Subgroups — #26117357

Order 12032.

714 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	C₂×#15689496	C₂	1	1	yes	maximal, characteristic
2	C₂×#15689323	C₂	1	1	yes	maximal, characteristic
3	#20248593	C₂	1	1	yes	maximal, characteristic, complemented
4	#20244314	C₂	1	1	yes	maximal, characteristic
5	C₂×#15688871	C₂	1	1	yes	maximal, characteristic, complemented
6	#20241228	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₄₇×Q₈⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#10625325	—	2	2	no	—
9	C₂²×#10625336	—	2	1	no	—
10	C₂×#13094024	C₂²	1	1	yes	characteristic
11	C₂×#13094021	C₂²	1	1	yes	characteristic
12	#15689496	—	2	2	no	—
13	#15689496	—	2	2	no	—
14	#15689323	—	2	2	no	—
15	#15689323	—	2	2	no	—
16	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
17	C₂×#13093946	—	2	2	no	—
18	C₂×#13093944	—	2	1	no	—
19	#15689043	—	2	2	no	—
20	#15689030	—	2	1	no	—
21	#15689021	—	2	2	no	—
22	#15688992	—	2	1	no	—
23	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
24	#15688871	—	2	2	no	—
25	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
26	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
28	C₄₇×Q₈⋊C₈	—	2	2	no	—
29	C₂²×Dic₉₄	D₄	1	2	yes	—
30	C₂²×D₁₈₈	—	2	1	no	—
31	C₂²×D₁₈₈	—	2	1	no	—
32	C₂²×D₁₈₈	—	2	1	no	—
33	C₂×#10625325	—	2	8	no	—
34	C₂×#10625325	—	4	8	no	—
35	C₂×#10625336	—	2	4	no	—
36	C₂×#10625336	—	4	2	no	—
37	C₂×#10625336	—	4	2	no	—
38	C₂²×C₄₇⋊C₈	—	2	1	no	—
39	#13094024	—	2	1	no	—
40	#13094024	—	2	1	no	—
41	#13094024	—	2	1	no	—
42	#13094024	—	2	1	no	—
43	#13094021	—	2	1	no	—
44	#13094021	—	2	1	no	—
45	#13094021	—	2	1	no	—
46	#13094021	D₄	1	2	yes	—
47	C₂×C₄⋊Dic₄₇	—	2	1	no	—
48	C₂×C₄⋊Dic₄₇	—	2	1	no	—
49	C₂×C₄⋊Dic₄₇	D₄	1	2	yes	—
50	C₂×Dic₄₇⋊C₄	—	2	4	no	—
51	C₂×C₄×Dic₄₇	—	2	1	no	—
52	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
53	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
54	#13093946	—	4	4	no	—
55	#13093944	—	2	4	no	—
56	C₄₇⋊#95	—	2	4	no	—
57	C₄₇⋊#95	—	2	1	no	—
58	C₂²×Q₈×C₄₇	D₄	1	1	yes	characteristic
59	C₂²×C₈×C₄₇	—	2	1	no	—
60	C₂²×C₈×C₄₇	—	2	1	no	—
61	C₄×Q₈×C₄₇	—	2	1	no	—
62	C₄×Q₈×C₄₇	—	2	1	no	—
63	C₄×Q₈×C₄₇	—	2	1	no	—
64	C₄×Q₈×C₄₇	—	2	1	no	—
65	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
66	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
67	C₂×C₄²×C₄₇	—	2	1	no	—
68	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
69	C₄⋊C₈×C₄₇	—	2	1	no	—
70	C₄⋊C₈×C₄₇	—	2	1	no	—
71	C₄×C₈×C₄₇	—	2	1	no	—
72	C₄×C₈×C₄₇	D₄	1	2	yes	—
73	C₂³×D₄₇	—	4	1	no	—
74	C₂×Q₈×C₄₇	—	2	1	no	—
75	C₂×Q₈×C₄₇	—	2	1	no	—
76	C₂×Q₈×C₄₇	—	2	1	no	—
