Subgroups — C₁₁×#19259 #14596452

Order 2816.

694 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3170	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3110	C₂	1	2	yes	maximal
3	C₂×C₈×D₄×C₁₁	C₂	1	1	yes	maximal, characteristic
4	C₁₁×#1679	C₂	1	4	yes	maximal, complemented
5	C₁₁×#1673	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1669	C₂	1	2	yes	maximal, complemented
7	C₁₁×#1568	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#1552	C₂	1	2	yes	maximal, complemented
9	C₂³×C₈×C₁₁	—	2	1	no	—
10	C₁₁×#533	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×#494	C₂²	1	1	yes	characteristic, complemented
14	C₁₁×#487	C₂²	1	2	yes	complemented
15	C₁₁×#484	—	2	2	no	—
16	C₁₁×#474	C₂²	1	4	yes	—
17	C₁₁×#467	—	2	1	no	—
18	C₁₁×#467	—	2	1	no	—
19	C₁₁×#461	C₂²	1	4	yes	—
20	C₁₁×#450	—	2	2	no	—
21	C₁₁×#440	—	2	4	no	—
22	C₄×C₁₁×Q₁₆	—	2	1	no	—
23	C₄×C₁₁×Q₁₆	—	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×#332	C₂²	1	4	yes	complemented
35	C₁₁×#332	C₂²	1	4	yes	complemented
36	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
37	C₂³×C₄×C₁₁	—	2	1	no	—
38	C₂×C₁₁×Q₁₆	—	2	1	no	—
39	C₂×C₁₁×Q₁₆	—	2	1	no	—
40	C₂×C₁₁×SD₁₆	—	2	4	no	—
41	C₂²×C₈×C₁₁	—	2	1	no	—
42	C₂²×C₈×C₁₁	—	2	2	no	—
43	C₂²×C₈×C₁₁	—	2	2	no	—
44	C₂²×C₈×C₁₁	—	4	4	no	—
45	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
46	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
47	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
48	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
49	C₁₁×#125	—	2	2	no	—
50	C₁₁×C₂²⋊Q₈	—	2	2	no	—
51	C₁₁×C₂²⋊Q₈	—	2	2	no	—
52	C₄×Q₈×C₁₁	—	2	2	no	—
53	C₄×Q₈×C₁₁	—	2	2	no	—
54	C₄×D₄×C₁₁	—	2	1	no	—
55	C₄×D₄×C₁₁	—	2	1	no	—
56	C₄×D₄×C₁₁	D₄	1	2	yes	—
57	C₄×D₄×C₁₁	C₂³	1	2	yes	—
58	C₁₁×#117	—	2	2	no	—
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×#107	—	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×#103	—	2	2	no	—
69	C₁₁×#103	—	2	2	no	—
70	C₁₁×#103	—	2	4	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	#19259	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
81	C₂⁴×C₁₁	—	2	1	no	—
82	C₂×Q₈×C₁₁	—	2	2	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	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₁₁	—	2	1	no	—
88	C₂²×C₄×C₁₁	—	2	2	no	—
89	C₂²×C₄×C₁₁	—	2	2	no	—
90	C₂²×C₄×C₁₁	—	4	2	no	—
91	C₂²×C₄×C₁₁	—	4	2	no	—
92	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
95	C₁₁×Q₁₆	—	4	2	no	—
96	C₁₁×Q₁₆	—	4	2	no	—
97	C₁₁×SD₁₆	—	4	8	no	—
98	C₂×C₈×C₁₁	—	2	2	no	—
99	C₂×C₈×C₁₁	—	2	4	no	—
100	C₂×C₈×C₁₁	—	2	2	no	—
101	C₂×C₈×C₁₁	—	4	1	no	—
102	C₂×C₈×C₁₁	—	4	2	no	—
103	C₂×C₈×C₁₁	—	4	4	no	—
104	C₂×C₈×C₁₁	—	4	4	no	—
105	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
106	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
107	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
108	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
109	C₁₁×C₄⋊C₄	—	2	1	no	—
110	C₁₁×C₄⋊C₄	—	2	2	no	—
111	C₁₁×C₄⋊C₄	—	2	2	no	—
