Subgroups — C₁₁×#34457 #14611650

Order 2816.

2500 conjugacy classes of subgroups.

The subgroup lattice has 914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#551	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2383	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2379	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#2376	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#2360	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2359	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2358	C₂	1	1	yes	maximal, characteristic
8	D₄×C₁₁×C₄⋊C₄	C₂	1	2	yes	maximal, complemented
9	C₁₁×#2343	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2342	C₂	1	2	yes	maximal, complemented
11	C₁₁×#2334	C₂	1	2	yes	maximal, complemented
12	C₁₁×#2329	C₂	1	2	yes	maximal, complemented
13	C₁₁×#2326	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2322	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2322	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2318	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2317	C₂	1	2	yes	maximal, complemented
18	C₄×C₁₁×#120	C₂	1	1	yes	maximal, characteristic
19	C₂×C₁₁×#385	C₂	1	2	yes	maximal, complemented
20	C₂⁴×C₄×C₁₁	C₂²	1	1	yes	characteristic
21	C₁₁×#551	C₄	1	16	yes	complemented
22	C₂×C₁₁×#126	C₂²	1	2	yes	—
23	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
24	C₂×C₁₁×#123	C₂²	1	2	yes	—
25	C₂×C₁₁×#123	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
27	C₂×C₁₁×#120	C₂²	1	1	yes	characteristic
28	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
31	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
32	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
33	C₂×C₁₁×#117	C₂²	1	2	yes	—
34	C₂×C₁₁×#117	C₂²	1	2	yes	—
35	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
36	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
37	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
39	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
40	C₁₁×#391	C₂²	1	2	yes	complemented
41	C₁₁×#391	C₂²	1	1	yes	characteristic, complemented
42	C₁₁×#390	C₂²	1	1	yes	characteristic
43	C₁₁×#389	C₂²	1	2	yes	complemented
44	C₁₁×#389	C₂²	1	2	yes	complemented
45	C₁₁×#389	C₂²	1	2	yes	complemented
46	C₁₁×#389	C₂²	1	2	yes	complemented
47	C₁₁×#389	C₂²	1	2	yes	complemented
48	C₁₁×#389	C₂²	1	2	yes	complemented
49	C₁₁×#389	C₂²	1	2	yes	complemented
50	C₁₁×#388	C₂²	1	2	yes	—
51	C₁₁×#388	C₂²	1	2	yes	—
52	C₁₁×#388	C₂²	1	2	yes	—
53	C₁₁×#388	C₂²	1	2	yes	—
54	C₁₁×#388	C₂²	1	2	yes	—
55	C₁₁×#388	C₂²	1	2	yes	complemented
56	C₁₁×#388	C₂²	1	2	yes	complemented
57	C₁₁×#388	C₂²	1	2	yes	complemented
58	C₁₁×#387	C₂²	1	2	yes	complemented
59	C₁₁×#387	C₂²	1	2	yes	complemented
60	C₁₁×#387	C₂²	1	2	yes	complemented
61	C₁₁×#387	C₂²	1	2	yes	complemented
62	C₁₁×#387	C₂²	1	2	yes	complemented
63	C₁₁×#387	C₂²	1	2	yes	complemented
64	C₁₁×#387	C₂²	1	2	yes	complemented
65	C₁₁×#387	C₂²	1	2	yes	complemented
66	C₁₁×#386	C₂²	1	1	yes	characteristic
67	C₁₁×#386	C₂²	1	1	yes	characteristic
68	C₁₁×#386	C₂²	1	2	yes	—
69	C₁₁×#386	C₂²	1	2	yes	—
70	C₁₁×#385	C₂²	1	2	yes	—
71	C₁₁×#385	C₂²	1	1	yes	characteristic
72	C₁₁×#385	C₂²	1	2	yes	—
73	C₁₁×#385	C₂²	1	2	yes	—
74	C₁₁×#385	C₂²	1	2	yes	—
75	C₁₁×#385	C₂²	1	2	yes	—
76	C₁₁×#385	C₂²	1	2	yes	—
77	C₁₁×#385	C₂²	1	2	yes	—
78	C₁₁×#385	C₂²	1	2	yes	—
79	C₁₁×#385	C₂²	1	2	yes	—
80	C₁₁×#385	C₂²	1	2	yes	—
81	C₁₁×#385	C₂²	1	2	yes	—
82	C₁₁×#385	C₂²	1	2	yes	—
83	C₁₁×#385	C₂²	1	2	yes	complemented
84	C₁₁×#385	C₂²	1	1	yes	characteristic, complemented
85	C₁₁×#385	C₂²	1	2	yes	complemented
86	C₁₁×#384	C₂²	1	2	yes	complemented
87	C₁₁×#384	C₂²	1	1	yes	characteristic, complemented
88	C₁₁×#383	C₂²	1	2	yes	complemented
89	C₁₁×#382	C₂²	1	2	yes	complemented
90	C₁₁×#382	C₂²	1	2	yes	complemented
91	C₁₁×#381	C₂²	1	2	yes	—
92	C₁₁×#381	C₂²	1	1	yes	characteristic, complemented
93	C₁₁×#380	C₂²	1	2	yes	—
94	C₁₁×#380	C₂²	1	2	yes	complemented
95	C₁₁×#379	C₂²	1	1	yes	characteristic
96	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
97	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
98	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
99	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
100	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
101	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
102	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
103	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
104	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
105	C₁₁×#376	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₁₁×#95	C₂²	1	2	yes	—
107	C₂×C₁₁×#95	C₂²	1	2	yes	—
108	C₂⁵×C₁₁	C₂³	1	1	yes	characteristic
109	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
