Subgroups — C₁₁×#18039 #14595232

Order 2816.

652 conjugacy classes of subgroups.

The subgroup lattice has 340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2971	C₂	1	2	yes	maximal, complemented
2	C₄×C₁₁×#135	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#1589	C₂	1	2	yes	maximal, complemented
4	C₁₁×#1583	C₂	1	4	yes	maximal, complemented
5	C₈×C₁₁×Q₁₆	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1568	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1488	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	C₈×Q₈×C₁₁	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×#436	—	2	4	no	—
19	C₁₁×#436	C₂²	1	4	yes	—
20	C₁₁×#432	—	2	2	no	—
21	C₁₁×#432	C₂²	1	2	yes	—
22	C₁₁×#431	C₂²	1	1	yes	characteristic
23	C₁₁×#427	C₄	1	1	yes	characteristic
24	C₁₁×#416	C₄	1	2	yes	—
25	C₄×C₁₁×M₁₆	—	2	2	no	—
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×#334	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	4	no	—
40	C₂×C₁₁×M₁₆	D₄	1	2	yes	—
41	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
42	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
43	C₄×Q₈×C₁₁	C₂×C₄	1	2	yes	—
44	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
45	C₄×D₄×C₁₁	—	2	2	no	—
46	C₄×D₄×C₁₁	—	2	2	no	—
47	C₄×D₄×C₁₁	C₂×C₄	1	2	yes	—
48	C₄×D₄×C₁₁	C₂³	1	2	yes	—
49	C₁₁×#117	—	2	2	no	—
50	C₁₁×#117	C₂×C₄	1	2	yes	—
51	C₂×C₄²×C₁₁	—	2	2	no	—
52	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
53	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
54	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
55	C₁₁×#106	C₂×C₄	1	2	yes	—
56	C₁₁×C₄⋊C₈	—	2	4	no	—
57	C₁₁×C₄⋊C₈	—	2	1	no	—
58	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
59	C₁₁×#103	C₂×C₄	1	2	yes	—
60	C₁₁×#103	C₂×C₄	1	2	yes	—
61	C₁₁×#102	C₂×C₄	1	2	yes	—
62	C₁₁×#102	C₂×C₄	1	2	yes	—
63	C₁₁×C₂²⋊C₈	—	2	2	no	—
64	C₁₁×C₂²⋊C₈	—	2	1	no	—
65	C₁₁×C₂²⋊C₈	—	2	4	no	—
66	C₁₁×#97	—	2	2	no	—
67	C₁₁×#97	D₄	1	1	yes	characteristic
68	C₁₁×#97	D₄	1	1	yes	characteristic
69	C₄×C₈×C₁₁	—	2	4	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	#18039	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	M₁₆	1	4	yes	complemented
89	C₁₁×SD₁₆	—	2	4	no	—
90	C₁₁×D₈	—	2	2	no	—
91	C₁₁×M₁₆	—	2	4	no	—
92	C₁₁×M₁₆	—	4	8	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	C₂²×C₄	1	1	yes	characteristic
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	C₂×D₄	1	2	yes	—
102	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
103	C₁₁×C₄⋊C₄	—	2	2	no	—
104	C₁₁×C₄⋊C₄	—	2	2	no	—
105	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
106	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
107	C₁₁×C₂²⋊C₄	—	2	2	no	—
108	C₁₁×C₂²⋊C₄	—	2	2	no	—
109	C₁₁×C₂²⋊C₄	—	2	2	no	—
110	C₄²×C₁₁	—	2	2	no	—
111	C₄²×C₁₁	—	2	2	no	—
112	C₄²×C₁₁	—	2	2	no	—
113	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
