Subgroups — #26200211

Order 12032.

638 conjugacy classes of subgroups.

The subgroup lattice has 432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#500×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
2	#20253202	C₂	1	2	yes	maximal
3	C₈×#10625354	C₂	1	1	yes	maximal, characteristic
4	#20242792	C₂	1	1	yes	maximal, characteristic, complemented
5	#20242790	C₂	1	2	yes	maximal, complemented
6	#20242788	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242786	C₂	1	2	yes	maximal, complemented
8	#20242784	C₂	1	1	yes	maximal, characteristic, complemented
9	#20242145	C₂	1	1	yes	maximal, characteristic, complemented
10	#20242067	C₂	1	2	yes	maximal, complemented
11	C₄₇×#1676	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄⋊Q₈×D₄₇	C₂²	1	2	yes	—
13	C₄×#10625354	C₂²	1	1	yes	characteristic
14	#15689528	C₂²	1	1	yes	characteristic
15	#15689527	—	2	1	no	—
16	#15689527	—	2	1	no	—
17	#15689526	C₂²	1	2	yes	—
18	#15689418	C₂²	1	2	yes	—
19	#15689414	C₂²	1	2	yes	—
20	#15689410	C₂²	1	2	yes	—
21	#15689406	—	2	2	no	—
22	#15689402	—	2	2	no	—
23	Q₈×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
24	C₈×D₁₈₈	—	2	1	no	—
25	C₈×D₁₈₈	C₂²	1	1	yes	characteristic
26	#15689188	—	2	1	no	—
27	#15689188	C₂²	1	1	yes	characteristic
28	#15689175	—	2	1	no	—
29	#15689175	C₂²	1	1	yes	characteristic
30	#15689164	—	2	2	no	—
31	#107×D₄₇	—	2	1	no	—
32	#107×D₄₇	—	2	1	no	—
33	#15689145	C₂²	1	2	yes	—
34	#15689123	—	2	2	no	—
35	C₄×C₈×D₄₇	—	2	1	no	—
36	C₄×C₈×D₄₇	C₂²	1	1	yes	characteristic
37	#15688876	C₂²	1	1	yes	characteristic
38	#15688875	C₂²	1	2	yes	—
39	#15688872	C₂²	1	2	yes	—
40	#15688871	C₂²	1	2	yes	—
41	#15688871	C₂²	1	2	yes	—
42	C₄₇×#500	C₂²	1	1	yes	characteristic
43	C₄₇×#477	C₂²	1	2	yes	—
44	C₈×Q₈×C₄₇	C₂²	1	1	yes	characteristic
45	C₄₇×#335	C₂²	1	1	yes	characteristic
46	C₄₇×#333	C₂²	1	2	yes	—
47	C₂×#10625354	D₄	1	1	yes	characteristic
48	C₂×Q₈×D₄₇	—	2	2	no	—
49	C₂×#10625324	—	2	2	no	—
50	C₂×C₈×D₄₇	—	2	1	no	—
51	C₂×C₈×D₄₇	—	2	1	no	—
52	C₂×C₈×D₄₇	D₄	1	1	yes	characteristic
53	C₂×C₈×D₄₇	D₄	1	1	yes	characteristic
54	#13094024	C₂³	1	2	yes	—
55	#13094023	—	2	2	no	—
56	#13094023	—	2	2	no	—
57	#13094022	—	2	2	no	—
58	Q₈×Dic₄₇	D₄	1	1	yes	characteristic
59	C₄×D₁₈₈	—	2	1	no	—
60	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
61	#13093986	—	2	1	no	—
62	#13093986	D₄	1	1	yes	characteristic
63	#13093982	—	2	1	no	—
64	#13093982	D₄	1	1	yes	characteristic
65	C₄⋊C₄×D₄₇	—	2	2	no	—
66	C₄⋊C₄×D₄₇	—	2	2	no	—
67	C₄²×D₄₇	—	2	1	no	—
68	C₄²×D₄₇	C₂³	1	1	yes	characteristic
69	#13093958	—	2	1	no	—
70	#13093958	—	2	1	no	—
71	#13093957	—	2	2	no	—
72	#13093957	—	2	2	no	—
73	#13093957	—	2	2	no	—
74	#13093956	—	2	2	no	—