110	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
111	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
112	C₂³×C₄×C₁₁	—	4	2	no	—
113	C₂³×C₄×C₁₁	—	4	4	no	—
114	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
115	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
116	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
117	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
118	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
119	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
120	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
121	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
122	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
123	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
124	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
125	C₁₁×#126	C₂×C₄	1	16	yes	complemented
126	C₁₁×#124	C₂×C₄	1	8	yes	complemented
127	C₁₁×#123	C₂×C₄	1	8	yes	complemented
128	C₁₁×#123	C₂×C₄	1	16	yes	complemented
129	C₁₁×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
130	C₁₁×#120	C₂×C₄	1	8	yes	—
131	C₄×Q₈×C₁₁	—	4	2	no	—
132	C₄×D₄×C₁₁	—	4	2	no	—
133	C₄×D₄×C₁₁	—	4	4	no	—
134	C₄×D₄×C₁₁	—	4	4	no	—
135	C₄×D₄×C₁₁	C₂×C₄	1	16	yes	complemented
136	C₁₁×#117	—	4	4	no	—
137	C₁₁×#117	C₂×C₄	1	16	yes	complemented
138	C₂×C₁₁×C₄⋊C₄	—	4	4	no	—
139	C₂×C₁₁×C₄⋊C₄	—	4	2	no	—
140	C₂×C₁₁×C₄⋊C₄	—	4	4	no	—
141	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
142	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
143	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
144	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
145	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
149	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
151	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
152	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
153	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
160	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₁×C₂²⋊C₄	—	4	4	no	—
162	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	16	yes	complemented
163	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
164	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
171	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
172	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
177	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
184	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
185	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
186	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
187	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
188	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
189	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
190	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
191	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
193	C₁₁×#95	C₂³	1	2	yes	—
194	C₁₁×#95	C₂³	1	2	yes	—
195	C₁₁×#95	C₂³	1	2	yes	—
196	C₁₁×#95	C₂³	1	2	yes	—
197	C₁₁×#95	C₂³	1	2	yes	—
198	C₁₁×#95	C₂³	1	2	yes	—
199	C₁₁×#95	C₂³	1	2	yes	—
200	C₁₁×#95	C₂³	1	2	yes	—
201	C₁₁×#95	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	2	yes	—
207	C₁₁×#95	C₂³	1	2	yes	—
208	C₁₁×#95	C₂³	1	2	yes	—
209	C₁₁×#95	C₂³	1	2	yes	—
210	C₁₁×#95	C₂³	1	2	yes	—
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	#34457	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
216	C₂⁴×C₁₁	—	2	4	no	—
217	C₂⁴×C₁₁	—	2	4	no	—
218	C₂⁴×C₁₁	—	4	1	no	—
219	C₂⁴×C₁₁	—	4	1	no	—
220	C₂⁴×C₁₁	C₂²×C₄	1	4	yes	—
221	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
222	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
223	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
224	C₂×Q₈×C₁₁	—	4	1	no	—
225	C₂×Q₈×C₁₁	—	4	1	no	—
226	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	complemented
227	C₂×D₄×C₁₁	—	2	4	no	—
228	C₂×D₄×C₁₁	—	2	4	no	—
229	C₂×D₄×C₁₁	—	4	1	no	—
230	C₂×D₄×C₁₁	—	4	1	no	—
231	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
232	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
233	C₂²×C₄×C₁₁	—	2	4	no	—
234	C₂²×C₄×C₁₁	—	2	4	no	—
235	C₂²×C₄×C₁₁	—	2	4	no	—
236	C₂²×C₄×C₁₁	—	2	4	no	—
237	C₂²×C₄×C₁₁	—	2	4	no	—
238	C₂²×C₄×C₁₁	—	2	4	no	—
239	C₂²×C₄×C₁₁	—	2	4	no	—
240	C₂²×C₄×C₁₁	—	2	2	no	—
241	C₂²×C₄×C₁₁	—	2	2	no	—
242	C₂²×C₄×C₁₁	—	4	2	no	—
243	C₂²×C₄×C₁₁	—	4	1	no	—
244	C₂²×C₄×C₁₁	—	4	2	no	—
245	C₂²×C₄×C₁₁	—	4	2	no	—
246	C₂²×C₄×C₁₁	—	4	2	no	—
247	C₂²×C₄×C₁₁	—	4	2	no	—
248	C₂²×C₄×C₁₁	—	4	2	no	—
249	C₂²×C₄×C₁₁	—	4	1	no	—
250	C₂²×C₄×C₁₁	—	4	2	no	—
251	C₂²×C₄×C₁₁	—	4	1	no	—
252	C₂²×C₄×C₁₁	—	4	2	no	—
253	C₂²×C₄×C₁₁	—	4	2	no	—
254	C₂²×C₄×C₁₁	—	4	2	no	—
255	C₂²×C₄×C₁₁	—	4	1	no	—
256	C₂²×C₄×C₁₁	—	4	2	no	—
257	C₂²×C₄×C₁₁	—	4	2	no	—
258	C₂²×C₄×C₁₁	—	4	2	no	—
259	C₂²×C₄×C₁₁	—	4	16	no	—
