Subgroups — C₁₁×#21526 #14598719

Order 2816.

1182 conjugacy classes of subgroups.

The subgroup lattice has 486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#466	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₁×#442	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₁₁×#97	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄×C₁₁×#121	C₂	1	2	yes	maximal, complemented
5	C₁₁×#1972	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#1943	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#1936	C₂	1	2	yes	maximal, complemented
8	C₁₁×#1893	C₂	1	2	yes	maximal, complemented
9	C₁₁×#1807	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#1776	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#1762	C₂	1	2	yes	maximal, complemented
12	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
13	C₂³×C₈×C₁₁	C₂²	1	1	yes	characteristic
14	C₂³×C₈×C₁₁	C₂²	1	1	yes	characteristic
15	C₂×C₁₁×#121	C₂²	1	2	yes	—
16	C₂×C₄×D₄×C₁₁	—	2	2	no	—
17	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
18	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
19	C₁₁×#466	C₄	1	8	yes	complemented
20	C₁₁×#442	—	2	4	no	—
21	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic
22	C₂×C₁₁×#106	C₂²	1	1	yes	characteristic
23	C₂×C₁₁×#106	C₂²	1	1	yes	characteristic
24	C₂×C₁₁×#102	C₂²	1	2	yes	—
25	C₂×C₁₁×#102	C₂²	1	2	yes	—
26	C₂×C₁₁×#102	C₂²	1	2	yes	—
27	C₂×C₁₁×#97	—	2	4	no	—
28	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
29	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
31	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
32	C₁₁×#390	C₂²	1	2	yes	—
33	C₁₁×#389	C₂²	1	2	yes	—
34	C₁₁×#388	—	2	2	no	—
35	C₁₁×#386	—	2	2	no	—
36	C₁₁×#380	C₂²	1	2	yes	—
37	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
38	C₄×C₁₁×C₂²⋊C₄	—	2	2	no	—
39	C₁₁×#340	C₂²	1	2	yes	—
40	C₁₁×#340	C₂²	1	2	yes	—
41	C₁₁×#340	C₂²	1	2	yes	—
42	C₂²×D₄×C₁₁	—	2	2	no	—
43	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
44	C₂³×C₄×C₁₁	—	2	2	no	—
45	C₂³×C₄×C₁₁	D₄	1	2	yes	—
46	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
47	C₂×C₁₁×D₈	—	2	2	no	—
48	C₂×C₁₁×D₈	—	2	2	no	—
49	C₂×C₁₁×D₈	C₂×C₄	1	4	yes	complemented
50	C₂²×C₈×C₁₁	—	2	2	no	—
51	C₂²×C₈×C₁₁	—	2	2	no	—
52	C₂²×C₈×C₁₁	—	2	2	no	—
53	C₂²×C₈×C₁₁	—	2	2	no	—
54	C₂²×C₈×C₁₁	—	2	2	no	—
55	C₂²×C₈×C₁₁	C₂×C₄	1	4	yes	complemented
56	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
57	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
58	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