77	C₂×Q₈×C₄₇	—	2	1	no	—
78	C₂×Q₈×C₄₇	—	2	1	no	—
79	C₂×Q₈×C₄₇	SD₁₆	1	2	yes	complemented
80	C₂²×C₄×C₄₇	—	2	1	no	—
81	C₂²×C₄×C₄₇	—	2	1	no	—
82	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
83	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
85	C₂²×Dic₄₇	—	2	2	no	—
86	C₂²×Dic₄₇	—	2	2	no	—
87	C₂×D₁₈₈	—	2	2	no	—
88	C₂×D₁₈₈	—	2	2	no	—
89	C₂×D₁₈₈	—	2	2	no	—
90	C₂×D₁₈₈	—	4	4	no	—
91	C₂×D₁₈₈	—	4	2	no	—
92	C₂×D₁₈₈	—	4	1	no	—
93	C₂×D₁₈₈	—	4	1	no	—
94	C₂×D₁₈₈	—	4	1	no	—
95	C₂×D₁₈₈	—	4	1	no	—
96	C₂×D₁₈₈	—	4	2	no	—
97	C₂×D₁₈₈	—	4	1	no	—
98	C₂×D₁₈₈	—	4	1	no	—
99	C₂×D₁₈₈	—	4	1	no	—
100	C₂×Dic₉₄	—	2	2	no	—
101	C₂×Dic₉₄	—	2	2	no	—
102	C₂×Dic₉₄	—	4	4	no	—
103	C₂×C₈×C₄₇	—	2	4	no	—
104	C₂×C₈×C₄₇	—	2	2	no	—
105	C₂×C₈×C₄₇	—	4	1	no	—
106	C₂×C₈×C₄₇	—	4	2	no	—
107	C₄⋊C₄×C₄₇	—	2	1	no	—
108	C₄⋊C₄×C₄₇	—	2	1	no	—
109	C₄⋊C₄×C₄₇	—	4	1	no	—
110	C₄⋊C₄×C₄₇	—	4	1	no	—
111	C₄²×C₄₇	—	4	1	no	—
112	C₄²×C₄₇	—	4	1	no	—
113	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
114	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
115	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₄₇	#41	1	1	yes	characteristic
117	#10625336	—	4	8	no	—
118	C₄⋊Dic₄₇	—	2	2	no	—
119	C₄⋊Dic₄₇	—	4	1	no	—
120	C₄⋊Dic₄₇	—	4	1	no	—
121	C₄⋊Dic₄₇	—	4	1	no	—
122	C₄⋊Dic₄₇	—	4	1	no	—
123	C₄⋊Dic₄₇	SD₁₆	1	4	yes	complemented
124	Dic₄₇⋊C₄	—	8	4	no	—
125	C₄×Dic₄₇	—	4	1	no	—
126	C₄×Dic₄₇	—	4	1	no	—
127	C₂×C₄₇⋊C₈	—	2	2	no	—
128	C₂×C₄₇⋊C₈	—	4	1	no	—
129	C₂×C₄₇⋊C₈	—	4	1	no	—
130	#10625325	—	4	16	no	—
131	C₂³×C₄₇	#120	1	1	yes	characteristic
132	C₂²×D₄₇	—	4	2	no	—
133	C₂²×D₄₇	—	8	2	no	—
134	C₂²×D₄₇	—	8	1	no	—
135	C₂²×D₄₇	—	8	1	no	—
136	C₂²×D₄₇	—	8	2	no	—
137	Q₈×C₄₇	—	2	2	no	—
138	Q₈×C₄₇	—	2	2	no	—
139	Q₈×C₄₇	—	4	1	no	—
140	Q₈×C₄₇	—	4	1	no	—
141	C₂×C₄×C₄₇	—	2	2	no	—
142	C₂×C₄×C₄₇	—	2	2	no	—
143	C₂×C₄×C₄₇	—	4	1	no	—
144	C₂×C₄×C₄₇	—	4	1	no	—
145	C₂×C₄×C₄₇	—	4	1	no	—
146	C₂×C₄×C₄₇	—	4	2	no	—
147	C₂×C₄×C₄₇	#120	1	1	yes	characteristic
148	C₂×C₄×C₄₇	#120	1	1	yes	characteristic
149	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
150	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
151	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
152	C₂×C₄×C₄₇	#127	1	1	yes	characteristic
153	C₂×C₄×C₄₇	C₂×SD₁₆	1	2	yes	—
154	C₂×C₄×C₄₇	C₂×SD₁₆	1	1	yes	characteristic
155	C₂×C₄×C₄₇	#135	1	1	yes	characteristic
156	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	1	yes	characteristic
157	C₂×C₄×C₄₇	#137	1	2	yes	—
158	C₂×C₄×C₄₇	#137	1	1	yes	characteristic
159	C₂×Dic₄₇	—	2	4	no	—
160	C₂×Dic₄₇	—	4	2	no	—
161	C₂×Dic₄₇	—	4	2	no	—
