Subgroups — C₁₁×#36571 #14613764

Order 2816.

1776 conjugacy classes of subgroups.

The subgroup lattice has 942 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
2	C₁₁×#2851	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#2851	C₂	1	1	yes	maximal, characteristic
4	C₁₁×#2588	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2585	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2583	C₂	1	2	yes	maximal
7	C₁₁×#2565	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2550	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2520	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2509	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2506	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2505	C₂	1	2	yes	maximal
13	C₁₁×#2473	C₂	1	2	yes	maximal
14	C₁₁×#2453	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2451	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2370	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2370	C₂	1	2	yes	maximal, complemented
18	C₁₁×#2368	C₂	1	2	yes	maximal
19	C₁₁×#2351	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
21	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
22	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
23	C₂×C₄×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
24	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#125	C₂²	1	2	yes	—
26	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
28	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
29	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
30	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
31	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
32	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
33	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
34	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
35	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
36	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
37	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
38	C₁₁×#400	C₂²	1	2	yes	—
39	C₁₁×#400	C₂²	1	2	yes	—
40	C₁₁×#400	C₂²	1	2	yes	—
41	C₁₁×#400	C₂²	1	2	yes	—
42	C₁₁×#398	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×#398	C₂²	1	2	yes	—
48	C₁₁×#395	C₂²	1	2	yes	—
49	C₁₁×#395	C₂²	1	2	yes	—
50	C₁₁×#391	C₂²	1	1	yes	characteristic
51	C₁₁×#391	C₂²	1	1	yes	characteristic
52	C₁₁×#391	C₂²	1	2	yes	—
53	C₁₁×#391	C₂²	1	1	yes	characteristic
54	C₁₁×#391	C₂²	1	2	yes	—
55	C₁₁×#391	C₂²	1	2	yes	—
56	C₁₁×#389	C₂²	1	1	yes	characteristic
57	C₁₁×#389	C₂²	1	1	yes	characteristic
58	C₁₁×#389	C₂²	1	1	yes	characteristic
59	C₁₁×#389	C₂²	1	2	yes	—
60	C₁₁×#389	C₂²	1	1	yes	characteristic
61	C₁₁×#389	C₂²	1	2	yes	—
62	C₁₁×#389	C₂²	1	2	yes	—
63	C₁₁×#389	C₂²	1	1	yes	characteristic
64	C₁₁×#389	C₂²	1	1	yes	characteristic
65	C₁₁×#389	C₂²	1	1	yes	characteristic
66	C₁₁×#389	C₂²	1	1	yes	characteristic
67	C₁₁×#389	C₂²	1	2	yes	—
68	C₁₁×#389	C₂²	1	1	yes	characteristic
69	C₁₁×#389	C₂²	1	2	yes	—
70	C₁₁×#389	C₂²	1	2	yes	—
71	C₁₁×#389	C₂²	1	2	yes	—
72	C₁₁×#387	C₂²	1	2	yes	—
73	C₁₁×#387	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×#387	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×#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×#384	C₂²	1	1	yes	characteristic
95	C₁₁×#382	C₂²	1	2	yes	—
96	C₁₁×#382	C₂²	1	1	yes	characteristic
97	C₁₁×#382	C₂²	1	1	yes	characteristic
98	C₁₁×#380	C₂²	1	2	yes	—
99	C₁₁×#380	C₂²	1	1	yes	characteristic
100	C₁₁×#380	C₂²	1	1	yes	characteristic
101	C₁₁×#380	C₂²	1	1	yes	characteristic
102	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
103	C₄×C₁₁×C₄⋊C₄	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	2	yes	—
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	2	yes	—
115	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
116	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
117	C₄×C₁₁×C₄⋊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×Q₈×C₁₁	C₂³	1	2	yes	—
125	C₂³×C₄×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	C₁₁×C₄⋊Q₈	—	4	2	no	—
