Subgroups — C₁₁×#18054 #14595247

Order 2816.

726 conjugacy classes of subgroups.

The subgroup lattice has 362 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×#1589	C₂	1	2	yes	maximal, complemented
4	C₁₁×#1586	C₂	1	4	yes	maximal, complemented
5	C₈×C₁₁×D₈	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	C₈×C₁₁×M₁₆	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	C₈²×C₁₁	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	1	yes	characteristic
67	C₁₁×C₂²⋊C₈	D₄	1	1	yes	characteristic
68	C₁₁×#97	—	2	2	no	—
69	C₁₁×#97	—	2	1	no	—
70	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
71	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
72	C₄×C₈×C₁₁	C₂³	1	2	yes	—
73	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
74	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
75	C₄×C₈×C₁₁	C₂³	1	2	yes	—
76	#18054	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
77	C₂⁴×C₁₁	—	2	2	no	—
78	C₂×D₄×C₁₁	—	2	4	no	—
79	C₂×D₄×C₁₁	—	2	2	no	—
80	C₂×D₄×C₁₁	—	4	2	no	—
81	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
82	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
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	—	2	2	no	—
88	C₂²×C₄×C₁₁	—	8	4	no	—
89	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
91	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
92	C₁₁×D₈	—	2	2	no	—
93	C₁₁×D₈	—	2	4	no	—
94	C₁₁×D₈	M₁₆	1	4	yes	complemented
95	C₁₁×M₁₆	—	2	4	no	—
96	C₁₁×M₁₆	—	8	4	no	—
97	C₂×C₈×C₁₁	—	2	2	no	—
98	C₂×C₈×C₁₁	—	2	4	no	—
99	C₂×C₈×C₁₁	—	2	2	no	—
100	C₂×C₈×C₁₁	—	4	1	no	—
101	C₂×C₈×C₁₁	—	8	4	no	—
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	C₂²×C₄	1	1	yes	characteristic
106	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
107	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
108	C₁₁×C₄⋊C₄	—	2	2	no	—
109	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
110	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
111	C₁₁×C₂²⋊C₄	—	2	2	no	—
112	C₁₁×C₂²⋊C₄	—	2	2	no	—
113	C₁₁×C₂²⋊C₄	—	2	2	no	—
114	C₁₁×C₂²⋊C₄	—	2	2	no	—
115	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
116	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₁₁	#41	1	1	yes	characteristic
118	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
119	#2974	C₂×C₁₁	1	2	yes	complemented
120	C₂×C₄×D₈	C₂×C₁₁	1	1	yes	characteristic
121	#1589	C₂×C₁₁	1	2	yes	complemented
122	#1586	C₂×C₁₁	1	4	yes	complemented
123	C₈×D₈	C₂×C₁₁	1	2	yes	complemented
124	#1568	C₂×C₁₁	1	1	yes	characteristic, complemented
125	#1490	C₂×C₁₁	1	2	yes	complemented
126	C₈×M₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
127	C₂³×C₁₁	—	2	2	no	—
128	C₂³×C₁₁	—	2	2	no	—
129	C₂³×C₁₁	—	4	4	no	—
130	C₂³×C₁₁	—	4	4	no	—
131	C₂³×C₁₁	—	8	2	no	—
132	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
