Subgroups — C₁₁×#19258 #14596451

Order 2816.

738 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×#3169	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3109	C₂	1	2	yes	maximal, complemented
3	C₂×C₈×D₄×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#1677	C₂	1	4	yes	maximal, complemented
5	C₁₁×#1675	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1667	C₂	1	2	yes	maximal, complemented
7	C₁₁×#1568	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#1551	C₂	1	2	yes	maximal, complemented
9	C₂³×C₈×C₁₁	—	2	1	no	—
10	C₁₁×#532	C₂²	1	2	yes	—
11	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
12	C₁₁×#500	C₂²	1	1	yes	characteristic, complemented
13	C₁₁×#493	C₂²	1	1	yes	characteristic, complemented
14	C₁₁×#486	C₂²	1	2	yes	complemented
15	C₁₁×#481	—	2	2	no	—
16	C₁₁×#476	C₂²	1	4	yes	—
17	C₁₁×#466	—	2	1	no	—
18	C₁₁×#466	—	2	1	no	—
19	C₁₁×#459	C₂²	1	4	yes	—
20	C₁₁×#447	—	2	2	no	—
21	C₁₁×#442	—	2	4	no	—
22	C₄×C₁₁×D₈	—	2	1	no	—
23	C₄×C₁₁×D₈	—	2	1	no	—
24	C₈×D₄×C₁₁	—	2	1	no	—
25	C₈×D₄×C₁₁	—	2	1	no	—
26	C₈×D₄×C₁₁	C₂²	1	2	yes	—
27	C₈×D₄×C₁₁	C₂²	1	2	yes	—
28	C₁₁×#432	C₂²	1	2	yes	—
29	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×C₂²⋊C₈	—	2	1	no	—
31	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
32	C₁₁×#335	C₂²	1	2	yes	complemented
33	C₁₁×#334	C₂²	1	2	yes	complemented
34	C₁₁×#333	C₂²	1	4	yes	complemented
35	C₁₁×#331	C₂²	1	4	yes	complemented
36	C₂×C₁₁×#41	—	2	2	no	—
37	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
38	C₂³×C₄×C₁₁	—	2	1	no	—
39	C₂×C₁₁×D₈	—	2	4	no	—
40	C₂×C₁₁×D₈	—	2	1	no	—
41	C₂×C₁₁×D₈	—	2	1	no	—
42	C₂²×C₈×C₁₁	—	2	1	no	—
43	C₂²×C₈×C₁₁	—	2	2	no	—
44	C₂²×C₈×C₁₁	—	2	2	no	—
45	C₂²×C₈×C₁₁	—	4	4	no	—
46	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
47	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
48	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
49	C₁₁×#127	C₂³	1	2	yes	—
50	C₁₁×#124	—	2	2	no	—
51	C₁₁×#121	—	2	2	no	—
52	C₁₁×#121	—	2	2	no	—
53	C₄×D₄×C₁₁	—	2	1	no	—
54	C₄×D₄×C₁₁	—	2	2	no	—
55	C₄×D₄×C₁₁	—	2	2	no	—
56	C₄×D₄×C₁₁	—	2	1	no	—
57	C₄×D₄×C₁₁	D₄	1	2	yes	—
58	C₄×D₄×C₁₁	C₂³	1	2	yes	—
59	C₂×C₁₁×C₄⋊C₄	D₄	1	1	yes	characteristic
60	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
61	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
62	C₁₁×#107	—	2	1	no	—
63	C₁₁×#107	—	2	1	no	—
64	C₁₁×#106	—	2	4	no	—
65	C₁₁×C₄⋊C₈	—	2	1	no	—
66	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
67	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
68	C₁₁×#102	—	2	4	no	—
69	C₁₁×#102	—	2	2	no	—
70	C₁₁×#102	—	2	2	no	—
71	C₁₁×#102	—	2	4	no	—
72	C₁₁×C₂²⋊C₈	—	2	2	no	—
73	C₁₁×C₂²⋊C₈	—	2	2	no	—
74	C₁₁×C₂²⋊C₈	—	2	2	no	—
75	C₁₁×#97	—	2	2	no	—
76	C₄×C₈×C₁₁	D₄	1	1	yes	characteristic
77	C₄×C₈×C₁₁	D₄	1	1	yes	characteristic
78	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
79	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
80	#19258	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
81	C₂⁴×C₁₁	—	2	1	no	—
82	C₁₁×#41	—	8	4	no	—
83	C₂×Q₈×C₁₁	—	2	2	no	—
84	C₂×D₄×C₁₁	—	2	4	no	—
85	C₂×D₄×C₁₁	—	2	1	no	—
86	C₂×D₄×C₁₁	—	2	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	C₂×D₄	1	2	yes	—
91	C₂²×C₄×C₁₁	—	2	1	no	—
92	C₂²×C₄×C₁₁	—	2	2	no	—
93	C₂²×C₄×C₁₁	—	2	2	no	—
94	C₂²×C₄×C₁₁	—	4	2	no	—
