Subgroups — C₁₁×#17950 #14595143

Order 2816.

646 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3100	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2981	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#2975	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#1594	C₂	1	2	yes	maximal, complemented
5	C₁₁×#1589	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1586	C₂	1	2	yes	maximal, complemented
7	C₁₁×#1581	C₂	1	2	yes	maximal, complemented
8	C₁₁×#1572	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#1490	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#1484	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#1453	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#532	C₂²	1	1	yes	characteristic
13	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
14	C₁₁×#480	C₄	1	2	yes	—
15	C₁₁×#474	C₄	1	2	yes	—
16	C₁₁×#459	C₄	1	2	yes	—
17	C₁₁×#447	C₄	1	2	yes	—
18	C₄×C₁₁×D₈	C₂²	1	2	yes	—
19	C₄×C₁₁×D₈	C₂²	1	2	yes	—
20	C₁₁×#436	—	2	2	no	—
21	C₁₁×#436	C₂²	1	2	yes	—
22	C₁₁×#436	C₂²	1	2	yes	—
23	C₁₁×#436	C₂²	1	2	yes	complemented
24	C₁₁×#435	—	2	2	no	—
25	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
26	C₁₁×#432	C₂²	1	1	yes	characteristic
27	C₁₁×#431	C₂²	1	1	yes	characteristic
28	C₁₁×#431	C₂²	1	1	yes	characteristic
29	C₁₁×#431	C₂²	1	1	yes	characteristic
30	C₁₁×#408	—	2	2	no	—
31	C₁₁×#407	—	2	2	no	—
32	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
33	C₁₁×#335	C₂²	1	2	yes	complemented
34	C₁₁×#334	C₂²	1	2	yes	complemented
35	C₁₁×D₄⋊C₈	C₂²	1	2	yes	—
36	C₁₁×D₄⋊C₈	C₂²	1	2	yes	—
37	C₁₁×D₄⋊C₈	C₂²	1	2	yes	complemented
38	C₁₁×D₄⋊C₈	C₂²	1	2	yes	complemented
39	C₁₁×#322	C₂²	1	1	yes	characteristic, complemented
40	C₁₁×#322	C₂²	1	1	yes	characteristic, complemented
41	C₁₁×#322	C₂²	1	1	yes	characteristic, complemented
42	C₈²×C₁₁	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₁×#41	—	2	1	no	—
44	C₂²×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
45	C₂³×C₄×C₁₁	—	2	1	no	—
46	C₂×C₁₁×D₈	C₂×C₄	1	2	yes	—
47	C₂×C₁₁×D₈	C₂×C₄	1	2	yes	—
48	C₂×C₁₁×M₁₆	—	2	1	no	—
49	C₂×C₁₁×M₁₆	—	2	2	no	—
50	C₂×C₁₁×M₁₆	—	2	2	no	—
51	C₂×C₁₁×M₁₆	—	2	2	no	—
52	C₂²×C₈×C₁₁	—	2	2	no	—
53	C₁₁×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
54	C₁₁×#127	C₂×C₄	1	1	yes	characteristic
55	C₁₁×#124	—	2	1	no	—
56	C₁₁×#121	—	2	1	no	—
57	C₁₁×#121	C₂×C₄	1	2	yes	—
58	C₄×D₄×C₁₁	—	2	1	no	—
59	C₄×D₄×C₁₁	—	2	1	no	—
60	C₄×D₄×C₁₁	—	2	1	no	—
61	C₄×D₄×C₁₁	C₂×C₄	1	2	yes	—
62	C₄×D₄×C₁₁	C₂³	1	2	yes	—
63	C₄×D₄×C₁₁	C₂³	1	2	yes	—
64	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
