Subgroups — C₁₁×#36606 #14613799

Order 2816.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1054 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2856	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#2850	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#2595	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2593	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2591	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2570	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2544	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2516	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2513	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2511	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2448	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2445	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2444	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2443	C₂	1	2	yes	maximal, complemented
16	C₁₁×#2374	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2367	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#2364	C₂	1	2	yes	maximal, complemented
19	C₁₁×#2357	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₁×#121	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₁×#121	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×#123	C₂²	1	2	yes	—
28	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
29	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
31	C₂×C₁₁×#121	C₂²	1	2	yes	—
32	C₂×C₁₁×#121	C₂²	1	2	yes	—
33	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
36	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
37	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
38	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
40	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
41	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
42	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
43	C₁₁×#400	C₂²	1	2	yes	—
44	C₁₁×#400	C₂²	1	2	yes	—
45	C₁₁×#400	C₂²	1	2	yes	—
46	C₁₁×#399	C₂²	1	2	yes	—
47	C₁₁×#398	C₂²	1	2	yes	—
48	C₁₁×#397	C₂²	1	2	yes	—
49	C₁₁×#397	C₂²	1	2	yes	—
50	C₁₁×#397	C₂²	1	2	yes	—
51	C₁₁×#394	C₂²	1	2	yes	—
52	C₁₁×#394	C₂²	1	2	yes	—
53	C₁₁×#394	C₂²	1	2	yes	—
54	C₁₁×#394	C₂²	1	2	yes	—
55	C₁₁×#391	C₂²	1	1	yes	characteristic
56	C₁₁×#391	C₂²	1	1	yes	characteristic
57	C₁₁×#391	C₂²	1	1	yes	characteristic
58	C₁₁×#390	C₂²	1	1	yes	characteristic
59	C₁₁×#390	C₂²	1	1	yes	characteristic
60	C₁₁×#390	C₂²	1	1	yes	characteristic
61	C₁₁×#390	C₂²	1	1	yes	characteristic
62	C₁₁×#390	C₂²	1	1	yes	characteristic
63	C₁₁×#390	C₂²	1	1	yes	characteristic
64	C₁₁×#390	C₂²	1	2	yes	—
65	C₁₁×#390	C₂²	1	2	yes	—
66	C₁₁×#389	C₂²	1	1	yes	characteristic
67	C₁₁×#389	C₂²	1	1	yes	characteristic
68	C₁₁×#389	C₂²	1	1	yes	characteristic
69	C₁₁×#388	C₂²	1	2	yes	—
70	C₁₁×#388	C₂²	1	2	yes	—
71	C₁₁×#388	C₂²	1	2	yes	—
72	C₁₁×#388	C₂²	1	2	yes	—
73	C₁₁×#388	C₂²	1	2	yes	—
74	C₁₁×#388	C₂²	1	2	yes	—
75	C₁₁×#388	C₂²	1	2	yes	—
76	C₁₁×#388	C₂²	1	2	yes	—
77	C₁₁×#388	C₂²	1	2	yes	—
78	C₁₁×#388	C₂²	1	2	yes	—
79	C₁₁×#388	C₂²	1	2	yes	—
80	C₁₁×#388	C₂²	1	2	yes	—
81	C₁₁×#388	C₂²	1	2	yes	—
82	C₁₁×#388	C₂²	1	2	yes	—
83	C₁₁×#387	C₂²	1	2	yes	—
84	C₁₁×#387	C₂²	1	2	yes	—
85	C₁₁×#387	C₂²	1	2	yes	—
86	C₁₁×#387	C₂²	1	2	yes	—
87	C₁₁×#387	C₂²	1	2	yes	—
88	C₁₁×#386	C₂²	1	2	yes	—
89	C₁₁×#386	C₂²	1	2	yes	—
90	C₁₁×#386	C₂²	1	2	yes	—
91	C₁₁×#386	C₂²	1	2	yes	—
92	C₁₁×#386	C₂²	1	2	yes	—
93	C₁₁×#386	C₂²	1	2	yes	—
94	C₁₁×#386	C₂²	1	2	yes	—
95	C₁₁×#386	C₂²	1	2	yes	—
96	C₁₁×#386	C₂²	1	2	yes	—
97	C₁₁×#385	C₂²	1	2	yes	—
98	C₁₁×#385	C₂²	1	2	yes	—
99	C₁₁×#384	C₂²	1	1	yes	characteristic
100	C₁₁×#382	C₂²	1	1	yes	characteristic
101	C₁₁×#382	C₂²	1	1	yes	characteristic
102	C₁₁×#381	C₂²	1	2	yes	—
103	C₁₁×#380	C₂²	1	1	yes	characteristic
104	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
116	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
117	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
118	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₂×C₁₁×#95	C₂²	1	1	yes	characteristic
122	C₂×C₁₁×#95	C₂²	1	1	yes	characteristic
123	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
