Subgroups — C₁₁×#34464 #14611657

Order 2816.

2168 conjugacy classes of subgroups.

The subgroup lattice has 988 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#554	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2382	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2378	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2365	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#2362	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#2360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#2360	C₂	1	2	yes	maximal, complemented
8	C₁₁×#2352	C₂	1	1	yes	maximal, characteristic
9	C₁₁×#2352	C₂	1	2	yes	maximal
10	C₁₁×#2351	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2345	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2344	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2336	C₂	1	2	yes	maximal, complemented
14	C₁₁×#2331	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2329	C₂	1	2	yes	maximal, complemented
16	C₁₁×#2323	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2323	C₂	1	2	yes	maximal, complemented
18	C₁₁×#2320	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#2318	C₂	1	2	yes	maximal
20	C₁₁×#2316	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₁×#389	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2290	C₂	1	1	yes	maximal, characteristic
24	C₁₁×#554	C₄	1	16	yes	complemented
25	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×#125	C₂²	1	2	yes	—
27	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
29	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
30	C₂×C₁₁×C₂²⋊Q₈	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	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
34	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
37	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
38	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
39	C₂×C₁₁×#117	C₂²	1	2	yes	—
40	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
41	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
43	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
45	C₁₁×#391	C₂²	1	2	yes	—
46	C₁₁×#391	C₂²	1	2	yes	—
47	C₁₁×#391	C₂²	1	1	yes	characteristic
48	C₁₁×#391	C₂²	1	1	yes	characteristic
49	C₁₁×#391	C₂²	1	2	yes	—
50	C₁₁×#389	C₂²	1	2	yes	—
51	C₁₁×#389	C₂²	1	2	yes	—
52	C₁₁×#389	C₂²	1	2	yes	—
53	C₁₁×#389	C₂²	1	2	yes	—
54	C₁₁×#389	C₂²	1	2	yes	—
55	C₁₁×#389	C₂²	1	1	yes	characteristic
56	C₁₁×#389	C₂²	1	1	yes	characteristic
57	C₁₁×#389	C₂²	1	2	yes	—
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	1	yes	characteristic
63	C₁₁×#389	C₂²	1	1	yes	characteristic
64	C₁₁×#389	C₂²	1	1	yes	characteristic
65	C₁₁×#389	C₂²	1	2	yes	—
66	C₁₁×#388	C₂²	1	1	yes	characteristic
67	C₁₁×#388	C₂²	1	2	yes	—
68	C₁₁×#388	C₂²	1	2	yes	—
69	C₁₁×#388	C₂²	1	2	yes	—
70	C₁₁×#388	C₂²	1	1	yes	characteristic
71	C₁₁×#388	C₂²	1	2	yes	—
72	C₁₁×#388	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	1	yes	characteristic
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	1	yes	characteristic
85	C₁₁×#387	C₂²	1	2	yes	—
86	C₁₁×#387	C₂²	1	2	yes	—
87	C₁₁×#387	C₂²	1	2	yes	—
88	C₁₁×#387	C₂²	1	2	yes	—
89	C₁₁×#387	C₂²	1	2	yes	—
90	C₁₁×#386	C₂²	1	1	yes	characteristic
91	C₁₁×#386	C₂²	1	1	yes	characteristic
92	C₁₁×#386	C₂²	1	2	yes	—
93	C₁₁×#385	C₂²	1	1	yes	characteristic
94	C₁₁×#385	C₂²	1	1	yes	characteristic
95	C₁₁×#385	C₂²	1	2	yes	—
96	C₁₁×#385	C₂²	1	2	yes	—
97	C₁₁×#383	C₂²	1	2	yes	—
98	C₁₁×#382	C₂²	1	2	yes	—
99	C₁₁×#382	C₂²	1	2	yes	—
100	C₁₁×#382	C₂²	1	1	yes	characteristic
101	C₁₁×#381	C₂²	1	2	yes	—
102	C₁₁×#380	C₂²	1	2	yes	—
103	C₁₁×#380	C₂²	1	1	yes	characteristic
104	C₁₁×#380	C₂²	1	2	yes	—
105	C₁₁×#380	C₂²	1	1	yes	characteristic
106	C₁₁×#380	C₂²	1	2	yes	—
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	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×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
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	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₁₁×#376	C₂²	1	1	yes	characteristic
123	C₂×C₁₁×#95	C₂²	1	2	yes	—
124	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
125	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
126	C₂²×D₄×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	2	yes	—
132	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
