Subgroups — C₁₁×#33719 #14610912

Order 2816.

834 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×#510	C₂	1	2	yes	maximal, complemented
2	C₂×C₁₁×#509	C₂	1	2	yes	maximal, complemented
3	C₁₁×#3147	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₁×#495	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#2251	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2250	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2249	C₂	1	4	yes	maximal, complemented
8	C₄×C₁₁×M₃₂	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₁×#135	—	2	1	no	—
10	C₂×C₁₁×#135	C₂²	1	2	yes	—
11	C₂²×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
12	C₂²×C₁₁×SD₁₆	—	2	1	no	—
13	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
14	C₁₁×#532	—	2	1	no	—
15	C₂×C₁₁×#124	—	2	1	no	—
16	C₁₁×#510	—	2	8	no	—
17	C₁₁×#509	—	2	8	no	—
18	C₂×C₁₁×Q₃₂	C₂²	1	4	yes	complemented
19	C₂×C₁₁×SD₃₂	C₂²	1	4	yes	—
20	C₂×C₁₁×SD₃₂	C₂²	1	4	yes	complemented
21	C₂×C₁₁×D₁₆	C₂²	1	4	yes	—
22	C₂×C₁₁×M₃₂	C₂²	1	2	yes	—
23	C₁₁×#495	—	2	1	no	—
24	C₁₁×#495	—	2	1	no	—
25	C₁₁×#495	—	2	1	no	—
26	C₁₁×#495	C₂²	1	2	yes	—
27	C₁₁×#495	C₂²	1	2	yes	—
28	C₁₁×#495	C₂²	1	2	yes	complemented
29	C₁₁×#494	C₂²	1	1	yes	characteristic, complemented
30	C₁₁×#493	C₂²	1	1	yes	characteristic, complemented
31	C₁₁×#492	—	2	1	no	—
32	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
33	C₁₁×#346	C₂²	1	2	yes	complemented
34	C₄×C₁₁×C₁₆	C₂²	1	2	yes	complemented
35	C₂×C₁₁×#41	—	2	2	no	—
36	C₂²×Q₈×C₁₁	—	2	1	no	—
37	C₂²×D₄×C₁₁	—	2	1	no	—
38	C₁₁×#135	—	2	4	no	—
39	C₁₁×#135	—	2	4	no	—
40	C₁₁×#135	—	4	4	no	—
41	C₂×C₁₁×Q₁₆	—	2	4	no	—
42	C₂×C₁₁×Q₁₆	—	2	1	no	—
43	C₂×C₁₁×Q₁₆	—	2	1	no	—
44	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
45	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
46	C₂×C₁₁×SD₁₆	—	2	2	no	—
47	C₂×C₁₁×SD₁₆	—	2	2	no	—
48	C₂×C₁₁×SD₁₆	—	2	2	no	—
49	C₂×C₁₁×SD₁₆	—	2	2	no	—
50	C₂×C₁₁×SD₁₆	—	4	4	no	—
51	C₂×C₁₁×D₈	—	2	4	no	—
52	C₂×C₁₁×D₈	—	2	1	no	—
53	C₂×C₁₁×D₈	—	2	1	no	—
54	C₂×C₁₁×D₈	C₂³	1	2	yes	—
55	C₂×C₁₁×D₈	C₂³	1	2	yes	—
56	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
57	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
58	C₁₁×C₄⋊Q₈	—	2	1	no	—
59	C₁₁×#127	—	2	1	no	—
60	C₁₁×#124	—	2	2	no	—
61	C₁₁×#124	—	2	2	no	—
62	C₁₁×#124	—	2	2	no	—
63	C₁₁×#124	—	4	2	no	—
64	C₁₁×#121	—	4	2	no	—
65	C₄×D₄×C₁₁	—	4	2	no	—
66	C₂×C₁₁×C₂²⋊C₄	—	4	2	no	—
67	C₂×C₄²×C₁₁	D₄	1	1	yes	characteristic
68	C₁₁×Q₃₂	—	2	8	no	—
69	C₁₁×SD₃₂	—	2	8	no	—
