Subgroups — C₁₁×#21972 #14599165

Order 2816.

946 conjugacy classes of subgroups.

The subgroup lattice has 328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#431	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₁₁×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
3	C₄×C₁₁×#117	C₂	1	1	yes	maximal, characteristic
4	C₁₁×#1939	C₂	1	4	yes	maximal, complemented
5	C₁₁×#1850	C₂	1	4	yes	maximal
6	C₁₁×#1842	C₂	1	2	yes	maximal, complemented
7	C₁₁×#1831	C₂	1	2	yes	maximal, complemented
8	C₂³×C₈×C₁₁	C₂²	1	2	yes	—
9	C₂×C₁₁×#117	C₄	1	1	yes	characteristic
10	C₂×C₁₁×#117	C₄	1	1	yes	characteristic
11	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
12	C₁₁×#431	—	2	4	no	—
13	C₂×C₁₁×C₄⋊C₈	—	2	4	no	—
14	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	—
15	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	—
16	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
17	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
18	C₂×C₁₁×C₄⋊C₈	C₂²	1	8	yes	—
19	C₂×C₁₁×C₂²⋊C₈	C₂²	1	2	yes	—
20	C₂×C₄×C₈×C₁₁	C₂²	1	2	yes	—
21	C₄×C₁₁×C₄⋊C₄	C₄	1	2	yes	—
22	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
23	C₄×C₁₁×C₂²⋊C₄	C₄	1	2	yes	—
24	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
25	C₁₁×#376	C₄	1	2	yes	—
26	C₄³×C₁₁	C₂²	1	2	yes	—
27	C₁₁×#336	C₂²	1	8	yes	—
28	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
29	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
30	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
31	C₂²×C₈×C₁₁	—	2	4	no	—
32	C₂²×C₈×C₁₁	—	4	4	no	—
33	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
34	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
35	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
36	C₁₁×#117	—	2	4	no	—
37	C₁₁×#117	C₈	1	8	yes	complemented
38	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
39	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
40	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	2	yes	—
41	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	2	yes	—
42	C₂×C₄²×C₁₁	C₂×C₄	1	2	yes	—
43	C₂×C₄²×C₁₁	C₂×C₄	1	4	yes	—
44	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
45	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
46	C₂×C₄²×C₁₁	C₂×C₄	1	2	yes	—
47	C₂×C₄²×C₁₁	D₄	1	4	yes	—
48	C₂×C₄²×C₁₁	Q₈	1	4	yes	—
49	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
50	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
55	C₁₁×C₄⋊C₈	—	2	2	no	—
56	C₁₁×C₄⋊C₈	—	4	8	no	—
57	C₁₁×C₂²⋊C₈	—	2	4	no	—
58	C₄×C₈×C₁₁	—	2	4	no	—
59	C₁₁×#95	C₂×C₄	1	4	yes	—
60	C₁₁×#95	C₂×C₄	1	4	yes	—
61	#21972	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	—	4	2	no	—
66	C₂²×C₄×C₁₁	C₄⋊C₄	1	4	yes	—
67	C₂²×C₄×C₁₁	C₄⋊C₄	1	4	yes	—
68	C₂²×C₄×C₁₁	C₂×C₈	1	4	yes	—
69	C₂²×C₄×C₁₁	M₁₆	1	4	yes	—
70	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
71	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
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	4	yes	—
75	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
76	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
77	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
78	C₂²×C₄×C₁₁	C₂×Q₈	1	2	yes	—
