Subgroups — C₁₁×#18055 #14595248

Order 2816.

660 conjugacy classes of subgroups.

The subgroup lattice has 348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2990	C₂	1	2	yes	maximal, complemented
2	C₄×C₁₁×#135	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#1591	C₂	1	2	yes	maximal, complemented
4	C₁₁×#1585	C₂	1	4	yes	maximal, complemented
5	C₈×C₁₁×D₈	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1567	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1489	C₂	1	2	yes	maximal, complemented
8	C₈×C₁₁×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₁×#135	C₄	1	1	yes	characteristic
10	C₄×C₁₁×#41	C₂²	1	2	yes	—
11	C₁₁×#446	C₂²	1	4	yes	—
12	C₄×C₁₁×Q₁₆	C₄	1	1	yes	characteristic
13	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
14	C₄×C₁₁×SD₁₆	C₄	1	2	yes	—
15	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
16	C₄×C₁₁×D₈	C₄	1	1	yes	characteristic
17	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
18	C₁₁×#435	—	2	4	no	—
19	C₈×D₄×C₁₁	C₂²	1	4	yes	—
20	C₁₁×#432	—	2	2	no	—
21	C₁₁×#431	C₂²	1	1	yes	characteristic
22	C₁₁×#427	C₄	1	1	yes	characteristic
23	C₁₁×#423	C₂²	1	2	yes	—
24	C₂×C₁₁×C₄⋊C₈	—	2	2	no	—
25	C₁₁×#416	C₄	1	2	yes	—
26	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
28	C₁₁×#335	C₂²	1	2	yes	—
29	C₁₁×#335	C₂²	1	2	yes	—
30	C₁₁×Q₈⋊C₈	C₂²	1	4	yes	—
31	C₁₁×D₄⋊C₈	C₂²	1	4	yes	—
32	C₁₁×#322	C₂²	1	2	yes	—
33	C₈²×C₁₁	C₂²	1	2	yes	—
34	C₂×C₁₁×#41	C₂×C₄	1	2	yes	—
35	C₁₁×#135	—	2	4	no	—
36	C₂×C₁₁×Q₁₆	C₂×C₄	1	1	yes	characteristic
37	C₂×C₁₁×SD₁₆	C₂×C₄	1	2	yes	—
38	C₂×C₁₁×D₈	C₂×C₄	1	1	yes	characteristic
39	C₂×C₁₁×M₁₆	—	2	1	no	—
40	C₂×C₁₁×M₁₆	—	2	2	no	—
41	C₂²×C₈×C₁₁	—	2	4	no	—
42	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
43	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
44	C₄×Q₈×C₁₁	C₂×C₄	1	2	yes	—
45	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
46	C₄×D₄×C₁₁	—	2	2	no	—
47	C₄×D₄×C₁₁	—	2	2	no	—
48	C₄×D₄×C₁₁	C₂×C₄	1	2	yes	—
49	C₄×D₄×C₁₁	C₂³	1	2	yes	—
50	C₁₁×#117	—	2	2	no	—
51	C₁₁×#117	C₂×C₄	1	2	yes	—
52	C₂×C₄²×C₁₁	—	2	2	no	—
53	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
54	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
55	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
56	C₁₁×#106	C₂×C₄	1	2	yes	—
57	C₁₁×C₄⋊C₈	—	2	4	no	—
58	C₁₁×C₄⋊C₈	—	2	2	no	—
59	C₁₁×C₄⋊C₈	D₄	1	1	yes	characteristic
60	C₁₁×C₄⋊C₈	D₄	1	1	yes	characteristic
61	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
62	C₁₁×#103	C₂×C₄	1	2	yes	—
63	C₁₁×#103	C₂×C₄	1	2	yes	—
64	C₁₁×#102	C₂×C₄	1	2	yes	—
65	C₁₁×#102	C₂×C₄	1	2	yes	—
66	C₁₁×C₂²⋊C₈	—	2	4	no	—
67	C₁₁×C₂²⋊C₈	D₄	1	2	yes	—
68	C₁₁×#97	—	2	4	no	—
69	C₁₁×#97	—	2	1	no	—
70	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
71	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
72	C₄×C₈×C₁₁	C₂³	1	2	yes	—
73	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
74	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
75	C₄×C₈×C₁₁	C₂³	1	2	yes	—
76	#18055	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
77	C₁₁×#41	—	2	4	no	—
78	C₁₁×#41	—	4	2	no	—
79	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
80	C₂×D₄×C₁₁	—	2	2	no	—
81	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
