Subgroups — C₁₁×#34477 #14611670

Order 2816.

2568 conjugacy classes of subgroups.

The subgroup lattice has 1122 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#550	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2380	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2377	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2366	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#2364	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2363	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#2361	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2356	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2353	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2352	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2339	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2339	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2333	C₂	1	2	yes	maximal, complemented
14	C₁₁×#2328	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2328	C₂	1	2	yes	maximal, complemented
16	C₁₁×#2325	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2324	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#2320	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#2318	C₂	1	2	yes	maximal, complemented
20	C₁₁×#2311	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₁×#121	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₁×#2297	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2290	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
25	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
26	C₁₁×#550	C₄	1	16	yes	complemented
27	C₂×C₁₁×#127	C₂²	1	2	yes	—
28	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
29	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
31	C₂×C₁₁×#121	C₂²	1	2	yes	—
32	C₂×C₁₁×#121	C₂²	1	2	yes	—
33	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
35	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
38	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
41	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
43	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
44	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
45	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
46	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
47	C₁₁×#391	C₂²	1	1	yes	characteristic
48	C₁₁×#391	C₂²	1	1	yes	characteristic
49	C₁₁×#391	C₂²	1	1	yes	characteristic
50	C₁₁×#391	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	1	yes	characteristic
54	C₁₁×#390	C₂²	1	1	yes	characteristic
55	C₁₁×#390	C₂²	1	2	yes	—
56	C₁₁×#390	C₂²	1	2	yes	—
57	C₁₁×#390	C₂²	1	2	yes	—
58	C₁₁×#389	C₂²	1	1	yes	characteristic
59	C₁₁×#389	C₂²	1	1	yes	characteristic
60	C₁₁×#388	C₂²	1	1	yes	characteristic
61	C₁₁×#388	C₂²	1	1	yes	characteristic
62	C₁₁×#388	C₂²	1	2	yes	—
63	C₁₁×#388	C₂²	1	2	yes	—
64	C₁₁×#388	C₂²	1	2	yes	—
65	C₁₁×#388	C₂²	1	2	yes	—
66	C₁₁×#388	C₂²	1	2	yes	—
67	C₁₁×#387	C₂²	1	1	yes	characteristic
68	C₁₁×#387	C₂²	1	1	yes	characteristic
69	C₁₁×#387	C₂²	1	2	yes	—
70	C₁₁×#387	C₂²	1	2	yes	—
71	C₁₁×#387	C₂²	1	2	yes	—
72	C₁₁×#387	C₂²	1	2	yes	—
73	C₁₁×#387	C₂²	1	2	yes	—
74	C₁₁×#386	C₂²	1	1	yes	characteristic
75	C₁₁×#386	C₂²	1	2	yes	—
76	C₁₁×#386	C₂²	1	2	yes	—
77	C₁₁×#386	C₂²	1	2	yes	—
78	C₁₁×#386	C₂²	1	2	yes	—
79	C₁₁×#386	C₂²	1	2	yes	—
80	C₁₁×#386	C₂²	1	2	yes	—
81	C₁₁×#386	C₂²	1	2	yes	—
82	C₁₁×#386	C₂²	1	2	yes	—
83	C₁₁×#386	C₂²	1	2	yes	—
84	C₁₁×#386	C₂²	1	2	yes	—
85	C₁₁×#386	C₂²	1	2	yes	—
86	C₁₁×#386	C₂²	1	1	yes	characteristic
87	C₁₁×#386	C₂²	1	2	yes	—
88	C₁₁×#386	C₂²	1	2	yes	—
89	C₁₁×#386	C₂²	1	2	yes	—
90	C₁₁×#386	C₂²	1	2	yes	—
91	C₁₁×#386	C₂²	1	2	yes	—
92	C₁₁×#386	C₂²	1	2	yes	—
93	C₁₁×#386	C₂²	1	2	yes	—
94	C₁₁×#386	C₂²	1	2	yes	—
95	C₁₁×#385	C₂²	1	1	yes	characteristic
96	C₁₁×#385	C₂²	1	1	yes	characteristic
97	C₁₁×#385	C₂²	1	2	yes	—
98	C₁₁×#385	C₂²	1	2	yes	—
99	C₁₁×#383	C₂²	1	2	yes	—
100	C₁₁×#383	C₂²	1	2	yes	—
101	C₁₁×#382	C₂²	1	2	yes	—
102	C₁₁×#382	C₂²	1	1	yes	characteristic
103	C₁₁×#381	C₂²	1	2	yes	—
104	C₁₁×#381	C₂²	1	2	yes	—
105	C₁₁×#380	C₂²	1	1	yes	characteristic
106	C₁₁×#380	C₂²	1	2	yes	—
107	C₁₁×#380	C₂²	1	2	yes	—
108	C₁₁×#380	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×C₂²⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₁×C₂²⋊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	1	yes	characteristic
121	C₁₁×#376	C₂²	1	2	yes	—
122	C₂×C₁₁×#95	C₂²	1	2	yes	—
123	C₂×C₁₁×#95	C₂²	1	2	yes	—
124	C₂×C₁₁×#41	—	4	2	no	—
125	C₂×C₁₁×#41	—	4	2	no	—
126	C₂×C₁₁×#41	—	4	2	no	—
127	C₂×C₁₁×#41	—	4	2	no	—
128	C₂×C₁₁×#41	C₂×C₄	1	8	yes	complemented
129	C₂×C₁₁×#41	C₂×C₄	1	8	yes	complemented
130	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
146	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
