Subgroups — C₁₁×#23202 #14600395

Order 2816.

960 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#496	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2949	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2948	C₂	1	2	yes	maximal, complemented
4	C₁₁×#1978	C₂	1	2	yes	maximal, complemented
5	C₁₁×#1977	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1888	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1887	C₂	1	2	yes	maximal, complemented
8	C₁₁×#1885	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#1773	C₂	1	2	yes	maximal, complemented
10	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	—
11	C₂²×C₁₁×D₈	C₂²	1	2	yes	—
12	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
13	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
14	C₁₁×#519	C₂²	1	1	yes	characteristic
15	C₁₁×#518	C₂²	1	1	yes	characteristic
16	C₁₁×#518	C₂²	1	2	yes	—
17	C₁₁×#496	C₄	1	8	yes	complemented
18	C₁₁×#442	—	2	4	no	—
19	C₁₁×#440	—	2	4	no	—
20	C₄×C₁₁×SD₁₆	—	2	4	no	—
21	C₄×C₁₁×D₈	—	2	4	no	—
22	C₂×C₁₁×#108	C₂²	1	2	yes	—
23	C₁₁×#427	C₂²	1	2	yes	—
24	C₁₁×#419	C₂²	1	2	yes	—
25	C₁₁×#418	C₂²	1	2	yes	—
26	C₁₁×#418	C₂²	1	2	yes	—
27	C₁₁×#418	C₂²	1	2	yes	—
28	C₂×C₁₁×#101	C₂²	1	1	yes	characteristic
29	C₂×C₁₁×#100	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×#100	C₂²	1	2	yes	—
31	C₁₁×#405	C₂²	1	2	yes	—
32	C₁₁×#405	C₂²	1	2	yes	—
33	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
34	C₁₁×#339	C₂²	1	2	yes	—
35	C₁₁×#339	C₂²	1	2	yes	—
36	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
37	C₂²×D₄×C₁₁	—	4	1	no	—
38	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
39	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
40	C₂×C₁₁×SD₁₆	—	2	2	no	—
41	C₂×C₁₁×SD₁₆	—	2	2	no	—
42	C₂×C₁₁×SD₁₆	—	2	4	no	—
43	C₂×C₁₁×SD₁₆	C₂×C₄	1	8	yes	complemented
44	C₂×C₁₁×D₈	—	2	2	no	—
45	C₂×C₁₁×D₈	—	2	2	no	—
46	C₂×C₁₁×D₈	—	2	4	no	—
47	C₂×C₁₁×D₈	C₂×C₄	1	8	yes	complemented
48	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
49	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
50	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
51	C₁₁×#127	—	4	1	no	—
52	C₁₁×#127	C₂×C₄	1	4	yes	complemented
53	C₁₁×#124	—	4	1	no	—
54	C₁₁×#124	C₂×C₄	1	4	yes	complemented
55	C₄×Q₈×C₁₁	—	2	4	no	—
56	C₄×D₄×C₁₁	—	2	4	no	—
57	C₄×D₄×C₁₁	—	2	4	no	—
58	C₄×D₄×C₁₁	—	2	4	no	—
59	C₁₁×#117	—	4	1	no	—
60	C₁₁×#117	C₂³	1	2	yes	—
61	C₁₁×#117	C₂³	1	2	yes	—
62	C₂×C₁₁×C₂²⋊C₄	—	4	1	no	—
63	C₂×C₁₁×C₂²⋊C₄	—	4	2	no	—
64	C₂×C₁₁×C₂²⋊C₄	—	4	1	no	—
65	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
66	C₁₁×#108	—	2	4	no	—
67	C₁₁×#107	D₄	1	4	yes	complemented
68	C₁₁×#106	D₄	1	4	yes	complemented
69	C₁₁×#103	—	2	4	no	—
