Subgroups — #26199726

Order 12032.

628 conjugacy classes of subgroups.

The subgroup lattice has 438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254715	C₂	1	2	yes	maximal, complemented
2	#20253967	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252363	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242917	C₂	1	1	yes	maximal, characteristic, complemented
5	#20242912	C₂	1	1	yes	maximal, characteristic, complemented
6	#20242873	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242868	C₂	1	1	yes	maximal, characteristic, complemented
8	#20242805	C₂	1	2	yes	maximal, complemented
9	#20242798	C₂	1	2	yes	maximal, complemented
10	#20242081	C₂	1	2	yes	maximal, complemented
11	C₂×C₄₇×#334	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689673	C₂²	1	2	yes	—
13	#15689657	C₂²	1	1	yes	characteristic
14	#15689528	C₂²	1	1	yes	characteristic
15	#15689500	C₂²	1	1	yes	characteristic
16	#15689470	C₂²	1	2	yes	—
17	#15689424	—	2	2	no	—
18	#15689419	C₂²	1	2	yes	—
19	#15689414	C₂²	1	2	yes	—
20	#15689359	—	2	2	no	—
21	#15689359	—	2	1	no	—
22	#15689359	—	2	1	no	—
23	#15689352	—	2	2	no	—
24	#15689339	—	2	2	no	—
25	#15689324	C₂²	1	2	yes	—
26	#15689319	C₂²	1	2	yes	—
27	#15689253	C₂²	1	1	yes	characteristic
28	C₈×Dic₉₄	C₂²	1	1	yes	characteristic
29	C₄×D₃₇₆	—	2	1	no	—
30	C₄×D₃₇₆	—	2	1	no	—
31	#15689202	C₂²	1	1	yes	characteristic
32	#15689194	—	2	1	no	—
33	C₈×D₁₈₈	C₂²	1	1	yes	characteristic
34	C₈×C₂²⋊D₄₇	—	2	1	no	—
35	#15689182	—	2	1	no	—
36	#15689180	C₂²	1	1	yes	characteristic
37	#15689077	—	2	1	no	—
38	#15688871	C₂²	1	2	yes	—
39	#15688871	C₂²	1	2	yes	—
40	#15688866	C₂²	1	2	yes	—
41	#15688866	C₂²	1	2	yes	—
42	C₂×C₄⋊C₈×C₄₇	C₂²	1	2	yes	—
43	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
44	C₄₇×#334	C₂²	1	2	yes	—
45	C₄₇×#334	C₂²	1	1	yes	characteristic
46	C₄₇×#334	C₂²	1	1	yes	characteristic
47	C₂×#10625350	—	2	2	no	—
48	C₂×#10625325	—	2	2	no	—
49	C₂×D₃₇₆	—	2	1	no	—
50	C₂×D₃₇₆	—	2	1	no	—
51	C₂×D₃₇₆	—	2	2	no	—
52	C₂×#10625324	—	2	1	no	—
53	C₂×C₈×D₄₇	—	2	1	no	—
54	#13094024	C₂³	1	2	yes	—
55	#13094021	C₂³	1	2	yes	—
56	#13094018	—	2	1	no	—
57	#13094016	D₄	1	1	yes	characteristic
58	#13094012	—	2	2	no	—
59	#13094012	D₄	1	1	yes	characteristic
60	#13094007	—	2	1	no	—
61	#13094003	D₄	1	1	yes	characteristic
62	#13093998	—	2	2	no	—
63	#13093998	—	2	2	no	—
64	#13093998	D₄	1	1	yes	characteristic
65	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
66	C₄×D₁₈₈	—	2	2	no	—
67	C₄×D₁₈₈	—	2	2	no	—
68	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
69	C₄×C₂²⋊D₄₇	—	2	1	no	—
70	#13093981	—	2	1	no	—
71	#13093958	—	2	1	no	—
72	#13093958	—	2	1	no	—
73	#13093958	—	2	2	no	—
74	#13093956	—	2	2	no	—
75	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
