Subgroups — C₁₁×#34411 #14611604

Order 2816.

2766 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#535	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2380	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2375	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2366	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2363	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2361	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2358	C₂	1	2	yes	maximal, complemented
8	C₁₁×#2347	C₂	1	2	yes	maximal, complemented
9	D₄×C₁₁×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2337	C₂	1	4	yes	maximal, complemented
11	C₁₁×#2324	C₂	1	2	yes	maximal, complemented
12	C₁₁×#2321	C₂	1	4	yes	maximal, complemented
13	C₁₁×#2311	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₁₁×#121	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2297	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
17	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
18	C₁₁×#535	C₄	1	16	yes	complemented
19	C₂×C₁₁×#127	C₂²	1	2	yes	—
20	C₂×C₁₁×#124	C₂²	1	2	yes	—
21	C₂×C₁₁×#121	C₂²	1	2	yes	—
22	C₂×C₁₁×#121	C₂²	1	2	yes	—
23	C₂×C₁₁×#120	C₂²	1	2	yes	—
24	C₂×C₁₁×#120	C₂²	1	2	yes	—
25	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
26	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
27	C₂×C₄×D₄×C₁₁	C₂²	1	4	yes	complemented
28	C₂×C₄×D₄×C₁₁	C₂²	1	4	yes	complemented
29	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
32	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	—
34	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic, complemented
35	C₁₁×#391	C₂²	1	2	yes	complemented
36	C₁₁×#391	C₂²	1	2	yes	complemented
37	C₁₁×#390	C₂²	1	2	yes	—
38	C₁₁×#390	C₂²	1	2	yes	—
39	C₁₁×#390	C₂²	1	2	yes	—
40	C₁₁×#390	C₂²	1	2	yes	—
41	C₁₁×#390	C₂²	1	4	yes	complemented
42	C₁₁×#390	C₂²	1	4	yes	complemented
43	C₁₁×#389	C₂²	1	2	yes	complemented
44	C₁₁×#389	C₂²	1	2	yes	complemented
45	C₁₁×#388	C₂²	1	4	yes	—
46	C₁₁×#388	C₂²	1	4	yes	—
47	C₁₁×#388	C₂²	1	4	yes	complemented
48	C₁₁×#388	C₂²	1	4	yes	complemented
49	C₁₁×#388	C₂²	1	4	yes	complemented
50	C₁₁×#388	C₂²	1	4	yes	complemented
51	C₁₁×#386	C₂²	1	4	yes	—
52	C₁₁×#386	C₂²	1	1	yes	characteristic
53	C₁₁×#386	C₂²	1	1	yes	characteristic
54	C₁₁×#386	C₂²	1	2	yes	—
55	C₁₁×#386	C₂²	1	4	yes	—
56	C₁₁×#386	C₂²	1	1	yes	characteristic, complemented
57	C₁₁×#386	C₂²	1	4	yes	complemented
58	C₁₁×#386	C₂²	1	2	yes	complemented
59	C₁₁×#386	C₂²	1	4	yes	complemented
60	C₁₁×#386	C₂²	1	4	yes	complemented
61	C₁₁×#386	C₂²	1	4	yes	complemented
62	C₁₁×#386	C₂²	1	1	yes	characteristic, complemented
63	C₁₁×#385	C₂²	1	4	yes	complemented
64	C₁₁×#385	C₂²	1	4	yes	complemented
65	C₁₁×#383	C₂²	1	4	yes	complemented
66	C₁₁×#380	C₂²	1	2	yes	—
67	C₁₁×#380	C₂²	1	2	yes	complemented
68	C₁₁×#379	C₂²	1	4	yes	—
69	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
70	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
71	C₄×C₁₁×C₄⋊C₄	C₂²	1	4	yes	complemented
72	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
73	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
74	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	complemented
75	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	complemented
76	C₂⁵×C₁₁	C₂³	1	2	yes	—
77	C₂×C₁₁×#41	—	4	2	no	—
78	C₂×C₁₁×#41	—	4	2	no	—
79	C₂×C₁₁×#41	C₂×C₄	1	8	yes	complemented
80	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
81	C₂²×D₄×C₁₁	—	4	2	no	—
82	C₂²×D₄×C₁₁	—	4	2	no	—
83	C₂²×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
84	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
85	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
86	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
87	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
88	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
89	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
90	C₂²×D₄×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	C₂³×C₄×C₁₁	C₂³	1	4	yes	—
