Subgroups — #26186398

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	#20253388	C₂	1	1	yes	maximal, characteristic
2	#20252463	C₂	1	1	yes	maximal, characteristic, complemented
3	#20242252	C₂	1	2	yes	maximal, complemented
4	#20242217	C₂	1	2	yes	maximal, complemented
5	#20242210	C₂	1	2	yes	maximal, complemented
6	C₈×#10625334	C₂	1	2	yes	maximal, complemented
7	#20242166	C₂	1	1	yes	maximal, characteristic, complemented
8	#20241831	C₂	1	1	yes	maximal, characteristic, complemented
9	#20241804	C₂	1	1	yes	maximal, characteristic, complemented
10	#20241683	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#2972	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689673	C₂²	1	1	yes	characteristic
13	#15689436	C₄	1	2	yes	—
14	#15689403	C₄	1	2	yes	—
15	#15689318	C₄	1	2	yes	—
16	#15689257	C₄	1	2	yes	—
17	C₄×#10625334	C₂²	1	2	yes	—
18	C₄×#10625334	C₂²	1	2	yes	—
19	#15689202	C₂²	1	2	yes	complemented
20	#15689193	—	2	2	no	—
21	C₈×D₁₈₈	C₂²	1	2	yes	complemented
22	#15689180	C₂²	1	1	yes	characteristic
23	#15689176	C₂²	1	1	yes	characteristic
24	#15689088	—	2	2	no	—
25	C₄×#10625329	C₂²	1	1	yes	characteristic
26	#15688875	C₂²	1	2	yes	complemented
27	#15688873	C₂²	1	2	yes	complemented
28	D₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
29	D₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
30	#15688850	C₂²	1	2	yes	complemented
31	#15688850	C₂²	1	2	yes	complemented
32	#15688845	C₂²	1	1	yes	characteristic, complemented
33	#15688845	C₂²	1	1	yes	characteristic, complemented
34	#15688844	C₂²	1	1	yes	characteristic, complemented
35	C₈×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
37	C₈×D₄×C₄₇	—	2	2	no	—
38	C₈×D₄×C₄₇	C₂²	1	2	yes	—
39	C₈×D₄×C₄₇	C₂²	1	2	yes	—
40	C₄₇×#431	C₂²	1	1	yes	characteristic
41	C₄₇×#431	C₂²	1	1	yes	characteristic
42	C₂×C₂²⋊C₈×C₄₇	—	2	2	no	—
43	C₂×#10625350	—	2	1	no	—
44	C₂×#10625334	C₂×C₄	1	2	yes	—
45	C₂×#10625334	C₂×C₄	1	2	yes	—
46	C₂×#10625329	—	2	1	no	—
47	C₂×#10625324	—	2	2	no	—
48	C₂×C₈×D₄₇	—	2	2	no	—
49	#13094024	C₂×C₄	1	1	yes	characteristic
50	#13094021	C₂×C₄	1	1	yes	characteristic
51	#13094012	—	2	1	no	—
52	#13093998	—	2	1	no	—
53	#13093998	C₂×C₄	1	2	yes	—
54	C₄×D₁₈₈	—	2	1	no	—
55	C₄×D₁₈₈	C₂³	1	2	yes	—
56	#13093957	C₂×C₄	1	2	yes	—
57	#13093957	C₂×C₄	1	2	yes	—
58	C₄⋊(C₄₇⋊C₈)	C₂×C₄	1	2	yes	—
59	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
60	#13093945	C₂×C₄	1	2	yes	—
61	#13093945	C₂×C₄	1	2	yes	—
62	#13093944	C₂×C₄	1	2	yes	—
63	#13093944	C₂×C₄	1	2	yes	—
64	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
65	C₂²⋊(C₄₇⋊C₈)	C₂×C₄	1	2	yes	—
66	(C₂×D₄₇)⋊C₈	—	2	2	no	—
67	(C₂×D₄₇)⋊C₈	—	2	2	no	—
68	#13093935	—	2	1	no	—
69	#13093935	—	2	1	no	—
70	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
71	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
72	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
73	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
74	C₂²×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
