Subgroups — C₂×C₁₁×#2847 #14613804

Order 2816.

8582 conjugacy classes of subgroups.

The subgroup lattice has 324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁵×C₄×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₁×#121	C₂	1	3	yes	maximal, complemented
3	C₂²×C₁₁×#120	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2847	C₂	1	16	yes	maximal, direct product factor
5	C₂×C₁₁×#386	C₂	1	6	yes	maximal, complemented
6	C₂×C₁₁×#380	C₂	1	3	yes	maximal, complemented
7	C₂⁶×C₁₁	C₂²	1	1	yes	characteristic
8	C₂³×D₄×C₁₁	C₂²	1	6	yes	—
9	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
10	C₂⁴×C₄×C₁₁	—	2	24	no	—
11	C₂⁴×C₄×C₁₁	C₂²	1	3	yes	—
12	C₂⁴×C₄×C₁₁	C₂²	1	3	yes	—
13	C₂⁴×C₄×C₁₁	C₂²	1	8	yes	complemented
14	C₂×C₁₁×#121	—	2	24	no	—
15	C₂×C₁₁×#121	C₂²	1	24	yes	complemented
16	C₂×C₁₁×#120	—	2	16	no	—
17	C₂×C₁₁×#120	C₂²	1	16	yes	complemented
18	C₂²×C₁₁×C₄⋊C₄	C₂²	1	3	yes	complemented
19	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	6	yes	—
20	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	6	yes	complemented
21	C₁₁×#386	C₂²	1	48	yes	complemented
22	C₁₁×#380	C₂²	1	24	yes	complemented
23	C₂×C₁₁×#95	C₂²	1	6	yes	complemented
24	C₂⁵×C₁₁	—	2	12	no	—
25	C₂⁵×C₁₁	—	2	12	no	—
26	C₂⁵×C₁₁	D₄	1	8	yes	complemented
27	C₂⁵×C₁₁	C₂³	1	2	yes	—
28	C₂⁵×C₁₁	C₂³	1	4	yes	—
29	C₂⁵×C₁₁	C₂³	1	3	yes	—
30	C₂²×D₄×C₁₁	—	2	24	no	—
31	C₂²×D₄×C₁₁	—	2	24	no	—
32	C₂²×D₄×C₁₁	—	2	24	no	—
33	C₂²×D₄×C₁₁	—	2	12	no	—
34	C₂²×D₄×C₁₁	C₂³	1	24	yes	—
35	C₂²×D₄×C₁₁	C₂³	1	4	yes	complemented
36	C₂³×C₄×C₁₁	—	2	128	no	—
37	C₂³×C₄×C₁₁	—	2	12	no	—
38	C₂³×C₄×C₁₁	—	2	24	no	—
39	C₂³×C₄×C₁₁	—	2	24	no	—
40	C₂³×C₄×C₁₁	—	2	96	no	—
41	C₂³×C₄×C₁₁	D₄	1	24	yes	complemented
42	C₂³×C₄×C₁₁	C₂³	1	12	yes	—
43	C₂³×C₄×C₁₁	C₂³	1	6	yes	—
44	C₂³×C₄×C₁₁	C₂³	1	3	yes	—
45	C₂³×C₄×C₁₁	C₂³	1	12	yes	—
46	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
47	C₁₁×#121	—	2	96	no	—
48	C₁₁×#120	—	2	64	no	—
49	C₂×C₁₁×C₄⋊C₄	—	2	12	no	—
50	C₂×C₁₁×C₄⋊C₄	C₂³	1	12	yes	complemented
51	C₂×C₁₁×C₂²⋊C₄	—	2	24	no	—
52	C₂×C₁₁×C₂²⋊C₄	—	2	24	no	—