133	D₄×C₁₁	—	2	2	no	—
134	D₄×C₁₁	—	2	2	no	—
135	D₄×C₁₁	—	2	2	no	—
136	D₄×C₁₁	—	4	4	no	—
137	D₄×C₁₁	C₂×M₁₆	1	4	yes	—
138	C₂×C₄×C₁₁	—	2	2	no	—
139	C₂×C₄×C₁₁	—	2	1	no	—
140	C₂×C₄×C₁₁	—	2	1	no	—
141	C₂×C₄×C₁₁	—	2	2	no	—
142	C₂×C₄×C₁₁	—	2	2	no	—
143	C₂×C₄×C₁₁	—	2	2	no	—
144	C₂×C₄×C₁₁	—	4	4	no	—
145	C₂×C₄×C₁₁	—	4	4	no	—
146	C₂×C₄×C₁₁	—	8	2	no	—
147	C₂×C₄×C₁₁	—	8	2	no	—
148	C₂×C₄×C₁₁	—	8	2	no	—
149	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
150	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
151	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
153	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
155	C₈×C₁₁	—	2	4	no	—
156	C₈×C₁₁	—	2	1	no	—
157	C₈×C₁₁	—	2	1	no	—
158	C₈×C₁₁	—	2	1	no	—
159	C₈×C₁₁	—	2	2	no	—
160	C₈×C₁₁	—	2	2	no	—
161	C₈×C₁₁	—	4	4	no	—
162	C₈×C₁₁	C₂×M₁₆	1	2	yes	—
163	C₂²×D₈	C₄×C₁₁	1	1	yes	characteristic
164	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
165	C₄×D₈	C₄×C₁₁	1	2	yes	—
166	C₄×D₈	C₄×C₁₁	1	1	yes	characteristic
167	C₄×D₈	C₄×C₁₁	1	1	yes	characteristic
168	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
169	C₄×D₈	C₂²×C₁₁	1	2	yes	—
170	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
171	#436	C₂²×C₁₁	1	4	yes	complemented
172	#435	—	2	4	no	—
173	C₈×D₄	C₂²×C₁₁	1	4	yes	complemented
174	#432	C₂²×C₁₁	1	2	yes	—
175	#431	C₂²×C₁₁	1	1	yes	characteristic
176	C₂×#107	C₄×C₁₁	1	1	yes	characteristic
177	C₂×#102	C₄×C₁₁	1	2	yes	—
178	#407	—	2	2	no	—
179	C₂×C₂²⋊C₈	—	2	2	no	—
180	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
181	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
182	#335	C₂²×C₁₁	1	2	yes	complemented
183	#334	C₂²×C₁₁	1	2	yes	complemented
184	D₄⋊C₈	C₂²×C₁₁	1	4	yes	complemented
185	D₄⋊C₈	C₂²×C₁₁	1	4	yes	complemented
186	#322	C₂²×C₁₁	1	2	yes	complemented
187	C₈²	C₂²×C₁₁	1	2	yes	complemented
188	C₂²×C₁₁	—	2	1	no	—
189	C₂²×C₁₁	—	2	1	no	—
190	C₂²×C₁₁	—	2	4	no	—
191	C₂²×C₁₁	—	4	2	no	—
192	C₂²×C₁₁	—	4	2	no	—
193	C₂²×C₁₁	—	4	2	no	—
194	C₂²×C₁₁	—	4	2	no	—
195	C₂²×C₁₁	—	4	2	no	—
196	C₂²×C₁₁	—	8	8	no	—
197	C₂²×C₁₁	#443	1	2	yes	—
198	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
199	C₄×C₁₁	—	2	1	no	—
200	C₄×C₁₁	—	2	1	no	—
201	C₄×C₁₁	—	2	1	no	—
202	C₄×C₁₁	—	2	1	no	—
203	C₄×C₁₁	—	4	2	no	—
204	C₄×C₁₁	—	4	2	no	—
205	C₄×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
206	C₄×C₁₁	#568	1	1	yes	characteristic
207	C₄×C₁₁	#576	1	2	yes	—
208	C₂²×D₄	C₂×C₄×C₁₁	1	2	yes	—
209	C₂³×C₄	—	2	2	no	—
210	C₂×D₈	—	2	4	no	—
211	C₂×D₈	C₂×C₄×C₁₁	1	2	yes	—
212	C₂×D₈	C₂×C₄×C₁₁	1	1	yes	characteristic
213	C₂×D₈	C₂×C₄×C₁₁	1	1	yes	characteristic
214	C₂×M₁₆	—	2	1	no	—
215	C₂×M₁₆	—	2	4	no	—
216	C₂²×C₈	—	2	4	no	—
217	C₂²×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
218	C₂²×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
