Subgroups — C₁₁×#34238 #14611431

Order 2816.

2742 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₁×#123	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2374	C₂	1	4	yes	maximal, complemented
3	C₁₁×#2359	C₂	1	4	yes	maximal, complemented
4	C₁₁×#2345	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2342	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2342	C₂	1	2	yes	maximal, complemented
7	D₄×C₁₁×C₂²⋊C₄	C₂	1	2	yes	maximal
8	C₁₁×#2335	C₂	1	4	yes	maximal, complemented
9	C₁₁×#2313	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#2312	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×C₁₁×#123	C₂	1	4	yes	maximal, complemented
12	C₁₁×#2280	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2273	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₄×C₁₁×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
17	C₂⁴×C₄×C₁₁	C₂²	1	1	yes	characteristic
18	C₂×C₁₁×#123	C₄	1	16	yes	complemented
19	C₂×C₁₁×#123	C₂²	1	2	yes	—
20	C₂×C₁₁×#123	C₂²	1	2	yes	—
21	C₂×C₁₁×#123	C₂²	1	2	yes	—
22	C₂×C₁₁×#123	C₂²	1	2	yes	—
23	C₂×C₄×D₄×C₁₁	C₂²	1	4	yes	—
24	C₂×C₁₁×#117	C₂²	1	2	yes	—
25	C₂×C₁₁×#117	C₂²	1	2	yes	complemented
26	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
27	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
28	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
29	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
30	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
31	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
32	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
33	C₂²×C₄²×C₁₁	C₂²	1	2	yes	complemented
34	C₁₁×#390	C₂²	1	4	yes	—
35	C₁₁×#389	C₂²	1	4	yes	complemented
36	C₁₁×#388	C₂²	1	4	yes	complemented
37	C₁₁×#388	C₂²	1	4	yes	complemented
38	C₁₁×#388	C₂²	1	4	yes	complemented
39	C₁₁×#388	C₂²	1	4	yes	complemented
40	C₁₁×#388	C₂²	1	4	yes	complemented
41	C₁₁×#388	C₂²	1	4	yes	complemented
42	C₁₁×#387	C₂²	1	4	yes	complemented
43	C₁₁×#387	C₂²	1	4	yes	complemented
44	C₁₁×#387	C₂²	1	4	yes	complemented
45	C₁₁×#387	C₂²	1	4	yes	complemented
46	C₁₁×#386	C₂²	1	4	yes	—
47	C₁₁×#386	C₂²	1	4	yes	—
48	C₁₁×#385	C₂²	1	4	yes	complemented
49	C₁₁×#385	C₂²	1	4	yes	complemented
50	C₁₁×#381	C₂²	1	2	yes	—
51	C₁₁×#381	C₂²	1	2	yes	complemented
52	C₁₁×#380	C₂²	1	2	yes	—
53	C₁₁×#380	C₂²	1	2	yes	—
54	C₁₁×#380	C₂²	1	2	yes	—
55	C₁₁×#380	C₂²	1	2	yes	complemented
56	C₁₁×#379	C₂²	1	2	yes	—
57	C₁₁×#379	C₂²	1	2	yes	—
58	C₄×C₁₁×C₄⋊C₄	C₂²	1	4	yes	complemented
59	C₄×C₁₁×C₄⋊C₄	C₂²	1	4	yes	complemented
60	C₄×C₁₁×C₄⋊C₄	C₂²	1	4	yes	complemented
61	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
62	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
63	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
64	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
65	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
66	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
67	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
68	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
69	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
70	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	complemented
71	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	complemented
72	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
73	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	complemented
74	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	complemented
75	C₂×C₁₁×#95	C₂²	1	2	yes	complemented
76	C₂⁵×C₁₁	C₂³	1	1	yes	characteristic
77	C₂⁵×C₁₁	C₂³	1	1	yes	characteristic
78	C₂²×D₄×C₁₁	—	4	4	no	—
79	C₂²×D₄×C₁₁	C₂×C₄	1	8	yes	—
80	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
81	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
82	C₂³×C₄×C₁₁	—	4	4	no	—
83	C₂³×C₄×C₁₁	C₂×C₄	1	8	yes	complemented
84	C₂³×C₄×C₁₁	C₂³	1	4	yes	—
85	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
86	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