59	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
60	C₁₁×#121	—	2	4	no	—
61	C₁₁×#121	C₂×C₄	1	8	yes	complemented
62	C₄×D₄×C₁₁	—	2	4	no	—
63	C₄×D₄×C₁₁	—	2	4	no	—
64	C₄×D₄×C₁₁	—	4	8	no	—
65	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
66	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
67	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
68	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
69	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
70	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
71	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
72	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
73	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
74	C₂×C₄²×C₁₁	—	2	2	no	—
75	C₂×C₄²×C₁₁	—	2	2	no	—
76	C₂×C₄²×C₁₁	—	2	2	no	—
77	C₂×C₄²×C₁₁	D₄	1	2	yes	—
78	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
79	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
80	C₁₁×#107	C₂×C₄	1	4	yes	complemented
81	C₁₁×#106	—	2	2	no	—
82	C₁₁×#106	—	2	2	no	—
83	C₁₁×#102	—	2	4	no	—
84	C₁₁×#102	—	2	4	no	—
85	C₁₁×#102	C₂×C₄	1	8	yes	complemented
86	C₁₁×#97	—	2	2	no	—
87	C₁₁×#97	—	2	2	no	—
88	C₁₁×#97	—	2	2	no	—
89	C₁₁×#97	D₄	1	4	yes	complemented
90	C₁₁×#95	—	2	2	no	—
91	C₁₁×#95	—	2	2	no	—
92	C₁₁×#95	—	2	2	no	—
93	#21526	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
94	C₂⁴×C₁₁	—	2	2	no	—
95	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
96	C₂×D₄×C₁₁	—	2	8	no	—
97	C₂×D₄×C₁₁	—	2	2	no	—
98	C₂×D₄×C₁₁	—	2	2	no	—
99	C₂×D₄×C₁₁	—	2	2	no	—
100	C₂×D₄×C₁₁	—	2	2	no	—
101	C₂×D₄×C₁₁	—	2	2	no	—
102	C₂×D₄×C₁₁	—	4	4	no	—
103	C₂×D₄×C₁₁	—	4	4	no	—
104	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
105	C₂²×C₄×C₁₁	—	2	1	no	—
106	C₂²×C₄×C₁₁	—	2	1	no	—
107	C₂²×C₄×C₁₁	—	2	1	no	—
108	C₂²×C₄×C₁₁	—	2	1	no	—
109	C₂²×C₄×C₁₁	—	2	4	no	—
110	C₂²×C₄×C₁₁	—	2	2	no	—
111	C₂²×C₄×C₁₁	—	2	4	no	—
112	C₂²×C₄×C₁₁	—	2	2	no	—
113	C₂²×C₄×C₁₁	—	2	2	no	—
114	C₂²×C₄×C₁₁	—	4	2	no	—
115	C₂²×C₄×C₁₁	—	4	4	no	—
116	C₂²×C₄×C₁₁	—	4	4	no	—
117	C₂²×C₄×C₁₁	—	4	4	no	—
118	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
119	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
120	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
121	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
122	C₂²×C₄×C₁₁	#41	1	2	yes	—
123	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
124	C₁₁×D₈	—	2	8	no	—
125	C₂×C₈×C₁₁	—	2	8	no	—
126	C₂×C₈×C₁₁	—	2	8	no	—
127	C₂×C₈×C₁₁	—	2	1	no	—
128	C₂×C₈×C₁₁	—	2	1	no	—
129	C₂×C₈×C₁₁	—	2	1	no	—
130	C₂×C₈×C₁₁	—	2	1	no	—
131	C₂×C₈×C₁₁	—	2	1	no	—