75	#13093955	—	2	2	no	—
76	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
77	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
78	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
79	Dic₄₇⋊C₈	—	2	2	no	—
80	#13093948	—	2	2	no	—
81	#13093946	—	2	2	no	—
82	#13093944	—	2	2	no	—
83	(C₂×D₄₇)⋊C₈	—	2	1	no	—
84	(C₂×D₄₇)⋊C₈	—	2	1	no	—
85	(C₂×D₄₇)⋊C₈	—	2	1	no	—
86	C₄×C₄₇⋊C₈	—	2	1	no	—
87	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
88	C₈×Dic₄₇	—	2	1	no	—
89	C₈×Dic₄₇	D₄	1	1	yes	characteristic
90	C₈×Dic₄₇	D₄	1	1	yes	characteristic
91	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	—
92	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
93	#107×C₄₇	—	2	1	no	—
94	#107×C₄₇	—	2	1	no	—
95	#107×C₄₇	—	2	2	no	—
96	C₄⋊C₈×C₄₇	—	2	1	no	—
97	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
98	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
99	#103×C₄₇	—	2	2	no	—
100	C₄×C₈×C₄₇	—	2	1	no	—
101	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
102	C₂×Q₈×C₄₇	—	2	2	no	—
103	C₂×Q₈×C₄₇	C₂×D₄	1	1	yes	characteristic
104	#10625354	—	2	2	no	—
105	#10625354	Q₁₆	1	4	yes	—
106	Q₈×D₄₇	—	8	4	no	—
107	C₂×D₁₈₈	—	2	1	no	—
108	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
109	C₂×C₄×D₄₇	—	2	1	no	—
110	C₂×C₄×D₄₇	—	2	1	no	—
111	C₂×C₄×D₄₇	—	2	1	no	—
112	C₂×C₄×D₄₇	—	4	2	no	—
113	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
114	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
115	C₂×C₄×D₄₇	#41	1	1	yes	characteristic
116	C₂×Dic₉₄	—	2	2	no	—
117	C₂×Dic₉₄	—	4	2	no	—
118	C₂×C₈×C₄₇	—	2	2	no	—
119	C₂×C₈×C₄₇	—	2	1	no	—
120	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
122	C₄⋊C₄×C₄₇	—	2	1	no	—
123	C₄⋊C₄×C₄₇	—	2	2	no	—
124	C₄⋊C₄×C₄₇	—	2	2	no	—
125	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₄₇	—	2	1	no	—
127	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
128	(C₂×D₄₇)⋊C₄	—	2	1	no	—
129	(C₂×D₄₇)⋊C₄	—	2	1	no	—
130	(C₂×D₄₇)⋊C₄	—	2	1	no	—
131	C₄⋊Dic₄₇	—	2	1	no	—
132	C₄⋊Dic₄₇	—	2	2	no	—
133	C₄⋊Dic₄₇	—	2	2	no	—
134	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
135	Dic₄₇⋊C₄	—	4	2	no	—
136	Dic₄₇⋊C₄	—	4	2	no	—
137	C₄×Dic₄₇	—	2	1	no	—
138	C₄×Dic₄₇	—	2	1	no	—
139	C₄×Dic₄₇	C₂×D₄	1	1	yes	characteristic
140	C₄×Dic₄₇	C₂×D₄	1	1	yes	characteristic
141	C₄×Dic₄₇	#41	1	1	yes	characteristic
142	C₂×C₄₇⋊C₈	—	2	1	no	—
143	C₂×C₄₇⋊C₈	—	2	2	no	—
144	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
145	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
146	#10625324	—	4	4	no	—
147	C₈×D₄₇	—	2	2	no	—
148	C₈×D₄₇	—	2	2	no	—
149	C₈×D₄₇	—	4	2	no	—
150	C₈×D₄₇	—	4	2	no	—
151	C₂²×D₄₇	—	2	1	no	—
152	C₂²×D₄₇	#121	1	1	yes	characteristic
153	Q₈×C₄₇	—	2	1	no	—
154	Q₈×C₄₇	—	8	2	no	—
