Subgroups — C₁₁×#19227 #14596420

Order 2816.

628 conjugacy classes of subgroups.

The subgroup lattice has 438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3247	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3169	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#2966	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#1696	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#1695	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#1688	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1687	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#1678	C₂	1	2	yes	maximal, complemented
9	C₁₁×#1677	C₂	1	2	yes	maximal, complemented
10	C₂×C₁₁×#334	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#1551	C₂	1	2	yes	maximal, complemented
12	C₁₁×#532	C₂²	1	2	yes	—
13	C₁₁×#529	C₂²	1	1	yes	characteristic
14	C₁₁×#500	C₂²	1	1	yes	characteristic
15	C₁₁×#493	C₂²	1	1	yes	characteristic
16	C₁₁×#486	C₂²	1	2	yes	—
17	C₁₁×#478	—	2	2	no	—
18	C₁₁×#477	C₂²	1	2	yes	—
19	C₁₁×#476	C₂²	1	2	yes	—
20	C₁₁×#466	—	2	1	no	—
21	C₁₁×#466	—	2	1	no	—
22	C₁₁×#466	—	2	2	no	—
23	C₁₁×#465	—	2	2	no	—
24	C₁₁×#463	—	2	2	no	—
25	C₁₁×#460	C₂²	1	2	yes	—
26	C₁₁×#459	C₂²	1	2	yes	—
27	C₁₁×#446	C₂²	1	1	yes	characteristic
28	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic
29	C₄×C₁₁×D₈	—	2	1	no	—
30	C₄×C₁₁×D₈	—	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×#334	C₂²	1	2	yes	—
41	C₁₁×#334	C₂²	1	1	yes	characteristic
42	C₁₁×#334	C₂²	1	1	yes	characteristic
43	C₁₁×#333	C₂²	1	2	yes	—
44	C₁₁×#333	C₂²	1	2	yes	—
45	C₁₁×#331	C₂²	1	2	yes	—
46	C₁₁×#331	C₂²	1	2	yes	—
47	C₂×C₁₁×#41	—	2	2	no	—
48	C₂×C₁₁×SD₁₆	—	2	2	no	—
49	C₂×C₁₁×D₈	—	2	2	no	—
50	C₂×C₁₁×D₈	—	2	1	no	—
51	C₂×C₁₁×D₈	—	2	1	no	—
52	C₂×C₁₁×M₁₆	—	2	1	no	—
53	C₂²×C₈×C₁₁	—	2	2	no	—
54	C₂²×C₈×C₁₁	—	2	1	no	—
55	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
56	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
57	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
58	C₁₁×#127	C₂³	1	2	yes	—
59	C₁₁×#126	—	2	1	no	—
60	C₁₁×#125	D₄	1	1	yes	characteristic
61	C₁₁×#124	—	2	2	no	—
62	C₁₁×#124	D₄	1	1	yes	characteristic
63	C₁₁×#123	—	2	1	no	—
64	C₁₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
65	C₁₁×#121	—	2	2	no	—
66	C₁₁×#121	—	2	2	no	—
67	C₁₁×#121	D₄	1	1	yes	characteristic
68	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
69	C₄×D₄×C₁₁	—	2	1	no	—
70	C₄×D₄×C₁₁	—	2	2	no	—
71	C₄×D₄×C₁₁	—	2	2	no	—
72	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
73	C₁₁×#117	—	2	1	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×#102	—	2	2	no	—
88	C₁₁×#102	—	2	2	no	—
89	C₁₁×#102	—	2	2	no	—
90	C₁₁×#102	—	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	#19227	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
103	C₁₁×#41	—	8	4	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	—	2	2	no	—
