Subgroups — C₁₁×#17992 #14595185

Order 2816.

576 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3168	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2993	C₂	1	2	yes	maximal, complemented
3	C₁₁×#1588	C₂	1	2	yes	maximal, complemented
4	C₁₁×#1585	C₂	1	2	yes	maximal, complemented
5	C₁₁×#1584	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1581	C₂	1	2	yes	maximal, complemented
7	C₁₁×#1567	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#1495	C₂	1	2	yes	maximal, complemented
9	C₁₁×#1452	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#529	C₂²	1	2	yes	—
11	C₁₁×#499	C₄	1	1	yes	characteristic
12	C₁₁×#495	C₄	1	1	yes	characteristic
13	C₁₁×#488	C₄	1	2	yes	—
14	C₁₁×#467	C₄	1	1	yes	characteristic
15	C₁₁×#466	C₄	1	1	yes	characteristic
16	C₁₁×#465	C₄	1	2	yes	—
17	C₁₁×#446	C₂²	1	2	yes	—
18	C₈×Q₈×C₁₁	C₂²	1	2	yes	—
19	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
20	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
21	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
22	C₁₁×#436	—	2	2	no	—
23	C₁₁×#436	C₂²	1	2	yes	—
24	C₁₁×#435	—	2	2	no	—
25	C₈×D₄×C₁₁	C₂²	1	2	yes	—
26	C₁₁×#433	—	2	2	no	—
27	C₁₁×#431	C₂²	1	1	yes	characteristic
28	C₁₁×#431	C₂²	1	1	yes	characteristic
29	C₁₁×#424	—	2	2	no	—
30	C₁₁×#423	C₂²	1	2	yes	—
31	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
32	C₁₁×#335	C₂²	1	2	yes	—
33	C₁₁×#335	C₂²	1	1	yes	characteristic
34	C₁₁×#335	C₂²	1	1	yes	characteristic
35	C₁₁×Q₈⋊C₈	C₂²	1	2	yes	—
36	C₁₁×Q₈⋊C₈	C₂²	1	2	yes	—
37	C₁₁×D₄⋊C₈	C₂²	1	2	yes	—
38	C₁₁×D₄⋊C₈	C₂²	1	2	yes	—
39	C₁₁×#322	C₂²	1	2	yes	—
40	C₁₁×#322	C₂²	1	2	yes	—
41	C₂×C₁₁×Q₁₆	C₂×C₄	1	1	yes	characteristic
42	C₂×C₁₁×SD₁₆	C₂×C₄	1	2	yes	—
43	C₂×C₁₁×D₈	C₂×C₄	1	1	yes	characteristic
44	C₂×C₁₁×M₁₆	—	2	2	no	—
45	C₂×C₁₁×M₁₆	—	2	2	no	—
46	C₂²×C₈×C₁₁	—	2	2	no	—
47	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
48	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
49	C₁₁×#126	—	2	2	no	—
50	C₁₁×#125	C₂×C₄	1	2	yes	—
51	C₁₁×#124	C₂×C₄	1	2	yes	—
52	C₁₁×#123	—	2	2	no	—
53	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
54	C₁₁×#121	C₂×C₄	1	2	yes	—
55	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
56	C₄×D₄×C₁₁	—	2	2	no	—
57	C₄×D₄×C₁₁	C₂³	1	2	yes	—
58	C₁₁×#117	—	2	2	no	—
59	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
60	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
61	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
62	C₁₁×#106	C₂×C₄	1	2	yes	—
63	C₁₁×C₄⋊C₈	—	2	2	no	—
64	C₁₁×C₄⋊C₈	—	2	2	no	—
65	C₁₁×C₄⋊C₈	—	2	2	no	—
66	C₁₁×C₄⋊C₈	—	2	1	no	—
67	C₁₁×C₄⋊C₈	D₄	1	1	yes	characteristic
68	C₁₁×C₄⋊C₈	D₄	1	1	yes	characteristic
69	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
70	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
71	C₁₁×#103	C₂×C₄	1	2	yes	—
72	C₁₁×#103	C₂×C₄	1	2	yes	—
73	C₁₁×#102	C₂×C₄	1	2	yes	—
74	C₁₁×#102	C₂×C₄	1	2	yes	—
75	C₁₁×C₂²⋊C₈	—	2	1	no	—
76	C₁₁×C₂²⋊C₈	—	2	2	no	—
77	C₁₁×C₂²⋊C₈	—	2	2	no	—
78	C₁₁×C₂²⋊C₈	D₄	1	2	yes	—
79	C₁₁×#97	—	2	2	no	—
80	C₄×C₈×C₁₁	—	2	2	no	—
81	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
82	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
83	C₄×C₈×C₁₁	C₂³	1	2	yes	—
84	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
85	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
86	C₄×C₈×C₁₁	C₂³	1	2	yes	—