147	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
148	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
149	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
150	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
151	C₁₁×#127	C₂×C₄	1	8	yes	complemented
152	C₁₁×#127	C₂×C₄	1	16	yes	complemented
153	C₁₁×#121	C₂×C₄	1	8	yes	complemented
154	C₁₁×#121	C₂×C₄	1	8	yes	complemented
155	C₁₁×#121	C₂×C₄	1	16	yes	complemented
156	C₁₁×#121	C₂×C₄	1	16	yes	complemented
157	C₄×Q₈×C₁₁	C₂×C₄	1	8	yes	complemented
158	C₄×D₄×C₁₁	—	4	4	no	—
159	C₄×D₄×C₁₁	—	4	2	no	—
160	C₄×D₄×C₁₁	—	4	2	no	—
161	C₄×D₄×C₁₁	—	4	2	no	—
162	C₄×D₄×C₁₁	—	4	2	no	—
163	C₄×D₄×C₁₁	—	4	4	no	—
164	C₄×D₄×C₁₁	—	4	4	no	—
165	C₄×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
166	C₄×D₄×C₁₁	C₂×C₄	1	16	yes	complemented
167	C₁₁×#117	—	4	2	no	—
168	C₁₁×#117	—	4	2	no	—
169	C₂×C₁₁×C₄⋊C₄	—	4	2	no	—
170	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
171	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
172	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
173	C₂×C₁₁×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	1	yes	characteristic
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	1	yes	characteristic
181	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
183	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
184	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
187	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
189	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
195	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₄²×C₁₁	—	4	2	no	—
210	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
214	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
218	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
219	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
220	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
222	C₁₁×#95	C₂³	1	1	yes	characteristic
223	C₁₁×#95	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
231	C₁₁×#95	C₂³	1	2	yes	—
232	C₁₁×#95	C₂³	1	1	yes	characteristic
233	C₁₁×#95	C₂³	1	2	yes	—
234	C₁₁×#95	C₂³	1	1	yes	characteristic
235	C₁₁×#95	C₂³	1	1	yes	characteristic
236	C₁₁×#95	C₂³	1	1	yes	characteristic
237	C₁₁×#95	C₂³	1	1	yes	characteristic
238	C₁₁×#95	C₂³	1	2	yes	—
239	C₁₁×#95	C₂³	1	2	yes	—
240	C₁₁×#95	C₂³	1	1	yes	characteristic
241	C₁₁×#95	C₂³	1	2	yes	—
242	C₁₁×#95	C₂³	1	2	yes	—
243	C₁₁×#95	C₂³	1	2	yes	—
244	C₁₁×#95	C₂³	1	2	yes	—
245	C₁₁×#95	C₂³	1	2	yes	—
246	C₁₁×#95	C₂³	1	1	yes	characteristic
247	C₁₁×#95	C₂³	1	2	yes	—
248	C₁₁×#95	C₂³	1	2	yes	—
249	#34477	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
250	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
251	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
252	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
253	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
254	C₁₁×#41	—	4	16	no	—
255	C₁₁×#41	—	4	16	no	—
256	C₂×Q₈×C₁₁	—	2	2	no	—
257	C₂×Q₈×C₁₁	—	2	2	no	—
258	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	—
259	C₂×D₄×C₁₁	—	2	2	no	—
260	C₂×D₄×C₁₁	—	2	2	no	—
261	C₂×D₄×C₁₁	—	2	2	no	—
262	C₂×D₄×C₁₁	—	2	2	no	—
263	C₂×D₄×C₁₁	—	4	2	no	—
264	C₂×D₄×C₁₁	—	4	2	no	—
265	C₂×D₄×C₁₁	—	4	2	no	—
266	C₂×D₄×C₁₁	—	4	2	no	—
267	C₂×D₄×C₁₁	—	4	2	no	—
268	C₂×D₄×C₁₁	—	4	2	no	—
269	C₂×D₄×C₁₁	—	4	2	no	—
270	C₂×D₄×C₁₁	—	4	1	no	—
271	C₂×D₄×C₁₁	—	4	1	no	—
272	C₂×D₄×C₁₁	—	4	2	no	—
273	C₂×D₄×C₁₁	—	4	2	no	—
274	C₂×D₄×C₁₁	—	4	2	no	—
275	C₂×D₄×C₁₁	—	4	2	no	—
276	C₂×D₄×C₁₁	—	4	2	no	—
277	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
278	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
279	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
280	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
281	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
282	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
283	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
284	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
285	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
286	C₂²×C₄×C₁₁	—	2	2	no	—
287	C₂²×C₄×C₁₁	—	2	2	no	—
288	C₂²×C₄×C₁₁	—	2	2	no	—
289	C₂²×C₄×C₁₁	—	2	2	no	—
290	C₂²×C₄×C₁₁	—	2	2	no	—
291	C₂²×C₄×C₁₁	—	2	4	no	—
292	C₂²×C₄×C₁₁	—	4	1	no	—
293	C₂²×C₄×C₁₁	—	4	1	no	—
294	C₂²×C₄×C₁₁	—	4	1	no	—
295	C₂²×C₄×C₁₁	—	4	1	no	—
296	C₂²×C₄×C₁₁	—	4	1	no	—
297	C₂²×C₄×C₁₁	—	4	2	no	—
298	C₂²×C₄×C₁₁	—	4	2	no	—
299	C₂²×C₄×C₁₁	—	4	2	no	—
300	C₂²×C₄×C₁₁	—	4	2	no	—
301	C₂²×C₄×C₁₁	—	4	2	no	—
302	C₂²×C₄×C₁₁	—	4	2	no	—
303	C₂²×C₄×C₁₁	—	4	2	no	—
304	C₂²×C₄×C₁₁	—	4	2	no	—
305	C₂²×C₄×C₁₁	—	4	2	no	—
306	C₂²×C₄×C₁₁	—	4	2	no	—
307	C₂²×C₄×C₁₁	—	4	2	no	—
308	C₂²×C₄×C₁₁	—	4	2	no	—
