Subgroups — C₁₁×#36605 #14613798

Order 2816.

1860 conjugacy classes of subgroups.

The subgroup lattice has 990 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2857	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#2850	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#2850	C₂	1	1	yes	maximal, characteristic
4	C₁₁×#2594	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2579	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2573	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2570	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2545	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2525	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2514	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2512	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2510	C₂	1	2	yes	maximal, complemented
13	C₁₁×#2481	C₂	1	2	yes	maximal, complemented
14	C₁₁×#2447	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2446	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2373	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2367	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#2356	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#2353	C₂	1	2	yes	maximal, complemented
20	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₁×#121	C₂	1	1	yes	maximal, characteristic
23	C₂×C₄×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#126	C₂²	1	2	yes	—
26	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
28	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
29	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×#121	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×D₄×C₁₁	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
35	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
36	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
37	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
38	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
39	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
40	C₁₁×#401	C₂²	1	2	yes	—
41	C₁₁×#400	C₂²	1	2	yes	—
42	C₁₁×#400	C₂²	1	2	yes	—
43	C₁₁×#400	C₂²	1	2	yes	—
44	C₁₁×#398	C₂²	1	2	yes	—
45	C₁₁×#398	C₂²	1	2	yes	—
46	C₁₁×#397	C₂²	1	2	yes	—
47	C₁₁×#397	C₂²	1	2	yes	—
48	C₁₁×#397	C₂²	1	2	yes	—
49	C₁₁×#396	C₂²	1	2	yes	—
50	C₁₁×#396	C₂²	1	2	yes	—
51	C₁₁×#396	C₂²	1	2	yes	—
52	C₁₁×#391	C₂²	1	1	yes	characteristic
53	C₁₁×#391	C₂²	1	1	yes	characteristic
54	C₁₁×#391	C₂²	1	1	yes	characteristic
55	C₁₁×#391	C₂²	1	1	yes	characteristic
56	C₁₁×#391	C₂²	1	1	yes	characteristic
57	C₁₁×#391	C₂²	1	1	yes	characteristic
58	C₁₁×#390	C₂²	1	1	yes	characteristic
59	C₁₁×#390	C₂²	1	1	yes	characteristic
60	C₁₁×#390	C₂²	1	1	yes	characteristic
61	C₁₁×#389	C₂²	1	1	yes	characteristic
62	C₁₁×#389	C₂²	1	1	yes	characteristic
63	C₁₁×#389	C₂²	1	1	yes	characteristic
64	C₁₁×#389	C₂²	1	2	yes	—
65	C₁₁×#389	C₂²	1	2	yes	—
66	C₁₁×#388	C₂²	1	2	yes	—
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	2	yes	—
71	C₁₁×#388	C₂²	1	2	yes	—
72	C₁₁×#388	C₂²	1	2	yes	—
73	C₁₁×#388	C₂²	1	2	yes	—
74	C₁₁×#388	C₂²	1	2	yes	—
75	C₁₁×#388	C₂²	1	2	yes	—
76	C₁₁×#387	C₂²	1	2	yes	—
77	C₁₁×#387	C₂²	1	2	yes	—
78	C₁₁×#387	C₂²	1	2	yes	—
79	C₁₁×#387	C₂²	1	2	yes	—
80	C₁₁×#387	C₂²	1	2	yes	—
81	C₁₁×#387	C₂²	1	2	yes	—
82	C₁₁×#387	C₂²	1	2	yes	—
83	C₁₁×#387	C₂²	1	2	yes	—
84	C₁₁×#387	C₂²	1	2	yes	—
85	C₁₁×#386	C₂²	1	2	yes	—
86	C₁₁×#386	C₂²	1	2	yes	—
87	C₁₁×#386	C₂²	1	2	yes	—
88	C₁₁×#386	C₂²	1	2	yes	—
89	C₁₁×#386	C₂²	1	2	yes	—
90	C₁₁×#385	C₂²	1	2	yes	—
91	C₁₁×#385	C₂²	1	2	yes	—
92	C₁₁×#385	C₂²	1	2	yes	—
93	C₁₁×#385	C₂²	1	2	yes	—
94	C₁₁×#384	C₂²	1	1	yes	characteristic
95	C₁₁×#383	C₂²	1	2	yes	—
96	C₁₁×#383	C₂²	1	2	yes	—
97	C₁₁×#382	C₂²	1	1	yes	characteristic
