Subgroups — #26186401

Order 12032.

678 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20253384	C₂	1	1	yes	maximal, characteristic
2	#20252464	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252411	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242255	C₂	1	2	yes	maximal, complemented
5	#20242220	C₂	1	2	yes	maximal, complemented
6	#20242209	C₂	1	2	yes	maximal, complemented
7	#20242180	C₂	1	2	yes	maximal, complemented
8	#20242166	C₂	1	1	yes	maximal, characteristic, complemented
9	#20241832	C₂	1	1	yes	maximal, characteristic, complemented
10	#20241685	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#1484	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
13	#15689434	C₄	1	2	yes	—
14	#15689400	C₄	1	2	yes	—
15	#15689315	C₄	1	2	yes	—
16	#15689256	C₄	1	2	yes	—
17	C₄×#10625334	C₂²	1	2	yes	—
18	C₄×#10625334	C₂²	1	2	yes	—
19	#15689201	C₂²	1	2	yes	complemented
20	#15689195	—	2	2	no	—
21	C₈×D₁₈₈	—	2	2	no	—
22	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
23	#15689188	C₂²	1	2	yes	—
24	#15689188	C₂²	1	2	yes	—
25	#15689180	C₂²	1	1	yes	characteristic
26	#15689176	C₂²	1	1	yes	characteristic
27	#15689176	C₂²	1	1	yes	characteristic
28	#15689090	—	2	2	no	—
29	C₂²⋊C₈×D₄₇	—	2	2	no	—
30	#15688875	C₂²	1	2	yes	complemented
31	#15688873	C₂²	1	2	yes	complemented
32	#15688852	C₂²	1	2	yes	—
33	#15688852	C₂²	1	2	yes	—
34	#15688845	C₂²	1	1	yes	characteristic, complemented
35	#15688845	C₂²	1	1	yes	characteristic, complemented
36	#15688844	C₂²	1	1	yes	characteristic, complemented
37	C₈×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
38	C₄₇×#532	C₂²	1	1	yes	characteristic
39	C₄₇×#431	C₂²	1	1	yes	characteristic
40	C₄×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
41	C₄₇×D₄⋊C₈	C₂²	1	2	yes	complemented
42	C₄₇×D₄⋊C₈	C₂²	1	2	yes	complemented
43	C₂²×D₁₈₈	C₂×C₄	1	1	yes	characteristic
44	C₂²×C₄×D₄₇	—	2	1	no	—
45	C₂×#10625334	C₂×C₄	1	2	yes	—
46	C₂×#10625334	C₂×C₄	1	2	yes	—
47	C₂×#10625329	—	2	2	no	—
48	C₂²×C₄₇⋊C₈	—	2	2	no	—
49	C₂×C₈×D₄₇	—	2	2	no	—
50	C₂×C₈×D₄₇	—	2	2	no	—
51	C₄×D₁₈₈	—	2	1	no	—
52	C₄×D₁₈₈	—	2	1	no	—
53	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
54	C₄×D₁₈₈	C₂³	1	2	yes	—
55	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
56	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
57	#13093957	C₂×C₄	1	2	yes	—
58	#13093957	C₂×C₄	1	2	yes	—
59	C₄⋊(C₄₇⋊C₈)	C₂×C₄	1	2	yes	—
60	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
61	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
62	#13093945	C₂×C₄	1	2	yes	—
63	#13093945	C₂×C₄	1	2	yes	—
64	#13093944	C₂×C₄	1	2	yes	—
65	#13093944	C₂×C₄	1	2	yes	—
66	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
67	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
