Subgroups — #13082786

Order 1408.

1060 conjugacy classes of subgroups.

The subgroup lattice has 1016 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#547	C₂	1	1	yes	maximal, characteristic, complemented
2	#10623361	C₂	1	1	yes	maximal, characteristic, complemented
3	#10623360	C₂	1	1	yes	maximal, characteristic, complemented
4	#10623359	C₂	1	1	yes	maximal, characteristic, complemented
5	#10623355	C₂	1	1	yes	maximal, characteristic, complemented
6	#10623266	C₂	1	1	yes	maximal, characteristic, complemented
7	#10623264	C₂	1	1	yes	maximal, characteristic, complemented
8	#10623198	C₂	1	1	yes	maximal, characteristic, complemented
9	#10623195	C₂	1	1	yes	maximal, characteristic, complemented
10	#10623194	C₂	1	1	yes	maximal, characteristic, complemented
11	#10623189	C₂	1	1	yes	maximal, characteristic, complemented
12	#10623188	C₂	1	1	yes	maximal, characteristic, complemented
13	#10623187	C₂	1	1	yes	maximal, characteristic, complemented
14	#10623184	C₂	1	1	yes	maximal, characteristic, complemented
15	#10623181	C₂	1	1	yes	maximal, characteristic, complemented
16	#10623178	C₂	1	1	yes	maximal, characteristic, complemented
17	#10623176	C₂	1	1	yes	maximal, characteristic, complemented
18	#10623171	C₂	1	1	yes	maximal, characteristic, complemented
19	#10623168	C₂	1	1	yes	maximal, characteristic, complemented
20	#10623151	C₂	1	1	yes	maximal, characteristic, complemented
21	#10623148	C₂	1	1	yes	maximal, characteristic, complemented
22	#10623146	C₂	1	1	yes	maximal, characteristic, complemented
23	#10623141	C₂	1	1	yes	maximal, characteristic, complemented
24	#10623091	C₂	1	1	yes	maximal, characteristic, complemented
25	#10623091	C₂	1	1	yes	maximal, characteristic, complemented
26	#10623087	C₂	1	1	yes	maximal, characteristic, complemented
27	#10623071	C₂	1	1	yes	maximal, characteristic, complemented
28	#10623046	C₂	1	1	yes	maximal, characteristic, complemented
29	#10623045	C₂	1	1	yes	maximal, characteristic, complemented
30	#10623044	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#66947	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₁×#41	C₂²	1	1	yes	characteristic
33	C₂×C₁₁×#41	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4341	C₂²	1	1	yes	characteristic
35	C₂×D₄×D₁₁	C₂²	1	1	yes	characteristic
36	C₂²×D₄₄	C₂²	1	1	yes	characteristic
37	C₂²×C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
38	C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₁₁×#123	C₂²	1	1	yes	characteristic
40	C₁₁×#123	C₂²	1	1	yes	characteristic, complemented
41	C₁₁×#123	C₂²	1	1	yes	characteristic, complemented
42	C₁₁×#123	C₂²	1	1	yes	characteristic, complemented
43	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₁₁×#121	C₂²	1	1	yes	characteristic
46	C₁₁×#121	C₂²	1	1	yes	characteristic, complemented
47	C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
48	C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
51	#67000	C₂²	1	1	yes	characteristic
52	#67000	C₂²	1	1	yes	characteristic, complemented
53	#67000	C₂²	1	1	yes	characteristic, complemented
54	#66999	C₂²	1	1	yes	characteristic, complemented
55	#66999	C₂²	1	1	yes	characteristic, complemented
56	#66999	C₂²	1	1	yes	characteristic, complemented
57	#66999	C₂²	1	1	yes	characteristic, complemented
58	#66997	C₂²	1	1	yes	characteristic, complemented
59	#66993	C₂²	1	1	yes	characteristic
60	#66993	C₂²	1	1	yes	characteristic, complemented
61	#66992	C₂²	1	1	yes	characteristic
62	#66992	C₂²	1	1	yes	characteristic, complemented
63	#66992	C₂²	1	1	yes	characteristic, complemented
64	#66992	C₂²	1	1	yes	characteristic, complemented
65	#66992	C₂²	1	1	yes	characteristic, complemented
66	#66992	C₂²	1	1	yes	characteristic, complemented
67	#66991	C₂²	1	1	yes	characteristic, complemented
