Subgroups — C₁₁×#36589 #14613782

Order 2816.

1694 conjugacy classes of subgroups.

The subgroup lattice has 940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2860	C₂	1	2	yes	maximal, complemented
2	C₁₁×#2860	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#2597	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2596	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2593	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2573	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2525	C₂	1	2	yes	maximal, complemented
8	C₁₁×#2516	C₂	1	2	yes	maximal, complemented
9	C₁₁×#2509	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#2490	C₂	1	1	yes	maximal, characteristic
11	C₁₁×#2453	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2448	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2426	C₂	1	1	yes	maximal, characteristic
14	C₁₁×#2421	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2370	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2367	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2363	C₂	1	1	yes	maximal, characteristic
18	C₁₁×#2362	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#2357	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#2347	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₁×#126	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₁×#126	C₂	1	2	yes	maximal, complemented
23	C₄²×Q₈×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#126	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#126	C₂²	1	2	yes	—
26	C₂×C₁₁×#125	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×#121	C₂²	1	1	yes	characteristic
30	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
31	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
32	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
34	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
35	C₁₁×#400	C₂²	1	2	yes	—
36	C₁₁×#400	C₂²	1	2	yes	—
37	C₁₁×#400	C₂²	1	2	yes	—
38	C₁₁×#400	C₂²	1	2	yes	—
39	C₁₁×#399	C₂²	1	2	yes	—
40	C₁₁×#398	C₂²	1	2	yes	—
41	C₁₁×#397	C₂²	1	2	yes	—
42	C₁₁×#397	C₂²	1	2	yes	—
43	C₁₁×#397	C₂²	1	2	yes	—
44	C₁₁×#396	C₂²	1	2	yes	—
45	C₁₁×#394	C₂²	1	2	yes	—
46	C₁₁×#394	C₂²	1	2	yes	—
47	C₁₁×#391	C₂²	1	1	yes	characteristic
48	C₁₁×#391	C₂²	1	1	yes	characteristic
49	C₁₁×#390	C₂²	1	2	yes	—
50	C₁₁×#390	C₂²	1	1	yes	characteristic
51	C₁₁×#390	C₂²	1	1	yes	characteristic
52	C₁₁×#390	C₂²	1	1	yes	characteristic
53	C₁₁×#390	C₂²	1	2	yes	—
54	C₁₁×#390	C₂²	1	1	yes	characteristic
55	C₁₁×#390	C₂²	1	2	yes	—
56	C₁₁×#389	C₂²	1	1	yes	characteristic
57	C₁₁×#389	C₂²	1	1	yes	characteristic
58	C₁₁×#389	C₂²	1	1	yes	characteristic
59	C₁₁×#389	C₂²	1	1	yes	characteristic
60	C₁₁×#389	C₂²	1	2	yes	—
61	C₁₁×#389	C₂²	1	1	yes	characteristic
62	C₁₁×#389	C₂²	1	2	yes	—
63	C₁₁×#389	C₂²	1	1	yes	characteristic
64	C₁₁×#389	C₂²	1	2	yes	—
65	C₁₁×#388	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	1	yes	characteristic
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×#388	C₂²	1	2	yes	—
77	C₁₁×#388	C₂²	1	1	yes	characteristic
78	C₁₁×#388	C₂²	1	1	yes	characteristic
79	C₁₁×#388	C₂²	1	2	yes	—
80	C₁₁×#388	C₂²	1	2	yes	—
81	C₁₁×#388	C₂²	1	2	yes	—
82	C₁₁×#388	C₂²	1	2	yes	—
83	C₁₁×#388	C₂²	1	2	yes	—
84	C₁₁×#388	C₂²	1	2	yes	—
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	1	yes	characteristic
90	C₁₁×#387	C₂²	1	2	yes	—
91	C₁₁×#387	C₂²	1	1	yes	characteristic
92	C₁₁×#387	C₂²	1	1	yes	characteristic
93	C₁₁×#387	C₂²	1	2	yes	—
94	C₁₁×#386	C₂²	1	2	yes	—
95	C₁₁×#385	C₂²	1	2	yes	—
96	C₁₁×#383	C₂²	1	2	yes	—
97	C₁₁×#383	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	1	yes	characteristic
101	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
102	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
103	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
104	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
106	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
107	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