68	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
69	C₂²⋊(C₄₇⋊C₈)	C₂×C₄	1	2	yes	—
70	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
71	(C₂×D₄₇)⋊C₈	—	2	2	no	—
72	(C₂×D₄₇)⋊C₈	—	2	2	no	—
73	#13093935	—	2	1	no	—
74	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
75	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
76	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
77	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
78	C₂×#41×C₄₇	—	2	1	no	—
79	C₂×M₁₆×C₄₇	—	2	1	no	—
80	C₄⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
81	#127×C₄₇	C₂×C₄	1	1	yes	characteristic
82	#124×C₄₇	—	2	1	no	—
83	#121×C₄₇	—	2	1	no	—
84	#121×C₄₇	C₂×C₄	1	2	yes	—
85	C₄×D₄×C₄₇	—	2	1	no	—
86	C₄×D₄×C₄₇	C₂³	1	2	yes	—
87	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
89	C₂²⋊C₈×C₄₇	—	2	1	no	—
90	#97×C₄₇	—	2	1	no	—
91	C₄×C₈×C₄₇	—	2	1	no	—
92	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
93	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
94	C₂³×D₄₇	—	2	1	no	—
95	#41×C₄₇	—	8	2	no	—
96	C₂×Q₈×C₄₇	—	2	1	no	—
97	C₂×D₄×C₄₇	—	2	2	no	—
98	C₂×D₄×C₄₇	—	2	1	no	—
99	C₂×D₄×C₄₇	—	2	1	no	—
100	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
101	C₂²×C₄×C₄₇	—	2	2	no	—
102	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
103	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
105	C₂²×Dic₄₇	—	2	1	no	—
106	C₂×D₁₈₈	—	2	1	no	—
107	C₂×D₁₈₈	—	2	4	no	—
108	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
109	C₂×C₄×D₄₇	—	2	2	no	—
110	C₂×C₄×D₄₇	—	2	2	no	—
111	C₂×C₄×D₄₇	—	8	2	no	—
112	M₁₆×C₄₇	—	4	2	no	—
113	C₂×C₈×C₄₇	—	2	1	no	—
114	C₂×C₈×C₄₇	—	2	2	no	—
115	C₂×C₈×C₄₇	—	2	1	no	—
116	C₄⋊C₄×C₄₇	—	2	1	no	—
117	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
118	C₂²⋊C₄×C₄₇	—	2	2	no	—
119	C₂²⋊C₄×C₄₇	—	2	2	no	—
120	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
121	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₄₇	#41	1	1	yes	characteristic
123	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
124	#10625334	—	2	4	no	—
125	#10625334	—	2	4	no	—
126	(C₂×D₄₇)⋊C₄	—	2	2	no	—
127	(C₂×D₄₇)⋊C₄	—	2	2	no	—
128	C₄⋊Dic₄₇	—	2	1	no	—
129	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
130	#10625329	—	8	2	no	—
131	C₂×C₄₇⋊C₈	—	2	2	no	—
132	C₂×C₄₇⋊C₈	—	8	2	no	—
133	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
134	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
135	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
136	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
137	C₈×D₄₇	—	8	2	no	—
138	C₈×D₄₇	—	8	2	no	—
139	C₂³×C₄₇	—	2	2	no	—
140	C₂³×C₄₇	C₄×D₄	1	1	yes	characteristic
141	C₂²×D₄₇	—	2	2	no	—
142	C₂²×D₄₇	—	2	4	no	—
143	C₂²×D₄₇	—	8	1	no	—
144	C₂²×D₄₇	—	8	1	no	—
145	Q₈×C₄₇	—	8	1	no	—
