Subgroups — #26204192

Order 12032.

708 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254536	C₂	1	1	yes	maximal, characteristic, complemented
2	#20254509	C₂	1	1	yes	maximal, characteristic
3	#20253948	C₂	1	1	yes	maximal, characteristic
4	#20253782	C₂	1	1	yes	maximal, characteristic
5	C₂×#15689475	C₂	1	1	yes	maximal, characteristic, complemented
6	#20243042	C₂	1	2	yes	maximal, complemented
7	#20243035	C₂	1	2	yes	maximal, complemented
8	#20243001	C₂	1	2	yes	maximal, complemented
9	#20242996	C₂	1	2	yes	maximal, complemented
10	M₁₆×C₄₇⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#3139	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689673	C₂²	1	1	yes	characteristic
13	C₂×#13094024	C₂²	1	1	yes	characteristic
14	#15689526	C₂²	1	2	yes	—
15	#15689526	C₂²	1	2	yes	—
16	#15689519	C₂²	1	1	yes	characteristic
17	#15689497	C₂²	1	1	yes	characteristic
18	#15689483	—	2	2	no	—
19	#15689475	—	2	2	no	—
20	#15689475	C₂²	1	2	yes	—
21	#15689475	C₂²	1	2	yes	—
22	#15689474	C₂²	1	2	yes	—
23	#15689473	C₂²	1	1	yes	characteristic
24	#15689473	C₂²	1	2	yes	—
25	#15689471	C₂²	1	2	yes	—
26	#15689471	C₂²	1	1	yes	characteristic
27	#15689470	C₂²	1	2	yes	—
28	#15689456	—	2	2	no	—
29	#15689436	—	2	2	no	—
30	#15689418	—	2	2	no	—
31	#15689400	—	2	2	no	—
32	#15689354	—	2	2	no	—
33	C₄×#10625336	—	2	2	no	—
34	#15689176	C₂²	1	1	yes	characteristic
35	#15689125	—	2	2	no	—
36	C₂×#13093947	—	2	2	no	—
37	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
38	#15688844	C₂²	1	2	yes	—
39	C₈×C₄₇⋊C₈	C₂²	1	2	yes	—
40	C₄₇×#533	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
42	C₄₇×#491	—	2	2	no	—
43	C₄₇×#487	C₂²	1	2	yes	—
44	C₄₇×#487	C₂²	1	2	yes	—
45	C₄₇×#419	—	2	2	no	—
46	C₄×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
47	C₂×#10625350	—	2	1	no	—
48	C₂²×Dic₉₄	—	2	1	no	—
49	C₂×#10625336	—	2	2	no	—
50	C₂²×C₄₇⋊C₈	D₄	1	2	yes	—
51	#13094024	—	2	1	no	—
52	#13094024	—	2	1	no	—
53	#13094024	—	2	1	no	—
54	#13094024	C₂³	1	1	yes	characteristic
55	#13094024	C₂³	1	2	yes	—
56	#13094021	C₂³	1	1	yes	characteristic
57	#13094012	—	2	1	no	—
58	#13093998	—	2	1	no	—
59	#13093998	—	2	1	no	—
60	C₄×D₁₈₈	—	2	1	no	—
61	C₄×D₁₈₈	—	2	1	no	—
62	C₂×C₄⋊Dic₄₇	—	2	1	no	—
63	C₂×C₄⋊Dic₄₇	—	2	1	no	—
64	#13093957	—	2	4	no	—
65	#13093957	—	2	4	no	—
66	#13093955	—	2	2	no	—
67	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
68	#13093949	—	2	4	no	—
69	#13093948	—	2	2	no	—
70	#13093948	—	2	4	no	—
71	#13093947	—	2	4	no	—
72	#13093947	—	2	4	no	—
73	#13093946	—	2	4	no	—
74	#13093944	—	2	2	no	—
75	#13093944	—	2	4	no	—
76	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
