Subgroups — #26369621

Order 12032.

696 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	#20252264	C₂	1	1	yes	maximal, characteristic, complemented
2	#20252240	C₂	1	1	yes	maximal, characteristic, complemented
3	#20245264	C₂	1	2	yes	maximal, complemented
4	#20245253	C₂	1	2	yes	maximal, complemented
5	SD₃₂×Dic₄₇	C₂	1	2	yes	maximal, complemented
6	D₁₆×Dic₄₇	C₂	1	2	yes	maximal, complemented
7	#20245176	C₂	1	1	yes	maximal, characteristic, complemented
8	#20245095	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#15688924	C₂	1	1	yes	maximal, characteristic, complemented
10	#20244987	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₄₇×#509	C₂	1	1	yes	maximal, characteristic
12	#15689606	—	2	1	no	—
13	#15689598	—	2	1	no	—
14	C₂²×C₄₇⋊C₁₆	C₂²	1	1	yes	characteristic
15	#15689235	—	2	2	no	—
16	#15689224	—	2	2	no	—
17	Q₁₆×Dic₄₇	C₂²	1	2	yes	complemented
18	D₈×Dic₄₇	C₂²	1	2	yes	—
19	D₈×Dic₄₇	C₂²	1	2	yes	—
20	D₈×Dic₄₇	C₂²	1	2	yes	complemented
21	#15689161	C₂²	1	1	yes	characteristic
22	C₂×#13093958	C₂²	1	1	yes	characteristic
23	#15689128	—	2	1	no	—
24	#15689124	—	2	1	no	—
25	#15689078	C₂²	1	1	yes	characteristic
26	#15688951	C₂²	1	2	yes	complemented
27	#15688949	C₂²	1	2	yes	complemented
28	#15688927	C₂²	1	1	yes	characteristic, complemented
29	#15688927	C₂²	1	1	yes	characteristic, complemented
30	#15688924	C₂²	1	2	yes	—
31	#15688924	C₂²	1	2	yes	—
32	#15688924	C₂²	1	1	yes	characteristic, complemented
33	#15688924	C₂²	1	1	yes	characteristic, complemented
34	#15688898	C₂²	1	2	yes	complemented
35	C₁₆×Dic₄₇	C₂²	1	2	yes	complemented
36	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
37	C₂²×D₈×C₄₇	C₂²	1	1	yes	characteristic
38	C₄₇×#509	C₄	1	8	yes	complemented
39	C₂×SD₃₂×C₄₇	C₂²	1	2	yes	—
40	C₂×D₁₆×C₄₇	C₂²	1	2	yes	—
41	C₂×M₃₂×C₄₇	C₂²	1	1	yes	characteristic
42	C₂×#10625329	D₄	1	1	yes	characteristic
43	Q₈×Dic₄₇	—	2	2	no	—
44	D₄×Dic₄₇	—	2	2	no	—
45	D₄×Dic₄₇	—	2	2	no	—
46	D₄×Dic₄₇	—	2	2	no	—
47	D₄×Dic₄₇	—	4	2	no	—
48	D₄×Dic₄₇	—	4	1	no	—
49	D₄×Dic₄₇	—	4	1	no	—
50	#13093983	—	2	1	no	—
51	#13093983	—	4	1	no	—
52	#13093983	D₄	1	1	yes	characteristic
53	C₂×C₄⋊Dic₄₇	—	2	1	no	—
54	C₂×C₄⋊Dic₄₇	—	4	1	no	—
