Subgroups — C₁₁×#22608 #14599801

Order 2816.

686 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2924	C₂	1	2	yes	maximal
2	C₁₁×#2911	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#1946	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#1945	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#1922	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1922	C₂	1	2	yes	maximal, complemented
7	C₁₁×#1826	C₂	1	2	yes	maximal
8	C₁₁×#1811	C₂	1	1	yes	maximal, characteristic
9	C₁₁×#1773	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#1772	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#1753	C₂	1	1	yes	maximal, characteristic
12	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
13	C₂×C₁₁×#117	C₂²	1	2	yes	—
14	C₁₁×#433	—	2	2	no	—
15	C₁₁×#433	—	2	2	no	—
16	C₁₁×#432	—	2	2	no	—
17	C₁₁×#431	—	2	2	no	—
18	C₂×C₁₁×#108	C₂²	1	1	yes	characteristic
19	C₂×C₁₁×#108	C₂²	1	1	yes	characteristic
20	C₁₁×#428	C₄	1	2	yes	complemented
21	C₁₁×#428	C₄	1	2	yes	complemented
22	C₁₁×#428	C₄	1	2	yes	complemented
23	C₁₁×#428	C₄	1	2	yes	complemented
24	C₁₁×#427	C₂²	1	2	yes	—
25	C₁₁×#427	C₂²	1	1	yes	characteristic
26	C₁₁×#427	C₂²	1	1	yes	characteristic
27	C₁₁×#424	C₂²	1	2	yes	—
28	C₁₁×#424	C₂²	1	2	yes	—
29	C₁₁×#407	C₂²	1	2	yes	—
30	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
31	C₁₁×#405	C₂²	1	2	yes	—
32	C₁₁×#405	C₂²	1	2	yes	—
33	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
35	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
36	C₁₁×#341	C₂²	1	2	yes	—
37	C₁₁×#339	C₂²	1	2	yes	—
38	C₁₁×#339	C₂²	1	2	yes	—
39	C₁₁×#339	C₂²	1	2	yes	—
40	C₁₁×#339	C₂²	1	2	yes	—
41	C₁₁×#336	C₂²	1	1	yes	characteristic
42	C₁₁×#336	C₂²	1	1	yes	characteristic
43	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
44	C₂×C₁₁×M₁₆	—	2	2	no	—
45	C₂×C₁₁×M₁₆	—	2	2	no	—
46	C₂×C₁₁×M₁₆	C₂×C₄	1	2	yes	—
47	C₂×C₁₁×M₁₆	C₂×C₄	1	2	yes	—
48	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
49	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
50	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
51	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
52	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
53	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
54	C₁₁×#117	—	2	2	no	—
55	C₁₁×#117	—	2	2	no	—
56	C₁₁×#117	C₂×C₄	1	2	yes	—
57	C₁₁×#117	C₂×C₄	1	2	yes	—
58	C₁₁×#117	C₂³	1	2	yes	—
59	C₁₁×#117	C₂³	1	2	yes	—
60	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
61	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
62	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
63	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
