Subgroups — C₁₁×#22095 #14599288

Order 2816.

738 conjugacy classes of subgroups.

The subgroup lattice has 518 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3091	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2929	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₁×#424	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#1945	C₂	1	2	yes	maximal, complemented
5	C₁₁×#1937	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1922	C₂	1	2	yes	maximal, complemented
7	C₁₁×#1871	C₂	1	1	yes	maximal, characteristic
8	C₁₁×#1866	C₂	1	2	yes	maximal, complemented
9	C₁₁×#1855	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#1826	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈×C₁₁×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₁×#131	C₂²	1	1	yes	characteristic
13	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
14	C₂³×C₈×C₁₁	C₂²	1	1	yes	characteristic
15	C₁₁×#525	C₂²	1	1	yes	characteristic
16	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
17	C₁₁×#485	C₄	1	2	yes	complemented
18	C₁₁×#484	C₄	1	1	yes	characteristic, complemented
19	C₁₁×#483	C₄	1	1	yes	characteristic, complemented
20	C₁₁×#482	C₄	1	2	yes	complemented
21	C₁₁×#481	C₄	1	1	yes	characteristic, complemented
22	C₁₁×#480	C₄	1	1	yes	characteristic, complemented
23	C₁₁×#435	—	2	1	no	—
24	C₁₁×#435	—	2	1	no	—
25	C₈×D₄×C₁₁	—	2	1	no	—
26	C₈×D₄×C₁₁	—	2	1	no	—
27	C₂×C₁₁×#108	C₂²	1	2	yes	—
28	C₁₁×#427	C₂²	1	2	yes	—
29	C₁₁×#424	—	2	1	no	—
30	C₁₁×#424	—	2	1	no	—
31	C₁₁×#424	C₂²	1	2	yes	—
32	C₁₁×#424	C₂²	1	2	yes	—
33	C₁₁×#424	C₂²	1	1	yes	characteristic
34	C₂×C₁₁×C₄⋊C₈	—	2	1	no	—
35	C₂×C₁₁×C₄⋊C₈	—	2	1	no	—
36	C₂×C₁₁×#104	C₂²	1	2	yes	—
37	C₁₁×#416	C₂²	1	2	yes	—
38	C₁₁×#408	C₂²	1	1	yes	characteristic
39	C₁₁×#407	C₂²	1	1	yes	characteristic
40	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
41	C₁₁×#405	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₈×C₁₁	C₂²	1	2	yes	—
43	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₁₁×#341	C₂²	1	2	yes	—
45	C₁₁×#339	C₂²	1	2	yes	—
46	C₁₁×#339	C₂²	1	2	yes	—
47	C₁₁×#339	C₂²	1	2	yes	—
48	C₁₁×#336	C₂²	1	2	yes	—
49	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
50	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
51	C₁₁×#131	—	4	2	no	—
52	C₂×C₁₁×M₁₆	—	2	1	no	—
53	C₂×C₁₁×M₁₆	—	2	1	no	—
54	C₂×C₁₁×M₁₆	—	4	2	no	—
55	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
56	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
57	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
58	C₂²×C₈×C₁₁	—	2	1	no	—
59	C₂²×C₈×C₁₁	—	2	1	no	—
60	C₂²×C₈×C₁₁	—	4	2	no	—
61	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
62	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