108	C₂×D₄×C₁₁	—	2	2	no	—
109	C₂×D₄×C₁₁	—	2	2	no	—
110	C₂×D₄×C₁₁	—	4	2	no	—
111	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
112	C₂²×C₄×C₁₁	—	2	1	no	—
113	C₂²×C₄×C₁₁	—	4	2	no	—
114	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
115	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
116	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
117	C₁₁×SD₁₆	—	8	2	no	—
118	C₁₁×D₈	—	4	2	no	—
119	C₁₁×D₈	—	4	2	no	—
120	C₁₁×D₈	—	8	2	no	—
121	C₁₁×M₁₆	—	4	2	no	—
122	C₂×C₈×C₁₁	—	2	2	no	—
123	C₂×C₈×C₁₁	—	2	1	no	—
124	C₂×C₈×C₁₁	—	2	1	no	—
125	C₂×C₈×C₁₁	—	2	2	no	—
126	C₂×C₈×C₁₁	—	2	2	no	—
127	C₂×C₈×C₁₁	—	4	1	no	—
128	C₂×C₈×C₁₁	—	4	2	no	—
129	C₂×C₈×C₁₁	—	8	2	no	—
130	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
131	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
132	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
133	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
134	C₁₁×C₄⋊C₄	—	2	1	no	—
135	C₁₁×C₄⋊C₄	—	2	1	no	—
136	C₁₁×C₄⋊C₄	—	2	1	no	—
137	C₁₁×C₄⋊C₄	—	2	1	no	—
138	C₁₁×C₄⋊C₄	—	2	2	no	—
139	C₁₁×C₄⋊C₄	—	2	2	no	—
140	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
141	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
147	C₁₁×C₂²⋊C₄	—	4	2	no	—
148	C₁₁×C₂²⋊C₄	—	4	2	no	—
149	C₄²×C₁₁	—	2	1	no	—
150	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
151	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
152	C₄²×C₁₁	#41	1	1	yes	characteristic
153	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
154	#3247	C₂×C₁₁	1	2	yes	complemented
155	#3169	C₂×C₁₁	1	1	yes	characteristic, complemented
156	#2966	C₂×C₁₁	1	1	yes	characteristic, complemented
157	#1696	C₂×C₁₁	1	1	yes	characteristic, complemented
158	#1695	C₂×C₁₁	1	1	yes	characteristic, complemented
159	#1688	C₂×C₁₁	1	1	yes	characteristic, complemented
160	#1687	C₂×C₁₁	1	1	yes	characteristic, complemented
161	#1678	C₂×C₁₁	1	2	yes	complemented
162	#1677	C₂×C₁₁	1	2	yes	complemented
163	C₂×#334	C₂×C₁₁	1	1	yes	characteristic, complemented
164	#1551	C₂×C₁₁	1	2	yes	complemented
165	C₂³×C₁₁	—	2	1	no	—
166	C₂³×C₁₁	—	4	2	no	—
167	C₂³×C₁₁	#121	1	1	yes	characteristic
168	Q₈×C₁₁	—	2	2	no	—
169	Q₈×C₁₁	—	8	2	no	—
170	D₄×C₁₁	—	2	2	no	—
171	D₄×C₁₁	—	4	2	no	—
172	D₄×C₁₁	—	4	2	no	—
173	D₄×C₁₁	—	4	2	no	—
174	D₄×C₁₁	—	4	2	no	—
175	D₄×C₁₁	—	4	2	no	—
176	D₄×C₁₁	—	8	2	no	—
177	D₄×C₁₁	—	8	4	no	—
178	C₂×C₄×C₁₁	—	2	2	no	—
179	C₂×C₄×C₁₁	—	2	1	no	—
180	C₂×C₄×C₁₁	—	2	1	no	—
181	C₂×C₄×C₁₁	—	2	2	no	—
182	C₂×C₄×C₁₁	—	2	1	no	—
183	C₂×C₄×C₁₁	—	2	1	no	—
184	C₂×C₄×C₁₁	—	2	1	no	—
185	C₂×C₄×C₁₁	—	4	1	no	—
186	C₂×C₄×C₁₁	—	4	1	no	—
187	C₂×C₄×C₁₁	—	4	2	no	—
188	C₂×C₄×C₁₁	—	8	4	no	—
189	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
190	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
