Subgroups — C₁₁×#23362 #14600555

Order 2816.

706 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3153	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#1905	C₂	1	2	yes	maximal, complemented
3	C₁₁×#1904	C₂	1	2	yes	maximal, complemented
4	C₁₁×#1903	C₂	1	2	yes	maximal, complemented
5	C₁₁×#1902	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1888	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1885	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#1884	C₂	1	2	yes	maximal, complemented
9	C₁₁×#1841	C₂	1	2	yes	maximal, complemented
10	C₂×C₁₁×#137	C₂²	1	2	yes	—
11	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
12	C₁₁×#568	C₂²	1	2	yes	—
13	C₁₁×#532	C₂²	1	1	yes	characteristic
14	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
15	C₁₁×#519	C₂²	1	1	yes	characteristic
16	C₁₁×#518	C₂²	1	1	yes	characteristic
17	C₁₁×#497	C₄	1	2	yes	complemented
18	C₁₁×#496	C₄	1	2	yes	complemented
19	C₁₁×#495	C₄	1	4	yes	complemented
20	C₁₁×#421	C₂²	1	2	yes	—
21	C₁₁×#421	C₂²	1	2	yes	—
22	C₁₁×#419	C₂²	1	2	yes	—
23	C₁₁×#418	C₂²	1	2	yes	—
24	C₂×C₁₁×#101	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#100	C₂²	1	1	yes	characteristic
26	C₁₁×#410	C₂²	1	2	yes	—
27	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
28	C₁₁×#344	C₂²	1	2	yes	—
29	C₁₁×#344	C₂²	1	2	yes	—
30	C₁₁×#339	C₂²	1	2	yes	—
31	C₁₁×#339	C₂²	1	2	yes	—
32	C₁₁×#338	C₂²	1	2	yes	—
33	C₁₁×H(3,ℤ/4)	C₂²	1	2	yes	—
34	C₂×C₁₁×#41	C₂³	1	2	yes	—
35	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
36	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
37	C₁₁×#137	—	4	2	no	—
38	C₁₁×#137	—	4	2	no	—
39	C₁₁×AGL(1,ℤ/8)	—	4	2	no	—
40	C₁₁×AGL(1,ℤ/8)	—	4	2	no	—
41	C₂×C₁₁×Q₁₆	C₂×C₄	1	4	yes	complemented
42	C₂×C₁₁×SD₁₆	C₂×C₄	1	4	yes	—
43	C₂×C₁₁×SD₁₆	C₂×C₄	1	4	yes	complemented
44	C₂×C₁₁×D₈	C₂×C₄	1	4	yes	—
45	C₁₁×#131	—	4	2	no	—
46	C₁₁×#131	—	4	2	no	—
47	C₂×C₁₁×M₁₆	—	4	2	no	—
48	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
49	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
50	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
51	C₁₁×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
52	C₁₁×#127	C₂×C₄	1	1	yes	characteristic, complemented
53	C₁₁×#124	—	4	1	no	—
54	C₁₁×#124	C₂×C₄	1	2	yes	—
55	C₁₁×#124	C₂×C₄	1	2	yes	—
56	C₁₁×#124	C₂×C₄	1	2	yes	complemented
57	C₁₁×#121	—	4	1	no	—
58	C₄×Q₈×C₁₁	—	4	2	no	—
59	C₄×D₄×C₁₁	—	4	2	no	—
60	C₄×D₄×C₁₁	—	4	1	no	—
61	C₁₁×#117	—	4	1	no	—
62	C₁₁×#117	C₂³	1	2	yes	—
63	C₁₁×#117	C₂³	1	2	yes	—
64	C₂×C₁₁×C₂²⋊C₄	—	4	1	no	—
65	C₂×C₁₁×C₂²⋊C₄	—	4	1	no	—
66	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
67	C₁₁×#104	—	4	2	no	—
