Subgroups — C₁₁×#21922 #14599115

Order 2816.

798 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×C₁₁×#117	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#1923	C₂	1	4	yes	maximal
3	C₁₁×#1916	C₂	1	4	yes	maximal, complemented
4	C₁₁×#1842	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#1831	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#1797	C₂	1	2	yes	maximal
7	C₄×C₁₁×C₄⋊C₈	C₂	1	2	yes	maximal, complemented
8	C₂×C₁₁×#117	C₄	1	1	yes	characteristic
9	C₂×C₁₁×#117	C₄	1	1	yes	characteristic
10	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
11	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	—
12	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	—
13	C₂×C₁₁×C₄⋊C₈	C₂²	1	4	yes	—
14	C₂×C₁₁×C₂²⋊C₈	C₂²	1	4	yes	—
15	C₂×C₄×C₈×C₁₁	C₂²	1	4	yes	—
16	C₄×C₁₁×C₄⋊C₄	C₄	1	2	yes	—
17	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
18	C₄×C₁₁×C₂²⋊C₄	C₄	1	2	yes	—
19	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
20	C₁₁×#376	C₄	1	1	yes	characteristic
21	C₁₁×#376	C₄	1	1	yes	characteristic
22	C₄³×C₁₁	C₂²	1	1	yes	characteristic
23	C₄³×C₁₁	C₂²	1	1	yes	characteristic
24	C₁₁×#336	C₂²	1	4	yes	—
25	C₁₁×#336	C₂²	1	4	yes	—
26	C₁₁×#336	C₂²	1	4	yes	—
27	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
28	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
29	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
30	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
31	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
32	C₁₁×#117	—	2	4	no	—
33	C₁₁×#117	C₈	1	8	yes	complemented
34	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
35	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
36	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	2	yes	—
37	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	2	yes	—
38	C₂×C₄²×C₁₁	—	2	2	no	—
39	C₂×C₄²×C₁₁	—	2	2	no	—
40	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
41	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
42	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄²×C₁₁	C₂×C₄	1	2	yes	—
44	C₂×C₄²×C₁₁	C₂×C₄	1	2	yes	—
45	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
46	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
47	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
48	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
49	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
50	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
51	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
52	C₁₁×C₄⋊C₈	—	2	4	no	—
53	C₁₁×C₄⋊C₈	—	2	4	no	—
54	C₁₁×C₄⋊C₈	—	4	4	no	—
55	C₁₁×C₂²⋊C₈	—	4	4	no	—
56	C₄×C₈×C₁₁	—	4	4	no	—
57	C₁₁×#95	C₂×C₄	1	2	yes	—
58	C₁₁×#95	C₂×C₄	1	2	yes	—
59	C₁₁×#95	C₂×C₄	1	2	yes	—
60	C₁₁×#95	C₂×C₄	1	2	yes	—
61	#21922	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
62	C₂⁴×C₁₁	C₂²×C₄	1	1	yes	characteristic
63	C₂²×C₄×C₁₁	—	2	2	no	—
64	C₂²×C₄×C₁₁	—	2	2	no	—
65	C₂²×C₄×C₁₁	—	2	2	no	—
66	C₂²×C₄×C₁₁	—	2	1	no	—
67	C₂²×C₄×C₁₁	—	2	1	no	—
68	C₂²×C₄×C₁₁	—	2	2	no	—
69	C₂²×C₄×C₁₁	—	2	2	no	—
70	C₂²×C₄×C₁₁	—	4	2	no	—
71	C₂²×C₄×C₁₁	C₂×C₈	1	4	yes	—
72	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
73	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
75	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