63	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
64	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
65	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
66	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
67	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
68	C₁₁×#123	—	2	1	no	—
69	C₁₁×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
70	C₁₁×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
71	C₁₁×#121	C₂×C₄	1	1	yes	characteristic
72	C₁₁×#121	C₂×C₄	1	1	yes	characteristic
73	C₁₁×#120	—	2	1	no	—
74	C₄×D₄×C₁₁	—	2	1	no	—
75	C₄×D₄×C₁₁	—	2	1	no	—
76	C₁₁×#117	—	2	1	no	—
77	C₁₁×#117	—	2	1	no	—
78	C₁₁×#117	C₂×C₄	1	2	yes	—
79	C₁₁×#117	C₂³	1	2	yes	—
80	C₁₁×#117	C₂³	1	1	yes	characteristic
81	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
82	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
83	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
84	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
85	C₂×C₄²×C₁₁	—	2	1	no	—
86	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
87	C₁₁×#108	—	4	2	no	—
88	C₁₁×#107	C₂×C₄	1	2	yes	—
89	C₁₁×#107	C₂×C₄	1	2	yes	—
90	C₁₁×#106	C₂×C₄	1	2	yes	—
91	C₁₁×#106	C₂×C₄	1	2	yes	—
92	C₁₁×C₄⋊C₈	—	2	2	no	—
93	C₁₁×C₄⋊C₈	—	2	2	no	—
94	C₁₁×C₄⋊C₈	—	2	2	no	—
95	C₁₁×C₄⋊C₈	—	2	2	no	—
96	C₁₁×C₄⋊C₈	—	2	1	no	—
97	C₁₁×C₄⋊C₈	—	2	1	no	—
98	C₁₁×#104	—	4	2	no	—
99	C₁₁×#103	C₂×C₄	1	2	yes	—
100	C₁₁×#103	C₂×C₄	1	2	yes	—
101	C₁₁×#102	C₂×C₄	1	2	yes	—
102	C₁₁×#102	C₂×C₄	1	2	yes	—
103	C₁₁×C₂²⋊C₈	—	2	1	no	—
104	C₁₁×C₂²⋊C₈	—	2	1	no	—
105	C₁₁×C₂²⋊C₈	—	2	1	no	—
106	C₁₁×C₂²⋊C₈	—	2	1	no	—
107	C₁₁×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic
108	C₁₁×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic
109	C₁₁×C₂²⋊C₈	C₂×C₄	1	2	yes	—
110	C₁₁×#97	—	2	1	no	—
111	C₄×C₈×C₁₁	—	2	1	no	—
112	C₄×C₈×C₁₁	—	4	2	no	—
113	C₁₁×#95	—	2	1	no	—
114	#22095	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
115	C₂⁴×C₁₁	#41	1	1	yes	characteristic
116	C₁₁×#41	—	2	2	no	—
117	C₁₁×#41	—	2	2	no	—
118	C₂×Q₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
119	C₂×D₄×C₁₁	—	2	1	no	—
120	C₂×D₄×C₁₁	—	2	1	no	—
121	C₂×D₄×C₁₁	—	2	1	no	—
122	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
123	C₂²×C₄×C₁₁	—	2	2	no	—
124	C₂²×C₄×C₁₁	—	2	2	no	—
125	C₂²×C₄×C₁₁	—	2	1	no	—
126	C₂²×C₄×C₁₁	—	2	1	no	—
127	C₂²×C₄×C₁₁	—	2	2	no	—
128	C₂²×C₄×C₁₁	—	2	1	no	—
129	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
130	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
131	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
132	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
133	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