75	C₂³×C₄×C₄₇	—	2	1	no	—
76	C₂²×C₈×C₄₇	—	2	2	no	—
77	C₂²×C₈×C₄₇	—	2	2	no	—
78	C₄×D₄×C₄₇	—	2	1	no	—
79	C₄×D₄×C₄₇	—	2	1	no	—
80	C₄×D₄×C₄₇	C₂×C₄	1	2	yes	—
81	C₄×D₄×C₄₇	C₂³	1	2	yes	—
82	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
83	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
84	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
85	C₄⋊C₈×C₄₇	D₄	1	2	yes	—
86	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
87	C₂²⋊C₈×C₄₇	—	2	1	no	—
88	C₂²⋊C₈×C₄₇	—	2	2	no	—
89	C₂²⋊C₈×C₄₇	—	2	2	no	—
90	C₂²⋊C₈×C₄₇	D₄	1	2	yes	—
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	C₂⁴×C₄₇	—	2	1	no	—
95	C₂×D₄×C₄₇	—	2	4	no	—
96	C₂×D₄×C₄₇	—	2	1	no	—
97	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
98	C₂²×C₄×C₄₇	—	2	1	no	—
99	C₂²×C₄×C₄₇	—	2	2	no	—
100	C₂²×C₄×C₄₇	—	2	2	no	—
101	C₂²×C₄×C₄₇	—	8	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	C₂×C₂²⋊D₄₇	—	2	2	no	—
106	#10625350	—	8	2	no	—
107	C₂×D₁₈₈	—	2	1	no	—
108	C₂×D₁₈₈	—	2	1	no	—
109	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
110	C₂×C₄×D₄₇	—	2	2	no	—
111	C₂×Dic₉₄	—	2	1	no	—
112	C₂×C₈×C₄₇	—	2	2	no	—
113	C₂×C₈×C₄₇	—	8	2	no	—
114	C₂×C₈×C₄₇	—	8	2	no	—
115	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
116	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
117	C₄⋊C₄×C₄₇	—	2	1	no	—
118	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
119	C₂²⋊C₄×C₄₇	—	2	2	no	—
120	C₂²⋊C₄×C₄₇	—	2	2	no	—
121	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
122	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₄₇	#41	1	1	yes	characteristic
124	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
125	#10625334	—	2	4	no	—
126	#10625334	—	2	4	no	—
127	(C₂×D₄₇)⋊C₄	—	2	2	no	—
128	(C₂×D₄₇)⋊C₄	—	2	2	no	—
129	C₄⋊Dic₄₇	—	2	1	no	—
130	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
131	#10625329	—	4	2	no	—
132	C₂×C₄₇⋊C₈	—	2	1	no	—
133	C₂×C₄₇⋊C₈	—	2	2	no	—
134	C₂×C₄₇⋊C₈	—	2	1	no	—
135	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
136	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
137	#10625324	—	8	2	no	—
138	C₈×D₄₇	—	8	2	no	—
139	C₂³×C₄₇	—	2	4	no	—
140	C₂³×C₄₇	—	2	2	no	—
141	C₂³×C₄₇	—	8	1	no	—
142	C₂³×C₄₇	—	8	1	no	—
143	C₂³×C₄₇	C₄×D₄	1	1	yes	characteristic
144	C₂²×D₄₇	—	2	2	no	—
145	D₄×C₄₇	—	2	4	no	—
146	D₄×C₄₇	—	2	2	no	—
147	D₄×C₄₇	#131	1	4	yes	—
148	C₂×C₄×C₄₇	—	2	2	no	—
149	C₂×C₄×C₄₇	—	2	2	no	—
150	C₂×C₄×C₄₇	—	2	2	no	—
151	C₂×C₄×C₄₇	—	4	1	no	—
152	C₂×C₄×C₄₇	—	4	2	no	—
153	C₂×C₄×C₄₇	—	4	2	no	—
154	C₂×C₄×C₄₇	—	8	2	no	—
155	C₂×C₄×C₄₇	—	8	1	no	—
156	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
157	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
158	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
159	C₂×C₄×C₄₇	C₂³×C₄	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	C₂²⋊D₄₇	—	8	2	no	—
163	C₂×Dic₄₇	—	2	2	no	—
164	D₁₈₈	—	2	2	no	—
165	D₁₈₈	—	2	2	no	—
166	D₁₈₈	—	8	1	no	—
167	D₁₈₈	—	8	1	no	—
168	C₄×D₄₇	—	4	2	no	—
169	C₄×D₄₇	—	4	2	no	—
170	Dic₉₄	—	8	1	no	—
171	C₈×C₄₇	—	2	2	no	—
