Subgroups — C₁₁×#36553 #14613746

Order 2816.

1834 conjugacy classes of subgroups.

The subgroup lattice has 968 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2855	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#2855	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2588	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2587	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2585	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2574	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2511	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2507	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2505	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2497	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2492	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2450	C₂	1	2	yes	maximal
13	C₁₁×#2440	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2417	C₂	1	1	yes	maximal, characteristic
15	C₁₁×#2369	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2360	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2360	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#2355	C₂	1	1	yes	maximal, characteristic, complemented
19	D₄×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
20	C₁₁×#2345	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₁×#123	C₂	1	1	yes	maximal, characteristic
22	C₄×C₁₁×#123	C₂	1	2	yes	maximal
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×#123	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
29	C₂×C₄×Q₈×C₁₁	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	C₂²×C₁₁×C₄⋊C₄	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	2	yes	—
37	C₁₁×#400	C₂²	1	2	yes	—
38	C₁₁×#400	C₂²	1	2	yes	—
39	C₁₁×#400	C₂²	1	2	yes	—
40	C₁₁×#400	C₂²	1	2	yes	—
41	C₁₁×#398	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×#396	C₂²	1	2	yes	—
46	C₁₁×#396	C₂²	1	2	yes	—
47	C₁₁×#395	C₂²	1	2	yes	—
48	C₁₁×#393	C₂²	1	2	yes	—
49	C₁₁×#391	C₂²	1	1	yes	characteristic
50	C₁₁×#391	C₂²	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
65	C₁₁×#389	C₂²	1	2	yes	—
66	C₁₁×#389	C₂²	1	2	yes	—
67	C₁₁×#388	C₂²	1	2	yes	—
68	C₁₁×#388	C₂²	1	2	yes	—
69	C₁₁×#388	C₂²	1	1	yes	characteristic
70	C₁₁×#388	C₂²	1	1	yes	characteristic
71	C₁₁×#387	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	1	yes	characteristic
79	C₁₁×#387	C₂²	1	1	yes	characteristic
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×#386	C₂²	1	2	yes	—
86	C₁₁×#386	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
92	C₁₁×#385	C₂²	1	2	yes	—
93	C₁₁×#385	C₂²	1	2	yes	—
94	C₁₁×#384	C₂²	1	1	yes	characteristic
95	C₁₁×#384	C₂²	1	1	yes	characteristic
96	C₁₁×#382	C₂²	1	2	yes	—
97	C₁₁×#381	C₂²	1	2	yes	—
98	C₁₁×#381	C₂²	1	1	yes	characteristic
99	C₁₁×#380	C₂²	1	1	yes	characteristic
100	C₁₁×#380	C₂²	1	2	yes	—
101	C₁₁×#380	C₂²	1	1	yes	characteristic
102	C₁₁×#380	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	2	yes	—
109	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
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	2	yes	—
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
114	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₂×C₁₁×#95	C₂²	1	2	yes	—
123	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×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	2	yes	—
128	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
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	C₁₁×C₄⋊Q₈	—	2	4	no	—
134	C₁₁×#123	Q₈	1	8	yes	complemented
135	C₁₁×C₂²⋊Q₈	—	2	4	no	—
136	C₁₁×C₂²⋊Q₈	—	2	4	no	—
137	C₁₁×C₂²⋊Q₈	—	4	4	no	—
138	C₄×Q₈×C₁₁	—	2	4	no	—
139	C₄×D₄×C₁₁	—	2	4	no	—
140	C₄×D₄×C₁₁	—	4	4	no	—
141	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
142	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