70	C₁₁×#102	—	2	4	no	—
71	C₁₁×#102	—	2	4	no	—
72	C₁₁×#102	—	2	4	no	—
73	C₁₁×#101	—	4	1	no	—
74	C₁₁×#100	—	4	1	no	—
75	C₁₁×#100	—	4	2	no	—
76	C₁₁×#97	—	2	2	no	—
77	C₁₁×#97	—	2	2	no	—
78	C₁₁×#97	C₂×C₄	1	4	yes	complemented
79	C₄×C₈×C₁₁	—	2	2	no	—
80	C₄×C₈×C₁₁	—	2	2	no	—
81	#23202	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
82	C₂⁴×C₁₁	—	2	1	no	—
83	C₂⁴×C₁₁	—	2	2	no	—
84	C₂×Q₈×C₁₁	—	2	1	no	—
85	C₂×Q₈×C₁₁	—	2	2	no	—
86	C₂×Q₈×C₁₁	—	2	2	no	—
87	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
88	C₂×D₄×C₁₁	—	2	2	no	—
89	C₂×D₄×C₁₁	—	2	2	no	—
90	C₂×D₄×C₁₁	—	2	2	no	—
91	C₂×D₄×C₁₁	—	2	2	no	—
92	C₂×D₄×C₁₁	—	2	2	no	—
93	C₂×D₄×C₁₁	—	2	2	no	—
94	C₂×D₄×C₁₁	—	2	1	no	—
95	C₂×D₄×C₁₁	—	2	2	no	—
96	C₂×D₄×C₁₁	—	4	4	no	—
97	C₂×D₄×C₁₁	—	8	4	no	—
98	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
99	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
100	C₂²×C₄×C₁₁	—	2	1	no	—
101	C₂²×C₄×C₁₁	—	2	1	no	—
102	C₂²×C₄×C₁₁	—	4	4	no	—
103	C₂²×C₄×C₁₁	—	4	2	no	—
104	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
105	C₁₁×SD₁₆	—	2	8	no	—
106	C₁₁×SD₁₆	—	2	8	no	—
107	C₁₁×D₈	—	2	8	no	—
108	C₁₁×D₈	—	2	8	no	—
109	C₁₁×M₁₆	—	2	2	no	—
110	C₁₁×M₁₆	—	2	2	no	—
111	C₁₁×M₁₆	—	2	2	no	—
112	C₁₁×M₁₆	—	2	2	no	—
113	C₂×C₈×C₁₁	—	2	2	no	—
114	C₂×C₈×C₁₁	—	2	2	no	—
115	C₂×C₈×C₁₁	C₂²×C₄	1	4	yes	—
116	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
117	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
118	C₂×C₈×C₁₁	#41	1	4	yes	—
119	C₁₁×C₄⋊C₄	—	4	2	no	—
120	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
121	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
122	C₁₁×C₂²⋊C₄	—	2	2	no	—
123	C₁₁×C₂²⋊C₄	—	2	2	no	—
124	C₁₁×C₂²⋊C₄	—	4	4	no	—
125	C₁₁×C₂²⋊C₄	—	4	4	no	—
126	C₁₁×C₂²⋊C₄	—	4	2	no	—
127	C₄²×C₁₁	—	2	2	no	—
128	C₄²×C₁₁	—	2	2	no	—
129	C₄²×C₁₁	—	2	1	no	—
130	C₄²×C₁₁	—	4	2	no	—
131	C₄²×C₁₁	C₂²×C₄	1	2	yes	—
132	C₂×#496	C₂×C₁₁	1	1	yes	characteristic
133	#2949	C₂×C₁₁	1	2	yes	complemented
134	#2948	C₂×C₁₁	1	2	yes	complemented
135	#1978	C₂×C₁₁	1	2	yes	complemented
136	#1977	C₂×C₁₁	1	2	yes	complemented
137	#1888	C₂×C₁₁	1	1	yes	characteristic, complemented
138	#1887	C₂×C₁₁	1	2	yes	complemented
139	#1885	C₂×C₁₁	1	1	yes	characteristic, complemented
140	#1773	C₂×C₁₁	1	2	yes	complemented
141	C₂³×C₁₁	—	2	2	no	—
142	C₂³×C₁₁	—	2	4	no	—
143	C₂³×C₁₁	—	4	1	no	—
144	C₂³×C₁₁	—	4	2	no	—
145	C₂³×C₁₁	—	4	1	no	—
146	C₂³×C₁₁	—	4	2	no	—
147	C₂³×C₁₁	—	8	4	no	—
148	C₂³×C₁₁	—	8	2	no	—
149	C₂³×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
150	Q₈×C₁₁	—	2	4	no	—
151	Q₈×C₁₁	—	4	2	no	—
152	D₄×C₁₁	—	2	4	no	—
153	D₄×C₁₁	—	2	4	no	—
154	D₄×C₁₁	—	2	4	no	—
155	D₄×C₁₁	—	4	2	no	—
156	D₄×C₁₁	—	4	2	no	—
