Subgroups — C₁₁×#22670 #14599863

Order 2816.

1122 conjugacy classes of subgroups.

The subgroup lattice has 342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#442	C₂	1	2	yes	maximal
2	C₂×C₄×C₁₁×D₈	C₂	1	1	yes	maximal, characteristic
3	D₄×C₁₁×C₄⋊C₄	C₂	1	2	yes	maximal, complemented
4	C₁₁×#1943	C₂	1	2	yes	maximal, complemented
5	C₁₁×#1864	C₂	1	4	yes	maximal, complemented
6	C₁₁×#1844	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1802	C₂	1	2	yes	maximal, complemented
8	C₁₁×#1770	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
10	C₂×C₄×D₄×C₁₁	C₂²	1	4	yes	—
11	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
12	C₂²×C₁₁×C₄⋊C₄	—	2	2	no	—
13	C₁₁×#442	—	2	8	no	—
14	C₄×C₁₁×D₈	C₄	1	8	yes	complemented
15	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic
16	C₂×C₁₁×#106	C₂²	1	2	yes	—
17	C₂×C₁₁×#106	C₂²	1	2	yes	—
18	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
19	C₂×C₁₁×#102	C₂²	1	4	yes	—
20	C₂×C₁₁×#102	C₂²	1	2	yes	—
21	C₂×C₁₁×#97	C₂²	1	2	yes	—
22	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
23	C₁₁×#389	C₂²	1	4	yes	—
24	C₁₁×#385	—	2	4	no	—
25	C₁₁×#384	C₂²	1	2	yes	—
26	C₁₁×#380	—	2	2	no	—
27	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
28	C₁₁×#340	C₂²	1	4	yes	—
29	C₁₁×#336	C₂²	1	2	yes	—
30	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
31	C₂³×C₄×C₁₁	—	2	2	no	—
32	C₂³×C₄×C₁₁	—	2	4	no	—
33	C₂×C₁₁×D₈	C₂×C₄	1	4	yes	—
34	C₂×C₁₁×D₈	D₄	1	4	yes	—
35	C₂×C₁₁×D₈	Q₈	1	4	yes	—
36	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
37	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
38	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
39	C₄×D₄×C₁₁	—	2	8	no	—
40	C₄×D₄×C₁₁	—	2	4	no	—
41	C₄×D₄×C₁₁	—	4	4	no	—
42	C₄×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
43	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
44	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
45	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
46	C₂×C₁₁×C₄⋊C₄	—	4	8	no	—
47	C₂×C₁₁×C₄⋊C₄	D₄	1	2	yes	—
48	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
49	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
50	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
51	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
52	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
53	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
54	C₁₁×#107	C₂×C₄	1	4	yes	complemented
55	C₁₁×#106	—	2	4	no	—
56	C₁₁×#106	—	4	2	no	—
57	C₁₁×C₄⋊C₈	—	2	2	no	—
58	C₁₁×#102	—	2	8	no	—
59	C₁₁×#102	C₂×C₄	1	8	yes	complemented
60	C₁₁×#97	—	2	4	no	—
61	C₄×C₈×C₁₁	C₂×C₄	1	4	yes	complemented