260	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
261	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
262	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	complemented
263	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
264	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
265	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
266	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
267	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
268	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
269	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
270	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
271	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
272	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
273	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
274	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
275	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
276	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
277	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
279	C₁₁×C₄⋊C₄	—	2	4	no	—
280	C₁₁×C₄⋊C₄	—	2	4	no	—
281	C₁₁×C₄⋊C₄	—	4	2	no	—
282	C₁₁×C₄⋊C₄	—	4	2	no	—
283	C₁₁×C₄⋊C₄	—	4	2	no	—
284	C₁₁×C₄⋊C₄	—	4	2	no	—
285	C₁₁×C₄⋊C₄	—	4	2	no	—
286	C₁₁×C₄⋊C₄	—	4	2	no	—
287	C₁₁×C₄⋊C₄	—	4	2	no	—
288	C₁₁×C₄⋊C₄	—	4	2	no	—
289	C₁₁×C₄⋊C₄	—	4	2	no	—
290	C₁₁×C₄⋊C₄	—	4	2	no	—
291	C₁₁×C₄⋊C₄	—	4	1	no	—
292	C₁₁×C₄⋊C₄	—	4	2	no	—
293	C₁₁×C₄⋊C₄	—	4	2	no	—
294	C₁₁×C₄⋊C₄	—	4	1	no	—
295	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
296	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
297	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
298	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
299	C₁₁×C₂²⋊C₄	—	2	4	no	—
300	C₁₁×C₂²⋊C₄	—	2	4	no	—
301	C₁₁×C₂²⋊C₄	—	2	4	no	—
302	C₁₁×C₂²⋊C₄	—	2	4	no	—
303	C₁₁×C₂²⋊C₄	—	4	2	no	—
304	C₁₁×C₂²⋊C₄	—	4	2	no	—
305	C₁₁×C₂²⋊C₄	—	4	1	no	—
306	C₁₁×C₂²⋊C₄	—	4	1	no	—
307	C₁₁×C₂²⋊C₄	—	4	1	no	—
308	C₁₁×C₂²⋊C₄	—	4	1	no	—
309	C₁₁×C₂²⋊C₄	—	4	2	no	—
310	C₁₁×C₂²⋊C₄	—	4	2	no	—
311	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
312	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
313	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
314	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
315	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
316	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
317	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
318	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
319	C₄²×C₁₁	—	2	2	no	—
320	C₄²×C₁₁	—	4	2	no	—
321	C₄²×C₁₁	—	4	1	no	—
322	C₄²×C₁₁	—	4	2	no	—
323	C₄²×C₁₁	—	4	2	no	—
324	C₄²×C₁₁	—	4	2	no	—
325	C₄²×C₁₁	—	4	2	no	—
326	C₄²×C₁₁	—	4	2	no	—
327	C₄²×C₁₁	C₂²×C₄	1	4	yes	complemented
328	C₄²×C₁₁	C₂²×C₄	1	8	yes	complemented
329	C₂×#551	C₂×C₁₁	1	1	yes	characteristic
330	#2383	C₂×C₁₁	1	2	yes	complemented
331	#2379	C₂×C₁₁	1	1	yes	characteristic, complemented
332	#2376	C₂×C₁₁	1	1	yes	characteristic, complemented
333	#2360	C₂×C₁₁	1	2	yes	complemented
334	#2359	C₂×C₁₁	1	2	yes	complemented
335	#2358	C₂×C₁₁	1	1	yes	characteristic
336	D₄×C₄⋊C₄	C₂×C₁₁	1	2	yes	complemented
337	#2343	C₂×C₁₁	1	2	yes	complemented
338	#2342	C₂×C₁₁	1	2	yes	complemented
339	#2334	C₂×C₁₁	1	2	yes	complemented
340	#2329	C₂×C₁₁	1	2	yes	complemented
341	#2326	C₂×C₁₁	1	1	yes	characteristic, complemented
342	#2322	C₂×C₁₁	1	2	yes	complemented
343	#2322	C₂×C₁₁	1	1	yes	characteristic, complemented
344	#2318	C₂×C₁₁	1	2	yes	complemented
345	#2317	C₂×C₁₁	1	2	yes	complemented
346	C₄×#120	C₂×C₁₁	1	1	yes	characteristic
347	C₂×#385	C₂×C₁₁	1	2	yes	complemented
348	C₂³×C₁₁	—	2	2	no	—
349	C₂³×C₁₁	—	2	2	no	—
350	C₂³×C₁₁	—	2	2	no	—
351	C₂³×C₁₁	—	2	2	no	—
352	C₂³×C₁₁	—	2	16	no	—
353	C₂³×C₁₁	—	2	2	no	—
354	C₂³×C₁₁	—	2	2	no	—
355	C₂³×C₁₁	—	2	1	no	—
356	C₂³×C₁₁	—	2	1	no	—
357	C₂³×C₁₁	—	2	2	no	—
358	C₂³×C₁₁	—	2	2	no	—
359	C₂³×C₁₁	—	2	1	no	—
360	C₂³×C₁₁	—	2	1	no	—
361	C₂³×C₁₁	—	4	4	no	—
362	C₂³×C₁₁	—	4	4	no	—
363	C₂³×C₁₁	—	4	8	no	—
364	C₂³×C₁₁	—	4	4	no	—
365	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
366	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
367	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
368	C₂³×C₁₁	H(5,𝔽₂)	1	4	yes	—
369	C₂³×C₁₁	2₋¹⁺⁴	1	4	yes	—
370	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
371	Q₈×C₁₁	—	4	4	no	—
372	D₄×C₁₁	—	2	16	no	—
373	D₄×C₁₁	—	4	4	no	—
374	C₂×C₄×C₁₁	—	2	16	no	—
375	C₂×C₄×C₁₁	—	2	1	no	—
376	C₂×C₄×C₁₁	—	2	2	no	—
377	C₂×C₄×C₁₁	—	2	2	no	—
378	C₂×C₄×C₁₁	—	2	2	no	—
379	C₂×C₄×C₁₁	—	2	2	no	—
380	C₂×C₄×C₁₁	—	2	2	no	—
381	C₂×C₄×C₁₁	—	2	2	no	—
382	C₂×C₄×C₁₁	—	2	2	no	—
383	C₂×C₄×C₁₁	—	2	2	no	—
384	C₂×C₄×C₁₁	—	2	2	no	—
385	C₂×C₄×C₁₁	—	2	2	no	—
386	C₂×C₄×C₁₁	—	2	1	no	—