76	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
77	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
78	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
79	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
80	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
82	C₂×C₈×C₁₁	—	2	4	no	—
83	C₂×C₈×C₁₁	—	2	4	no	—
84	C₂×C₈×C₁₁	—	2	4	no	—
85	C₂×C₈×C₁₁	—	2	4	no	—
86	C₂×C₈×C₁₁	—	2	4	no	—
87	C₂×C₈×C₁₁	—	2	4	no	—
88	C₁₁×C₄⋊C₄	—	2	4	no	—
89	C₁₁×C₄⋊C₄	C₂×C₈	1	8	yes	—
90	C₁₁×C₂²⋊C₄	—	2	4	no	—
91	C₁₁×C₂²⋊C₄	C₂×C₈	1	8	yes	—
92	C₄²×C₁₁	—	2	2	no	—
93	C₄²×C₁₁	—	2	2	no	—
94	C₄²×C₁₁	—	2	2	no	—
95	C₄²×C₁₁	—	2	1	no	—
96	C₄²×C₁₁	—	2	1	no	—
97	C₄²×C₁₁	—	2	2	no	—
98	C₄²×C₁₁	—	2	2	no	—
99	C₄²×C₁₁	—	2	2	no	—
100	C₄²×C₁₁	—	2	2	no	—
101	C₄²×C₁₁	—	4	2	no	—
102	C₄²×C₁₁	—	4	2	no	—
103	C₄²×C₁₁	C₂×C₈	1	4	yes	—
104	C₄²×C₁₁	C₂×C₈	1	4	yes	—
105	C₄²×C₁₁	M₁₆	1	4	yes	—
106	C₄²×C₁₁	#41	1	2	yes	—
107	C₄²×C₁₁	#41	1	2	yes	—
108	C₄×#117	C₂×C₁₁	1	1	yes	characteristic
109	#1923	C₂×C₁₁	1	4	yes	—
110	#1916	C₂×C₁₁	1	4	yes	complemented
111	#1842	C₂×C₁₁	1	1	yes	characteristic, complemented
112	#1831	C₂×C₁₁	1	1	yes	characteristic, complemented
113	#1797	C₂×C₁₁	1	2	yes	—
114	C₄×C₄⋊C₈	C₂×C₁₁	1	2	yes	complemented
115	C₂³×C₁₁	—	2	1	no	—
116	C₂³×C₁₁	—	2	2	no	—
117	C₂³×C₁₁	—	2	1	no	—
118	C₂³×C₁₁	—	2	2	no	—
119	C₂³×C₁₁	C₂²×C₈	1	2	yes	—
120	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
121	C₂×C₄×C₁₁	—	2	1	no	—
122	C₂×C₄×C₁₁	—	2	2	no	—
123	C₂×C₄×C₁₁	—	2	2	no	—
124	C₂×C₄×C₁₁	—	2	2	no	—
125	C₂×C₄×C₁₁	—	2	1	no	—
126	C₂×C₄×C₁₁	—	2	2	no	—
127	C₂×C₄×C₁₁	—	2	2	no	—
128	C₂×C₄×C₁₁	—	2	2	no	—
129	C₂×C₄×C₁₁	—	2	2	no	—
130	C₂×C₄×C₁₁	—	2	8	no	—
131	C₂×C₄×C₁₁	—	2	1	no	—
132	C₂×C₄×C₁₁	—	2	1	no	—
133	C₂×C₄×C₁₁	—	2	2	no	—
134	C₂×C₄×C₁₁	—	2	2	no	—
135	C₂×C₄×C₁₁	—	2	2	no	—
136	C₂×C₄×C₁₁	—	2	2	no	—
137	C₂×C₄×C₁₁	—	2	2	no	—
138	C₂×C₄×C₁₁	—	4	4	no	—
139	C₂×C₄×C₁₁	—	4	1	no	—
140	C₂×C₄×C₁₁	—	4	1	no	—
141	C₂×C₄×C₁₁	—	4	2	no	—
142	C₂×C₄×C₁₁	#117	1	2	yes	—
143	C₂×C₄×C₁₁	#117	1	2	yes	—
144	C₂×C₄×C₁₁	C₂²×C₈	1	4	yes	—
145	C₂×C₄×C₁₁	C₂²×C₈	1	4	yes	—
146	C₂×C₄×C₁₁	C₂²×C₈	1	2	yes	—
147	C₂×C₄×C₁₁	C₂²×C₈	1	2	yes	—
148	C₂×C₄×C₁₁	C₂×M₁₆	1	4	yes	—
149	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
150	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
151	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
152	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
153	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
154	C₈×C₁₁	—	4	4	no	—
155	C₈×C₁₁	—	4	4	no	—
156	C₂×#117	C₄×C₁₁	1	1	yes	characteristic
157	C₂×#117	C₄×C₁₁	1	1	yes	characteristic
158	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
159	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
160	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
161	C₂×C₄⋊C₈	C₂²×C₁₁	1	4	yes	—
162	C₂×C₂²⋊C₈	C₂²×C₁₁	1	4	yes	—
163	C₂×C₄×C₈	C₂²×C₁₁	1	4	yes	—
164	C₄×C₄⋊C₄	C₄×C₁₁	1	2	yes	—
165	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
166	C₄×C₂²⋊C₄	C₄×C₁₁	1	2	yes	—
167	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
168	#376	C₄×C₁₁	1	1	yes	characteristic
169	#376	C₄×C₁₁	1	1	yes	characteristic
170	C₄³	C₂²×C₁₁	1	1	yes	characteristic
171	C₄³	C₂²×C₁₁	1	1	yes	characteristic
172	#336	C₂²×C₁₁	1	4	yes	—
173	#336	C₂²×C₁₁	1	4	yes	—