62	C₁₁×#95	—	2	4	no	—
63	C₁₁×#95	D₄	1	2	yes	—
64	#22670	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
65	C₂⁴×C₁₁	—	2	2	no	—
66	C₂×D₄×C₁₁	—	2	2	no	—
67	C₂×D₄×C₁₁	—	2	2	no	—
68	C₂×D₄×C₁₁	—	2	2	no	—
69	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
70	C₂×D₄×C₁₁	C₂×D₄	1	4	yes	—
71	C₂×D₄×C₁₁	C₂×Q₈	1	4	yes	—
72	C₂²×C₄×C₁₁	—	2	2	no	—
73	C₂²×C₄×C₁₁	—	2	8	no	—
74	C₂²×C₄×C₁₁	—	2	4	no	—
75	C₂²×C₄×C₁₁	—	4	8	no	—
76	C₂²×C₄×C₁₁	—	4	8	no	—
77	C₂²×C₄×C₁₁	—	4	4	no	—
78	C₂²×C₄×C₁₁	—	4	4	no	—
79	C₂²×C₄×C₁₁	—	8	4	no	—
80	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
81	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
83	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
84	C₁₁×D₈	C₄⋊C₄	1	16	yes	complemented
85	C₂×C₈×C₁₁	—	2	2	no	—
86	C₂×C₈×C₁₁	—	2	2	no	—
87	C₂×C₈×C₁₁	—	2	1	no	—
88	C₂×C₈×C₁₁	—	2	1	no	—
89	C₂×C₈×C₁₁	—	2	2	no	—
90	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
91	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
92	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
93	C₂×C₈×C₁₁	C₂×Q₈	1	2	yes	—
94	C₁₁×C₄⋊C₄	—	2	4	no	—
95	C₁₁×C₄⋊C₄	—	2	2	no	—
96	C₁₁×C₄⋊C₄	—	2	4	no	—
97	C₁₁×C₄⋊C₄	—	2	4	no	—
98	C₁₁×C₄⋊C₄	—	4	8	no	—
99	C₁₁×C₄⋊C₄	—	4	4	no	—
100	C₁₁×C₄⋊C₄	—	8	2	no	—
101	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
102	C₁₁×C₂²⋊C₄	—	2	8	no	—
103	C₁₁×C₂²⋊C₄	—	4	8	no	—
104	C₄²×C₁₁	—	2	2	no	—
105	C₄²×C₁₁	—	2	2	no	—
106	C₄²×C₁₁	C₂²×C₄	1	2	yes	—
107	C₄²×C₁₁	#41	1	2	yes	—
108	C₂×#442	C₂×C₁₁	1	2	yes	—
109	C₂×C₄×D₈	C₂×C₁₁	1	1	yes	characteristic
110	D₄×C₄⋊C₄	C₂×C₁₁	1	2	yes	complemented
111	#1943	C₂×C₁₁	1	2	yes	complemented
112	#1864	C₂×C₁₁	1	4	yes	complemented
113	#1844	C₂×C₁₁	1	1	yes	characteristic, complemented
114	#1802	C₂×C₁₁	1	2	yes	complemented
115	#1770	C₂×C₁₁	1	1	yes	characteristic, complemented
116	C₂³×C₁₁	—	2	4	no	—
117	C₂³×C₁₁	—	2	4	no	—
118	C₂³×C₁₁	—	2	4	no	—
119	C₂³×C₁₁	—	4	2	no	—
120	C₂³×C₁₁	—	4	2	no	—
121	C₂³×C₁₁	—	4	2	no	—
122	C₂³×C₁₁	—	4	2	no	—
123	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
124	D₄×C₁₁	—	2	4	no	—
125	D₄×C₁₁	—	2	4	no	—
126	D₄×C₁₁	—	2	4	no	—
127	D₄×C₁₁	C₂×C₄⋊C₄	1	8	yes	complemented
128	C₂×C₄×C₁₁	—	2	2	no	—
129	C₂×C₄×C₁₁	—	2	4	no	—
130	C₂×C₄×C₁₁	—	2	4	no	—
131	C₂×C₄×C₁₁	—	2	4	no	—
132	C₂×C₄×C₁₁	—	2	4	no	—
133	C₂×C₄×C₁₁	—	4	2	no	—
134	C₂×C₄×C₁₁	—	4	2	no	—
135	C₂×C₄×C₁₁	—	4	16	no	—
136	C₂×C₄×C₁₁	—	4	4	no	—
137	C₂×C₄×C₁₁	—	4	4	no	—
138	C₂×C₄×C₁₁	—	4	4	no	—
139	C₂×C₄×C₁₁	—	8	16	no	—
140	C₂×C₄×C₁₁	C₄×D₄	1	2	yes	—
141	C₂×C₄×C₁₁	C₄×D₄	1	2	yes	—
142	C₂×C₄×C₁₁	AGL(1,ℤ/8)	1	4	yes	—
143	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