134	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
135	C₁₁×M₁₆	—	2	2	no	—
136	C₁₁×M₁₆	—	2	2	no	—
137	C₁₁×M₁₆	—	2	2	no	—
138	C₁₁×M₁₆	—	2	2	no	—
139	C₁₁×M₁₆	—	4	2	no	—
140	C₁₁×M₁₆	—	4	2	no	—
141	C₂×C₈×C₁₁	—	2	1	no	—
142	C₂×C₈×C₁₁	—	2	1	no	—
143	C₂×C₈×C₁₁	—	2	2	no	—
144	C₂×C₈×C₁₁	—	2	2	no	—
145	C₂×C₈×C₁₁	—	2	2	no	—
146	C₂×C₈×C₁₁	—	2	2	no	—
147	C₂×C₈×C₁₁	—	2	2	no	—
148	C₂×C₈×C₁₁	—	4	1	no	—
149	C₂×C₈×C₁₁	—	4	1	no	—
150	C₂×C₈×C₁₁	—	4	1	no	—
151	C₂×C₈×C₁₁	—	4	1	no	—
152	C₂×C₈×C₁₁	—	4	2	no	—
153	C₂×C₈×C₁₁	—	4	2	no	—
154	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
155	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
156	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
157	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
158	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
159	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
160	C₁₁×C₄⋊C₄	—	2	1	no	—
161	C₁₁×C₄⋊C₄	—	2	1	no	—
162	C₁₁×C₄⋊C₄	—	2	1	no	—
163	C₁₁×C₄⋊C₄	—	2	1	no	—
164	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
165	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
166	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
167	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
168	C₁₁×C₂²⋊C₄	—	2	4	no	—
169	C₁₁×C₂²⋊C₄	—	2	2	no	—
170	C₁₁×C₂²⋊C₄	—	2	1	no	—
171	C₁₁×C₂²⋊C₄	—	2	1	no	—
172	C₁₁×C₂²⋊C₄	—	2	2	no	—
173	C₁₁×C₂²⋊C₄	—	2	1	no	—
174	C₁₁×C₂²⋊C₄	—	2	1	no	—
175	C₁₁×C₂²⋊C₄	—	2	1	no	—
176	C₄²×C₁₁	—	2	2	no	—
177	C₄²×C₁₁	—	2	1	no	—
178	C₄²×C₁₁	—	2	2	no	—
179	C₄²×C₁₁	—	2	2	no	—
180	C₄²×C₁₁	—	2	2	no	—
181	#3091	C₂×C₁₁	1	1	yes	characteristic
182	#2929	C₂×C₁₁	1	1	yes	characteristic
183	C₂×#424	C₂×C₁₁	1	1	yes	characteristic, complemented
184	#1945	C₂×C₁₁	1	2	yes	complemented
185	#1937	C₂×C₁₁	1	2	yes	complemented
186	#1922	C₂×C₁₁	1	2	yes	complemented
187	#1871	C₂×C₁₁	1	1	yes	characteristic
188	#1866	C₂×C₁₁	1	2	yes	complemented
189	#1855	C₂×C₁₁	1	1	yes	characteristic, complemented
190	#1826	C₂×C₁₁	1	1	yes	characteristic, complemented
191	C₈×C₂²⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
192	C₂³×C₁₁	—	2	2	no	—
193	C₂³×C₁₁	—	2	2	no	—
194	C₂³×C₁₁	—	2	1	no	—
195	C₂³×C₁₁	—	4	1	no	—
196	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
197	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
198	C₂³×C₁₁	C₂×#41	1	1	yes	characteristic
199	Q₈×C₁₁	—	2	2	no	—
200	D₄×C₁₁	—	2	2	no	—
201	D₄×C₁₁	—	4	2	no	—
202	D₄×C₁₁	—	4	2	no	—
203	D₄×C₁₁	—	4	2	no	—
204	C₂×C₄×C₁₁	—	2	2	no	—
205	C₂×C₄×C₁₁	—	2	2	no	—
206	C₂×C₄×C₁₁	—	2	2	no	—
207	C₂×C₄×C₁₁	—	2	1	no	—
208	C₂×C₄×C₁₁	—	2	1	no	—
209	C₂×C₄×C₁₁	—	2	1	no	—
210	C₂×C₄×C₁₁	—	2	1	no	—
211	C₂×C₄×C₁₁	—	2	4	no	—