98	C₁₁×#382	C₂²	1	1	yes	characteristic
99	C₁₁×#381	C₂²	1	2	yes	—
100	C₁₁×#380	C₂²	1	2	yes	—
101	C₁₁×#380	C₂²	1	1	yes	characteristic
102	C₁₁×#380	C₂²	1	2	yes	—
103	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
104	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
114	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
116	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
117	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
118	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₁₁×#376	C₂²	1	2	yes	—
121	C₂×C₁₁×#95	C₂²	1	1	yes	characteristic
122	C₂×C₁₁×#95	C₂²	1	1	yes	characteristic
123	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
125	C₂²×D₄×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	1	yes	characteristic
132	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
135	C₁₁×C₄⋊Q₈	—	4	2	no	—
136	C₁₁×#126	—	2	8	no	—
137	C₁₁×#124	—	2	4	no	—
138	C₁₁×#124	—	4	2	no	—
139	C₁₁×C₂²⋊Q₈	—	2	4	no	—
140	C₁₁×C₂²⋊Q₈	—	2	4	no	—
141	C₁₁×#121	—	2	4	no	—
142	C₄×Q₈×C₁₁	—	2	4	no	—
143	C₄×Q₈×C₁₁	—	4	2	no	—
144	C₄×D₄×C₁₁	—	2	8	no	—
145	C₄×D₄×C₁₁	—	4	2	no	—
146	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
147	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
148	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
150	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
152	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
153	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
154	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
155	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
156	C₂×C₁₁×C₄⋊C₄	C₂³	1	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	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	2	yes	—
170	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₁×C₄⋊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	2	yes	—
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	2	yes	—
181	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₄²×C₁₁	—	2	4	no	—
188	C₂×C₄²×C₁₁	—	4	2	no	—
189	C₂×C₄²×C₁₁	—	4	2	no	—
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	1	yes	characteristic
194	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
195	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
196	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
197	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
198	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
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	1	yes	characteristic
204	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
205	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
206	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
207	C₁₁×#95	C₂³	1	1	yes	characteristic
208	C₁₁×#95	C₂³	1	1	yes	characteristic
209	C₁₁×#95	C₂³	1	1	yes	characteristic
210	C₁₁×#95	C₂³	1	1	yes	characteristic
211	C₁₁×#95	C₂³	1	1	yes	characteristic
212	C₁₁×#95	C₂³	1	1	yes	characteristic
213	C₁₁×#95	C₂³	1	1	yes	characteristic
214	C₁₁×#95	C₂³	1	1	yes	characteristic
215	C₁₁×#95	C₂³	1	2	yes	—
216	C₁₁×#95	C₂³	1	2	yes	—
217	C₁₁×#95	C₂³	1	2	yes	—
218	C₁₁×#95	C₂³	1	2	yes	—
219	C₁₁×#95	C₂³	1	2	yes	—
220	C₁₁×#95	C₂³	1	2	yes	—
221	C₁₁×#95	C₂³	1	2	yes	—
222	C₁₁×#95	C₂³	1	2	yes	—
223	C₁₁×#95	C₂³	1	2	yes	—
224	C₁₁×#95	C₂³	1	2	yes	—
225	C₁₁×#95	C₂³	1	2	yes	—
226	C₁₁×#95	C₂³	1	2	yes	—
227	C₁₁×#95	C₂³	1	2	yes	—
228	C₁₁×#95	C₂³	1	2	yes	—
229	C₁₁×#95	C₂³	1	2	yes	—
230	C₁₁×#95	C₂³	1	2	yes	—
231	C₁₁×#95	C₂³	1	2	yes	—
232	C₁₁×#95	C₂³	1	2	yes	—
233	C₁₁×#95	C₂³	1	2	yes	—
234	C₁₁×#95	C₂³	1	2	yes	—
235	C₁₁×#95	C₂³	1	2	yes	—
236	C₁₁×#95	C₂³	1	2	yes	—
237	C₁₁×#95	C₂³	1	2	yes	—
238	#36605	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
239	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