87	#17992	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
88	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
89	C₂×D₄×C₁₁	—	2	2	no	—
90	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
91	C₂²×C₄×C₁₁	—	2	2	no	—
92	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
93	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
95	C₁₁×Q₁₆	—	4	1	no	—
96	C₁₁×SD₁₆	—	4	2	no	—
97	C₁₁×D₈	—	4	1	no	—
98	C₁₁×M₁₆	—	8	2	no	—
99	C₁₁×M₁₆	—	8	2	no	—
100	C₂×C₈×C₁₁	—	2	2	no	—
101	C₂×C₈×C₁₁	—	2	2	no	—
102	C₂×C₈×C₁₁	—	2	2	no	—
103	C₂×C₈×C₁₁	—	4	1	no	—
104	C₂×C₈×C₁₁	—	4	1	no	—
105	C₂×C₈×C₁₁	—	8	2	no	—
106	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
108	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
109	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
110	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
111	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
112	C₁₁×C₄⋊C₄	—	2	2	no	—
113	C₁₁×C₄⋊C₄	—	2	2	no	—
114	C₁₁×C₄⋊C₄	—	2	2	no	—
115	C₁₁×C₄⋊C₄	—	2	2	no	—
116	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
117	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
118	C₁₁×C₂²⋊C₄	—	2	2	no	—
119	C₁₁×C₂²⋊C₄	—	2	2	no	—
120	C₁₁×C₂²⋊C₄	—	2	2	no	—
121	C₁₁×C₂²⋊C₄	—	2	2	no	—
122	C₁₁×C₂²⋊C₄	—	2	2	no	—
123	C₄²×C₁₁	—	2	2	no	—
124	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
125	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₁₁	#41	1	1	yes	characteristic
127	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
128	#3168	C₂×C₁₁	1	1	yes	characteristic
129	#2993	C₂×C₁₁	1	2	yes	complemented
130	#1588	C₂×C₁₁	1	2	yes	complemented
131	#1585	C₂×C₁₁	1	2	yes	complemented
132	#1584	C₂×C₁₁	1	2	yes	complemented
133	#1581	C₂×C₁₁	1	2	yes	complemented
134	#1567	C₂×C₁₁	1	1	yes	characteristic, complemented
135	#1495	C₂×C₁₁	1	2	yes	complemented
136	#1452	C₂×C₁₁	1	1	yes	characteristic, complemented
137	C₂³×C₁₁	—	2	2	no	—
138	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
139	Q₈×C₁₁	—	2	2	no	—
140	Q₈×C₁₁	—	2	2	no	—
141	D₄×C₁₁	—	2	2	no	—
142	D₄×C₁₁	—	2	2	no	—
143	D₄×C₁₁	—	8	2	no	—
144	C₂×C₄×C₁₁	—	2	1	no	—
145	C₂×C₄×C₁₁	—	2	1	no	—
146	C₂×C₄×C₁₁	—	2	1	no	—
147	C₂×C₄×C₁₁	—	2	1	no	—
148	C₂×C₄×C₁₁	—	2	2	no	—
149	C₂×C₄×C₁₁	—	2	2	no	—
150	C₂×C₄×C₁₁	—	2	2	no	—
151	C₂×C₄×C₁₁	—	4	1	no	—
152	C₂×C₄×C₁₁	—	4	2	no	—
153	C₂×C₄×C₁₁	—	4	2	no	—
154	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
155	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
156	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
157	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
158	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
159	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
160	C₈×C₁₁	—	2	1	no	—
161	C₈×C₁₁	—	2	1	no	—
162	C₈×C₁₁	—	2	1	no	—
163	C₈×C₁₁	—	2	1	no	—
164	C₈×C₁₁	—	2	2	no	—
165	C₈×C₁₁	—	2	2	no	—
166	C₈×C₁₁	—	4	2	no	—
167	C₈×C₁₁	—	4	2	no	—
168	C₈×C₁₁	—	4	2	no	—
169	#529	C₂²×C₁₁	1	2	yes	—
170	#499	C₄×C₁₁	1	1	yes	characteristic
171	#495	C₄×C₁₁	1	1	yes	characteristic
172	#488	C₄×C₁₁	1	2	yes	—
173	#467	C₄×C₁₁	1	1	yes	characteristic
174	#466	C₄×C₁₁	1	1	yes	characteristic
175	#465	C₄×C₁₁	1	2	yes	—
176	#446	C₂²×C₁₁	1	2	yes	—
177	C₈×Q₈	C₂²×C₁₁	1	2	yes	—
178	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
179	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