309	C₂²×C₄×C₁₁	—	4	2	no	—
310	C₂²×C₄×C₁₁	—	4	2	no	—
311	C₂²×C₄×C₁₁	—	4	2	no	—
312	C₂²×C₄×C₁₁	—	4	2	no	—
313	C₂²×C₄×C₁₁	—	4	2	no	—
314	C₂²×C₄×C₁₁	—	4	2	no	—
315	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
316	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
317	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
318	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
319	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
327	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
330	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
334	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
338	C₁₁×C₄⋊C₄	—	2	2	no	—
339	C₁₁×C₄⋊C₄	—	2	2	no	—
340	C₁₁×C₄⋊C₄	—	2	2	no	—
341	C₁₁×C₄⋊C₄	—	2	2	no	—
342	C₁₁×C₄⋊C₄	—	2	2	no	—
343	C₁₁×C₄⋊C₄	—	4	2	no	—
344	C₁₁×C₄⋊C₄	—	4	1	no	—
345	C₁₁×C₄⋊C₄	—	4	1	no	—
346	C₁₁×C₄⋊C₄	—	4	1	no	—
347	C₁₁×C₄⋊C₄	—	4	2	no	—
348	C₁₁×C₄⋊C₄	—	4	2	no	—
349	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
350	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
351	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
352	C₁₁×C₂²⋊C₄	—	2	4	no	—
353	C₁₁×C₂²⋊C₄	—	2	2	no	—
354	C₁₁×C₂²⋊C₄	—	4	2	no	—
355	C₁₁×C₂²⋊C₄	—	4	2	no	—
356	C₁₁×C₂²⋊C₄	—	4	1	no	—
357	C₁₁×C₂²⋊C₄	—	4	2	no	—
358	C₁₁×C₂²⋊C₄	—	4	2	no	—
359	C₁₁×C₂²⋊C₄	—	4	2	no	—
360	C₁₁×C₂²⋊C₄	—	4	2	no	—
361	C₁₁×C₂²⋊C₄	—	4	1	no	—
362	C₁₁×C₂²⋊C₄	—	4	1	no	—
363	C₁₁×C₂²⋊C₄	—	4	1	no	—
364	C₁₁×C₂²⋊C₄	—	4	1	no	—
365	C₁₁×C₂²⋊C₄	—	4	2	no	—
366	C₁₁×C₂²⋊C₄	—	4	2	no	—
367	C₁₁×C₂²⋊C₄	—	4	2	no	—
368	C₁₁×C₂²⋊C₄	—	4	2	no	—
369	C₁₁×C₂²⋊C₄	—	4	2	no	—
370	C₁₁×C₂²⋊C₄	—	4	2	no	—
371	C₁₁×C₂²⋊C₄	—	4	2	no	—
372	C₁₁×C₂²⋊C₄	—	4	2	no	—
373	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
374	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
375	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
376	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
377	C₄²×C₁₁	—	2	2	no	—
378	C₄²×C₁₁	—	2	2	no	—
379	C₄²×C₁₁	—	2	2	no	—
380	C₄²×C₁₁	—	2	4	no	—
381	C₄²×C₁₁	—	2	2	no	—
382	C₄²×C₁₁	—	4	1	no	—
383	C₄²×C₁₁	—	4	1	no	—
384	C₄²×C₁₁	—	4	2	no	—
385	C₄²×C₁₁	—	4	2	no	—
386	C₄²×C₁₁	—	4	2	no	—
387	C₄²×C₁₁	C₂²×C₄	1	8	yes	—
388	C₄²×C₁₁	C₂²×C₄	1	4	yes	—
389	C₂×#550	C₂×C₁₁	1	1	yes	characteristic
390	#2380	C₂×C₁₁	1	2	yes	complemented
391	#2377	C₂×C₁₁	1	2	yes	complemented
392	#2366	C₂×C₁₁	1	1	yes	characteristic, complemented
393	#2364	C₂×C₁₁	1	2	yes	complemented
394	#2363	C₂×C₁₁	1	1	yes	characteristic, complemented
395	#2361	C₂×C₁₁	1	1	yes	characteristic, complemented
396	#2356	C₂×C₁₁	1	1	yes	characteristic, complemented
397	#2353	C₂×C₁₁	1	2	yes	complemented
398	#2352	C₂×C₁₁	1	1	yes	characteristic, complemented
399	#2339	C₂×C₁₁	1	1	yes	characteristic, complemented
400	#2339	C₂×C₁₁	1	1	yes	characteristic, complemented
401	#2333	C₂×C₁₁	1	2	yes	complemented
402	#2328	C₂×C₁₁	1	2	yes	complemented
403	#2328	C₂×C₁₁	1	1	yes	characteristic, complemented
404	#2325	C₂×C₁₁	1	2	yes	complemented
405	#2324	C₂×C₁₁	1	1	yes	characteristic, complemented
406	#2320	C₂×C₁₁	1	1	yes	characteristic, complemented
407	#2318	C₂×C₁₁	1	2	yes	complemented
408	#2311	C₂×C₁₁	1	1	yes	characteristic, complemented
409	C₄×#121	C₂×C₁₁	1	1	yes	characteristic, complemented
410	#2297	C₂×C₁₁	1	1	yes	characteristic, complemented
411	#2290	C₂×C₁₁	1	1	yes	characteristic, complemented
412	C₂³×C₁₁	—	2	2	no	—
413	C₂³×C₁₁	—	2	1	no	—
414	C₂³×C₁₁	—	2	1	no	—
415	C₂³×C₁₁	—	2	1	no	—
416	C₂³×C₁₁	—	2	1	no	—
417	C₂³×C₁₁	—	2	2	no	—
418	C₂³×C₁₁	—	2	2	no	—
419	C₂³×C₁₁	—	2	2	no	—
420	C₂³×C₁₁	—	2	2	no	—
421	C₂³×C₁₁	—	2	2	no	—
422	C₂³×C₁₁	—	2	1	no	—
423	C₂³×C₁₁	—	2	1	no	—
424	C₂³×C₁₁	—	2	2	no	—
425	C₂³×C₁₁	—	2	1	no	—
426	C₂³×C₁₁	—	2	1	no	—
427	C₂³×C₁₁	—	2	2	no	—
428	C₂³×C₁₁	—	2	1	no	—
429	C₂³×C₁₁	—	2	2	no	—
430	C₂³×C₁₁	—	2	1	no	—
431	C₂³×C₁₁	—	2	2	no	—
432	C₂³×C₁₁	—	2	1	no	—
433	C₂³×C₁₁	—	2	2	no	—
434	C₂³×C₁₁	—	2	1	no	—
435	C₂³×C₁₁	—	2	2	no	—
436	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
437	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
438	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
439	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
440	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
441	Q₈×C₁₁	—	2	8	no	—
442	D₄×C₁₁	—	2	8	no	—
443	D₄×C₁₁	—	2	8	no	—
444	D₄×C₁₁	—	4	4	no	—
445	D₄×C₁₁	—	4	8	no	—
446	D₄×C₁₁	—	4	8	no	—
447	D₄×C₁₁	—	4	8	no	—
448	D₄×C₁₁	—	4	8	no	—
449	D₄×C₁₁	—	4	8	no	—
450	D₄×C₁₁	—	4	8	no	—
451	C₂×C₄×C₁₁	—	2	1	no	—
452	C₂×C₄×C₁₁	—	2	2	no	—
453	C₂×C₄×C₁₁	—	2	1	no	—
454	C₂×C₄×C₁₁	—	2	1	no	—
455	C₂×C₄×C₁₁	—	2	1	no	—
456	C₂×C₄×C₁₁	—	2	1	no	—
457	C₂×C₄×C₁₁	—	2	1	no	—
458	C₂×C₄×C₁₁	—	2	2	no	—
459	C₂×C₄×C₁₁	—	2	2	no	—
460	C₂×C₄×C₁₁	—	2	2	no	—
461	C₂×C₄×C₁₁	—	2	1	no	—
462	C₂×C₄×C₁₁	—	2	1	no	—
