Subgroups — C₁₁×#60714 #14637907

Order 2816.

2070 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3508	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3184	C₂	1	4	yes	maximal, complemented
3	C₁₁×#3176	C₂	1	8	yes	maximal, complemented
4	C₁₁×#3169	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3160	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₁×#493	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#3138	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3058	C₂	1	4	yes	maximal, complemented
9	C₁₁×#2948	C₂	1	4	yes	maximal, complemented
10	C₄×C₁₁×#131	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×C₁₁×D₈	C₂²	1	4	yes	—
12	C₂×C₁₁×#131	C₂²	1	2	yes	—
13	C₁₁×#559	—	2	4	no	—
14	C₁₁×#550	—	2	4	no	—
15	C₁₁×#546	—	2	8	no	—
16	C₁₁×#540	C₂²	1	8	yes	complemented
17	C₁₁×#535	C₂²	1	4	yes	—
18	C₁₁×#533	C₂²	1	2	yes	—
19	C₁₁×#532	C₂²	1	8	yes	complemented
20	C₂×C₁₁×#127	C₂²	1	2	yes	—
21	C₁₁×#518	C₂²	1	4	yes	—
22	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
23	C₁₁×#500	C₂²	1	2	yes	complemented
24	C₁₁×#499	C₂²	1	4	yes	complemented
25	C₁₁×#498	C₂²	1	2	yes	complemented
26	C₁₁×#493	C₂²	1	2	yes	—
27	C₁₁×#493	C₂²	1	4	yes	—
28	C₁₁×#493	C₂²	1	2	yes	—
29	C₁₁×#490	C₂²	1	8	yes	complemented
30	C₁₁×#486	C₂²	1	8	yes	complemented
31	C₁₁×#469	C₂²	1	16	yes	complemented
32	C₁₁×#466	C₂²	1	16	yes	complemented
33	C₁₁×#442	C₂²	1	16	yes	complemented
34	C₄×C₁₁×D₈	C₂²	1	16	yes	complemented
35	C₁₁×#427	C₂²	1	4	yes	—
36	C₁₁×#418	C₂²	1	8	yes	—
37	C₁₁×#405	C₂²	1	2	yes	—
38	C₁₁×#405	C₂²	1	4	yes	complemented
39	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
40	C₄×C₁₁×M₁₆	C₂²	1	2	yes	complemented
41	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₈×C₁₁	C₂²	1	2	yes	complemented
43	C₂×C₁₁×#41	—	2	8	no	—
44	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
45	C₂²×D₄×C₁₁	—	2	4	no	—
46	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
47	C₂×C₁₁×D₈	—	2	16	no	—
48	C₂×C₁₁×D₈	C₂³	1	8	yes	—
49	C₂×C₁₁×D₈	C₂³	1	8	yes	—
50	C₁₁×#131	—	2	8	no	—
51	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
52	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
53	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
54	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
55	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
56	C₁₁×#127	—	2	4	no	—
57	C₁₁×#127	—	2	4	no	—
58	C₁₁×#127	C₂³	1	4	yes	—
59	C₁₁×#127	C₂³	1	4	yes	—
60	C₁₁×#125	C₂³	1	4	yes	—
61	C₁₁×#124	—	2	4	no	—
62	C₁₁×#124	—	2	8	no	—
63	C₁₁×#123	—	2	16	no	—
64	C₁₁×C₂²⋊Q₈	—	2	4	no	—
65	C₁₁×#121	—	2	8	no	—
66	C₁₁×#121	—	2	16	no	—
67	C₁₁×#121	C₂³	1	16	yes	—
68	C₁₁×#120	—	2	8	no	—
69	C₄×Q₈×C₁₁	—	2	4	no	—
70	C₄×Q₈×C₁₁	D₄	1	2	yes	—
71	C₄×D₄×C₁₁	—	2	8	no	—
72	C₄×D₄×C₁₁	—	2	8	no	—
73	C₄×D₄×C₁₁	D₄	1	4	yes	—
74	C₄×D₄×C₁₁	D₄	1	2	yes	—
75	C₄×D₄×C₁₁	C₂³	1	16	yes	—
76	C₁₁×#117	C₂³	1	4	yes	—
77	C₁₁×#117	C₂³	1	1	yes	characteristic
78	C₁₁×#117	C₂³	1	2	yes	—
79	C₂×C₁₁×C₂²⋊C₄	—	2	8	no	—
80	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