65	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
66	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
67	C₁₁×#107	C₂×C₄	1	2	yes	—
68	C₁₁×#107	C₂×C₄	1	2	yes	—
69	C₁₁×C₄⋊C₈	C₂×C₄	1	2	yes	—
70	C₁₁×C₄⋊C₈	D₄	1	2	yes	—
71	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
72	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
73	C₁₁×#102	C₂×C₄	1	2	yes	—
74	C₁₁×#102	C₂×C₄	1	2	yes	—
75	C₁₁×#102	C₂×C₄	1	2	yes	—
76	C₁₁×#102	C₂×C₄	1	2	yes	—
77	C₁₁×C₂²⋊C₈	—	2	1	no	—
78	C₁₁×C₂²⋊C₈	—	2	1	no	—
79	C₁₁×C₂²⋊C₈	—	2	2	no	—
80	C₁₁×C₂²⋊C₈	—	2	2	no	—
81	C₁₁×C₂²⋊C₈	—	2	2	no	—
82	C₁₁×C₂²⋊C₈	—	2	2	no	—
83	C₁₁×C₂²⋊C₈	C₂×C₄	1	2	yes	—
84	C₁₁×C₂²⋊C₈	D₄	1	2	yes	—
85	C₁₁×#97	—	2	1	no	—
86	C₁₁×#97	—	2	1	no	—
87	C₄×C₈×C₁₁	—	2	1	no	—
88	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
89	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
90	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
91	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
92	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
93	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
94	#17950	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
95	C₂⁴×C₁₁	—	2	1	no	—
96	C₁₁×#41	—	8	2	no	—
97	C₂×Q₈×C₁₁	—	2	1	no	—
98	C₂×D₄×C₁₁	—	2	2	no	—
99	C₂×D₄×C₁₁	—	2	1	no	—
100	C₂×D₄×C₁₁	—	2	1	no	—
101	C₂×D₄×C₁₁	—	2	1	no	—
102	C₂×D₄×C₁₁	—	4	2	no	—
103	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
104	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
105	C₂²×C₄×C₁₁	—	2	1	no	—
106	C₂²×C₄×C₁₁	—	2	2	no	—
107	C₂²×C₄×C₁₁	—	2	2	no	—
108	C₂²×C₄×C₁₁	—	2	2	no	—
109	C₂²×C₄×C₁₁	—	8	2	no	—
110	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
111	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
112	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
113	C₁₁×D₈	—	4	2	no	—
114	C₁₁×D₈	—	4	2	no	—
115	C₁₁×M₁₆	—	4	2	no	—
116	C₁₁×M₁₆	—	8	2	no	—
117	C₁₁×M₁₆	—	8	2	no	—
118	C₁₁×M₁₆	—	8	2	no	—
119	C₂×C₈×C₁₁	—	2	2	no	—
120	C₂×C₈×C₁₁	—	2	2	no	—
121	C₂×C₈×C₁₁	—	2	1	no	—
122	C₂×C₈×C₁₁	—	2	1	no	—
123	C₂×C₈×C₁₁	—	8	2	no	—
124	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
125	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
126	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
127	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
128	C₁₁×C₄⋊C₄	—	2	1	no	—
129	C₁₁×C₄⋊C₄	—	2	1	no	—
130	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
131	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
132	C₁₁×C₂²⋊C₄	—	2	2	no	—
133	C₁₁×C₂²⋊C₄	—	2	2	no	—
134	C₁₁×C₂²⋊C₄	—	2	2	no	—
135	C₁₁×C₂²⋊C₄	—	2	2	no	—