133	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
134	C₁₁×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
135	C₁₁×#125	C₂×C₄	1	16	yes	complemented
136	C₁₁×C₂²⋊Q₈	C₂×C₄	1	16	yes	—
137	C₁₁×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
138	C₁₁×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
139	C₁₁×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
140	C₄×Q₈×C₁₁	—	4	4	no	—
141	C₄×Q₈×C₁₁	—	4	2	no	—
142	C₄×Q₈×C₁₁	—	4	2	no	—
143	C₄×Q₈×C₁₁	C₂×C₄	1	8	yes	complemented
144	C₄×D₄×C₁₁	C₂×C₄	1	16	yes	—
145	C₄×D₄×C₁₁	C₂×C₄	1	8	yes	—
146	C₁₁×#117	—	4	2	no	—
147	C₁₁×#117	—	4	4	no	—
148	C₁₁×#117	—	4	2	no	—
149	C₂×C₁₁×C₄⋊C₄	—	4	2	no	—
150	C₂×C₁₁×C₄⋊C₄	—	4	4	no	—
151	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	8	yes	—
152	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
153	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
154	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
155	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
156	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
157	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
158	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
159	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
160	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₁×C₄⋊C₄	C₂³	1	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	1	yes	characteristic
165	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
173	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
183	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
186	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
187	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
188	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₄²×C₁₁	—	4	2	no	—
196	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
197	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
198	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
202	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
203	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
204	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
205	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
206	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
207	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
208	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
209	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
210	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₁	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	1	yes	characteristic
217	C₁₁×#95	C₂³	1	1	yes	characteristic
218	C₁₁×#95	C₂³	1	1	yes	characteristic
219	C₁₁×#95	C₂³	1	1	yes	characteristic
220	C₁₁×#95	C₂³	1	1	yes	characteristic
221	C₁₁×#95	C₂³	1	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	1	yes	characteristic
230	C₁₁×#95	C₂³	1	1	yes	characteristic
231	C₁₁×#95	C₂³	1	1	yes	characteristic
232	C₁₁×#95	C₂³	1	1	yes	characteristic
233	C₁₁×#95	C₂³	1	2	yes	—
234	C₁₁×#95	C₂³	1	2	yes	—
235	C₁₁×#95	C₂³	1	2	yes	—
236	C₁₁×#95	C₂³	1	2	yes	—
237	C₁₁×#95	C₂³	1	2	yes	—
238	C₁₁×#95	C₂³	1	1	yes	characteristic
239	C₁₁×#95	C₂³	1	2	yes	—
240	C₁₁×#95	C₂³	1	2	yes	—
241	C₁₁×#95	C₂³	1	2	yes	—
242	C₁₁×#95	C₂³	1	2	yes	—
243	#34464	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
244	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
245	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
246	C₂×Q₈×C₁₁	—	2	2	no	—
247	C₂×Q₈×C₁₁	—	2	2	no	—
248	C₂×Q₈×C₁₁	—	4	2	no	—
249	C₂×Q₈×C₁₁	—	4	2	no	—
250	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	—
251	C₂×Q₈×C₁₁	C₂²×C₄	1	8	yes	—
252	C₂×D₄×C₁₁	—	2	2	no	—
253	C₂×D₄×C₁₁	—	2	2	no	—
254	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
255	C₂²×C₄×C₁₁	—	2	2	no	—
256	C₂²×C₄×C₁₁	—	2	2	no	—
257	C₂²×C₄×C₁₁	—	2	2	no	—
258	C₂²×C₄×C₁₁	—	2	2	no	—
259	C₂²×C₄×C₁₁	—	2	2	no	—
260	C₂²×C₄×C₁₁	—	2	2	no	—
261	C₂²×C₄×C₁₁	—	2	4	no	—
262	C₂²×C₄×C₁₁	—	2	2	no	—
263	C₂²×C₄×C₁₁	—	4	1	no	—
264	C₂²×C₄×C₁₁	—	4	1	no	—
265	C₂²×C₄×C₁₁	—	4	2	no	—
266	C₂²×C₄×C₁₁	—	4	2	no	—
267	C₂²×C₄×C₁₁	—	4	2	no	—
268	C₂²×C₄×C₁₁	—	4	2	no	—
269	C₂²×C₄×C₁₁	—	4	1	no	—
270	C₂²×C₄×C₁₁	—	4	2	no	—
271	C₂²×C₄×C₁₁	—	4	2	no	—
272	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
273	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
274	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
