Subgroups — D₁₁×#1388 #14668702

Order 2816.

554 conjugacy classes of subgroups.

The subgroup lattice has 460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₁×M₃₂	C₂	1	1	yes	maximal, characteristic
2	C₂×D₁₁×#108	C₂	1	1	yes	maximal, characteristic
3	C₂×D₁₁×#108	C₂	1	1	yes	maximal, characteristic
4	#13066729	C₂	1	1	yes	maximal, characteristic, complemented
5	#13066728	C₂	1	1	yes	maximal, characteristic, complemented
6	#13066727	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1388	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×M₁₆×D₁₁	—	2	1	no	—
9	C₂×M₁₆×D₁₁	—	2	1	no	—
10	C₂²×C₈×D₁₁	C₂²	1	1	yes	characteristic
11	C₂×C₁₁×M₃₂	C₂²	1	1	yes	characteristic
12	C₂×C₁₁×#108	C₂²	1	1	yes	characteristic
13	C₂×C₁₁×#108	C₂²	1	1	yes	characteristic
14	C₂×#66886	—	2	1	no	—
15	C₂×#66886	—	2	1	no	—
16	C₂×#66883	C₂²	1	1	yes	characteristic
17	C₂×#66883	C₂²	1	1	yes	characteristic
18	C₂×#66876	C₂²	1	1	yes	characteristic
19	D₁₁×M₃₂	—	2	1	no	—
20	D₁₁×M₃₂	—	2	1	no	—
21	D₁₁×M₃₂	C₄	1	2	yes	—
22	D₁₁×M₃₂	C₄	1	2	yes	—
23	C₂×#66862	—	2	1	no	—
24	C₂×C₁₆×D₁₁	—	2	1	no	—
25	D₁₁×#108	—	2	1	no	—
26	D₁₁×#108	—	2	1	no	—
27	D₁₁×#108	—	2	1	no	—
28	D₁₁×#108	—	2	1	no	—
29	D₁₁×#108	C₄	1	2	yes	—
30	D₁₁×#108	C₄	1	2	yes	—
31	D₁₁×#108	C₄	1	2	yes	—
32	D₁₁×#108	C₄	1	2	yes	—
33	C₂²×C₄×D₁₁	D₄	1	1	yes	characteristic
34	C₂×C₁₁×M₁₆	—	2	1	no	—
35	C₂×C₁₁×M₁₆	—	2	1	no	—
36	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
37	C₂×#4318	—	2	1	no	—
38	C₂×#4318	—	2	1	no	—
39	C₂²×C₁₁⋊C₈	D₄	1	1	yes	characteristic
40	M₁₆×D₁₁	—	2	2	no	—
41	M₁₆×D₁₁	—	2	2	no	—
42	M₁₆×D₁₁	—	2	2	no	—
43	M₁₆×D₁₁	—	2	2	no	—
44	M₁₆×D₁₁	—	4	1	no	—
45	M₁₆×D₁₁	—	4	1	no	—
46	M₁₆×D₁₁	—	4	1	no	—
47	M₁₆×D₁₁	—	4	1	no	—
48	C₂×#4313	—	4	1	no	—
49	C₂×#4313	—	4	1	no	—
50	C₂×C₈×D₁₁	—	4	1	no	—
51	C₂×C₈×D₁₁	—	4	1	no	—
52	C₂×C₈×D₁₁	C₂×C₄	1	1	yes	characteristic
53	C₂×C₈×D₁₁	C₂×C₄	1	1	yes	characteristic
54	C₂×C₈×D₁₁	C₂×C₄	1	1	yes	characteristic
55	C₂×C₈×D₁₁	C₂×C₄	1	1	yes	characteristic
56	C₂×C₈×D₁₁	C₂×C₄	1	1	yes	characteristic
57	C₂×C₈×D₁₁	C₂×C₄	1	1	yes	characteristic
58	C₂×C₈×D₁₁	D₄	1	1	yes	characteristic
59	C₂×C₈×D₁₁	D₄	1	1	yes	characteristic