212	C₂×C₄×C₁₁	—	2	2	no	—
213	C₂×C₄×C₁₁	—	2	2	no	—
214	C₂×C₄×C₁₁	—	2	1	no	—
215	C₂×C₄×C₁₁	—	2	1	no	—
216	C₂×C₄×C₁₁	—	2	1	no	—
217	C₂×C₄×C₁₁	—	4	2	no	—
218	C₂×C₄×C₁₁	—	4	2	no	—
219	C₂×C₄×C₁₁	—	4	2	no	—
220	C₂×C₄×C₁₁	—	4	2	no	—
221	C₂×C₄×C₁₁	—	4	1	no	—
222	C₂×C₄×C₁₁	—	4	1	no	—
223	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
224	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
225	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
226	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
227	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
228	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
229	C₈×C₁₁	—	2	2	no	—
230	C₈×C₁₁	—	2	2	no	—
231	C₈×C₁₁	—	2	1	no	—
232	C₈×C₁₁	—	2	1	no	—
233	C₈×C₁₁	—	2	1	no	—
234	C₈×C₁₁	—	2	1	no	—
235	C₈×C₁₁	—	4	1	no	—
236	C₈×C₁₁	—	4	2	no	—
237	C₈×C₁₁	—	4	1	no	—
238	C₂×#131	C₂²×C₁₁	1	1	yes	characteristic
239	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
240	C₂³×C₈	C₂²×C₁₁	1	1	yes	characteristic
241	#525	C₂²×C₁₁	1	1	yes	characteristic
242	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
243	#485	C₄×C₁₁	1	2	yes	complemented
244	#484	C₄×C₁₁	1	1	yes	characteristic, complemented
245	#483	C₄×C₁₁	1	1	yes	characteristic, complemented
246	#482	C₄×C₁₁	1	2	yes	complemented
247	#481	C₄×C₁₁	1	1	yes	characteristic, complemented
248	#480	C₄×C₁₁	1	1	yes	characteristic, complemented
249	#435	—	2	1	no	—
250	#435	—	2	1	no	—
251	C₈×D₄	—	2	1	no	—
252	C₈×D₄	—	2	1	no	—
253	C₂×#108	C₂²×C₁₁	1	2	yes	—
254	#427	C₂²×C₁₁	1	2	yes	—
255	#424	—	2	1	no	—
256	#424	—	2	1	no	—
257	#424	C₂²×C₁₁	1	2	yes	—
258	#424	C₂²×C₁₁	1	2	yes	—
259	#424	C₂²×C₁₁	1	1	yes	characteristic
260	C₂×C₄⋊C₈	—	2	1	no	—
261	C₂×C₄⋊C₈	—	2	1	no	—
262	C₂×#104	C₂²×C₁₁	1	2	yes	—
263	#416	C₂²×C₁₁	1	2	yes	—
264	#408	C₂²×C₁₁	1	1	yes	characteristic
265	#407	C₂²×C₁₁	1	1	yes	characteristic
266	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
267	#405	C₂²×C₁₁	1	1	yes	characteristic
268	C₂×C₄×C₈	C₂²×C₁₁	1	2	yes	—
269	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
270	#341	C₂²×C₁₁	1	2	yes	—
271	#339	C₂²×C₁₁	1	2	yes	—
272	#339	C₂²×C₁₁	1	2	yes	—
273	#339	C₂²×C₁₁	1	2	yes	—
274	#336	C₂²×C₁₁	1	2	yes	—
275	C₂²×C₁₁	—	2	1	no	—
276	C₂²×C₁₁	—	2	1	no	—
277	C₂²×C₁₁	—	2	1	no	—
278	C₂²×C₁₁	—	2	1	no	—
279	C₂²×C₁₁	—	2	1	no	—
280	C₂²×C₁₁	—	2	1	no	—
281	C₂²×C₁₁	—	2	1	no	—
282	C₂²×C₁₁	—	4	4	no	—
283	C₂²×C₁₁	—	4	1	no	—
284	C₂²×C₁₁	—	4	1	no	—
285	C₂²×C₁₁	—	4	1	no	—
286	C₂²×C₁₁	#443	1	2	yes	—
287	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
288	C₂²×C₁₁	#539	1	2	yes	—
289	C₄×C₁₁	—	2	1	no	—
290	C₄×C₁₁	—	2	1	no	—
291	C₄×C₁₁	—	4	4	no	—
292	C₄×C₁₁	—	4	1	no	—
293	C₄×C₁₁	—	4	2	no	—
294	C₄×C₁₁	—	4	1	no	—