275	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
276	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
277	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
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	2	yes	—
283	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
284	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
286	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
287	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
288	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
289	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
291	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
293	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
295	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
297	C₁₁×C₄⋊C₄	—	2	4	no	—
298	C₁₁×C₄⋊C₄	—	2	2	no	—
299	C₁₁×C₄⋊C₄	—	2	4	no	—
300	C₁₁×C₄⋊C₄	—	2	2	no	—
301	C₁₁×C₄⋊C₄	—	2	2	no	—
302	C₁₁×C₄⋊C₄	—	2	2	no	—
303	C₁₁×C₄⋊C₄	—	2	2	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	1	no	—
310	C₁₁×C₄⋊C₄	—	4	1	no	—
311	C₁₁×C₄⋊C₄	—	4	1	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	C₂²×C₄	1	4	yes	—
317	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
318	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
319	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
320	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
321	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
322	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
323	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
324	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
325	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
326	C₁₁×C₂²⋊C₄	—	2	2	no	—
327	C₁₁×C₂²⋊C₄	—	2	4	no	—
328	C₁₁×C₂²⋊C₄	—	2	2	no	—
329	C₁₁×C₂²⋊C₄	—	2	2	no	—
330	C₁₁×C₂²⋊C₄	—	4	1	no	—
331	C₁₁×C₂²⋊C₄	—	4	1	no	—
332	C₁₁×C₂²⋊C₄	—	4	2	no	—
333	C₁₁×C₂²⋊C₄	—	4	1	no	—
334	C₁₁×C₂²⋊C₄	—	4	2	no	—
335	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
336	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
337	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
338	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
339	C₄²×C₁₁	—	2	2	no	—
340	C₄²×C₁₁	—	2	2	no	—
341	C₄²×C₁₁	—	2	4	no	—
342	C₄²×C₁₁	—	2	2	no	—
343	C₄²×C₁₁	—	2	2	no	—
344	C₄²×C₁₁	—	4	1	no	—
345	C₄²×C₁₁	—	4	1	no	—
346	C₄²×C₁₁	—	4	2	no	—
347	C₄²×C₁₁	—	4	2	no	—
348	C₄²×C₁₁	—	4	2	no	—
349	C₄²×C₁₁	—	4	2	no	—
350	C₄²×C₁₁	—	4	2	no	—
351	C₄²×C₁₁	—	4	2	no	—
352	C₄²×C₁₁	—	4	2	no	—
353	C₄²×C₁₁	C₂²×C₄	1	8	yes	—
354	C₄²×C₁₁	C₂²×C₄	1	4	yes	—
355	C₂×#554	C₂×C₁₁	1	1	yes	characteristic
356	#2382	C₂×C₁₁	1	2	yes	complemented
357	#2378	C₂×C₁₁	1	2	yes	complemented
358	#2365	C₂×C₁₁	1	1	yes	characteristic, complemented
359	#2362	C₂×C₁₁	1	1	yes	characteristic, complemented
360	#2360	C₂×C₁₁	1	1	yes	characteristic, complemented
361	#2360	C₂×C₁₁	1	2	yes	complemented
362	#2352	C₂×C₁₁	1	1	yes	characteristic
363	#2352	C₂×C₁₁	1	2	yes	—
364	#2351	C₂×C₁₁	1	1	yes	characteristic, complemented
365	#2345	C₂×C₁₁	1	1	yes	characteristic, complemented
366	#2344	C₂×C₁₁	1	1	yes	characteristic, complemented
367	#2336	C₂×C₁₁	1	2	yes	complemented
368	#2331	C₂×C₁₁	1	1	yes	characteristic, complemented
369	#2329	C₂×C₁₁	1	2	yes	complemented
370	#2323	C₂×C₁₁	1	1	yes	characteristic, complemented
371	#2323	C₂×C₁₁	1	2	yes	complemented
372	#2320	C₂×C₁₁	1	1	yes	characteristic, complemented
373	#2318	C₂×C₁₁	1	2	yes	—
374	#2316	C₂×C₁₁	1	1	yes	characteristic, complemented
375	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
376	C₂×#389	C₂×C₁₁	1	1	yes	characteristic, complemented
377	#2290	C₂×C₁₁	1	1	yes	characteristic
378	C₂³×C₁₁	—	2	1	no	—
379	C₂³×C₁₁	—	2	1	no	—
380	C₂³×C₁₁	—	2	1	no	—
381	C₂³×C₁₁	—	2	1	no	—
382	C₂³×C₁₁	—	2	1	no	—
383	C₂³×C₁₁	—	2	1	no	—
384	C₂³×C₁₁	—	2	1	no	—
385	C₂³×C₁₁	—	2	1	no	—
386	C₂³×C₁₁	—	2	1	no	—
387	C₂³×C₁₁	—	2	1	no	—
388	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
389	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
390	C₂³×C₁₁	2₋¹⁺⁴	1	2	yes	—
391	C₂³×C₁₁	2₋¹⁺⁴	1	2	yes	—
392	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
393	Q₈×C₁₁	—	2	8	no	—
394	Q₈×C₁₁	—	4	8	no	—
395	D₄×C₁₁	—	2	8	no	—
396	C₂×C₄×C₁₁	—	2	1	no	—
397	C₂×C₄×C₁₁	—	2	2	no	—
398	C₂×C₄×C₁₁	—	2	1	no	—
