Subgroups — #13083097

Order 1408.

910 conjugacy classes of subgroups.

The subgroup lattice has 886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#541	C₂	1	1	yes	maximal, characteristic, complemented
2	#10623266	C₂	1	1	yes	maximal, characteristic, complemented
3	#10623253	C₂	1	1	yes	maximal, characteristic, complemented
4	#10623243	C₂	1	1	yes	maximal, characteristic, complemented
5	#10623241	C₂	1	1	yes	maximal, characteristic
6	#10623237	C₂	1	1	yes	maximal, characteristic
7	#10623233	C₂	1	1	yes	maximal, characteristic, complemented
8	#10623233	C₂	1	1	yes	maximal, characteristic, complemented
9	#10623233	C₂	1	1	yes	maximal, characteristic, complemented
10	#10623232	C₂	1	1	yes	maximal, characteristic, complemented
11	#10623232	C₂	1	1	yes	maximal, characteristic, complemented
12	#10623230	C₂	1	1	yes	maximal, characteristic, complemented
13	#10623227	C₂	1	1	yes	maximal, characteristic, complemented
14	#10623227	C₂	1	1	yes	maximal, characteristic, complemented
15	#10623227	C₂	1	1	yes	maximal, characteristic, complemented
16	#10623227	C₂	1	1	yes	maximal, characteristic, complemented
17	#10623224	C₂	1	1	yes	maximal, characteristic, complemented
18	#10623220	C₂	1	1	yes	maximal, characteristic, complemented
19	#10623219	C₂	1	1	yes	maximal, characteristic, complemented
20	#10623216	C₂	1	1	yes	maximal, characteristic, complemented
21	#10623216	C₂	1	1	yes	maximal, characteristic, complemented
22	#10623177	C₂	1	1	yes	maximal, characteristic, complemented
23	#10623171	C₂	1	1	yes	maximal, characteristic
24	#10623167	C₂	1	1	yes	maximal, characteristic, complemented
25	#10623154	C₂	1	1	yes	maximal, characteristic, complemented
26	#10623114	C₂	1	1	yes	maximal, characteristic, complemented
27	#10623109	C₂	1	1	yes	maximal, characteristic, complemented
28	#10623099	C₂	1	1	yes	maximal, characteristic, complemented
29	#10623098	C₂	1	1	yes	maximal, characteristic, complemented
30	#10623064	C₂	1	1	yes	maximal, characteristic, complemented
31	#10623062	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
33	C₁₁×#126	C₂²	1	1	yes	characteristic
34	C₁₁×#126	C₂²	1	1	yes	characteristic
35	C₁₁×#126	C₂²	1	1	yes	characteristic
36	C₁₁×#126	C₂²	1	1	yes	characteristic
37	C₁₁×#125	C₂²	1	1	yes	characteristic
38	C₁₁×#125	C₂²	1	1	yes	characteristic
39	C₁₁×#125	C₂²	1	1	yes	characteristic
40	C₁₁×#125	C₂²	1	1	yes	characteristic
41	C₁₁×#125	C₂²	1	1	yes	characteristic
42	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
45	C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
46	C₁₁×#117	C₂²	1	1	yes	characteristic
47	#67000	C₂²	1	1	yes	characteristic
48	#66999	C₂²	1	1	yes	characteristic
49	#66999	C₂²	1	1	yes	characteristic
50	#66997	C₂²	1	1	yes	characteristic
51	#66997	C₂²	1	1	yes	characteristic
52	#66997	C₂²	1	1	yes	characteristic
53	#66997	C₂²	1	1	yes	characteristic
54	#66997	C₂²	1	1	yes	characteristic
55	#66982	C₂²	1	1	yes	characteristic
56	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
57	#66977	C₂²	1	1	yes	characteristic
58	C₂×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
59	#66951	C₂²	1	1	yes	characteristic
60	#66951	C₂²	1	1	yes	characteristic
61	#66951	C₂²	1	1	yes	characteristic
62	#66951	C₂²	1	1	yes	characteristic
63	#66951	C₂²	1	1	yes	characteristic
64	#66951	C₂²	1	1	yes	characteristic
65	#66951	C₂²	1	1	yes	characteristic
66	#66951	C₂²	1	1	yes	characteristic
67	#66951	C₂²	1	1	yes	characteristic
68	#66951	C₂²	1	1	yes	characteristic
69	#66951	C₂²	1	1	yes	characteristic
70	#66951	C₂²	1	1	yes	characteristic
71	#66950	C₂²	1	1	yes	characteristic
72	#66950	C₂²	1	1	yes	characteristic
73	#66950	C₂²	1	1	yes	characteristic
74	#66949	C₂²	1	1	yes	characteristic
75	#66949	C₂²	1	1	yes	characteristic
76	#66949	C₂²	1	1	yes	characteristic
77	#66949	C₂²	1	1	yes	characteristic
78	#66949	C₂²	1	1	yes	characteristic
79	#66949	C₂²	1	1	yes	characteristic
80	#66949	C₂²	1	1	yes	characteristic
81	#66949	C₂²	1	1	yes	characteristic
82	#66949	C₂²	1	1	yes	characteristic
83	#66949	C₂²	1	1	yes	characteristic
84	#66949	C₂²	1	1	yes	characteristic