68	#66991	C₂²	1	1	yes	characteristic, complemented
69	#66990	C₂²	1	1	yes	characteristic
70	#66990	C₂²	1	1	yes	characteristic
71	#66990	C₂²	1	1	yes	characteristic
72	#66990	C₂²	1	1	yes	characteristic, complemented
73	#66990	C₂²	1	1	yes	characteristic, complemented
74	#66990	C₂²	1	1	yes	characteristic, complemented
75	#66990	C₂²	1	1	yes	characteristic, complemented
76	#66988	C₂²	1	1	yes	characteristic
77	#66988	C₂²	1	1	yes	characteristic, complemented
78	#66988	C₂²	1	1	yes	characteristic, complemented
79	D₄×Dic₁₁	C₂²	1	1	yes	characteristic
80	D₄×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
81	#66983	C₂²	1	1	yes	characteristic
82	#66983	C₂²	1	1	yes	characteristic
83	#66983	C₂²	1	1	yes	characteristic, complemented
84	#66983	C₂²	1	1	yes	characteristic, complemented
85	#66983	C₂²	1	1	yes	characteristic, complemented
86	#66983	C₂²	1	1	yes	characteristic, complemented
87	#66982	C₂²	1	1	yes	characteristic
88	#66982	C₂²	1	1	yes	characteristic
89	#66982	C₂²	1	1	yes	characteristic, complemented
90	#66982	C₂²	1	1	yes	characteristic, complemented
91	#66982	C₂²	1	1	yes	characteristic, complemented
92	#66982	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
94	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
95	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
96	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
97	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
98	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
99	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
100	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
101	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
102	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
103	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
104	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
105	#66979	C₂²	1	1	yes	characteristic, complemented
106	#66979	C₂²	1	1	yes	characteristic, complemented
107	#66977	C₂²	1	1	yes	characteristic, complemented
108	#66977	C₂²	1	1	yes	characteristic, complemented
109	C₂×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic, complemented
110	C₂×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic, complemented
111	#66951	C₂²	1	1	yes	characteristic, complemented
112	#66951	C₂²	1	1	yes	characteristic, complemented
113	#66951	C₂²	1	1	yes	characteristic, complemented
114	#66951	C₂²	1	1	yes	characteristic, complemented
115	#66951	C₂²	1	1	yes	characteristic, complemented
116	#66951	C₂²	1	1	yes	characteristic, complemented
117	#66951	C₂²	1	1	yes	characteristic, complemented
118	#66951	C₂²	1	1	yes	characteristic, complemented
119	#66950	C₂²	1	1	yes	characteristic, complemented
120	#66950	C₂²	1	1	yes	characteristic, complemented
121	#66949	C₂²	1	1	yes	characteristic, complemented
122	#66949	C₂²	1	1	yes	characteristic, complemented
123	#66949	C₂²	1	1	yes	characteristic, complemented
124	#66949	C₂²	1	1	yes	characteristic, complemented
125	#66948	C₂²	1	1	yes	characteristic
126	#66948	C₂²	1	1	yes	characteristic
127	#66947	C₂²	1	1	yes	characteristic
128	#66947	C₂²	1	1	yes	characteristic
129	#66947	C₂²	1	1	yes	characteristic
130	#66947	C₂²	1	1	yes	characteristic
131	#66947	C₂²	1	1	yes	characteristic
132	#66947	C₂²	1	1	yes	characteristic
133	#66947	C₂²	1	1	yes	characteristic, complemented
134	#66947	C₂²	1	1	yes	characteristic, complemented
135	#66947	C₂²	1	1	yes	characteristic, complemented
136	#66947	C₂²	1	1	yes	characteristic, complemented
137	#66947	C₂²	1	1	yes	characteristic, complemented
138	#66947	C₂²	1	1	yes	characteristic, complemented
139	#66946	C₂²	1	1	yes	characteristic, complemented
140	#66946	C₂²	1	1	yes	characteristic, complemented
141	#66945	C₂²	1	1	yes	characteristic, complemented