240	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
241	C₂×Q₈×C₁₁	—	2	2	no	—
242	C₂×Q₈×C₁₁	—	2	2	no	—
243	C₂×Q₈×C₁₁	—	2	2	no	—
244	C₂×Q₈×C₁₁	—	2	2	no	—
245	C₂×Q₈×C₁₁	—	2	2	no	—
246	C₂×Q₈×C₁₁	—	2	2	no	—
247	C₂×D₄×C₁₁	—	2	4	no	—
248	C₂×D₄×C₁₁	—	2	4	no	—
249	C₂×D₄×C₁₁	—	2	4	no	—
250	C₂×D₄×C₁₁	—	2	2	no	—
251	C₂×D₄×C₁₁	—	2	2	no	—
252	C₂×D₄×C₁₁	—	2	2	no	—
253	C₂²×C₄×C₁₁	—	2	2	no	—
254	C₂²×C₄×C₁₁	—	2	2	no	—
255	C₂²×C₄×C₁₁	—	2	2	no	—
256	C₂²×C₄×C₁₁	—	2	2	no	—
257	C₂²×C₄×C₁₁	—	2	2	no	—
258	C₂²×C₄×C₁₁	—	2	2	no	—
259	C₂²×C₄×C₁₁	—	2	2	no	—
260	C₂²×C₄×C₁₁	—	2	2	no	—
261	C₂²×C₄×C₁₁	—	2	2	no	—
262	C₂²×C₄×C₁₁	—	2	2	no	—
263	C₂²×C₄×C₁₁	—	2	2	no	—
264	C₂²×C₄×C₁₁	—	2	2	no	—
265	C₂²×C₄×C₁₁	—	2	4	no	—
266	C₂²×C₄×C₁₁	—	4	1	no	—
267	C₂²×C₄×C₁₁	—	4	1	no	—
268	C₂²×C₄×C₁₁	—	4	1	no	—
269	C₂²×C₄×C₁₁	—	4	1	no	—
270	C₂²×C₄×C₁₁	—	4	1	no	—
271	C₂²×C₄×C₁₁	—	4	1	no	—
272	C₂²×C₄×C₁₁	—	4	1	no	—
273	C₂²×C₄×C₁₁	—	4	2	no	—
274	C₂²×C₄×C₁₁	—	4	2	no	—
275	C₂²×C₄×C₁₁	#41	1	4	yes	—
276	C₂²×C₄×C₁₁	#41	1	4	yes	—
277	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
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	2	yes	—
282	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
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	2	yes	—
287	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
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	1	yes	characteristic
293	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
294	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
298	C₁₁×C₄⋊C₄	—	2	2	no	—
299	C₁₁×C₄⋊C₄	—	2	2	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	—	2	2	no	—
305	C₁₁×C₄⋊C₄	—	2	4	no	—
306	C₁₁×C₄⋊C₄	—	2	2	no	—
307	C₁₁×C₄⋊C₄	—	2	4	no	—
308	C₁₁×C₄⋊C₄	—	2	2	no	—
309	C₁₁×C₄⋊C₄	—	2	2	no	—
310	C₁₁×C₄⋊C₄	—	2	2	no	—
311	C₁₁×C₄⋊C₄	—	2	4	no	—
312	C₁₁×C₄⋊C₄	—	2	4	no	—
313	C₁₁×C₄⋊C₄	—	2	4	no	—
314	C₁₁×C₄⋊C₄	—	2	4	no	—
315	C₁₁×C₄⋊C₄	—	2	2	no	—
316	C₁₁×C₄⋊C₄	—	4	2	no	—
317	C₁₁×C₄⋊C₄	—	4	2	no	—
318	C₁₁×C₄⋊C₄	—	4	2	no	—
319	C₁₁×C₄⋊C₄	—	4	2	no	—
320	C₁₁×C₄⋊C₄	—	4	2	no	—
321	C₁₁×C₄⋊C₄	#41	1	4	yes	—
322	C₁₁×C₂²⋊C₄	—	2	4	no	—
323	C₁₁×C₂²⋊C₄	—	2	4	no	—
324	C₁₁×C₂²⋊C₄	—	2	4	no	—
325	C₁₁×C₂²⋊C₄	—	2	4	no	—
326	C₁₁×C₂²⋊C₄	—	2	4	no	—
327	C₁₁×C₂²⋊C₄	—	2	4	no	—
328	C₁₁×C₂²⋊C₄	—	2	4	no	—
329	C₁₁×C₂²⋊C₄	—	2	4	no	—
330	C₁₁×C₂²⋊C₄	—	2	4	no	—
331	C₁₁×C₂²⋊C₄	—	2	4	no	—
332	C₁₁×C₂²⋊C₄	—	4	2	no	—
333	C₁₁×C₂²⋊C₄	—	4	2	no	—
334	C₁₁×C₂²⋊C₄	—	4	2	no	—
335	C₁₁×C₂²⋊C₄	—	4	2	no	—
336	C₁₁×C₂²⋊C₄	—	4	2	no	—
337	C₄²×C₁₁	—	2	2	no	—
338	C₄²×C₁₁	—	2	2	no	—
339	C₄²×C₁₁	—	2	2	no	—
340	C₄²×C₁₁	—	2	4	no	—
341	C₄²×C₁₁	—	2	4	no	—
342	C₄²×C₁₁	—	2	4	no	—
343	C₄²×C₁₁	—	2	2	no	—
344	C₄²×C₁₁	—	2	2	no	—
345	C₄²×C₁₁	—	2	2	no	—
346	C₄²×C₁₁	—	2	2	no	—
347	C₄²×C₁₁	—	4	1	no	—
348	C₄²×C₁₁	—	4	1	no	—
349	C₄²×C₁₁	—	4	1	no	—
350	C₄²×C₁₁	—	4	1	no	—
351	C₄²×C₁₁	—	4	2	no	—
352	C₄²×C₁₁	—	4	2	no	—
353	C₄²×C₁₁	#41	1	4	yes	—
354	#2857	C₂×C₁₁	1	1	yes	characteristic, complemented
355	#2850	C₂×C₁₁	1	1	yes	characteristic
356	#2850	C₂×C₁₁	1	1	yes	characteristic
357	#2594	C₂×C₁₁	1	2	yes	complemented
358	#2579	C₂×C₁₁	1	2	yes	complemented
359	#2573	C₂×C₁₁	1	2	yes	complemented
360	#2570	C₂×C₁₁	1	1	yes	characteristic, complemented
361	#2545	C₂×C₁₁	1	1	yes	characteristic, complemented
362	#2525	C₂×C₁₁	1	2	yes	complemented
363	#2514	C₂×C₁₁	1	1	yes	characteristic, complemented
364	#2512	C₂×C₁₁	1	1	yes	characteristic, complemented
365	#2510	C₂×C₁₁	1	2	yes	complemented
366	#2481	C₂×C₁₁	1	2	yes	complemented
367	#2447	C₂×C₁₁	1	1	yes	characteristic, complemented
368	#2446	C₂×C₁₁	1	1	yes	characteristic, complemented
369	#2373	C₂×C₁₁	1	2	yes	complemented
370	#2367	C₂×C₁₁	1	1	yes	characteristic, complemented
371	#2356	C₂×C₁₁	1	1	yes	characteristic, complemented