399	C₂×C₄×C₁₁	—	2	1	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	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	1	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	—	2	2	no	—
413	C₂×C₄×C₁₁	—	2	1	no	—
414	C₂×C₄×C₁₁	—	2	8	no	—
415	C₂×C₄×C₁₁	—	2	8	no	—
416	C₂×C₄×C₁₁	—	2	1	no	—
417	C₂×C₄×C₁₁	—	2	2	no	—
418	C₂×C₄×C₁₁	—	2	1	no	—
419	C₂×C₄×C₁₁	—	2	1	no	—
420	C₂×C₄×C₁₁	—	2	1	no	—
421	C₂×C₄×C₁₁	—	2	1	no	—
422	C₂×C₄×C₁₁	—	2	1	no	—
423	C₂×C₄×C₁₁	—	2	2	no	—
424	C₂×C₄×C₁₁	—	2	1	no	—
425	C₂×C₄×C₁₁	—	2	2	no	—
426	C₂×C₄×C₁₁	—	2	2	no	—
427	C₂×C₄×C₁₁	—	2	2	no	—
428	C₂×C₄×C₁₁	—	2	2	no	—
429	C₂×C₄×C₁₁	—	2	1	no	—
430	C₂×C₄×C₁₁	—	2	1	no	—
431	C₂×C₄×C₁₁	—	2	1	no	—
432	C₂×C₄×C₁₁	—	2	1	no	—
433	C₂×C₄×C₁₁	—	2	1	no	—
434	C₂×C₄×C₁₁	—	2	2	no	—
435	C₂×C₄×C₁₁	—	2	2	no	—
436	C₂×C₄×C₁₁	—	2	1	no	—
437	C₂×C₄×C₁₁	—	2	1	no	—
438	C₂×C₄×C₁₁	—	2	2	no	—
439	C₂×C₄×C₁₁	—	2	1	no	—
440	C₂×C₄×C₁₁	—	2	2	no	—
441	C₂×C₄×C₁₁	—	2	2	no	—
442	C₂×C₄×C₁₁	—	2	1	no	—
443	C₂×C₄×C₁₁	—	2	1	no	—
444	C₂×C₄×C₁₁	—	2	1	no	—
445	C₂×C₄×C₁₁	—	2	2	no	—
446	C₂×C₄×C₁₁	—	2	1	no	—
447	C₂×C₄×C₁₁	—	2	1	no	—
448	C₂×C₄×C₁₁	—	2	1	no	—
449	C₂×C₄×C₁₁	—	4	8	no	—
450	C₂×C₄×C₁₁	—	4	8	no	—
451	C₂×C₄×C₁₁	—	4	4	no	—
452	C₂×C₄×C₁₁	—	4	4	no	—
453	C₂×C₄×C₁₁	—	8	4	no	—
454	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
455	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
456	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
457	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
458	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
459	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
460	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
461	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
462	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
463	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
464	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
465	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
466	#554	C₄×C₁₁	1	16	yes	complemented
467	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
468	C₂×#125	C₂²×C₁₁	1	2	yes	—
469	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
470	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
471	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
472	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
473	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
474	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
475	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
476	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
477	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
478	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
479	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
480	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
481	C₂×#117	C₂²×C₁₁	1	2	yes	—
482	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
483	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
484	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
485	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
486	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
487	#391	C₂²×C₁₁	1	1	yes	characteristic
488	#391	C₂²×C₁₁	1	1	yes	characteristic
489	#391	C₂²×C₁₁	1	2	yes	—
490	#391	C₂²×C₁₁	1	2	yes	—
491	#391	C₂²×C₁₁	1	2	yes	—
492	#389	C₂²×C₁₁	1	1	yes	characteristic
493	#389	C₂²×C₁₁	1	2	yes	—
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	2	yes	—
498	#389	C₂²×C₁₁	1	1	yes	characteristic
499	#389	C₂²×C₁₁	1	1	yes	characteristic
500	#389	C₂²×C₁₁	1	2	yes	—
501	#389	C₂²×C₁₁	1	2	yes	—
502	#389	C₂²×C₁₁	1	2	yes	—
503	#389	C₂²×C₁₁	1	2	yes	—
504	#389	C₂²×C₁₁	1	2	yes	—
505	#389	C₂²×C₁₁	1	1	yes	characteristic
506	#389	C₂²×C₁₁	1	1	yes	characteristic
507	#389	C₂²×C₁₁	1	2	yes	—
508	#388	C₂²×C₁₁	1	2	yes	—
509	#388	C₂²×C₁₁	1	2	yes	—
510	#388	C₂²×C₁₁	1	1	yes	characteristic
511	#388	C₂²×C₁₁	1	2	yes	—
512	#388	C₂²×C₁₁	1	2	yes	—
513	#388	C₂²×C₁₁	1	2	yes	—
514	#388	C₂²×C₁₁	1	1	yes	characteristic
515	#387	C₂²×C₁₁	1	2	yes	—
516	#387	C₂²×C₁₁	1	2	yes	—
517	#387	C₂²×C₁₁	1	2	yes	—
518	#387	C₂²×C₁₁	1	2	yes	—
519	#387	C₂²×C₁₁	1	2	yes	—
520	#387	C₂²×C₁₁	1	2	yes	—
521	#387	C₂²×C₁₁	1	2	yes	—
522	#387	C₂²×C₁₁	1	2	yes	—
523	#387	C₂²×C₁₁	1	2	yes	—
524	#387	C₂²×C₁₁	1	1	yes	characteristic
525	#387	C₂²×C₁₁	1	2	yes	—
526	#387	C₂²×C₁₁	1	2	yes	—
527	#387	C₂²×C₁₁	1	2	yes	—
528	#387	C₂²×C₁₁	1	2	yes	—
