Subgroups — C₁₁×#19223 #14596416

Order 2816.

584 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3248	C₂	1	2	yes	maximal
2	C₁₁×#3170	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#2966	C₂	1	1	yes	maximal, characteristic
4	C₁₁×#1700	C₂	1	2	yes	maximal, complemented
5	C₁₁×#1699	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1674	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1673	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#1670	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#1669	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₁×#335	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#1552	C₂	1	2	yes	maximal, complemented
12	C₁₁×#533	C₂²	1	2	yes	—
13	C₁₁×#529	C₂²	1	1	yes	characteristic
14	C₁₁×#500	C₂²	1	1	yes	characteristic
15	C₁₁×#494	C₂²	1	1	yes	characteristic
16	C₁₁×#487	C₂²	1	2	yes	—
17	C₁₁×#479	—	2	2	no	—
18	C₁₁×#475	C₂²	1	2	yes	—
19	C₁₁×#474	C₂²	1	2	yes	—
20	C₁₁×#467	—	2	1	no	—
21	C₁₁×#467	—	2	1	no	—
22	C₁₁×#467	—	2	2	no	—
23	C₁₁×#465	—	2	2	no	—
24	C₁₁×#464	—	2	2	no	—
25	C₁₁×#462	C₂²	1	2	yes	—
26	C₁₁×#461	C₂²	1	2	yes	—
27	C₁₁×#446	C₂²	1	1	yes	characteristic
28	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic
29	C₄×C₁₁×Q₁₆	—	2	1	no	—
30	C₄×C₁₁×Q₁₆	—	2	1	no	—
31	C₁₁×#436	C₂²	1	1	yes	characteristic
32	C₁₁×#435	—	2	1	no	—
33	C₈×D₄×C₁₁	—	2	1	no	—
34	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
35	C₁₁×#433	—	2	1	no	—
36	C₁₁×#432	C₂²	1	1	yes	characteristic
37	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	—
38	C₁₁×#405	—	2	1	no	—
39	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
40	C₁₁×#335	C₂²	1	1	yes	characteristic
41	C₁₁×#335	C₂²	1	1	yes	characteristic
42	C₁₁×#335	C₂²	1	2	yes	—
43	C₁₁×#332	C₂²	1	2	yes	—
44	C₁₁×#332	C₂²	1	2	yes	—
45	C₁₁×#332	C₂²	1	2	yes	—
46	C₁₁×#332	C₂²	1	2	yes	—
47	C₂×C₁₁×Q₁₆	—	2	2	no	—
48	C₂×C₁₁×Q₁₆	—	2	1	no	—
49	C₂×C₁₁×Q₁₆	—	2	1	no	—
50	C₂×C₁₁×SD₁₆	—	2	2	no	—
51	C₂×C₁₁×M₁₆	—	2	1	no	—
52	C₂²×C₈×C₁₁	—	2	2	no	—
53	C₂²×C₈×C₁₁	—	2	1	no	—
54	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
55	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
56	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
57	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
58	C₁₁×#126	—	2	1	no	—
59	C₁₁×#125	—	2	2	no	—
60	C₁₁×#125	D₄	1	1	yes	characteristic
61	C₁₁×#124	D₄	1	1	yes	characteristic
62	C₁₁×#123	—	2	1	no	—
63	C₁₁×C₂²⋊Q₈	—	2	2	no	—
64	C₁₁×C₂²⋊Q₈	—	2	2	no	—
65	C₁₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
66	C₁₁×#121	D₄	1	1	yes	characteristic
67	C₄×Q₈×C₁₁	—	2	2	no	—
68	C₄×Q₈×C₁₁	—	2	2	no	—
69	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
70	C₄×D₄×C₁₁	—	2	1	no	—
71	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
72	C₁₁×#117	—	2	1	no	—
73	C₁₁×#117	—	2	2	no	—
74	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
75	C₁₁×#107	—	2	1	no	—
76	C₁₁×#107	—	2	1	no	—
77	C₁₁×#107	—	2	2	no	—
78	C₁₁×#106	—	2	2	no	—
79	C₁₁×C₄⋊C₈	—	2	1	no	—
80	C₁₁×C₄⋊C₈	—	2	1	no	—
81	C₁₁×C₄⋊C₈	—	2	2	no	—
82	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