372	#2353	C₂×C₁₁	1	2	yes	complemented
373	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
374	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
375	C₄×#121	C₂×C₁₁	1	1	yes	characteristic
376	C₂×C₄×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
377	C₂³×C₁₁	—	2	1	no	—
378	C₂³×C₁₁	—	2	1	no	—
379	C₂³×C₁₁	—	2	1	no	—
380	C₂³×C₁₁	—	2	1	no	—
381	C₂³×C₁₁	—	2	2	no	—
382	C₂³×C₁₁	—	2	2	no	—
383	C₂³×C₁₁	—	2	2	no	—
384	C₂³×C₁₁	—	2	2	no	—
385	C₂³×C₁₁	—	2	2	no	—
386	C₂³×C₁₁	—	2	2	no	—
387	C₂³×C₁₁	—	2	2	no	—
388	C₂³×C₁₁	C₂×#41	1	2	yes	—
389	C₂³×C₁₁	C₂×#41	1	2	yes	—
390	C₂³×C₁₁	2₋¹⁺⁴	1	2	yes	—
391	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
392	Q₈×C₁₁	—	4	4	no	—
393	Q₈×C₁₁	—	4	4	no	—
394	D₄×C₁₁	—	4	8	no	—
395	D₄×C₁₁	—	4	4	no	—
396	C₂×C₄×C₁₁	—	2	8	no	—
397	C₂×C₄×C₁₁	—	2	1	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	1	no	—
402	C₂×C₄×C₁₁	—	2	1	no	—
403	C₂×C₄×C₁₁	—	2	1	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	1	no	—
410	C₂×C₄×C₁₁	—	2	1	no	—
411	C₂×C₄×C₁₁	—	2	1	no	—
412	C₂×C₄×C₁₁	—	2	1	no	—
413	C₂×C₄×C₁₁	—	2	8	no	—
414	C₂×C₄×C₁₁	—	2	1	no	—
415	C₂×C₄×C₁₁	—	2	2	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	2	no	—
424	C₂×C₄×C₁₁	—	2	2	no	—
425	C₂×C₄×C₁₁	—	2	2	no	—
426	C₂×C₄×C₁₁	—	2	2	no	—
427	C₂×C₄×C₁₁	—	2	2	no	—
428	C₂×C₄×C₁₁	—	2	2	no	—
429	C₂×C₄×C₁₁	—	2	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	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	—	2	1	no	—
441	C₂×C₄×C₁₁	—	2	1	no	—
442	C₂×C₄×C₁₁	—	2	1	no	—
443	C₂×C₄×C₁₁	—	2	2	no	—
444	C₂×C₄×C₁₁	—	2	2	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	2	no	—
449	C₂×C₄×C₁₁	—	2	1	no	—
450	C₂×C₄×C₁₁	—	4	4	no	—
451	C₂×C₄×C₁₁	—	4	4	no	—
452	C₂×C₄×C₁₁	—	4	4	no	—
453	C₂×C₄×C₁₁	—	4	4	no	—
454	C₂×C₄×C₁₁	—	4	4	no	—
455	C₂×C₄×C₁₁	—	8	4	no	—
456	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
457	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
458	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
459	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
460	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
461	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
462	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
463	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
464	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
465	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
466	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
467	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
468	C₂×#126	C₂²×C₁₁	1	2	yes	—
469	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
470	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
471	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
472	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
473	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
474	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
475	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
476	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
477	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
478	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
479	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
480	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
481	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
482	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
483	#401	C₂²×C₁₁	1	2	yes	—
484	#400	C₂²×C₁₁	1	2	yes	—
485	#400	C₂²×C₁₁	1	2	yes	—
486	#400	C₂²×C₁₁	1	2	yes	—
487	#398	C₂²×C₁₁	1	2	yes	—
488	#398	C₂²×C₁₁	1	2	yes	—
489	#397	C₂²×C₁₁	1	2	yes	—
490	#397	C₂²×C₁₁	1	2	yes	—
491	#397	C₂²×C₁₁	1	2	yes	—
492	#396	C₂²×C₁₁	1	2	yes	—
493	#396	C₂²×C₁₁	1	2	yes	—
494	#396	C₂²×C₁₁	1	2	yes	—
