Subgroups — C₁₁×#60141 #14637334

Order 2816.

2862 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#568	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×C₁₁×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₁×#525	C₂	1	1	yes	maximal, characteristic
4	D₄×C₁₁×M₁₆	C₂	1	8	yes	maximal, complemented
5	C₁₁×#2933	C₂	1	8	yes	maximal, complemented
6	C₁₁×#2930	C₂	1	4	yes	maximal, complemented
7	C₁₁×#2929	C₂	1	4	yes	maximal, complemented
8	C₁₁×#2905	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2879	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₁×#407	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2873	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
13	C₂⁴×C₄×C₁₁	C₂²	1	1	yes	characteristic
14	C₁₁×#568	—	2	8	no	—
15	C₂×C₁₁×#131	C₂²	1	4	yes	complemented
16	C₂×C₁₁×#131	C₂²	1	4	yes	complemented
17	C₂²×C₁₁×M₁₆	—	2	8	no	—
18	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
19	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
20	C₂²×C₁₁×M₁₆	C₂²	1	4	yes	—
21	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
22	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
23	C₂²×C₁₁×M₁₆	C₂²	1	2	yes	complemented
24	C₂²×C₁₁×M₁₆	C₂²	1	4	yes	complemented
25	C₂²×C₁₁×M₁₆	C₂²	1	4	yes	complemented
26	C₂³×C₈×C₁₁	C₂²	1	2	yes	complemented
27	C₁₁×#525	C₄	1	2	yes	—
28	C₁₁×#525	C₄	1	4	yes	—
29	C₁₁×#525	C₄	1	2	yes	—
30	C₁₁×#525	C₂²	1	2	yes	—
31	C₁₁×#525	C₂²	1	2	yes	—
32	C₁₁×#525	C₂²	1	4	yes	—
33	C₂×C₁₁×#123	C₄	1	2	yes	—
34	C₂×C₁₁×C₂²⋊Q₈	C₄	1	2	yes	—
35	C₂×C₁₁×#121	C₄	1	2	yes	—
36	C₂×C₁₁×#120	C₄	1	2	yes	—
37	C₂×C₄×D₄×C₁₁	C₂²	1	4	yes	—
38	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
39	C₁₁×#436	C₂²	1	16	yes	complemented
40	C₁₁×#435	C₂²	1	16	yes	complemented
41	C₁₁×#435	C₂²	1	16	yes	complemented
42	C₈×D₄×C₁₁	C₂²	1	16	yes	complemented
43	C₁₁×#424	C₂²	1	4	yes	complemented
44	C₁₁×#424	C₂²	1	4	yes	complemented
45	C₁₁×#423	C₂²	1	4	yes	complemented
46	C₁₁×#408	C₂²	1	4	yes	complemented
47	C₁₁×#408	C₂²	1	4	yes	complemented
48	C₁₁×#407	C₂²	1	4	yes	—
49	C₁₁×#407	C₂²	1	2	yes	complemented
50	C₁₁×#407	C₂²	1	2	yes	complemented
51	C₁₁×#407	C₂²	1	4	yes	complemented
52	C₂×C₁₁×C₂²⋊C₈	C₂²	1	4	yes	complemented
53	C₁₁×#405	C₂²	1	4	yes	complemented
54	C₁₁×#405	C₂²	1	4	yes	complemented
55	C₄×C₁₁×M₁₆	C₂²	1	4	yes	complemented
56	C₂⁵×C₁₁	C₂×C₄	1	1	yes	characteristic
57	C₂×C₁₁×#41	—	2	4	no	—
58	C₂×C₁₁×#41	—	2	4	no	—
59	C₂×C₁₁×#41	C₂×C₄	1	2	yes	—
60	C₂×C₁₁×#41	C₂×C₄	1	2	yes	—
61	C₂×C₁₁×#41	C₂³	1	2	yes	—
62	C₂×C₁₁×#41	C₂³	1	2	yes	—
63	C₂²×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
64	C₂²×D₄×C₁₁	C₂×C₄	1	2	yes	—
65	C₂²×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
66	C₂²×D₄×C₁₁	C₂×C₄	1	4	yes	—
67	C₂³×C₄×C₁₁	—	2	4	no	—
68	C₂³×C₄×C₁₁	—	2	4	no	—
69	C₂³×C₄×C₁₁	C₂×C₄	1	2	yes	—
70	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
71	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
72	C₂³×C₄×C₁₁	C₂×C₄	1	2	yes	—
73	C₂³×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
74	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
75	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
76	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
77	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
78	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
79	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
80	C₁₁×#131	—	2	16	no	—
81	C₁₁×#131	—	2	16	no	—
82	C₂×C₁₁×M₁₆	—	2	4	no	—
83	C₂×C₁₁×M₁₆	—	2	4	no	—
84	C₂×C₁₁×M₁₆	—	2	4	no	—
85	C₂×C₁₁×M₁₆	—	2	16	no	—
86	C₂×C₁₁×M₁₆	—	2	16	no	—
87	C₂×C₁₁×M₁₆	—	2	16	no	—
88	C₂×C₁₁×M₁₆	—	2	8	no	—
89	C₂×C₁₁×M₁₆	D₄	1	8	yes	complemented