126	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
128	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
130	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
137	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
138	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
139	C₁₁×#127	—	4	2	no	—
140	C₁₁×#124	—	2	4	no	—
141	C₁₁×#124	—	4	2	no	—
142	C₁₁×#123	—	2	8	no	—
143	C₁₁×C₂²⋊Q₈	—	2	4	no	—
144	C₁₁×#121	—	2	4	no	—
145	C₁₁×#121	—	2	4	no	—
146	C₁₁×#121	—	2	8	no	—
147	C₁₁×#121	—	4	4	no	—
148	C₄×Q₈×C₁₁	—	4	2	no	—
149	C₄×D₄×C₁₁	—	2	4	no	—
150	C₄×D₄×C₁₁	—	4	2	no	—
151	C₄×D₄×C₁₁	—	4	4	no	—
152	C₄×D₄×C₁₁	—	4	4	no	—
153	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
154	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
155	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
156	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
157	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
158	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
159	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
160	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
161	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
162	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
163	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
166	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
196	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂×C₄²×C₁₁	—	2	4	no	—
198	C₂×C₄²×C₁₁	—	4	2	no	—
199	C₂×C₄²×C₁₁	—	4	2	no	—
200	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
202	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
203	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
212	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
213	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
214	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
215	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
216	C₁₁×#95	C₂³	1	1	yes	characteristic
217	C₁₁×#95	C₂³	1	1	yes	characteristic
218	C₁₁×#95	C₂³	1	1	yes	characteristic
219	C₁₁×#95	C₂³	1	1	yes	characteristic
220	C₁₁×#95	C₂³	1	1	yes	characteristic
221	C₁₁×#95	C₂³	1	1	yes	characteristic
222	C₁₁×#95	C₂³	1	1	yes	characteristic
223	C₁₁×#95	C₂³	1	1	yes	characteristic
224	C₁₁×#95	C₂³	1	2	yes	—
225	C₁₁×#95	C₂³	1	2	yes	—
226	C₁₁×#95	C₂³	1	2	yes	—
227	C₁₁×#95	C₂³	1	2	yes	—
228	C₁₁×#95	C₂³	1	2	yes	—
229	C₁₁×#95	C₂³	1	2	yes	—
230	C₁₁×#95	C₂³	1	2	yes	—
231	C₁₁×#95	C₂³	1	2	yes	—
232	C₁₁×#95	C₂³	1	2	yes	—
233	C₁₁×#95	C₂³	1	2	yes	—
234	C₁₁×#95	C₂³	1	2	yes	—
235	C₁₁×#95	C₂³	1	2	yes	—
236	C₁₁×#95	C₂³	1	2	yes	—
237	C₁₁×#95	C₂³	1	2	yes	—
238	C₁₁×#95	C₂³	1	2	yes	—
239	C₁₁×#95	C₂³	1	2	yes	—
240	C₁₁×#95	C₂³	1	2	yes	—
241	#36606	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
242	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
243	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
244	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
245	C₂×Q₈×C₁₁	—	2	2	no	—
246	C₂×Q₈×C₁₁	—	2	2	no	—
247	C₂×Q₈×C₁₁	—	2	2	no	—
248	C₂×D₄×C₁₁	—	2	4	no	—
249	C₂×D₄×C₁₁	—	2	4	no	—
250	C₂×D₄×C₁₁	—	2	4	no	—
251	C₂×D₄×C₁₁	—	2	4	no	—
252	C₂×D₄×C₁₁	—	2	4	no	—
253	C₂×D₄×C₁₁	—	2	4	no	—
254	C₂×D₄×C₁₁	—	2	2	no	—
255	C₂×D₄×C₁₁	—	2	2	no	—
256	C₂×D₄×C₁₁	—	2	2	no	—
257	C₂×D₄×C₁₁	—	2	2	no	—
258	C₂×D₄×C₁₁	—	2	4	no	—
259	C₂×D₄×C₁₁	—	2	4	no	—
260	C₂×D₄×C₁₁	—	2	2	no	—
261	C₂×D₄×C₁₁	—	2	2	no	—
262	C₂×D₄×C₁₁	—	4	2	no	—
263	C₂×D₄×C₁₁	—	4	2	no	—
264	C₂×D₄×C₁₁	—	4	2	no	—
265	C₂×D₄×C₁₁	—	4	2	no	—
266	C₂²×C₄×C₁₁	—	2	2	no	—
267	C₂²×C₄×C₁₁	—	2	2	no	—
268	C₂²×C₄×C₁₁	—	2	2	no	—
269	C₂²×C₄×C₁₁	—	2	2	no	—
270	C₂²×C₄×C₁₁	—	2	2	no	—
271	C₂²×C₄×C₁₁	—	2	2	no	—
272	C₂²×C₄×C₁₁	—	2	2	no	—
273	C₂²×C₄×C₁₁	—	2	2	no	—
274	C₂²×C₄×C₁₁	—	2	2	no	—
275	C₂²×C₄×C₁₁	—	2	2	no	—
276	C₂²×C₄×C₁₁	—	2	2	no	—
277	C₂²×C₄×C₁₁	—	2	2	no	—
278	C₂²×C₄×C₁₁	—	2	4	no	—
279	C₂²×C₄×C₁₁	—	2	4	no	—
280	C₂²×C₄×C₁₁	—	4	1	no	—
281	C₂²×C₄×C₁₁	—	4	1	no	—
282	C₂²×C₄×C₁₁	—	4	1	no	—
283	C₂²×C₄×C₁₁	—	4	1	no	—
284	C₂²×C₄×C₁₁	—	4	1	no	—
285	C₂²×C₄×C₁₁	—	4	1	no	—
286	C₂²×C₄×C₁₁	—	4	1	no	—
287	C₂²×C₄×C₁₁	—	4	2	no	—
288	C₂²×C₄×C₁₁	—	4	2	no	—
289	C₂²×C₄×C₁₁	—	4	2	no	—
290	C₂²×C₄×C₁₁	—	4	2	no	—
291	C₂²×C₄×C₁₁	#41	1	4	yes	—
