Subgroups — #26185948

Order 12032.

726 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20252428	C₂	1	1	yes	maximal, characteristic, complemented
2	#20252411	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄×D₃₇₆	C₂	1	1	yes	maximal, characteristic
4	#20242251	C₂	1	4	yes	maximal, complemented
5	#20242216	C₂	1	4	yes	maximal, complemented
6	#20241778	C₂	1	1	yes	maximal, characteristic, complemented
7	#20241778	C₂	1	1	yes	maximal, characteristic, complemented
8	#20241680	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#1564	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×D₃₇₆	C₄	1	1	yes	characteristic
11	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
12	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
13	C₄×D₃₇₆	C₄	1	2	yes	—
14	C₄×D₃₇₆	C₄	1	2	yes	—
15	C₄×D₃₇₆	C₂²	1	2	yes	—
16	C₄×D₃₇₆	C₂²	1	2	yes	—
17	#15689202	—	2	2	no	—
18	#15689200	C₂²	1	4	yes	complemented
19	C₈×D₁₈₈	—	2	2	no	—
20	#15689188	C₂²	1	4	yes	complemented
21	#15689176	C₂²	1	1	yes	characteristic
22	#15689176	C₂²	1	1	yes	characteristic
23	C₂×#13093958	C₄	1	1	yes	characteristic
24	C₂×#13093946	C₄	1	1	yes	characteristic
25	C₂×#13093946	C₄	1	1	yes	characteristic
26	#15689085	—	2	2	no	—
27	C₂²⋊C₈×D₄₇	—	2	2	no	—
28	#15688850	C₂²	1	4	yes	complemented
29	#15688850	C₂²	1	4	yes	complemented
30	#15688845	C₂²	1	2	yes	complemented
31	#15688845	C₂²	1	2	yes	complemented
32	C₄₇×#431	C₂²	1	1	yes	characteristic
33	C₄₇×#431	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
35	C₄₇×#335	C₂²	1	2	yes	complemented
36	C₄₇×#334	C₂²	1	2	yes	complemented
37	C₂²×D₁₈₈	C₂×C₄	1	1	yes	characteristic
38	C₂²×D₁₈₈	C₂×C₄	1	1	yes	characteristic
39	C₂²×C₄×D₄₇	—	2	1	no	—
40	C₂²×C₄×D₄₇	—	2	1	no	—
41	C₂×D₃₇₆	—	2	4	no	—
42	C₂×D₃₇₆	C₂×C₄	1	2	yes	—
43	C₂×D₃₇₆	C₂×C₄	1	2	yes	—
44	C₂×#10625324	—	2	4	no	—
45	C₂×C₈×D₄₇	—	2	4	no	—
46	C₄×D₁₈₈	—	2	1	no	—
47	C₄×D₁₈₈	—	2	1	no	—
48	C₄×D₁₈₈	—	2	1	no	—
49	C₄×D₁₈₈	—	2	1	no	—
50	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
51	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
52	C₄×D₁₈₈	C₂³	1	2	yes	—
53	C₄×D₁₈₈	C₂³	1	2	yes	—
54	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
55	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
56	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
57	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
58	#13093958	C₂×C₄	1	2	yes	—
59	#13093958	C₂×C₄	1	2	yes	—
60	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
61	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
62	#13093946	C₂×C₄	1	2	yes	—
63	#13093946	C₂×C₄	1	2	yes	—
64	#13093946	C₂×C₄	1	2	yes	—
65	#13093946	C₂×C₄	1	2	yes	—
66	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
67	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