96	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
97	C₂³×C₄×C₁₁	C₂³	1	4	yes	—
98	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
99	C₁₁×#127	C₂×C₄	1	16	yes	complemented
100	C₁₁×#124	C₂×C₄	1	16	yes	complemented
101	C₁₁×#121	C₂×C₄	1	16	yes	complemented
102	C₁₁×#121	C₂×C₄	1	16	yes	complemented
103	C₁₁×#120	C₂×C₄	1	16	yes	complemented
104	C₁₁×#120	C₂×C₄	1	16	yes	complemented
105	C₄×D₄×C₁₁	—	4	4	no	—
106	C₄×D₄×C₁₁	—	4	4	no	—
107	C₄×D₄×C₁₁	—	4	8	no	—
108	C₄×D₄×C₁₁	—	4	8	no	—
109	C₁₁×#117	—	4	2	no	—
110	C₁₁×#117	—	4	2	no	—
111	C₁₁×#117	C₂×C₄	1	8	yes	complemented
112	C₂×C₁₁×C₄⋊C₄	—	4	2	no	—
113	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
114	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
115	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
116	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
117	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
118	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
119	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
120	C₂×C₁₁×C₂²⋊C₄	—	4	8	no	—
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	2	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	1	yes	characteristic
127	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
128	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
129	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
130	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
131	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
132	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
133	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
134	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
135	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
136	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
137	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
138	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
139	C₂×C₄²×C₁₁	—	4	2	no	—
140	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
141	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
142	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
143	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
144	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
145	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
146	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
147	C₁₁×#95	C₂³	1	2	yes	—
148	C₁₁×#95	C₂³	1	2	yes	—
149	C₁₁×#95	C₂³	1	2	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	2	yes	—
154	C₁₁×#95	C₂³	1	4	yes	—
155	C₁₁×#95	C₂³	1	4	yes	—
156	C₁₁×#95	C₂³	1	4	yes	—
157	#34411	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
158	C₂⁴×C₁₁	—	4	4	no	—
159	C₂⁴×C₁₁	—	4	2	no	—
160	C₂⁴×C₁₁	—	4	2	no	—
161	C₂⁴×C₁₁	—	4	4	no	—
162	C₂⁴×C₁₁	C₂²×C₄	1	8	yes	—
163	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
164	C₂⁴×C₁₁	C₂⁴	1	4	yes	—
165	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
166	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
167	C₁₁×#41	—	4	16	no	—
168	C₂×Q₈×C₁₁	—	4	1	no	—
169	C₂×Q₈×C₁₁	—	4	1	no	—
170	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	—
171	C₂×D₄×C₁₁	—	2	4	no	—
172	C₂×D₄×C₁₁	—	2	4	no	—
173	C₂×D₄×C₁₁	—	4	16	no	—
174	C₂×D₄×C₁₁	—	4	4	no	—
175	C₂×D₄×C₁₁	—	4	4	no	—
176	C₂×D₄×C₁₁	—	4	2	no	—
177	C₂×D₄×C₁₁	—	4	2	no	—
178	C₂×D₄×C₁₁	—	4	4	no	—
179	C₂×D₄×C₁₁	—	4	4	no	—
180	C₂×D₄×C₁₁	—	4	1	no	—
181	C₂×D₄×C₁₁	—	4	1	no	—
182	C₂×D₄×C₁₁	—	4	1	no	—
183	C₂×D₄×C₁₁	—	4	1	no	—
184	C₂×D₄×C₁₁	—	4	1	no	—
185	C₂×D₄×C₁₁	—	4	1	no	—
186	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
187	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
188	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
189	C₂×D₄×C₁₁	C₂²×C₄	1	16	yes	—
190	C₂×D₄×C₁₁	C₂²×C₄	1	16	yes	—
191	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
192	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
193	C₂²×C₄×C₁₁	—	2	2	no	—