143	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
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	2	yes	—
147	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
148	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
159	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
160	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
161	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
170	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
171	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
172	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
173	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
186	C₂×C₄²×C₁₁	—	2	4	no	—
187	C₂×C₄²×C₁₁	—	4	4	no	—
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	1	yes	characteristic
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	2	yes	—
197	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
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	C₁₁×#95	C₂³	1	2	yes	—
203	C₁₁×#95	C₂³	1	2	yes	—
204	C₁₁×#95	C₂³	1	2	yes	—
205	C₁₁×#95	C₂³	1	2	yes	—
206	C₁₁×#95	C₂³	1	1	yes	characteristic
207	C₁₁×#95	C₂³	1	2	yes	—
208	C₁₁×#95	C₂³	1	2	yes	—
209	C₁₁×#95	C₂³	1	1	yes	characteristic
210	C₁₁×#95	C₂³	1	1	yes	characteristic
211	C₁₁×#95	C₂³	1	1	yes	characteristic
212	C₁₁×#95	C₂³	1	2	yes	—
213	C₁₁×#95	C₂³	1	2	yes	—
214	C₁₁×#95	C₂³	1	1	yes	characteristic
215	C₁₁×#95	C₂³	1	2	yes	—
216	C₁₁×#95	C₂³	1	1	yes	characteristic
217	C₁₁×#95	C₂³	1	2	yes	—
218	C₁₁×#95	C₂³	1	2	yes	—
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	1	yes	characteristic
223	C₁₁×#95	C₂³	1	2	yes	—
224	C₁₁×#95	C₂³	1	1	yes	characteristic
225	C₁₁×#95	C₂³	1	2	yes	—
226	C₁₁×#95	C₂³	1	2	yes	—
227	C₁₁×#95	C₂³	1	1	yes	characteristic
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	#36553	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
236	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
237	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
238	C₂×Q₈×C₁₁	—	2	2	no	—
239	C₂×Q₈×C₁₁	—	2	2	no	—
240	C₂×Q₈×C₁₁	—	2	2	no	—
241	C₂×Q₈×C₁₁	—	2	4	no	—
242	C₂×Q₈×C₁₁	—	4	2	no	—
243	C₂×Q₈×C₁₁	—	4	2	no	—
244	C₂×D₄×C₁₁	—	2	2	no	—
245	C₂×D₄×C₁₁	—	2	2	no	—
246	C₂×D₄×C₁₁	C₂×Q₈	1	4	yes	—
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	4	no	—
253	C₂²×C₄×C₁₁	—	2	4	no	—
254	C₂²×C₄×C₁₁	—	2	4	no	—
255	C₂²×C₄×C₁₁	—	2	4	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	4	no	—
260	C₂²×C₄×C₁₁	—	4	2	no	—
261	C₂²×C₄×C₁₁	—	4	2	no	—
262	C₂²×C₄×C₁₁	—	4	1	no	—
263	C₂²×C₄×C₁₁	—	4	1	no	—
264	C₂²×C₄×C₁₁	—	4	2	no	—
265	C₂²×C₄×C₁₁	—	4	2	no	—
266	C₂²×C₄×C₁₁	C₂×Q₈	1	4	yes	—
267	C₂²×C₄×C₁₁	#41	1	4	yes	—
268	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
269	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
270	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
271	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
272	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
273	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
274	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
275	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
276	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
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	2	yes	—
286	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
287	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
289	C₁₁×C₄⋊C₄	—	2	4	no	—
290	C₁₁×C₄⋊C₄	—	2	4	no	—
291	C₁₁×C₄⋊C₄	—	2	4	no	—
292	C₁₁×C₄⋊C₄	—	2	2	no	—
293	C₁₁×C₄⋊C₄	—	2	2	no	—
294	C₁₁×C₄⋊C₄	—	2	2	no	—
295	C₁₁×C₄⋊C₄	—	2	2	no	—
296	C₁₁×C₄⋊C₄	—	2	4	no	—
297	C₁₁×C₄⋊C₄	—	2	2	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	2	no	—
302	C₁₁×C₄⋊C₄	—	4	1	no	—
303	C₁₁×C₄⋊C₄	—	4	1	no	—
304	C₁₁×C₄⋊C₄	—	4	2	no	—
305	C₁₁×C₄⋊C₄	—	4	2	no	—
306	C₁₁×C₄⋊C₄	—	4	2	no	—
307	C₁₁×C₄⋊C₄	—	4	2	no	—