387	C₂×C₄×C₁₁	—	2	2	no	—
388	C₂×C₄×C₁₁	—	2	1	no	—
389	C₂×C₄×C₁₁	—	2	2	no	—
390	C₂×C₄×C₁₁	—	2	2	no	—
391	C₂×C₄×C₁₁	—	2	2	no	—
392	C₂×C₄×C₁₁	—	2	2	no	—
393	C₂×C₄×C₁₁	—	2	2	no	—
394	C₂×C₄×C₁₁	—	2	2	no	—
395	C₂×C₄×C₁₁	—	2	2	no	—
396	C₂×C₄×C₁₁	—	2	2	no	—
397	C₂×C₄×C₁₁	—	2	2	no	—
398	C₂×C₄×C₁₁	—	2	1	no	—
399	C₂×C₄×C₁₁	—	2	2	no	—
400	C₂×C₄×C₁₁	—	2	1	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	2	no	—
411	C₂×C₄×C₁₁	—	2	2	no	—
412	C₂×C₄×C₁₁	—	4	8	no	—
413	C₂×C₄×C₁₁	—	4	4	no	—
414	C₂×C₄×C₁₁	—	4	8	no	—
415	C₂×C₄×C₁₁	—	4	4	no	—
416	C₂×C₄×C₁₁	—	4	8	no	—
417	C₂×C₄×C₁₁	—	4	4	no	—
418	C₂×C₄×C₁₁	—	8	2	no	—
419	C₂×C₄×C₁₁	—	8	4	no	—
420	C₂×C₄×C₁₁	—	8	4	no	—
421	C₂×C₄×C₁₁	—	8	2	no	—
422	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
423	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
424	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
425	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
426	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
427	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
428	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
429	C₂⁴×C₄	C₂²×C₁₁	1	1	yes	characteristic
430	#551	C₄×C₁₁	1	16	yes	complemented
431	C₂×#126	C₂²×C₁₁	1	2	yes	—
432	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
433	C₂×#123	C₂²×C₁₁	1	2	yes	—
434	C₂×#123	C₂²×C₁₁	1	1	yes	characteristic
435	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
436	C₂×#120	C₂²×C₁₁	1	1	yes	characteristic
437	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
438	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
439	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
440	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
441	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
442	C₂×#117	C₂²×C₁₁	1	2	yes	—
443	C₂×#117	C₂²×C₁₁	1	2	yes	—
444	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
445	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
446	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
447	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
448	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
449	#391	C₂²×C₁₁	1	1	yes	characteristic, complemented
450	#391	C₂²×C₁₁	1	2	yes	complemented
451	#390	C₂²×C₁₁	1	1	yes	characteristic
452	#389	C₂²×C₁₁	1	2	yes	complemented
453	#389	C₂²×C₁₁	1	2	yes	complemented
454	#389	C₂²×C₁₁	1	2	yes	complemented
455	#389	C₂²×C₁₁	1	2	yes	complemented
456	#389	C₂²×C₁₁	1	2	yes	complemented
457	#389	C₂²×C₁₁	1	2	yes	complemented
458	#389	C₂²×C₁₁	1	2	yes	complemented
459	#388	C₂²×C₁₁	1	2	yes	—
460	#388	C₂²×C₁₁	1	2	yes	—
461	#388	C₂²×C₁₁	1	2	yes	—
462	#388	C₂²×C₁₁	1	2	yes	—
463	#388	C₂²×C₁₁	1	2	yes	—
464	#388	C₂²×C₁₁	1	2	yes	complemented
465	#388	C₂²×C₁₁	1	2	yes	complemented
466	#388	C₂²×C₁₁	1	2	yes	complemented
467	#387	C₂²×C₁₁	1	2	yes	complemented
468	#387	C₂²×C₁₁	1	2	yes	complemented
469	#387	C₂²×C₁₁	1	2	yes	complemented
470	#387	C₂²×C₁₁	1	2	yes	complemented
471	#387	C₂²×C₁₁	1	2	yes	complemented
472	#387	C₂²×C₁₁	1	2	yes	complemented
473	#387	C₂²×C₁₁	1	2	yes	complemented
474	#387	C₂²×C₁₁	1	2	yes	complemented
475	#386	C₂²×C₁₁	1	2	yes	—
476	#386	C₂²×C₁₁	1	2	yes	—
477	#386	C₂²×C₁₁	1	1	yes	characteristic
478	#386	C₂²×C₁₁	1	1	yes	characteristic
479	#385	C₂²×C₁₁	1	2	yes	—
480	#385	C₂²×C₁₁	1	2	yes	—
481	#385	C₂²×C₁₁	1	2	yes	—
482	#385	C₂²×C₁₁	1	2	yes	—
483	#385	C₂²×C₁₁	1	2	yes	—
484	#385	C₂²×C₁₁	1	2	yes	—
485	#385	C₂²×C₁₁	1	2	yes	—
486	#385	C₂²×C₁₁	1	2	yes	—
487	#385	C₂²×C₁₁	1	2	yes	—
488	#385	C₂²×C₁₁	1	2	yes	—
489	#385	C₂²×C₁₁	1	2	yes	—
490	#385	C₂²×C₁₁	1	2	yes	—
491	#385	C₂²×C₁₁	1	1	yes	characteristic
492	#385	C₂²×C₁₁	1	1	yes	characteristic, complemented
493	#385	C₂²×C₁₁	1	2	yes	complemented
494	#385	C₂²×C₁₁	1	2	yes	complemented
495	#384	C₂²×C₁₁	1	1	yes	characteristic, complemented
496	#384	C₂²×C₁₁	1	2	yes	complemented
497	#383	C₂²×C₁₁	1	2	yes	complemented
498	#382	C₂²×C₁₁	1	2	yes	complemented
499	#382	C₂²×C₁₁	1	2	yes	complemented
500	#381	C₂²×C₁₁	1	2	yes	—
501	#381	C₂²×C₁₁	1	1	yes	characteristic, complemented
502	#380	C₂²×C₁₁	1	2	yes	—
503	#380	C₂²×C₁₁	1	2	yes	complemented
504	#379	C₂²×C₁₁	1	1	yes	characteristic
505	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
506	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
507	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
508	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
509	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
510	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
511	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
512	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
513	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
514	#376	C₂²×C₁₁	1	1	yes	characteristic, complemented