95	C₂²×C₄×C₁₁	—	4	2	no	—
96	C₂²×C₄×C₁₁	—	4	2	no	—
97	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
100	C₁₁×D₈	—	4	2	no	—
101	C₁₁×D₈	—	4	2	no	—
102	C₁₁×D₈	—	4	8	no	—
103	C₂×C₈×C₁₁	—	2	2	no	—
104	C₂×C₈×C₁₁	—	2	4	no	—
105	C₂×C₈×C₁₁	—	2	2	no	—
106	C₂×C₈×C₁₁	—	4	1	no	—
107	C₂×C₈×C₁₁	—	4	2	no	—
108	C₂×C₈×C₁₁	—	4	4	no	—
109	C₂×C₈×C₁₁	—	4	4	no	—
110	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
112	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
113	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
114	C₁₁×C₄⋊C₄	—	2	1	no	—
115	C₁₁×C₄⋊C₄	—	2	2	no	—
116	C₁₁×C₄⋊C₄	—	2	2	no	—
117	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
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	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₁₁	#41	1	1	yes	characteristic
125	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
126	#3169	C₂×C₁₁	1	1	yes	characteristic, complemented
127	#3109	C₂×C₁₁	1	2	yes	complemented
128	C₂×C₈×D₄	C₂×C₁₁	1	1	yes	characteristic, complemented
129	#1677	C₂×C₁₁	1	4	yes	complemented
130	#1675	C₂×C₁₁	1	2	yes	complemented
131	#1667	C₂×C₁₁	1	2	yes	complemented
132	#1568	C₂×C₁₁	1	1	yes	characteristic, complemented
133	#1551	C₂×C₁₁	1	2	yes	complemented
134	C₂³×C₁₁	—	2	4	no	—
135	C₂³×C₁₁	—	2	2	no	—
136	C₂³×C₁₁	—	4	2	no	—
137	C₂³×C₁₁	—	4	2	no	—
138	C₂³×C₁₁	—	4	2	no	—
139	C₂³×C₁₁	#121	1	1	yes	characteristic
140	Q₈×C₁₁	—	8	2	no	—
141	D₄×C₁₁	—	2	4	no	—
142	D₄×C₁₁	—	2	2	no	—
143	D₄×C₁₁	—	4	4	no	—
144	D₄×C₁₁	—	4	2	no	—
145	D₄×C₁₁	—	4	2	no	—
146	D₄×C₁₁	—	8	2	no	—
147	D₄×C₁₁	—	8	4	no	—
148	D₄×C₁₁	#135	1	4	yes	—
149	C₂×C₄×C₁₁	—	2	2	no	—
150	C₂×C₄×C₁₁	—	2	2	no	—
151	C₂×C₄×C₁₁	—	2	1	no	—
152	C₂×C₄×C₁₁	—	2	1	no	—
153	C₂×C₄×C₁₁	—	2	2	no	—
154	C₂×C₄×C₁₁	—	4	4	no	—
155	C₂×C₄×C₁₁	—	4	2	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	—	8	4	no	—
160	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
161	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
162	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
163	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
164	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
166	C₈×C₁₁	—	2	1	no	—
167	C₈×C₁₁	—	2	1	no	—
168	C₈×C₁₁	—	2	1	no	—
169	C₈×C₁₁	—	4	4	no	—
170	C₈×C₁₁	—	4	2	no	—
171	C₈×C₁₁	AGL(1,ℤ/8)	1	2	yes	—
172	C₂³×C₈	—	2	1	no	—
173	#532	C₂²×C₁₁	1	2	yes	—
174	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
175	#500	C₂²×C₁₁	1	1	yes	characteristic, complemented
176	#493	C₂²×C₁₁	1	1	yes	characteristic, complemented
177	#486	C₂²×C₁₁	1	2	yes	complemented
178	#481	—	2	2	no	—
179	#476	C₂²×C₁₁	1	4	yes	—
180	#466	—	2	1	no	—
181	#466	—	2	1	no	—
182	#459	C₂²×C₁₁	1	4	yes	—
183	#447	—	2	2	no	—
184	#442	—	2	4	no	—
185	C₄×D₈	—	2	1	no	—
186	C₄×D₈	—	2	1	no	—
187	C₈×D₄	—	2	1	no	—
188	C₈×D₄	—	2	1	no	—
189	C₈×D₄	C₂²×C₁₁	1	2	yes	—
190	C₈×D₄	C₂²×C₁₁	1	2	yes	—
191	#432	C₂²×C₁₁	1	2	yes	—
192	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
193	C₂×C₂²⋊C₈	—	2	1	no	—
194	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
195	#335	C₂²×C₁₁	1	2	yes	complemented
196	#334	C₂²×C₁₁	1	2	yes	complemented
197	#333	C₂²×C₁₁	1	4	yes	complemented
198	#331	C₂²×C₁₁	1	4	yes	complemented
199	C₂²×C₁₁	—	2	1	no	—
200	C₂²×C₁₁	—	2	1	no	—
201	C₂²×C₁₁	—	2	4	no	—
202	C₂²×C₁₁	—	4	8	no	—
203	C₂²×C₁₁	—	4	2	no	—