136	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
137	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
138	C₄²×C₁₁	#41	1	1	yes	characteristic
139	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
140	#3100	C₂×C₁₁	1	1	yes	characteristic
141	#2981	C₂×C₁₁	1	1	yes	characteristic, complemented
142	#2975	C₂×C₁₁	1	1	yes	characteristic, complemented
143	#1594	C₂×C₁₁	1	2	yes	complemented
144	#1589	C₂×C₁₁	1	2	yes	complemented
145	#1586	C₂×C₁₁	1	2	yes	complemented
146	#1581	C₂×C₁₁	1	2	yes	complemented
147	#1572	C₂×C₁₁	1	1	yes	characteristic, complemented
148	#1490	C₂×C₁₁	1	1	yes	characteristic, complemented
149	#1484	C₂×C₁₁	1	1	yes	characteristic, complemented
150	#1453	C₂×C₁₁	1	1	yes	characteristic, complemented
151	C₂³×C₁₁	—	2	2	no	—
152	C₂³×C₁₁	—	2	2	no	—
153	C₂³×C₁₁	—	4	2	no	—
154	C₂³×C₁₁	—	8	1	no	—
155	C₂³×C₁₁	—	8	1	no	—
156	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
157	Q₈×C₁₁	—	8	1	no	—
158	D₄×C₁₁	—	2	2	no	—
159	D₄×C₁₁	—	2	2	no	—
160	D₄×C₁₁	—	2	2	no	—
161	D₄×C₁₁	—	2	2	no	—
162	D₄×C₁₁	—	4	2	no	—
163	D₄×C₁₁	—	8	1	no	—
164	D₄×C₁₁	—	8	1	no	—
165	D₄×C₁₁	—	8	2	no	—
166	C₂×C₄×C₁₁	—	2	2	no	—
167	C₂×C₄×C₁₁	—	2	2	no	—
168	C₂×C₄×C₁₁	—	2	2	no	—
169	C₂×C₄×C₁₁	—	2	2	no	—
170	C₂×C₄×C₁₁	—	4	1	no	—
171	C₂×C₄×C₁₁	—	4	2	no	—
172	C₂×C₄×C₁₁	—	4	2	no	—
173	C₂×C₄×C₁₁	—	4	2	no	—
174	C₂×C₄×C₁₁	—	4	2	no	—
175	C₂×C₄×C₁₁	—	8	2	no	—
176	C₂×C₄×C₁₁	—	8	1	no	—
177	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
178	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
179	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
180	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
181	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
182	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
183	C₈×C₁₁	—	2	2	no	—
184	C₈×C₁₁	—	2	2	no	—
185	C₈×C₁₁	—	2	2	no	—
186	C₈×C₁₁	—	2	2	no	—
187	C₈×C₁₁	—	2	2	no	—
188	C₈×C₁₁	—	4	1	no	—
189	C₈×C₁₁	—	4	2	no	—
190	C₈×C₁₁	—	4	2	no	—
191	#532	C₂²×C₁₁	1	1	yes	characteristic
192	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
193	#480	C₄×C₁₁	1	2	yes	—
194	#474	C₄×C₁₁	1	2	yes	—
195	#459	C₄×C₁₁	1	2	yes	—
196	#447	C₄×C₁₁	1	2	yes	—
197	C₄×D₈	C₂²×C₁₁	1	2	yes	—
198	C₄×D₈	C₂²×C₁₁	1	2	yes	—
199	#436	—	2	2	no	—
200	#436	C₂²×C₁₁	1	2	yes	—
201	#436	C₂²×C₁₁	1	2	yes	—
202	#436	C₂²×C₁₁	1	2	yes	complemented
203	#435	—	2	2	no	—
204	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
205	#432	C₂²×C₁₁	1	1	yes	characteristic
206	#431	C₂²×C₁₁	1	1	yes	characteristic
207	#431	C₂²×C₁₁	1	1	yes	characteristic
208	#431	C₂²×C₁₁	1	1	yes	characteristic
209	#408	—	2	2	no	—
210	#407	—	2	2	no	—