70	C₁₁×SD₃₂	—	2	8	no	—
71	C₁₁×D₁₆	—	2	8	no	—
72	C₁₁×M₃₂	D₄	1	8	yes	complemented
73	C₂×C₁₁×C₁₆	C₂³	1	4	yes	—
74	C₄×C₈×C₁₁	D₄	1	1	yes	characteristic
75	C₄×C₈×C₁₁	D₄	1	1	yes	characteristic
76	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
77	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
78	#33719	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
79	C₂⁴×C₁₁	—	4	1	no	—
80	C₁₁×#41	—	4	4	no	—
81	C₁₁×#41	—	4	4	no	—
82	C₂×Q₈×C₁₁	—	2	2	no	—
83	C₂×Q₈×C₁₁	—	2	2	no	—
84	C₂×Q₈×C₁₁	—	4	1	no	—
85	C₂×Q₈×C₁₁	—	4	2	no	—
86	C₂×Q₈×C₁₁	—	4	2	no	—
87	C₂×D₄×C₁₁	—	2	2	no	—
88	C₂×D₄×C₁₁	—	2	2	no	—
89	C₂×D₄×C₁₁	—	4	2	no	—
90	C₂×D₄×C₁₁	—	4	2	no	—
91	C₂×D₄×C₁₁	—	4	2	no	—
92	C₂×D₄×C₁₁	—	4	2	no	—
93	C₂×D₄×C₁₁	—	4	1	no	—
94	C₂²×C₄×C₁₁	—	4	1	no	—
95	C₂²×C₄×C₁₁	—	4	2	no	—
96	C₂²×C₄×C₁₁	D₈	1	2	yes	—
97	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
98	C₁₁×Q₁₆	—	2	2	no	—
99	C₁₁×Q₁₆	—	2	4	no	—
100	C₁₁×Q₁₆	—	2	2	no	—
101	C₁₁×Q₁₆	—	4	2	no	—
102	C₁₁×Q₁₆	—	4	2	no	—
103	C₁₁×SD₁₆	—	4	4	no	—
104	C₁₁×SD₁₆	—	4	4	no	—
105	C₁₁×SD₁₆	—	4	4	no	—
106	C₁₁×SD₁₆	—	4	4	no	—
107	C₁₁×D₈	—	2	2	no	—
108	C₁₁×D₈	—	2	4	no	—
109	C₁₁×D₈	—	2	2	no	—
110	C₁₁×D₈	—	4	2	no	—
111	C₁₁×D₈	—	4	2	no	—
112	C₂×C₈×C₁₁	D₈	1	4	yes	—
113	C₂×C₈×C₁₁	C₂×D₄	1	4	yes	—
114	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
115	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
116	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
117	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
118	C₁₁×C₄⋊C₄	—	4	2	no	—
119	C₁₁×C₂²⋊C₄	—	4	4	no	—
120	C₁₁×C₂²⋊C₄	—	4	4	no	—
121	C₁₁×C₂²⋊C₄	—	4	4	no	—
122	C₄²×C₁₁	D₈	1	2	yes	—
123	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
125	C₁₁×C₁₆	C₂×D₄	1	8	yes	—
126	C₂×#510	C₂×C₁₁	1	2	yes	complemented
127	C₂×#509	C₂×C₁₁	1	2	yes	complemented
128	#3147	C₂×C₁₁	1	1	yes	characteristic, complemented
129	C₂×#495	C₂×C₁₁	1	1	yes	characteristic, complemented
130	#2251	C₂×C₁₁	1	2	yes	complemented
131	#2250	C₂×C₁₁	1	2	yes	complemented
132	#2249	C₂×C₁₁	1	4	yes	complemented
133	C₄×M₃₂	C₂×C₁₁	1	1	yes	characteristic, complemented
134	C₂³×C₁₁	—	4	2	no	—
135	C₂³×C₁₁	—	4	2	no	—
136	C₂³×C₁₁	—	8	4	no	—
137	C₂³×C₁₁	—	8	2	no	—
138	C₂³×C₁₁	C₂×D₈	1	1	yes	characteristic
139	Q₈×C₁₁	—	4	2	no	—
140	Q₈×C₁₁	—	4	2	no	—
141	Q₈×C₁₁	—	4	2	no	—
142	Q₈×C₁₁	—	4	2	no	—
143	Q₈×C₁₁	—	8	2	no	—
144	D₄×C₁₁	—	4	2	no	—
145	D₄×C₁₁	—	4	2	no	—
146	D₄×C₁₁	—	4	2	no	—
147	D₄×C₁₁	—	4	2	no	—
148	D₄×C₁₁	—	8	4	no	—
