Subgroups — #13082359

Order 1408.

1022 conjugacy classes of subgroups.

The subgroup lattice has 934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	#10623241	C₂	1	1	yes	maximal, characteristic, complemented
3	#10623239	C₂	1	1	yes	maximal, characteristic, complemented
4	#10623237	C₂	1	1	yes	maximal, characteristic, complemented
5	#10623233	C₂	1	1	yes	maximal, characteristic, complemented
6	#10623227	C₂	1	1	yes	maximal, characteristic, complemented
7	#10623227	C₂	1	1	yes	maximal, characteristic, complemented
8	#10623224	C₂	1	1	yes	maximal, characteristic, complemented
9	#10623224	C₂	1	1	yes	maximal, characteristic, complemented
10	#10623221	C₂	1	1	yes	maximal, characteristic, complemented
11	#10623219	C₂	1	1	yes	maximal, characteristic, complemented
12	#10623189	C₂	1	1	yes	maximal, characteristic, complemented
13	#10623187	C₂	1	1	yes	maximal, characteristic
14	#10623181	C₂	1	1	yes	maximal, characteristic, complemented
15	#10623179	C₂	1	1	yes	maximal, characteristic, complemented
16	#10623171	C₂	1	1	yes	maximal, characteristic, complemented
17	#10623168	C₂	1	1	yes	maximal, characteristic, complemented
18	#10623167	C₂	1	1	yes	maximal, characteristic, complemented
19	#10623154	C₂	1	1	yes	maximal, characteristic, complemented
20	#10623109	C₂	1	1	yes	maximal, characteristic, complemented
21	#10623099	C₂	1	1	yes	maximal, characteristic, complemented
22	#10623087	C₂	1	1	yes	maximal, characteristic, complemented
23	#10623077	C₂	1	1	yes	maximal, characteristic, complemented
24	#10623062	C₂	1	1	yes	maximal, characteristic, complemented
25	#10623062	C₂	1	1	yes	maximal, characteristic, complemented
26	#10623059	C₂	1	1	yes	maximal, characteristic, complemented
27	#10623058	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₁×#117	C₂	1	1	yes	maximal, characteristic, complemented
29	#10623047	C₂	1	1	yes	maximal, characteristic, complemented
30	#10623044	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#66949	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4341	C₂²	1	1	yes	characteristic
33	C₂²×C₄×D₁₁	C₂²	1	1	yes	characteristic
34	C₂²×Dic₂₂	C₂²	1	1	yes	characteristic
35	C₁₁×#126	C₂²	1	1	yes	characteristic, complemented
36	C₁₁×#126	C₂²	1	1	yes	characteristic, complemented
37	C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
38	C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
39	C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
40	C₁₁×#123	C₂²	1	1	yes	characteristic
41	C₁₁×#123	C₂²	1	1	yes	characteristic
42	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
45	C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
46	C₁₁×#117	C₂²	1	1	yes	characteristic
47	C₁₁×#117	C₂²	1	1	yes	characteristic
48	C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	#67000	C₂²	1	1	yes	characteristic
51	#66999	C₂²	1	1	yes	characteristic
52	#66997	C₂²	1	1	yes	characteristic, complemented
53	#66997	C₂²	1	1	yes	characteristic, complemented
54	#66990	C₂²	1	1	yes	characteristic
55	#66988	C₂²	1	1	yes	characteristic
56	D₄×Dic₁₁	C₂²	1	1	yes	characteristic
57	#66982	C₂²	1	1	yes	characteristic
58	#66982	C₂²	1	1	yes	characteristic
59	#66982	C₂²	1	1	yes	characteristic
60	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
61	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
62	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
63	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
64	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
65	#66979	C₂²	1	1	yes	characteristic
66	#66979	C₂²	1	1	yes	characteristic
67	#66977	C₂²	1	1	yes	characteristic
68	C₂×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
69	C₂×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
70	C₂×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic, complemented
71	#66951	C₂²	1	1	yes	characteristic
72	#66951	C₂²	1	1	yes	characteristic
73	#66951	C₂²	1	1	yes	characteristic
74	#66951	C₂²	1	1	yes	characteristic
75	#66951	C₂²	1	1	yes	characteristic