463	C₂×C₄×C₁₁	—	2	1	no	—
464	C₂×C₄×C₁₁	—	2	1	no	—
465	C₂×C₄×C₁₁	—	2	8	no	—
466	C₂×C₄×C₁₁	—	2	8	no	—
467	C₂×C₄×C₁₁	—	2	1	no	—
468	C₂×C₄×C₁₁	—	2	1	no	—
469	C₂×C₄×C₁₁	—	2	1	no	—
470	C₂×C₄×C₁₁	—	2	1	no	—
471	C₂×C₄×C₁₁	—	2	1	no	—
472	C₂×C₄×C₁₁	—	2	2	no	—
473	C₂×C₄×C₁₁	—	2	1	no	—
474	C₂×C₄×C₁₁	—	2	1	no	—
475	C₂×C₄×C₁₁	—	2	2	no	—
476	C₂×C₄×C₁₁	—	2	2	no	—
477	C₂×C₄×C₁₁	—	2	2	no	—
478	C₂×C₄×C₁₁	—	2	2	no	—
479	C₂×C₄×C₁₁	—	2	1	no	—
480	C₂×C₄×C₁₁	—	2	2	no	—
481	C₂×C₄×C₁₁	—	2	1	no	—
482	C₂×C₄×C₁₁	—	2	1	no	—
483	C₂×C₄×C₁₁	—	2	2	no	—
484	C₂×C₄×C₁₁	—	2	1	no	—
485	C₂×C₄×C₁₁	—	2	2	no	—
486	C₂×C₄×C₁₁	—	2	1	no	—
487	C₂×C₄×C₁₁	—	2	1	no	—
488	C₂×C₄×C₁₁	—	2	1	no	—
489	C₂×C₄×C₁₁	—	2	1	no	—
490	C₂×C₄×C₁₁	—	2	1	no	—
491	C₂×C₄×C₁₁	—	2	2	no	—
492	C₂×C₄×C₁₁	—	2	2	no	—
493	C₂×C₄×C₁₁	—	2	1	no	—
494	C₂×C₄×C₁₁	—	2	1	no	—
495	C₂×C₄×C₁₁	—	2	2	no	—
496	C₂×C₄×C₁₁	—	2	1	no	—
497	C₂×C₄×C₁₁	—	2	2	no	—
498	C₂×C₄×C₁₁	—	2	1	no	—
499	C₂×C₄×C₁₁	—	2	1	no	—
500	C₂×C₄×C₁₁	—	4	8	no	—
501	C₂×C₄×C₁₁	—	4	8	no	—
502	C₂×C₄×C₁₁	—	4	4	no	—
503	C₂×C₄×C₁₁	—	4	4	no	—
504	C₂×C₄×C₁₁	—	8	4	no	—
505	C₂×C₄×C₁₁	—	8	4	no	—
506	C₂×C₄×C₁₁	—	8	4	no	—
507	C₂×C₄×C₁₁	—	8	4	no	—
508	C₂×C₄×C₁₁	—	8	4	no	—
509	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
510	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
511	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
512	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
513	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
514	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
515	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
516	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
517	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
518	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
519	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
520	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
521	#550	C₄×C₁₁	1	16	yes	complemented
522	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
523	C₂×#127	C₂²×C₁₁	1	2	yes	—
524	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
525	C₂×#121	C₂²×C₁₁	1	2	yes	—
526	C₂×#121	C₂²×C₁₁	1	2	yes	—
527	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
528	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
529	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
530	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
531	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
532	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
533	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
534	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
535	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
536	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
537	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
538	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
539	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
540	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
541	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
542	#391	C₂²×C₁₁	1	1	yes	characteristic
543	#391	C₂²×C₁₁	1	1	yes	characteristic
544	#391	C₂²×C₁₁	1	1	yes	characteristic
545	#391	C₂²×C₁₁	1	1	yes	characteristic
546	#390	C₂²×C₁₁	1	1	yes	characteristic
547	#390	C₂²×C₁₁	1	1	yes	characteristic
548	#390	C₂²×C₁₁	1	2	yes	—
549	#390	C₂²×C₁₁	1	1	yes	characteristic
550	#390	C₂²×C₁₁	1	2	yes	—
551	#390	C₂²×C₁₁	1	2	yes	—
552	#390	C₂²×C₁₁	1	1	yes	characteristic
553	#389	C₂²×C₁₁	1	1	yes	characteristic
554	#389	C₂²×C₁₁	1	1	yes	characteristic
555	#388	C₂²×C₁₁	1	2	yes	—
556	#388	C₂²×C₁₁	1	2	yes	—
557	#388	C₂²×C₁₁	1	2	yes	—
558	#388	C₂²×C₁₁	1	2	yes	—
559	#388	C₂²×C₁₁	1	2	yes	—
560	#388	C₂²×C₁₁	1	1	yes	characteristic
561	#388	C₂²×C₁₁	1	1	yes	characteristic
562	#387	C₂²×C₁₁	1	1	yes	characteristic
563	#387	C₂²×C₁₁	1	2	yes	—
564	#387	C₂²×C₁₁	1	2	yes	—
565	#387	C₂²×C₁₁	1	2	yes	—
566	#387	C₂²×C₁₁	1	2	yes	—
567	#387	C₂²×C₁₁	1	2	yes	—
568	#387	C₂²×C₁₁	1	1	yes	characteristic
569	#386	C₂²×C₁₁	1	2	yes	—
570	#386	C₂²×C₁₁	1	2	yes	—
571	#386	C₂²×C₁₁	1	2	yes	—
572	#386	C₂²×C₁₁	1	2	yes	—
573	#386	C₂²×C₁₁	1	2	yes	—
574	#386	C₂²×C₁₁	1	2	yes	—
575	#386	C₂²×C₁₁	1	2	yes	—
576	#386	C₂²×C₁₁	1	2	yes	—
577	#386	C₂²×C₁₁	1	2	yes	—
578	#386	C₂²×C₁₁	1	1	yes	characteristic
579	#386	C₂²×C₁₁	1	2	yes	—
580	#386	C₂²×C₁₁	1	2	yes	—
581	#386	C₂²×C₁₁	1	2	yes	—
582	#386	C₂²×C₁₁	1	2	yes	—
583	#386	C₂²×C₁₁	1	2	yes	—
584	#386	C₂²×C₁₁	1	2	yes	—
585	#386	C₂²×C₁₁	1	2	yes	—
586	#386	C₂²×C₁₁	1	2	yes	—
587	#386	C₂²×C₁₁	1	2	yes	—
588	#386	C₂²×C₁₁	1	2	yes	—
589	#386	C₂²×C₁₁	1	1	yes	characteristic
590	#385	C₂²×C₁₁	1	2	yes	—
591	#385	C₂²×C₁₁	1	2	yes	—
592	#385	C₂²×C₁₁	1	1	yes	characteristic
