Subgroups — #46845324

Order 34688.

412 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#16864653	C₂	1	1	yes	maximal, characteristic
2	#31774026	C₂	1	1	yes	maximal, characteristic, complemented
3	#31774025	C₂	1	1	yes	maximal, characteristic, complemented
4	#31773973	C₂	1	1	yes	maximal, characteristic, complemented
5	#31773972	C₂	1	1	yes	maximal, characteristic, complemented
6	#31773969	C₂	1	1	yes	maximal, characteristic, complemented
7	#31773968	C₂	1	1	yes	maximal, characteristic, complemented
8	#31773965	C₂	1	1	yes	maximal, characteristic, complemented
9	#31773949	C₂	1	1	yes	maximal, characteristic, complemented
10	#31773947	C₂	1	1	yes	maximal, characteristic, complemented
11	#31773947	C₂	1	1	yes	maximal, characteristic, complemented
12	#31773849	C₂	1	1	yes	maximal, characteristic, complemented
13	M₁₆×Dic₂₇₁	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₈×Dic₂₇₁	C₂	1	1	yes	maximal, characteristic, complemented
15	#435×C₂₇₁	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16864653	C₄	1	1	yes	characteristic
17	C₂×#16864638	C₂²	1	1	yes	characteristic
18	C₂×#16864637	C₂²	1	1	yes	characteristic
19	C₂×#16864637	C₂²	1	1	yes	characteristic
20	C₂²×C₂₇₁⋊C₈	C₂²	1	1	yes	characteristic
21	C₄×Dic₅₄₂	C₂²	1	1	yes	characteristic
22	#22576125	C₄	1	1	yes	characteristic
23	D₄×Dic₂₇₁	C₄	1	1	yes	characteristic
24	C₄×C₂²⋊D₂₇₁	C₂²	1	1	yes	characteristic
25	C₄×C₂²⋊D₂₇₁	C₂²	1	1	yes	characteristic
26	(C₂²⋊D₂₇₁)⋊C₄	C₄	1	1	yes	characteristic
27	(C₂²⋊D₂₇₁)⋊C₄	C₄	1	1	yes	characteristic
28	#22576118	C₄	1	1	yes	characteristic
29	#22576116	C₄	1	1	yes	characteristic
30	#22576116	C₄	1	1	yes	characteristic
31	C₂×C₄×Dic₂₇₁	C₂²	1	1	yes	characteristic
32	C₂×C₄×Dic₂₇₁	C₂²	1	1	yes	characteristic
33	C₄²×D₂₇₁	C₂²	1	1	yes	characteristic
34	C₄⋊(C₂₇₁⋊C₈)	C₂²	1	1	yes	characteristic
35	Dic₂₇₁⋊C₈	C₂²	1	1	yes	characteristic
36	Dic₂₇₁⋊C₈	C₂²	1	1	yes	characteristic
37	Dic₂₇₁⋊C₈	C₂²	1	1	yes	characteristic
38	Dic₂₇₁⋊C₈	C₂²	1	1	yes	characteristic
39	C₂²⋊(C₂₇₁⋊C₈)	C₂²	1	1	yes	characteristic
40	C₂²⋊(C₂₇₁⋊C₈)	C₂²	1	1	yes	characteristic
41	(C₂×D₂₇₁)⋊C₈	C₂²	1	1	yes	characteristic
42	(C₂×D₂₇₁)⋊C₈	C₂²	1	1	yes	characteristic
43	#22576071	C₂²	1	1	yes	characteristic