90	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
91	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
92	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
93	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
94	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
95	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
96	C₂×C₁₁×M₁₆	C₂³	1	8	yes	—
97	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
98	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
99	C₂×C₁₁×M₁₆	C₂³	1	8	yes	complemented
100	C₂²×C₈×C₁₁	—	2	8	no	—
101	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
102	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
103	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
104	C₂²×C₈×C₁₁	C₂³	1	8	yes	—
105	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
106	C₂²×C₈×C₁₁	C₂³	1	8	yes	complemented
107	C₁₁×#123	C₂×C₄	1	4	yes	—
108	C₁₁×#123	C₂×C₄	1	4	yes	—
109	C₁₁×#123	C₂×C₄	1	8	yes	—
110	C₁₁×C₂²⋊Q₈	C₂×C₄	1	4	yes	—
111	C₁₁×C₂²⋊Q₈	C₂×C₄	1	4	yes	—
112	C₁₁×C₂²⋊Q₈	C₂×C₄	1	4	yes	—
113	C₁₁×C₂²⋊Q₈	C₂×C₄	1	4	yes	—
114	C₁₁×#121	C₂×C₄	1	4	yes	—
115	C₁₁×#121	C₂×C₄	1	4	yes	—
116	C₁₁×#121	C₂×C₄	1	4	yes	—
117	C₁₁×#121	C₂×C₄	1	4	yes	—
118	C₁₁×#120	C₂×C₄	1	4	yes	—
119	C₁₁×#120	C₂×C₄	1	8	yes	—
120	C₁₁×#120	C₂×C₄	1	4	yes	—
121	C₄×D₄×C₁₁	C₂×C₄	1	8	yes	—
122	C₄×D₄×C₁₁	C₂×C₄	1	8	yes	—
123	C₄×D₄×C₁₁	C₂³	1	8	yes	—
124	C₄×D₄×C₁₁	C₂³	1	8	yes	—
125	C₁₁×#117	C₂×C₄	1	2	yes	—
126	C₁₁×#117	C₂×C₄	1	2	yes	—
127	C₁₁×#117	C₂³	1	2	yes	—
128	C₁₁×#117	C₂³	1	2	yes	—
129	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
130	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	4	yes	—
131	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	2	yes	—
132	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	4	yes	—
133	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	4	yes	—
134	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
135	C₁₁×C₄⋊C₈	C₂³	1	16	yes	complemented
136	C₁₁×C₂²⋊C₈	C₂³	1	8	yes	—
137	C₁₁×C₂²⋊C₈	C₂³	1	8	yes	—
138	C₁₁×C₂²⋊C₈	C₂³	1	16	yes	complemented
139	C₁₁×#97	C₂³	1	8	yes	complemented
140	C₄×C₈×C₁₁	C₂³	1	8	yes	complemented
141	#60141	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
142	C₂⁴×C₁₁	—	2	4	no	—
143	C₂⁴×C₁₁	—	4	4	no	—
144	C₂⁴×C₁₁	C₂²×C₄	1	1	yes	characteristic
145	C₂⁴×C₁₁	C₂²×C₄	1	2	yes	—
146	C₂⁴×C₁₁	C₂²×C₄	1	2	yes	—
147	C₂⁴×C₁₁	C₂²×C₄	1	2	yes	—
148	C₂⁴×C₁₁	C₂²×C₄	1	1	yes	characteristic
149	C₂⁴×C₁₁	C₂²×C₄	1	1	yes	characteristic
150	C₁₁×#41	—	2	8	no	—
151	C₁₁×#41	—	2	8	no	—
152	C₁₁×#41	—	2	4	no	—
153	C₁₁×#41	—	2	4	no	—
154	C₁₁×#41	—	2	4	no	—
155	C₁₁×#41	—	2	4	no	—
156	C₂×Q₈×C₁₁	—	2	4	no	—
157	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
158	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
159	C₂×D₄×C₁₁	—	2	8	no	—
160	C₂×D₄×C₁₁	—	2	4	no	—
161	C₂×D₄×C₁₁	—	4	8	no	—
162	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
163	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
164	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
165	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
166	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
167	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
168	C₂²×C₄×C₁₁	—	2	4	no	—
169	C₂²×C₄×C₁₁	—	2	8	no	—
170	C₂²×C₄×C₁₁	—	2	4	no	—
171	C₂²×C₄×C₁₁	—	2	4	no	—
172	C₂²×C₄×C₁₁	—	2	8	no	—
173	C₂²×C₄×C₁₁	—	2	2	no	—
174	C₂²×C₄×C₁₁	—	2	4	no	—
175	C₂²×C₄×C₁₁	—	2	4	no	—
176	C₂²×C₄×C₁₁	—	2	2	no	—
177	C₂²×C₄×C₁₁	—	2	4	no	—
178	C₂²×C₄×C₁₁	—	2	4	no	—
179	C₂²×C₄×C₁₁	—	2	4	no	—
180	C₂²×C₄×C₁₁	—	2	2	no	—
181	C₂²×C₄×C₁₁	—	2	2	no	—
182	C₂²×C₄×C₁₁	—	2	4	no	—
183	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