292	C₂²×C₄×C₁₁	#41	1	4	yes	—
293	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
294	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
295	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
309	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
313	C₁₁×C₄⋊C₄	—	2	2	no	—
314	C₁₁×C₄⋊C₄	—	2	2	no	—
315	C₁₁×C₄⋊C₄	—	2	2	no	—
316	C₁₁×C₄⋊C₄	—	2	2	no	—
317	C₁₁×C₄⋊C₄	—	2	2	no	—
318	C₁₁×C₄⋊C₄	—	2	2	no	—
319	C₁₁×C₄⋊C₄	—	2	2	no	—
320	C₁₁×C₄⋊C₄	—	2	2	no	—
321	C₁₁×C₄⋊C₄	—	2	4	no	—
322	C₁₁×C₄⋊C₄	—	2	2	no	—
323	C₁₁×C₄⋊C₄	—	2	2	no	—
324	C₁₁×C₄⋊C₄	—	2	2	no	—
325	C₁₁×C₄⋊C₄	—	2	4	no	—
326	C₁₁×C₄⋊C₄	—	2	4	no	—
327	C₁₁×C₄⋊C₄	—	2	2	no	—
328	C₁₁×C₄⋊C₄	—	4	2	no	—
329	C₁₁×C₄⋊C₄	—	4	2	no	—
330	C₁₁×C₄⋊C₄	—	4	2	no	—
331	C₁₁×C₄⋊C₄	—	4	2	no	—
332	C₁₁×C₄⋊C₄	#41	1	4	yes	—
333	C₁₁×C₂²⋊C₄	—	2	4	no	—
334	C₁₁×C₂²⋊C₄	—	2	4	no	—
335	C₁₁×C₂²⋊C₄	—	2	4	no	—
336	C₁₁×C₂²⋊C₄	—	2	4	no	—
337	C₁₁×C₂²⋊C₄	—	2	4	no	—
338	C₁₁×C₂²⋊C₄	—	2	4	no	—
339	C₁₁×C₂²⋊C₄	—	2	4	no	—
340	C₁₁×C₂²⋊C₄	—	2	4	no	—
341	C₁₁×C₂²⋊C₄	—	2	4	no	—
342	C₁₁×C₂²⋊C₄	—	2	4	no	—
343	C₁₁×C₂²⋊C₄	—	2	4	no	—
344	C₁₁×C₂²⋊C₄	—	2	4	no	—
345	C₁₁×C₂²⋊C₄	—	4	2	no	—
346	C₁₁×C₂²⋊C₄	—	4	2	no	—
347	C₁₁×C₂²⋊C₄	—	4	2	no	—
348	C₁₁×C₂²⋊C₄	—	4	2	no	—
349	C₁₁×C₂²⋊C₄	—	4	2	no	—
350	C₁₁×C₂²⋊C₄	—	4	2	no	—
351	C₁₁×C₂²⋊C₄	—	4	2	no	—
352	C₁₁×C₂²⋊C₄	—	4	2	no	—
353	C₁₁×C₂²⋊C₄	—	4	2	no	—
354	C₁₁×C₂²⋊C₄	—	4	2	no	—
355	C₄²×C₁₁	—	2	2	no	—
356	C₄²×C₁₁	—	2	2	no	—
357	C₄²×C₁₁	—	2	2	no	—
358	C₄²×C₁₁	—	2	2	no	—
359	C₄²×C₁₁	—	2	2	no	—
360	C₄²×C₁₁	—	2	2	no	—
361	C₄²×C₁₁	—	2	2	no	—
362	C₄²×C₁₁	—	4	1	no	—
363	C₄²×C₁₁	—	4	1	no	—
364	C₄²×C₁₁	—	4	1	no	—
365	C₄²×C₁₁	—	4	1	no	—
366	C₄²×C₁₁	—	4	2	no	—
367	C₄²×C₁₁	—	4	2	no	—
368	C₄²×C₁₁	—	4	2	no	—
369	C₄²×C₁₁	—	4	2	no	—
370	C₄²×C₁₁	#41	1	4	yes	—
371	#2856	C₂×C₁₁	1	1	yes	characteristic
372	#2850	C₂×C₁₁	1	1	yes	characteristic, complemented
373	#2850	C₂×C₁₁	1	1	yes	characteristic, complemented
374	#2595	C₂×C₁₁	1	2	yes	complemented
375	#2593	C₂×C₁₁	1	2	yes	complemented
376	#2591	C₂×C₁₁	1	2	yes	complemented
377	#2570	C₂×C₁₁	1	1	yes	characteristic, complemented
378	#2544	C₂×C₁₁	1	1	yes	characteristic, complemented
379	#2516	C₂×C₁₁	1	2	yes	complemented
380	#2513	C₂×C₁₁	1	1	yes	characteristic, complemented
381	#2511	C₂×C₁₁	1	1	yes	characteristic, complemented
382	#2448	C₂×C₁₁	1	1	yes	characteristic, complemented
383	#2445	C₂×C₁₁	1	1	yes	characteristic, complemented
384	#2444	C₂×C₁₁	1	2	yes	complemented
385	#2443	C₂×C₁₁	1	2	yes	complemented
386	#2374	C₂×C₁₁	1	2	yes	complemented
387	#2367	C₂×C₁₁	1	1	yes	characteristic, complemented
388	#2364	C₂×C₁₁	1	2	yes	complemented
389	#2357	C₂×C₁₁	1	1	yes	characteristic, complemented
390	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
391	C₄×#121	C₂×C₁₁	1	1	yes	characteristic, complemented
392	C₄×#121	C₂×C₁₁	1	1	yes	characteristic, complemented
393	C₂×C₄×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
394	C₂³×C₁₁	—	2	1	no	—
395	C₂³×C₁₁	—	2	1	no	—
396	C₂³×C₁₁	—	2	1	no	—
397	C₂³×C₁₁	—	2	1	no	—
398	C₂³×C₁₁	—	2	2	no	—
399	C₂³×C₁₁	—	2	2	no	—
400	C₂³×C₁₁	—	2	2	no	—
401	C₂³×C₁₁	—	2	2	no	—
402	C₂³×C₁₁	—	2	2	no	—
403	C₂³×C₁₁	—	2	2	no	—
404	C₂³×C₁₁	—	2	2	no	—
405	C₂³×C₁₁	—	2	2	no	—
406	C₂³×C₁₁	—	2	2	no	—
407	C₂³×C₁₁	—	2	2	no	—
408	C₂³×C₁₁	—	2	2	no	—
409	C₂³×C₁₁	—	2	2	no	—
410	C₂³×C₁₁	—	2	2	no	—
411	C₂³×C₁₁	—	2	2	no	—
412	C₂³×C₁₁	C₂×#41	1	2	yes	—
413	C₂³×C₁₁	C₂×#41	1	2	yes	—
414	C₂³×C₁₁	H(5,𝔽₂)	1	2	yes	—
415	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
416	Q₈×C₁₁	—	4	4	no	—
417	D₄×C₁₁	—	4	8	no	—
418	D₄×C₁₁	—	4	8	no	—
419	D₄×C₁₁	—	4	4	no	—
420	D₄×C₁₁	—	4	4	no	—
421	D₄×C₁₁	—	8	4	no	—
422	D₄×C₁₁	—	8	4	no	—
423	C₂×C₄×C₁₁	—	2	8	no	—
424	C₂×C₄×C₁₁	—	2	1	no	—
425	C₂×C₄×C₁₁	—	2	1	no	—
426	C₂×C₄×C₁₁	—	2	1	no	—
427	C₂×C₄×C₁₁	—	2	1	no	—
428	C₂×C₄×C₁₁	—	2	1	no	—
429	C₂×C₄×C₁₁	—	2	1	no	—
430	C₂×C₄×C₁₁	—	2	1	no	—
431	C₂×C₄×C₁₁	—	2	1	no	—
432	C₂×C₄×C₁₁	—	2	1	no	—
433	C₂×C₄×C₁₁	—	2	1	no	—
434	C₂×C₄×C₁₁	—	2	1	no	—
435	C₂×C₄×C₁₁	—	2	1	no	—
436	C₂×C₄×C₁₁	—	2	1	no	—
437	C₂×C₄×C₁₁	—	2	1	no	—
438	C₂×C₄×C₁₁	—	2	1	no	—
439	C₂×C₄×C₁₁	—	2	1	no	—
440	C₂×C₄×C₁₁	—	2	8	no	—
441	C₂×C₄×C₁₁	—	2	1	no	—
442	C₂×C₄×C₁₁	—	2	2	no	—
443	C₂×C₄×C₁₁	—	2	2	no	—
444	C₂×C₄×C₁₁	—	2	2	no	—