68	C₁₁×#104	—	4	2	no	—
69	C₁₁×#103	—	4	2	no	—
70	C₁₁×#102	—	4	2	no	—
71	C₁₁×#101	—	4	1	no	—
72	C₁₁×#100	—	4	1	no	—
73	C₁₁×#99	—	4	2	no	—
74	C₁₁×#97	C₂×C₄	1	2	yes	complemented
75	C₄×C₈×C₁₁	C₂×C₄	1	2	yes	complemented
76	#23362	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
77	C₂⁴×C₁₁	—	2	1	no	—
78	C₁₁×#41	—	2	2	no	—
79	C₁₁×#41	—	2	2	no	—
80	C₁₁×#41	—	2	2	no	—
81	C₁₁×#41	—	2	2	no	—
82	C₂×Q₈×C₁₁	—	2	1	no	—
83	C₂×Q₈×C₁₁	—	2	2	no	—
84	C₂×Q₈×C₁₁	—	2	2	no	—
85	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
86	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
87	C₂×D₄×C₁₁	—	2	2	no	—
88	C₂×D₄×C₁₁	—	2	2	no	—
89	C₂×D₄×C₁₁	—	2	2	no	—
90	C₂×D₄×C₁₁	—	2	1	no	—
91	C₂×D₄×C₁₁	—	4	1	no	—
92	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
93	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
94	C₂²×C₄×C₁₁	—	2	1	no	—
95	C₂²×C₄×C₁₁	—	2	1	no	—
96	C₂²×C₄×C₁₁	—	2	2	no	—
97	C₂²×C₄×C₁₁	—	4	2	no	—
98	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
99	C₁₁×Q₁₆	—	4	4	no	—
100	C₁₁×SD₁₆	—	4	4	no	—
101	C₁₁×SD₁₆	—	4	4	no	—
102	C₁₁×D₈	—	4	4	no	—
103	C₁₁×M₁₆	—	2	2	no	—
104	C₁₁×M₁₆	—	2	2	no	—
105	C₁₁×M₁₆	—	2	2	no	—
106	C₁₁×M₁₆	—	2	2	no	—
107	C₁₁×M₁₆	—	2	2	no	—
108	C₁₁×M₁₆	—	2	2	no	—
109	C₁₁×M₁₆	—	4	4	no	—
110	C₂×C₈×C₁₁	—	2	2	no	—
111	C₂×C₈×C₁₁	—	2	2	no	—
112	C₂×C₈×C₁₁	—	4	4	no	—
113	C₂×C₈×C₁₁	C₂²×C₄	1	4	yes	—
114	C₁₁×C₄⋊C₄	—	2	2	no	—
115	C₁₁×C₄⋊C₄	—	2	2	no	—
116	C₁₁×C₄⋊C₄	—	4	1	no	—
117	C₁₁×C₄⋊C₄	—	4	2	no	—
118	C₁₁×C₂²⋊C₄	—	2	2	no	—
119	C₁₁×C₂²⋊C₄	—	2	2	no	—
120	C₁₁×C₂²⋊C₄	—	4	2	no	—
121	C₁₁×C₂²⋊C₄	—	4	2	no	—
122	C₁₁×C₂²⋊C₄	—	4	2	no	—
123	C₁₁×C₂²⋊C₄	—	4	2	no	—
124	C₄²×C₁₁	—	2	1	no	—
125	C₄²×C₁₁	—	2	2	no	—
126	C₄²×C₁₁	—	2	2	no	—
127	C₄²×C₁₁	—	4	2	no	—
128	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
129	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
130	#3153	C₂×C₁₁	1	1	yes	characteristic
131	#1905	C₂×C₁₁	1	2	yes	complemented
132	#1904	C₂×C₁₁	1	2	yes	complemented
133	#1903	C₂×C₁₁	1	2	yes	complemented
134	#1902	C₂×C₁₁	1	2	yes	complemented
135	#1888	C₂×C₁₁	1	1	yes	characteristic, complemented
136	#1885	C₂×C₁₁	1	1	yes	characteristic, complemented
137	#1884	C₂×C₁₁	1	2	yes	complemented
138	#1841	C₂×C₁₁	1	2	yes	complemented
139	C₂³×C₁₁	—	2	2	no	—
140	C₂³×C₁₁	—	2	2	no	—
141	C₂³×C₁₁	—	4	1	no	—
142	C₂³×C₁₁	—	4	1	no	—
143	C₂³×C₁₁	—	8	2	no	—
144	C₂³×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
145	Q₈×C₁₁	—	2	2	no	—
146	Q₈×C₁₁	—	2	4	no	—
147	Q₈×C₁₁	—	2	2	no	—
148	Q₈×C₁₁	—	4	2	no	—
149	D₄×C₁₁	—	2	2	no	—
150	D₄×C₁₁	—	2	4	no	—
151	D₄×C₁₁	—	2	2	no	—
152	D₄×C₁₁	—	4	2	no	—
153	D₄×C₁₁	—	4	2	no	—
154	D₄×C₁₁	—	4	2	no	—