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	2	yes	—
112	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₄³×C₁₁	C₂²	1	2	yes	—
122	C₄³×C₁₁	C₂²	1	1	yes	characteristic
123	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
126	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
128	C₁₁×#126	—	2	4	no	—
129	C₁₁×#126	—	2	8	no	—
130	C₁₁×#125	—	2	4	no	—
131	C₁₁×#124	—	2	4	no	—
132	C₁₁×C₂²⋊Q₈	—	2	4	no	—
133	C₁₁×#121	—	2	4	no	—
134	C₄×Q₈×C₁₁	—	2	4	no	—
135	C₄×Q₈×C₁₁	—	2	4	no	—
136	C₄×Q₈×C₁₁	—	2	4	no	—
137	C₄×D₄×C₁₁	—	2	4	no	—
138	C₁₁×#117	—	2	4	no	—
139	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
140	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
145	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
146	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
147	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
148	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
150	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
154	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
155	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
156	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
157	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
162	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
167	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
168	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
176	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
185	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
186	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
187	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
188	C₂×C₄²×C₁₁	C₂³	1	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	1	yes	characteristic
193	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
194	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
195	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
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	2	yes	—
201	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
203	C₁₁×#95	C₂³	1	1	yes	characteristic
204	C₁₁×#95	C₂³	1	1	yes	characteristic
205	C₁₁×#95	C₂³	1	1	yes	characteristic
206	C₁₁×#95	C₂³	1	1	yes	characteristic
207	C₁₁×#95	C₂³	1	1	yes	characteristic
208	C₁₁×#95	C₂³	1	2	yes	—
209	C₁₁×#95	C₂³	1	1	yes	characteristic
210	C₁₁×#95	C₂³	1	2	yes	—
211	C₁₁×#95	C₂³	1	2	yes	—
212	C₁₁×#95	C₂³	1	1	yes	characteristic
213	C₁₁×#95	C₂³	1	1	yes	characteristic
214	C₁₁×#95	C₂³	1	2	yes	—
215	C₁₁×#95	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
220	C₁₁×#95	C₂³	1	2	yes	—
221	C₁₁×#95	C₂³	1	2	yes	—
222	C₁₁×#95	C₂³	1	1	yes	characteristic
223	C₁₁×#95	C₂³	1	2	yes	—
224	C₁₁×#95	C₂³	1	1	yes	characteristic
225	C₁₁×#95	C₂³	1	2	yes	—
226	C₁₁×#95	C₂³	1	2	yes	—
227	C₁₁×#95	C₂³	1	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	#36589	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
234	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
235	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
236	C₂×Q₈×C₁₁	—	2	2	no	—
237	C₂×Q₈×C₁₁	—	2	2	no	—
238	C₂×Q₈×C₁₁	#41	1	4	yes	—
239	C₂×D₄×C₁₁	—	2	2	no	—
240	C₂×D₄×C₁₁	—	2	2	no	—
241	C₂×D₄×C₁₁	—	2	2	no	—
242	C₂×D₄×C₁₁	—	2	4	no	—
243	C₂×D₄×C₁₁	—	4	2	no	—
244	C₂×D₄×C₁₁	—	4	2	no	—
245	C₂²×C₄×C₁₁	—	2	2	no	—
246	C₂²×C₄×C₁₁	—	2	2	no	—
247	C₂²×C₄×C₁₁	—	2	2	no	—
248	C₂²×C₄×C₁₁	—	2	4	no	—
249	C₂²×C₄×C₁₁	—	4	2	no	—
250	C₂²×C₄×C₁₁	—	4	2	no	—
251	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
252	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
253	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
254	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
255	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
256	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
257	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
258	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
259	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