295	C₄×C₁₁	—	4	2	no	—
296	C₄×C₁₁	—	4	1	no	—
297	C₄×C₁₁	#520	1	2	yes	—
298	C₄×C₁₁	#534	1	1	yes	characteristic
299	C₄×C₁₁	#536	1	1	yes	characteristic
300	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
301	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
302	#131	—	4	2	no	—
303	C₂×M₁₆	—	2	1	no	—
304	C₂×M₁₆	—	2	1	no	—
305	C₂×M₁₆	—	4	2	no	—
306	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
307	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
308	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
309	C₂²×C₈	—	2	1	no	—
310	C₂²×C₈	—	2	1	no	—
311	C₂²×C₈	—	4	2	no	—
312	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
313	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
314	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
315	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
316	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
317	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
318	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
319	#123	—	2	1	no	—
320	C₂²⋊Q₈	C₂×C₄×C₁₁	1	1	yes	characteristic
321	C₂²⋊Q₈	C₂×C₄×C₁₁	1	1	yes	characteristic
322	#121	C₂×C₄×C₁₁	1	1	yes	characteristic
323	#121	C₂×C₄×C₁₁	1	1	yes	characteristic
324	#120	—	2	1	no	—
325	C₄×D₄	—	2	1	no	—
326	C₄×D₄	—	2	1	no	—
327	#117	—	2	1	no	—
328	#117	—	2	1	no	—
329	#117	C₂×C₄×C₁₁	1	2	yes	—
330	#117	C₂³×C₁₁	1	2	yes	—
331	#117	C₂³×C₁₁	1	1	yes	characteristic
332	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
333	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
334	C₂×C₂²⋊C₄	—	2	1	no	—
335	C₂×C₂²⋊C₄	—	2	1	no	—
336	C₂×C₄²	—	2	1	no	—
337	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
338	#108	—	4	2	no	—
339	#107	C₂×C₄×C₁₁	1	2	yes	—
340	#107	C₂×C₄×C₁₁	1	2	yes	—
341	#106	C₂×C₄×C₁₁	1	2	yes	—
342	#106	C₂×C₄×C₁₁	1	2	yes	—
343	C₄⋊C₈	—	2	2	no	—
344	C₄⋊C₈	—	2	2	no	—
345	C₄⋊C₈	—	2	2	no	—
346	C₄⋊C₈	—	2	2	no	—
347	C₄⋊C₈	—	2	1	no	—
348	C₄⋊C₈	—	2	1	no	—
349	#104	—	4	2	no	—
350	#103	C₂×C₄×C₁₁	1	2	yes	—
351	#103	C₂×C₄×C₁₁	1	2	yes	—
352	#102	C₂×C₄×C₁₁	1	2	yes	—
353	#102	C₂×C₄×C₁₁	1	2	yes	—
354	C₂²⋊C₈	—	2	1	no	—
355	C₂²⋊C₈	—	2	1	no	—
356	C₂²⋊C₈	—	2	1	no	—
357	C₂²⋊C₈	—	2	1	no	—
358	C₂²⋊C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
359	C₂²⋊C₈	C₂×C₄×C₁₁	1	1	yes	characteristic
360	C₂²⋊C₈	C₂×C₄×C₁₁	1	2	yes	—
361	#97	—	2	1	no	—
362	C₄×C₈	—	2	1	no	—
363	C₄×C₈	—	4	2	no	—
364	#95	—	2	1	no	—
365	C₂×C₁₁	—	2	2	no	—
366	C₂×C₁₁	—	2	2	no	—
367	C₂×C₁₁	—	4	1	no	—
368	C₂×C₁₁	—	8	1	no	—
369	C₂×C₁₁	#2322	1	1	yes	characteristic
370	C₂×C₁₁	C₂×#443	1	1	yes	characteristic
371	C₂×C₁₁	#2955	1	1	yes	characteristic
372	C₂⁴	C₁₁×#41	1	1	yes	characteristic
373	#41	—	2	2	no	—