60	C₂×C₈×D₁₁	D₄	1	1	yes	characteristic
61	C₂×C₈×D₁₁	D₄	1	1	yes	characteristic
62	C₂×C₈×D₁₁	Q₈	1	1	yes	characteristic
63	C₂×C₈×D₁₁	Q₈	1	1	yes	characteristic
64	C₁₁×M₃₂	—	2	1	no	—
65	C₁₁×M₃₂	C₂×C₄	1	2	yes	—
66	C₂×C₁₁×C₁₆	—	2	1	no	—
67	C₁₁×#108	—	2	1	no	—
68	C₁₁×#108	—	2	1	no	—
69	C₁₁×#108	C₂×C₄	1	2	yes	—
70	C₁₁×#108	C₂×C₄	1	2	yes	—
71	#66886	—	2	2	no	—
72	#66886	—	2	2	no	—
73	#66886	—	2	2	no	—
74	#66886	—	2	2	no	—
75	#66883	—	2	1	no	—
76	#66883	—	2	1	no	—
77	#66883	C₂×C₄	1	2	yes	—
78	#66883	C₂×C₄	1	2	yes	—
79	#66876	—	2	1	no	—
80	#66876	C₂×C₄	1	2	yes	—
81	C₂×C₁₁⋊C₁₆	—	2	1	no	—
82	#66862	—	2	2	no	—
83	#66862	—	2	2	no	—
84	C₁₆×D₁₁	—	2	2	no	—
85	C₁₆×D₁₁	—	2	2	no	—
86	C₂×#1388	—	11	1	no	maximal, Sylow
87	C₂³×D₁₁	Q₁₆	1	1	yes	characteristic
88	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
89	C₂²×Dic₁₁	Q₁₆	1	1	yes	characteristic
90	C₂×C₄×D₁₁	C₂²⋊C₄	1	1	yes	characteristic
91	C₂×C₄×D₁₁	C₂²⋊C₄	1	1	yes	characteristic
92	C₂×C₄×D₁₁	C₂²⋊C₄	1	1	yes	characteristic
93	C₂×C₄×D₁₁	C₂²⋊C₄	1	1	yes	characteristic
94	C₂×C₄×D₁₁	C₄⋊C₄	1	1	yes	characteristic
95	C₂×C₄×D₁₁	C₄⋊C₄	1	1	yes	characteristic
96	C₂×C₄×D₁₁	D₈	1	1	yes	characteristic
97	C₂×C₄×D₁₁	D₈	1	1	yes	characteristic
98	C₂×C₄×D₁₁	SD₁₆	1	1	yes	characteristic
99	C₂×C₄×D₁₁	SD₁₆	1	1	yes	characteristic
100	C₂×C₄×D₁₁	SD₁₆	1	1	yes	characteristic
101	C₂×C₄×D₁₁	SD₁₆	1	1	yes	characteristic
102	C₁₁×M₁₆	—	2	2	no	—
103	C₁₁×M₁₆	—	2	2	no	—
104	C₁₁×M₁₆	—	4	1	no	—
105	C₁₁×M₁₆	—	4	1	no	—
106	C₂×C₈×C₁₁	—	4	1	no	—
107	C₂×C₈×C₁₁	—	4	1	no	—
108	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
109	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
110	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
111	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
112	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
113	C₂×C₈×C₁₁	C₂×Q₈	1	1	yes	characteristic
114	#4318	—	2	2	no	—
115	#4318	—	2	2	no	—
116	#4318	—	4	1	no	—
117	#4318	—	4	1	no	—
118	C₂×C₁₁⋊C₈	—	4	1	no	—
119	C₂×C₁₁⋊C₈	—	4	1	no	—
120	C₂×C₁₁⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
121	C₂×C₁₁⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
