Subgroups — C₁₁×#36570 #14613763

Order 2816.

1976 conjugacy classes of subgroups.

The subgroup lattice has 1006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2857	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#2851	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#2851	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#2587	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2579	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2574	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2566	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2550	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2522	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2508	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2507	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2454	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2452	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2450	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2449	C₂	1	2	yes	maximal, complemented
16	C₁₁×#2370	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2368	C₂	1	2	yes	maximal, complemented
18	C₁₁×#2349	C₂	1	2	yes	maximal, complemented
19	C₁₁×#2349	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₁×#121	C₂	1	1	yes	maximal, characteristic
21	C₄×C₁₁×#121	C₂	1	1	yes	maximal, characteristic
22	C₄×C₁₁×#121	C₂	1	1	yes	maximal, characteristic
23	C₂×C₄×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
28	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
29	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
31	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
32	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
33	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
36	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
37	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
38	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
39	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
40	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
41	C₁₁×#400	C₂²	1	2	yes	—
42	C₁₁×#399	C₂²	1	2	yes	—
43	C₁₁×#398	C₂²	1	2	yes	—
44	C₁₁×#398	C₂²	1	2	yes	—
45	C₁₁×#398	C₂²	1	2	yes	—
46	C₁₁×#398	C₂²	1	2	yes	—
47	C₁₁×#396	C₂²	1	2	yes	—
48	C₁₁×#396	C₂²	1	2	yes	—
49	C₁₁×#396	C₂²	1	2	yes	—
50	C₁₁×#396	C₂²	1	2	yes	—
51	C₁₁×#395	C₂²	1	2	yes	—
52	C₁₁×#393	C₂²	1	2	yes	—
53	C₁₁×#391	C₂²	1	2	yes	—
54	C₁₁×#391	C₂²	1	2	yes	—
55	C₁₁×#390	C₂²	1	1	yes	characteristic
56	C₁₁×#390	C₂²	1	1	yes	characteristic
57	C₁₁×#390	C₂²	1	1	yes	characteristic
58	C₁₁×#389	C₂²	1	2	yes	—
59	C₁₁×#389	C₂²	1	1	yes	characteristic
60	C₁₁×#389	C₂²	1	1	yes	characteristic
61	C₁₁×#389	C₂²	1	1	yes	characteristic
62	C₁₁×#389	C₂²	1	1	yes	characteristic
63	C₁₁×#389	C₂²	1	1	yes	characteristic
64	C₁₁×#389	C₂²	1	1	yes	characteristic
65	C₁₁×#389	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×#389	C₂²	1	2	yes	—
70	C₁₁×#389	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×#387	C₂²	1	2	yes	—
75	C₁₁×#387	C₂²	1	2	yes	—
76	C₁₁×#387	C₂²	1	2	yes	—
77	C₁₁×#387	C₂²	1	2	yes	—
78	C₁₁×#387	C₂²	1	2	yes	—
79	C₁₁×#387	C₂²	1	2	yes	—
80	C₁₁×#387	C₂²	1	2	yes	—
81	C₁₁×#387	C₂²	1	2	yes	—
82	C₁₁×#386	C₂²	1	2	yes	—
83	C₁₁×#386	C₂²	1	2	yes	—
84	C₁₁×#386	C₂²	1	2	yes	—
85	C₁₁×#385	C₂²	1	2	yes	—
86	C₁₁×#385	C₂²	1	2	yes	—
87	C₁₁×#385	C₂²	1	2	yes	—
88	C₁₁×#385	C₂²	1	2	yes	—
89	C₁₁×#385	C₂²	1	2	yes	—
90	C₁₁×#385	C₂²	1	2	yes	—
91	C₁₁×#385	C₂²	1	2	yes	—
92	C₁₁×#385	C₂²	1	2	yes	—
93	C₁₁×#385	C₂²	1	2	yes	—
94	C₁₁×#385	C₂²	1	2	yes	—
95	C₁₁×#384	C₂²	1	1	yes	characteristic
96	C₁₁×#382	C₂²	1	1	yes	characteristic
97	C₁₁×#382	C₂²	1	2	yes	—
98	C₁₁×#382	C₂²	1	1	yes	characteristic
99	C₁₁×#380	C₂²	1	2	yes	—
100	C₁₁×#380	C₂²	1	2	yes	—
101	C₁₁×#380	C₂²	1	1	yes	characteristic
102	C₁₁×#380	C₂²	1	1	yes	characteristic
103	C₁₁×#380	C₂²	1	1	yes	characteristic
104	C₁₁×#380	C₂²	1	2	yes	—
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	1	yes	characteristic