55	C₂×C₂²⋊Dic₄₇	—	4	2	no	—
56	C₂×C₄₇⋊C₁₆	—	2	2	no	—
57	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
58	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
59	#13093958	—	2	1	no	—
60	#13093958	C₂³	1	2	yes	—
61	#13093958	C₂³	1	1	yes	characteristic
62	#13093958	C₂³	1	1	yes	characteristic
63	#13093956	—	2	1	no	—
64	#13093948	—	2	2	no	—
65	#13093945	—	2	2	no	—
66	#13093945	—	2	2	no	—
67	#13093945	—	2	2	no	—
68	#13093934	D₄	1	2	yes	—
69	C₈×Dic₄₇	C₂³	1	2	yes	—
70	C₂×#41×C₄₇	—	2	1	no	—
71	C₂²×D₄×C₄₇	—	2	1	no	—
72	#135×C₄₇	—	2	2	no	—
73	#135×C₄₇	C₂×C₄	1	4	yes	complemented
74	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
75	C₂×SD₁₆×C₄₇	—	2	1	no	—
76	C₂×D₈×C₄₇	—	2	1	no	—
77	C₂×D₈×C₄₇	—	2	2	no	—
78	C₂×D₈×C₄₇	C₂×C₄	1	4	yes	complemented
79	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
80	C₂×D₈×C₄₇	C₂³	1	2	yes	—
81	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
82	SD₃₂×C₄₇	C₂×C₄	1	8	yes	complemented
83	D₁₆×C₄₇	C₂×C₄	1	8	yes	complemented
84	M₃₂×C₄₇	C₂×C₄	1	4	yes	complemented
85	C₂×C₁₆×C₄₇	C₂³	1	2	yes	—
86	C₂⁴×C₄₇	—	4	1	no	—
87	#41×C₄₇	—	2	4	no	—
88	#41×C₄₇	—	4	2	no	—
89	C₂×Q₈×C₄₇	—	2	1	no	—
90	C₂×D₄×C₄₇	—	2	4	no	—
91	C₂×D₄×C₄₇	—	2	2	no	—
92	C₂×D₄×C₄₇	—	2	1	no	—
93	C₂×D₄×C₄₇	—	4	1	no	—
94	C₂×D₄×C₄₇	—	4	1	no	—
95	C₂×D₄×C₄₇	—	4	2	no	—
96	C₂²×C₄×C₄₇	—	4	1	no	—
97	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
98	C₂²×Dic₄₇	—	4	1	no	—
99	C₂²×Dic₄₇	—	4	2	no	—
100	C₂²×Dic₄₇	—	4	2	no	—
101	C₂²×Dic₄₇	—	4	2	no	—
102	Q₁₆×C₄₇	—	2	1	no	—
103	Q₁₆×C₄₇	C₂²×C₄	1	2	yes	—
104	SD₁₆×C₄₇	—	2	4	no	—
105	D₈×C₄₇	—	2	4	no	—
106	D₈×C₄₇	—	2	2	no	—
107	D₈×C₄₇	—	2	1	no	—
108	D₈×C₄₇	C₂²×C₄	1	2	yes	—
109	D₈×C₄₇	C₂²×C₄	1	4	yes	—
110	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
111	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
112	C₂×C₈×C₄₇	#41	1	2	yes	—
113	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
114	C₂²⋊Dic₄₇	—	4	1	no	—
115	C₂²⋊Dic₄₇	—	4	2	no	—
116	C₂²⋊Dic₄₇	—	4	2	no	—
117	C₂²⋊Dic₄₇	—	4	2	no	—
118	C₂²⋊Dic₄₇	D₈	1	2	yes	—
119	C₄⋊Dic₄₇	—	2	1	no	—
120	C₄⋊Dic₄₇	—	2	1	no	—
121	C₄⋊Dic₄₇	—	2	2	no	—
122	C₄⋊Dic₄₇	—	4	1	no	—
123	C₄⋊Dic₄₇	—	4	2	no	—
124	C₄⋊Dic₄₇	D₈	1	1	yes	characteristic