142	#66945	C₂²	1	1	yes	characteristic, complemented
143	#66943	C₂²	1	1	yes	characteristic, complemented
144	#66943	C₂²	1	1	yes	characteristic, complemented
145	#66942	C₂²	1	1	yes	characteristic, complemented
146	#66942	C₂²	1	1	yes	characteristic, complemented
147	#66942	C₂²	1	1	yes	characteristic, complemented
148	#66942	C₂²	1	1	yes	characteristic, complemented
149	#66940	C₂²	1	1	yes	characteristic, complemented
150	#66940	C₂²	1	1	yes	characteristic, complemented
151	#66939	C₂²	1	1	yes	characteristic, complemented
152	#66939	C₂²	1	1	yes	characteristic, complemented
153	#66939	C₂²	1	1	yes	characteristic, complemented
154	#66938	C₂²	1	1	yes	characteristic, complemented
155	#66938	C₂²	1	1	yes	characteristic, complemented
156	#66938	C₂²	1	1	yes	characteristic, complemented
157	#66938	C₂²	1	1	yes	characteristic, complemented
158	#66938	C₂²	1	1	yes	characteristic, complemented
159	#66938	C₂²	1	1	yes	characteristic, complemented
160	#66937	C₂²	1	1	yes	characteristic
161	#66937	C₂²	1	1	yes	characteristic
162	#66937	C₂²	1	1	yes	characteristic, complemented
163	#66937	C₂²	1	1	yes	characteristic, complemented
164	#66937	C₂²	1	1	yes	characteristic, complemented
165	#66937	C₂²	1	1	yes	characteristic, complemented
166	#66936	C₂²	1	1	yes	characteristic, complemented
167	#66936	C₂²	1	1	yes	characteristic, complemented
168	#66935	C₂²	1	1	yes	characteristic
169	#66935	C₂²	1	1	yes	characteristic
170	#66935	C₂²	1	1	yes	characteristic
171	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
173	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
176	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
177	#66932	C₂²	1	1	yes	characteristic, complemented
178	#66932	C₂²	1	1	yes	characteristic, complemented
179	#66931	C₂²	1	1	yes	characteristic, complemented
180	#66931	C₂²	1	1	yes	characteristic, complemented
181	#66930	C₂²	1	1	yes	characteristic, complemented
182	#66930	C₂²	1	1	yes	characteristic, complemented
183	#66929	C₂²	1	1	yes	characteristic, complemented
184	#66929	C₂²	1	1	yes	characteristic, complemented
185	#66928	C₂²	1	1	yes	characteristic, complemented
186	#66925	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₁	C₂³	1	1	yes	characteristic
188	C₂³×D₁₁	C₂³	1	1	yes	characteristic
189	C₂³×D₁₁	C₂³	1	1	yes	characteristic
190	C₁₁×#41	—	4	2	no	—
191	C₁₁×#41	—	4	2	no	—
192	C₂×Q₈×C₁₁	C₂³	1	1	yes	characteristic
193	C₂×Q₈×C₁₁	C₂³	1	1	yes	characteristic
194	C₂×D₄×C₁₁	C₂³	1	1	yes	characteristic
195	C₂×D₄×C₁₁	C₂³	1	1	yes	characteristic
196	C₂×D₄×C₁₁	C₂³	1	1	yes	characteristic
197	C₂×D₄×C₁₁	C₂³	1	1	yes	characteristic
198	C₂×D₄×C₁₁	C₂³	1	1	yes	characteristic
199	C₂×D₄×C₁₁	C₂³	1	1	yes	characteristic
200	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
201	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
202	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
203	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
204	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
205	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
206	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
207	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
222	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
223	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
224	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
225	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
226	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
227	#4341	—	4	2	no	—
228	D₄×D₁₁	—	4	2	no	—
229	C₂×D₄₄	—	4	2	no	—
230	C₂×D₄₄	C₂³	1	1	yes	characteristic
231	C₂×D₄₄	C₂³	1	1	yes	characteristic
232	C₂×D₄₄	C₂³	1	1	yes	characteristic
233	C₂×D₄₄	C₂³	1	1	yes	characteristic
234	C₂×D₄₄	C₂³	1	1	yes	characteristic