76	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
77	Dic₄₇⋊C₈	—	2	1	no	—
78	Dic₄₇⋊C₈	—	2	1	no	—
79	#13093949	—	2	2	no	—
80	#13093946	—	2	2	no	—
81	#13093946	—	2	2	no	—
82	#13093946	—	2	2	no	—
83	#13093946	—	2	2	no	—
84	#13093946	—	2	2	no	—
85	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
86	(C₂×D₄₇)⋊C₈	—	2	1	no	—
87	(C₂×D₄₇)⋊C₈	—	2	1	no	—
88	#13093935	—	2	1	no	—
89	#13093934	—	2	1	no	—
90	C₈×Dic₄₇	—	2	1	no	—
91	C₂²×C₈×C₄₇	—	2	2	no	—
92	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
93	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
94	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
95	C₄⋊C₈×C₄₇	—	2	2	no	—
96	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
97	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
98	C₄×C₈×C₄₇	D₄	1	1	yes	characteristic
99	C₄×C₈×C₄₇	D₄	1	1	yes	characteristic
100	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
101	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
102	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
103	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
105	C₂×C₂²⋊D₄₇	—	2	1	no	—
106	C₂×C₂²⋊D₄₇	—	4	2	no	—
107	#10625350	—	8	4	no	—
108	C₂×D₁₈₈	—	2	2	no	—
109	C₂×D₁₈₈	—	2	2	no	—
110	C₂×D₁₈₈	—	2	2	no	—
111	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
112	C₂×C₄×D₄₇	—	2	1	no	—
113	C₂×C₄×D₄₇	—	4	2	no	—
114	C₂×Dic₉₄	—	2	2	no	—
115	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
116	C₂×C₈×C₄₇	—	2	2	no	—
117	C₂×C₈×C₄₇	—	2	2	no	—
118	C₂×C₈×C₄₇	—	2	2	no	—
119	C₂×C₈×C₄₇	—	4	1	no	—
120	C₂×C₈×C₄₇	—	8	2	no	—
121	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
122	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
123	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
124	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₄₇	#41	1	1	yes	characteristic
128	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
129	C₂²⋊Dic₄₇	—	2	1	no	—
130	(C₂×D₄₇)⋊C₄	—	2	1	no	—
131	(C₂×D₄₇)⋊C₄	—	2	1	no	—
132	(C₂×D₄₇)⋊C₄	—	2	1	no	—
133	(C₂×D₄₇)⋊C₄	—	2	1	no	—
134	(C₂×D₄₇)⋊C₄	—	4	2	no	—
135	(C₂×D₄₇)⋊C₄	—	4	2	no	—
136	C₄⋊Dic₄₇	—	2	2	no	—
137	C₄⋊Dic₄₇	—	2	2	no	—
138	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
139	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
140	Dic₄₇⋊C₄	—	2	1	no	—
141	Dic₄₇⋊C₄	—	2	1	no	—
142	Dic₄₇⋊C₄	—	2	1	no	—
143	Dic₄₇⋊C₄	—	2	1	no	—
144	C₄×Dic₄₇	—	2	1	no	—
145	C₂×C₄₇⋊C₈	—	2	1	no	—
146	C₂×C₄₇⋊C₈	—	2	1	no	—
147	D₃₇₆	—	4	2	no	—
148	D₃₇₆	—	4	2	no	—
149	D₃₇₆	—	8	2	no	—
150	#10625325	—	8	2	no	—
151	#10625324	—	4	2	no	—
152	C₈×D₄₇	—	4	2	no	—
153	C₂³×C₄₇	#121	1	1	yes	characteristic
154	C₂²×D₄₇	—	2	1	no	—
155	C₂²×D₄₇	—	4	2	no	—
156	C₂×C₄×C₄₇	—	2	2	no	—
157	C₂×C₄×C₄₇	—	2	1	no	—
158	C₂×C₄×C₄₇	—	2	1	no	—
159	C₂×C₄×C₄₇	—	2	2	no	—
160	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
