Subgroups — #26186423

Order 12032.

638 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20253392	C₂	1	1	yes	maximal, characteristic
2	#20252483	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252411	C₂	1	1	yes	maximal, characteristic
4	#20242248	C₂	1	2	yes	maximal, complemented
5	#20242227	C₂	1	2	yes	maximal, complemented
6	#20242203	C₂	1	2	yes	maximal, complemented
7	#20242185	C₂	1	2	yes	maximal, complemented
8	#20242166	C₂	1	1	yes	maximal, characteristic, complemented
9	#20241832	C₂	1	1	yes	maximal, characteristic
10	#20241685	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#1485	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
13	#15689451	C₄	1	2	yes	—
14	#15689410	C₄	1	2	yes	—
15	#15689325	C₄	1	2	yes	—
16	#15689273	C₄	1	2	yes	—
17	#15689254	—	2	2	no	—
18	#15689254	C₂²	1	2	yes	complemented
19	Q₈×C₄₇⋊C₈	C₂²	1	2	yes	complemented
20	C₄×#10625336	C₂²	1	2	yes	—
21	C₄×#10625336	C₂²	1	2	yes	—
22	C₈×D₁₈₈	—	2	2	no	—
23	#15689188	C₂²	1	2	yes	—
24	#15689188	C₂²	1	2	yes	—
25	#15689184	—	2	2	no	—
26	#15689180	C₂²	1	1	yes	characteristic
27	#15689176	C₂²	1	1	yes	characteristic
28	#15689176	C₂²	1	1	yes	characteristic
29	C₂²⋊C₈×D₄₇	—	2	2	no	—
30	#15688875	C₂²	1	2	yes	complemented
31	#15688873	C₂²	1	2	yes	complemented
32	#15688852	C₂²	1	2	yes	—
33	#15688852	C₂²	1	2	yes	—
34	#15688845	C₂²	1	1	yes	characteristic, complemented
35	#15688845	C₂²	1	1	yes	characteristic, complemented
36	#15688844	C₂²	1	1	yes	characteristic, complemented
37	C₈×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
38	C₄₇×#533	C₂²	1	1	yes	characteristic
39	C₄₇×#431	C₂²	1	1	yes	characteristic
40	C₄×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
41	C₄₇×Q₈⋊C₈	C₂²	1	2	yes	complemented
42	C₄₇×Q₈⋊C₈	C₂²	1	2	yes	complemented
43	C₂²×D₁₈₈	C₂×C₄	1	1	yes	characteristic
44	C₂²×C₄×D₄₇	—	2	1	no	—
45	C₂×#10625336	C₂×C₄	1	2	yes	—
46	C₂×#10625336	C₂×C₄	1	2	yes	—
47	C₂×C₈×D₄₇	—	2	2	no	—
48	C₂×C₈×D₄₇	—	2	2	no	—
49	C₄×D₁₈₈	—	2	1	no	—
50	C₄×D₁₈₈	—	2	1	no	—
51	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
52	C₄×D₁₈₈	C₂³	1	2	yes	—
53	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
54	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
55	#13093955	C₂×C₄	1	2	yes	—
56	#13093955	C₂×C₄	1	2	yes	—
57	C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
58	C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
59	C₄⋊(C₄₇⋊C₈)	C₂×C₄	1	2	yes	—
60	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
61	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
62	#13093948	C₂×C₄	1	2	yes	—
63	#13093948	C₂×C₄	1	2	yes	—
64	#13093944	C₂×C₄	1	2	yes	—
65	#13093944	C₂×C₄	1	2	yes	—