81	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
82	C₁₁×#107	C₂³	1	8	yes	—
83	C₁₁×#106	C₂³	1	8	yes	—
84	C₁₁×#102	C₂³	1	32	yes	—
85	C₁₁×#97	C₂³	1	2	yes	—
86	C₁₁×#97	C₂³	1	4	yes	—
87	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
88	C₄×C₈×C₁₁	C₂³	1	2	yes	—
89	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
90	C₄×C₈×C₁₁	C₂³	1	2	yes	—
91	C₄×C₈×C₁₁	C₂³	1	4	yes	—
92	#60714	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
93	C₂⁴×C₁₁	—	2	4	no	—
94	C₁₁×#41	—	2	4	no	—
95	C₁₁×#41	—	8	16	no	—
96	C₂×Q₈×C₁₁	—	2	4	no	—
97	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
98	C₂×D₄×C₁₁	—	2	16	no	—
99	C₂×D₄×C₁₁	—	2	4	no	—
100	C₂×D₄×C₁₁	—	2	8	no	—
101	C₂×D₄×C₁₁	—	2	8	no	—
102	C₂×D₄×C₁₁	—	2	16	no	—
103	C₂×D₄×C₁₁	—	8	8	no	—
104	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
105	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
106	C₂×D₄×C₁₁	C₂⁴	1	8	yes	—
107	C₂²×C₄×C₁₁	—	2	16	no	—
108	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
109	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
110	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
111	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
112	C₁₁×D₈	—	2	16	no	—
113	C₁₁×D₈	—	2	16	no	—
114	C₁₁×M₁₆	—	2	8	no	—
115	C₁₁×M₁₆	—	2	4	no	—
116	C₂×C₈×C₁₁	—	2	8	no	—
117	C₂×C₈×C₁₁	#41	1	8	yes	complemented
118	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
119	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
120	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
121	C₁₁×C₄⋊C₄	—	2	4	no	—
122	C₁₁×C₄⋊C₄	—	2	8	no	—
123	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
124	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
125	C₁₁×C₄⋊C₄	C₂⁴	1	8	yes	—
126	C₁₁×C₂²⋊C₄	—	2	4	no	—
127	C₁₁×C₂²⋊C₄	—	2	16	no	—
128	C₁₁×C₂²⋊C₄	—	2	16	no	—
129	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
130	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
131	C₄²×C₁₁	—	2	4	no	—
132	C₄²×C₁₁	C₂×D₄	1	4	yes	—
133	C₄²×C₁₁	C₂×D₄	1	2	yes	—
134	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
135	C₄²×C₁₁	C₂⁴	1	2	yes	—
136	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
137	#3508	C₂×C₁₁	1	2	yes	complemented
138	#3184	C₂×C₁₁	1	4	yes	complemented
139	#3176	C₂×C₁₁	1	8	yes	complemented
140	#3169	C₂×C₁₁	1	4	yes	complemented
141	#3160	C₂×C₁₁	1	1	yes	characteristic, complemented
142	C₂×#493	C₂×C₁₁	1	1	yes	characteristic, complemented
143	#3138	C₂×C₁₁	1	2	yes	complemented
144	#3058	C₂×C₁₁	1	4	yes	complemented
145	#2948	C₂×C₁₁	1	4	yes	complemented
146	C₄×#131	C₂×C₁₁	1	1	yes	characteristic, complemented
147	C₂³×C₁₁	—	2	8	no	—
148	C₂³×C₁₁	—	4	8	no	—
149	C₂³×C₁₁	—	8	8	no	—
150	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
151	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
152	Q₈×C₁₁	—	2	2	no	—
153	Q₈×C₁₁	—	4	8	no	—
154	D₄×C₁₁	—	2	4	no	—
155	D₄×C₁₁	—	2	2	no	—
156	D₄×C₁₁	—	2	16	no	—
157	D₄×C₁₁	—	4	8	no	—
158	D₄×C₁₁	—	4	16	no	—
159	D₄×C₁₁	—	8	8	no	—
160	D₄×C₁₁	—	8	16	no	—