155	D₄×C₁₁	—	8	2	no	—
156	C₂×C₄×C₁₁	—	2	1	no	—
157	C₂×C₄×C₁₁	—	2	1	no	—
158	C₂×C₄×C₁₁	—	2	2	no	—
159	C₂×C₄×C₁₁	—	2	2	no	—
160	C₂×C₄×C₁₁	—	4	1	no	—
161	C₂×C₄×C₁₁	—	4	1	no	—
162	C₂×C₄×C₁₁	—	4	2	no	—
163	C₂×C₄×C₁₁	—	4	2	no	—
164	C₂×C₄×C₁₁	—	4	2	no	—
165	C₂×C₄×C₁₁	—	4	2	no	—
166	C₂×C₄×C₁₁	—	8	1	no	—
167	C₂×C₄×C₁₁	—	16	2	no	—
168	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
169	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
170	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
171	C₂×C₄×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
172	C₈×C₁₁	—	2	4	no	—
173	C₈×C₁₁	—	4	2	no	—
174	C₈×C₁₁	—	4	2	no	—
175	C₂×#137	C₂²×C₁₁	1	2	yes	—
176	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
177	#568	C₂²×C₁₁	1	2	yes	—
178	#532	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	#497	C₄×C₁₁	1	2	yes	complemented
183	#496	C₄×C₁₁	1	2	yes	complemented
184	#495	C₄×C₁₁	1	4	yes	complemented
185	#421	C₂²×C₁₁	1	2	yes	—
186	#421	C₂²×C₁₁	1	2	yes	—
187	#419	C₂²×C₁₁	1	2	yes	—
188	#418	C₂²×C₁₁	1	2	yes	—
189	C₂×#101	C₂²×C₁₁	1	1	yes	characteristic
190	C₂×#100	C₂²×C₁₁	1	1	yes	characteristic
191	#410	C₂²×C₁₁	1	2	yes	—
192	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
193	#344	C₂²×C₁₁	1	2	yes	—
194	#344	C₂²×C₁₁	1	2	yes	—
195	#339	C₂²×C₁₁	1	2	yes	—
196	#339	C₂²×C₁₁	1	2	yes	—
197	#338	C₂²×C₁₁	1	2	yes	—
198	H(3,ℤ/4)	C₂²×C₁₁	1	2	yes	—
199	C₂²×C₁₁	—	4	1	no	—
200	C₂²×C₁₁	—	4	2	no	—
201	C₂²×C₁₁	—	4	2	no	—
202	C₂²×C₁₁	—	8	2	no	—
203	C₂²×C₁₁	—	8	2	no	—
204	C₂²×C₁₁	—	8	2	no	—
205	C₂²×C₁₁	—	16	1	no	—
206	C₂²×C₁₁	#518	1	1	yes	characteristic
207	C₂²×C₁₁	#560	1	1	yes	characteristic
208	C₂²×C₁₁	#560	1	1	yes	characteristic
209	C₄×C₁₁	—	4	1	no	—
210	C₄×C₁₁	—	4	1	no	—
211	C₄×C₁₁	—	4	2	no	—
212	C₄×C₁₁	—	4	2	no	—
213	C₄×C₁₁	—	8	2	no	—
214	C₄×C₁₁	—	8	2	no	—
215	C₄×C₁₁	#518	1	2	yes	—
216	C₄×C₁₁	#560	1	2	yes	—
217	C₂×#41	C₂³×C₁₁	1	2	yes	—
218	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
219	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
220	#137	—	4	2	no	—
221	#137	—	4	2	no	—
222	AGL(1,ℤ/8)	—	4	2	no	—
223	AGL(1,ℤ/8)	—	4	2	no	—
224	C₂×Q₁₆	C₂×C₄×C₁₁	1	4	yes	complemented
225	C₂×SD₁₆	C₂×C₄×C₁₁	1	4	yes	—
226	C₂×SD₁₆	C₂×C₄×C₁₁	1	4	yes	complemented
227	C₂×D₈	C₂×C₄×C₁₁	1	4	yes	—
228	#131	—	4	2	no	—
229	#131	—	4	2	no	—
230	C₂×M₁₆	—	4	2	no	—
231	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
232	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
233	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
234	C₄⋊Q₈	C₂×C₄×C₁₁	1	1	yes	characteristic, complemented
235	#127	C₂×C₄×C₁₁	1	1	yes	characteristic, complemented