77	C₄×C₄₇⋊C₈	D₄	1	2	yes	—
78	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
79	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
80	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
81	C₂²×Q₈×C₄₇	—	2	1	no	—
82	C₂×M₁₆×C₄₇	D₄	1	2	yes	—
83	C₄⋊Q₈×C₄₇	—	2	1	no	—
84	C₄⋊Q₈×C₄₇	—	2	1	no	—
85	C₄⋊Q₈×C₄₇	—	2	1	no	—
86	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
87	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
88	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	—
89	#125×C₄₇	—	2	1	no	—
90	C₂²⋊Q₈×C₄₇	—	2	1	no	—
91	C₂²⋊Q₈×C₄₇	—	2	1	no	—
92	C₄×Q₈×C₄₇	—	2	1	no	—
93	C₄×Q₈×C₄₇	—	2	1	no	—
94	#117×C₄₇	—	2	1	no	—
95	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
96	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
97	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
98	#103×C₄₇	—	2	4	no	—
99	#103×C₄₇	—	2	4	no	—
100	#97×C₄₇	D₄	1	2	yes	—
101	C₄×C₈×C₄₇	C₂³	1	2	yes	—
102	C₂×Q₈×C₄₇	—	2	2	no	—
103	C₂×Q₈×C₄₇	—	2	1	no	—
104	C₂×Q₈×C₄₇	—	2	1	no	—
105	C₂×Q₈×C₄₇	—	4	1	no	—
106	C₂×Q₈×C₄₇	—	4	4	no	—
107	C₂²×C₄×C₄₇	—	4	1	no	—
108	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
109	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
110	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
111	C₂×C₂²⋊D₄₇	—	4	1	no	—
112	C₂²×Dic₄₇	—	4	1	no	—
113	#10625350	—	4	4	no	—
114	C₂×D₁₈₈	—	2	1	no	—
115	C₂×D₁₈₈	—	2	1	no	—
116	C₂×D₁₈₈	—	2	1	no	—
117	C₂×C₄×D₄₇	—	4	1	no	—
118	C₂×Dic₉₄	—	2	2	no	—
119	C₂×Dic₉₄	—	2	1	no	—
120	C₂×Dic₉₄	—	4	4	no	—
121	C₂×Dic₉₄	—	4	1	no	—
122	M₁₆×C₄₇	—	2	4	no	—
123	C₂×C₈×C₄₇	C₂×D₄	1	4	yes	—
124	C₄⋊C₄×C₄₇	—	2	1	no	—
125	C₄⋊C₄×C₄₇	—	2	1	no	—
126	C₄⋊C₄×C₄₇	—	2	2	no	—
127	C₄⋊C₄×C₄₇	—	2	2	no	—
128	C₄⋊C₄×C₄₇	—	2	1	no	—
129	C₄⋊C₄×C₄₇	—	2	1	no	—
130	C₄⋊C₄×C₄₇	—	4	1	no	—
131	C₄⋊C₄×C₄₇	—	4	1	no	—
132	C₄⋊C₄×C₄₇	—	4	1	no	—
133	C₄⋊C₄×C₄₇	—	4	1	no	—
134	C₂²⋊C₄×C₄₇	—	4	1	no	—
135	C₄²×C₄₇	—	4	1	no	—
136	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
137	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
138	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
139	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
140	#10625336	—	4	4	no	—
141	(C₂×D₄₇)⋊C₄	—	4	1	no	—
142	(C₂×D₄₇)⋊C₄	—	4	1	no	—
143	C₄⋊Dic₄₇	—	2	2	no	—
144	C₄⋊Dic₄₇	—	2	1	no	—
145	C₄⋊Dic₄₇	—	2	2	no	—
146	C₄⋊Dic₄₇	—	2	1	no	—
147	C₄⋊Dic₄₇	—	4	1	no	—
148	C₄⋊Dic₄₇	—	4	1	no	—
149	C₂×C₄₇⋊C₈	—	4	2	no	—
150	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
151	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
152	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
153	C₂³×C₄₇	#127	1	1	yes	characteristic