83	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
84	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
85	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
86	C₁₁×#103	—	2	2	no	—
87	C₁₁×#103	—	2	2	no	—
88	C₁₁×#103	—	2	2	no	—
89	C₁₁×#103	—	2	2	no	—
90	C₁₁×#103	—	2	2	no	—
91	C₁₁×#102	—	2	2	no	—
92	C₁₁×C₂²⋊C₈	—	2	1	no	—
93	C₁₁×C₂²⋊C₈	—	2	1	no	—
94	C₁₁×C₂²⋊C₈	—	2	1	no	—
95	C₁₁×#97	—	2	1	no	—
96	C₁₁×#97	—	2	1	no	—
97	C₄×C₈×C₁₁	—	2	1	no	—
98	C₄×C₈×C₁₁	D₄	1	1	yes	characteristic
99	C₄×C₈×C₁₁	D₄	1	1	yes	characteristic
100	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
101	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
102	#19223	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
103	C₂×Q₈×C₁₁	—	2	2	no	—
104	C₂×Q₈×C₁₁	—	2	2	no	—
105	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
106	C₂×D₄×C₁₁	—	2	1	no	—
107	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
108	C₂²×C₄×C₁₁	—	2	1	no	—
109	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
110	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
111	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
112	C₁₁×Q₁₆	—	4	2	no	—
113	C₁₁×Q₁₆	—	4	2	no	—
114	C₁₁×Q₁₆	—	8	2	no	—
115	C₁₁×SD₁₆	—	8	2	no	—
116	C₁₁×M₁₆	—	4	2	no	—
117	C₂×C₈×C₁₁	—	2	2	no	—
118	C₂×C₈×C₁₁	—	2	1	no	—
119	C₂×C₈×C₁₁	—	2	1	no	—
120	C₂×C₈×C₁₁	—	2	2	no	—
121	C₂×C₈×C₁₁	—	2	2	no	—
122	C₂×C₈×C₁₁	—	4	1	no	—
123	C₂×C₈×C₁₁	—	4	2	no	—
124	C₂×C₈×C₁₁	—	8	2	no	—
125	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
126	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
127	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
128	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
129	C₁₁×C₄⋊C₄	—	2	1	no	—
130	C₁₁×C₄⋊C₄	—	2	1	no	—
131	C₁₁×C₄⋊C₄	—	2	1	no	—
132	C₁₁×C₄⋊C₄	—	2	1	no	—
133	C₁₁×C₄⋊C₄	—	2	2	no	—
134	C₁₁×C₄⋊C₄	—	2	2	no	—
135	C₁₁×C₄⋊C₄	—	2	2	no	—
136	C₁₁×C₄⋊C₄	—	2	2	no	—
137	C₁₁×C₄⋊C₄	—	4	2	no	—
138	C₁₁×C₄⋊C₄	—	4	2	no	—
139	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
140	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
141	C₁₁×C₂²⋊C₄	—	2	1	no	—
142	C₁₁×C₂²⋊C₄	—	2	1	no	—
143	C₁₁×C₂²⋊C₄	—	2	1	no	—
144	C₁₁×C₂²⋊C₄	—	2	1	no	—
145	C₁₁×C₂²⋊C₄	—	2	1	no	—
146	C₁₁×C₂²⋊C₄	—	4	2	no	—
147	C₄²×C₁₁	—	2	1	no	—
148	C₄²×C₁₁	—	4	2	no	—
149	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
150	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
151	C₄²×C₁₁	#41	1	1	yes	characteristic
152	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
153	#3248	C₂×C₁₁	1	2	yes	—
154	#3170	C₂×C₁₁	1	1	yes	characteristic, complemented
155	#2966	C₂×C₁₁	1	1	yes	characteristic
156	#1700	C₂×C₁₁	1	2	yes	complemented
157	#1699	C₂×C₁₁	1	2	yes	complemented
158	#1674	C₂×C₁₁	1	1	yes	characteristic, complemented
159	#1673	C₂×C₁₁	1	1	yes	characteristic, complemented
160	#1670	C₂×C₁₁	1	1	yes	characteristic, complemented
161	#1669	C₂×C₁₁	1	1	yes	characteristic, complemented
162	C₂×#335	C₂×C₁₁	1	1	yes	characteristic, complemented
163	#1552	C₂×C₁₁	1	2	yes	complemented