88	C₂³×C₄×C₁₁	C₂³	1	4	yes	—
89	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
90	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
91	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
92	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
93	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
94	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
95	C₁₁×#123	C₂×C₄	1	16	yes	complemented
96	C₁₁×#123	C₂×C₄	1	16	yes	complemented
97	C₁₁×#123	C₂×C₄	1	16	yes	complemented
98	C₁₁×#123	C₂×C₄	1	16	yes	complemented
99	C₄×D₄×C₁₁	—	4	8	no	—
100	C₁₁×#117	—	2	8	no	—
101	C₁₁×#117	—	4	4	no	—
102	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
103	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
104	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
105	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
106	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
107	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
108	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
109	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
110	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
111	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
112	C₂×C₁₁×C₂²⋊C₄	—	2	8	no	—
113	C₂×C₁₁×C₂²⋊C₄	—	2	8	no	—
114	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
115	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
116	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
117	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
118	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
119	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
120	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
121	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
122	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
123	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
124	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
125	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
126	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
127	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
128	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
129	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
130	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
131	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
132	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
133	C₂×C₄²×C₁₁	—	4	4	no	—
134	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
135	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
136	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
137	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
138	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
139	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
140	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
141	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
142	C₁₁×#95	C₂³	1	2	yes	—
143	C₁₁×#95	C₂³	1	4	yes	—
144	C₁₁×#95	C₂³	1	2	yes	—
145	C₁₁×#95	C₂³	1	2	yes	—
146	C₁₁×#95	C₂³	1	4	yes	—
147	C₁₁×#95	C₂³	1	2	yes	—
148	C₁₁×#95	C₂³	1	4	yes	—
149	C₁₁×#95	C₂³	1	4	yes	—
150	C₁₁×#95	C₂³	1	4	yes	—
151	C₁₁×#95	C₂³	1	4	yes	—
152	C₁₁×#95	C₂³	1	4	yes	—
153	C₁₁×#95	C₂³	1	4	yes	—
154	#34238	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
155	C₂⁴×C₁₁	—	2	4	no	—
156	C₂⁴×C₁₁	—	2	4	no	—
157	C₂⁴×C₁₁	—	2	4	no	—
158	C₂⁴×C₁₁	—	4	2	no	—
159	C₂⁴×C₁₁	—	4	2	no	—
160	C₂⁴×C₁₁	—	4	2	no	—
161	C₂⁴×C₁₁	C₂²×C₄	1	4	yes	—
162	C₂⁴×C₁₁	C₂²×C₄	1	4	yes	—
163	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
164	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
165	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
166	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
167	C₂×D₄×C₁₁	—	2	8	no	—
168	C₂×D₄×C₁₁	—	4	4	no	—
169	C₂×D₄×C₁₁	—	4	16	no	—
170	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
171	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