154	C₂²×D₄₇	—	4	1	no	—
155	Q₈×C₄₇	—	4	4	no	—
156	Q₈×C₄₇	—	4	2	no	—
157	Q₈×C₄₇	—	4	2	no	—
158	Q₈×C₄₇	—	8	2	no	—
159	C₂×C₄×C₄₇	—	2	2	no	—
160	C₂×C₄×C₄₇	—	2	2	no	—
161	C₂×C₄×C₄₇	—	4	1	no	—
162	C₂×C₄×C₄₇	—	4	1	no	—
163	C₂×C₄×C₄₇	—	4	2	no	—
164	C₂×C₄×C₄₇	—	8	2	no	—
165	C₂×C₄×C₄₇	#127	1	1	yes	characteristic
166	C₂×C₄×C₄₇	#127	1	1	yes	characteristic
167	C₂×C₄×C₄₇	#127	1	1	yes	characteristic
168	C₂×C₄×C₄₇	#135	1	4	yes	—
169	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
170	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
172	C₂²⋊D₄₇	—	8	2	no	—
173	C₂×Dic₄₇	—	4	2	no	—
174	C₂×Dic₄₇	—	4	1	no	—
175	C₂×Dic₄₇	—	8	2	no	—
176	D₁₈₈	—	4	2	no	—
177	D₁₈₈	—	4	2	no	—
178	D₁₈₈	—	4	2	no	—
179	C₄×D₄₇	—	8	2	no	—
180	Dic₉₄	—	4	2	no	—
181	Dic₉₄	—	4	4	no	—
182	Dic₉₄	—	8	2	no	—
183	C₈×C₄₇	—	2	4	no	—
184	C₄₇⋊C₈	—	2	2	no	—
185	C₄₇⋊C₈	—	2	2	no	—
186	C₄₇⋊C₈	—	2	4	no	—
187	#19628	—	47	1	no	maximal, Sylow
188	C₂²×C₄₇	—	2	1	no	—
189	C₂²×C₄₇	—	2	1	no	—
190	C₂²×C₄₇	#495	1	2	yes	—
191	C₂²×C₄₇	C₂×#127	1	1	yes	characteristic
192	C₂×D₄₇	—	8	1	no	—
193	C₂×D₄₇	—	8	1	no	—
194	C₂×D₄₇	—	8	1	no	—
195	C₄×C₄₇	—	2	1	no	—
196	C₄×C₄₇	—	2	1	no	—
197	C₄×C₄₇	—	8	2	no	—
198	C₄×C₄₇	—	8	1	no	—
199	C₄×C₄₇	—	8	1	no	—
200	C₄×C₄₇	#495	1	2	yes	—
201	C₄×C₄₇	C₂×#135	1	2	yes	—
202	C₄×C₄₇	#575	1	2	yes	—
203	C₄×C₄₇	#578	1	2	yes	—
204	Dic₄₇	—	8	1	no	—
205	Dic₄₇	—	8	2	no	—
206	#3230	—	47	1	no	—
207	#3226	—	47	1	no	—
208	#3167	—	47	1	no	—
209	#3141	—	47	1	no	—
210	#3139	D₄₇	1	1	yes	characteristic, complemented
211	C₂×#487	—	47	1	no	—
212	#1719	—	47	2	no	—
213	#1718	—	47	2	no	—
214	#1711	—	47	2	no	—
215	#1710	—	47	2	no	—
216	C₈×M₁₆	—	47	1	no	—
217	C₂×C₄₇	—	2	2	no	—
218	C₂×C₄₇	C₂×#495	1	1	yes	characteristic
219	C₂×C₄₇	#3153	1	1	yes	characteristic
220	C₂×C₄₇	#3156	1	1	yes	characteristic
221	D₄₇	—	16	1	no	—
222	#533	C₂×D₄₇	1	1	yes	characteristic
223	#532	—	47	1	no	—
224	C₂×C₄⋊Q₈	—	47	1	no	—
225	C₂×C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
226	#500	—	47	2	no	—
227	#500	—	47	2	no	—
228	#498	—	47	1	no	—
229	#492	—	47	1	no	—
230	#491	—	2	2	no	—
231	#489	—	94	2	no	—
232	#487	—	47	1	no	—
233	#487	—	47	2	no	—
234	#487	—	47	2	no	—
235	#487	—	47	2	no	—
236	#487	—	47	2	no	—
237	#487	—	94	2	no	—
238	#487	C₂×D₄₇	1	2	yes	—
239	#487	C₂×D₄₇	1	2	yes	—
240	#486	—	47	1	no	—
241	#486	—	47	2	no	—
242	#486	—	47	2	no	—
243	#484	—	94	2	no	—
244	#480	—	94	2	no	—
245	#477	—	94	2	no	—
246	#474	—	94	2	no	—
247	#465	—	94	2	no	—
248	C₄×SD₁₆	—	94	2	no	—
249	#431	—	47	1	no	—
250	#419	—	2	2	no	—
251	#417	—	94	2	no	—
252	C₂×#103	—	94	2	no	—
253	C₄×M₁₆	C₂×D₄₇	1	1	yes	characteristic