194	C₂²×C₄×C₁₁	—	2	2	no	—
195	C₂²×C₄×C₁₁	—	2	2	no	—
196	C₂²×C₄×C₁₁	—	2	2	no	—
197	C₂²×C₄×C₁₁	—	2	2	no	—
198	C₂²×C₄×C₁₁	—	2	2	no	—
199	C₂²×C₄×C₁₁	—	2	4	no	—
200	C₂²×C₄×C₁₁	—	2	8	no	—
201	C₂²×C₄×C₁₁	—	4	1	no	—
202	C₂²×C₄×C₁₁	—	4	1	no	—
203	C₂²×C₄×C₁₁	—	4	2	no	—
204	C₂²×C₄×C₁₁	—	4	4	no	—
205	C₂²×C₄×C₁₁	—	4	2	no	—
206	C₂²×C₄×C₁₁	—	4	4	no	—
207	C₂²×C₄×C₁₁	—	4	4	no	—
208	C₂²×C₄×C₁₁	—	4	4	no	—
209	C₂²×C₄×C₁₁	—	4	4	no	—
210	C₂²×C₄×C₁₁	—	4	4	no	—
211	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
212	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
213	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
214	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
215	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
216	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
217	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
218	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
219	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
220	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
221	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
222	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
223	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
224	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
225	C₁₁×C₄⋊C₄	—	2	4	no	—
226	C₁₁×C₄⋊C₄	—	2	4	no	—
227	C₁₁×C₄⋊C₄	—	2	8	no	—
228	C₁₁×C₄⋊C₄	—	4	2	no	—
229	C₁₁×C₄⋊C₄	—	4	4	no	—
230	C₁₁×C₄⋊C₄	—	4	2	no	—
231	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
232	C₁₁×C₂²⋊C₄	—	2	4	no	—
233	C₁₁×C₂²⋊C₄	—	2	8	no	—
234	C₁₁×C₂²⋊C₄	—	2	4	no	—
235	C₁₁×C₂²⋊C₄	—	4	4	no	—
236	C₁₁×C₂²⋊C₄	—	4	4	no	—
237	C₁₁×C₂²⋊C₄	—	4	2	no	—
238	C₁₁×C₂²⋊C₄	—	4	4	no	—
239	C₁₁×C₂²⋊C₄	—	4	2	no	—
240	C₁₁×C₂²⋊C₄	—	4	1	no	—
241	C₁₁×C₂²⋊C₄	—	4	1	no	—
242	C₁₁×C₂²⋊C₄	—	4	2	no	—
243	C₁₁×C₂²⋊C₄	—	4	4	no	—
244	C₁₁×C₂²⋊C₄	—	4	4	no	—
245	C₁₁×C₂²⋊C₄	—	4	4	no	—
246	C₁₁×C₂²⋊C₄	—	4	4	no	—
247	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
248	C₁₁×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
249	C₁₁×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
250	C₄²×C₁₁	—	2	4	no	—
251	C₄²×C₁₁	—	2	4	no	—
252	C₄²×C₁₁	—	4	2	no	—
253	C₄²×C₁₁	—	4	2	no	—
254	C₄²×C₁₁	—	4	4	no	—
255	C₄²×C₁₁	—	4	4	no	—
256	C₄²×C₁₁	C₂²×C₄	1	8	yes	—
257	C₂×#535	C₂×C₁₁	1	1	yes	characteristic
258	#2380	C₂×C₁₁	1	2	yes	complemented
259	#2375	C₂×C₁₁	1	2	yes	complemented
260	#2366	C₂×C₁₁	1	2	yes	complemented
261	#2363	C₂×C₁₁	1	2	yes	complemented
262	#2361	C₂×C₁₁	1	2	yes	complemented
263	#2358	C₂×C₁₁	1	2	yes	complemented
264	#2347	C₂×C₁₁	1	2	yes	complemented
265	D₄×C₂²⋊C₄	C₂×C₁₁	1	2	yes	complemented
266	#2337	C₂×C₁₁	1	4	yes	complemented
267	#2324	C₂×C₁₁	1	2	yes	complemented
268	#2321	C₂×C₁₁	1	4	yes	complemented
269	#2311	C₂×C₁₁	1	1	yes	characteristic, complemented
270	C₄×#121	C₂×C₁₁	1	2	yes	complemented
271	#2297	C₂×C₁₁	1	1	yes	characteristic, complemented
272	C₂³×C₁₁	—	2	2	no	—
273	C₂³×C₁₁	—	2	4	no	—
274	C₂³×C₁₁	—	2	2	no	—
275	C₂³×C₁₁	—	2	1	no	—
276	C₂³×C₁₁	—	2	1	no	—
277	C₂³×C₁₁	—	2	2	no	—
278	C₂³×C₁₁	—	2	4	no	—
279	C₂³×C₁₁	—	2	4	no	—
280	C₂³×C₁₁	—	2	4	no	—
281	C₂³×C₁₁	—	2	1	no	—
282	C₂³×C₁₁	—	2	1	no	—
283	C₂³×C₁₁	—	2	1	no	—
284	C₂³×C₁₁	—	2	1	no	—
285	C₂³×C₁₁	—	2	2	no	—
286	C₂³×C₁₁	—	2	4	no	—
287	C₂³×C₁₁	—	2	2	no	—
288	C₂³×C₁₁	—	2	2	no	—
289	C₂³×C₁₁	—	2	4	no	—
290	C₂³×C₁₁	—	4	8	no	—
291	C₂³×C₁₁	—	4	16	no	—
292	C₂³×C₁₁	—	8	4	no	—
293	C₂³×C₁₁	—	8	4	no	—
294	C₂³×C₁₁	—	8	8	no	—
295	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
296	C₂³×C₁₁	C₂³×C₄	1	8	yes	—
297	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
298	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
299	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
300	Q₈×C₁₁	—	4	4	no	—
301	D₄×C₁₁	—	2	16	no	—
302	D₄×C₁₁	—	4	8	no	—
303	D₄×C₁₁	—	4	16	no	—
304	D₄×C₁₁	—	4	16	no	—
305	D₄×C₁₁	—	4	4	no	—
306	D₄×C₁₁	—	4	4	no	—
307	D₄×C₁₁	—	4	4	no	—
308	C₂×C₄×C₁₁	—	2	2	no	—
309	C₂×C₄×C₁₁	—	2	4	no	—