122	C₂×C₁₁⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
123	C₂×C₁₁⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
124	C₂×C₁₁⋊C₈	C₄⋊C₄	1	1	yes	characteristic
125	C₂×C₁₁⋊C₈	C₄⋊C₄	1	1	yes	characteristic
126	#4313	—	4	2	no	—
127	#4313	—	4	2	no	—
128	#4313	—	4	2	no	—
129	#4313	—	4	2	no	—
130	C₈×D₁₁	—	4	2	no	—
131	C₈×D₁₁	—	4	2	no	—
132	C₈×D₁₁	—	4	2	no	—
133	C₈×D₁₁	—	4	2	no	—
134	C₈×D₁₁	C₄²	1	1	yes	characteristic
135	C₈×D₁₁	C₄²	1	1	yes	characteristic
136	C₈×D₁₁	C₄²	1	1	yes	characteristic
137	C₈×D₁₁	C₄²	1	1	yes	characteristic
138	C₈×D₁₁	C₂²⋊C₄	1	1	yes	characteristic
139	C₈×D₁₁	C₂²⋊C₄	1	1	yes	characteristic
140	C₈×D₁₁	C₂²⋊C₄	1	1	yes	characteristic
141	C₈×D₁₁	C₂²⋊C₄	1	1	yes	characteristic
142	C₈×D₁₁	C₄⋊C₄	1	1	yes	characteristic
143	C₈×D₁₁	C₄⋊C₄	1	1	yes	characteristic
144	C₈×D₁₁	C₄⋊C₄	1	1	yes	characteristic
145	C₈×D₁₁	C₄⋊C₄	1	1	yes	characteristic
146	C₈×D₁₁	C₄⋊C₄	1	1	yes	characteristic
147	C₈×D₁₁	C₄⋊C₄	1	1	yes	characteristic
148	C₈×D₁₁	C₄⋊C₄	1	1	yes	characteristic
149	C₈×D₁₁	C₄⋊C₄	1	1	yes	characteristic
150	C₁₁×C₁₆	—	2	2	no	—
151	C₁₁⋊C₁₆	—	2	2	no	—
152	C₂²×M₃₂	—	11	1	no	—
153	C₂²×#108	—	11	1	no	—
154	C₂²×#108	—	11	1	no	—
155	#1388	—	11	1	no	—
156	#1388	—	11	1	no	—
157	#1388	—	11	1	no	—
158	#1388	D₁₁	1	1	yes	characteristic, direct product factor
159	C₂³×C₁₁	C₂×Q₁₆	1	1	yes	characteristic
160	C₂²×D₁₁	—	4	2	no	—
161	C₂²×D₁₁	#103	1	1	yes	characteristic
162	C₂²×D₁₁	#103	1	1	yes	characteristic
163	C₂²×D₁₁	#103	1	1	yes	characteristic
164	C₂²×D₁₁	#103	1	1	yes	characteristic
165	C₂²×D₁₁	#107	1	1	yes	characteristic
166	C₂²×D₁₁	#107	1	1	yes	characteristic
167	C₂×C₄×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
168	C₂×C₄×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
169	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
170	C₂×C₄×C₁₁	C₂×D₈	1	1	yes	characteristic
171	C₂×C₄×C₁₁	C₂×SD₁₆	1	1	yes	characteristic
172	C₂×C₄×C₁₁	C₂×SD₁₆	1	1	yes	characteristic
173	C₂×Dic₁₁	#103	1	1	yes	characteristic
174	C₂×Dic₁₁	#103	1	1	yes	characteristic
175	C₂×Dic₁₁	#103	1	1	yes	characteristic
176	C₂×Dic₁₁	#103	1	1	yes	characteristic
177	C₂×Dic₁₁	#107	1	1	yes	characteristic