133	C₁₁×#125	—	2	8	no	—
134	C₁₁×#125	—	2	4	no	—
135	C₁₁×#125	—	4	2	no	—
136	C₁₁×C₂²⋊Q₈	—	2	8	no	—
137	C₁₁×C₂²⋊Q₈	Q₈	1	8	yes	complemented
138	C₄×Q₈×C₁₁	—	2	4	no	—
139	C₄×Q₈×C₁₁	—	4	2	no	—
140	C₄×Q₈×C₁₁	—	4	2	no	—
141	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
142	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
143	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
144	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
145	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
146	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
147	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
154	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
155	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
156	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
157	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
158	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
163	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
177	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²×C₁₁	—	2	4	no	—
183	C₂×C₄²×C₁₁	—	4	2	no	—
184	C₂×C₄²×C₁₁	—	4	2	no	—
185	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
186	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
187	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
188	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
189	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
190	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
191	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
193	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
194	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
195	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
196	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
197	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
198	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
199	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
201	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
203	C₁₁×#95	C₂³	1	1	yes	characteristic
204	C₁₁×#95	C₂³	1	1	yes	characteristic
205	C₁₁×#95	C₂³	1	1	yes	characteristic
206	C₁₁×#95	C₂³	1	1	yes	characteristic
207	C₁₁×#95	C₂³	1	1	yes	characteristic
208	C₁₁×#95	C₂³	1	1	yes	characteristic
209	C₁₁×#95	C₂³	1	1	yes	characteristic
210	C₁₁×#95	C₂³	1	1	yes	characteristic
211	C₁₁×#95	C₂³	1	2	yes	—
212	C₁₁×#95	C₂³	1	2	yes	—
213	C₁₁×#95	C₂³	1	2	yes	—
214	C₁₁×#95	C₂³	1	2	yes	—
215	C₁₁×#95	C₂³	1	2	yes	—
216	C₁₁×#95	C₂³	1	2	yes	—
217	C₁₁×#95	C₂³	1	2	yes	—
218	C₁₁×#95	C₂³	1	2	yes	—
219	C₁₁×#95	C₂³	1	2	yes	—
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	#36571	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
237	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
238	C₂×Q₈×C₁₁	—	2	2	no	—
239	C₂×Q₈×C₁₁	—	2	4	no	—
240	C₂×Q₈×C₁₁	—	2	2	no	—
241	C₂×Q₈×C₁₁	—	4	2	no	—
242	C₂×Q₈×C₁₁	—	4	2	no	—
243	C₂×Q₈×C₁₁	C₂×Q₈	1	4	yes	—
244	C₂²×C₄×C₁₁	—	2	2	no	—
245	C₂²×C₄×C₁₁	—	2	2	no	—
246	C₂²×C₄×C₁₁	—	2	2	no	—
247	C₂²×C₄×C₁₁	—	2	2	no	—
248	C₂²×C₄×C₁₁	—	2	2	no	—
249	C₂²×C₄×C₁₁	—	2	2	no	—
250	C₂²×C₄×C₁₁	—	2	2	no	—
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	—	4	1	no	—
257	C₂²×C₄×C₁₁	—	4	1	no	—
258	C₂²×C₄×C₁₁	—	4	1	no	—
259	C₂²×C₄×C₁₁	—	4	1	no	—
260	C₂²×C₄×C₁₁	—	4	1	no	—
261	C₂²×C₄×C₁₁	—	4	1	no	—
262	C₂²×C₄×C₁₁	—	4	1	no	—
263	C₂²×C₄×C₁₁	C₂×Q₈	1	4	yes	—
264	C₂²×C₄×C₁₁	#41	1	4	yes	—
265	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
266	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
267	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
268	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
269	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
270	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
271	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
272	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
273	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
274	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