79	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
80	C₂×C₈×C₁₁	—	2	2	no	—
81	C₂×C₈×C₁₁	—	2	2	no	—
82	C₂×C₈×C₁₁	—	2	4	no	—
83	C₂×C₈×C₁₁	—	2	4	no	—
84	C₂×C₈×C₁₁	—	2	8	no	—
85	C₂×C₈×C₁₁	—	2	4	no	—
86	C₂×C₈×C₁₁	—	4	8	no	—
87	C₁₁×C₄⋊C₄	—	2	4	no	—
88	C₁₁×C₄⋊C₄	C₂×C₈	1	8	yes	complemented
89	C₁₁×C₂²⋊C₄	—	2	4	no	—
90	C₁₁×C₂²⋊C₄	C₂×C₈	1	8	yes	—
91	C₄²×C₁₁	—	2	4	no	—
92	C₄²×C₁₁	—	2	4	no	—
93	C₄²×C₁₁	—	2	4	no	—
94	C₄²×C₁₁	—	4	4	no	—
95	C₄²×C₁₁	C₄⋊C₄	1	4	yes	—
96	C₄²×C₁₁	C₄⋊C₄	1	4	yes	—
97	C₄²×C₁₁	C₂×C₈	1	8	yes	complemented
98	C₄²×C₁₁	C₂×D₄	1	2	yes	—
99	C₄²×C₁₁	C₂×D₄	1	2	yes	—
100	C₄²×C₁₁	C₂×Q₈	1	2	yes	—
101	C₄²×C₁₁	C₂×Q₈	1	2	yes	—
102	C₂×#431	C₂×C₁₁	1	1	yes	characteristic
103	C₂²×C₄⋊C₈	C₂×C₁₁	1	1	yes	characteristic
104	C₄×#117	C₂×C₁₁	1	1	yes	characteristic
105	#1939	C₂×C₁₁	1	4	yes	complemented
106	#1850	C₂×C₁₁	1	4	yes	—
107	#1842	C₂×C₁₁	1	2	yes	complemented
108	#1831	C₂×C₁₁	1	2	yes	complemented
109	C₂³×C₁₁	—	2	2	no	—
110	C₂³×C₁₁	—	2	2	no	—
111	C₂³×C₁₁	C₂×C₄⋊C₄	1	2	yes	—
112	C₂³×C₁₁	C₂²×C₈	1	2	yes	—
113	C₂³×C₁₁	C₂×M₁₆	1	2	yes	—
114	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
115	C₂×C₄×C₁₁	—	2	4	no	—
116	C₂×C₄×C₁₁	—	2	2	no	—
117	C₂×C₄×C₁₁	—	2	2	no	—
118	C₂×C₄×C₁₁	—	2	4	no	—
119	C₂×C₄×C₁₁	—	2	2	no	—
120	C₂×C₄×C₁₁	—	2	2	no	—
121	C₂×C₄×C₁₁	—	2	2	no	—
122	C₂×C₄×C₁₁	—	2	4	no	—
123	C₂×C₄×C₁₁	—	2	4	no	—
124	C₂×C₄×C₁₁	—	2	4	no	—
125	C₂×C₄×C₁₁	—	2	4	no	—
126	C₂×C₄×C₁₁	—	4	4	no	—
127	C₂×C₄×C₁₁	C₄⋊C₈	1	16	yes	complemented
128	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	2	yes	—
129	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	2	yes	—
130	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	2	yes	—
131	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	2	yes	—
132	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	2	yes	—
133	C₂×C₄×C₁₁	C₂²×C₈	1	8	yes	—
134	C₂×C₄×C₁₁	C₂²×C₈	1	2	yes	—
135	C₂×C₄×C₁₁	C₂²×C₈	1	2	yes	—
136	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
137	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
138	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
139	C₂×C₄×C₁₁	C₂²×Q₈	1	1	yes	characteristic
140	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
141	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
142	C₈×C₁₁	—	4	2	no	—
143	C₈×C₁₁	—	4	4	no	—
144	C₈×C₁₁	—	4	2	no	—
145	C₂³×C₈	C₂²×C₁₁	1	2	yes	—
146	C₂×#117	C₄×C₁₁	1	1	yes	characteristic
147	C₂×#117	C₄×C₁₁	1	1	yes	characteristic
148	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
149	#431	—	2	4	no	—
150	C₂×C₄⋊C₈	—	2	4	no	—
151	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
152	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
153	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
154	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
155	C₂×C₄⋊C₈	C₂²×C₁₁	1	8	yes	—
156	C₂×C₂²⋊C₈	C₂²×C₁₁	1	2	yes	—
157	C₂×C₄×C₈	C₂²×C₁₁	1	2	yes	—
158	C₄×C₄⋊C₄	C₄×C₁₁	1	2	yes	—
159	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
160	C₄×C₂²⋊C₄	C₄×C₁₁	1	2	yes	—
161	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
162	#376	C₄×C₁₁	1	2	yes	—
163	C₄³	C₂²×C₁₁	1	2	yes	—
164	#336	C₂²×C₁₁	1	8	yes	—