178	C₂×Dic₁₁	#107	1	1	yes	characteristic
179	C₄×D₁₁	#95	1	1	yes	characteristic
180	C₄×D₁₁	#95	1	1	yes	characteristic
181	C₄×D₁₁	#95	1	1	yes	characteristic
182	C₄×D₁₁	#95	1	1	yes	characteristic
183	C₄×D₁₁	#102	1	1	yes	characteristic
184	C₄×D₁₁	#102	1	1	yes	characteristic
185	C₄×D₁₁	#102	1	1	yes	characteristic
186	C₄×D₁₁	#102	1	1	yes	characteristic
187	C₄×D₁₁	#102	1	1	yes	characteristic
188	C₄×D₁₁	#102	1	1	yes	characteristic
189	C₄×D₁₁	#102	1	1	yes	characteristic
190	C₄×D₁₁	#102	1	1	yes	characteristic
191	C₄×D₁₁	#106	1	1	yes	characteristic
192	C₄×D₁₁	#106	1	1	yes	characteristic
193	C₄×D₁₁	#106	1	1	yes	characteristic
194	C₄×D₁₁	#106	1	1	yes	characteristic
195	C₈×C₁₁	—	4	2	no	—
196	C₈×C₁₁	—	4	2	no	—
197	C₈×C₁₁	C₂×C₄²	1	1	yes	characteristic
198	C₈×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
199	C₈×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
200	C₈×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
201	C₁₁⋊C₈	—	4	2	no	—
202	C₁₁⋊C₈	—	4	2	no	—
203	C₁₁⋊C₈	#95	1	1	yes	characteristic
204	C₁₁⋊C₈	#95	1	1	yes	characteristic
205	C₁₁⋊C₈	#95	1	1	yes	characteristic
206	C₁₁⋊C₈	#95	1	1	yes	characteristic
207	C₂²×M₁₆	—	22	1	no	—
208	C₂²×M₁₆	—	22	1	no	—
209	C₂³×C₈	—	11	1	no	—
210	C₂×M₃₂	—	11	1	no	—
211	C₂×M₃₂	—	11	2	no	—
212	C₂×M₃₂	—	11	2	no	—
213	C₂×M₃₂	—	22	1	no	—
214	C₂×M₃₂	—	22	1	no	—
215	C₂×M₃₂	—	22	1	no	—
216	C₂×M₃₂	C₂×D₁₁	1	1	yes	characteristic
217	C₂²×C₁₆	—	22	1	no	—
218	C₂×#108	—	11	1	no	—
219	C₂×#108	—	11	1	no	—
220	C₂×#108	—	11	2	no	—
221	C₂×#108	—	11	2	no	—
222	C₂×#108	—	11	2	no	—
223	C₂×#108	—	11	2	no	—
224	C₂×#108	—	22	1	no	—
225	C₂×#108	—	22	1	no	—
226	C₂×#108	—	22	1	no	—
227	C₂×#108	—	22	1	no	—
228	C₂×#108	—	22	1	no	—
229	C₂×#108	—	22	1	no	—
230	C₂×#108	C₂×D₁₁	1	1	yes	characteristic
231	C₂×#108	C₂×D₁₁	1	1	yes	characteristic
232	C₂²×C₁₁	—	4	1	no	—
233	C₂²×C₁₁	C₂×#103	1	1	yes	characteristic
234	C₂²×C₁₁	C₂×#103	1	1	yes	characteristic
235	C₂²×C₁₁	C₂×#107	1	1	yes	characteristic
236	C₂×D₁₁	—	2	2	no	—
237	C₂×D₁₁	—	2	2	no	—
238	C₂×D₁₁	—	2	2	no	—
239	C₂×D₁₁	—	4	1	no	—
240	C₂×D₁₁	—	4	1	no	—
241	C₂×D₁₁	—	4	1	no	—
242	C₂×D₁₁	#340	1	1	yes	characteristic