115	C₄²×C₁₁	#41	1	1	yes	characteristic
116	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
117	#2971	C₂×C₁₁	1	2	yes	complemented
118	C₄×#135	C₂×C₁₁	1	1	yes	characteristic
119	#1589	C₂×C₁₁	1	2	yes	complemented
120	#1583	C₂×C₁₁	1	4	yes	complemented
121	C₈×Q₁₆	C₂×C₁₁	1	2	yes	complemented
122	#1568	C₂×C₁₁	1	1	yes	characteristic, complemented
123	#1488	C₂×C₁₁	1	2	yes	complemented
124	C₈×M₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
125	C₂³×C₁₁	—	2	2	no	—
126	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
127	Q₈×C₁₁	—	2	2	no	—
128	Q₈×C₁₁	C₂×M₁₆	1	4	yes	—
129	D₄×C₁₁	—	2	2	no	—
130	D₄×C₁₁	—	2	2	no	—
131	D₄×C₁₁	—	4	4	no	—
132	C₂×C₄×C₁₁	—	2	2	no	—
133	C₂×C₄×C₁₁	—	2	1	no	—
134	C₂×C₄×C₁₁	—	2	1	no	—
135	C₂×C₄×C₁₁	—	2	2	no	—
136	C₂×C₄×C₁₁	—	2	2	no	—
137	C₂×C₄×C₁₁	—	2	2	no	—
138	C₂×C₄×C₁₁	—	4	1	no	—
139	C₂×C₄×C₁₁	—	4	4	no	—
140	C₂×C₄×C₁₁	—	4	4	no	—
141	C₂×C₄×C₁₁	—	8	2	no	—
142	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
143	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
144	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
145	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
146	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
147	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
148	C₈×C₁₁	—	2	1	no	—
149	C₈×C₁₁	—	2	1	no	—
150	C₈×C₁₁	—	2	1	no	—
151	C₈×C₁₁	—	2	2	no	—
152	C₈×C₁₁	—	4	2	no	—
153	C₈×C₁₁	—	4	4	no	—
154	C₈×C₁₁	C₂×M₁₆	1	2	yes	—
155	C₈×C₁₁	#135	1	4	yes	complemented
156	C₂×#135	C₄×C₁₁	1	1	yes	characteristic
157	C₄×#41	C₂²×C₁₁	1	2	yes	—
158	C₈×Q₈	C₂²×C₁₁	1	4	yes	—
159	C₄×Q₁₆	C₄×C₁₁	1	1	yes	characteristic
160	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
161	C₄×SD₁₆	C₄×C₁₁	1	2	yes	—
162	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
163	C₄×D₈	C₄×C₁₁	1	1	yes	characteristic
164	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
165	#436	—	2	4	no	—
166	#436	C₂²×C₁₁	1	4	yes	—
167	#432	—	2	2	no	—
168	#432	C₂²×C₁₁	1	2	yes	—
169	#431	C₂²×C₁₁	1	1	yes	characteristic
170	#427	C₄×C₁₁	1	1	yes	characteristic
171	#416	C₄×C₁₁	1	2	yes	—
172	C₄×M₁₆	—	2	2	no	—
173	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
174	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
175	#335	C₂²×C₁₁	1	2	yes	—
176	#334	C₂²×C₁₁	1	2	yes	—
177	Q₈⋊C₈	C₂²×C₁₁	1	4	yes	—
178	D₄⋊C₈	C₂²×C₁₁	1	4	yes	—
179	#322	C₂²×C₁₁	1	2	yes	—
180	C₈²	C₂²×C₁₁	1	2	yes	—
181	C₂²×C₁₁	—	2	1	no	—
182	C₂²×C₁₁	—	2	1	no	—
183	C₂²×C₁₁	—	2	1	no	—
184	C₂²×C₁₁	—	4	2	no	—
185	C₂²×C₁₁	—	4	2	no	—
186	C₂²×C₁₁	—	4	2	no	—
187	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
188	C₄×C₁₁	—	2	1	no	—
189	C₄×C₁₁	—	2	4	no	—
190	C₄×C₁₁	—	2	1	no	—
191	C₄×C₁₁	—	2	1	no	—
192	C₄×C₁₁	—	2	1	no	—
193	C₄×C₁₁	—	4	2	no	—
194	C₄×C₁₁	—	4	2	no	—
195	C₄×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
196	C₄×C₁₁	#568	1	1	yes	characteristic