112	C₁₁×C₄⋊C₄	—	2	2	no	—
113	C₁₁×C₄⋊C₄	—	2	2	no	—
114	C₁₁×C₄⋊C₄	—	4	2	no	—
115	C₁₁×C₄⋊C₄	—	4	2	no	—
116	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
117	C₁₁×C₂²⋊C₄	—	2	2	no	—
118	C₁₁×C₂²⋊C₄	—	2	2	no	—
119	C₁₁×C₂²⋊C₄	—	4	2	no	—
120	C₄²×C₁₁	—	4	2	no	—
121	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₁₁	#41	1	1	yes	characteristic
124	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
125	#3170	C₂×C₁₁	1	1	yes	characteristic, complemented
126	#3110	C₂×C₁₁	1	2	yes	—
127	C₂×C₈×D₄	C₂×C₁₁	1	1	yes	characteristic
128	#1679	C₂×C₁₁	1	4	yes	complemented
129	#1673	C₂×C₁₁	1	2	yes	complemented
130	#1669	C₂×C₁₁	1	2	yes	complemented
131	#1568	C₂×C₁₁	1	1	yes	characteristic, complemented
132	#1552	C₂×C₁₁	1	2	yes	complemented
133	C₂³×C₁₁	—	2	4	no	—
134	C₂³×C₁₁	—	2	2	no	—
135	C₂³×C₁₁	—	4	2	no	—
136	C₂³×C₁₁	—	4	2	no	—
137	C₂³×C₁₁	#121	1	1	yes	characteristic
138	Q₈×C₁₁	—	4	4	no	—
139	Q₈×C₁₁	—	4	2	no	—
140	Q₈×C₁₁	—	4	2	no	—
141	D₄×C₁₁	—	2	4	no	—
142	D₄×C₁₁	—	2	2	no	—
143	D₄×C₁₁	#135	1	4	yes	—
144	C₂×C₄×C₁₁	—	2	2	no	—
145	C₂×C₄×C₁₁	—	2	2	no	—
146	C₂×C₄×C₁₁	—	2	1	no	—
147	C₂×C₄×C₁₁	—	2	1	no	—
148	C₂×C₄×C₁₁	—	2	2	no	—
149	C₂×C₄×C₁₁	—	4	4	no	—
150	C₂×C₄×C₁₁	—	4	2	no	—
151	C₂×C₄×C₁₁	—	4	2	no	—
152	C₂×C₄×C₁₁	—	4	2	no	—
153	C₂×C₄×C₁₁	—	4	2	no	—
154	C₂×C₄×C₁₁	—	4	2	no	—
155	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
156	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
157	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
158	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
159	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
160	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
161	C₈×C₁₁	—	2	1	no	—
162	C₈×C₁₁	—	2	1	no	—
163	C₈×C₁₁	—	2	1	no	—
164	C₈×C₁₁	—	4	4	no	—
165	C₈×C₁₁	—	4	2	no	—
166	C₈×C₁₁	AGL(1,ℤ/8)	1	2	yes	—
167	C₂³×C₈	—	2	1	no	—
168	#533	C₂²×C₁₁	1	2	yes	—
169	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
170	#500	C₂²×C₁₁	1	1	yes	characteristic, complemented
171	#494	C₂²×C₁₁	1	1	yes	characteristic, complemented
172	#487	C₂²×C₁₁	1	2	yes	complemented
173	#484	—	2	2	no	—
174	#474	C₂²×C₁₁	1	4	yes	—
175	#467	—	2	1	no	—
176	#467	—	2	1	no	—
177	#461	C₂²×C₁₁	1	4	yes	—
178	#450	—	2	2	no	—
179	#440	—	2	4	no	—
180	C₄×Q₁₆	—	2	1	no	—
181	C₄×Q₁₆	—	2	1	no	—
182	C₈×D₄	—	2	1	no	—
183	C₈×D₄	—	2	1	no	—
184	C₈×D₄	C₂²×C₁₁	1	2	yes	—
185	C₈×D₄	C₂²×C₁₁	1	2	yes	—
186	#432	C₂²×C₁₁	1	2	yes	—
187	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
188	C₂×C₂²⋊C₈	—	2	1	no	—
189	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
190	#335	C₂²×C₁₁	1	2	yes	complemented
191	#334	C₂²×C₁₁	1	2	yes	complemented
192	#332	C₂²×C₁₁	1	4	yes	complemented
193	#332	C₂²×C₁₁	1	4	yes	complemented
194	C₂²×C₁₁	—	2	1	no	—
195	C₂²×C₁₁	—	2	1	no	—
196	C₂²×C₁₁	—	2	4	no	—
197	C₂²×C₁₁	—	4	8	no	—
198	C₂²×C₁₁	—	4	2	no	—
199	C₂²×C₁₁	—	4	2	no	—
200	C₂²×C₁₁	#473	1	2	yes	—
201	C₂²×C₁₁	C₂×#121	1	1	yes	characteristic
202	C₄×C₁₁	—	2	1	no	—