254	C₂×C₄×C₈	—	47	1	no	—
255	#322	—	47	2	no	—
256	C₈²	—	47	2	no	—
257	C₄₇	#19628	1	1	yes	characteristic, complemented, Sylow
258	C₂×#41	—	94	1	no	—
259	C₂²×Q₈	—	2	1	no	—
260	C₂²×Q₈	—	94	1	no	—
261	C₂×SD₁₆	—	94	2	no	—
262	C₂×M₁₆	C₂²⋊D₄₇	1	2	yes	—
263	C₂²×C₈	—	47	2	no	—
264	C₄⋊Q₈	—	2	1	no	—
265	C₄⋊Q₈	—	2	1	no	—
266	C₄⋊Q₈	—	2	1	no	—
267	C₄⋊Q₈	—	47	2	no	—
268	C₄⋊Q₈	—	47	1	no	—
269	C₄⋊Q₈	—	94	1	no	—
270	C₄⋊Q₈	—	94	1	no	—
271	C₄⋊Q₈	—	94	1	no	—
272	C₄⋊Q₈	C₂²×D₄₇	1	2	yes	—
273	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
274	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
275	#127	—	47	1	no	—
276	#125	—	2	1	no	—
277	#124	—	94	1	no	—
278	C₂²⋊Q₈	—	2	1	no	—
279	C₂²⋊Q₈	—	2	1	no	—
280	#121	—	94	1	no	—
281	#121	—	94	1	no	—
282	C₄×Q₈	—	2	1	no	—
283	C₄×Q₈	—	2	1	no	—
284	C₄×D₄	—	94	1	no	—
285	C₄×D₄	—	94	1	no	—
286	#117	—	2	1	no	—
287	C₂×C₄⋊C₄	—	2	1	no	—
288	C₂×C₄⋊C₄	—	2	1	no	—
289	C₂×C₄⋊C₄	—	94	1	no	—
290	C₂×C₄⋊C₄	—	94	1	no	—
291	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
292	#107	—	94	4	no	—
293	#107	—	94	4	no	—
294	#106	—	94	2	no	—
295	C₄⋊C₈	—	47	2	no	—
296	#103	—	2	4	no	—
297	#103	—	2	4	no	—
298	#103	—	94	4	no	—
299	#103	—	94	4	no	—
300	#103	—	94	2	no	—
301	#103	—	94	4	no	—
302	#103	—	94	4	no	—
303	#102	—	94	2	no	—
304	#102	—	94	4	no	—
305	#102	—	94	4	no	—
306	C₂²⋊C₈	—	47	2	no	—
307	#97	C₂²⋊D₄₇	1	2	yes	—
308	C₄×C₈	—	47	2	no	—
309	C₄×C₈	—	47	1	no	—
310	C₄×C₈	—	47	2	no	—
311	C₄×C₈	—	47	1	no	—
312	C₄×C₈	C₂²×D₄₇	1	2	yes	—
313	#41	—	188	4	no	—
314	C₂×Q₈	—	2	1	no	—
315	C₂×Q₈	—	2	1	no	—
316	C₂×Q₈	—	2	2	no	—
317	C₂×Q₈	—	4	1	no	—
318	C₂×Q₈	—	4	4	no	—
319	C₂×Q₈	—	94	2	no	—
320	C₂×Q₈	—	94	1	no	—
321	C₂×Q₈	—	188	4	no	—
322	C₂×Q₈	—	188	1	no	—
323	C₂×D₄	—	94	1	no	—
324	C₂×D₄	—	94	1	no	—
325	C₂×D₄	—	94	1	no	—
326	C₂×D₄	—	188	1	no	—
327	C₂²×C₄	—	4	1	no	—
328	C₂²×C₄	—	188	1	no	—
329	C₂²×C₄	—	188	1	no	—
330	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
331	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
332	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
333	SD₁₆	—	188	4	no	—
334	M₁₆	—	2	4	no	—
335	C₂×C₈	—	47	2	no	—
336	C₂×C₈	—	47	2	no	—
337	C₂×C₈	—	47	4	no	—
338	C₂×C₈	—	188	2	no	—
339	C₂×C₈	C₂×C₂²⋊D₄₇	1	4	yes	—
340	C₄⋊C₄	—	2	1	no	—
341	C₄⋊C₄	—	2	2	no	—
342	C₄⋊C₄	—	2	2	no	—
343	C₄⋊C₄	—	2	1	no	—
344	C₄⋊C₄	—	2	1	no	—
345	C₄⋊C₄	—	2	1	no	—
346	C₄⋊C₄	—	4	1	no	—
347	C₄⋊C₄	—	4	1	no	—
348	C₄⋊C₄	—	4	1	no	—
349	C₄⋊C₄	—	4	1	no	—
350	C₄⋊C₄	—	94	1	no	—
351	C₄⋊C₄	—	94	2	no	—
352	C₄⋊C₄	—	94	1	no	—
353	C₄⋊C₄	—	94	2	no	—
354	C₄⋊C₄	—	188	1	no	—
355	C₄⋊C₄	—	188	1	no	—
356	C₂²⋊C₄	—	4	1	no	—