161	C₂×C₄×C₁₁	—	2	4	no	—
162	C₂×C₄×C₁₁	—	2	8	no	—
163	C₂×C₄×C₁₁	—	2	4	no	—
164	C₂×C₄×C₁₁	—	2	8	no	—
165	C₂×C₄×C₁₁	—	8	16	no	—
166	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
167	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
168	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
169	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
170	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
171	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
172	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
173	C₈×C₁₁	—	2	4	no	—
174	C₈×C₁₁	C₂×#41	1	4	yes	—
175	C₈×C₁₁	C₂×#41	1	4	yes	—
176	C₂²×D₈	C₂²×C₁₁	1	4	yes	—
177	C₂×#131	C₂²×C₁₁	1	2	yes	—
178	#559	—	2	4	no	—
179	#550	—	2	4	no	—
180	#546	—	2	8	no	—
181	#540	C₂²×C₁₁	1	8	yes	complemented
182	#535	C₂²×C₁₁	1	4	yes	—
183	#533	C₂²×C₁₁	1	2	yes	—
184	#532	C₂²×C₁₁	1	8	yes	complemented
185	C₂×#127	C₂²×C₁₁	1	2	yes	—
186	#518	C₂²×C₁₁	1	4	yes	—
187	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
188	#500	C₂²×C₁₁	1	2	yes	complemented
189	#499	C₂²×C₁₁	1	4	yes	complemented
190	#498	C₂²×C₁₁	1	2	yes	complemented
191	#493	C₂²×C₁₁	1	2	yes	—
192	#493	C₂²×C₁₁	1	4	yes	—
193	#493	C₂²×C₁₁	1	2	yes	—
194	#490	C₂²×C₁₁	1	8	yes	complemented
195	#486	C₂²×C₁₁	1	8	yes	complemented
196	#469	C₂²×C₁₁	1	16	yes	complemented
197	#466	C₂²×C₁₁	1	16	yes	complemented
198	#442	C₂²×C₁₁	1	16	yes	complemented
199	C₄×D₈	C₂²×C₁₁	1	16	yes	complemented
200	#427	C₂²×C₁₁	1	4	yes	—
201	#418	C₂²×C₁₁	1	8	yes	—
202	#405	C₂²×C₁₁	1	2	yes	—
203	#405	C₂²×C₁₁	1	4	yes	complemented
204	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
205	C₄×M₁₆	C₂²×C₁₁	1	2	yes	complemented
206	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
207	C₂×C₄×C₈	C₂²×C₁₁	1	2	yes	complemented
208	C₂²×C₁₁	—	2	2	no	—
209	C₂²×C₁₁	—	2	2	no	—
210	C₂²×C₁₁	—	2	4	no	—
211	C₂²×C₁₁	—	4	8	no	—
212	C₂²×C₁₁	—	4	16	no	—
213	C₂²×C₁₁	—	16	8	no	—
214	C₂²×C₁₁	#532	1	2	yes	—
215	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
216	C₄×C₁₁	—	2	2	no	—
217	C₄×C₁₁	—	2	4	no	—
218	C₄×C₁₁	—	2	2	no	—
219	C₄×C₁₁	—	4	8	no	—
220	C₄×C₁₁	#532	1	2	yes	—
221	C₄×C₁₁	#576	1	4	yes	—
222	C₄×C₁₁	C₂²×#41	1	2	yes	—
223	C₂×#41	—	2	8	no	—
224	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
225	C₂²×D₄	—	2	4	no	—
226	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
227	C₂×D₈	—	2	16	no	—
228	C₂×D₈	C₂³×C₁₁	1	8	yes	—
229	C₂×D₈	C₂³×C₁₁	1	8	yes	—
230	#131	—	2	8	no	—
231	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
232	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
233	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
234	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
235	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
236	#127	—	2	4	no	—
237	#127	—	2	4	no	—
238	#127	C₂³×C₁₁	1	4	yes	—
239	#127	C₂³×C₁₁	1	4	yes	—
240	#125	C₂³×C₁₁	1	4	yes	—
241	#124	—	2	4	no	—
242	#124	—	2	8	no	—
243	#123	—	2	16	no	—
244	C₂²⋊Q₈	—	2	4	no	—
245	#121	—	2	8	no	—
246	#121	—	2	16	no	—