308	C₁₁×C₄⋊C₄	—	4	2	no	—
309	C₁₁×C₄⋊C₄	—	4	2	no	—
310	C₁₁×C₄⋊C₄	—	4	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	C₂×Q₈	1	4	yes	—
315	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
316	C₁₁×C₄⋊C₄	#41	1	4	yes	—
317	C₁₁×C₄⋊C₄	#41	1	4	yes	—
318	C₁₁×C₂²⋊C₄	—	2	2	no	—
319	C₁₁×C₂²⋊C₄	—	2	4	no	—
320	C₁₁×C₂²⋊C₄	—	2	4	no	—
321	C₁₁×C₂²⋊C₄	—	2	2	no	—
322	C₁₁×C₂²⋊C₄	—	2	2	no	—
323	C₁₁×C₂²⋊C₄	—	2	4	no	—
324	C₁₁×C₂²⋊C₄	—	4	2	no	—
325	C₁₁×C₂²⋊C₄	—	4	1	no	—
326	C₁₁×C₂²⋊C₄	—	4	1	no	—
327	C₁₁×C₂²⋊C₄	—	4	2	no	—
328	C₁₁×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
329	C₁₁×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
330	C₁₁×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
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	—	2	2	no	—
336	C₄²×C₁₁	—	2	2	no	—
337	C₄²×C₁₁	—	2	4	no	—
338	C₄²×C₁₁	—	2	2	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	—	4	2	no	—
344	C₄²×C₁₁	—	4	2	no	—
345	#2855	C₂×C₁₁	1	1	yes	characteristic, complemented
346	#2855	C₂×C₁₁	1	2	yes	complemented
347	#2588	C₂×C₁₁	1	2	yes	complemented
348	#2587	C₂×C₁₁	1	2	yes	complemented
349	#2585	C₂×C₁₁	1	2	yes	complemented
350	#2574	C₂×C₁₁	1	2	yes	complemented
351	#2511	C₂×C₁₁	1	1	yes	characteristic, complemented
352	#2507	C₂×C₁₁	1	1	yes	characteristic, complemented
353	#2505	C₂×C₁₁	1	2	yes	complemented
354	#2497	C₂×C₁₁	1	1	yes	characteristic, complemented
355	#2492	C₂×C₁₁	1	1	yes	characteristic, complemented
356	#2450	C₂×C₁₁	1	2	yes	—
357	#2440	C₂×C₁₁	1	1	yes	characteristic, complemented
358	#2417	C₂×C₁₁	1	1	yes	characteristic
359	#2369	C₂×C₁₁	1	1	yes	characteristic, complemented
360	#2360	C₂×C₁₁	1	1	yes	characteristic, complemented
361	#2360	C₂×C₁₁	1	1	yes	characteristic, complemented
362	#2355	C₂×C₁₁	1	1	yes	characteristic, complemented
363	D₄×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic
364	#2345	C₂×C₁₁	1	1	yes	characteristic, complemented
365	C₄×#123	C₂×C₁₁	1	1	yes	characteristic
366	C₄×#123	C₂×C₁₁	1	2	yes	—
367	C₂×C₄×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
368	C₂³×C₁₁	—	2	1	no	—
369	C₂³×C₁₁	—	2	1	no	—
370	C₂³×C₁₁	—	2	1	no	—
371	C₂³×C₁₁	—	2	1	no	—
372	C₂³×C₁₁	—	2	1	no	—
373	C₂³×C₁₁	—	2	1	no	—
374	C₂³×C₁₁	—	2	1	no	—
375	C₂³×C₁₁	—	2	1	no	—
376	C₂³×C₁₁	—	2	1	no	—
377	C₂³×C₁₁	—	2	1	no	—
378	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
379	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
380	C₂³×C₁₁	C₂×#41	1	2	yes	—
381	C₂³×C₁₁	H(5,𝔽₂)	1	2	yes	—
382	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
383	Q₈×C₁₁	—	4	4	no	—
384	Q₈×C₁₁	—	8	4	no	—
385	D₄×C₁₁	—	2	8	no	—
386	C₂×C₄×C₁₁	—	2	8	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	1	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	1	no	—
395	C₂×C₄×C₁₁	—	2	1	no	—
396	C₂×C₄×C₁₁	—	2	2	no	—
397	C₂×C₄×C₁₁	—	2	1	no	—
398	C₂×C₄×C₁₁	—	2	2	no	—
399	C₂×C₄×C₁₁	—	2	1	no	—
400	C₂×C₄×C₁₁	—	2	2	no	—
401	C₂×C₄×C₁₁	—	2	1	no	—
402	C₂×C₄×C₁₁	—	2	2	no	—
403	C₂×C₄×C₁₁	—	2	8	no	—
404	C₂×C₄×C₁₁	—	2	1	no	—
405	C₂×C₄×C₁₁	—	2	1	no	—
406	C₂×C₄×C₁₁	—	2	1	no	—
407	C₂×C₄×C₁₁	—	2	1	no	—
408	C₂×C₄×C₁₁	—	2	2	no	—
409	C₂×C₄×C₁₁	—	2	1	no	—
410	C₂×C₄×C₁₁	—	2	2	no	—
411	C₂×C₄×C₁₁	—	2	1	no	—
412	C₂×C₄×C₁₁	—	2	2	no	—
413	C₂×C₄×C₁₁	—	2	2	no	—
414	C₂×C₄×C₁₁	—	2	1	no	—
415	C₂×C₄×C₁₁	—	2	1	no	—
416	C₂×C₄×C₁₁	—	2	2	no	—
417	C₂×C₄×C₁₁	—	2	2	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	2	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	—	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	2	no	—
438	C₂×C₄×C₁₁	—	2	2	no	—
439	C₂×C₄×C₁₁	—	2	2	no	—
440	C₂×C₄×C₁₁	—	4	8	no	—
441	C₂×C₄×C₁₁	—	4	8	no	—
442	C₂×C₄×C₁₁	—	4	4	no	—
443	C₂×C₄×C₁₁	—	4	4	no	—
444	C₂×C₄×C₁₁	—	8	4	no	—
445	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
446	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