275	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
276	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
277	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
280	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
285	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
286	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
287	C₁₁×C₄⋊C₄	—	2	2	no	—
288	C₁₁×C₄⋊C₄	—	2	2	no	—
289	C₁₁×C₄⋊C₄	—	2	2	no	—
290	C₁₁×C₄⋊C₄	—	2	2	no	—
291	C₁₁×C₄⋊C₄	—	2	2	no	—
292	C₁₁×C₄⋊C₄	—	2	2	no	—
293	C₁₁×C₄⋊C₄	—	2	2	no	—
294	C₁₁×C₄⋊C₄	—	2	4	no	—
295	C₁₁×C₄⋊C₄	—	2	2	no	—
296	C₁₁×C₄⋊C₄	—	2	4	no	—
297	C₁₁×C₄⋊C₄	—	2	4	no	—
298	C₁₁×C₄⋊C₄	—	2	4	no	—
299	C₁₁×C₄⋊C₄	—	2	4	no	—
300	C₁₁×C₄⋊C₄	—	2	4	no	—
301	C₁₁×C₄⋊C₄	—	2	4	no	—
302	C₁₁×C₄⋊C₄	—	2	4	no	—
303	C₁₁×C₄⋊C₄	—	2	4	no	—
304	C₁₁×C₄⋊C₄	—	2	4	no	—
305	C₁₁×C₄⋊C₄	—	2	4	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	2	no	—
310	C₁₁×C₄⋊C₄	—	2	2	no	—
311	C₁₁×C₄⋊C₄	—	4	2	no	—
312	C₁₁×C₄⋊C₄	—	4	2	no	—
313	C₁₁×C₄⋊C₄	—	4	2	no	—
314	C₁₁×C₄⋊C₄	—	4	2	no	—
315	C₁₁×C₄⋊C₄	—	4	2	no	—
316	C₁₁×C₄⋊C₄	—	4	2	no	—
317	C₁₁×C₄⋊C₄	—	4	2	no	—
318	C₁₁×C₄⋊C₄	—	4	2	no	—
319	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
320	C₁₁×C₄⋊C₄	C₂×Q₈	1	8	yes	—
321	C₁₁×C₄⋊C₄	#41	1	4	yes	—
322	C₁₁×C₂²⋊C₄	—	2	4	no	—
323	C₁₁×C₂²⋊C₄	—	2	4	no	—
324	C₁₁×C₂²⋊C₄	—	2	4	no	—
325	C₁₁×C₂²⋊C₄	C₂×Q₈	1	8	yes	—
326	C₄²×C₁₁	—	2	2	no	—
327	C₄²×C₁₁	—	2	2	no	—
328	C₄²×C₁₁	—	2	2	no	—
329	C₄²×C₁₁	—	2	4	no	—
330	C₄²×C₁₁	—	2	4	no	—
331	C₄²×C₁₁	—	2	2	no	—
332	C₄²×C₁₁	—	2	2	no	—
333	C₄²×C₁₁	—	2	2	no	—
334	C₄²×C₁₁	—	2	2	no	—
335	C₄²×C₁₁	—	4	1	no	—
336	C₄²×C₁₁	—	4	1	no	—
337	C₄²×C₁₁	—	4	1	no	—
338	C₄²×C₁₁	—	4	1	no	—
339	C₄²×C₁₁	—	4	2	no	—
340	C₄²×C₁₁	—	4	2	no	—
341	C₄²×C₁₁	—	4	2	no	—
342	C₄²×C₁₁	—	4	2	no	—
343	C₄²×C₁₁	#41	1	4	yes	—
344	#2857	C₂×C₁₁	1	1	yes	characteristic
345	#2851	C₂×C₁₁	1	1	yes	characteristic
346	#2851	C₂×C₁₁	1	1	yes	characteristic
347	#2588	C₂×C₁₁	1	2	yes	complemented
348	#2585	C₂×C₁₁	1	2	yes	complemented
349	#2583	C₂×C₁₁	1	2	yes	—
350	#2565	C₂×C₁₁	1	1	yes	characteristic, complemented
351	#2550	C₂×C₁₁	1	1	yes	characteristic, complemented
352	#2520	C₂×C₁₁	1	2	yes	complemented
353	#2509	C₂×C₁₁	1	1	yes	characteristic, complemented
354	#2506	C₂×C₁₁	1	1	yes	characteristic, complemented
355	#2505	C₂×C₁₁	1	2	yes	—
356	#2473	C₂×C₁₁	1	2	yes	—
357	#2453	C₂×C₁₁	1	1	yes	characteristic, complemented
358	#2451	C₂×C₁₁	1	1	yes	characteristic, complemented
359	#2370	C₂×C₁₁	1	1	yes	characteristic, complemented
360	#2370	C₂×C₁₁	1	2	yes	complemented
361	#2368	C₂×C₁₁	1	2	yes	—
362	#2351	C₂×C₁₁	1	1	yes	characteristic, complemented
363	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic
364	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic
365	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic
366	C₂×C₄×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic
367	C₂³×C₁₁	—	2	1	no	—
368	C₂³×C₁₁	—	2	1	no	—
369	C₂³×C₁₁	—	2	1	no	—
370	C₂³×C₁₁	—	2	1	no	—
371	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
372	C₂³×C₁₁	C₂×#41	1	2	yes	—
373	C₂³×C₁₁	2₋¹⁺⁴	1	2	yes	—
374	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
375	Q₈×C₁₁	—	2	8	no	—
376	Q₈×C₁₁	—	8	4	no	—
377	C₂×C₄×C₁₁	—	2	8	no	—
378	C₂×C₄×C₁₁	—	2	1	no	—
379	C₂×C₄×C₁₁	—	2	1	no	—
380	C₂×C₄×C₁₁	—	2	2	no	—
381	C₂×C₄×C₁₁	—	2	2	no	—
382	C₂×C₄×C₁₁	—	2	1	no	—
383	C₂×C₄×C₁₁	—	2	1	no	—
384	C₂×C₄×C₁₁	—	2	1	no	—
385	C₂×C₄×C₁₁	—	2	1	no	—
386	C₂×C₄×C₁₁	—	2	1	no	—
387	C₂×C₄×C₁₁	—	2	1	no	—
388	C₂×C₄×C₁₁	—	2	1	no	—
389	C₂×C₄×C₁₁	—	2	1	no	—
390	C₂×C₄×C₁₁	—	2	2	no	—
391	C₂×C₄×C₁₁	—	2	1	no	—
392	C₂×C₄×C₁₁	—	2	1	no	—
393	C₂×C₄×C₁₁	—	2	1	no	—
394	C₂×C₄×C₁₁	—	2	2	no	—
395	C₂×C₄×C₁₁	—	2	1	no	—
396	C₂×C₄×C₁₁	—	2	1	no	—
397	C₂×C₄×C₁₁	—	2	1	no	—
398	C₂×C₄×C₁₁	—	2	8	no	—
399	C₂×C₄×C₁₁	—	2	1	no	—
400	C₂×C₄×C₁₁	—	2	2	no	—
401	C₂×C₄×C₁₁	—	2	2	no	—
402	C₂×C₄×C₁₁	—	2	2	no	—
403	C₂×C₄×C₁₁	—	2	2	no	—
404	C₂×C₄×C₁₁	—	2	2	no	—
405	C₂×C₄×C₁₁	—	2	2	no	—
406	C₂×C₄×C₁₁	—	2	2	no	—
