Subgroups — C₁₁×#21296 #14598489

Order 2816.

730 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×#2943	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2922	C₂	1	2	yes	maximal, complemented
3	C₁₁×#1975	C₂	1	1	yes	maximal, characteristic
4	C₁₁×#1974	C₂	1	1	yes	maximal, characteristic
5	C₁₁×#1946	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#1945	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1938	C₂	1	2	yes	maximal, complemented
8	C₁₁×#1937	C₂	1	2	yes	maximal, complemented
9	C₁₁×#1778	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#1759	C₂	1	2	yes	maximal, complemented
11	C₁₁×#1726	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
13	C₄×C₁₁×#41	C₂²	1	2	yes	—
14	C₁₁×#442	C₄	1	2	yes	complemented
15	C₁₁×#441	C₄	1	2	yes	complemented
16	C₁₁×#440	C₄	1	4	yes	complemented
17	C₁₁×#433	—	2	4	no	—
18	C₁₁×#431	—	2	4	no	—
19	C₂×C₁₁×#108	C₂²	1	1	yes	characteristic
20	C₂×C₁₁×#108	C₂²	1	1	yes	characteristic
21	C₁₁×#427	C₂²	1	1	yes	characteristic
22	C₁₁×#424	C₂²	1	2	yes	—
23	C₁₁×#424	C₂²	1	2	yes	—
24	C₂×C₁₁×#104	C₂²	1	2	yes	—
25	C₂×C₁₁×#104	C₂²	1	2	yes	—
26	C₁₁×#416	C₂²	1	2	yes	—
27	C₁₁×#408	C₂²	1	2	yes	—
28	C₁₁×#408	C₂²	1	2	yes	—
29	C₄×C₁₁×M₁₆	C₂²	1	2	yes	—
30	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
31	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
32	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
35	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
36	C₁₁×#376	C₂²	1	1	yes	characteristic
37	C₁₁×#341	C₂²	1	2	yes	—
38	C₁₁×#339	C₂²	1	2	yes	—
39	C₁₁×#339	C₂²	1	2	yes	—
40	C₂×C₁₁×#41	C₂³	1	2	yes	—
41	C₁₁×#135	—	2	2	no	—
42	C₁₁×#135	—	2	2	no	—
43	C₂×C₁₁×Q₁₆	C₂×C₄	1	1	yes	characteristic
44	C₂×C₁₁×SD₁₆	C₂×C₄	1	2	yes	—
45	C₂×C₁₁×D₈	C₂×C₄	1	1	yes	characteristic
46	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
47	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
48	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
49	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
50	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
51	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
52	C₄×Q₈×C₁₁	C₂×C₄	1	4	yes	—
53	C₄×D₄×C₁₁	—	2	4	no	—
54	C₄×D₄×C₁₁	C₂×C₄	1	4	yes	—
55	C₁₁×#117	—	2	2	no	—
56	C₁₁×#117	C₂³	1	2	yes	—
57	C₂×C₄²×C₁₁	—	2	2	no	—
58	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
59	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
60	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
61	C₁₁×#108	—	2	2	no	—
62	C₁₁×#108	—	2	2	no	—
63	C₁₁×#107	C₂×C₄	1	2	yes	—
64	C₁₁×#106	C₂×C₄	1	2	yes	—
65	C₁₁×C₄⋊C₈	—	2	4	no	—