515	C₂×#95	C₂²×C₁₁	1	2	yes	—
516	C₂×#95	C₂²×C₁₁	1	2	yes	—
517	C₂²×C₁₁	—	2	4	no	—
518	C₂²×C₁₁	—	2	4	no	—
519	C₂²×C₁₁	—	2	4	no	—
520	C₂²×C₁₁	—	2	4	no	—
521	C₂²×C₁₁	—	2	4	no	—
522	C₂²×C₁₁	—	2	4	no	—
523	C₂²×C₁₁	—	2	4	no	—
524	C₂²×C₁₁	—	2	4	no	—
525	C₂²×C₁₁	—	2	2	no	—
526	C₂²×C₁₁	—	2	2	no	—
527	C₂²×C₁₁	—	4	16	no	—
528	C₂²×C₁₁	—	4	1	no	—
529	C₂²×C₁₁	—	4	1	no	—
530	C₂²×C₁₁	—	4	2	no	—
531	C₂²×C₁₁	—	4	2	no	—
532	C₂²×C₁₁	—	4	1	no	—
533	C₂²×C₁₁	—	4	1	no	—
534	C₂²×C₁₁	#520	1	8	yes	—
535	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
536	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
537	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
538	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	2	yes	—
539	C₂²×C₁₁	#585	1	1	yes	characteristic
540	C₄×C₁₁	—	2	4	no	—
541	C₄×C₁₁	—	2	4	no	—
542	C₄×C₁₁	—	2	4	no	—
543	C₄×C₁₁	—	2	4	no	—
544	C₄×C₁₁	—	2	4	no	—
545	C₄×C₁₁	—	2	2	no	—
546	C₄×C₁₁	—	2	2	no	—
547	C₄×C₁₁	—	4	2	no	—
548	C₄×C₁₁	—	4	1	no	—
549	C₄×C₁₁	—	4	2	no	—
550	C₄×C₁₁	—	4	1	no	—
551	C₄×C₁₁	—	4	2	no	—
552	C₄×C₁₁	—	4	2	no	—
553	C₄×C₁₁	—	4	2	no	—
554	C₄×C₁₁	—	4	2	no	—
555	C₄×C₁₁	—	4	1	no	—
556	C₂⁵	C₂³×C₁₁	1	1	yes	characteristic
557	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
558	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
559	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
560	C₂³×C₄	—	4	2	no	—
561	C₂³×C₄	—	4	4	no	—
562	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
563	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
564	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
565	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
566	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
567	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
568	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
569	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
570	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
571	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
572	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
573	#126	C₂×C₄×C₁₁	1	16	yes	complemented
574	#124	C₂×C₄×C₁₁	1	8	yes	complemented
575	#123	C₂×C₄×C₁₁	1	8	yes	complemented
576	#123	C₂×C₄×C₁₁	1	16	yes	complemented
577	C₂²⋊Q₈	C₂×C₄×C₁₁	1	16	yes	complemented
578	#120	C₂×C₄×C₁₁	1	8	yes	—
579	C₄×Q₈	—	4	2	no	—
580	C₄×D₄	—	4	2	no	—
581	C₄×D₄	—	4	4	no	—
582	C₄×D₄	—	4	4	no	—
583	C₄×D₄	C₂×C₄×C₁₁	1	16	yes	complemented
584	#117	—	4	4	no	—
585	#117	C₂×C₄×C₁₁	1	16	yes	complemented
586	C₂×C₄⋊C₄	—	4	4	no	—
587	C₂×C₄⋊C₄	—	4	2	no	—
588	C₂×C₄⋊C₄	—	4	4	no	—
589	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
590	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
591	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
592	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
593	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
594	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
595	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
596	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
597	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
598	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
599	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
600	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
601	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
602	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
603	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
605	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
606	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
607	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
608	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
609	C₂×C₂²⋊C₄	—	4	4	no	—
610	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	16	yes	complemented
611	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
612	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
613	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
614	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
615	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
616	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
617	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
618	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
619	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
620	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
621	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
622	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
623	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
624	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
625	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
