—
164	C₄×D₄₇	—	2	1	no	—
165	C₄×D₄₇	—	4	1	no	—
166	C₄×D₄₇	—	4	2	no	—
167	C₄×D₄₇	—	4	2	no	—
168	Dic₉₄	—	8	2	no	—
169	C₈×C₄₇	—	2	1	no	—
170	C₈×C₄₇	—	2	1	no	—
171	C₈×C₄₇	—	2	1	no	—
172	C₈×C₄₇	—	4	1	no	—
173	C₈×C₄₇	—	4	2	no	—
174	C₈×C₄₇	#131	1	2	yes	—
175	C₄₇⋊C₈	—	2	1	no	—
176	C₄₇⋊C₈	—	2	1	no	—
177	C₄₇⋊C₈	—	2	1	no	—
178	C₄₇⋊C₈	—	4	1	no	—
179	C₄₇⋊C₈	—	4	2	no	—
180	C₄₇⋊C₈	#131	1	2	yes	—
181	#17970	—	47	1	no	maximal, Sylow
182	C₂²×C₄₇	—	4	2	no	—
183	C₂²×C₄₇	—	4	2	no	—
184	C₂²×C₄₇	—	4	2	no	—
185	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
186	C₂×D₄₇	—	2	1	no	—
187	C₂×D₄₇	—	2	1	no	—
188	C₂×D₄₇	—	2	1	no	—
189	C₂×D₄₇	—	4	2	no	—
190	C₂×D₄₇	—	4	2	no	—
191	C₂×D₄₇	—	4	2	no	—
192	C₄×C₄₇	—	2	1	no	—
193	C₄×C₄₇	—	4	2	no	—
194	C₄×C₄₇	C₂×#131	1	1	yes	characteristic
195	C₄×C₄₇	C₂×#131	1	1	yes	characteristic
196	C₄×C₄₇	#576	1	1	yes	characteristic
197	C₄×C₄₇	#576	1	1	yes	characteristic
198	Dic₄₇	—	2	1	no	—
199	Dic₄₇	—	2	1	no	—
200	Dic₄₇	—	2	1	no	—
201	Dic₄₇	—	4	2	no	—
202	#3169	—	47	1	no	—
203	#2981	—	47	2	no	—
204	#1594	—	47	2	no	—
205	#1589	—	47	1	no	—
206	#1589	—	47	1	no	—
207	#1580	—	47	2	no	—
208	C₈×D₈	—	47	1	no	—
209	C₈×D₈	D₄₇	1	1	yes	characteristic, complemented
210	#1568	—	47	1	no	—
211	#1496	—	47	2	no	—
212	#1450	—	47	1	no	—
213	C₂×C₄₇	—	8	2	no	—
214	C₂×C₄₇	#2931	1	1	yes	characteristic
215	C₂×C₄₇	#2948	1	1	yes	characteristic
216	C₂×C₄₇	#2957	1	1	yes	characteristic
217	D₄₇	—	4	1	no	—
218	D₄₇	—	8	2	no	—
219	#532	—	47	2	no	—
220	#500	—	47	1	no	—
221	#493	—	47	1	no	—
222	#486	—	47	2	no	—
223	#466	—	47	1	no	—
224	#466	—	47	1	no	—
225	#466	—	47	2	no	—
226	C₄×D₈	—	47	2	no	—
227	C₄×D₈	—	47	1	no	—
228	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
229	#436	—	47	2	no	—
230	#436	—	47	2	no	—
231	#435	—	94	2	no	—
232	#435	—	94	2	no	—
233	C₈×D₄	—	47	2	no	—
234	C₈×D₄	C₂×D₄₇	1	2	yes	—
235	#432	—	47	2	no	—
236	#431	—	47	1	no	—
237	#431	—	47	1	no	—
238	#408	—	94	2	no	—
239	#408	—	94	2	no	—
240	C₂×C₄×C₈	—	47	1	no	—
241	#335	—	47	1	no	—
242	#335	C₂×D₄₇	1	1	yes	characteristic
243	#334	—	47	2	no	—
244	D₄⋊C₈	—	47	2	no	—
245	D₄⋊C₈	—	47	2	no	—
246	D₄⋊C₈	—	47	2	no	—
247	D₄⋊C₈	C₂×D₄₇	1	2	yes	—
248	#322	—	47	1	no	—
249	#322	—	47	1	no	—
250	C₈²	—	47	1	no	—
251	C₈²	C₂×D₄₇	1	1	yes	characteristic
252	C₄₇	#17970	1	1	yes	characteristic, complemented, Sylow
253	C₂×#41	—	94	2	no	—
254	C₂×D₈	—	47	2	no	—
255	C₂×D₈	—	47	1	no	—
256	C₂×D₈	C₄×D₄₇	1	1	yes	characteristic
257	C₂×M₁₆	—	94	2	no	—
258	C₂×M₁₆	—	94	2	no	—
259	C₂²×C₈	—	2	2	no	—