447	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
448	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
449	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
450	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
451	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
452	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
453	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
454	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
455	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
456	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
457	C₂×#123	C₂²×C₁₁	1	1	yes	characteristic
458	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
459	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
460	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
461	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
462	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
463	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
464	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
465	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
466	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
467	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
468	C₂²×C₄²	C₂²×C₁₁	1	2	yes	—
469	#400	C₂²×C₁₁	1	2	yes	—
470	#400	C₂²×C₁₁	1	2	yes	—
471	#400	C₂²×C₁₁	1	2	yes	—
472	#400	C₂²×C₁₁	1	2	yes	—
473	#398	C₂²×C₁₁	1	2	yes	—
474	#398	C₂²×C₁₁	1	2	yes	—
475	#398	C₂²×C₁₁	1	2	yes	—
476	#398	C₂²×C₁₁	1	2	yes	—
477	#396	C₂²×C₁₁	1	2	yes	—
478	#396	C₂²×C₁₁	1	2	yes	—
479	#395	C₂²×C₁₁	1	2	yes	—
480	#393	C₂²×C₁₁	1	2	yes	—
481	#391	C₂²×C₁₁	1	2	yes	—
482	#391	C₂²×C₁₁	1	2	yes	—
483	#391	C₂²×C₁₁	1	2	yes	—
484	#391	C₂²×C₁₁	1	1	yes	characteristic
485	#391	C₂²×C₁₁	1	1	yes	characteristic
486	#391	C₂²×C₁₁	1	1	yes	characteristic
487	#391	C₂²×C₁₁	1	1	yes	characteristic
488	#389	C₂²×C₁₁	1	2	yes	—
489	#389	C₂²×C₁₁	1	2	yes	—
490	#389	C₂²×C₁₁	1	2	yes	—
491	#389	C₂²×C₁₁	1	2	yes	—
492	#389	C₂²×C₁₁	1	2	yes	—
493	#389	C₂²×C₁₁	1	1	yes	characteristic
494	#389	C₂²×C₁₁	1	1	yes	characteristic
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	#389	C₂²×C₁₁	1	1	yes	characteristic
499	#388	C₂²×C₁₁	1	1	yes	characteristic
500	#388	C₂²×C₁₁	1	2	yes	—
501	#388	C₂²×C₁₁	1	1	yes	characteristic
502	#388	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	1	yes	characteristic
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	#387	C₂²×C₁₁	1	1	yes	characteristic
514	#387	C₂²×C₁₁	1	2	yes	—
515	#387	C₂²×C₁₁	1	2	yes	—
516	#387	C₂²×C₁₁	1	2	yes	—
517	#386	C₂²×C₁₁	1	2	yes	—
518	#386	C₂²×C₁₁	1	1	yes	characteristic
519	#385	C₂²×C₁₁	1	2	yes	—
520	#385	C₂²×C₁₁	1	2	yes	—
521	#385	C₂²×C₁₁	1	2	yes	—
522	#385	C₂²×C₁₁	1	2	yes	—
523	#385	C₂²×C₁₁	1	2	yes	—
524	#385	C₂²×C₁₁	1	2	yes	—
525	#385	C₂²×C₁₁	1	1	yes	characteristic
526	#384	C₂²×C₁₁	1	1	yes	characteristic
527	#384	C₂²×C₁₁	1	1	yes	characteristic
528	#382	C₂²×C₁₁	1	2	yes	—
529	#381	C₂²×C₁₁	1	2	yes	—
530	#381	C₂²×C₁₁	1	1	yes	characteristic
531	#380	C₂²×C₁₁	1	2	yes	—
532	#380	C₂²×C₁₁	1	1	yes	characteristic
533	#380	C₂²×C₁₁	1	2	yes	—
534	#380	C₂²×C₁₁	1	1	yes	characteristic
535	#380	C₂²×C₁₁	1	1	yes	characteristic
536	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
537	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
538	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
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×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
545	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
546	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
547	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
548	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
549	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
