Subgroups — C₁₁×#36583 #14613776

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₁×#550	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#2858	C₂	1	3	yes	maximal, complemented
4	C₁₁×#2548	C₂	1	3	yes	maximal, complemented
5	C₁₁×#2547	C₂	1	3	yes	maximal, complemented
6	C₁₁×#2490	C₂	1	12	yes	maximal, complemented
7	C₁₁×#2341	C₂	1	4	yes	maximal, complemented
8	C₄×C₁₁×#124	C₂	1	3	yes	maximal, complemented
9	C₄²×Q₈×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×C₁₁×#41	C₂²	1	2	yes	—
11	C₁₁×#557	—	2	8	no	—
12	C₁₁×#550	—	2	8	no	—
13	C₂×C₁₁×C₄⋊Q₈	C₂²	1	3	yes	—
14	C₂×C₁₁×#127	C₂²	1	3	yes	—
15	C₂×C₁₁×#125	C₂²	1	6	yes	—
16	C₂×C₁₁×#124	C₂²	1	3	yes	—
17	C₂×C₁₁×#124	C₂²	1	6	yes	—
18	C₂×C₁₁×#121	C₂²	1	6	yes	—
19	C₂×C₄×Q₈×C₁₁	C₂²	1	3	yes	—
20	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
21	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
22	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
23	C₂×C₄×D₄×C₁₁	C₂²	1	3	yes	—
24	C₁₁×#397	C₂²	1	12	yes	—
25	C₁₁×#394	C₂²	1	12	yes	—
26	C₁₁×#391	C₂²	1	3	yes	—
27	C₁₁×#390	C₂²	1	12	yes	—
28	C₁₁×#390	C₂²	1	12	yes	—
29	C₁₁×#390	C₂²	1	12	yes	—
30	C₁₁×#390	C₂²	1	3	yes	—
31	C₁₁×#388	C₂²	1	12	yes	—
32	C₁₁×#382	C₂²	1	1	yes	characteristic
33	C₁₁×#380	C₂²	1	12	yes	—
34	C₄×C₁₁×C₄⋊C₄	C₂²	1	6	yes	—
35	C₄×C₁₁×C₄⋊C₄	C₂²	1	3	yes	—
36	C₄×C₁₁×C₂²⋊C₄	C₂²	1	12	yes	—
37	C₄³×C₁₁	C₂²	1	3	yes	—
38	C₂×C₁₁×#41	—	2	8	no	—
39	C₂×C₁₁×#41	—	2	16	no	—
40	C₂²×Q₈×C₁₁	C₂³	1	3	yes	—
41	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
42	C₂²×D₄×C₁₁	C₂³	1	3	yes	—
43	C₂²×D₄×C₁₁	C₂³	1	6	yes	—
44	C₂²×D₄×C₁₁	C₂³	1	6	yes	—
45	C₂³×C₄×C₁₁	C₂³	1	6	yes	—
46	C₁₁×C₄⋊Q₈	—	2	12	no	—
47	C₁₁×#127	—	2	12	no	—
48	C₁₁×#125	—	2	24	no	—
49	C₁₁×#124	—	2	12	no	—
50	C₁₁×#124	—	4	12	no	—
51	C₁₁×#121	—	2	24	no	—
52	C₄×Q₈×C₁₁	—	2	8	no	—
53	C₄×Q₈×C₁₁	—	2	8	no	—
54	C₄×Q₈×C₁₁	—	2	12	no	—
55	C₄×Q₈×C₁₁	D₄	1	8	yes	—
56	C₄×D₄×C₁₁	—	2	12	no	—
57	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
58	C₂×C₁₁×C₄⋊C₄	C₂³	1	6	yes	—
59	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
60	C₂×C₁₁×C₄⋊C₄	C₂³	1	6	yes	—
61	C₂×C₁₁×C₄⋊C₄	C₂³	1	6	yes	—
62	C₂×C₁₁×C₄⋊C₄	C₂³	1	6	yes	—
63	C₂×C₁₁×C₄⋊C₄	C₂³	1	3	yes	—
64	C₂×C₁₁×C₂²⋊C₄	C₂³	1	12	yes	—
65	C₂×C₁₁×C₂²⋊C₄	C₂³	1	6	yes	—
66	C₂×C₁₁×C₂²⋊C₄	C₂³	1	12	yes	—
67	C₂×C₁₁×C₂²⋊C₄	C₂³	1	24	yes	—
68	C₂×C₄²×C₁₁	C₂³	1	6	yes	—
69	C₂×C₄²×C₁₁	C₂³	1	3	yes	—
70	C₂×C₄²×C₁₁	C₂³	1	6	yes	—