132	C₂×C₈×C₁₁	—	2	1	no	—
133	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
134	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
135	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
136	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
137	C₂×C₈×C₁₁	#41	1	2	yes	—
138	C₂×C₈×C₁₁	#41	1	2	yes	—
139	C₁₁×C₄⋊C₄	—	2	2	no	—
140	C₁₁×C₄⋊C₄	—	2	2	no	—
141	C₁₁×C₄⋊C₄	—	2	2	no	—
142	C₁₁×C₄⋊C₄	—	2	2	no	—
143	C₁₁×C₄⋊C₄	—	2	2	no	—
144	C₁₁×C₄⋊C₄	—	4	4	no	—
145	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
146	C₁₁×C₂²⋊C₄	—	2	8	no	—
147	C₁₁×C₂²⋊C₄	—	4	4	no	—
148	C₁₁×C₂²⋊C₄	—	4	4	no	—
149	C₁₁×C₂²⋊C₄	—	4	4	no	—
150	C₁₁×C₂²⋊C₄	—	4	4	no	—
151	C₄²×C₁₁	—	2	4	no	—
152	C₄²×C₁₁	—	2	1	no	—
153	C₄²×C₁₁	—	2	1	no	—
154	C₄²×C₁₁	—	4	4	no	—
155	C₄²×C₁₁	C₂×D₄	1	2	yes	—
156	C₄²×C₁₁	#41	1	2	yes	—
157	C₂×#466	C₂×C₁₁	1	1	yes	characteristic
158	C₂×#442	C₂×C₁₁	1	1	yes	characteristic, complemented
159	C₂²×#97	C₂×C₁₁	1	1	yes	characteristic, complemented
160	C₄×#121	C₂×C₁₁	1	2	yes	complemented
161	#1972	C₂×C₁₁	1	1	yes	characteristic, complemented
162	#1943	C₂×C₁₁	1	1	yes	characteristic, complemented
163	#1936	C₂×C₁₁	1	2	yes	complemented
164	#1893	C₂×C₁₁	1	2	yes	complemented
165	#1807	C₂×C₁₁	1	1	yes	characteristic, complemented
166	#1776	C₂×C₁₁	1	1	yes	characteristic, complemented
167	#1762	C₂×C₁₁	1	2	yes	complemented
168	C₂³×C₁₁	—	2	1	no	—
169	C₂³×C₁₁	—	2	1	no	—
170	C₂³×C₁₁	—	2	2	no	—
171	C₂³×C₁₁	—	2	4	no	—
172	C₂³×C₁₁	—	4	2	no	—
173	C₂³×C₁₁	—	4	2	no	—
174	C₂³×C₁₁	—	4	2	no	—
175	C₂³×C₁₁	—	4	2	no	—
176	C₂³×C₁₁	—	4	2	no	—
177	C₂³×C₁₁	—	4	2	no	—
178	C₂³×C₁₁	C₄×D₄	1	2	yes	—
179	C₂³×C₁₁	AGL(1,ℤ/8)	1	4	yes	—
180	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
181	D₄×C₁₁	—	2	4	no	—
182	D₄×C₁₁	—	2	4	no	—
183	D₄×C₁₁	—	4	16	no	—
184	D₄×C₁₁	—	4	2	no	—
185	D₄×C₁₁	—	4	2	no	—
186	C₂×C₄×C₁₁	—	2	1	no	—
187	C₂×C₄×C₁₁	—	2	1	no	—
188	C₂×C₄×C₁₁	—	2	2	no	—
189	C₂×C₄×C₁₁	—	2	2	no	—
190	C₂×C₄×C₁₁	—	2	2	no	—
191	C₂×C₄×C₁₁	—	2	2	no	—
192	C₂×C₄×C₁₁	—	2	2	no	—
193	C₂×C₄×C₁₁	—	2	2	no	—
194	C₂×C₄×C₁₁	—	2	4	no	—
195	C₂×C₄×C₁₁	—	2	2	no	—
196	C₂×C₄×C₁₁	—	2	2	no	—
197	C₂×C₄×C₁₁	—	2	2	no	—
198	C₂×C₄×C₁₁	—	4	8	no	—
199	C₂×C₄×C₁₁	—	4	2	no	—
200	C₂×C₄×C₁₁	—	4	2	no	—
201	C₂×C₄×C₁₁	—	4	2	no	—
202	C₂×C₄×C₁₁	—	4	2	no	—
203	C₂×C₄×C₁₁	—	4	2	no	—
204	C₂×C₄×C₁₁	—	4	2	no	—
205	C₂×C₄×C₁₁	—	4	2	no	—
206	C₂×C₄×C₁₁	—	4	2	no	—
207	C₂×C₄×C₁₁	—	8	8	no	—
208	C₂×C₄×C₁₁	C₄×D₄	1	2	yes	—
209	C₂×C₄×C₁₁	#121	1	4	yes	—
210	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
211	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