53	C₂×C₁₁×C₂²⋊C₄	C₂³	1	24	yes	—
54	C₂×C₁₁×C₂²⋊C₄	C₂³	1	24	yes	complemented
55	C₁₁×#95	C₂³	1	24	yes	complemented
56	C₂×#2847	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
57	C₂⁴×C₁₁	—	2	32	no	—
58	C₂⁴×C₁₁	—	2	96	no	—
59	C₂⁴×C₁₁	—	2	96	no	—
60	C₂⁴×C₁₁	—	2	24	no	—
61	C₂⁴×C₁₁	—	2	12	no	—
62	C₂⁴×C₁₁	—	2	24	no	—
63	C₂⁴×C₁₁	—	2	12	no	—
64	C₂⁴×C₁₁	—	2	12	no	—
65	C₂⁴×C₁₁	—	2	4	no	—
66	C₂⁴×C₁₁	—	2	12	no	—
67	C₂⁴×C₁₁	C₂×D₄	1	12	yes	—
68	C₂⁴×C₁₁	C₂×D₄	1	12	yes	—
69	C₂⁴×C₁₁	C₂×D₄	1	16	yes	complemented
70	C₂⁴×C₁₁	#41	1	12	yes	—
71	C₂⁴×C₁₁	C₂⁴	1	4	yes	—
72	C₂⁴×C₁₁	C₂⁴	1	6	yes	—
73	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
74	C₂×D₄×C₁₁	—	2	48	no	—
75	C₂×D₄×C₁₁	—	2	48	no	—
76	C₂×D₄×C₁₁	—	2	48	no	—
77	C₂×D₄×C₁₁	—	2	24	no	—
78	C₂×D₄×C₁₁	—	4	96	no	—
79	C₂×D₄×C₁₁	—	4	16	no	—
80	C₂²×C₄×C₁₁	—	2	96	no	—
81	C₂²×C₄×C₁₁	—	2	256	no	—
82	C₂²×C₄×C₁₁	—	2	24	no	—
83	C₂²×C₄×C₁₁	—	2	12	no	—
84	C₂²×C₄×C₁₁	—	2	96	no	—
85	C₂²×C₄×C₁₁	—	2	48	no	—
86	C₂²×C₄×C₁₁	—	2	48	no	—
87	C₂²×C₄×C₁₁	—	2	12	no	—
88	C₂²×C₄×C₁₁	—	2	12	no	—
89	C₂²×C₄×C₁₁	—	2	12	no	—
90	C₂²×C₄×C₁₁	C₂×D₄	1	12	yes	—
91	C₂²×C₄×C₁₁	C₂×D₄	1	12	yes	—
92	C₂²×C₄×C₁₁	C₂×D₄	1	48	yes	complemented
93	C₂²×C₄×C₁₁	C₂⁴	1	12	yes	—
94	C₂²×C₄×C₁₁	C₂⁴	1	6	yes	—
95	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
96	C₁₁×C₄⋊C₄	—	2	24	no	—
97	C₁₁×C₂²⋊C₄	—	2	48	no	—
98	C₁₁×C₂²⋊C₄	—	2	48	no	—
99	C₂⁵×C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
100	C₂²×#121	C₂×C₁₁	1	3	yes	complemented
101	C₂²×#120	C₂×C₁₁	1	2	yes	complemented
102	#2847	C₂×C₁₁	1	16	yes	direct product factor
103	C₂×#386	C₂×C₁₁	1	6	yes	complemented
104	C₂×#380	C₂×C₁₁	1	3	yes	complemented
105	C₂³×C₁₁	—	2	32	no	—
106	C₂³×C₁₁	—	2	256	no	—
107	C₂³×C₁₁	—	2	96	no	—
108	C₂³×C₁₁	—	2	24	no	—
109	C₂³×C₁₁	—	2	48	no	—
110	C₂³×C₁₁	—	2	96	no	—
111	C₂³×C₁₁	—	2	24	no	—
112	C₂³×C₁₁	—	2	48	no	—
113	C₂³×C₁₁	—	2	12	no	—
114	C₂³×C₁₁	—	2	12	no	—
115	C₂³×C₁₁	—	2	12	no	—
116	C₂³×C₁₁	—	2	4	no	—
117	C₂³×C₁₁	—	2	12	no	—
118	C₂³×C₁₁	—	4	8	no	—
119	C₂³×C₁₁	—	4	24	no	—
120	C₂³×C₁₁	—	4	24	no	—