172	C₂²×C₄×C₁₁	—	2	4	no	—
173	C₂²×C₄×C₁₁	—	2	4	no	—
174	C₂²×C₄×C₁₁	—	2	4	no	—
175	C₂²×C₄×C₁₁	—	2	8	no	—
176	C₂²×C₄×C₁₁	—	2	8	no	—
177	C₂²×C₄×C₁₁	—	2	8	no	—
178	C₂²×C₄×C₁₁	—	4	16	no	—
179	C₂²×C₄×C₁₁	—	4	2	no	—
180	C₂²×C₄×C₁₁	—	4	2	no	—
181	C₂²×C₄×C₁₁	—	4	2	no	—
182	C₂²×C₄×C₁₁	—	4	2	no	—
183	C₂²×C₄×C₁₁	—	4	2	no	—
184	C₂²×C₄×C₁₁	—	4	4	no	—
185	C₂²×C₄×C₁₁	—	4	2	no	—
186	C₂²×C₄×C₁₁	—	4	4	no	—
187	C₂²×C₄×C₁₁	—	4	4	no	—
188	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
189	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
190	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
191	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
192	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
193	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
194	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
195	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
196	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
197	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
198	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
199	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
200	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
201	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
202	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
203	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
204	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
205	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
206	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
207	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
208	C₁₁×C₄⋊C₄	—	2	8	no	—
209	C₁₁×C₄⋊C₄	—	4	4	no	—
210	C₁₁×C₄⋊C₄	—	4	4	no	—
211	C₁₁×C₄⋊C₄	—	4	4	no	—
212	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
213	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
214	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
215	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
216	C₁₁×C₂²⋊C₄	—	2	4	no	—
217	C₁₁×C₂²⋊C₄	—	2	4	no	—
218	C₁₁×C₂²⋊C₄	—	2	4	no	—
219	C₁₁×C₂²⋊C₄	—	2	8	no	—
220	C₁₁×C₂²⋊C₄	—	2	8	no	—
221	C₁₁×C₂²⋊C₄	—	2	8	no	—
222	C₁₁×C₂²⋊C₄	—	4	4	no	—
223	C₁₁×C₂²⋊C₄	—	4	4	no	—
224	C₁₁×C₂²⋊C₄	—	4	4	no	—
225	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
226	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
227	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
228	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
229	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
230	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
231	C₁₁×C₂²⋊C₄	#41	1	8	yes	—
232	C₄²×C₁₁	—	2	8	no	—
233	C₄²×C₁₁	—	4	2	no	—
234	C₄²×C₁₁	—	4	4	no	—
235	C₄²×C₁₁	—	4	2	no	—
236	C₄²×C₁₁	—	4	4	no	—
237	C₄²×C₁₁	—	4	2	no	—
238	C₄²×C₁₁	—	4	2	no	—
239	C₄²×C₁₁	—	4	4	no	—
240	C₂²×#123	C₂×C₁₁	1	1	yes	characteristic
241	#2374	C₂×C₁₁	1	4	yes	complemented
242	#2359	C₂×C₁₁	1	4	yes	complemented
243	#2345	C₂×C₁₁	1	2	yes	complemented
244	#2342	C₂×C₁₁	1	2	yes	complemented
245	#2342	C₂×C₁₁	1	2	yes	complemented
246	D₄×C₂²⋊C₄	C₂×C₁₁	1	2	yes	—
247	#2335	C₂×C₁₁	1	4	yes	complemented
248	#2313	C₂×C₁₁	1	1	yes	characteristic, complemented
249	#2312	C₂×C₁₁	1	1	yes	characteristic, complemented
250	C₄×#123	C₂×C₁₁	1	4	yes	complemented
251	#2280	C₂×C₁₁	1	1	yes	characteristic, complemented
252	#2274	C₂×C₁₁	1	1	yes	characteristic, complemented
253	#2273	C₂×C₁₁	1	1	yes	characteristic, complemented
254	C₂×C₄×C₂²⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
255	C₂³×C₁₁	—	2	2	no	—
256	C₂³×C₁₁	—	2	2	no	—
257	C₂³×C₁₁	—	2	2	no	—
258	C₂³×C₁₁	—	2	2	no	—
259	C₂³×C₁₁	—	2	8	no	—
260	C₂³×C₁₁	—	2	8	no	—
261	C₂³×C₁₁	—	2	2	no	—
262	C₂³×C₁₁	—	2	2	no	—
263	C₂³×C₁₁	—	2	2	no	—
264	C₂³×C₁₁	—	2	4	no	—
265	C₂³×C₁₁	—	2	2	no	—
266	C₂³×C₁₁	—	2	2	no	—
267	C₂³×C₁₁	—	2	4	no	—
268	C₂³×C₁₁	—	2	8	no	—
269	C₂³×C₁₁	—	4	4	no	—
270	C₂³×C₁₁	—	4	4	no	—
271	C₂³×C₁₁	—	4	4	no	—
272	C₂³×C₁₁	—	4	16	no	—
273	C₂³×C₁₁	—	8	8	no	—
