Subgroups — C₁₁×#19222 #14596415

Order 2816.

628 conjugacy classes of subgroups.

The subgroup lattice has 446 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×#1698	C₂	1	2	yes	maximal, complemented
5	C₁₁×#1697	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1676	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1675	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#1668	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#1667	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₁×#335	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×#335	C₂²	1	1	yes	characteristic
41	C₁₁×#335	C₂²	1	1	yes	characteristic
42	C₁₁×#335	C₂²	1	2	yes	—
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	#19222	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	#1698	C₂×C₁₁	1	2	yes	complemented
158	#1697	C₂×C₁₁	1	2	yes	complemented
159	#1676	C₂×C₁₁	1	1	yes	characteristic, complemented
160	#1675	C₂×C₁₁	1	1	yes	characteristic, complemented
161	#1668	C₂×C₁₁	1	1	yes	characteristic, complemented
162	#1667	C₂×C₁₁	1	1	yes	characteristic, complemented
163	C₂×#335	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	1	no	—
169	Q₈×C₁₁	—	2	1	no	—
170	Q₈×C₁₁	—	8	2	no	—
171	D₄×C₁₁	—	2	1	no	—
172	D₄×C₁₁	—	2	1	no	—
173	D₄×C₁₁	—	4	2	no	—
174	D₄×C₁₁	—	4	2	no	—
175	D₄×C₁₁	—	4	2	no	—
176	D₄×C₁₁	—	4	2	no	—
177	D₄×C₁₁	—	4	2	no	—
178	D₄×C₁₁	—	8	2	no	—
179	D₄×C₁₁	—	8	4	no	—
180	C₂×C₄×C₁₁	—	2	2	no	—
181	C₂×C₄×C₁₁	—	2	1	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	—	2	1	no	—
186	C₂×C₄×C₁₁	—	2	1	no	—
187	C₂×C₄×C₁₁	—	2	1	no	—
188	C₂×C₄×C₁₁	—	4	1	no	—
189	C₂×C₄×C₁₁	—	4	1	no	—
190	C₂×C₄×C₁₁	—	4	2	no	—
191	C₂×C₄×C₁₁	—	8	4	no	—
192	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
193	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
194	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
195	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
196	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
197	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
198	C₈×C₁₁	—	2	1	no	—
199	C₈×C₁₁	—	2	1	no	—
200	C₈×C₁₁	—	2	1	no	—
201	C₈×C₁₁	—	4	1	no	—
202	C₈×C₁₁	—	4	1	no	—
203	C₈×C₁₁	—	4	2	no	—
204	C₈×C₁₁	—	4	2	no	—
205	C₈×C₁₁	#135	1	2	yes	—
206	#532	C₂²×C₁₁	1	2	yes	—
207	#529	C₂²×C₁₁	1	1	yes	characteristic
208	#500	C₂²×C₁₁	1	1	yes	characteristic
209	#493	C₂²×C₁₁	1	1	yes	characteristic
210	#486	C₂²×C₁₁	1	2	yes	—
211	#478	—	2	2	no	—
212	#477	C₂²×C₁₁	1	2	yes	—
213	#476	C₂²×C₁₁	1	2	yes	—
214	#466	—	2	1	no	—
215	#466	—	2	1	no	—
216	#466	—	2	2	no	—
217	#465	—	2	2	no	—
218	#463	—	2	2	no	—
219	#460	C₂²×C₁₁	1	2	yes	—
220	#459	C₂²×C₁₁	1	2	yes	—
221	#446	C₂²×C₁₁	1	1	yes	characteristic
222	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic
223	C₄×D₈	—	2	1	no	—
224	C₄×D₈	—	2	1	no	—
225	#436	C₂²×C₁₁	1	1	yes	characteristic
226	#435	—	2	1	no	—
227	C₈×D₄	—	2	1	no	—
228	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
229	#433	—	2	1	no	—
230	#432	C₂²×C₁₁	1	1	yes	characteristic
231	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
232	#405	—	2	1	no	—
233	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
234	#335	C₂²×C₁₁	1	1	yes	characteristic
235	#335	C₂²×C₁₁	1	1	yes	characteristic
236	#335	C₂²×C₁₁	1	2	yes	—
237	#333	C₂²×C₁₁	1	2	yes	—
238	#333	C₂²×C₁₁	1	2	yes	—
239	#331	C₂²×C₁₁	1	2	yes	—
240	#331	C₂²×C₁₁	1	2	yes	—
241	C₂²×C₁₁	—	2	1	no	—
242	C₂²×C₁₁	—	2	1	no	—
243	C₂²×C₁₁	—	4	1	no	—
244	C₂²×C₁₁	—	4	1	no	—