235	C₂×D₄₄	C₂³	1	1	yes	characteristic
236	C₂×D₄₄	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₁₁	—	4	2	no	—
238	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
240	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
247	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
248	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
249	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
250	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₄²×C₁₁	C₂³	1	1	yes	characteristic
269	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
270	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
271	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
272	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
273	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
274	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
275	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
276	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
278	C₂²⋊Dic₁₁	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	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
311	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
312	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
313	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
314	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
315	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
316	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
317	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
318	C₄⋊Dic₁₁	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	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
329	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
330	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
331	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
332	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
333	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
334	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
335	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
336	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
337	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
338	Dic₁₁⋊C₄	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	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
346	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
347	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
348	#3533	—	11	1	no	maximal, Sylow
349	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
350	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
351	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
352	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
353	C₂²×D₁₁	—	2	2	no	—
354	C₂²×D₁₁	—	2	2	no	—
355	C₂²×D₁₁	—	4	1	no	—
356	C₂²×D₁₁	—	4	1	no	—
357	C₂²×D₁₁	—	4	1	no	—
358	C₂²×D₁₁	—	4	1	no	—
359	C₂²×D₁₁	—	4	1	no	—
360	C₂²×D₁₁	—	4	1	no	—
361	C₂²×D₁₁	—	4	1	no	—
362	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
363	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
364	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
365	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
366	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
367	Q₈×C₁₁	—	4	1	no	—
368	Q₈×C₁₁	—	4	1	no	—
369	D₄×C₁₁	—	2	2	no	—
370	D₄×C₁₁	—	2	2	no	—
371	D₄×C₁₁	—	2	2	no	—
372	D₄×C₁₁	—	4	1	no	—
373	D₄×C₁₁	—	4	1	no	—
374	D₄×C₁₁	—	4	1	no	—
375	C₂×C₄×C₁₁	—	2	2	no	—
376	C₂×C₄×C₁₁	—	2	2	no	—
377	C₂×C₄×C₁₁	—	4	1	no	—
378	C₂×C₄×C₁₁	—	4	1	no	—
379	C₂×C₄×C₁₁	—	4	1	no	—
380	C₂×C₄×C₁₁	—	4	1	no	—
381	C₂×C₄×C₁₁	—	4	1	no	—
382	C₂×C₄×C₁₁	—	4	1	no	—
383	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
384	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
385	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