82	C₂²×C₄×C₁₁	—	2	2	no	—
83	C₂²×C₄×C₁₁	—	2	2	no	—
84	C₂²×C₄×C₁₁	—	2	2	no	—
85	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
88	C₁₁×Q₁₆	—	2	2	no	—
89	C₁₁×SD₁₆	—	2	4	no	—
90	C₁₁×D₈	M₁₆	1	4	yes	complemented
91	C₁₁×M₁₆	—	2	4	no	—
92	C₁₁×M₁₆	—	8	2	no	—
93	C₂×C₈×C₁₁	—	2	2	no	—
94	C₂×C₈×C₁₁	—	2	4	no	—
95	C₂×C₈×C₁₁	—	2	2	no	—
96	C₂×C₈×C₁₁	—	4	1	no	—
97	C₂×C₈×C₁₁	—	8	4	no	—
98	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
100	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
101	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
102	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
103	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
104	C₁₁×C₄⋊C₄	—	2	2	no	—
105	C₁₁×C₄⋊C₄	—	2	2	no	—
106	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
107	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
108	C₁₁×C₂²⋊C₄	—	2	2	no	—
109	C₁₁×C₂²⋊C₄	—	2	2	no	—
110	C₁₁×C₂²⋊C₄	—	2	2	no	—
111	C₄²×C₁₁	—	2	2	no	—
112	C₄²×C₁₁	—	2	2	no	—
113	C₄²×C₁₁	—	2	2	no	—
114	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
115	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₁₁	#41	1	1	yes	characteristic
117	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
118	#2990	C₂×C₁₁	1	2	yes	complemented
119	C₄×#135	C₂×C₁₁	1	1	yes	characteristic
120	#1591	C₂×C₁₁	1	2	yes	complemented
121	#1585	C₂×C₁₁	1	4	yes	complemented
122	C₈×D₈	C₂×C₁₁	1	2	yes	complemented
123	#1567	C₂×C₁₁	1	1	yes	characteristic, complemented
124	#1489	C₂×C₁₁	1	2	yes	complemented
125	C₈×M₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
126	C₂³×C₁₁	—	2	2	no	—
127	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
128	Q₈×C₁₁	—	2	2	no	—
129	Q₈×C₁₁	—	2	2	no	—
130	D₄×C₁₁	—	2	2	no	—
131	D₄×C₁₁	—	4	4	no	—
132	D₄×C₁₁	C₂×M₁₆	1	4	yes	—
133	C₂×C₄×C₁₁	—	2	1	no	—
134	C₂×C₄×C₁₁	—	2	1	no	—
135	C₂×C₄×C₁₁	—	2	1	no	—
136	C₂×C₄×C₁₁	—	2	1	no	—
137	C₂×C₄×C₁₁	—	2	2	no	—
138	C₂×C₄×C₁₁	—	2	2	no	—
139	C₂×C₄×C₁₁	—	2	2	no	—
140	C₂×C₄×C₁₁	—	2	2	no	—
141	C₂×C₄×C₁₁	—	4	4	no	—
142	C₂×C₄×C₁₁	—	4	2	no	—
143	C₂×C₄×C₁₁	—	4	2	no	—
144	C₂×C₄×C₁₁	—	4	4	no	—
145	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
146	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
147	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
148	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
151	C₈×C₁₁	—	2	4	no	—
152	C₈×C₁₁	—	2	1	no	—
153	C₈×C₁₁	—	2	1	no	—
154	C₈×C₁₁	—	2	1	no	—
155	C₈×C₁₁	—	2	2	no	—
156	C₈×C₁₁	—	2	2	no	—
157	C₈×C₁₁	—	4	4	no	—
158	C₈×C₁₁	C₂×M₁₆	1	2	yes	—
159	C₂×#135	C₄×C₁₁	1	1	yes	characteristic
160	C₄×#41	C₂²×C₁₁	1	2	yes	—
161	#446	C₂²×C₁₁	1	4	yes	—
162	C₄×Q₁₆	C₄×C₁₁	1	1	yes	characteristic
163	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
164	C₄×SD₁₆	C₄×C₁₁	1	2	yes	—
165	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
166	C₄×D₈	C₄×C₁₁	1	1	yes	characteristic
167	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
168	#435	—	2	4	no	—
169	C₈×D₄	C₂²×C₁₁	1	4	yes	—
170	#432	—	2	2	no	—
171	#431	C₂²×C₁₁	1	1	yes	characteristic
172	#427	C₄×C₁₁	1	1	yes	characteristic
173	#423	C₂²×C₁₁	1	2	yes	—
174	C₂×C₄⋊C₈	—	2	2	no	—
175	#416	C₄×C₁₁	1	2	yes	—
176	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