211	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
212	#335	C₂²×C₁₁	1	2	yes	complemented
213	#334	C₂²×C₁₁	1	2	yes	complemented
214	D₄⋊C₈	C₂²×C₁₁	1	2	yes	—
215	D₄⋊C₈	C₂²×C₁₁	1	2	yes	—
216	D₄⋊C₈	C₂²×C₁₁	1	2	yes	complemented
217	D₄⋊C₈	C₂²×C₁₁	1	2	yes	complemented
218	#322	C₂²×C₁₁	1	1	yes	characteristic, complemented
219	#322	C₂²×C₁₁	1	1	yes	characteristic, complemented
220	#322	C₂²×C₁₁	1	1	yes	characteristic, complemented
221	C₈²	C₂²×C₁₁	1	1	yes	characteristic, complemented
222	C₂²×C₁₁	—	2	1	no	—
223	C₂²×C₁₁	—	2	1	no	—
224	C₂²×C₁₁	—	2	1	no	—
225	C₂²×C₁₁	—	4	2	no	—
226	C₂²×C₁₁	—	4	2	no	—
227	C₂²×C₁₁	—	4	2	no	—
228	C₂²×C₁₁	—	4	2	no	—
229	C₂²×C₁₁	—	4	2	no	—
230	C₂²×C₁₁	—	4	2	no	—
231	C₂²×C₁₁	—	8	4	no	—
232	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
233	C₄×C₁₁	—	2	1	no	—
234	C₄×C₁₁	—	2	1	no	—
235	C₄×C₁₁	—	2	1	no	—
236	C₄×C₁₁	—	2	1	no	—
237	C₄×C₁₁	—	4	2	no	—
238	C₄×C₁₁	—	4	2	no	—
239	C₄×C₁₁	#568	1	2	yes	—
240	C₄×C₁₁	#576	1	2	yes	—
241	C₂×#41	—	2	1	no	—
242	C₂²×D₄	C₂×C₄×C₁₁	1	1	yes	characteristic
243	C₂³×C₄	—	2	1	no	—
244	C₂×D₈	C₂×C₄×C₁₁	1	2	yes	—
245	C₂×D₈	C₂×C₄×C₁₁	1	2	yes	—
246	C₂×M₁₆	—	2	1	no	—
247	C₂×M₁₆	—	2	2	no	—
248	C₂×M₁₆	—	2	2	no	—
249	C₂×M₁₆	—	2	2	no	—
250	C₂²×C₈	—	2	2	no	—
251	C₄⋊Q₈	C₂×C₄×C₁₁	1	1	yes	characteristic
252	#127	C₂×C₄×C₁₁	1	1	yes	characteristic
253	#124	—	2	1	no	—
254	#121	—	2	1	no	—
255	#121	C₂×C₄×C₁₁	1	2	yes	—
256	C₄×D₄	—	2	1	no	—
257	C₄×D₄	—	2	1	no	—
258	C₄×D₄	—	2	1	no	—
259	C₄×D₄	C₂×C₄×C₁₁	1	2	yes	—
260	C₄×D₄	C₂³×C₁₁	1	2	yes	—
261	C₄×D₄	C₂³×C₁₁	1	2	yes	—
262	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
263	C₂×C₂²⋊C₄	—	2	1	no	—
264	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
265	#107	C₂×C₄×C₁₁	1	2	yes	—
266	#107	C₂×C₄×C₁₁	1	2	yes	—
267	C₄⋊C₈	C₂×C₄×C₁₁	1	2	yes	—
268	C₄⋊C₈	D₄×C₁₁	1	2	yes	—
269	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
270	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
271	#102	C₂×C₄×C₁₁	1	2	yes	—
272	#102	C₂×C₄×C₁₁	1	2	yes	—
273	#102	C₂×C₄×C₁₁	1	2	yes	—
274	#102	C₂×C₄×C₁₁	1	2	yes	—
275	C₂²⋊C₈	—	2	1	no	—
276	C₂²⋊C₈	—	2	1	no	—
277	C₂²⋊C₈	—	2	2	no	—
278	C₂²⋊C₈	—	2	2	no	—
279	C₂²⋊C₈	—	2	2	no	—
280	C₂²⋊C₈	—	2	2	no	—
281	C₂²⋊C₈	C₂×C₄×C₁₁	1	2	yes	—
282	C₂²⋊C₈	D₄×C₁₁	1	2	yes	—
283	#97	—	2	1	no	—
284	#97	—	2	1	no	—
285	C₄×C₈	—	2	1	no	—
286	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
287	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
288	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
289	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