407	C₂×C₄×C₁₁	—	2	2	no	—
408	C₂×C₄×C₁₁	—	2	2	no	—
409	C₂×C₄×C₁₁	—	2	2	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	1	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	2	no	—
419	C₂×C₄×C₁₁	—	2	2	no	—
420	C₂×C₄×C₁₁	—	2	2	no	—
421	C₂×C₄×C₁₁	—	2	2	no	—
422	C₂×C₄×C₁₁	—	2	2	no	—
423	C₂×C₄×C₁₁	—	2	1	no	—
424	C₂×C₄×C₁₁	—	2	1	no	—
425	C₂×C₄×C₁₁	—	2	1	no	—
426	C₂×C₄×C₁₁	—	2	2	no	—
427	C₂×C₄×C₁₁	—	2	2	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	2	no	—
432	C₂×C₄×C₁₁	—	4	4	no	—
433	C₂×C₄×C₁₁	—	4	4	no	—
434	C₂×C₄×C₁₁	—	4	4	no	—
435	C₂×C₄×C₁₁	—	4	4	no	—
436	C₂×C₄×C₁₁	—	4	4	no	—
437	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
438	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
439	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
440	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
441	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
442	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
443	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
444	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
445	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
446	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
447	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
448	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
449	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
450	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
451	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
452	C₂×#125	C₂²×C₁₁	1	2	yes	—
453	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
454	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
455	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
456	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
457	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
458	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
459	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
460	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
461	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
462	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
463	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
464	#400	C₂²×C₁₁	1	2	yes	—
465	#400	C₂²×C₁₁	1	2	yes	—
466	#400	C₂²×C₁₁	1	2	yes	—
467	#400	C₂²×C₁₁	1	2	yes	—
468	#398	C₂²×C₁₁	1	2	yes	—
469	#398	C₂²×C₁₁	1	2	yes	—
470	#398	C₂²×C₁₁	1	2	yes	—
471	#398	C₂²×C₁₁	1	2	yes	—
472	#398	C₂²×C₁₁	1	2	yes	—
473	#398	C₂²×C₁₁	1	2	yes	—
474	#395	C₂²×C₁₁	1	2	yes	—
475	#395	C₂²×C₁₁	1	2	yes	—
476	#391	C₂²×C₁₁	1	1	yes	characteristic
477	#391	C₂²×C₁₁	1	1	yes	characteristic
478	#391	C₂²×C₁₁	1	2	yes	—
479	#391	C₂²×C₁₁	1	2	yes	—
480	#391	C₂²×C₁₁	1	2	yes	—
481	#391	C₂²×C₁₁	1	1	yes	characteristic
482	#389	C₂²×C₁₁	1	2	yes	—
483	#389	C₂²×C₁₁	1	2	yes	—
484	#389	C₂²×C₁₁	1	2	yes	—
485	#389	C₂²×C₁₁	1	2	yes	—
486	#389	C₂²×C₁₁	1	2	yes	—
487	#389	C₂²×C₁₁	1	2	yes	—
488	#389	C₂²×C₁₁	1	1	yes	characteristic
489	#389	C₂²×C₁₁	1	1	yes	characteristic
490	#389	C₂²×C₁₁	1	1	yes	characteristic
491	#389	C₂²×C₁₁	1	1	yes	characteristic
492	#389	C₂²×C₁₁	1	1	yes	characteristic
493	#389	C₂²×C₁₁	1	1	yes	characteristic
494	#389	C₂²×C₁₁	1	2	yes	—
495	#389	C₂²×C₁₁	1	1	yes	characteristic
496	#389	C₂²×C₁₁	1	1	yes	characteristic
497	#389	C₂²×C₁₁	1	1	yes	characteristic
498	#387	C₂²×C₁₁	1	2	yes	—
499	#387	C₂²×C₁₁	1	2	yes	—
500	#387	C₂²×C₁₁	1	2	yes	—
501	#387	C₂²×C₁₁	1	2	yes	—
502	#387	C₂²×C₁₁	1	2	yes	—
503	#387	C₂²×C₁₁	1	2	yes	—
504	#387	C₂²×C₁₁	1	2	yes	—
505	#387	C₂²×C₁₁	1	2	yes	—
506	#387	C₂²×C₁₁	1	2	yes	—
507	#387	C₂²×C₁₁	1	2	yes	—
508	#387	C₂²×C₁₁	1	2	yes	—
509	#387	C₂²×C₁₁	1	2	yes	—
510	#387	C₂²×C₁₁	1	2	yes	—
511	#387	C₂²×C₁₁	1	2	yes	—
512	#387	C₂²×C₁₁	1	2	yes	—
513	#385	C₂²×C₁₁	1	2	yes	—
514	#385	C₂²×C₁₁	1	2	yes	—
515	#385	C₂²×C₁₁	1	2	yes	—
516	#385	C₂²×C₁₁	1	2	yes	—
517	#385	C₂²×C₁₁	1	2	yes	—
518	#385	C₂²×C₁₁	1	2	yes	—
519	#385	C₂²×C₁₁	1	2	yes	—
520	#384	C₂²×C₁₁	1	1	yes	characteristic
521	#382	C₂²×C₁₁	1	1	yes	characteristic