121	C₂³×C₁₁	#121	1	48	yes	complemented
122	C₂³×C₁₁	C₂²×D₄	1	12	yes	—
123	C₂³×C₁₁	C₂²×D₄	1	12	yes	—
124	C₂³×C₁₁	C₂²×D₄	1	6	yes	—
125	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
126	C₂³×C₁₁	C₂×#41	1	12	yes	—
127	C₂³×C₁₁	C₂×#41	1	6	yes	—
128	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
129	D₄×C₁₁	—	4	96	no	—
130	D₄×C₁₁	—	4	16	no	—
131	C₂×C₄×C₁₁	—	2	96	no	—
132	C₂×C₄×C₁₁	—	2	24	no	—
133	C₂×C₄×C₁₁	—	2	12	no	—
134	C₂×C₄×C₁₁	—	2	96	no	—
135	C₂×C₄×C₁₁	—	2	12	no	—
136	C₂×C₄×C₁₁	—	2	12	no	—
137	C₂×C₄×C₁₁	—	2	12	no	—
138	C₂×C₄×C₁₁	—	4	24	no	—
139	C₂×C₄×C₁₁	#120	1	16	yes	complemented
140	C₂×C₄×C₁₁	C₂²×D₄	1	12	yes	—
141	C₂×C₄×C₁₁	C₂²×D₄	1	12	yes	—
142	C₂⁶	C₂²×C₁₁	1	1	yes	characteristic
143	C₂³×D₄	C₂²×C₁₁	1	6	yes	—
144	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
145	C₂⁴×C₄	—	2	24	no	—
146	C₂⁴×C₄	C₂²×C₁₁	1	3	yes	—
147	C₂⁴×C₄	C₂²×C₁₁	1	3	yes	—
148	C₂⁴×C₄	C₂²×C₁₁	1	8	yes	complemented
149	C₂×#121	—	2	24	no	—
150	C₂×#121	C₂²×C₁₁	1	24	yes	complemented
151	C₂×#120	—	2	16	no	—
152	C₂×#120	C₂²×C₁₁	1	16	yes	complemented
153	C₂²×C₄⋊C₄	C₂²×C₁₁	1	3	yes	complemented
154	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	6	yes	—
155	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	6	yes	complemented
156	#386	C₂²×C₁₁	1	48	yes	complemented
157	#380	C₂²×C₁₁	1	24	yes	complemented
158	C₂×#95	C₂²×C₁₁	1	6	yes	complemented
159	C₂²×C₁₁	—	2	128	no	—
160	C₂²×C₁₁	—	2	96	no	—
161	C₂²×C₁₁	—	2	12	no	—
162	C₂²×C₁₁	—	2	24	no	—
163	C₂²×C₁₁	—	2	12	no	—
164	C₂²×C₁₁	—	2	24	no	—
165	C₂²×C₁₁	—	4	4	no	—
166	C₂²×C₁₁	—	4	12	no	—
167	C₂²×C₁₁	—	4	12	no	—
168	C₂²×C₁₁	—	8	16	no	—
169	C₂²×C₁₁	C₂×#120	1	4	yes	—
170	C₂²×C₁₁	C₂×#121	1	12	yes	—
171	C₂²×C₁₁	C₂×#121	1	24	yes	complemented
172	C₂²×C₁₁	#525	1	12	yes	—
173	C₂²×C₁₁	C₂³×D₄	1	3	yes	—
174	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
175	C₂²×C₁₁	C₂²×#41	1	3	yes	—
176	C₄×C₁₁	—	2	12	no	—
177	C₄×C₁₁	—	4	12	no	—
178	C₄×C₁₁	C₂×#120	1	8	yes	complemented
179	C₂⁵	—	2	12	no	—
180	C₂⁵	—	2	12	no	—
181	C₂⁵	D₄×C₁₁	1	8	yes	complemented