116	C₄×C₁₁×C₄⋊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	C₂×C₁₁×#95	C₂²	1	1	yes	characteristic
121	C₂×C₁₁×#95	C₂²	1	1	yes	characteristic
122	C₂×C₁₁×#95	C₂²	1	2	yes	—
123	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
124	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
128	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
130	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
133	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
135	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
136	C₁₁×C₄⋊Q₈	—	4	2	no	—
137	C₁₁×#125	—	2	4	no	—
138	C₁₁×#125	—	4	2	no	—
139	C₁₁×C₂²⋊Q₈	—	2	8	no	—
140	C₁₁×C₂²⋊Q₈	—	4	4	no	—
141	C₁₁×#121	Q₈	1	8	yes	complemented
142	C₄×D₄×C₁₁	—	2	8	no	—
143	C₄×D₄×C₁₁	—	2	4	no	—
144	C₄×D₄×C₁₁	—	4	2	no	—
145	C₄×D₄×C₁₁	—	4	2	no	—
146	C₄×D₄×C₁₁	—	4	4	no	—
147	C₄×D₄×C₁₁	—	4	4	no	—
148	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
149	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
150	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
152	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
153	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
154	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
165	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
175	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²×C₁₁	—	2	4	no	—
195	C₂×C₄²×C₁₁	—	4	2	no	—
196	C₂×C₄²×C₁₁	—	4	2	no	—
197	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
198	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
210	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
211	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
212	C₁₁×#95	C₂³	1	1	yes	characteristic
213	C₁₁×#95	C₂³	1	1	yes	characteristic
214	C₁₁×#95	C₂³	1	1	yes	characteristic
215	C₁₁×#95	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	2	yes	—
221	C₁₁×#95	C₂³	1	2	yes	—
222	C₁₁×#95	C₂³	1	2	yes	—
223	C₁₁×#95	C₂³	1	2	yes	—
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	#36570	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
240	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
241	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
242	C₂×Q₈×C₁₁	—	2	4	no	—
243	C₂×Q₈×C₁₁	—	4	2	no	—
244	C₂×Q₈×C₁₁	—	4	2	no	—
245	C₂×D₄×C₁₁	—	2	4	no	—
246	C₂×D₄×C₁₁	—	2	4	no	—
247	C₂×D₄×C₁₁	—	2	2	no	—
248	C₂×D₄×C₁₁	—	2	2	no	—
249	C₂×D₄×C₁₁	C₂×Q₈	1	8	yes	—
250	C₂×D₄×C₁₁	C₂×Q₈	1	4	yes	—
251	C₂²×C₄×C₁₁	—	2	2	no	—
252	C₂²×C₄×C₁₁	—	2	2	no	—
253	C₂²×C₄×C₁₁	—	2	2	no	—
254	C₂²×C₄×C₁₁	—	2	2	no	—
255	C₂²×C₄×C₁₁	—	2	2	no	—
256	C₂²×C₄×C₁₁	—	2	2	no	—
257	C₂²×C₄×C₁₁	—	2	2	no	—
258	C₂²×C₄×C₁₁	—	2	2	no	—
259	C₂²×C₄×C₁₁	—	2	2	no	—
260	C₂²×C₄×C₁₁	—	2	2	no	—
261	C₂²×C₄×C₁₁	—	2	2	no	—
262	C₂²×C₄×C₁₁	—	2	2	no	—
263	C₂²×C₄×C₁₁	—	2	4	no	—
264	C₂²×C₄×C₁₁	—	2	4	no	—
265	C₂²×C₄×C₁₁	—	2	4	no	—
266	C₂²×C₄×C₁₁	—	4	1	no	—
267	C₂²×C₄×C₁₁	—	4	1	no	—
268	C₂²×C₄×C₁₁	—	4	1	no	—
269	C₂²×C₄×C₁₁	—	4	1	no	—
270	C₂²×C₄×C₁₁	—	4	1	no	—
271	C₂²×C₄×C₁₁	—	4	1	no	—
272	C₂²×C₄×C₁₁	—	4	1	no	—
273	C₂²×C₄×C₁₁	—	4	2	no	—
274	C₂²×C₄×C₁₁	—	4	2	no	—
275	C₂²×C₄×C₁₁	—	4	2	no	—
276	C₂²×C₄×C₁₁	—	4	2	no	—
277	C₂²×C₄×C₁₁	—	4	2	no	—
278	C₂²×C₄×C₁₁	—	4	2	no	—
279	C₂²×C₄×C₁₁	C₂×Q₈	1	4	yes	—
280	C₂²×C₄×C₁₁	#41	1	4	yes	—
281	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
282	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
283	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
284	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
286	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
287	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
291	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
292	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
293	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
300	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
302	C₁₁×C₄⋊C₄	—	2	2	no	—
303	C₁₁×C₄⋊C₄	—	2	2	no	—
304	C₁₁×C₄⋊C₄	—	2	2	no	—
305	C₁₁×C₄⋊C₄	—	2	2	no	—
306	C₁₁×C₄⋊C₄	—	2	2	no	—