162	C₂×Dic₄₇	—	4	2	no	—
163	C₂×Dic₄₇	—	4	4	no	—
164	D₁₈₈	—	4	4	no	—
165	D₁₈₈	—	4	2	no	—
166	D₁₈₈	—	4	2	no	—
167	D₁₈₈	—	4	4	no	—
168	D₁₈₈	—	8	2	no	—
169	D₁₈₈	—	8	1	no	—
170	D₁₈₈	—	8	1	no	—
171	D₁₈₈	—	8	1	no	—
172	D₁₈₈	—	8	1	no	—
173	Dic₉₄	—	4	4	no	—
174	Dic₉₄	—	8	2	no	—
175	C₈×C₄₇	—	2	4	no	—
176	C₈×C₄₇	—	8	1	no	—
177	C₄₇⋊C₈	—	4	2	no	—
178	#10049	—	47	1	no	maximal, Sylow
179	C₂²×C₄₇	#392	1	1	yes	characteristic
180	C₂²×C₄₇	#448	1	2	yes	—
181	C₂²×C₄₇	#448	1	1	yes	characteristic
182	C₂²×C₄₇	#449	1	1	yes	characteristic
183	C₂²×C₄₇	#453	1	2	yes	—
184	C₂×D₄₇	—	8	2	no	—
185	C₂×D₄₇	—	8	2	no	—
186	C₂×D₄₇	—	8	2	no	—
187	C₂×D₄₇	—	16	2	no	—
188	C₂×D₄₇	—	16	2	no	—
189	C₄×C₄₇	—	2	1	no	—
190	C₄×C₄₇	—	2	1	no	—
191	C₄×C₄₇	—	4	2	no	—
192	C₄×C₄₇	—	8	1	no	—
193	C₄×C₄₇	#450	1	1	yes	characteristic
194	C₄×C₄₇	#452	1	1	yes	characteristic
195	C₄×C₄₇	#461	1	2	yes	—
196	C₄×C₄₇	#465	1	1	yes	characteristic
197	C₄×C₄₇	#468	1	1	yes	characteristic
198	C₄×C₄₇	#492	1	1	yes	characteristic
199	C₄×C₄₇	#497	1	1	yes	characteristic
200	Dic₄₇	—	4	4	no	—
201	Dic₄₇	—	8	2	no	—
202	C₂×#492	—	47	1	no	—
203	C₂×#460	—	47	1	no	—
204	#2567	—	47	1	no	—
205	#1982	—	47	1	no	—
206	C₂×#333	—	47	1	no	—
207	C₂×Q₈⋊C₈	D₄₇	1	1	yes	characteristic, complemented
208	#1279	—	47	1	no	—
209	C₂×C₄₇	#1622	1	2	yes	—
210	C₂×C₄₇	#1623	1	2	yes	—
211	C₂×C₄₇	#2000	1	1	yes	characteristic
212	C₂×C₄₇	#2002	1	1	yes	characteristic
213	C₂×C₄₇	#2013	1	1	yes	characteristic
214	D₄₇	—	16	2	no	—
215	C₂²×SD₁₆	—	94	2	no	—
216	C₂²×SD₁₆	—	94	1	no	—
217	C₂×C₄⋊Q₈	—	47	1	no	—
218	C₂×#127	—	47	1	no	—
219	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
220	#492	—	94	2	no	—
221	#492	—	94	2	no	—
222	#460	—	94	2	no	—
223	#460	—	94	2	no	—
224	C₂×C₄⋊C₈	—	47	1	no	—
225	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
226	C₂×#102	—	94	1	no	—
227	C₂×#102	—	94	2	no	—
228	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
229	#395	—	94	2	no	—
230	#391	—	94	1	no	—
231	#389	—	94	2	no	—
232	#384	—	94	1	no	—
233	C₄×C₄⋊C₄	—	47	1	no	—
234	#333	—	94	2	no	—
235	Q₈⋊C₈	—	2	2	no	—
236	C₄₇	#10049	1	1	yes	characteristic, complemented, Sylow
237	C₂²×Q₈	—	47	2	no	—
238	C₂²×Q₈	D₁₈₈	1	1	yes	characteristic
239	C₂²×D₄	—	94	1	no	—
240	C₂²×D₄	—	94	1	no	—
241	C₂²×D₄	—	94	1	no	—
242	C₂×SD₁₆	—	94	8	no	—
243	C₂×SD₁₆	—	94	4	no	—
244	C₂×SD₁₆	—	188	8	no	—
245	C₂×SD₁₆	—	188	2	no	—
246	C₂×SD₁₆	—	188	2	no	—
247	C₂²×C₈	—	2	1	no	—
248	C₂²×C₈	—	2	1	no	—
249	C₂²×C₈	—	94	1	no	—
250	C₄⋊Q₈	—	94	1	no	—
251	C₄⋊Q₈	—	94	1	no	—
252	C₄⋊Q₈	—	94	1	no	—
253	C₄⋊Q₈	—	94	1	no	—
254	#127	—	47	2	no	—