445	C₂×C₄×C₁₁	—	2	2	no	—
446	C₂×C₄×C₁₁	—	2	2	no	—
447	C₂×C₄×C₁₁	—	2	2	no	—
448	C₂×C₄×C₁₁	—	2	2	no	—
449	C₂×C₄×C₁₁	—	2	2	no	—
450	C₂×C₄×C₁₁	—	2	2	no	—
451	C₂×C₄×C₁₁	—	2	2	no	—
452	C₂×C₄×C₁₁	—	2	1	no	—
453	C₂×C₄×C₁₁	—	2	1	no	—
454	C₂×C₄×C₁₁	—	2	1	no	—
455	C₂×C₄×C₁₁	—	2	1	no	—
456	C₂×C₄×C₁₁	—	2	1	no	—
457	C₂×C₄×C₁₁	—	2	1	no	—
458	C₂×C₄×C₁₁	—	2	1	no	—
459	C₂×C₄×C₁₁	—	2	1	no	—
460	C₂×C₄×C₁₁	—	2	2	no	—
461	C₂×C₄×C₁₁	—	2	2	no	—
462	C₂×C₄×C₁₁	—	2	2	no	—
463	C₂×C₄×C₁₁	—	2	2	no	—
464	C₂×C₄×C₁₁	—	2	2	no	—
465	C₂×C₄×C₁₁	—	2	2	no	—
466	C₂×C₄×C₁₁	—	2	1	no	—
467	C₂×C₄×C₁₁	—	2	1	no	—
468	C₂×C₄×C₁₁	—	2	1	no	—
469	C₂×C₄×C₁₁	—	2	2	no	—
470	C₂×C₄×C₁₁	—	2	2	no	—
471	C₂×C₄×C₁₁	—	2	1	no	—
472	C₂×C₄×C₁₁	—	2	1	no	—
473	C₂×C₄×C₁₁	—	2	1	no	—
474	C₂×C₄×C₁₁	—	4	4	no	—
475	C₂×C₄×C₁₁	—	4	4	no	—
476	C₂×C₄×C₁₁	—	4	4	no	—
477	C₂×C₄×C₁₁	—	4	4	no	—
478	C₂×C₄×C₁₁	—	4	4	no	—
479	C₂×C₄×C₁₁	—	8	4	no	—
480	C₂×C₄×C₁₁	—	8	4	no	—
481	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
482	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
483	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
484	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
485	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
486	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
487	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
488	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
489	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
490	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
491	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
492	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
493	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
494	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
495	C₂×#123	C₂²×C₁₁	1	2	yes	—
496	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
497	C₂×#121	C₂²×C₁₁	1	2	yes	—
498	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
499	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
500	C₂×#121	C₂²×C₁₁	1	2	yes	—
501	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
502	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
503	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
504	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
505	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
506	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
507	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
508	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
509	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
510	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
511	#400	C₂²×C₁₁	1	2	yes	—
512	#400	C₂²×C₁₁	1	2	yes	—
513	#400	C₂²×C₁₁	1	2	yes	—
514	#399	C₂²×C₁₁	1	2	yes	—
515	#398	C₂²×C₁₁	1	2	yes	—
516	#397	C₂²×C₁₁	1	2	yes	—
517	#397	C₂²×C₁₁	1	2	yes	—
518	#397	C₂²×C₁₁	1	2	yes	—
519	#394	C₂²×C₁₁	1	2	yes	—
520	#394	C₂²×C₁₁	1	2	yes	—
521	#394	C₂²×C₁₁	1	2	yes	—
522	#394	C₂²×C₁₁	1	2	yes	—
523	#391	C₂²×C₁₁	1	1	yes	characteristic
524	#391	C₂²×C₁₁	1	1	yes	characteristic
525	#391	C₂²×C₁₁	1	1	yes	characteristic
526	#390	C₂²×C₁₁	1	2	yes	—
527	#390	C₂²×C₁₁	1	1	yes	characteristic
528	#390	C₂²×C₁₁	1	1	yes	characteristic
529	#390	C₂²×C₁₁	1	2	yes	—
530	#390	C₂²×C₁₁	1	1	yes	characteristic
531	#390	C₂²×C₁₁	1	1	yes	characteristic
532	#390	C₂²×C₁₁	1	1	yes	characteristic
533	#390	C₂²×C₁₁	1	1	yes	characteristic
534	#389	C₂²×C₁₁	1	1	yes	characteristic
535	#389	C₂²×C₁₁	1	1	yes	characteristic
536	#389	C₂²×C₁₁	1	1	yes	characteristic
537	#388	C₂²×C₁₁	1	2	yes	—
538	#388	C₂²×C₁₁	1	2	yes	—
539	#388	C₂²×C₁₁	1	2	yes	—
540	#388	C₂²×C₁₁	1	2	yes	—
541	#388	C₂²×C₁₁	1	2	yes	—
542	#388	C₂²×C₁₁	1	2	yes	—
543	#388	C₂²×C₁₁	1	2	yes	—
544	#388	C₂²×C₁₁	1	2	yes	—
545	#388	C₂²×C₁₁	1	2	yes	—
546	#388	C₂²×C₁₁	1	2	yes	—
547	#388	C₂²×C₁₁	1	2	yes	—
548	#388	C₂²×C₁₁	1	2	yes	—
549	#388	C₂²×C₁₁	1	2	yes	—
550	#388	C₂²×C₁₁	1	2	yes	—
551	#387	C₂²×C₁₁	1	2	yes	—
552	#387	C₂²×C₁₁	1	2	yes	—
553	#387	C₂²×C₁₁	1	2	yes	—
554	#387	C₂²×C₁₁	1	2	yes	—
555	#387	C₂²×C₁₁	1	2	yes	—
556	#386	C₂²×C₁₁	1	2	yes	—
557	#386	C₂²×C₁₁	1	2	yes	—
558	#386	C₂²×C₁₁	1	2	yes	—
559	#386	C₂²×C₁₁	1	2	yes	—
560	#386	C₂²×C₁₁	1	2	yes	—