64	C₂×C₄²×C₁₁	—	2	2	no	—
65	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
66	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
67	C₁₁×#108	—	2	2	no	—
68	C₁₁×#108	—	2	2	no	—
69	C₁₁×#107	C₂×C₄	1	2	yes	—
70	C₁₁×#107	C₂×C₄	1	2	yes	—
71	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
72	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
73	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
74	C₁₁×#107	C₂×C₄	1	1	yes	characteristic
75	C₁₁×#106	C₂×C₄	1	2	yes	—
76	C₁₁×#106	C₂×C₄	1	2	yes	—
77	C₁₁×#106	C₂×C₄	1	2	yes	—
78	C₁₁×#106	C₂×C₄	1	2	yes	—
79	C₁₁×C₄⋊C₈	—	2	2	no	—
80	C₁₁×C₄⋊C₈	—	2	2	no	—
81	C₁₁×C₄⋊C₈	—	2	2	no	—
82	C₁₁×C₄⋊C₈	—	2	2	no	—
83	C₁₁×C₂²⋊C₈	—	2	2	no	—
84	C₁₁×C₂²⋊C₈	—	2	2	no	—
85	C₁₁×C₂²⋊C₈	D₄	1	2	yes	—
86	C₁₁×C₂²⋊C₈	D₄	1	2	yes	—
87	C₁₁×#97	—	2	2	no	—
88	C₁₁×#97	—	2	2	no	—
89	C₁₁×#97	—	2	2	no	—
90	C₄×C₈×C₁₁	—	2	2	no	—
91	C₄×C₈×C₁₁	—	2	2	no	—
92	C₄×C₈×C₁₁	—	2	2	no	—
93	C₁₁×#95	—	2	1	no	—
94	#22608	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
95	C₂⁴×C₁₁	#41	1	1	yes	characteristic
96	C₂²×C₄×C₁₁	—	2	1	no	—
97	C₂²×C₄×C₁₁	—	2	1	no	—
98	C₂²×C₄×C₁₁	—	2	1	no	—
99	C₂²×C₄×C₁₁	—	2	1	no	—
100	C₂²×C₄×C₁₁	—	2	2	no	—
101	C₂²×C₄×C₁₁	—	2	1	no	—
102	C₂²×C₄×C₁₁	—	2	2	no	—
103	C₂²×C₄×C₁₁	—	2	1	no	—
104	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
105	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
106	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
107	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
108	C₁₁×M₁₆	—	2	4	no	—
109	C₁₁×M₁₆	—	2	4	no	—
110	C₁₁×M₁₆	—	2	2	no	—
111	C₁₁×M₁₆	—	2	2	no	—
112	C₁₁×M₁₆	—	2	2	no	—
113	C₁₁×M₁₆	—	2	2	no	—
114	C₂×C₈×C₁₁	—	2	2	no	—
115	C₂×C₈×C₁₁	—	2	2	no	—
116	C₂×C₈×C₁₁	—	2	1	no	—
117	C₂×C₈×C₁₁	—	2	1	no	—
118	C₂×C₈×C₁₁	—	2	1	no	—
119	C₂×C₈×C₁₁	—	2	1	no	—
120	C₂×C₈×C₁₁	—	2	1	no	—
121	C₂×C₈×C₁₁	—	2	1	no	—
122	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
123	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
124	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
125	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
126	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
127	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
128	C₂×C₈×C₁₁	#41	1	2	yes	—
129	C₂×C₈×C₁₁	#41	1	2	yes	—
130	C₁₁×C₄⋊C₄	—	2	2	no	—
131	C₁₁×C₄⋊C₄	—	2	2	no	—
132	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
133	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
134	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
135	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
136	C₁₁×C₂²⋊C₄	—	2	2	no	—