204	C₂²×C₁₁	—	4	2	no	—
205	C₂²×C₁₁	—	8	2	no	—
206	C₂²×C₁₁	—	8	2	no	—
207	C₂²×C₁₁	—	8	2	no	—
208	C₂²×C₁₁	#472	1	2	yes	—
209	C₂²×C₁₁	C₂×#121	1	1	yes	characteristic
210	C₄×C₁₁	—	2	1	no	—
211	C₄×C₁₁	—	2	1	no	—
212	C₄×C₁₁	—	2	1	no	—
213	C₄×C₁₁	—	2	1	no	—
214	C₄×C₁₁	—	4	2	no	—
215	C₄×C₁₁	—	8	2	no	—
216	C₄×C₁₁	C₂×#135	1	2	yes	—
217	C₄×C₁₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
218	C₄×C₁₁	#575	1	1	yes	characteristic
219	C₂×#41	—	2	2	no	—
220	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
221	C₂³×C₄	—	2	1	no	—
222	C₂×D₈	—	2	4	no	—
223	C₂×D₈	—	2	1	no	—
224	C₂×D₈	—	2	1	no	—
225	C₂²×C₈	—	2	1	no	—
226	C₂²×C₈	—	2	2	no	—
227	C₂²×C₈	—	2	2	no	—
228	C₂²×C₈	—	4	4	no	—
229	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
230	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
231	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
232	#127	C₂³×C₁₁	1	2	yes	—
233	#124	—	2	2	no	—
234	#121	—	2	2	no	—
235	#121	—	2	2	no	—
236	C₄×D₄	—	2	1	no	—
237	C₄×D₄	—	2	2	no	—
238	C₄×D₄	—	2	2	no	—
239	C₄×D₄	—	2	1	no	—
240	C₄×D₄	D₄×C₁₁	1	2	yes	—
241	C₄×D₄	C₂³×C₁₁	1	2	yes	—
242	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
243	C₂×C₂²⋊C₄	—	2	1	no	—
244	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
245	#107	—	2	1	no	—
246	#107	—	2	1	no	—
247	#106	—	2	4	no	—
248	C₄⋊C₈	—	2	1	no	—
249	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
250	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
251	#102	—	2	4	no	—
252	#102	—	2	2	no	—
253	#102	—	2	2	no	—
254	#102	—	2	4	no	—
255	C₂²⋊C₈	—	2	2	no	—
256	C₂²⋊C₈	—	2	2	no	—
257	C₂²⋊C₈	—	2	2	no	—
258	#97	—	2	2	no	—
259	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
260	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
261	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
262	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
263	C₂×C₁₁	—	2	2	no	—
264	C₂×C₁₁	—	4	4	no	—
265	C₂×C₁₁	—	16	2	no	—
266	C₂×C₁₁	#3036	1	1	yes	characteristic
267	C₂×C₁₁	#3050	1	1	yes	characteristic
268	C₂×C₁₁	C₂×#472	1	1	yes	characteristic
269	C₂⁴	—	2	1	no	—
270	#41	—	8	4	no	—
271	C₂×Q₈	—	2	2	no	—
272	C₂×D₄	—	2	4	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	2	2	no	—
275	C₂×D₄	—	2	2	no	—
276	C₂×D₄	—	2	2	no	—
277	C₂×D₄	—	4	2	no	—
278	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
279	C₂²×C₄	—	2	1	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	—	2	2	no	—
282	C₂²×C₄	—	4	2	no	—
283	C₂²×C₄	—	4	2	no	—
284	C₂²×C₄	—	4	2	no	—
285	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
286	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
287	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
288	D₈	—	4	2	no	—
289	D₈	—	4	8	no	—
290	D₈	—	4	2	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	2	4	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	4	1	no	—
295	C₂×C₈	—	4	4	no	—
296	C₂×C₈	—	4	2	no	—
297	C₂×C₈	—	4	4	no	—
298	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
299	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
300	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
301	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
302	C₄⋊C₄	—	2	1	no	—
303	C₄⋊C₄	—	2	2	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
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	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