529	#387	C₂²×C₁₁	1	2	yes	—
530	#387	C₂²×C₁₁	1	2	yes	—
531	#387	C₂²×C₁₁	1	1	yes	characteristic
532	#386	C₂²×C₁₁	1	1	yes	characteristic
533	#386	C₂²×C₁₁	1	2	yes	—
534	#386	C₂²×C₁₁	1	1	yes	characteristic
535	#385	C₂²×C₁₁	1	2	yes	—
536	#385	C₂²×C₁₁	1	2	yes	—
537	#385	C₂²×C₁₁	1	1	yes	characteristic
538	#385	C₂²×C₁₁	1	1	yes	characteristic
539	#383	C₂²×C₁₁	1	2	yes	—
540	#382	C₂²×C₁₁	1	2	yes	—
541	#382	C₂²×C₁₁	1	2	yes	—
542	#382	C₂²×C₁₁	1	1	yes	characteristic
543	#381	C₂²×C₁₁	1	2	yes	—
544	#380	C₂²×C₁₁	1	2	yes	—
545	#380	C₂²×C₁₁	1	2	yes	—
546	#380	C₂²×C₁₁	1	1	yes	characteristic
547	#380	C₂²×C₁₁	1	2	yes	—
548	#380	C₂²×C₁₁	1	1	yes	characteristic
549	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
550	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
551	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
552	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
553	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
554	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
555	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
556	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
557	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
558	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
559	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
560	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
561	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
562	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
563	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
564	#376	C₂²×C₁₁	1	1	yes	characteristic
565	C₂×#95	C₂²×C₁₁	1	2	yes	—
566	C₂²×C₁₁	—	2	2	no	—
567	C₂²×C₁₁	—	2	2	no	—
568	C₂²×C₁₁	—	2	2	no	—
569	C₂²×C₁₁	—	2	2	no	—
570	C₂²×C₁₁	—	2	2	no	—
571	C₂²×C₁₁	—	2	2	no	—
572	C₂²×C₁₁	—	2	2	no	—
573	C₂²×C₁₁	—	2	2	no	—
574	C₂²×C₁₁	—	2	2	no	—
575	C₂²×C₁₁	—	4	1	no	—
576	C₂²×C₁₁	—	4	1	no	—
577	C₂²×C₁₁	—	4	1	no	—
578	C₂²×C₁₁	—	4	1	no	—
579	C₂²×C₁₁	#519	1	4	yes	—
580	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
581	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
582	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
583	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
584	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
585	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
586	C₂²×C₁₁	#585	1	1	yes	characteristic
587	C₄×C₁₁	—	2	2	no	—
588	C₄×C₁₁	—	2	2	no	—
589	C₄×C₁₁	—	2	2	no	—
590	C₄×C₁₁	—	2	4	no	—
591	C₄×C₁₁	—	2	4	no	—
592	C₄×C₁₁	—	2	4	no	—
593	C₄×C₁₁	—	2	4	no	—
594	C₄×C₁₁	—	2	2	no	—
595	C₄×C₁₁	—	2	2	no	—
596	C₄×C₁₁	—	4	1	no	—
597	C₄×C₁₁	—	4	1	no	—
598	C₄×C₁₁	—	4	2	no	—
599	C₄×C₁₁	—	4	2	no	—
600	C₄×C₁₁	—	4	1	no	—
601	C₄×C₁₁	—	4	2	no	—
602	C₄×C₁₁	—	4	1	no	—
603	C₄×C₁₁	—	4	1	no	—
604	C₄×C₁₁	—	4	2	no	—
605	C₄×C₁₁	—	4	1	no	—
606	C₄×C₁₁	—	4	1	no	—
607	C₄×C₁₁	#520	1	4	yes	—
608	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
609	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
610	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
611	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
612	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
613	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
614	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
615	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
616	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
617	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
618	C₄⋊Q₈	C₂×C₄×C₁₁	1	8	yes	complemented
619	#125	C₂×C₄×C₁₁	1	16	yes	complemented
620	C₂²⋊Q₈	C₂×C₄×C₁₁	1	16	yes	—
621	C₂²⋊Q₈	C₂×C₄×C₁₁	1	8	yes	—
622	C₂²⋊Q₈	C₂×C₄×C₁₁	1	16	yes	complemented
623	C₂²⋊Q₈	C₂×C₄×C₁₁	1	8	yes	complemented
624	C₄×Q₈	—	4	4	no	—
625	C₄×Q₈	—	4	2	no	—
626	C₄×Q₈	—	4	2	no	—
627	C₄×Q₈	C₂×C₄×C₁₁	1	8	yes	complemented
628	C₄×D₄	C₂×C₄×C₁₁	1	16	yes	—
629	C₄×D₄	C₂×C₄×C₁₁	1	8	yes	—
630	#117	—	4	2	no	—
631	#117	—	4	4	no	—
632	#117	—	4	2	no	—
633	C₂×C₄⋊C₄	—	4	2	no	—
634	C₂×C₄⋊C₄	—	4	4	no	—
635	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	8	yes	—
636	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	8	yes	complemented
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×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
641	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
645	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