184	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
185	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
186	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
187	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
188	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
189	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
190	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
191	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
192	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
193	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
194	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
195	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
196	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
197	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
198	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
199	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
200	C₂²×C₄×C₁₁	#41	1	4	yes	—
201	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
202	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
203	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
204	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
205	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
206	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
207	C₁₁×M₁₆	—	2	16	no	—
208	C₁₁×M₁₆	—	2	16	no	—
209	C₁₁×M₁₆	—	2	4	no	—
210	C₁₁×M₁₆	—	2	4	no	—
211	C₁₁×M₁₆	—	2	4	no	—
212	C₁₁×M₁₆	—	2	4	no	—
213	C₁₁×M₁₆	—	2	4	no	—
214	C₁₁×M₁₆	—	2	4	no	—
215	C₁₁×M₁₆	C₂×D₄	1	8	yes	—
216	C₁₁×M₁₆	C₂×D₄	1	8	yes	complemented
217	C₂×C₈×C₁₁	—	2	16	no	—
218	C₂×C₈×C₁₁	—	2	16	no	—
219	C₂×C₈×C₁₁	—	2	4	no	—
220	C₂×C₈×C₁₁	—	2	4	no	—
221	C₂×C₈×C₁₁	—	2	4	no	—
222	C₂×C₈×C₁₁	C₂×D₄	1	8	yes	complemented
223	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
224	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
225	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
226	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
227	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
228	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
229	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
230	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
231	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
232	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
233	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
234	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
235	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
236	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
237	C₄²×C₁₁	C₂²×C₄	1	4	yes	—
238	C₄²×C₁₁	C₂⁴	1	4	yes	—
239	C₂×#568	C₂×C₁₁	1	1	yes	characteristic, complemented
240	C₂³×M₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
241	C₂×#525	C₂×C₁₁	1	1	yes	characteristic
242	D₄×M₁₆	C₂×C₁₁	1	8	yes	complemented
243	#2933	C₂×C₁₁	1	8	yes	complemented
244	#2930	C₂×C₁₁	1	4	yes	complemented
245	#2929	C₂×C₁₁	1	4	yes	complemented
246	#2905	C₂×C₁₁	1	1	yes	characteristic, complemented
247	#2879	C₂×C₁₁	1	1	yes	characteristic, complemented
248	C₂×#407	C₂×C₁₁	1	1	yes	characteristic, complemented
249	#2873	C₂×C₁₁	1	1	yes	characteristic, complemented
250	C₂³×C₁₁	—	2	2	no	—
251	C₂³×C₁₁	—	2	4	no	—
252	C₂³×C₁₁	—	2	4	no	—
253	C₂³×C₁₁	—	2	4	no	—
254	C₂³×C₁₁	—	2	2	no	—
255	C₂³×C₁₁	—	2	4	no	—
256	C₂³×C₁₁	—	2	4	no	—
257	C₂³×C₁₁	—	2	4	no	—
258	C₂³×C₁₁	—	4	2	no	—
259	C₂³×C₁₁	—	4	2	no	—
260	C₂³×C₁₁	—	4	2	no	—
261	C₂³×C₁₁	—	4	2	no	—
262	C₂³×C₁₁	—	4	4	no	—
263	C₂³×C₁₁	—	4	16	no	—
264	C₂³×C₁₁	C₄×D₄	1	4	yes	—
265	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
266	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