245	C₂²×C₁₁	—	4	1	no	—
246	C₂²×C₁₁	—	8	2	no	—
247	C₂²×C₁₁	—	8	2	no	—
248	C₂²×C₁₁	—	8	2	no	—
249	C₂²×C₁₁	#472	1	2	yes	—
250	C₂²×C₁₁	C₂×#121	1	1	yes	characteristic
251	C₄×C₁₁	—	2	1	no	—
252	C₄×C₁₁	—	2	1	no	—
253	C₄×C₁₁	—	2	1	no	—
254	C₄×C₁₁	—	2	1	no	—
255	C₄×C₁₁	—	4	1	no	—
256	C₄×C₁₁	—	4	1	no	—
257	C₄×C₁₁	—	4	1	no	—
258	C₄×C₁₁	—	8	2	no	—
259	C₄×C₁₁	C₂×#135	1	1	yes	characteristic
260	C₄×C₁₁	#575	1	1	yes	characteristic
261	C₄×C₁₁	#576	1	1	yes	characteristic
262	C₄×C₁₁	#578	1	1	yes	characteristic
263	C₂×#41	—	2	2	no	—
264	C₂×SD₁₆	—	2	2	no	—
265	C₂×D₈	—	2	2	no	—
266	C₂×D₈	—	2	1	no	—
267	C₂×D₈	—	2	1	no	—
268	C₂×M₁₆	—	2	1	no	—
269	C₂²×C₈	—	2	2	no	—
270	C₂²×C₈	—	2	1	no	—
271	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
272	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
273	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
274	#127	C₂³×C₁₁	1	2	yes	—
275	#126	—	2	1	no	—
276	#125	D₄×C₁₁	1	1	yes	characteristic
277	#124	—	2	2	no	—
278	#124	D₄×C₁₁	1	1	yes	characteristic
279	#123	—	2	1	no	—
280	C₂²⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
281	#121	—	2	2	no	—
282	#121	—	2	2	no	—
283	#121	D₄×C₁₁	1	1	yes	characteristic
284	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
285	C₄×D₄	—	2	1	no	—
286	C₄×D₄	—	2	2	no	—
287	C₄×D₄	—	2	2	no	—
288	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
289	#117	—	2	1	no	—
290	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
291	#107	—	2	1	no	—
292	#107	—	2	1	no	—
293	#107	—	2	2	no	—
294	#106	—	2	2	no	—
295	C₄⋊C₈	—	2	1	no	—
296	C₄⋊C₈	—	2	1	no	—
297	C₄⋊C₈	—	2	2	no	—
298	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
299	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
300	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
301	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
302	#103	—	2	2	no	—
303	#102	—	2	2	no	—
304	#102	—	2	2	no	—
305	#102	—	2	2	no	—
306	#102	—	2	2	no	—
307	#102	—	2	2	no	—
308	C₂²⋊C₈	—	2	1	no	—
309	C₂²⋊C₈	—	2	1	no	—
310	C₂²⋊C₈	—	2	1	no	—
311	#97	—	2	1	no	—
312	#97	—	2	1	no	—
313	C₄×C₈	—	2	1	no	—
314	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
315	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
316	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
317	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
318	C₂×C₁₁	—	2	2	no	—
319	C₂×C₁₁	—	8	1	no	—
320	C₂×C₁₁	—	16	2	no	—
321	C₂×C₁₁	#3035	1	1	yes	characteristic
322	C₂×C₁₁	#3061	1	1	yes	characteristic
323	C₂×C₁₁	C₂×#472	1	1	yes	characteristic
324	#41	—	8	4	no	—
325	C₂×Q₈	—	2	2	no	—
326	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
327	C₂×D₄	—	2	1	no	—
328	C₂×D₄	—	2	2	no	—
329	C₂×D₄	—	2	2	no	—
330	C₂×D₄	—	2	2	no	—
331	C₂×D₄	—	4	2	no	—
332	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
333	C₂²×C₄	—	2	1	no	—
334	C₂²×C₄	—	4	2	no	—
335	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
336	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
337	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
338	SD₁₆	—	8	2	no	—
339	D₈	—	4	2	no	—
340	D₈	—	4	2	no	—
341	D₈	—	8	2	no	—
342	M₁₆	—	4	2	no	—
343	C₂×C₈	—	2	2	no	—
344	C₂×C₈	—	2	1	no	—
345	C₂×C₈	—	2	1	no	—
346	C₂×C₈	—	2	2	no	—
347	C₂×C₈	—	2	2	no	—
348	C₂×C₈	—	4	1	no	—
349	C₂×C₈	—	4	2	no	—
350	C₂×C₈	—	8	2	no	—
351	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
352	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
353	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