247	#121	C₂³×C₁₁	1	16	yes	—
248	#120	—	2	8	no	—
249	C₄×Q₈	—	2	4	no	—
250	C₄×Q₈	D₄×C₁₁	1	2	yes	—
251	C₄×D₄	—	2	8	no	—
252	C₄×D₄	—	2	8	no	—
253	C₄×D₄	D₄×C₁₁	1	4	yes	—
254	C₄×D₄	D₄×C₁₁	1	2	yes	—
255	C₄×D₄	C₂³×C₁₁	1	16	yes	—
256	#117	C₂³×C₁₁	1	4	yes	—
257	#117	C₂³×C₁₁	1	1	yes	characteristic
258	#117	C₂³×C₁₁	1	2	yes	—
259	C₂×C₂²⋊C₄	—	2	8	no	—
260	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
261	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
262	#107	C₂³×C₁₁	1	8	yes	—
263	#106	C₂³×C₁₁	1	8	yes	—
264	#102	C₂³×C₁₁	1	32	yes	—
265	#97	C₂³×C₁₁	1	2	yes	—
266	#97	C₂³×C₁₁	1	4	yes	—
267	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
268	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
269	C₄×C₈	C₂³×C₁₁	1	2	yes	—
270	C₄×C₈	C₂³×C₁₁	1	2	yes	—
271	C₄×C₈	C₂³×C₁₁	1	4	yes	—
272	C₂×C₁₁	—	2	2	no	—
273	C₂×C₁₁	—	4	2	no	—
274	C₂×C₁₁	—	8	8	no	—
275	C₂×C₁₁	C₂×#532	1	1	yes	characteristic
276	C₂×C₁₁	C₂×#576	1	2	yes	—
277	C₂⁴	—	2	4	no	—
278	#41	—	2	4	no	—
279	#41	—	8	16	no	—
280	C₂×Q₈	—	2	4	no	—
281	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
282	C₂×D₄	—	2	16	no	—
283	C₂×D₄	—	2	4	no	—
284	C₂×D₄	—	2	8	no	—
285	C₂×D₄	—	2	8	no	—
286	C₂×D₄	—	2	16	no	—
287	C₂×D₄	—	8	8	no	—
288	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
289	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
290	C₂×D₄	C₂⁴×C₁₁	1	8	yes	—
291	C₂²×C₄	—	2	16	no	—
292	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
293	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
294	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
295	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
296	D₈	—	2	16	no	—
297	D₈	—	2	16	no	—
298	M₁₆	—	2	4	no	—
299	M₁₆	—	2	8	no	—
300	C₂×C₈	—	2	8	no	—
301	C₂×C₈	C₁₁×#41	1	8	yes	complemented
302	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
303	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
304	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
305	C₄⋊C₄	—	2	4	no	—
306	C₄⋊C₄	—	2	8	no	—
307	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
308	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
309	C₄⋊C₄	C₂⁴×C₁₁	1	8	yes	—
310	C₂²⋊C₄	—	2	4	no	—
311	C₂²⋊C₄	—	2	16	no	—
312	C₂²⋊C₄	—	2	16	no	—
313	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
314	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
315	C₄²	—	2	4	no	—
316	C₄²	C₂×D₄×C₁₁	1	4	yes	—
317	C₄²	C₂×D₄×C₁₁	1	2	yes	—
318	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
319	C₄²	C₂⁴×C₁₁	1	2	yes	—
320	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
321	C₁₁	#60714	1	1	yes	characteristic, direct product factor, Sylow
322	C₂³	—	2	8	no	—
323	C₂³	—	4	8	no	—
324	C₂³	—	8	8	no	—
325	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
326	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
327	Q₈	—	2	2	no	—
328	Q₈	—	4	8	no	—
329	D₄	—	2	4	no	—
330	D₄	—	2	2	no	—
331	D₄	—	2	16	no	—
332	D₄	—	4	8	no	—
333	D₄	—	4	16	no	—
334	D₄	—	8	8	no	—
335	D₄	—	8	16	no	—
336	C₂×C₄	—	2	4	no	—