66	C₁₁×C₄⋊C₈	—	2	4	no	—
67	C₁₁×#104	—	2	4	no	—
68	C₁₁×#104	—	2	4	no	—
69	C₁₁×#103	C₂×C₄	1	4	yes	—
70	C₁₁×#102	C₂×C₄	1	4	yes	—
71	C₁₁×C₂²⋊C₈	—	2	4	no	—
72	C₁₁×C₂²⋊C₈	—	2	4	no	—
73	C₁₁×#97	—	2	2	no	—
74	C₁₁×#97	—	2	2	no	—
75	C₁₁×#97	—	2	2	no	—
76	C₁₁×#97	C₂×C₄	1	2	yes	—
77	C₁₁×#97	C₂×C₄	1	2	yes	—
78	C₄×C₈×C₁₁	—	2	2	no	—
79	C₄×C₈×C₁₁	—	2	2	no	—
80	C₄×C₈×C₁₁	—	2	2	no	—
81	C₄×C₈×C₁₁	D₄	1	4	yes	—
82	C₁₁×#95	—	2	2	no	—
83	#21296	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
84	C₁₁×#41	—	2	2	no	—
85	C₁₁×#41	—	2	2	no	—
86	C₁₁×#41	—	2	2	no	—
87	C₁₁×#41	—	2	2	no	—
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	1	no	—
92	C₂²×C₄×C₁₁	—	2	1	no	—
93	C₂²×C₄×C₁₁	—	2	4	no	—
94	C₂²×C₄×C₁₁	—	2	2	no	—
95	C₂²×C₄×C₁₁	#41	1	2	yes	—
96	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
97	C₁₁×Q₁₆	—	2	2	no	—
98	C₁₁×SD₁₆	—	2	4	no	—
99	C₁₁×D₈	—	2	2	no	—
100	C₁₁×M₁₆	—	2	2	no	—
101	C₁₁×M₁₆	—	2	2	no	—
102	C₁₁×M₁₆	—	2	2	no	—
103	C₁₁×M₁₆	—	2	2	no	—
104	C₂×C₈×C₁₁	—	2	2	no	—
105	C₂×C₈×C₁₁	—	2	2	no	—
106	C₂×C₈×C₁₁	—	2	1	no	—
107	C₂×C₈×C₁₁	—	2	1	no	—
108	C₂×C₈×C₁₁	—	2	1	no	—
109	C₂×C₈×C₁₁	—	2	1	no	—
110	C₂×C₈×C₁₁	—	2	1	no	—
111	C₂×C₈×C₁₁	—	2	1	no	—
112	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
113	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
114	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
115	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
116	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
117	C₂×C₈×C₁₁	#41	1	2	yes	—
118	C₂×C₈×C₁₁	#41	1	2	yes	—
119	C₁₁×C₄⋊C₄	—	2	4	no	—
120	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
121	C₁₁×C₂²⋊C₄	—	2	2	no	—
122	C₁₁×C₂²⋊C₄	—	2	4	no	—
123	C₄²×C₁₁	—	2	4	no	—
124	C₄²×C₁₁	—	2	2	no	—
125	C₄²×C₁₁	—	2	1	no	—
126	C₄²×C₁₁	—	2	1	no	—
127	C₄²×C₁₁	C₂²×C₄	1	2	yes	—
128	C₄²×C₁₁	C₂×D₄	1	2	yes	—
129	C₄²×C₁₁	#41	1	2	yes	—
130	C₄²×C₁₁	#41	1	2	yes	—
131	#2943	C₂×C₁₁	1	1	yes	characteristic
132	#2922	C₂×C₁₁	1	2	yes	complemented
133	#1975	C₂×C₁₁	1	1	yes	characteristic
134	#1974	C₂×C₁₁	1	1	yes	characteristic
135	#1946	C₂×C₁₁	1	1	yes	characteristic, complemented
136	#1945	C₂×C₁₁	1	1	yes	characteristic, complemented
137	#1938	C₂×C₁₁	1	2	yes	complemented
138	#1937	C₂×C₁₁	1	2	yes	complemented
139	#1778	C₂×C₁₁	1	1	yes	characteristic, complemented
140	#1759	C₂×C₁₁	1	2	yes	complemented
141	#1726	C₂×C₁₁	1	1	yes	characteristic, complemented
142	C₂³×C₁₁	—	2	2	no	—
143	C₂³×C₁₁	C₂×#41	1	1	yes	characteristic
144	Q₈×C₁₁	—	2	2	no	—
145	Q₈×C₁₁	—	2	2	no	—
146	D₄×C₁₁	—	2	2	no	—
147	D₄×C₁₁	—	2	2	no	—
148	D₄×C₁₁	—	4	2	no	—
149	D₄×C₁₁	—	4	2	no	—
150	C₂×C₄×C₁₁	—	2	4	no	—