44	#22576070	C₂²	1	1	yes	characteristic
45	#22576070	C₂²	1	1	yes	characteristic
46	C₈×Dic₂₇₁	C₂²	1	1	yes	characteristic
47	C₈×Dic₂₇₁	C₂²	1	1	yes	characteristic
48	C₈×Dic₂₇₁	C₂²	1	1	yes	characteristic
49	C₈×Dic₂₇₁	C₂²	1	1	yes	characteristic
50	C₈×Dic₂₇₁	C₂²	1	1	yes	characteristic
51	C₈×Dic₂₇₁	C₂²	1	1	yes	characteristic
52	C₂×M₁₆×C₂₇₁	C₂²	1	1	yes	characteristic
53	C₂²×C₈×C₂₇₁	C₂²	1	1	yes	characteristic
54	C₄×D₄×C₂₇₁	C₂²	1	1	yes	characteristic
55	C₄⋊C₈×C₂₇₁	C₂²	1	1	yes	characteristic
56	C₂²⋊C₈×C₂₇₁	C₂²	1	1	yes	characteristic
57	C₂²⋊C₈×C₂₇₁	C₂²	1	1	yes	characteristic
58	#97×C₂₇₁	C₂²	1	1	yes	characteristic
59	#16864653	—	2	4	no	—
60	C₂×Dic₅₄₂	C₂×C₄	1	1	yes	characteristic
61	C₂×C₂²⋊D₂₇₁	C₂×C₄	1	1	yes	characteristic
62	C₂×C₂²⋊D₂₇₁	C₂×C₄	1	1	yes	characteristic
63	C₂²×Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
64	C₂²×Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
65	C₂²×Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
66	C₂²×Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
67	C₂×C₄×D₂₇₁	C₂×C₄	1	1	yes	characteristic
68	C₂×C₄×D₂₇₁	C₂×C₄	1	1	yes	characteristic
69	C₂×C₄×D₂₇₁	C₂³	1	1	yes	characteristic
70	#16864638	—	2	2	no	—
71	#16864637	—	2	2	no	—
72	#16864637	—	2	2	no	—
73	C₂×C₂₇₁⋊C₈	—	2	2	no	—
74	C₂×C₂₇₁⋊C₈	C₂³	1	1	yes	characteristic
75	C₂×C₂₇₁⋊C₈	C₂³	1	1	yes	characteristic
76	C₂×C₂₇₁⋊C₈	C₂³	1	1	yes	characteristic
77	C₂×C₂₇₁⋊C₈	C₂³	1	1	yes	characteristic
78	C₄⋊Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
79	Dic₂₇₁⋊C₄	C₂×C₄	1	1	yes	characteristic
80	Dic₂₇₁⋊C₄	C₂×C₄	1	1	yes	characteristic
81	Dic₂₇₁⋊C₄	C₂×C₄	1	1	yes	characteristic
82	Dic₂₇₁⋊C₄	C₂×C₄	1	1	yes	characteristic
83	C₂²⋊Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
84	C₂²⋊Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
85	(C₂×D₂₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
86	(C₂×D₂₇₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
87	C₄×Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
88	C₄×Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
89	C₄×Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
90	C₄×Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