561	#386	C₂²×C₁₁	1	2	yes	—
562	#386	C₂²×C₁₁	1	2	yes	—
563	#386	C₂²×C₁₁	1	2	yes	—
564	#386	C₂²×C₁₁	1	2	yes	—
565	#385	C₂²×C₁₁	1	2	yes	—
566	#385	C₂²×C₁₁	1	2	yes	—
567	#384	C₂²×C₁₁	1	1	yes	characteristic
568	#382	C₂²×C₁₁	1	1	yes	characteristic
569	#382	C₂²×C₁₁	1	1	yes	characteristic
570	#381	C₂²×C₁₁	1	2	yes	—
571	#380	C₂²×C₁₁	1	1	yes	characteristic
572	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
573	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
574	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
575	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
576	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
577	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
578	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
579	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
580	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
581	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
582	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
583	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
584	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
585	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
586	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
587	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
588	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
589	C₂×#95	C₂²×C₁₁	1	1	yes	characteristic
590	C₂×#95	C₂²×C₁₁	1	1	yes	characteristic
591	C₂²×C₁₁	—	2	2	no	—
592	C₂²×C₁₁	—	2	2	no	—
593	C₂²×C₁₁	—	2	2	no	—
594	C₂²×C₁₁	—	2	2	no	—
595	C₂²×C₁₁	—	2	2	no	—
596	C₂²×C₁₁	—	2	2	no	—
597	C₂²×C₁₁	—	4	2	no	—
598	C₂²×C₁₁	—	4	2	no	—
599	C₂²×C₁₁	—	4	2	no	—
600	C₂²×C₁₁	—	4	2	no	—
601	C₂²×C₁₁	—	4	2	no	—
602	C₂²×C₁₁	—	4	2	no	—
603	C₂²×C₁₁	—	4	2	no	—
604	C₂²×C₁₁	—	4	2	no	—
605	C₂²×C₁₁	—	4	2	no	—
606	C₂²×C₁₁	—	4	2	no	—
607	C₂²×C₁₁	—	4	2	no	—
608	C₂²×C₁₁	—	4	2	no	—
609	C₂²×C₁₁	—	4	2	no	—
610	C₂²×C₁₁	—	4	2	no	—
611	C₂²×C₁₁	#559	1	4	yes	—
612	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
613	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
614	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
615	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
616	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
617	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
618	C₂²×C₁₁	#585	1	1	yes	characteristic
619	C₄×C₁₁	—	2	2	no	—
620	C₄×C₁₁	—	2	2	no	—
621	C₄×C₁₁	—	2	2	no	—
622	C₄×C₁₁	—	2	2	no	—
623	C₄×C₁₁	—	2	2	no	—
624	C₄×C₁₁	—	2	2	no	—
625	C₄×C₁₁	—	2	2	no	—
626	C₄×C₁₁	—	2	2	no	—
627	C₄×C₁₁	—	4	2	no	—
628	C₄×C₁₁	—	4	2	no	—
629	C₄×C₁₁	—	4	2	no	—
630	C₄×C₁₁	—	4	2	no	—
631	C₄×C₁₁	—	4	1	no	—
632	C₄×C₁₁	—	4	2	no	—
633	C₄×C₁₁	—	4	1	no	—
634	C₄×C₁₁	—	4	1	no	—
635	C₄×C₁₁	—	4	1	no	—
636	C₄×C₁₁	—	4	1	no	—
637	C₄×C₁₁	—	4	2	no	—
638	C₄×C₁₁	#553	1	4	yes	—
639	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
640	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
641	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
642	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
643	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
644	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
645	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
646	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
647	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
648	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
649	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
650	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
651	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
652	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
653	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
654	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
655	#127	—	4	2	no	—
656	#124	—	2	4	no	—
657	#124	—	4	2	no	—
658	#123	—	2	8	no	—
659	C₂²⋊Q₈	—	2	4	no	—
660	#121	—	2	4	no	—
661	#121	—	2	4	no	—
662	#121	—	2	8	no	—
663	#121	—	4	4	no	—
664	C₄×Q₈	—	4	2	no	—
665	C₄×D₄	—	2	4	no	—
666	C₄×D₄	—	4	2	no	—
667	C₄×D₄	—	4	4	no	—
668	C₄×D₄	—	4	4	no	—
669	C₂×C₄⋊C₄	—	2	4	no	—
670	C₂×C₄⋊C₄	—	2	4	no	—
671	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