165	C₂²×C₁₁	—	2	2	no	—
166	C₂²×C₁₁	—	2	2	no	—
167	C₂²×C₁₁	—	2	4	no	—
168	C₂²×C₁₁	—	2	4	no	—
169	C₂²×C₁₁	C₂×C₄⋊C₈	1	4	yes	—
170	C₂²×C₁₁	C₂²×C₄⋊C₄	1	1	yes	characteristic
171	C₂²×C₁₁	#520	1	2	yes	—
172	C₂²×C₁₁	C₂³×C₈	1	1	yes	characteristic
173	C₂²×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
174	C₂²×C₁₁	#568	1	2	yes	—
175	C₄×C₁₁	—	2	2	no	—
176	C₄×C₁₁	—	2	2	no	—
177	C₄×C₁₁	—	2	2	no	—
178	C₄×C₁₁	—	2	8	no	—
179	C₄×C₁₁	—	4	4	no	—
180	C₄×C₁₁	C₂×C₄⋊C₈	1	4	yes	—
181	C₄×C₁₁	C₂×C₄⋊C₈	1	4	yes	—
182	C₄×C₁₁	#535	1	1	yes	characteristic
183	C₄×C₁₁	#536	1	1	yes	characteristic
184	C₄×C₁₁	#544	1	2	yes	—
185	C₂³×C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
186	C₂³×C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
187	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
188	C₂²×C₈	—	2	4	no	—
189	C₂²×C₈	—	4	4	no	—
190	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
191	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
192	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
193	#117	—	2	4	no	—
194	#117	C₈×C₁₁	1	8	yes	complemented
195	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
196	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
197	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
198	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
199	C₂×C₄²	C₂×C₄×C₁₁	1	2	yes	—
200	C₂×C₄²	C₂×C₄×C₁₁	1	4	yes	—
201	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
202	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
203	C₂×C₄²	C₂×C₄×C₁₁	1	2	yes	—
204	C₂×C₄²	D₄×C₁₁	1	4	yes	—
205	C₂×C₄²	Q₈×C₁₁	1	4	yes	—
206	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
207	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
208	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
209	C₄⋊C₈	—	2	4	no	—
210	C₄⋊C₈	—	2	4	no	—
211	C₄⋊C₈	—	2	2	no	—
212	C₄⋊C₈	—	2	2	no	—
213	C₄⋊C₈	—	4	8	no	—
214	C₂²⋊C₈	—	2	4	no	—
215	C₄×C₈	—	2	4	no	—
216	#95	C₂×C₄×C₁₁	1	4	yes	—
217	#95	C₂×C₄×C₁₁	1	4	yes	—
218	C₂×C₁₁	—	2	4	no	—
219	C₂×C₁₁	#2317	1	1	yes	characteristic
220	C₂×C₁₁	C₂²×C₄⋊C₈	1	1	yes	characteristic
221	C₂×C₁₁	#2905	1	1	yes	characteristic
222	C₂×C₁₁	#2988	1	2	yes	—
223	C₂×C₁₁	#2989	1	2	yes	—
224	C₂⁴	C₂²×C₄×C₁₁	1	1	yes	characteristic
225	C₂²×C₄	—	2	2	no	—
226	C₂²×C₄	—	2	2	no	—
227	C₂²×C₄	—	4	2	no	—
228	C₂²×C₄	C₁₁×C₄⋊C₄	1	4	yes	—
229	C₂²×C₄	C₁₁×C₄⋊C₄	1	4	yes	—
230	C₂²×C₄	C₂×C₈×C₁₁	1	4	yes	—
231	C₂²×C₄	C₁₁×M₁₆	1	4	yes	—
232	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
233	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
234	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
235	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
236	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
237	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
238	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
239	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
240	C₂²×C₄	C₂×Q₈×C₁₁	1	2	yes	—
241	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
242	C₂×C₈	—	2	2	no	—
243	C₂×C₈	—	2	2	no	—
244	C₂×C₈	—	2	4	no	—
245	C₂×C₈	—	2	4	no	—
246	C₂×C₈	—	2	8	no	—
247	C₂×C₈	—	2	4	no	—
248	C₂×C₈	—	4	8	no	—