212	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
213	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
214	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
215	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
216	C₈×C₁₁	—	2	2	no	—
217	C₈×C₁₁	—	2	2	no	—
218	C₈×C₁₁	—	2	2	no	—
219	C₈×C₁₁	C₄×D₄	1	4	yes	complemented
220	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic
221	C₂³×C₈	C₂²×C₁₁	1	1	yes	characteristic
222	C₂³×C₈	C₂²×C₁₁	1	1	yes	characteristic
223	C₂×#121	C₂²×C₁₁	1	2	yes	—
224	C₂×C₄×D₄	—	2	2	no	—
225	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
226	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
227	#466	C₄×C₁₁	1	8	yes	complemented
228	#442	—	2	4	no	—
229	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic
230	C₂×#106	C₂²×C₁₁	1	1	yes	characteristic
231	C₂×#106	C₂²×C₁₁	1	1	yes	characteristic
232	C₂×#102	C₂²×C₁₁	1	2	yes	—
233	C₂×#102	C₂²×C₁₁	1	2	yes	—
234	C₂×#102	C₂²×C₁₁	1	2	yes	—
235	C₂×#97	—	2	4	no	—
236	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
237	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
238	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
239	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
240	#390	C₂²×C₁₁	1	2	yes	—
241	#389	C₂²×C₁₁	1	2	yes	—
242	#388	—	2	2	no	—
243	#386	—	2	2	no	—
244	#380	C₂²×C₁₁	1	2	yes	—
245	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
246	C₄×C₂²⋊C₄	—	2	2	no	—
247	#340	C₂²×C₁₁	1	2	yes	—
248	#340	C₂²×C₁₁	1	2	yes	—
249	#340	C₂²×C₁₁	1	2	yes	—
250	C₂²×C₁₁	—	2	4	no	—
251	C₂²×C₁₁	—	2	2	no	—
252	C₂²×C₁₁	—	2	4	no	—
253	C₂²×C₁₁	—	2	2	no	—
254	C₂²×C₁₁	—	4	4	no	—
255	C₂²×C₁₁	—	4	4	no	—
256	C₂²×C₁₁	—	4	4	no	—
257	C₂²×C₁₁	—	8	2	no	—
258	C₂²×C₁₁	—	8	2	no	—
259	C₂²×C₁₁	—	8	2	no	—
260	C₂²×C₁₁	—	8	2	no	—
261	C₂²×C₁₁	#442	1	4	yes	complemented
262	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
263	C₂²×C₁₁	C₂×#121	1	1	yes	characteristic
264	C₂²×C₁₁	#532	1	1	yes	characteristic
265	C₂²×C₁₁	C₂×AGL(1,ℤ/8)	1	2	yes	—
266	C₂²×C₁₁	#575	1	2	yes	—
267	C₄×C₁₁	—	2	4	no	—
268	C₄×C₁₁	—	2	2	no	—
269	C₄×C₁₁	—	4	4	no	—
270	C₄×C₁₁	—	4	2	no	—
271	C₄×C₁₁	—	8	2	no	—
272	C₄×C₁₁	—	8	2	no	—
273	C₄×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
274	C₄×C₁₁	C₄×#41	1	1	yes	characteristic
275	C₄×C₁₁	#525	1	1	yes	characteristic
276	C₄×C₁₁	#529	1	1	yes	characteristic
277	C₂²×D₄	—	2	2	no	—
278	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
279	C₂³×C₄	—	2	2	no	—
280	C₂³×C₄	D₄×C₁₁	1	2	yes	—
281	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
