Subgroups — C₁₁×#36614 #14613807

Order 2816.

7538 conjugacy classes of subgroups.

The subgroup lattice has 334 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	C₂×C₁₁×#525	C₂	1	3	yes	maximal, complemented
3	C₁₁×#2849	C₂	1	6	yes	maximal, complemented
4	C₁₁×#2848	C₂	1	4	yes	maximal, complemented
5	C₁₁×#2847	C₂	1	4	yes	maximal, complemented
6	C₁₁×#2846	C₂	1	2	yes	maximal, complemented
7	C₄×C₁₁×#120	C₂	1	8	yes	maximal, complemented
8	C₁₁×#2280	C₂	1	3	yes	maximal, complemented
9	C₂⁶×C₁₁	C₂²	1	1	yes	characteristic
10	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic, complemented
11	C₂⁴×C₄×C₁₁	—	2	24	no	—
12	C₂⁴×C₄×C₁₁	C₂²	1	4	yes	—
13	C₂⁴×C₄×C₁₁	C₂²	1	4	yes	—
14	C₂⁴×C₄×C₁₁	C₂²	1	3	yes	—
15	C₂⁴×C₄×C₁₁	C₂²	1	3	yes	—
16	C₁₁×#525	—	2	24	no	—
17	C₂×C₁₁×#123	C₂²	1	6	yes	complemented
18	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	6	yes	complemented
19	C₂×C₁₁×#121	C₂²	1	6	yes	complemented
20	C₂×C₁₁×#120	C₂²	1	6	yes	—
21	C₂×C₁₁×#120	C₂²	1	8	yes	—
22	C₂×C₄×D₄×C₁₁	C₂²	1	12	yes	complemented
23	C₂×C₁₁×#117	C₂²	1	3	yes	complemented
24	C₁₁×#386	C₂²	1	24	yes	complemented
25	C₁₁×#385	C₂²	1	24	yes	complemented
26	C₁₁×#381	C₂²	1	6	yes	complemented
27	C₁₁×#380	C₂²	1	12	yes	complemented
28	C₁₁×#379	C₂²	1	6	yes	—
29	C₁₁×#379	C₂²	1	8	yes	—
30	C₄×C₁₁×C₂²⋊C₄	C₂²	1	12	yes	complemented
31	C₂⁵×C₁₁	—	2	12	no	—
32	C₂⁵×C₁₁	—	2	16	no	—
33	C₂⁵×C₁₁	C₂³	1	3	yes	—
34	C₂⁵×C₁₁	C₂³	1	4	yes	—
35	C₂×C₁₁×#41	—	2	12	no	—
36	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic, complemented
37	C₂²×D₄×C₁₁	C₂³	1	12	yes	—
38	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
39	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic, complemented
40	C₂³×C₄×C₁₁	—	2	128	no	—
41	C₂³×C₄×C₁₁	—	2	12	no	—
42	C₂³×C₄×C₁₁	—	2	48	no	—
43	C₂³×C₄×C₁₁	—	2	48	no	—
44	C₂³×C₄×C₁₁	—	2	24	no	—
45	C₂³×C₄×C₁₁	—	2	24	no	—
46	C₂³×C₄×C₁₁	D₄	1	24	yes	complemented
47	C₂³×C₄×C₁₁	C₂³	1	12	yes	—
48	C₂³×C₄×C₁₁	C₂³	1	6	yes	—
49	C₂³×C₄×C₁₁	C₂³	1	3	yes	—
50	C₂³×C₄×C₁₁	C₂³	1	6	yes	—
51	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
52	C₂³×C₄×C₁₁	C₂³	1	2	yes	complemented
53	C₁₁×#123	—	2	24	no	—
54	C₁₁×C₂²⋊Q₈	—	2	24	no	—
55	C₁₁×#121	—	2	24	no	—