243	C₂×D₁₁	#340	1	1	yes	characteristic
244	C₂×D₁₁	#340	1	1	yes	characteristic
245	C₂×D₁₁	#340	1	1	yes	characteristic
246	C₄×C₁₁	C₂×#95	1	1	yes	characteristic
247	C₄×C₁₁	C₂×#102	1	1	yes	characteristic
248	C₄×C₁₁	C₂×#102	1	1	yes	characteristic
249	C₄×C₁₁	C₂×#106	1	1	yes	characteristic
250	Dic₁₁	#340	1	1	yes	characteristic
251	Dic₁₁	#340	1	1	yes	characteristic
252	Dic₁₁	#340	1	1	yes	characteristic
253	Dic₁₁	#340	1	1	yes	characteristic
254	C₂³×C₄	—	11	1	no	—
255	C₂×M₁₆	—	2	1	no	—
256	C₂×M₁₆	—	2	1	no	—
257	C₂×M₁₆	—	22	2	no	—
258	C₂×M₁₆	—	22	2	no	—
259	C₂×M₁₆	—	22	2	no	—
260	C₂×M₁₆	—	22	2	no	—
261	C₂×M₁₆	—	22	1	no	—
262	C₂×M₁₆	—	22	1	no	—
263	C₂×M₁₆	—	44	1	no	—
264	C₂×M₁₆	—	44	1	no	—
265	C₂×M₁₆	—	44	1	no	—
266	C₂×M₁₆	—	44	1	no	—
267	C₂×M₁₆	—	44	1	no	—
268	C₂×M₁₆	—	44	1	no	—
269	C₂²×C₈	—	11	1	no	—
270	C₂²×C₈	—	11	1	no	—
271	C₂²×C₈	—	11	1	no	—
272	C₂²×C₈	—	11	1	no	—
273	C₂²×C₈	—	11	1	no	—
274	C₂²×C₈	—	11	1	no	—
275	C₂²×C₈	—	11	1	no	—
276	C₂²×C₈	—	11	1	no	—
277	C₂²×C₈	—	11	1	no	—
278	C₂²×C₈	—	11	1	no	—
279	C₂²×C₈	—	11	1	no	—
280	C₂²×C₈	—	11	1	no	—
281	C₂²×C₈	—	11	1	no	—
282	C₂²×C₈	—	44	1	no	—
283	C₂²×C₈	—	44	1	no	—
284	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
285	M₃₂	—	2	1	no	—
286	M₃₂	—	11	2	no	—
287	M₃₂	—	22	2	no	—
288	M₃₂	—	22	2	no	—
289	M₃₂	—	22	1	no	—
290	M₃₂	C₄×D₁₁	1	2	yes	—
291	C₂×C₁₆	—	2	1	no	—
292	C₂×C₁₆	—	22	2	no	—
293	C₂×C₁₆	—	22	2	no	—
294	C₂×C₁₆	—	22	1	no	—
295	#108	—	2	1	no	—
296	#108	—	2	1	no	—
297	#108	—	11	2	no	—
298	#108	—	11	2	no	—
299	#108	—	22	2	no	—
300	#108	—	22	2	no	—
301	#108	—	22	2	no	—
302	#108	—	22	2	no	—
303	#108	—	22	1	no	—
304	#108	—	22	1	no	—
305	#108	C₄×D₁₁	1	2	yes	—
306	#108	C₄×D₁₁	1	2	yes	—
307	C₂×C₁₁	—	2	1	no	—
308	C₂×C₁₁	—	2	1	no	—
309	C₂×C₁₁	—	2	1	no	—
310	C₂×C₁₁	C₂×#340	1	1	yes	characteristic
311	D₁₁	—	2	1	no	—
312	D₁₁	—	2	1	no	—
313	D₁₁	—	2	1	no	—
314	D₁₁	#1388	1	2	yes	direct product factor
315	C₂⁴	—	11	1	no	—
316	C₂²×C₄	—	11	1	no	—
317	C₂²×C₄	—	11	1	no	—
318	C₂²×C₄	—	11	1	no	—
319	C₂²×C₄	—	11	1	no	—
320	C₂²×C₄	—	11	1	no	—
321	C₂²×C₄	—	11	1	no	—
322	C₂²×C₄	—	11	1	no	—
323	C₂²×C₄	—	11	1	no	—
324	C₂²×C₄	—	11	1	no	—