255	#127	—	94	1	no	—
256	#127	—	94	1	no	—
257	#127	—	94	1	no	—
258	C₄×Q₈	—	2	1	no	—
259	C₄×Q₈	—	2	1	no	—
260	C₄×Q₈	—	2	1	no	—
261	C₄×Q₈	—	2	1	no	—
262	C₂×C₄⋊C₄	—	2	1	no	—
263	C₂×C₄⋊C₄	—	47	2	no	—
264	C₂×C₄⋊C₄	—	94	4	no	—
265	C₂×C₄⋊C₄	—	94	1	no	—
266	C₂×C₄⋊C₄	—	94	1	no	—
267	C₂×C₄⋊C₄	D₁₈₈	1	1	yes	characteristic
268	C₂×C₄²	—	2	1	no	—
269	C₂×C₄²	—	94	1	no	—
270	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
271	C₄⋊C₈	—	2	1	no	—
272	C₄⋊C₈	—	2	1	no	—
273	C₄⋊C₈	—	47	2	no	—
274	C₄⋊C₈	—	94	1	no	—
275	#102	—	94	4	no	—
276	#102	—	188	4	no	—
277	C₄×C₈	—	2	1	no	—
278	C₄×C₈	C₂²⋊D₄₇	1	2	yes	—
279	#95	—	94	4	no	—
280	#95	—	94	1	no	—
281	C₂⁴	—	188	1	no	—
282	C₂×Q₈	—	2	1	no	—
283	C₂×Q₈	—	2	1	no	—
284	C₂×Q₈	—	2	1	no	—
285	C₂×Q₈	—	2	1	no	—
286	C₂×Q₈	—	2	1	no	—
287	C₂×Q₈	—	94	2	no	—
288	C₂×Q₈	—	94	2	no	—
289	C₂×Q₈	—	188	4	no	—
290	C₂×Q₈	#10625325	1	2	yes	complemented
291	C₂×D₄	—	94	2	no	—
292	C₂×D₄	—	94	2	no	—
293	C₂×D₄	—	94	2	no	—
294	C₂×D₄	—	188	4	no	—
295	C₂×D₄	—	188	1	no	—
296	C₂×D₄	—	188	1	no	—
297	C₂×D₄	—	188	1	no	—
298	C₂×D₄	—	188	2	no	—
299	C₂×D₄	—	188	1	no	—
300	C₂×D₄	—	188	1	no	—
301	C₂×D₄	—	188	1	no	—
302	C₂×D₄	—	188	2	no	—
303	C₂×D₄	—	188	1	no	—
304	C₂²×C₄	—	2	1	no	—
305	C₂²×C₄	—	2	1	no	—
306	C₂²×C₄	—	94	2	no	—
307	C₂²×C₄	—	94	2	no	—
308	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
309	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
310	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
311	SD₁₆	—	188	16	no	—
312	SD₁₆	—	188	8	no	—
313	C₂×C₈	—	2	4	no	—
314	C₂×C₈	—	2	2	no	—
315	C₂×C₈	—	4	1	no	—
316	C₂×C₈	—	4	2	no	—
317	C₂×C₈	—	94	2	no	—
318	C₂×C₈	—	188	1	no	—
319	C₂×C₈	—	188	1	no	—
320	C₄⋊C₄	—	2	1	no	—
321	C₄⋊C₄	—	2	1	no	—
322	C₄⋊C₄	—	4	1	no	—
323	C₄⋊C₄	—	4	1	no	—
324	C₄⋊C₄	—	47	4	no	—
325	C₄⋊C₄	—	94	2	no	—
326	C₄⋊C₄	—	376	4	no	—
327	C₄⋊C₄	—	188	1	no	—
328	C₄⋊C₄	—	188	1	no	—
329	C₄⋊C₄	—	188	1	no	—
330	C₄⋊C₄	—	188	1	no	—
331	C₄²	—	4	1	no	—
332	C₄²	—	4	1	no	—
333	C₄²	—	188	1	no	—
334	C₄²	—	188	1	no	—
335	C₄²	#10625350	1	1	yes	characteristic
336	C₄²	D₄×D₄₇	1	1	yes	characteristic
337	C₄²	D₄×D₄₇	1	1	yes	characteristic
338	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
339	C₂³	—	376	2	no	—
340	C₂³	—	376	1	no	—
341	C₂³	—	376	1	no	—
342	C₂³	—	376	2	no	—
343	C₂³	—	188	2	no	—
344	C₂³	#13093994	1	1	yes	characteristic
345	Q₈	—	2	2	no	—
346	Q₈	—	2	2	no	—
347	Q₈	—	4	1	no	—
348	Q₈	—	4	1	no	—
349	Q₈	—	376	2	no	—
350	Q₈	—	188	4	no	—
351	D₄	—	376	2	no	—
352	D₄	—	376	1	no	—
353	D₄	—	376	1	no	—
354	D₄	—	376	1	no	—
355	D₄	—	376	1	no	—
356	D₄	—	188	4	no	—