646	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
647	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
648	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
651	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
652	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
653	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
654	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
655	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
657	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
658	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
659	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
663	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
664	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
667	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
669	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
670	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
671	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
672	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
677	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
679	C₂×C₄²	—	4	2	no	—
680	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
681	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
682	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
683	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
684	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
685	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
686	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
687	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
688	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
689	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
690	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
691	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
692	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
693	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
694	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
695	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
696	#95	C₂³×C₁₁	1	2	yes	—
697	#95	C₂³×C₁₁	1	2	yes	—
698	#95	C₂³×C₁₁	1	2	yes	—
699	#95	C₂³×C₁₁	1	2	yes	—
700	#95	C₂³×C₁₁	1	1	yes	characteristic
701	#95	C₂³×C₁₁	1	1	yes	characteristic
702	#95	C₂³×C₁₁	1	1	yes	characteristic
703	#95	C₂³×C₁₁	1	1	yes	characteristic
704	#95	C₂³×C₁₁	1	1	yes	characteristic
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	#95	C₂³×C₁₁	1	2	yes	—
710	#95	C₂³×C₁₁	1	2	yes	—
711	#95	C₂³×C₁₁	1	2	yes	—
712	#95	C₂³×C₁₁	1	2	yes	—
713	#95	C₂³×C₁₁	1	1	yes	characteristic
714	#95	C₂³×C₁₁	1	1	yes	characteristic
715	#95	C₂³×C₁₁	1	1	yes	characteristic
716	#95	C₂³×C₁₁	1	1	yes	characteristic
717	#95	C₂³×C₁₁	1	2	yes	—
718	#95	C₂³×C₁₁	1	2	yes	—
719	#95	C₂³×C₁₁	1	2	yes	—
720	#95	C₂³×C₁₁	1	2	yes	—
721	#95	C₂³×C₁₁	1	2	yes	—
722	#95	C₂³×C₁₁	1	1	yes	characteristic
723	#95	C₂³×C₁₁	1	2	yes	—
724	#95	C₂³×C₁₁	1	2	yes	—
725	#95	C₂³×C₁₁	1	2	yes	—
726	#95	C₂³×C₁₁	1	2	yes	—
727	C₂×C₁₁	—	2	4	no	—
728	C₂×C₁₁	—	4	2	no	—
729	C₂×C₁₁	C₂×#519	1	1	yes	characteristic
730	C₂×C₁₁	C₂×#520	1	1	yes	characteristic
731	C₂×C₁₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
732	C₂×C₁₁	#3536	1	1	yes	characteristic
733	C₂×C₁₁	#3541	1	1	yes	characteristic
734	C₂×C₁₁	#3552	1	1	yes	characteristic
735	C₂×C₁₁	#3563	1	1	yes	characteristic
736	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
737	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
738	C₂×Q₈	—	2	2	no	—
739	C₂×Q₈	—	2	2	no	—
740	C₂×Q₈	—	4	2	no	—
741	C₂×Q₈	—	4	2	no	—
742	C₂×Q₈	C₂²×C₄×C₁₁	1	4	yes	—
743	C₂×Q₈	C₂²×C₄×C₁₁	1	8	yes	—
744	C₂×D₄	—	2	2	no	—
745	C₂×D₄	—	2	2	no	—
746	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
747	C₂²×C₄	—	2	2	no	—
748	C₂²×C₄	—	2	2	no	—
749	C₂²×C₄	—	2	2	no	—
750	C₂²×C₄	—	2	2	no	—
751	C₂²×C₄	—	2	2	no	—
752	C₂²×C₄	—	2	2	no	—
753	C₂²×C₄	—	2	4	no	—
754	C₂²×C₄	—	2	2	no	—
755	C₂²×C₄	—	4	1	no	—
756	C₂²×C₄	—	4	1	no	—
757	C₂²×C₄	—	4	2	no	—
758	C₂²×C₄	—	4	2	no	—
759	C₂²×C₄	—	4	2	no	—
760	C₂²×C₄	—	4	2	no	—
761	C₂²×C₄	—	4	1	no	—
762	C₂²×C₄	—	4	2	no	—
763	C₂²×C₄	—	4	2	no	—
764	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
765	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
766	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