146	D₄×C₄₇	—	2	2	no	—
147	D₄×C₄₇	—	2	2	no	—
148	D₄×C₄₇	—	8	1	no	—
149	D₄×C₄₇	—	8	1	no	—
150	D₄×C₄₇	—	8	2	no	—
151	C₂×C₄×C₄₇	—	2	2	no	—
152	C₂×C₄×C₄₇	—	2	2	no	—
153	C₂×C₄×C₄₇	—	2	2	no	—
154	C₂×C₄×C₄₇	—	4	1	no	—
155	C₂×C₄×C₄₇	—	4	2	no	—
156	C₂×C₄×C₄₇	—	4	2	no	—
157	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
158	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
159	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
160	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
161	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
163	C₂×Dic₄₇	—	2	2	no	—
164	C₂×Dic₄₇	—	8	1	no	—
165	D₁₈₈	—	2	4	no	—
166	D₁₈₈	—	2	2	no	—
167	D₁₈₈	#131	1	4	yes	—
168	C₄×D₄₇	—	4	2	no	—
169	C₄×D₄₇	—	4	2	no	—
170	C₄×D₄₇	—	8	2	no	—
171	C₈×C₄₇	—	2	2	no	—
172	C₈×C₄₇	—	4	1	no	—
173	C₈×C₄₇	—	4	2	no	—
174	C₄₇⋊C₈	—	2	2	no	—
175	C₄₇⋊C₈	—	2	2	no	—
176	C₄₇⋊C₈	—	2	2	no	—
177	C₄₇⋊C₈	—	2	2	no	—
178	C₄₇⋊C₈	—	4	2	no	—
179	#17922	—	47	1	no	maximal, Sylow
180	C₂²×C₄₇	—	2	1	no	—
181	C₂²×C₄₇	—	2	1	no	—
182	C₂²×C₄₇	—	2	1	no	—
183	C₂²×C₄₇	—	4	2	no	—
184	C₂²×C₄₇	—	4	2	no	—
185	C₂²×C₄₇	—	4	2	no	—
186	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
187	C₂×D₄₇	—	2	4	no	—
188	C₂×D₄₇	—	4	2	no	—
189	C₂×D₄₇	—	4	2	no	—
190	C₂×D₄₇	—	8	4	no	—
191	C₄×C₄₇	—	2	1	no	—
192	C₄×C₄₇	—	2	1	no	—
193	C₄×C₄₇	—	2	1	no	—
194	C₄×C₄₇	—	2	1	no	—
195	C₄×C₄₇	—	4	2	no	—
196	C₄×C₄₇	C₂×#131	1	2	yes	—
197	C₄×C₄₇	#576	1	2	yes	—
198	Dic₄₇	—	4	2	no	—
199	#3100	—	47	1	no	—
200	#2981	—	47	1	no	—
201	#2972	—	47	1	no	—
202	#1586	—	47	2	no	—
203	#1581	—	47	2	no	—
204	#1580	—	47	2	no	—
205	C₈×D₈	—	47	2	no	—
206	#1572	—	47	1	no	—
207	#1490	—	47	1	no	—
208	#1484	D₄₇	1	1	yes	characteristic, complemented
209	#1453	—	47	1	no	—
210	C₂×C₄₇	—	4	1	no	—
211	C₂×C₄₇	—	8	2	no	—
212	C₂×C₄₇	#2929	1	1	yes	characteristic
213	C₂×C₄₇	#2948	1	1	yes	characteristic
214	C₂×C₄₇	#2956	1	1	yes	characteristic
215	D₄₇	—	4	4	no	—
216	#532	C₂×D₄₇	1	1	yes	characteristic
217	C₂×C₄×D₄	—	47	1	no	—
218	#480	—	47	2	no	—
219	#474	—	47	2	no	—
220	#459	—	47	2	no	—
221	#447	—	47	2	no	—
222	C₄×D₈	—	47	2	no	—
223	C₄×D₈	—	47	2	no	—
224	#436	—	47	2	no	—
225	#435	—	94	2	no	—
226	C₈×D₄	—	47	2	no	—
227	C₈×D₄	—	47	2	no	—
228	C₈×D₄	—	47	2	no	—
229	C₈×D₄	—	94	2	no	—
230	#432	—	47	1	no	—
231	#431	—	47	1	no	—
232	#431	—	47	1	no	—
233	#431	C₂×D₄₇	1	1	yes	characteristic
234	#408	—	94	2	no	—
235	C₂×C₂²⋊C₈	—	94	2	no	—
236	C₄×M₁₆	C₂×D₄₇	1	1	yes	characteristic
237	#335	—	47	2	no	—
238	#334	—	47	2	no	—
239	D₄⋊C₈	—	47	2	no	—
240	D₄⋊C₈	—	47	2	no	—
241	D₄⋊C₈	C₂×D₄₇	1	2	yes	complemented
242	D₄⋊C₈	C₂×D₄₇	1	2	yes	complemented
243	#322	—	47	1	no	—
244	#322	—	47	1	no	—
245	#322	—	47	1	no	—
246	C₈²	—	47	1	no	—
247	C₄₇	#17922	1	1	yes	characteristic, complemented, Sylow