155	Q₈×C₄₇	C₂×Q₁₆	1	2	yes	—
156	C₂×C₄×C₄₇	—	2	1	no	—
157	C₂×C₄×C₄₇	—	2	1	no	—
158	C₂×C₄×C₄₇	—	4	2	no	—
159	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
160	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
162	C₂×Dic₄₇	—	2	1	no	—
163	C₂×Dic₄₇	—	4	2	no	—
164	C₂×Dic₄₇	#121	1	1	yes	characteristic
165	C₂×Dic₄₇	#121	1	1	yes	characteristic
166	C₂×Dic₄₇	#121	1	1	yes	characteristic
167	D₁₈₈	—	2	4	no	—
168	D₁₈₈	—	2	1	no	—
169	D₁₈₈	C₂×Q₁₆	1	2	yes	—
170	C₄×D₄₇	—	2	1	no	—
171	C₄×D₄₇	—	2	1	no	—
172	C₄×D₄₇	—	2	4	no	—
173	C₄×D₄₇	—	2	2	no	—
174	C₄×D₄₇	—	4	1	no	—
175	C₄×D₄₇	—	4	1	no	—
176	C₄×D₄₇	—	4	2	no	—
177	C₄×D₄₇	—	8	4	no	—
178	C₄×D₄₇	C₂×Q₁₆	1	2	yes	—
179	C₄×D₄₇	#135	1	2	yes	—
180	Dic₉₄	—	8	4	no	—
181	Dic₉₄	—	8	2	no	—
182	C₈×C₄₇	—	2	1	no	—
183	C₈×C₄₇	—	4	2	no	—
184	C₈×C₄₇	—	4	1	no	—
185	C₈×C₄₇	#137	1	2	yes	—
186	C₄₇⋊C₈	—	2	1	no	—
187	C₄₇⋊C₈	—	4	2	no	—
188	C₄₇⋊C₈	—	4	1	no	—
189	C₄₇⋊C₈	#137	1	2	yes	—
190	#19272	—	47	1	no	maximal, Sylow
191	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
192	C₂×D₄₇	—	2	1	no	—
193	C₂×D₄₇	—	2	1	no	—
194	C₂×D₄₇	—	2	2	no	—
195	C₂×D₄₇	—	4	1	no	—
196	C₂×D₄₇	—	4	1	no	—
197	C₂×D₄₇	#467	1	2	yes	—
198	C₄×C₄₇	—	2	2	no	—
199	C₄×C₄₇	—	2	1	no	—
200	C₄×C₄₇	—	4	1	no	—
201	C₄×C₄₇	—	8	2	no	—
202	C₄×C₄₇	C₂²×Q₁₆	1	1	yes	characteristic
203	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
204	C₄×C₄₇	C₂×#137	1	1	yes	characteristic
205	C₄×C₄₇	C₂×#137	1	1	yes	characteristic
206	Dic₄₇	—	2	1	no	—
207	Dic₄₇	—	4	1	no	—
208	Dic₄₇	—	8	2	no	—
209	Dic₄₇	#467	1	2	yes	—
210	Dic₄₇	#472	1	2	yes	—
211	C₂×#500	—	47	1	no	—
212	#3079	—	47	2	no	—
213	C₈×#41	—	47	1	no	—
214	#1676	—	47	2	no	—
215	#1676	—	47	1	no	—
216	#1676	D₄₇	1	1	yes	characteristic, complemented
217	#1675	—	47	1	no	—
218	#1675	—	47	1	no	—
219	#1675	—	47	2	no	—
220	#1567	—	47	1	no	—
221	#1548	—	47	2	no	—
222	C₂×C₄₇	#3039	1	1	yes	characteristic
223	C₂×C₄₇	C₂×#467	1	1	yes	characteristic
224	C₂×C₄₇	C₂×#472	1	1	yes	characteristic
225	D₄₇	—	2	2	no	—
226	D₄₇	—	4	2	no	—
227	C₂×C₄⋊Q₈	—	47	2	no	—
228	C₄×#41	—	47	1	no	—
229	#500	—	47	2	no	—
230	#500	—	47	1	no	—
231	#500	—	94	1	no	—
232	#500	—	94	1	no	—
233	#500	C₂×D₄₇	1	1	yes	characteristic
234	#477	—	47	2	no	—
235	#477	C₂×D₄₇	1	2	yes	—
236	#476	—	47	2	no	—
237	#476	—	47	2	no	—
238	#475	—	94	2	no	—
239	#474	—	94	2	no	—
240	C₈×Q₈	—	47	1	no	—
241	C₈×Q₈	C₂×D₄₇	1	1	yes	characteristic
242	C₈×D₄	—	47	1	no	—
243	C₈×D₄	—	47	1	no	—
244	C₈×D₄	—	94	1	no	—
245	C₈×D₄	—	94	1	no	—
246	#431	—	47	1	no	—
247	#431	—	94	1	no	—
248	#428	—	94	2	no	—
249	C₂×#107	—	94	1	no	—
250	C₂×#107	—	94	1	no	—
251	#423	—	47	2	no	—
252	#417	—	94	2	no	—
253	C₂×C₄×C₈	—	47	1	no	—
254	C₂×C₄×C₈	—	94	1	no	—