673	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
674	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
675	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
682	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
683	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
685	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
686	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
687	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
688	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
689	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
690	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
695	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
705	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
706	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
709	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
710	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
712	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
713	C₂×C₄²	—	2	4	no	—
714	C₂×C₄²	—	4	2	no	—
715	C₂×C₄²	—	4	2	no	—
716	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
717	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
718	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
719	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
720	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
721	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
722	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
723	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
724	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
725	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
726	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
727	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
728	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
729	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
730	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
731	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
732	#95	C₂³×C₁₁	1	1	yes	characteristic
733	#95	C₂³×C₁₁	1	1	yes	characteristic
734	#95	C₂³×C₁₁	1	1	yes	characteristic
735	#95	C₂³×C₁₁	1	1	yes	characteristic
736	#95	C₂³×C₁₁	1	1	yes	characteristic
737	#95	C₂³×C₁₁	1	1	yes	characteristic
738	#95	C₂³×C₁₁	1	1	yes	characteristic
739	#95	C₂³×C₁₁	1	1	yes	characteristic
740	#95	C₂³×C₁₁	1	2	yes	—
741	#95	C₂³×C₁₁	1	2	yes	—
742	#95	C₂³×C₁₁	1	2	yes	—
743	#95	C₂³×C₁₁	1	2	yes	—
744	#95	C₂³×C₁₁	1	2	yes	—
745	#95	C₂³×C₁₁	1	2	yes	—
746	#95	C₂³×C₁₁	1	2	yes	—
747	#95	C₂³×C₁₁	1	2	yes	—
748	#95	C₂³×C₁₁	1	2	yes	—
749	#95	C₂³×C₁₁	1	2	yes	—
750	#95	C₂³×C₁₁	1	2	yes	—
751	#95	C₂³×C₁₁	1	2	yes	—
752	#95	C₂³×C₁₁	1	2	yes	—
753	#95	C₂³×C₁₁	1	2	yes	—
754	#95	C₂³×C₁₁	1	2	yes	—
755	#95	C₂³×C₁₁	1	2	yes	—
756	#95	C₂³×C₁₁	1	2	yes	—
757	C₂×C₁₁	—	2	4	no	—
758	C₂×C₁₁	—	8	2	no	—
759	C₂×C₁₁	—	8	2	no	—
760	C₂×C₁₁	#3444	1	1	yes	characteristic
761	C₂×C₁₁	C₂×#553	1	1	yes	characteristic
762	C₂×C₁₁	C₂×#559	1	1	yes	characteristic
763	C₂×C₁₁	#3480	1	1	yes	characteristic
764	C₂×C₁₁	#3494	1	1	yes	characteristic
765	C₂×C₁₁	#3505	1	1	yes	characteristic
766	C₂×C₁₁	#3519	1	1	yes	characteristic
767	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
768	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
769	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
770	C₂×Q₈	—	2	2	no	—
771	C₂×Q₈	—	2	2	no	—
772	C₂×Q₈	—	2	2	no	—
773	C₂×D₄	—	2	4	no	—
774	C₂×D₄	—	2	4	no	—
775	C₂×D₄	—	2	4	no	—
776	C₂×D₄	—	2	4	no	—
777	C₂×D₄	—	2	4	no	—
778	C₂×D₄	—	2	4	no	—
779	C₂×D₄	—	2	2	no	—
780	C₂×D₄	—	2	2	no	—
781	C₂×D₄	—	2	2	no	—
782	C₂×D₄	—	2	2	no	—
783	C₂×D₄	—	2	4	no	—
784	C₂×D₄	—	2	4	no	—
785	C₂×D₄	—	2	2	no	—
786	C₂×D₄	—	2	2	no	—
787	C₂×D₄	—	4	2	no	—
788	C₂×D₄	—	4	2	no	—
789	C₂×D₄	—	4	2	no	—
790	C₂×D₄	—	4	2	no	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	2	no	—
795	C₂²×C₄	—	2	2	no	—
796	C₂²×C₄	—	2	2	no	—
797	C₂²×C₄	—	2	2	no	—
798	C₂²×C₄	—	2	2	no	—
799	C₂²×C₄	—	2	2	no	—
800	C₂²×C₄	—	2	2	no	—
801	C₂²×C₄	—	2	2	no	—
802	C₂²×C₄	—	2	2	no	—
803	C₂²×C₄	—	2	4	no	—
804	C₂²×C₄	—	2	4	no	—
805	C₂²×C₄	—	4	1	no	—
806	C₂²×C₄	—	4	1	no	—
807	C₂²×C₄	—	4	1	no	—
808	C₂²×C₄	—	4	1	no	—