274	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
275	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
276	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
277	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
278	C₂³×C₁₁	C₂×#41	1	4	yes	—
279	C₂³×C₁₁	H(5,𝔽₂)	1	4	yes	—
280	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
281	D₄×C₁₁	—	2	16	no	—
282	D₄×C₁₁	—	4	8	no	—
283	C₂×C₄×C₁₁	—	2	8	no	—
284	C₂×C₄×C₁₁	—	2	8	no	—
285	C₂×C₄×C₁₁	—	2	8	no	—
286	C₂×C₄×C₁₁	—	2	2	no	—
287	C₂×C₄×C₁₁	—	2	2	no	—
288	C₂×C₄×C₁₁	—	2	4	no	—
289	C₂×C₄×C₁₁	—	2	2	no	—
290	C₂×C₄×C₁₁	—	2	2	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	4	no	—
295	C₂×C₄×C₁₁	—	2	4	no	—
296	C₂×C₄×C₁₁	—	2	4	no	—
297	C₂×C₄×C₁₁	—	2	4	no	—
298	C₂×C₄×C₁₁	—	2	4	no	—
299	C₂×C₄×C₁₁	—	2	4	no	—
300	C₂×C₄×C₁₁	—	2	4	no	—
301	C₂×C₄×C₁₁	—	2	4	no	—
302	C₂×C₄×C₁₁	—	2	4	no	—
303	C₂×C₄×C₁₁	—	2	4	no	—
304	C₂×C₄×C₁₁	—	2	4	no	—
305	C₂×C₄×C₁₁	—	4	4	no	—
306	C₂×C₄×C₁₁	—	4	4	no	—
307	C₂×C₄×C₁₁	—	4	4	no	—
308	C₂×C₄×C₁₁	—	4	4	no	—
309	C₂×C₄×C₁₁	—	4	4	no	—
310	C₂×C₄×C₁₁	—	4	4	no	—
311	C₂×C₄×C₁₁	—	4	16	no	—
312	C₂×C₄×C₁₁	—	8	8	no	—
313	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
314	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
315	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
316	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
317	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
318	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
319	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
320	C₂×C₄×C₁₁	C₂×#41	1	8	yes	—
321	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
322	C₂⁴×C₄	C₂²×C₁₁	1	1	yes	characteristic
323	C₂×#123	C₄×C₁₁	1	16	yes	complemented
324	C₂×#123	C₂²×C₁₁	1	2	yes	—
325	C₂×#123	C₂²×C₁₁	1	2	yes	—
326	C₂×#123	C₂²×C₁₁	1	2	yes	—
327	C₂×#123	C₂²×C₁₁	1	2	yes	—
328	C₂×C₄×D₄	C₂²×C₁₁	1	4	yes	—
329	C₂×#117	C₂²×C₁₁	1	2	yes	—
330	C₂×#117	C₂²×C₁₁	1	2	yes	complemented
331	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
332	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
333	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
334	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
335	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
336	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
337	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
338	C₂²×C₄²	C₂²×C₁₁	1	2	yes	complemented
339	#390	C₂²×C₁₁	1	4	yes	—
340	#389	C₂²×C₁₁	1	4	yes	complemented
341	#388	C₂²×C₁₁	1	4	yes	complemented
342	#388	C₂²×C₁₁	1	4	yes	complemented
343	#388	C₂²×C₁₁	1	4	yes	complemented
344	#388	C₂²×C₁₁	1	4	yes	complemented
345	#388	C₂²×C₁₁	1	4	yes	complemented
346	#388	C₂²×C₁₁	1	4	yes	complemented
347	#387	C₂²×C₁₁	1	4	yes	complemented
348	#387	C₂²×C₁₁	1	4	yes	complemented
349	#387	C₂²×C₁₁	1	4	yes	complemented
350	#387	C₂²×C₁₁	1	4	yes	complemented
351	#386	C₂²×C₁₁	1	4	yes	—
352	#386	C₂²×C₁₁	1	4	yes	—
353	#385	C₂²×C₁₁	1	4	yes	complemented
354	#385	C₂²×C₁₁	1	4	yes	complemented
355	#381	C₂²×C₁₁	1	2	yes	—
356	#381	C₂²×C₁₁	1	2	yes	complemented
357	#380	C₂²×C₁₁	1	2	yes	—
358	#380	C₂²×C₁₁	1	2	yes	—
359	#380	C₂²×C₁₁	1	2	yes	—
360	#380	C₂²×C₁₁	1	2	yes	complemented
361	#379	C₂²×C₁₁	1	2	yes	—
362	#379	C₂²×C₁₁	1	2	yes	—
363	C₄×C₄⋊C₄	C₂²×C₁₁	1	4	yes	complemented
364	C₄×C₄⋊C₄	C₂²×C₁₁	1	4	yes	complemented
365	C₄×C₄⋊C₄	C₂²×C₁₁	1	4	yes	complemented
366	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
367	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
368	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
369	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
370	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
371	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
372	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
373	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
374	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	complemented