71	C₂×C₄²×C₁₁	C₂³	1	6	yes	—
72	C₂×C₄²×C₁₁	C₂³	1	3	yes	—
73	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
74	C₁₁×#95	C₂³	1	4	yes	—
75	C₁₁×#95	C₂³	1	12	yes	—
76	C₁₁×#95	C₂³	1	6	yes	—
77	#36583	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
78	C₂⁴×C₁₁	C₂⁴	1	6	yes	—
79	C₁₁×#41	—	4	32	no	—
80	C₂×Q₈×C₁₁	—	2	6	no	—
81	C₂×Q₈×C₁₁	—	2	6	no	—
82	C₂×Q₈×C₁₁	—	2	6	no	—
83	C₂×Q₈×C₁₁	C₂×D₄	1	4	yes	—
84	C₂×Q₈×C₁₁	#41	1	8	yes	—
85	C₂×D₄×C₁₁	—	2	6	no	—
86	C₂×D₄×C₁₁	—	2	12	no	—
87	C₂×D₄×C₁₁	—	2	12	no	—
88	C₂×D₄×C₁₁	—	2	6	no	—
89	C₂×D₄×C₁₁	—	2	24	no	—
90	C₂×D₄×C₁₁	—	2	6	no	—
91	C₂×D₄×C₁₁	—	4	12	no	—
92	C₂²×C₄×C₁₁	—	2	12	no	—
93	C₂²×C₄×C₁₁	—	2	24	no	—
94	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
95	C₂²×C₄×C₁₁	C₂⁴	1	6	yes	—
96	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
97	C₂²×C₄×C₁₁	C₂⁴	1	6	yes	—
98	C₂²×C₄×C₁₁	C₂⁴	1	3	yes	—
99	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
100	C₂²×C₄×C₁₁	C₂⁴	1	3	yes	—
101	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
102	C₁₁×C₄⋊C₄	—	2	2	no	—
103	C₁₁×C₄⋊C₄	—	2	2	no	—
104	C₁₁×C₄⋊C₄	—	2	12	no	—
105	C₁₁×C₄⋊C₄	—	2	12	no	—
106	C₁₁×C₄⋊C₄	—	2	12	no	—
107	C₁₁×C₄⋊C₄	—	2	12	no	—
108	C₁₁×C₄⋊C₄	C₂×D₄	1	12	yes	—
109	C₁₁×C₂²⋊C₄	—	2	12	no	—
110	C₁₁×C₂²⋊C₄	—	2	24	no	—
111	C₁₁×C₂²⋊C₄	—	4	12	no	—
112	C₁₁×C₂²⋊C₄	—	4	24	no	—
113	C₄²×C₁₁	—	2	12	no	—
114	C₄²×C₁₁	—	2	12	no	—
115	C₄²×C₁₁	—	2	6	no	—
116	C₄²×C₁₁	—	4	6	no	—
117	C₄²×C₁₁	C₂×D₄	1	12	yes	—
118	C₄²×C₁₁	#41	1	4	yes	complemented
119	C₂×#557	C₂×C₁₁	1	1	yes	characteristic, complemented
120	C₂×#550	C₂×C₁₁	1	1	yes	characteristic
121	#2858	C₂×C₁₁	1	3	yes	complemented
122	#2548	C₂×C₁₁	1	3	yes	complemented
123	#2547	C₂×C₁₁	1	3	yes	complemented
124	#2490	C₂×C₁₁	1	12	yes	complemented
125	#2341	C₂×C₁₁	1	4	yes	complemented
126	C₄×#124	C₂×C₁₁	1	3	yes	complemented
127	C₄²×Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
128	C₂³×C₁₁	—	2	6	no	—
129	C₂³×C₁₁	—	2	6	no	—
130	C₂³×C₁₁	—	2	12	no	—
131	C₂³×C₁₁	—	2	6	no	—
132	C₂³×C₁₁	—	2	12	no	—
133	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
134	Q₈×C₁₁	—	4	12	no	—
135	Q₈×C₁₁	#124	1	16	yes	complemented
136	D₄×C₁₁	—	4	24	no	—
137	D₄×C₁₁	—	4	12	no	—
138	D₄×C₁₁	—	8	12	no	—
139	C₂×C₄×C₁₁	—	2	2	no	—
140	C₂×C₄×C₁₁	—	2	2	no	—
141	C₂×C₄×C₁₁	—	2	6	no	—
142	C₂×C₄×C₁₁	—	2	2	no	—
143	C₂×C₄×C₁₁	—	2	6	no	—
144	C₂×C₄×C₁₁	—	2	2	no	—
145	C₂×C₄×C₁₁	—	2	6	no	—
146	C₂×C₄×C₁₁	—	2	6	no	—