354	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
355	C₄⋊C₄	—	2	1	no	—
356	C₄⋊C₄	—	2	1	no	—
357	C₄⋊C₄	—	2	1	no	—
358	C₄⋊C₄	—	2	1	no	—
359	C₄⋊C₄	—	2	2	no	—
360	C₄⋊C₄	—	2	2	no	—
361	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
362	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
363	C₂²⋊C₄	—	2	1	no	—
364	C₂²⋊C₄	—	2	1	no	—
365	C₂²⋊C₄	—	2	1	no	—
366	C₂²⋊C₄	—	2	1	no	—
367	C₂²⋊C₄	—	2	1	no	—
368	C₂²⋊C₄	—	4	2	no	—
369	C₂²⋊C₄	—	4	2	no	—
370	C₄²	—	2	1	no	—
371	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
372	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
373	C₄²	C₁₁×#41	1	1	yes	characteristic
374	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
375	C₁₁	#19222	1	1	yes	characteristic, direct product factor, Sylow
376	C₂³	—	2	1	no	—
377	C₂³	—	4	2	no	—
378	C₂³	C₁₁×#121	1	1	yes	characteristic
379	Q₈	—	2	1	no	—
380	Q₈	—	2	1	no	—
381	Q₈	—	8	2	no	—
382	D₄	—	2	1	no	—
383	D₄	—	2	1	no	—
384	D₄	—	4	2	no	—
385	D₄	—	4	2	no	—
386	D₄	—	4	2	no	—
387	D₄	—	4	2	no	—
388	D₄	—	4	2	no	—
389	D₄	—	8	2	no	—
390	D₄	—	8	4	no	—
391	C₂×C₄	—	2	2	no	—
392	C₂×C₄	—	2	1	no	—
393	C₂×C₄	—	2	1	no	—
394	C₂×C₄	—	2	1	no	—
395	C₂×C₄	—	2	1	no	—
396	C₂×C₄	—	2	1	no	—
397	C₂×C₄	—	2	1	no	—
398	C₂×C₄	—	2	1	no	—
399	C₂×C₄	—	4	1	no	—
400	C₂×C₄	—	4	1	no	—
401	C₂×C₄	—	4	2	no	—
402	C₂×C₄	—	8	4	no	—
403	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
404	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
405	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
406	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
407	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
408	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
409	C₈	—	2	1	no	—
410	C₈	—	2	1	no	—
411	C₈	—	2	1	no	—
412	C₈	—	4	1	no	—
413	C₈	—	4	1	no	—
414	C₈	—	4	2	no	—
415	C₈	—	4	2	no	—
416	C₈	C₁₁×#135	1	2	yes	—
417	C₂²	—	2	1	no	—
418	C₂²	—	2	1	no	—
419	C₂²	—	4	1	no	—
420	C₂²	—	4	1	no	—
421	C₂²	—	4	1	no	—
422	C₂²	—	8	2	no	—
423	C₂²	—	8	2	no	—
424	C₂²	—	8	2	no	—
425	C₂²	C₁₁×#472	1	2	yes	—
426	C₂²	C₂×C₁₁×#121	1	1	yes	characteristic
427	C₄	—	2	1	no	—
428	C₄	—	2	1	no	—
429	C₄	—	2	1	no	—
430	C₄	—	2	1	no	—
431	C₄	—	4	1	no	—
432	C₄	—	4	1	no	—
433	C₄	—	4	1	no	—
434	C₄	—	8	2	no	—
435	C₄	C₂×C₁₁×#135	1	1	yes	characteristic
436	C₄	C₁₁×#575	1	1	yes	characteristic
437	C₄	C₁₁×#576	1	1	yes	characteristic
438	C₄	C₁₁×#578	1	1	yes	characteristic
439	C₂	—	2	2	no	—
440	C₂	—	8	1	no	—
441	C₂	—	16	2	no	—
442	C₂	C₁₁×#3035	1	1	yes	characteristic
443	C₂	C₁₁×#3061	1	1	yes	characteristic
444	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×#1698	C₂	semidirect
5. C₁₁×#1697	C₂	semidirect
6. C₁₁×#1676	C₂	semidirect
7. C₁₁×#1675	C₂	semidirect
8. C₁₁×#1668	C₂	semidirect
9. C₁₁×#1667	C₂	semidirect
10. C₂×C₁₁×#335	C₂	semidirect
11. C₁₁×#1551	C₂	semidirect
102. #19222	C₁₁	direct (N × H)
154. #3247	C₂×C₁₁	semidirect
155. #3169	C₂×C₁₁	semidirect
156. #2966	C₂×C₁₁	semidirect
157. #1698	C₂×C₁₁	semidirect
158. #1697	C₂×C₁₁	semidirect
159. #1676	C₂×C₁₁	semidirect
160. #1675	C₂×C₁₁	semidirect
161. #1668	C₂×C₁₁	semidirect
162. #1667	C₂×C₁₁	semidirect
163. C₂×#335	C₂×C₁₁	semidirect
164. #1551	C₂×C₁₁	semidirect
375. C₁₁	#19222	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×#1698	2
C₁₁×#1697	2
C₁₁×#1676	2
C₁₁×#1675	2
C₁₁×#1668	2
C₁₁×#1667	2
C₂×C₁₁×#335	2
C₁₁×#1551	2
#19222	11

Subgroups — C11×#19222 #14596415

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#19222 #14596415