Subgroups — C₁₁×#8149 #14585342

Order 2816.

554 conjugacy classes of subgroups.

The subgroup lattice has 356 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	C₄×C₁₁×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic
3	C₄×C₁₁×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic
4	C₂×C₁₁×#322	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₁×#322	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#1273	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1273	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
9	C₁₁×#431	—	2	2	no	—
10	C₁₁×#431	—	2	2	no	—
11	C₂×C₁₁×C₄⋊C₈	C₄	1	2	yes	—
12	C₂×C₁₁×C₂²⋊C₈	C₄	1	2	yes	—
13	C₂×C₁₁×C₂²⋊C₈	C₄	1	2	yes	—
14	C₂×C₁₁×C₂²⋊C₈	C₄	1	2	yes	—
15	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
16	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
17	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
18	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
19	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
20	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
21	C₁₁×#336	C₄	1	2	yes	—
22	C₁₁×#336	C₄	1	2	yes	—
23	C₁₁×#322	—	2	2	no	—
24	C₁₁×#322	—	2	2	no	—
25	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
26	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
27	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
28	C₂²×C₈×C₁₁	C₂×C₄	1	2	yes	—
29	C₂²×C₈×C₁₁	C₂×C₄	1	2	yes	—
30	C₂²×C₈×C₁₁	C₂×C₄	1	2	yes	—
31	C₂²×C₈×C₁₁	C₂×C₄	1	2	yes	—
32	C₂²×C₈×C₁₁	C₂×C₄	1	2	yes	—
33	C₂²×C₈×C₁₁	C₂×C₄	1	2	yes	—
34	C₂×C₄²×C₁₁	—	2	1	no	—
35	C₂×C₄²×C₁₁	—	2	1	no	—
36	C₂×C₄²×C₁₁	—	2	1	no	—
37	C₂×C₄²×C₁₁	—	2	1	no	—
38	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
39	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
40	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
41	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
42	C₁₁×C₄⋊C₈	—	2	4	no	—
43	C₁₁×C₂²⋊C₈	—	2	4	no	—
44	C₁₁×C₂²⋊C₈	—	2	4	no	—
45	C₁₁×C₂²⋊C₈	—	2	4	no	—
46	C₄×C₈×C₁₁	—	2	1	no	—
47	C₄×C₈×C₁₁	—	2	1	no	—
48	C₄×C₈×C₁₁	—	2	1	no	—
49	C₄×C₈×C₁₁	—	2	1	no	—
50	C₄×C₈×C₁₁	—	2	1	no	—
51	C₄×C₈×C₁₁	—	2	1	no	—
52	C₄×C₈×C₁₁	—	2	1	no	—
53	C₄×C₈×C₁₁	—	2	1	no	—
54	C₄×C₈×C₁₁	—	2	1	no	—
55	C₄×C₈×C₁₁	—	2	1	no	—
56	C₄×C₈×C₁₁	D₄	1	2	yes	—
57	C₄×C₈×C₁₁	D₄	1	2	yes	—
58	#8149	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
59	C₂⁴×C₁₁	C₄²	1	1	yes	characteristic
60	C₂²×C₄×C₁₁	—	2	1	no	—
61	C₂²×C₄×C₁₁	—	2	1	no	—
62	C₂²×C₄×C₁₁	—	2	2	no	—
63	C₂²×C₄×C₁₁	—	2	1	no	—