177	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
178	#335	C₂²×C₁₁	1	2	yes	—
179	#335	C₂²×C₁₁	1	2	yes	—
180	Q₈⋊C₈	C₂²×C₁₁	1	4	yes	—
181	D₄⋊C₈	C₂²×C₁₁	1	4	yes	—
182	#322	C₂²×C₁₁	1	2	yes	—
183	C₈²	C₂²×C₁₁	1	2	yes	—
184	C₂²×C₁₁	—	2	1	no	—
185	C₂²×C₁₁	—	2	4	no	—
186	C₂²×C₁₁	—	2	1	no	—
187	C₂²×C₁₁	—	2	1	no	—
188	C₂²×C₁₁	—	4	2	no	—
189	C₂²×C₁₁	—	4	2	no	—
190	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
191	C₄×C₁₁	—	2	1	no	—
192	C₄×C₁₁	—	2	1	no	—
193	C₄×C₁₁	—	2	1	no	—
194	C₄×C₁₁	—	4	2	no	—
195	C₄×C₁₁	—	4	2	no	—
196	C₄×C₁₁	—	4	2	no	—
197	C₄×C₁₁	#443	1	2	yes	—
198	C₄×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
199	C₄×C₁₁	#568	1	1	yes	characteristic
200	C₄×C₁₁	#576	1	1	yes	characteristic
201	C₄×C₁₁	#578	1	1	yes	characteristic
202	C₂×#41	C₂×C₄×C₁₁	1	2	yes	—
203	#135	—	2	4	no	—
204	C₂×Q₁₆	C₂×C₄×C₁₁	1	1	yes	characteristic
205	C₂×SD₁₆	C₂×C₄×C₁₁	1	2	yes	—
206	C₂×D₈	C₂×C₄×C₁₁	1	1	yes	characteristic
207	C₂×M₁₆	—	2	1	no	—
208	C₂×M₁₆	—	2	2	no	—
209	C₂²×C₈	—	2	4	no	—
210	C₂²×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
211	C₂²×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
212	C₄×Q₈	C₂×C₄×C₁₁	1	2	yes	—
213	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
214	C₄×D₄	—	2	2	no	—
215	C₄×D₄	—	2	2	no	—
216	C₄×D₄	C₂×C₄×C₁₁	1	2	yes	—
217	C₄×D₄	C₂³×C₁₁	1	2	yes	—
218	#117	—	2	2	no	—
219	#117	C₂×C₄×C₁₁	1	2	yes	—
220	C₂×C₄²	—	2	2	no	—
221	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
222	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
223	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
224	#106	C₂×C₄×C₁₁	1	2	yes	—
225	C₄⋊C₈	—	2	4	no	—
226	C₄⋊C₈	—	2	2	no	—
227	C₄⋊C₈	D₄×C₁₁	1	1	yes	characteristic
228	C₄⋊C₈	D₄×C₁₁	1	1	yes	characteristic
229	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
230	#103	C₂×C₄×C₁₁	1	2	yes	—
231	#103	C₂×C₄×C₁₁	1	2	yes	—
232	#102	C₂×C₄×C₁₁	1	2	yes	—
233	#102	C₂×C₄×C₁₁	1	2	yes	—
234	C₂²⋊C₈	—	2	4	no	—
235	C₂²⋊C₈	D₄×C₁₁	1	2	yes	—
236	#97	—	2	4	no	—
237	#97	—	2	1	no	—
238	C₄×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
239	C₄×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
240	C₄×C₈	C₂³×C₁₁	1	2	yes	—
241	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
242	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
243	C₄×C₈	C₂³×C₁₁	1	2	yes	—
244	C₂×C₁₁	—	4	1	no	—
245	C₂×C₁₁	—	4	4	no	—
246	C₂×C₁₁	D₄×M₁₆	1	1	yes	characteristic
247	C₂×C₁₁	#2951	1	1	yes	characteristic
248	C₂×C₁₁	C₂×#443	1	1	yes	characteristic
249	#41	—	2	4	no	—
250	#41	—	4	2	no	—
251	C₂×Q₈	C₂²×C₄×C₁₁	1	2	yes	—
252	C₂×D₄	—	2	2	no	—
253	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
254	C₂²×C₄	—	2	2	no	—
255	C₂²×C₄	—	2	2	no	—
256	C₂²×C₄	—	2	2	no	—
257	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
258	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
259	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
260	Q₁₆	—	2	2	no	—
261	SD₁₆	—	2	4	no	—
262	D₈	C₁₁×M₁₆	1	4	yes	complemented
263	M₁₆	—	2	4	no	—
264	M₁₆	—	8	2	no	—
265	C₂×C₈	—	2	2	no	—
266	C₂×C₈	—	2	2	no	—
267	C₂×C₈	—	2	4	no	—
268	C₂×C₈	—	4	1	no	—
269	C₂×C₈	—	8	4	no	—
270	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
271	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