260	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
261	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
262	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
263	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
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	1	yes	characteristic
270	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
271	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
272	C₁₁×C₄⋊C₄	—	2	2	no	—
273	C₁₁×C₄⋊C₄	—	2	4	no	—
274	C₁₁×C₄⋊C₄	—	2	4	no	—
275	C₁₁×C₄⋊C₄	—	2	4	no	—
276	C₁₁×C₄⋊C₄	—	2	2	no	—
277	C₁₁×C₄⋊C₄	—	2	2	no	—
278	C₁₁×C₄⋊C₄	—	2	4	no	—
279	C₁₁×C₄⋊C₄	—	2	4	no	—
280	C₁₁×C₄⋊C₄	—	2	4	no	—
281	C₁₁×C₄⋊C₄	—	2	2	no	—
282	C₁₁×C₄⋊C₄	—	2	2	no	—
283	C₁₁×C₄⋊C₄	—	2	2	no	—
284	C₁₁×C₄⋊C₄	—	2	2	no	—
285	C₁₁×C₄⋊C₄	—	2	4	no	—
286	C₁₁×C₄⋊C₄	—	2	4	no	—
287	C₁₁×C₄⋊C₄	—	2	4	no	—
288	C₁₁×C₄⋊C₄	—	4	2	no	—
289	C₁₁×C₄⋊C₄	—	4	2	no	—
290	C₁₁×C₄⋊C₄	—	4	1	no	—
291	C₁₁×C₄⋊C₄	—	4	1	no	—
292	C₁₁×C₄⋊C₄	—	4	2	no	—
293	C₁₁×C₄⋊C₄	—	4	1	no	—
294	C₁₁×C₄⋊C₄	#41	1	4	yes	—
295	C₁₁×C₄⋊C₄	#41	1	4	yes	—
296	C₁₁×C₂²⋊C₄	—	2	4	no	—
297	C₁₁×C₂²⋊C₄	—	2	4	no	—
298	C₁₁×C₂²⋊C₄	—	2	4	no	—
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	2	no	—
303	C₁₁×C₂²⋊C₄	—	2	2	no	—
304	C₁₁×C₂²⋊C₄	—	2	2	no	—
305	C₁₁×C₂²⋊C₄	—	2	4	no	—
306	C₁₁×C₂²⋊C₄	—	2	4	no	—
307	C₁₁×C₂²⋊C₄	—	2	4	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	—	4	2	no	—
312	C₁₁×C₂²⋊C₄	—	4	2	no	—
313	C₁₁×C₂²⋊C₄	—	4	2	no	—
314	C₁₁×C₂²⋊C₄	—	4	2	no	—
315	C₁₁×C₂²⋊C₄	—	4	1	no	—
316	C₁₁×C₂²⋊C₄	—	4	1	no	—
317	C₄²×C₁₁	—	2	4	no	—
318	C₄²×C₁₁	—	2	2	no	—
319	C₄²×C₁₁	—	2	4	no	—
320	C₄²×C₁₁	—	2	4	no	—
321	C₄²×C₁₁	—	2	4	no	—
322	C₄²×C₁₁	—	2	2	no	—
323	C₄²×C₁₁	—	2	2	no	—
324	C₄²×C₁₁	—	2	2	no	—
325	C₄²×C₁₁	—	2	2	no	—
326	C₄²×C₁₁	—	2	2	no	—
327	C₄²×C₁₁	—	4	2	no	—
328	C₄²×C₁₁	—	4	2	no	—
329	C₄²×C₁₁	—	4	2	no	—
330	C₄²×C₁₁	—	4	1	no	—
331	C₄²×C₁₁	—	4	1	no	—
332	C₄²×C₁₁	—	4	1	no	—
333	C₄²×C₁₁	—	4	2	no	—
334	C₄²×C₁₁	—	4	2	no	—
335	C₄²×C₁₁	#41	1	4	yes	—
336	#2860	C₂×C₁₁	1	1	yes	characteristic, complemented
337	#2860	C₂×C₁₁	1	2	yes	complemented
338	#2597	C₂×C₁₁	1	2	yes	complemented
339	#2596	C₂×C₁₁	1	2	yes	complemented
340	#2593	C₂×C₁₁	1	2	yes	complemented
341	#2573	C₂×C₁₁	1	2	yes	complemented
342	#2525	C₂×C₁₁	1	2	yes	complemented
343	#2516	C₂×C₁₁	1	2	yes	complemented
344	#2509	C₂×C₁₁	1	1	yes	characteristic, complemented
345	#2490	C₂×C₁₁	1	1	yes	characteristic
346	#2453	C₂×C₁₁	1	1	yes	characteristic, complemented
347	#2448	C₂×C₁₁	1	1	yes	characteristic, complemented
348	#2426	C₂×C₁₁	1	1	yes	characteristic
349	#2421	C₂×C₁₁	1	1	yes	characteristic, complemented
350	#2370	C₂×C₁₁	1	1	yes	characteristic, complemented
351	#2367	C₂×C₁₁	1	1	yes	characteristic, complemented
352	#2363	C₂×C₁₁	1	1	yes	characteristic
353	#2362	C₂×C₁₁	1	1	yes	characteristic, complemented
354	#2357	C₂×C₁₁	1	1	yes	characteristic, complemented
355	#2347	C₂×C₁₁	1	1	yes	characteristic, complemented
356	C₄×#126	C₂×C₁₁	1	2	yes	complemented
357	C₄×#126	C₂×C₁₁	1	1	yes	characteristic, complemented
358	C₄²×Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
359	C₂³×C₁₁	—	2	1	no	—
360	C₂³×C₁₁	—	2	2	no	—
361	C₂³×C₁₁	—	2	1	no	—
362	C₂³×C₁₁	—	2	1	no	—
363	C₂³×C₁₁	—	2	2	no	—
364	C₂³×C₁₁	—	2	2	no	—
365	C₂³×C₁₁	—	2	2	no	—
366	C₂³×C₁₁	—	2	1	no	—
367	C₂³×C₁₁	—	2	1	no	—
368	C₂³×C₁₁	—	2	2	no	—
369	C₂³×C₁₁	—	2	2	no	—
370	C₂³×C₁₁	—	2	2	no	—
371	C₂³×C₁₁	—	2	1	no	—
372	C₂³×C₁₁	—	2	1	no	—
373	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
374	Q₈×C₁₁	—	2	8	no	—
375	D₄×C₁₁	—	4	4	no	—
376	D₄×C₁₁	—	8	4	no	—
377	C₂×C₄×C₁₁	—	2	1	no	—
378	C₂×C₄×C₁₁	—	2	1	no	—
379	C₂×C₄×C₁₁	—	2	1	no	—
380	C₂×C₄×C₁₁	—	2	2	no	—
381	C₂×C₄×C₁₁	—	2	2	no	—
382	C₂×C₄×C₁₁	—	2	1	no	—
383	C₂×C₄×C₁₁	—	2	1	no	—
384	C₂×C₄×C₁₁	—	2	1	no	—
385	C₂×C₄×C₁₁	—	2	2	no	—
386	C₂×C₄×C₁₁	—	2	2	no	—
387	C₂×C₄×C₁₁	—	2	2	no	—
388	C₂×C₄×C₁₁	—	2	2	no	—
389	C₂×C₄×C₁₁	—	2	1	no	—
390	C₂×C₄×C₁₁	—	2	1	no	—
391	C₂×C₄×C₁₁	—	2	1	no	—
392	C₂×C₄×C₁₁	—	2	1	no	—
393	C₂×C₄×C₁₁	—	2	2	no	—