68	(C₂×D₄₇)⋊C₈	—	2	4	no	—
69	(C₂×D₄₇)⋊C₈	—	2	4	no	—
70	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
71	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
72	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
73	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
74	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
75	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
76	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
77	C₂²⋊C₈×C₄₇	—	2	1	no	—
78	C₂²⋊C₈×C₄₇	—	2	1	no	—
79	C₄×C₈×C₄₇	—	2	1	no	—
80	C₄×C₈×C₄₇	—	2	1	no	—
81	C₄×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
82	C₄×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
83	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
84	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
85	C₂³×D₄₇	—	2	1	no	—
86	C₂³×D₄₇	—	2	1	no	—
87	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
88	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
90	C₂²×Dic₄₇	—	2	1	no	—
91	C₂²×Dic₄₇	—	2	1	no	—
92	C₂×D₁₈₈	—	2	1	no	—
93	C₂×D₁₈₈	—	2	2	no	—
94	C₂×D₁₈₈	—	2	2	no	—
95	C₂×D₁₈₈	—	2	2	no	—
96	C₂×D₁₈₈	—	2	1	no	—
97	C₂×D₁₈₈	M₁₆	1	4	yes	complemented
98	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
99	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
100	C₂×C₄×D₄₇	—	2	2	no	—
101	C₂×C₄×D₄₇	—	2	2	no	—
102	C₂×C₄×D₄₇	—	2	2	no	—
103	C₂×C₄×D₄₇	—	2	2	no	—
104	C₂×C₄×D₄₇	—	8	2	no	—
105	C₂×C₄×D₄₇	—	8	2	no	—
106	C₂×C₈×C₄₇	—	2	2	no	—
107	C₂×C₈×C₄₇	—	2	2	no	—
108	C₂×C₈×C₄₇	—	2	2	no	—
109	C₂×C₈×C₄₇	—	2	2	no	—
110	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
111	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
112	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
113	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
115	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₄₇	#41	1	1	yes	characteristic
117	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
118	(C₂×D₄₇)⋊C₄	—	2	2	no	—
119	(C₂×D₄₇)⋊C₄	—	2	2	no	—
120	(C₂×D₄₇)⋊C₄	—	2	2	no	—
121	(C₂×D₄₇)⋊C₄	—	2	2	no	—
122	C₄⋊Dic₄₇	—	2	1	no	—
123	C₄⋊Dic₄₇	—	2	1	no	—
124	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
125	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
126	C₂×C₄₇⋊C₈	—	2	2	no	—
127	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
128	D₃₇₆	—	2	4	no	—
129	D₃₇₆	—	2	4	no	—
130	#10625324	—	8	4	no	—
131	C₈×D₄₇	—	8	4	no	—
132	C₂³×C₄₇	C₄×D₄	1	1	yes	characteristic
133	C₂²×D₄₇	—	2	2	no	—
134	C₂²×D₄₇	—	2	4	no	—
135	C₂²×D₄₇	—	2	2	no	—
136	C₂²×D₄₇	—	4	2	no	—
137	C₂²×D₄₇	—	8	1	no	—
138	C₂²×D₄₇	—	8	1	no	—
139	C₂²×D₄₇	—	8	1	no	—
140	C₂²×D₄₇	—	8	1	no	—
141	C₂×C₄×C₄₇	—	2	2	no	—
142	C₂×C₄×C₄₇	—	4	1	no	—
143	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