626	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
627	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
628	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
629	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
630	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
631	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
632	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
633	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
634	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
635	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
636	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
637	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
638	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
639	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
640	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
641	#95	C₂³×C₁₁	1	2	yes	—
642	#95	C₂³×C₁₁	1	2	yes	—
643	#95	C₂³×C₁₁	1	2	yes	—
644	#95	C₂³×C₁₁	1	2	yes	—
645	#95	C₂³×C₁₁	1	2	yes	—
646	#95	C₂³×C₁₁	1	2	yes	—
647	#95	C₂³×C₁₁	1	2	yes	—
648	#95	C₂³×C₁₁	1	2	yes	—
649	#95	C₂³×C₁₁	1	2	yes	—
650	#95	C₂³×C₁₁	1	2	yes	—
651	#95	C₂³×C₁₁	1	2	yes	—
652	#95	C₂³×C₁₁	1	2	yes	—
653	#95	C₂³×C₁₁	1	2	yes	—
654	#95	C₂³×C₁₁	1	2	yes	—
655	#95	C₂³×C₁₁	1	2	yes	—
656	#95	C₂³×C₁₁	1	2	yes	—
657	#95	C₂³×C₁₁	1	2	yes	—
658	#95	C₂³×C₁₁	1	2	yes	—
659	#95	C₂³×C₁₁	1	2	yes	—
660	#95	C₂³×C₁₁	1	2	yes	—
661	#95	C₂³×C₁₁	1	2	yes	—
662	#95	C₂³×C₁₁	1	2	yes	—
663	C₂×C₁₁	—	2	8	no	—
664	C₂×C₁₁	—	4	2	no	—
665	C₂×C₁₁	—	4	2	no	—
666	C₂×C₁₁	C₂×#520	1	2	yes	—
667	C₂×C₁₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
668	C₂×C₁₁	#3532	1	1	yes	characteristic
669	C₂×C₁₁	#3535	1	2	yes	—
670	C₂×C₁₁	#3538	1	1	yes	characteristic
671	C₂⁴	—	2	4	no	—
672	C₂⁴	—	2	4	no	—
673	C₂⁴	—	4	1	no	—
674	C₂⁴	—	4	1	no	—
675	C₂⁴	C₂²×C₄×C₁₁	1	4	yes	—
676	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
677	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
678	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
679	C₂×Q₈	—	4	1	no	—
680	C₂×Q₈	—	4	1	no	—
681	C₂×Q₈	C₂²×C₄×C₁₁	1	4	yes	complemented
682	C₂×D₄	—	2	4	no	—
683	C₂×D₄	—	2	4	no	—
684	C₂×D₄	—	4	1	no	—
685	C₂×D₄	—	4	1	no	—
686	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
687	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
688	C₂²×C₄	—	2	4	no	—
689	C₂²×C₄	—	2	4	no	—
690	C₂²×C₄	—	2	4	no	—
691	C₂²×C₄	—	2	4	no	—
692	C₂²×C₄	—	2	4	no	—
693	C₂²×C₄	—	2	4	no	—
694	C₂²×C₄	—	2	4	no	—
695	C₂²×C₄	—	2	2	no	—
696	C₂²×C₄	—	2	2	no	—
697	C₂²×C₄	—	4	2	no	—
698	C₂²×C₄	—	4	1	no	—
699	C₂²×C₄	—	4	2	no	—
700	C₂²×C₄	—	4	2	no	—
701	C₂²×C₄	—	4	2	no	—
702	C₂²×C₄	—	4	2	no	—
703	C₂²×C₄	—	4	2	no	—
704	C₂²×C₄	—	4	1	no	—
705	C₂²×C₄	—	4	2	no	—
706	C₂²×C₄	—	4	1	no	—
707	C₂²×C₄	—	4	2	no	—
708	C₂²×C₄	—	4	2	no	—
709	C₂²×C₄	—	4	2	no	—
710	C₂²×C₄	—	4	1	no	—
711	C₂²×C₄	—	4	2	no	—
712	C₂²×C₄	—	4	2	no	—
713	C₂²×C₄	—	4	2	no	—
714	C₂²×C₄	—	4	16	no	—
715	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
716	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
717	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	complemented
718	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
719	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
720	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
721	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
722	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
723	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
724	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
725	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
726	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
727	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
728	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
729	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
730	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
731	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
732	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
733	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
734	C₄⋊C₄	—	2	4	no	—
735	C₄⋊C₄	—	2	4	no	—
736	C₄⋊C₄	—	4	2	no	—
737	C₄⋊C₄	—	4	2	no	—
738	C₄⋊C₄	—	4	2	no	—
739	C₄⋊C₄	—	4	2	no	—
740	C₄⋊C₄	—	4	2	no	—
741	C₄⋊C₄	—	4	2	no	—
742	C₄⋊C₄	—	4	2	no	—
743	C₄⋊C₄	—	4	2	no	—
744	C₄⋊C₄	—	4	2	no	—
745	C₄⋊C₄	—	4	1	no	—
746	C₄⋊C₄	—	4	2	no	—
747	C₄⋊C₄	—	4	2	no	—
748	C₄⋊C₄	—	4	1	no	—
749	C₄⋊C₄	—	4	2	no	—
750	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	complemented
751	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	complemented
752	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	complemented
753	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	complemented
754	C₂²⋊C₄	—	2	4	no	—