56	C₁₁×#120	—	2	24	no	—
57	C₁₁×#120	—	2	32	no	—
58	C₄×D₄×C₁₁	—	2	48	no	—
59	C₁₁×#117	—	2	12	no	—
60	C₂×C₁₁×C₄⋊C₄	C₂³	1	6	yes	complemented
61	C₂×C₁₁×C₄⋊C₄	C₂³	1	12	yes	complemented
62	C₂×C₁₁×C₂²⋊C₄	C₂³	1	6	yes	—
63	C₂×C₁₁×C₂²⋊C₄	C₂³	1	24	yes	—
64	C₂×C₁₁×C₂²⋊C₄	C₂³	1	12	yes	—
65	C₂×C₁₁×C₂²⋊C₄	C₂³	1	12	yes	complemented
66	C₂×C₄²×C₁₁	C₂³	1	6	yes	complemented
67	C₁₁×#95	C₂³	1	24	yes	complemented
68	#36614	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
69	C₂⁴×C₁₁	—	2	32	no	—
70	C₂⁴×C₁₁	—	2	192	no	—
71	C₂⁴×C₁₁	—	2	24	no	—
72	C₂⁴×C₁₁	—	2	12	no	—
73	C₂⁴×C₁₁	—	2	24	no	—
74	C₂⁴×C₁₁	—	2	24	no	—
75	C₂⁴×C₁₁	C₂×D₄	1	12	yes	—
76	C₂⁴×C₁₁	#41	1	16	yes	complemented
77	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
78	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
79	C₂⁴×C₁₁	C₂⁴	1	6	yes	—
80	C₁₁×#41	—	4	16	no	—
81	C₂×Q₈×C₁₁	—	2	6	no	—
82	C₂×D₄×C₁₁	—	2	24	no	—
83	C₂×D₄×C₁₁	—	2	12	no	—
84	C₂×D₄×C₁₁	—	2	48	no	—
85	C₂×D₄×C₁₁	—	2	6	no	—
86	C₂²×C₄×C₁₁	—	2	96	no	—
87	C₂²×C₄×C₁₁	—	2	128	no	—
88	C₂²×C₄×C₁₁	—	2	128	no	—
89	C₂²×C₄×C₁₁	—	2	24	no	—
90	C₂²×C₄×C₁₁	—	2	12	no	—
91	C₂²×C₄×C₁₁	—	2	96	no	—
92	C₂²×C₄×C₁₁	—	2	48	no	—
93	C₂²×C₄×C₁₁	—	2	24	no	—
94	C₂²×C₄×C₁₁	—	2	24	no	—
95	C₂²×C₄×C₁₁	—	2	12	no	—
96	C₂²×C₄×C₁₁	C₂×D₄	1	24	yes	—
97	C₂²×C₄×C₁₁	C₂×D₄	1	24	yes	—
98	C₂²×C₄×C₁₁	C₂×D₄	1	12	yes	—
99	C₂²×C₄×C₁₁	C₂×D₄	1	12	yes	—
100	C₂²×C₄×C₁₁	C₂⁴	1	12	yes	—
101	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
102	C₂²×C₄×C₁₁	C₂⁴	1	6	yes	—
103	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
104	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
105	C₁₁×C₄⋊C₄	—	2	12	no	—
106	C₁₁×C₄⋊C₄	—	2	24	no	—
107	C₁₁×C₂²⋊C₄	—	2	12	no	—
108	C₁₁×C₂²⋊C₄	—	2	24	no	—
109	C₁₁×C₂²⋊C₄	—	2	48	no	—
110	C₁₁×C₂²⋊C₄	—	2	24	no	—
111	C₄²×C₁₁	—	2	12	no	—
112	C₂⁵×C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
113	C₂×#525	C₂×C₁₁	1	3	yes	complemented
114	#2849	C₂×C₁₁	1	6	yes	complemented
115	#2848	C₂×C₁₁	1	4	yes	complemented
116	#2847	C₂×C₁₁	1	4	yes	complemented
117	#2846	C₂×C₁₁	1	2	yes	complemented
118	C₄×#120	C₂×C₁₁	1	8	yes	complemented
119	#2280	C₂×C₁₁	1	3	yes	complemented
120	C₂³×C₁₁	—	2	32	no	—
