Subgroups — C₁₁×#18064 #14595257

Order 2816.

718 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	C₁₁×#2974	C₂	1	2	yes	maximal, complemented
2	C₂×C₄×C₁₁×D₈	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#1594	C₂	1	2	yes	maximal, complemented
4	C₁₁×#1581	C₂	1	4	yes	maximal, complemented
5	C₁₁×#1580	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1568	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1490	C₂	1	2	yes	maximal, complemented
8	C₁₁×#1451	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×C₁₁×D₈	C₄	1	1	yes	characteristic
10	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
11	C₄×C₁₁×D₈	C₄	1	2	yes	—
12	C₄×C₁₁×D₈	C₄	1	1	yes	characteristic
13	C₄×C₁₁×D₈	C₄	1	1	yes	characteristic
14	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
15	C₄×C₁₁×D₈	C₂²	1	2	yes	—
16	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
17	C₁₁×#436	C₂²	1	4	yes	complemented
18	C₁₁×#435	—	2	4	no	—
19	C₈×D₄×C₁₁	C₂²	1	4	yes	complemented
20	C₁₁×#432	C₂²	1	2	yes	—
21	C₁₁×#431	C₂²	1	1	yes	characteristic
22	C₂×C₁₁×#107	C₄	1	1	yes	characteristic
23	C₂×C₁₁×#102	C₄	1	2	yes	—
24	C₁₁×#407	—	2	2	no	—
25	C₂×C₁₁×C₂²⋊C₈	—	2	2	no	—
26	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
28	C₁₁×#335	C₂²	1	2	yes	complemented
29	C₁₁×#334	C₂²	1	2	yes	complemented
30	C₁₁×D₄⋊C₈	C₂²	1	4	yes	complemented
31	C₁₁×D₄⋊C₈	C₂²	1	4	yes	complemented
32	C₁₁×#322	C₂²	1	2	yes	complemented
33	C₁₁×#322	C₂²	1	2	yes	complemented
34	C₂²×D₄×C₁₁	C₂×C₄	1	2	yes	—
35	C₂³×C₄×C₁₁	—	2	2	no	—
36	C₂×C₁₁×D₈	—	2	4	no	—
37	C₂×C₁₁×D₈	C₂×C₄	1	2	yes	—
38	C₂×C₁₁×D₈	C₂×C₄	1	1	yes	characteristic
39	C₂×C₁₁×D₈	C₂×C₄	1	1	yes	characteristic
40	C₂×C₁₁×M₁₆	—	2	1	no	—
41	C₂×C₁₁×M₁₆	—	2	4	no	—
42	C₂²×C₈×C₁₁	—	2	4	no	—
43	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
44	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
45	C₄×D₄×C₁₁	—	2	2	no	—
46	C₄×D₄×C₁₁	—	2	2	no	—
47	C₄×D₄×C₁₁	C₂×C₄	1	2	yes	—
48	C₄×D₄×C₁₁	C₂×C₄	1	2	yes	—
49	C₄×D₄×C₁₁	C₂³	1	2	yes	—
50	C₄×D₄×C₁₁	C₂³	1	2	yes	—
51	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
52	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
53	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
54	C₁₁×#107	C₂×C₄	1	2	yes	—
55	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
56	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
57	C₁₁×C₄⋊C₈	D₄	1	2	yes	—
58	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
59	C₁₁×#102	C₂×C₄	1	2	yes	—
60	C₁₁×#102	C₂×C₄	1	2	yes	—
61	C₁₁×#102	C₂×C₄	1	2	yes	—
62	C₁₁×#102	C₂×C₄	1	2	yes	—
63	C₁₁×C₂²⋊C₈	—	2	2	no	—
64	C₁₁×C₂²⋊C₈	—	2	4	no	—
65	C₁₁×C₂²⋊C₈	—	2	4	no	—
66	C₁₁×C₂²⋊C₈	D₄	1	2	yes	—
67	C₁₁×#97	—	2	2	no	—
68	C₁₁×#97	—	2	1	no	—
69	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
