Subgroups — C₂×C₁₁×#2933 #14637330

Order 2816.

2926 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

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

	subgroup	G/H
center	C₂²×C₄×C₁₁	C₂⁴
commutator	C₂²	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
socle	C₂³×C₁₁	C₂³×C₄
prime radical	C₂×C₁₁×#525	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₁×#131	C₂	semidirect
2. C₂³×C₁₁×M₁₆	C₂	semidirect
4. C₁₁×#2933	C₂	direct (N × H)
5. C₂×C₁₁×#436	C₂	semidirect
6. C₂×C₁₁×#435	C₂	semidirect
7. C₂×C₁₁×#435	C₂	semidirect
8. C₂×C₈×D₄×C₁₁	C₂	semidirect
9. C₂×C₁₁×#424	C₂	semidirect
10. C₂×C₁₁×#408	C₂	semidirect
11. C₂²×C₁₁×C₂²⋊C₈	C₂	semidirect
12. C₂×C₁₁×#405	C₂	semidirect
16. C₂×C₁₁×#131	C₂²	semidirect
21. C₂²×C₁₁×M₁₆	C₂²	semidirect
22. C₂²×C₁₁×M₁₆	C₂²	semidirect
26. C₂³×C₈×C₁₁	C₂²	semidirect
38. C₁₁×#436	C₂²	semidirect
39. C₁₁×#435	C₂²	semidirect
40. C₁₁×#435	C₂²	semidirect
41. C₈×D₄×C₁₁	C₂²	semidirect
42. C₁₁×#424	C₂²	semidirect
43. C₂×C₁₁×C₄⋊C₈	C₂²	semidirect
44. C₂×C₁₁×C₄⋊C₈	C₂²	semidirect
45. C₁₁×#408	C₂²	semidirect
50. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
51. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
52. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
53. C₁₁×#405	C₂²	semidirect
54. C₂×C₁₁×#97	C₂²	semidirect
55. C₂×C₄×C₈×C₁₁	C₂²	semidirect
82. C₂×C₁₁×M₁₆	D₄	semidirect
86. C₂×C₁₁×M₁₆	C₂³	semidirect
100. C₂²×C₈×C₁₁	C₂³	semidirect
123. C₁₁×C₄⋊C₈	C₂³	semidirect
124. C₁₁×C₄⋊C₈	C₂³	semidirect
129. C₁₁×C₂²⋊C₈	C₂³	semidirect
130. C₁₁×C₂²⋊C₈	C₂³	semidirect
131. C₁₁×#97	C₂³	semidirect
132. C₄×C₈×C₁₁	C₂³	semidirect
133. C₂×#2933	C₁₁	direct (N × H)
190. C₁₁×M₁₆	C₂×D₄	semidirect
218. C₂²×#131	C₂×C₁₁	semidirect
219. C₂³×M₁₆	C₂×C₁₁	semidirect
221. #2933	C₂×C₁₁	direct (N × H)
222. C₂×#436	C₂×C₁₁	semidirect
223. C₂×#435	C₂×C₁₁	semidirect
224. C₂×#435	C₂×C₁₁	semidirect
225. C₂×C₈×D₄	C₂×C₁₁	semidirect
226. C₂×#424	C₂×C₁₁	semidirect
227. C₂×#408	C₂×C₁₁	semidirect
228. C₂²×C₂²⋊C₈	C₂×C₁₁	semidirect
229. C₂×#405	C₂×C₁₁	semidirect
245. C₂³×C₁₁	#131	semidirect
296. C₂×#131	C₂²×C₁₁	semidirect
301. C₂²×M₁₆	C₂²×C₁₁	semidirect
302. C₂²×M₁₆	C₂²×C₁₁	semidirect
306. C₂³×C₈	C₂²×C₁₁	semidirect
318. #436	C₂²×C₁₁	semidirect
319. #435	C₂²×C₁₁	semidirect
320. #435	C₂²×C₁₁	semidirect
321. C₈×D₄	C₂²×C₁₁	semidirect
322. #424	C₂²×C₁₁	semidirect
323. C₂×C₄⋊C₈	C₂²×C₁₁	semidirect
324. C₂×C₄⋊C₈	C₂²×C₁₁	semidirect
325. #408	C₂²×C₁₁	semidirect
330. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
331. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
332. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
333. #405	C₂²×C₁₁	semidirect
334. C₂×#97	C₂²×C₁₁	semidirect
335. C₂×C₄×C₈	C₂²×C₁₁	semidirect
354. C₂²×C₁₁	C₂×#131	semidirect
392. C₂×M₁₆	D₄×C₁₁	semidirect
396. C₂×M₁₆	C₂³×C₁₁	semidirect
410. C₂²×C₈	C₂³×C₁₁	semidirect
433. C₄⋊C₈	C₂³×C₁₁	semidirect
434. C₄⋊C₈	C₂³×C₁₁	semidirect
439. C₂²⋊C₈	C₂³×C₁₁	semidirect
440. C₂²⋊C₈	C₂³×C₁₁	semidirect
441. #97	C₂³×C₁₁	semidirect
442. C₄×C₈	C₂³×C₁₁	semidirect
447. C₂×C₁₁	#2933	direct (N × H)
507. M₁₆	C₂×D₄×C₁₁	semidirect
535. C₁₁	C₂×#2933	direct (N × H)
551. C₂³	C₁₁×#131	semidirect
617. C₂²	C₂×C₁₁×#131	semidirect
633. C₂	C₁₁×#2933	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₁₁×#131	2
C₂³×C₁₁×M₁₆	2
C₂×C₁₁×#525	2
C₁₁×#2933	2
C₂×C₁₁×#436	2
C₂×C₁₁×#435	2
C₂×C₈×D₄×C₁₁	2
C₂×C₁₁×#424	2
C₂×C₁₁×#408	2
C₂²×C₁₁×C₂²⋊C₈	2
C₂×C₁₁×#405	2
C₂×#2933	11

Subgroups — C2×C11×#2933 #14637330

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₁×#2933 #14637330