357	D₄	—	188	2	no	—
358	D₄	—	188	2	no	—
359	D₄	—	188	4	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	2	2	no	—
362	C₂×C₄	—	4	1	no	—
363	C₂×C₄	—	4	1	no	—
364	C₂×C₄	—	4	1	no	—
365	C₂×C₄	—	4	2	no	—
366	C₂×C₄	—	94	4	no	—
367	C₂×C₄	—	188	2	no	—
368	C₂×C₄	—	188	4	no	—
369	C₂×C₄	—	188	2	no	—
370	C₂×C₄	—	188	2	no	—
371	C₂×C₄	#13093992	1	1	yes	characteristic
372	C₂×C₄	#13093994	1	1	yes	characteristic
373	C₂×C₄	#13093997	1	1	yes	characteristic
374	C₂×C₄	#13093997	1	1	yes	characteristic
375	C₂×C₄	#13093998	1	1	yes	characteristic
376	C₂×C₄	#13094020	1	1	yes	characteristic
377	C₂×C₄	SD₁₆×D₄₇	1	2	yes	—
378	C₂×C₄	C₂×#10625325	1	1	yes	characteristic
379	C₂×C₄	#13094046	1	1	yes	characteristic
380	C₂×C₄	#13094052	1	1	yes	characteristic
381	C₂×C₄	#13094056	1	2	yes	—
382	C₂×C₄	#13094057	1	1	yes	characteristic
383	C₈	—	2	4	no	—
384	C₈	—	8	1	no	—
385	C₈	—	188	2	no	—
386	C₂²	—	376	2	no	—
387	C₂²	—	376	2	no	—
388	C₂²	—	376	2	no	—
389	C₂²	—	752	2	no	—
390	C₂²	—	752	2	no	—
391	C₂²	#15689032	1	1	yes	characteristic
392	C₂²	#15689263	1	2	yes	—
393	C₂²	#15689264	1	1	yes	characteristic
394	C₂²	#15689270	1	1	yes	characteristic
395	C₂²	#15689292	1	2	yes	—
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	4	2	no	—
399	C₄	—	8	1	no	—
400	C₄	—	376	2	no	—
401	C₄	—	188	4	no	—
402	C₄	#15689276	1	1	yes	characteristic
403	C₄	#15689287	1	1	yes	characteristic
404	C₄	#15689327	1	2	yes	—
405	C₄	#15689352	1	1	yes	characteristic
406	C₄	#15689369	1	1	yes	characteristic
407	C₄	#15689494	1	1	yes	characteristic
408	C₄	#15689516	1	1	yes	characteristic
409	C₂	—	752	2	no	—
410	C₂	#20242463	1	2	yes	—
411	C₂	#20242468	1	2	yes	—
412	C₂	#20244393	1	1	yes	characteristic
413	C₂	#20244402	1	1	yes	characteristic
414	C₂	#20244472	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#13093994
commutator, cosocle	C₂×C₄²×C₄₇	C₂³
Frattini	C₂×C₄²	C₂²×D₄₇
Fitting	C₂×C₄₇×Q₈⋊C₈	C₂
socle	C₂³×C₄₇	#120
prime radical	C₂×#13094021	C₂²
hypercenter	C₂×Q₈⋊C₈	D₄₇
hypocenter	C₄₇	#10049
LCS	G ▷ C₂×C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×Q₈⋊C₈

Complements

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

N	H ≅ G/N	type
3. #20248593	C₂	semidirect
5. C₂×#15688871	C₂	semidirect
6. #20241228	C₂	semidirect
7. C₂×C₄₇×Q₈⋊C₈	C₂	semidirect
79. C₂×Q₈×C₄₇	SD₁₆	semidirect
123. C₄⋊Dic₄₇	SD₁₆	semidirect
207. C₂×Q₈⋊C₈	D₄₇	semidirect
236. C₄₇	#10049	semidirect
290. C₂×Q₈	#10625325	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689496	2
C₂×#15689323	2
#20248593	2
#20244314	2
C₂×#15688871	2
#20241228	2
C₂×C₄₇×Q₈⋊C₈	2
#10049	47