137	C₁₁×C₂²⋊C₄	—	2	2	no	—
138	C₁₁×C₂²⋊C₄	—	2	2	no	—
139	C₁₁×C₂²⋊C₄	—	2	2	no	—
140	C₁₁×C₂²⋊C₄	—	4	2	no	—
141	C₄²×C₁₁	—	2	2	no	—
142	C₄²×C₁₁	—	2	2	no	—
143	C₄²×C₁₁	—	2	2	no	—
144	C₄²×C₁₁	—	2	2	no	—
145	C₄²×C₁₁	—	2	1	no	—
146	C₄²×C₁₁	—	2	1	no	—
147	C₄²×C₁₁	—	2	1	no	—
148	C₄²×C₁₁	—	2	1	no	—
149	#2924	C₂×C₁₁	1	2	yes	—
150	#2911	C₂×C₁₁	1	1	yes	characteristic
151	#1946	C₂×C₁₁	1	1	yes	characteristic, complemented
152	#1945	C₂×C₁₁	1	1	yes	characteristic, complemented
153	#1922	C₂×C₁₁	1	2	yes	complemented
154	#1922	C₂×C₁₁	1	2	yes	complemented
155	#1826	C₂×C₁₁	1	2	yes	—
156	#1811	C₂×C₁₁	1	1	yes	characteristic
157	#1773	C₂×C₁₁	1	1	yes	characteristic, complemented
158	#1772	C₂×C₁₁	1	1	yes	characteristic, complemented
159	#1753	C₂×C₁₁	1	1	yes	characteristic
160	C₂³×C₁₁	—	2	1	no	—
161	C₂³×C₁₁	—	2	1	no	—
162	C₂³×C₁₁	—	4	1	no	—
163	C₂³×C₁₁	—	4	1	no	—
164	C₂³×C₁₁	C₄×D₄	1	2	yes	—
165	C₂³×C₁₁	C₂×#41	1	1	yes	characteristic
166	C₂×C₄×C₁₁	—	2	1	no	—
167	C₂×C₄×C₁₁	—	2	1	no	—
168	C₂×C₄×C₁₁	—	2	2	no	—
169	C₂×C₄×C₁₁	—	2	2	no	—
170	C₂×C₄×C₁₁	—	2	2	no	—
171	C₂×C₄×C₁₁	—	2	2	no	—
172	C₂×C₄×C₁₁	—	2	2	no	—
173	C₂×C₄×C₁₁	—	2	2	no	—
174	C₂×C₄×C₁₁	—	2	2	no	—
175	C₂×C₄×C₁₁	—	2	2	no	—
176	C₂×C₄×C₁₁	—	2	2	no	—
177	C₂×C₄×C₁₁	—	4	1	no	—
178	C₂×C₄×C₁₁	—	4	4	no	—
179	C₂×C₄×C₁₁	—	4	1	no	—
180	C₂×C₄×C₁₁	—	4	1	no	—
181	C₂×C₄×C₁₁	—	4	1	no	—
182	C₂×C₄×C₁₁	—	4	1	no	—
183	C₂×C₄×C₁₁	—	8	2	no	—
184	C₂×C₄×C₁₁	C₄×D₄	1	2	yes	—
185	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
186	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
187	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
188	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
189	C₂×C₄×C₁₁	2₋¹⁺⁴	1	1	yes	characteristic
190	C₂×C₄×C₁₁	2₋¹⁺⁴	1	1	yes	characteristic
191	C₈×C₁₁	—	2	2	no	—
192	C₈×C₁₁	—	2	1	no	—
193	C₈×C₁₁	—	2	1	no	—
194	C₈×C₁₁	—	2	2	no	—
195	C₈×C₁₁	—	4	2	no	—
196	C₈×C₁₁	—	4	2	no	—
197	C₈×C₁₁	#117	1	2	yes	—
198	C₈×C₁₁	#117	1	2	yes	—
199	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
200	C₂×#117	C₂²×C₁₁	1	2	yes	—
201	#433	—	2	2	no	—
202	#433	—	2	2	no	—
203	#432	—	2	2	no	—
204	#431	—	2	2	no	—
205	C₂×#108	C₂²×C₁₁	1	1	yes	characteristic
206	C₂×#108	C₂²×C₁₁	1	1	yes	characteristic
207	#428	C₄×C₁₁	1	2	yes	complemented
208	#428	C₄×C₁₁	1	2	yes	complemented
209	#428	C₄×C₁₁	1	2	yes	complemented
210	#428	C₄×C₁₁	1	2	yes	complemented
211	#427	C₂²×C₁₁	1	2	yes	—
212	#427	C₂²×C₁₁	1	1	yes	characteristic
213	#427	C₂²×C₁₁	1	1	yes	characteristic
214	#424	C₂²×C₁₁	1	2	yes	—
215	#424	C₂²×C₁₁	1	2	yes	—
216	#407	C₂²×C₁₁	1	2	yes	—
217	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