307	C₁₁×C₄⋊C₄	—	2	2	no	—
308	C₁₁×C₄⋊C₄	—	2	2	no	—
309	C₁₁×C₄⋊C₄	—	2	4	no	—
310	C₁₁×C₄⋊C₄	—	2	2	no	—
311	C₁₁×C₄⋊C₄	—	2	4	no	—
312	C₁₁×C₄⋊C₄	—	2	4	no	—
313	C₁₁×C₄⋊C₄	—	2	4	no	—
314	C₁₁×C₄⋊C₄	—	2	4	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	—	4	2	no	—
321	C₁₁×C₄⋊C₄	—	4	2	no	—
322	C₁₁×C₄⋊C₄	—	4	2	no	—
323	C₁₁×C₄⋊C₄	—	4	2	no	—
324	C₁₁×C₄⋊C₄	—	4	2	no	—
325	C₁₁×C₄⋊C₄	—	4	2	no	—
326	C₁₁×C₄⋊C₄	—	4	2	no	—
327	C₁₁×C₄⋊C₄	—	4	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	C₂×Q₈	1	4	yes	—
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	—	4	2	no	—
341	C₁₁×C₂²⋊C₄	—	4	2	no	—
342	C₁₁×C₂²⋊C₄	—	4	2	no	—
343	C₁₁×C₂²⋊C₄	—	4	2	no	—
344	C₁₁×C₂²⋊C₄	—	4	2	no	—
345	C₁₁×C₂²⋊C₄	C₂×Q₈	1	8	yes	—
346	C₄²×C₁₁	—	2	2	no	—
347	C₄²×C₁₁	—	2	2	no	—
348	C₄²×C₁₁	—	2	2	no	—
349	C₄²×C₁₁	—	2	4	no	—
350	C₄²×C₁₁	—	2	2	no	—
351	C₄²×C₁₁	—	2	2	no	—
352	C₄²×C₁₁	—	2	2	no	—
353	C₄²×C₁₁	—	2	2	no	—
354	C₄²×C₁₁	—	4	1	no	—
355	C₄²×C₁₁	—	4	1	no	—
356	C₄²×C₁₁	—	4	1	no	—
357	C₄²×C₁₁	—	4	1	no	—
358	C₄²×C₁₁	—	4	2	no	—
359	C₄²×C₁₁	—	4	2	no	—
360	C₄²×C₁₁	#41	1	4	yes	—
361	#2857	C₂×C₁₁	1	1	yes	characteristic, complemented
362	#2851	C₂×C₁₁	1	1	yes	characteristic, complemented
363	#2851	C₂×C₁₁	1	1	yes	characteristic, complemented
364	#2587	C₂×C₁₁	1	2	yes	complemented
365	#2579	C₂×C₁₁	1	2	yes	complemented
366	#2574	C₂×C₁₁	1	2	yes	complemented
367	#2566	C₂×C₁₁	1	1	yes	characteristic, complemented
368	#2550	C₂×C₁₁	1	1	yes	characteristic, complemented
369	#2522	C₂×C₁₁	1	2	yes	complemented
370	#2508	C₂×C₁₁	1	1	yes	characteristic, complemented
371	#2507	C₂×C₁₁	1	1	yes	characteristic, complemented
372	#2454	C₂×C₁₁	1	1	yes	characteristic, complemented
373	#2452	C₂×C₁₁	1	1	yes	characteristic, complemented
374	#2450	C₂×C₁₁	1	2	yes	complemented
375	#2449	C₂×C₁₁	1	2	yes	complemented
376	#2370	C₂×C₁₁	1	1	yes	characteristic, complemented
377	#2368	C₂×C₁₁	1	2	yes	complemented
378	#2349	C₂×C₁₁	1	1	yes	characteristic, complemented
379	#2349	C₂×C₁₁	1	2	yes	complemented
380	C₄×#121	C₂×C₁₁	1	1	yes	characteristic
381	C₄×#121	C₂×C₁₁	1	1	yes	characteristic
382	C₄×#121	C₂×C₁₁	1	1	yes	characteristic
383	C₂×C₄×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
384	C₂³×C₁₁	—	2	1	no	—
385	C₂³×C₁₁	—	2	1	no	—
386	C₂³×C₁₁	—	2	1	no	—
387	C₂³×C₁₁	—	2	1	no	—
388	C₂³×C₁₁	—	2	2	no	—
389	C₂³×C₁₁	—	2	2	no	—
390	C₂³×C₁₁	—	2	2	no	—
391	C₂³×C₁₁	—	2	2	no	—
392	C₂³×C₁₁	—	2	2	no	—
393	C₂³×C₁₁	—	2	2	no	—
394	C₂³×C₁₁	C₂²×Q₈	1	4	yes	—
395	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
396	C₂³×C₁₁	C₂×#41	1	2	yes	—
397	C₂³×C₁₁	H(5,𝔽₂)	1	2	yes	—
398	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
399	Q₈×C₁₁	—	8	4	no	—
400	D₄×C₁₁	—	2	16	no	—
401	D₄×C₁₁	—	2	8	no	—
402	C₂×C₄×C₁₁	—	2	8	no	—
403	C₂×C₄×C₁₁	—	2	1	no	—
404	C₂×C₄×C₁₁	—	2	1	no	—
405	C₂×C₄×C₁₁	—	2	2	no	—
406	C₂×C₄×C₁₁	—	2	1	no	—
407	C₂×C₄×C₁₁	—	2	1	no	—
408	C₂×C₄×C₁₁	—	2	1	no	—
409	C₂×C₄×C₁₁	—	2	1	no	—
410	C₂×C₄×C₁₁	—	2	1	no	—
411	C₂×C₄×C₁₁	—	2	1	no	—
412	C₂×C₄×C₁₁	—	2	1	no	—
413	C₂×C₄×C₁₁	—	2	1	no	—
414	C₂×C₄×C₁₁	—	2	2	no	—
415	C₂×C₄×C₁₁	—	2	1	no	—
416	C₂×C₄×C₁₁	—	2	1	no	—
417	C₂×C₄×C₁₁	—	2	1	no	—
418	C₂×C₄×C₁₁	—	2	1	no	—
419	C₂×C₄×C₁₁	—	2	1	no	—
420	C₂×C₄×C₁₁	—	2	1	no	—
421	C₂×C₄×C₁₁	—	2	8	no	—
422	C₂×C₄×C₁₁	—	2	1	no	—
423	C₂×C₄×C₁₁	—	2	2	no	—
424	C₂×C₄×C₁₁	—	2	2	no	—
425	C₂×C₄×C₁₁	—	2	2	no	—
426	C₂×C₄×C₁₁	—	2	2	no	—
427	C₂×C₄×C₁₁	—	2	2	no	—
428	C₂×C₄×C₁₁	—	2	2	no	—
429	C₂×C₄×C₁₁	—	2	2	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	2	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	2	no	—
440	C₂×C₄×C₁₁	—	2	2	no	—
441	C₂×C₄×C₁₁	—	2	2	no	—
442	C₂×C₄×C₁₁	—	2	2	no	—
443	C₂×C₄×C₁₁	—	2	1	no	—
444	C₂×C₄×C₁₁	—	2	1	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	1	no	—
449	C₂×C₄×C₁₁	—	2	1	no	—
450	C₂×C₄×C₁₁	—	2	2	no	—
451	C₂×C₄×C₁₁	—	2	1	no	—
452	C₂×C₄×C₁₁	—	2	2	no	—
453	C₂×C₄×C₁₁	—	2	1	no	—
454	C₂×C₄×C₁₁	—	2	2	no	—
455	C₂×C₄×C₁₁	—	4	4	no	—
456	C₂×C₄×C₁₁	—	4	4	no	—
457	C₂×C₄×C₁₁	—	4	4	no	—