147	C₂×C₄×C₁₁	—	2	4	no	—
148	C₂×C₄×C₁₁	—	2	6	no	—
149	C₂×C₄×C₁₁	—	2	6	no	—
150	C₂×C₄×C₁₁	—	2	6	no	—
151	C₂×C₄×C₁₁	—	2	4	no	—
152	C₂×C₄×C₁₁	—	4	24	no	—
153	C₂×C₄×C₁₁	C₂²×D₄	1	6	yes	—
154	C₂×C₄×C₁₁	C₂²×D₄	1	6	yes	—
155	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
156	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
157	C₂×C₄×C₁₁	C₂×#41	1	12	yes	—
158	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
159	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
160	C₂²×#41	C₂²×C₁₁	1	2	yes	—
161	#557	—	2	8	no	—
162	#550	—	2	8	no	—
163	C₂×C₄⋊Q₈	C₂²×C₁₁	1	3	yes	—
164	C₂×#127	C₂²×C₁₁	1	3	yes	—
165	C₂×#125	C₂²×C₁₁	1	6	yes	—
166	C₂×#124	C₂²×C₁₁	1	3	yes	—
167	C₂×#124	C₂²×C₁₁	1	6	yes	—
168	C₂×#121	C₂²×C₁₁	1	6	yes	—
169	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
170	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
171	C₂×C₄×Q₈	C₂²×C₁₁	1	3	yes	—
172	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
173	C₂×C₄×D₄	C₂²×C₁₁	1	3	yes	—
174	#397	C₂²×C₁₁	1	12	yes	—
175	#394	C₂²×C₁₁	1	12	yes	—
176	#391	C₂²×C₁₁	1	3	yes	—
177	#390	C₂²×C₁₁	1	12	yes	—
178	#390	C₂²×C₁₁	1	12	yes	—
179	#390	C₂²×C₁₁	1	12	yes	—
180	#390	C₂²×C₁₁	1	3	yes	—
181	#388	C₂²×C₁₁	1	12	yes	—
182	#382	C₂²×C₁₁	1	1	yes	characteristic
183	#380	C₂²×C₁₁	1	12	yes	—
184	C₄×C₄⋊C₄	C₂²×C₁₁	1	6	yes	—
185	C₄×C₄⋊C₄	C₂²×C₁₁	1	3	yes	—
186	C₄×C₂²⋊C₄	C₂²×C₁₁	1	12	yes	—
187	C₄³	C₂²×C₁₁	1	3	yes	—
188	C₂²×C₁₁	—	4	6	no	—
189	C₂²×C₁₁	—	4	6	no	—
190	C₂²×C₁₁	—	4	12	no	—
191	C₂²×C₁₁	—	4	6	no	—
192	C₂²×C₁₁	—	4	12	no	—
193	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
194	C₂²×C₁₁	C₂²×#41	1	2	yes	—
195	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
196	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
197	C₂²×C₁₁	#585	1	2	yes	—
198	C₄×C₁₁	—	2	4	no	—
199	C₄×C₁₁	—	2	6	no	—
200	C₄×C₁₁	—	4	2	no	—
201	C₄×C₁₁	—	4	6	no	—
202	C₄×C₁₁	—	4	2	no	—
203	C₄×C₁₁	—	4	6	no	—
204	C₄×C₁₁	C₂×#124	1	12	yes	—
205	C₄×C₁₁	#550	1	4	yes	—
206	C₂×#41	—	2	8	no	—
207	C₂×#41	—	2	16	no	—
208	C₂²×Q₈	C₂³×C₁₁	1	3	yes	—
209	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
210	C₂²×D₄	C₂³×C₁₁	1	3	yes	—
211	C₂²×D₄	C₂³×C₁₁	1	6	yes	—
212	C₂²×D₄	C₂³×C₁₁	1	6	yes	—
213	C₂³×C₄	C₂³×C₁₁	1	6	yes	—
214	C₄⋊Q₈	—	2	12	no	—
215	#127	—	2	12	no	—
216	#125	—	2	24	no	—
217	#124	—	2	12	no	—
218	#124	—	4	12	no	—
219	#121	—	2	24	no	—
220	C₄×Q₈	—	2	8	no	—
221	C₄×Q₈	—	2	8	no	—
222	C₄×Q₈	—	2	12	no	—