218	#405	C₂²×C₁₁	1	2	yes	—
219	#405	C₂²×C₁₁	1	2	yes	—
220	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
221	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
222	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
223	#341	C₂²×C₁₁	1	2	yes	—
224	#339	C₂²×C₁₁	1	2	yes	—
225	#339	C₂²×C₁₁	1	2	yes	—
226	#339	C₂²×C₁₁	1	2	yes	—
227	#339	C₂²×C₁₁	1	2	yes	—
228	#336	C₂²×C₁₁	1	1	yes	characteristic
229	#336	C₂²×C₁₁	1	1	yes	characteristic
230	C₂²×C₁₁	—	2	1	no	—
231	C₂²×C₁₁	—	2	1	no	—
232	C₂²×C₁₁	—	2	2	no	—
233	C₂²×C₁₁	—	2	2	no	—
234	C₂²×C₁₁	—	2	2	no	—
235	C₂²×C₁₁	—	8	1	no	—
236	C₂²×C₁₁	—	8	1	no	—
237	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
238	C₂²×C₁₁	#552	1	1	yes	characteristic
239	C₂²×C₁₁	#552	1	1	yes	characteristic
240	C₄×C₁₁	—	2	2	no	—
241	C₄×C₁₁	—	4	2	no	—
242	C₄×C₁₁	—	4	2	no	—
243	C₄×C₁₁	—	4	2	no	—
244	C₄×C₁₁	—	4	2	no	—
245	C₄×C₁₁	—	4	2	no	—
246	C₄×C₁₁	—	8	1	no	—
247	C₄×C₁₁	C₂×#117	1	1	yes	characteristic
248	C₄×C₁₁	#519	1	1	yes	characteristic
249	C₄×C₁₁	#547	1	1	yes	characteristic
250	C₄×C₁₁	#547	1	1	yes	characteristic
251	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
252	C₂×M₁₆	—	2	2	no	—
253	C₂×M₁₆	—	2	2	no	—
254	C₂×M₁₆	C₂×C₄×C₁₁	1	2	yes	—
255	C₂×M₁₆	C₂×C₄×C₁₁	1	2	yes	—
256	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
257	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
258	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
259	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
260	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
261	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
262	#117	—	2	2	no	—
263	#117	—	2	2	no	—
264	#117	C₂×C₄×C₁₁	1	2	yes	—
265	#117	C₂×C₄×C₁₁	1	2	yes	—
266	#117	C₂³×C₁₁	1	2	yes	—
267	#117	C₂³×C₁₁	1	2	yes	—
268	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
269	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
270	C₂×C₂²⋊C₄	—	2	2	no	—
271	C₂×C₂²⋊C₄	—	2	1	no	—
272	C₂×C₄²	—	2	2	no	—
273	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
274	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
275	#108	—	2	2	no	—
276	#108	—	2	2	no	—
277	#107	C₂×C₄×C₁₁	1	2	yes	—
278	#107	C₂×C₄×C₁₁	1	2	yes	—
279	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
280	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
281	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
282	#107	C₂×C₄×C₁₁	1	1	yes	characteristic
283	#106	C₂×C₄×C₁₁	1	2	yes	—
284	#106	C₂×C₄×C₁₁	1	2	yes	—
285	#106	C₂×C₄×C₁₁	1	2	yes	—
286	#106	C₂×C₄×C₁₁	1	2	yes	—
287	C₄⋊C₈	—	2	2	no	—
288	C₄⋊C₈	—	2	2	no	—
289	C₄⋊C₈	—	2	2	no	—