310	C₂×C₄×C₁₁	—	2	2	no	—
311	C₂×C₄×C₁₁	—	2	1	no	—
312	C₂×C₄×C₁₁	—	2	1	no	—
313	C₂×C₄×C₁₁	—	2	1	no	—
314	C₂×C₄×C₁₁	—	2	1	no	—
315	C₂×C₄×C₁₁	—	2	1	no	—
316	C₂×C₄×C₁₁	—	2	1	no	—
317	C₂×C₄×C₁₁	—	2	4	no	—
318	C₂×C₄×C₁₁	—	2	8	no	—
319	C₂×C₄×C₁₁	—	2	8	no	—
320	C₂×C₄×C₁₁	—	2	8	no	—
321	C₂×C₄×C₁₁	—	2	2	no	—
322	C₂×C₄×C₁₁	—	2	2	no	—
323	C₂×C₄×C₁₁	—	2	2	no	—
324	C₂×C₄×C₁₁	—	2	2	no	—
325	C₂×C₄×C₁₁	—	2	4	no	—
326	C₂×C₄×C₁₁	—	2	4	no	—
327	C₂×C₄×C₁₁	—	2	4	no	—
328	C₂×C₄×C₁₁	—	2	2	no	—
329	C₂×C₄×C₁₁	—	2	4	no	—
330	C₂×C₄×C₁₁	—	2	4	no	—
331	C₂×C₄×C₁₁	—	2	2	no	—
332	C₂×C₄×C₁₁	—	2	2	no	—
333	C₂×C₄×C₁₁	—	2	2	no	—
334	C₂×C₄×C₁₁	—	2	4	no	—
335	C₂×C₄×C₁₁	—	2	2	no	—
336	C₂×C₄×C₁₁	—	4	4	no	—
337	C₂×C₄×C₁₁	—	4	4	no	—
338	C₂×C₄×C₁₁	—	8	8	no	—
339	C₂×C₄×C₁₁	—	8	4	no	—
340	C₂×C₄×C₁₁	—	8	8	no	—
341	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
342	C₂×C₄×C₁₁	C₂³×C₄	1	8	yes	—
343	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
344	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
345	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
346	C₂×C₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
347	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
348	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
349	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
350	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
351	#535	C₄×C₁₁	1	16	yes	complemented
352	C₂×#127	C₂²×C₁₁	1	2	yes	—
353	C₂×#124	C₂²×C₁₁	1	2	yes	—
354	C₂×#121	C₂²×C₁₁	1	2	yes	—
355	C₂×#121	C₂²×C₁₁	1	2	yes	—
356	C₂×#120	C₂²×C₁₁	1	2	yes	—
357	C₂×#120	C₂²×C₁₁	1	2	yes	—
358	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
359	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
360	C₂×C₄×D₄	C₂²×C₁₁	1	4	yes	complemented
361	C₂×C₄×D₄	C₂²×C₁₁	1	4	yes	complemented
362	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
363	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic, complemented
364	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic, complemented
365	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
366	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	—
367	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic, complemented
368	#391	C₂²×C₁₁	1	2	yes	complemented
369	#391	C₂²×C₁₁	1	2	yes	complemented
370	#390	C₂²×C₁₁	1	2	yes	—
371	#390	C₂²×C₁₁	1	2	yes	—
372	#390	C₂²×C₁₁	1	2	yes	—
373	#390	C₂²×C₁₁	1	2	yes	—
374	#390	C₂²×C₁₁	1	4	yes	complemented
375	#390	C₂²×C₁₁	1	4	yes	complemented
376	#389	C₂²×C₁₁	1	2	yes	complemented
377	#389	C₂²×C₁₁	1	2	yes	complemented
378	#388	C₂²×C₁₁	1	4	yes	—
379	#388	C₂²×C₁₁	1	4	yes	—
380	#388	C₂²×C₁₁	1	4	yes	complemented
381	#388	C₂²×C₁₁	1	4	yes	complemented
382	#388	C₂²×C₁₁	1	4	yes	complemented
383	#388	C₂²×C₁₁	1	4	yes	complemented
384	#386	C₂²×C₁₁	1	2	yes	—
385	#386	C₂²×C₁₁	1	4	yes	—
386	#386	C₂²×C₁₁	1	4	yes	—
387	#386	C₂²×C₁₁	1	1	yes	characteristic
388	#386	C₂²×C₁₁	1	1	yes	characteristic
389	#386	C₂²×C₁₁	1	2	yes	complemented
390	#386	C₂²×C₁₁	1	4	yes	complemented
391	#386	C₂²×C₁₁	1	4	yes	complemented
392	#386	C₂²×C₁₁	1	4	yes	complemented
393	#386	C₂²×C₁₁	1	1	yes	characteristic, complemented
394	#386	C₂²×C₁₁	1	4	yes	complemented
395	#386	C₂²×C₁₁	1	1	yes	characteristic, complemented
396	#385	C₂²×C₁₁	1	4	yes	complemented
397	#385	C₂²×C₁₁	1	4	yes	complemented
398	#383	C₂²×C₁₁	1	4	yes	complemented
399	#380	C₂²×C₁₁	1	2	yes	—
400	#380	C₂²×C₁₁	1	2	yes	complemented
401	#379	C₂²×C₁₁	1	4	yes	—
402	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
403	C₄×C₄⋊C₄	C₂²×C₁₁	1	4	yes	complemented
404	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
405	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
406	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	complemented
407	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	complemented
408	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
409	C₂²×C₁₁	—	2	2	no	—
410	C₂²×C₁₁	—	2	2	no	—
411	C₂²×C₁₁	—	2	2	no	—