91	C₄×Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
92	C₄×Dic₂₇₁	C₂×C₄	1	1	yes	characteristic
93	C₄×Dic₂₇₁	C₂³	1	1	yes	characteristic
94	C₄×Dic₂₇₁	C₂³	1	1	yes	characteristic
95	C₄×Dic₂₇₁	C₂³	1	1	yes	characteristic
96	C₂×D₄×C₂₇₁	C₂×C₄	1	1	yes	characteristic
97	C₂²×C₄×C₂₇₁	C₂³	1	1	yes	characteristic
98	C₂²×C₄×C₂₇₁	C₂³	1	1	yes	characteristic
99	M₁₆×C₂₇₁	—	2	2	no	—
100	C₂×C₈×C₂₇₁	—	2	2	no	—
101	C₂×C₈×C₂₇₁	C₂³	1	1	yes	characteristic
102	C₂×C₈×C₂₇₁	C₂³	1	1	yes	characteristic
103	C₂×C₈×C₂₇₁	C₂³	1	1	yes	characteristic
104	C₂×C₈×C₂₇₁	C₂³	1	1	yes	characteristic
105	C₄⋊C₄×C₂₇₁	C₂×C₄	1	1	yes	characteristic
106	C₂²⋊C₄×C₂₇₁	C₂×C₄	1	1	yes	characteristic
107	C₂²⋊C₄×C₂₇₁	C₂×C₄	1	1	yes	characteristic
108	C₄²×C₂₇₁	C₂³	1	1	yes	characteristic
109	C₂²×D₂₇₁	C₂²×C₄	1	1	yes	characteristic
110	Dic₅₄₂	—	2	2	no	—
111	C₂²⋊D₂₇₁	—	2	2	no	—
112	C₂²⋊D₂₇₁	—	2	2	no	—
113	C₂×Dic₂₇₁	—	2	2	no	—
114	C₂×Dic₂₇₁	—	2	2	no	—
115	C₂×Dic₂₇₁	—	2	2	no	—
116	C₂×Dic₂₇₁	M₁₆	1	4	yes	complemented
117	C₂×Dic₂₇₁	C₂²×C₄	1	1	yes	characteristic
118	C₂×Dic₂₇₁	C₂²×C₄	1	1	yes	characteristic
119	C₂×Dic₂₇₁	C₂²×C₄	1	1	yes	characteristic
120	C₂×Dic₂₇₁	C₂²×C₄	1	1	yes	characteristic
121	C₂×Dic₂₇₁	C₂²×C₄	1	1	yes	characteristic
122	C₂×Dic₂₇₁	C₂²×C₄	1	1	yes	characteristic
123	C₂×Dic₂₇₁	C₂²×C₄	1	1	yes	characteristic
124	C₄×D₂₇₁	—	2	1	no	—
125	C₄×D₂₇₁	—	2	1	no	—
126	C₄×D₂₇₁	—	2	2	no	—
127	C₄×D₂₇₁	—	2	2	no	—
128	C₂₇₁⋊C₈	—	2	1	no	—
129	C₂₇₁⋊C₈	—	2	1	no	—
130	C₂₇₁⋊C₈	—	2	1	no	—
131	C₂₇₁⋊C₈	#41	1	2	yes	complemented
132	C₂³×C₂₇₁	C₂²×C₄	1	1	yes	characteristic
133	C₂³×C₂₇₁	C₂²×C₄	1	1	yes	characteristic
134	D₄×C₂₇₁	—	2	2	no	—
135	C₂×C₄×C₂₇₁	—	2	1	no	—
136	C₂×C₄×C₂₇₁	—	2	1	no	—
137	C₂×C₄×C₂₇₁	—	2	1	no	—
138	C₂×C₄×C₂₇₁	—	2	1	no	—
139	C₂×C₄×C₂₇₁	C₂²×C₄	1	1	yes	characteristic
140	C₂×C₄×C₂₇₁	C₂²×C₄	1	1	yes	characteristic
141	C₂×C₄×C₂₇₁	C₂²×C₄	1	1	yes	characteristic
142	C₂×C₄×C₂₇₁	C₂²×C₄	1	1	yes	characteristic
143	C₂×C₄×C₂₇₁	C₂⁴	1	1	yes	characteristic
144	C₈×C₂₇₁	—	2	1	no	—
145	C₈×C₂₇₁	—	2	1	no	—
146	C₈×C₂₇₁	—	2	1	no	—
147	C₈×C₂₇₁	#41	1	2	yes	complemented
148	C₂²×C₂₇₁	—	2	1	no	—
149	C₂²×C₂₇₁	—	2	1	no	—
150	C₂²×C₂₇₁	—	2	1	no	—
151	C₂²×C₂₇₁	—	2	1	no	—
152	C₂²×C₂₇₁	—	2	1	no	—
153	C₂²×C₂₇₁	C₂×M₁₆	1	2	yes	—