550	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
551	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
552	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
553	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
554	C₂×#95	C₂²×C₁₁	1	2	yes	—
555	C₂²×C₁₁	—	2	2	no	—
556	C₂²×C₁₁	—	2	2	no	—
557	C₂²×C₁₁	—	2	2	no	—
558	C₂²×C₁₁	—	2	2	no	—
559	C₂²×C₁₁	—	2	2	no	—
560	C₂²×C₁₁	—	2	2	no	—
561	C₂²×C₁₁	—	2	2	no	—
562	C₂²×C₁₁	—	2	2	no	—
563	C₂²×C₁₁	—	2	2	no	—
564	C₂²×C₁₁	—	4	1	no	—
565	C₂²×C₁₁	—	4	1	no	—
566	C₂²×C₁₁	—	4	1	no	—
567	C₂²×C₁₁	—	4	1	no	—
568	C₂²×C₁₁	#554	1	4	yes	—
569	C₂²×C₁₁	C₂³×Q₈	1	1	yes	characteristic
570	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
571	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
572	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
573	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
574	C₂²×C₁₁	#585	1	1	yes	characteristic
575	C₂²×C₁₁	#585	1	1	yes	characteristic
576	C₄×C₁₁	—	2	2	no	—
577	C₄×C₁₁	—	2	2	no	—
578	C₄×C₁₁	—	2	2	no	—
579	C₄×C₁₁	—	2	2	no	—
580	C₄×C₁₁	—	2	2	no	—
581	C₄×C₁₁	—	2	2	no	—
582	C₄×C₁₁	—	2	4	no	—
583	C₄×C₁₁	—	2	4	no	—
584	C₄×C₁₁	—	4	1	no	—
585	C₄×C₁₁	—	4	2	no	—
586	C₄×C₁₁	—	4	1	no	—
587	C₄×C₁₁	—	4	2	no	—
588	C₄×C₁₁	—	4	1	no	—
589	C₄×C₁₁	—	4	1	no	—
590	C₄×C₁₁	—	4	1	no	—
591	C₄×C₁₁	—	4	2	no	—
592	C₄×C₁₁	—	4	2	no	—
593	C₄×C₁₁	—	4	2	no	—
594	C₄×C₁₁	—	4	2	no	—
595	C₄×C₁₁	—	4	1	no	—
596	C₄×C₁₁	#529	1	4	yes	—
597	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
598	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
599	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
600	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
601	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
602	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
603	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
604	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
605	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
606	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
607	C₄⋊Q₈	—	2	4	no	—
608	#123	Q₈×C₁₁	1	8	yes	complemented
609	C₂²⋊Q₈	—	2	4	no	—
610	C₂²⋊Q₈	—	2	4	no	—
611	C₂²⋊Q₈	—	4	4	no	—
612	C₄×Q₈	—	2	4	no	—
613	C₄×D₄	—	2	4	no	—
614	C₄×D₄	—	4	4	no	—
615	C₂×C₄⋊C₄	—	2	4	no	—
616	C₂×C₄⋊C₄	—	2	4	no	—
617	C₂×C₄⋊C₄	—	2	4	no	—
618	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
619	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
620	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
621	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
622	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
623	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
624	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
625	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
626	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
637	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
639	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
640	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
641	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
642	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
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×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
648	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
649	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
650	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
651	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
652	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
653	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
654	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
655	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
656	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