809	C₂²×C₄	—	4	1	no	—
810	C₂²×C₄	—	4	1	no	—
811	C₂²×C₄	—	4	1	no	—
812	C₂²×C₄	—	4	2	no	—
813	C₂²×C₄	—	4	2	no	—
814	C₂²×C₄	—	4	2	no	—
815	C₂²×C₄	—	4	2	no	—
816	C₂²×C₄	C₁₁×#41	1	4	yes	—
817	C₂²×C₄	C₁₁×#41	1	4	yes	—
818	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
819	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
820	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
821	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
823	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
824	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
825	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
826	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
827	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
828	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
829	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
830	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
831	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
832	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
833	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
834	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
835	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
836	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
837	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
838	C₄⋊C₄	—	2	2	no	—
839	C₄⋊C₄	—	2	2	no	—
840	C₄⋊C₄	—	2	2	no	—
841	C₄⋊C₄	—	2	2	no	—
842	C₄⋊C₄	—	2	2	no	—
843	C₄⋊C₄	—	2	2	no	—
844	C₄⋊C₄	—	2	2	no	—
845	C₄⋊C₄	—	2	2	no	—
846	C₄⋊C₄	—	2	4	no	—
847	C₄⋊C₄	—	2	2	no	—
848	C₄⋊C₄	—	2	2	no	—
849	C₄⋊C₄	—	2	2	no	—
850	C₄⋊C₄	—	2	4	no	—
851	C₄⋊C₄	—	2	4	no	—
852	C₄⋊C₄	—	2	2	no	—
853	C₄⋊C₄	—	4	2	no	—
854	C₄⋊C₄	—	4	2	no	—
855	C₄⋊C₄	—	4	2	no	—
856	C₄⋊C₄	—	4	2	no	—
857	C₄⋊C₄	C₁₁×#41	1	4	yes	—
858	C₂²⋊C₄	—	2	4	no	—
859	C₂²⋊C₄	—	2	4	no	—
860	C₂²⋊C₄	—	2	4	no	—
861	C₂²⋊C₄	—	2	4	no	—
862	C₂²⋊C₄	—	2	4	no	—
863	C₂²⋊C₄	—	2	4	no	—
864	C₂²⋊C₄	—	2	4	no	—
865	C₂²⋊C₄	—	2	4	no	—
866	C₂²⋊C₄	—	2	4	no	—
867	C₂²⋊C₄	—	2	4	no	—
868	C₂²⋊C₄	—	2	4	no	—
869	C₂²⋊C₄	—	2	4	no	—
870	C₂²⋊C₄	—	4	2	no	—
871	C₂²⋊C₄	—	4	2	no	—
872	C₂²⋊C₄	—	4	2	no	—
873	C₂²⋊C₄	—	4	2	no	—
874	C₂²⋊C₄	—	4	2	no	—
875	C₂²⋊C₄	—	4	2	no	—
876	C₂²⋊C₄	—	4	2	no	—
877	C₂²⋊C₄	—	4	2	no	—
878	C₂²⋊C₄	—	4	2	no	—
879	C₂²⋊C₄	—	4	2	no	—
880	C₄²	—	2	2	no	—
881	C₄²	—	2	2	no	—
882	C₄²	—	2	2	no	—
883	C₄²	—	2	2	no	—
884	C₄²	—	2	2	no	—
885	C₄²	—	2	2	no	—
886	C₄²	—	2	2	no	—
887	C₄²	—	4	1	no	—
888	C₄²	—	4	1	no	—
889	C₄²	—	4	1	no	—
890	C₄²	—	4	1	no	—
891	C₄²	—	4	2	no	—
892	C₄²	—	4	2	no	—
893	C₄²	—	4	2	no	—
894	C₄²	—	4	2	no	—
895	C₄²	C₁₁×#41	1	4	yes	—
896	C₁₁	#36606	1	1	yes	characteristic, direct product factor, Sylow
897	C₂³	—	2	1	no	—
898	C₂³	—	2	1	no	—
899	C₂³	—	2	1	no	—
900	C₂³	—	2	1	no	—
901	C₂³	—	2	2	no	—
902	C₂³	—	2	2	no	—
903	C₂³	—	2	2	no	—
904	C₂³	—	2	2	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	2	no	—
907	C₂³	—	2	2	no	—
908	C₂³	—	2	2	no	—
909	C₂³	—	2	2	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	2	no	—
912	C₂³	—	2	2	no	—
913	C₂³	—	2	2	no	—
914	C₂³	—	2	2	no	—
915	C₂³	C₂×C₁₁×#41	1	2	yes	—
916	C₂³	C₂×C₁₁×#41	1	2	yes	—
917	C₂³	C₁₁×H(5,𝔽₂)	1	2	yes	—
918	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
919	Q₈	—	4	4	no	—
920	D₄	—	4	8	no	—
921	D₄	—	4	8	no	—
922	D₄	—	4	4	no	—
923	D₄	—	4	4	no	—
924	D₄	—	8	4	no	—
925	D₄	—	8	4	no	—
926	C₂×C₄	—	2	8	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	1	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	1	no	—
936	C₂×C₄	—	2	1	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	1	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	1	no	—
942	C₂×C₄	—	2	1	no	—
943	C₂×C₄	—	2	8	no	—
944	C₂×C₄	—	2	1	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	2	no	—
952	C₂×C₄	—	2	2	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	2	no	—
955	C₂×C₄	—	2	1	no	—
956	C₂×C₄	—	2	1	no	—
957	C₂×C₄	—	2	1	no	—
958	C₂×C₄	—	2	1	no	—
959	C₂×C₄	—	2	1	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	1	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	2	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	4	4	no	—
978	C₂×C₄	—	4	4	no	—
979	C₂×C₄	—	4	4	no	—
980	C₂×C₄	—	4	4	no	—
981	C₂×C₄	—	4	4	no	—