458	C₂×C₄×C₁₁	—	4	4	no	—
459	C₂×C₄×C₁₁	—	4	4	no	—
460	C₂×C₄×C₁₁	—	8	4	no	—
461	C₂×C₄×C₁₁	—	8	4	no	—
462	C₂×C₄×C₁₁	—	8	4	no	—
463	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
464	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
465	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
466	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
467	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
468	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
469	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
470	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
471	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
472	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
473	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
474	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
475	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
476	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
477	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
478	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
479	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
480	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
481	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
482	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
483	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
484	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
485	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
486	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
487	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
488	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
489	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
490	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
491	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
492	#400	C₂²×C₁₁	1	2	yes	—
493	#399	C₂²×C₁₁	1	2	yes	—
494	#398	C₂²×C₁₁	1	2	yes	—
495	#398	C₂²×C₁₁	1	2	yes	—
496	#398	C₂²×C₁₁	1	2	yes	—
497	#398	C₂²×C₁₁	1	2	yes	—
498	#396	C₂²×C₁₁	1	2	yes	—
499	#396	C₂²×C₁₁	1	2	yes	—
500	#396	C₂²×C₁₁	1	2	yes	—
501	#396	C₂²×C₁₁	1	2	yes	—
502	#395	C₂²×C₁₁	1	2	yes	—
503	#393	C₂²×C₁₁	1	2	yes	—
504	#391	C₂²×C₁₁	1	2	yes	—
505	#391	C₂²×C₁₁	1	2	yes	—
506	#390	C₂²×C₁₁	1	1	yes	characteristic
507	#390	C₂²×C₁₁	1	1	yes	characteristic
508	#390	C₂²×C₁₁	1	1	yes	characteristic
509	#389	C₂²×C₁₁	1	2	yes	—
510	#389	C₂²×C₁₁	1	2	yes	—
511	#389	C₂²×C₁₁	1	2	yes	—
512	#389	C₂²×C₁₁	1	1	yes	characteristic
513	#389	C₂²×C₁₁	1	1	yes	characteristic
514	#389	C₂²×C₁₁	1	1	yes	characteristic
515	#389	C₂²×C₁₁	1	1	yes	characteristic
516	#389	C₂²×C₁₁	1	1	yes	characteristic
517	#389	C₂²×C₁₁	1	1	yes	characteristic
518	#389	C₂²×C₁₁	1	2	yes	—
519	#389	C₂²×C₁₁	1	1	yes	characteristic
520	#389	C₂²×C₁₁	1	1	yes	characteristic
521	#389	C₂²×C₁₁	1	1	yes	characteristic
522	#388	C₂²×C₁₁	1	2	yes	—
523	#388	C₂²×C₁₁	1	2	yes	—
524	#388	C₂²×C₁₁	1	2	yes	—
525	#387	C₂²×C₁₁	1	2	yes	—
526	#387	C₂²×C₁₁	1	2	yes	—
527	#387	C₂²×C₁₁	1	2	yes	—
528	#387	C₂²×C₁₁	1	2	yes	—
529	#387	C₂²×C₁₁	1	2	yes	—
530	#387	C₂²×C₁₁	1	2	yes	—
531	#387	C₂²×C₁₁	1	2	yes	—
532	#387	C₂²×C₁₁	1	2	yes	—
533	#386	C₂²×C₁₁	1	2	yes	—
534	#386	C₂²×C₁₁	1	2	yes	—
535	#386	C₂²×C₁₁	1	2	yes	—
536	#385	C₂²×C₁₁	1	2	yes	—
537	#385	C₂²×C₁₁	1	2	yes	—
538	#385	C₂²×C₁₁	1	2	yes	—
539	#385	C₂²×C₁₁	1	2	yes	—
540	#385	C₂²×C₁₁	1	2	yes	—
541	#385	C₂²×C₁₁	1	2	yes	—
542	#385	C₂²×C₁₁	1	2	yes	—
543	#385	C₂²×C₁₁	1	2	yes	—
544	#385	C₂²×C₁₁	1	2	yes	—
545	#385	C₂²×C₁₁	1	2	yes	—
546	#384	C₂²×C₁₁	1	1	yes	characteristic
547	#382	C₂²×C₁₁	1	1	yes	characteristic
548	#382	C₂²×C₁₁	1	2	yes	—
549	#382	C₂²×C₁₁	1	1	yes	characteristic
550	#380	C₂²×C₁₁	1	2	yes	—
551	#380	C₂²×C₁₁	1	2	yes	—
552	#380	C₂²×C₁₁	1	1	yes	characteristic
553	#380	C₂²×C₁₁	1	1	yes	characteristic
554	#380	C₂²×C₁₁	1	1	yes	characteristic
555	#380	C₂²×C₁₁	1	2	yes	—
556	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
557	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