357	C₂²⋊C₄	—	188	1	no	—
358	C₂²⋊C₄	—	188	1	no	—
359	C₄²	—	4	1	no	—
360	C₄²	D₄×D₄₇	1	1	yes	characteristic
361	C₄²	D₄×D₄₇	1	1	yes	characteristic
362	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
363	C₄²	C₂³×D₄₇	1	1	yes	characteristic
364	C₂³	—	188	1	no	—
365	C₂³	#13094020	1	1	yes	characteristic
366	Q₈	—	4	4	no	—
367	Q₈	—	4	2	no	—
368	Q₈	—	4	2	no	—
369	Q₈	—	8	2	no	—
370	Q₈	—	376	2	no	—
371	Q₈	—	188	2	no	—
372	Q₈	—	188	4	no	—
373	D₄	—	376	2	no	—
374	D₄	—	188	2	no	—
375	D₄	—	188	2	no	—
376	D₄	—	188	2	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	4	1	no	—
380	C₂×C₄	—	4	1	no	—
381	C₂×C₄	—	4	2	no	—
382	C₂×C₄	—	8	2	no	—
383	C₂×C₄	—	376	2	no	—
384	C₂×C₄	—	376	2	no	—
385	C₂×C₄	—	188	1	no	—
386	C₂×C₄	—	188	2	no	—
387	C₂×C₄	#13094020	1	1	yes	characteristic
388	C₂×C₄	#13094020	1	1	yes	characteristic
389	C₂×C₄	#13094020	1	1	yes	characteristic
390	C₂×C₄	#13094044	1	4	yes	—
391	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
392	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
393	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
394	C₈	—	2	4	no	—
395	C₈	—	94	2	no	—
396	C₈	—	94	2	no	—
397	C₈	—	94	4	no	—
398	C₂²	—	2	1	no	—
399	C₂²	—	2	1	no	—
400	C₂²	—	376	1	no	—
401	C₂²	—	376	1	no	—
402	C₂²	—	376	1	no	—
403	C₂²	#15689505	1	2	yes	—
404	C₂²	C₂×#13094020	1	1	yes	characteristic
405	C₄	—	2	1	no	—
406	C₄	—	2	1	no	—
407	C₄	—	8	2	no	—
408	C₄	—	8	1	no	—
409	C₄	—	8	1	no	—
410	C₄	—	376	1	no	—
411	C₄	—	376	2	no	—
412	C₄	#15689505	1	2	yes	—
413	C₄	C₂×#13094044	1	2	yes	—
414	C₄	#15689922	1	2	yes	—
415	C₄	#15689939	1	2	yes	—
416	C₂	—	2	2	no	—
417	C₂	—	752	1	no	—
418	C₂	C₂×#15689505	1	1	yes	characteristic
419	C₂	#20253855	1	1	yes	characteristic
420	C₂	#20253881	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13094020
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#3139	C₂
socle	C₂²×C₄₇	C₂×#127
prime radical	#15689673	C₂²
hypercenter	#3139	D₄₇
hypocenter	C₄₇	#19628
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3139

Complements

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

N	H ≅ G/N	type
1. #20254536	C₂	semidirect
5. C₂×#15689475	C₂	semidirect
6. #20243042	C₂	semidirect
7. #20243035	C₂	semidirect
8. #20243001	C₂	semidirect
9. #20242996	C₂	semidirect
10. M₁₆×C₄₇⋊C₈	C₂	semidirect
11. C₄₇×#3139	C₂	semidirect
210. #3139	D₄₇	semidirect
257. C₄₇	#19628	semidirect

Maximal subgroups

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

subgroup	index
#20254536	2
#20254509	2
#20253948	2
#20253782	2
C₂×#15689475	2
#20243042	2
#20243035	2
#20243001	2
#20242996	2
M₁₆×C₄₇⋊C₈	2
C₄₇×#3139	2
#19628	47