121	C₂³×C₁₁	—	2	256	no	—
122	C₂³×C₁₁	—	2	96	no	—
123	C₂³×C₁₁	—	2	96	no	—
124	C₂³×C₁₁	—	2	24	no	—
125	C₂³×C₁₁	—	2	48	no	—
126	C₂³×C₁₁	—	2	96	no	—
127	C₂³×C₁₁	—	2	12	no	—
128	C₂³×C₁₁	—	2	4	no	—
129	C₂³×C₁₁	—	2	12	no	—
130	C₂³×C₁₁	—	2	6	no	—
131	C₂³×C₁₁	—	2	8	no	—
132	C₂³×C₁₁	C₂²×D₄	1	6	yes	—
133	C₂³×C₁₁	C₂²×D₄	1	12	yes	—
134	C₂³×C₁₁	C₂×#41	1	24	yes	—
135	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
136	Q₈×C₁₁	—	4	4	no	—
137	D₄×C₁₁	—	4	8	no	—
138	D₄×C₁₁	—	4	48	no	—
139	D₄×C₁₁	—	4	4	no	—
140	C₂×C₄×C₁₁	—	2	96	no	—
141	C₂×C₄×C₁₁	—	2	24	no	—
142	C₂×C₄×C₁₁	—	2	12	no	—
143	C₂×C₄×C₁₁	—	2	48	no	—
144	C₂×C₄×C₁₁	—	2	48	no	—
145	C₂×C₄×C₁₁	—	2	12	no	—
146	C₂×C₄×C₁₁	—	2	6	no	—
147	C₂×C₄×C₁₁	—	2	24	no	—
148	C₂×C₄×C₁₁	—	4	8	no	—
149	C₂×C₄×C₁₁	#120	1	16	yes	complemented
150	C₂×C₄×C₁₁	C₂²×D₄	1	12	yes	—
151	C₂×C₄×C₁₁	C₂²×D₄	1	6	yes	—
152	C₂×C₄×C₁₁	C₂²×D₄	1	6	yes	—
153	C₂⁶	C₂²×C₁₁	1	1	yes	characteristic
154	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic, complemented
155	C₂⁴×C₄	—	2	24	no	—
156	C₂⁴×C₄	C₂²×C₁₁	1	4	yes	—
157	C₂⁴×C₄	C₂²×C₁₁	1	3	yes	—
158	C₂⁴×C₄	C₂²×C₁₁	1	4	yes	—
159	C₂⁴×C₄	C₂²×C₁₁	1	3	yes	—
160	#525	—	2	24	no	—
161	C₂×#123	C₂²×C₁₁	1	6	yes	complemented
162	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	6	yes	complemented
163	C₂×#121	C₂²×C₁₁	1	6	yes	complemented
164	C₂×#120	C₂²×C₁₁	1	8	yes	—
165	C₂×#120	C₂²×C₁₁	1	6	yes	—
166	C₂×C₄×D₄	C₂²×C₁₁	1	12	yes	complemented
167	C₂×#117	C₂²×C₁₁	1	3	yes	complemented
168	#386	C₂²×C₁₁	1	24	yes	complemented
169	#385	C₂²×C₁₁	1	24	yes	complemented
170	#381	C₂²×C₁₁	1	6	yes	complemented
171	#380	C₂²×C₁₁	1	12	yes	complemented
172	#379	C₂²×C₁₁	1	8	yes	—
173	#379	C₂²×C₁₁	1	6	yes	—
174	C₄×C₂²⋊C₄	C₂²×C₁₁	1	12	yes	complemented
175	C₂²×C₁₁	—	2	96	no	—
176	C₂²×C₁₁	—	2	128	no	—
177	C₂²×C₁₁	—	2	12	no	—
178	C₂²×C₁₁	—	2	12	no	—
179	C₂²×C₁₁	—	2	12	no	—
180	C₂²×C₁₁	—	2	48	no	—
181	C₂²×C₁₁	—	4	2	no	—
182	C₂²×C₁₁	—	4	12	no	—
183	C₂²×C₁₁	C₂×#120	1	4	yes	—
184	C₂²×C₁₁	#525	1	24	yes	complemented
185	C₂²×C₁₁	C₂³×D₄	1	3	yes	—
186	C₂²×C₁₁	C₂²×#41	1	4	yes	—
187	C₄×C₁₁	—	2	12	no	—
188	C₄×C₁₁	—	4	2	no	—
189	C₄×C₁₁	—	4	12	no	—
190	C₄×C₁₁	C₂×#120	1	4	yes	—