290	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
291	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
292	C₂×C₁₁	—	4	1	no	—
293	C₂×C₁₁	—	8	2	no	—
294	C₂×C₁₁	—	8	2	no	—
295	C₂×C₁₁	#2930	1	1	yes	characteristic
296	C₂×C₁₁	#2948	1	1	yes	characteristic
297	C₂×C₁₁	#2956	1	1	yes	characteristic
298	C₂⁴	—	2	1	no	—
299	#41	—	8	2	no	—
300	C₂×Q₈	—	2	1	no	—
301	C₂×D₄	—	2	2	no	—
302	C₂×D₄	—	2	1	no	—
303	C₂×D₄	—	2	1	no	—
304	C₂×D₄	—	2	1	no	—
305	C₂×D₄	—	4	2	no	—
306	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
307	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
308	C₂²×C₄	—	2	1	no	—
309	C₂²×C₄	—	2	2	no	—
310	C₂²×C₄	—	2	2	no	—
311	C₂²×C₄	—	2	2	no	—
312	C₂²×C₄	—	8	2	no	—
313	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
314	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
315	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
316	D₈	—	4	2	no	—
317	D₈	—	4	2	no	—
318	M₁₆	—	4	2	no	—
319	M₁₆	—	8	2	no	—
320	M₁₆	—	8	2	no	—
321	M₁₆	—	8	2	no	—
322	C₂×C₈	—	2	1	no	—
323	C₂×C₈	—	2	2	no	—
324	C₂×C₈	—	2	2	no	—
325	C₂×C₈	—	2	1	no	—
326	C₂×C₈	—	8	2	no	—
327	C₂×C₈	C₂²×C₄×C₁₁	1	2	yes	—
328	C₂×C₈	C₂²×C₄×C₁₁	1	2	yes	—
329	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
330	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
331	C₄⋊C₄	—	2	1	no	—
332	C₄⋊C₄	—	2	1	no	—
333	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
334	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
335	C₂²⋊C₄	—	2	2	no	—
336	C₂²⋊C₄	—	2	2	no	—
337	C₂²⋊C₄	—	2	2	no	—
338	C₂²⋊C₄	—	2	2	no	—
339	C₄²	C₂²×C₄×C₁₁	1	1	yes	characteristic
340	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
341	C₄²	C₁₁×#41	1	1	yes	characteristic
342	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
343	C₁₁	#17950	1	1	yes	characteristic, direct product factor, Sylow
344	C₂³	—	2	2	no	—
345	C₂³	—	2	2	no	—
346	C₂³	—	4	2	no	—
347	C₂³	—	8	1	no	—
348	C₂³	—	8	1	no	—
349	C₂³	C₄×D₄×C₁₁	1	1	yes	characteristic
350	Q₈	—	8	1	no	—
351	D₄	—	2	2	no	—
352	D₄	—	2	2	no	—
353	D₄	—	2	2	no	—
354	D₄	—	2	2	no	—
355	D₄	—	4	2	no	—
356	D₄	—	8	1	no	—
357	D₄	—	8	1	no	—
358	D₄	—	8	2	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	2	2	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	4	1	no	—
364	C₂×C₄	—	4	2	no	—
365	C₂×C₄	—	4	2	no	—
366	C₂×C₄	—	4	2	no	—
367	C₂×C₄	—	4	2	no	—
368	C₂×C₄	—	8	2	no	—
369	C₂×C₄	—	8	1	no	—
370	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
371	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
372	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
373	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