374	#41	—	2	2	no	—
375	C₂×Q₈	C₂²×C₄×C₁₁	1	1	yes	characteristic
376	C₂×D₄	—	2	1	no	—
377	C₂×D₄	—	2	1	no	—
378	C₂×D₄	—	2	1	no	—
379	C₂×D₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
380	C₂²×C₄	—	2	2	no	—
381	C₂²×C₄	—	2	2	no	—
382	C₂²×C₄	—	2	1	no	—
383	C₂²×C₄	—	2	1	no	—
384	C₂²×C₄	—	2	2	no	—
385	C₂²×C₄	—	2	1	no	—
386	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
387	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
388	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
389	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
390	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
391	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
392	M₁₆	—	2	2	no	—
393	M₁₆	—	2	2	no	—
394	M₁₆	—	2	2	no	—
395	M₁₆	—	2	2	no	—
396	M₁₆	—	4	2	no	—
397	M₁₆	—	4	2	no	—
398	C₂×C₈	—	2	2	no	—
399	C₂×C₈	—	2	2	no	—
400	C₂×C₈	—	2	2	no	—
401	C₂×C₈	—	2	2	no	—
402	C₂×C₈	—	2	1	no	—
403	C₂×C₈	—	2	1	no	—
404	C₂×C₈	—	2	2	no	—
405	C₂×C₈	—	4	1	no	—
406	C₂×C₈	—	4	1	no	—
407	C₂×C₈	—	4	1	no	—
408	C₂×C₈	—	4	1	no	—
409	C₂×C₈	—	4	2	no	—
410	C₂×C₈	—	4	2	no	—
411	C₂×C₈	C₂²×C₄×C₁₁	1	2	yes	—
412	C₂×C₈	C₂²×C₄×C₁₁	1	2	yes	—
413	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
414	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
415	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
416	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
417	C₄⋊C₄	—	2	1	no	—
418	C₄⋊C₄	—	2	1	no	—
419	C₄⋊C₄	—	2	1	no	—
420	C₄⋊C₄	—	2	1	no	—
421	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
422	C₄⋊C₄	C₂²×C₄×C₁₁	1	2	yes	—
423	C₄⋊C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
424	C₄⋊C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
425	C₂²⋊C₄	—	2	4	no	—
426	C₂²⋊C₄	—	2	2	no	—
427	C₂²⋊C₄	—	2	1	no	—
428	C₂²⋊C₄	—	2	1	no	—
429	C₂²⋊C₄	—	2	2	no	—
430	C₂²⋊C₄	—	2	1	no	—
431	C₂²⋊C₄	—	2	1	no	—
432	C₂²⋊C₄	—	2	1	no	—
433	C₄²	—	2	2	no	—
434	C₄²	—	2	1	no	—
435	C₄²	—	2	2	no	—
436	C₄²	—	2	2	no	—
437	C₄²	—	2	2	no	—
438	C₁₁	#22095	1	1	yes	characteristic, direct product factor, Sylow
439	C₂³	—	2	2	no	—
440	C₂³	—	2	2	no	—
441	C₂³	—	2	1	no	—
442	C₂³	—	4	1	no	—
443	C₂³	C₄×D₄×C₁₁	1	1	yes	characteristic
444	C₂³	C₄×D₄×C₁₁	1	1	yes	characteristic
445	C₂³	C₂×C₁₁×#41	1	1	yes	characteristic
446	Q₈	—	2	2	no	—
447	D₄	—	2	2	no	—
448	D₄	—	4	2	no	—
449	D₄	—	4	2	no	—
450	D₄	—	4	2	no	—
451	C₂×C₄	—	2	2	no	—
452	C₂×C₄	—	2	2	no	—
453	C₂×C₄	—	2	2	no	—
454	C₂×C₄	—	2	1	no	—
455	C₂×C₄	—	2	1	no	—
456	C₂×C₄	—	2	1	no	—
457	C₂×C₄	—	2	1	no	—
458	C₂×C₄	—	2	4	no	—
459	C₂×C₄	—	2	2	no	—
460	C₂×C₄	—	2	2	no	—
461	C₂×C₄	—	2	1	no	—
462	C₂×C₄	—	2	1	no	—
463	C₂×C₄	—	2	1	no	—
464	C₂×C₄	—	4	2	no	—
465	C₂×C₄	—	4	2	no	—
466	C₂×C₄	—	4	2	no	—