191	C₄×C₁₁	C₂×#120	1	4	yes	—
192	C₂⁵	—	2	12	no	—
193	C₂⁵	—	2	16	no	—
194	C₂⁵	C₂³×C₁₁	1	3	yes	—
195	C₂⁵	C₂³×C₁₁	1	4	yes	—
196	C₂×#41	—	2	12	no	—
197	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic, complemented
198	C₂²×D₄	C₂³×C₁₁	1	12	yes	—
199	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
200	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic, complemented
201	C₂³×C₄	—	2	128	no	—
202	C₂³×C₄	—	2	12	no	—
203	C₂³×C₄	—	2	48	no	—
204	C₂³×C₄	—	2	48	no	—
205	C₂³×C₄	—	2	24	no	—
206	C₂³×C₄	—	2	24	no	—
207	C₂³×C₄	D₄×C₁₁	1	24	yes	complemented
208	C₂³×C₄	C₂³×C₁₁	1	12	yes	—
209	C₂³×C₄	C₂³×C₁₁	1	6	yes	—
210	C₂³×C₄	C₂³×C₁₁	1	6	yes	—
211	C₂³×C₄	C₂³×C₁₁	1	3	yes	—
212	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
213	C₂³×C₄	C₂³×C₁₁	1	2	yes	complemented
214	#123	—	2	24	no	—
215	C₂²⋊Q₈	—	2	24	no	—
216	#121	—	2	24	no	—
217	#120	—	2	24	no	—
218	#120	—	2	32	no	—
219	C₄×D₄	—	2	48	no	—
220	#117	—	2	12	no	—
221	C₂×C₄⋊C₄	C₂³×C₁₁	1	6	yes	complemented
222	C₂×C₄⋊C₄	C₂³×C₁₁	1	12	yes	complemented
223	C₂×C₂²⋊C₄	C₂³×C₁₁	1	6	yes	—
224	C₂×C₂²⋊C₄	C₂³×C₁₁	1	12	yes	—
225	C₂×C₂²⋊C₄	C₂³×C₁₁	1	24	yes	—
226	C₂×C₂²⋊C₄	C₂³×C₁₁	1	12	yes	complemented
227	C₂×C₄²	C₂³×C₁₁	1	6	yes	complemented
228	#95	C₂³×C₁₁	1	24	yes	complemented
229	C₂×C₁₁	—	2	4	no	—
230	C₂×C₁₁	—	2	24	no	—
231	C₂×C₁₁	—	8	2	no	—
232	C₂×C₁₁	C₂²×#120	1	1	yes	characteristic
233	C₂×C₁₁	C₂×#525	1	6	yes	—
234	C₂⁴	—	2	32	no	—
235	C₂⁴	—	2	192	no	—
236	C₂⁴	—	2	24	no	—
237	C₂⁴	—	2	12	no	—
238	C₂⁴	—	2	24	no	—
239	C₂⁴	—	2	24	no	—
240	C₂⁴	C₂×D₄×C₁₁	1	12	yes	—
241	C₂⁴	C₁₁×#41	1	16	yes	complemented
242	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
243	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
244	C₂⁴	C₂⁴×C₁₁	1	6	yes	—
245	#41	—	4	16	no	—
246	C₂×Q₈	—	2	6	no	—
247	C₂×D₄	—	2	24	no	—
248	C₂×D₄	—	2	12	no	—
249	C₂×D₄	—	2	48	no	—
250	C₂×D₄	—	2	6	no	—
251	C₂²×C₄	—	2	96	no	—
252	C₂²×C₄	—	2	128	no	—
253	C₂²×C₄	—	2	128	no	—
254	C₂²×C₄	—	2	24	no	—
255	C₂²×C₄	—	2	12	no	—
256	C₂²×C₄	—	2	96	no	—
257	C₂²×C₄	—	2	48	no	—
258	C₂²×C₄	—	2	24	no	—
259	C₂²×C₄	—	2	24	no	—
260	C₂²×C₄	—	2	12	no	—
261	C₂²×C₄	C₂×D₄×C₁₁	1	24	yes	—
262	C₂²×C₄	C₂×D₄×C₁₁	1	24	yes	—