290	C₄⋊C₈	—	2	2	no	—
291	C₂²⋊C₈	—	2	2	no	—
292	C₂²⋊C₈	—	2	2	no	—
293	C₂²⋊C₈	D₄×C₁₁	1	2	yes	—
294	C₂²⋊C₈	D₄×C₁₁	1	2	yes	—
295	#97	—	2	2	no	—
296	#97	—	2	2	no	—
297	#97	—	2	2	no	—
298	C₄×C₈	—	2	2	no	—
299	C₄×C₈	—	2	2	no	—
300	C₄×C₈	—	2	2	no	—
301	#95	—	2	1	no	—
302	C₂×C₁₁	—	2	1	no	—
303	C₂×C₁₁	—	2	1	no	—
304	C₂×C₁₁	—	4	2	no	—
305	C₂×C₁₁	#2344	1	1	yes	characteristic
306	C₂×C₁₁	#2955	1	1	yes	characteristic
307	C₂×C₁₁	#2956	1	1	yes	characteristic
308	C₂⁴	C₁₁×#41	1	1	yes	characteristic
309	C₂²×C₄	—	2	1	no	—
310	C₂²×C₄	—	2	1	no	—
311	C₂²×C₄	—	2	1	no	—
312	C₂²×C₄	—	2	1	no	—
313	C₂²×C₄	—	2	2	no	—
314	C₂²×C₄	—	2	1	no	—
315	C₂²×C₄	—	2	2	no	—
316	C₂²×C₄	—	2	1	no	—
317	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
318	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
319	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
320	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
321	M₁₆	—	2	4	no	—
322	M₁₆	—	2	4	no	—
323	M₁₆	—	2	2	no	—
324	M₁₆	—	2	2	no	—
325	M₁₆	—	2	2	no	—
326	M₁₆	—	2	2	no	—
327	C₂×C₈	—	2	1	no	—
328	C₂×C₈	—	2	1	no	—
329	C₂×C₈	—	2	1	no	—
330	C₂×C₈	—	2	1	no	—
331	C₂×C₈	—	2	1	no	—
332	C₂×C₈	—	2	1	no	—
333	C₂×C₈	—	2	2	no	—
334	C₂×C₈	—	2	2	no	—
335	C₂×C₈	C₂²×C₄×C₁₁	1	2	yes	—
336	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
337	C₂×C₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
338	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
339	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
340	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
341	C₂×C₈	C₁₁×#41	1	2	yes	—
342	C₂×C₈	C₁₁×#41	1	2	yes	—
343	C₄⋊C₄	—	2	2	no	—
344	C₄⋊C₄	—	2	2	no	—
345	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
346	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
347	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
348	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
349	C₂²⋊C₄	—	2	2	no	—
350	C₂²⋊C₄	—	2	2	no	—
351	C₂²⋊C₄	—	2	2	no	—
352	C₂²⋊C₄	—	2	2	no	—
353	C₂²⋊C₄	—	4	2	no	—
354	C₄²	—	2	2	no	—
355	C₄²	—	2	2	no	—
356	C₄²	—	2	2	no	—
357	C₄²	—	2	2	no	—
358	C₄²	—	2	1	no	—
359	C₄²	—	2	1	no	—
360	C₄²	—	2	1	no	—
361	C₄²	—	2	1	no	—
362	C₁₁	#22608	1	1	yes	characteristic, direct product factor, Sylow
363	C₂³	—	2	1	no	—
364	C₂³	—	2	1	no	—
365	C₂³	—	4	1	no	—
366	C₂³	—	4	1	no	—
367	C₂³	C₄×D₄×C₁₁	1	2	yes	—
368	C₂³	C₂×C₁₁×#41	1	1	yes	characteristic
369	C₂×C₄	—	2	1	no	—
370	C₂×C₄	—	2	1	no	—
371	C₂×C₄	—	2	2	no	—
372	C₂×C₄	—	2	2	no	—
373	C₂×C₄	—	2	2	no	—
374	C₂×C₄	—	2	2	no	—
375	C₂×C₄	—	2	2	no	—
376	C₂×C₄	—	2	2	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	4	1	no	—
381	C₂×C₄	—	4	4	no	—