223	C₄×Q₈	D₄×C₁₁	1	8	yes	—
224	C₄×D₄	—	2	12	no	—
225	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
226	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
227	C₂×C₄⋊C₄	C₂³×C₁₁	1	6	yes	—
228	C₂×C₄⋊C₄	C₂³×C₁₁	1	6	yes	—
229	C₂×C₄⋊C₄	C₂³×C₁₁	1	6	yes	—
230	C₂×C₄⋊C₄	C₂³×C₁₁	1	6	yes	—
231	C₂×C₄⋊C₄	C₂³×C₁₁	1	3	yes	—
232	C₂×C₂²⋊C₄	C₂³×C₁₁	1	6	yes	—
233	C₂×C₂²⋊C₄	C₂³×C₁₁	1	12	yes	—
234	C₂×C₂²⋊C₄	C₂³×C₁₁	1	24	yes	—
235	C₂×C₂²⋊C₄	C₂³×C₁₁	1	12	yes	—
236	C₂×C₄²	C₂³×C₁₁	1	6	yes	—
237	C₂×C₄²	C₂³×C₁₁	1	6	yes	—
238	C₂×C₄²	C₂³×C₁₁	1	3	yes	—
239	C₂×C₄²	C₂³×C₁₁	1	6	yes	—
240	C₂×C₄²	C₂³×C₁₁	1	3	yes	—
241	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
242	#95	C₂³×C₁₁	1	4	yes	—
243	#95	C₂³×C₁₁	1	12	yes	—
244	#95	C₂³×C₁₁	1	6	yes	—
245	C₂×C₁₁	—	8	6	no	—
246	C₂×C₁₁	C₂²×#124	1	1	yes	characteristic
247	C₂×C₁₁	C₂×#550	1	1	yes	characteristic
248	C₂×C₁₁	#3480	1	2	yes	—
249	C₂×C₁₁	#3500	1	1	yes	characteristic
250	C₂×C₁₁	#3517	1	2	yes	—
251	C₂⁴	C₂⁴×C₁₁	1	6	yes	—
252	#41	—	4	32	no	—
253	C₂×Q₈	—	2	6	no	—
254	C₂×Q₈	—	2	6	no	—
255	C₂×Q₈	—	2	6	no	—
256	C₂×Q₈	C₂×D₄×C₁₁	1	4	yes	—
257	C₂×Q₈	C₁₁×#41	1	8	yes	—
258	C₂×D₄	—	2	6	no	—
259	C₂×D₄	—	2	12	no	—
260	C₂×D₄	—	2	12	no	—
261	C₂×D₄	—	2	6	no	—
262	C₂×D₄	—	2	24	no	—
263	C₂×D₄	—	2	6	no	—
264	C₂×D₄	—	4	12	no	—
265	C₂²×C₄	—	2	12	no	—
266	C₂²×C₄	—	2	24	no	—
267	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
268	C₂²×C₄	C₂⁴×C₁₁	1	6	yes	—
269	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
270	C₂²×C₄	C₂⁴×C₁₁	1	6	yes	—
271	C₂²×C₄	C₂⁴×C₁₁	1	3	yes	—
272	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
273	C₂²×C₄	C₂⁴×C₁₁	1	3	yes	—
274	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
275	C₄⋊C₄	—	2	2	no	—
276	C₄⋊C₄	—	2	2	no	—
277	C₄⋊C₄	—	2	12	no	—
278	C₄⋊C₄	—	2	12	no	—
279	C₄⋊C₄	—	2	12	no	—
280	C₄⋊C₄	—	2	12	no	—
281	C₄⋊C₄	C₂×D₄×C₁₁	1	12	yes	—
282	C₂²⋊C₄	—	2	12	no	—
283	C₂²⋊C₄	—	2	24	no	—
284	C₂²⋊C₄	—	4	24	no	—
285	C₂²⋊C₄	—	4	12	no	—
286	C₄²	—	2	12	no	—
287	C₄²	—	2	12	no	—
288	C₄²	—	2	6	no	—
289	C₄²	—	4	6	no	—
290	C₄²	C₂×D₄×C₁₁	1	12	yes	—
291	C₄²	C₁₁×#41	1	4	yes	complemented
292	C₁₁	#36583	1	1	yes	characteristic, direct product factor, Sylow
293	C₂³	—	2	6	no	—
294	C₂³	—	2	6	no	—
295	C₂³	—	2	12	no	—
296	C₂³	—	2	6	no	—
297	C₂³	—	2	12	no	—
298	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
299	Q₈	—	4	12	no	—
300	Q₈	C₁₁×#124	1	16	yes	complemented
301	D₄	—	4	24	no	—