191	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
192	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
193	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
194	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
195	C₈×C₁₁	—	2	1	no	—
196	C₈×C₁₁	—	2	1	no	—
197	C₈×C₁₁	—	2	1	no	—
198	C₈×C₁₁	—	4	1	no	—
199	C₈×C₁₁	—	4	1	no	—
200	C₈×C₁₁	—	4	2	no	—
201	C₈×C₁₁	—	4	2	no	—
202	C₈×C₁₁	#135	1	2	yes	—
203	#532	C₂²×C₁₁	1	2	yes	—
204	#529	C₂²×C₁₁	1	1	yes	characteristic
205	#500	C₂²×C₁₁	1	1	yes	characteristic
206	#493	C₂²×C₁₁	1	1	yes	characteristic
207	#486	C₂²×C₁₁	1	2	yes	—
208	#478	—	2	2	no	—
209	#477	C₂²×C₁₁	1	2	yes	—
210	#476	C₂²×C₁₁	1	2	yes	—
211	#466	—	2	1	no	—
212	#466	—	2	1	no	—
213	#466	—	2	2	no	—
214	#465	—	2	2	no	—
215	#463	—	2	2	no	—
216	#460	C₂²×C₁₁	1	2	yes	—
217	#459	C₂²×C₁₁	1	2	yes	—
218	#446	C₂²×C₁₁	1	1	yes	characteristic
219	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic
220	C₄×D₈	—	2	1	no	—
221	C₄×D₈	—	2	1	no	—
222	#436	C₂²×C₁₁	1	1	yes	characteristic
223	#435	—	2	1	no	—
224	C₈×D₄	—	2	1	no	—
225	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
226	#433	—	2	1	no	—
227	#432	C₂²×C₁₁	1	1	yes	characteristic
228	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
229	#405	—	2	1	no	—
230	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
231	#334	C₂²×C₁₁	1	2	yes	—
232	#334	C₂²×C₁₁	1	1	yes	characteristic
233	#334	C₂²×C₁₁	1	1	yes	characteristic
234	#333	C₂²×C₁₁	1	2	yes	—
235	#333	C₂²×C₁₁	1	2	yes	—
236	#331	C₂²×C₁₁	1	2	yes	—
237	#331	C₂²×C₁₁	1	2	yes	—
238	C₂²×C₁₁	—	2	1	no	—
239	C₂²×C₁₁	—	2	1	no	—
240	C₂²×C₁₁	—	4	1	no	—
241	C₂²×C₁₁	—	4	1	no	—
242	C₂²×C₁₁	—	4	1	no	—
243	C₂²×C₁₁	—	8	2	no	—
244	C₂²×C₁₁	—	8	2	no	—
245	C₂²×C₁₁	—	8	2	no	—
246	C₂²×C₁₁	#472	1	2	yes	—
247	C₂²×C₁₁	C₂×#121	1	1	yes	characteristic
248	C₄×C₁₁	—	2	1	no	—
249	C₄×C₁₁	—	2	1	no	—
250	C₄×C₁₁	—	2	1	no	—
251	C₄×C₁₁	—	2	1	no	—
252	C₄×C₁₁	—	4	1	no	—
253	C₄×C₁₁	—	4	1	no	—
254	C₄×C₁₁	—	4	1	no	—
255	C₄×C₁₁	—	8	2	no	—
256	C₄×C₁₁	C₂×#135	1	1	yes	characteristic
257	C₄×C₁₁	#575	1	1	yes	characteristic
258	C₄×C₁₁	#577	1	2	yes	—
259	C₂×#41	—	2	2	no	—
260	C₂×SD₁₆	—	2	2	no	—
261	C₂×D₈	—	2	2	no	—
262	C₂×D₈	—	2	1	no	—
263	C₂×D₈	—	2	1	no	—
264	C₂×M₁₆	—	2	1	no	—
265	C₂²×C₈	—	2	2	no	—
266	C₂²×C₈	—	2	1	no	—
267	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
268	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
269	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
270	#127	C₂³×C₁₁	1	2	yes	—
271	#126	—	2	1	no	—
272	#125	D₄×C₁₁	1	1	yes	characteristic
273	#124	—	2	2	no	—
274	#124	D₄×C₁₁	1	1	yes	characteristic
275	#123	—	2	1	no	—
276	C₂²⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
277	#121	—	2	2	no	—
278	#121	—	2	2	no	—
279	#121	D₄×C₁₁	1	1	yes	characteristic
280	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
281	C₄×D₄	—	2	1	no	—