64	C₂²×C₄×C₁₁	—	2	1	no	—
65	C₂²×C₄×C₁₁	—	2	1	no	—
66	C₂²×C₄×C₁₁	—	2	1	no	—
67	C₂²×C₄×C₁₁	—	2	2	no	—
68	C₂²×C₄×C₁₁	—	2	2	no	—
69	C₂²×C₄×C₁₁	—	2	2	no	—
70	C₂²×C₄×C₁₁	—	2	2	no	—
71	C₂²×C₄×C₁₁	C₄²	1	1	yes	characteristic
72	C₂²×C₄×C₁₁	C₄²	1	1	yes	characteristic
73	C₂²×C₄×C₁₁	C₄²	1	1	yes	characteristic
74	C₂²×C₄×C₁₁	M₁₆	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	C₂²×C₄	1	1	yes	characteristic
78	C₂×C₈×C₁₁	—	2	2	no	—
79	C₂×C₈×C₁₁	—	2	2	no	—
80	C₂×C₈×C₁₁	—	2	2	no	—
81	C₂×C₈×C₁₁	—	2	2	no	—
82	C₂×C₈×C₁₁	—	2	2	no	—
83	C₂×C₈×C₁₁	—	2	2	no	—
84	C₂×C₈×C₁₁	—	2	2	no	—
85	C₂×C₈×C₁₁	—	2	2	no	—
86	C₂×C₈×C₁₁	—	2	2	no	—
87	C₂×C₈×C₁₁	—	2	2	no	—
88	C₂×C₈×C₁₁	—	2	2	no	—
89	C₂×C₈×C₁₁	—	2	2	no	—
90	C₂×C₈×C₁₁	—	2	2	no	—
91	C₂×C₈×C₁₁	—	2	2	no	—
92	C₂×C₈×C₁₁	—	2	2	no	—
93	C₂×C₈×C₁₁	—	2	2	no	—
94	C₂×C₈×C₁₁	C₂²⋊C₄	1	4	yes	—
95	C₂×C₈×C₁₁	M₁₆	1	4	yes	—
96	C₄²×C₁₁	—	2	1	no	—
97	C₄²×C₁₁	—	2	1	no	—
98	C₄²×C₁₁	—	2	1	no	—
99	C₄²×C₁₁	—	2	1	no	—
100	C₄²×C₁₁	—	2	1	no	—
101	C₄²×C₁₁	—	2	1	no	—
102	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
103	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
104	C₄²×C₁₁	#41	1	1	yes	characteristic
105	C₄²×C₁₁	#41	1	1	yes	characteristic
106	C₂×#431	C₂×C₁₁	1	1	yes	characteristic
107	C₄×C₂²⋊C₈	C₂×C₁₁	1	1	yes	characteristic
108	C₄×C₂²⋊C₈	C₂×C₁₁	1	1	yes	characteristic
109	C₂×#322	C₂×C₁₁	1	1	yes	characteristic, complemented
110	C₂×#322	C₂×C₁₁	1	1	yes	characteristic, complemented
111	#1273	C₂×C₁₁	1	1	yes	characteristic, complemented
112	#1273	C₂×C₁₁	1	1	yes	characteristic, complemented
113	C₂³×C₁₁	—	2	1	no	—
114	C₂³×C₁₁	—	2	1	no	—
115	C₂³×C₁₁	—	2	1	no	—
116	C₂³×C₁₁	—	2	1	no	—
117	C₂³×C₁₁	—	2	1	no	—
118	C₂³×C₁₁	—	2	1	no	—
119	C₂³×C₁₁	#97	1	2	yes	—
120	C₂³×C₁₁	C₂×C₄²	1	1	yes	characteristic
121	C₂×C₄×C₁₁	—	2	1	no	—
122	C₂×C₄×C₁₁	—	2	1	no	—
123	C₂×C₄×C₁₁	—	2	4	no	—
124	C₂×C₄×C₁₁	—	2	4	no	—
125	C₂×C₄×C₁₁	—	2	1	no	—
126	C₂×C₄×C₁₁	—	2	1	no	—
127	C₂×C₄×C₁₁	—	2	1	no	—
128	C₂×C₄×C₁₁	—	2	1	no	—
129	C₂×C₄×C₁₁	—	2	1	no	—
130	C₂×C₄×C₁₁	—	2	1	no	—
131	C₂×C₄×C₁₁	—	4	2	no	—
132	C₂×C₄×C₁₁	—	4	2	no	—
133	C₂×C₄×C₁₁	—	4	2	no	—
134	C₂×C₄×C₁₁	—	4	2	no	—
135	C₂×C₄×C₁₁	#97	1	2	yes	—
136	C₂×C₄×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
137	C₂×C₄×C₁₁	#117	1	1	yes	characteristic
138	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
139	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
140	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
141	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