302	D₄	—	4	12	no	—
303	D₄	—	8	12	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	6	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	2	6	no	—
309	C₂×C₄	—	2	2	no	—
310	C₂×C₄	—	2	6	no	—
311	C₂×C₄	—	2	6	no	—
312	C₂×C₄	—	2	4	no	—
313	C₂×C₄	—	2	6	no	—
314	C₂×C₄	—	2	6	no	—
315	C₂×C₄	—	2	6	no	—
316	C₂×C₄	—	2	4	no	—
317	C₂×C₄	—	4	24	no	—
318	C₂×C₄	C₂²×D₄×C₁₁	1	6	yes	—
319	C₂×C₄	C₂²×D₄×C₁₁	1	6	yes	—
320	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
321	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
322	C₂×C₄	C₂×C₁₁×#41	1	12	yes	—
323	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
324	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
325	C₂²	—	4	6	no	—
326	C₂²	—	4	6	no	—
327	C₂²	—	4	12	no	—
328	C₂²	—	4	6	no	—
329	C₂²	—	4	12	no	—
330	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
331	C₂²	C₂²×C₁₁×#41	1	2	yes	—
332	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
333	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
334	C₂²	C₁₁×#585	1	2	yes	—
335	C₄	—	2	4	no	—
336	C₄	—	2	6	no	—
337	C₄	—	4	2	no	—
338	C₄	—	4	6	no	—
339	C₄	—	4	2	no	—
340	C₄	—	4	6	no	—
341	C₄	C₂×C₁₁×#124	1	12	yes	—
342	C₄	C₁₁×#550	1	4	yes	—
343	C₂	—	8	6	no	—
344	C₂	C₂²×C₁₁×#124	1	1	yes	characteristic
345	C₂	C₂×C₁₁×#550	1	1	yes	characteristic
346	C₂	C₁₁×#3480	1	2	yes	—
347	C₂	C₁₁×#3500	1	1	yes	characteristic
348	C₂	C₁₁×#3517	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂×C₁₁×#550	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₁×#557	C₂	semidirect
3. C₁₁×#2858	C₂	semidirect
4. C₁₁×#2548	C₂	semidirect
5. C₁₁×#2547	C₂	semidirect
6. C₁₁×#2490	C₂	semidirect
7. C₁₁×#2341	C₂	semidirect
8. C₄×C₁₁×#124	C₂	semidirect
9. C₄²×Q₈×C₁₁	C₂	semidirect
77. #36583	C₁₁	direct (N × H)
118. C₄²×C₁₁	#41	semidirect
119. C₂×#557	C₂×C₁₁	semidirect
121. #2858	C₂×C₁₁	semidirect
122. #2548	C₂×C₁₁	semidirect
123. #2547	C₂×C₁₁	semidirect
124. #2490	C₂×C₁₁	semidirect
125. #2341	C₂×C₁₁	semidirect
126. C₄×#124	C₂×C₁₁	semidirect
127. C₄²×Q₈	C₂×C₁₁	semidirect
135. Q₈×C₁₁	#124	semidirect
291. C₄²	C₁₁×#41	semidirect
292. C₁₁	#36583	direct (N × H)
300. Q₈	C₁₁×#124	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#557	2
C₂×C₁₁×#550	2
C₁₁×#2858	2
C₁₁×#2548	2
C₁₁×#2547	2
C₁₁×#2490	2
C₁₁×#2341	2
C₄×C₁₁×#124	2
C₄²×Q₈×C₁₁	2
#36583	11

Subgroups — C11×#36583 #14613776

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36583 #14613776