412	C₂²×C₁₁	—	2	8	no	—
413	C₂²×C₁₁	—	2	4	no	—
414	C₂²×C₁₁	—	2	4	no	—
415	C₂²×C₁₁	—	2	8	no	—
416	C₂²×C₁₁	—	2	8	no	—
417	C₂²×C₁₁	—	2	4	no	—
418	C₂²×C₁₁	—	4	1	no	—
419	C₂²×C₁₁	—	4	1	no	—
420	C₂²×C₁₁	—	4	4	no	—
421	C₂²×C₁₁	—	4	1	no	—
422	C₂²×C₁₁	—	4	1	no	—
423	C₂²×C₁₁	—	4	1	no	—
424	C₂²×C₁₁	—	4	4	no	—
425	C₂²×C₁₁	—	4	1	no	—
426	C₂²×C₁₁	—	4	4	no	—
427	C₂²×C₁₁	—	4	2	no	—
428	C₂²×C₁₁	—	4	2	no	—
429	C₂²×C₁₁	—	4	4	no	—
430	C₂²×C₁₁	—	4	2	no	—
431	C₂²×C₁₁	—	8	16	no	—
432	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
433	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
434	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
435	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
436	C₂²×C₁₁	#585	1	2	yes	—
437	C₄×C₁₁	—	2	2	no	—
438	C₄×C₁₁	—	2	2	no	—
439	C₄×C₁₁	—	2	2	no	—
440	C₄×C₁₁	—	2	8	no	—
441	C₄×C₁₁	—	2	4	no	—
442	C₄×C₁₁	—	4	4	no	—
443	C₄×C₁₁	—	4	2	no	—
444	C₄×C₁₁	—	4	2	no	—
445	C₄×C₁₁	—	4	4	no	—
446	C₄×C₁₁	—	4	2	no	—
447	C₄×C₁₁	#518	1	4	yes	—
448	C₂⁵	C₂³×C₁₁	1	2	yes	—
449	C₂×#41	—	4	2	no	—
450	C₂×#41	—	4	2	no	—
451	C₂×#41	C₂×C₄×C₁₁	1	8	yes	complemented
452	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
453	C₂²×D₄	—	4	2	no	—
454	C₂²×D₄	—	4	2	no	—
455	C₂²×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
456	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
457	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
458	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
459	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
460	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
461	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
462	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
463	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
464	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
465	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
466	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
467	C₂³×C₄	C₂³×C₁₁	1	4	yes	—
468	C₂³×C₄	C₂³×C₁₁	1	4	yes	—
469	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
470	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
471	#127	C₂×C₄×C₁₁	1	16	yes	complemented
472	#124	C₂×C₄×C₁₁	1	16	yes	complemented
473	#121	C₂×C₄×C₁₁	1	16	yes	complemented
474	#121	C₂×C₄×C₁₁	1	16	yes	complemented
475	#120	C₂×C₄×C₁₁	1	16	yes	complemented
476	#120	C₂×C₄×C₁₁	1	16	yes	complemented
477	C₄×D₄	—	4	4	no	—
478	C₄×D₄	—	4	4	no	—
479	C₄×D₄	—	4	8	no	—
480	C₄×D₄	—	4	8	no	—
481	#117	—	4	2	no	—
482	#117	—	4	2	no	—
483	#117	C₂×C₄×C₁₁	1	8	yes	complemented
484	C₂×C₄⋊C₄	—	4	2	no	—
485	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
486	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
487	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
488	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
489	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
490	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
491	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
492	C₂×C₂²⋊C₄	—	4	8	no	—
493	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
494	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
495	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
496	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
497	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
498	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
499	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
500	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
501	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
502	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
503	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
504	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
505	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
506	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
507	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
508	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