70	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
71	C₄×C₈×C₁₁	C₂³	1	2	yes	—
72	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
73	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
74	C₄×C₈×C₁₁	C₂³	1	2	yes	—
75	#18064	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
76	C₂⁴×C₁₁	—	2	2	no	—
77	C₂×D₄×C₁₁	—	2	4	no	—
78	C₂×D₄×C₁₁	—	2	2	no	—
79	C₂×D₄×C₁₁	—	4	2	no	—
80	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
81	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
82	C₂²×C₄×C₁₁	—	2	2	no	—
83	C₂²×C₄×C₁₁	—	2	2	no	—
84	C₂²×C₄×C₁₁	—	2	2	no	—
85	C₂²×C₄×C₁₁	—	2	2	no	—
86	C₂²×C₄×C₁₁	—	2	2	no	—
87	C₂²×C₄×C₁₁	—	8	4	no	—
88	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
91	C₁₁×D₈	—	2	2	no	—
92	C₁₁×D₈	—	2	4	no	—
93	C₁₁×D₈	M₁₆	1	4	yes	complemented
94	C₁₁×M₁₆	—	4	2	no	—
95	C₁₁×M₁₆	—	8	4	no	—
96	C₂×C₈×C₁₁	—	2	2	no	—
97	C₂×C₈×C₁₁	—	2	4	no	—
98	C₂×C₈×C₁₁	—	2	2	no	—
99	C₂×C₈×C₁₁	—	4	1	no	—
100	C₂×C₈×C₁₁	—	8	4	no	—
101	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
102	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
103	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
104	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
105	C₂×C₈×C₁₁	C₂×D₄	1	4	yes	—
106	C₁₁×C₄⋊C₄	—	2	2	no	—
107	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
108	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
109	C₁₁×C₂²⋊C₄	—	2	2	no	—
110	C₁₁×C₂²⋊C₄	—	2	2	no	—
111	C₁₁×C₂²⋊C₄	—	2	2	no	—
112	C₁₁×C₂²⋊C₄	—	2	2	no	—
113	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
115	C₄²×C₁₁	#41	1	1	yes	characteristic
116	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
117	#2974	C₂×C₁₁	1	2	yes	complemented
118	C₂×C₄×D₈	C₂×C₁₁	1	1	yes	characteristic
119	#1594	C₂×C₁₁	1	2	yes	complemented
120	#1581	C₂×C₁₁	1	4	yes	complemented
121	#1580	C₂×C₁₁	1	2	yes	complemented
122	#1568	C₂×C₁₁	1	1	yes	characteristic, complemented
123	#1490	C₂×C₁₁	1	2	yes	complemented
124	#1451	C₂×C₁₁	1	1	yes	characteristic, complemented
125	C₂³×C₁₁	—	2	2	no	—
126	C₂³×C₁₁	—	2	2	no	—
127	C₂³×C₁₁	—	4	4	no	—
128	C₂³×C₁₁	—	4	4	no	—
129	C₂³×C₁₁	—	8	2	no	—
130	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
131	D₄×C₁₁	—	2	2	no	—
132	D₄×C₁₁	—	2	2	no	—
133	D₄×C₁₁	—	2	2	no	—
134	D₄×C₁₁	—	4	4	no	—
135	D₄×C₁₁	C₂×M₁₆	1	4	yes	—
136	C₂×C₄×C₁₁	—	2	2	no	—
137	C₂×C₄×C₁₁	—	2	1	no	—
138	C₂×C₄×C₁₁	—	2	1	no	—
139	C₂×C₄×C₁₁	—	2	2	no	—
140	C₂×C₄×C₁₁	—	2	2	no	—
141	C₂×C₄×C₁₁	—	2	2	no	—
142	C₂×C₄×C₁₁	—	4	4	no	—
143	C₂×C₄×C₁₁	—	4	4	no	—
144	C₂×C₄×C₁₁	—	8	2	no	—
145	C₂×C₄×C₁₁	—	8	2	no	—
146	C₂×C₄×C₁₁	—	8	2	no	—
147	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
148	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
149	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