260	C₂²×C₈	—	47	1	no	—
261	C₂²×C₈	—	47	1	no	—
262	C₂²×C₈	—	94	2	no	—
263	C₄⋊Q₈	—	47	2	no	—
264	#127	—	47	2	no	—
265	#124	—	94	2	no	—
266	#121	—	47	2	no	—
267	#121	—	47	2	no	—
268	#121	—	94	2	no	—
269	C₄×D₄	—	47	2	no	—
270	C₄×D₄	—	94	2	no	—
271	C₄×D₄	C₂²×D₄₇	1	2	yes	—
272	C₂×C₄²	—	47	1	no	—
273	#107	—	47	1	no	—
274	#107	—	47	2	no	—
275	#107	C₄×D₄₇	1	1	yes	characteristic
276	C₄⋊C₈	—	47	1	no	—
277	C₄⋊C₈	—	47	1	no	—
278	C₄⋊C₈	—	47	2	no	—
279	C₄⋊C₈	—	94	1	no	—
280	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
281	#102	—	47	2	no	—
282	#102	—	47	2	no	—
283	#102	—	47	2	no	—
284	#102	C₄×D₄₇	1	2	yes	—
285	C₂²⋊C₈	—	2	2	no	—
286	C₂²⋊C₈	—	47	1	no	—
287	C₂²⋊C₈	—	47	1	no	—
288	C₂²⋊C₈	—	94	2	no	—
289	C₂²⋊C₈	—	94	2	no	—
290	C₂²⋊C₈	—	94	1	no	—
291	C₂²⋊C₈	—	94	2	no	—
292	C₂²⋊C₈	—	94	2	no	—
293	#97	—	94	2	no	—
294	C₄×C₈	—	47	1	no	—
295	C₄×C₈	—	47	1	no	—
296	C₄×C₈	—	47	1	no	—
297	C₄×C₈	—	47	1	no	—
298	C₄×C₈	—	47	1	no	—
299	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
300	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
301	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
302	#41	—	376	2	no	—
303	#41	—	376	2	no	—
304	C₂×Q₈	—	94	2	no	—
305	C₂×D₄	—	47	2	no	—
306	C₂×D₄	—	94	2	no	—
307	C₂×D₄	—	94	2	no	—
308	C₂×D₄	—	94	2	no	—
309	C₂×D₄	—	94	2	no	—
310	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
311	C₂²×C₄	—	2	2	no	—
312	C₂²×C₄	—	47	1	no	—
313	C₂²×C₄	—	47	1	no	—
314	C₂²×C₄	—	47	1	no	—
315	C₂²×C₄	—	94	2	no	—
316	D₈	—	2	2	no	—
317	D₈	—	94	4	no	—
318	D₈	—	94	2	no	—
319	M₁₆	—	376	2	no	—
320	M₁₆	—	376	2	no	—
321	C₂×C₈	—	2	2	no	—
322	C₂×C₈	—	2	1	no	—
323	C₂×C₈	—	8	2	no	—
324	C₂×C₈	—	47	1	no	—
325	C₂×C₈	—	47	1	no	—
326	C₂×C₈	—	47	1	no	—
327	C₂×C₈	—	47	1	no	—
328	C₂×C₈	—	94	2	no	—
329	C₂×C₈	—	94	2	no	—
330	C₂×C₈	—	94	2	no	—
331	C₂×C₈	—	94	1	no	—
332	C₂×C₈	—	376	2	no	—
333	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
334	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
335	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
336	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
337	C₄⋊C₄	—	47	2	no	—
338	C₄⋊C₄	—	94	2	no	—
339	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
340	C₂²⋊C₄	—	2	2	no	—
341	C₂²⋊C₄	—	94	2	no	—
342	C₂²⋊C₄	—	94	2	no	—
343	C₂²⋊C₄	—	94	2	no	—
344	C₄²	—	47	1	no	—
345	C₄²	—	47	1	no	—
346	C₄²	—	47	1	no	—
347	C₄²	C₂³×D₄₇	1	1	yes	characteristic
348	C₂³	—	2	2	no	—
349	C₂³	—	47	1	no	—
350	C₂³	—	94	2	no	—
351	Q₈	—	376	2	no	—
352	D₄	—	2	2	no	—