509	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
510	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
511	C₂×C₄²	—	4	2	no	—
512	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
513	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
514	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
515	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
516	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
517	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
518	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
519	#95	C₂³×C₁₁	1	2	yes	—
520	#95	C₂³×C₁₁	1	2	yes	—
521	#95	C₂³×C₁₁	1	2	yes	—
522	#95	C₂³×C₁₁	1	4	yes	—
523	#95	C₂³×C₁₁	1	4	yes	—
524	#95	C₂³×C₁₁	1	4	yes	—
525	#95	C₂³×C₁₁	1	2	yes	—
526	#95	C₂³×C₁₁	1	4	yes	—
527	#95	C₂³×C₁₁	1	4	yes	—
528	#95	C₂³×C₁₁	1	4	yes	—
529	C₂×C₁₁	—	4	2	no	—
530	C₂×C₁₁	—	4	2	no	—
531	C₂×C₁₁	—	4	8	no	—
532	C₂×C₁₁	—	4	2	no	—
533	C₂×C₁₁	C₂×#518	1	1	yes	characteristic
534	C₂×C₁₁	C₄×H(5,𝔽₂)	1	2	yes	—
535	C₂×C₁₁	#3537	1	1	yes	characteristic
536	C₂×C₁₁	#3540	1	1	yes	characteristic
537	C₂×C₁₁	#3546	1	2	yes	—
538	C₂⁴	—	4	4	no	—
539	C₂⁴	—	4	2	no	—
540	C₂⁴	—	4	2	no	—
541	C₂⁴	—	4	4	no	—
542	C₂⁴	C₂²×C₄×C₁₁	1	8	yes	—
543	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
544	C₂⁴	C₂⁴×C₁₁	1	4	yes	—
545	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
546	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
547	#41	—	4	16	no	—
548	C₂×Q₈	—	4	1	no	—
549	C₂×Q₈	—	4	1	no	—
550	C₂×Q₈	C₂²×C₄×C₁₁	1	4	yes	—
551	C₂×D₄	—	2	4	no	—
552	C₂×D₄	—	2	4	no	—
553	C₂×D₄	—	4	16	no	—
554	C₂×D₄	—	4	4	no	—
555	C₂×D₄	—	4	4	no	—
556	C₂×D₄	—	4	2	no	—
557	C₂×D₄	—	4	2	no	—
558	C₂×D₄	—	4	1	no	—
559	C₂×D₄	—	4	1	no	—
560	C₂×D₄	—	4	1	no	—
561	C₂×D₄	—	4	1	no	—
562	C₂×D₄	—	4	1	no	—
563	C₂×D₄	—	4	1	no	—
564	C₂×D₄	—	4	4	no	—
565	C₂×D₄	—	4	4	no	—
566	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
567	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
568	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
569	C₂×D₄	C₂²×C₄×C₁₁	1	16	yes	—
570	C₂×D₄	C₂²×C₄×C₁₁	1	16	yes	—
571	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
572	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
573	C₂²×C₄	—	2	2	no	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	2	no	—
576	C₂²×C₄	—	2	2	no	—
577	C₂²×C₄	—	2	2	no	—
578	C₂²×C₄	—	2	2	no	—
579	C₂²×C₄	—	2	4	no	—
580	C₂²×C₄	—	2	8	no	—
581	C₂²×C₄	—	4	1	no	—
582	C₂²×C₄	—	4	1	no	—
583	C₂²×C₄	—	4	2	no	—
584	C₂²×C₄	—	4	4	no	—
585	C₂²×C₄	—	4	2	no	—
586	C₂²×C₄	—	4	4	no	—
587	C₂²×C₄	—	4	4	no	—
588	C₂²×C₄	—	4	4	no	—
589	C₂²×C₄	—	4	4	no	—
590	C₂²×C₄	—	4	4	no	—
591	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
592	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
593	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
594	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
595	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
596	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
597	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
598	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
599	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
600	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
601	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
602	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
603	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
604	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
605	C₄⋊C₄	—	2	4	no	—
606	C₄⋊C₄	—	2	4	no	—
607	C₄⋊C₄	—	2	8	no	—
608	C₄⋊C₄	—	4	2	no	—
609	C₄⋊C₄	—	4	2	no	—
610	C₄⋊C₄	—	4	4	no	—
611	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
612	C₂²⋊C₄	—	2	4	no	—
613	C₂²⋊C₄	—	2	8	no	—
614	C₂²⋊C₄	—	2	4	no	—
615	C₂²⋊C₄	—	4	4	no	—
616	C₂²⋊C₄	—	4	4	no	—
617	C₂²⋊C₄	—	4	1	no	—
618	C₂²⋊C₄	—	4	1	no	—
619	C₂²⋊C₄	—	4	2	no	—
620	C₂²⋊C₄	—	4	4	no	—
621	C₂²⋊C₄	—	4	4	no	—
622	C₂²⋊C₄	—	4	4	no	—
623	C₂²⋊C₄	—	4	4	no	—