394	C₂×C₄×C₁₁	—	2	1	no	—
395	C₂×C₄×C₁₁	—	2	1	no	—
396	C₂×C₄×C₁₁	—	2	1	no	—
397	C₂×C₄×C₁₁	—	2	1	no	—
398	C₂×C₄×C₁₁	—	2	2	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	2	no	—
403	C₂×C₄×C₁₁	—	2	1	no	—
404	C₂×C₄×C₁₁	—	2	1	no	—
405	C₂×C₄×C₁₁	—	2	2	no	—
406	C₂×C₄×C₁₁	—	2	1	no	—
407	C₂×C₄×C₁₁	—	2	2	no	—
408	C₂×C₄×C₁₁	—	2	2	no	—
409	C₂×C₄×C₁₁	—	2	2	no	—
410	C₂×C₄×C₁₁	—	2	1	no	—
411	C₂×C₄×C₁₁	—	2	1	no	—
412	C₂×C₄×C₁₁	—	2	1	no	—
413	C₂×C₄×C₁₁	—	2	2	no	—
414	C₂×C₄×C₁₁	—	2	1	no	—
415	C₂×C₄×C₁₁	—	2	1	no	—
416	C₂×C₄×C₁₁	—	2	2	no	—
417	C₂×C₄×C₁₁	—	2	1	no	—
418	C₂×C₄×C₁₁	—	2	2	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	2	no	—
423	C₂×C₄×C₁₁	—	2	1	no	—
424	C₂×C₄×C₁₁	—	2	1	no	—
425	C₂×C₄×C₁₁	—	2	2	no	—
426	C₂×C₄×C₁₁	—	2	1	no	—
427	C₂×C₄×C₁₁	—	2	1	no	—
428	C₂×C₄×C₁₁	—	2	1	no	—
429	C₂×C₄×C₁₁	—	2	1	no	—
430	C₂×C₄×C₁₁	—	2	1	no	—
431	C₂×C₄×C₁₁	—	4	4	no	—
432	C₂×C₄×C₁₁	—	8	4	no	—
433	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
434	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
435	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
436	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
437	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
438	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
439	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
440	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
441	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
442	C₂×#126	C₂²×C₁₁	1	2	yes	—
443	C₂×#126	C₂²×C₁₁	1	1	yes	characteristic
444	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
445	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
446	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
447	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
448	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
449	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
450	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
451	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
452	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
453	#400	C₂²×C₁₁	1	2	yes	—
454	#400	C₂²×C₁₁	1	2	yes	—
455	#400	C₂²×C₁₁	1	2	yes	—
456	#400	C₂²×C₁₁	1	2	yes	—
457	#399	C₂²×C₁₁	1	2	yes	—
458	#398	C₂²×C₁₁	1	2	yes	—
459	#397	C₂²×C₁₁	1	2	yes	—
460	#397	C₂²×C₁₁	1	2	yes	—
461	#397	C₂²×C₁₁	1	2	yes	—
462	#396	C₂²×C₁₁	1	2	yes	—
463	#394	C₂²×C₁₁	1	2	yes	—
464	#394	C₂²×C₁₁	1	2	yes	—
465	#391	C₂²×C₁₁	1	1	yes	characteristic
466	#391	C₂²×C₁₁	1	1	yes	characteristic
467	#390	C₂²×C₁₁	1	2	yes	—
468	#390	C₂²×C₁₁	1	2	yes	—
469	#390	C₂²×C₁₁	1	1	yes	characteristic
470	#390	C₂²×C₁₁	1	1	yes	characteristic
471	#390	C₂²×C₁₁	1	1	yes	characteristic
472	#390	C₂²×C₁₁	1	2	yes	—
473	#390	C₂²×C₁₁	1	1	yes	characteristic
474	#389	C₂²×C₁₁	1	2	yes	—
475	#389	C₂²×C₁₁	1	2	yes	—
476	#389	C₂²×C₁₁	1	1	yes	characteristic
477	#389	C₂²×C₁₁	1	1	yes	characteristic
478	#389	C₂²×C₁₁	1	1	yes	characteristic
479	#389	C₂²×C₁₁	1	1	yes	characteristic
480	#389	C₂²×C₁₁	1	2	yes	—
481	#389	C₂²×C₁₁	1	1	yes	characteristic
482	#389	C₂²×C₁₁	1	1	yes	characteristic
483	#388	C₂²×C₁₁	1	1	yes	characteristic
484	#388	C₂²×C₁₁	1	2	yes	—
485	#388	C₂²×C₁₁	1	2	yes	—
486	#388	C₂²×C₁₁	1	1	yes	characteristic
487	#388	C₂²×C₁₁	1	2	yes	—
488	#388	C₂²×C₁₁	1	1	yes	characteristic
489	#388	C₂²×C₁₁	1	2	yes	—
490	#388	C₂²×C₁₁	1	2	yes	—
491	#388	C₂²×C₁₁	1	2	yes	—
492	#388	C₂²×C₁₁	1	2	yes	—
493	#388	C₂²×C₁₁	1	2	yes	—
494	#388	C₂²×C₁₁	1	2	yes	—
495	#388	C₂²×C₁₁	1	2	yes	—
496	#388	C₂²×C₁₁	1	2	yes	—
497	#388	C₂²×C₁₁	1	2	yes	—
498	#388	C₂²×C₁₁	1	2	yes	—
499	#388	C₂²×C₁₁	1	2	yes	—
500	#388	C₂²×C₁₁	1	2	yes	—
501	#388	C₂²×C₁₁	1	2	yes	—
502	#388	C₂²×C₁₁	1	2	yes	—
503	#387	C₂²×C₁₁	1	1	yes	characteristic
504	#387	C₂²×C₁₁	1	2	yes	—
505	#387	C₂²×C₁₁	1	1	yes	characteristic
506	#387	C₂²×C₁₁	1	2	yes	—
507	#387	C₂²×C₁₁	1	2	yes	—
508	#387	C₂²×C₁₁	1	1	yes	characteristic
509	#387	C₂²×C₁₁	1	2	yes	—
510	#387	C₂²×C₁₁	1	2	yes	—
511	#387	C₂²×C₁₁	1	2	yes	—
512	#386	C₂²×C₁₁	1	2	yes	—
513	#385	C₂²×C₁₁	1	2	yes	—