85	#66949	C₂²	1	1	yes	characteristic
86	#66947	C₂²	1	1	yes	characteristic
87	#66947	C₂²	1	1	yes	characteristic
88	#66947	C₂²	1	1	yes	characteristic
89	#66946	C₂²	1	1	yes	characteristic
90	#66945	C₂²	1	1	yes	characteristic
91	#66945	C₂²	1	1	yes	characteristic
92	#66945	C₂²	1	1	yes	characteristic
93	#66945	C₂²	1	1	yes	characteristic
94	C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
95	#66943	C₂²	1	1	yes	characteristic
96	#66943	C₂²	1	1	yes	characteristic
97	#66943	C₂²	1	1	yes	characteristic
98	#66943	C₂²	1	1	yes	characteristic
99	#66942	C₂²	1	1	yes	characteristic
100	#66942	C₂²	1	1	yes	characteristic
101	#66942	C₂²	1	1	yes	characteristic
102	#66942	C₂²	1	1	yes	characteristic
103	#66942	C₂²	1	1	yes	characteristic
104	#66942	C₂²	1	1	yes	characteristic
105	#66942	C₂²	1	1	yes	characteristic
106	#66942	C₂²	1	1	yes	characteristic
107	#66942	C₂²	1	1	yes	characteristic
108	#66942	C₂²	1	1	yes	characteristic
109	#66942	C₂²	1	1	yes	characteristic
110	#66942	C₂²	1	1	yes	characteristic
111	#66942	C₂²	1	1	yes	characteristic
112	#66942	C₂²	1	1	yes	characteristic
113	#66942	C₂²	1	1	yes	characteristic
114	#66942	C₂²	1	1	yes	characteristic
115	#66942	C₂²	1	1	yes	characteristic
116	#66941	C₂²	1	1	yes	characteristic
117	#66941	C₂²	1	1	yes	characteristic
118	#66941	C₂²	1	1	yes	characteristic
119	#66941	C₂²	1	1	yes	characteristic
120	#66941	C₂²	1	1	yes	characteristic
121	#66941	C₂²	1	1	yes	characteristic
122	#66941	C₂²	1	1	yes	characteristic
123	#66941	C₂²	1	1	yes	characteristic
124	#66941	C₂²	1	1	yes	characteristic
125	#66941	C₂²	1	1	yes	characteristic
126	#66941	C₂²	1	1	yes	characteristic
127	#66940	C₂²	1	1	yes	characteristic
128	#66940	C₂²	1	1	yes	characteristic
129	#66940	C₂²	1	1	yes	characteristic
130	#66940	C₂²	1	1	yes	characteristic
131	#66940	C₂²	1	1	yes	characteristic
132	#66940	C₂²	1	1	yes	characteristic
133	#66940	C₂²	1	1	yes	characteristic
134	#66940	C₂²	1	1	yes	characteristic
135	#66940	C₂²	1	1	yes	characteristic
136	#66940	C₂²	1	1	yes	characteristic
137	#66940	C₂²	1	1	yes	characteristic
138	#66940	C₂²	1	1	yes	characteristic
139	#66939	C₂²	1	1	yes	characteristic
140	#66938	C₂²	1	1	yes	characteristic
141	#66938	C₂²	1	1	yes	characteristic
142	#66938	C₂²	1	1	yes	characteristic
143	#66938	C₂²	1	1	yes	characteristic
144	#66938	C₂²	1	1	yes	characteristic
145	#66937	C₂²	1	1	yes	characteristic
146	#66936	C₂²	1	1	yes	characteristic
147	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
148	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
149	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
150	#66932	C₂²	1	1	yes	characteristic
151	#66932	C₂²	1	1	yes	characteristic
152	#66932	C₂²	1	1	yes	characteristic
153	#66932	C₂²	1	1	yes	characteristic
154	#66932	C₂²	1	1	yes	characteristic
155	#66931	C₂²	1	1	yes	characteristic
156	#66931	C₂²	1	1	yes	characteristic
157	#66931	C₂²	1	1	yes	characteristic
158	#66931	C₂²	1	1	yes	characteristic
159	#66931	C₂²	1	1	yes	characteristic
160	#66930	C₂²	1	1	yes	characteristic
161	#66930	C₂²	1	1	yes	characteristic
162	#66930	C₂²	1	1	yes	characteristic
163	#66929	C₂²	1	1	yes	characteristic
164	#66929	C₂²	1	1	yes	characteristic
165	#66929	C₂²	1	1	yes	characteristic
166	#66929	C₂²	1	1	yes	characteristic
167	#66929	C₂²	1	1	yes	characteristic
168	#66928	C₂²	1	1	yes	characteristic
169	#66925	C₂²	1	1	yes	characteristic
170	#66925	C₂²	1	1	yes	characteristic
171	#66925	C₂²	1	1	yes	characteristic
172	#66925	C₂²	1	1	yes	characteristic
173	C₄²×D₁₁	C₂²	1	1	yes	characteristic
174	#66923	C₂²	1	1	yes	characteristic
175	#66923	C₂²	1	1	yes	characteristic
176	#66923	C₂²	1	1	yes	characteristic
177	#66922	C₂²	1	1	yes	characteristic
178	C₄×Dic₂₂	C₂²	1	1	yes	characteristic
179	C₄×Dic₂₂	C₂²	1	1	yes	characteristic
180	C₄×Dic₂₂	C₂²	1	1	yes	characteristic
181	C₄×Dic₂₂	C₂²	1	1	yes	characteristic
182	C₄×Dic₂₂	C₂²	1	1	yes	characteristic
183	C₄×Dic₂₂	C₂²	1	1	yes	characteristic
184	C₄×Dic₂₂	C₂²	1	1	yes	characteristic
185	C₄×Dic₂₂	C₂²	1	1	yes	characteristic
186	C₄×Dic₂₂	C₂²	1	1	yes	characteristic