144	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
145	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
146	C₂×C₄×C₄₇	C₂×M₁₆	1	2	yes	—
147	C₂×C₄×C₄₇	#131	1	2	yes	—
148	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
151	C₂×Dic₄₇	—	2	2	no	—
152	C₂×Dic₄₇	—	2	2	no	—
153	C₂×Dic₄₇	—	8	1	no	—
154	C₂×Dic₄₇	—	8	1	no	—
155	D₁₈₈	—	2	2	no	—
156	D₁₈₈	—	2	2	no	—
157	D₁₈₈	—	2	2	no	—
158	D₁₈₈	—	2	4	no	—
159	D₁₈₈	—	4	2	no	—
160	D₁₈₈	C₂×M₁₆	1	4	yes	—
161	C₄×D₄₇	—	4	4	no	—
162	C₄×D₄₇	—	4	4	no	—
163	C₄×D₄₇	—	8	2	no	—
164	C₄×D₄₇	—	8	2	no	—
165	C₈×C₄₇	—	2	1	no	—
166	C₈×C₄₇	—	2	1	no	—
167	C₈×C₄₇	—	2	1	no	—
168	C₈×C₄₇	—	2	1	no	—
169	C₈×C₄₇	—	4	2	no	—
170	C₈×C₄₇	—	4	2	no	—
171	C₄₇⋊C₈	—	2	4	no	—
172	C₄₇⋊C₈	—	4	2	no	—
173	#17877	—	47	1	no	maximal, Sylow
174	C₂²×C₄₇	—	2	1	no	—
175	C₂²×C₄₇	—	2	1	no	—
176	C₂²×C₄₇	#435	1	2	yes	—
177	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
178	C₂×D₄₇	—	2	4	no	—
179	C₂×D₄₇	—	4	2	no	—
180	C₂×D₄₇	—	4	2	no	—
181	C₂×D₄₇	—	4	2	no	—
182	C₂×D₄₇	—	4	2	no	—
183	C₂×D₄₇	—	4	2	no	—
184	C₂×D₄₇	—	8	4	no	—
185	C₂×D₄₇	—	8	4	no	—
186	C₄×C₄₇	—	2	1	no	—
187	C₄×C₄₇	—	2	1	no	—
188	C₄×C₄₇	—	2	1	no	—
189	C₄×C₄₇	#435	1	2	yes	—
190	C₄×C₄₇	C₂²×M₁₆	1	1	yes	characteristic
191	C₄×C₄₇	C₂×#131	1	1	yes	characteristic
192	C₄×C₄₇	#576	1	2	yes	—
193	Dic₄₇	—	4	2	no	—
194	Dic₄₇	—	4	2	no	—
195	#2975	—	47	1	no	—
196	#2972	—	47	1	no	—
197	C₂×C₄×D₈	—	47	1	no	—
198	#1586	—	47	4	no	—
199	#1581	—	47	4	no	—
200	#1564	D₄₇	1	1	yes	characteristic, complemented
201	#1478	—	47	1	no	—
202	#1478	—	47	1	no	—
203	#1452	—	47	1	no	—
204	C₂×C₄₇	—	2	2	no	—
205	C₂×C₄₇	C₂×#435	1	1	yes	characteristic
206	C₂×C₄₇	#2948	1	1	yes	characteristic
207	C₂×C₄₇	#2957	1	1	yes	characteristic
208	D₄₇	—	4	4	no	—
209	D₄₇	—	8	2	no	—
210	C₂²×D₈	—	47	1	no	—
211	C₂×C₄×D₄	—	47	1	no	—
212	C₂×C₄×D₄	—	47	1	no	—
213	C₄×D₈	—	47	2	no	—
214	C₄×D₈	—	47	2	no	—
215	C₄×D₈	—	47	2	no	—
216	C₄×D₈	—	47	2	no	—
217	#436	—	47	4	no	—
218	#436	—	94	2	no	—
219	C₈×D₄	—	47	4	no	—
220	C₈×D₄	—	94	2	no	—
221	#431	—	47	1	no	—
222	#431	—	47	1	no	—
223	#431	C₂×D₄₇	1	1	yes	characteristic
224	#431	C₂×D₄₇	1	1	yes	characteristic
225	C₂×#107	—	47	1	no	—
226	C₂×#102	—	47	1	no	—
227	C₂×#102	—	47	1	no	—
228	#407	—	94	2	no	—
229	C₂×C₂²⋊C₈	—	94	2	no	—
230	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
231	#335	C₂×D₄₇	1	2	yes	complemented
232	#334	C₂×D₄₇	1	2	yes	complemented
233	D₄⋊C₈	—	47	4	no	—
234	D₄⋊C₈	—	47	4	no	—
235	#322	—	47	2	no	—
236	#322	—	47	2	no	—
237	C₄₇	#17877	1	1	yes	characteristic, complemented, Sylow
238	C₂²×D₄	—	47	1	no	—
239	C₂²×D₄	—	47	1	no	—
240	C₂³×C₄	—	94	1	no	—
241	C₂³×C₄	—	94	1	no	—
242	C₂×D₈	—	47	2	no	—
243	C₂×D₈	—	47	2	no	—
244	C₂×D₈	—	94	4	no	—
245	C₂×M₁₆	—	94	4	no	—