514	#383	C₂²×C₁₁	1	1	yes	characteristic
515	#383	C₂²×C₁₁	1	2	yes	—
516	#382	C₂²×C₁₁	1	1	yes	characteristic
517	#381	C₂²×C₁₁	1	2	yes	—
518	#380	C₂²×C₁₁	1	1	yes	characteristic
519	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
520	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
521	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
522	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
523	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
524	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
525	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
526	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
527	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
528	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
529	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
530	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
531	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
532	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
533	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
534	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
535	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
536	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
537	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
538	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
539	C₄³	C₂²×C₁₁	1	2	yes	—
540	C₄³	C₂²×C₁₁	1	1	yes	characteristic
541	C₂²×C₁₁	—	4	1	no	—
542	C₂²×C₁₁	—	4	2	no	—
543	C₂²×C₁₁	—	4	1	no	—
544	C₂²×C₁₁	—	4	1	no	—
545	C₂²×C₁₁	—	4	2	no	—
546	C₂²×C₁₁	—	4	2	no	—
547	C₂²×C₁₁	—	4	2	no	—
548	C₂²×C₁₁	—	4	1	no	—
549	C₂²×C₁₁	—	4	2	no	—
550	C₂²×C₁₁	—	4	1	no	—
551	C₂²×C₁₁	—	4	2	no	—
552	C₂²×C₁₁	—	4	1	no	—
553	C₂²×C₁₁	—	4	1	no	—
554	C₂²×C₁₁	—	4	2	no	—
555	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
556	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
557	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
558	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
559	C₂²×C₁₁	#585	1	1	yes	characteristic
560	C₂²×C₁₁	#585	1	1	yes	characteristic
561	C₂²×C₁₁	#585	1	1	yes	characteristic
562	C₄×C₁₁	—	2	4	no	—
563	C₄×C₁₁	—	2	2	no	—
564	C₄×C₁₁	—	2	2	no	—
565	C₄×C₁₁	—	2	2	no	—
566	C₄×C₁₁	—	2	4	no	—
567	C₄×C₁₁	—	2	4	no	—
568	C₄×C₁₁	—	4	1	no	—
569	C₄×C₁₁	—	4	1	no	—
570	C₄×C₁₁	—	4	1	no	—
571	C₄×C₁₁	—	4	2	no	—
572	C₄×C₁₁	—	4	1	no	—
573	C₄×C₁₁	—	4	2	no	—
574	C₄×C₁₁	—	4	2	no	—
575	C₄×C₁₁	—	4	1	no	—
576	C₄×C₁₁	—	4	1	no	—
577	C₄×C₁₁	—	4	1	no	—
578	C₄×C₁₁	—	4	1	no	—
579	C₄×C₁₁	—	4	1	no	—
580	C₄×C₁₁	—	4	2	no	—
581	C₄×C₁₁	—	4	1	no	—
582	C₄×C₁₁	#529	1	4	yes	—
583	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
584	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
585	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
586	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
587	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
588	#126	—	2	8	no	—
589	#126	—	2	4	no	—
590	#125	—	2	4	no	—
591	#124	—	2	4	no	—
592	C₂²⋊Q₈	—	2	4	no	—
593	#121	—	2	4	no	—
594	C₄×Q₈	—	2	4	no	—
595	C₄×Q₈	—	2	4	no	—
596	C₄×Q₈	—	2	4	no	—
597	C₄×D₄	—	2	4	no	—
598	#117	—	2	4	no	—
599	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
600	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
601	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
602	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
603	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
604	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
605	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
606	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
608	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
609	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
610	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
611	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
613	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
615	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