386	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
387	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
388	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
389	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
390	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
391	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
392	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
393	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
394	C₂²⋊D₁₁	—	2	2	no	—
395	C₂²⋊D₁₁	—	4	1	no	—
396	C₂²⋊D₁₁	—	4	1	no	—
397	C₂²⋊D₁₁	—	4	1	no	—
398	C₂²⋊D₁₁	—	4	1	no	—
399	C₂²⋊D₁₁	—	4	1	no	—
400	C₂²⋊D₁₁	—	4	1	no	—
401	C₂²⋊D₁₁	—	4	1	no	—
402	C₂²⋊D₁₁	—	4	1	no	—
403	C₂²⋊D₁₁	—	4	1	no	—
404	C₂²⋊D₁₁	—	4	1	no	—
405	C₂²⋊D₁₁	—	4	1	no	—
406	C₂²⋊D₁₁	—	4	1	no	—
407	C₂²⋊D₁₁	—	4	1	no	—
408	C₂×Dic₁₁	—	2	2	no	—
409	C₂×Dic₁₁	—	4	1	no	—
410	C₂×Dic₁₁	—	4	1	no	—
411	C₂×Dic₁₁	—	4	1	no	—
412	C₂×Dic₁₁	—	4	1	no	—
413	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
414	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
415	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
416	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
417	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
418	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
419	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
420	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
422	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
424	D₄₄	—	4	1	no	—
425	D₄₄	—	4	1	no	—
426	D₄₄	—	4	1	no	—
427	D₄₄	—	4	1	no	—
428	D₄₄	—	4	1	no	—
429	D₄₄	—	4	1	no	—
430	D₄₄	—	4	1	no	—
431	C₄×D₁₁	—	4	1	no	—
432	C₄×D₁₁	—	4	1	no	—
433	C₄×D₁₁	—	4	1	no	—
434	C₄×D₁₁	—	4	1	no	—
435	C₄×D₁₁	—	4	1	no	—
436	C₄×D₁₁	—	4	1	no	—
437	C₄×D₁₁	—	4	1	no	—
438	C₄×D₁₁	—	4	1	no	—
439	C₄×D₁₁	—	4	1	no	—
440	Dic₂₂	—	4	1	no	—
441	Dic₂₂	—	4	1	no	—
442	Dic₂₂	—	4	1	no	—
443	#563	—	11	1	no	—
444	#562	—	11	1	no	—
445	#562	—	11	1	no	—
446	#560	—	11	1	no	—
447	#559	—	11	1	no	—
448	#553	—	11	1	no	—
449	#553	—	11	1	no	—
450	#552	—	11	1	no	—
451	#552	—	11	1	no	—
452	#551	—	11	1	no	—
453	#551	—	11	1	no	—
454	#551	—	11	1	no	—
455	#547	—	11	1	no	—
456	#547	D₁₁	1	1	yes	characteristic, complemented
457	#546	—	11	1	no	—
458	#546	—	11	1	no	—
459	#542	—	11	1	no	—
460	#542	—	11	1	no	—
461	#540	—	11	1	no	—
462	#540	—	11	1	no	—
463	#539	—	11	1	no	—
464	#539	—	11	1	no	—
465	#538	—	11	1	no	—
466	#538	—	11	1	no	—
467	#538	—	11	1	no	—
468	#538	—	11	1	no	—
469	#535	—	11	1	no	—
470	#534	—	11	1	no	—
471	#525	—	11	1	no	—
472	#525	—	11	1	no	—
473	C₂×#123	—	11	1	no	—
474	C₂²×C₁₁	—	2	1	no	—
475	C₂²×C₁₁	—	2	1	no	—
476	C₂²×C₁₁	—	2	1	no	—
477	C₂²×C₁₁	—	2	1	no	—
478	C₂²×C₁₁	—	2	1	no	—
479	C₂²×C₁₁	—	2	1	no	—
480	C₂²×C₁₁	—	2	1	no	—
481	C₂²×C₁₁	—	2	1	no	—
482	C₂²×C₁₁	—	2	1	no	—
483	C₂²×C₁₁	—	2	1	no	—
484	C₂²×C₁₁	—	2	1	no	—
485	C₂²×C₁₁	H(5,𝔽₂)	1	2	yes	—
486	C₂²×C₁₁	C₂⁵	1	1	yes	characteristic
487	C₂×D₁₁	—	2	1	no	—
488	C₂×D₁₁	—	2	1	no	—
489	C₂×D₁₁	—	2	1	no	—
490	C₂×D₁₁	—	2	1	no	—
491	C₂×D₁₁	—	2	1	no	—
492	C₂×D₁₁	—	2	1	no	—
493	C₂×D₁₁	—	2	1	no	—
494	C₂×D₁₁	—	2	1	no	—
495	C₂×D₁₁	—	2	1	no	—
496	C₂×D₁₁	—	2	1	no	—
497	C₂×D₁₁	—	2	1	no	—
498	C₂×D₁₁	—	2	1	no	—
499	C₂×D₁₁	—	2	1	no	—
500	C₂×D₁₁	—	2	1	no	—
501	C₂×D₁₁	—	2	1	no	—
502	C₂×D₁₁	—	4	4	no	—
503	C₂×D₁₁	—	8	2	no	—
504	C₂×D₁₁	—	8	2	no	—
505	C₄×C₁₁	—	2	1	no	—
506	C₄×C₁₁	—	2	1	no	—
507	C₄×C₁₁	—	2	1	no	—
508	C₄×C₁₁	—	2	1	no	—
509	C₄×C₁₁	—	2	1	no	—
510	C₄×C₁₁	—	2	1	no	—
511	C₄×C₁₁	—	2	1	no	—
512	C₄×C₁₁	—	2	1	no	—
513	C₄×C₁₁	—	2	1	no	—
514	C₄×C₁₁	—	2	1	no	—
515	C₄×C₁₁	—	2	1	no	—
516	Dic₁₁	—	2	1	no	—
517	Dic₁₁	—	2	1	no	—
518	Dic₁₁	—	2	1	no	—
519	Dic₁₁	—	2	1	no	—
520	Dic₁₁	—	2	1	no	—
521	Dic₁₁	—	2	1	no	—
522	Dic₁₁	—	2	1	no	—
523	Dic₁₁	—	2	1	no	—
524	Dic₁₁	—	2	1	no	—