353	D₄	—	2	2	no	—
354	D₄	—	94	2	no	—
355	D₄	—	94	2	no	—
356	D₄	—	376	2	no	—
357	D₄	—	376	2	no	—
358	D₄	—	376	2	no	—
359	D₄	—	376	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	4	2	no	—
362	C₂×C₄	—	4	2	no	—
363	C₂×C₄	—	47	1	no	—
364	C₂×C₄	—	47	1	no	—
365	C₂×C₄	—	47	1	no	—
366	C₂×C₄	—	94	1	no	—
367	C₂×C₄	—	94	1	no	—
368	C₂×C₄	—	94	1	no	—
369	C₂×C₄	—	94	1	no	—
370	C₂×C₄	—	94	2	no	—
371	C₂×C₄	—	188	1	no	—
372	C₂×C₄	—	188	2	no	—
373	C₂×C₄	—	188	2	no	—
374	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
375	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
376	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
377	C₈	—	2	1	no	—
378	C₈	—	2	1	no	—
379	C₈	—	2	1	no	—
380	C₈	—	4	1	no	—
381	C₈	—	4	2	no	—
382	C₈	—	47	2	no	—
383	C₈	—	94	1	no	—
384	C₈	—	94	1	no	—
385	C₈	—	94	1	no	—
386	C₈	—	188	1	no	—
387	C₈	—	188	2	no	—
388	C₈	#13094030	1	2	yes	—
389	C₂²	—	4	2	no	—
390	C₂²	—	4	2	no	—
391	C₂²	—	4	2	no	—
392	C₂²	—	94	1	no	—
393	C₂²	—	94	1	no	—
394	C₂²	—	94	1	no	—
395	C₂²	—	188	2	no	—
396	C₂²	—	188	2	no	—
397	C₂²	—	188	2	no	—
398	C₂²	C₄×D₄×D₄₇	1	1	yes	characteristic
399	C₄	—	2	1	no	—
400	C₄	—	4	2	no	—
401	C₄	—	94	1	no	—
402	C₄	—	94	1	no	—
403	C₄	—	94	1	no	—
404	C₄	—	188	2	no	—
405	C₄	#131×D₄₇	1	1	yes	characteristic
406	C₄	C₂×#13094030	1	1	yes	characteristic
407	C₄	#15689924	1	1	yes	characteristic
408	C₄	#15689925	1	1	yes	characteristic
409	C₂	—	8	2	no	—
410	C₂	—	376	2	no	—
411	C₂	—	188	1	no	—
412	C₂	#20252095	1	1	yes	characteristic
413	C₂	#20252235	1	1	yes	characteristic
414	C₂	#20252300	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₄²	C₂³×D₄₇
Fitting	C₈×D₈×C₄₇	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	#20253964	C₂
cosocle	C₄²×C₄₇	C₂⁴
hypercenter	C₈×D₈	D₄₇
hypocenter	C₄₇	#17970
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₄×C₈ ◁ C₈×D₈

Complements

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

N	H ≅ G/N	type
2. #20252462	C₂	semidirect
3. #20242299	C₂	semidirect
4. #20242273	C₂	semidirect
5. #20242272	C₂	semidirect
6. #20242210	C₂	semidirect
7. C₈×D₃₇₆	C₂	semidirect
8. #20242150	C₂	semidirect
9. #20241855	C₂	semidirect
10. #20241670	C₂	semidirect
11. C₈×D₈×C₄₇	C₂	semidirect
209. C₈×D₈	D₄₇	semidirect
252. C₄₇	#17970	semidirect

Maximal subgroups

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

subgroup	index
#20253964	2
#20252462	2
#20242299	2
#20242273	2
#20242272	2
#20242210	2
C₈×D₃₇₆	2
#20242150	2
#20241855	2
#20241670	2
C₈×D₈×C₄₇	2
#17970	47