142	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
143	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
144	C₂×C₄×C₁₁	#131	1	2	yes	—
145	C₂×C₄×C₁₁	#131	1	2	yes	—
146	C₂×C₄×C₁₁	#131	1	2	yes	—
147	C₂×C₄×C₁₁	#131	1	2	yes	—
148	C₈×C₁₁	—	2	4	no	—
149	C₈×C₁₁	—	2	4	no	—
150	C₈×C₁₁	—	4	2	no	—
151	C₈×C₁₁	—	4	2	no	—
152	C₈×C₁₁	—	4	2	no	—
153	C₈×C₁₁	—	4	2	no	—
154	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
155	#431	—	2	2	no	—
156	#431	—	2	2	no	—
157	C₂×C₄⋊C₈	C₄×C₁₁	1	2	yes	—
158	C₂×C₂²⋊C₈	C₄×C₁₁	1	2	yes	—
159	C₂×C₂²⋊C₈	C₄×C₁₁	1	2	yes	—
160	C₂×C₂²⋊C₈	C₄×C₁₁	1	2	yes	—
161	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
162	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
163	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
164	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
165	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
166	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
167	#336	C₄×C₁₁	1	2	yes	—
168	#336	C₄×C₁₁	1	2	yes	—
169	#322	—	2	2	no	—
170	#322	—	2	2	no	—
171	C₂²×C₁₁	—	2	2	no	—
172	C₂²×C₁₁	—	2	2	no	—
173	C₂²×C₁₁	—	2	2	no	—
174	C₂²×C₁₁	—	4	1	no	—
175	C₂²×C₁₁	—	4	1	no	—
176	C₂²×C₁₁	—	4	1	no	—
177	C₂²×C₁₁	—	4	1	no	—
178	C₂²×C₁₁	C₄×C₂²⋊C₄	1	1	yes	characteristic
179	C₂²×C₁₁	C₂×#97	1	1	yes	characteristic
180	C₂²×C₁₁	C₄×M₁₆	1	1	yes	characteristic
181	C₂²×C₁₁	#405	1	1	yes	characteristic
182	C₂²×C₁₁	#405	1	1	yes	characteristic
183	C₂²×C₁₁	#405	1	1	yes	characteristic
184	C₂²×C₁₁	#405	1	1	yes	characteristic
185	C₄×C₁₁	—	2	2	no	—
186	C₄×C₁₁	—	4	1	no	—
187	C₄×C₁₁	—	4	1	no	—
188	C₄×C₁₁	#408	1	2	yes	—
189	C₄×C₁₁	#433	1	2	yes	—
190	C₄×C₁₁	#435	1	2	yes	—
191	C₄×C₁₁	#435	1	2	yes	—
192	C₄×C₁₁	#435	1	2	yes	—
193	C₄×C₁₁	#436	1	2	yes	—
194	C₂³×C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
195	C₂³×C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
196	C₂³×C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
197	C₂²×C₈	C₂×C₄×C₁₁	1	2	yes	—
198	C₂²×C₈	C₂×C₄×C₁₁	1	2	yes	—
199	C₂²×C₈	C₂×C₄×C₁₁	1	2	yes	—
200	C₂²×C₈	C₂×C₄×C₁₁	1	2	yes	—
201	C₂²×C₈	C₂×C₄×C₁₁	1	2	yes	—
202	C₂²×C₈	C₂×C₄×C₁₁	1	2	yes	—
203	C₂×C₄²	—	2	1	no	—
204	C₂×C₄²	—	2	1	no	—
205	C₂×C₄²	—	2	1	no	—
206	C₂×C₄²	—	2	1	no	—
207	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
208	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
209	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
210	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
211	C₄⋊C₈	—	2	4	no	—