525	Dic₁₁	—	2	1	no	—
526	Dic₁₁	—	2	1	no	—
527	C₂×#41	—	11	1	no	—
528	C₂×#41	C₂×D₁₁	1	1	yes	characteristic
529	C₂×#41	C₂×D₁₁	1	1	yes	characteristic, complemented
530	C₂²×D₄	—	11	1	no	—
531	C₂²×D₄	—	11	1	no	—
532	C₂³×C₄	—	11	1	no	—
533	C₄⋊Q₈	—	11	1	no	—
534	C₄⋊Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
535	#127	—	11	1	no	—
536	#127	—	11	1	no	—
537	#126	—	11	1	no	—
538	#126	—	11	1	no	—
539	#126	—	11	1	no	—
540	#126	—	11	1	no	—
541	#126	—	11	1	no	—
542	#126	—	11	1	no	—
543	#126	—	11	1	no	—
544	#126	—	11	1	no	—
545	#126	—	11	1	no	—
546	#126	—	11	1	no	—
547	#126	—	11	1	no	—
548	#126	—	11	1	no	—
549	#125	—	11	1	no	—
550	#125	—	11	1	no	—
551	#125	—	11	1	no	—
552	#125	—	11	1	no	—
553	#125	—	11	1	no	—
554	#125	—	11	1	no	—
555	#124	—	11	1	no	—
556	#124	—	11	1	no	—
557	#124	—	11	1	no	—
558	#124	—	11	1	no	—
559	#124	—	11	1	no	—
560	#124	—	11	1	no	—
561	#124	—	11	1	no	—
562	#124	—	11	1	no	—
563	#124	—	11	1	no	—
564	#124	—	11	1	no	—
565	#123	—	11	1	no	—
566	#123	—	11	1	no	—
567	#123	—	11	1	no	—
568	#123	—	11	1	no	—
569	#123	—	11	1	no	—
570	#123	—	11	1	no	—
571	#123	—	11	1	no	—
572	#123	—	11	1	no	—
573	#123	—	11	1	no	—
574	#123	—	11	1	no	—
575	#123	—	11	1	no	—
576	#123	—	11	1	no	—
577	#123	—	11	1	no	—
578	#123	—	11	1	no	—
579	#123	—	11	1	no	—
580	#123	—	11	1	no	—
581	#123	—	11	1	no	—
582	#123	—	11	1	no	—
583	#123	—	11	1	no	—
584	#123	—	11	1	no	—
585	#123	—	11	1	no	—
586	#123	—	11	1	no	—
587	#123	—	11	1	no	—
588	#123	—	11	1	no	—
589	#123	—	11	1	no	—
590	#123	—	11	1	no	—
591	#123	C₂×D₁₁	1	1	yes	characteristic
592	#123	C₂×D₁₁	1	1	yes	characteristic, complemented
593	#123	C₂×D₁₁	1	1	yes	characteristic, complemented
594	#123	C₂×D₁₁	1	1	yes	characteristic, complemented
595	C₂²⋊Q₈	—	11	1	no	—
596	C₂²⋊Q₈	—	11	1	no	—
597	C₂²⋊Q₈	—	11	1	no	—
598	C₂²⋊Q₈	—	11	1	no	—
599	C₂²⋊Q₈	—	11	1	no	—
600	C₂²⋊Q₈	—	11	1	no	—
601	C₂²⋊Q₈	—	11	1	no	—
602	C₂²⋊Q₈	—	11	1	no	—
603	C₂²⋊Q₈	—	11	1	no	—
604	C₂²⋊Q₈	—	11	1	no	—
605	C₂²⋊Q₈	—	11	1	no	—
606	C₂²⋊Q₈	—	11	1	no	—
607	C₂²⋊Q₈	—	11	1	no	—
608	C₂²⋊Q₈	—	11	1	no	—
609	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
610	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
611	#121	—	11	1	no	—
612	#121	—	11	1	no	—
613	#121	—	11	1	no	—
614	#121	—	11	1	no	—
615	#121	—	11	1	no	—
616	#121	—	11	1	no	—
617	#121	—	11	1	no	—
618	#121	—	11	1	no	—
619	#121	—	11	1	no	—
620	#121	—	11	1	no	—
621	#121	—	11	1	no	—
622	#121	—	11	1	no	—
623	#121	—	11	1	no	—
624	#121	—	11	1	no	—
625	#121	—	11	1	no	—
626	#121	—	11	1	no	—
627	#121	—	11	1	no	—
628	#121	—	11	1	no	—
629	#121	—	11	1	no	—
630	#121	—	11	1	no	—
631	#121	—	11	1	no	—
632	#121	—	11	1	no	—
633	#121	C₂×D₁₁	1	1	yes	characteristic
634	#121	C₂×D₁₁	1	1	yes	characteristic, complemented
635	#120	—	11	1	no	—
636	#120	—	11	1	no	—
637	#120	—	11	1	no	—
638	#120	—	11	1	no	—
639	#120	—	11	1	no	—
640	#120	—	11	1	no	—
641	#120	—	11	1	no	—
642	#120	—	11	1	no	—
643	#120	—	11	1	no	—
644	#120	—	11	1	no	—
645	C₄×Q₈	—	11	1	no	—
646	C₄×Q₈	—	11	1	no	—
647	C₄×D₄	—	11	1	no	—
648	C₄×D₄	—	11	1	no	—
649	C₄×D₄	—	11	1	no	—
650	C₄×D₄	—	11	1	no	—
651	C₄×D₄	—	11	1	no	—
652	C₄×D₄	—	11	1	no	—
653	C₄×D₄	—	11	1	no	—
654	C₄×D₄	—	11	1	no	—
655	C₄×D₄	—	11	1	no	—
656	C₄×D₄	—	11	1	no	—
657	C₄×D₄	—	11	1	no	—
658	C₄×D₄	—	11	1	no	—
659	C₄×D₄	—	11	1	no	—
660	C₄×D₄	—	11	1	no	—
661	C₄×D₄	—	11	1	no	—
662	C₄×D₄	—	11	1	no	—
663	C₄×D₄	C₂×D₁₁	1	1	yes	characteristic, complemented
664	C₄×D₄	C₂×D₁₁	1	1	yes	characteristic, complemented
665	#117	—	11	1	no	—
666	#117	—	11	1	no	—
667	#117	—	11	1	no	—
668	#117	—	11	1	no	—
669	#117	—	11	1	no	—
670	#117	—	11	1	no	—
671	#117	—	11	1	no	—
672	C₂×C₄⋊C₄	—	11	1	no	—
673	C₂×C₄⋊C₄	—	11	1	no	—
674	C₂×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic, complemented