267	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
268	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
269	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
270	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
271	Q₈×C₁₁	—	2	4	no	—
272	Q₈×C₁₁	—	2	4	no	—
273	D₄×C₁₁	—	2	8	no	—
274	D₄×C₁₁	—	2	8	no	—
275	D₄×C₁₁	—	2	16	no	—
276	D₄×C₁₁	—	2	4	no	—
277	D₄×C₁₁	—	2	4	no	—
278	D₄×C₁₁	—	4	8	no	—
279	C₂×C₄×C₁₁	—	2	4	no	—
280	C₂×C₄×C₁₁	—	2	2	no	—
281	C₂×C₄×C₁₁	—	2	4	no	—
282	C₂×C₄×C₁₁	—	2	2	no	—
283	C₂×C₄×C₁₁	—	2	4	no	—
284	C₂×C₄×C₁₁	—	2	4	no	—
285	C₂×C₄×C₁₁	—	2	4	no	—
286	C₂×C₄×C₁₁	—	2	4	no	—
287	C₂×C₄×C₁₁	—	2	4	no	—
288	C₂×C₄×C₁₁	—	2	4	no	—
289	C₂×C₄×C₁₁	—	2	4	no	—
290	C₂×C₄×C₁₁	—	2	8	no	—
291	C₂×C₄×C₁₁	—	2	2	no	—
292	C₂×C₄×C₁₁	—	2	4	no	—
293	C₂×C₄×C₁₁	—	2	2	no	—
294	C₂×C₄×C₁₁	—	2	2	no	—
295	C₂×C₄×C₁₁	—	2	2	no	—
296	C₂×C₄×C₁₁	—	2	4	no	—
297	C₂×C₄×C₁₁	—	4	4	no	—
298	C₂×C₄×C₁₁	C₄×D₄	1	4	yes	—
299	C₂×C₄×C₁₁	C₄×D₄	1	4	yes	—
300	C₂×C₄×C₁₁	C₄×D₄	1	4	yes	—
301	C₂×C₄×C₁₁	C₂³×C₄	1	8	yes	—
302	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
303	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
304	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
305	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
306	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
307	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
308	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
309	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
310	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
311	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
312	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
313	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
314	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
315	C₈×C₁₁	—	2	4	no	—
316	C₈×C₁₁	—	2	4	no	—
317	C₈×C₁₁	—	2	4	no	—
318	C₈×C₁₁	C₂²×D₄	1	8	yes	—
319	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
320	C₂⁴×C₄	C₂²×C₁₁	1	1	yes	characteristic
321	#568	—	2	8	no	—
322	C₂×#131	C₂²×C₁₁	1	4	yes	complemented
323	C₂×#131	C₂²×C₁₁	1	4	yes	complemented
324	C₂²×M₁₆	—	2	8	no	—
325	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
326	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
327	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
328	C₂²×M₁₆	C₂²×C₁₁	1	4	yes	—
329	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
330	C₂²×M₁₆	C₂²×C₁₁	1	2	yes	complemented
331	C₂²×M₁₆	C₂²×C₁₁	1	4	yes	complemented
332	C₂²×M₁₆	C₂²×C₁₁	1	4	yes	complemented
333	C₂³×C₈	C₂²×C₁₁	1	2	yes	complemented
334	#525	C₄×C₁₁	1	2	yes	—
335	#525	C₄×C₁₁	1	4	yes	—
336	#525	C₄×C₁₁	1	2	yes	—
337	#525	C₂²×C₁₁	1	2	yes	—
338	#525	C₂²×C₁₁	1	2	yes	—
339	#525	C₂²×C₁₁	1	4	yes	—
340	C₂×#123	C₄×C₁₁	1	2	yes	—
341	C₂×C₂²⋊Q₈	C₄×C₁₁	1	2	yes	—
342	C₂×#121	C₄×C₁₁	1	2	yes	—
343	C₂×#120	C₄×C₁₁	1	2	yes	—
344	C₂×C₄×D₄	C₂²×C₁₁	1	4	yes	—
345	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
346	#436	C₂²×C₁₁	1	16	yes	complemented
347	#435	C₂²×C₁₁	1	16	yes	complemented
348	#435	C₂²×C₁₁	1	16	yes	complemented
349	C₈×D₄	C₂²×C₁₁	1	16	yes	complemented
350	#424	C₂²×C₁₁	1	4	yes	complemented
351	#424	C₂²×C₁₁	1	4	yes	complemented
352	#423	C₂²×C₁₁	1	4	yes	complemented
353	#408	C₂²×C₁₁	1	4	yes	complemented
354	#408	C₂²×C₁₁	1	4	yes	complemented
355	#407	C₂²×C₁₁	1	4	yes	—
356	#407	C₂²×C₁₁	1	2	yes	complemented
357	#407	C₂²×C₁₁	1	2	yes	complemented
358	#407	C₂²×C₁₁	1	4	yes	complemented
359	C₂×C₂²⋊C₈	C₂²×C₁₁	1	4	yes	complemented
360	#405	C₂²×C₁₁	1	4	yes	complemented
361	#405	C₂²×C₁₁	1	4	yes	complemented
362	C₄×M₁₆	C₂²×C₁₁	1	4	yes	complemented
363	C₂²×C₁₁	—	2	8	no	—
364	C₂²×C₁₁	—	2	2	no	—