151	C₂×C₄×C₁₁	—	2	2	no	—
152	C₂×C₄×C₁₁	—	2	2	no	—
153	C₂×C₄×C₁₁	—	2	2	no	—
154	C₂×C₄×C₁₁	—	4	2	no	—
155	C₂×C₄×C₁₁	—	4	8	no	—
156	C₂×C₄×C₁₁	—	4	2	no	—
157	C₂×C₄×C₁₁	—	4	2	no	—
158	C₂×C₄×C₁₁	—	4	2	no	—
159	C₂×C₄×C₁₁	—	4	2	no	—
160	C₂×C₄×C₁₁	C₄×D₄	1	4	yes	—
161	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
162	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
164	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
165	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
166	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
167	C₈×C₁₁	—	2	2	no	—
168	C₈×C₁₁	—	2	2	no	—
169	C₈×C₁₁	—	2	2	no	—
170	C₈×C₁₁	—	4	2	no	—
171	C₈×C₁₁	—	4	2	no	—
172	C₈×C₁₁	#117	1	2	yes	—
173	C₈×C₁₁	#117	1	2	yes	—
174	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
175	C₄×#41	C₂²×C₁₁	1	2	yes	—
176	#442	C₄×C₁₁	1	2	yes	complemented
177	#441	C₄×C₁₁	1	2	yes	complemented
178	#440	C₄×C₁₁	1	4	yes	complemented
179	#433	—	2	4	no	—
180	#431	—	2	4	no	—
181	C₂×#108	C₂²×C₁₁	1	1	yes	characteristic
182	C₂×#108	C₂²×C₁₁	1	1	yes	characteristic
183	#427	C₂²×C₁₁	1	1	yes	characteristic
184	#424	C₂²×C₁₁	1	2	yes	—
185	#424	C₂²×C₁₁	1	2	yes	—
186	C₂×#104	C₂²×C₁₁	1	2	yes	—
187	C₂×#104	C₂²×C₁₁	1	2	yes	—
188	#416	C₂²×C₁₁	1	2	yes	—
189	#408	C₂²×C₁₁	1	2	yes	—
190	#408	C₂²×C₁₁	1	2	yes	—
191	C₄×M₁₆	C₂²×C₁₁	1	2	yes	—
192	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
193	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
194	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
195	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
196	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
197	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
198	#376	C₂²×C₁₁	1	1	yes	characteristic
199	#341	C₂²×C₁₁	1	2	yes	—
200	#339	C₂²×C₁₁	1	2	yes	—
201	#339	C₂²×C₁₁	1	2	yes	—
202	C₂²×C₁₁	—	2	2	no	—
203	C₂²×C₁₁	—	4	4	no	—
204	C₂²×C₁₁	—	4	2	no	—
205	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
206	C₂²×C₁₁	#529	1	1	yes	characteristic
207	C₂²×C₁₁	#529	1	1	yes	characteristic
208	C₄×C₁₁	—	2	4	no	—
209	C₄×C₁₁	—	4	2	no	—
210	C₄×C₁₁	—	4	2	no	—
211	C₄×C₁₁	—	4	4	no	—
212	C₄×C₁₁	—	4	2	no	—
213	C₄×C₁₁	C₂×#117	1	1	yes	characteristic
214	C₄×C₁₁	C₄×#41	1	1	yes	characteristic
215	C₄×C₁₁	#532	1	1	yes	characteristic
216	C₄×C₁₁	#532	1	1	yes	characteristic
217	C₂×#41	C₂³×C₁₁	1	2	yes	—
218	#135	—	2	2	no	—
219	#135	—	2	2	no	—
220	C₂×Q₁₆	C₂×C₄×C₁₁	1	1	yes	characteristic
221	C₂×SD₁₆	C₂×C₄×C₁₁	1	2	yes	—
222	C₂×D₈	C₂×C₄×C₁₁	1	1	yes	characteristic
223	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
224	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