982	C₂×C₄	—	8	4	no	—
983	C₂×C₄	—	8	4	no	—
984	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
985	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
986	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
987	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
988	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
989	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
990	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
991	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
992	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
993	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
994	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
995	C₂²	—	2	2	no	—
996	C₂²	—	2	2	no	—
997	C₂²	—	2	2	no	—
998	C₂²	—	2	2	no	—
999	C₂²	—	2	2	no	—
1000	C₂²	—	2	2	no	—
1001	C₂²	—	4	2	no	—
1002	C₂²	—	4	2	no	—
1003	C₂²	—	4	2	no	—
1004	C₂²	—	4	2	no	—
1005	C₂²	—	4	2	no	—
1006	C₂²	—	4	2	no	—
1007	C₂²	—	4	2	no	—
1008	C₂²	—	4	2	no	—
1009	C₂²	—	4	2	no	—
1010	C₂²	—	4	2	no	—
1011	C₂²	—	4	2	no	—
1012	C₂²	—	4	2	no	—
1013	C₂²	—	4	2	no	—
1014	C₂²	—	4	2	no	—
1015	C₂²	C₁₁×#559	1	4	yes	—
1016	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
1017	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
1018	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
1019	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
1020	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1021	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1022	C₂²	C₁₁×#585	1	1	yes	characteristic
1023	C₄	—	2	2	no	—
1024	C₄	—	2	2	no	—
1025	C₄	—	2	2	no	—
1026	C₄	—	2	2	no	—
1027	C₄	—	2	2	no	—
1028	C₄	—	2	2	no	—
1029	C₄	—	2	2	no	—
1030	C₄	—	2	2	no	—
1031	C₄	—	4	2	no	—
1032	C₄	—	4	2	no	—
1033	C₄	—	4	2	no	—
1034	C₄	—	4	2	no	—
1035	C₄	—	4	1	no	—
1036	C₄	—	4	2	no	—
1037	C₄	—	4	1	no	—
1038	C₄	—	4	1	no	—
1039	C₄	—	4	1	no	—
1040	C₄	—	4	1	no	—
1041	C₄	—	4	2	no	—
1042	C₄	C₁₁×#553	1	4	yes	—
1043	C₂	—	2	4	no	—
1044	C₂	—	8	2	no	—
1045	C₂	—	8	2	no	—
1046	C₂	C₁₁×#3444	1	1	yes	characteristic
1047	C₂	C₂×C₁₁×#553	1	1	yes	characteristic
1048	C₂	C₂×C₁₁×#559	1	1	yes	characteristic
1049	C₂	C₁₁×#3480	1	1	yes	characteristic
1050	C₂	C₁₁×#3494	1	1	yes	characteristic
1051	C₂	C₁₁×#3505	1	1	yes	characteristic
1052	C₂	C₁₁×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₁₁×#2856	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#2850	C₂	semidirect
3. C₁₁×#2850	C₂	semidirect
4. C₁₁×#2595	C₂	semidirect
5. C₁₁×#2593	C₂	semidirect
6. C₁₁×#2591	C₂	semidirect
7. C₁₁×#2570	C₂	semidirect
8. C₁₁×#2544	C₂	semidirect
9. C₁₁×#2516	C₂	semidirect
10. C₁₁×#2513	C₂	semidirect
11. C₁₁×#2511	C₂	semidirect
12. C₁₁×#2448	C₂	semidirect
13. C₁₁×#2445	C₂	semidirect
14. C₁₁×#2444	C₂	semidirect
15. C₁₁×#2443	C₂	semidirect
16. C₁₁×#2374	C₂	semidirect
17. C₁₁×#2367	C₂	semidirect
18. C₁₁×#2364	C₂	semidirect
19. C₁₁×#2357	C₂	semidirect
20. C₄×C₁₁×C₂²⋊Q₈	C₂	semidirect
21. C₄×C₁₁×#121	C₂	semidirect
22. C₄×C₁₁×#121	C₂	semidirect
23. C₂×C₄×C₁₁×C₄⋊C₄	C₂	semidirect
241. #36606	C₁₁	direct (N × H)
372. #2850	C₂×C₁₁	semidirect
373. #2850	C₂×C₁₁	semidirect
374. #2595	C₂×C₁₁	semidirect
375. #2593	C₂×C₁₁	semidirect
376. #2591	C₂×C₁₁	semidirect
377. #2570	C₂×C₁₁	semidirect
378. #2544	C₂×C₁₁	semidirect
379. #2516	C₂×C₁₁	semidirect
380. #2513	C₂×C₁₁	semidirect
381. #2511	C₂×C₁₁	semidirect
382. #2448	C₂×C₁₁	semidirect
383. #2445	C₂×C₁₁	semidirect
384. #2444	C₂×C₁₁	semidirect
385. #2443	C₂×C₁₁	semidirect
386. #2374	C₂×C₁₁	semidirect
387. #2367	C₂×C₁₁	semidirect
388. #2364	C₂×C₁₁	semidirect
389. #2357	C₂×C₁₁	semidirect
390. C₄×C₂²⋊Q₈	C₂×C₁₁	semidirect
391. C₄×#121	C₂×C₁₁	semidirect
392. C₄×#121	C₂×C₁₁	semidirect
393. C₂×C₄×C₄⋊C₄	C₂×C₁₁	semidirect
896. C₁₁	#36606	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₁×#2856	2
C₁₁×#2850	2
C₁₁×#2595	2
C₁₁×#2593	2
C₁₁×#2591	2
C₁₁×#2570	2
C₁₁×#2544	2
C₁₁×#2516	2
C₁₁×#2513	2
C₁₁×#2511	2
C₁₁×#2448	2
C₁₁×#2445	2
C₁₁×#2444	2
C₁₁×#2443	2
C₁₁×#2374	2
C₁₁×#2367	2
C₁₁×#2364	2
C₁₁×#2357	2
C₄×C₁₁×C₂²⋊Q₈	2
C₄×C₁₁×#121	2
C₂×C₄×C₁₁×C₄⋊C₄	2
#36606	11

Subgroups — C11×#36606 #14613799

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36606 #14613799