187	C₂×Q₈×C₁₁	C₂³	1	1	yes	characteristic
188	C₂×Q₈×C₁₁	C₂³	1	1	yes	characteristic
189	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
190	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
191	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
192	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
193	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
194	C₂×D₄₄	C₂³	1	1	yes	characteristic
195	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
196	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
197	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
198	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
199	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
200	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
201	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
202	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
203	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
204	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
205	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
206	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
207	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
208	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
209	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
210	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
211	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
212	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₄²×C₁₁	C₂³	1	1	yes	characteristic
239	C₄²×C₁₁	C₂³	1	1	yes	characteristic
240	C₄²×C₁₁	C₂³	1	1	yes	characteristic
241	C₄²×C₁₁	C₂³	1	1	yes	characteristic
242	C₄²×C₁₁	C₂³	1	1	yes	characteristic
243	C₄²×C₁₁	C₂³	1	1	yes	characteristic
244	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
245	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
246	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
247	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
248	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
249	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
250	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
251	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
252	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
253	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
254	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
255	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
256	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
257	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
258	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
259	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
260	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
261	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
262	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
263	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
264	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
265	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
266	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
267	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
268	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
269	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
270	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
271	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
272	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
273	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
274	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
275	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
276	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
277	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
278	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
279	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
280	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
281	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
282	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