593	#385	C₂²×C₁₁	1	1	yes	characteristic
594	#383	C₂²×C₁₁	1	2	yes	—
595	#383	C₂²×C₁₁	1	2	yes	—
596	#382	C₂²×C₁₁	1	2	yes	—
597	#382	C₂²×C₁₁	1	1	yes	characteristic
598	#381	C₂²×C₁₁	1	2	yes	—
599	#381	C₂²×C₁₁	1	2	yes	—
600	#380	C₂²×C₁₁	1	2	yes	—
601	#380	C₂²×C₁₁	1	2	yes	—
602	#380	C₂²×C₁₁	1	1	yes	characteristic
603	#380	C₂²×C₁₁	1	1	yes	characteristic
604	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
605	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
606	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
607	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
608	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
609	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
610	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
611	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
612	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
613	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
614	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
615	#376	C₂²×C₁₁	1	1	yes	characteristic
616	#376	C₂²×C₁₁	1	2	yes	—
617	C₂×#95	C₂²×C₁₁	1	2	yes	—
618	C₂×#95	C₂²×C₁₁	1	2	yes	—
619	C₂²×C₁₁	—	2	2	no	—
620	C₂²×C₁₁	—	2	2	no	—
621	C₂²×C₁₁	—	2	4	no	—
622	C₂²×C₁₁	—	2	4	no	—
623	C₂²×C₁₁	—	2	2	no	—
624	C₂²×C₁₁	—	2	4	no	—
625	C₂²×C₁₁	—	2	2	no	—
626	C₂²×C₁₁	—	2	4	no	—
627	C₂²×C₁₁	—	2	2	no	—
628	C₂²×C₁₁	—	2	4	no	—
629	C₂²×C₁₁	—	2	2	no	—
630	C₂²×C₁₁	—	2	4	no	—
631	C₂²×C₁₁	—	4	1	no	—
632	C₂²×C₁₁	—	4	1	no	—
633	C₂²×C₁₁	—	4	2	no	—
634	C₂²×C₁₁	—	4	2	no	—
635	C₂²×C₁₁	—	4	1	no	—
636	C₂²×C₁₁	—	4	2	no	—
637	C₂²×C₁₁	—	4	2	no	—
638	C₂²×C₁₁	—	4	1	no	—
639	C₂²×C₁₁	—	4	1	no	—
640	C₂²×C₁₁	—	4	2	no	—
641	C₂²×C₁₁	—	4	1	no	—
642	C₂²×C₁₁	—	4	2	no	—
643	C₂²×C₁₁	—	4	2	no	—
644	C₂²×C₁₁	—	4	1	no	—
645	C₂²×C₁₁	—	4	2	no	—
646	C₂²×C₁₁	—	4	1	no	—
647	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
648	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
649	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
650	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
651	C₂²×C₁₁	#585	1	1	yes	characteristic
652	C₂²×C₁₁	#585	1	1	yes	characteristic
653	C₂²×C₁₁	#585	1	1	yes	characteristic
654	C₄×C₁₁	—	2	2	no	—
655	C₄×C₁₁	—	2	2	no	—
656	C₄×C₁₁	—	2	4	no	—
657	C₄×C₁₁	—	2	2	no	—
658	C₄×C₁₁	—	2	4	no	—
659	C₄×C₁₁	—	2	2	no	—
660	C₄×C₁₁	—	2	2	no	—
661	C₄×C₁₁	—	4	1	no	—
662	C₄×C₁₁	—	4	1	no	—
663	C₄×C₁₁	—	4	1	no	—
664	C₄×C₁₁	—	4	1	no	—
665	C₄×C₁₁	—	4	1	no	—
666	C₄×C₁₁	—	4	2	no	—
667	C₄×C₁₁	—	4	2	no	—
668	C₄×C₁₁	—	4	1	no	—
669	C₄×C₁₁	—	4	2	no	—
670	C₄×C₁₁	—	4	2	no	—
671	C₄×C₁₁	—	4	1	no	—
672	C₄×C₁₁	#518	1	4	yes	—
673	C₂×#41	—	4	2	no	—
674	C₂×#41	—	4	2	no	—
675	C₂×#41	—	4	2	no	—
676	C₂×#41	—	4	2	no	—
677	C₂×#41	C₂×C₄×C₁₁	1	8	yes	complemented
678	C₂×#41	C₂×C₄×C₁₁	1	8	yes	complemented
679	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
680	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
681	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
682	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
683	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
684	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
685	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
686	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
687	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
688	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
689	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
690	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
691	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
692	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
693	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
694	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
695	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
696	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
697	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
698	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
699	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
700	#127	C₂×C₄×C₁₁	1	8	yes	complemented
701	#127	C₂×C₄×C₁₁	1	16	yes	complemented
702	#121	C₂×C₄×C₁₁	1	8	yes	complemented
703	#121	C₂×C₄×C₁₁	1	8	yes	complemented
704	#121	C₂×C₄×C₁₁	1	16	yes	complemented
705	#121	C₂×C₄×C₁₁	1	16	yes	complemented
706	C₄×Q₈	C₂×C₄×C₁₁	1	8	yes	complemented
707	C₄×D₄	—	4	4	no	—
708	C₄×D₄	—	4	2	no	—
709	C₄×D₄	—	4	2	no	—
710	C₄×D₄	—	4	2	no	—
711	C₄×D₄	—	4	2	no	—
712	C₄×D₄	—	4	4	no	—
713	C₄×D₄	—	4	4	no	—
714	C₄×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
715	C₄×D₄	C₂×C₄×C₁₁	1	16	yes	complemented
716	#117	—	4	2	no	—
717	#117	—	4	2	no	—
718	C₂×C₄⋊C₄	—	4	2	no	—
719	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