495	#391	C₂²×C₁₁	1	1	yes	characteristic
496	#391	C₂²×C₁₁	1	1	yes	characteristic
497	#391	C₂²×C₁₁	1	1	yes	characteristic
498	#391	C₂²×C₁₁	1	1	yes	characteristic
499	#391	C₂²×C₁₁	1	1	yes	characteristic
500	#391	C₂²×C₁₁	1	1	yes	characteristic
501	#390	C₂²×C₁₁	1	1	yes	characteristic
502	#390	C₂²×C₁₁	1	1	yes	characteristic
503	#390	C₂²×C₁₁	1	1	yes	characteristic
504	#389	C₂²×C₁₁	1	1	yes	characteristic
505	#389	C₂²×C₁₁	1	1	yes	characteristic
506	#389	C₂²×C₁₁	1	2	yes	—
507	#389	C₂²×C₁₁	1	2	yes	—
508	#389	C₂²×C₁₁	1	1	yes	characteristic
509	#388	C₂²×C₁₁	1	2	yes	—
510	#388	C₂²×C₁₁	1	2	yes	—
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	2	yes	—
515	#388	C₂²×C₁₁	1	2	yes	—
516	#388	C₂²×C₁₁	1	2	yes	—
517	#388	C₂²×C₁₁	1	2	yes	—
518	#388	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	2	yes	—
525	#387	C₂²×C₁₁	1	2	yes	—
526	#387	C₂²×C₁₁	1	2	yes	—
527	#387	C₂²×C₁₁	1	2	yes	—
528	#386	C₂²×C₁₁	1	2	yes	—
529	#386	C₂²×C₁₁	1	2	yes	—
530	#386	C₂²×C₁₁	1	2	yes	—
531	#386	C₂²×C₁₁	1	2	yes	—
532	#386	C₂²×C₁₁	1	2	yes	—
533	#385	C₂²×C₁₁	1	2	yes	—
534	#385	C₂²×C₁₁	1	2	yes	—
535	#385	C₂²×C₁₁	1	2	yes	—
536	#385	C₂²×C₁₁	1	2	yes	—
537	#384	C₂²×C₁₁	1	1	yes	characteristic
538	#383	C₂²×C₁₁	1	2	yes	—
539	#383	C₂²×C₁₁	1	2	yes	—
540	#382	C₂²×C₁₁	1	1	yes	characteristic
541	#382	C₂²×C₁₁	1	1	yes	characteristic
542	#381	C₂²×C₁₁	1	2	yes	—
543	#380	C₂²×C₁₁	1	2	yes	—
544	#380	C₂²×C₁₁	1	2	yes	—
545	#380	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×C₄⋊C₄	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	1	yes	characteristic
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×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
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	2	yes	—
562	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
563	#376	C₂²×C₁₁	1	2	yes	—
564	C₂×#95	C₂²×C₁₁	1	1	yes	characteristic
565	C₂×#95	C₂²×C₁₁	1	1	yes	characteristic
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	—	4	2	no	—
573	C₂²×C₁₁	—	4	2	no	—
574	C₂²×C₁₁	—	4	2	no	—
575	C₂²×C₁₁	—	4	2	no	—
576	C₂²×C₁₁	—	4	2	no	—
577	C₂²×C₁₁	—	4	2	no	—
578	C₂²×C₁₁	—	4	2	no	—
579	C₂²×C₁₁	#556	1	4	yes	—
580	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
581	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
582	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
583	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
584	C₂²×C₁₁	C₂×H(5,𝔽₂)	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	2	no	—
591	C₄×C₁₁	—	2	2	no	—
592	C₄×C₁₁	—	2	2	no	—
593	C₄×C₁₁	—	2	2	no	—
594	C₄×C₁₁	—	2	2	no	—
595	C₄×C₁₁	—	4	2	no	—
596	C₄×C₁₁	—	4	2	no	—
597	C₄×C₁₁	—	4	2	no	—
598	C₄×C₁₁	—	4	2	no	—
599	C₄×C₁₁	—	4	2	no	—
600	C₄×C₁₁	—	4	2	no	—
601	C₄×C₁₁	—	4	1	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	#553	1	4	yes	—
608	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
609	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
610	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
611	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
612	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
613	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
614	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
615	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
616	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
617	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
618	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
619	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
620	C₄⋊Q₈	—	4	2	no	—
621	#126	—	2	8	no	—
622	#124	—	2	4	no	—
623	#124	—	4	2	no	—
624	C₂²⋊Q₈	—	2	4	no	—
625	C₂²⋊Q₈	—	2	4	no	—
626	#121	—	2	4	no	—
627	C₄×Q₈	—	2	4	no	—
628	C₄×Q₈	—	4	2	no	—
629	C₄×D₄	—	2	8	no	—