203	C₄×C₁₁	—	2	1	no	—
204	C₄×C₁₁	—	2	1	no	—
205	C₄×C₁₁	—	2	1	no	—
206	C₄×C₁₁	—	4	2	no	—
207	C₄×C₁₁	—	8	2	no	—
208	C₄×C₁₁	—	8	2	no	—
209	C₄×C₁₁	C₂×#135	1	2	yes	—
210	C₄×C₁₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
211	C₄×C₁₁	#575	1	1	yes	characteristic
212	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
213	C₂³×C₄	—	2	1	no	—
214	C₂×Q₁₆	—	2	1	no	—
215	C₂×Q₁₆	—	2	1	no	—
216	C₂×SD₁₆	—	2	4	no	—
217	C₂²×C₈	—	2	1	no	—
218	C₂²×C₈	—	2	2	no	—
219	C₂²×C₈	—	2	2	no	—
220	C₂²×C₈	—	4	4	no	—
221	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
222	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
223	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
224	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
225	#125	—	2	2	no	—
226	C₂²⋊Q₈	—	2	2	no	—
227	C₂²⋊Q₈	—	2	2	no	—
228	C₄×Q₈	—	2	2	no	—
229	C₄×Q₈	—	2	2	no	—
230	C₄×D₄	—	2	1	no	—
231	C₄×D₄	—	2	1	no	—
232	C₄×D₄	D₄×C₁₁	1	2	yes	—
233	C₄×D₄	C₂³×C₁₁	1	2	yes	—
234	#117	—	2	2	no	—
235	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
236	C₂×C₂²⋊C₄	—	2	1	no	—
237	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
238	#107	—	2	1	no	—
239	#107	—	2	1	no	—
240	#107	—	2	4	no	—
241	C₄⋊C₈	—	2	1	no	—
242	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
243	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
244	#103	—	2	2	no	—
245	#103	—	2	2	no	—
246	#103	—	2	4	no	—
247	#102	—	2	4	no	—
248	C₂²⋊C₈	—	2	2	no	—
249	C₂²⋊C₈	—	2	2	no	—
250	C₂²⋊C₈	—	2	2	no	—
251	#97	—	2	2	no	—
252	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
253	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
254	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
255	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
256	C₂×C₁₁	—	2	2	no	—
257	C₂×C₁₁	—	4	4	no	—
258	C₂×C₁₁	#3036	1	1	yes	characteristic
259	C₂×C₁₁	#3050	1	1	yes	characteristic
260	C₂×C₁₁	C₂×#473	1	1	yes	characteristic
261	C₂⁴	—	2	1	no	—
262	C₂×Q₈	—	2	2	no	—
263	C₂×Q₈	—	2	2	no	—
264	C₂×D₄	—	2	4	no	—
265	C₂×D₄	—	2	1	no	—
266	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	2	2	no	—
270	C₂²×C₄	—	4	2	no	—
271	C₂²×C₄	—	4	2	no	—
272	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
273	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
274	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
275	Q₁₆	—	4	2	no	—
276	Q₁₆	—	4	2	no	—
277	SD₁₆	—	4	8	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	2	4	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	4	1	no	—
282	C₂×C₈	—	4	4	no	—
283	C₂×C₈	—	4	2	no	—
284	C₂×C₈	—	4	4	no	—
285	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
286	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
287	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
288	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
289	C₄⋊C₄	—	2	1	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	—	4	2	no	—
295	C₄⋊C₄	—	4	2	no	—
296	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