720	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
721	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
723	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
724	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
725	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
727	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
728	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
729	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
730	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
731	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
733	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
734	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
736	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
738	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
739	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
745	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
746	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
747	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
749	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
752	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
753	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
754	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
755	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
757	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
758	C₂×C₄²	—	4	2	no	—
759	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
760	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
761	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
762	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
763	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
764	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
765	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
766	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
767	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
768	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
769	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
770	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
771	#95	C₂³×C₁₁	1	1	yes	characteristic
772	#95	C₂³×C₁₁	1	1	yes	characteristic
773	#95	C₂³×C₁₁	1	2	yes	—
774	#95	C₂³×C₁₁	1	2	yes	—
775	#95	C₂³×C₁₁	1	2	yes	—
776	#95	C₂³×C₁₁	1	2	yes	—
777	#95	C₂³×C₁₁	1	2	yes	—
778	#95	C₂³×C₁₁	1	2	yes	—
779	#95	C₂³×C₁₁	1	1	yes	characteristic
780	#95	C₂³×C₁₁	1	2	yes	—
781	#95	C₂³×C₁₁	1	1	yes	characteristic
782	#95	C₂³×C₁₁	1	2	yes	—
783	#95	C₂³×C₁₁	1	1	yes	characteristic
784	#95	C₂³×C₁₁	1	1	yes	characteristic
785	#95	C₂³×C₁₁	1	1	yes	characteristic
786	#95	C₂³×C₁₁	1	1	yes	characteristic
787	#95	C₂³×C₁₁	1	2	yes	—
788	#95	C₂³×C₁₁	1	2	yes	—
789	#95	C₂³×C₁₁	1	1	yes	characteristic
790	#95	C₂³×C₁₁	1	2	yes	—
791	#95	C₂³×C₁₁	1	2	yes	—
792	#95	C₂³×C₁₁	1	2	yes	—
793	#95	C₂³×C₁₁	1	2	yes	—
794	#95	C₂³×C₁₁	1	2	yes	—
795	#95	C₂³×C₁₁	1	1	yes	characteristic
796	#95	C₂³×C₁₁	1	2	yes	—
797	#95	C₂³×C₁₁	1	2	yes	—
798	C₂×C₁₁	—	4	2	no	—
799	C₂×C₁₁	—	4	2	no	—
800	C₂×C₁₁	—	4	4	no	—
801	C₂×C₁₁	—	4	4	no	—
802	C₂×C₁₁	C₂×#518	1	1	yes	characteristic
803	C₂×C₁₁	#3428	1	1	yes	characteristic
804	C₂×C₁₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
805	C₂×C₁₁	#3539	1	1	yes	characteristic
806	C₂×C₁₁	#3542	1	1	yes	characteristic
807	C₂×C₁₁	#3546	1	1	yes	characteristic
808	C₂×C₁₁	#3562	1	1	yes	characteristic
809	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
810	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
811	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
812	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
813	#41	—	4	16	no	—
814	#41	—	4	16	no	—
815	C₂×Q₈	—	2	2	no	—
816	C₂×Q₈	—	2	2	no	—
817	C₂×Q₈	C₂²×C₄×C₁₁	1	4	yes	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	4	2	no	—
823	C₂×D₄	—	4	2	no	—
824	C₂×D₄	—	4	2	no	—
825	C₂×D₄	—	4	2	no	—
826	C₂×D₄	—	4	2	no	—
827	C₂×D₄	—	4	2	no	—
828	C₂×D₄	—	4	2	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	—	4	2	no	—
831	C₂×D₄	—	4	2	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	4	1	no	—
834	C₂×D₄	—	4	1	no	—
835	C₂×D₄	—	4	2	no	—
836	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
837	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
838	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
839	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
840	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
841	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
842	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
843	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
844	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	2	no	—
847	C₂²×C₄	—	2	2	no	—