236	#124	—	4	1	no	—
237	#124	C₂×C₄×C₁₁	1	2	yes	—
238	#124	C₂×C₄×C₁₁	1	2	yes	—
239	#124	C₂×C₄×C₁₁	1	2	yes	complemented
240	#121	—	4	1	no	—
241	C₄×Q₈	—	4	2	no	—
242	C₄×D₄	—	4	2	no	—
243	C₄×D₄	—	4	1	no	—
244	#117	—	4	1	no	—
245	#117	C₂³×C₁₁	1	2	yes	—
246	#117	C₂³×C₁₁	1	2	yes	—
247	C₂×C₂²⋊C₄	—	4	1	no	—
248	C₂×C₂²⋊C₄	—	4	1	no	—
249	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
250	#104	—	4	2	no	—
251	#104	—	4	2	no	—
252	#103	—	4	2	no	—
253	#102	—	4	2	no	—
254	#101	—	4	1	no	—
255	#100	—	4	1	no	—
256	#99	—	4	2	no	—
257	#97	C₂×C₄×C₁₁	1	2	yes	complemented
258	C₄×C₈	C₂×C₄×C₁₁	1	2	yes	complemented
259	C₂×C₁₁	—	2	1	no	—
260	C₂×C₁₁	—	2	1	no	—
261	C₂×C₁₁	—	2	1	no	—
262	C₂×C₁₁	—	8	2	no	—
263	C₂×C₁₁	—	8	2	no	—
264	C₂×C₁₁	#2380	1	1	yes	characteristic
265	C₂⁴	—	2	1	no	—
266	#41	—	2	2	no	—
267	#41	—	2	2	no	—
268	#41	—	2	2	no	—
269	#41	—	2	2	no	—
270	C₂×Q₈	—	2	1	no	—
271	C₂×Q₈	—	2	2	no	—
272	C₂×Q₈	—	2	2	no	—
273	C₂×Q₈	C₂²×C₄×C₁₁	1	2	yes	—
274	C₂×Q₈	C₂²×C₄×C₁₁	1	2	yes	—
275	C₂×D₄	—	2	2	no	—
276	C₂×D₄	—	2	2	no	—
277	C₂×D₄	—	2	2	no	—
278	C₂×D₄	—	2	1	no	—
279	C₂×D₄	—	4	1	no	—
280	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
281	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
282	C₂²×C₄	—	2	1	no	—
283	C₂²×C₄	—	2	1	no	—
284	C₂²×C₄	—	2	2	no	—
285	C₂²×C₄	—	4	2	no	—
286	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
287	Q₁₆	—	4	4	no	—
288	SD₁₆	—	4	4	no	—
289	SD₁₆	—	4	4	no	—
290	D₈	—	4	4	no	—
291	M₁₆	—	2	2	no	—
292	M₁₆	—	2	2	no	—
293	M₁₆	—	2	2	no	—
294	M₁₆	—	2	2	no	—
295	M₁₆	—	2	2	no	—
296	M₁₆	—	2	2	no	—
297	M₁₆	—	4	4	no	—
298	C₂×C₈	—	2	2	no	—
299	C₂×C₈	—	2	2	no	—
300	C₂×C₈	—	4	4	no	—
301	C₂×C₈	C₂²×C₄×C₁₁	1	4	yes	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	2	2	no	—
304	C₄⋊C₄	—	4	1	no	—
305	C₄⋊C₄	—	4	2	no	—
306	C₂²⋊C₄	—	2	2	no	—
307	C₂²⋊C₄	—	2	2	no	—
308	C₂²⋊C₄	—	4	2	no	—
309	C₂²⋊C₄	—	4	2	no	—
310	C₂²⋊C₄	—	4	2	no	—
311	C₂²⋊C₄	—	4	2	no	—
312	C₄²	—	2	1	no	—
313	C₄²	—	2	2	no	—
314	C₄²	—	2	2	no	—
315	C₄²	—	4	2	no	—
316	C₄²	C₂²×C₄×C₁₁	1	1	yes	characteristic
317	C₄²	C₂²×C₄×C₁₁	1	1	yes	characteristic
318	C₁₁	#23362	1	1	yes	characteristic, direct product factor, Sylow
319	C₂³	—	2	2	no	—
320	C₂³	—	2	2	no	—
321	C₂³	—	4	1	no	—
322	C₂³	—	4	1	no	—
323	C₂³	—	8	2	no	—
324	C₂³	C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
325	Q₈	—	2	2	no	—
326	Q₈	—	2	4	no	—
327	Q₈	—	2	2	no	—
328	Q₈	—	4	2	no	—
329	D₄	—	2	2	no	—
330	D₄	—	2	4	no	—
331	D₄	—	2	2	no	—
332	D₄	—	4	2	no	—
333	D₄	—	4	2	no	—
334	D₄	—	4	2	no	—
335	D₄	—	8	2	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	2	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	4	1	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	8	1	no	—