150	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
151	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
153	C₈×C₁₁	—	2	1	no	—
154	C₈×C₁₁	—	2	1	no	—
155	C₈×C₁₁	—	2	1	no	—
156	C₈×C₁₁	—	2	4	no	—
157	C₈×C₁₁	—	4	2	no	—
158	C₈×C₁₁	—	4	4	no	—
159	C₈×C₁₁	C₂×M₁₆	1	2	yes	—
160	C₂²×D₈	C₄×C₁₁	1	1	yes	characteristic
161	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
162	C₄×D₈	C₄×C₁₁	1	2	yes	—
163	C₄×D₈	C₄×C₁₁	1	1	yes	characteristic
164	C₄×D₈	C₄×C₁₁	1	1	yes	characteristic
165	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
166	C₄×D₈	C₂²×C₁₁	1	2	yes	—
167	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
168	#436	C₂²×C₁₁	1	4	yes	complemented
169	#435	—	2	4	no	—
170	C₈×D₄	C₂²×C₁₁	1	4	yes	complemented
171	#432	C₂²×C₁₁	1	2	yes	—
172	#431	C₂²×C₁₁	1	1	yes	characteristic
173	C₂×#107	C₄×C₁₁	1	1	yes	characteristic
174	C₂×#102	C₄×C₁₁	1	2	yes	—
175	#407	—	2	2	no	—
176	C₂×C₂²⋊C₈	—	2	2	no	—
177	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
178	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
179	#335	C₂²×C₁₁	1	2	yes	complemented
180	#334	C₂²×C₁₁	1	2	yes	complemented
181	D₄⋊C₈	C₂²×C₁₁	1	4	yes	complemented
182	D₄⋊C₈	C₂²×C₁₁	1	4	yes	complemented
183	#322	C₂²×C₁₁	1	2	yes	complemented
184	#322	C₂²×C₁₁	1	2	yes	complemented
185	C₂²×C₁₁	—	2	1	no	—
186	C₂²×C₁₁	—	2	1	no	—
187	C₂²×C₁₁	—	2	4	no	—
188	C₂²×C₁₁	—	4	2	no	—
189	C₂²×C₁₁	—	4	2	no	—
190	C₂²×C₁₁	—	4	2	no	—
191	C₂²×C₁₁	—	4	2	no	—
192	C₂²×C₁₁	—	4	2	no	—
193	C₂²×C₁₁	—	8	8	no	—
194	C₂²×C₁₁	#444	1	2	yes	—
195	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
196	C₄×C₁₁	—	2	1	no	—
197	C₄×C₁₁	—	2	1	no	—
198	C₄×C₁₁	—	2	1	no	—
199	C₄×C₁₁	—	2	1	no	—
200	C₄×C₁₁	—	4	2	no	—
201	C₄×C₁₁	—	4	2	no	—
202	C₄×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
203	C₄×C₁₁	#568	1	1	yes	characteristic
204	C₄×C₁₁	#576	1	2	yes	—
205	C₂²×D₄	C₂×C₄×C₁₁	1	2	yes	—
206	C₂³×C₄	—	2	2	no	—
207	C₂×D₈	—	2	4	no	—
208	C₂×D₈	C₂×C₄×C₁₁	1	2	yes	—
209	C₂×D₈	C₂×C₄×C₁₁	1	1	yes	characteristic
210	C₂×D₈	C₂×C₄×C₁₁	1	1	yes	characteristic
211	C₂×M₁₆	—	2	1	no	—
212	C₂×M₁₆	—	2	4	no	—
213	C₂²×C₈	—	2	4	no	—
214	C₂²×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
215	C₂²×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
216	C₄×D₄	—	2	2	no	—
217	C₄×D₄	—	2	2	no	—
218	C₄×D₄	C₂×C₄×C₁₁	1	2	yes	—
219	C₄×D₄	C₂×C₄×C₁₁	1	2	yes	—
220	C₄×D₄	C₂³×C₁₁	1	2	yes	—
221	C₄×D₄	C₂³×C₁₁	1	2	yes	—
222	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
223	C₂×C₂²⋊C₄	—	2	2	no	—
224	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
225	#107	C₂×C₄×C₁₁	1	2	yes	—
226	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
227	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
228	C₄⋊C₈	D₄×C₁₁	1	2	yes	—