66	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
67	C₂²⋊(C₄₇⋊C₈)	C₂×C₄	1	2	yes	—
68	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
69	(C₂×D₄₇)⋊C₈	—	2	2	no	—
70	(C₂×D₄₇)⋊C₈	—	2	2	no	—
71	#13093935	—	2	1	no	—
72	#13093935	—	2	2	no	—
73	C₄×C₄₇⋊C₈	—	2	2	no	—
74	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
75	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
76	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
77	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
78	C₂×M₁₆×C₄₇	—	2	1	no	—
79	C₄⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
80	C₄⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
81	#125×C₄₇	—	2	1	no	—
82	C₂²⋊Q₈×C₄₇	—	2	1	no	—
83	C₂²⋊Q₈×C₄₇	C₂×C₄	1	2	yes	—
84	C₄×Q₈×C₄₇	—	2	1	no	—
85	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
86	#117×C₄₇	—	2	1	no	—
87	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
89	C₂²⋊C₈×C₄₇	—	2	1	no	—
90	#97×C₄₇	—	2	1	no	—
91	C₄×C₈×C₄₇	—	2	1	no	—
92	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
93	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
94	C₂³×D₄₇	—	2	1	no	—
95	C₂×Q₈×C₄₇	—	2	1	no	—
96	C₂×Q₈×C₄₇	C₂²×C₄	1	2	yes	—
97	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
100	C₂²×Dic₄₇	—	2	1	no	—
101	C₂×D₁₈₈	—	2	1	no	—
102	C₂×D₁₈₈	—	2	4	no	—
103	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
104	C₂×C₄×D₄₇	—	2	2	no	—
105	C₂×C₄×D₄₇	—	2	2	no	—
106	C₂×C₄×D₄₇	—	8	2	no	—
107	M₁₆×C₄₇	—	4	2	no	—
108	C₂×C₈×C₄₇	—	2	1	no	—
109	C₂×C₈×C₄₇	—	2	2	no	—
110	C₂×C₈×C₄₇	—	2	1	no	—
111	C₄⋊C₄×C₄₇	—	2	1	no	—
112	C₄⋊C₄×C₄₇	—	2	1	no	—
113	C₄⋊C₄×C₄₇	—	2	1	no	—
114	C₄⋊C₄×C₄₇	—	2	2	no	—
115	C₄⋊C₄×C₄₇	—	2	2	no	—
116	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
117	C₂²⋊C₄×C₄₇	—	2	2	no	—
118	C₄²×C₄₇	—	2	2	no	—
119	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
120	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
121	C₄²×C₄₇	#41	1	1	yes	characteristic
122	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
123	#10625336	—	2	4	no	—
124	#10625336	—	2	4	no	—
125	(C₂×D₄₇)⋊C₄	—	2	2	no	—
126	(C₂×D₄₇)⋊C₄	—	2	2	no	—
127	C₄⋊Dic₄₇	—	2	1	no	—
128	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
129	C₂×C₄₇⋊C₈	—	2	2	no	—
130	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
131	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
132	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
133	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
134	C₈×D₄₇	—	8	2	no	—
135	C₈×D₄₇	—	8	2	no	—
136	C₂³×C₄₇	C₄×D₄	1	1	yes	characteristic
137	C₂²×D₄₇	—	2	2	no	—
138	C₂²×D₄₇	—	2	4	no	—
139	C₂²×D₄₇	—	8	1	no	—
140	C₂²×D₄₇	—	8	1	no	—
141	Q₈×C₄₇	—	2	2	no	—