616	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
617	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
618	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
619	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
620	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
621	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
622	C₂×C₄⋊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	2	yes	—
629	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
630	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
631	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
632	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
633	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
634	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
635	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
636	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
637	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
638	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
639	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
640	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
641	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
642	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
643	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
644	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
645	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
646	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
647	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
648	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
649	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
650	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
651	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
652	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
653	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
654	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
655	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
656	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
657	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
658	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
659	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
660	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
661	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
662	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
663	#95	C₂³×C₁₁	1	1	yes	characteristic
664	#95	C₂³×C₁₁	1	1	yes	characteristic
665	#95	C₂³×C₁₁	1	1	yes	characteristic
666	#95	C₂³×C₁₁	1	1	yes	characteristic
667	#95	C₂³×C₁₁	1	1	yes	characteristic
668	#95	C₂³×C₁₁	1	2	yes	—
669	#95	C₂³×C₁₁	1	1	yes	characteristic
670	#95	C₂³×C₁₁	1	2	yes	—
671	#95	C₂³×C₁₁	1	2	yes	—
672	#95	C₂³×C₁₁	1	1	yes	characteristic
673	#95	C₂³×C₁₁	1	1	yes	characteristic
674	#95	C₂³×C₁₁	1	2	yes	—
675	#95	C₂³×C₁₁	1	1	yes	characteristic
676	#95	C₂³×C₁₁	1	2	yes	—
677	#95	C₂³×C₁₁	1	2	yes	—
678	#95	C₂³×C₁₁	1	2	yes	—
679	#95	C₂³×C₁₁	1	1	yes	characteristic
680	#95	C₂³×C₁₁	1	2	yes	—
681	#95	C₂³×C₁₁	1	2	yes	—
682	#95	C₂³×C₁₁	1	1	yes	characteristic
683	#95	C₂³×C₁₁	1	2	yes	—
684	#95	C₂³×C₁₁	1	1	yes	characteristic
685	#95	C₂³×C₁₁	1	2	yes	—
686	#95	C₂³×C₁₁	1	2	yes	—
687	#95	C₂³×C₁₁	1	2	yes	—
688	#95	C₂³×C₁₁	1	2	yes	—
689	#95	C₂³×C₁₁	1	2	yes	—
690	#95	C₂³×C₁₁	1	2	yes	—
691	#95	C₂³×C₁₁	1	2	yes	—
692	#95	C₂³×C₁₁	1	2	yes	—
693	C₂×C₁₁	—	8	1	no	—
694	C₂×C₁₁	—	8	2	no	—
695	C₂×C₁₁	C₂×#529	1	1	yes	characteristic
696	C₂×C₁₁	#3480	1	1	yes	characteristic
697	C₂×C₁₁	#3480	1	1	yes	characteristic
698	C₂×C₁₁	#3480	1	1	yes	characteristic
699	C₂×C₁₁	#3521	1	1	yes	characteristic
700	C₂×C₁₁	#3521	1	1	yes	characteristic
701	C₂×C₁₁	#3524	1	1	yes	characteristic
702	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
703	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
704	C₂×Q₈	—	2	2	no	—
705	C₂×Q₈	—	2	2	no	—
706	C₂×Q₈	C₁₁×#41	1	4	yes	—
707	C₂×D₄	—	2	2	no	—