229	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
230	#102	C₂×C₄×C₁₁	1	2	yes	—
231	#102	C₂×C₄×C₁₁	1	2	yes	—
232	#102	C₂×C₄×C₁₁	1	2	yes	—
233	#102	C₂×C₄×C₁₁	1	2	yes	—
234	C₂²⋊C₈	—	2	2	no	—
235	C₂²⋊C₈	—	2	4	no	—
236	C₂²⋊C₈	—	2	4	no	—
237	C₂²⋊C₈	D₄×C₁₁	1	2	yes	—
238	#97	—	2	2	no	—
239	#97	—	2	1	no	—
240	C₄×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
241	C₄×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
242	C₄×C₈	C₂³×C₁₁	1	2	yes	—
243	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
244	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
245	C₄×C₈	C₂³×C₁₁	1	2	yes	—
246	C₂×C₁₁	—	2	2	no	—
247	C₂×C₁₁	—	4	4	no	—
248	C₂×C₁₁	—	8	2	no	—
249	C₂×C₁₁	D₄×M₁₆	1	1	yes	characteristic
250	C₂×C₁₁	#2948	1	1	yes	characteristic
251	C₂×C₁₁	C₂×#444	1	1	yes	characteristic
252	C₂⁴	—	2	2	no	—
253	C₂×D₄	—	2	4	no	—
254	C₂×D₄	—	2	2	no	—
255	C₂×D₄	—	4	2	no	—
256	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
257	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
258	C₂²×C₄	—	2	2	no	—
259	C₂²×C₄	—	2	2	no	—
260	C₂²×C₄	—	2	2	no	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	2	2	no	—
263	C₂²×C₄	—	8	4	no	—
264	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
265	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
266	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
267	D₈	—	2	4	no	—
268	D₈	—	2	2	no	—
269	D₈	C₁₁×M₁₆	1	4	yes	complemented
270	M₁₆	—	4	2	no	—
271	M₁₆	—	8	4	no	—
272	C₂×C₈	—	2	2	no	—
273	C₂×C₈	—	2	4	no	—
274	C₂×C₈	—	2	2	no	—
275	C₂×C₈	—	4	1	no	—
276	C₂×C₈	—	8	4	no	—
277	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
278	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
279	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
280	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
281	C₂×C₈	C₂×D₄×C₁₁	1	4	yes	—
282	C₄⋊C₄	—	2	2	no	—
283	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
284	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
285	C₂²⋊C₄	—	2	2	no	—
286	C₂²⋊C₄	—	2	2	no	—
287	C₂²⋊C₄	—	2	2	no	—
288	C₂²⋊C₄	—	2	2	no	—
289	C₄²	C₂²×C₄×C₁₁	1	1	yes	characteristic
290	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
291	C₄²	C₁₁×#41	1	1	yes	characteristic
292	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
293	C₁₁	#18064	1	1	yes	characteristic, direct product factor, Sylow
294	C₂³	—	2	2	no	—
295	C₂³	—	2	2	no	—
296	C₂³	—	4	4	no	—
297	C₂³	—	4	4	no	—
298	C₂³	—	8	2	no	—
299	C₂³	C₄×D₄×C₁₁	1	1	yes	characteristic
300	D₄	—	2	2	no	—
301	D₄	—	2	2	no	—
302	D₄	—	2	2	no	—
303	D₄	—	4	4	no	—
304	D₄	C₂×C₁₁×M₁₆	1	4	yes	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	2	no	—
309	C₂×C₄	—	2	2	no	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	4	4	no	—
312	C₂×C₄	—	4	4	no	—
313	C₂×C₄	—	8	2	no	—