219	C₄×D₄	—	2	2	no	—
220	C₄×D₄	—	2	2	no	—
221	C₄×D₄	C₂×C₄×C₁₁	1	2	yes	—
222	C₄×D₄	C₂×C₄×C₁₁	1	2	yes	—
223	C₄×D₄	C₂³×C₁₁	1	2	yes	—
224	C₄×D₄	C₂³×C₁₁	1	2	yes	—
225	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
226	C₂×C₂²⋊C₄	—	2	2	no	—
227	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
228	#107	C₂×C₄×C₁₁	1	2	yes	—
229	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
230	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
231	C₄⋊C₈	D₄×C₁₁	1	2	yes	—
232	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
233	#102	C₂×C₄×C₁₁	1	2	yes	—
234	#102	C₂×C₄×C₁₁	1	2	yes	—
235	#102	C₂×C₄×C₁₁	1	2	yes	—
236	#102	C₂×C₄×C₁₁	1	2	yes	—
237	C₂²⋊C₈	—	2	2	no	—
238	C₂²⋊C₈	—	2	4	no	—
239	C₂²⋊C₈	—	2	4	no	—
240	C₂²⋊C₈	D₄×C₁₁	1	1	yes	characteristic
241	C₂²⋊C₈	D₄×C₁₁	1	1	yes	characteristic
242	#97	—	2	2	no	—
243	#97	—	2	1	no	—
244	C₄×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
245	C₄×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
246	C₄×C₈	C₂³×C₁₁	1	2	yes	—
247	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
248	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
249	C₄×C₈	C₂³×C₁₁	1	2	yes	—
250	C₂×C₁₁	—	2	2	no	—
251	C₂×C₁₁	—	4	4	no	—
252	C₂×C₁₁	—	8	2	no	—
253	C₂×C₁₁	D₄×M₁₆	1	1	yes	characteristic
254	C₂×C₁₁	#2948	1	1	yes	characteristic
255	C₂×C₁₁	C₂×#443	1	1	yes	characteristic
256	C₂⁴	—	2	2	no	—
257	C₂×D₄	—	2	4	no	—
258	C₂×D₄	—	2	2	no	—
259	C₂×D₄	—	4	2	no	—
260	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
261	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
262	C₂²×C₄	—	2	2	no	—
263	C₂²×C₄	—	2	2	no	—
264	C₂²×C₄	—	2	2	no	—
265	C₂²×C₄	—	2	2	no	—
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	—	8	4	no	—
268	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
269	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
270	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
271	D₈	—	2	4	no	—
272	D₈	—	2	2	no	—
273	D₈	C₁₁×M₁₆	1	4	yes	complemented
274	M₁₆	—	2	4	no	—
275	M₁₆	—	8	4	no	—
276	C₂×C₈	—	2	2	no	—
277	C₂×C₈	—	2	2	no	—
278	C₂×C₈	—	2	4	no	—
279	C₂×C₈	—	4	1	no	—
280	C₂×C₈	—	8	4	no	—
281	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
282	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
283	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
284	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
285	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
286	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
287	C₄⋊C₄	—	2	2	no	—
288	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
289	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
290	C₂²⋊C₄	—	2	2	no	—
291	C₂²⋊C₄	—	2	2	no	—
292	C₂²⋊C₄	—	2	2	no	—
293	C₂²⋊C₄	—	2	2	no	—
294	C₄²	C₂²×C₄×C₁₁	1	1	yes	characteristic
295	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