708	C₂×D₄	—	2	2	no	—
709	C₂×D₄	—	2	2	no	—
710	C₂×D₄	—	2	4	no	—
711	C₂×D₄	—	4	2	no	—
712	C₂×D₄	—	4	2	no	—
713	C₂²×C₄	—	2	2	no	—
714	C₂²×C₄	—	2	2	no	—
715	C₂²×C₄	—	2	2	no	—
716	C₂²×C₄	—	2	4	no	—
717	C₂²×C₄	—	4	2	no	—
718	C₂²×C₄	—	4	2	no	—
719	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
720	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
721	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
722	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
723	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
724	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
725	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
726	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
727	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
728	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
729	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
730	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
731	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
732	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
733	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
734	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
735	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
736	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
737	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
738	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
739	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
740	C₄⋊C₄	—	2	2	no	—
741	C₄⋊C₄	—	2	4	no	—
742	C₄⋊C₄	—	2	4	no	—
743	C₄⋊C₄	—	2	4	no	—
744	C₄⋊C₄	—	2	2	no	—
745	C₄⋊C₄	—	2	2	no	—
746	C₄⋊C₄	—	2	4	no	—
747	C₄⋊C₄	—	2	4	no	—
748	C₄⋊C₄	—	2	4	no	—
749	C₄⋊C₄	—	2	2	no	—
750	C₄⋊C₄	—	2	4	no	—
751	C₄⋊C₄	—	2	4	no	—
752	C₄⋊C₄	—	2	2	no	—
753	C₄⋊C₄	—	2	4	no	—
754	C₄⋊C₄	—	2	2	no	—
755	C₄⋊C₄	—	2	2	no	—
756	C₄⋊C₄	—	4	2	no	—
757	C₄⋊C₄	—	4	2	no	—
758	C₄⋊C₄	—	4	1	no	—
759	C₄⋊C₄	—	4	1	no	—
760	C₄⋊C₄	—	4	2	no	—
761	C₄⋊C₄	—	4	1	no	—
762	C₄⋊C₄	C₁₁×#41	1	4	yes	—
763	C₄⋊C₄	C₁₁×#41	1	4	yes	—
764	C₂²⋊C₄	—	2	4	no	—
765	C₂²⋊C₄	—	2	4	no	—
766	C₂²⋊C₄	—	2	4	no	—
767	C₂²⋊C₄	—	2	4	no	—
768	C₂²⋊C₄	—	2	4	no	—
769	C₂²⋊C₄	—	2	4	no	—
770	C₂²⋊C₄	—	2	4	no	—
771	C₂²⋊C₄	—	2	4	no	—
772	C₂²⋊C₄	—	2	2	no	—
773	C₂²⋊C₄	—	2	2	no	—
774	C₂²⋊C₄	—	2	2	no	—
775	C₂²⋊C₄	—	2	4	no	—
776	C₂²⋊C₄	—	4	1	no	—
777	C₂²⋊C₄	—	4	2	no	—
778	C₂²⋊C₄	—	4	2	no	—
779	C₂²⋊C₄	—	4	2	no	—
780	C₂²⋊C₄	—	4	2	no	—
781	C₂²⋊C₄	—	4	2	no	—
782	C₂²⋊C₄	—	4	2	no	—
783	C₂²⋊C₄	—	4	1	no	—
784	C₂²⋊C₄	—	4	1	no	—
785	C₄²	—	2	4	no	—
786	C₄²	—	2	2	no	—
787	C₄²	—	2	4	no	—
788	C₄²	—	2	4	no	—
789	C₄²	—	2	4	no	—
790	C₄²	—	2	2	no	—
791	C₄²	—	2	2	no	—
792	C₄²	—	2	2	no	—
793	C₄²	—	2	2	no	—
794	C₄²	—	2	2	no	—
795	C₄²	—	4	2	no	—
796	C₄²	—	4	2	no	—
797	C₄²	—	4	2	no	—
798	C₄²	—	4	1	no	—
799	C₄²	—	4	1	no	—
800	C₄²	—	4	1	no	—
801	C₄²	—	4	2	no	—
802	C₄²	—	4	2	no	—
803	C₄²	C₁₁×#41	1	4	yes	—
804	C₁₁	#36589	1	1	yes	characteristic, direct product factor, Sylow
805	C₂³	—	2	1	no	—
806	C₂³	—	2	2	no	—
807	C₂³	—	2	1	no	—
808	C₂³	—	2	1	no	—
809	C₂³	—	2	2	no	—
810	C₂³	—	2	2	no	—
811	C₂³	—	2	2	no	—
812	C₂³	—	2	1	no	—
813	C₂³	—	2	1	no	—
814	C₂³	—	2	2	no	—
815	C₂³	—	2	2	no	—
816	C₂³	—	2	2	no	—
817	C₂³	—	2	1	no	—
818	C₂³	—	2	1	no	—
819	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
820	Q₈	—	2	8	no	—
821	D₄	—	4	4	no	—
822	D₄	—	8	4	no	—
823	C₂×C₄	—	2	1	no	—
824	C₂×C₄	—	2	1	no	—
825	C₂×C₄	—	2	1	no	—
826	C₂×C₄	—	2	2	no	—
827	C₂×C₄	—	2	2	no	—
828	C₂×C₄	—	2	1	no	—
829	C₂×C₄	—	2	1	no	—
830	C₂×C₄	—	2	1	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	1	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	2	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	1	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	2	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	2	no	—
849	C₂×C₄	—	2	1	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	2	no	—
852	C₂×C₄	—	2	1	no	—
853	C₂×C₄	—	2	2	no	—
854	C₂×C₄	—	2	2	no	—
855	C₂×C₄	—	2	2	no	—
856	C₂×C₄	—	2	1	no	—