282	C₄×D₄	—	2	2	no	—
283	C₄×D₄	—	2	2	no	—
284	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
285	#117	—	2	1	no	—
286	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
287	#107	—	2	1	no	—
288	#107	—	2	1	no	—
289	#107	—	2	2	no	—
290	#106	—	2	2	no	—
291	C₄⋊C₈	—	2	1	no	—
292	C₄⋊C₈	—	2	1	no	—
293	C₄⋊C₈	—	2	2	no	—
294	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
295	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
296	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
297	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
298	#103	—	2	2	no	—
299	#102	—	2	2	no	—
300	#102	—	2	2	no	—
301	#102	—	2	2	no	—
302	#102	—	2	2	no	—
303	#102	—	2	2	no	—
304	C₂²⋊C₈	—	2	1	no	—
305	C₂²⋊C₈	—	2	1	no	—
306	C₂²⋊C₈	—	2	1	no	—
307	#97	—	2	1	no	—
308	#97	—	2	1	no	—
309	C₄×C₈	—	2	1	no	—
310	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
311	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
312	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
313	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
314	C₂×C₁₁	—	2	2	no	—
315	C₂×C₁₁	—	8	1	no	—
316	C₂×C₁₁	—	16	2	no	—
317	C₂×C₁₁	#3035	1	1	yes	characteristic
318	C₂×C₁₁	#3060	1	1	yes	characteristic
319	C₂×C₁₁	C₂×#472	1	1	yes	characteristic
320	#41	—	8	4	no	—
321	C₂×Q₈	—	2	2	no	—
322	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
323	C₂×D₄	—	2	1	no	—
324	C₂×D₄	—	2	2	no	—
325	C₂×D₄	—	2	2	no	—
326	C₂×D₄	—	2	2	no	—
327	C₂×D₄	—	4	2	no	—
328	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
329	C₂²×C₄	—	2	1	no	—
330	C₂²×C₄	—	4	2	no	—
331	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
332	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
333	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
334	SD₁₆	—	8	2	no	—
335	D₈	—	4	2	no	—
336	D₈	—	4	2	no	—
337	D₈	—	8	2	no	—
338	M₁₆	—	4	2	no	—
339	C₂×C₈	—	2	2	no	—
340	C₂×C₈	—	2	1	no	—
341	C₂×C₈	—	2	1	no	—
342	C₂×C₈	—	2	2	no	—
343	C₂×C₈	—	2	2	no	—
344	C₂×C₈	—	4	1	no	—
345	C₂×C₈	—	4	2	no	—
346	C₂×C₈	—	8	2	no	—
347	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
348	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
349	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
350	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
351	C₄⋊C₄	—	2	1	no	—
352	C₄⋊C₄	—	2	1	no	—
353	C₄⋊C₄	—	2	1	no	—
354	C₄⋊C₄	—	2	1	no	—
355	C₄⋊C₄	—	2	2	no	—
356	C₄⋊C₄	—	2	2	no	—
357	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
358	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
359	C₂²⋊C₄	—	2	1	no	—
360	C₂²⋊C₄	—	2	1	no	—
361	C₂²⋊C₄	—	2	1	no	—
362	C₂²⋊C₄	—	2	1	no	—
363	C₂²⋊C₄	—	2	1	no	—
364	C₂²⋊C₄	—	4	2	no	—
365	C₂²⋊C₄	—	4	2	no	—
366	C₄²	—	2	1	no	—
367	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
368	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
369	C₄²	C₁₁×#41	1	1	yes	characteristic