161	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
162	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
163	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
164	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
166	C₂²⋊D₄₇	—	4	2	no	—
167	C₂²⋊D₄₇	—	8	4	no	—
168	C₂×Dic₄₇	—	2	1	no	—
169	C₂×Dic₄₇	—	2	1	no	—
170	C₂×Dic₄₇	—	2	1	no	—
171	C₂×Dic₄₇	—	4	2	no	—
172	D₁₈₈	—	2	2	no	—
173	D₁₈₈	—	4	2	no	—
174	D₁₈₈	—	4	2	no	—
175	D₁₈₈	—	4	2	no	—
176	D₁₈₈	—	4	2	no	—
177	D₁₈₈	—	8	2	no	—
178	C₄×D₄₇	—	4	1	no	—
179	C₄×D₄₇	—	4	1	no	—
180	C₄×D₄₇	—	8	4	no	—
181	Dic₉₄	—	2	2	no	—
182	Dic₉₄	—	8	2	no	—
183	C₈×C₄₇	—	2	1	no	—
184	C₈×C₄₇	—	2	1	no	—
185	C₈×C₄₇	—	2	1	no	—
186	C₈×C₄₇	—	4	2	no	—
187	C₈×C₄₇	—	4	2	no	—
188	C₈×C₄₇	#135	1	2	yes	—
189	C₄₇⋊C₈	—	4	1	no	—
190	C₄₇⋊C₈	—	4	1	no	—
191	#19227	—	47	1	no	maximal, Sylow
192	C₂²×C₄₇	—	2	1	no	—
193	C₂²×C₄₇	—	2	1	no	—
194	C₂²×C₄₇	#472	1	2	yes	—
195	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
196	C₂×D₄₇	—	4	1	no	—
197	C₂×D₄₇	—	4	1	no	—
198	C₂×D₄₇	—	4	1	no	—
199	C₂×D₄₇	—	8	2	no	—
200	C₂×D₄₇	—	8	2	no	—
201	C₂×D₄₇	—	8	2	no	—
202	C₄×C₄₇	—	2	1	no	—
203	C₄×C₄₇	—	2	1	no	—
204	C₄×C₄₇	—	2	1	no	—
205	C₄×C₄₇	—	2	1	no	—
206	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
207	C₄×C₄₇	#575	1	1	yes	characteristic
208	C₄×C₄₇	#577	1	2	yes	—
209	Dic₄₇	—	4	1	no	—
210	Dic₄₇	—	4	1	no	—
211	Dic₄₇	—	4	1	no	—
212	Dic₄₇	—	8	2	no	—
213	#3247	—	47	2	no	—
214	#3169	—	47	1	no	—
215	#2966	—	47	1	no	—
216	#1696	—	47	1	no	—
217	#1695	—	47	1	no	—
218	#1688	—	47	1	no	—
219	#1687	—	47	1	no	—
220	#1678	—	47	2	no	—
221	#1677	—	47	2	no	—
222	C₂×#334	D₄₇	1	1	yes	characteristic, complemented
223	#1551	—	47	2	no	—
224	C₂×C₄₇	—	2	2	no	—
225	C₂×C₄₇	#3035	1	1	yes	characteristic
226	C₂×C₄₇	#3060	1	1	yes	characteristic
227	C₂×C₄₇	C₂×#472	1	1	yes	characteristic
228	D₄₇	—	8	1	no	—
229	D₄₇	—	16	2	no	—
230	#532	—	47	2	no	—
231	#529	—	47	1	no	—
232	#500	—	47	1	no	—
233	#493	—	47	1	no	—
234	#486	—	47	2	no	—
235	#478	—	94	2	no	—
236	#477	—	47	2	no	—
237	#476	—	47	2	no	—
238	#466	—	94	2	no	—
239	#466	—	94	1	no	—
240	#466	—	94	1	no	—
241	#465	—	94	2	no	—
242	#463	—	94	2	no	—
243	#460	—	47	2	no	—
244	#459	—	47	2	no	—
245	#446	—	47	1	no	—
246	C₈×Q₈	—	47	1	no	—
247	C₄×D₈	—	94	1	no	—
248	C₄×D₈	—	94	1	no	—
249	#436	—	47	1	no	—
250	#435	—	94	1	no	—
251	C₈×D₄	—	47	1	no	—
252	C₈×D₄	—	94	1	no	—
253	#433	—	94	1	no	—
254	#432	—	47	1	no	—
255	C₂×C₄⋊C₈	C₂×D₄₇	1	2	yes	—
256	#405	—	94	1	no	—
257	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
258	#334	C₂×D₄₇	1	2	yes	—
259	#334	C₂×D₄₇	1	1	yes	characteristic
260	#334	C₂×D₄₇	1	1	yes	characteristic
261	#333	—	47	2	no	—
262	#333	—	47	2	no	—
263	#331	—	47	2	no	—
264	#331	—	47	2	no	—