76	#66951	C₂²	1	1	yes	characteristic
77	#66951	C₂²	1	1	yes	characteristic, complemented
78	#66951	C₂²	1	1	yes	characteristic, complemented
79	#66951	C₂²	1	1	yes	characteristic, complemented
80	#66950	C₂²	1	1	yes	characteristic
81	#66950	C₂²	1	1	yes	characteristic, complemented
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	#66949	C₂²	1	1	yes	characteristic
87	#66949	C₂²	1	1	yes	characteristic
88	#66949	C₂²	1	1	yes	characteristic
89	#66949	C₂²	1	1	yes	characteristic
90	#66949	C₂²	1	1	yes	characteristic
91	#66949	C₂²	1	1	yes	characteristic
92	#66949	C₂²	1	1	yes	characteristic
93	#66949	C₂²	1	1	yes	characteristic
94	#66949	C₂²	1	1	yes	characteristic, complemented
95	#66949	C₂²	1	1	yes	characteristic, complemented
96	#66949	C₂²	1	1	yes	characteristic, complemented
97	#66947	C₂²	1	1	yes	characteristic
98	#66947	C₂²	1	1	yes	characteristic
99	#66947	C₂²	1	1	yes	characteristic
100	#66947	C₂²	1	1	yes	characteristic
101	#66946	C₂²	1	1	yes	characteristic
102	#66946	C₂²	1	1	yes	characteristic
103	#66946	C₂²	1	1	yes	characteristic
104	#66945	C₂²	1	1	yes	characteristic
105	#66945	C₂²	1	1	yes	characteristic
106	#66945	C₂²	1	1	yes	characteristic
107	#66945	C₂²	1	1	yes	characteristic
108	#66945	C₂²	1	1	yes	characteristic, complemented
109	C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
110	C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
111	C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
112	#66943	C₂²	1	1	yes	characteristic, complemented
113	#66943	C₂²	1	1	yes	characteristic, complemented
114	#66942	C₂²	1	1	yes	characteristic, complemented
115	#66942	C₂²	1	1	yes	characteristic, complemented
116	#66942	C₂²	1	1	yes	characteristic, complemented
117	#66942	C₂²	1	1	yes	characteristic, complemented
118	#66942	C₂²	1	1	yes	characteristic, complemented
119	#66942	C₂²	1	1	yes	characteristic, complemented
120	#66942	C₂²	1	1	yes	characteristic, complemented
121	#66942	C₂²	1	1	yes	characteristic, complemented
122	#66942	C₂²	1	1	yes	characteristic, complemented
123	#66942	C₂²	1	1	yes	characteristic, complemented
124	#66941	C₂²	1	1	yes	characteristic, complemented
125	#66941	C₂²	1	1	yes	characteristic, complemented
126	#66941	C₂²	1	1	yes	characteristic, complemented
127	#66941	C₂²	1	1	yes	characteristic, complemented
128	#66940	C₂²	1	1	yes	characteristic, complemented
129	#66940	C₂²	1	1	yes	characteristic, complemented
130	#66940	C₂²	1	1	yes	characteristic, complemented
131	#66940	C₂²	1	1	yes	characteristic, complemented
132	#66940	C₂²	1	1	yes	characteristic, complemented
133	#66940	C₂²	1	1	yes	characteristic, complemented
134	#66940	C₂²	1	1	yes	characteristic, complemented
135	#66939	C₂²	1	1	yes	characteristic
136	#66939	C₂²	1	1	yes	characteristic
137	#66938	C₂²	1	1	yes	characteristic
138	#66938	C₂²	1	1	yes	characteristic
139	#66938	C₂²	1	1	yes	characteristic, complemented
140	#66938	C₂²	1	1	yes	characteristic, complemented
141	#66937	C₂²	1	1	yes	characteristic
142	#66937	C₂²	1	1	yes	characteristic
143	#66936	C₂²	1	1	yes	characteristic
144	#66936	C₂²	1	1	yes	characteristic
145	#66935	C₂²	1	1	yes	characteristic
146	(C₂²⋊D₁₁)⋊C₄	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	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
152	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
153	#66932	C₂²	1	1	yes	characteristic, complemented
154	#66932	C₂²	1	1	yes	characteristic, complemented
155	#66931	C₂²	1	1	yes	characteristic
156	#66931	C₂²	1	1	yes	characteristic
157	#66931	C₂²	1	1	yes	characteristic, complemented
158	#66931	C₂²	1	1	yes	characteristic, complemented
159	#66931	C₂²	1	1	yes	characteristic, complemented
160	#66930	C₂²	1	1	yes	characteristic
161	#66930	C₂²	1	1	yes	characteristic
162	#66930	C₂²	1	1	yes	characteristic
163	#66930	C₂²	1	1	yes	characteristic
164	#66930	C₂²	1	1	yes	characteristic
165	#66930	C₂²	1	1	yes	characteristic, complemented
166	#66930	C₂²	1	1	yes	characteristic, complemented
167	#66929	C₂²	1	1	yes	characteristic