172	C₈×C₄₇	—	2	2	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	—	4	1	no	—
178	C₄₇⋊C₈	—	4	2	no	—
179	#17922	—	47	1	no	maximal, Sylow
180	C₂²×C₄₇	—	2	1	no	—
181	C₂²×C₄₇	—	2	4	no	—
182	C₂²×C₄₇	—	2	1	no	—
183	C₂²×C₄₇	—	2	1	no	—
184	C₂²×C₄₇	—	4	2	no	—
185	C₂²×C₄₇	—	4	2	no	—
186	C₂²×C₄₇	—	8	4	no	—
187	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
188	C₂×D₄₇	—	4	2	no	—
189	C₂×D₄₇	—	4	2	no	—
190	C₂×D₄₇	—	4	2	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	D₄₇	1	1	yes	characteristic, complemented
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	—	47	1	no	—
209	#1453	—	47	1	no	—
210	C₂×C₄₇	—	4	1	no	—
211	C₂×C₄₇	—	4	4	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	—	8	2	no	—
216	#532	—	47	1	no	—
217	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
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	—	2	2	no	—
227	C₈×D₄	—	47	2	no	—
228	C₈×D₄	C₂×D₄₇	1	2	yes	—
229	C₈×D₄	C₂×D₄₇	1	2	yes	—
230	#432	—	47	1	no	—
231	#431	—	47	1	no	—
232	#431	C₂×D₄₇	1	1	yes	characteristic
233	#431	C₂×D₄₇	1	1	yes	characteristic
234	#408	—	94	2	no	—
235	C₂×C₂²⋊C₈	—	2	2	no	—
236	C₄×M₁₆	—	47	1	no	—
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	—	47	2	no	—
242	D₄⋊C₈	—	47	2	no	—
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	—	94	1	no	—
249	C₂²×D₄	C₄×D₄₇	1	1	yes	characteristic
250	C₂³×C₄	—	2	1	no	—
251	C₂×D₈	—	47	2	no	—
252	C₂×D₈	—	47	2	no	—
253	C₂×M₁₆	—	94	1	no	—
254	C₂×M₁₆	—	94	2	no	—
255	C₂²×C₈	—	2	2	no	—
256	C₂²×C₈	—	2	2	no	—
257	C₂²×C₈	—	94	2	no	—
258	C₄⋊Q₈	—	47	1	no	—
259	#127	—	47	1	no	—
260	#124	—	94	1	no	—
261	#121	—	47	2	no	—
262	#121	—	94	1	no	—
263	C₄×D₄	—	2	1	no	—
264	C₄×D₄	—	2	1	no	—
265	C₄×D₄	—	47	2	no	—
266	C₄×D₄	—	94	1	no	—
267	C₄×D₄	C₄×D₄₇	1	2	yes	—
268	C₄×D₄	C₂²×D₄₇	1	2	yes	—
269	C₂×C₄⋊C₄	C₄×D₄₇	1	1	yes	characteristic
270	C₂×C₂²⋊C₄	—	2	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	C₂²⋊D₄₇	1	2	yes	—
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	—	2	2	no	—
284	C₂²⋊C₈	—	2	2	no	—
285	C₂²⋊C₈	—	47	2	no	—
286	C₂²⋊C₈	—	94	1	no	—
287	C₂²⋊C₈	—	94	2	no	—
288	C₂²⋊C₈	—	94	2	no	—
289	C₂²⋊C₈	C₂²⋊D₄₇	1	2	yes	—
290	#97	—	94	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	—	2	1	no	—
300	#41	—	376	2	no	—
301	C₂×Q₈	—	94	1	no	—
302	C₂×D₄	—	2	4	no	—
303	C₂×D₄	—	2	1	no	—
304	C₂×D₄	—	47	2	no	—
305	C₂×D₄	—	94	2	no	—
306	C₂×D₄	—	94	1	no	—
307	C₂×D₄	—	94	1	no	—
308	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
309	C₂²×C₄	—	2	1	no	—
310	C₂²×C₄	—	2	2	no	—
311	C₂²×C₄	—	2	2	no	—
312	C₂²×C₄	—	8	2	no	—
313	C₂²×C₄	—	94	2	no	—
314	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
315	C₂²×C₄	#10625350	1	1	yes	characteristic
316	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
317	D₈	—	94	4	no	—
318	D₈	—	94	4	no	—
319	M₁₆	—	376	2	no	—
320	M₁₆	—	188	2	no	—
321	C₂×C₈	—	2	2	no	—
322	C₂×C₈	—	8	2	no	—
323	C₂×C₈	—	8	2	no	—
324	C₂×C₈	—	47	2	no	—
325	C₂×C₈	—	47	2	no	—
326	C₂×C₈	—	94	1	no	—
327	C₂×C₈	—	94	2	no	—
328	C₂×C₈	—	94	1	no	—