125	C₄⋊Dic₄₇	D₈	1	1	yes	characteristic
126	C₄×Dic₄₇	—	4	1	no	—
127	C₄×Dic₄₇	—	4	2	no	—
128	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
129	#10625329	—	2	2	no	—
130	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
131	C₁₆×C₄₇	C₂²×C₄	1	4	yes	—
132	C₄₇⋊C₁₆	—	2	1	no	—
133	C₄₇⋊C₁₆	—	2	1	no	—
134	C₂³×C₄₇	—	4	1	no	—
135	C₂³×C₄₇	—	4	2	no	—
136	C₂³×C₄₇	—	4	4	no	—
137	C₂³×C₄₇	—	16	1	no	—
138	C₂³×C₄₇	—	16	1	no	—
139	C₂³×C₄₇	C₂×D₈	1	1	yes	characteristic
140	Q₈×C₄₇	—	2	2	no	—
141	Q₈×C₄₇	—	4	1	no	—
142	D₄×C₄₇	—	2	4	no	—
143	D₄×C₄₇	—	2	2	no	—
144	D₄×C₄₇	—	4	4	no	—
145	D₄×C₄₇	—	4	2	no	—
146	D₄×C₄₇	—	4	1	no	—
147	D₄×C₄₇	—	4	4	no	—
148	C₂×C₄×C₄₇	—	4	1	no	—
149	C₂×C₄×C₄₇	—	4	4	no	—
150	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
151	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
152	C₂×C₄×C₄₇	#135	1	2	yes	—
153	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
154	C₂×Dic₄₇	—	4	2	no	—
155	C₂×Dic₄₇	—	4	1	no	—
156	C₂×Dic₄₇	—	4	1	no	—
157	C₂×Dic₄₇	—	16	2	no	—
158	C₂×Dic₄₇	—	16	2	no	—
159	C₂×Dic₄₇	—	16	2	no	—
160	C₂×Dic₄₇	—	16	1	no	—
161	C₂×Dic₄₇	C₂×D₈	1	2	yes	—
162	C₂×Dic₄₇	C₂×D₈	1	2	yes	—
163	C₈×C₄₇	C₄×D₄	1	2	yes	—
164	C₈×C₄₇	C₂³×C₄	1	1	yes	characteristic
165	C₈×C₄₇	C₂×#41	1	1	yes	characteristic
166	C₄₇⋊C₈	—	2	2	no	—
167	#33454	—	47	1	no	maximal, Sylow
168	C₂²×C₄₇	—	2	1	no	—
169	C₂²×C₄₇	—	2	1	no	—
170	C₂²×C₄₇	—	4	2	no	—
171	C₂²×C₄₇	—	4	4	no	—
172	C₂²×C₄₇	—	8	1	no	—
173	C₂²×C₄₇	—	8	2	no	—
174	C₂²×C₄₇	—	8	2	no	—
175	C₂²×C₄₇	—	8	1	no	—
176	C₂²×C₄₇	—	16	4	no	—
177	C₂²×C₄₇	C₄×D₈	1	2	yes	—
178	C₂²×C₄₇	C₂²×D₈	1	1	yes	characteristic
179	C₄×C₄₇	—	4	2	no	—
180	C₄×C₄₇	C₄×D₈	1	2	yes	—
181	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
182	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
183	Dic₄₇	—	2	2	no	—
184	Dic₄₇	—	2	2	no	—
185	Dic₄₇	—	8	2	no	—
186	Dic₄₇	—	8	1	no	—
187	Dic₄₇	—	8	1	no	—
188	C₂×#509	D₄₇	1	1	yes	characteristic
189	#2951	—	47	1	no	—
190	#2948	—	47	1	no	—
191	#2177	—	47	2	no	—
192	#2175	—	47	2	no	—
193	C₄×SD₃₂	—	47	2	no	—
194	C₄×D₁₆	—	47	2	no	—
195	#2159	—	47	1	no	—
196	#2138	—	47	1	no	—
197	C₂×#357	—	47	1	no	—
198	#2108	—	47	1	no	—
199	C₂×C₄₇	—	2	2	no	—
200	C₂×C₄₇	—	8	2	no	—