558	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
559	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
560	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
561	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
562	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
563	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
564	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
565	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
566	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
567	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
568	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
569	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
570	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
571	C₂×#95	C₂²×C₁₁	1	2	yes	—
572	C₂×#95	C₂²×C₁₁	1	1	yes	characteristic
573	C₂×#95	C₂²×C₁₁	1	1	yes	characteristic
574	C₂²×C₁₁	—	2	2	no	—
575	C₂²×C₁₁	—	2	2	no	—
576	C₂²×C₁₁	—	2	2	no	—
577	C₂²×C₁₁	—	2	2	no	—
578	C₂²×C₁₁	—	2	2	no	—
579	C₂²×C₁₁	—	2	2	no	—
580	C₂²×C₁₁	—	2	4	no	—
581	C₂²×C₁₁	—	2	4	no	—
582	C₂²×C₁₁	—	2	4	no	—
583	C₂²×C₁₁	—	4	2	no	—
584	C₂²×C₁₁	—	4	2	no	—
585	C₂²×C₁₁	—	4	2	no	—
586	C₂²×C₁₁	—	4	2	no	—
587	C₂²×C₁₁	#554	1	4	yes	—
588	C₂²×C₁₁	C₂³×Q₈	1	1	yes	characteristic
589	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
590	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
591	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
592	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
593	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
594	C₂²×C₁₁	#585	1	1	yes	characteristic
595	C₄×C₁₁	—	2	2	no	—
596	C₄×C₁₁	—	2	2	no	—
597	C₄×C₁₁	—	2	2	no	—
598	C₄×C₁₁	—	2	4	no	—
599	C₄×C₁₁	—	2	2	no	—
600	C₄×C₁₁	—	2	2	no	—
601	C₄×C₁₁	—	2	2	no	—
602	C₄×C₁₁	—	2	2	no	—
603	C₄×C₁₁	—	2	2	no	—
604	C₄×C₁₁	—	4	2	no	—
605	C₄×C₁₁	—	4	2	no	—
606	C₄×C₁₁	—	4	1	no	—
607	C₄×C₁₁	—	4	2	no	—
608	C₄×C₁₁	—	4	1	no	—
609	C₄×C₁₁	—	4	1	no	—
610	C₄×C₁₁	—	4	2	no	—
611	C₄×C₁₁	—	4	1	no	—
612	C₄×C₁₁	—	4	1	no	—
613	C₄×C₁₁	—	4	2	no	—
614	C₄×C₁₁	—	4	2	no	—
615	C₄×C₁₁	#554	1	4	yes	—
616	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
617	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
618	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
619	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
620	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
621	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
622	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
623	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
624	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
625	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
626	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
627	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
628	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
629	C₄⋊Q₈	—	4	2	no	—
630	#125	—	2	4	no	—
631	#125	—	4	2	no	—
632	C₂²⋊Q₈	—	2	8	no	—
633	C₂²⋊Q₈	—	4	4	no	—
634	#121	Q₈×C₁₁	1	8	yes	complemented
635	C₄×D₄	—	2	8	no	—
636	C₄×D₄	—	2	4	no	—
637	C₄×D₄	—	4	2	no	—
638	C₄×D₄	—	4	2	no	—
639	C₄×D₄	—	4	4	no	—
640	C₄×D₄	—	4	4	no	—
641	C₂×C₄⋊C₄	—	2	4	no	—
642	C₂×C₄⋊C₄	—	2	4	no	—
643	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
654	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
655	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
656	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
657	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
658	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
660	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
661	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
662	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
663	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
664	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
666	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