144	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
145	C₂×C₄×C₁₁	C₂²×Q₈	1	1	yes	characteristic
146	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
147	C₂×C₄×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
148	C₂×C₄×C₁₁	2₋¹⁺⁴	1	1	yes	characteristic
149	C₈×C₁₁	—	2	2	no	—
150	C₈×C₁₁	—	4	2	no	—
151	C₈×C₁₁	C₂×C₄⋊C₄	1	4	yes	complemented
152	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic
153	C₂×C₄×D₄	C₂²×C₁₁	1	4	yes	—
154	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
155	C₂²×C₄⋊C₄	—	2	2	no	—
156	#442	—	2	8	no	—
157	C₄×D₈	C₄×C₁₁	1	8	yes	complemented
158	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic
159	C₂×#106	C₂²×C₁₁	1	2	yes	—
160	C₂×#106	C₂²×C₁₁	1	2	yes	—
161	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
162	C₂×#102	C₂²×C₁₁	1	4	yes	—
163	C₂×#102	C₂²×C₁₁	1	2	yes	—
164	C₂×#97	C₂²×C₁₁	1	2	yes	—
165	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
166	#389	C₂²×C₁₁	1	4	yes	—
167	#385	—	2	4	no	—
168	#384	C₂²×C₁₁	1	2	yes	—
169	#380	—	2	2	no	—
170	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
171	#340	C₂²×C₁₁	1	4	yes	—
172	#336	C₂²×C₁₁	1	2	yes	—
173	C₂²×C₁₁	—	2	8	no	—
174	C₂²×C₁₁	—	4	4	no	—
175	C₂²×C₁₁	—	4	4	no	—
176	C₂²×C₁₁	—	4	4	no	—
177	C₂²×C₁₁	—	4	4	no	—
178	C₂²×C₁₁	—	4	4	no	—
179	C₂²×C₁₁	—	4	4	no	—
180	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
181	C₂²×C₁₁	D₄²	1	1	yes	characteristic
182	C₂²×C₁₁	D₄×Q₈	1	1	yes	characteristic
183	C₂²×C₁₁	C₂×AGL(1,ℤ/8)	1	2	yes	—
184	C₂²×C₁₁	#577	1	2	yes	—
185	C₄×C₁₁	—	2	2	no	—
186	C₄×C₁₁	—	4	4	no	—
187	C₄×C₁₁	—	4	4	no	—
188	C₄×C₁₁	—	8	4	no	—
189	C₄×C₁₁	#442	1	4	yes	complemented
190	C₄×C₁₁	C₂²×C₄⋊C₄	1	1	yes	characteristic
191	C₄×C₁₁	#520	1	1	yes	characteristic
192	C₄×C₁₁	#547	1	1	yes	characteristic
193	C₄×C₁₁	#554	1	1	yes	characteristic
194	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
195	C₂³×C₄	—	2	2	no	—
196	C₂³×C₄	—	2	4	no	—
197	C₂×D₈	C₂×C₄×C₁₁	1	4	yes	—
198	C₂×D₈	D₄×C₁₁	1	4	yes	—
199	C₂×D₈	Q₈×C₁₁	1	4	yes	—
200	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
201	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
202	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
203	C₄×D₄	—	2	8	no	—
204	C₄×D₄	—	2	4	no	—
205	C₄×D₄	—	4	4	no	—
206	C₄×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
207	C₂×C₄⋊C₄	—	2	2	no	—
208	C₂×C₄⋊C₄	—	2	4	no	—
209	C₂×C₄⋊C₄	—	2	2	no	—
210	C₂×C₄⋊C₄	—	4	8	no	—
211	C₂×C₄⋊C₄	D₄×C₁₁	1	2	yes	—
212	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
213	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