249	C₄⋊C₄	—	2	4	no	—
250	C₄⋊C₄	C₂×C₈×C₁₁	1	8	yes	complemented
251	C₂²⋊C₄	—	2	4	no	—
252	C₂²⋊C₄	C₂×C₈×C₁₁	1	8	yes	—
253	C₄²	—	2	4	no	—
254	C₄²	—	2	4	no	—
255	C₄²	—	2	4	no	—
256	C₄²	—	4	4	no	—
257	C₄²	C₁₁×C₄⋊C₄	1	4	yes	—
258	C₄²	C₁₁×C₄⋊C₄	1	4	yes	—
259	C₄²	C₂×C₈×C₁₁	1	8	yes	complemented
260	C₄²	C₂×D₄×C₁₁	1	2	yes	—
261	C₄²	C₂×D₄×C₁₁	1	2	yes	—
262	C₄²	C₂×Q₈×C₁₁	1	2	yes	—
263	C₄²	C₂×Q₈×C₁₁	1	2	yes	—
264	C₁₁	#21972	1	1	yes	characteristic, direct product factor, Sylow
265	C₂³	—	2	2	no	—
266	C₂³	—	2	2	no	—
267	C₂³	C₂×C₁₁×C₄⋊C₄	1	2	yes	—
268	C₂³	C₂²×C₈×C₁₁	1	2	yes	—
269	C₂³	C₂×C₁₁×M₁₆	1	2	yes	—
270	C₂³	C₂³×C₄×C₁₁	1	1	yes	characteristic
271	C₂×C₄	—	2	4	no	—
272	C₂×C₄	—	2	2	no	—
273	C₂×C₄	—	2	2	no	—
274	C₂×C₄	—	2	4	no	—
275	C₂×C₄	—	2	2	no	—
276	C₂×C₄	—	2	2	no	—
277	C₂×C₄	—	2	2	no	—
278	C₂×C₄	—	2	4	no	—
279	C₂×C₄	—	2	4	no	—
280	C₂×C₄	—	2	4	no	—
281	C₂×C₄	—	2	4	no	—
282	C₂×C₄	—	4	4	no	—
283	C₂×C₄	C₁₁×C₄⋊C₈	1	16	yes	complemented
284	C₂×C₄	C₂×C₁₁×C₄⋊C₄	1	2	yes	—
285	C₂×C₄	C₂×C₁₁×C₄⋊C₄	1	2	yes	—
286	C₂×C₄	C₂×C₁₁×C₄⋊C₄	1	2	yes	—
287	C₂×C₄	C₂×C₁₁×C₄⋊C₄	1	2	yes	—
288	C₂×C₄	C₂×C₁₁×C₄⋊C₄	1	2	yes	—
289	C₂×C₄	C₂²×C₈×C₁₁	1	8	yes	—
290	C₂×C₄	C₂²×C₈×C₁₁	1	2	yes	—
291	C₂×C₄	C₂²×C₈×C₁₁	1	2	yes	—
292	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
293	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
294	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
295	C₂×C₄	C₂²×Q₈×C₁₁	1	1	yes	characteristic
296	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
297	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
298	C₈	—	4	4	no	—
299	C₈	—	4	2	no	—
300	C₈	—	4	2	no	—
301	C₂²	—	2	2	no	—
302	C₂²	—	2	4	no	—
303	C₂²	—	2	4	no	—
304	C₂²	—	2	2	no	—
305	C₂²	C₂×C₁₁×C₄⋊C₈	1	4	yes	—
306	C₂²	C₂²×C₁₁×C₄⋊C₄	1	1	yes	characteristic
307	C₂²	C₁₁×#520	1	2	yes	—
308	C₂²	C₂³×C₈×C₁₁	1	1	yes	characteristic
309	C₂²	C₂²×C₁₁×M₁₆	1	1	yes	characteristic
310	C₂²	C₁₁×#568	1	2	yes	—
311	C₄	—	2	2	no	—
312	C₄	—	2	2	no	—
313	C₄	—	2	8	no	—
314	C₄	—	2	2	no	—
315	C₄	—	4	4	no	—
316	C₄	C₂×C₁₁×C₄⋊C₈	1	4	yes	—
317	C₄	C₂×C₁₁×C₄⋊C₈	1	4	yes	—
318	C₄	C₁₁×#535	1	1	yes	characteristic
319	C₄	C₁₁×#536	1	1	yes	characteristic
320	C₄	C₁₁×#544	1	2	yes	—
321	C₂	—	2	4	no	—
322	C₂	C₁₁×#2317	1	1	yes	characteristic
323	C₂	C₂²×C₁₁×C₄⋊C₈	1	1	yes	characteristic
324	C₂	C₁₁×#2905	1	1	yes	characteristic
325	C₂	C₁₁×#2988	1	2	yes	—
326	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
4. C₁₁×#1939	C₂	semidirect
6. C₁₁×#1842	C₂	semidirect
7. C₁₁×#1831	C₂	semidirect
37. C₁₁×#117	C₈	semidirect
61. #21972	C₁₁	direct (N × H)
88. C₁₁×C₄⋊C₄	C₂×C₈	semidirect
97. C₄²×C₁₁	C₂×C₈	semidirect
105. #1939	C₂×C₁₁	semidirect
107. #1842	C₂×C₁₁	semidirect
108. #1831	C₂×C₁₁	semidirect
127. C₂×C₄×C₁₁	C₄⋊C₈	semidirect
194. #117	C₈×C₁₁	semidirect
250. C₄⋊C₄	C₂×C₈×C₁₁	semidirect
259. C₄²	C₂×C₈×C₁₁	semidirect
264. C₁₁	#21972	direct (N × H)
283. C₂×C₄	C₁₁×C₄⋊C₈	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#431	2
C₂²×C₁₁×C₄⋊C₈	2
C₄×C₁₁×#117	2
C₁₁×#1939	2
C₁₁×#1850	2
C₁₁×#1842	2
C₁₁×#1831	2
#21972	11

Subgroups — C11×#21972 #14599165

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#21972 #14599165