365	C₂²×C₁₁	—	2	2	no	—
366	C₂²×C₁₁	—	2	2	no	—
367	C₂²×C₁₁	—	2	2	no	—
368	C₂²×C₁₁	—	2	2	no	—
369	C₂²×C₁₁	—	2	2	no	—
370	C₂²×C₁₁	—	2	4	no	—
371	C₂²×C₁₁	—	2	8	no	—
372	C₂²×C₁₁	—	2	2	no	—
373	C₂²×C₁₁	—	2	2	no	—
374	C₂²×C₁₁	—	4	4	no	—
375	C₂²×C₁₁	—	4	8	no	—
376	C₂²×C₁₁	—	4	8	no	—
377	C₂²×C₁₁	—	4	4	no	—
378	C₂²×C₁₁	—	8	4	no	—
379	C₂²×C₁₁	C₂×C₄×D₄	1	2	yes	—
380	C₂²×C₁₁	C₂×C₄×D₄	1	2	yes	—
381	C₂²×C₁₁	C₂×C₄×D₄	1	2	yes	—
382	C₂²×C₁₁	#568	1	4	yes	complemented
383	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
384	C₄×C₁₁	—	2	2	no	—
385	C₄×C₁₁	—	2	2	no	—
386	C₄×C₁₁	—	2	4	no	—
387	C₄×C₁₁	—	2	8	no	—
388	C₄×C₁₁	C₂×C₄×D₄	1	2	yes	—
389	C₄×C₁₁	C₂×C₄×D₄	1	2	yes	—
390	C₄×C₁₁	C₂×C₄×D₄	1	2	yes	—
391	C₄×C₁₁	C₂³×D₄	1	1	yes	characteristic
392	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
393	C₂⁵	C₂×C₄×C₁₁	1	1	yes	characteristic
394	C₂×#41	—	2	4	no	—
395	C₂×#41	—	2	4	no	—
396	C₂×#41	C₂×C₄×C₁₁	1	2	yes	—
397	C₂×#41	C₂×C₄×C₁₁	1	2	yes	—
398	C₂×#41	C₂³×C₁₁	1	2	yes	—
399	C₂×#41	C₂³×C₁₁	1	2	yes	—
400	C₂²×Q₈	C₂×C₄×C₁₁	1	1	yes	characteristic
401	C₂²×D₄	C₂×C₄×C₁₁	1	2	yes	—
402	C₂²×D₄	C₂×C₄×C₁₁	1	1	yes	characteristic
403	C₂²×D₄	C₂×C₄×C₁₁	1	4	yes	—
404	C₂³×C₄	—	2	4	no	—
405	C₂³×C₄	—	2	4	no	—
406	C₂³×C₄	C₂×C₄×C₁₁	1	2	yes	—
407	C₂³×C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
408	C₂³×C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
409	C₂³×C₄	C₂×C₄×C₁₁	1	2	yes	—
410	C₂³×C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
411	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
412	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
413	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
414	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
415	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
416	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
417	#131	—	2	16	no	—
418	#131	—	2	16	no	—
419	C₂×M₁₆	—	2	4	no	—
420	C₂×M₁₆	—	2	4	no	—
421	C₂×M₁₆	—	2	4	no	—
422	C₂×M₁₆	—	2	16	no	—
423	C₂×M₁₆	—	2	16	no	—
424	C₂×M₁₆	—	2	16	no	—
425	C₂×M₁₆	—	2	8	no	—
426	C₂×M₁₆	D₄×C₁₁	1	8	yes	complemented
427	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
428	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
429	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
430	C₂×M₁₆	C₂³×C₁₁	1	8	yes	—
431	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
432	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
433	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
434	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
435	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
436	C₂×M₁₆	C₂³×C₁₁	1	8	yes	complemented
437	C₂²×C₈	—	2	8	no	—
438	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
439	C₂²×C₈	C₂³×C₁₁	1	8	yes	—
440	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
441	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
442	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
443	C₂²×C₈	C₂³×C₁₁	1	8	yes	complemented
444	#123	C₂×C₄×C₁₁	1	4	yes	—
445	#123	C₂×C₄×C₁₁	1	4	yes	—
446	#123	C₂×C₄×C₁₁	1	8	yes	—
447	C₂²⋊Q₈	C₂×C₄×C₁₁	1	4	yes	—
448	C₂²⋊Q₈	C₂×C₄×C₁₁	1	4	yes	—
449	C₂²⋊Q₈	C₂×C₄×C₁₁	1	4	yes	—
450	C₂²⋊Q₈	C₂×C₄×C₁₁	1	4	yes	—
451	#121	C₂×C₄×C₁₁	1	4	yes	—
452	#121	C₂×C₄×C₁₁	1	4	yes	—
453	#121	C₂×C₄×C₁₁	1	4	yes	—
454	#121	C₂×C₄×C₁₁	1	4	yes	—
455	#120	C₂×C₄×C₁₁	1	4	yes	—
456	#120	C₂×C₄×C₁₁	1	8	yes	—
457	#120	C₂×C₄×C₁₁	1	4	yes	—
458	C₄×D₄	C₂×C₄×C₁₁	1	8	yes	—
459	C₄×D₄	C₂×C₄×C₁₁	1	8	yes	—
460	C₄×D₄	C₂³×C₁₁	1	8	yes	—
461	C₄×D₄	C₂³×C₁₁	1	8	yes	—
462	#117	C₂×C₄×C₁₁	1	2	yes	—
463	#117	C₂×C₄×C₁₁	1	2	yes	—
464	#117	C₂³×C₁₁	1	2	yes	—
465	#117	C₂³×C₁₁	1	2	yes	—