248	C₂×#41	—	2	1	no	—
249	C₂²×D₄	—	47	1	no	—
250	C₂³×C₄	—	94	1	no	—
251	C₂×D₈	—	47	2	no	—
252	C₂×D₈	—	47	2	no	—
253	C₂×M₁₆	—	2	1	no	—
254	C₂×M₁₆	—	94	2	no	—
255	C₂²×C₈	—	94	2	no	—
256	C₂²×C₈	—	94	2	no	—
257	C₂²×C₈	—	94	2	no	—
258	C₄⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
259	#127	C₄×D₄₇	1	1	yes	characteristic
260	#124	—	2	1	no	—
261	#121	—	2	1	no	—
262	#121	C₄×D₄₇	1	2	yes	—
263	C₄×D₄	—	2	1	no	—
264	C₄×D₄	—	47	2	no	—
265	C₄×D₄	—	47	2	no	—
266	C₄×D₄	—	94	1	no	—
267	C₄×D₄	—	94	1	no	—
268	C₄×D₄	C₂²×D₄₇	1	2	yes	—
269	C₂×C₄⋊C₄	—	47	1	no	—
270	C₂×C₂²⋊C₄	—	94	1	no	—
271	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
272	#107	—	47	2	no	—
273	#107	—	47	2	no	—
274	C₄⋊C₈	—	47	2	no	—
275	C₄⋊C₈	—	47	2	no	—
276	C₄⋊C₈	—	47	2	no	—
277	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
278	#102	—	47	2	no	—
279	#102	—	47	2	no	—
280	#102	—	47	2	no	—
281	#102	—	47	2	no	—
282	C₂²⋊C₈	—	2	1	no	—
283	C₂²⋊C₈	—	47	2	no	—
284	C₂²⋊C₈	—	47	2	no	—
285	C₂²⋊C₈	—	94	2	no	—
286	C₂²⋊C₈	—	94	2	no	—
287	C₂²⋊C₈	—	94	2	no	—
288	C₂²⋊C₈	—	94	2	no	—
289	C₂²⋊C₈	—	94	1	no	—
290	#97	—	2	1	no	—
291	#97	—	94	1	no	—
292	C₄×C₈	—	2	1	no	—
293	C₄×C₈	—	47	1	no	—
294	C₄×C₈	—	47	1	no	—
295	C₄×C₈	—	47	1	no	—
296	C₄×C₈	—	47	1	no	—
297	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
298	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
299	C₂⁴	—	94	1	no	—
300	#41	—	8	2	no	—
301	C₂×Q₈	—	2	1	no	—
302	C₂×D₄	—	2	2	no	—
303	C₂×D₄	—	2	1	no	—
304	C₂×D₄	—	2	1	no	—
305	C₂×D₄	—	47	2	no	—
306	C₂×D₄	—	94	4	no	—
307	C₂×D₄	—	94	1	no	—
308	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
309	C₂²×C₄	—	2	2	no	—
310	C₂²×C₄	—	94	1	no	—
311	C₂²×C₄	—	94	2	no	—
312	C₂²×C₄	—	94	2	no	—
313	C₂²×C₄	—	376	2	no	—
314	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
315	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
316	C₂²×C₄	#10625352	1	1	yes	characteristic
317	D₈	—	94	4	no	—
318	D₈	—	94	4	no	—
319	M₁₆	—	4	2	no	—
320	M₁₆	—	376	2	no	—
321	C₂×C₈	—	2	1	no	—
322	C₂×C₈	—	2	2	no	—
323	C₂×C₈	—	2	1	no	—
324	C₂×C₈	—	47	2	no	—
325	C₂×C₈	—	47	2	no	—
326	C₂×C₈	—	47	2	no	—
327	C₂×C₈	—	47	2	no	—
328	C₂×C₈	—	94	2	no	—
329	C₂×C₈	—	376	2	no	—
330	C₂×C₈	—	376	2	no	—
331	C₂×C₈	—	376	2	no	—
332	C₄⋊C₄	—	2	1	no	—
333	C₄⋊C₄	—	47	2	no	—
334	C₄⋊C₄	—	94	1	no	—
335	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
336	C₂²⋊C₄	—	2	2	no	—
337	C₂²⋊C₄	—	2	2	no	—
338	C₂²⋊C₄	—	94	2	no	—
339	C₂²⋊C₄	—	94	2	no	—
340	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
341	C₄²	D₄×D₄₇	1	1	yes	characteristic
342	C₄²	#10625352	1	1	yes	characteristic
343	C₄²	C₂³×D₄₇	1	1	yes	characteristic
344	C₂³	—	2	2	no	—
345	C₂³	—	94	4	no	—
346	C₂³	—	94	2	no	—
347	C₂³	—	376	1	no	—
348	C₂³	—	376	1	no	—