370	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
371	C₁₁	#19227	1	1	yes	characteristic, direct product factor, Sylow
372	C₂³	—	2	1	no	—
373	C₂³	—	4	2	no	—
374	C₂³	C₁₁×#121	1	1	yes	characteristic
375	Q₈	—	2	2	no	—
376	Q₈	—	8	2	no	—
377	D₄	—	2	2	no	—
378	D₄	—	4	2	no	—
379	D₄	—	4	2	no	—
380	D₄	—	4	2	no	—
381	D₄	—	4	2	no	—
382	D₄	—	4	2	no	—
383	D₄	—	8	2	no	—
384	D₄	—	8	4	no	—
385	C₂×C₄	—	2	2	no	—
386	C₂×C₄	—	2	1	no	—
387	C₂×C₄	—	2	1	no	—
388	C₂×C₄	—	2	2	no	—
389	C₂×C₄	—	2	1	no	—
390	C₂×C₄	—	2	1	no	—
391	C₂×C₄	—	2	1	no	—
392	C₂×C₄	—	4	1	no	—
393	C₂×C₄	—	4	1	no	—
394	C₂×C₄	—	4	2	no	—
395	C₂×C₄	—	8	4	no	—
396	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
397	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
398	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
399	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
400	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
401	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
402	C₈	—	2	1	no	—
403	C₈	—	2	1	no	—
404	C₈	—	2	1	no	—
405	C₈	—	4	1	no	—
406	C₈	—	4	1	no	—
407	C₈	—	4	2	no	—
408	C₈	—	4	2	no	—
409	C₈	C₁₁×#135	1	2	yes	—
410	C₂²	—	2	1	no	—
411	C₂²	—	2	1	no	—
412	C₂²	—	4	1	no	—
413	C₂²	—	4	1	no	—
414	C₂²	—	4	1	no	—
415	C₂²	—	8	2	no	—
416	C₂²	—	8	2	no	—
417	C₂²	—	8	2	no	—
418	C₂²	C₁₁×#472	1	2	yes	—
419	C₂²	C₂×C₁₁×#121	1	1	yes	characteristic
420	C₄	—	2	1	no	—
421	C₄	—	2	1	no	—
422	C₄	—	2	1	no	—
423	C₄	—	2	1	no	—
424	C₄	—	4	1	no	—
425	C₄	—	4	1	no	—
426	C₄	—	4	1	no	—
427	C₄	—	8	2	no	—
428	C₄	C₂×C₁₁×#135	1	1	yes	characteristic
429	C₄	C₁₁×#575	1	1	yes	characteristic
430	C₄	C₁₁×#577	1	2	yes	—
431	C₂	—	2	2	no	—
432	C₂	—	8	1	no	—
433	C₂	—	16	2	no	—
434	C₂	C₁₁×#3035	1	1	yes	characteristic
435	C₂	C₁₁×#3060	1	1	yes	characteristic
436	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×#3247	C₂	semidirect
2. C₁₁×#3169	C₂	semidirect
3. C₁₁×#2966	C₂	semidirect
4. C₁₁×#1696	C₂	semidirect
5. C₁₁×#1695	C₂	semidirect
6. C₁₁×#1688	C₂	semidirect
7. C₁₁×#1687	C₂	semidirect
8. C₁₁×#1678	C₂	semidirect
9. C₁₁×#1677	C₂	semidirect
10. C₂×C₁₁×#334	C₂	semidirect
11. C₁₁×#1551	C₂	semidirect
102. #19227	C₁₁	direct (N × H)
154. #3247	C₂×C₁₁	semidirect
155. #3169	C₂×C₁₁	semidirect
156. #2966	C₂×C₁₁	semidirect
157. #1696	C₂×C₁₁	semidirect
158. #1695	C₂×C₁₁	semidirect
159. #1688	C₂×C₁₁	semidirect
160. #1687	C₂×C₁₁	semidirect
161. #1678	C₂×C₁₁	semidirect
162. #1677	C₂×C₁₁	semidirect
163. C₂×#334	C₂×C₁₁	semidirect
164. #1551	C₂×C₁₁	semidirect
371. C₁₁	#19227	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×#3247	2
C₁₁×#3169	2
C₁₁×#2966	2
C₁₁×#1696	2
C₁₁×#1695	2
C₁₁×#1688	2
C₁₁×#1687	2
C₁₁×#1678	2
C₁₁×#1677	2
C₂×C₁₁×#334	2
C₁₁×#1551	2
#19227	11

Subgroups — C11×#19227 #14596420

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#19227 #14596420