214	C₂×C₂²⋊C₄	—	2	2	no	—
215	C₂×C₂²⋊C₄	—	2	4	no	—
216	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
217	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
218	#107	C₂×C₄×C₁₁	1	4	yes	complemented
219	#106	—	2	4	no	—
220	#106	—	4	2	no	—
221	C₄⋊C₈	—	2	2	no	—
222	#102	—	2	8	no	—
223	#102	C₂×C₄×C₁₁	1	8	yes	complemented
224	#97	—	2	4	no	—
225	C₄×C₈	C₂×C₄×C₁₁	1	4	yes	complemented
226	#95	—	2	4	no	—
227	#95	D₄×C₁₁	1	2	yes	—
228	C₂×C₁₁	—	4	8	no	—
229	C₂×C₁₁	D₄×C₄⋊C₄	1	1	yes	characteristic
230	C₂×C₁₁	C₂×#442	1	1	yes	characteristic
231	C₂×C₁₁	#2952	1	1	yes	characteristic
232	C₂×C₁₁	#3272	1	2	yes	—
233	C₂×C₁₁	#3384	1	2	yes	—
234	C₂⁴	—	2	2	no	—
235	C₂×D₄	—	2	2	no	—
236	C₂×D₄	—	2	2	no	—
237	C₂×D₄	—	2	2	no	—
238	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
239	C₂×D₄	C₂×D₄×C₁₁	1	4	yes	—
240	C₂×D₄	C₂×Q₈×C₁₁	1	4	yes	—
241	C₂²×C₄	—	2	2	no	—
242	C₂²×C₄	—	2	8	no	—
243	C₂²×C₄	—	2	4	no	—
244	C₂²×C₄	—	4	8	no	—
245	C₂²×C₄	—	4	8	no	—
246	C₂²×C₄	—	4	4	no	—
247	C₂²×C₄	—	4	4	no	—
248	C₂²×C₄	—	8	4	no	—
249	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
250	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
251	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
252	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
253	D₈	C₁₁×C₄⋊C₄	1	16	yes	complemented
254	C₂×C₈	—	2	1	no	—
255	C₂×C₈	—	2	1	no	—
256	C₂×C₈	—	2	2	no	—
257	C₂×C₈	—	2	2	no	—
258	C₂×C₈	—	2	2	no	—
259	C₂×C₈	C₂²×C₄×C₁₁	1	2	yes	—
260	C₂×C₈	C₂²×C₄×C₁₁	1	2	yes	—
261	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
262	C₂×C₈	C₂×Q₈×C₁₁	1	2	yes	—
263	C₄⋊C₄	—	2	4	no	—
264	C₄⋊C₄	—	2	2	no	—
265	C₄⋊C₄	—	2	4	no	—
266	C₄⋊C₄	—	2	4	no	—
267	C₄⋊C₄	—	4	8	no	—
268	C₄⋊C₄	—	4	4	no	—
269	C₄⋊C₄	—	8	2	no	—
270	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
271	C₂²⋊C₄	—	2	8	no	—
272	C₂²⋊C₄	—	4	8	no	—
273	C₄²	—	2	2	no	—
274	C₄²	—	2	2	no	—
275	C₄²	C₂²×C₄×C₁₁	1	2	yes	—
276	C₄²	C₁₁×#41	1	2	yes	—
277	C₁₁	#22670	1	1	yes	characteristic, direct product factor, Sylow
278	C₂³	—	2	4	no	—
279	C₂³	—	2	4	no	—
280	C₂³	—	2	4	no	—
281	C₂³	—	4	2	no	—
282	C₂³	—	4	2	no	—
283	C₂³	—	4	2	no	—
284	C₂³	—	4	2	no	—
285	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
286	D₄	—	2	4	no	—
287	D₄	—	2	4	no	—
288	D₄	—	2	4	no	—
289	D₄	C₂×C₁₁×C₄⋊C₄	1	8	yes	complemented
290	C₂×C₄	—	2	2	no	—
291	C₂×C₄	—	2	4	no	—
292	C₂×C₄	—	2	4	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	4	no	—
295	C₂×C₄	—	4	2	no	—
296	C₂×C₄	—	4	2	no	—
297	C₂×C₄	—	4	16	no	—
298	C₂×C₄	—	4	4	no	—
299	C₂×C₄	—	4	4	no	—
300	C₂×C₄	—	4	4	no	—
301	C₂×C₄	—	8	16	no	—
302	C₂×C₄	C₄×D₄×C₁₁	1	2	yes	—