263	C₂²×C₄	C₂×D₄×C₁₁	1	12	yes	—
264	C₂²×C₄	C₂×D₄×C₁₁	1	12	yes	—
265	C₂²×C₄	C₂⁴×C₁₁	1	12	yes	—
266	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
267	C₂²×C₄	C₂⁴×C₁₁	1	6	yes	—
268	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
269	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
270	C₄⋊C₄	—	2	12	no	—
271	C₄⋊C₄	—	2	24	no	—
272	C₂²⋊C₄	—	2	12	no	—
273	C₂²⋊C₄	—	2	24	no	—
274	C₂²⋊C₄	—	2	48	no	—
275	C₂²⋊C₄	—	2	24	no	—
276	C₄²	—	2	12	no	—
277	C₁₁	#36614	1	1	yes	characteristic, direct product factor, Sylow
278	C₂³	—	2	32	no	—
279	C₂³	—	2	256	no	—
280	C₂³	—	2	96	no	—
281	C₂³	—	2	96	no	—
282	C₂³	—	2	24	no	—
283	C₂³	—	2	48	no	—
284	C₂³	—	2	96	no	—
285	C₂³	—	2	12	no	—
286	C₂³	—	2	4	no	—
287	C₂³	—	2	12	no	—
288	C₂³	—	2	6	no	—
289	C₂³	—	2	8	no	—
290	C₂³	C₂²×D₄×C₁₁	1	6	yes	—
291	C₂³	C₂²×D₄×C₁₁	1	12	yes	—
292	C₂³	C₂×C₁₁×#41	1	24	yes	—
293	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
294	Q₈	—	4	4	no	—
295	D₄	—	4	8	no	—
296	D₄	—	4	48	no	—
297	D₄	—	4	4	no	—
298	C₂×C₄	—	2	96	no	—
299	C₂×C₄	—	2	24	no	—
300	C₂×C₄	—	2	12	no	—
301	C₂×C₄	—	2	48	no	—
302	C₂×C₄	—	2	48	no	—
303	C₂×C₄	—	2	12	no	—
304	C₂×C₄	—	2	6	no	—
305	C₂×C₄	—	2	24	no	—
306	C₂×C₄	—	4	8	no	—
307	C₂×C₄	C₁₁×#120	1	16	yes	complemented
308	C₂×C₄	C₂²×D₄×C₁₁	1	12	yes	—
309	C₂×C₄	C₂²×D₄×C₁₁	1	6	yes	—
310	C₂×C₄	C₂²×D₄×C₁₁	1	6	yes	—
311	C₂²	—	2	96	no	—
312	C₂²	—	2	128	no	—
313	C₂²	—	2	12	no	—
314	C₂²	—	2	12	no	—
315	C₂²	—	2	12	no	—
316	C₂²	—	2	48	no	—
317	C₂²	—	4	2	no	—
318	C₂²	—	4	12	no	—
319	C₂²	C₂×C₁₁×#120	1	4	yes	—
320	C₂²	C₁₁×#525	1	24	yes	complemented
321	C₂²	C₂³×D₄×C₁₁	1	3	yes	—
322	C₂²	C₂²×C₁₁×#41	1	4	yes	—
323	C₄	—	2	12	no	—
324	C₄	—	4	2	no	—
325	C₄	—	4	12	no	—
326	C₄	C₂×C₁₁×#120	1	4	yes	—
327	C₄	C₂×C₁₁×#120	1	4	yes	—
328	C₂	—	2	4	no	—
329	C₂	—	2	24	no	—
330	C₂	—	8	2	no	—
331	C₂	C₂²×C₁₁×#120	1	1	yes	characteristic
332	C₂	C₂×C₁₁×#525	1	6	yes	—

	subgroup	G/H
center	C₂²×C₄×C₁₁	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
socle	C₂³×C₁₁	C₂⁵
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×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. C₂×C₁₁×#525	C₂	semidirect
3. C₁₁×#2849	C₂	semidirect
4. C₁₁×#2848	C₂	semidirect