168	#66929	C₂²	1	1	yes	characteristic
169	#66929	C₂²	1	1	yes	characteristic, complemented
170	#66928	C₂²	1	1	yes	characteristic
171	C₄×D₄₄	C₂²	1	1	yes	characteristic
172	#66925	C₂²	1	1	yes	characteristic
173	#66925	C₂²	1	1	yes	characteristic
174	#66925	C₂²	1	1	yes	characteristic
175	#66925	C₂²	1	1	yes	characteristic
176	#66925	C₂²	1	1	yes	characteristic, complemented
177	#66925	C₂²	1	1	yes	characteristic, complemented
178	C₄²×D₁₁	C₂²	1	1	yes	characteristic
179	C₄²×D₁₁	C₂²	1	1	yes	characteristic
180	#66923	C₂²	1	1	yes	characteristic, complemented
181	C₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
182	C₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
183	C₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
184	C₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
185	C₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
186	C₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₁	C₂³	1	1	yes	characteristic
188	C₂×Q₈×C₁₁	C₂³	1	1	yes	characteristic
189	C₂×D₄×C₁₁	C₂³	1	1	yes	characteristic
190	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
191	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
192	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
193	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
194	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
195	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
198	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
199	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
200	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
201	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
203	#4341	—	2	4	no	—
204	C₂×D₄₄	C₂³	1	1	yes	characteristic
205	C₂×D₄₄	C₂³	1	1	yes	characteristic
206	C₂×C₄×D₁₁	—	2	4	no	—
207	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
208	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
209	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
210	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
211	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
212	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
213	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
214	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
215	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
217	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
218	C₂×Dic₂₂	—	2	4	no	—
219	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
220	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
221	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
222	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
223	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
224	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
225	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
226	C₂×Dic₂₂	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₄²×C₁₁	C₂³	1	1	yes	characteristic
252	C₄²×C₁₁	C₂³	1	1	yes	characteristic
253	C₄²×C₁₁	C₂³	1	1	yes	characteristic
254	C₄²×C₁₁	C₂³	1	1	yes	characteristic
255	C₄²×C₁₁	C₂³	1	1	yes	characteristic
256	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
257	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
258	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
259	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
260	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
261	C₂²⋊Dic₁₁	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	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
269	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
270	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
271	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
272	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
273	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
274	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
275	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
276	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