154	C₂²×C₂₇₁	C₂³×C₄	1	1	yes	characteristic
155	C₂×D₂₇₁	—	2	1	no	—
156	C₂×D₂₇₁	—	2	1	no	—
157	C₂×D₂₇₁	—	2	1	no	—
158	C₄×C₂₇₁	—	2	1	no	—
159	C₄×C₂₇₁	—	2	1	no	—
160	C₄×C₂₇₁	—	2	1	no	—
161	C₄×C₂₇₁	—	2	1	no	—
162	C₄×C₂₇₁	C₂×#41	1	1	yes	characteristic
163	C₄×C₂₇₁	C₂×#41	1	1	yes	characteristic
164	Dic₂₇₁	—	2	1	no	—
165	Dic₂₇₁	—	2	1	no	—
166	Dic₂₇₁	—	2	1	no	—
167	Dic₂₇₁	—	2	1	no	—
168	Dic₂₇₁	C₂×M₁₆	1	2	yes	—
169	Dic₂₇₁	C₂×M₁₆	1	2	yes	—
170	Dic₂₇₁	#131	1	2	yes	—
171	C₂×C₂₇₁	—	2	2	no	—
172	C₂×C₂₇₁	—	4	1	no	—
173	C₂×C₂₇₁	C₄×#41	1	1	yes	characteristic
174	C₂×C₂₇₁	C₂²×M₁₆	1	1	yes	characteristic
175	C₂×C₂₇₁	C₂×#131	1	1	yes	characteristic
176	D₂₇₁	—	4	1	no	—
177	C₂₇₁	#2965	1	1	yes	characteristic, complemented, Sylow
178	#2965	—	271	1	no	maximal, Sylow
179	C₄×#41	—	271	1	no	—
180	#446	—	271	1	no	—
181	#446	—	271	1	no	—
182	#436	—	271	1	no	—
183	#436	—	271	1	no	—
184	#435	—	271	1	no	—
185	#435	—	271	1	no	—
186	#435	—	271	1	no	—
187	#435	D₂₇₁	1	1	yes	characteristic, complemented
188	#431	—	271	1	no	—
189	#431	—	271	1	no	—
190	#431	—	271	1	no	—
191	C₄×M₁₆	—	271	1	no	—
192	C₄×M₁₆	—	271	1	no	—
193	C₂×C₄×C₈	—	271	1	no	—
194	C₂×#41	—	271	1	no	—
195	C₂×M₁₆	—	271	1	no	—
196	C₂×M₁₆	—	271	1	no	—
197	C₂×M₁₆	—	271	1	no	—
198	C₂×M₁₆	C₂×D₂₇₁	1	1	yes	characteristic
199	C₂²×C₈	—	271	1	no	—
200	C₂²×C₈	C₂×D₂₇₁	1	1	yes	characteristic
201	C₄×Q₈	—	271	1	no	—
202	C₄×Q₈	—	271	1	no	—
203	C₄×D₄	—	271	1	no	—
204	C₄×D₄	—	271	1	no	—
205	C₄×D₄	—	271	1	no	—
206	C₄×D₄	—	271	1	no	—
207	C₄×D₄	—	271	1	no	—
208	C₄×D₄	C₂×D₂₇₁	1	1	yes	characteristic
209	#117	—	271	1	no	—
210	#117	—	271	1	no	—
211	#117	—	271	1	no	—
212	C₂×C₄²	—	271	1	no	—
213	C₂×C₄²	—	271	1	no	—
214	C₂×C₄²	—	271	1	no	—
215	C₄⋊C₈	—	271	1	no	—
216	C₄⋊C₈	—	271	1	no	—
217	C₄⋊C₈	—	271	1	no	—
218	C₄⋊C₈	—	271	1	no	—
219	C₄⋊C₈	—	271	1	no	—
220	C₄⋊C₈	C₂×D₂₇₁	1	1	yes	characteristic
221	C₂²⋊C₈	—	271	1	no	—
222	C₂²⋊C₈	—	271	1	no	—
223	C₂²⋊C₈	—	271	1	no	—
224	C₂²⋊C₈	—	271	1	no	—
225	C₂²⋊C₈	C₂×D₂₇₁	1	1	yes	characteristic
226	C₂²⋊C₈	C₂×D₂₇₁	1	1	yes	characteristic
227	#97	—	271	1	no	—
228	#97	—	271	1	no	—
229	#97	—	271	1	no	—
230	#97	C₂×D₂₇₁	1	1	yes	characteristic
231	C₄×C₈	—	271	1	no	—
232	C₄×C₈	—	271	1	no	—