282	C₂×D₈	—	2	2	no	—
283	C₂×D₈	—	2	2	no	—
284	C₂×D₈	C₂×C₄×C₁₁	1	4	yes	complemented
285	C₂²×C₈	—	2	2	no	—
286	C₂²×C₈	—	2	2	no	—
287	C₂²×C₈	—	2	2	no	—
288	C₂²×C₈	—	2	2	no	—
289	C₂²×C₈	—	2	2	no	—
290	C₂²×C₈	C₂×C₄×C₁₁	1	4	yes	complemented
291	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
292	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
293	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
294	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
295	#121	—	2	4	no	—
296	#121	C₂×C₄×C₁₁	1	8	yes	complemented
297	C₄×D₄	—	2	4	no	—
298	C₄×D₄	—	2	4	no	—
299	C₄×D₄	—	4	8	no	—
300	C₂×C₄⋊C₄	—	2	2	no	—
301	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
302	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
303	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
304	C₂×C₂²⋊C₄	—	2	2	no	—
305	C₂×C₂²⋊C₄	—	2	2	no	—
306	C₂×C₂²⋊C₄	—	2	2	no	—
307	C₂×C₂²⋊C₄	—	2	2	no	—
308	C₂×C₂²⋊C₄	—	2	2	no	—
309	C₂×C₄²	—	2	2	no	—
310	C₂×C₄²	—	2	2	no	—
311	C₂×C₄²	—	2	2	no	—
312	C₂×C₄²	D₄×C₁₁	1	2	yes	—
313	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
314	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
315	#107	C₂×C₄×C₁₁	1	4	yes	complemented
316	#106	—	2	2	no	—
317	#106	—	2	2	no	—
318	#102	—	2	4	no	—
319	#102	—	2	4	no	—
320	#102	C₂×C₄×C₁₁	1	8	yes	complemented
321	#97	—	2	2	no	—
322	#97	—	2	2	no	—
323	#97	—	2	2	no	—
324	#97	D₄×C₁₁	1	4	yes	complemented
325	#95	—	2	2	no	—
326	#95	—	2	2	no	—
327	#95	—	2	2	no	—
328	C₂×C₁₁	—	2	4	no	—
329	C₂×C₁₁	—	8	4	no	—
330	C₂×C₁₁	C₄×#121	1	1	yes	characteristic
331	C₂×C₁₁	C₂×#442	1	1	yes	characteristic
332	C₂×C₁₁	#2943	1	1	yes	characteristic
333	C₂×C₁₁	#3055	1	2	yes	—
334	C₂×C₁₁	#3180	1	2	yes	—
335	C₂⁴	—	2	2	no	—
336	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
337	C₂×D₄	—	2	8	no	—
338	C₂×D₄	—	2	2	no	—
339	C₂×D₄	—	2	2	no	—
340	C₂×D₄	—	2	2	no	—
341	C₂×D₄	—	2	2	no	—
342	C₂×D₄	—	2	2	no	—
343	C₂×D₄	—	4	4	no	—
344	C₂×D₄	—	4	4	no	—
345	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
346	C₂²×C₄	—	2	1	no	—
347	C₂²×C₄	—	2	1	no	—
348	C₂²×C₄	—	2	1	no	—
349	C₂²×C₄	—	2	1	no	—
350	C₂²×C₄	—	2	4	no	—
351	C₂²×C₄	—	2	2	no	—
352	C₂²×C₄	—	2	4	no	—
353	C₂²×C₄	—	2	2	no	—
354	C₂²×C₄	—	2	2	no	—
355	C₂²×C₄	—	4	2	no	—
356	C₂²×C₄	—	4	4	no	—
357	C₂²×C₄	—	4	4	no	—
358	C₂²×C₄	—	4	4	no	—
359	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
360	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
361	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
362	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