848	C₂²×C₄	—	2	2	no	—
849	C₂²×C₄	—	2	2	no	—
850	C₂²×C₄	—	2	4	no	—
851	C₂²×C₄	—	4	1	no	—
852	C₂²×C₄	—	4	1	no	—
853	C₂²×C₄	—	4	2	no	—
854	C₂²×C₄	—	4	2	no	—
855	C₂²×C₄	—	4	2	no	—
856	C₂²×C₄	—	4	2	no	—
857	C₂²×C₄	—	4	1	no	—
858	C₂²×C₄	—	4	1	no	—
859	C₂²×C₄	—	4	1	no	—
860	C₂²×C₄	—	4	2	no	—
861	C₂²×C₄	—	4	2	no	—
862	C₂²×C₄	—	4	2	no	—
863	C₂²×C₄	—	4	2	no	—
864	C₂²×C₄	—	4	2	no	—
865	C₂²×C₄	—	4	2	no	—
866	C₂²×C₄	—	4	2	no	—
867	C₂²×C₄	—	4	2	no	—
868	C₂²×C₄	—	4	2	no	—
869	C₂²×C₄	—	4	2	no	—
870	C₂²×C₄	—	4	2	no	—
871	C₂²×C₄	—	4	2	no	—
872	C₂²×C₄	—	4	2	no	—
873	C₂²×C₄	—	4	2	no	—
874	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
875	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
876	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
877	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
878	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
879	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
880	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
881	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
882	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
883	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
884	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
885	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
886	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
889	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
890	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
891	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
892	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
893	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
894	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
895	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
896	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
897	C₄⋊C₄	—	2	2	no	—
898	C₄⋊C₄	—	2	2	no	—
899	C₄⋊C₄	—	2	2	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	4	2	no	—
903	C₄⋊C₄	—	4	1	no	—
904	C₄⋊C₄	—	4	1	no	—
905	C₄⋊C₄	—	4	2	no	—
906	C₄⋊C₄	—	4	2	no	—
907	C₄⋊C₄	—	4	1	no	—
908	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
909	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
910	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
911	C₂²⋊C₄	—	2	4	no	—
912	C₂²⋊C₄	—	2	2	no	—
913	C₂²⋊C₄	—	4	1	no	—
914	C₂²⋊C₄	—	4	1	no	—
915	C₂²⋊C₄	—	4	2	no	—
916	C₂²⋊C₄	—	4	2	no	—
917	C₂²⋊C₄	—	4	2	no	—
918	C₂²⋊C₄	—	4	2	no	—
919	C₂²⋊C₄	—	4	2	no	—
920	C₂²⋊C₄	—	4	2	no	—
921	C₂²⋊C₄	—	4	2	no	—
922	C₂²⋊C₄	—	4	2	no	—
923	C₂²⋊C₄	—	4	2	no	—
924	C₂²⋊C₄	—	4	2	no	—
925	C₂²⋊C₄	—	4	1	no	—
926	C₂²⋊C₄	—	4	2	no	—
927	C₂²⋊C₄	—	4	2	no	—
928	C₂²⋊C₄	—	4	2	no	—
929	C₂²⋊C₄	—	4	2	no	—
930	C₂²⋊C₄	—	4	1	no	—
931	C₂²⋊C₄	—	4	1	no	—
932	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
933	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
934	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
935	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
936	C₄²	—	2	2	no	—
937	C₄²	—	2	2	no	—
938	C₄²	—	2	2	no	—
939	C₄²	—	2	4	no	—
940	C₄²	—	2	2	no	—
941	C₄²	—	4	1	no	—
942	C₄²	—	4	1	no	—
943	C₄²	—	4	2	no	—
944	C₄²	—	4	2	no	—
945	C₄²	—	4	2	no	—
946	C₄²	C₂²×C₄×C₁₁	1	8	yes	—
947	C₄²	C₂²×C₄×C₁₁	1	4	yes	—
948	C₁₁	#34477	1	1	yes	characteristic, direct product factor, Sylow
949	C₂³	—	2	2	no	—
950	C₂³	—	2	1	no	—
951	C₂³	—	2	1	no	—
952	C₂³	—	2	1	no	—
953	C₂³	—	2	1	no	—
954	C₂³	—	2	2	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	2	no	—
959	C₂³	—	2	1	no	—
960	C₂³	—	2	1	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	2	1	no	—
963	C₂³	—	2	1	no	—
964	C₂³	—	2	2	no	—
965	C₂³	—	2	1	no	—
966	C₂³	—	2	2	no	—
967	C₂³	—	2	1	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	1	no	—
970	C₂³	—	2	2	no	—
971	C₂³	—	2	1	no	—
972	C₂³	—	2	2	no	—
973	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
974	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
975	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
976	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
977	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
978	Q₈	—	2	8	no	—
979	D₄	—	2	8	no	—
980	D₄	—	2	8	no	—
981	D₄	—	4	4	no	—
982	D₄	—	4	8	no	—
983	D₄	—	4	8	no	—
984	D₄	—	4	8	no	—
985	D₄	—	4	8	no	—
986	D₄	—	4	8	no	—
987	D₄	—	4	8	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	8	no	—
1003	C₂×C₄	—	2	8	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	2	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	4	8	no	—
1038	C₂×C₄	—	4	8	no	—
1039	C₂×C₄	—	4	4	no	—
1040	C₂×C₄	—	4	4	no	—
1041	C₂×C₄	—	8	4	no	—
1042	C₂×C₄	—	8	4	no	—
1043	C₂×C₄	—	8	4	no	—
1044	C₂×C₄	—	8	4	no	—
1045	C₂×C₄	—	8	4	no	—
1046	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1047	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