466	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
467	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	4	yes	—
468	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
469	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	4	yes	—
470	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	4	yes	—
471	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
472	C₄⋊C₈	C₂³×C₁₁	1	16	yes	complemented
473	C₂²⋊C₈	C₂³×C₁₁	1	8	yes	—
474	C₂²⋊C₈	C₂³×C₁₁	1	8	yes	—
475	C₂²⋊C₈	C₂³×C₁₁	1	16	yes	complemented
476	#97	C₂³×C₁₁	1	8	yes	complemented
477	C₄×C₈	C₂³×C₁₁	1	8	yes	complemented
478	C₂×C₁₁	—	2	2	no	—
479	C₂×C₁₁	—	2	4	no	—
480	C₂×C₁₁	—	2	2	no	—
481	C₂×C₁₁	—	2	2	no	—
482	C₂×C₁₁	—	4	2	no	—
483	C₂×C₁₁	—	4	4	no	—
484	C₂×C₁₁	C₂²×C₄×D₄	1	1	yes	characteristic
485	C₂×C₁₁	C₂×#568	1	2	yes	—
486	C₂⁴	—	2	4	no	—
487	C₂⁴	—	4	4	no	—
488	C₂⁴	C₂²×C₄×C₁₁	1	1	yes	characteristic
489	C₂⁴	C₂²×C₄×C₁₁	1	2	yes	—
490	C₂⁴	C₂²×C₄×C₁₁	1	2	yes	—
491	C₂⁴	C₂²×C₄×C₁₁	1	2	yes	—
492	C₂⁴	C₂²×C₄×C₁₁	1	1	yes	characteristic
493	C₂⁴	C₂²×C₄×C₁₁	1	1	yes	characteristic
494	#41	—	2	8	no	—
495	#41	—	2	8	no	—
496	#41	—	2	4	no	—
497	#41	—	2	4	no	—
498	#41	—	2	4	no	—
499	#41	—	2	4	no	—
500	C₂×Q₈	—	2	4	no	—
501	C₂×Q₈	C₂²×C₄×C₁₁	1	2	yes	—
502	C₂×Q₈	C₂²×C₄×C₁₁	1	2	yes	—
503	C₂×D₄	—	2	8	no	—
504	C₂×D₄	—	2	4	no	—
505	C₂×D₄	—	4	8	no	—
506	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
507	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
508	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
509	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
510	C₂×D₄	C₂²×C₄×C₁₁	1	2	yes	—
511	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
512	C₂²×C₄	—	2	4	no	—
513	C₂²×C₄	—	2	8	no	—
514	C₂²×C₄	—	2	4	no	—
515	C₂²×C₄	—	2	4	no	—
516	C₂²×C₄	—	2	8	no	—
517	C₂²×C₄	—	2	2	no	—
518	C₂²×C₄	—	2	4	no	—
519	C₂²×C₄	—	2	4	no	—
520	C₂²×C₄	—	2	2	no	—
521	C₂²×C₄	—	2	4	no	—
522	C₂²×C₄	—	2	4	no	—
523	C₂²×C₄	—	2	4	no	—
524	C₂²×C₄	—	2	2	no	—
525	C₂²×C₄	—	2	2	no	—
526	C₂²×C₄	—	2	4	no	—
527	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
528	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
529	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
530	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
531	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
532	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
533	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
534	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
535	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
536	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
537	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
538	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
539	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
540	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
541	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
542	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
543	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
544	C₂²×C₄	C₁₁×#41	1	4	yes	—
545	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
546	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
547	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
548	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
549	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
550	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
551	M₁₆	—	2	4	no	—
552	M₁₆	—	2	4	no	—
553	M₁₆	—	2	4	no	—
554	M₁₆	—	2	4	no	—
555	M₁₆	—	2	4	no	—
556	M₁₆	—	2	4	no	—
557	M₁₆	—	2	16	no	—
558	M₁₆	—	2	16	no	—
559	M₁₆	C₂×D₄×C₁₁	1	8	yes	—
560	M₁₆	C₂×D₄×C₁₁	1	8	yes	complemented
561	C₂×C₈	—	2	4	no	—
562	C₂×C₈	—	2	4	no	—