755	C₂²⋊C₄	—	2	4	no	—
756	C₂²⋊C₄	—	2	4	no	—
757	C₂²⋊C₄	—	2	4	no	—
758	C₂²⋊C₄	—	4	2	no	—
759	C₂²⋊C₄	—	4	2	no	—
760	C₂²⋊C₄	—	4	1	no	—
761	C₂²⋊C₄	—	4	1	no	—
762	C₂²⋊C₄	—	4	2	no	—
763	C₂²⋊C₄	—	4	2	no	—
764	C₂²⋊C₄	—	4	1	no	—
765	C₂²⋊C₄	—	4	1	no	—
766	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
767	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
768	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
769	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
770	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
771	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
772	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	complemented
773	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	complemented
774	C₄²	—	2	2	no	—
775	C₄²	—	4	2	no	—
776	C₄²	—	4	2	no	—
777	C₄²	—	4	2	no	—
778	C₄²	—	4	2	no	—
779	C₄²	—	4	2	no	—
780	C₄²	—	4	2	no	—
781	C₄²	—	4	1	no	—
782	C₄²	C₂²×C₄×C₁₁	1	4	yes	complemented
783	C₄²	C₂²×C₄×C₁₁	1	8	yes	complemented
784	C₁₁	#34457	1	1	yes	characteristic, direct product factor, Sylow
785	C₂³	—	2	2	no	—
786	C₂³	—	2	2	no	—
787	C₂³	—	2	2	no	—
788	C₂³	—	2	2	no	—
789	C₂³	—	2	16	no	—
790	C₂³	—	2	2	no	—
791	C₂³	—	2	2	no	—
792	C₂³	—	2	1	no	—
793	C₂³	—	2	1	no	—
794	C₂³	—	2	2	no	—
795	C₂³	—	2	2	no	—
796	C₂³	—	2	1	no	—
797	C₂³	—	2	1	no	—
798	C₂³	—	4	4	no	—
799	C₂³	—	4	4	no	—
800	C₂³	—	4	8	no	—
801	C₂³	—	4	4	no	—
802	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
803	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
804	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
805	C₂³	C₁₁×H(5,𝔽₂)	1	4	yes	—
806	C₂³	C₁₁×2₋¹⁺⁴	1	4	yes	—
807	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
808	Q₈	—	4	4	no	—
809	D₄	—	2	16	no	—
810	D₄	—	4	4	no	—
811	C₂×C₄	—	2	16	no	—
812	C₂×C₄	—	2	1	no	—
813	C₂×C₄	—	2	2	no	—
814	C₂×C₄	—	2	2	no	—
815	C₂×C₄	—	2	2	no	—
816	C₂×C₄	—	2	2	no	—
817	C₂×C₄	—	2	2	no	—
818	C₂×C₄	—	2	2	no	—
819	C₂×C₄	—	2	2	no	—
820	C₂×C₄	—	2	2	no	—
821	C₂×C₄	—	2	2	no	—
822	C₂×C₄	—	2	2	no	—
823	C₂×C₄	—	2	1	no	—
824	C₂×C₄	—	2	2	no	—
825	C₂×C₄	—	2	1	no	—
826	C₂×C₄	—	2	2	no	—
827	C₂×C₄	—	2	2	no	—
828	C₂×C₄	—	2	2	no	—
829	C₂×C₄	—	2	2	no	—
830	C₂×C₄	—	2	2	no	—
831	C₂×C₄	—	2	2	no	—
832	C₂×C₄	—	2	2	no	—
833	C₂×C₄	—	2	2	no	—
834	C₂×C₄	—	2	2	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	2	no	—
839	C₂×C₄	—	2	2	no	—
840	C₂×C₄	—	2	2	no	—
841	C₂×C₄	—	2	2	no	—
842	C₂×C₄	—	2	2	no	—
843	C₂×C₄	—	2	2	no	—
844	C₂×C₄	—	2	2	no	—
845	C₂×C₄	—	2	2	no	—
846	C₂×C₄	—	2	2	no	—
847	C₂×C₄	—	2	2	no	—
848	C₂×C₄	—	2	2	no	—
849	C₂×C₄	—	4	8	no	—
850	C₂×C₄	—	4	4	no	—
851	C₂×C₄	—	4	8	no	—
852	C₂×C₄	—	4	4	no	—
853	C₂×C₄	—	4	8	no	—
854	C₂×C₄	—	4	4	no	—
855	C₂×C₄	—	8	2	no	—
856	C₂×C₄	—	8	4	no	—
857	C₂×C₄	—	8	4	no	—
858	C₂×C₄	—	8	2	no	—
859	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
860	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
861	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
862	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
863	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
864	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
865	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
866	C₂²	—	2	4	no	—
867	C₂²	—	2	4	no	—
868	C₂²	—	2	4	no	—
869	C₂²	—	2	4	no	—
870	C₂²	—	2	4	no	—
871	C₂²	—	2	4	no	—
872	C₂²	—	2	4	no	—
873	C₂²	—	2	4	no	—
874	C₂²	—	2	2	no	—
875	C₂²	—	2	2	no	—
876	C₂²	—	4	16	no	—
877	C₂²	—	4	1	no	—
878	C₂²	—	4	1	no	—
879	C₂²	—	4	2	no	—
880	C₂²	—	4	2	no	—
881	C₂²	—	4	1	no	—
882	C₂²	—	4	1	no	—
883	C₂²	C₁₁×#520	1	8	yes	—
884	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
885	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
886	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
887	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	2	yes	—
888	C₂²	C₁₁×#585	1	1	yes	characteristic
889	C₄	—	2	4	no	—
890	C₄	—	2	4	no	—
891	C₄	—	2	4	no	—
892	C₄	—	2	4	no	—
893	C₄	—	2	4	no	—
894	C₄	—	2	2	no	—
895	C₄	—	2	2	no	—
896	C₄	—	4	2	no	—
897	C₄	—	4	1	no	—
898	C₄	—	4	2	no	—
899	C₄	—	4	2	no	—
900	C₄	—	4	1	no	—
901	C₄	—	4	2	no	—
902	C₄	—	4	2	no	—
903	C₄	—	4	2	no	—
904	C₄	—	4	1	no	—
905	C₂	—	2	8	no	—
906	C₂	—	4	2	no	—
907	C₂	—	4	2	no	—
908	C₂	C₂×C₁₁×#520	1	2	yes	—
909	C₂	C₄×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
910	C₂	C₁₁×#3532	1	1	yes	characteristic
911	C₂	C₁₁×#3535	1	2	yes	—
912	C₂	C₁₁×#3538	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂×C₁₁×#120	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#2383	C₂	semidirect
3. C₁₁×#2379	C₂	semidirect
4. C₁₁×#2376	C₂	semidirect
5. C₁₁×#2360	C₂	semidirect
6. C₁₁×#2359	C₂	semidirect
8. D₄×C₁₁×C₄⋊C₄	C₂	semidirect
9. C₁₁×#2343	C₂	semidirect
10. C₁₁×#2342	C₂	semidirect
11. C₁₁×#2334	C₂	semidirect
12. C₁₁×#2329	C₂	semidirect