657	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
658	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
659	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
660	C₂×C₄²	—	2	4	no	—
661	C₂×C₄²	—	4	4	no	—
662	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
663	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
664	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
665	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
666	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
667	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
668	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
669	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
670	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
671	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
672	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
673	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
674	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
675	C₂×C₄²	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	1	yes	characteristic
681	#95	C₂³×C₁₁	1	2	yes	—
682	#95	C₂³×C₁₁	1	2	yes	—
683	#95	C₂³×C₁₁	1	1	yes	characteristic
684	#95	C₂³×C₁₁	1	1	yes	characteristic
685	#95	C₂³×C₁₁	1	1	yes	characteristic
686	#95	C₂³×C₁₁	1	2	yes	—
687	#95	C₂³×C₁₁	1	2	yes	—
688	#95	C₂³×C₁₁	1	1	yes	characteristic
689	#95	C₂³×C₁₁	1	2	yes	—
690	#95	C₂³×C₁₁	1	1	yes	characteristic
691	#95	C₂³×C₁₁	1	2	yes	—
692	#95	C₂³×C₁₁	1	2	yes	—
693	#95	C₂³×C₁₁	1	1	yes	characteristic
694	#95	C₂³×C₁₁	1	2	yes	—
695	#95	C₂³×C₁₁	1	2	yes	—
696	#95	C₂³×C₁₁	1	1	yes	characteristic
697	#95	C₂³×C₁₁	1	2	yes	—
698	#95	C₂³×C₁₁	1	1	yes	characteristic
699	#95	C₂³×C₁₁	1	2	yes	—
700	#95	C₂³×C₁₁	1	2	yes	—
701	#95	C₂³×C₁₁	1	1	yes	characteristic
702	#95	C₂³×C₁₁	1	2	yes	—
703	#95	C₂³×C₁₁	1	2	yes	—
704	#95	C₂³×C₁₁	1	2	yes	—
705	#95	C₂³×C₁₁	1	2	yes	—
706	#95	C₂³×C₁₁	1	2	yes	—
707	#95	C₂³×C₁₁	1	2	yes	—
708	#95	C₂³×C₁₁	1	2	yes	—
709	C₂×C₁₁	—	2	4	no	—
710	C₂×C₁₁	—	4	2	no	—
711	C₂×C₁₁	C₂×#529	1	1	yes	characteristic
712	C₂×C₁₁	C₂×#554	1	1	yes	characteristic
713	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
714	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
715	C₂×C₁₁	#3493	1	1	yes	characteristic
716	C₂×C₁₁	#3513	1	1	yes	characteristic
717	C₂×C₁₁	#3513	1	1	yes	characteristic
718	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
719	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
720	C₂×Q₈	—	2	2	no	—
721	C₂×Q₈	—	2	2	no	—
722	C₂×Q₈	—	2	2	no	—
723	C₂×Q₈	—	2	4	no	—
724	C₂×Q₈	—	4	2	no	—
725	C₂×Q₈	—	4	2	no	—
726	C₂×D₄	—	2	2	no	—
727	C₂×D₄	—	2	2	no	—
728	C₂×D₄	C₂×Q₈×C₁₁	1	4	yes	—
729	C₂²×C₄	—	2	2	no	—
730	C₂²×C₄	—	2	2	no	—
731	C₂²×C₄	—	2	2	no	—
732	C₂²×C₄	—	2	2	no	—
733	C₂²×C₄	—	2	2	no	—
734	C₂²×C₄	—	2	4	no	—
735	C₂²×C₄	—	2	4	no	—
736	C₂²×C₄	—	2	4	no	—
737	C₂²×C₄	—	2	4	no	—
738	C₂²×C₄	—	2	2	no	—
739	C₂²×C₄	—	2	2	no	—
740	C₂²×C₄	—	2	2	no	—
741	C₂²×C₄	—	2	4	no	—
742	C₂²×C₄	—	4	2	no	—
743	C₂²×C₄	—	4	2	no	—
744	C₂²×C₄	—	4	1	no	—
745	C₂²×C₄	—	4	1	no	—
746	C₂²×C₄	—	4	2	no	—
747	C₂²×C₄	—	4	2	no	—
748	C₂²×C₄	C₂×Q₈×C₁₁	1	4	yes	—
749	C₂²×C₄	C₁₁×#41	1	4	yes	—
750	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
751	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
752	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
753	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
754	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
755	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
756	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
757	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
758	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
759	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
760	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