382	C₂×C₄	—	4	1	no	—
383	C₂×C₄	—	4	1	no	—
384	C₂×C₄	—	4	1	no	—
385	C₂×C₄	—	4	1	no	—
386	C₂×C₄	—	8	2	no	—
387	C₂×C₄	C₄×D₄×C₁₁	1	2	yes	—
388	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
389	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
390	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
391	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
392	C₂×C₄	C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
393	C₂×C₄	C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
394	C₈	—	2	2	no	—
395	C₈	—	2	1	no	—
396	C₈	—	2	1	no	—
397	C₈	—	2	2	no	—
398	C₈	—	4	2	no	—
399	C₈	—	4	2	no	—
400	C₈	C₁₁×#117	1	2	yes	—
401	C₈	C₁₁×#117	1	2	yes	—
402	C₂²	—	2	1	no	—
403	C₂²	—	2	1	no	—
404	C₂²	—	2	2	no	—
405	C₂²	—	2	2	no	—
406	C₂²	—	2	2	no	—
407	C₂²	—	8	1	no	—
408	C₂²	—	8	1	no	—
409	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
410	C₂²	C₁₁×#552	1	1	yes	characteristic
411	C₂²	C₁₁×#552	1	1	yes	characteristic
412	C₄	—	2	2	no	—
413	C₄	—	4	2	no	—
414	C₄	—	4	2	no	—
415	C₄	—	4	2	no	—
416	C₄	—	4	2	no	—
417	C₄	—	4	2	no	—
418	C₄	—	8	1	no	—
419	C₄	C₂×C₁₁×#117	1	1	yes	characteristic
420	C₄	C₁₁×#519	1	1	yes	characteristic
421	C₄	C₁₁×#547	1	1	yes	characteristic
422	C₄	C₁₁×#547	1	1	yes	characteristic
423	C₂	—	2	1	no	—
424	C₂	—	2	1	no	—
425	C₂	—	4	2	no	—
426	C₂	C₁₁×#2344	1	1	yes	characteristic
427	C₂	C₁₁×#2955	1	1	yes	characteristic
428	C₂	C₁₁×#2956	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₁	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₁
socle	C₂²×C₁₁	C₂×C₄×D₄
prime radical	C₂⁴×C₁₁	#41
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₁ ◁ C₂×C₁₁×C₂²⋊C₈ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₁₁×#1946	C₂	semidirect
4. C₁₁×#1945	C₂	semidirect
5. C₁₁×#1922	C₂	semidirect
6. C₁₁×#1922	C₂	semidirect
9. C₁₁×#1773	C₂	semidirect
10. C₁₁×#1772	C₂	semidirect
20. C₁₁×#428	C₄	semidirect
21. C₁₁×#428	C₄	semidirect
22. C₁₁×#428	C₄	semidirect
23. C₁₁×#428	C₄	semidirect
94. #22608	C₁₁	direct (N × H)
151. #1946	C₂×C₁₁	semidirect
152. #1945	C₂×C₁₁	semidirect
153. #1922	C₂×C₁₁	semidirect
154. #1922	C₂×C₁₁	semidirect
157. #1773	C₂×C₁₁	semidirect
158. #1772	C₂×C₁₁	semidirect
207. #428	C₄×C₁₁	semidirect
208. #428	C₄×C₁₁	semidirect
209. #428	C₄×C₁₁	semidirect
210. #428	C₄×C₁₁	semidirect
362. C₁₁	#22608	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×#2924	2
C₁₁×#2911	2
C₁₁×#1946	2
C₁₁×#1945	2
C₁₁×#1922	2
C₁₁×#1826	2
C₁₁×#1811	2
C₁₁×#1773	2
C₁₁×#1772	2
C₁₁×#1753	2
#22608	11

Subgroups — C11×#22608 #14599801

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#22608 #14599801