283	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
284	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
285	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
286	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
287	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
288	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
289	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
290	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
291	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
292	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
293	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
294	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
295	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
296	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
297	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
298	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
299	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
300	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
301	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
302	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
303	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
304	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
305	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
306	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
307	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
308	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
309	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
310	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
311	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
312	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
313	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
314	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
315	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
316	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
317	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
318	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
319	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
320	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
321	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
322	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
323	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
324	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
325	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
326	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
327	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
328	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
329	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
330	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
331	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
332	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
333	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
334	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
335	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
336	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
337	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
338	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
339	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
340	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
341	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
342	#3555	—	11	1	no	maximal, Sylow
343	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
344	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
345	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
346	Q₈×C₁₁	—	4	1	no	—
347	Q₈×C₁₁	—	4	1	no	—
348	C₂×C₄×C₁₁	—	4	1	no	—
349	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
350	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
351	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
352	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
353	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
354	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
355	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
356	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
357	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
358	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
359	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
360	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
361	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
362	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
363	C₂²⋊D₁₁	—	2	2	no	—
364	C₂²⋊D₁₁	—	4	1	no	—
365	C₂×Dic₁₁	—	2	2	no	—
366	C₂×Dic₁₁	—	4	1	no	—
367	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
368	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
369	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
370	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
371	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
372	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
373	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
374	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
375	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
376	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
377	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
378	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
379	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
380	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
381	D₄₄	—	4	1	no	—
382	C₄×D₁₁	—	2	2	no	—
383	C₄×D₁₁	—	2	2	no	—
384	C₄×D₁₁	—	2	2	no	—
385	C₄×D₁₁	—	4	1	no	—
386	C₄×D₁₁	—	4	1	no	—
387	C₄×D₁₁	—	4	1	no	—
388	Dic₂₂	—	2	2	no	—
389	Dic₂₂	—	2	2	no	—
390	Dic₂₂	—	2	2	no	—
391	Dic₂₂	—	2	2	no	—
392	Dic₂₂	—	2	2	no	—
393	Dic₂₂	—	4	1	no	—
394	Dic₂₂	—	4	1	no	—
395	Dic₂₂	—	4	1	no	—
396	Dic₂₂	—	4	1	no	—
397	Dic₂₂	—	4	1	no	—
398	Dic₂₂	—	4	1	no	—
399	#563	—	11	1	no	—
400	#563	—	11	1	no	—
401	#563	—	11	1	no	—
402	#563	—	11	1	no	—
403	Q₈²	—	11	1	no	—
404	#557	—	11	1	no	—
405	#557	—	11	1	no	—
406	#557	—	11	1	no	—
407	#556	—	11	1	no	—
408	#556	—	11	1	no	—
409	#556	—	11	1	no	—
410	#556	—	11	1	no	—
411	#556	—	11	1	no	—
412	#554	—	11	1	no	—
413	#552	—	11	1	no	—
414	#552	—	11	1	no	—
415	#544	—	11	1	no	—
416	#544	—	11	1	no	—
417	#542	—	11	1	no	—
418	#542	—	11	1	no	—
419	#541	—	11	1	no	—
420	#541	—	11	1	no	—
421	#541	—	11	1	no	—
422	#541	—	11	1	no	—
423	#541	—	11	1	no	—
424	#541	—	11	1	no	—
425	#541	—	11	1	no	—
426	#541	D₁₁	1	1	yes	characteristic, complemented
427	#533	—	11	1	no	—
428	#533	—	11	1	no	—
429	#529	—	11	1	no	—
430	C₂²×C₁₁	—	2	1	no	—
431	C₂²×C₁₁	—	2	1	no	—
432	C₂²×C₁₁	—	2	1	no	—
433	C₂²×C₁₁	C₂⁵	1	1	yes	characteristic
434	C₂×D₁₁	—	2	1	no	—
435	C₂×D₁₁	—	2	1	no	—
436	C₂×D₁₁	—	2	1	no	—
437	C₂×D₁₁	—	2	1	no	—
438	C₂×D₁₁	—	2	1	no	—
439	C₂×D₁₁	—	2	1	no	—
440	C₄×C₁₁	—	2	1	no	—
441	C₄×C₁₁	—	2	1	no	—
442	C₄×C₁₁	—	2	1	no	—
443	C₄×C₁₁	—	2	1	no	—
444	C₄×C₁₁	—	2	1	no	—
445	C₄×C₁₁	—	2	1	no	—
446	C₄×C₁₁	—	2	1	no	—
447	C₄×C₁₁	—	2	1	no	—
448	C₄×C₁₁	—	2	1	no	—
449	C₄×C₁₁	—	2	1	no	—
450	C₄×C₁₁	—	2	1	no	—
451	C₄×C₁₁	—	2	1	no	—
452	C₄×C₁₁	—	2	1	no	—
453	C₄×C₁₁	—	2	1	no	—
454	Dic₁₁	—	2	1	no	—
455	Dic₁₁	—	2	1	no	—
456	Dic₁₁	—	2	1	no	—
457	Dic₁₁	—	2	1	no	—
458	Dic₁₁	—	2	1	no	—
459	Dic₁₁	—	2	1	no	—
460	Dic₁₁	—	2	1	no	—
461	Dic₁₁	—	2	1	no	—
462	Dic₁₁	—	2	1	no	—
463	Dic₁₁	—	2	1	no	—
464	Dic₁₁	—	2	1	no	—
465	Dic₁₁	—	2	1	no	—
466	Dic₁₁	2₋¹⁺⁴	1	2	yes	—
467	Dic₁₁	2₋¹⁺⁴	1	2	yes	—
468	C₄⋊Q₈	—	11	1	no	—
469	C₄⋊Q₈	—	11	1	no	—
470	C₄⋊Q₈	—	11	1	no	—
471	C₄⋊Q₈	—	11	1	no	—
472	C₄⋊Q₈	—	11	1	no	—
473	C₄⋊Q₈	—	11	1	no	—
474	C₄⋊Q₈	—	11	1	no	—
475	C₄⋊Q₈	—	11	1	no	—
476	C₄⋊Q₈	—	11	1	no	—
477	C₄⋊Q₈	—	11	1	no	—
478	C₄⋊Q₈	—	11	1	no	—
479	C₄⋊Q₈	—	11	1	no	—
480	C₄⋊Q₈	—	11	1	no	—
481	C₄⋊Q₈	—	11	1	no	—
482	C₄⋊Q₈	—	11	1	no	—
483	C₄⋊Q₈	—	11	1	no	—
484	C₄⋊Q₈	—	11	1	no	—
485	C₄⋊Q₈	C₂×D₁₁	1	1	yes	characteristic
486	#126	—	11	1	no	—
487	#126	—	11	1	no	—
488	#126	—	11	1	no	—
489	#126	—	11	1	no	—
490	#126	—	11	1	no	—
491	#126	—	11	1	no	—
492	#126	—	11	1	no	—
493	#126	—	11	1	no	—
494	#126	—	11	1	no	—
495	#126	—	11	1	no	—