265	C₄₇	#19227	1	1	yes	characteristic, complemented, Sylow
266	C₂×#41	—	94	2	no	—
267	C₂×SD₁₆	—	94	2	no	—
268	C₂×D₈	—	94	2	no	—
269	C₂×D₈	—	94	1	no	—
270	C₂×D₈	—	94	1	no	—
271	C₂×M₁₆	—	94	1	no	—
272	C₂²×C₈	—	2	2	no	—
273	C₂²×C₈	—	94	1	no	—
274	C₂²×C₈	D₁₈₈	1	1	yes	characteristic
275	C₂²×C₈	D₁₈₈	1	1	yes	characteristic
276	C₄⋊Q₈	—	47	2	no	—
277	#127	—	47	2	no	—
278	#126	—	94	1	no	—
279	#125	—	47	1	no	—
280	#124	—	47	1	no	—
281	#124	—	94	2	no	—
282	#123	—	94	1	no	—
283	C₂²⋊Q₈	—	47	1	no	—
284	#121	—	47	1	no	—
285	#121	—	94	2	no	—
286	#121	—	94	2	no	—
287	C₄×Q₈	—	47	1	no	—
288	C₄×D₄	—	47	1	no	—
289	C₄×D₄	—	94	1	no	—
290	C₄×D₄	—	94	2	no	—
291	C₄×D₄	—	94	2	no	—
292	#117	—	94	1	no	—
293	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
294	#107	—	94	2	no	—
295	#107	—	94	1	no	—
296	#107	—	94	1	no	—
297	#106	—	94	2	no	—
298	C₄⋊C₈	—	2	2	no	—
299	C₄⋊C₈	—	47	1	no	—
300	C₄⋊C₈	—	47	1	no	—
301	C₄⋊C₈	—	94	1	no	—
302	C₄⋊C₈	—	94	1	no	—
303	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
304	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
305	#103	—	94	2	no	—
306	#102	—	94	2	no	—
307	#102	—	94	2	no	—
308	#102	—	94	2	no	—
309	#102	—	94	2	no	—
310	#102	—	94	2	no	—
311	C₂²⋊C₈	—	94	1	no	—
312	C₂²⋊C₈	—	94	1	no	—
313	C₂²⋊C₈	—	94	1	no	—
314	#97	—	94	1	no	—
315	#97	—	94	1	no	—
316	C₄×C₈	—	94	1	no	—
317	C₄×C₈	D₁₈₈	1	1	yes	characteristic
318	C₄×C₈	D₁₈₈	1	1	yes	characteristic
319	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
320	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
321	#41	—	376	4	no	—
322	C₂×Q₈	—	47	1	no	—
323	C₂×Q₈	—	94	2	no	—
324	C₂×D₄	—	47	1	no	—
325	C₂×D₄	—	94	1	no	—
326	C₂×D₄	—	94	2	no	—
327	C₂×D₄	—	94	2	no	—
328	C₂×D₄	—	94	2	no	—
329	C₂×D₄	—	188	2	no	—
330	C₂²×C₄	—	94	1	no	—
331	C₂²×C₄	—	188	2	no	—
332	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
333	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
334	C₂²×C₄	#10625354	1	1	yes	characteristic
335	SD₁₆	—	376	2	no	—
336	D₈	—	376	2	no	—
337	D₈	—	188	2	no	—
338	D₈	—	188	2	no	—
339	M₁₆	—	188	2	no	—
340	C₂×C₈	—	2	2	no	—
341	C₂×C₈	—	2	2	no	—
342	C₂×C₈	—	2	2	no	—
343	C₂×C₈	—	4	1	no	—
344	C₂×C₈	—	8	2	no	—
345	C₂×C₈	—	94	1	no	—
346	C₂×C₈	—	94	1	no	—
347	C₂×C₈	—	188	2	no	—
348	C₂×C₈	C₂×D₁₈₈	1	1	yes	characteristic
349	C₂×C₈	C₂×D₁₈₈	1	1	yes	characteristic
350	C₂×C₈	C₂×D₁₈₈	1	1	yes	characteristic
351	C₂×C₈	C₂×D₁₈₈	1	1	yes	characteristic
352	C₄⋊C₄	—	47	1	no	—
353	C₄⋊C₄	—	47	1	no	—
354	C₄⋊C₄	—	94	1	no	—
355	C₄⋊C₄	—	94	1	no	—
356	C₄⋊C₄	—	94	1	no	—
357	C₄⋊C₄	—	94	1	no	—
358	C₄⋊C₄	—	94	2	no	—
359	C₄⋊C₄	—	94	2	no	—
360	C₂²⋊C₄	—	94	1	no	—
361	C₂²⋊C₄	—	94	1	no	—
362	C₂²⋊C₄	—	94	1	no	—
363	C₂²⋊C₄	—	94	1	no	—
364	C₂²⋊C₄	—	94	1	no	—
365	C₂²⋊C₄	—	188	2	no	—
366	C₂²⋊C₄	—	188	2	no	—
367	C₄²	—	94	1	no	—