157	D₄×C₁₁	—	4	2	no	—
158	D₄×C₁₁	—	8	8	no	—
159	C₂×C₄×C₁₁	—	2	2	no	—
160	C₂×C₄×C₁₁	—	2	2	no	—
161	C₂×C₄×C₁₁	—	2	4	no	—
162	C₂×C₄×C₁₁	—	2	4	no	—
163	C₂×C₄×C₁₁	—	4	2	no	—
164	C₂×C₄×C₁₁	—	4	1	no	—
165	C₂×C₄×C₁₁	—	4	1	no	—
166	C₂×C₄×C₁₁	—	16	4	no	—
167	C₂×C₄×C₁₁	—	16	2	no	—
168	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
169	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
170	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
171	C₂×C₄×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
172	C₈×C₁₁	—	4	2	no	—
173	C₈×C₁₁	—	4	2	no	—
174	C₈×C₁₁	C₄×D₄	1	4	yes	—
175	C₈×C₁₁	C₄×D₄	1	4	yes	—
176	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	—
177	C₂²×D₈	C₂²×C₁₁	1	2	yes	—
178	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
179	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
180	#519	C₂²×C₁₁	1	1	yes	characteristic
181	#518	C₂²×C₁₁	1	1	yes	characteristic
182	#518	C₂²×C₁₁	1	2	yes	—
183	#496	C₄×C₁₁	1	8	yes	complemented
184	#442	—	2	4	no	—
185	#440	—	2	4	no	—
186	C₄×SD₁₆	—	2	4	no	—
187	C₄×D₈	—	2	4	no	—
188	C₂×#108	C₂²×C₁₁	1	2	yes	—
189	#427	C₂²×C₁₁	1	2	yes	—
190	#419	C₂²×C₁₁	1	2	yes	—
191	#418	C₂²×C₁₁	1	2	yes	—
192	#418	C₂²×C₁₁	1	2	yes	—
193	#418	C₂²×C₁₁	1	2	yes	—
194	C₂×#101	C₂²×C₁₁	1	1	yes	characteristic
195	C₂×#100	C₂²×C₁₁	1	1	yes	characteristic
196	C₂×#100	C₂²×C₁₁	1	2	yes	—
197	#405	C₂²×C₁₁	1	2	yes	—
198	#405	C₂²×C₁₁	1	2	yes	—
199	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
200	#339	C₂²×C₁₁	1	2	yes	—
201	#339	C₂²×C₁₁	1	2	yes	—
202	C₂²×C₁₁	—	2	2	no	—
203	C₂²×C₁₁	—	4	2	no	—
204	C₂²×C₁₁	—	4	4	no	—
205	C₂²×C₁₁	—	8	4	no	—
206	C₂²×C₁₁	—	8	2	no	—
207	C₂²×C₁₁	—	8	4	no	—
208	C₂²×C₁₁	—	8	2	no	—
209	C₂²×C₁₁	—	16	2	no	—
210	C₂²×C₁₁	—	16	1	no	—
211	C₂²×C₁₁	#518	1	1	yes	characteristic
212	C₂²×C₁₁	D₄²	1	1	yes	characteristic
213	C₂²×C₁₁	#559	1	1	yes	characteristic
214	C₄×C₁₁	—	4	2	no	—
215	C₄×C₁₁	—	4	2	no	—
216	C₄×C₁₁	—	4	4	no	—
217	C₄×C₁₁	—	4	4	no	—
218	C₄×C₁₁	C₂×C₄×D₄	1	2	yes	—
219	C₄×C₁₁	#550	1	2	yes	—
220	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
221	C₂²×D₄	—	4	1	no	—
222	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
223	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
224	C₂×SD₁₆	—	2	2	no	—
225	C₂×SD₁₆	—	2	2	no	—
226	C₂×SD₁₆	—	2	4	no	—
227	C₂×SD₁₆	C₂×C₄×C₁₁	1	8	yes	complemented
228	C₂×D₈	—	2	2	no	—
229	C₂×D₈	—	2	2	no	—
230	C₂×D₈	—	2	4	no	—
231	C₂×D₈	C₂×C₄×C₁₁	1	8	yes	complemented
232	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
233	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
234	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
235	#127	—	4	1	no	—
236	#127	C₂×C₄×C₁₁	1	4	yes	complemented