522	#382	C₂²×C₁₁	1	1	yes	characteristic
523	#382	C₂²×C₁₁	1	2	yes	—
524	#380	C₂²×C₁₁	1	1	yes	characteristic
525	#380	C₂²×C₁₁	1	1	yes	characteristic
526	#380	C₂²×C₁₁	1	1	yes	characteristic
527	#380	C₂²×C₁₁	1	2	yes	—
528	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
529	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
530	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
531	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
532	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
533	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
534	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
535	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
536	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
537	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
538	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
539	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
540	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
541	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
542	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
543	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
544	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
545	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
546	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
547	C₂×#95	C₂²×C₁₁	1	1	yes	characteristic
548	C₂×#95	C₂²×C₁₁	1	1	yes	characteristic
549	C₂²×C₁₁	—	2	2	no	—
550	C₂²×C₁₁	—	2	2	no	—
551	C₂²×C₁₁	—	2	2	no	—
552	C₂²×C₁₁	—	2	2	no	—
553	C₂²×C₁₁	—	2	2	no	—
554	C₂²×C₁₁	—	2	2	no	—
555	C₂²×C₁₁	#557	1	4	yes	—
556	C₂²×C₁₁	C₂³×Q₈	1	1	yes	characteristic
557	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
558	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
559	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
560	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
561	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
562	C₂²×C₁₁	#585	1	1	yes	characteristic
563	C₄×C₁₁	—	2	2	no	—
564	C₄×C₁₁	—	2	2	no	—
565	C₄×C₁₁	—	2	2	no	—
566	C₄×C₁₁	—	2	4	no	—
567	C₄×C₁₁	—	2	4	no	—
568	C₄×C₁₁	—	2	2	no	—
569	C₄×C₁₁	—	2	2	no	—
570	C₄×C₁₁	—	2	2	no	—
571	C₄×C₁₁	—	2	2	no	—
572	C₄×C₁₁	—	2	2	no	—
573	C₄×C₁₁	—	4	2	no	—
574	C₄×C₁₁	—	4	2	no	—
575	C₄×C₁₁	—	4	2	no	—
576	C₄×C₁₁	—	4	1	no	—
577	C₄×C₁₁	—	4	1	no	—
578	C₄×C₁₁	—	4	1	no	—
579	C₄×C₁₁	—	4	2	no	—
580	C₄×C₁₁	—	4	2	no	—
581	C₄×C₁₁	—	4	2	no	—
582	C₄×C₁₁	—	4	1	no	—
583	C₄×C₁₁	—	4	1	no	—
584	C₄×C₁₁	#554	1	4	yes	—
585	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
586	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
587	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
588	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
589	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
590	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
591	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
592	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
593	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
594	C₄⋊Q₈	—	4	2	no	—
595	#125	—	2	8	no	—
596	#125	—	2	4	no	—
597	#125	—	4	2	no	—
598	C₂²⋊Q₈	—	2	8	no	—
599	C₂²⋊Q₈	Q₈×C₁₁	1	8	yes	complemented
600	C₄×Q₈	—	2	4	no	—
601	C₄×Q₈	—	4	2	no	—
602	C₄×Q₈	—	4	2	no	—
603	C₂×C₄⋊C₄	—	2	4	no	—
604	C₂×C₄⋊C₄	—	2	4	no	—
605	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
608	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
611	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
613	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
615	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
616	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
617	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
618	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
619	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
620	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
621	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
622	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