347	C₂×C₄	—	16	2	no	—
348	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
349	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
350	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
351	C₂×C₄	C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
352	C₈	—	2	4	no	—
353	C₈	—	4	2	no	—
354	C₈	—	4	2	no	—
355	C₂²	—	4	1	no	—
356	C₂²	—	4	2	no	—
357	C₂²	—	4	2	no	—
358	C₂²	—	8	2	no	—
359	C₂²	—	8	2	no	—
360	C₂²	—	8	2	no	—
361	C₂²	—	16	1	no	—
362	C₂²	C₁₁×#518	1	1	yes	characteristic
363	C₂²	C₁₁×#560	1	1	yes	characteristic
364	C₂²	C₁₁×#560	1	1	yes	characteristic
365	C₄	—	4	1	no	—
366	C₄	—	4	1	no	—
367	C₄	—	4	2	no	—
368	C₄	—	4	2	no	—
369	C₄	—	8	2	no	—
370	C₄	—	8	2	no	—
371	C₄	C₁₁×#518	1	2	yes	—
372	C₄	C₁₁×#560	1	2	yes	—
373	C₂	—	2	1	no	—
374	C₂	—	2	1	no	—
375	C₂	—	2	1	no	—
376	C₂	—	8	2	no	—
377	C₂	—	8	2	no	—
378	C₂	C₁₁×#2380	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂×C₁₁	#2380
commutator	C₂×C₄	C₂³×C₄×C₁₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₁
prime radical	C₁₁×#3153	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₁₁ ◁ C₂²×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#1905	C₂	semidirect
3. C₁₁×#1904	C₂	semidirect
4. C₁₁×#1903	C₂	semidirect
5. C₁₁×#1902	C₂	semidirect
6. C₁₁×#1888	C₂	semidirect
7. C₁₁×#1885	C₂	semidirect
8. C₁₁×#1884	C₂	semidirect
9. C₁₁×#1841	C₂	semidirect
17. C₁₁×#497	C₄	semidirect
18. C₁₁×#496	C₄	semidirect
19. C₁₁×#495	C₄	semidirect
41. C₂×C₁₁×Q₁₆	C₂×C₄	semidirect
43. C₂×C₁₁×SD₁₆	C₂×C₄	semidirect
51. C₁₁×C₄⋊Q₈	C₂×C₄	semidirect
52. C₁₁×#127	C₂×C₄	semidirect
56. C₁₁×#124	C₂×C₄	semidirect
74. C₁₁×#97	C₂×C₄	semidirect
75. C₄×C₈×C₁₁	C₂×C₄	semidirect
76. #23362	C₁₁	direct (N × H)
131. #1905	C₂×C₁₁	semidirect
132. #1904	C₂×C₁₁	semidirect
133. #1903	C₂×C₁₁	semidirect
134. #1902	C₂×C₁₁	semidirect
135. #1888	C₂×C₁₁	semidirect
136. #1885	C₂×C₁₁	semidirect
137. #1884	C₂×C₁₁	semidirect
138. #1841	C₂×C₁₁	semidirect
182. #497	C₄×C₁₁	semidirect
183. #496	C₄×C₁₁	semidirect
184. #495	C₄×C₁₁	semidirect
224. C₂×Q₁₆	C₂×C₄×C₁₁	semidirect
226. C₂×SD₁₆	C₂×C₄×C₁₁	semidirect
234. C₄⋊Q₈	C₂×C₄×C₁₁	semidirect
235. #127	C₂×C₄×C₁₁	semidirect
239. #124	C₂×C₄×C₁₁	semidirect
257. #97	C₂×C₄×C₁₁	semidirect
258. C₄×C₈	C₂×C₄×C₁₁	semidirect
318. C₁₁	#23362	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×#3153	2
C₁₁×#1905	2
C₁₁×#1904	2
C₁₁×#1903	2
C₁₁×#1902	2
C₁₁×#1888	2
C₁₁×#1885	2
C₁₁×#1884	2
C₁₁×#1841	2
#23362	11

Subgroups — C11×#23362 #14600555

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#23362 #14600555