349	C₂³	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
350	Q₈	—	8	1	no	—
351	D₄	—	2	2	no	—
352	D₄	—	2	2	no	—
353	D₄	—	8	1	no	—
354	D₄	—	8	1	no	—
355	D₄	—	8	2	no	—
356	D₄	—	47	4	no	—
357	D₄	—	94	4	no	—
358	D₄	—	94	2	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	2	2	no	—
362	C₂×C₄	—	4	1	no	—
363	C₂×C₄	—	4	2	no	—
364	C₂×C₄	—	4	2	no	—
365	C₂×C₄	—	94	2	no	—
366	C₂×C₄	—	376	2	no	—
367	C₂×C₄	—	376	1	no	—
368	C₂×C₄	—	188	2	no	—
369	C₂×C₄	—	188	2	no	—
370	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
371	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
372	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
373	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
374	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
375	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
376	C₈	—	2	2	no	—
377	C₈	—	4	1	no	—
378	C₈	—	4	2	no	—
379	C₈	—	94	2	no	—
380	C₈	—	94	2	no	—
381	C₈	—	94	2	no	—
382	C₈	—	94	2	no	—
383	C₈	—	188	2	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	2	1	no	—
387	C₂²	—	4	2	no	—
388	C₂²	—	4	2	no	—
389	C₂²	—	4	2	no	—
390	C₂²	—	94	4	no	—
391	C₂²	—	376	4	no	—
392	C₂²	—	188	2	no	—
393	C₂²	—	188	2	no	—
394	C₂²	C₂×(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	4	2	no	—
400	C₄	—	188	2	no	—
401	C₄	#131×D₄₇	1	2	yes	—
402	C₄	#15689927	1	2	yes	—
403	C₂	—	4	1	no	—
404	C₂	—	8	2	no	—
405	C₂	—	188	4	no	—
406	C₂	#20252085	1	1	yes	characteristic
407	C₂	#20252236	1	1	yes	characteristic
408	C₂	#20252294	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×#1484	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	#20253384	C₂
cosocle	C₄²×C₄₇	C₂⁴
hypercenter	#1484	D₄₇
hypocenter	C₄₇	#17922
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1484

Complements

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

N	H ≅ G/N	type
2. #20252464	C₂	semidirect
3. #20252411	C₂	semidirect
4. #20242255	C₂	semidirect
5. #20242220	C₂	semidirect
6. #20242209	C₂	semidirect
7. #20242180	C₂	semidirect
8. #20242166	C₂	semidirect
9. #20241832	C₂	semidirect
10. #20241685	C₂	semidirect
11. C₄₇×#1484	C₂	semidirect
19. #15689201	C₂²	semidirect
22. D₄×C₄₇⋊C₈	C₂²	semidirect
30. #15688875	C₂²	semidirect
31. #15688873	C₂²	semidirect
34. #15688845	C₂²	semidirect
35. #15688845	C₂²	semidirect
36. #15688844	C₂²	semidirect
37. C₈×C₄₇⋊C₈	C₂²	semidirect
41. C₄₇×D₄⋊C₈	C₂²	semidirect
42. C₄₇×D₄⋊C₈	C₂²	semidirect
208. #1484	D₄₇	semidirect
241. D₄⋊C₈	C₂×D₄₇	semidirect
242. D₄⋊C₈	C₂×D₄₇	semidirect
247. C₄₇	#17922	semidirect

Maximal subgroups

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

subgroup	index
#20253384	2
#20252464	2
#20252411	2
#20242255	2
#20242220	2
#20242209	2
#20242180	2
#20242166	2
#20241832	2
#20241685	2
C₄₇×#1484	2
#17922	47