277	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
278	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
279	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
280	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
281	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
282	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
283	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
286	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
287	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
288	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
289	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
290	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
291	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
292	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
293	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
294	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
295	C₄⋊Dic₁₁	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	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
323	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
324	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
325	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
326	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
327	Dic₁₁⋊C₄	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	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
343	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
344	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
345	#3495	—	11	1	no	maximal, Sylow
346	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
347	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
348	C₂²×D₁₁	—	2	2	no	—
349	C₂²×D₁₁	—	2	2	no	—
350	C₂²×D₁₁	—	4	1	no	—
351	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
352	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
353	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
354	Q₈×C₁₁	—	4	1	no	—
355	D₄×C₁₁	—	2	2	no	—
356	C₂×C₄×C₁₁	—	2	2	no	—
357	C₂×C₄×C₁₁	—	2	2	no	—
358	C₂×C₄×C₁₁	—	4	1	no	—
359	C₂×C₄×C₁₁	—	4	1	no	—
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	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
364	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
365	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
366	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
367	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
368	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
369	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
370	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
371	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
372	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
373	C₂²⋊D₁₁	—	2	2	no	—
374	C₂²⋊D₁₁	—	2	2	no	—
375	C₂²⋊D₁₁	—	2	2	no	—
376	C₂²⋊D₁₁	—	4	1	no	—
377	C₂×Dic₁₁	—	2	2	no	—
378	C₂×Dic₁₁	—	2	2	no	—
379	C₂×Dic₁₁	—	4	1	no	—
380	C₂×Dic₁₁	—	4	1	no	—
381	C₂×Dic₁₁	#41	1	4	yes	—
382	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
383	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
384	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
385	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
386	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
387	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
388	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
389	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
390	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
391	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
392	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
393	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
394	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
395	D₄₄	—	2	2	no	—
396	D₄₄	—	4	1	no	—
397	C₄×D₁₁	—	2	2	no	—
398	C₄×D₁₁	—	2	2	no	—
399	C₄×D₁₁	—	2	2	no	—
400	C₄×D₁₁	—	2	2	no	—
401	C₄×D₁₁	—	2	2	no	—
402	C₄×D₁₁	—	2	2	no	—
403	C₄×D₁₁	—	2	2	no	—
404	C₄×D₁₁	—	4	1	no	—
405	C₄×D₁₁	—	4	1	no	—