767	C₂²×C₄	C₂²×C₄×C₁₁	1	8	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	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
772	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
773	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
774	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
775	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
776	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
777	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
778	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
779	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
780	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
781	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
782	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
783	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
784	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
785	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
786	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
787	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
788	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
789	C₄⋊C₄	—	2	4	no	—
790	C₄⋊C₄	—	2	2	no	—
791	C₄⋊C₄	—	2	4	no	—
792	C₄⋊C₄	—	2	2	no	—
793	C₄⋊C₄	—	2	2	no	—
794	C₄⋊C₄	—	2	2	no	—
795	C₄⋊C₄	—	2	2	no	—
796	C₄⋊C₄	—	4	2	no	—
797	C₄⋊C₄	—	4	2	no	—
798	C₄⋊C₄	—	4	2	no	—
799	C₄⋊C₄	—	4	1	no	—
800	C₄⋊C₄	—	4	1	no	—
801	C₄⋊C₄	—	4	2	no	—
802	C₄⋊C₄	—	4	2	no	—
803	C₄⋊C₄	—	4	2	no	—
804	C₄⋊C₄	—	4	2	no	—
805	C₄⋊C₄	—	4	2	no	—
806	C₄⋊C₄	—	4	2	no	—
807	C₄⋊C₄	—	4	1	no	—
808	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
809	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
810	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
811	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
812	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
813	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
814	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
815	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
816	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
817	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
818	C₂²⋊C₄	—	2	4	no	—
819	C₂²⋊C₄	—	2	2	no	—
820	C₂²⋊C₄	—	2	2	no	—
821	C₂²⋊C₄	—	2	2	no	—
822	C₂²⋊C₄	—	4	1	no	—
823	C₂²⋊C₄	—	4	2	no	—
824	C₂²⋊C₄	—	4	1	no	—
825	C₂²⋊C₄	—	4	2	no	—
826	C₂²⋊C₄	—	4	1	no	—
827	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
828	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
829	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
830	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
831	C₄²	—	2	2	no	—
832	C₄²	—	2	2	no	—
833	C₄²	—	2	4	no	—
834	C₄²	—	2	2	no	—
835	C₄²	—	2	2	no	—
836	C₄²	—	4	1	no	—
837	C₄²	—	4	1	no	—
838	C₄²	—	4	2	no	—
839	C₄²	—	4	2	no	—
840	C₄²	—	4	2	no	—
841	C₄²	—	4	2	no	—
842	C₄²	—	4	2	no	—
843	C₄²	—	4	2	no	—
844	C₄²	—	4	2	no	—
845	C₄²	C₂²×C₄×C₁₁	1	8	yes	—
846	C₄²	C₂²×C₄×C₁₁	1	4	yes	—
847	C₁₁	#34464	1	1	yes	characteristic, direct product factor, Sylow
848	C₂³	—	2	1	no	—
849	C₂³	—	2	1	no	—
850	C₂³	—	2	1	no	—
851	C₂³	—	2	1	no	—
852	C₂³	—	2	1	no	—
853	C₂³	—	2	1	no	—
854	C₂³	—	2	1	no	—
855	C₂³	—	2	1	no	—
856	C₂³	—	2	1	no	—
857	C₂³	—	2	1	no	—
858	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
859	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
860	C₂³	C₁₁×2₋¹⁺⁴	1	2	yes	—
861	C₂³	C₁₁×2₋¹⁺⁴	1	2	yes	—
862	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
863	Q₈	—	2	8	no	—
864	Q₈	—	4	8	no	—
865	D₄	—	2	8	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	2	no	—
868	C₂×C₄	—	2	1	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	2	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	1	no	—
877	C₂×C₄	—	2	1	no	—
878	C₂×C₄	—	2	1	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	8	no	—
885	C₂×C₄	—	2	8	no	—
886	C₂×C₄	—	2	1	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	1	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	2	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	1	no	—
902	C₂×C₄	—	2	1	no	—
903	C₂×C₄	—	2	1	no	—
904	C₂×C₄	—	2	2	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	2	no	—
911	C₂×C₄	—	2	2	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	1	no	—
914	C₂×C₄	—	2	1	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	1	no	—
917	C₂×C₄	—	2	1	no	—
918	C₂×C₄	—	2	1	no	—