212	C₂²⋊C₈	—	2	4	no	—
213	C₂²⋊C₈	—	2	4	no	—
214	C₂²⋊C₈	—	2	4	no	—
215	C₄×C₈	—	2	1	no	—
216	C₄×C₈	—	2	1	no	—
217	C₄×C₈	—	2	1	no	—
218	C₄×C₈	—	2	1	no	—
219	C₄×C₈	—	2	1	no	—
220	C₄×C₈	—	2	1	no	—
221	C₄×C₈	—	2	1	no	—
222	C₄×C₈	—	2	1	no	—
223	C₄×C₈	—	2	1	no	—
224	C₄×C₈	—	2	1	no	—
225	C₄×C₈	D₄×C₁₁	1	2	yes	—
226	C₄×C₈	D₄×C₁₁	1	2	yes	—
227	C₂×C₁₁	—	4	2	no	—
228	C₂×C₁₁	#1451	1	1	yes	characteristic
229	C₂×C₁₁	#1452	1	1	yes	characteristic
230	C₂×C₁₁	#1453	1	1	yes	characteristic
231	C₂×C₁₁	#1454	1	1	yes	characteristic
232	C₂×C₁₁	#1750	1	1	yes	characteristic
233	C₂×C₁₁	#1752	1	1	yes	characteristic
234	C₂×C₁₁	#1753	1	1	yes	characteristic
235	C₂⁴	C₄²×C₁₁	1	1	yes	characteristic
236	C₂²×C₄	—	2	1	no	—
237	C₂²×C₄	—	2	1	no	—
238	C₂²×C₄	—	2	2	no	—
239	C₂²×C₄	—	2	1	no	—
240	C₂²×C₄	—	2	1	no	—
241	C₂²×C₄	—	2	1	no	—
242	C₂²×C₄	—	2	1	no	—
243	C₂²×C₄	—	2	2	no	—
244	C₂²×C₄	—	2	2	no	—
245	C₂²×C₄	—	2	2	no	—
246	C₂²×C₄	—	2	2	no	—
247	C₂²×C₄	C₄²×C₁₁	1	1	yes	characteristic
248	C₂²×C₄	C₄²×C₁₁	1	1	yes	characteristic
249	C₂²×C₄	C₄²×C₁₁	1	1	yes	characteristic
250	C₂²×C₄	C₁₁×M₁₆	1	4	yes	—
251	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
252	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
253	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
254	C₂×C₈	—	2	2	no	—
255	C₂×C₈	—	2	2	no	—
256	C₂×C₈	—	2	2	no	—
257	C₂×C₈	—	2	2	no	—
258	C₂×C₈	—	2	2	no	—
259	C₂×C₈	—	2	2	no	—
260	C₂×C₈	—	2	2	no	—
261	C₂×C₈	—	2	2	no	—
262	C₂×C₈	—	2	2	no	—
263	C₂×C₈	—	2	2	no	—
264	C₂×C₈	—	2	2	no	—
265	C₂×C₈	—	2	2	no	—
266	C₂×C₈	—	2	2	no	—
267	C₂×C₈	—	2	2	no	—
268	C₂×C₈	—	2	2	no	—
269	C₂×C₈	—	2	2	no	—
270	C₂×C₈	C₁₁×C₂²⋊C₄	1	4	yes	—
271	C₂×C₈	C₁₁×M₁₆	1	4	yes	—
272	C₄²	—	2	1	no	—
273	C₄²	—	2	1	no	—
274	C₄²	—	2	1	no	—
275	C₄²	—	2	1	no	—
276	C₄²	—	2	1	no	—
277	C₄²	—	2	1	no	—
278	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
279	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
280	C₄²	C₁₁×#41	1	1	yes	characteristic
281	C₄²	C₁₁×#41	1	1	yes	characteristic
282	C₁₁	#8149	1	1	yes	characteristic, direct product factor, Sylow
283	C₂³	—	2	1	no	—
284	C₂³	—	2	1	no	—
285	C₂³	—	2	1	no	—
286	C₂³	—	2	1	no	—
287	C₂³	—	2	1	no	—
288	C₂³	—	2	1	no	—
289	C₂³	C₁₁×#97	1	2	yes	—
290	C₂³	C₂×C₄²×C₁₁	1	1	yes	characteristic
291	C₂×C₄	—	2	1	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	4	no	—
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	2	1	no	—
297	C₂×C₄	—	2	1	no	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	4	2	no	—
302	C₂×C₄	—	4	2	no	—