174	#336	C₂²×C₁₁	1	4	yes	—
175	C₂²×C₁₁	—	2	2	no	—
176	C₂²×C₁₁	—	2	4	no	—
177	C₂²×C₁₁	—	4	1	no	—
178	C₂²×C₁₁	—	4	1	no	—
179	C₂²×C₁₁	—	4	2	no	—
180	C₂²×C₁₁	C₂×#117	1	1	yes	characteristic
181	C₂²×C₁₁	#520	1	2	yes	—
182	C₂²×C₁₁	C₂³×C₈	1	1	yes	characteristic
183	C₂²×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
184	C₂²×C₁₁	#568	1	2	yes	—
185	C₄×C₁₁	—	2	2	no	—
186	C₄×C₁₁	—	2	2	no	—
187	C₄×C₁₁	—	2	4	no	—
188	C₄×C₁₁	—	2	4	no	—
189	C₄×C₁₁	—	2	4	no	—
190	C₄×C₁₁	—	4	1	no	—
191	C₄×C₁₁	—	4	1	no	—
192	C₄×C₁₁	—	4	2	no	—
193	C₄×C₁₁	#431	1	4	yes	—
194	C₄×C₁₁	#540	1	1	yes	characteristic
195	C₄×C₁₁	#541	1	1	yes	characteristic
196	C₄×C₁₁	#542	1	2	yes	—
197	C₂³×C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
198	C₂³×C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
199	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
200	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
201	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
202	#117	—	2	4	no	—
203	#117	C₈×C₁₁	1	8	yes	complemented
204	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
205	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
206	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
207	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
208	C₂×C₄²	—	2	2	no	—
209	C₂×C₄²	—	2	2	no	—
210	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
211	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
212	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
213	C₂×C₄²	C₂×C₄×C₁₁	1	2	yes	—
214	C₂×C₄²	C₂×C₄×C₁₁	1	2	yes	—
215	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
216	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
217	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
218	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
219	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
220	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
221	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
222	C₄⋊C₈	—	2	4	no	—
223	C₄⋊C₈	—	2	4	no	—
224	C₄⋊C₈	—	4	4	no	—
225	C₂²⋊C₈	—	4	4	no	—
226	C₄×C₈	—	4	4	no	—
227	#95	C₂×C₄×C₁₁	1	2	yes	—
228	#95	C₂×C₄×C₁₁	1	2	yes	—
229	#95	C₂×C₄×C₁₁	1	2	yes	—
230	#95	C₂×C₄×C₁₁	1	2	yes	—
231	C₂×C₁₁	—	4	2	no	—
232	C₂×C₁₁	#2314	1	1	yes	characteristic
233	C₂×C₁₁	C₂×#431	1	1	yes	characteristic
234	C₂×C₁₁	#2921	1	1	yes	characteristic
235	C₂×C₁₁	#2988	1	2	yes	—
236	C₂×C₁₁	#2989	1	2	yes	—
237	C₂⁴	C₂²×C₄×C₁₁	1	1	yes	characteristic
238	C₂²×C₄	—	2	2	no	—
239	C₂²×C₄	—	2	2	no	—
240	C₂²×C₄	—	2	2	no	—
241	C₂²×C₄	—	2	1	no	—
242	C₂²×C₄	—	2	1	no	—
243	C₂²×C₄	—	2	2	no	—
244	C₂²×C₄	—	2	2	no	—
245	C₂²×C₄	—	4	2	no	—
246	C₂²×C₄	C₂×C₈×C₁₁	1	4	yes	—
247	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
248	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
249	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
250	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
251	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
252	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
253	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
254	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
255	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
256	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
257	C₂×C₈	—	2	4	no	—