563	C₂×C₈	—	2	4	no	—
564	C₂×C₈	—	2	16	no	—
565	C₂×C₈	—	2	16	no	—
566	C₂×C₈	C₂×D₄×C₁₁	1	8	yes	complemented
567	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
568	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
569	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
570	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
571	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
572	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
573	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
574	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
575	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
576	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
577	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
578	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
579	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
580	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
581	C₄²	C₂²×C₄×C₁₁	1	4	yes	—
582	C₄²	C₂⁴×C₁₁	1	4	yes	—
583	C₁₁	#60141	1	1	yes	characteristic, direct product factor, Sylow
584	C₂³	—	2	2	no	—
585	C₂³	—	2	4	no	—
586	C₂³	—	2	4	no	—
587	C₂³	—	2	4	no	—
588	C₂³	—	2	2	no	—
589	C₂³	—	2	4	no	—
590	C₂³	—	2	4	no	—
591	C₂³	—	2	4	no	—
592	C₂³	—	4	2	no	—
593	C₂³	—	4	2	no	—
594	C₂³	—	4	2	no	—
595	C₂³	—	4	2	no	—
596	C₂³	—	4	4	no	—
597	C₂³	—	4	16	no	—
598	C₂³	C₄×D₄×C₁₁	1	4	yes	—
599	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
600	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
601	C₂³	C₂³×C₄×C₁₁	1	1	yes	characteristic
602	C₂³	C₂³×C₄×C₁₁	1	1	yes	characteristic
603	C₂³	C₂³×C₄×C₁₁	1	1	yes	characteristic
604	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
605	Q₈	—	2	4	no	—
606	Q₈	—	2	4	no	—
607	D₄	—	2	8	no	—
608	D₄	—	2	8	no	—
609	D₄	—	2	16	no	—
610	D₄	—	2	4	no	—
611	D₄	—	2	4	no	—
612	D₄	—	4	8	no	—
613	C₂×C₄	—	2	4	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	4	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	4	no	—
618	C₂×C₄	—	2	4	no	—
619	C₂×C₄	—	2	4	no	—
620	C₂×C₄	—	2	4	no	—
621	C₂×C₄	—	2	4	no	—
622	C₂×C₄	—	2	4	no	—
623	C₂×C₄	—	2	4	no	—
624	C₂×C₄	—	2	8	no	—
625	C₂×C₄	—	2	2	no	—
626	C₂×C₄	—	2	4	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	4	no	—
631	C₂×C₄	—	4	4	no	—
632	C₂×C₄	C₄×D₄×C₁₁	1	4	yes	—
633	C₂×C₄	C₄×D₄×C₁₁	1	4	yes	—
634	C₂×C₄	C₄×D₄×C₁₁	1	4	yes	—
635	C₂×C₄	C₂³×C₄×C₁₁	1	8	yes	—
636	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
637	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
638	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
639	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
640	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
641	C₂×C₄	C₂³×C₄×C₁₁	1	1	yes	characteristic
642	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
643	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
644	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
645	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
646	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
647	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
648	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
649	C₈	—	2	4	no	—
650	C₈	—	2	4	no	—
651	C₈	—	2	4	no	—
652	C₈	C₂²×D₄×C₁₁	1	8	yes	—
653	C₂²	—	2	8	no	—
654	C₂²	—	2	2	no	—
655	C₂²	—	2	2	no	—
656	C₂²	—	2	2	no	—
657	C₂²	—	2	2	no	—
658	C₂²	—	2	2	no	—
659	C₂²	—	2	2	no	—
660	C₂²	—	2	4	no	—
661	C₂²	—	2	8	no	—
662	C₂²	—	2	2	no	—
663	C₂²	—	2	2	no	—
664	C₂²	—	4	4	no	—
665	C₂²	—	4	8	no	—
666	C₂²	—	4	8	no	—
667	C₂²	—	4	4	no	—
668	C₂²	—	8	4	no	—
669	C₂²	C₂×C₄×D₄×C₁₁	1	2	yes	—
670	C₂²	C₂×C₄×D₄×C₁₁	1	2	yes	—
671	C₂²	C₂×C₄×D₄×C₁₁	1	2	yes	—
672	C₂²	C₁₁×#568	1	4	yes	complemented