630	C₄×D₄	—	4	2	no	—
631	C₂×C₄⋊C₄	—	2	4	no	—
632	C₂×C₄⋊C₄	—	2	4	no	—
633	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
635	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
642	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
644	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
648	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
649	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
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	2	yes	—
656	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
657	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
658	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
659	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
660	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
661	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
662	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
663	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
664	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
665	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
671	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
672	C₂×C₄²	—	2	4	no	—
673	C₂×C₄²	—	4	2	no	—
674	C₂×C₄²	—	4	2	no	—
675	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
676	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
677	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
678	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
679	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
688	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
689	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
690	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
691	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
692	#95	C₂³×C₁₁	1	1	yes	characteristic
693	#95	C₂³×C₁₁	1	1	yes	characteristic
694	#95	C₂³×C₁₁	1	1	yes	characteristic
695	#95	C₂³×C₁₁	1	1	yes	characteristic
696	#95	C₂³×C₁₁	1	1	yes	characteristic
697	#95	C₂³×C₁₁	1	1	yes	characteristic
698	#95	C₂³×C₁₁	1	1	yes	characteristic
699	#95	C₂³×C₁₁	1	1	yes	characteristic
700	#95	C₂³×C₁₁	1	2	yes	—
701	#95	C₂³×C₁₁	1	2	yes	—
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	#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	2	yes	—
714	#95	C₂³×C₁₁	1	2	yes	—
715	#95	C₂³×C₁₁	1	2	yes	—
716	#95	C₂³×C₁₁	1	2	yes	—
717	#95	C₂³×C₁₁	1	2	yes	—
718	#95	C₂³×C₁₁	1	2	yes	—
719	#95	C₂³×C₁₁	1	2	yes	—
720	#95	C₂³×C₁₁	1	2	yes	—
721	#95	C₂³×C₁₁	1	2	yes	—
722	#95	C₂³×C₁₁	1	2	yes	—
723	C₂×C₁₁	—	2	4	no	—
724	C₂×C₁₁	—	8	2	no	—
725	C₂×C₁₁	#3444	1	1	yes	characteristic
726	C₂×C₁₁	C₂×#553	1	1	yes	characteristic
727	C₂×C₁₁	C₂×#556	1	1	yes	characteristic
728	C₂×C₁₁	#3480	1	1	yes	characteristic
729	C₂×C₁₁	#3495	1	1	yes	characteristic
730	C₂×C₁₁	#3505	1	1	yes	characteristic
731	C₂×C₁₁	#3520	1	1	yes	characteristic
732	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
733	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
734	C₂×Q₈	—	2	2	no	—
735	C₂×Q₈	—	2	2	no	—
736	C₂×Q₈	—	2	2	no	—
737	C₂×Q₈	—	2	2	no	—
738	C₂×Q₈	—	2	2	no	—
739	C₂×Q₈	—	2	2	no	—
740	C₂×D₄	—	2	4	no	—
741	C₂×D₄	—	2	4	no	—
742	C₂×D₄	—	2	4	no	—
743	C₂×D₄	—	2	2	no	—
744	C₂×D₄	—	2	2	no	—
745	C₂×D₄	—	2	2	no	—
746	C₂²×C₄	—	2	2	no	—
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	2	no	—
754	C₂²×C₄	—	2	2	no	—
755	C₂²×C₄	—	2	2	no	—
756	C₂²×C₄	—	2	2	no	—
757	C₂²×C₄	—	2	2	no	—
758	C₂²×C₄	—	2	4	no	—
759	C₂²×C₄	—	4	1	no	—
760	C₂²×C₄	—	4	1	no	—
761	C₂²×C₄	—	4	1	no	—
762	C₂²×C₄	—	4	1	no	—
763	C₂²×C₄	—	4	1	no	—
764	C₂²×C₄	—	4	1	no	—
765	C₂²×C₄	—	4	1	no	—
766	C₂²×C₄	—	4	2	no	—
767	C₂²×C₄	—	4	2	no	—
768	C₂²×C₄	C₁₁×#41	1	4	yes	—
769	C₂²×C₄	C₁₁×#41	1	4	yes	—
770	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