363	C₂²×C₄	C₁₁×#41	1	2	yes	—
364	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
365	D₈	—	2	8	no	—
366	C₂×C₈	—	2	8	no	—
367	C₂×C₈	—	2	1	no	—
368	C₂×C₈	—	2	1	no	—
369	C₂×C₈	—	2	1	no	—
370	C₂×C₈	—	2	1	no	—
371	C₂×C₈	—	2	1	no	—
372	C₂×C₈	—	2	1	no	—
373	C₂×C₈	—	2	8	no	—
374	C₂×C₈	C₂²×C₄×C₁₁	1	2	yes	—
375	C₂×C₈	C₂²×C₄×C₁₁	1	2	yes	—
376	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
377	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
378	C₂×C₈	C₁₁×#41	1	2	yes	—
379	C₂×C₈	C₁₁×#41	1	2	yes	—
380	C₄⋊C₄	—	2	2	no	—
381	C₄⋊C₄	—	2	2	no	—
382	C₄⋊C₄	—	2	2	no	—
383	C₄⋊C₄	—	2	2	no	—
384	C₄⋊C₄	—	2	2	no	—
385	C₄⋊C₄	—	4	4	no	—
386	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
387	C₂²⋊C₄	—	2	8	no	—
388	C₂²⋊C₄	—	4	4	no	—
389	C₂²⋊C₄	—	4	4	no	—
390	C₂²⋊C₄	—	4	4	no	—
391	C₂²⋊C₄	—	4	4	no	—
392	C₄²	—	2	4	no	—
393	C₄²	—	2	1	no	—
394	C₄²	—	2	1	no	—
395	C₄²	—	4	4	no	—
396	C₄²	C₂×D₄×C₁₁	1	2	yes	—
397	C₄²	C₁₁×#41	1	2	yes	—
398	C₁₁	#21526	1	1	yes	characteristic, direct product factor, Sylow
399	C₂³	—	2	1	no	—
400	C₂³	—	2	1	no	—
401	C₂³	—	2	2	no	—
402	C₂³	—	2	4	no	—
403	C₂³	—	4	2	no	—
404	C₂³	—	4	2	no	—
405	C₂³	—	4	2	no	—
406	C₂³	—	4	2	no	—
407	C₂³	—	4	2	no	—
408	C₂³	—	4	2	no	—
409	C₂³	C₄×D₄×C₁₁	1	2	yes	—
410	C₂³	C₁₁×AGL(1,ℤ/8)	1	4	yes	—
411	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
412	D₄	—	2	4	no	—
413	D₄	—	2	4	no	—
414	D₄	—	4	16	no	—
415	D₄	—	4	2	no	—
416	D₄	—	4	2	no	—
417	C₂×C₄	—	2	1	no	—
418	C₂×C₄	—	2	1	no	—
419	C₂×C₄	—	2	2	no	—
420	C₂×C₄	—	2	2	no	—
421	C₂×C₄	—	2	2	no	—
422	C₂×C₄	—	2	2	no	—
423	C₂×C₄	—	2	2	no	—
424	C₂×C₄	—	2	2	no	—
425	C₂×C₄	—	2	4	no	—
426	C₂×C₄	—	2	2	no	—
427	C₂×C₄	—	2	2	no	—
428	C₂×C₄	—	2	2	no	—
429	C₂×C₄	—	4	8	no	—
430	C₂×C₄	—	4	2	no	—
431	C₂×C₄	—	4	2	no	—
432	C₂×C₄	—	4	2	no	—
433	C₂×C₄	—	4	2	no	—
434	C₂×C₄	—	4	2	no	—
435	C₂×C₄	—	4	2	no	—
436	C₂×C₄	—	4	2	no	—
437	C₂×C₄	—	4	2	no	—
438	C₂×C₄	—	8	8	no	—
439	C₂×C₄	C₄×D₄×C₁₁	1	2	yes	—
440	C₂×C₄	C₁₁×#121	1	4	yes	—
441	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
442	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
443	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
444	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
445	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
446	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
447	C₈	—	2	2	no	—
448	C₈	—	2	2	no	—
449	C₈	—	2	2	no	—
450	C₈	C₄×D₄×C₁₁	1	4	yes	complemented
451	C₂²	—	2	4	no	—
452	C₂²	—	2	2	no	—
453	C₂²	—	2	4	no	—
454	C₂²	—	2	2	no	—
455	C₂²	—	4	4	no	—
456	C₂²	—	4	4	no	—