406	C₄×D₁₁	—	4	1	no	—
407	C₄×D₁₁	—	4	1	no	—
408	Dic₂₂	—	2	2	no	—
409	Dic₂₂	—	2	2	no	—
410	Dic₂₂	—	2	2	no	—
411	Dic₂₂	—	2	2	no	—
412	Dic₂₂	—	2	2	no	—
413	Dic₂₂	—	4	1	no	—
414	Dic₂₂	—	4	1	no	—
415	Dic₂₂	—	4	1	no	—
416	#556	—	11	1	no	—
417	#556	—	11	1	no	—
418	#554	—	11	1	no	—
419	#554	—	11	1	no	—
420	#552	—	11	1	no	—
421	#552	—	11	1	no	—
422	#552	—	11	1	no	—
423	#552	—	11	1	no	—
424	#552	—	11	1	no	—
425	#552	—	11	1	no	—
426	#552	—	11	1	no	—
427	#552	D₁₁	1	1	yes	characteristic, complemented
428	#551	—	11	1	no	—
429	#551	—	11	1	no	—
430	#551	—	11	1	no	—
431	#551	—	11	1	no	—
432	#544	—	11	1	no	—
433	#542	—	11	1	no	—
434	#542	—	11	1	no	—
435	#541	—	11	1	no	—
436	#541	—	11	1	no	—
437	#536	—	11	1	no	—
438	#533	—	11	1	no	—
439	#533	—	11	1	no	—
440	#529	—	11	1	no	—
441	#529	—	11	1	no	—
442	#525	—	11	1	no	—
443	C₂×C₂²⋊Q₈	—	11	1	no	—
444	#520	—	11	1	no	—
445	#519	—	11	1	no	—
446	C₂×#117	—	11	1	no	—
447	C₂²×C₁₁	—	2	1	no	—
448	C₂²×C₁₁	—	2	1	no	—
449	C₂²×C₁₁	—	2	1	no	—
450	C₂²×C₁₁	—	2	1	no	—
451	C₂²×C₁₁	—	2	1	no	—
452	C₂²×C₁₁	C₂×#41	1	2	yes	—
453	C₂²×C₁₁	C₂⁵	1	1	yes	characteristic
454	C₂×D₁₁	—	2	1	no	—
455	C₂×D₁₁	—	2	1	no	—
456	C₂×D₁₁	—	2	1	no	—
457	C₂×D₁₁	—	2	1	no	—
458	C₂×D₁₁	—	2	1	no	—
459	C₂×D₁₁	—	2	1	no	—
460	C₂×D₁₁	—	2	1	no	—
461	C₂×D₁₁	—	2	1	no	—
462	C₂×D₁₁	—	4	4	no	—
463	C₂×D₁₁	2₋¹⁺⁴	1	2	yes	—
464	C₄×C₁₁	—	2	1	no	—
465	C₄×C₁₁	—	2	1	no	—
466	C₄×C₁₁	—	2	1	no	—
467	C₄×C₁₁	—	2	1	no	—
468	C₄×C₁₁	—	2	1	no	—
469	C₄×C₁₁	—	2	1	no	—
470	C₄×C₁₁	—	2	1	no	—
471	C₄×C₁₁	—	2	1	no	—
472	C₄×C₁₁	—	2	1	no	—
473	C₄×C₁₁	—	2	1	no	—
474	C₄×C₁₁	—	2	1	no	—
475	C₄×C₁₁	—	2	1	no	—
476	C₄×C₁₁	—	2	1	no	—
477	Dic₁₁	—	2	1	no	—
478	Dic₁₁	—	2	1	no	—
479	Dic₁₁	—	2	1	no	—
480	Dic₁₁	—	2	1	no	—
481	Dic₁₁	—	2	1	no	—
482	Dic₁₁	—	2	1	no	—
483	Dic₁₁	—	2	1	no	—
484	Dic₁₁	—	2	1	no	—
485	Dic₁₁	—	2	1	no	—
486	Dic₁₁	—	2	1	no	—
487	Dic₁₁	—	2	1	no	—
488	Dic₁₁	C₂×#41	1	2	yes	—
489	Dic₁₁	C₂×#41	1	2	yes	—
490	C₂×#41	—	11	1	no	—
491	C₂²×Q₈	—	11	1	no	—
492	C₂³×C₄	—	11	1	no	—
493	C₄⋊Q₈	—	11	1	no	—
494	C₄⋊Q₈	—	11	1	no	—
495	C₄⋊Q₈	—	11	1	no	—
496	C₄⋊Q₈	—	11	1	no	—
497	C₄⋊Q₈	—	11	1	no	—
498	C₄⋊Q₈	—	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	—	11	1	no	—
509	#126	—	11	1	no	—
510	#126	—	11	1	no	—
511	#126	—	11	1	no	—
512	#126	—	11	1	no	—
513	#126	C₂×D₁₁	1	1	yes	characteristic, complemented
514	#126	C₂×D₁₁	1	1	yes	characteristic, complemented
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	C₂×D₁₁	1	1	yes	characteristic, complemented
529	#125	C₂×D₁₁	1	1	yes	characteristic, complemented
530	#125	C₂×D₁₁	1	1	yes	characteristic, complemented
531	#124	—	11	1	no	—
532	#124	—	11	1	no	—
533	#124	—	11	1	no	—
534	#124	—	11	1	no	—
535	#124	—	11	1	no	—
536	#124	—	11	1	no	—
537	#123	—	11	1	no	—
538	#123	—	11	1	no	—
539	#123	—	11	1	no	—
540	#123	—	11	1	no	—
541	#123	—	11	1	no	—
542	#123	—	11	1	no	—
543	#123	—	11	1	no	—
544	#123	—	11	1	no	—
545	#123	—	11	1	no	—
546	#123	—	11	1	no	—
547	#123	—	11	1	no	—
548	#123	—	11	1	no	—
549	#123	C₂×D₁₁	1	1	yes	characteristic
550	#123	C₂×D₁₁	1	1	yes	characteristic
551	C₂²⋊Q₈	—	11	1	no	—
552	C₂²⋊Q₈	—	11	1	no	—
553	C₂²⋊Q₈	—	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	C₂×D₁₁	1	1	yes	characteristic
576	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
577	#121	—	11	1	no	—
578	#121	—	11	1	no	—
579	#120	—	11	1	no	—
580	#120	—	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	C₂×D₁₁	1	1	yes	characteristic, complemented
595	C₄×D₄	—	11	1	no	—
596	C₄×D₄	—	11	1	no	—
597	C₄×D₄	—	11	1	no	—
598	C₄×D₄	—	11	1	no	—
599	C₄×D₄	—	11	1	no	—
600	C₄×D₄	—	11	1	no	—
601	C₄×D₄	—	11	1	no	—
602	C₄×D₄	—	11	1	no	—
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	C₄×D₄	C₂×D₁₁	1	1	yes	characteristic
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	—	11	1	no	—
620	#117	—	11	1	no	—
621	#117	—	11	1	no	—
622	#117	—	11	1	no	—
623	#117	—	11	1	no	—
624	#117	—	11	1	no	—
625	#117	—	11	1	no	—
626	#117	—	11	1	no	—
627	#117	—	11	1	no	—
628	#117	—	11	1	no	—
629	#117	C₂×D₁₁	1	1	yes	characteristic