667	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
668	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
669	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
670	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
671	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
672	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
673	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
674	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
675	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
687	C₂×C₄²	—	2	4	no	—
688	C₂×C₄²	—	4	2	no	—
689	C₂×C₄²	—	4	2	no	—
690	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
691	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
692	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
693	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
694	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
695	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
696	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
697	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
698	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
699	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
700	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
701	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
702	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
703	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
704	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
705	#95	C₂³×C₁₁	1	1	yes	characteristic
706	#95	C₂³×C₁₁	1	1	yes	characteristic
707	#95	C₂³×C₁₁	1	1	yes	characteristic
708	#95	C₂³×C₁₁	1	1	yes	characteristic
709	#95	C₂³×C₁₁	1	1	yes	characteristic
710	#95	C₂³×C₁₁	1	1	yes	characteristic
711	#95	C₂³×C₁₁	1	1	yes	characteristic
712	#95	C₂³×C₁₁	1	1	yes	characteristic
713	#95	C₂³×C₁₁	1	2	yes	—
714	#95	C₂³×C₁₁	1	2	yes	—
715	#95	C₂³×C₁₁	1	2	yes	—
716	#95	C₂³×C₁₁	1	2	yes	—
717	#95	C₂³×C₁₁	1	2	yes	—
718	#95	C₂³×C₁₁	1	2	yes	—
719	#95	C₂³×C₁₁	1	2	yes	—
720	#95	C₂³×C₁₁	1	2	yes	—
721	#95	C₂³×C₁₁	1	2	yes	—
722	#95	C₂³×C₁₁	1	2	yes	—
723	#95	C₂³×C₁₁	1	2	yes	—
724	#95	C₂³×C₁₁	1	2	yes	—
725	#95	C₂³×C₁₁	1	2	yes	—
726	#95	C₂³×C₁₁	1	2	yes	—
727	#95	C₂³×C₁₁	1	2	yes	—
728	#95	C₂³×C₁₁	1	2	yes	—
729	#95	C₂³×C₁₁	1	2	yes	—
730	#95	C₂³×C₁₁	1	2	yes	—
731	#95	C₂³×C₁₁	1	2	yes	—
732	C₂×C₁₁	—	2	4	no	—
733	C₂×C₁₁	—	4	4	no	—
734	C₂×C₁₁	#3444	1	1	yes	characteristic
735	C₂×C₁₁	C₂×#554	1	1	yes	characteristic
736	C₂×C₁₁	C₂×#554	1	1	yes	characteristic
737	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
738	C₂×C₁₁	#3494	1	1	yes	characteristic
739	C₂×C₁₁	#3505	1	1	yes	characteristic
740	C₂×C₁₁	#3519	1	1	yes	characteristic
741	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
742	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
743	C₂×Q₈	—	2	4	no	—
744	C₂×Q₈	—	4	2	no	—
745	C₂×Q₈	—	4	2	no	—
746	C₂×D₄	—	2	4	no	—
747	C₂×D₄	—	2	4	no	—
748	C₂×D₄	—	2	2	no	—
749	C₂×D₄	—	2	2	no	—
750	C₂×D₄	C₂×Q₈×C₁₁	1	8	yes	—
751	C₂×D₄	C₂×Q₈×C₁₁	1	4	yes	—
752	C₂²×C₄	—	2	2	no	—
753	C₂²×C₄	—	2	2	no	—
754	C₂²×C₄	—	2	2	no	—
755	C₂²×C₄	—	2	2	no	—
756	C₂²×C₄	—	2	2	no	—
757	C₂²×C₄	—	2	2	no	—
758	C₂²×C₄	—	2	2	no	—
759	C₂²×C₄	—	2	2	no	—
760	C₂²×C₄	—	2	2	no	—
761	C₂²×C₄	—	2	2	no	—
762	C₂²×C₄	—	2	2	no	—
763	C₂²×C₄	—	2	2	no	—
764	C₂²×C₄	—	2	4	no	—
765	C₂²×C₄	—	2	4	no	—
766	C₂²×C₄	—	2	4	no	—
767	C₂²×C₄	—	4	1	no	—
768	C₂²×C₄	—	4	1	no	—
769	C₂²×C₄	—	4	1	no	—
770	C₂²×C₄	—	4	1	no	—
771	C₂²×C₄	—	4	1	no	—
772	C₂²×C₄	—	4	1	no	—
773	C₂²×C₄	—	4	1	no	—
774	C₂²×C₄	—	4	2	no	—
775	C₂²×C₄	—	4	2	no	—
776	C₂²×C₄	—	4	2	no	—
777	C₂²×C₄	—	4	2	no	—
778	C₂²×C₄	—	4	2	no	—
779	C₂²×C₄	—	4	2	no	—
780	C₂²×C₄	C₂×Q₈×C₁₁	1	4	yes	—
781	C₂²×C₄	C₁₁×#41	1	4	yes	—
782	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
783	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
784	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
785	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
786	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