496	#126	—	11	1	no	—
497	#126	—	11	1	no	—
498	#126	—	11	1	no	—
499	#126	—	11	1	no	—
500	#126	—	11	1	no	—
501	#126	—	11	1	no	—
502	#126	—	11	1	no	—
503	#126	—	11	1	no	—
504	#126	—	11	1	no	—
505	#126	—	11	1	no	—
506	#126	—	11	1	no	—
507	#126	—	11	1	no	—
508	#126	C₂×D₁₁	1	1	yes	characteristic
509	#126	C₂×D₁₁	1	1	yes	characteristic
510	#126	C₂×D₁₁	1	1	yes	characteristic
511	#126	C₂×D₁₁	1	1	yes	characteristic
512	#125	—	11	1	no	—
513	#125	—	11	1	no	—
514	#125	—	11	1	no	—
515	#125	—	11	1	no	—
516	#125	—	11	1	no	—
517	#125	—	11	1	no	—
518	#125	—	11	1	no	—
519	#125	—	11	1	no	—
520	#125	—	11	1	no	—
521	#125	—	11	1	no	—
522	#125	—	11	1	no	—
523	#125	—	11	1	no	—
524	#125	—	11	1	no	—
525	#125	—	11	1	no	—
526	#125	—	11	1	no	—
527	#125	—	11	1	no	—
528	#125	—	11	1	no	—
529	#125	—	11	1	no	—
530	#125	—	11	1	no	—
531	#125	—	11	1	no	—
532	#125	—	11	1	no	—
533	#125	—	11	1	no	—
534	#125	—	11	1	no	—
535	#125	—	11	1	no	—
536	#125	C₂×D₁₁	1	1	yes	characteristic
537	#125	C₂×D₁₁	1	1	yes	characteristic
538	#125	C₂×D₁₁	1	1	yes	characteristic
539	#125	C₂×D₁₁	1	1	yes	characteristic
540	#125	C₂×D₁₁	1	1	yes	characteristic
541	#124	—	11	1	no	—
542	#124	—	11	1	no	—
543	#124	—	11	1	no	—
544	#124	—	11	1	no	—
545	#124	—	11	1	no	—
546	#124	—	11	1	no	—
547	#124	—	11	1	no	—
548	#123	—	11	1	no	—
549	#123	—	11	1	no	—
550	#123	—	11	1	no	—
551	#123	—	11	1	no	—
552	#123	—	11	1	no	—
553	#123	—	11	1	no	—
554	C₂²⋊Q₈	—	11	1	no	—
555	C₂²⋊Q₈	—	11	1	no	—
556	C₂²⋊Q₈	—	11	1	no	—
557	C₂²⋊Q₈	—	11	1	no	—
558	C₂²⋊Q₈	—	11	1	no	—
559	C₂²⋊Q₈	—	11	1	no	—
560	C₂²⋊Q₈	—	11	1	no	—
561	C₂²⋊Q₈	—	11	1	no	—
562	C₂²⋊Q₈	—	11	1	no	—
563	C₂²⋊Q₈	—	11	1	no	—
564	C₂²⋊Q₈	—	11	1	no	—
565	C₂²⋊Q₈	—	11	1	no	—
566	C₂²⋊Q₈	—	11	1	no	—
567	C₂²⋊Q₈	—	11	1	no	—
568	C₂²⋊Q₈	—	11	1	no	—
569	C₂²⋊Q₈	—	11	1	no	—
570	C₂²⋊Q₈	—	11	1	no	—
571	C₂²⋊Q₈	—	11	1	no	—
572	C₂²⋊Q₈	—	11	1	no	—
573	C₂²⋊Q₈	—	11	1	no	—
574	C₂²⋊Q₈	—	11	1	no	—
575	C₂²⋊Q₈	—	11	1	no	—
576	C₂²⋊Q₈	—	11	1	no	—
577	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic
578	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic
579	#121	—	11	1	no	—
580	C₄×Q₈	—	11	1	no	—
581	C₄×Q₈	—	11	1	no	—
582	C₄×Q₈	—	11	1	no	—
583	C₄×Q₈	—	11	1	no	—
584	C₄×Q₈	—	11	1	no	—
585	C₄×Q₈	—	11	1	no	—
586	C₄×Q₈	—	11	1	no	—
587	C₄×Q₈	—	11	1	no	—
588	C₄×Q₈	—	11	1	no	—
589	C₄×Q₈	—	11	1	no	—
590	C₄×Q₈	—	11	1	no	—
591	C₄×Q₈	—	11	1	no	—
592	C₄×Q₈	—	11	1	no	—
593	C₄×Q₈	—	11	1	no	—
594	C₄×Q₈	—	11	1	no	—
595	C₄×Q₈	—	11	1	no	—
596	C₄×Q₈	—	11	1	no	—
597	C₄×Q₈	—	11	1	no	—
598	C₄×Q₈	—	11	1	no	—
599	C₄×Q₈	—	11	1	no	—
600	C₄×Q₈	—	11	1	no	—
601	C₄×Q₈	C₂×D₁₁	1	1	yes	characteristic
602	C₄×Q₈	C₂×D₁₁	1	1	yes	characteristic
603	C₄×D₄	—	11	1	no	—
604	C₄×D₄	—	11	1	no	—
605	C₄×D₄	—	11	1	no	—
606	C₄×D₄	—	11	1	no	—
607	C₄×D₄	—	11	1	no	—
608	#117	—	11	1	no	—
609	#117	—	11	1	no	—
610	#117	—	11	1	no	—
611	#117	—	11	1	no	—
612	#117	—	11	1	no	—
613	#117	—	11	1	no	—
614	#117	—	11	1	no	—
615	#117	—	11	1	no	—
616	#117	—	11	1	no	—
617	#117	—	11	1	no	—
618	#117	—	11	1	no	—
619	#117	C₂×D₁₁	1	1	yes	characteristic
620	C₂×C₄⋊C₄	—	11	1	no	—
621	C₂×C₄⋊C₄	—	11	1	no	—
622	C₂×C₄²	—	11	1	no	—
623	C₂×C₁₁	—	4	1	no	—
624	C₂×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
625	C₂×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
626	C₂×C₁₁	#585	1	1	yes	characteristic
627	D₁₁	—	4	1	no	—
628	D₁₁	—	4	1	no	—
629	C₂×Q₈	—	11	1	no	—
630	C₂×Q₈	—	11	1	no	—
631	C₂×Q₈	—	11	1	no	—
632	C₂×Q₈	—	11	1	no	—
633	C₂×Q₈	—	11	1	no	—
634	C₂×Q₈	—	11	1	no	—
635	C₂×Q₈	—	11	1	no	—
636	C₂×Q₈	—	11	1	no	—
637	C₂×Q₈	—	11	1	no	—
638	C₂×Q₈	—	11	1	no	—
639	C₂×Q₈	—	11	1	no	—
640	C₂×Q₈	C₂²×D₁₁	1	1	yes	characteristic
641	C₂×Q₈	C₂²×D₁₁	1	1	yes	characteristic
642	C₂×D₄	—	11	1	no	—
643	C₂×D₄	—	11	1	no	—
644	C₂×D₄	—	11	1	no	—
645	C₂²×C₄	—	11	1	no	—
646	C₂²×C₄	—	11	1	no	—
647	C₂²×C₄	—	11	1	no	—
648	C₂²×C₄	—	11	1	no	—
649	C₂²×C₄	—	11	1	no	—
650	C₂²×C₄	—	11	1	no	—
651	C₂²×C₄	—	11	1	no	—
652	C₂²×C₄	—	11	1	no	—
653	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
654	C₄⋊C₄	—	11	1	no	—
655	C₄⋊C₄	—	11	1	no	—
656	C₄⋊C₄	—	11	1	no	—