5. C₁₁×#2847	C₂	semidirect
6. C₁₁×#2846	C₂	semidirect
7. C₄×C₁₁×#120	C₂	semidirect
8. C₁₁×#2280	C₂	semidirect
10. C₂²×C₁₁×#41	C₂²	semidirect
17. C₂×C₁₁×#123	C₂²	semidirect
18. C₂×C₁₁×C₂²⋊Q₈	C₂²	semidirect
19. C₂×C₁₁×#121	C₂²	semidirect
22. C₂×C₄×D₄×C₁₁	C₂²	semidirect
23. C₂×C₁₁×#117	C₂²	semidirect
24. C₁₁×#386	C₂²	semidirect
25. C₁₁×#385	C₂²	semidirect
26. C₁₁×#381	C₂²	semidirect
27. C₁₁×#380	C₂²	semidirect
30. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
36. C₂²×Q₈×C₁₁	C₂³	semidirect
39. C₂²×D₄×C₁₁	C₂³	semidirect
46. C₂³×C₄×C₁₁	D₄	semidirect
52. C₂³×C₄×C₁₁	C₂³	semidirect
60. C₂×C₁₁×C₄⋊C₄	C₂³	semidirect
61. C₂×C₁₁×C₄⋊C₄	C₂³	semidirect
65. C₂×C₁₁×C₂²⋊C₄	C₂³	semidirect
66. C₂×C₄²×C₁₁	C₂³	semidirect
67. C₁₁×#95	C₂³	semidirect
68. #36614	C₁₁	direct (N × H)
76. C₂⁴×C₁₁	#41	semidirect
112. C₂⁵×C₄	C₂×C₁₁	semidirect
113. C₂×#525	C₂×C₁₁	semidirect
114. #2849	C₂×C₁₁	semidirect
115. #2848	C₂×C₁₁	semidirect
116. #2847	C₂×C₁₁	semidirect
117. #2846	C₂×C₁₁	semidirect
118. C₄×#120	C₂×C₁₁	semidirect
119. #2280	C₂×C₁₁	semidirect
149. C₂×C₄×C₁₁	#120	semidirect
154. C₂²×#41	C₂²×C₁₁	semidirect
161. C₂×#123	C₂²×C₁₁	semidirect
162. C₂×C₂²⋊Q₈	C₂²×C₁₁	semidirect
163. C₂×#121	C₂²×C₁₁	semidirect
166. C₂×C₄×D₄	C₂²×C₁₁	semidirect
167. C₂×#117	C₂²×C₁₁	semidirect
168. #386	C₂²×C₁₁	semidirect
169. #385	C₂²×C₁₁	semidirect
170. #381	C₂²×C₁₁	semidirect
171. #380	C₂²×C₁₁	semidirect
174. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
184. C₂²×C₁₁	#525	semidirect
197. C₂²×Q₈	C₂³×C₁₁	semidirect
200. C₂²×D₄	C₂³×C₁₁	semidirect
207. C₂³×C₄	D₄×C₁₁	semidirect
213. C₂³×C₄	C₂³×C₁₁	semidirect
221. C₂×C₄⋊C₄	C₂³×C₁₁	semidirect
222. C₂×C₄⋊C₄	C₂³×C₁₁	semidirect
226. C₂×C₂²⋊C₄	C₂³×C₁₁	semidirect
227. C₂×C₄²	C₂³×C₁₁	semidirect
228. #95	C₂³×C₁₁	semidirect
241. C₂⁴	C₁₁×#41	semidirect
277. C₁₁	#36614	direct (N × H)
307. C₂×C₄	C₁₁×#120	semidirect
320. C₂²	C₁₁×#525	semidirect

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
C₂×C₁₁×#525	2
C₁₁×#2849	2
C₁₁×#2848	2
C₁₁×#2847	2
C₁₁×#2846	2
C₄×C₁₁×#120	2
C₁₁×#2280	2
#36614	11

Subgroups — C11×#36614 #14613807

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36614 #14613807