255	#335	—	47	2	no	—
256	#335	—	47	1	no	—
257	#335	C₂×D₄₇	1	1	yes	characteristic
258	#333	—	47	2	no	—
259	#333	—	47	2	no	—
260	#333	—	47	2	no	—
261	#333	C₂×D₄₇	1	2	yes	—
262	C₄₇	#19272	1	1	yes	characteristic, complemented, Sylow
263	C₂×#41	—	47	1	no	—
264	C₂²×Q₈	—	94	2	no	—
265	C₂×M₁₆	—	94	2	no	—
266	C₂²×C₈	—	47	1	no	—
267	C₂²×C₈	—	47	1	no	—
268	C₂²×C₈	—	94	1	no	—
269	C₂²×C₈	—	94	1	no	—
270	C₄⋊Q₈	—	47	2	no	—
271	C₄⋊Q₈	—	94	2	no	—
272	C₄⋊Q₈	—	94	2	no	—
273	C₄⋊Q₈	—	94	2	no	—
274	C₄⋊Q₈	C₂²×D₄₇	1	2	yes	—
275	C₄×Q₈	—	47	1	no	—
276	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
277	C₄×D₄	—	47	1	no	—
278	C₄×D₄	—	47	1	no	—
279	C₄×D₄	—	94	1	no	—
280	C₄×D₄	—	94	1	no	—
281	#117	—	47	1	no	—
282	#117	—	94	1	no	—
283	C₂×C₄⋊C₄	—	94	2	no	—
284	C₂×C₄⋊C₄	—	94	2	no	—
285	C₂×C₄²	—	47	1	no	—
286	C₂×C₄²	—	94	1	no	—
287	#107	—	2	1	no	—
288	#107	—	2	1	no	—
289	#107	—	2	2	no	—
290	#107	—	94	2	no	—
291	#107	—	94	2	no	—
292	#107	—	94	1	no	—
293	#107	—	94	1	no	—
294	#107	—	94	2	no	—
295	#106	—	94	2	no	—
296	#106	—	94	2	no	—
297	C₄⋊C₈	—	2	1	no	—
298	C₄⋊C₈	—	47	1	no	—
299	C₄⋊C₈	—	47	2	no	—
300	C₄⋊C₈	—	94	1	no	—
301	C₄⋊C₈	—	94	2	no	—
302	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
303	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
304	#103	—	2	2	no	—
305	#103	—	94	2	no	—
306	#102	—	94	2	no	—
307	#102	—	94	2	no	—
308	C₂²⋊C₈	—	94	1	no	—
309	C₂²⋊C₈	—	94	1	no	—
310	C₂²⋊C₈	—	94	1	no	—
311	C₄×C₈	—	2	1	no	—
312	C₄×C₈	—	47	1	no	—
313	C₄×C₈	—	47	1	no	—
314	C₄×C₈	—	47	1	no	—
315	C₄×C₈	—	94	1	no	—
316	C₄×C₈	—	94	1	no	—
317	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
318	#41	—	47	4	no	—
319	#41	—	94	2	no	—
320	C₂×Q₈	—	2	2	no	—
321	C₂×Q₈	—	94	2	no	—
322	C₂×Q₈	—	376	4	no	—
323	C₂×Q₈	—	188	2	no	—
324	C₂×Q₈	D₄×D₄₇	1	1	yes	characteristic
325	C₂×D₄	—	47	1	no	—
326	C₂×D₄	—	94	1	no	—
327	C₂²×C₄	—	47	1	no	—
328	C₂²×C₄	—	47	1	no	—
329	C₂²×C₄	—	47	1	no	—
330	C₂²×C₄	—	94	1	no	—
331	C₂²×C₄	—	94	1	no	—
332	C₂²×C₄	—	94	1	no	—
333	C₂²×C₄	—	188	2	no	—
334	M₁₆	—	188	4	no	—
335	C₂×C₈	—	2	1	no	—
336	C₂×C₈	—	2	2	no	—
337	C₂×C₈	—	47	1	no	—
338	C₂×C₈	—	47	1	no	—
339	C₂×C₈	—	94	2	no	—
340	C₂×C₈	—	94	2	no	—
341	C₂×C₈	—	94	1	no	—
342	C₂×C₈	—	94	2	no	—
343	C₂×C₈	—	188	2	no	—
344	C₂×C₈	—	188	2	no	—
345	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
346	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
347	C₄⋊C₄	—	2	1	no	—
348	C₄⋊C₄	—	2	2	no	—
349	C₄⋊C₄	—	2	2	no	—
350	C₄⋊C₄	—	47	1	no	—
351	C₄⋊C₄	—	94	1	no	—
352	C₄⋊C₄	—	94	2	no	—
353	C₄⋊C₄	—	94	2	no	—
354	C₄⋊C₄	—	188	2	no	—
355	C₄⋊C₄	—	188	2	no	—
356	C₄⋊C₄	D₄×D₄₇	1	1	yes	characteristic
357	C₂²⋊C₄	—	94	1	no	—
358	C₂²⋊C₄	—	94	1	no	—
359	C₂²⋊C₄	—	94	1	no	—