180	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
181	#436	—	2	2	no	—
182	#436	C₂²×C₁₁	1	2	yes	—
183	#435	—	2	2	no	—
184	C₈×D₄	C₂²×C₁₁	1	2	yes	—
185	#433	—	2	2	no	—
186	#431	C₂²×C₁₁	1	1	yes	characteristic
187	#431	C₂²×C₁₁	1	1	yes	characteristic
188	#424	—	2	2	no	—
189	#423	C₂²×C₁₁	1	2	yes	—
190	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
191	#335	C₂²×C₁₁	1	2	yes	—
192	#335	C₂²×C₁₁	1	1	yes	characteristic
193	#335	C₂²×C₁₁	1	1	yes	characteristic
194	Q₈⋊C₈	C₂²×C₁₁	1	2	yes	—
195	Q₈⋊C₈	C₂²×C₁₁	1	2	yes	—
196	D₄⋊C₈	C₂²×C₁₁	1	2	yes	—
197	D₄⋊C₈	C₂²×C₁₁	1	2	yes	—
198	#322	C₂²×C₁₁	1	2	yes	—
199	#322	C₂²×C₁₁	1	2	yes	—
200	C₂²×C₁₁	—	2	1	no	—
201	C₂²×C₁₁	—	2	1	no	—
202	C₂²×C₁₁	—	2	1	no	—
203	C₂²×C₁₁	—	4	2	no	—
204	C₂²×C₁₁	—	4	2	no	—
205	C₂²×C₁₁	—	4	2	no	—
206	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
207	C₄×C₁₁	—	2	1	no	—
208	C₄×C₁₁	—	2	1	no	—
209	C₄×C₁₁	—	2	1	no	—
210	C₄×C₁₁	—	2	1	no	—
211	C₄×C₁₁	—	4	2	no	—
212	C₄×C₁₁	—	4	2	no	—
213	C₄×C₁₁	—	4	2	no	—
214	C₄×C₁₁	#568	1	1	yes	characteristic
215	C₄×C₁₁	#568	1	1	yes	characteristic
216	C₄×C₁₁	#576	1	1	yes	characteristic
217	C₄×C₁₁	#578	1	1	yes	characteristic
218	C₂×Q₁₆	C₂×C₄×C₁₁	1	1	yes	characteristic
219	C₂×SD₁₆	C₂×C₄×C₁₁	1	2	yes	—
220	C₂×D₈	C₂×C₄×C₁₁	1	1	yes	characteristic
221	C₂×M₁₆	—	2	2	no	—
222	C₂×M₁₆	—	2	2	no	—
223	C₂²×C₈	—	2	2	no	—
224	C₂²×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
225	C₂²×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
226	#126	—	2	2	no	—
227	#125	C₂×C₄×C₁₁	1	2	yes	—
228	#124	C₂×C₄×C₁₁	1	2	yes	—
229	#123	—	2	2	no	—
230	C₂²⋊Q₈	C₂×C₄×C₁₁	1	2	yes	—
231	#121	C₂×C₄×C₁₁	1	2	yes	—
232	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
233	C₄×D₄	—	2	2	no	—
234	C₄×D₄	C₂³×C₁₁	1	2	yes	—
235	#117	—	2	2	no	—
236	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
237	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
238	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
239	#106	C₂×C₄×C₁₁	1	2	yes	—
240	C₄⋊C₈	—	2	2	no	—
241	C₄⋊C₈	—	2	2	no	—
242	C₄⋊C₈	—	2	2	no	—
243	C₄⋊C₈	—	2	1	no	—
244	C₄⋊C₈	D₄×C₁₁	1	1	yes	characteristic
245	C₄⋊C₈	D₄×C₁₁	1	1	yes	characteristic
246	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
247	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
248	#103	C₂×C₄×C₁₁	1	2	yes	—
249	#103	C₂×C₄×C₁₁	1	2	yes	—
250	#102	C₂×C₄×C₁₁	1	2	yes	—
251	#102	C₂×C₄×C₁₁	1	2	yes	—
252	C₂²⋊C₈	—	2	1	no	—
253	C₂²⋊C₈	—	2	2	no	—
254	C₂²⋊C₈	—	2	2	no	—
255	C₂²⋊C₈	D₄×C₁₁	1	2	yes	—
256	#97	—	2	2	no	—
257	C₄×C₈	—	2	2	no	—
258	C₄×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
259	C₄×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
260	C₄×C₈	C₂³×C₁₁	1	2	yes	—
261	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
262	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
263	C₄×C₈	C₂³×C₁₁	1	2	yes	—
264	C₂×C₁₁	—	4	1	no	—
265	C₂×C₁₁	—	8	2	no	—
266	C₂×C₁₁	#2932	1	1	yes	characteristic
267	C₂×C₁₁	#2951	1	1	yes	characteristic
268	C₂×C₁₁	#2957	1	1	yes	characteristic
269	C₂×Q₈	C₂²×C₄×C₁₁	1	2	yes	—
270	C₂×D₄	—	2	2	no	—
271	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
272	C₂²×C₄	—	2	2	no	—
273	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
274	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
275	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