149	D₄×C₁₁	—	8	4	no	—
150	D₄×C₁₁	—	8	2	no	—
151	C₂×C₄×C₁₁	—	4	2	no	—
152	C₂×C₄×C₁₁	—	4	2	no	—
153	C₂×C₄×C₁₁	—	4	2	no	—
154	C₂×C₄×C₁₁	—	8	2	no	—
155	C₂×C₄×C₁₁	—	8	4	no	—
156	C₂×C₄×C₁₁	#127	1	2	yes	—
157	C₂×C₄×C₁₁	C₂×D₈	1	2	yes	—
158	C₂×C₄×C₁₁	C₂×D₈	1	2	yes	—
159	C₂×C₄×C₁₁	C₂×D₈	1	2	yes	—
160	C₂×C₄×C₁₁	C₂×D₈	1	1	yes	characteristic
161	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
162	C₈×C₁₁	#127	1	2	yes	—
163	C₈×C₁₁	C₂×D₈	1	2	yes	—
164	C₈×C₁₁	C₂×D₈	1	2	yes	—
165	C₈×C₁₁	C₂²×D₄	1	2	yes	—
166	C₂×#135	—	2	1	no	—
167	C₂×#135	C₂²×C₁₁	1	2	yes	—
168	C₂²×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
169	C₂²×SD₁₆	—	2	1	no	—
170	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic
171	#532	—	2	1	no	—
172	C₂×#124	—	2	1	no	—
173	#510	—	2	8	no	—
174	#509	—	2	8	no	—
175	C₂×Q₃₂	C₂²×C₁₁	1	4	yes	complemented
176	C₂×SD₃₂	C₂²×C₁₁	1	4	yes	—
177	C₂×SD₃₂	C₂²×C₁₁	1	4	yes	complemented
178	C₂×D₁₆	C₂²×C₁₁	1	4	yes	—
179	C₂×M₃₂	C₂²×C₁₁	1	2	yes	—
180	#495	—	2	1	no	—
181	#495	—	2	1	no	—
182	#495	—	2	1	no	—
183	#495	C₂²×C₁₁	1	2	yes	—
184	#495	C₂²×C₁₁	1	2	yes	—
185	#495	C₂²×C₁₁	1	2	yes	complemented
186	#494	C₂²×C₁₁	1	1	yes	characteristic, complemented
187	#493	C₂²×C₁₁	1	1	yes	characteristic, complemented
188	#492	—	2	1	no	—
189	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
190	#346	C₂²×C₁₁	1	2	yes	complemented
191	C₄×C₁₆	C₂²×C₁₁	1	2	yes	complemented
192	C₂²×C₁₁	—	2	2	no	—
193	C₂²×C₁₁	—	8	2	no	—
194	C₂²×C₁₁	—	8	2	no	—
195	C₂²×C₁₁	—	8	4	no	—
196	C₂²×C₁₁	—	8	4	no	—
197	C₂²×C₁₁	—	16	4	no	—
198	C₂²×C₁₁	#493	1	2	yes	—
199	C₂²×C₁₁	C₂²×D₈	1	1	yes	characteristic
200	C₄×C₁₁	—	2	2	no	—
201	C₄×C₁₁	—	2	2	no	—
202	C₄×C₁₁	—	8	2	no	—
203	C₄×C₁₁	—	8	2	no	—
204	C₄×C₁₁	#493	1	2	yes	—
205	C₄×C₁₁	C₂×#127	1	1	yes	characteristic
206	C₄×C₁₁	C₂²×D₈	1	1	yes	characteristic
207	C₂×#41	—	2	2	no	—
208	C₂²×Q₈	—	2	1	no	—
209	C₂²×D₄	—	2	1	no	—
210	#135	—	2	4	no	—
211	#135	—	2	4	no	—
212	#135	—	4	4	no	—
213	C₂×Q₁₆	—	2	4	no	—
214	C₂×Q₁₆	—	2	1	no	—
215	C₂×Q₁₆	—	2	1	no	—
216	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
217	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
218	C₂×SD₁₆	—	2	2	no	—
219	C₂×SD₁₆	—	2	2	no	—
220	C₂×SD₁₆	—	2	2	no	—
221	C₂×SD₁₆	—	2	2	no	—
222	C₂×SD₁₆	—	4	4	no	—
223	C₂×D₈	—	2	4	no	—
224	C₂×D₈	—	2	1	no	—
225	C₂×D₈	—	2	1	no	—
226	C₂×D₈	C₂³×C₁₁	1	2	yes	—
227	C₂×D₈	C₂³×C₁₁	1	2	yes	—
228	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
229	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