325	C₂²×C₄	—	11	1	no	—
326	C₂²×C₄	—	11	1	no	—
327	C₂²×C₄	—	11	1	no	—
328	C₂²×C₄	—	11	1	no	—
329	C₂²×C₄	D₄×D₁₁	1	1	yes	characteristic
330	M₁₆	—	2	2	no	—
331	M₁₆	—	2	2	no	—
332	M₁₆	—	4	1	no	—
333	M₁₆	—	4	1	no	—
334	M₁₆	—	22	2	no	—
335	M₁₆	—	22	2	no	—
336	M₁₆	—	44	2	no	—
337	M₁₆	—	44	2	no	—
338	M₁₆	—	44	2	no	—
339	M₁₆	—	44	2	no	—
340	M₁₆	—	44	1	no	—
341	M₁₆	—	44	1	no	—
342	C₂×C₈	—	4	1	no	—
343	C₂×C₈	—	4	1	no	—
344	C₂×C₈	—	11	1	no	—
345	C₂×C₈	—	11	1	no	—
346	C₂×C₈	—	11	1	no	—
347	C₂×C₈	—	11	1	no	—
348	C₂×C₈	—	11	1	no	—
349	C₂×C₈	—	11	1	no	—
350	C₂×C₈	—	11	1	no	—
351	C₂×C₈	—	11	1	no	—
352	C₂×C₈	—	11	1	no	—
353	C₂×C₈	—	11	1	no	—
354	C₂×C₈	—	11	1	no	—
355	C₂×C₈	—	11	1	no	—
356	C₂×C₈	—	11	1	no	—
357	C₂×C₈	—	11	1	no	—
358	C₂×C₈	—	11	1	no	—
359	C₂×C₈	—	11	1	no	—
360	C₂×C₈	—	11	1	no	—
361	C₂×C₈	—	11	1	no	—
362	C₂×C₈	—	11	1	no	—
363	C₂×C₈	—	11	1	no	—
364	C₂×C₈	—	11	1	no	—
365	C₂×C₈	—	11	1	no	—
366	C₂×C₈	—	44	2	no	—
367	C₂×C₈	—	44	2	no	—
368	C₂×C₈	—	44	2	no	—
369	C₂×C₈	—	44	2	no	—
370	C₂×C₈	—	44	1	no	—
371	C₂×C₈	—	44	1	no	—
372	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
373	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
374	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
375	C₂×C₈	D₄×D₁₁	1	1	yes	characteristic
376	C₂×C₈	D₄×D₁₁	1	1	yes	characteristic
377	C₂×C₈	Q₈×D₁₁	1	1	yes	characteristic
378	C₁₆	—	2	2	no	—
379	C₁₆	—	22	2	no	—
380	C₁₁	C₂×#1388	1	1	yes	characteristic, complemented, Sylow
381	C₂³	—	11	1	no	—
382	C₂³	—	11	1	no	—
383	C₂³	—	11	1	no	—
384	C₂³	—	11	1	no	—
385	C₂³	—	11	1	no	—
386	C₂³	—	11	1	no	—
387	C₂³	—	44	2	no	—
388	C₂³	Q₁₆×D₁₁	1	1	yes	characteristic
389	C₂×C₄	—	11	1	no	—
390	C₂×C₄	—	11	1	no	—
391	C₂×C₄	—	11	1	no	—
392	C₂×C₄	—	11	1	no	—
393	C₂×C₄	—	11	1	no	—
394	C₂×C₄	—	11	1	no	—
395	C₂×C₄	—	11	1	no	—
396	C₂×C₄	—	11	1	no	—
397	C₂×C₄	—	11	1	no	—
398	C₂×C₄	—	11	1	no	—
399	C₂×C₄	—	11	1	no	—
400	C₂×C₄	—	11	1	no	—
401	C₂×C₄	—	11	1	no	—
402	C₂×C₄	—	11	1	no	—
403	C₂×C₄	—	11	1	no	—
404	C₂×C₄	—	11	1	no	—
405	C₂×C₄	—	11	1	no	—
406	C₂×C₄	—	11	1	no	—
407	C₂×C₄	—	11	1	no	—
408	C₂×C₄	—	11	1	no	—
409	C₂×C₄	—	11	1	no	—
410	C₂×C₄	—	11	1	no	—