276	Q₁₆	—	4	1	no	—
277	SD₁₆	—	4	2	no	—
278	D₈	—	4	1	no	—
279	M₁₆	—	8	2	no	—
280	M₁₆	—	8	2	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	—	2	2	no	—
284	C₂×C₈	—	4	1	no	—
285	C₂×C₈	—	4	1	no	—
286	C₂×C₈	—	8	2	no	—
287	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
288	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
289	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
290	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
291	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
292	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
298	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
299	C₂²⋊C₄	—	2	2	no	—
300	C₂²⋊C₄	—	2	2	no	—
301	C₂²⋊C₄	—	2	2	no	—
302	C₂²⋊C₄	—	2	2	no	—
303	C₂²⋊C₄	—	2	2	no	—
304	C₄²	—	2	2	no	—
305	C₄²	C₂²×C₄×C₁₁	1	1	yes	characteristic
306	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
307	C₄²	C₁₁×#41	1	1	yes	characteristic
308	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
309	C₁₁	#17992	1	1	yes	characteristic, direct product factor, Sylow
310	C₂³	—	2	2	no	—
311	C₂³	C₄×D₄×C₁₁	1	1	yes	characteristic
312	Q₈	—	2	2	no	—
313	Q₈	—	2	2	no	—
314	D₄	—	2	2	no	—
315	D₄	—	2	2	no	—
316	D₄	—	8	2	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	4	1	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
328	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
329	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
330	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
331	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
332	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
333	C₈	—	2	1	no	—
334	C₈	—	2	1	no	—
335	C₈	—	2	1	no	—
336	C₈	—	2	1	no	—
337	C₈	—	2	2	no	—
338	C₈	—	2	2	no	—
339	C₈	—	4	2	no	—
340	C₈	—	4	2	no	—
341	C₈	—	4	2	no	—
342	C₂²	—	2	1	no	—
343	C₂²	—	2	1	no	—
344	C₂²	—	2	1	no	—
345	C₂²	—	4	2	no	—
346	C₂²	—	4	2	no	—
347	C₂²	—	4	2	no	—
348	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
349	C₄	—	2	1	no	—
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	2	1	no	—
353	C₄	—	4	2	no	—
354	C₄	—	4	2	no	—
355	C₄	—	4	2	no	—
356	C₄	C₁₁×#568	1	1	yes	characteristic
357	C₄	C₁₁×#568	1	1	yes	characteristic
358	C₄	C₁₁×#576	1	1	yes	characteristic
359	C₄	C₁₁×#578	1	1	yes	characteristic
360	C₂	—	4	1	no	—
361	C₂	—	8	2	no	—
362	C₂	C₁₁×#2932	1	1	yes	characteristic
363	C₂	C₁₁×#2951	1	1	yes	characteristic
364	C₂	C₁₁×#2957	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	C₁₁×#466	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
2. C₁₁×#2993	C₂	semidirect
3. C₁₁×#1588	C₂	semidirect
4. C₁₁×#1585	C₂	semidirect
5. C₁₁×#1584	C₂	semidirect
6. C₁₁×#1581	C₂	semidirect
7. C₁₁×#1567	C₂	semidirect
8. C₁₁×#1495	C₂	semidirect
9. C₁₁×#1452	C₂	semidirect
87. #17992	C₁₁	direct (N × H)
129. #2993	C₂×C₁₁	semidirect
130. #1588	C₂×C₁₁	semidirect
131. #1585	C₂×C₁₁	semidirect
132. #1584	C₂×C₁₁	semidirect
133. #1581	C₂×C₁₁	semidirect
134. #1567	C₂×C₁₁	semidirect
135. #1495	C₂×C₁₁	semidirect
136. #1452	C₂×C₁₁	semidirect
309. C₁₁	#17992	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×#3168	2
C₁₁×#2993	2
C₁₁×#1588	2
C₁₁×#1585	2
C₁₁×#1584	2
C₁₁×#1581	2
C₁₁×#1567	2
C₁₁×#1495	2
C₁₁×#1452	2
#17992	11

Subgroups — C11×#17992 #14595185

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#17992 #14595185