1048	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1049	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
1050	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1051	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1052	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1053	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1054	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1055	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1056	C₂²	—	2	2	no	—
1057	C₂²	—	2	2	no	—
1058	C₂²	—	2	4	no	—
1059	C₂²	—	2	4	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	2	4	no	—
1062	C₂²	—	2	2	no	—
1063	C₂²	—	2	4	no	—
1064	C₂²	—	2	2	no	—
1065	C₂²	—	2	4	no	—
1066	C₂²	—	2	2	no	—
1067	C₂²	—	2	4	no	—
1068	C₂²	—	4	1	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	1	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	1	no	—
1077	C₂²	—	4	2	no	—
1078	C₂²	—	4	1	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	4	2	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
1085	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1086	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1087	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1088	C₂²	C₁₁×#585	1	1	yes	characteristic
1089	C₂²	C₁₁×#585	1	1	yes	characteristic
1090	C₂²	C₁₁×#585	1	1	yes	characteristic
1091	C₄	—	2	2	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	4	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	4	no	—
1096	C₄	—	2	2	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	2	no	—
1106	C₄	—	4	2	no	—
1107	C₄	—	4	1	no	—
1108	C₄	—	4	2	no	—
1109	C₄	C₁₁×#518	1	4	yes	—
1110	C₂	—	4	2	no	—
1111	C₂	—	4	2	no	—
1112	C₂	—	4	4	no	—
1113	C₂	—	4	4	no	—
1114	C₂	C₂×C₁₁×#518	1	1	yes	characteristic
1115	C₂	C₁₁×#3428	1	1	yes	characteristic
1116	C₂	C₄×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1117	C₂	C₁₁×#3539	1	1	yes	characteristic
1118	C₂	C₁₁×#3542	1	1	yes	characteristic
1119	C₂	C₁₁×#3546	1	1	yes	characteristic
1120	C₂	C₁₁×#3562	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂×C₁₁×#550	C₂
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×#2380	C₂	semidirect
3. C₁₁×#2377	C₂	semidirect
4. C₁₁×#2366	C₂	semidirect
5. C₁₁×#2364	C₂	semidirect
6. C₁₁×#2363	C₂	semidirect
7. C₁₁×#2361	C₂	semidirect
8. C₁₁×#2356	C₂	semidirect
9. C₁₁×#2353	C₂	semidirect
10. C₁₁×#2352	C₂	semidirect
11. C₁₁×#2339	C₂	semidirect
12. C₁₁×#2339	C₂	semidirect
13. C₁₁×#2333	C₂	semidirect
14. C₁₁×#2328	C₂	semidirect
15. C₁₁×#2328	C₂	semidirect
16. C₁₁×#2325	C₂	semidirect
17. C₁₁×#2324	C₂	semidirect
18. C₁₁×#2320	C₂	semidirect
19. C₁₁×#2318	C₂	semidirect
20. C₁₁×#2311	C₂	semidirect
21. C₄×C₁₁×#121	C₂	semidirect
22. C₁₁×#2297	C₂	semidirect
23. C₁₁×#2290	C₂	semidirect
26. C₁₁×#550	C₄	semidirect
128. C₂×C₁₁×#41	C₂×C₄	semidirect
129. C₂×C₁₁×#41	C₂×C₄	semidirect
151. C₁₁×#127	C₂×C₄	semidirect
152. C₁₁×#127	C₂×C₄	semidirect
153. C₁₁×#121	C₂×C₄	semidirect
154. C₁₁×#121	C₂×C₄	semidirect
155. C₁₁×#121	C₂×C₄	semidirect
156. C₁₁×#121	C₂×C₄	semidirect
157. C₄×Q₈×C₁₁	C₂×C₄	semidirect
165. C₄×D₄×C₁₁	C₂×C₄	semidirect
166. C₄×D₄×C₁₁	C₂×C₄	semidirect
249. #34477	C₁₁	direct (N × H)
390. #2380	C₂×C₁₁	semidirect
391. #2377	C₂×C₁₁	semidirect
392. #2366	C₂×C₁₁	semidirect
393. #2364	C₂×C₁₁	semidirect
394. #2363	C₂×C₁₁	semidirect
395. #2361	C₂×C₁₁	semidirect
396. #2356	C₂×C₁₁	semidirect
397. #2353	C₂×C₁₁	semidirect
398. #2352	C₂×C₁₁	semidirect
399. #2339	C₂×C₁₁	semidirect
400. #2339	C₂×C₁₁	semidirect
401. #2333	C₂×C₁₁	semidirect
402. #2328	C₂×C₁₁	semidirect
403. #2328	C₂×C₁₁	semidirect
404. #2325	C₂×C₁₁	semidirect
405. #2324	C₂×C₁₁	semidirect
406. #2320	C₂×C₁₁	semidirect
407. #2318	C₂×C₁₁	semidirect
408. #2311	C₂×C₁₁	semidirect
409. C₄×#121	C₂×C₁₁	semidirect
410. #2297	C₂×C₁₁	semidirect
411. #2290	C₂×C₁₁	semidirect
521. #550	C₄×C₁₁	semidirect
677. C₂×#41	C₂×C₄×C₁₁	semidirect
678. C₂×#41	C₂×C₄×C₁₁	semidirect
700. #127	C₂×C₄×C₁₁	semidirect
701. #127	C₂×C₄×C₁₁	semidirect
702. #121	C₂×C₄×C₁₁	semidirect
703. #121	C₂×C₄×C₁₁	semidirect
704. #121	C₂×C₄×C₁₁	semidirect
705. #121	C₂×C₄×C₁₁	semidirect
706. C₄×Q₈	C₂×C₄×C₁₁	semidirect
714. C₄×D₄	C₂×C₄×C₁₁	semidirect
715. C₄×D₄	C₂×C₄×C₁₁	semidirect
948. C₁₁	#34477	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×#550	2
C₁₁×#2380	2
C₁₁×#2377	2
C₁₁×#2366	2
C₁₁×#2364	2
C₁₁×#2363	2
C₁₁×#2361	2
C₁₁×#2356	2
C₁₁×#2353	2
C₁₁×#2352	2
C₁₁×#2339	2
C₁₁×#2333	2
C₁₁×#2328	2
C₁₁×#2325	2
C₁₁×#2324	2
C₁₁×#2320	2
C₁₁×#2318	2
C₁₁×#2311	2
C₄×C₁₁×#121	2
C₁₁×#2297	2
C₁₁×#2290	2
#34477	11

Subgroups — C11×#34477 #14611670

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#34477 #14611670