771	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
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	2	yes	—
776	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
777	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
778	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
779	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
780	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
781	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
782	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
783	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
784	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
785	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
786	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
787	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
788	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
789	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
790	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
791	C₄⋊C₄	—	2	2	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	—	2	2	no	—
797	C₄⋊C₄	—	2	2	no	—
798	C₄⋊C₄	—	2	4	no	—
799	C₄⋊C₄	—	2	2	no	—
800	C₄⋊C₄	—	2	4	no	—
801	C₄⋊C₄	—	2	2	no	—
802	C₄⋊C₄	—	2	2	no	—
803	C₄⋊C₄	—	2	2	no	—
804	C₄⋊C₄	—	2	4	no	—
805	C₄⋊C₄	—	2	4	no	—
806	C₄⋊C₄	—	2	4	no	—
807	C₄⋊C₄	—	2	4	no	—
808	C₄⋊C₄	—	2	2	no	—
809	C₄⋊C₄	—	4	2	no	—
810	C₄⋊C₄	—	4	2	no	—
811	C₄⋊C₄	—	4	2	no	—
812	C₄⋊C₄	—	4	2	no	—
813	C₄⋊C₄	—	4	2	no	—
814	C₄⋊C₄	C₁₁×#41	1	4	yes	—
815	C₂²⋊C₄	—	2	4	no	—
816	C₂²⋊C₄	—	2	4	no	—
817	C₂²⋊C₄	—	2	4	no	—
818	C₂²⋊C₄	—	2	4	no	—
819	C₂²⋊C₄	—	2	4	no	—
820	C₂²⋊C₄	—	2	4	no	—
821	C₂²⋊C₄	—	2	4	no	—
822	C₂²⋊C₄	—	2	4	no	—
823	C₂²⋊C₄	—	2	4	no	—
824	C₂²⋊C₄	—	2	4	no	—
825	C₂²⋊C₄	—	4	2	no	—
826	C₂²⋊C₄	—	4	2	no	—
827	C₂²⋊C₄	—	4	2	no	—
828	C₂²⋊C₄	—	4	2	no	—
829	C₂²⋊C₄	—	4	2	no	—
830	C₄²	—	2	2	no	—
831	C₄²	—	2	2	no	—
832	C₄²	—	2	2	no	—
833	C₄²	—	2	4	no	—
834	C₄²	—	2	4	no	—
835	C₄²	—	2	4	no	—
836	C₄²	—	2	2	no	—
837	C₄²	—	2	2	no	—
838	C₄²	—	2	2	no	—
839	C₄²	—	2	2	no	—
840	C₄²	—	4	1	no	—
841	C₄²	—	4	1	no	—
842	C₄²	—	4	1	no	—
843	C₄²	—	4	1	no	—
844	C₄²	—	4	2	no	—
845	C₄²	—	4	2	no	—
846	C₄²	C₁₁×#41	1	4	yes	—
847	C₁₁	#36605	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	2	no	—
853	C₂³	—	2	2	no	—
854	C₂³	—	2	2	no	—
855	C₂³	—	2	2	no	—
856	C₂³	—	2	2	no	—
857	C₂³	—	2	2	no	—
858	C₂³	—	2	2	no	—
859	C₂³	C₂×C₁₁×#41	1	2	yes	—
860	C₂³	C₂×C₁₁×#41	1	2	yes	—
861	C₂³	C₁₁×2₋¹⁺⁴	1	2	yes	—
862	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
863	Q₈	—	4	4	no	—
864	Q₈	—	4	4	no	—
865	D₄	—	4	8	no	—
866	D₄	—	4	4	no	—
867	C₂×C₄	—	2	8	no	—
868	C₂×C₄	—	2	1	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	1	no	—
873	C₂×C₄	—	2	1	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	1	no	—
880	C₂×C₄	—	2	1	no	—
881	C₂×C₄	—	2	1	no	—
882	C₂×C₄	—	2	1	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	8	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	2	no	—
887	C₂×C₄	—	2	2	no	—
888	C₂×C₄	—	2	2	no	—
889	C₂×C₄	—	2	2	no	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	2	no	—
892	C₂×C₄	—	2	2	no	—
893	C₂×C₄	—	2	2	no	—
894	C₂×C₄	—	2	2	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	2	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	1	no	—
905	C₂×C₄	—	2	1	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	2	no	—
910	C₂×C₄	—	2	2	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	1	no	—
914	C₂×C₄	—	2	2	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	1	no	—
918	C₂×C₄	—	2	1	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	1	no	—
921	C₂×C₄	—	4	4	no	—
922	C₂×C₄	—	4	4	no	—
923	C₂×C₄	—	4	4	no	—
924	C₂×C₄	—	4	4	no	—
925	C₂×C₄	—	4	4	no	—
926	C₂×C₄	—	8	4	no	—