624	C₂²⋊C₄	—	4	2	no	—
625	C₂²⋊C₄	—	4	4	no	—
626	C₂²⋊C₄	—	4	2	no	—
627	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
628	C₂²⋊C₄	C₂²×C₄×C₁₁	1	16	yes	—
629	C₂²⋊C₄	C₂²×C₄×C₁₁	1	16	yes	—
630	C₄²	—	2	4	no	—
631	C₄²	—	2	4	no	—
632	C₄²	—	4	2	no	—
633	C₄²	—	4	2	no	—
634	C₄²	—	4	4	no	—
635	C₄²	—	4	4	no	—
636	C₄²	C₂²×C₄×C₁₁	1	8	yes	—
637	C₁₁	#34411	1	1	yes	characteristic, direct product factor, Sylow
638	C₂³	—	2	2	no	—
639	C₂³	—	2	4	no	—
640	C₂³	—	2	2	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	2	no	—
644	C₂³	—	2	4	no	—
645	C₂³	—	2	4	no	—
646	C₂³	—	2	4	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	2	no	—
652	C₂³	—	2	4	no	—
653	C₂³	—	2	2	no	—
654	C₂³	—	2	2	no	—
655	C₂³	—	2	4	no	—
656	C₂³	—	4	8	no	—
657	C₂³	—	4	16	no	—
658	C₂³	—	8	4	no	—
659	C₂³	—	8	4	no	—
660	C₂³	—	8	8	no	—
661	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
662	C₂³	C₂³×C₄×C₁₁	1	8	yes	—
663	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
664	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
665	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
666	Q₈	—	4	4	no	—
667	D₄	—	2	16	no	—
668	D₄	—	4	8	no	—
669	D₄	—	4	16	no	—
670	D₄	—	4	16	no	—
671	D₄	—	4	4	no	—
672	D₄	—	4	4	no	—
673	D₄	—	4	4	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	4	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	1	no	—
678	C₂×C₄	—	2	1	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	1	no	—
682	C₂×C₄	—	2	1	no	—
683	C₂×C₄	—	2	4	no	—
684	C₂×C₄	—	2	8	no	—
685	C₂×C₄	—	2	8	no	—
686	C₂×C₄	—	2	8	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	4	no	—
692	C₂×C₄	—	2	4	no	—
693	C₂×C₄	—	2	4	no	—
694	C₂×C₄	—	2	2	no	—
695	C₂×C₄	—	2	4	no	—
696	C₂×C₄	—	2	4	no	—
697	C₂×C₄	—	2	2	no	—
698	C₂×C₄	—	2	2	no	—
699	C₂×C₄	—	2	2	no	—
700	C₂×C₄	—	2	4	no	—
701	C₂×C₄	—	2	2	no	—
702	C₂×C₄	—	4	4	no	—
703	C₂×C₄	—	4	4	no	—
704	C₂×C₄	—	8	8	no	—
705	C₂×C₄	—	8	4	no	—
706	C₂×C₄	—	8	8	no	—
707	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
708	C₂×C₄	C₂³×C₄×C₁₁	1	8	yes	—
709	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
710	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
711	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
712	C₂×C₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
713	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
714	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
715	C₂²	—	2	2	no	—
716	C₂²	—	2	2	no	—
717	C₂²	—	2	2	no	—
718	C₂²	—	2	8	no	—
719	C₂²	—	2	4	no	—
720	C₂²	—	2	4	no	—
721	C₂²	—	2	8	no	—
722	C₂²	—	2	8	no	—
723	C₂²	—	2	4	no	—
724	C₂²	—	4	1	no	—
725	C₂²	—	4	1	no	—
726	C₂²	—	4	4	no	—
727	C₂²	—	4	1	no	—
728	C₂²	—	4	1	no	—
729	C₂²	—	4	1	no	—
730	C₂²	—	4	4	no	—
731	C₂²	—	4	1	no	—
732	C₂²	—	4	4	no	—
733	C₂²	—	4	2	no	—
734	C₂²	—	4	4	no	—
735	C₂²	—	4	2	no	—
736	C₂²	—	4	2	no	—
737	C₂²	—	8	16	no	—
738	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
739	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
740	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
741	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
742	C₂²	C₁₁×#585	1	2	yes	—
743	C₄	—	2	2	no	—
744	C₄	—	2	2	no	—
745	C₄	—	2	2	no	—
746	C₄	—	2	8	no	—
747	C₄	—	2	4	no	—
748	C₄	—	4	4	no	—
749	C₄	—	4	2	no	—
750	C₄	—	4	2	no	—
751	C₄	—	4	4	no	—
752	C₄	—	4	2	no	—
753	C₄	C₁₁×#518	1	4	yes	—
754	C₂	—	4	2	no	—
755	C₂	—	4	8	no	—
756	C₂	—	4	2	no	—
757	C₂	—	4	2	no	—
758	C₂	C₂×C₁₁×#518	1	1	yes	characteristic
759	C₂	C₄×C₁₁×H(5,𝔽₂)	1	2	yes	—
760	C₂	C₁₁×#3537	1	1	yes	characteristic
761	C₂	C₁₁×#3540	1	1	yes	characteristic
762	C₂	C₁₁×#3546	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂×C₁₁×#535	C₂
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×#2380	C₂	semidirect
3. C₁₁×#2375	C₂	semidirect
4. C₁₁×#2366	C₂	semidirect
5. C₁₁×#2363	C₂	semidirect
6. C₁₁×#2361	C₂	semidirect
7. C₁₁×#2358	C₂	semidirect
8. C₁₁×#2347	C₂	semidirect
9. D₄×C₁₁×C₂²⋊C₄	C₂	semidirect
10. C₁₁×#2337	C₂	semidirect