225	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
226	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
227	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
228	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
229	C₄×Q₈	C₂×C₄×C₁₁	1	4	yes	—
230	C₄×D₄	—	2	4	no	—
231	C₄×D₄	C₂×C₄×C₁₁	1	4	yes	—
232	#117	—	2	2	no	—
233	#117	C₂³×C₁₁	1	2	yes	—
234	C₂×C₄²	—	2	2	no	—
235	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
236	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
237	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
238	#108	—	2	2	no	—
239	#108	—	2	2	no	—
240	#107	C₂×C₄×C₁₁	1	2	yes	—
241	#106	C₂×C₄×C₁₁	1	2	yes	—
242	C₄⋊C₈	—	2	4	no	—
243	C₄⋊C₈	—	2	4	no	—
244	#104	—	2	4	no	—
245	#104	—	2	4	no	—
246	#103	C₂×C₄×C₁₁	1	4	yes	—
247	#102	C₂×C₄×C₁₁	1	4	yes	—
248	C₂²⋊C₈	—	2	4	no	—
249	C₂²⋊C₈	—	2	4	no	—
250	#97	—	2	2	no	—
251	#97	—	2	2	no	—
252	#97	—	2	2	no	—
253	#97	C₂×C₄×C₁₁	1	2	yes	—
254	#97	C₂×C₄×C₁₁	1	2	yes	—
255	C₄×C₈	—	2	2	no	—
256	C₄×C₈	—	2	2	no	—
257	C₄×C₈	—	2	2	no	—
258	C₄×C₈	D₄×C₁₁	1	4	yes	—
259	#95	—	2	2	no	—
260	C₂×C₁₁	—	2	1	no	—
261	C₂×C₁₁	—	2	1	no	—
262	C₂×C₁₁	—	8	2	no	—
263	C₂×C₁₁	#2293	1	1	yes	characteristic
264	C₂×C₁₁	#2955	1	2	yes	—
265	#41	—	2	2	no	—
266	#41	—	2	2	no	—
267	#41	—	2	2	no	—
268	#41	—	2	2	no	—
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	1	no	—
273	C₂²×C₄	—	2	1	no	—
274	C₂²×C₄	—	2	4	no	—
275	C₂²×C₄	—	2	2	no	—
276	C₂²×C₄	C₁₁×#41	1	2	yes	—
277	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
278	Q₁₆	—	2	2	no	—
279	SD₁₆	—	2	4	no	—
280	D₈	—	2	2	no	—
281	M₁₆	—	2	2	no	—
282	M₁₆	—	2	2	no	—
283	M₁₆	—	2	2	no	—
284	M₁₆	—	2	2	no	—
285	C₂×C₈	—	2	1	no	—
286	C₂×C₈	—	2	1	no	—
287	C₂×C₈	—	2	1	no	—
288	C₂×C₈	—	2	1	no	—
289	C₂×C₈	—	2	1	no	—
290	C₂×C₈	—	2	1	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	C₂²×C₄×C₁₁	1	2	yes	—
294	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
295	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
296	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
297	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
298	C₂×C₈	C₁₁×#41	1	2	yes	—
299	C₂×C₈	C₁₁×#41	1	2	yes	—
300	C₄⋊C₄	—	2	4	no	—
301	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
302	C₂²⋊C₄	—	2	2	no	—
303	C₂²⋊C₄	—	2	4	no	—
304	C₄²	—	2	4	no	—
305	C₄²	—	2	2	no	—
306	C₄²	—	2	1	no	—
307	C₄²	—	2	1	no	—
308	C₄²	C₂²×C₄×C₁₁	1	2	yes	—
309	C₄²	C₂×D₄×C₁₁	1	2	yes	—
310	C₄²	C₁₁×#41	1	2	yes	—
311	C₄²	C₁₁×#41	1	2	yes	—
312	C₁₁	#21296	1	1	yes	characteristic, direct product factor, Sylow
313	C₂³	—	2	2	no	—
314	C₂³	C₂×C₁₁×#41	1	1	yes	characteristic