630	#117	C₂×D₁₁	1	1	yes	characteristic
631	#117	C₂×D₁₁	1	1	yes	characteristic, complemented
632	C₂×C₄⋊C₄	—	11	1	no	—
633	C₂×C₄⋊C₄	—	11	1	no	—
634	C₂×C₄⋊C₄	—	11	1	no	—
635	C₂×C₄⋊C₄	—	11	1	no	—
636	C₂×C₄⋊C₄	—	11	1	no	—
637	C₂×C₄⋊C₄	—	11	1	no	—
638	C₂×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic
639	C₂×C₂²⋊C₄	—	11	1	no	—
640	C₂×C₂²⋊C₄	—	11	1	no	—
641	C₂×C₂²⋊C₄	—	11	1	no	—
642	C₂×C₂²⋊C₄	—	11	1	no	—
643	C₂×C₄²	—	11	1	no	—
644	C₂×C₄²	—	11	1	no	—
645	C₂×C₁₁	—	2	2	no	—
646	C₂×C₁₁	—	4	1	no	—
647	C₂×C₁₁	C₂²×#41	1	1	yes	characteristic
648	C₂×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
649	C₂×C₁₁	#585	1	1	yes	characteristic
650	D₁₁	—	2	2	no	—
651	D₁₁	—	4	1	no	—
652	D₁₁	—	4	1	no	—
653	C₂⁴	—	11	1	no	—
654	#41	—	22	4	no	—
655	C₂×Q₈	—	11	1	no	—
656	C₂×Q₈	—	11	1	no	—
657	C₂×Q₈	—	11	1	no	—
658	C₂×Q₈	—	11	1	no	—
659	C₂×Q₈	—	11	1	no	—
660	C₂×Q₈	—	11	1	no	—
661	C₂×Q₈	—	11	1	no	—
662	C₂×Q₈	—	11	1	no	—
663	C₂×Q₈	—	22	4	no	—
664	C₂×Q₈	C₂²×D₁₁	1	1	yes	characteristic
665	C₂×D₄	—	11	1	no	—
666	C₂×D₄	—	11	1	no	—
667	C₂×D₄	—	11	1	no	—
668	C₂×D₄	—	11	1	no	—
669	C₂×D₄	—	11	1	no	—
670	C₂×D₄	—	11	1	no	—
671	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
672	C₂²×C₄	—	11	1	no	—
673	C₂²×C₄	—	11	1	no	—
674	C₂²×C₄	—	11	1	no	—
675	C₂²×C₄	—	11	1	no	—
676	C₂²×C₄	—	11	1	no	—
677	C₂²×C₄	—	11	1	no	—
678	C₂²×C₄	—	11	1	no	—
679	C₂²×C₄	—	11	1	no	—
680	C₂²×C₄	—	11	1	no	—
681	C₂²×C₄	—	11	1	no	—
682	C₂²×C₄	—	11	1	no	—
683	C₂²×C₄	—	11	1	no	—
684	C₂²×C₄	—	11	1	no	—
685	C₂²×C₄	—	11	1	no	—
686	C₂²×C₄	—	11	1	no	—
687	C₂²×C₄	—	11	1	no	—
688	C₂²×C₄	—	22	4	no	—
689	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
690	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
691	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
692	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
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	—	11	1	no	—
709	C₄⋊C₄	—	11	1	no	—
710	C₄⋊C₄	—	11	1	no	—
711	C₄⋊C₄	—	11	1	no	—
712	C₄⋊C₄	—	11	1	no	—
713	C₄⋊C₄	—	11	1	no	—
714	C₄⋊C₄	—	11	1	no	—
715	C₄⋊C₄	—	11	1	no	—
716	C₄⋊C₄	—	11	1	no	—
717	C₄⋊C₄	—	11	1	no	—
718	C₄⋊C₄	—	11	1	no	—
719	C₄⋊C₄	—	11	1	no	—
720	C₄⋊C₄	—	11	1	no	—
721	C₄⋊C₄	—	11	1	no	—
722	C₄⋊C₄	—	11	1	no	—
723	C₄⋊C₄	—	11	1	no	—
724	C₄⋊C₄	—	11	1	no	—
725	C₄⋊C₄	—	11	1	no	—
726	C₄⋊C₄	—	11	1	no	—
727	C₄⋊C₄	—	11	1	no	—
728	C₄⋊C₄	—	11	1	no	—
729	C₄⋊C₄	—	11	1	no	—
730	C₄⋊C₄	—	11	1	no	—
731	C₄⋊C₄	—	11	1	no	—
732	C₄⋊C₄	—	11	1	no	—
733	C₄⋊C₄	—	11	1	no	—
734	C₄⋊C₄	—	11	1	no	—
735	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
736	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
737	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
738	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
739	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
740	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
741	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
742	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
743	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
744	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
745	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
746	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
747	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
748	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
749	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
750	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
751	C₂²⋊C₄	—	11	1	no	—
752	C₂²⋊C₄	—	11	1	no	—
753	C₂²⋊C₄	—	11	1	no	—
754	C₂²⋊C₄	—	11	1	no	—
755	C₂²⋊C₄	—	11	1	no	—
756	C₂²⋊C₄	—	11	1	no	—
757	C₂²⋊C₄	—	11	1	no	—
758	C₂²⋊C₄	—	11	1	no	—
759	C₂²⋊C₄	—	11	1	no	—
760	C₂²⋊C₄	—	11	1	no	—
761	C₂²⋊C₄	—	11	1	no	—
762	C₂²⋊C₄	—	11	1	no	—
763	C₂²⋊C₄	—	11	1	no	—
764	C₂²⋊C₄	—	11	1	no	—
765	C₂²⋊C₄	—	11	1	no	—
766	C₂²⋊C₄	—	11	1	no	—
767	C₂²⋊C₄	—	11	1	no	—
768	C₂²⋊C₄	—	11	1	no	—
769	C₂²⋊C₄	—	11	1	no	—
770	C₂²⋊C₄	—	11	1	no	—
771	C₂²⋊C₄	—	11	1	no	—
772	C₂²⋊C₄	—	11	1	no	—
773	C₂²⋊C₄	—	11	1	no	—