623	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
624	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
625	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
626	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
627	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
628	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
629	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
630	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
631	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
632	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
633	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
634	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
635	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
636	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
637	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
638	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
640	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
641	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
642	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
643	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
644	C₂×C₄²	—	2	4	no	—
645	C₂×C₄²	—	4	2	no	—
646	C₂×C₄²	—	4	2	no	—
647	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
648	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
649	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
650	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
651	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
652	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
653	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
654	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
655	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
656	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
657	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
658	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
659	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
660	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
661	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
662	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
663	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
664	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
665	#95	C₂³×C₁₁	1	1	yes	characteristic
666	#95	C₂³×C₁₁	1	1	yes	characteristic
667	#95	C₂³×C₁₁	1	1	yes	characteristic
668	#95	C₂³×C₁₁	1	1	yes	characteristic
669	#95	C₂³×C₁₁	1	1	yes	characteristic
670	#95	C₂³×C₁₁	1	1	yes	characteristic
671	#95	C₂³×C₁₁	1	1	yes	characteristic
672	#95	C₂³×C₁₁	1	1	yes	characteristic
673	#95	C₂³×C₁₁	1	2	yes	—
674	#95	C₂³×C₁₁	1	2	yes	—
675	#95	C₂³×C₁₁	1	2	yes	—
676	#95	C₂³×C₁₁	1	2	yes	—
677	#95	C₂³×C₁₁	1	2	yes	—
678	#95	C₂³×C₁₁	1	2	yes	—
679	#95	C₂³×C₁₁	1	2	yes	—
680	#95	C₂³×C₁₁	1	2	yes	—
681	#95	C₂³×C₁₁	1	2	yes	—
682	#95	C₂³×C₁₁	1	2	yes	—
683	#95	C₂³×C₁₁	1	2	yes	—
684	#95	C₂³×C₁₁	1	2	yes	—
685	#95	C₂³×C₁₁	1	2	yes	—
686	#95	C₂³×C₁₁	1	2	yes	—
687	#95	C₂³×C₁₁	1	2	yes	—
688	#95	C₂³×C₁₁	1	2	yes	—
689	#95	C₂³×C₁₁	1	2	yes	—
690	#95	C₂³×C₁₁	1	2	yes	—
691	#95	C₂³×C₁₁	1	2	yes	—
692	#95	C₂³×C₁₁	1	2	yes	—
693	#95	C₂³×C₁₁	1	2	yes	—
694	#95	C₂³×C₁₁	1	2	yes	—
695	#95	C₂³×C₁₁	1	2	yes	—
696	#95	C₂³×C₁₁	1	2	yes	—
697	#95	C₂³×C₁₁	1	2	yes	—
698	C₂×C₁₁	—	2	4	no	—
699	C₂×C₁₁	#3444	1	1	yes	characteristic
700	C₂×C₁₁	C₂×#554	1	1	yes	characteristic
701	C₂×C₁₁	C₂×#557	1	1	yes	characteristic
702	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
703	C₂×C₁₁	#3495	1	1	yes	characteristic
704	C₂×C₁₁	#3505	1	1	yes	characteristic
705	C₂×C₁₁	#3520	1	1	yes	characteristic
706	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
707	C₂×Q₈	—	2	2	no	—
708	C₂×Q₈	—	2	4	no	—
709	C₂×Q₈	—	2	2	no	—
710	C₂×Q₈	—	4	2	no	—
711	C₂×Q₈	—	4	2	no	—
712	C₂×Q₈	C₂×Q₈×C₁₁	1	4	yes	—
713	C₂²×C₄	—	2	2	no	—
714	C₂²×C₄	—	2	2	no	—
715	C₂²×C₄	—	2	2	no	—
716	C₂²×C₄	—	2	2	no	—
717	C₂²×C₄	—	2	2	no	—
718	C₂²×C₄	—	2	2	no	—