329	C₂×C₈	—	376	2	no	—
330	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
331	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
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	#10625350	1	1	yes	characteristic
342	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
343	C₄²	C₂³×D₄₇	1	1	yes	characteristic
344	C₂³	—	2	4	no	—
345	C₂³	—	2	2	no	—
346	C₂³	—	8	1	no	—
347	C₂³	—	8	1	no	—
348	C₂³	—	94	2	no	—
349	C₂³	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
350	Q₈	—	376	1	no	—
351	D₄	—	2	4	no	—
352	D₄	—	2	2	no	—
353	D₄	—	94	2	no	—
354	D₄	—	94	2	no	—
355	D₄	—	376	1	no	—
356	D₄	—	376	1	no	—
357	D₄	—	376	2	no	—
358	D₄	#13094030	1	4	yes	—
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	—	8	2	no	—
366	C₂×C₄	—	8	1	no	—
367	C₂×C₄	—	94	2	no	—
368	C₂×C₄	—	188	2	no	—
369	C₂×C₄	—	188	2	no	—
370	C₂×C₄	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
371	C₂×C₄	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
372	C₂×C₄	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
373	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
374	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
375	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
376	C₈	—	2	2	no	—
377	C₈	—	2	2	no	—
378	C₈	—	4	2	no	—
379	C₈	—	94	2	no	—
380	C₈	—	94	2	no	—
381	C₈	—	94	2	no	—
382	C₈	—	188	1	no	—
383	C₈	—	188	2	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	2	1	no	—
387	C₂²	—	2	4	no	—
388	C₂²	—	4	2	no	—
389	C₂²	—	4	2	no	—
390	C₂²	—	8	4	no	—
391	C₂²	—	188	2	no	—
392	C₂²	—	188	2	no	—
393	C₂²	—	188	2	no	—
394	C₂²	C₂×C₄×C₂²⋊D₄₇	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	C₂×#13094030	1	2	yes	—
402	C₄	#15689926	1	2	yes	—
403	C₂	—	4	1	no	—
404	C₂	—	4	4	no	—
405	C₂	—	376	2	no	—
406	C₂	#20252082	1	1	yes	characteristic
407	C₂	#20252238	1	1	yes	characteristic
408	C₂	#20252295	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#2972	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	#20253388	C₂
cosocle	C₄²×C₄₇	C₂⁴
hypercenter	#2972	D₄₇
hypocenter	C₄₇	#17922
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #431 ◁ #2972

Complements

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

N	H ≅ G/N	type
2. #20252463	C₂	semidirect
3. #20242252	C₂	semidirect
4. #20242217	C₂	semidirect
5. #20242210	C₂	semidirect
6. C₈×#10625334	C₂	semidirect
7. #20242166	C₂	semidirect
8. #20241831	C₂	semidirect
9. #20241804	C₂	semidirect
10. #20241683	C₂	semidirect
11. C₄₇×#2972	C₂	semidirect
19. #15689202	C₂²	semidirect
21. C₈×D₁₈₈	C₂²	semidirect
26. #15688875	C₂²	semidirect
27. #15688873	C₂²	semidirect
30. #15688850	C₂²	semidirect
31. #15688850	C₂²	semidirect
32. #15688845	C₂²	semidirect
33. #15688845	C₂²	semidirect
34. #15688844	C₂²	semidirect
35. C₈×C₄₇⋊C₈	C₂²	semidirect
201. #2972	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
#20253388	2
#20252463	2
#20242252	2
#20242217	2
#20242210	2
C₈×#10625334	2
#20242166	2
#20241831	2
#20241804	2
#20241683	2
C₄₇×#2972	2
#17922	47