246	C₂²×C₈	—	94	4	no	—
247	C₂²×C₈	C₄×D₄₇	1	1	yes	characteristic
248	C₂²×C₈	C₄×D₄₇	1	1	yes	characteristic
249	C₄×D₄	—	47	2	no	—
250	C₄×D₄	—	47	2	no	—
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	C₄×D₄	—	94	1	no	—
256	C₄×D₄	—	94	1	no	—
257	C₂×C₄⋊C₄	—	47	1	no	—
258	C₂×C₄⋊C₄	—	47	1	no	—
259	C₂×C₂²⋊C₄	—	94	1	no	—
260	C₂×C₂²⋊C₄	—	94	1	no	—
261	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
262	#107	—	47	2	no	—
263	#107	—	47	2	no	—
264	C₄⋊C₈	—	47	2	no	—
265	C₄⋊C₈	—	94	1	no	—
266	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
267	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
268	#102	—	47	2	no	—
269	#102	—	47	2	no	—
270	#102	—	47	2	no	—
271	#102	—	47	2	no	—
272	C₂²⋊C₈	—	2	1	no	—
273	C₂²⋊C₈	—	2	1	no	—
274	C₂²⋊C₈	—	47	2	no	—
275	C₂²⋊C₈	—	94	4	no	—
276	C₂²⋊C₈	—	94	4	no	—
277	C₂²⋊C₈	—	94	1	no	—
278	C₄×C₈	—	2	1	no	—
279	C₄×C₈	—	2	1	no	—
280	C₄×C₈	—	47	2	no	—
281	C₄×C₈	—	47	2	no	—
282	C₄×C₈	C₄×D₄₇	1	1	yes	characteristic
283	C₄×C₈	C₄×D₄₇	1	1	yes	characteristic
284	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
285	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
286	C₂⁴	—	94	1	no	—
287	C₂⁴	—	94	1	no	—
288	C₂×D₄	—	47	4	no	—
289	C₂×D₄	—	47	2	no	—
290	C₂×D₄	—	47	2	no	—
291	C₂×D₄	—	94	1	no	—
292	C₂×D₄	—	94	1	no	—
293	C₂×D₄	—	94	2	no	—
294	C₂×D₄	—	94	2	no	—
295	C₂×D₄	—	94	2	no	—
296	C₂²×C₄	—	94	1	no	—
297	C₂²×C₄	—	94	1	no	—
298	C₂²×C₄	—	94	2	no	—
299	C₂²×C₄	—	94	2	no	—
300	C₂²×C₄	—	94	2	no	—
301	C₂²×C₄	—	94	2	no	—
302	C₂²×C₄	—	376	2	no	—
303	C₂²×C₄	—	376	2	no	—
304	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
305	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
306	C₂²×C₄	#10625354	1	1	yes	characteristic
307	D₈	—	94	4	no	—
308	D₈	—	94	4	no	—
309	M₁₆	—	376	4	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	—	2	2	no	—
312	C₂×C₈	—	2	2	no	—
313	C₂×C₈	—	2	2	no	—
314	C₂×C₈	—	47	4	no	—
315	C₂×C₈	—	94	2	no	—
316	C₂×C₈	—	376	4	no	—
317	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
318	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
319	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
320	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
321	C₄⋊C₄	—	47	2	no	—
322	C₄⋊C₄	—	47	2	no	—
323	C₄⋊C₄	—	94	1	no	—
324	C₄⋊C₄	—	94	1	no	—
325	C₂²⋊C₄	—	94	2	no	—
326	C₂²⋊C₄	—	94	2	no	—
327	C₂²⋊C₄	—	94	2	no	—
328	C₂²⋊C₄	—	94	2	no	—
329	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
330	C₄²	D₄×D₄₇	1	1	yes	characteristic
331	C₄²	#10625354	1	1	yes	characteristic
332	C₄²	C₂³×D₄₇	1	1	yes	characteristic
333	C₂³	—	94	4	no	—
334	C₂³	—	94	2	no	—
335	C₂³	—	94	2	no	—
336	C₂³	—	376	1	no	—
337	C₂³	—	376	1	no	—
338	C₂³	—	376	1	no	—
339	C₂³	—	376	1	no	—
340	C₂³	—	188	2	no	—