315	Q₈	—	2	2	no	—
316	Q₈	—	2	2	no	—
317	D₄	—	2	2	no	—
318	D₄	—	2	2	no	—
319	D₄	—	4	2	no	—
320	D₄	—	4	2	no	—
321	C₂×C₄	—	2	4	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	4	8	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	C₄×D₄×C₁₁	1	4	yes	—
332	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
333	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
334	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
335	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
336	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
337	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
338	C₈	—	2	2	no	—
339	C₈	—	2	2	no	—
340	C₈	—	2	2	no	—
341	C₈	—	4	2	no	—
342	C₈	—	4	2	no	—
343	C₈	C₁₁×#117	1	2	yes	—
344	C₈	C₁₁×#117	1	2	yes	—
345	C₂²	—	2	2	no	—
346	C₂²	—	4	4	no	—
347	C₂²	—	4	2	no	—
348	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
349	C₂²	C₁₁×#529	1	1	yes	characteristic
350	C₂²	C₁₁×#529	1	1	yes	characteristic
351	C₄	—	2	4	no	—
352	C₄	—	4	2	no	—
353	C₄	—	4	2	no	—
354	C₄	—	4	4	no	—
355	C₄	—	4	2	no	—
356	C₄	C₂×C₁₁×#117	1	1	yes	characteristic
357	C₄	C₄×C₁₁×#41	1	1	yes	characteristic
358	C₄	C₁₁×#532	1	1	yes	characteristic
359	C₄	C₁₁×#532	1	1	yes	characteristic
360	C₂	—	2	1	no	—
361	C₂	—	2	1	no	—
362	C₂	—	8	2	no	—
363	C₂	C₁₁×#2293	1	1	yes	characteristic
364	C₂	C₁₁×#2955	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₁₁	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₁
socle	C₂²×C₁₁	C₂×C₄×D₄
prime radical	C₂×C₁₁×#135	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₁ ◁ C₂×C₄×C₈×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#2922	C₂	semidirect
5. C₁₁×#1946	C₂	semidirect
6. C₁₁×#1945	C₂	semidirect
7. C₁₁×#1938	C₂	semidirect
8. C₁₁×#1937	C₂	semidirect
9. C₁₁×#1778	C₂	semidirect
10. C₁₁×#1759	C₂	semidirect
11. C₁₁×#1726	C₂	semidirect
14. C₁₁×#442	C₄	semidirect
15. C₁₁×#441	C₄	semidirect
16. C₁₁×#440	C₄	semidirect
83. #21296	C₁₁	direct (N × H)
132. #2922	C₂×C₁₁	semidirect
135. #1946	C₂×C₁₁	semidirect
136. #1945	C₂×C₁₁	semidirect
137. #1938	C₂×C₁₁	semidirect
138. #1937	C₂×C₁₁	semidirect
139. #1778	C₂×C₁₁	semidirect
140. #1759	C₂×C₁₁	semidirect
141. #1726	C₂×C₁₁	semidirect
176. #442	C₄×C₁₁	semidirect
177. #441	C₄×C₁₁	semidirect
178. #440	C₄×C₁₁	semidirect
312. C₁₁	#21296	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×#2943	2
C₁₁×#2922	2
C₁₁×#1975	2
C₁₁×#1974	2
C₁₁×#1946	2
C₁₁×#1945	2
C₁₁×#1938	2
C₁₁×#1937	2
C₁₁×#1778	2
C₁₁×#1759	2
C₁₁×#1726	2
#21296	11

Subgroups — C11×#21296 #14598489

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#21296 #14598489