375	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	complemented
376	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	complemented
377	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	complemented
378	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
379	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
380	C₂×#95	C₂²×C₁₁	1	2	yes	complemented
381	C₂²×C₁₁	—	2	2	no	—
382	C₂²×C₁₁	—	2	2	no	—
383	C₂²×C₁₁	—	2	2	no	—
384	C₂²×C₁₁	—	2	2	no	—
385	C₂²×C₁₁	—	2	8	no	—
386	C₂²×C₁₁	—	2	8	no	—
387	C₂²×C₁₁	—	2	2	no	—
388	C₂²×C₁₁	—	2	4	no	—
389	C₂²×C₁₁	—	2	2	no	—
390	C₂²×C₁₁	—	2	4	no	—
391	C₂²×C₁₁	—	2	2	no	—
392	C₂²×C₁₁	—	2	4	no	—
393	C₂²×C₁₁	—	4	16	no	—
394	C₂²×C₁₁	—	4	4	no	—
395	C₂²×C₁₁	—	4	4	no	—
396	C₂²×C₁₁	—	4	4	no	—
397	C₂²×C₁₁	—	8	8	no	—
398	C₂²×C₁₁	C₄×#41	1	4	yes	—
399	C₂²×C₁₁	#518	1	4	yes	—
400	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
401	C₂²×C₁₁	C₂²×#41	1	2	yes	—
402	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
403	C₂²×C₁₁	#585	1	2	yes	—
404	C₄×C₁₁	—	2	4	no	—
405	C₄×C₁₁	—	2	2	no	—
406	C₄×C₁₁	—	2	2	no	—
407	C₄×C₁₁	—	2	2	no	—
408	C₄×C₁₁	—	2	2	no	—
409	C₄×C₁₁	—	2	4	no	—
410	C₄×C₁₁	—	2	4	no	—
411	C₄×C₁₁	—	2	8	no	—
412	C₄×C₁₁	—	4	4	no	—
413	C₄×C₁₁	—	4	4	no	—
414	C₄×C₁₁	—	4	4	no	—
415	C₂⁵	C₂³×C₁₁	1	1	yes	characteristic
416	C₂⁵	C₂³×C₁₁	1	1	yes	characteristic
417	C₂²×D₄	—	4	4	no	—
418	C₂²×D₄	C₂×C₄×C₁₁	1	8	yes	—
419	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
420	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
421	C₂³×C₄	—	4	4	no	—
422	C₂³×C₄	C₂×C₄×C₁₁	1	8	yes	complemented
423	C₂³×C₄	C₂³×C₁₁	1	4	yes	—
424	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
425	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
426	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
427	C₂³×C₄	C₂³×C₁₁	1	4	yes	—
428	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
429	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
430	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
431	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
432	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
433	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
434	#123	C₂×C₄×C₁₁	1	16	yes	complemented
435	#123	C₂×C₄×C₁₁	1	16	yes	complemented
436	#123	C₂×C₄×C₁₁	1	16	yes	complemented
437	#123	C₂×C₄×C₁₁	1	16	yes	complemented
438	C₄×D₄	—	4	8	no	—
439	#117	—	2	8	no	—
440	#117	—	4	4	no	—
441	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	8	yes	complemented
442	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	8	yes	complemented
443	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
444	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
445	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
446	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
447	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
448	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
449	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
450	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
451	C₂×C₂²⋊C₄	—	2	8	no	—
452	C₂×C₂²⋊C₄	—	2	8	no	—
453	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	8	yes	complemented
454	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	8	yes	complemented
455	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	8	yes	complemented
456	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
457	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
458	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
459	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
460	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
461	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
462	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
463	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
464	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
465	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
466	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