142	Q₈×C₄₇	—	2	2	no	—
143	Q₈×C₄₇	—	8	1	no	—
144	C₂×C₄×C₄₇	—	2	2	no	—
145	C₂×C₄×C₄₇	—	2	2	no	—
146	C₂×C₄×C₄₇	—	2	2	no	—
147	C₂×C₄×C₄₇	—	2	2	no	—
148	C₂×C₄×C₄₇	—	4	1	no	—
149	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
150	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
151	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
152	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
153	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
155	C₂×Dic₄₇	—	2	2	no	—
156	C₂×Dic₄₇	—	8	1	no	—
157	D₁₈₈	—	2	4	no	—
158	D₁₈₈	—	2	2	no	—
159	D₁₈₈	#131	1	4	yes	—
160	C₄×D₄₇	—	4	2	no	—
161	C₄×D₄₇	—	4	2	no	—
162	C₄×D₄₇	—	8	2	no	—
163	C₈×C₄₇	—	2	2	no	—
164	C₈×C₄₇	—	4	1	no	—
165	C₈×C₄₇	—	4	2	no	—
166	C₄₇⋊C₈	—	2	2	no	—
167	C₄₇⋊C₈	—	2	2	no	—
168	C₄₇⋊C₈	—	2	2	no	—
169	C₄₇⋊C₈	—	2	2	no	—
170	C₄₇⋊C₈	—	4	2	no	—
171	#17924	—	47	1	no	maximal, Sylow
172	C₂²×C₄₇	—	2	1	no	—
173	C₂²×C₄₇	—	2	1	no	—
174	C₂²×C₄₇	—	2	1	no	—
175	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
176	C₂×D₄₇	—	2	4	no	—
177	C₂×D₄₇	—	4	2	no	—
178	C₂×D₄₇	—	4	2	no	—
179	C₂×D₄₇	—	8	4	no	—
180	C₄×C₄₇	—	2	1	no	—
181	C₄×C₄₇	—	2	1	no	—
182	C₄×C₄₇	—	2	1	no	—
183	C₄×C₄₇	—	2	1	no	—
184	C₄×C₄₇	—	4	2	no	—
185	C₄×C₄₇	—	4	2	no	—
186	C₄×C₄₇	C₂×#131	1	2	yes	—
187	C₄×C₄₇	#577	1	2	yes	—
188	Dic₄₇	—	4	2	no	—
189	#3101	—	47	1	no	—
190	#2985	—	47	1	no	—
191	#2972	—	47	1	no	—
192	#1585	—	47	2	no	—
193	#1582	—	47	2	no	—
194	SD₁₆⋊C₈	—	47	2	no	—
195	C₈×SD₁₆	—	47	2	no	—
196	#1572	—	47	1	no	—
197	#1490	—	47	1	no	—
198	#1485	D₄₇	1	1	yes	characteristic, complemented
199	#1453	—	47	1	no	—
200	C₂×C₄₇	—	4	1	no	—
201	C₂×C₄₇	#2929	1	1	yes	characteristic
202	C₂×C₄₇	#2949	1	1	yes	characteristic
203	C₂×C₄₇	#2956	1	1	yes	characteristic
204	D₄₇	—	4	4	no	—
205	#533	C₂×D₄₇	1	1	yes	characteristic
206	C₂×C₄×D₄	—	47	1	no	—
207	#483	—	47	2	no	—
208	#476	—	47	2	no	—
209	#461	—	47	2	no	—
210	#450	—	47	2	no	—
211	#446	—	47	2	no	—
212	#446	—	94	2	no	—
213	C₈×Q₈	—	47	2	no	—
214	C₄×SD₁₆	—	47	2	no	—
215	C₄×SD₁₆	—	47	2	no	—
216	C₈×D₄	—	47	2	no	—
217	C₈×D₄	—	47	2	no	—
218	C₈×D₄	—	94	2	no	—
219	#433	—	94	2	no	—
220	#432	—	47	1	no	—
221	#431	—	47	1	no	—
222	#431	—	47	1	no	—
223	#431	C₂×D₄₇	1	1	yes	characteristic
224	C₂×C₂²⋊C₈	—	94	2	no	—
225	C₄×M₁₆	C₂×D₄₇	1	1	yes	characteristic
226	#335	—	47	2	no	—
227	#334	—	47	2	no	—
228	Q₈⋊C₈	C₂×D₄₇	1	2	yes	complemented
229	Q₈⋊C₈	C₂×D₄₇	1	2	yes	complemented
230	D₄⋊C₈	—	47	2	no	—
231	D₄⋊C₈	—	47	2	no	—
232	#322	—	47	1	no	—
233	#322	—	47	1	no	—
234	#322	—	47	1	no	—
235	C₈²	—	47	1	no	—
236	C₄₇	#17924	1	1	yes	characteristic, complemented, Sylow
237	C₂²×D₄	—	47	1	no	—
238	C₂³×C₄	—	94	1	no	—