719	C₂²×C₄	—	2	2	no	—
720	C₂²×C₄	—	2	2	no	—
721	C₂²×C₄	—	2	2	no	—
722	C₂²×C₄	—	2	2	no	—
723	C₂²×C₄	—	2	2	no	—
724	C₂²×C₄	—	2	2	no	—
725	C₂²×C₄	—	4	1	no	—
726	C₂²×C₄	—	4	1	no	—
727	C₂²×C₄	—	4	1	no	—
728	C₂²×C₄	—	4	1	no	—
729	C₂²×C₄	—	4	1	no	—
730	C₂²×C₄	—	4	1	no	—
731	C₂²×C₄	—	4	1	no	—
732	C₂²×C₄	C₂×Q₈×C₁₁	1	4	yes	—
733	C₂²×C₄	C₁₁×#41	1	4	yes	—
734	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
735	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
736	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
737	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
738	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
739	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
740	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
741	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
742	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
743	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
744	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
745	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
746	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
747	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
748	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
749	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
750	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
751	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
752	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
753	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
754	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
755	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
756	C₄⋊C₄	—	2	2	no	—
757	C₄⋊C₄	—	2	2	no	—
758	C₄⋊C₄	—	2	2	no	—
759	C₄⋊C₄	—	2	2	no	—
760	C₄⋊C₄	—	2	2	no	—
761	C₄⋊C₄	—	2	2	no	—
762	C₄⋊C₄	—	2	2	no	—
763	C₄⋊C₄	—	2	4	no	—
764	C₄⋊C₄	—	2	2	no	—
765	C₄⋊C₄	—	2	4	no	—
766	C₄⋊C₄	—	2	4	no	—
767	C₄⋊C₄	—	2	4	no	—
768	C₄⋊C₄	—	2	4	no	—
769	C₄⋊C₄	—	2	4	no	—
770	C₄⋊C₄	—	2	4	no	—
771	C₄⋊C₄	—	2	4	no	—
772	C₄⋊C₄	—	2	4	no	—
773	C₄⋊C₄	—	2	4	no	—
774	C₄⋊C₄	—	2	4	no	—
775	C₄⋊C₄	—	2	2	no	—
776	C₄⋊C₄	—	2	2	no	—
777	C₄⋊C₄	—	2	2	no	—
778	C₄⋊C₄	—	2	2	no	—
779	C₄⋊C₄	—	2	2	no	—
780	C₄⋊C₄	—	4	2	no	—
781	C₄⋊C₄	—	4	2	no	—
782	C₄⋊C₄	—	4	2	no	—
783	C₄⋊C₄	—	4	2	no	—
784	C₄⋊C₄	—	4	2	no	—
785	C₄⋊C₄	—	4	2	no	—
786	C₄⋊C₄	—	4	2	no	—
787	C₄⋊C₄	—	4	2	no	—
788	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
789	C₄⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
790	C₄⋊C₄	C₁₁×#41	1	4	yes	—
791	C₂²⋊C₄	—	2	4	no	—
792	C₂²⋊C₄	—	2	4	no	—
793	C₂²⋊C₄	—	2	4	no	—
794	C₂²⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
795	C₄²	—	2	2	no	—
796	C₄²	—	2	2	no	—
797	C₄²	—	2	2	no	—
798	C₄²	—	2	4	no	—
799	C₄²	—	2	4	no	—
800	C₄²	—	2	2	no	—
801	C₄²	—	2	2	no	—
802	C₄²	—	2	2	no	—
803	C₄²	—	2	2	no	—
804	C₄²	—	4	1	no	—
805	C₄²	—	4	1	no	—
806	C₄²	—	4	1	no	—
807	C₄²	—	4	1	no	—
808	C₄²	—	4	2	no	—
809	C₄²	—	4	2	no	—
810	C₄²	—	4	2	no	—
811	C₄²	—	4	2	no	—
812	C₄²	C₁₁×#41	1	4	yes	—
813	C₁₁	#36571	1	1	yes	characteristic, direct product factor, Sylow
814	C₂³	—	2	1	no	—
815	C₂³	—	2	1	no	—
816	C₂³	—	2	1	no	—
817	C₂³	—	2	1	no	—
818	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
819	C₂³	C₂×C₁₁×#41	1	2	yes	—
820	C₂³	C₁₁×2₋¹⁺⁴	1	2	yes	—
821	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
822	Q₈	—	2	8	no	—
823	Q₈	—	8	4	no	—
824	C₂×C₄	—	2	8	no	—
825	C₂×C₄	—	2	1	no	—
826	C₂×C₄	—	2	1	no	—
827	C₂×C₄	—	2	2	no	—
828	C₂×C₄	—	2	2	no	—
829	C₂×C₄	—	2	1	no	—
830	C₂×C₄	—	2	1	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	1	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	1	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	1	no	—
837	C₂×C₄	—	2	2	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	2	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	8	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	2	no	—
848	C₂×C₄	—	2	2	no	—
849	C₂×C₄	—	2	2	no	—
850	C₂×C₄	—	2	2	no	—
851	C₂×C₄	—	2	2	no	—
852	C₂×C₄	—	2	2	no	—