201	C₂×C₄₇	—	8	4	no	—
202	C₂×C₄₇	C₂×C₄×D₈	1	1	yes	characteristic
203	C₂×C₄₇	#3415	1	1	yes	characteristic
204	C₂×C₄₇	#3416	1	1	yes	characteristic
205	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
206	C₂²×D₈	C₂×D₄₇	1	1	yes	characteristic
207	#520	—	94	1	no	—
208	#518	—	94	1	no	—
209	#509	Dic₄₇	1	8	yes	complemented
210	C₂×SD₃₂	C₂×D₄₇	1	2	yes	—
211	C₂×D₁₆	C₂×D₄₇	1	2	yes	—
212	C₂×M₃₂	C₂×D₄₇	1	1	yes	characteristic
213	C₂²×C₁₆	—	47	1	no	—
214	#442	—	94	2	no	—
215	#440	—	94	2	no	—
216	C₄×Q₁₆	—	47	2	no	—
217	C₄×D₈	—	47	2	no	—
218	C₄×D₈	—	47	2	no	—
219	C₄×D₈	—	47	2	no	—
220	#427	—	47	1	no	—
221	C₂×#107	—	47	1	no	—
222	#418	—	94	1	no	—
223	#417	—	94	1	no	—
224	#405	—	47	1	no	—
225	#367	—	47	2	no	—
226	#366	—	47	2	no	—
227	#358	—	47	1	no	—
228	#358	—	47	1	no	—
229	#357	—	47	2	no	—
230	#357	—	47	2	no	—
231	#357	—	47	1	no	—
232	#357	—	47	1	no	—
233	#346	—	47	2	no	—
234	C₄×C₁₆	—	47	2	no	—
235	C₄₇	#33454	1	1	yes	characteristic, complemented, Sylow
236	C₂×#41	—	2	1	no	—
237	C₂²×D₄	—	2	1	no	—
238	#135	—	2	2	no	—
239	#135	C₂×Dic₄₇	1	4	yes	complemented
240	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
241	C₂×SD₁₆	—	2	1	no	—
242	C₂×D₈	—	2	1	no	—
243	C₂×D₈	—	2	2	no	—
244	C₂×D₈	C₂×Dic₄₇	1	4	yes	complemented
245	C₂×D₈	C₂²×D₄₇	1	2	yes	—
246	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
247	C₂×M₁₆	—	47	1	no	—
248	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
249	C₄×Q₈	—	94	2	no	—
250	C₄×D₄	—	94	2	no	—
251	C₄×D₄	—	94	2	no	—
252	C₄×D₄	—	94	2	no	—
253	C₄×D₄	—	188	2	no	—
254	C₄×D₄	—	188	1	no	—
255	C₄×D₄	—	188	1	no	—
256	#117	—	47	1	no	—
257	#117	—	94	1	no	—
258	#117	—	188	1	no	—
259	C₂×C₄⋊C₄	—	94	1	no	—
260	C₂×C₄⋊C₄	—	188	1	no	—
261	C₂×C₂²⋊C₄	—	188	2	no	—
262	SD₃₂	C₂×Dic₄₇	1	8	yes	complemented
263	D₁₆	C₂×Dic₄₇	1	8	yes	complemented
264	M₃₂	C₂×Dic₄₇	1	4	yes	complemented
265	C₂×C₁₆	—	47	1	no	—
266	C₂×C₁₆	—	47	1	no	—
267	C₂×C₁₆	—	94	2	no	—
268	C₂×C₁₆	C₂²×D₄₇	1	2	yes	—
269	#107	—	47	2	no	—
270	#107	—	47	1	no	—
271	#107	—	47	1	no	—
272	#107	—	94	1	no	—
273	#106	—	94	1	no	—
274	#103	—	94	2	no	—
275	#102	—	94	2	no	—
276	#102	—	94	2	no	—
277	#102	—	94	2	no	—
278	#97	—	47	2	no	—
279	C₄×C₈	—	47	2	no	—