360	C₄²	—	2	1	no	—
361	C₄²	—	47	1	no	—
362	C₄²	—	47	1	no	—
363	C₄²	—	47	1	no	—
364	C₄²	—	94	1	no	—
365	C₄²	—	94	1	no	—
366	C₄²	C₂³×D₄₇	1	1	yes	characteristic
367	C₂³	—	47	1	no	—
368	C₂³	—	94	1	no	—
369	Q₈	—	2	1	no	—
370	Q₈	—	8	2	no	—
371	Q₈	—	376	2	no	—
372	Q₈	—	376	4	no	—
373	Q₈	Q₁₆×D₄₇	1	2	yes	—
374	D₄	—	47	2	no	—
375	D₄	—	94	4	no	—
376	D₄	—	94	1	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	2	1	no	—
379	C₂×C₄	—	4	2	no	—
380	C₂×C₄	—	47	1	no	—
381	C₂×C₄	—	47	1	no	—
382	C₂×C₄	—	47	2	no	—
383	C₂×C₄	—	47	2	no	—
384	C₂×C₄	—	47	1	no	—
385	C₂×C₄	—	94	2	no	—
386	C₂×C₄	—	94	4	no	—
387	C₂×C₄	—	94	1	no	—
388	C₂×C₄	—	94	1	no	—
389	C₂×C₄	—	94	1	no	—
390	C₂×C₄	—	376	4	no	—
391	C₂×C₄	—	188	2	no	—
392	C₂×C₄	—	188	2	no	—
393	C₂×C₄	—	188	1	no	—
394	C₂×C₄	—	188	1	no	—
395	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
396	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
397	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
398	C₈	—	2	1	no	—
399	C₈	—	4	2	no	—
400	C₈	—	4	1	no	—
401	C₈	—	47	2	no	—
402	C₈	—	94	1	no	—
403	C₈	—	188	2	no	—
404	C₈	—	188	1	no	—
405	C₈	#13094056	1	2	yes	—
406	C₂²	—	47	2	no	—
407	C₂²	—	94	1	no	—
408	C₂²	—	94	1	no	—
409	C₂²	—	94	2	no	—
410	C₂²	—	188	1	no	—
411	C₂²	—	188	1	no	—
412	C₂²	#121×D₄₇	1	1	yes	characteristic
413	C₄	—	2	2	no	—
414	C₄	—	2	1	no	—
415	C₄	—	4	1	no	—
416	C₄	—	8	2	no	—
417	C₄	—	47	2	no	—
418	C₄	—	47	2	no	—
419	C₄	—	94	1	no	—
420	C₄	—	376	2	no	—
421	C₄	—	188	1	no	—
422	C₄	C₂×Q₁₆×D₄₇	1	1	yes	characteristic
423	C₄	#135×D₄₇	1	1	yes	characteristic
424	C₄	#137×D₄₇	1	1	yes	characteristic
425	C₄	C₂×#13094056	1	1	yes	characteristic
426	C₂	—	94	2	no	—
427	C₂	—	188	2	no	—
428	C₂	#20252872	1	1	yes	characteristic
429	C₂	#467×D₄₇	1	1	yes	characteristic
430	C₂	#472×D₄₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#121×D₄₇
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#1676	C₂
socle	C₂²×C₄₇	C₂×#121
prime radical	C₂×#10625354	D₄
hypercenter	#1676	D₄₇
hypocenter	C₄₇	#19272
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #1676

Complements

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

N	H ≅ G/N	type
1. #500×D₄₇	C₂	semidirect
4. #20242792	C₂	semidirect
5. #20242790	C₂	semidirect
6. #20242788	C₂	semidirect
7. #20242786	C₂	semidirect
8. #20242784	C₂	semidirect
9. #20242145	C₂	semidirect
10. #20242067	C₂	semidirect
11. C₄₇×#1676	C₂	semidirect
216. #1676	D₄₇	semidirect
262. C₄₇	#19272	semidirect

Maximal subgroups

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

subgroup	index
#500×D₄₇	2
#20253202	2
C₈×#10625354	2
#20242792	2
#20242790	2
#20242788	2
#20242786	2
#20242784	2
#20242145	2
#20242067	2
C₄₇×#1676	2
#19272	47