296	C₄²	C₁₁×#41	1	1	yes	characteristic
297	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
298	C₁₁	#18054	1	1	yes	characteristic, direct product factor, Sylow
299	C₂³	—	2	2	no	—
300	C₂³	—	2	2	no	—
301	C₂³	—	4	4	no	—
302	C₂³	—	4	4	no	—
303	C₂³	—	8	2	no	—
304	C₂³	C₄×D₄×C₁₁	1	1	yes	characteristic
305	D₄	—	2	2	no	—
306	D₄	—	2	2	no	—
307	D₄	—	2	2	no	—
308	D₄	—	4	4	no	—
309	D₄	C₂×C₁₁×M₁₆	1	4	yes	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	4	4	no	—
317	C₂×C₄	—	4	4	no	—
318	C₂×C₄	—	8	2	no	—
319	C₂×C₄	—	8	2	no	—
320	C₂×C₄	—	8	2	no	—
321	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
322	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
323	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
324	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
325	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
326	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
327	C₈	—	2	4	no	—
328	C₈	—	2	1	no	—
329	C₈	—	2	1	no	—
330	C₈	—	2	1	no	—
331	C₈	—	2	2	no	—
332	C₈	—	2	2	no	—
333	C₈	—	4	4	no	—
334	C₈	C₂×C₁₁×M₁₆	1	2	yes	—
335	C₂²	—	2	1	no	—
336	C₂²	—	2	1	no	—
337	C₂²	—	2	4	no	—
338	C₂²	—	4	2	no	—
339	C₂²	—	4	2	no	—
340	C₂²	—	4	2	no	—
341	C₂²	—	4	2	no	—
342	C₂²	—	4	2	no	—
343	C₂²	—	8	8	no	—
344	C₂²	C₁₁×#443	1	2	yes	—
345	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
346	C₄	—	2	1	no	—
347	C₄	—	2	1	no	—
348	C₄	—	2	1	no	—
349	C₄	—	2	1	no	—
350	C₄	—	4	2	no	—
351	C₄	—	4	2	no	—
352	C₄	C₂²×C₁₁×M₁₆	1	1	yes	characteristic
353	C₄	C₁₁×#568	1	1	yes	characteristic
354	C₄	C₁₁×#576	1	2	yes	—
355	C₂	—	2	2	no	—
356	C₂	—	4	4	no	—
357	C₂	—	8	2	no	—
358	C₂	D₄×C₁₁×M₁₆	1	1	yes	characteristic
359	C₂	C₁₁×#2948	1	1	yes	characteristic
360	C₂	C₂×C₁₁×#443	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×#1589	C₂	semidirect
4. C₁₁×#1586	C₂	semidirect
5. C₈×C₁₁×D₈	C₂	semidirect
6. C₁₁×#1568	C₂	semidirect
7. C₁₁×#1490	C₂	semidirect
8. C₈×C₁₁×M₁₆	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. C₈²×C₁₁	C₂²	semidirect
76. #18054	C₁₁	direct (N × H)
94. C₁₁×D₈	M₁₆	semidirect
119. #2974	C₂×C₁₁	semidirect
121. #1589	C₂×C₁₁	semidirect
122. #1586	C₂×C₁₁	semidirect
123. C₈×D₈	C₂×C₁₁	semidirect
124. #1568	C₂×C₁₁	semidirect
125. #1490	C₂×C₁₁	semidirect
126. C₈×M₁₆	C₂×C₁₁	semidirect
171. #436	C₂²×C₁₁	semidirect
173. C₈×D₄	C₂²×C₁₁	semidirect
182. #335	C₂²×C₁₁	semidirect
183. #334	C₂²×C₁₁	semidirect
184. D₄⋊C₈	C₂²×C₁₁	semidirect
185. D₄⋊C₈	C₂²×C₁₁	semidirect
186. #322	C₂²×C₁₁	semidirect
187. C₈²	C₂²×C₁₁	semidirect
273. D₈	C₁₁×M₁₆	semidirect
298. C₁₁	#18054	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×#1589	2
C₁₁×#1586	2
C₈×C₁₁×D₈	2
C₁₁×#1568	2
C₁₁×#1490	2
C₈×C₁₁×M₁₆	2
#18054	11

Subgroups — C11×#18054 #14595247

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#18054 #14595247