230	C₄⋊Q₈	—	2	1	no	—
231	#127	—	2	1	no	—
232	#124	—	2	2	no	—
233	#124	—	2	2	no	—
234	#124	—	2	2	no	—
235	#124	—	4	2	no	—
236	#121	—	4	2	no	—
237	C₄×D₄	—	4	2	no	—
238	C₂×C₂²⋊C₄	—	4	2	no	—
239	C₂×C₄²	D₄×C₁₁	1	1	yes	characteristic
240	Q₃₂	—	2	8	no	—
241	SD₃₂	—	2	8	no	—
242	SD₃₂	—	2	8	no	—
243	D₁₆	—	2	8	no	—
244	M₃₂	D₄×C₁₁	1	8	yes	complemented
245	C₂×C₁₆	C₂³×C₁₁	1	4	yes	—
246	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
247	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
248	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
249	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
250	C₂×C₁₁	—	2	2	no	—
251	C₂×C₁₁	—	16	2	no	—
252	C₂×C₁₁	—	16	2	no	—
253	C₂×C₁₁	C₂×#493	1	1	yes	characteristic
254	C₂×C₁₁	#3414	1	2	yes	—
255	C₂⁴	—	4	1	no	—
256	#41	—	4	4	no	—
257	#41	—	4	4	no	—
258	C₂×Q₈	—	2	2	no	—
259	C₂×Q₈	—	2	2	no	—
260	C₂×Q₈	—	4	1	no	—
261	C₂×Q₈	—	4	2	no	—
262	C₂×Q₈	—	4	2	no	—
263	C₂×D₄	—	2	2	no	—
264	C₂×D₄	—	2	2	no	—
265	C₂×D₄	—	4	2	no	—
266	C₂×D₄	—	4	2	no	—
267	C₂×D₄	—	4	2	no	—
268	C₂×D₄	—	4	2	no	—
269	C₂×D₄	—	4	1	no	—
270	C₂²×C₄	—	4	1	no	—
271	C₂²×C₄	—	4	2	no	—
272	C₂²×C₄	C₁₁×D₈	1	2	yes	—
273	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
274	Q₁₆	—	2	2	no	—
275	Q₁₆	—	2	4	no	—
276	Q₁₆	—	2	2	no	—
277	Q₁₆	—	4	2	no	—
278	Q₁₆	—	4	2	no	—
279	SD₁₆	—	4	4	no	—
280	SD₁₆	—	4	4	no	—
281	SD₁₆	—	4	4	no	—
282	SD₁₆	—	4	4	no	—
283	D₈	—	2	2	no	—
284	D₈	—	2	4	no	—
285	D₈	—	2	2	no	—
286	D₈	—	4	2	no	—
287	D₈	—	4	2	no	—
288	C₂×C₈	C₁₁×D₈	1	4	yes	—
289	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
290	C₂×C₈	C₂×D₄×C₁₁	1	4	yes	—
291	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
292	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
293	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
294	C₄⋊C₄	—	4	2	no	—
295	C₂²⋊C₄	—	4	4	no	—
296	C₂²⋊C₄	—	4	4	no	—
297	C₂²⋊C₄	—	4	4	no	—
298	C₄²	C₁₁×D₈	1	2	yes	—
299	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
300	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
301	C₁₆	C₂×D₄×C₁₁	1	8	yes	—
302	C₁₁	#33719	1	1	yes	characteristic, direct product factor, Sylow
303	C₂³	—	4	2	no	—
304	C₂³	—	4	2	no	—
305	C₂³	—	8	4	no	—
306	C₂³	—	8	2	no	—
307	C₂³	C₂×C₁₁×D₈	1	1	yes	characteristic
308	Q₈	—	4	2	no	—
309	Q₈	—	4	2	no	—
310	Q₈	—	4	2	no	—
311	Q₈	—	4	2	no	—
312	Q₈	—	8	2	no	—
313	D₄	—	4	2	no	—
314	D₄	—	4	2	no	—
315	D₄	—	4	2	no	—
316	D₄	—	4	2	no	—
317	D₄	—	8	4	no	—
318	D₄	—	8	4	no	—