164	C₂³×C₁₁	—	2	1	no	—
165	C₂³×C₁₁	#121	1	1	yes	characteristic
166	Q₈×C₁₁	—	2	1	no	—
167	Q₈×C₁₁	—	2	1	no	—
168	Q₈×C₁₁	—	4	2	no	—
169	Q₈×C₁₁	—	4	2	no	—
170	Q₈×C₁₁	—	4	2	no	—
171	Q₈×C₁₁	—	4	2	no	—
172	D₄×C₁₁	—	2	1	no	—
173	D₄×C₁₁	—	2	1	no	—
174	D₄×C₁₁	—	4	2	no	—
175	C₂×C₄×C₁₁	—	2	2	no	—
176	C₂×C₄×C₁₁	—	2	1	no	—
177	C₂×C₄×C₁₁	—	2	1	no	—
178	C₂×C₄×C₁₁	—	2	1	no	—
179	C₂×C₄×C₁₁	—	2	1	no	—
180	C₂×C₄×C₁₁	—	2	1	no	—
181	C₂×C₄×C₁₁	—	2	1	no	—
182	C₂×C₄×C₁₁	—	2	1	no	—
183	C₂×C₄×C₁₁	—	4	1	no	—
184	C₂×C₄×C₁₁	—	4	1	no	—
185	C₂×C₄×C₁₁	—	4	2	no	—
186	C₂×C₄×C₁₁	—	4	2	no	—
187	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
188	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
189	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
190	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
191	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
192	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
193	C₈×C₁₁	—	2	1	no	—
194	C₈×C₁₁	—	2	1	no	—
195	C₈×C₁₁	—	2	1	no	—
196	C₈×C₁₁	—	4	1	no	—
197	C₈×C₁₁	—	4	1	no	—
198	C₈×C₁₁	—	4	2	no	—
199	C₈×C₁₁	—	4	2	no	—
200	C₈×C₁₁	#135	1	2	yes	—
201	#533	C₂²×C₁₁	1	2	yes	—
202	#529	C₂²×C₁₁	1	1	yes	characteristic
203	#500	C₂²×C₁₁	1	1	yes	characteristic
204	#494	C₂²×C₁₁	1	1	yes	characteristic
205	#487	C₂²×C₁₁	1	2	yes	—
206	#479	—	2	2	no	—
207	#475	C₂²×C₁₁	1	2	yes	—
208	#474	C₂²×C₁₁	1	2	yes	—
209	#467	—	2	1	no	—
210	#467	—	2	1	no	—
211	#467	—	2	2	no	—
212	#465	—	2	2	no	—
213	#464	—	2	2	no	—
214	#462	C₂²×C₁₁	1	2	yes	—
215	#461	C₂²×C₁₁	1	2	yes	—
216	#446	C₂²×C₁₁	1	1	yes	characteristic
217	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic
218	C₄×Q₁₆	—	2	1	no	—
219	C₄×Q₁₆	—	2	1	no	—
220	#436	C₂²×C₁₁	1	1	yes	characteristic
221	#435	—	2	1	no	—
222	C₈×D₄	—	2	1	no	—
223	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
224	#433	—	2	1	no	—
225	#432	C₂²×C₁₁	1	1	yes	characteristic
226	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
227	#405	—	2	1	no	—
228	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
229	#335	C₂²×C₁₁	1	1	yes	characteristic
230	#335	C₂²×C₁₁	1	1	yes	characteristic
231	#335	C₂²×C₁₁	1	2	yes	—
232	#332	C₂²×C₁₁	1	2	yes	—
233	#332	C₂²×C₁₁	1	2	yes	—
234	#332	C₂²×C₁₁	1	2	yes	—
235	#332	C₂²×C₁₁	1	2	yes	—
236	C₂²×C₁₁	—	2	1	no	—
237	C₂²×C₁₁	—	2	1	no	—
238	C₂²×C₁₁	—	4	1	no	—
239	C₂²×C₁₁	—	4	1	no	—
240	C₂²×C₁₁	—	4	1	no	—
241	C₂²×C₁₁	#473	1	2	yes	—
242	C₂²×C₁₁	C₂×#121	1	1	yes	characteristic
243	C₄×C₁₁	—	2	1	no	—
244	C₄×C₁₁	—	2	1	no	—
245	C₄×C₁₁	—	2	1	no	—
246	C₄×C₁₁	—	2	1	no	—
247	C₄×C₁₁	—	4	1	no	—
248	C₄×C₁₁	—	4	1	no	—
249	C₄×C₁₁	—	4	1	no	—
250	C₄×C₁₁	—	8	2	no	—
251	C₄×C₁₁	—	8	2	no	—
252	C₄×C₁₁	C₂×#135	1	1	yes	characteristic
253	C₄×C₁₁	#575	1	1	yes	characteristic
254	C₄×C₁₁	#576	1	1	yes	characteristic
255	C₄×C₁₁	#578	1	1	yes	characteristic
256	C₂×Q₁₆	—	2	2	no	—
257	C₂×Q₁₆	—	2	1	no	—
258	C₂×Q₁₆	—	2	1	no	—
259	C₂×SD₁₆	—	2	2	no	—
260	C₂×M₁₆	—	2	1	no	—
261	C₂²×C₈	—	2	2	no	—
262	C₂²×C₈	—	2	1	no	—
263	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
264	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