237	#124	—	4	1	no	—
238	#124	C₂×C₄×C₁₁	1	4	yes	complemented
239	C₄×Q₈	—	2	4	no	—
240	C₄×D₄	—	2	4	no	—
241	C₄×D₄	—	2	4	no	—
242	C₄×D₄	—	2	4	no	—
243	#117	—	4	1	no	—
244	#117	C₂³×C₁₁	1	2	yes	—
245	#117	C₂³×C₁₁	1	2	yes	—
246	C₂×C₂²⋊C₄	—	4	1	no	—
247	C₂×C₂²⋊C₄	—	4	2	no	—
248	C₂×C₂²⋊C₄	—	4	1	no	—
249	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
250	#108	—	2	4	no	—
251	#107	D₄×C₁₁	1	4	yes	complemented
252	#106	D₄×C₁₁	1	4	yes	complemented
253	#103	—	2	4	no	—
254	#102	—	2	4	no	—
255	#102	—	2	4	no	—
256	#102	—	2	4	no	—
257	#101	—	4	1	no	—
258	#100	—	4	1	no	—
259	#100	—	4	2	no	—
260	#97	—	2	2	no	—
261	#97	—	2	2	no	—
262	#97	C₂×C₄×C₁₁	1	4	yes	complemented
263	C₄×C₈	—	2	2	no	—
264	C₄×C₈	—	2	2	no	—
265	C₂×C₁₁	—	2	1	no	—
266	C₂×C₁₁	—	2	1	no	—
267	C₂×C₁₁	—	8	4	no	—
268	C₂×C₁₁	—	8	2	no	—
269	C₂×C₁₁	#2366	1	1	yes	characteristic
270	C₂×C₁₁	#3288	1	2	yes	—
271	C₂⁴	—	2	1	no	—
272	C₂⁴	—	2	2	no	—
273	C₂×Q₈	—	2	1	no	—
274	C₂×Q₈	—	2	2	no	—
275	C₂×Q₈	—	2	2	no	—
276	C₂×Q₈	C₂²×C₄×C₁₁	1	2	yes	—
277	C₂×D₄	—	2	2	no	—
278	C₂×D₄	—	2	2	no	—
279	C₂×D₄	—	2	2	no	—
280	C₂×D₄	—	2	2	no	—
281	C₂×D₄	—	2	2	no	—
282	C₂×D₄	—	2	2	no	—
283	C₂×D₄	—	2	1	no	—
284	C₂×D₄	—	2	2	no	—
285	C₂×D₄	—	4	4	no	—
286	C₂×D₄	—	8	4	no	—
287	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
288	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
289	C₂²×C₄	—	2	1	no	—
290	C₂²×C₄	—	2	1	no	—
291	C₂²×C₄	—	4	4	no	—
292	C₂²×C₄	—	4	2	no	—
293	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
294	SD₁₆	—	2	8	no	—
295	SD₁₆	—	2	8	no	—
296	D₈	—	2	8	no	—
297	D₈	—	2	8	no	—
298	M₁₆	—	2	2	no	—
299	M₁₆	—	2	2	no	—
300	M₁₆	—	2	2	no	—
301	M₁₆	—	2	2	no	—
302	C₂×C₈	—	2	2	no	—
303	C₂×C₈	—	2	2	no	—
304	C₂×C₈	C₂²×C₄×C₁₁	1	4	yes	—
305	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
306	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
307	C₂×C₈	C₁₁×#41	1	4	yes	—
308	C₄⋊C₄	—	4	2	no	—
309	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
310	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
311	C₂²⋊C₄	—	2	2	no	—
312	C₂²⋊C₄	—	2	2	no	—
313	C₂²⋊C₄	—	4	4	no	—
314	C₂²⋊C₄	—	4	4	no	—
315	C₂²⋊C₄	—	4	2	no	—
316	C₄²	—	2	2	no	—
317	C₄²	—	2	2	no	—
318	C₄²	—	2	1	no	—
319	C₄²	—	4	2	no	—
320	C₄²	C₂²×C₄×C₁₁	1	2	yes	—
321	C₁₁	#23202	1	1	yes	characteristic, direct product factor, Sylow
322	C₂³	—	2	2	no	—
323	C₂³	—	2	4	no	—
324	C₂³	—	4	1	no	—
325	C₂³	—	4	2	no	—
326	C₂³	—	4	1	no	—
327	C₂³	—	4	2	no	—
328	C₂³	—	8	4	no	—
329	C₂³	—	8	2	no	—
330	C₂³	C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
331	Q₈	—	2	4	no	—
332	Q₈	—	4	2	no	—
333	D₄	—	2	4	no	—
334	D₄	—	2	4	no	—
335	D₄	—	2	4	no	—
336	D₄	—	4	2	no	—
337	D₄	—	4	2	no	—