314	C₂×C₄	—	8	2	no	—
315	C₂×C₄	—	8	2	no	—
316	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
317	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
318	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
319	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
320	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
321	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
322	C₈	—	2	1	no	—
323	C₈	—	2	1	no	—
324	C₈	—	2	1	no	—
325	C₈	—	2	4	no	—
326	C₈	—	4	2	no	—
327	C₈	—	4	4	no	—
328	C₈	C₂×C₁₁×M₁₆	1	2	yes	—
329	C₂²	—	2	1	no	—
330	C₂²	—	2	1	no	—
331	C₂²	—	2	4	no	—
332	C₂²	—	4	2	no	—
333	C₂²	—	4	2	no	—
334	C₂²	—	4	2	no	—
335	C₂²	—	4	2	no	—
336	C₂²	—	4	2	no	—
337	C₂²	—	8	8	no	—
338	C₂²	C₁₁×#444	1	2	yes	—
339	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
340	C₄	—	2	1	no	—
341	C₄	—	2	1	no	—
342	C₄	—	2	1	no	—
343	C₄	—	2	1	no	—
344	C₄	—	4	2	no	—
345	C₄	—	4	2	no	—
346	C₄	C₂²×C₁₁×M₁₆	1	1	yes	characteristic
347	C₄	C₁₁×#568	1	1	yes	characteristic
348	C₄	C₁₁×#576	1	2	yes	—
349	C₂	—	2	2	no	—
350	C₂	—	4	4	no	—
351	C₂	—	8	2	no	—
352	C₂	D₄×C₁₁×M₁₆	1	1	yes	characteristic
353	C₂	C₁₁×#2948	1	1	yes	characteristic
354	C₂	C₂×C₁₁×#444	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₁	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₁
Frattini, cosocle	C₄²	C₂⁴×C₁₁
socle	C₂²×C₁₁	C₂×C₄×D₄
prime radical	C₂²×C₁₁×D₈	C₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₁ ◁ C₁₁×#431 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#2974	C₂	semidirect
3. C₁₁×#1594	C₂	semidirect
4. C₁₁×#1581	C₂	semidirect
5. C₁₁×#1580	C₂	semidirect
6. C₁₁×#1568	C₂	semidirect
7. C₁₁×#1490	C₂	semidirect
8. C₁₁×#1451	C₂	semidirect
17. C₁₁×#436	C₂²	semidirect
19. C₈×D₄×C₁₁	C₂²	semidirect
28. C₁₁×#335	C₂²	semidirect
29. C₁₁×#334	C₂²	semidirect
30. C₁₁×D₄⋊C₈	C₂²	semidirect
31. C₁₁×D₄⋊C₈	C₂²	semidirect
32. C₁₁×#322	C₂²	semidirect
33. C₁₁×#322	C₂²	semidirect
75. #18064	C₁₁	direct (N × H)
93. C₁₁×D₈	M₁₆	semidirect
117. #2974	C₂×C₁₁	semidirect
119. #1594	C₂×C₁₁	semidirect
120. #1581	C₂×C₁₁	semidirect
121. #1580	C₂×C₁₁	semidirect
122. #1568	C₂×C₁₁	semidirect
123. #1490	C₂×C₁₁	semidirect
124. #1451	C₂×C₁₁	semidirect
168. #436	C₂²×C₁₁	semidirect
170. C₈×D₄	C₂²×C₁₁	semidirect
179. #335	C₂²×C₁₁	semidirect
180. #334	C₂²×C₁₁	semidirect
181. D₄⋊C₈	C₂²×C₁₁	semidirect
182. D₄⋊C₈	C₂²×C₁₁	semidirect
183. #322	C₂²×C₁₁	semidirect
184. #322	C₂²×C₁₁	semidirect
269. D₈	C₁₁×M₁₆	semidirect
293. C₁₁	#18064	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₁×#2974	2
C₂×C₄×C₁₁×D₈	2
C₁₁×#1594	2
C₁₁×#1581	2
C₁₁×#1580	2
C₁₁×#1568	2
C₁₁×#1490	2
C₁₁×#1451	2
#18064	11

Subgroups — C11×#18064 #14595257

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#18064 #14595257