927	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
928	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
929	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
930	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
931	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
932	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
933	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
934	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
935	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
936	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
937	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
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	—	4	2	no	—
945	C₂²	—	4	2	no	—
946	C₂²	—	4	2	no	—
947	C₂²	—	4	2	no	—
948	C₂²	—	4	2	no	—
949	C₂²	—	4	2	no	—
950	C₂²	—	4	2	no	—
951	C₂²	C₁₁×#556	1	4	yes	—
952	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
953	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
954	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
955	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
956	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
957	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
958	C₂²	C₁₁×#585	1	1	yes	characteristic
959	C₄	—	2	2	no	—
960	C₄	—	2	2	no	—
961	C₄	—	2	2	no	—
962	C₄	—	2	2	no	—
963	C₄	—	2	2	no	—
964	C₄	—	2	2	no	—
965	C₄	—	2	2	no	—
966	C₄	—	2	2	no	—
967	C₄	—	4	2	no	—
968	C₄	—	4	2	no	—
969	C₄	—	4	2	no	—
970	C₄	—	4	2	no	—
971	C₄	—	4	2	no	—
972	C₄	—	4	2	no	—
973	C₄	—	4	1	no	—
974	C₄	—	4	1	no	—
975	C₄	—	4	1	no	—
976	C₄	—	4	2	no	—
977	C₄	—	4	1	no	—
978	C₄	—	4	1	no	—
979	C₄	C₁₁×#553	1	4	yes	—
980	C₂	—	2	4	no	—
981	C₂	—	8	2	no	—
982	C₂	C₁₁×#3444	1	1	yes	characteristic
983	C₂	C₂×C₁₁×#553	1	1	yes	characteristic
984	C₂	C₂×C₁₁×#556	1	1	yes	characteristic
985	C₂	C₁₁×#3480	1	1	yes	characteristic
986	C₂	C₁₁×#3495	1	1	yes	characteristic
987	C₂	C₁₁×#3505	1	1	yes	characteristic
988	C₂	C₁₁×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂×C₁₁×#121	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#2857	C₂	semidirect
4. C₁₁×#2594	C₂	semidirect
5. C₁₁×#2579	C₂	semidirect
6. C₁₁×#2573	C₂	semidirect
7. C₁₁×#2570	C₂	semidirect
8. C₁₁×#2545	C₂	semidirect
9. C₁₁×#2525	C₂	semidirect
10. C₁₁×#2514	C₂	semidirect
11. C₁₁×#2512	C₂	semidirect
12. C₁₁×#2510	C₂	semidirect
13. C₁₁×#2481	C₂	semidirect
14. C₁₁×#2447	C₂	semidirect
15. C₁₁×#2446	C₂	semidirect
16. C₁₁×#2373	C₂	semidirect
17. C₁₁×#2367	C₂	semidirect
18. C₁₁×#2356	C₂	semidirect
19. C₁₁×#2353	C₂	semidirect
20. C₄×C₁₁×C₂²⋊Q₈	C₂	semidirect
21. C₄×C₁₁×C₂²⋊Q₈	C₂	semidirect
23. C₂×C₄×C₁₁×C₄⋊C₄	C₂	semidirect
238. #36605	C₁₁	direct (N × H)
354. #2857	C₂×C₁₁	semidirect
357. #2594	C₂×C₁₁	semidirect
358. #2579	C₂×C₁₁	semidirect
359. #2573	C₂×C₁₁	semidirect
360. #2570	C₂×C₁₁	semidirect
361. #2545	C₂×C₁₁	semidirect
362. #2525	C₂×C₁₁	semidirect
363. #2514	C₂×C₁₁	semidirect
364. #2512	C₂×C₁₁	semidirect
365. #2510	C₂×C₁₁	semidirect
366. #2481	C₂×C₁₁	semidirect
367. #2447	C₂×C₁₁	semidirect
368. #2446	C₂×C₁₁	semidirect
369. #2373	C₂×C₁₁	semidirect
370. #2367	C₂×C₁₁	semidirect
371. #2356	C₂×C₁₁	semidirect
372. #2353	C₂×C₁₁	semidirect
373. C₄×C₂²⋊Q₈	C₂×C₁₁	semidirect
374. C₄×C₂²⋊Q₈	C₂×C₁₁	semidirect
376. C₂×C₄×C₄⋊C₄	C₂×C₁₁	semidirect
847. C₁₁	#36605	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₁×#2857	2
C₁₁×#2850	2
C₁₁×#2594	2
C₁₁×#2579	2
C₁₁×#2573	2
C₁₁×#2570	2
C₁₁×#2545	2
C₁₁×#2525	2
C₁₁×#2514	2
C₁₁×#2512	2
C₁₁×#2510	2
C₁₁×#2481	2
C₁₁×#2447	2
C₁₁×#2446	2
C₁₁×#2373	2
C₁₁×#2367	2
C₁₁×#2356	2
C₁₁×#2353	2
C₄×C₁₁×C₂²⋊Q₈	2
C₄×C₁₁×#121	2
C₂×C₄×C₁₁×C₄⋊C₄	2
#36605	11

Subgroups — C11×#36605 #14613798

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36605 #14613798