787	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
788	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
789	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
790	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
791	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
792	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
793	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
794	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
795	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
796	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
797	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
798	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
799	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
800	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
801	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
802	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
803	C₄⋊C₄	—	2	2	no	—
804	C₄⋊C₄	—	2	2	no	—
805	C₄⋊C₄	—	2	2	no	—
806	C₄⋊C₄	—	2	2	no	—
807	C₄⋊C₄	—	2	2	no	—
808	C₄⋊C₄	—	2	2	no	—
809	C₄⋊C₄	—	2	2	no	—
810	C₄⋊C₄	—	2	4	no	—
811	C₄⋊C₄	—	2	2	no	—
812	C₄⋊C₄	—	2	4	no	—
813	C₄⋊C₄	—	2	4	no	—
814	C₄⋊C₄	—	2	4	no	—
815	C₄⋊C₄	—	2	4	no	—
816	C₄⋊C₄	—	2	2	no	—
817	C₄⋊C₄	—	2	2	no	—
818	C₄⋊C₄	—	2	2	no	—
819	C₄⋊C₄	—	2	2	no	—
820	C₄⋊C₄	—	2	2	no	—
821	C₄⋊C₄	—	4	2	no	—
822	C₄⋊C₄	—	4	2	no	—
823	C₄⋊C₄	—	4	2	no	—
824	C₄⋊C₄	—	4	2	no	—
825	C₄⋊C₄	—	4	2	no	—
826	C₄⋊C₄	—	4	2	no	—
827	C₄⋊C₄	—	4	2	no	—
828	C₄⋊C₄	—	4	2	no	—
829	C₄⋊C₄	—	4	2	no	—
830	C₄⋊C₄	—	4	2	no	—
831	C₄⋊C₄	—	4	2	no	—
832	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
833	C₄⋊C₄	C₁₁×#41	1	4	yes	—
834	C₂²⋊C₄	—	2	4	no	—
835	C₂²⋊C₄	—	2	4	no	—
836	C₂²⋊C₄	—	2	4	no	—
837	C₂²⋊C₄	—	2	4	no	—
838	C₂²⋊C₄	—	2	4	no	—
839	C₂²⋊C₄	—	2	4	no	—
840	C₂²⋊C₄	—	2	4	no	—
841	C₂²⋊C₄	—	4	2	no	—
842	C₂²⋊C₄	—	4	2	no	—
843	C₂²⋊C₄	—	4	2	no	—
844	C₂²⋊C₄	—	4	2	no	—
845	C₂²⋊C₄	—	4	2	no	—
846	C₂²⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
847	C₄²	—	2	2	no	—
848	C₄²	—	2	2	no	—
849	C₄²	—	2	2	no	—
850	C₄²	—	2	4	no	—
851	C₄²	—	2	2	no	—
852	C₄²	—	2	2	no	—
853	C₄²	—	2	2	no	—
854	C₄²	—	2	2	no	—
855	C₄²	—	4	1	no	—
856	C₄²	—	4	1	no	—
857	C₄²	—	4	1	no	—
858	C₄²	—	4	1	no	—
859	C₄²	—	4	2	no	—
860	C₄²	—	4	2	no	—
861	C₄²	C₁₁×#41	1	4	yes	—
862	C₁₁	#36570	1	1	yes	characteristic, direct product factor, Sylow
863	C₂³	—	2	1	no	—
864	C₂³	—	2	1	no	—
865	C₂³	—	2	1	no	—
866	C₂³	—	2	1	no	—
867	C₂³	—	2	2	no	—
868	C₂³	—	2	2	no	—
869	C₂³	—	2	2	no	—
870	C₂³	—	2	2	no	—
871	C₂³	—	2	2	no	—
872	C₂³	—	2	2	no	—
873	C₂³	C₂²×Q₈×C₁₁	1	4	yes	—
874	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
875	C₂³	C₂×C₁₁×#41	1	2	yes	—
876	C₂³	C₁₁×H(5,𝔽₂)	1	2	yes	—
877	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
878	Q₈	—	8	4	no	—
879	D₄	—	2	16	no	—
880	D₄	—	2	8	no	—
881	C₂×C₄	—	2	8	no	—
882	C₂×C₄	—	2	1	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	2	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	2	1	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	2	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	1	no	—
897	C₂×C₄	—	2	1	no	—
898	C₂×C₄	—	2	1	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	8	no	—
901	C₂×C₄	—	2	1	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	2	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	2	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	2	no	—
914	C₂×C₄	—	2	1	no	—
915	C₂×C₄	—	2	1	no	—
916	C₂×C₄	—	2	1	no	—
917	C₂×C₄	—	2	1	no	—
918	C₂×C₄	—	2	2	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	1	no	—
923	C₂×C₄	—	2	1	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	2	2	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	2	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	2	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	4	4	no	—
935	C₂×C₄	—	4	4	no	—
936	C₂×C₄	—	4	4	no	—
937	C₂×C₄	—	4	4	no	—
938	C₂×C₄	—	4	4	no	—
939	C₂×C₄	—	8	4	no	—