761	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
762	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
763	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
764	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
765	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
766	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
767	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
768	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
769	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
770	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
771	C₄⋊C₄	—	2	4	no	—
772	C₄⋊C₄	—	2	4	no	—
773	C₄⋊C₄	—	2	4	no	—
774	C₄⋊C₄	—	2	2	no	—
775	C₄⋊C₄	—	2	2	no	—
776	C₄⋊C₄	—	2	2	no	—
777	C₄⋊C₄	—	2	2	no	—
778	C₄⋊C₄	—	2	4	no	—
779	C₄⋊C₄	—	2	2	no	—
780	C₄⋊C₄	—	2	4	no	—
781	C₄⋊C₄	—	2	4	no	—
782	C₄⋊C₄	—	2	4	no	—
783	C₄⋊C₄	—	2	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	—	4	1	no	—
789	C₄⋊C₄	—	4	1	no	—
790	C₄⋊C₄	—	4	2	no	—
791	C₄⋊C₄	—	4	2	no	—
792	C₄⋊C₄	—	4	2	no	—
793	C₄⋊C₄	—	4	2	no	—
794	C₄⋊C₄	—	4	2	no	—
795	C₄⋊C₄	—	4	2	no	—
796	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
797	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
798	C₄⋊C₄	C₁₁×#41	1	4	yes	—
799	C₄⋊C₄	C₁₁×#41	1	4	yes	—
800	C₂²⋊C₄	—	2	2	no	—
801	C₂²⋊C₄	—	2	4	no	—
802	C₂²⋊C₄	—	2	4	no	—
803	C₂²⋊C₄	—	2	2	no	—
804	C₂²⋊C₄	—	2	2	no	—
805	C₂²⋊C₄	—	2	4	no	—
806	C₂²⋊C₄	—	4	2	no	—
807	C₂²⋊C₄	—	4	2	no	—
808	C₂²⋊C₄	—	4	1	no	—
809	C₂²⋊C₄	—	4	1	no	—
810	C₂²⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
811	C₂²⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
812	C₂²⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
813	C₄²	—	2	2	no	—
814	C₄²	—	2	2	no	—
815	C₄²	—	2	2	no	—
816	C₄²	—	2	2	no	—
817	C₄²	—	2	2	no	—
818	C₄²	—	2	2	no	—
819	C₄²	—	2	4	no	—
820	C₄²	—	2	2	no	—
821	C₄²	—	4	2	no	—
822	C₄²	—	4	2	no	—
823	C₄²	—	4	2	no	—
824	C₄²	—	4	2	no	—
825	C₄²	—	4	2	no	—
826	C₄²	—	4	2	no	—
827	C₁₁	#36553	1	1	yes	characteristic, direct product factor, Sylow
828	C₂³	—	2	1	no	—
829	C₂³	—	2	1	no	—
830	C₂³	—	2	1	no	—
831	C₂³	—	2	1	no	—
832	C₂³	—	2	1	no	—
833	C₂³	—	2	1	no	—
834	C₂³	—	2	1	no	—
835	C₂³	—	2	1	no	—
836	C₂³	—	2	1	no	—
837	C₂³	—	2	1	no	—
838	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
839	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
840	C₂³	C₂×C₁₁×#41	1	2	yes	—
841	C₂³	C₁₁×H(5,𝔽₂)	1	2	yes	—
842	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
843	Q₈	—	4	4	no	—
844	Q₈	—	8	4	no	—
845	D₄	—	2	8	no	—
846	C₂×C₄	—	2	8	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	1	no	—
849	C₂×C₄	—	2	1	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	2	1	no	—
853	C₂×C₄	—	2	1	no	—
854	C₂×C₄	—	2	1	no	—
855	C₂×C₄	—	2	1	no	—
856	C₂×C₄	—	2	2	no	—
857	C₂×C₄	—	2	1	no	—
858	C₂×C₄	—	2	2	no	—
859	C₂×C₄	—	2	1	no	—
860	C₂×C₄	—	2	2	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	2	2	no	—
863	C₂×C₄	—	2	8	no	—
864	C₂×C₄	—	2	1	no	—
865	C₂×C₄	—	2	1	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	1	no	—
868	C₂×C₄	—	2	2	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	2	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	2	no	—
873	C₂×C₄	—	2	2	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	1	no	—
876	C₂×C₄	—	2	2	no	—
877	C₂×C₄	—	2	2	no	—
878	C₂×C₄	—	2	2	no	—
879	C₂×C₄	—	2	2	no	—
880	C₂×C₄	—	2	2	no	—
881	C₂×C₄	—	2	2	no	—
882	C₂×C₄	—	2	2	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	2	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	2	no	—
887	C₂×C₄	—	2	2	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	2	1	no	—
891	C₂×C₄	—	2	2	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	1	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	2	no	—
900	C₂×C₄	—	4	8	no	—
901	C₂×C₄	—	4	8	no	—
902	C₂×C₄	—	4	4	no	—