675	C₂×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic, complemented
676	C₂×C₂²⋊C₄	—	11	1	no	—
677	C₂×C₂²⋊C₄	—	11	1	no	—
678	C₂×C₂²⋊C₄	—	11	1	no	—
679	C₂×C₂²⋊C₄	—	11	1	no	—
680	C₂×C₂²⋊C₄	—	11	1	no	—
681	C₂×C₂²⋊C₄	—	11	1	no	—
682	C₂×C₁₁	—	2	2	no	—
683	C₂×C₁₁	—	4	1	no	—
684	C₂×C₁₁	—	4	1	no	—
685	C₂×C₁₁	—	4	1	no	—
686	C₂×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
687	C₂×C₁₁	#585	1	1	yes	characteristic
688	C₂×C₁₁	#585	1	1	yes	characteristic
689	D₁₁	—	4	1	no	—
690	D₁₁	—	4	1	no	—
691	D₁₁	—	4	1	no	—
692	D₁₁	—	4	1	no	—
693	D₁₁	—	4	1	no	—
694	C₂⁴	—	11	1	no	—
695	C₂⁴	—	11	1	no	—
696	C₂⁴	—	11	1	no	—
697	#41	—	4	2	no	—
698	#41	—	4	2	no	—
699	#41	—	44	2	no	—
700	C₂×Q₈	—	11	1	no	—
701	C₂×Q₈	—	11	1	no	—
702	C₂×Q₈	—	11	1	no	—
703	C₂×Q₈	C₂²×D₁₁	1	1	yes	characteristic
704	C₂×Q₈	C₂²×D₁₁	1	1	yes	characteristic
705	C₂×D₄	—	11	1	no	—
706	C₂×D₄	—	11	1	no	—
707	C₂×D₄	—	11	1	no	—
708	C₂×D₄	—	11	1	no	—
709	C₂×D₄	—	11	1	no	—
710	C₂×D₄	—	11	1	no	—
711	C₂×D₄	—	11	1	no	—
712	C₂×D₄	—	11	1	no	—
713	C₂×D₄	—	11	1	no	—
714	C₂×D₄	—	11	1	no	—
715	C₂×D₄	—	11	1	no	—
716	C₂×D₄	—	11	1	no	—
717	C₂×D₄	—	11	1	no	—
718	C₂×D₄	—	11	1	no	—
719	C₂×D₄	—	11	1	no	—
720	C₂×D₄	—	11	1	no	—
721	C₂×D₄	—	11	1	no	—
722	C₂×D₄	—	11	1	no	—
723	C₂×D₄	—	11	1	no	—
724	C₂×D₄	—	11	1	no	—
725	C₂×D₄	—	11	1	no	—
726	C₂×D₄	—	44	2	no	—
727	C₂×D₄	—	44	2	no	—
728	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
729	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
730	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
731	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
732	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
733	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
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	—	44	2	no	—
749	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
750	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
751	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
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	C₄⋊C₄	—	11	1	no	—
758	C₄⋊C₄	—	11	1	no	—
759	C₄⋊C₄	—	11	1	no	—
760	C₄⋊C₄	—	11	1	no	—
761	C₄⋊C₄	—	11	1	no	—
762	C₄⋊C₄	—	11	1	no	—
763	C₄⋊C₄	—	11	1	no	—
764	C₄⋊C₄	—	11	1	no	—
765	C₄⋊C₄	—	11	1	no	—
766	C₄⋊C₄	—	11	1	no	—
767	C₄⋊C₄	—	11	1	no	—
768	C₄⋊C₄	—	11	1	no	—
769	C₄⋊C₄	—	11	1	no	—
770	C₄⋊C₄	—	11	1	no	—
771	C₄⋊C₄	—	11	1	no	—
772	C₄⋊C₄	—	11	1	no	—
773	C₄⋊C₄	—	11	1	no	—
774	C₄⋊C₄	—	11	1	no	—
775	C₄⋊C₄	—	11	1	no	—
776	C₄⋊C₄	—	11	1	no	—
777	C₄⋊C₄	—	11	1	no	—
778	C₄⋊C₄	—	11	1	no	—
779	C₄⋊C₄	—	11	1	no	—
780	C₄⋊C₄	—	11	1	no	—
781	C₄⋊C₄	—	11	1	no	—
782	C₄⋊C₄	—	11	1	no	—
783	C₄⋊C₄	—	11	1	no	—
784	C₄⋊C₄	—	11	1	no	—
785	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
786	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
787	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
788	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
789	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
790	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
791	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
792	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
793	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
794	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
795	C₂²⋊C₄	—	11	1	no	—
796	C₂²⋊C₄	—	11	1	no	—
797	C₂²⋊C₄	—	11	1	no	—
798	C₂²⋊C₄	—	11	1	no	—
799	C₂²⋊C₄	—	11	1	no	—
800	C₂²⋊C₄	—	11	1	no	—
801	C₂²⋊C₄	—	11	1	no	—
802	C₂²⋊C₄	—	11	1	no	—
803	C₂²⋊C₄	—	11	1	no	—
804	C₂²⋊C₄	—	11	1	no	—
805	C₂²⋊C₄	—	11	1	no	—
806	C₂²⋊C₄	—	11	1	no	—
807	C₂²⋊C₄	—	11	1	no	—
808	C₂²⋊C₄	—	11	1	no	—
809	C₂²⋊C₄	—	11	1	no	—
810	C₂²⋊C₄	—	11	1	no	—
811	C₂²⋊C₄	—	11	1	no	—
812	C₂²⋊C₄	—	11	1	no	—
813	C₂²⋊C₄	—	11	1	no	—
814	C₂²⋊C₄	—	11	1	no	—
815	C₂²⋊C₄	—	11	1	no	—
816	C₂²⋊C₄	—	11	1	no	—