182	C₂⁵	C₂³×C₁₁	1	2	yes	—
183	C₂⁵	C₂³×C₁₁	1	4	yes	—
184	C₂⁵	C₂³×C₁₁	1	3	yes	—
185	C₂²×D₄	—	2	24	no	—
186	C₂²×D₄	—	2	24	no	—
187	C₂²×D₄	—	2	24	no	—
188	C₂²×D₄	—	2	12	no	—
189	C₂²×D₄	C₂³×C₁₁	1	24	yes	—
190	C₂²×D₄	C₂³×C₁₁	1	4	yes	complemented
191	C₂³×C₄	—	2	128	no	—
192	C₂³×C₄	—	2	12	no	—
193	C₂³×C₄	—	2	24	no	—
194	C₂³×C₄	—	2	24	no	—
195	C₂³×C₄	—	2	96	no	—
196	C₂³×C₄	D₄×C₁₁	1	24	yes	complemented
197	C₂³×C₄	C₂³×C₁₁	1	6	yes	—
198	C₂³×C₄	C₂³×C₁₁	1	12	yes	—
199	C₂³×C₄	C₂³×C₁₁	1	3	yes	—
200	C₂³×C₄	C₂³×C₁₁	1	12	yes	—
201	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
202	#121	—	2	96	no	—
203	#120	—	2	64	no	—
204	C₂×C₄⋊C₄	—	2	12	no	—
205	C₂×C₄⋊C₄	C₂³×C₁₁	1	12	yes	complemented
206	C₂×C₂²⋊C₄	—	2	24	no	—
207	C₂×C₂²⋊C₄	—	2	24	no	—
208	C₂×C₂²⋊C₄	C₂³×C₁₁	1	24	yes	—
209	C₂×C₂²⋊C₄	C₂³×C₁₁	1	24	yes	complemented
210	#95	C₂³×C₁₁	1	24	yes	complemented
211	C₂×C₁₁	—	2	24	no	—
212	C₂×C₁₁	—	8	4	no	—
213	C₂×C₁₁	#2847	1	8	yes	direct product factor
214	C₂×C₁₁	C₂²×#120	1	1	yes	characteristic
215	C₂×C₁₁	C₂²×#121	1	3	yes	—
216	C₂×C₁₁	C₂×#525	1	3	yes	—
217	C₂⁴	—	2	32	no	—
218	C₂⁴	—	2	96	no	—
219	C₂⁴	—	2	96	no	—
220	C₂⁴	—	2	24	no	—
221	C₂⁴	—	2	12	no	—
222	C₂⁴	—	2	24	no	—
223	C₂⁴	—	2	12	no	—
224	C₂⁴	—	2	12	no	—
225	C₂⁴	—	2	4	no	—
226	C₂⁴	—	2	12	no	—
227	C₂⁴	C₂×D₄×C₁₁	1	12	yes	—
228	C₂⁴	C₂×D₄×C₁₁	1	12	yes	—
229	C₂⁴	C₂×D₄×C₁₁	1	16	yes	complemented
230	C₂⁴	C₁₁×#41	1	12	yes	—
231	C₂⁴	C₂⁴×C₁₁	1	4	yes	—
232	C₂⁴	C₂⁴×C₁₁	1	6	yes	—
233	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
234	C₂×D₄	—	2	48	no	—
235	C₂×D₄	—	2	48	no	—
236	C₂×D₄	—	2	48	no	—
237	C₂×D₄	—	2	24	no	—
238	C₂×D₄	—	4	96	no	—
239	C₂×D₄	—	4	16	no	—
240	C₂²×C₄	—	2	96	no	—
241	C₂²×C₄	—	2	256	no	—
242	C₂²×C₄	—	2	24	no	—
243	C₂²×C₄	—	2	12	no	—
244	C₂²×C₄	—	2	96	no	—
245	C₂²×C₄	—	2	48	no	—
246	C₂²×C₄	—	2	48	no	—
247	C₂²×C₄	—	2	12	no	—
248	C₂²×C₄	—	2	12	no	—
249	C₂²×C₄	—	2	12	no	—
250	C₂²×C₄	C₂×D₄×C₁₁	1	12	yes	—
251	C₂²×C₄	C₂×D₄×C₁₁	1	12	yes	—
252	C₂²×C₄	C₂×D₄×C₁₁	1	48	yes	complemented
253	C₂²×C₄	C₂⁴×C₁₁	1	12	yes	—