319	D₄	—	8	2	no	—
320	C₂×C₄	—	4	2	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	8	2	no	—
324	C₂×C₄	—	8	4	no	—
325	C₂×C₄	C₁₁×#127	1	2	yes	—
326	C₂×C₄	C₂×C₁₁×D₈	1	2	yes	—
327	C₂×C₄	C₂×C₁₁×D₈	1	2	yes	—
328	C₂×C₄	C₂×C₁₁×D₈	1	1	yes	characteristic
329	C₂×C₄	C₂×C₁₁×D₈	1	2	yes	—
330	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
331	C₈	C₁₁×#127	1	2	yes	—
332	C₈	C₂×C₁₁×D₈	1	2	yes	—
333	C₈	C₂×C₁₁×D₈	1	2	yes	—
334	C₈	C₂²×D₄×C₁₁	1	2	yes	—
335	C₂²	—	2	2	no	—
336	C₂²	—	8	4	no	—
337	C₂²	—	8	4	no	—
338	C₂²	—	8	2	no	—
339	C₂²	—	8	2	no	—
340	C₂²	—	16	4	no	—
341	C₂²	C₁₁×#493	1	2	yes	—
342	C₂²	C₂²×C₁₁×D₈	1	1	yes	characteristic
343	C₄	—	2	2	no	—
344	C₄	—	2	2	no	—
345	C₄	—	8	2	no	—
346	C₄	—	8	2	no	—
347	C₄	C₁₁×#493	1	2	yes	—
348	C₄	C₂×C₁₁×#127	1	1	yes	characteristic
349	C₄	C₂²×C₁₁×D₈	1	1	yes	characteristic
350	C₂	—	2	2	no	—
351	C₂	—	16	2	no	—
352	C₂	—	16	2	no	—
353	C₂	C₂×C₁₁×#493	1	1	yes	characteristic
354	C₂	C₁₁×#3414	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂²×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₁₁
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₂×C₄²×C₁₁ ◁ C₂×C₄×C₈×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₁×#510	C₂	semidirect
2. C₂×C₁₁×#509	C₂	semidirect
3. C₁₁×#3147	C₂	semidirect
4. C₂×C₁₁×#495	C₂	semidirect
5. C₁₁×#2251	C₂	semidirect
6. C₁₁×#2250	C₂	semidirect
7. C₁₁×#2249	C₂	semidirect
8. C₄×C₁₁×M₃₂	C₂	semidirect
18. C₂×C₁₁×Q₃₂	C₂²	semidirect
20. C₂×C₁₁×SD₃₂	C₂²	semidirect
28. C₁₁×#495	C₂²	semidirect
29. C₁₁×#494	C₂²	semidirect
30. C₁₁×#493	C₂²	semidirect
33. C₁₁×#346	C₂²	semidirect
34. C₄×C₁₁×C₁₆	C₂²	semidirect
72. C₁₁×M₃₂	D₄	semidirect
78. #33719	C₁₁	direct (N × H)
126. C₂×#510	C₂×C₁₁	semidirect
127. C₂×#509	C₂×C₁₁	semidirect
128. #3147	C₂×C₁₁	semidirect
129. C₂×#495	C₂×C₁₁	semidirect
130. #2251	C₂×C₁₁	semidirect
131. #2250	C₂×C₁₁	semidirect
132. #2249	C₂×C₁₁	semidirect
133. C₄×M₃₂	C₂×C₁₁	semidirect
175. C₂×Q₃₂	C₂²×C₁₁	semidirect
177. C₂×SD₃₂	C₂²×C₁₁	semidirect
185. #495	C₂²×C₁₁	semidirect
186. #494	C₂²×C₁₁	semidirect
187. #493	C₂²×C₁₁	semidirect
190. #346	C₂²×C₁₁	semidirect
191. C₄×C₁₆	C₂²×C₁₁	semidirect
244. M₃₂	D₄×C₁₁	semidirect
302. C₁₁	#33719	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×#510	2
C₂×C₁₁×#509	2
C₁₁×#3147	2
C₂×C₁₁×#495	2
C₁₁×#2251	2
C₁₁×#2250	2
C₁₁×#2249	2
C₄×C₁₁×M₃₂	2
#33719	11

Subgroups — C11×#33719 #14610912

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#33719 #14610912