657	C₄⋊C₄	—	11	1	no	—
658	C₄⋊C₄	—	11	1	no	—
659	C₄⋊C₄	—	11	1	no	—
660	C₄⋊C₄	—	11	1	no	—
661	C₄⋊C₄	—	11	1	no	—
662	C₄⋊C₄	—	11	1	no	—
663	C₄⋊C₄	—	11	1	no	—
664	C₄⋊C₄	—	11	1	no	—
665	C₄⋊C₄	—	11	1	no	—
666	C₄⋊C₄	—	11	1	no	—
667	C₄⋊C₄	—	11	1	no	—
668	C₄⋊C₄	—	11	1	no	—
669	C₄⋊C₄	—	11	1	no	—
670	C₄⋊C₄	—	11	1	no	—
671	C₄⋊C₄	—	11	1	no	—
672	C₄⋊C₄	—	11	1	no	—
673	C₄⋊C₄	—	11	1	no	—
674	C₄⋊C₄	—	11	1	no	—
675	C₄⋊C₄	—	11	1	no	—
676	C₄⋊C₄	—	11	1	no	—
677	C₄⋊C₄	—	11	1	no	—
678	C₄⋊C₄	—	11	1	no	—
679	C₄⋊C₄	—	11	1	no	—
680	C₄⋊C₄	—	11	1	no	—
681	C₄⋊C₄	—	11	1	no	—
682	C₄⋊C₄	—	11	1	no	—
683	C₄⋊C₄	—	11	1	no	—
684	C₄⋊C₄	—	11	1	no	—
685	C₄⋊C₄	—	11	1	no	—
686	C₄⋊C₄	—	11	1	no	—
687	C₄⋊C₄	—	11	1	no	—
688	C₄⋊C₄	—	11	1	no	—
689	C₄⋊C₄	—	11	1	no	—
690	C₄⋊C₄	—	11	1	no	—
691	C₄⋊C₄	—	11	1	no	—
692	C₄⋊C₄	—	11	1	no	—
693	C₄⋊C₄	—	11	1	no	—
694	C₄⋊C₄	—	11	1	no	—
695	C₄⋊C₄	—	11	1	no	—
696	C₄⋊C₄	—	11	1	no	—
697	C₄⋊C₄	—	11	1	no	—
698	C₄⋊C₄	—	11	1	no	—
699	C₄⋊C₄	—	11	1	no	—
700	C₄⋊C₄	—	11	1	no	—
701	C₄⋊C₄	—	11	1	no	—
702	C₄⋊C₄	—	11	1	no	—
703	C₄⋊C₄	—	11	1	no	—
704	C₄⋊C₄	—	11	1	no	—
705	C₄⋊C₄	—	11	1	no	—
706	C₄⋊C₄	—	11	1	no	—
707	C₄⋊C₄	—	11	1	no	—
708	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
709	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
710	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
711	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
712	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
713	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
714	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
715	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
716	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
717	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
718	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
719	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
720	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
721	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
722	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
723	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
724	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
725	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
726	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
727	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
728	C₂²⋊C₄	—	11	1	no	—
729	C₂²⋊C₄	—	11	1	no	—
730	C₂²⋊C₄	—	11	1	no	—
731	C₂²⋊C₄	—	11	1	no	—
732	C₂²⋊C₄	—	11	1	no	—
733	C₂²⋊C₄	—	11	1	no	—
734	C₂²⋊C₄	—	11	1	no	—
735	C₂²⋊C₄	—	11	1	no	—
736	C₂²⋊C₄	—	11	1	no	—
737	C₂²⋊C₄	—	11	1	no	—
738	C₂²⋊C₄	—	11	1	no	—
739	C₂²⋊C₄	—	11	1	no	—
740	C₂²⋊C₄	—	11	1	no	—
741	C₂²⋊C₄	—	11	1	no	—
742	C₂²⋊C₄	—	11	1	no	—
743	C₂²⋊C₄	—	11	1	no	—
744	C₂²⋊C₄	—	11	1	no	—
745	C₂²⋊C₄	—	11	1	no	—
746	C₂²⋊C₄	—	11	1	no	—
747	C₂²⋊C₄	—	11	1	no	—
748	C₂²⋊C₄	—	11	1	no	—
749	C₂²⋊C₄	—	11	1	no	—
750	C₂²⋊C₄	—	11	1	no	—
751	C₂²⋊C₄	—	11	1	no	—
752	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
753	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
754	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
755	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
756	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
757	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
758	C₄²	—	11	1	no	—
759	C₄²	—	11	1	no	—
760	C₄²	—	11	1	no	—
761	C₄²	—	11	1	no	—
762	C₄²	—	11	1	no	—
763	C₄²	—	11	1	no	—
764	C₄²	—	11	1	no	—
765	C₄²	—	11	1	no	—
766	C₄²	—	11	1	no	—
767	C₄²	—	11	1	no	—
768	C₄²	—	11	1	no	—
769	C₄²	—	11	1	no	—
770	C₄²	—	11	1	no	—
771	C₄²	—	11	1	no	—
772	C₄²	—	11	1	no	—
773	C₄²	—	11	1	no	—
774	C₄²	—	11	1	no	—
775	C₄²	—	11	1	no	—
776	C₄²	—	11	1	no	—
777	C₄²	—	11	1	no	—
778	C₄²	C₂²×D₁₁	1	1	yes	characteristic
779	C₄²	C₂²×D₁₁	1	1	yes	characteristic
780	C₄²	C₂²×D₁₁	1	1	yes	characteristic
781	C₄²	C₂²×D₁₁	1	1	yes	characteristic
782	C₄²	C₂²×D₁₁	1	1	yes	characteristic
783	C₄²	C₂²×D₁₁	1	1	yes	characteristic
784	C₁₁	#3555	1	1	yes	characteristic, complemented, Sylow
785	C₂³	—	11	1	no	—
786	C₂³	—	11	1	no	—
787	C₂³	C₂³×D₁₁	1	1	yes	characteristic
788	Q₈	—	4	1	no	—