265	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
266	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
267	#126	—	2	1	no	—
268	#125	—	2	2	no	—
269	#125	D₄×C₁₁	1	1	yes	characteristic
270	#124	D₄×C₁₁	1	1	yes	characteristic
271	#123	—	2	1	no	—
272	C₂²⋊Q₈	—	2	2	no	—
273	C₂²⋊Q₈	—	2	2	no	—
274	C₂²⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
275	#121	D₄×C₁₁	1	1	yes	characteristic
276	C₄×Q₈	—	2	2	no	—
277	C₄×Q₈	—	2	2	no	—
278	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
279	C₄×D₄	—	2	1	no	—
280	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
281	#117	—	2	1	no	—
282	#117	—	2	2	no	—
283	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
284	#107	—	2	1	no	—
285	#107	—	2	1	no	—
286	#107	—	2	2	no	—
287	#106	—	2	2	no	—
288	C₄⋊C₈	—	2	1	no	—
289	C₄⋊C₈	—	2	1	no	—
290	C₄⋊C₈	—	2	2	no	—
291	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
292	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
293	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
294	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
295	#103	—	2	2	no	—
296	#103	—	2	2	no	—
297	#103	—	2	2	no	—
298	#103	—	2	2	no	—
299	#103	—	2	2	no	—
300	#102	—	2	2	no	—
301	C₂²⋊C₈	—	2	1	no	—
302	C₂²⋊C₈	—	2	1	no	—
303	C₂²⋊C₈	—	2	1	no	—
304	#97	—	2	1	no	—
305	#97	—	2	1	no	—
306	C₄×C₈	—	2	1	no	—
307	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
308	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
309	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
310	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
311	C₂×C₁₁	—	2	2	no	—
312	C₂×C₁₁	—	8	1	no	—
313	C₂×C₁₁	#3035	1	1	yes	characteristic
314	C₂×C₁₁	#3061	1	1	yes	characteristic
315	C₂×C₁₁	C₂×#473	1	1	yes	characteristic
316	C₂×Q₈	—	2	2	no	—
317	C₂×Q₈	—	2	2	no	—
318	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
319	C₂×D₄	—	2	1	no	—
320	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
321	C₂²×C₄	—	2	1	no	—
322	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
323	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
324	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
325	Q₁₆	—	4	2	no	—
326	Q₁₆	—	4	2	no	—
327	Q₁₆	—	8	2	no	—
328	SD₁₆	—	8	2	no	—
329	M₁₆	—	4	2	no	—
330	C₂×C₈	—	2	2	no	—
331	C₂×C₈	—	2	1	no	—
332	C₂×C₈	—	2	1	no	—
333	C₂×C₈	—	2	2	no	—
334	C₂×C₈	—	2	2	no	—
335	C₂×C₈	—	4	1	no	—
336	C₂×C₈	—	4	2	no	—
337	C₂×C₈	—	8	2	no	—
338	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
339	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
340	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
341	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
342	C₄⋊C₄	—	2	1	no	—
343	C₄⋊C₄	—	2	1	no	—
344	C₄⋊C₄	—	2	1	no	—
345	C₄⋊C₄	—	2	1	no	—
346	C₄⋊C₄	—	2	2	no	—
347	C₄⋊C₄	—	2	2	no	—
348	C₄⋊C₄	—	2	2	no	—
349	C₄⋊C₄	—	2	2	no	—
350	C₄⋊C₄	—	4	2	no	—
351	C₄⋊C₄	—	4	2	no	—
352	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
353	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
354	C₂²⋊C₄	—	2	1	no	—
355	C₂²⋊C₄	—	2	1	no	—