254	C₂²×C₄	C₂⁴×C₁₁	1	6	yes	—
255	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
256	C₄⋊C₄	—	2	24	no	—
257	C₂²⋊C₄	—	2	48	no	—
258	C₂²⋊C₄	—	2	48	no	—
259	C₁₁	C₂×#2847	1	1	yes	characteristic, direct product factor, Sylow
260	C₂³	—	2	32	no	—
261	C₂³	—	2	96	no	—
262	C₂³	—	2	256	no	—
263	C₂³	—	2	24	no	—
264	C₂³	—	2	48	no	—
265	C₂³	—	2	96	no	—
266	C₂³	—	2	24	no	—
267	C₂³	—	2	48	no	—
268	C₂³	—	2	12	no	—
269	C₂³	—	2	12	no	—
270	C₂³	—	2	12	no	—
271	C₂³	—	2	4	no	—
272	C₂³	—	2	12	no	—
273	C₂³	—	4	8	no	—
274	C₂³	—	4	24	no	—
275	C₂³	—	4	24	no	—
276	C₂³	C₁₁×#121	1	48	yes	complemented
277	C₂³	C₂²×D₄×C₁₁	1	12	yes	—
278	C₂³	C₂²×D₄×C₁₁	1	12	yes	—
279	C₂³	C₂²×D₄×C₁₁	1	6	yes	—
280	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
281	C₂³	C₂×C₁₁×#41	1	12	yes	—
282	C₂³	C₂×C₁₁×#41	1	6	yes	—
283	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
284	D₄	—	4	96	no	—
285	D₄	—	4	16	no	—
286	C₂×C₄	—	2	96	no	—
287	C₂×C₄	—	2	24	no	—
288	C₂×C₄	—	2	12	no	—
289	C₂×C₄	—	2	96	no	—
290	C₂×C₄	—	2	12	no	—
291	C₂×C₄	—	2	12	no	—
292	C₂×C₄	—	2	12	no	—
293	C₂×C₄	—	4	24	no	—
294	C₂×C₄	C₁₁×#120	1	16	yes	complemented
295	C₂×C₄	C₂²×D₄×C₁₁	1	12	yes	—
296	C₂×C₄	C₂²×D₄×C₁₁	1	12	yes	—
297	C₂²	—	2	128	no	—
298	C₂²	—	2	12	no	—
299	C₂²	—	2	24	no	—
300	C₂²	—	2	12	no	—
301	C₂²	—	2	24	no	—
302	C₂²	—	2	96	no	—
303	C₂²	—	4	4	no	—
304	C₂²	—	4	12	no	—
305	C₂²	—	4	12	no	—
306	C₂²	—	8	16	no	—
307	C₂²	C₂×C₁₁×#120	1	4	yes	—
308	C₂²	C₂×C₁₁×#121	1	12	yes	—
309	C₂²	C₂×C₁₁×#121	1	24	yes	complemented
310	C₂²	C₁₁×#525	1	12	yes	—
311	C₂²	C₂³×D₄×C₁₁	1	3	yes	—
312	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
313	C₂²	C₂²×C₁₁×#41	1	3	yes	—
314	C₄	—	2	12	no	—
315	C₄	—	4	12	no	—
316	C₄	C₂×C₁₁×#120	1	8	yes	complemented
317	C₂	—	2	24	no	—
318	C₂	—	8	4	no	—
319	C₂	C₁₁×#2847	1	8	yes	direct product factor
320	C₂	C₂²×C₁₁×#120	1	1	yes	characteristic
321	C₂	C₂²×C₁₁×#121	1	3	yes	—
322	C₂	C₂×C₁₁×#525	1	3	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₁₁	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂⁵×C₄×C₁₁	C₂	semidirect