467	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
468	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
469	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
470	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
471	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
472	C₂×C₄²	—	4	4	no	—
473	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
474	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
475	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
476	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
477	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
478	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
479	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
480	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
481	#95	C₂³×C₁₁	1	2	yes	—
482	#95	C₂³×C₁₁	1	4	yes	—
483	#95	C₂³×C₁₁	1	2	yes	—
484	#95	C₂³×C₁₁	1	2	yes	—
485	#95	C₂³×C₁₁	1	4	yes	—
486	#95	C₂³×C₁₁	1	2	yes	—
487	#95	C₂³×C₁₁	1	4	yes	—
488	#95	C₂³×C₁₁	1	4	yes	—
489	#95	C₂³×C₁₁	1	4	yes	—
490	#95	C₂³×C₁₁	1	4	yes	—
491	#95	C₂³×C₁₁	1	4	yes	—
492	#95	C₂³×C₁₁	1	4	yes	—
493	C₂×C₁₁	—	2	4	no	—
494	C₂×C₁₁	—	2	4	no	—
495	C₂×C₁₁	—	4	2	no	—
496	C₂×C₁₁	—	4	4	no	—
497	C₂×C₁₁	C₂×C₄×#41	1	1	yes	characteristic
498	C₂×C₁₁	C₂×#518	1	1	yes	characteristic
499	C₂×C₁₁	#3428	1	1	yes	characteristic
500	C₂×C₁₁	#3513	1	4	yes	—
501	C₂⁴	—	2	4	no	—
502	C₂⁴	—	2	4	no	—
503	C₂⁴	—	2	4	no	—
504	C₂⁴	—	4	2	no	—
505	C₂⁴	—	4	2	no	—
506	C₂⁴	—	4	2	no	—
507	C₂⁴	C₂²×C₄×C₁₁	1	4	yes	—
508	C₂⁴	C₂²×C₄×C₁₁	1	4	yes	—
509	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
510	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
511	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
512	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
513	C₂×D₄	—	2	8	no	—
514	C₂×D₄	—	4	4	no	—
515	C₂×D₄	—	4	16	no	—
516	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
517	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
518	C₂²×C₄	—	2	4	no	—
519	C₂²×C₄	—	2	4	no	—
520	C₂²×C₄	—	2	4	no	—
521	C₂²×C₄	—	2	8	no	—
522	C₂²×C₄	—	2	8	no	—
523	C₂²×C₄	—	2	8	no	—
524	C₂²×C₄	—	4	16	no	—
525	C₂²×C₄	—	4	2	no	—
526	C₂²×C₄	—	4	2	no	—
527	C₂²×C₄	—	4	2	no	—
528	C₂²×C₄	—	4	2	no	—
529	C₂²×C₄	—	4	2	no	—
530	C₂²×C₄	—	4	2	no	—
531	C₂²×C₄	—	4	4	no	—
532	C₂²×C₄	—	4	4	no	—
533	C₂²×C₄	—	4	4	no	—
534	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
535	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
536	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
537	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
538	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
539	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
540	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
541	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
542	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
543	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
544	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
545	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
546	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
547	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
548	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
549	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
550	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
551	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
552	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
553	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
554	C₄⋊C₄	—	2	8	no	—
555	C₄⋊C₄	—	4	4	no	—
556	C₄⋊C₄	—	4	4	no	—
557	C₄⋊C₄	—	4	4	no	—
558	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
559	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
560	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
561	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
562	C₂²⋊C₄	—	2	4	no	—
563	C₂²⋊C₄	—	2	4	no	—
564	C₂²⋊C₄	—	2	4	no	—