258	C₂×C₈	—	2	4	no	—
259	C₂×C₈	—	2	4	no	—
260	C₂×C₈	—	2	4	no	—
261	C₂×C₈	—	2	4	no	—
262	C₂×C₈	—	2	4	no	—
263	C₄⋊C₄	—	2	4	no	—
264	C₄⋊C₄	C₂×C₈×C₁₁	1	8	yes	—
265	C₂²⋊C₄	—	2	4	no	—
266	C₂²⋊C₄	C₂×C₈×C₁₁	1	8	yes	—
267	C₄²	—	2	2	no	—
268	C₄²	—	2	2	no	—
269	C₄²	—	2	2	no	—
270	C₄²	—	2	1	no	—
271	C₄²	—	2	1	no	—
272	C₄²	—	2	2	no	—
273	C₄²	—	2	2	no	—
274	C₄²	—	2	2	no	—
275	C₄²	—	2	2	no	—
276	C₄²	—	4	2	no	—
277	C₄²	—	4	2	no	—
278	C₄²	C₂×C₈×C₁₁	1	4	yes	—
279	C₄²	C₂×C₈×C₁₁	1	4	yes	—
280	C₄²	C₁₁×M₁₆	1	4	yes	—
281	C₄²	C₁₁×#41	1	2	yes	—
282	C₄²	C₁₁×#41	1	2	yes	—
283	C₁₁	#21922	1	1	yes	characteristic, direct product factor, Sylow
284	C₂³	—	2	1	no	—
285	C₂³	—	2	2	no	—
286	C₂³	—	2	1	no	—
287	C₂³	—	2	2	no	—
288	C₂³	C₂²×C₈×C₁₁	1	2	yes	—
289	C₂³	C₂³×C₄×C₁₁	1	1	yes	characteristic
290	C₂×C₄	—	2	1	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	2	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	2	8	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	1	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	4	4	no	—
308	C₂×C₄	—	4	1	no	—
309	C₂×C₄	—	4	1	no	—
310	C₂×C₄	—	4	2	no	—
311	C₂×C₄	C₁₁×#117	1	2	yes	—
312	C₂×C₄	C₁₁×#117	1	2	yes	—
313	C₂×C₄	C₂²×C₈×C₁₁	1	4	yes	—
314	C₂×C₄	C₂²×C₈×C₁₁	1	4	yes	—
315	C₂×C₄	C₂²×C₈×C₁₁	1	2	yes	—
316	C₂×C₄	C₂²×C₈×C₁₁	1	2	yes	—
317	C₂×C₄	C₂×C₁₁×M₁₆	1	4	yes	—
318	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
319	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
320	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
321	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
322	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
323	C₈	—	4	4	no	—
324	C₈	—	4	4	no	—
325	C₂²	—	2	2	no	—
326	C₂²	—	2	4	no	—
327	C₂²	—	4	1	no	—
328	C₂²	—	4	2	no	—
329	C₂²	—	4	1	no	—
330	C₂²	C₂×C₁₁×#117	1	1	yes	characteristic
331	C₂²	C₁₁×#520	1	2	yes	—
332	C₂²	C₂³×C₈×C₁₁	1	1	yes	characteristic
333	C₂²	C₂²×C₁₁×M₁₆	1	1	yes	characteristic
334	C₂²	C₁₁×#568	1	2	yes	—
335	C₄	—	2	2	no	—
336	C₄	—	2	2	no	—
337	C₄	—	2	4	no	—
338	C₄	—	2	4	no	—
339	C₄	—	2	4	no	—
340	C₄	—	4	1	no	—
341	C₄	—	4	2	no	—
342	C₄	—	4	1	no	—
343	C₄	C₁₁×#431	1	4	yes	—
344	C₄	C₁₁×#540	1	1	yes	characteristic
345	C₄	C₁₁×#541	1	1	yes	characteristic
346	C₄	C₁₁×#542	1	2	yes	—
347	C₂	—	4	2	no	—
348	C₂	C₁₁×#2314	1	1	yes	characteristic
349	C₂	C₂×C₁₁×#431	1	1	yes	characteristic
350	C₂	C₁₁×#2921	1	1	yes	characteristic
351	C₂	C₁₁×#2988	1	2	yes	—
352	C₂	C₁₁×#2989	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄×C₁₁	C₂⁴
commutator	C₂²	C₂³×C₈×C₁₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₁
socle	C₂³×C₁₁	C₂³×C₄
prime radical	C₂⁴×C₁₁	C₂²×C₄
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₁₁×#1916	C₂	semidirect
4. C₁₁×#1842	C₂	semidirect
5. C₁₁×#1831	C₂	semidirect
7. C₄×C₁₁×C₄⋊C₈	C₂	semidirect
33. C₁₁×#117	C₈	semidirect
61. #21922	C₁₁	direct (N × H)
110. #1916	C₂×C₁₁	semidirect
111. #1842	C₂×C₁₁	semidirect
112. #1831	C₂×C₁₁	semidirect
114. C₄×C₄⋊C₈	C₂×C₁₁	semidirect
203. #117	C₈×C₁₁	semidirect
283. C₁₁	#21922	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄×C₁₁×#117	2
C₁₁×#1923	2
C₁₁×#1916	2
C₁₁×#1842	2
C₁₁×#1831	2
C₁₁×#1797	2
C₄×C₁₁×C₄⋊C₈	2
#21922	11

Subgroups — C11×#21922 #14599115

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#21922 #14599115