2. C₂²×C₁₁×#121	C₂	semidirect
3. C₂²×C₁₁×#120	C₂	semidirect
4. C₁₁×#2847	C₂	direct (N × H)
5. C₂×C₁₁×#386	C₂	semidirect
6. C₂×C₁₁×#380	C₂	semidirect
9. C₂³×D₄×C₁₁	C₂²	semidirect
13. C₂⁴×C₄×C₁₁	C₂²	semidirect
15. C₂×C₁₁×#121	C₂²	semidirect
17. C₂×C₁₁×#120	C₂²	semidirect
18. C₂²×C₁₁×C₄⋊C₄	C₂²	semidirect
20. C₂²×C₁₁×C₂²⋊C₄	C₂²	semidirect
21. C₁₁×#386	C₂²	semidirect
22. C₁₁×#380	C₂²	semidirect
23. C₂×C₁₁×#95	C₂²	semidirect
26. C₂⁵×C₁₁	D₄	semidirect
35. C₂²×D₄×C₁₁	C₂³	semidirect
41. C₂³×C₄×C₁₁	D₄	semidirect
50. C₂×C₁₁×C₄⋊C₄	C₂³	semidirect
54. C₂×C₁₁×C₂²⋊C₄	C₂³	semidirect
55. C₁₁×#95	C₂³	semidirect
56. C₂×#2847	C₁₁	direct (N × H)
69. C₂⁴×C₁₁	C₂×D₄	semidirect
92. C₂²×C₄×C₁₁	C₂×D₄	semidirect
99. C₂⁵×C₄	C₂×C₁₁	semidirect
100. C₂²×#121	C₂×C₁₁	semidirect
101. C₂²×#120	C₂×C₁₁	semidirect
102. #2847	C₂×C₁₁	direct (N × H)
103. C₂×#386	C₂×C₁₁	semidirect
104. C₂×#380	C₂×C₁₁	semidirect
121. C₂³×C₁₁	#121	semidirect
139. C₂×C₄×C₁₁	#120	semidirect
144. C₂³×D₄	C₂²×C₁₁	semidirect
148. C₂⁴×C₄	C₂²×C₁₁	semidirect
150. C₂×#121	C₂²×C₁₁	semidirect
152. C₂×#120	C₂²×C₁₁	semidirect
153. C₂²×C₄⋊C₄	C₂²×C₁₁	semidirect
155. C₂²×C₂²⋊C₄	C₂²×C₁₁	semidirect
156. #386	C₂²×C₁₁	semidirect
157. #380	C₂²×C₁₁	semidirect
158. C₂×#95	C₂²×C₁₁	semidirect
171. C₂²×C₁₁	C₂×#121	semidirect
178. C₄×C₁₁	C₂×#120	semidirect
181. C₂⁵	D₄×C₁₁	semidirect
190. C₂²×D₄	C₂³×C₁₁	semidirect
196. C₂³×C₄	D₄×C₁₁	semidirect
205. C₂×C₄⋊C₄	C₂³×C₁₁	semidirect
209. C₂×C₂²⋊C₄	C₂³×C₁₁	semidirect
210. #95	C₂³×C₁₁	semidirect
213. C₂×C₁₁	#2847	direct (N × H)
229. C₂⁴	C₂×D₄×C₁₁	semidirect
252. C₂²×C₄	C₂×D₄×C₁₁	semidirect
259. C₁₁	C₂×#2847	direct (N × H)
276. C₂³	C₁₁×#121	semidirect
294. C₂×C₄	C₁₁×#120	semidirect
309. C₂²	C₂×C₁₁×#121	semidirect
316. C₄	C₂×C₁₁×#120	semidirect
319. C₂	C₁₁×#2847	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂⁵×C₄×C₁₁	2
C₂²×C₁₁×#121	2
C₂²×C₁₁×#120	2
C₁₁×#2847	2
C₂×C₁₁×#386	2
C₂×C₁₁×#380	2
C₂×#2847	11

Subgroups — C2×C11×#2847 #14613804

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₁×#2847 #14613804