197	C₄×C₁₁	C₂×#135	1	2	yes	—
198	C₂×#41	C₂×C₄×C₁₁	1	2	yes	—
199	#135	—	2	4	no	—
200	C₂×Q₁₆	C₂×C₄×C₁₁	1	1	yes	characteristic
201	C₂×SD₁₆	C₂×C₄×C₁₁	1	2	yes	—
202	C₂×D₈	C₂×C₄×C₁₁	1	1	yes	characteristic
203	C₂×M₁₆	—	2	4	no	—
204	C₂×M₁₆	D₄×C₁₁	1	2	yes	—
205	C₂²×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
206	C₂²×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
207	C₄×Q₈	C₂×C₄×C₁₁	1	2	yes	—
208	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
209	C₄×D₄	—	2	2	no	—
210	C₄×D₄	—	2	2	no	—
211	C₄×D₄	C₂×C₄×C₁₁	1	2	yes	—
212	C₄×D₄	C₂³×C₁₁	1	2	yes	—
213	#117	—	2	2	no	—
214	#117	C₂×C₄×C₁₁	1	2	yes	—
215	C₂×C₄²	—	2	2	no	—
216	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
217	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
218	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
219	#106	C₂×C₄×C₁₁	1	2	yes	—
220	C₄⋊C₈	—	2	4	no	—
221	C₄⋊C₈	—	2	1	no	—
222	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
223	#103	C₂×C₄×C₁₁	1	2	yes	—
224	#103	C₂×C₄×C₁₁	1	2	yes	—
225	#102	C₂×C₄×C₁₁	1	2	yes	—
226	#102	C₂×C₄×C₁₁	1	2	yes	—
227	C₂²⋊C₈	—	2	2	no	—
228	C₂²⋊C₈	—	2	1	no	—
229	C₂²⋊C₈	—	2	4	no	—
230	#97	—	2	2	no	—
231	#97	D₄×C₁₁	1	1	yes	characteristic
232	#97	D₄×C₁₁	1	1	yes	characteristic
233	C₄×C₈	—	2	4	no	—
234	C₄×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
235	C₄×C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
236	C₄×C₈	C₂³×C₁₁	1	2	yes	—
237	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
238	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
239	C₄×C₈	C₂³×C₁₁	1	2	yes	—
240	C₂×C₁₁	—	4	1	no	—
241	C₂×C₁₁	—	8	2	no	—
242	C₂×C₁₁	D₄×M₁₆	1	1	yes	characteristic
243	C₂×C₁₁	C₄×#135	1	1	yes	characteristic
244	C₂×C₁₁	#2957	1	1	yes	characteristic
245	#41	—	2	4	no	—
246	#41	—	4	2	no	—
247	C₂×Q₈	C₂²×C₄×C₁₁	1	2	yes	—
248	C₂×D₄	—	2	2	no	—
249	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
250	C₂²×C₄	—	2	2	no	—
251	C₂²×C₄	—	2	2	no	—
252	C₂²×C₄	—	2	2	no	—
253	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
254	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
255	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
256	Q₁₆	C₁₁×M₁₆	1	4	yes	complemented
257	SD₁₆	—	2	4	no	—
258	D₈	—	2	2	no	—
259	M₁₆	—	2	4	no	—
260	M₁₆	—	4	8	no	—
261	C₂×C₈	—	2	2	no	—
262	C₂×C₈	—	2	4	no	—
263	C₂×C₈	—	2	2	no	—
264	C₂×C₈	—	4	1	no	—
265	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
266	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
267	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
268	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
269	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
270	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
271	C₄⋊C₄	—	2	2	no	—
272	C₄⋊C₄	—	2	2	no	—
273	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
274	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