341	C₂³	#13093986	1	1	yes	characteristic
342	D₄	—	47	4	no	—
343	D₄	—	94	2	no	—
344	D₄	—	94	2	no	—
345	D₄	—	94	2	no	—
346	D₄	—	94	4	no	—
347	D₄	—	188	2	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	94	2	no	—
351	C₂×C₄	—	94	2	no	—
352	C₂×C₄	—	376	2	no	—
353	C₂×C₄	—	376	2	no	—
354	C₂×C₄	—	376	1	no	—
355	C₂×C₄	—	376	1	no	—
356	C₂×C₄	—	188	4	no	—
357	C₂×C₄	—	188	4	no	—
358	C₂×C₄	#13093986	1	1	yes	characteristic
359	C₂×C₄	#13093986	1	1	yes	characteristic
360	C₂×C₄	#13093986	1	1	yes	characteristic
361	C₂×C₄	M₁₆×D₄₇	1	2	yes	—
362	C₂×C₄	#13094030	1	2	yes	—
363	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
364	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
365	C₂×C₄	C₂×#10625354	1	1	yes	characteristic
366	C₈	—	2	1	no	—
367	C₈	—	2	1	no	—
368	C₈	—	2	1	no	—
369	C₈	—	2	1	no	—
370	C₈	—	4	2	no	—
371	C₈	—	4	2	no	—
372	C₈	—	94	4	no	—
373	C₈	—	188	2	no	—
374	C₂²	—	2	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	94	4	no	—
377	C₂²	—	376	4	no	—
378	C₂²	—	376	4	no	—
379	C₂²	—	188	2	no	—
380	C₂²	—	188	2	no	—
381	C₂²	—	188	2	no	—
382	C₂²	—	188	2	no	—
383	C₂²	—	188	2	no	—
384	C₂²	#15689193	1	2	yes	—
385	C₂²	C₂×#13093986	1	1	yes	characteristic
386	C₄	—	2	1	no	—
387	C₄	—	2	1	no	—
388	C₄	—	2	1	no	—
389	C₄	—	188	2	no	—
390	C₄	—	188	2	no	—
391	C₄	#15689193	1	2	yes	—
392	C₄	C₂×M₁₆×D₄₇	1	1	yes	characteristic
393	C₄	C₂×#13094030	1	1	yes	characteristic
394	C₄	#15689925	1	2	yes	—
395	C₂	—	2	2	no	—
396	C₂	—	376	2	no	—
397	C₂	—	188	4	no	—
398	C₂	C₂×#15689193	1	1	yes	characteristic
399	C₂	#20252239	1	1	yes	characteristic
400	C₂	#20252304	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×#1564	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	C₂²×D₃₇₆	C₄
cosocle	C₄²×C₄₇	C₂⁴
hypercenter	#1564	D₄₇
hypocenter	C₄₇	#17877
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1564

Complements

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

N	H ≅ G/N	type
1. #20252428	C₂	semidirect
2. #20252411	C₂	semidirect
4. #20242251	C₂	semidirect
5. #20242216	C₂	semidirect
6. #20241778	C₂	semidirect
7. #20241778	C₂	semidirect
8. #20241680	C₂	semidirect
9. C₄₇×#1564	C₂	semidirect
18. #15689200	C₂²	semidirect
20. #15689188	C₂²	semidirect
28. #15688850	C₂²	semidirect
29. #15688850	C₂²	semidirect
30. #15688845	C₂²	semidirect
31. #15688845	C₂²	semidirect
35. C₄₇×#335	C₂²	semidirect
36. C₄₇×#334	C₂²	semidirect
97. C₂×D₁₈₈	M₁₆	semidirect
200. #1564	D₄₇	semidirect
231. #335	C₂×D₄₇	semidirect
232. #334	C₂×D₄₇	semidirect
237. C₄₇	#17877	semidirect

Maximal subgroups

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

subgroup	index
#20252428	2
#20252411	2
C₂×C₄×D₃₇₆	2
#20242251	2
#20242216	2
#20241778	2
#20241680	2
C₄₇×#1564	2
#17877	47