239	C₂×SD₁₆	—	47	2	no	—
240	C₂×SD₁₆	—	47	2	no	—
241	C₂×M₁₆	—	2	1	no	—
242	C₂²×C₈	—	94	2	no	—
243	C₂²×C₈	—	94	2	no	—
244	C₄⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
245	C₄⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
246	#125	—	2	1	no	—
247	C₂²⋊Q₈	—	2	1	no	—
248	C₂²⋊Q₈	C₄×D₄₇	1	2	yes	—
249	C₄×Q₈	—	2	1	no	—
250	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
251	C₄×D₄	—	47	2	no	—
252	C₄×D₄	—	47	2	no	—
253	C₄×D₄	—	94	1	no	—
254	C₄×D₄	—	94	1	no	—
255	#117	—	2	1	no	—
256	C₂×C₄⋊C₄	—	47	1	no	—
257	C₂×C₂²⋊C₄	—	94	1	no	—
258	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
259	#106	—	47	2	no	—
260	#106	—	47	2	no	—
261	C₄⋊C₈	—	47	2	no	—
262	C₄⋊C₈	—	47	2	no	—
263	C₄⋊C₈	—	47	2	no	—
264	C₄⋊C₈	—	94	2	no	—
265	C₄⋊C₈	—	94	2	no	—
266	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
267	#103	—	47	2	no	—
268	#103	—	47	2	no	—
269	#102	—	47	2	no	—
270	#102	—	47	2	no	—
271	C₂²⋊C₈	—	2	1	no	—
272	C₂²⋊C₈	—	47	2	no	—
273	C₂²⋊C₈	—	47	2	no	—
274	C₂²⋊C₈	—	94	2	no	—
275	C₂²⋊C₈	—	94	2	no	—
276	C₂²⋊C₈	—	94	1	no	—
277	#97	—	2	1	no	—
278	#97	—	94	2	no	—
279	#97	—	94	1	no	—
280	C₄×C₈	—	2	1	no	—
281	C₄×C₈	—	47	1	no	—
282	C₄×C₈	—	47	1	no	—
283	C₄×C₈	—	47	1	no	—
284	C₄×C₈	—	47	1	no	—
285	C₄×C₈	—	94	2	no	—
286	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
287	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
288	C₂⁴	—	94	1	no	—
289	C₂×Q₈	—	2	1	no	—
290	C₂×Q₈	C₂×C₄×D₄₇	1	2	yes	—
291	C₂×D₄	—	47	2	no	—
292	C₂×D₄	—	94	4	no	—
293	C₂×D₄	—	94	1	no	—
294	C₂²×C₄	—	94	1	no	—
295	C₂²×C₄	—	94	2	no	—
296	C₂²×C₄	—	94	2	no	—
297	C₂²×C₄	—	376	2	no	—
298	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
299	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
300	C₂²×C₄	#10625352	1	1	yes	characteristic
301	SD₁₆	—	94	4	no	—
302	SD₁₆	—	94	4	no	—
303	M₁₆	—	4	2	no	—
304	C₂×C₈	—	2	1	no	—
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	—	2	1	no	—
307	C₂×C₈	—	47	2	no	—
308	C₂×C₈	—	47	2	no	—
309	C₂×C₈	—	47	2	no	—
310	C₂×C₈	—	47	2	no	—
311	C₂×C₈	—	94	2	no	—
312	C₂×C₈	—	376	2	no	—
313	C₂×C₈	—	376	2	no	—
314	C₄⋊C₄	—	2	1	no	—
315	C₄⋊C₄	—	2	1	no	—
316	C₄⋊C₄	—	2	1	no	—
317	C₄⋊C₄	—	2	2	no	—
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	47	2	no	—
320	C₄⋊C₄	—	94	1	no	—
321	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
322	C₂²⋊C₄	—	2	2	no	—
323	C₂²⋊C₄	—	94	2	no	—
324	C₂²⋊C₄	—	94	2	no	—
325	C₄²	—	2	2	no	—
326	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
327	C₄²	D₄×D₄₇	1	1	yes	characteristic
328	C₄²	#10625352	1	1	yes	characteristic
329	C₄²	C₂³×D₄₇	1	1	yes	characteristic
330	C₂³	—	94	4	no	—
331	C₂³	—	94	2	no	—
332	C₂³	—	376	1	no	—