275	C₂²⋊C₄	—	2	2	no	—
276	C₂²⋊C₄	—	2	2	no	—
277	C₂²⋊C₄	—	2	2	no	—
278	C₄²	—	2	2	no	—
279	C₄²	—	2	2	no	—
280	C₄²	—	2	2	no	—
281	C₄²	C₂²×C₄×C₁₁	1	1	yes	characteristic
282	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
283	C₄²	C₁₁×#41	1	1	yes	characteristic
284	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
285	C₁₁	#18039	1	1	yes	characteristic, direct product factor, Sylow
286	C₂³	—	2	2	no	—
287	C₂³	C₄×D₄×C₁₁	1	1	yes	characteristic
288	Q₈	—	2	2	no	—
289	Q₈	C₂×C₁₁×M₁₆	1	4	yes	—
290	D₄	—	2	2	no	—
291	D₄	—	2	2	no	—
292	D₄	—	4	4	no	—
293	C₂×C₄	—	2	2	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	4	1	no	—
300	C₂×C₄	—	4	4	no	—
301	C₂×C₄	—	4	4	no	—
302	C₂×C₄	—	8	2	no	—
303	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
304	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
305	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
306	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
307	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
308	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
309	C₈	—	2	1	no	—
310	C₈	—	2	1	no	—
311	C₈	—	2	1	no	—
312	C₈	—	2	2	no	—
313	C₈	—	4	2	no	—
314	C₈	—	4	4	no	—
315	C₈	C₂×C₁₁×M₁₆	1	2	yes	—
316	C₈	C₁₁×#135	1	4	yes	complemented
317	C₂²	—	2	1	no	—
318	C₂²	—	2	1	no	—
319	C₂²	—	2	1	no	—
320	C₂²	—	4	2	no	—
321	C₂²	—	4	2	no	—
322	C₂²	—	4	2	no	—
323	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
324	C₄	—	2	1	no	—
325	C₄	—	2	4	no	—
326	C₄	—	2	1	no	—
327	C₄	—	2	1	no	—
328	C₄	—	2	1	no	—
329	C₄	—	4	2	no	—
330	C₄	—	4	2	no	—
331	C₄	C₂²×C₁₁×M₁₆	1	1	yes	characteristic
332	C₄	C₁₁×#568	1	1	yes	characteristic
333	C₄	C₂×C₁₁×#135	1	2	yes	—
334	C₂	—	4	1	no	—
335	C₂	—	8	2	no	—
336	C₂	D₄×C₁₁×M₁₆	1	1	yes	characteristic
337	C₂	C₄×C₁₁×#135	1	1	yes	characteristic
338	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	C₂×C₁₁×#135	C₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₁ ◁ C₄×C₁₁×M₁₆ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#2971	C₂	semidirect
3. C₁₁×#1589	C₂	semidirect
4. C₁₁×#1583	C₂	semidirect
5. C₈×C₁₁×Q₁₆	C₂	semidirect
6. C₁₁×#1568	C₂	semidirect
7. C₁₁×#1488	C₂	semidirect
8. C₈×C₁₁×M₁₆	C₂	semidirect
76. #18039	C₁₁	direct (N × H)
88. C₁₁×Q₁₆	M₁₆	semidirect
117. #2971	C₂×C₁₁	semidirect
119. #1589	C₂×C₁₁	semidirect
120. #1583	C₂×C₁₁	semidirect
121. C₈×Q₁₆	C₂×C₁₁	semidirect
122. #1568	C₂×C₁₁	semidirect
123. #1488	C₂×C₁₁	semidirect
124. C₈×M₁₆	C₂×C₁₁	semidirect
155. C₈×C₁₁	#135	semidirect
256. Q₁₆	C₁₁×M₁₆	semidirect
285. C₁₁	#18039	direct (N × H)
316. C₈	C₁₁×#135	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₁×#2971	2
C₄×C₁₁×#135	2
C₁₁×#1589	2
C₁₁×#1583	2
C₈×C₁₁×Q₁₆	2
C₁₁×#1568	2
C₁₁×#1488	2
C₈×C₁₁×M₁₆	2
#18039	11

Subgroups — C11×#18039 #14595232

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#18039 #14595232