297	C₂²⋊C₄	—	2	2	no	—
298	C₂²⋊C₄	—	2	2	no	—
299	C₂²⋊C₄	—	4	2	no	—
300	C₄²	—	4	2	no	—
301	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
302	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
303	C₄²	C₁₁×#41	1	1	yes	characteristic
304	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
305	C₁₁	#19259	1	1	yes	characteristic, direct product factor, Sylow
306	C₂³	—	2	4	no	—
307	C₂³	—	2	2	no	—
308	C₂³	—	4	2	no	—
309	C₂³	—	4	2	no	—
310	C₂³	C₁₁×#121	1	1	yes	characteristic
311	Q₈	—	4	4	no	—
312	Q₈	—	4	2	no	—
313	Q₈	—	4	2	no	—
314	D₄	—	2	4	no	—
315	D₄	—	2	2	no	—
316	D₄	C₁₁×#135	1	4	yes	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	4	4	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
329	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
330	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
331	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
332	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
333	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
334	C₈	—	2	1	no	—
335	C₈	—	2	1	no	—
336	C₈	—	2	1	no	—
337	C₈	—	4	4	no	—
338	C₈	—	4	2	no	—
339	C₈	C₁₁×AGL(1,ℤ/8)	1	2	yes	—
340	C₂²	—	2	1	no	—
341	C₂²	—	2	1	no	—
342	C₂²	—	2	4	no	—
343	C₂²	—	4	8	no	—
344	C₂²	—	4	2	no	—
345	C₂²	—	4	2	no	—
346	C₂²	C₁₁×#473	1	2	yes	—
347	C₂²	C₂×C₁₁×#121	1	1	yes	characteristic
348	C₄	—	2	1	no	—
349	C₄	—	2	1	no	—
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	4	2	no	—
353	C₄	—	8	2	no	—
354	C₄	—	8	2	no	—
355	C₄	C₂×C₁₁×#135	1	2	yes	—
356	C₄	C₂×C₁₁×AGL(1,ℤ/8)	1	1	yes	characteristic
357	C₄	C₁₁×#575	1	1	yes	characteristic
358	C₂	—	2	2	no	—
359	C₂	—	4	4	no	—
360	C₂	C₁₁×#3036	1	1	yes	characteristic
361	C₂	C₁₁×#3050	1	1	yes	characteristic
362	C₂	C₂×C₁₁×#473	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₁
prime radical	C₂²×D₄×C₁₁	D₄
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×#3170	C₂	semidirect
4. C₁₁×#1679	C₂	semidirect
5. C₁₁×#1673	C₂	semidirect
6. C₁₁×#1669	C₂	semidirect
7. C₁₁×#1568	C₂	semidirect
8. C₁₁×#1552	C₂	semidirect
12. C₁₁×#500	C₂²	semidirect
13. C₁₁×#494	C₂²	semidirect
14. C₁₁×#487	C₂²	semidirect
32. C₁₁×#335	C₂²	semidirect
33. C₁₁×#334	C₂²	semidirect
34. C₁₁×#332	C₂²	semidirect
35. C₁₁×#332	C₂²	semidirect
80. #19259	C₁₁	direct (N × H)
125. #3170	C₂×C₁₁	semidirect
128. #1679	C₂×C₁₁	semidirect
129. #1673	C₂×C₁₁	semidirect
130. #1669	C₂×C₁₁	semidirect
131. #1568	C₂×C₁₁	semidirect
132. #1552	C₂×C₁₁	semidirect
170. #500	C₂²×C₁₁	semidirect
171. #494	C₂²×C₁₁	semidirect
172. #487	C₂²×C₁₁	semidirect
190. #335	C₂²×C₁₁	semidirect
191. #334	C₂²×C₁₁	semidirect
192. #332	C₂²×C₁₁	semidirect
193. #332	C₂²×C₁₁	semidirect
305. C₁₁	#19259	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×#3170	2
C₁₁×#3110	2
C₂×C₈×D₄×C₁₁	2
C₁₁×#1679	2
C₁₁×#1673	2
C₁₁×#1669	2
C₁₁×#1568	2
C₁₁×#1552	2
#19259	11

Subgroups — C11×#19259 #14596452

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#19259 #14596452