303	C₂×C₄	C₄×D₄×C₁₁	1	2	yes	—
304	C₂×C₄	C₁₁×AGL(1,ℤ/8)	1	4	yes	—
305	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
306	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
307	C₂×C₄	C₂²×Q₈×C₁₁	1	1	yes	characteristic
308	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
309	C₂×C₄	C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
310	C₂×C₄	C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
311	C₈	—	2	2	no	—
312	C₈	—	4	2	no	—
313	C₈	C₂×C₁₁×C₄⋊C₄	1	4	yes	complemented
314	C₂²	—	2	8	no	—
315	C₂²	—	4	4	no	—
316	C₂²	—	4	4	no	—
317	C₂²	—	4	4	no	—
318	C₂²	—	4	4	no	—
319	C₂²	—	4	4	no	—
320	C₂²	—	4	4	no	—
321	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
322	C₂²	D₄²×C₁₁	1	1	yes	characteristic
323	C₂²	D₄×Q₈×C₁₁	1	1	yes	characteristic
324	C₂²	C₂×C₁₁×AGL(1,ℤ/8)	1	2	yes	—
325	C₂²	C₁₁×#577	1	2	yes	—
326	C₄	—	2	2	no	—
327	C₄	—	4	4	no	—
328	C₄	—	4	4	no	—
329	C₄	—	8	4	no	—
330	C₄	C₁₁×#442	1	4	yes	complemented
331	C₄	C₂²×C₁₁×C₄⋊C₄	1	1	yes	characteristic
332	C₄	C₁₁×#520	1	1	yes	characteristic
333	C₄	C₁₁×#547	1	1	yes	characteristic
334	C₄	C₁₁×#554	1	1	yes	characteristic
335	C₂	—	4	8	no	—
336	C₂	D₄×C₁₁×C₄⋊C₄	1	1	yes	characteristic
337	C₂	C₂×C₁₁×#442	1	1	yes	characteristic
338	C₂	C₁₁×#2952	1	1	yes	characteristic
339	C₂	C₁₁×#3272	1	2	yes	—
340	C₂	C₁₁×#3384	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
3. D₄×C₁₁×C₄⋊C₄	C₂	semidirect
4. C₁₁×#1943	C₂	semidirect
5. C₁₁×#1864	C₂	semidirect
6. C₁₁×#1844	C₂	semidirect
7. C₁₁×#1802	C₂	semidirect
8. C₁₁×#1770	C₂	semidirect
14. C₄×C₁₁×D₈	C₄	semidirect
42. C₄×D₄×C₁₁	C₂×C₄	semidirect
54. C₁₁×#107	C₂×C₄	semidirect
59. C₁₁×#102	C₂×C₄	semidirect
61. C₄×C₈×C₁₁	C₂×C₄	semidirect
64. #22670	C₁₁	direct (N × H)
84. C₁₁×D₈	C₄⋊C₄	semidirect
110. D₄×C₄⋊C₄	C₂×C₁₁	semidirect
111. #1943	C₂×C₁₁	semidirect
112. #1864	C₂×C₁₁	semidirect
113. #1844	C₂×C₁₁	semidirect
114. #1802	C₂×C₁₁	semidirect
115. #1770	C₂×C₁₁	semidirect
127. D₄×C₁₁	C₂×C₄⋊C₄	semidirect
151. C₈×C₁₁	C₂×C₄⋊C₄	semidirect
157. C₄×D₈	C₄×C₁₁	semidirect
189. C₄×C₁₁	#442	semidirect
206. C₄×D₄	C₂×C₄×C₁₁	semidirect
218. #107	C₂×C₄×C₁₁	semidirect
223. #102	C₂×C₄×C₁₁	semidirect
225. C₄×C₈	C₂×C₄×C₁₁	semidirect
253. D₈	C₁₁×C₄⋊C₄	semidirect
277. C₁₁	#22670	direct (N × H)
289. D₄	C₂×C₁₁×C₄⋊C₄	semidirect
313. C₈	C₂×C₁₁×C₄⋊C₄	semidirect
330. C₄	C₁₁×#442	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#442	2
C₂×C₄×C₁₁×D₈	2
D₄×C₁₁×C₄⋊C₄	2
C₁₁×#1943	2
C₁₁×#1864	2
C₁₁×#1844	2
C₁₁×#1802	2
C₁₁×#1770	2
#22670	11

Subgroups — C11×#22670 #14599863

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#22670 #14599863