789	Q₈	—	4	1	no	—
790	Q₈	—	22	2	no	—
791	Q₈	—	22	2	no	—
792	Q₈	—	22	2	no	—
793	Q₈	—	22	2	no	—
794	Q₈	—	22	2	no	—
795	Q₈	—	44	1	no	—
796	Q₈	—	44	1	no	—
797	Q₈	—	44	1	no	—
798	Q₈	—	44	1	no	—
799	Q₈	—	44	1	no	—
800	Q₈	—	44	1	no	—
801	D₄	—	22	2	no	—
802	D₄	—	44	1	no	—
803	D₄	—	44	1	no	—
804	C₂×C₄	—	4	1	no	—
805	C₂×C₄	—	11	1	no	—
806	C₂×C₄	—	11	1	no	—
807	C₂×C₄	—	11	1	no	—
808	C₂×C₄	—	11	1	no	—
809	C₂×C₄	—	11	1	no	—
810	C₂×C₄	—	11	1	no	—
811	C₂×C₄	—	11	1	no	—
812	C₂×C₄	—	11	1	no	—
813	C₂×C₄	—	11	1	no	—
814	C₂×C₄	—	11	1	no	—
815	C₂×C₄	—	11	1	no	—
816	C₂×C₄	—	11	1	no	—
817	C₂×C₄	—	11	1	no	—
818	C₂×C₄	—	11	1	no	—
819	C₂×C₄	—	22	2	no	—
820	C₂×C₄	—	22	2	no	—
821	C₂×C₄	—	22	2	no	—
822	C₂×C₄	—	22	2	no	—
823	C₂×C₄	—	44	1	no	—
824	C₂×C₄	—	44	1	no	—
825	C₂×C₄	—	44	1	no	—
826	C₂×C₄	—	44	1	no	—
827	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
828	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
829	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
830	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
831	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
832	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
833	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
834	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
835	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
836	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
837	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
838	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
839	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
840	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
841	C₂²	—	2	1	no	—
842	C₂²	—	2	1	no	—
843	C₂²	—	2	1	no	—
844	C₂²	—	22	1	no	—
845	C₂²	—	22	1	no	—
846	C₂²	—	22	1	no	—
847	C₂²	—	22	1	no	—
848	C₂²	—	22	1	no	—
849	C₂²	—	22	1	no	—
850	C₂²	C₂⁴×D₁₁	1	1	yes	characteristic
851	C₄	—	2	1	no	—
852	C₄	—	2	1	no	—
853	C₄	—	2	1	no	—
854	C₄	—	2	1	no	—
855	C₄	—	2	1	no	—
856	C₄	—	2	1	no	—
857	C₄	—	2	1	no	—
858	C₄	—	2	1	no	—
859	C₄	—	2	1	no	—
860	C₄	—	2	1	no	—
861	C₄	—	2	1	no	—
862	C₄	—	2	1	no	—
863	C₄	—	2	1	no	—
864	C₄	—	2	1	no	—
865	C₄	—	11	2	no	—
866	C₄	—	11	2	no	—
867	C₄	—	22	1	no	—
868	C₄	—	22	1	no	—
869	C₄	—	22	1	no	—
870	C₄	—	22	1	no	—
871	C₄	—	22	1	no	—
872	C₄	—	22	1	no	—
873	C₄	—	22	1	no	—
874	C₄	—	22	1	no	—
875	C₄	—	22	1	no	—
876	C₄	—	22	1	no	—
877	C₄	—	22	1	no	—
878	C₄	—	22	1	no	—
879	C₂	—	4	1	no	—
880	C₂	—	44	1	no	—
881	C₂	—	44	1	no	—
882	C₂	#10623453	1	1	yes	characteristic
883	C₂	D₁₁×2₋¹⁺⁴	1	1	yes	characteristic
884	C₂	D₁₁×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₁
commutator, socle, cosocle	C₂²×C₁₁	C₂⁵
Fitting	C₁₁×#541	C₂
prime radical	#66937	C₂²
hypercenter	#541	D₁₁
hypocenter	C₁₁	#3555
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ #541

Complements

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

N	H ≅ G/N	type
1. C₁₁×#541	C₂	semidirect
2. #10623266	C₂	semidirect
3. #10623253	C₂	semidirect
4. #10623243	C₂	semidirect
7. #10623233	C₂	semidirect
8. #10623233	C₂	semidirect
9. #10623233	C₂	semidirect
10. #10623232	C₂	semidirect
11. #10623232	C₂	semidirect
12. #10623230	C₂	semidirect
13. #10623227	C₂	semidirect
14. #10623227	C₂	semidirect
15. #10623227	C₂	semidirect
16. #10623227	C₂	semidirect
17. #10623224	C₂	semidirect
18. #10623220	C₂	semidirect
19. #10623219	C₂	semidirect
20. #10623216	C₂	semidirect
21. #10623216	C₂	semidirect
22. #10623177	C₂	semidirect
24. #10623167	C₂	semidirect
25. #10623154	C₂	semidirect
26. #10623114	C₂	semidirect
27. #10623109	C₂	semidirect
28. #10623099	C₂	semidirect
29. #10623098	C₂	semidirect
30. #10623064	C₂	semidirect
31. #10623062	C₂	semidirect
426. #541	D₁₁	semidirect
784. C₁₁	#3555	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#541	2
#10623266	2
#10623253	2
#10623243	2
#10623241	2
#10623237	2
#10623233	2
#10623232	2
#10623230	2
#10623227	2
#10623224	2
#10623220	2
#10623219	2
#10623216	2
#10623177	2
#10623171	2
#10623167	2
#10623154	2
#10623114	2
#10623109	2
#10623099	2
#10623098	2
#10623064	2
#10623062	2
#3555	11