233	C₄×C₈	—	271	1	no	—
234	C₄×C₈	—	271	1	no	—
235	C₄×C₈	—	271	1	no	—
236	C₄×C₈	—	271	1	no	—
237	#41	—	542	4	no	—
238	C₂×Q₈	—	271	1	no	—
239	C₂×D₄	—	271	1	no	—
240	C₂×D₄	—	271	1	no	—
241	C₂×D₄	C₄×D₂₇₁	1	1	yes	characteristic
242	C₂²×C₄	—	271	1	no	—
243	C₂²×C₄	—	271	1	no	—
244	C₂²×C₄	—	271	1	no	—
245	C₂²×C₄	—	271	1	no	—
246	C₂²×C₄	—	271	1	no	—
247	C₂²×C₄	—	271	1	no	—
248	C₂²×C₄	—	271	1	no	—
249	C₂²×C₄	C₂²×D₂₇₁	1	1	yes	characteristic
250	C₂²×C₄	C₂²×D₂₇₁	1	1	yes	characteristic
251	M₁₆	—	2	2	no	—
252	M₁₆	—	542	2	no	—
253	M₁₆	—	542	2	no	—
254	M₁₆	—	542	2	no	—
255	C₂×C₈	—	2	2	no	—
256	C₂×C₈	—	271	1	no	—
257	C₂×C₈	—	271	1	no	—
258	C₂×C₈	—	271	1	no	—
259	C₂×C₈	—	271	1	no	—
260	C₂×C₈	—	542	2	no	—
261	C₂×C₈	C₂²×D₂₇₁	1	1	yes	characteristic
262	C₂×C₈	C₂²×D₂₇₁	1	1	yes	characteristic
263	C₂×C₈	C₂²×D₂₇₁	1	1	yes	characteristic
264	C₂×C₈	C₂²×D₂₇₁	1	1	yes	characteristic
265	C₄⋊C₄	—	271	1	no	—
266	C₄⋊C₄	—	271	1	no	—
267	C₄⋊C₄	—	271	1	no	—
268	C₄⋊C₄	—	271	1	no	—
269	C₄⋊C₄	—	271	1	no	—
270	C₄⋊C₄	C₄×D₂₇₁	1	1	yes	characteristic
271	C₂²⋊C₄	—	271	1	no	—
272	C₂²⋊C₄	—	271	1	no	—
273	C₂²⋊C₄	—	271	1	no	—
274	C₂²⋊C₄	—	271	1	no	—
275	C₂²⋊C₄	C₄×D₂₇₁	1	1	yes	characteristic
276	C₂²⋊C₄	C₄×D₂₇₁	1	1	yes	characteristic
277	C₄²	—	271	1	no	—
278	C₄²	—	271	1	no	—
279	C₄²	—	271	1	no	—
280	C₄²	—	271	1	no	—
281	C₄²	—	271	1	no	—
282	C₄²	—	271	1	no	—
283	C₄²	—	271	1	no	—
284	C₄²	—	271	1	no	—
285	C₄²	—	271	1	no	—
286	C₄²	C₂²×D₂₇₁	1	1	yes	characteristic
287	C₂³	—	271	1	no	—
288	C₂³	C₂×C₄×D₂₇₁	1	1	yes	characteristic
289	C₂³	C₂×C₄×D₂₇₁	1	1	yes	characteristic
290	Q₈	—	542	2	no	—
291	D₄	—	2	2	no	—
292	D₄	—	542	2	no	—
293	D₄	—	542	2	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	2	1	no	—
297	C₂×C₄	—	2	1	no	—
298	C₂×C₄	—	271	4	no	—
299	C₂×C₄	—	271	1	no	—
300	C₂×C₄	—	271	1	no	—
301	C₂×C₄	—	271	1	no	—
302	C₂×C₄	—	271	1	no	—
303	C₂×C₄	—	271	1	no	—
304	C₂×C₄	—	271	1	no	—
305	C₂×C₄	—	271	1	no	—
306	C₂×C₄	—	542	2	no	—
307	C₂×C₄	—	542	2	no	—
308	C₂×C₄	—	542	2	no	—
309	C₂×C₄	—	542	2	no	—
310	C₂×C₄	—	542	2	no	—
311	C₂×C₄	—	542	1	no	—
312	C₂×C₄	—	542	1	no	—
313	C₂×C₄	C₂×C₄×D₂₇₁	1	1	yes	characteristic
314	C₂×C₄	C₂×C₄×D₂₇₁	1	1	yes	characteristic