467	C₂×C₄	—	4	2	no	—
468	C₂×C₄	—	4	1	no	—
469	C₂×C₄	—	4	1	no	—
470	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
471	C₂×C₄	C₄×D₄×C₁₁	1	1	yes	characteristic
472	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
473	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
474	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
475	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
476	C₈	—	2	2	no	—
477	C₈	—	2	2	no	—
478	C₈	—	2	1	no	—
479	C₈	—	2	1	no	—
480	C₈	—	2	1	no	—
481	C₈	—	2	1	no	—
482	C₈	—	4	1	no	—
483	C₈	—	4	2	no	—
484	C₈	—	4	1	no	—
485	C₂²	—	2	1	no	—
486	C₂²	—	2	1	no	—
487	C₂²	—	2	1	no	—
488	C₂²	—	2	1	no	—
489	C₂²	—	2	1	no	—
490	C₂²	—	2	1	no	—
491	C₂²	—	2	1	no	—
492	C₂²	—	4	4	no	—
493	C₂²	—	4	1	no	—
494	C₂²	—	4	1	no	—
495	C₂²	—	4	1	no	—
496	C₂²	C₁₁×#443	1	2	yes	—
497	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
498	C₂²	C₁₁×#539	1	2	yes	—
499	C₄	—	2	1	no	—
500	C₄	—	2	1	no	—
501	C₄	—	4	4	no	—
502	C₄	—	4	2	no	—
503	C₄	—	4	1	no	—
504	C₄	—	4	2	no	—
505	C₄	—	4	1	no	—
506	C₄	—	4	1	no	—
507	C₄	C₁₁×#520	1	2	yes	—
508	C₄	C₁₁×#534	1	1	yes	characteristic
509	C₄	C₁₁×#536	1	1	yes	characteristic
510	C₂	—	2	2	no	—
511	C₂	—	2	2	no	—
512	C₂	—	4	1	no	—
513	C₂	—	8	1	no	—
514	C₂	C₁₁×#2322	1	1	yes	characteristic
515	C₂	C₂×C₁₁×#443	1	1	yes	characteristic
516	C₂	C₁₁×#2955	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	C₁₁×#525	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₁ ◁ C₂³×C₈×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₂×C₁₁×#424	C₂	semidirect
4. C₁₁×#1945	C₂	semidirect
5. C₁₁×#1937	C₂	semidirect
6. C₁₁×#1922	C₂	semidirect
8. C₁₁×#1866	C₂	semidirect
9. C₁₁×#1855	C₂	semidirect
10. C₁₁×#1826	C₂	semidirect
11. C₈×C₁₁×C₂²⋊C₄	C₂	semidirect
17. C₁₁×#485	C₄	semidirect
18. C₁₁×#484	C₄	semidirect
19. C₁₁×#483	C₄	semidirect
20. C₁₁×#482	C₄	semidirect
21. C₁₁×#481	C₄	semidirect
22. C₁₁×#480	C₄	semidirect
114. #22095	C₁₁	direct (N × H)
183. C₂×#424	C₂×C₁₁	semidirect
184. #1945	C₂×C₁₁	semidirect
185. #1937	C₂×C₁₁	semidirect
186. #1922	C₂×C₁₁	semidirect
188. #1866	C₂×C₁₁	semidirect
189. #1855	C₂×C₁₁	semidirect
190. #1826	C₂×C₁₁	semidirect
191. C₈×C₂²⋊C₄	C₂×C₁₁	semidirect
243. #485	C₄×C₁₁	semidirect
244. #484	C₄×C₁₁	semidirect
245. #483	C₄×C₁₁	semidirect
246. #482	C₄×C₁₁	semidirect
247. #481	C₄×C₁₁	semidirect
248. #480	C₄×C₁₁	semidirect
438. C₁₁	#22095	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×#3091	2
C₁₁×#2929	2
C₂×C₁₁×#424	2
C₁₁×#1945	2
C₁₁×#1937	2
C₁₁×#1922	2
C₁₁×#1871	2
C₁₁×#1866	2
C₁₁×#1855	2
C₁₁×#1826	2
C₈×C₁₁×C₂²⋊C₄	2
#22095	11

Subgroups — C11×#22095 #14599288

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#22095 #14599288