919	C₂×C₄	—	4	8	no	—
920	C₂×C₄	—	4	8	no	—
921	C₂×C₄	—	4	4	no	—
922	C₂×C₄	—	4	4	no	—
923	C₂×C₄	—	8	4	no	—
924	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
925	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
926	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
927	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
928	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
929	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
930	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
931	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
932	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
933	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
934	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
935	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
936	C₂²	—	2	2	no	—
937	C₂²	—	2	2	no	—
938	C₂²	—	2	2	no	—
939	C₂²	—	2	2	no	—
940	C₂²	—	2	2	no	—
941	C₂²	—	2	2	no	—
942	C₂²	—	2	2	no	—
943	C₂²	—	2	2	no	—
944	C₂²	—	2	2	no	—
945	C₂²	—	4	1	no	—
946	C₂²	—	4	1	no	—
947	C₂²	—	4	1	no	—
948	C₂²	—	4	1	no	—
949	C₂²	C₁₁×#519	1	4	yes	—
950	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
951	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
952	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
953	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
954	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
955	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
956	C₂²	C₁₁×#585	1	1	yes	characteristic
957	C₄	—	2	2	no	—
958	C₄	—	2	2	no	—
959	C₄	—	2	2	no	—
960	C₄	—	2	4	no	—
961	C₄	—	2	4	no	—
962	C₄	—	2	4	no	—
963	C₄	—	2	4	no	—
964	C₄	—	2	2	no	—
965	C₄	—	2	2	no	—
966	C₄	—	4	1	no	—
967	C₄	—	4	2	no	—
968	C₄	—	4	2	no	—
969	C₄	—	4	1	no	—
970	C₄	—	4	1	no	—
971	C₄	—	4	1	no	—
972	C₄	—	4	1	no	—
973	C₄	—	4	2	no	—
974	C₄	—	4	2	no	—
975	C₄	—	4	1	no	—
976	C₄	—	4	1	no	—
977	C₄	C₁₁×#520	1	4	yes	—
978	C₂	—	2	4	no	—
979	C₂	—	4	2	no	—
980	C₂	C₂×C₁₁×#519	1	1	yes	characteristic
981	C₂	C₂×C₁₁×#520	1	1	yes	characteristic
982	C₂	C₄×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
983	C₂	C₁₁×#3536	1	1	yes	characteristic
984	C₂	C₁₁×#3541	1	1	yes	characteristic
985	C₂	C₁₁×#3552	1	1	yes	characteristic
986	C₂	C₁₁×#3563	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂²×D₄×C₁₁	C₂³
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×#2382	C₂	semidirect
3. C₁₁×#2378	C₂	semidirect
4. C₁₁×#2365	C₂	semidirect
5. C₁₁×#2362	C₂	semidirect
6. C₁₁×#2360	C₂	semidirect
7. C₁₁×#2360	C₂	semidirect
10. C₁₁×#2351	C₂	semidirect
11. C₁₁×#2345	C₂	semidirect
12. C₁₁×#2344	C₂	semidirect
13. C₁₁×#2336	C₂	semidirect
14. C₁₁×#2331	C₂	semidirect
15. C₁₁×#2329	C₂	semidirect
16. C₁₁×#2323	C₂	semidirect
17. C₁₁×#2323	C₂	semidirect
18. C₁₁×#2320	C₂	semidirect
20. C₁₁×#2316	C₂	semidirect
21. C₄×C₁₁×C₂²⋊Q₈	C₂	semidirect
22. C₂×C₁₁×#389	C₂	semidirect
24. C₁₁×#554	C₄	semidirect
134. C₁₁×C₄⋊Q₈	C₂×C₄	semidirect
135. C₁₁×#125	C₂×C₄	semidirect
138. C₁₁×C₂²⋊Q₈	C₂×C₄	semidirect
139. C₁₁×C₂²⋊Q₈	C₂×C₄	semidirect
143. C₄×Q₈×C₁₁	C₂×C₄	semidirect
152. C₂×C₁₁×C₄⋊C₄	C₂×C₄	semidirect
243. #34464	C₁₁	direct (N × H)
356. #2382	C₂×C₁₁	semidirect
357. #2378	C₂×C₁₁	semidirect
358. #2365	C₂×C₁₁	semidirect
359. #2362	C₂×C₁₁	semidirect
360. #2360	C₂×C₁₁	semidirect
361. #2360	C₂×C₁₁	semidirect
364. #2351	C₂×C₁₁	semidirect
365. #2345	C₂×C₁₁	semidirect
366. #2344	C₂×C₁₁	semidirect
367. #2336	C₂×C₁₁	semidirect
368. #2331	C₂×C₁₁	semidirect
369. #2329	C₂×C₁₁	semidirect
370. #2323	C₂×C₁₁	semidirect
371. #2323	C₂×C₁₁	semidirect
372. #2320	C₂×C₁₁	semidirect
374. #2316	C₂×C₁₁	semidirect
375. C₄×C₂²⋊Q₈	C₂×C₁₁	semidirect
376. C₂×#389	C₂×C₁₁	semidirect
466. #554	C₄×C₁₁	semidirect
618. C₄⋊Q₈	C₂×C₄×C₁₁	semidirect
619. #125	C₂×C₄×C₁₁	semidirect
622. C₂²⋊Q₈	C₂×C₄×C₁₁	semidirect
623. C₂²⋊Q₈	C₂×C₄×C₁₁	semidirect
627. C₄×Q₈	C₂×C₄×C₁₁	semidirect
636. C₂×C₄⋊C₄	C₂×C₄×C₁₁	semidirect
847. C₁₁	#34464	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×#554	2
C₁₁×#2382	2
C₁₁×#2378	2
C₁₁×#2365	2
C₁₁×#2362	2
C₁₁×#2360	2
C₁₁×#2352	2
C₁₁×#2351	2
C₁₁×#2345	2
C₁₁×#2344	2
C₁₁×#2336	2
C₁₁×#2331	2
C₁₁×#2329	2
C₁₁×#2323	2
C₁₁×#2320	2
C₁₁×#2318	2
C₁₁×#2316	2
C₄×C₁₁×C₂²⋊Q₈	2
C₂×C₁₁×#389	2
C₁₁×#2290	2
#34464	11

Subgroups — C11×#34464 #14611657

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#34464 #14611657