565	C₂²⋊C₄	—	2	8	no	—
566	C₂²⋊C₄	—	2	8	no	—
567	C₂²⋊C₄	—	2	8	no	—
568	C₂²⋊C₄	—	4	4	no	—
569	C₂²⋊C₄	—	4	4	no	—
570	C₂²⋊C₄	—	4	4	no	—
571	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
572	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
573	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
574	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
575	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
576	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
577	C₂²⋊C₄	C₁₁×#41	1	8	yes	—
578	C₄²	—	2	8	no	—
579	C₄²	—	4	2	no	—
580	C₄²	—	4	4	no	—
581	C₄²	—	4	2	no	—
582	C₄²	—	4	2	no	—
583	C₄²	—	4	2	no	—
584	C₄²	—	4	4	no	—
585	C₄²	—	4	4	no	—
586	C₁₁	#34238	1	1	yes	characteristic, direct product factor, Sylow
587	C₂³	—	2	2	no	—
588	C₂³	—	2	2	no	—
589	C₂³	—	2	2	no	—
590	C₂³	—	2	2	no	—
591	C₂³	—	2	8	no	—
592	C₂³	—	2	8	no	—
593	C₂³	—	2	2	no	—
594	C₂³	—	2	2	no	—
595	C₂³	—	2	2	no	—
596	C₂³	—	2	4	no	—
597	C₂³	—	2	2	no	—
598	C₂³	—	2	2	no	—
599	C₂³	—	2	4	no	—
600	C₂³	—	2	8	no	—
601	C₂³	—	4	4	no	—
602	C₂³	—	4	4	no	—
603	C₂³	—	4	4	no	—
604	C₂³	—	4	16	no	—
605	C₂³	—	8	8	no	—
606	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
607	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
608	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
609	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
610	C₂³	C₂×C₁₁×#41	1	4	yes	—
611	C₂³	C₁₁×H(5,𝔽₂)	1	4	yes	—
612	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
613	D₄	—	2	16	no	—
614	D₄	—	4	8	no	—
615	C₂×C₄	—	2	8	no	—
616	C₂×C₄	—	2	8	no	—
617	C₂×C₄	—	2	8	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	4	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	2	no	—
624	C₂×C₄	—	2	4	no	—
625	C₂×C₄	—	2	2	no	—
626	C₂×C₄	—	2	4	no	—
627	C₂×C₄	—	2	4	no	—
628	C₂×C₄	—	2	4	no	—
629	C₂×C₄	—	2	4	no	—
630	C₂×C₄	—	2	4	no	—
631	C₂×C₄	—	2	4	no	—
632	C₂×C₄	—	2	4	no	—
633	C₂×C₄	—	2	4	no	—
634	C₂×C₄	—	2	4	no	—
635	C₂×C₄	—	2	4	no	—
636	C₂×C₄	—	2	4	no	—
637	C₂×C₄	—	4	4	no	—
638	C₂×C₄	—	4	4	no	—
639	C₂×C₄	—	4	4	no	—
640	C₂×C₄	—	4	4	no	—
641	C₂×C₄	—	4	4	no	—
642	C₂×C₄	—	4	4	no	—
643	C₂×C₄	—	4	16	no	—
644	C₂×C₄	—	8	8	no	—
645	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
646	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
647	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
648	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
649	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
650	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
651	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
652	C₂×C₄	C₂×C₁₁×#41	1	8	yes	—
653	C₂²	—	2	2	no	—
654	C₂²	—	2	2	no	—
655	C₂²	—	2	2	no	—
656	C₂²	—	2	2	no	—
657	C₂²	—	2	8	no	—
658	C₂²	—	2	8	no	—
659	C₂²	—	2	2	no	—
660	C₂²	—	2	4	no	—
661	C₂²	—	2	2	no	—
662	C₂²	—	2	4	no	—
663	C₂²	—	2	2	no	—
664	C₂²	—	2	4	no	—
665	C₂²	—	4	16	no	—
666	C₂²	—	4	4	no	—
667	C₂²	—	4	4	no	—
668	C₂²	—	4	4	no	—
669	C₂²	—	8	8	no	—
670	C₂²	C₄×C₁₁×#41	1	4	yes	—
671	C₂²	C₁₁×#518	1	4	yes	—
672	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
673	C₂²	C₂²×C₁₁×#41	1	2	yes	—
674	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
675	C₂²	C₁₁×#585	1	2	yes	—
676	C₄	—	2	4	no	—
677	C₄	—	2	2	no	—
678	C₄	—	2	2	no	—
679	C₄	—	2	2	no	—
680	C₄	—	2	2	no	—
681	C₄	—	2	4	no	—
682	C₄	—	2	4	no	—
683	C₄	—	2	8	no	—
684	C₄	—	4	4	no	—
685	C₄	—	4	4	no	—
686	C₄	—	4	4	no	—
687	C₂	—	2	4	no	—
688	C₂	—	2	4	no	—
689	C₂	—	4	2	no	—
690	C₂	—	4	4	no	—
691	C₂	C₂×C₄×C₁₁×#41	1	1	yes	characteristic
692	C₂	C₂×C₁₁×#518	1	1	yes	characteristic
693	C₂	C₁₁×#3428	1	1	yes	characteristic
694	C₂	C₁₁×#3513	1	4	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂³×D₄×C₁₁	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#2374	C₂	semidirect
3. C₁₁×#2359	C₂	semidirect
4. C₁₁×#2345	C₂	semidirect
5. C₁₁×#2342	C₂	semidirect
6. C₁₁×#2342	C₂	semidirect
8. C₁₁×#2335	C₂	semidirect
9. C₁₁×#2313	C₂	semidirect
10. C₁₁×#2312	C₂	semidirect