13. C₁₁×#2326	C₂	semidirect
14. C₁₁×#2322	C₂	semidirect
15. C₁₁×#2322	C₂	semidirect
16. C₁₁×#2318	C₂	semidirect
17. C₁₁×#2317	C₂	semidirect
19. C₂×C₁₁×#385	C₂	semidirect
21. C₁₁×#551	C₄	semidirect
28. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
37. C₂²×C₁₁×C₄⋊C₄	C₂²	semidirect
40. C₁₁×#391	C₂²	semidirect
41. C₁₁×#391	C₂²	semidirect
43. C₁₁×#389	C₂²	semidirect
44. C₁₁×#389	C₂²	semidirect
45. C₁₁×#389	C₂²	semidirect
46. C₁₁×#389	C₂²	semidirect
47. C₁₁×#389	C₂²	semidirect
48. C₁₁×#389	C₂²	semidirect
49. C₁₁×#389	C₂²	semidirect
55. C₁₁×#388	C₂²	semidirect
56. C₁₁×#388	C₂²	semidirect
57. C₁₁×#388	C₂²	semidirect
58. C₁₁×#387	C₂²	semidirect
59. C₁₁×#387	C₂²	semidirect
60. C₁₁×#387	C₂²	semidirect
61. C₁₁×#387	C₂²	semidirect
62. C₁₁×#387	C₂²	semidirect
63. C₁₁×#387	C₂²	semidirect
64. C₁₁×#387	C₂²	semidirect
65. C₁₁×#387	C₂²	semidirect
83. C₁₁×#385	C₂²	semidirect
84. C₁₁×#385	C₂²	semidirect
85. C₁₁×#385	C₂²	semidirect
86. C₁₁×#384	C₂²	semidirect
87. C₁₁×#384	C₂²	semidirect
88. C₁₁×#383	C₂²	semidirect
89. C₁₁×#382	C₂²	semidirect
90. C₁₁×#382	C₂²	semidirect
92. C₁₁×#381	C₂²	semidirect
94. C₁₁×#380	C₂²	semidirect
96. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
97. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
104. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
105. C₁₁×#376	C₂²	semidirect
125. C₁₁×#126	C₂×C₄	semidirect
126. C₁₁×#124	C₂×C₄	semidirect
127. C₁₁×#123	C₂×C₄	semidirect
128. C₁₁×#123	C₂×C₄	semidirect
129. C₁₁×C₂²⋊Q₈	C₂×C₄	semidirect
135. C₄×D₄×C₁₁	C₂×C₄	semidirect
137. C₁₁×#117	C₂×C₄	semidirect
162. C₂×C₁₁×C₂²⋊C₄	C₂×C₄	semidirect
215. #34457	C₁₁	direct (N × H)
226. C₂×Q₈×C₁₁	C₂²×C₄	semidirect
262. C₂²×C₄×C₁₁	C₂²×C₄	semidirect
295. C₁₁×C₄⋊C₄	C₂²×C₄	semidirect
296. C₁₁×C₄⋊C₄	C₂²×C₄	semidirect
297. C₁₁×C₄⋊C₄	C₂²×C₄	semidirect
298. C₁₁×C₄⋊C₄	C₂²×C₄	semidirect
317. C₁₁×C₂²⋊C₄	C₂²×C₄	semidirect
318. C₁₁×C₂²⋊C₄	C₂²×C₄	semidirect
327. C₄²×C₁₁	C₂²×C₄	semidirect
328. C₄²×C₁₁	C₂²×C₄	semidirect
330. #2383	C₂×C₁₁	semidirect
331. #2379	C₂×C₁₁	semidirect
332. #2376	C₂×C₁₁	semidirect
333. #2360	C₂×C₁₁	semidirect
334. #2359	C₂×C₁₁	semidirect
336. D₄×C₄⋊C₄	C₂×C₁₁	semidirect
337. #2343	C₂×C₁₁	semidirect
338. #2342	C₂×C₁₁	semidirect
339. #2334	C₂×C₁₁	semidirect
340. #2329	C₂×C₁₁	semidirect
341. #2326	C₂×C₁₁	semidirect
342. #2322	C₂×C₁₁	semidirect
343. #2322	C₂×C₁₁	semidirect
344. #2318	C₂×C₁₁	semidirect
345. #2317	C₂×C₁₁	semidirect
347. C₂×#385	C₂×C₁₁	semidirect
430. #551	C₄×C₁₁	semidirect
437. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
446. C₂²×C₄⋊C₄	C₂²×C₁₁	semidirect
449. #391	C₂²×C₁₁	semidirect
450. #391	C₂²×C₁₁	semidirect
452. #389	C₂²×C₁₁	semidirect
453. #389	C₂²×C₁₁	semidirect
454. #389	C₂²×C₁₁	semidirect
455. #389	C₂²×C₁₁	semidirect
456. #389	C₂²×C₁₁	semidirect
457. #389	C₂²×C₁₁	semidirect
458. #389	C₂²×C₁₁	semidirect
464. #388	C₂²×C₁₁	semidirect
465. #388	C₂²×C₁₁	semidirect
466. #388	C₂²×C₁₁	semidirect
467. #387	C₂²×C₁₁	semidirect
468. #387	C₂²×C₁₁	semidirect
469. #387	C₂²×C₁₁	semidirect
470. #387	C₂²×C₁₁	semidirect
471. #387	C₂²×C₁₁	semidirect
472. #387	C₂²×C₁₁	semidirect
473. #387	C₂²×C₁₁	semidirect
474. #387	C₂²×C₁₁	semidirect
492. #385	C₂²×C₁₁	semidirect
493. #385	C₂²×C₁₁	semidirect
494. #385	C₂²×C₁₁	semidirect
495. #384	C₂²×C₁₁	semidirect
496. #384	C₂²×C₁₁	semidirect
497. #383	C₂²×C₁₁	semidirect
498. #382	C₂²×C₁₁	semidirect
499. #382	C₂²×C₁₁	semidirect
501. #381	C₂²×C₁₁	semidirect
503. #380	C₂²×C₁₁	semidirect
505. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
506. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
513. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
514. #376	C₂²×C₁₁	semidirect
573. #126	C₂×C₄×C₁₁	semidirect
574. #124	C₂×C₄×C₁₁	semidirect
575. #123	C₂×C₄×C₁₁	semidirect
576. #123	C₂×C₄×C₁₁	semidirect
577. C₂²⋊Q₈	C₂×C₄×C₁₁	semidirect
583. C₄×D₄	C₂×C₄×C₁₁	semidirect
585. #117	C₂×C₄×C₁₁	semidirect
610. C₂×C₂²⋊C₄	C₂×C₄×C₁₁	semidirect
681. C₂×Q₈	C₂²×C₄×C₁₁	semidirect
717. C₂²×C₄	C₂²×C₄×C₁₁	semidirect
750. C₄⋊C₄	C₂²×C₄×C₁₁	semidirect
751. C₄⋊C₄	C₂²×C₄×C₁₁	semidirect
752. C₄⋊C₄	C₂²×C₄×C₁₁	semidirect
753. C₄⋊C₄	C₂²×C₄×C₁₁	semidirect
772. C₂²⋊C₄	C₂²×C₄×C₁₁	semidirect
773. C₂²⋊C₄	C₂²×C₄×C₁₁	semidirect
782. C₄²	C₂²×C₄×C₁₁	semidirect
783. C₄²	C₂²×C₄×C₁₁	semidirect
784. C₁₁	#34457	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#551	2
C₁₁×#2383	2
C₁₁×#2379	2
C₁₁×#2376	2
C₁₁×#2360	2
C₁₁×#2359	2
C₁₁×#2358	2
D₄×C₁₁×C₄⋊C₄	2
C₁₁×#2343	2
C₁₁×#2342	2
C₁₁×#2334	2
C₁₁×#2329	2
C₁₁×#2326	2
C₁₁×#2322	2
C₁₁×#2318	2
C₁₁×#2317	2
C₄×C₁₁×#120	2
C₂×C₁₁×#385	2
#34457	11

Subgroups — C11×#34457 #14611650

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#34457 #14611650