774	C₂²⋊C₄	—	11	1	no	—
775	C₂²⋊C₄	—	11	1	no	—
776	C₂²⋊C₄	—	11	1	no	—
777	C₂²⋊C₄	—	11	1	no	—
778	C₂²⋊C₄	—	11	1	no	—
779	C₂²⋊C₄	—	11	1	no	—
780	C₂²⋊C₄	—	11	1	no	—
781	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
782	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
783	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
784	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
785	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
786	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
787	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
788	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
789	C₄²	—	11	1	no	—
790	C₄²	—	11	1	no	—
791	C₄²	—	11	1	no	—
792	C₄²	—	11	1	no	—
793	C₄²	—	11	1	no	—
794	C₄²	—	11	1	no	—
795	C₄²	—	11	1	no	—
796	C₄²	—	11	1	no	—
797	C₄²	—	11	1	no	—
798	C₄²	—	11	1	no	—
799	C₄²	—	11	1	no	—
800	C₄²	—	11	1	no	—
801	C₄²	—	11	1	no	—
802	C₄²	—	11	1	no	—
803	C₄²	—	11	1	no	—
804	C₄²	—	11	1	no	—
805	C₄²	—	11	1	no	—
806	C₄²	C₂²×D₁₁	1	1	yes	characteristic
807	C₄²	C₂²×D₁₁	1	1	yes	characteristic
808	C₄²	C₂²×D₁₁	1	1	yes	characteristic
809	C₄²	C₂²×D₁₁	1	1	yes	characteristic
810	C₄²	C₂²×D₁₁	1	1	yes	characteristic
811	C₁₁	#3495	1	1	yes	characteristic, complemented, Sylow
812	C₂³	—	11	1	no	—
813	C₂³	—	11	1	no	—
814	C₂³	—	11	1	no	—
815	C₂³	—	22	2	no	—
816	C₂³	—	22	2	no	—
817	C₂³	—	44	1	no	—
818	C₂³	C₂³×D₁₁	1	1	yes	characteristic
819	C₂³	C₂³×D₁₁	1	1	yes	characteristic
820	Q₈	—	4	1	no	—
821	Q₈	—	22	2	no	—
822	Q₈	—	22	2	no	—
823	Q₈	—	22	2	no	—
824	Q₈	—	22	2	no	—
825	Q₈	—	22	2	no	—
826	Q₈	—	44	1	no	—
827	Q₈	—	44	1	no	—
828	Q₈	—	44	1	no	—
829	D₄	—	2	2	no	—
830	D₄	—	22	2	no	—
831	D₄	—	22	2	no	—
832	D₄	—	22	2	no	—
833	D₄	—	22	2	no	—
834	D₄	—	44	1	no	—
835	D₄	—	44	1	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	2	2	no	—
838	C₂×C₄	—	4	1	no	—
839	C₂×C₄	—	4	1	no	—
840	C₂×C₄	—	11	4	no	—
841	C₂×C₄	—	11	1	no	—
842	C₂×C₄	—	11	1	no	—
843	C₂×C₄	—	11	1	no	—
844	C₂×C₄	—	11	1	no	—
845	C₂×C₄	—	11	1	no	—
846	C₂×C₄	—	11	1	no	—
847	C₂×C₄	—	11	1	no	—
848	C₂×C₄	—	11	1	no	—
849	C₂×C₄	—	11	1	no	—
850	C₂×C₄	—	11	1	no	—
851	C₂×C₄	—	11	1	no	—
852	C₂×C₄	—	11	1	no	—
853	C₂×C₄	—	11	1	no	—
854	C₂×C₄	—	22	2	no	—
855	C₂×C₄	—	22	2	no	—
856	C₂×C₄	—	22	2	no	—
857	C₂×C₄	—	22	2	no	—
858	C₂×C₄	—	22	2	no	—
859	C₂×C₄	—	22	2	no	—
860	C₂×C₄	—	22	2	no	—
861	C₂×C₄	—	22	2	no	—
862	C₂×C₄	—	22	2	no	—
863	C₂×C₄	—	44	1	no	—
864	C₂×C₄	—	44	1	no	—
865	C₂×C₄	—	44	1	no	—
866	C₂×C₄	—	44	1	no	—
867	C₂×C₄	—	44	1	no	—
868	C₂×C₄	—	44	1	no	—
869	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
870	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
871	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
872	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
873	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
874	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
875	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
876	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
877	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
878	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
879	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
880	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
881	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
882	C₂²	—	2	1	no	—
883	C₂²	—	2	1	no	—
884	C₂²	—	2	1	no	—
885	C₂²	—	2	1	no	—
886	C₂²	—	2	1	no	—
887	C₂²	—	11	2	no	—
888	C₂²	—	22	1	no	—
889	C₂²	—	22	1	no	—
890	C₂²	—	22	1	no	—
891	C₂²	—	22	1	no	—
892	C₂²	—	22	1	no	—
893	C₂²	—	22	1	no	—
894	C₂²	—	22	1	no	—
895	C₂²	—	22	1	no	—
896	C₂²	—	44	4	no	—
897	C₂²	#41×D₁₁	1	2	yes	—
898	C₂²	C₂⁴×D₁₁	1	1	yes	characteristic
899	C₄	—	2	1	no	—
900	C₄	—	2	1	no	—
901	C₄	—	2	1	no	—
902	C₄	—	2	1	no	—
903	C₄	—	2	1	no	—
904	C₄	—	2	1	no	—
905	C₄	—	2	1	no	—
906	C₄	—	2	1	no	—
907	C₄	—	2	1	no	—
908	C₄	—	2	1	no	—
909	C₄	—	2	1	no	—
910	C₄	—	2	1	no	—
911	C₄	—	2	1	no	—
912	C₄	—	11	2	no	—
913	C₄	—	11	2	no	—
914	C₄	—	22	1	no	—
915	C₄	—	22	1	no	—