272	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
273	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
274	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
275	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
276	C₄⋊C₄	—	2	2	no	—
277	C₄⋊C₄	—	2	2	no	—
278	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
279	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
280	C₂²⋊C₄	—	2	2	no	—
281	C₂²⋊C₄	—	2	2	no	—
282	C₂²⋊C₄	—	2	2	no	—
283	C₄²	—	2	2	no	—
284	C₄²	—	2	2	no	—
285	C₄²	—	2	2	no	—
286	C₄²	C₂²×C₄×C₁₁	1	1	yes	characteristic
287	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
288	C₄²	C₁₁×#41	1	1	yes	characteristic
289	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
290	C₁₁	#18055	1	1	yes	characteristic, direct product factor, Sylow
291	C₂³	—	2	2	no	—
292	C₂³	C₄×D₄×C₁₁	1	1	yes	characteristic
293	Q₈	—	2	2	no	—
294	Q₈	—	2	2	no	—
295	D₄	—	2	2	no	—
296	D₄	—	4	4	no	—
297	D₄	C₂×C₁₁×M₁₆	1	4	yes	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	2	1	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	—	4	4	no	—
307	C₂×C₄	—	4	2	no	—
308	C₂×C₄	—	4	2	no	—
309	C₂×C₄	—	4	4	no	—
310	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
311	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
312	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
313	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
314	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
315	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
316	C₈	—	2	4	no	—
317	C₈	—	2	1	no	—
318	C₈	—	2	1	no	—
319	C₈	—	2	1	no	—
320	C₈	—	2	2	no	—
321	C₈	—	2	2	no	—
322	C₈	—	4	4	no	—
323	C₈	C₂×C₁₁×M₁₆	1	2	yes	—
324	C₂²	—	2	1	no	—
325	C₂²	—	2	4	no	—
326	C₂²	—	2	1	no	—
327	C₂²	—	2	1	no	—
328	C₂²	—	4	2	no	—
329	C₂²	—	4	2	no	—
330	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
331	C₄	—	2	1	no	—
332	C₄	—	2	1	no	—
333	C₄	—	2	1	no	—
334	C₄	—	4	2	no	—
335	C₄	—	4	2	no	—
336	C₄	—	4	2	no	—
337	C₄	C₁₁×#443	1	2	yes	—
338	C₄	C₂²×C₁₁×M₁₆	1	1	yes	characteristic
339	C₄	C₁₁×#568	1	1	yes	characteristic
340	C₄	C₁₁×#576	1	1	yes	characteristic
341	C₄	C₁₁×#578	1	1	yes	characteristic
342	C₂	—	4	1	no	—
343	C₂	—	4	4	no	—
344	C₂	D₄×C₁₁×M₁₆	1	1	yes	characteristic
345	C₂	C₁₁×#2951	1	1	yes	characteristic
346	C₂	C₂×C₁₁×#443	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	C₂×C₁₁×#135	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
1. C₁₁×#2990	C₂	semidirect
3. C₁₁×#1591	C₂	semidirect
4. C₁₁×#1585	C₂	semidirect
5. C₈×C₁₁×D₈	C₂	semidirect
6. C₁₁×#1567	C₂	semidirect
7. C₁₁×#1489	C₂	semidirect
8. C₈×C₁₁×M₁₆	C₂	semidirect
76. #18055	C₁₁	direct (N × H)
90. C₁₁×D₈	M₁₆	semidirect
118. #2990	C₂×C₁₁	semidirect
120. #1591	C₂×C₁₁	semidirect
121. #1585	C₂×C₁₁	semidirect
122. C₈×D₈	C₂×C₁₁	semidirect
123. #1567	C₂×C₁₁	semidirect
124. #1489	C₂×C₁₁	semidirect
125. C₈×M₁₆	C₂×C₁₁	semidirect
262. D₈	C₁₁×M₁₆	semidirect
290. C₁₁	#18055	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×#2990	2
C₄×C₁₁×#135	2
C₁₁×#1591	2
C₁₁×#1585	2
C₈×C₁₁×D₈	2
C₁₁×#1567	2
C₁₁×#1489	2
C₈×C₁₁×M₁₆	2
#18055	11

Subgroups — C11×#18055 #14595248

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#18055 #14595248