338	D₄	—	4	2	no	—
339	D₄	—	8	8	no	—
340	C₂×C₄	—	2	2	no	—
341	C₂×C₄	—	2	2	no	—
342	C₂×C₄	—	2	4	no	—
343	C₂×C₄	—	2	4	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	1	no	—
347	C₂×C₄	—	16	2	no	—
348	C₂×C₄	—	16	4	no	—
349	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
350	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
351	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
352	C₂×C₄	C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
353	C₈	—	4	2	no	—
354	C₈	—	4	2	no	—
355	C₈	C₄×D₄×C₁₁	1	4	yes	—
356	C₈	C₄×D₄×C₁₁	1	4	yes	—
357	C₂²	—	2	2	no	—
358	C₂²	—	4	2	no	—
359	C₂²	—	4	4	no	—
360	C₂²	—	8	4	no	—
361	C₂²	—	8	2	no	—
362	C₂²	—	8	4	no	—
363	C₂²	—	8	2	no	—
364	C₂²	—	16	2	no	—
365	C₂²	—	16	1	no	—
366	C₂²	C₁₁×#518	1	1	yes	characteristic
367	C₂²	D₄²×C₁₁	1	1	yes	characteristic
368	C₂²	C₁₁×#559	1	1	yes	characteristic
369	C₄	—	4	2	no	—
370	C₄	—	4	4	no	—
371	C₄	—	4	4	no	—
372	C₄	—	4	2	no	—
373	C₄	C₂×C₄×D₄×C₁₁	1	2	yes	—
374	C₄	C₁₁×#550	1	2	yes	—
375	C₂	—	2	1	no	—
376	C₂	—	2	1	no	—
377	C₂	—	8	4	no	—
378	C₂	—	8	2	no	—
379	C₂	C₁₁×#2366	1	1	yes	characteristic
380	C₂	C₁₁×#3288	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₁	D₄²
commutator	C₂×C₄	C₂³×C₄×C₁₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₁
prime radical	C₂×C₁₁×#496	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₂²×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#2949	C₂	semidirect
3. C₁₁×#2948	C₂	semidirect
4. C₁₁×#1978	C₂	semidirect
5. C₁₁×#1977	C₂	semidirect
6. C₁₁×#1888	C₂	semidirect
7. C₁₁×#1887	C₂	semidirect
8. C₁₁×#1885	C₂	semidirect
9. C₁₁×#1773	C₂	semidirect
17. C₁₁×#496	C₄	semidirect
43. C₂×C₁₁×SD₁₆	C₂×C₄	semidirect
47. C₂×C₁₁×D₈	C₂×C₄	semidirect
52. C₁₁×#127	C₂×C₄	semidirect
54. C₁₁×#124	C₂×C₄	semidirect
67. C₁₁×#107	D₄	semidirect
68. C₁₁×#106	D₄	semidirect
78. C₁₁×#97	C₂×C₄	semidirect
81. #23202	C₁₁	direct (N × H)
133. #2949	C₂×C₁₁	semidirect
134. #2948	C₂×C₁₁	semidirect
135. #1978	C₂×C₁₁	semidirect
136. #1977	C₂×C₁₁	semidirect
137. #1888	C₂×C₁₁	semidirect
138. #1887	C₂×C₁₁	semidirect
139. #1885	C₂×C₁₁	semidirect
140. #1773	C₂×C₁₁	semidirect
183. #496	C₄×C₁₁	semidirect
227. C₂×SD₁₆	C₂×C₄×C₁₁	semidirect
231. C₂×D₈	C₂×C₄×C₁₁	semidirect
236. #127	C₂×C₄×C₁₁	semidirect
238. #124	C₂×C₄×C₁₁	semidirect
251. #107	D₄×C₁₁	semidirect
252. #106	D₄×C₁₁	semidirect
262. #97	C₂×C₄×C₁₁	semidirect
321. C₁₁	#23202	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×#496	2
C₁₁×#2949	2
C₁₁×#2948	2
C₁₁×#1978	2
C₁₁×#1977	2
C₁₁×#1888	2
C₁₁×#1887	2
C₁₁×#1885	2
C₁₁×#1773	2
#23202	11

Subgroups — C11×#23202 #14600395

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#23202 #14600395