853	C₂×C₄	—	2	2	no	—
854	C₂×C₄	—	2	2	no	—
855	C₂×C₄	—	2	2	no	—
856	C₂×C₄	—	2	2	no	—
857	C₂×C₄	—	2	1	no	—
858	C₂×C₄	—	2	1	no	—
859	C₂×C₄	—	2	1	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	2	1	no	—
863	C₂×C₄	—	2	1	no	—
864	C₂×C₄	—	2	1	no	—
865	C₂×C₄	—	2	2	no	—
866	C₂×C₄	—	2	2	no	—
867	C₂×C₄	—	2	2	no	—
868	C₂×C₄	—	2	2	no	—
869	C₂×C₄	—	2	2	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	1	no	—
873	C₂×C₄	—	2	2	no	—
874	C₂×C₄	—	2	2	no	—
875	C₂×C₄	—	2	1	no	—
876	C₂×C₄	—	2	1	no	—
877	C₂×C₄	—	2	1	no	—
878	C₂×C₄	—	2	2	no	—
879	C₂×C₄	—	4	4	no	—
880	C₂×C₄	—	4	4	no	—
881	C₂×C₄	—	4	4	no	—
882	C₂×C₄	—	4	4	no	—
883	C₂×C₄	—	4	4	no	—
884	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
885	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
886	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
887	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
888	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
889	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
890	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
891	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
892	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
893	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
894	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
895	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
896	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
897	C₂²	—	2	2	no	—
898	C₂²	—	2	2	no	—
899	C₂²	—	2	2	no	—
900	C₂²	—	2	2	no	—
901	C₂²	—	2	2	no	—
902	C₂²	—	2	2	no	—
903	C₂²	C₁₁×#557	1	4	yes	—
904	C₂²	C₂³×Q₈×C₁₁	1	1	yes	characteristic
905	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
906	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
907	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
908	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
909	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
910	C₂²	C₁₁×#585	1	1	yes	characteristic
911	C₄	—	2	2	no	—
912	C₄	—	2	2	no	—
913	C₄	—	2	2	no	—
914	C₄	—	2	4	no	—
915	C₄	—	2	4	no	—
916	C₄	—	2	2	no	—
917	C₄	—	2	2	no	—
918	C₄	—	2	2	no	—
919	C₄	—	2	2	no	—
920	C₄	—	2	2	no	—
921	C₄	—	4	2	no	—
922	C₄	—	4	2	no	—
923	C₄	—	4	1	no	—
924	C₄	—	4	2	no	—
925	C₄	—	4	1	no	—
926	C₄	—	4	1	no	—
927	C₄	—	4	2	no	—
928	C₄	—	4	2	no	—
929	C₄	—	4	1	no	—
930	C₄	—	4	1	no	—
931	C₄	—	4	2	no	—
932	C₄	C₁₁×#554	1	4	yes	—
933	C₂	—	2	4	no	—
934	C₂	C₁₁×#3444	1	1	yes	characteristic
935	C₂	C₂×C₁₁×#554	1	1	yes	characteristic
936	C₂	C₂×C₁₁×#557	1	1	yes	characteristic
937	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
938	C₂	C₁₁×#3495	1	1	yes	characteristic
939	C₂	C₁₁×#3505	1	1	yes	characteristic
940	C₂	C₁₁×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂⁴×C₁₁	C₂⁴
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
4. C₁₁×#2588	C₂	semidirect
5. C₁₁×#2585	C₂	semidirect
7. C₁₁×#2565	C₂	semidirect
8. C₁₁×#2550	C₂	semidirect
9. C₁₁×#2520	C₂	semidirect
10. C₁₁×#2509	C₂	semidirect
11. C₁₁×#2506	C₂	semidirect
14. C₁₁×#2453	C₂	semidirect
15. C₁₁×#2451	C₂	semidirect
16. C₁₁×#2370	C₂	semidirect
17. C₁₁×#2370	C₂	semidirect
19. C₁₁×#2351	C₂	semidirect
137. C₁₁×C₂²⋊Q₈	Q₈	semidirect
236. #36571	C₁₁	direct (N × H)
347. #2588	C₂×C₁₁	semidirect
348. #2585	C₂×C₁₁	semidirect
350. #2565	C₂×C₁₁	semidirect
351. #2550	C₂×C₁₁	semidirect
352. #2520	C₂×C₁₁	semidirect
353. #2509	C₂×C₁₁	semidirect
354. #2506	C₂×C₁₁	semidirect
357. #2453	C₂×C₁₁	semidirect
358. #2451	C₂×C₁₁	semidirect
359. #2370	C₂×C₁₁	semidirect
360. #2370	C₂×C₁₁	semidirect
362. #2351	C₂×C₁₁	semidirect
599. C₂²⋊Q₈	Q₈×C₁₁	semidirect
813. C₁₁	#36571	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×#2588	2
C₁₁×#2585	2
C₁₁×#2583	2
C₁₁×#2565	2
C₁₁×#2550	2
C₁₁×#2520	2
C₁₁×#2509	2
C₁₁×#2506	2
C₁₁×#2505	2
C₁₁×#2473	2
C₁₁×#2453	2
C₁₁×#2451	2
C₁₁×#2370	2
C₁₁×#2368	2
C₁₁×#2351	2
C₄×C₁₁×C₂²⋊Q₈	2
C₂×C₄×C₁₁×C₄⋊C₄	2
#36571	11

Subgroups — C11×#36571 #14613764

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36571 #14613764