280	C₂⁴	—	4	1	no	—
281	#41	—	2	4	no	—
282	#41	—	4	2	no	—
283	C₂×Q₈	—	2	1	no	—
284	C₂×D₄	—	2	4	no	—
285	C₂×D₄	—	2	2	no	—
286	C₂×D₄	—	2	1	no	—
287	C₂×D₄	—	4	1	no	—
288	C₂×D₄	—	4	1	no	—
289	C₂×D₄	—	4	2	no	—
290	C₂²×C₄	—	4	1	no	—
291	C₂²×C₄	—	188	2	no	—
292	C₂²×C₄	—	188	2	no	—
293	C₂²×C₄	—	188	2	no	—
294	C₂²×C₄	—	188	1	no	—
295	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
296	Q₁₆	—	2	1	no	—
297	Q₁₆	C₂²×Dic₄₇	1	2	yes	—
298	SD₁₆	—	2	4	no	—
299	D₈	—	2	4	no	—
300	D₈	—	2	2	no	—
301	D₈	—	2	1	no	—
302	D₈	C₂²×Dic₄₇	1	2	yes	—
303	D₈	C₂²×Dic₄₇	1	4	yes	—
304	M₁₆	—	94	2	no	—
305	C₂×C₈	—	47	2	no	—
306	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
307	C₂×C₈	#10625352	1	2	yes	—
308	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
309	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
310	C₄⋊C₄	—	47	1	no	—
311	C₄⋊C₄	—	47	1	no	—
312	C₄⋊C₄	—	94	1	no	—
313	C₄⋊C₄	—	94	1	no	—
314	C₄⋊C₄	—	94	2	no	—
315	C₄⋊C₄	—	188	2	no	—
316	C₄⋊C₄	—	188	1	no	—
317	C₂²⋊C₄	—	47	2	no	—
318	C₂²⋊C₄	—	188	2	no	—
319	C₂²⋊C₄	—	188	2	no	—
320	C₂²⋊C₄	—	188	2	no	—
321	C₂²⋊C₄	—	188	1	no	—
322	C₄²	—	47	2	no	—
323	C₄²	—	188	2	no	—
324	C₄²	—	188	1	no	—
325	C₁₆	—	94	1	no	—
326	C₁₆	—	94	1	no	—
327	C₁₆	C₂²×Dic₄₇	1	4	yes	—
328	C₂³	—	4	1	no	—
329	C₂³	—	4	2	no	—
330	C₂³	—	4	4	no	—
331	C₂³	—	16	1	no	—
332	C₂³	—	16	1	no	—
333	C₂³	D₈×D₄₇	1	1	yes	characteristic
334	Q₈	—	2	2	no	—
335	Q₈	—	4	1	no	—
336	D₄	—	2	4	no	—
337	D₄	—	2	2	no	—
338	D₄	—	4	4	no	—
339	D₄	—	4	2	no	—
340	D₄	—	4	1	no	—
341	D₄	—	4	4	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	4	no	—
344	C₂×C₄	—	47	2	no	—
345	C₂×C₄	—	47	2	no	—
346	C₂×C₄	—	188	1	no	—
347	C₂×C₄	—	188	1	no	—
348	C₂×C₄	—	188	2	no	—
349	C₂×C₄	—	752	2	no	—
350	C₂×C₄	—	752	2	no	—
351	C₂×C₄	—	752	2	no	—
352	C₂×C₄	—	752	1	no	—
353	C₂×C₄	D₄×Dic₄₇	1	2	yes	—
354	C₂×C₄	D₈×D₄₇	1	1	yes	characteristic
355	C₂×C₄	#13094043	1	2	yes	—
356	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
357	C₈	—	94	2	no	—
358	C₈	D₄×Dic₄₇	1	2	yes	—
359	C₈	C₂³×Dic₄₇	1	1	yes	characteristic
360	C₈	C₂×#10625352	1	1	yes	characteristic
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	4	2	no	—
364	C₂²	—	4	4	no	—
365	C₂²	—	8	1	no	—