315	C₂×C₄	C₂×C₄×D₂₇₁	1	1	yes	characteristic
316	C₂×C₄	C₂×C₄×D₂₇₁	1	1	yes	characteristic
317	C₂×C₄	C₂³×D₂₇₁	1	1	yes	characteristic
318	C₈	—	2	1	no	—
319	C₈	—	2	1	no	—
320	C₈	—	2	1	no	—
321	C₈	—	271	2	no	—
322	C₈	—	542	1	no	—
323	C₈	—	542	1	no	—
324	C₈	—	542	1	no	—
325	C₈	#16864653	1	2	yes	complemented
326	C₂²	—	2	1	no	—
327	C₂²	—	2	1	no	—
328	C₂²	—	2	1	no	—
329	C₂²	—	2	1	no	—
330	C₂²	—	2	1	no	—
331	C₂²	—	542	1	no	—
332	C₂²	—	542	1	no	—
333	C₂²	—	542	1	no	—
334	C₂²	M₁₆×D₂₇₁	1	2	yes	—
335	C₂²	C₂²×C₄×D₂₇₁	1	1	yes	characteristic
336	C₄	—	2	1	no	—
337	C₄	—	2	1	no	—
338	C₄	—	2	1	no	—
339	C₄	—	2	1	no	—
340	C₄	—	271	2	no	—
341	C₄	—	271	2	no	—
342	C₄	—	271	2	no	—
343	C₄	—	542	1	no	—
344	C₄	—	542	1	no	—
345	C₄	—	542	1	no	—
346	C₄	—	542	1	no	—
347	C₄	#41×D₂₇₁	1	1	yes	characteristic
348	C₄	C₂×#16864653	1	1	yes	characteristic
349	C₂	—	2	2	no	—
350	C₂	—	4	1	no	—
351	C₂	—	1084	1	no	—
352	C₂	C₄×#16864653	1	1	yes	characteristic
353	C₂	C₂×M₁₆×D₂₇₁	1	1	yes	characteristic
354	C₂	#131×D₂₇₁	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×D₂₇₁
commutator, socle	C₂²×C₂₇₁	C₂³×C₄
Fitting	#435×C₂₇₁	C₂
prime radical	C₂×#16864653	C₄
cosocle	C₂×C₄×C₂₇₁	C₂⁴
hypercenter	#435	D₂₇₁
hypocenter	C₂₇₁	#2965
LCS	G ▷ C₂²×C₂₇₁ ▷ C₂₇₁
UCS	C₁ ◁ C₂×C₄ ◁ #435

Complements

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

N	H ≅ G/N	type
2. #31774026	C₂	semidirect
3. #31774025	C₂	semidirect
4. #31773973	C₂	semidirect
5. #31773972	C₂	semidirect
6. #31773969	C₂	semidirect
7. #31773968	C₂	semidirect
8. #31773965	C₂	semidirect
9. #31773949	C₂	semidirect
10. #31773947	C₂	semidirect
11. #31773947	C₂	semidirect
12. #31773849	C₂	semidirect
13. M₁₆×Dic₂₇₁	C₂	semidirect
14. C₂×C₈×Dic₂₇₁	C₂	semidirect
15. #435×C₂₇₁	C₂	semidirect
116. C₂×Dic₂₇₁	M₁₆	semidirect
131. C₂₇₁⋊C₈	#41	semidirect
147. C₈×C₂₇₁	#41	semidirect
177. C₂₇₁	#2965	semidirect
187. #435	D₂₇₁	semidirect
325. C₈	#16864653	semidirect

Maximal subgroups

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

subgroup	index
C₄×#16864653	2
#31774026	2
#31774025	2
#31773973	2
#31773972	2
#31773969	2
#31773968	2
#31773965	2
#31773949	2
#31773947	2
#31773849	2
M₁₆×Dic₂₇₁	2
C₂×C₈×Dic₂₇₁	2
#435×C₂₇₁	2
#2965	271