11. C₄×C₁₁×#123	C₂	semidirect
12. C₁₁×#2280	C₂	semidirect
13. C₁₁×#2274	C₂	semidirect
14. C₁₁×#2273	C₂	semidirect
15. C₂×C₄×C₁₁×C₂²⋊C₄	C₂	semidirect
18. C₂×C₁₁×#123	C₄	semidirect
25. C₂×C₁₁×#117	C₂²	semidirect
33. C₂²×C₄²×C₁₁	C₂²	semidirect
35. C₁₁×#389	C₂²	semidirect
36. C₁₁×#388	C₂²	semidirect
37. C₁₁×#388	C₂²	semidirect
38. C₁₁×#388	C₂²	semidirect
39. C₁₁×#388	C₂²	semidirect
40. C₁₁×#388	C₂²	semidirect
41. C₁₁×#388	C₂²	semidirect
42. C₁₁×#387	C₂²	semidirect
43. C₁₁×#387	C₂²	semidirect
44. C₁₁×#387	C₂²	semidirect
45. C₁₁×#387	C₂²	semidirect
48. C₁₁×#385	C₂²	semidirect
49. C₁₁×#385	C₂²	semidirect
51. C₁₁×#381	C₂²	semidirect
55. C₁₁×#380	C₂²	semidirect
58. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
59. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
60. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
68. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
69. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
70. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
71. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
72. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
73. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
74. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
75. C₂×C₁₁×#95	C₂²	semidirect
83. C₂³×C₄×C₁₁	C₂×C₄	semidirect
95. C₁₁×#123	C₂×C₄	semidirect
96. C₁₁×#123	C₂×C₄	semidirect
97. C₁₁×#123	C₂×C₄	semidirect
98. C₁₁×#123	C₂×C₄	semidirect
102. C₂×C₁₁×C₄⋊C₄	C₂×C₄	semidirect
103. C₂×C₁₁×C₄⋊C₄	C₂×C₄	semidirect
114. C₂×C₁₁×C₂²⋊C₄	C₂×C₄	semidirect
115. C₂×C₁₁×C₂²⋊C₄	C₂×C₄	semidirect
116. C₂×C₁₁×C₂²⋊C₄	C₂×C₄	semidirect
154. #34238	C₁₁	direct (N × H)
241. #2374	C₂×C₁₁	semidirect
242. #2359	C₂×C₁₁	semidirect
243. #2345	C₂×C₁₁	semidirect
244. #2342	C₂×C₁₁	semidirect
245. #2342	C₂×C₁₁	semidirect
247. #2335	C₂×C₁₁	semidirect
248. #2313	C₂×C₁₁	semidirect
249. #2312	C₂×C₁₁	semidirect
250. C₄×#123	C₂×C₁₁	semidirect
251. #2280	C₂×C₁₁	semidirect
252. #2274	C₂×C₁₁	semidirect
253. #2273	C₂×C₁₁	semidirect
254. C₂×C₄×C₂²⋊C₄	C₂×C₁₁	semidirect
323. C₂×#123	C₄×C₁₁	semidirect
330. C₂×#117	C₂²×C₁₁	semidirect
338. C₂²×C₄²	C₂²×C₁₁	semidirect
340. #389	C₂²×C₁₁	semidirect
341. #388	C₂²×C₁₁	semidirect
342. #388	C₂²×C₁₁	semidirect
343. #388	C₂²×C₁₁	semidirect
344. #388	C₂²×C₁₁	semidirect
345. #388	C₂²×C₁₁	semidirect
346. #388	C₂²×C₁₁	semidirect
347. #387	C₂²×C₁₁	semidirect
348. #387	C₂²×C₁₁	semidirect
349. #387	C₂²×C₁₁	semidirect
350. #387	C₂²×C₁₁	semidirect
353. #385	C₂²×C₁₁	semidirect
354. #385	C₂²×C₁₁	semidirect
356. #381	C₂²×C₁₁	semidirect
360. #380	C₂²×C₁₁	semidirect
363. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
364. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
365. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
373. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
374. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
375. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
376. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
377. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
378. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
379. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
380. C₂×#95	C₂²×C₁₁	semidirect
422. C₂³×C₄	C₂×C₄×C₁₁	semidirect
434. #123	C₂×C₄×C₁₁	semidirect
435. #123	C₂×C₄×C₁₁	semidirect
436. #123	C₂×C₄×C₁₁	semidirect
437. #123	C₂×C₄×C₁₁	semidirect
441. C₂×C₄⋊C₄	C₂×C₄×C₁₁	semidirect
442. C₂×C₄⋊C₄	C₂×C₄×C₁₁	semidirect
453. C₂×C₂²⋊C₄	C₂×C₄×C₁₁	semidirect
454. C₂×C₂²⋊C₄	C₂×C₄×C₁₁	semidirect
455. C₂×C₂²⋊C₄	C₂×C₄×C₁₁	semidirect
586. C₁₁	#34238	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×#123	2
C₁₁×#2374	2
C₁₁×#2359	2
C₁₁×#2345	2
C₁₁×#2342	2
D₄×C₁₁×C₂²⋊C₄	2
C₁₁×#2335	2
C₁₁×#2313	2
C₁₁×#2312	2
C₄×C₁₁×#123	2
C₁₁×#2280	2
C₁₁×#2274	2
C₁₁×#2273	2
C₂×C₄×C₁₁×C₂²⋊C₄	2
#34238	11

Subgroups — C11×#34238 #14611431

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#34238 #14611431