368	C₄²	C₂×D₁₈₈	1	1	yes	characteristic
369	C₄²	D₄×D₄₇	1	1	yes	characteristic
370	C₄²	#10625354	1	1	yes	characteristic
371	C₄²	C₂³×D₄₇	1	1	yes	characteristic
372	C₂³	—	94	1	no	—
373	C₂³	—	188	2	no	—
374	C₂³	#13093999	1	1	yes	characteristic
375	Q₈	—	94	2	no	—
376	Q₈	—	376	2	no	—
377	D₄	—	94	2	no	—
378	D₄	—	376	2	no	—
379	D₄	—	376	4	no	—
380	D₄	—	188	2	no	—
381	D₄	—	188	2	no	—
382	D₄	—	188	2	no	—
383	D₄	—	188	2	no	—
384	D₄	—	188	2	no	—
385	C₂×C₄	—	2	2	no	—
386	C₂×C₄	—	2	1	no	—
387	C₂×C₄	—	2	1	no	—
388	C₂×C₄	—	2	2	no	—
389	C₂×C₄	—	94	1	no	—
390	C₂×C₄	—	94	1	no	—
391	C₂×C₄	—	94	1	no	—
392	C₂×C₄	—	376	4	no	—
393	C₂×C₄	—	188	2	no	—
394	C₂×C₄	—	188	1	no	—
395	C₂×C₄	—	188	1	no	—
396	C₂×C₄	#13093999	1	1	yes	characteristic
397	C₂×C₄	#13093999	1	1	yes	characteristic
398	C₂×C₄	#13093999	1	1	yes	characteristic
399	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
400	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
401	C₂×C₄	C₂×#10625354	1	1	yes	characteristic
402	C₈	—	2	1	no	—
403	C₈	—	2	1	no	—
404	C₈	—	2	1	no	—
405	C₈	—	4	2	no	—
406	C₈	—	4	2	no	—
407	C₈	—	188	1	no	—
408	C₈	—	188	1	no	—
409	C₈	#13094046	1	2	yes	—
410	C₂²	—	2	1	no	—
411	C₂²	—	2	1	no	—
412	C₂²	—	376	2	no	—
413	C₂²	—	376	2	no	—
414	C₂²	—	376	2	no	—
415	C₂²	—	188	1	no	—
416	C₂²	—	188	1	no	—
417	C₂²	—	188	1	no	—
418	C₂²	#15689394	1	2	yes	—
419	C₂²	C₂×#13093999	1	1	yes	characteristic
420	C₄	—	2	1	no	—
421	C₄	—	2	1	no	—
422	C₄	—	2	1	no	—
423	C₄	—	2	1	no	—
424	C₄	—	376	2	no	—
425	C₄	—	188	1	no	—
426	C₄	—	188	1	no	—
427	C₄	—	188	1	no	—
428	C₄	C₂×#13094046	1	1	yes	characteristic
429	C₄	#15689923	1	1	yes	characteristic
430	C₄	#15689929	1	2	yes	—
431	C₂	—	2	2	no	—
432	C₂	—	376	1	no	—
433	C₂	—	752	2	no	—
434	C₂	#20252845	1	1	yes	characteristic
435	C₂	#20253051	1	1	yes	characteristic
436	C₂	C₂×#15689394	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093999
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₂×C₄₇×#334	C₂
socle	C₂²×C₄₇	C₂×#121
hypercenter	C₂×#334	D₄₇
hypocenter	C₄₇	#19227
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#334

Complements

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

N	H ≅ G/N	type
1. #20254715	C₂	semidirect
2. #20253967	C₂	semidirect
3. #20252363	C₂	semidirect
4. #20242917	C₂	semidirect
5. #20242912	C₂	semidirect
6. #20242873	C₂	semidirect
7. #20242868	C₂	semidirect
8. #20242805	C₂	semidirect
9. #20242798	C₂	semidirect
10. #20242081	C₂	semidirect
11. C₂×C₄₇×#334	C₂	semidirect
222. C₂×#334	D₄₇	semidirect
265. C₄₇	#19227	semidirect

Maximal subgroups

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

subgroup	index
#20254715	2
#20253967	2
#20252363	2
#20242917	2
#20242912	2
#20242873	2
#20242868	2
#20242805	2
#20242798	2
#20242081	2
C₂×C₄₇×#334	2
#19227	47