903	C₂×C₄	—	4	4	no	—
904	C₂×C₄	—	8	4	no	—
905	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
906	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
907	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
908	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
909	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
910	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
911	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
912	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
913	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
914	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
915	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
916	C₂²	—	2	2	no	—
917	C₂²	—	2	2	no	—
918	C₂²	—	2	2	no	—
919	C₂²	—	2	2	no	—
920	C₂²	—	2	2	no	—
921	C₂²	—	2	2	no	—
922	C₂²	—	2	2	no	—
923	C₂²	—	2	2	no	—
924	C₂²	—	2	2	no	—
925	C₂²	—	4	1	no	—
926	C₂²	—	4	1	no	—
927	C₂²	—	4	1	no	—
928	C₂²	—	4	1	no	—
929	C₂²	C₁₁×#554	1	4	yes	—
930	C₂²	C₂³×Q₈×C₁₁	1	1	yes	characteristic
931	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
932	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
933	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
934	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
935	C₂²	C₁₁×#585	1	1	yes	characteristic
936	C₂²	C₁₁×#585	1	1	yes	characteristic
937	C₄	—	2	2	no	—
938	C₄	—	2	2	no	—
939	C₄	—	2	2	no	—
940	C₄	—	2	2	no	—
941	C₄	—	2	2	no	—
942	C₄	—	2	2	no	—
943	C₄	—	2	4	no	—
944	C₄	—	2	4	no	—
945	C₄	—	4	1	no	—
946	C₄	—	4	2	no	—
947	C₄	—	4	1	no	—
948	C₄	—	4	1	no	—
949	C₄	—	4	1	no	—
950	C₄	—	4	2	no	—
951	C₄	—	4	2	no	—
952	C₄	—	4	2	no	—
953	C₄	—	4	2	no	—
954	C₄	—	4	1	no	—
955	C₄	—	4	2	no	—
956	C₄	—	4	1	no	—
957	C₄	C₁₁×#529	1	4	yes	—
958	C₂	—	2	4	no	—
959	C₂	—	4	2	no	—
960	C₂	C₂×C₁₁×#529	1	1	yes	characteristic
961	C₂	C₂×C₁₁×#554	1	1	yes	characteristic
962	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
963	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
964	C₂	C₁₁×#3493	1	1	yes	characteristic
965	C₂	C₁₁×#3513	1	1	yes	characteristic
966	C₂	C₁₁×#3513	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂²×D₄×C₁₁	C₂³
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×#2855	C₂	semidirect
2. C₁₁×#2855	C₂	semidirect
3. C₁₁×#2588	C₂	semidirect
4. C₁₁×#2587	C₂	semidirect
5. C₁₁×#2585	C₂	semidirect
6. C₁₁×#2574	C₂	semidirect
7. C₁₁×#2511	C₂	semidirect
8. C₁₁×#2507	C₂	semidirect
9. C₁₁×#2505	C₂	semidirect
10. C₁₁×#2497	C₂	semidirect
11. C₁₁×#2492	C₂	semidirect
13. C₁₁×#2440	C₂	semidirect
15. C₁₁×#2369	C₂	semidirect
16. C₁₁×#2360	C₂	semidirect
17. C₁₁×#2360	C₂	semidirect
18. C₁₁×#2355	C₂	semidirect
20. C₁₁×#2345	C₂	semidirect
23. C₂×C₄×C₁₁×C₄⋊C₄	C₂	semidirect
134. C₁₁×#123	Q₈	semidirect
235. #36553	C₁₁	direct (N × H)
345. #2855	C₂×C₁₁	semidirect
346. #2855	C₂×C₁₁	semidirect
347. #2588	C₂×C₁₁	semidirect
348. #2587	C₂×C₁₁	semidirect
349. #2585	C₂×C₁₁	semidirect
350. #2574	C₂×C₁₁	semidirect
351. #2511	C₂×C₁₁	semidirect
352. #2507	C₂×C₁₁	semidirect
353. #2505	C₂×C₁₁	semidirect
354. #2497	C₂×C₁₁	semidirect
355. #2492	C₂×C₁₁	semidirect
357. #2440	C₂×C₁₁	semidirect
359. #2369	C₂×C₁₁	semidirect
360. #2360	C₂×C₁₁	semidirect
361. #2360	C₂×C₁₁	semidirect
362. #2355	C₂×C₁₁	semidirect
364. #2345	C₂×C₁₁	semidirect
367. C₂×C₄×C₄⋊C₄	C₂×C₁₁	semidirect
608. #123	Q₈×C₁₁	semidirect
827. C₁₁	#36553	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×#2855	2
C₁₁×#2588	2
C₁₁×#2587	2
C₁₁×#2585	2
C₁₁×#2574	2
C₁₁×#2511	2
C₁₁×#2507	2
C₁₁×#2505	2
C₁₁×#2497	2
C₁₁×#2492	2
C₁₁×#2450	2
C₁₁×#2440	2
C₁₁×#2417	2
C₁₁×#2369	2
C₁₁×#2360	2
C₁₁×#2355	2
D₄×C₁₁×C₄⋊C₄	2
C₁₁×#2345	2
C₄×C₁₁×#123	2
C₂×C₄×C₁₁×C₄⋊C₄	2
#36553	11

Subgroups — C11×#36553 #14613746

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36553 #14613746