457	C₂²	—	4	4	no	—
458	C₂²	—	8	2	no	—
459	C₂²	—	8	2	no	—
460	C₂²	—	8	2	no	—
461	C₂²	—	8	2	no	—
462	C₂²	C₁₁×#442	1	4	yes	complemented
463	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
464	C₂²	C₂×C₁₁×#121	1	1	yes	characteristic
465	C₂²	C₁₁×#532	1	1	yes	characteristic
466	C₂²	C₂×C₁₁×AGL(1,ℤ/8)	1	2	yes	—
467	C₂²	C₁₁×#575	1	2	yes	—
468	C₄	—	2	4	no	—
469	C₄	—	2	2	no	—
470	C₄	—	4	4	no	—
471	C₄	—	4	2	no	—
472	C₄	—	8	2	no	—
473	C₄	—	8	2	no	—
474	C₄	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
475	C₄	C₄×C₁₁×#41	1	1	yes	characteristic
476	C₄	C₁₁×#525	1	1	yes	characteristic
477	C₄	C₁₁×#529	1	1	yes	characteristic
478	C₂	—	2	4	no	—
479	C₂	—	8	4	no	—
480	C₂	C₄×C₁₁×#121	1	1	yes	characteristic
481	C₂	C₂×C₁₁×#442	1	1	yes	characteristic
482	C₂	C₁₁×#2943	1	1	yes	characteristic
483	C₂	C₁₁×#3055	1	2	yes	—
484	C₂	C₁₁×#3180	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₁
prime radical	C₂×C₁₁×#466	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ C₂²×C₄²×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₁×#442	C₂	semidirect
3. C₂²×C₁₁×#97	C₂	semidirect
4. C₄×C₁₁×#121	C₂	semidirect
5. C₁₁×#1972	C₂	semidirect
6. C₁₁×#1943	C₂	semidirect
7. C₁₁×#1936	C₂	semidirect
8. C₁₁×#1893	C₂	semidirect
9. C₁₁×#1807	C₂	semidirect
10. C₁₁×#1776	C₂	semidirect
11. C₁₁×#1762	C₂	semidirect
19. C₁₁×#466	C₄	semidirect
49. C₂×C₁₁×D₈	C₂×C₄	semidirect
55. C₂²×C₈×C₁₁	C₂×C₄	semidirect
61. C₁₁×#121	C₂×C₄	semidirect
80. C₁₁×#107	C₂×C₄	semidirect
85. C₁₁×#102	C₂×C₄	semidirect
89. C₁₁×#97	D₄	semidirect
93. #21526	C₁₁	direct (N × H)
158. C₂×#442	C₂×C₁₁	semidirect
159. C₂²×#97	C₂×C₁₁	semidirect
160. C₄×#121	C₂×C₁₁	semidirect
161. #1972	C₂×C₁₁	semidirect
162. #1943	C₂×C₁₁	semidirect
163. #1936	C₂×C₁₁	semidirect
164. #1893	C₂×C₁₁	semidirect
165. #1807	C₂×C₁₁	semidirect
166. #1776	C₂×C₁₁	semidirect
167. #1762	C₂×C₁₁	semidirect
219. C₈×C₁₁	C₄×D₄	semidirect
227. #466	C₄×C₁₁	semidirect
261. C₂²×C₁₁	#442	semidirect
284. C₂×D₈	C₂×C₄×C₁₁	semidirect
290. C₂²×C₈	C₂×C₄×C₁₁	semidirect
296. #121	C₂×C₄×C₁₁	semidirect
315. #107	C₂×C₄×C₁₁	semidirect
320. #102	C₂×C₄×C₁₁	semidirect
324. #97	D₄×C₁₁	semidirect
398. C₁₁	#21526	direct (N × H)
450. C₈	C₄×D₄×C₁₁	semidirect
462. C₂²	C₁₁×#442	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#466	2
C₂×C₁₁×#442	2
C₂²×C₁₁×#97	2
C₄×C₁₁×#121	2
C₁₁×#1972	2
C₁₁×#1943	2
C₁₁×#1936	2
C₁₁×#1893	2
C₁₁×#1807	2
C₁₁×#1776	2
C₁₁×#1762	2
#21526	11

Subgroups — C11×#21526 #14598719

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#21526 #14598719