366	C₂²	—	8	2	no	—
367	C₂²	—	8	2	no	—
368	C₂²	—	8	1	no	—
369	C₂²	—	16	4	no	—
370	C₂²	D₈×Dic₄₇	1	2	yes	—
371	C₂²	C₂×D₈×D₄₇	1	1	yes	characteristic
372	C₄	—	4	2	no	—
373	C₄	—	94	2	no	—
374	C₄	—	94	2	no	—
375	C₄	—	376	1	no	—
376	C₄	—	376	2	no	—
377	C₄	—	376	1	no	—
378	C₄	D₈×Dic₄₇	1	2	yes	—
379	C₄	C₂×D₄×Dic₄₇	1	1	yes	characteristic
380	C₄	C₂×#13094043	1	1	yes	characteristic
381	C₂	—	2	2	no	—
382	C₂	—	8	4	no	—
383	C₂	—	8	2	no	—
384	C₂	C₂×D₈×Dic₄₇	1	1	yes	characteristic
385	C₂	#20256528	1	1	yes	characteristic
386	C₂	#20256534	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₈×D₄₇
commutator	C₈×C₄₇	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₄₇
Fitting, prime radical	C₂×C₄₇×#509	C₂
socle	C₂²×C₄₇	C₂²×D₈
cosocle	C₂×C₈×C₄₇	C₂⁴
hypercenter	C₂×#509	D₄₇
hypocenter	C₄₇	#33454
LCS	G ▷ C₈×C₄₇ ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂×#509

Complements

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

N	H ≅ G/N	type
1. #20252264	C₂	semidirect
2. #20252240	C₂	semidirect
3. #20245264	C₂	semidirect
4. #20245253	C₂	semidirect
5. SD₃₂×Dic₄₇	C₂	semidirect
6. D₁₆×Dic₄₇	C₂	semidirect
7. #20245176	C₂	semidirect
8. #20245095	C₂	semidirect
9. C₂×#15688924	C₂	semidirect
10. #20244987	C₂	semidirect
17. Q₁₆×Dic₄₇	C₂²	semidirect
20. D₈×Dic₄₇	C₂²	semidirect
26. #15688951	C₂²	semidirect
27. #15688949	C₂²	semidirect
28. #15688927	C₂²	semidirect
29. #15688927	C₂²	semidirect
32. #15688924	C₂²	semidirect
33. #15688924	C₂²	semidirect
34. #15688898	C₂²	semidirect
35. C₁₆×Dic₄₇	C₂²	semidirect
38. C₄₇×#509	C₄	semidirect
73. #135×C₄₇	C₂×C₄	semidirect
78. C₂×D₈×C₄₇	C₂×C₄	semidirect
82. SD₃₂×C₄₇	C₂×C₄	semidirect
83. D₁₆×C₄₇	C₂×C₄	semidirect
84. M₃₂×C₄₇	C₂×C₄	semidirect
209. #509	Dic₄₇	semidirect
235. C₄₇	#33454	semidirect
239. #135	C₂×Dic₄₇	semidirect
244. C₂×D₈	C₂×Dic₄₇	semidirect
262. SD₃₂	C₂×Dic₄₇	semidirect
263. D₁₆	C₂×Dic₄₇	semidirect
264. M₃₂	C₂×Dic₄₇	semidirect

Maximal subgroups

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

subgroup	index
#20252264	2
#20252240	2
#20245264	2
#20245253	2
SD₃₂×Dic₄₇	2
D₁₆×Dic₄₇	2
#20245176	2
#20245095	2
C₂×#15688924	2
#20244987	2
C₂×C₄₇×#509	2
#33454	47