303	C₂×C₄	—	4	2	no	—
304	C₂×C₄	—	4	2	no	—
305	C₂×C₄	C₁₁×#97	1	2	yes	—
306	C₂×C₄	C₂×C₁₁×C₂²⋊C₄	1	1	yes	characteristic
307	C₂×C₄	C₁₁×#117	1	1	yes	characteristic
308	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
309	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
310	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
311	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
312	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
313	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
314	C₂×C₄	C₁₁×#131	1	2	yes	—
315	C₂×C₄	C₁₁×#131	1	2	yes	—
316	C₂×C₄	C₁₁×#131	1	2	yes	—
317	C₂×C₄	C₁₁×#131	1	2	yes	—
318	C₈	—	2	4	no	—
319	C₈	—	2	4	no	—
320	C₈	—	4	2	no	—
321	C₈	—	4	2	no	—
322	C₈	—	4	2	no	—
323	C₈	—	4	2	no	—
324	C₂²	—	2	2	no	—
325	C₂²	—	2	2	no	—
326	C₂²	—	2	2	no	—
327	C₂²	—	4	1	no	—
328	C₂²	—	4	1	no	—
329	C₂²	—	4	1	no	—
330	C₂²	—	4	1	no	—
331	C₂²	C₄×C₁₁×C₂²⋊C₄	1	1	yes	characteristic
332	C₂²	C₂×C₁₁×#97	1	1	yes	characteristic
333	C₂²	C₄×C₁₁×M₁₆	1	1	yes	characteristic
334	C₂²	C₁₁×#405	1	1	yes	characteristic
335	C₂²	C₁₁×#405	1	1	yes	characteristic
336	C₂²	C₁₁×#405	1	1	yes	characteristic
337	C₂²	C₁₁×#405	1	1	yes	characteristic
338	C₄	—	2	2	no	—
339	C₄	—	4	1	no	—
340	C₄	—	4	1	no	—
341	C₄	C₁₁×#408	1	2	yes	—
342	C₄	C₁₁×#433	1	2	yes	—
343	C₄	C₁₁×#435	1	2	yes	—
344	C₄	C₁₁×#435	1	2	yes	—
345	C₄	C₁₁×#435	1	2	yes	—
346	C₄	C₁₁×#436	1	2	yes	—
347	C₂	—	4	2	no	—
348	C₂	C₁₁×#1451	1	1	yes	characteristic
349	C₂	C₁₁×#1452	1	1	yes	characteristic
350	C₂	C₁₁×#1453	1	1	yes	characteristic
351	C₂	C₁₁×#1454	1	1	yes	characteristic
352	C₂	C₁₁×#1750	1	1	yes	characteristic
353	C₂	C₁₁×#1752	1	1	yes	characteristic
354	C₂	C₁₁×#1753	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄²×C₁₁	C₂³
commutator	C₂³	C₂×C₄²×C₁₁
Frattini, cosocle	C₂×C₄²	C₂³×C₁₁
socle	C₂³×C₁₁	C₂×C₄²
prime radical	C₂⁴×C₁₁	C₄²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂×C₄²×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₂×C₁₁×#322	C₂	semidirect
5. C₂×C₁₁×#322	C₂	semidirect
6. C₁₁×#1273	C₂	semidirect
7. C₁₁×#1273	C₂	semidirect
58. #8149	C₁₁	direct (N × H)
109. C₂×#322	C₂×C₁₁	semidirect
110. C₂×#322	C₂×C₁₁	semidirect
111. #1273	C₂×C₁₁	semidirect
112. #1273	C₂×C₁₁	semidirect
282. C₁₁	#8149	direct (N × H)

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
C₄×C₁₁×C₂²⋊C₈	2
C₂×C₁₁×#322	2
C₁₁×#1273	2
#8149	11

Subgroups — C11×#8149 #14585342

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#8149 #14585342