374	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
375	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
376	C₈	—	2	2	no	—
377	C₈	—	2	2	no	—
378	C₈	—	2	2	no	—
379	C₈	—	2	2	no	—
380	C₈	—	2	2	no	—
381	C₈	—	4	1	no	—
382	C₈	—	4	2	no	—
383	C₈	—	4	2	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	2	1	no	—
387	C₂²	—	4	2	no	—
388	C₂²	—	4	2	no	—
389	C₂²	—	4	2	no	—
390	C₂²	—	4	2	no	—
391	C₂²	—	4	2	no	—
392	C₂²	—	4	2	no	—
393	C₂²	—	8	4	no	—
394	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	4	2	no	—
400	C₄	—	4	2	no	—
401	C₄	C₁₁×#568	1	2	yes	—
402	C₄	C₁₁×#576	1	2	yes	—
403	C₂	—	4	1	no	—
404	C₂	—	8	2	no	—
405	C₂	—	8	2	no	—
406	C₂	C₁₁×#2930	1	1	yes	characteristic
407	C₂	C₁₁×#2948	1	1	yes	characteristic
408	C₂	C₁₁×#2956	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₁	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₁
Frattini, cosocle	C₄²	C₂⁴×C₁₁
socle	C₂²×C₁₁	C₂×C₄×D₄
prime radical	C₁₁×#3100	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₁ ◁ C₁₁×#431 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#2981	C₂	semidirect
3. C₁₁×#2975	C₂	semidirect
4. C₁₁×#1594	C₂	semidirect
5. C₁₁×#1589	C₂	semidirect
6. C₁₁×#1586	C₂	semidirect
7. C₁₁×#1581	C₂	semidirect
8. C₁₁×#1572	C₂	semidirect
9. C₁₁×#1490	C₂	semidirect
10. C₁₁×#1484	C₂	semidirect
11. C₁₁×#1453	C₂	semidirect
23. C₁₁×#436	C₂²	semidirect
25. C₈×D₄×C₁₁	C₂²	semidirect
33. C₁₁×#335	C₂²	semidirect
34. C₁₁×#334	C₂²	semidirect
37. C₁₁×D₄⋊C₈	C₂²	semidirect
38. C₁₁×D₄⋊C₈	C₂²	semidirect
39. C₁₁×#322	C₂²	semidirect
40. C₁₁×#322	C₂²	semidirect
41. C₁₁×#322	C₂²	semidirect
42. C₈²×C₁₁	C₂²	semidirect
94. #17950	C₁₁	direct (N × H)
141. #2981	C₂×C₁₁	semidirect
142. #2975	C₂×C₁₁	semidirect
143. #1594	C₂×C₁₁	semidirect
144. #1589	C₂×C₁₁	semidirect
145. #1586	C₂×C₁₁	semidirect
146. #1581	C₂×C₁₁	semidirect
147. #1572	C₂×C₁₁	semidirect
148. #1490	C₂×C₁₁	semidirect
149. #1484	C₂×C₁₁	semidirect
150. #1453	C₂×C₁₁	semidirect
202. #436	C₂²×C₁₁	semidirect
204. C₈×D₄	C₂²×C₁₁	semidirect
212. #335	C₂²×C₁₁	semidirect
213. #334	C₂²×C₁₁	semidirect
216. D₄⋊C₈	C₂²×C₁₁	semidirect
217. D₄⋊C₈	C₂²×C₁₁	semidirect
218. #322	C₂²×C₁₁	semidirect
219. #322	C₂²×C₁₁	semidirect
220. #322	C₂²×C₁₁	semidirect
221. C₈²	C₂²×C₁₁	semidirect
343. C₁₁	#17950	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×#3100	2
C₁₁×#2981	2
C₁₁×#2975	2
C₁₁×#1594	2
C₁₁×#1589	2
C₁₁×#1586	2
C₁₁×#1581	2
C₁₁×#1572	2
C₁₁×#1490	2
C₁₁×#1484	2
C₁₁×#1453	2
#17950	11

Subgroups — C11×#17950 #14595143

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#17950 #14595143