916	C₄	—	22	1	no	—
917	C₄	—	22	1	no	—
918	C₄	—	22	1	no	—
919	C₄	—	22	1	no	—
920	C₄	—	22	1	no	—
921	C₄	—	22	1	no	—
922	C₄	—	22	1	no	—
923	C₄	—	22	1	no	—
924	C₄	—	22	1	no	—
925	C₂	—	2	2	no	—
926	C₂	—	4	1	no	—
927	C₂	—	22	2	no	—
928	C₂	—	44	1	no	—
929	C₂	—	44	1	no	—
930	C₂	C₂×#41×D₁₁	1	1	yes	characteristic
931	C₂	#10623453	1	1	yes	characteristic
932	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×#552	C₂
prime radical	#10623187	C₂
hypercenter	#552	D₁₁
hypocenter	C₁₁	#3495
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ #552

Complements

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

N	H ≅ G/N	type
1. C₁₁×#552	C₂	semidirect
2. #10623241	C₂	semidirect
3. #10623239	C₂	semidirect
4. #10623237	C₂	semidirect
5. #10623233	C₂	semidirect
6. #10623227	C₂	semidirect
7. #10623227	C₂	semidirect
8. #10623224	C₂	semidirect
9. #10623224	C₂	semidirect
10. #10623221	C₂	semidirect
11. #10623219	C₂	semidirect
12. #10623189	C₂	semidirect
14. #10623181	C₂	semidirect
15. #10623179	C₂	semidirect
16. #10623171	C₂	semidirect
17. #10623168	C₂	semidirect
18. #10623167	C₂	semidirect
19. #10623154	C₂	semidirect
20. #10623109	C₂	semidirect
21. #10623099	C₂	semidirect
22. #10623087	C₂	semidirect
23. #10623077	C₂	semidirect
24. #10623062	C₂	semidirect
25. #10623062	C₂	semidirect
26. #10623059	C₂	semidirect
27. #10623058	C₂	semidirect
28. D₁₁×#117	C₂	semidirect
29. #10623047	C₂	semidirect
30. #10623044	C₂	semidirect
31. C₂×#66949	C₂	semidirect
35. C₁₁×#126	C₂²	semidirect
36. C₁₁×#126	C₂²	semidirect
37. C₁₁×#125	C₂²	semidirect
38. C₁₁×#125	C₂²	semidirect
39. C₁₁×#125	C₂²	semidirect
43. C₁₁×C₂²⋊Q₈	C₂²	semidirect
44. C₄×Q₈×C₁₁	C₂²	semidirect
48. C₁₁×#117	C₂²	semidirect
52. #66997	C₂²	semidirect
53. #66997	C₂²	semidirect
62. C₄×C₂²⋊D₁₁	C₂²	semidirect
70. C₂×Dic₁₁⋊C₄	C₂²	semidirect
77. #66951	C₂²	semidirect
78. #66951	C₂²	semidirect
79. #66951	C₂²	semidirect
81. #66950	C₂²	semidirect
94. #66949	C₂²	semidirect
95. #66949	C₂²	semidirect
96. #66949	C₂²	semidirect
108. #66945	C₂²	semidirect
111. C₄⋊C₄×D₁₁	C₂²	semidirect
112. #66943	C₂²	semidirect
113. #66943	C₂²	semidirect
114. #66942	C₂²	semidirect
115. #66942	C₂²	semidirect
116. #66942	C₂²	semidirect
117. #66942	C₂²	semidirect
118. #66942	C₂²	semidirect
119. #66942	C₂²	semidirect
120. #66942	C₂²	semidirect
121. #66942	C₂²	semidirect
122. #66942	C₂²	semidirect
123. #66942	C₂²	semidirect
124. #66941	C₂²	semidirect
125. #66941	C₂²	semidirect
126. #66941	C₂²	semidirect
127. #66941	C₂²	semidirect
128. #66940	C₂²	semidirect
129. #66940	C₂²	semidirect
130. #66940	C₂²	semidirect
131. #66940	C₂²	semidirect
132. #66940	C₂²	semidirect
133. #66940	C₂²	semidirect
134. #66940	C₂²	semidirect
139. #66938	C₂²	semidirect
140. #66938	C₂²	semidirect
150. (C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
153. #66932	C₂²	semidirect
154. #66932	C₂²	semidirect
157. #66931	C₂²	semidirect
158. #66931	C₂²	semidirect
159. #66931	C₂²	semidirect
165. #66930	C₂²	semidirect
166. #66930	C₂²	semidirect
169. #66929	C₂²	semidirect
176. #66925	C₂²	semidirect
177. #66925	C₂²	semidirect
180. #66923	C₂²	semidirect
181. C₄×Dic₂₂	C₂²	semidirect
182. C₄×Dic₂₂	C₂²	semidirect
183. C₄×Dic₂₂	C₂²	semidirect
184. C₄×Dic₂₂	C₂²	semidirect
185. C₄×Dic₂₂	C₂²	semidirect
186. C₄×Dic₂₂	C₂²	semidirect
427. #552	D₁₁	semidirect
513. #126	C₂×D₁₁	semidirect
514. #126	C₂×D₁₁	semidirect
528. #125	C₂×D₁₁	semidirect
529. #125	C₂×D₁₁	semidirect
530. #125	C₂×D₁₁	semidirect
576. C₂²⋊Q₈	C₂×D₁₁	semidirect
594. C₄×Q₈	C₂×D₁₁	semidirect
631. #117	C₂×D₁₁	semidirect
811. C₁₁	#3495	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#552	2
#10623241	2
#10623239	2
#10623237	2
#10623233	2
#10623227	2
#10623224	2
#10623221	2
#10623219	2
#10623189	2
#10623187	2
#10623181	2
#10623179	2
#10623171	2
#10623168	2
#10623167	2
#10623154	2
#10623109	2
#10623099	2
#10623087	2
#10623077	2
#10623062	2
#10623059	2
#10623058	2
D₁₁×#117	2
#10623047	2
#10623044	2
C₂×#66949	2
#3495	11