311	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
312	C₄²	C₁₁×#41	1	1	yes	characteristic
313	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
314	C₁₁	#19258	1	1	yes	characteristic, direct product factor, Sylow
315	C₂³	—	2	4	no	—
316	C₂³	—	2	2	no	—
317	C₂³	—	4	2	no	—
318	C₂³	—	4	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	C₁₁×#121	1	1	yes	characteristic
321	Q₈	—	8	2	no	—
322	D₄	—	2	4	no	—
323	D₄	—	2	2	no	—
324	D₄	—	4	4	no	—
325	D₄	—	4	2	no	—
326	D₄	—	4	2	no	—
327	D₄	—	8	2	no	—
328	D₄	—	8	4	no	—
329	D₄	C₁₁×#135	1	4	yes	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	2	1	no	—
333	C₂×C₄	—	2	1	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	4	4	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	8	4	no	—
341	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
342	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
343	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
344	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
345	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
346	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
347	C₈	—	2	1	no	—
348	C₈	—	2	1	no	—
349	C₈	—	2	1	no	—
350	C₈	—	4	4	no	—
351	C₈	—	4	2	no	—
352	C₈	C₁₁×AGL(1,ℤ/8)	1	2	yes	—
353	C₂²	—	2	1	no	—
354	C₂²	—	2	1	no	—
355	C₂²	—	2	4	no	—
356	C₂²	—	4	8	no	—
357	C₂²	—	4	2	no	—
358	C₂²	—	4	2	no	—
359	C₂²	—	8	2	no	—
360	C₂²	—	8	2	no	—
361	C₂²	—	8	2	no	—
362	C₂²	C₁₁×#472	1	2	yes	—
363	C₂²	C₂×C₁₁×#121	1	1	yes	characteristic
364	C₄	—	2	1	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	2	1	no	—
368	C₄	—	4	2	no	—
369	C₄	—	8	2	no	—
370	C₄	C₂×C₁₁×#135	1	2	yes	—
371	C₄	C₂×C₁₁×AGL(1,ℤ/8)	1	1	yes	characteristic
372	C₄	C₁₁×#575	1	1	yes	characteristic
373	C₂	—	2	2	no	—
374	C₂	—	4	4	no	—
375	C₂	—	16	2	no	—
376	C₂	C₁₁×#3036	1	1	yes	characteristic
377	C₂	C₁₁×#3050	1	1	yes	characteristic
378	C₂	C₂×C₁₁×#472	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₁
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₂×C₄²×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3169	C₂	semidirect
2. C₁₁×#3109	C₂	semidirect
3. C₂×C₈×D₄×C₁₁	C₂	semidirect
4. C₁₁×#1677	C₂	semidirect
5. C₁₁×#1675	C₂	semidirect
6. C₁₁×#1667	C₂	semidirect
7. C₁₁×#1568	C₂	semidirect
8. C₁₁×#1551	C₂	semidirect
12. C₁₁×#500	C₂²	semidirect
13. C₁₁×#493	C₂²	semidirect
14. C₁₁×#486	C₂²	semidirect
32. C₁₁×#335	C₂²	semidirect
33. C₁₁×#334	C₂²	semidirect
34. C₁₁×#333	C₂²	semidirect
35. C₁₁×#331	C₂²	semidirect
80. #19258	C₁₁	direct (N × H)
126. #3169	C₂×C₁₁	semidirect
127. #3109	C₂×C₁₁	semidirect
128. C₂×C₈×D₄	C₂×C₁₁	semidirect
129. #1677	C₂×C₁₁	semidirect
130. #1675	C₂×C₁₁	semidirect
131. #1667	C₂×C₁₁	semidirect
132. #1568	C₂×C₁₁	semidirect
133. #1551	C₂×C₁₁	semidirect
175. #500	C₂²×C₁₁	semidirect
176. #493	C₂²×C₁₁	semidirect
177. #486	C₂²×C₁₁	semidirect
195. #335	C₂²×C₁₁	semidirect
196. #334	C₂²×C₁₁	semidirect
197. #333	C₂²×C₁₁	semidirect
198. #331	C₂²×C₁₁	semidirect
314. C₁₁	#19258	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×#3169	2
C₁₁×#3109	2
C₂×C₈×D₄×C₁₁	2
C₁₁×#1677	2
C₁₁×#1675	2
C₁₁×#1667	2
C₁₁×#1568	2
C₁₁×#1551	2
#19258	11

Subgroups — C11×#19258 #14596451

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#19258 #14596451