411	C₂×C₄	C₂²⋊C₄×D₁₁	1	1	yes	characteristic
412	C₂×C₄	C₂²⋊C₄×D₁₁	1	1	yes	characteristic
413	C₂×C₄	C₄⋊C₄×D₁₁	1	1	yes	characteristic
414	C₂×C₄	D₈×D₁₁	1	1	yes	characteristic
415	C₂×C₄	SD₁₆×D₁₁	1	1	yes	characteristic
416	C₂×C₄	SD₁₆×D₁₁	1	1	yes	characteristic
417	C₈	—	4	2	no	—
418	C₈	—	4	2	no	—
419	C₈	—	11	1	no	—
420	C₈	—	11	1	no	—
421	C₈	—	11	1	no	—
422	C₈	—	11	1	no	—
423	C₈	—	44	2	no	—
424	C₈	—	44	2	no	—
425	C₈	C₄²×D₁₁	1	1	yes	characteristic
426	C₈	C₂²⋊C₄×D₁₁	1	1	yes	characteristic
427	C₈	C₄⋊C₄×D₁₁	1	1	yes	characteristic
428	C₈	C₄⋊C₄×D₁₁	1	1	yes	characteristic
429	C₂²	—	4	1	no	—
430	C₂²	—	11	1	no	—
431	C₂²	—	11	1	no	—
432	C₂²	—	11	1	no	—
433	C₂²	—	11	1	no	—
434	C₂²	—	22	2	no	—
435	C₂²	—	22	2	no	—
436	C₂²	—	22	2	no	—
437	C₂²	—	44	1	no	—
438	C₂²	—	44	1	no	—
439	C₂²	—	44	1	no	—
440	C₂²	D₁₁×#103	1	1	yes	characteristic
441	C₂²	D₁₁×#103	1	1	yes	characteristic
442	C₂²	D₁₁×#107	1	1	yes	characteristic
443	C₄	—	11	1	no	—
444	C₄	—	11	1	no	—
445	C₄	—	11	1	no	—
446	C₄	—	11	1	no	—
447	C₄	D₁₁×#95	1	1	yes	characteristic
448	C₄	D₁₁×#102	1	1	yes	characteristic
449	C₄	D₁₁×#102	1	1	yes	characteristic
450	C₄	D₁₁×#106	1	1	yes	characteristic
451	C₂	—	2	1	no	—
452	C₂	—	2	1	no	—
453	C₂	—	2	1	no	—
454	C₂	—	11	2	no	—
455	C₂	—	22	1	no	—
456	C₂	—	22	1	no	—
457	C₂	—	22	1	no	—
458	C₂	D₁₁×#340	1	1	yes	characteristic

	subgroup	G/H
center	C₄	D₁₁×#102
commutator	C₈×C₁₁	C₂×C₄²
Frattini	C₂²×C₈	C₂²×D₁₁
Fitting	C₁₁×#1388	C₂
socle	C₂×C₁₁	C₂×#340
prime radical	C₂³×D₁₁	Q₁₆
cosocle	C₂²×C₈×C₁₁	C₂³
hypercenter	#1388	D₁₁
hypocenter	C₁₁	C₂×#1388
LCS	G ▷ C₈×C₁₁ ▷ C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ #1388

Complements

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

N	H ≅ G/N	type
4. #13066729	C₂	semidirect
5. #13066728	C₂	semidirect
6. #13066727	C₂	semidirect
7. C₁₁×#1388	C₂	semidirect
158. #1388	D₁₁	direct (N × H)
314. D₁₁	#1388	direct (N × H)
380. C₁₁	C₂×#1388	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₁×M₃₂	2
C₂×D₁₁×#108	2
#13066729	2
#13066728	2
#13066727	2
C₁₁×#1388	2
C₂×#1388	11

Subgroups — D11×#1388 #14668702

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₁×#1388 #14668702