337	C₂×C₄	—	2	8	no	—
338	C₂×C₄	—	2	4	no	—
339	C₂×C₄	—	2	8	no	—
340	C₂×C₄	—	8	16	no	—
341	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
342	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
343	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
344	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
345	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
346	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
347	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
348	C₈	—	2	4	no	—
349	C₈	C₂×C₁₁×#41	1	4	yes	—
350	C₈	C₂×C₁₁×#41	1	4	yes	—
351	C₂²	—	2	2	no	—
352	C₂²	—	2	2	no	—
353	C₂²	—	2	4	no	—
354	C₂²	—	4	8	no	—
355	C₂²	—	4	16	no	—
356	C₂²	—	16	8	no	—
357	C₂²	C₁₁×#532	1	2	yes	—
358	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
359	C₄	—	2	2	no	—
360	C₄	—	2	4	no	—
361	C₄	—	2	2	no	—
362	C₄	—	4	8	no	—
363	C₄	C₁₁×#532	1	2	yes	—
364	C₄	C₁₁×#576	1	4	yes	—
365	C₄	C₂²×C₁₁×#41	1	2	yes	—
366	C₂	—	2	2	no	—
367	C₂	—	4	2	no	—
368	C₂	—	8	8	no	—
369	C₂	C₂×C₁₁×#532	1	1	yes	characteristic
370	C₂	C₂×C₁₁×#576	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₄×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3508	C₂	semidirect
2. C₁₁×#3184	C₂	semidirect
3. C₁₁×#3176	C₂	semidirect
4. C₁₁×#3169	C₂	semidirect
5. C₁₁×#3160	C₂	semidirect
6. C₂×C₁₁×#493	C₂	semidirect
7. C₁₁×#3138	C₂	semidirect
8. C₁₁×#3058	C₂	semidirect
9. C₁₁×#2948	C₂	semidirect
10. C₄×C₁₁×#131	C₂	semidirect
16. C₁₁×#540	C₂²	semidirect
19. C₁₁×#532	C₂²	semidirect
23. C₁₁×#500	C₂²	semidirect
24. C₁₁×#499	C₂²	semidirect
25. C₁₁×#498	C₂²	semidirect
29. C₁₁×#490	C₂²	semidirect
30. C₁₁×#486	C₂²	semidirect
31. C₁₁×#469	C₂²	semidirect
32. C₁₁×#466	C₂²	semidirect
33. C₁₁×#442	C₂²	semidirect
34. C₄×C₁₁×D₈	C₂²	semidirect
38. C₁₁×#405	C₂²	semidirect
40. C₄×C₁₁×M₁₆	C₂²	semidirect
42. C₂×C₄×C₈×C₁₁	C₂²	semidirect
92. #60714	C₁₁	direct (N × H)
117. C₂×C₈×C₁₁	#41	semidirect
137. #3508	C₂×C₁₁	semidirect
138. #3184	C₂×C₁₁	semidirect
139. #3176	C₂×C₁₁	semidirect
140. #3169	C₂×C₁₁	semidirect
141. #3160	C₂×C₁₁	semidirect
142. C₂×#493	C₂×C₁₁	semidirect
143. #3138	C₂×C₁₁	semidirect
144. #3058	C₂×C₁₁	semidirect
145. #2948	C₂×C₁₁	semidirect
146. C₄×#131	C₂×C₁₁	semidirect
181. #540	C₂²×C₁₁	semidirect
184. #532	C₂²×C₁₁	semidirect
188. #500	C₂²×C₁₁	semidirect
189. #499	C₂²×C₁₁	semidirect
190. #498	C₂²×C₁₁	semidirect
194. #490	C₂²×C₁₁	semidirect
195. #486	C₂²×C₁₁	semidirect
196. #469	C₂²×C₁₁	semidirect
197. #466	C₂²×C₁₁	semidirect
198. #442	C₂²×C₁₁	semidirect
199. C₄×D₈	C₂²×C₁₁	semidirect
203. #405	C₂²×C₁₁	semidirect
205. C₄×M₁₆	C₂²×C₁₁	semidirect
207. C₂×C₄×C₈	C₂²×C₁₁	semidirect
301. C₂×C₈	C₁₁×#41	semidirect
321. C₁₁	#60714	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×#3508	2
C₁₁×#3184	2
C₁₁×#3176	2
C₁₁×#3169	2
C₁₁×#3160	2
C₂×C₁₁×#493	2
C₁₁×#3138	2
C₁₁×#3058	2
C₁₁×#2948	2
C₄×C₁₁×#131	2
#60714	11

Subgroups — C11×#60714 #14637907

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60714 #14637907