333	C₂³	—	376	1	no	—
334	C₂³	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
335	Q₈	—	2	2	no	—
336	Q₈	—	2	2	no	—
337	Q₈	—	8	1	no	—
338	D₄	—	47	4	no	—
339	D₄	—	94	4	no	—
340	D₄	—	94	2	no	—
341	C₂×C₄	—	2	2	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	2	2	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	94	2	no	—
347	C₂×C₄	—	376	2	no	—
348	C₂×C₄	—	376	1	no	—
349	C₂×C₄	—	188	2	no	—
350	C₂×C₄	—	188	2	no	—
351	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
352	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
353	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
354	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
355	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
356	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
357	C₈	—	2	2	no	—
358	C₈	—	4	1	no	—
359	C₈	—	4	2	no	—
360	C₈	—	94	2	no	—
361	C₈	—	94	2	no	—
362	C₈	—	94	2	no	—
363	C₈	—	94	2	no	—
364	C₈	—	188	2	no	—
365	C₂²	—	2	1	no	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	94	4	no	—
369	C₂²	—	376	4	no	—
370	C₂²	—	188	2	no	—
371	C₂²	—	188	2	no	—
372	C₂²	C₂×(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	2	1	no	—
376	C₄	—	2	1	no	—
377	C₄	—	4	2	no	—
378	C₄	—	4	2	no	—
379	C₄	—	188	2	no	—
380	C₄	#131×D₄₇	1	2	yes	—
381	C₄	#15689932	1	2	yes	—
382	C₂	—	4	1	no	—
383	C₂	—	188	4	no	—
384	C₂	#20252085	1	1	yes	characteristic
385	C₂	#20252243	1	1	yes	characteristic
386	C₂	#20252294	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#1485	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	C₂²×D₁₈₈	C₂×C₄
cosocle	C₄²×C₄₇	C₂⁴
hypercenter	#1485	D₄₇
hypocenter	C₄₇	#17924
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1485

Complements

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

N	H ≅ G/N	type
2. #20252483	C₂	semidirect
4. #20242248	C₂	semidirect
5. #20242227	C₂	semidirect
6. #20242203	C₂	semidirect
7. #20242185	C₂	semidirect
8. #20242166	C₂	semidirect
10. #20241685	C₂	semidirect
11. C₄₇×#1485	C₂	semidirect
18. #15689254	C₂²	semidirect
19. Q₈×C₄₇⋊C₈	C₂²	semidirect
30. #15688875	C₂²	semidirect
31. #15688873	C₂²	semidirect
34. #15688845	C₂²	semidirect
35. #15688845	C₂²	semidirect
36. #15688844	C₂²	semidirect
37. C₈×C₄₇⋊C₈	C₂²	semidirect
41. C₄₇×Q₈⋊C₈	C₂²	semidirect
42. C₄₇×Q₈⋊C₈	C₂²	semidirect
198. #1485	D₄₇	semidirect
228. Q₈⋊C₈	C₂×D₄₇	semidirect
229. Q₈⋊C₈	C₂×D₄₇	semidirect
236. C₄₇	#17924	semidirect

Maximal subgroups

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

subgroup	index
#20253392	2
#20252483	2
#20252411	2
#20242248	2
#20242227	2
#20242203	2
#20242185	2
#20242166	2
#20241832	2
#20241685	2
C₄₇×#1485	2
#17924	47