356	C₂²⋊C₄	—	2	1	no	—
357	C₂²⋊C₄	—	2	1	no	—
358	C₂²⋊C₄	—	2	1	no	—
359	C₂²⋊C₄	—	4	2	no	—
360	C₄²	—	2	1	no	—
361	C₄²	—	4	2	no	—
362	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
363	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
364	C₄²	C₁₁×#41	1	1	yes	characteristic
365	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
366	C₁₁	#19223	1	1	yes	characteristic, direct product factor, Sylow
367	C₂³	—	2	1	no	—
368	C₂³	C₁₁×#121	1	1	yes	characteristic
369	Q₈	—	2	1	no	—
370	Q₈	—	2	1	no	—
371	Q₈	—	4	2	no	—
372	Q₈	—	4	2	no	—
373	Q₈	—	4	2	no	—
374	Q₈	—	4	2	no	—
375	D₄	—	2	1	no	—
376	D₄	—	2	1	no	—
377	D₄	—	4	2	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	2	1	no	—
380	C₂×C₄	—	2	1	no	—
381	C₂×C₄	—	2	1	no	—
382	C₂×C₄	—	2	1	no	—
383	C₂×C₄	—	2	1	no	—
384	C₂×C₄	—	2	1	no	—
385	C₂×C₄	—	2	1	no	—
386	C₂×C₄	—	4	1	no	—
387	C₂×C₄	—	4	1	no	—
388	C₂×C₄	—	4	2	no	—
389	C₂×C₄	—	4	2	no	—
390	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
391	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
392	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
393	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
394	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
395	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
396	C₈	—	2	1	no	—
397	C₈	—	2	1	no	—
398	C₈	—	2	1	no	—
399	C₈	—	4	1	no	—
400	C₈	—	4	1	no	—
401	C₈	—	4	2	no	—
402	C₈	—	4	2	no	—
403	C₈	C₁₁×#135	1	2	yes	—
404	C₂²	—	2	1	no	—
405	C₂²	—	2	1	no	—
406	C₂²	—	4	1	no	—
407	C₂²	—	4	1	no	—
408	C₂²	—	4	1	no	—
409	C₂²	C₁₁×#473	1	2	yes	—
410	C₂²	C₂×C₁₁×#121	1	1	yes	characteristic
411	C₄	—	2	1	no	—
412	C₄	—	2	1	no	—
413	C₄	—	2	1	no	—
414	C₄	—	2	1	no	—
415	C₄	—	4	1	no	—
416	C₄	—	4	1	no	—
417	C₄	—	4	1	no	—
418	C₄	—	8	2	no	—
419	C₄	—	8	2	no	—
420	C₄	C₂×C₁₁×#135	1	1	yes	characteristic
421	C₄	C₁₁×#575	1	1	yes	characteristic
422	C₄	C₁₁×#576	1	1	yes	characteristic
423	C₄	C₁₁×#578	1	1	yes	characteristic
424	C₂	—	2	2	no	—
425	C₂	—	8	1	no	—
426	C₂	C₁₁×#3035	1	1	yes	characteristic
427	C₂	C₁₁×#3061	1	1	yes	characteristic
428	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	C₁₁×#121	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
2. C₁₁×#3170	C₂	semidirect
4. C₁₁×#1700	C₂	semidirect
5. C₁₁×#1699	C₂	semidirect
6. C₁₁×#1674	C₂	semidirect
7. C₁₁×#1673	C₂	semidirect
8. C₁₁×#1670	C₂	semidirect
9. C₁₁×#1669	C₂	semidirect
10. C₂×C₁₁×#335	C₂	semidirect
11. C₁₁×#1552	C₂	semidirect
102. #19223	C₁₁	direct (N × H)
154. #3170	C₂×C₁₁	semidirect
156. #1700	C₂×C₁₁	semidirect
157. #1699	C₂×C₁₁	semidirect
158. #1674	C₂×C₁₁	semidirect
159. #1673	C₂×C₁₁	semidirect
160. #1670	C₂×C₁₁	semidirect
161. #1669	C₂×C₁₁	semidirect
162. C₂×#335	C₂×C₁₁	semidirect
163. #1552	C₂×C₁₁	semidirect
366. C₁₁	#19223	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×#3248	2
C₁₁×#3170	2
C₁₁×#2966	2
C₁₁×#1700	2
C₁₁×#1699	2
C₁₁×#1674	2
C₁₁×#1673	2
C₁₁×#1670	2
C₁₁×#1669	2
C₂×C₁₁×#335	2
C₁₁×#1552	2
#19223	11

Subgroups — C11×#19223 #14596416

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#19223 #14596416