857	C₂×C₄	—	2	1	no	—
858	C₂×C₄	—	2	1	no	—
859	C₂×C₄	—	2	2	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	2	2	no	—
863	C₂×C₄	—	2	1	no	—
864	C₂×C₄	—	2	2	no	—
865	C₂×C₄	—	2	1	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	1	no	—
868	C₂×C₄	—	2	2	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	2	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	—	4	4	no	—
878	C₂×C₄	—	8	4	no	—
879	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
880	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
881	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
882	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
883	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
884	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
885	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
886	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
887	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
888	C₂²	—	4	1	no	—
889	C₂²	—	4	2	no	—
890	C₂²	—	4	1	no	—
891	C₂²	—	4	1	no	—
892	C₂²	—	4	2	no	—
893	C₂²	—	4	2	no	—
894	C₂²	—	4	2	no	—
895	C₂²	—	4	1	no	—
896	C₂²	—	4	2	no	—
897	C₂²	—	4	1	no	—
898	C₂²	—	4	2	no	—
899	C₂²	—	4	1	no	—
900	C₂²	—	4	1	no	—
901	C₂²	—	4	2	no	—
902	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
903	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
904	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
905	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
906	C₂²	C₁₁×#585	1	1	yes	characteristic
907	C₂²	C₁₁×#585	1	1	yes	characteristic
908	C₂²	C₁₁×#585	1	1	yes	characteristic
909	C₄	—	2	4	no	—
910	C₄	—	2	2	no	—
911	C₄	—	2	2	no	—
912	C₄	—	2	2	no	—
913	C₄	—	2	4	no	—
914	C₄	—	2	4	no	—
915	C₄	—	4	1	no	—
916	C₄	—	4	1	no	—
917	C₄	—	4	1	no	—
918	C₄	—	4	2	no	—
919	C₄	—	4	1	no	—
920	C₄	—	4	2	no	—
921	C₄	—	4	2	no	—
922	C₄	—	4	1	no	—
923	C₄	—	4	1	no	—
924	C₄	—	4	1	no	—
925	C₄	—	4	1	no	—
926	C₄	—	4	1	no	—
927	C₄	—	4	2	no	—
928	C₄	—	4	1	no	—
929	C₄	C₁₁×#529	1	4	yes	—
930	C₂	—	8	1	no	—
931	C₂	—	8	2	no	—
932	C₂	C₂×C₁₁×#529	1	1	yes	characteristic
933	C₂	C₁₁×#3480	1	1	yes	characteristic
934	C₂	C₁₁×#3480	1	1	yes	characteristic
935	C₂	C₁₁×#3480	1	1	yes	characteristic
936	C₂	C₁₁×#3521	1	1	yes	characteristic
937	C₂	C₁₁×#3521	1	1	yes	characteristic
938	C₂	C₁₁×#3524	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×#2860	C₂	semidirect
2. C₁₁×#2860	C₂	semidirect
3. C₁₁×#2597	C₂	semidirect
4. C₁₁×#2596	C₂	semidirect
5. C₁₁×#2593	C₂	semidirect
6. C₁₁×#2573	C₂	semidirect
7. C₁₁×#2525	C₂	semidirect
8. C₁₁×#2516	C₂	semidirect
9. C₁₁×#2509	C₂	semidirect
11. C₁₁×#2453	C₂	semidirect
12. C₁₁×#2448	C₂	semidirect
14. C₁₁×#2421	C₂	semidirect
15. C₁₁×#2370	C₂	semidirect
16. C₁₁×#2367	C₂	semidirect
18. C₁₁×#2362	C₂	semidirect
19. C₁₁×#2357	C₂	semidirect
20. C₁₁×#2347	C₂	semidirect
21. C₄×C₁₁×#126	C₂	semidirect
22. C₄×C₁₁×#126	C₂	semidirect
23. C₄²×Q₈×C₁₁	C₂	semidirect
233. #36589	C₁₁	direct (N × H)
336. #2860	C₂×C₁₁	semidirect
337. #2860	C₂×C₁₁	semidirect
338. #2597	C₂×C₁₁	semidirect
339. #2596	C₂×C₁₁	semidirect
340. #2593	C₂×C₁₁	semidirect
341. #2573	C₂×C₁₁	semidirect
342. #2525	C₂×C₁₁	semidirect
343. #2516	C₂×C₁₁	semidirect
344. #2509	C₂×C₁₁	semidirect
346. #2453	C₂×C₁₁	semidirect
347. #2448	C₂×C₁₁	semidirect
349. #2421	C₂×C₁₁	semidirect
350. #2370	C₂×C₁₁	semidirect
351. #2367	C₂×C₁₁	semidirect
353. #2362	C₂×C₁₁	semidirect
354. #2357	C₂×C₁₁	semidirect
355. #2347	C₂×C₁₁	semidirect
356. C₄×#126	C₂×C₁₁	semidirect
357. C₄×#126	C₂×C₁₁	semidirect
358. C₄²×Q₈	C₂×C₁₁	semidirect
804. C₁₁	#36589	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×#2860	2
C₁₁×#2597	2
C₁₁×#2596	2
C₁₁×#2593	2
C₁₁×#2573	2
C₁₁×#2525	2
C₁₁×#2516	2
C₁₁×#2509	2
C₁₁×#2490	2
C₁₁×#2453	2
C₁₁×#2448	2
C₁₁×#2426	2
C₁₁×#2421	2
C₁₁×#2370	2
C₁₁×#2367	2
C₁₁×#2363	2
C₁₁×#2362	2
C₁₁×#2357	2
C₁₁×#2347	2
C₄×C₁₁×#126	2
C₄²×Q₈×C₁₁	2
#36589	11

Subgroups — C11×#36589 #14613782

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36589 #14613782