673	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
674	C₄	—	2	2	no	—
675	C₄	—	2	2	no	—
676	C₄	—	2	4	no	—
677	C₄	—	2	8	no	—
678	C₄	C₂×C₄×D₄×C₁₁	1	2	yes	—
679	C₄	C₂×C₄×D₄×C₁₁	1	2	yes	—
680	C₄	C₂×C₄×D₄×C₁₁	1	2	yes	—
681	C₄	C₂³×D₄×C₁₁	1	1	yes	characteristic
682	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
683	C₂	—	2	2	no	—
684	C₂	—	2	4	no	—
685	C₂	—	2	2	no	—
686	C₂	—	2	2	no	—
687	C₂	—	4	2	no	—
688	C₂	—	4	4	no	—
689	C₂	C₂²×C₄×D₄×C₁₁	1	1	yes	characteristic
690	C₂	C₂×C₁₁×#568	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₁₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
socle	C₂²×C₁₁	C₂⁴×C₄
prime radical	C₂×C₁₁×#525	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₁×#568	C₂	semidirect
2. C₂³×C₁₁×M₁₆	C₂	semidirect
4. D₄×C₁₁×M₁₆	C₂	semidirect
5. C₁₁×#2933	C₂	semidirect
6. C₁₁×#2930	C₂	semidirect
7. C₁₁×#2929	C₂	semidirect
8. C₁₁×#2905	C₂	semidirect
9. C₁₁×#2879	C₂	semidirect
10. C₂×C₁₁×#407	C₂	semidirect
11. C₁₁×#2873	C₂	semidirect
15. C₂×C₁₁×#131	C₂²	semidirect
16. C₂×C₁₁×#131	C₂²	semidirect
23. C₂²×C₁₁×M₁₆	C₂²	semidirect
24. C₂²×C₁₁×M₁₆	C₂²	semidirect
25. C₂²×C₁₁×M₁₆	C₂²	semidirect
26. C₂³×C₈×C₁₁	C₂²	semidirect
39. C₁₁×#436	C₂²	semidirect
40. C₁₁×#435	C₂²	semidirect
41. C₁₁×#435	C₂²	semidirect
42. C₈×D₄×C₁₁	C₂²	semidirect
43. C₁₁×#424	C₂²	semidirect
44. C₁₁×#424	C₂²	semidirect
45. C₁₁×#423	C₂²	semidirect
46. C₁₁×#408	C₂²	semidirect
47. C₁₁×#408	C₂²	semidirect
49. C₁₁×#407	C₂²	semidirect
50. C₁₁×#407	C₂²	semidirect
51. C₁₁×#407	C₂²	semidirect
52. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
53. C₁₁×#405	C₂²	semidirect
54. C₁₁×#405	C₂²	semidirect
55. C₄×C₁₁×M₁₆	C₂²	semidirect
89. C₂×C₁₁×M₁₆	D₄	semidirect
99. C₂×C₁₁×M₁₆	C₂³	semidirect
106. C₂²×C₈×C₁₁	C₂³	semidirect
135. C₁₁×C₄⋊C₈	C₂³	semidirect
138. C₁₁×C₂²⋊C₈	C₂³	semidirect
139. C₁₁×#97	C₂³	semidirect
140. C₄×C₈×C₁₁	C₂³	semidirect
141. #60141	C₁₁	direct (N × H)
216. C₁₁×M₁₆	C₂×D₄	semidirect
222. C₂×C₈×C₁₁	C₂×D₄	semidirect
239. C₂×#568	C₂×C₁₁	semidirect
240. C₂³×M₁₆	C₂×C₁₁	semidirect
242. D₄×M₁₆	C₂×C₁₁	semidirect
243. #2933	C₂×C₁₁	semidirect
244. #2930	C₂×C₁₁	semidirect
245. #2929	C₂×C₁₁	semidirect
246. #2905	C₂×C₁₁	semidirect
247. #2879	C₂×C₁₁	semidirect
248. C₂×#407	C₂×C₁₁	semidirect
249. #2873	C₂×C₁₁	semidirect
322. C₂×#131	C₂²×C₁₁	semidirect
323. C₂×#131	C₂²×C₁₁	semidirect
330. C₂²×M₁₆	C₂²×C₁₁	semidirect
331. C₂²×M₁₆	C₂²×C₁₁	semidirect
332. C₂²×M₁₆	C₂²×C₁₁	semidirect
333. C₂³×C₈	C₂²×C₁₁	semidirect
346. #436	C₂²×C₁₁	semidirect
347. #435	C₂²×C₁₁	semidirect
348. #435	C₂²×C₁₁	semidirect
349. C₈×D₄	C₂²×C₁₁	semidirect
350. #424	C₂²×C₁₁	semidirect
351. #424	C₂²×C₁₁	semidirect
352. #423	C₂²×C₁₁	semidirect
353. #408	C₂²×C₁₁	semidirect
354. #408	C₂²×C₁₁	semidirect
356. #407	C₂²×C₁₁	semidirect
357. #407	C₂²×C₁₁	semidirect
358. #407	C₂²×C₁₁	semidirect
359. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
360. #405	C₂²×C₁₁	semidirect
361. #405	C₂²×C₁₁	semidirect
362. C₄×M₁₆	C₂²×C₁₁	semidirect
382. C₂²×C₁₁	#568	semidirect
426. C₂×M₁₆	D₄×C₁₁	semidirect
436. C₂×M₁₆	C₂³×C₁₁	semidirect
443. C₂²×C₈	C₂³×C₁₁	semidirect
472. C₄⋊C₈	C₂³×C₁₁	semidirect
475. C₂²⋊C₈	C₂³×C₁₁	semidirect
476. #97	C₂³×C₁₁	semidirect
477. C₄×C₈	C₂³×C₁₁	semidirect
560. M₁₆	C₂×D₄×C₁₁	semidirect
566. C₂×C₈	C₂×D₄×C₁₁	semidirect
583. C₁₁	#60141	direct (N × H)
672. C₂²	C₁₁×#568	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#568	2
C₂³×C₁₁×M₁₆	2
C₂×C₁₁×#525	2
D₄×C₁₁×M₁₆	2
C₁₁×#2933	2
C₁₁×#2930	2
C₁₁×#2929	2
C₁₁×#2905	2
C₁₁×#2879	2
C₂×C₁₁×#407	2
C₁₁×#2873	2
#60141	11

Subgroups — C11×#60141 #14637334

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60141 #14637334