940	C₂×C₄	—	8	4	no	—
941	C₂×C₄	—	8	4	no	—
942	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
943	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
944	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
945	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
946	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
947	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
948	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
949	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
950	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
951	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
952	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
953	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
954	C₂²	—	2	2	no	—
955	C₂²	—	2	2	no	—
956	C₂²	—	2	2	no	—
957	C₂²	—	2	2	no	—
958	C₂²	—	2	2	no	—
959	C₂²	—	2	2	no	—
960	C₂²	—	2	4	no	—
961	C₂²	—	2	4	no	—
962	C₂²	—	2	4	no	—
963	C₂²	—	4	2	no	—
964	C₂²	—	4	2	no	—
965	C₂²	—	4	2	no	—
966	C₂²	—	4	2	no	—
967	C₂²	C₁₁×#554	1	4	yes	—
968	C₂²	C₂³×Q₈×C₁₁	1	1	yes	characteristic
969	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
970	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
971	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
972	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
973	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
974	C₂²	C₁₁×#585	1	1	yes	characteristic
975	C₄	—	2	2	no	—
976	C₄	—	2	2	no	—
977	C₄	—	2	2	no	—
978	C₄	—	2	4	no	—
979	C₄	—	2	2	no	—
980	C₄	—	2	2	no	—
981	C₄	—	2	2	no	—
982	C₄	—	2	2	no	—
983	C₄	—	2	2	no	—
984	C₄	—	4	2	no	—
985	C₄	—	4	1	no	—
986	C₄	—	4	2	no	—
987	C₄	—	4	2	no	—
988	C₄	—	4	1	no	—
989	C₄	—	4	1	no	—
990	C₄	—	4	2	no	—
991	C₄	—	4	1	no	—
992	C₄	—	4	1	no	—
993	C₄	—	4	2	no	—
994	C₄	—	4	2	no	—
995	C₄	C₁₁×#554	1	4	yes	—
996	C₂	—	2	4	no	—
997	C₂	—	4	4	no	—
998	C₂	C₁₁×#3444	1	1	yes	characteristic
999	C₂	C₂×C₁₁×#554	1	1	yes	characteristic
1000	C₂	C₂×C₁₁×#554	1	1	yes	characteristic
1001	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
1002	C₂	C₁₁×#3494	1	1	yes	characteristic
1003	C₂	C₁₁×#3505	1	1	yes	characteristic
1004	C₂	C₁₁×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂×C₁₁×#121	C₂²
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
1. C₁₁×#2857	C₂	semidirect
2. C₁₁×#2851	C₂	semidirect
3. C₁₁×#2851	C₂	semidirect
4. C₁₁×#2587	C₂	semidirect
5. C₁₁×#2579	C₂	semidirect
6. C₁₁×#2574	C₂	semidirect
7. C₁₁×#2566	C₂	semidirect
8. C₁₁×#2550	C₂	semidirect
9. C₁₁×#2522	C₂	semidirect
10. C₁₁×#2508	C₂	semidirect
11. C₁₁×#2507	C₂	semidirect
12. C₁₁×#2454	C₂	semidirect
13. C₁₁×#2452	C₂	semidirect
14. C₁₁×#2450	C₂	semidirect
15. C₁₁×#2449	C₂	semidirect
16. C₁₁×#2370	C₂	semidirect
17. C₁₁×#2368	C₂	semidirect
18. C₁₁×#2349	C₂	semidirect
19. C₁₁×#2349	C₂	semidirect
23. C₂×C₄×C₁₁×C₄⋊C₄	C₂	semidirect
141. C₁₁×#121	Q₈	semidirect
239. #36570	C₁₁	direct (N × H)
361. #2857	C₂×C₁₁	semidirect
362. #2851	C₂×C₁₁	semidirect
363. #2851	C₂×C₁₁	semidirect
364. #2587	C₂×C₁₁	semidirect
365. #2579	C₂×C₁₁	semidirect
366. #2574	C₂×C₁₁	semidirect
367. #2566	C₂×C₁₁	semidirect
368. #2550	C₂×C₁₁	semidirect
369. #2522	C₂×C₁₁	semidirect
370. #2508	C₂×C₁₁	semidirect
371. #2507	C₂×C₁₁	semidirect
372. #2454	C₂×C₁₁	semidirect
373. #2452	C₂×C₁₁	semidirect
374. #2450	C₂×C₁₁	semidirect
375. #2449	C₂×C₁₁	semidirect
376. #2370	C₂×C₁₁	semidirect
377. #2368	C₂×C₁₁	semidirect
378. #2349	C₂×C₁₁	semidirect
379. #2349	C₂×C₁₁	semidirect
383. C₂×C₄×C₄⋊C₄	C₂×C₁₁	semidirect
634. #121	Q₈×C₁₁	semidirect
862. C₁₁	#36570	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×#2857	2
C₁₁×#2851	2
C₁₁×#2587	2
C₁₁×#2579	2
C₁₁×#2574	2
C₁₁×#2566	2
C₁₁×#2550	2
C₁₁×#2522	2
C₁₁×#2508	2
C₁₁×#2507	2
C₁₁×#2454	2
C₁₁×#2452	2
C₁₁×#2450	2
C₁₁×#2449	2
C₁₁×#2370	2
C₁₁×#2368	2
C₁₁×#2349	2
C₄×C₁₁×#121	2
C₂×C₄×C₁₁×C₄⋊C₄	2
#36570	11

Subgroups — C11×#36570 #14613763

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36570 #14613763