11. C₁₁×#2324	C₂	semidirect
12. C₁₁×#2321	C₂	semidirect
13. C₁₁×#2311	C₂	semidirect
14. C₄×C₁₁×#121	C₂	semidirect
15. C₁₁×#2297	C₂	semidirect
18. C₁₁×#535	C₄	semidirect
27. C₂×C₄×D₄×C₁₁	C₂²	semidirect
28. C₂×C₄×D₄×C₁₁	C₂²	semidirect
30. C₂×C₁₁×#117	C₂²	semidirect
31. C₂×C₁₁×#117	C₂²	semidirect
32. C₂²×C₁₁×C₄⋊C₄	C₂²	semidirect
34. C₂²×C₄²×C₁₁	C₂²	semidirect
35. C₁₁×#391	C₂²	semidirect
36. C₁₁×#391	C₂²	semidirect
41. C₁₁×#390	C₂²	semidirect
42. C₁₁×#390	C₂²	semidirect
43. C₁₁×#389	C₂²	semidirect
44. C₁₁×#389	C₂²	semidirect
47. C₁₁×#388	C₂²	semidirect
48. C₁₁×#388	C₂²	semidirect
49. C₁₁×#388	C₂²	semidirect
50. C₁₁×#388	C₂²	semidirect
56. C₁₁×#386	C₂²	semidirect
57. C₁₁×#386	C₂²	semidirect
58. C₁₁×#386	C₂²	semidirect
59. C₁₁×#386	C₂²	semidirect
60. C₁₁×#386	C₂²	semidirect
61. C₁₁×#386	C₂²	semidirect
62. C₁₁×#386	C₂²	semidirect
63. C₁₁×#385	C₂²	semidirect
64. C₁₁×#385	C₂²	semidirect
65. C₁₁×#383	C₂²	semidirect
67. C₁₁×#380	C₂²	semidirect
69. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
70. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
71. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
73. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
74. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
75. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
79. C₂×C₁₁×#41	C₂×C₄	semidirect
83. C₂²×D₄×C₁₁	C₂×C₄	semidirect
99. C₁₁×#127	C₂×C₄	semidirect
100. C₁₁×#124	C₂×C₄	semidirect
101. C₁₁×#121	C₂×C₄	semidirect
102. C₁₁×#121	C₂×C₄	semidirect
103. C₁₁×#120	C₂×C₄	semidirect
104. C₁₁×#120	C₂×C₄	semidirect
111. C₁₁×#117	C₂×C₄	semidirect
157. #34411	C₁₁	direct (N × H)
258. #2380	C₂×C₁₁	semidirect
259. #2375	C₂×C₁₁	semidirect
260. #2366	C₂×C₁₁	semidirect
261. #2363	C₂×C₁₁	semidirect
262. #2361	C₂×C₁₁	semidirect
263. #2358	C₂×C₁₁	semidirect
264. #2347	C₂×C₁₁	semidirect
265. D₄×C₂²⋊C₄	C₂×C₁₁	semidirect
266. #2337	C₂×C₁₁	semidirect
267. #2324	C₂×C₁₁	semidirect
268. #2321	C₂×C₁₁	semidirect
269. #2311	C₂×C₁₁	semidirect
270. C₄×#121	C₂×C₁₁	semidirect
271. #2297	C₂×C₁₁	semidirect
351. #535	C₄×C₁₁	semidirect
360. C₂×C₄×D₄	C₂²×C₁₁	semidirect
361. C₂×C₄×D₄	C₂²×C₁₁	semidirect
363. C₂×#117	C₂²×C₁₁	semidirect
364. C₂×#117	C₂²×C₁₁	semidirect
365. C₂²×C₄⋊C₄	C₂²×C₁₁	semidirect
367. C₂²×C₄²	C₂²×C₁₁	semidirect
368. #391	C₂²×C₁₁	semidirect
369. #391	C₂²×C₁₁	semidirect
374. #390	C₂²×C₁₁	semidirect
375. #390	C₂²×C₁₁	semidirect
376. #389	C₂²×C₁₁	semidirect
377. #389	C₂²×C₁₁	semidirect
380. #388	C₂²×C₁₁	semidirect
381. #388	C₂²×C₁₁	semidirect
382. #388	C₂²×C₁₁	semidirect
383. #388	C₂²×C₁₁	semidirect
389. #386	C₂²×C₁₁	semidirect
390. #386	C₂²×C₁₁	semidirect
391. #386	C₂²×C₁₁	semidirect
392. #386	C₂²×C₁₁	semidirect
393. #386	C₂²×C₁₁	semidirect
394. #386	C₂²×C₁₁	semidirect
395. #386	C₂²×C₁₁	semidirect
396. #385	C₂²×C₁₁	semidirect
397. #385	C₂²×C₁₁	semidirect
398. #383	C₂²×C₁₁	semidirect
400. #380	C₂²×C₁₁	semidirect
402. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
403. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
404. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
406. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
407. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
408. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
451. C₂×#41	C₂×C₄×C₁₁	semidirect
455. C₂²×D₄	C₂×C₄×C₁₁	semidirect
471. #127	C₂×C₄×C₁₁	semidirect
472. #124	C₂×C₄×C₁₁	semidirect
473. #121	C₂×C₄×C₁₁	semidirect
474. #121	C₂×C₄×C₁₁	semidirect
475. #120	C₂×C₄×C₁₁	semidirect
476. #120	C₂×C₄×C₁₁	semidirect
483. #117	C₂×C₄×C₁₁	semidirect
637. C₁₁	#34411	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#535	2
C₁₁×#2380	2
C₁₁×#2375	2
C₁₁×#2366	2
C₁₁×#2363	2
C₁₁×#2361	2
C₁₁×#2358	2
C₁₁×#2347	2
D₄×C₁₁×C₂²⋊C₄	2
C₁₁×#2337	2
C₁₁×#2324	2
C₁₁×#2321	2
C₁₁×#2311	2
C₄×C₁₁×#121	2
C₁₁×#2297	2
#34411	11

Subgroups — C11×#34411 #14611604

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#34411 #14611604