817	C₂²⋊C₄	—	11	1	no	—
818	C₂²⋊C₄	—	11	1	no	—
819	C₂²⋊C₄	—	11	1	no	—
820	C₂²⋊C₄	—	11	1	no	—
821	C₂²⋊C₄	—	11	1	no	—
822	C₂²⋊C₄	—	11	1	no	—
823	C₂²⋊C₄	—	11	1	no	—
824	C₂²⋊C₄	—	11	1	no	—
825	C₂²⋊C₄	—	11	1	no	—
826	C₂²⋊C₄	—	11	1	no	—
827	C₂²⋊C₄	—	11	1	no	—
828	C₂²⋊C₄	—	11	1	no	—
829	C₂²⋊C₄	—	11	1	no	—
830	C₂²⋊C₄	—	11	1	no	—
831	C₂²⋊C₄	—	11	1	no	—
832	C₂²⋊C₄	—	11	1	no	—
833	C₂²⋊C₄	—	11	1	no	—
834	C₂²⋊C₄	—	11	1	no	—
835	C₂²⋊C₄	—	11	1	no	—
836	C₂²⋊C₄	—	11	1	no	—
837	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
838	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
839	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
840	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
841	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
842	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
843	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
844	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
845	C₄²	—	11	1	no	—
846	C₄²	—	11	1	no	—
847	C₄²	—	11	1	no	—
848	C₄²	—	11	1	no	—
849	C₄²	—	11	1	no	—
850	C₄²	—	11	1	no	—
851	C₄²	—	11	1	no	—
852	C₄²	—	11	1	no	—
853	C₄²	—	11	1	no	—
854	C₄²	C₂²×D₁₁	1	1	yes	characteristic
855	C₁₁	#3533	1	1	yes	characteristic, complemented, Sylow
856	C₂³	—	11	1	no	—
857	C₂³	—	11	1	no	—
858	C₂³	—	11	1	no	—
859	C₂³	—	11	1	no	—
860	C₂³	—	11	1	no	—
861	C₂³	—	22	2	no	—
862	C₂³	—	22	2	no	—
863	C₂³	—	44	1	no	—
864	C₂³	—	44	1	no	—
865	C₂³	—	44	1	no	—
866	C₂³	—	44	1	no	—
867	C₂³	—	44	1	no	—
868	C₂³	—	44	1	no	—
869	C₂³	—	44	1	no	—
870	C₂³	C₂³×D₁₁	1	1	yes	characteristic
871	C₂³	C₂³×D₁₁	1	1	yes	characteristic
872	C₂³	C₂³×D₁₁	1	1	yes	characteristic
873	C₂³	C₂³×D₁₁	1	1	yes	characteristic
874	Q₈	—	4	1	no	—
875	Q₈	—	4	1	no	—
876	Q₈	—	44	1	no	—
877	Q₈	—	44	1	no	—
878	Q₈	—	44	1	no	—
879	D₄	—	2	2	no	—
880	D₄	—	2	2	no	—
881	D₄	—	2	2	no	—
882	D₄	—	4	1	no	—
883	D₄	—	4	1	no	—
884	D₄	—	4	1	no	—
885	D₄	—	22	2	no	—
886	D₄	—	44	1	no	—
887	D₄	—	44	1	no	—
888	D₄	—	44	1	no	—
889	D₄	—	44	1	no	—
890	D₄	—	44	1	no	—
891	D₄	—	44	1	no	—
892	D₄	—	44	1	no	—
893	D₄	—	44	1	no	—
894	D₄	—	44	1	no	—
895	D₄	—	44	1	no	—
896	D₄	—	44	1	no	—
897	D₄	—	44	1	no	—
898	D₄	—	44	1	no	—
899	D₄	—	44	1	no	—
900	D₄	—	44	1	no	—
901	D₄	—	44	1	no	—
902	D₄	—	44	1	no	—
903	D₄	—	44	1	no	—
904	D₄	—	44	1	no	—
905	D₄	—	44	1	no	—
906	C₂×C₄	—	2	2	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	4	1	no	—
909	C₂×C₄	—	4	1	no	—
910	C₂×C₄	—	4	1	no	—
911	C₂×C₄	—	4	1	no	—
912	C₂×C₄	—	4	1	no	—
913	C₂×C₄	—	4	1	no	—
914	C₂×C₄	—	11	1	no	—
915	C₂×C₄	—	11	1	no	—
916	C₂×C₄	—	11	1	no	—
917	C₂×C₄	—	11	1	no	—
918	C₂×C₄	—	11	1	no	—
919	C₂×C₄	—	11	1	no	—
920	C₂×C₄	—	11	1	no	—
921	C₂×C₄	—	11	1	no	—
922	C₂×C₄	—	11	1	no	—
923	C₂×C₄	—	11	1	no	—
924	C₂×C₄	—	11	1	no	—
925	C₂×C₄	—	22	2	no	—
926	C₂×C₄	—	44	1	no	—
927	C₂×C₄	—	44	1	no	—
928	C₂×C₄	—	44	1	no	—
929	C₂×C₄	—	44	1	no	—
930	C₂×C₄	—	44	1	no	—
931	C₂×C₄	—	44	1	no	—
932	C₂×C₄	—	44	1	no	—
933	C₂×C₄	—	44	1	no	—
934	C₂×C₄	—	44	1	no	—
935	C₂×C₄	—	44	1	no	—
936	C₂×C₄	—	44	1	no	—
937	C₂×C₄	—	44	1	no	—
938	C₂×C₄	—	44	1	no	—
939	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
940	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
941	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
942	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
943	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
944	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
945	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
946	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
947	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
948	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
949	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
950	C₂²	—	2	1	no	—
951	C₂²	—	2	1	no	—
952	C₂²	—	2	1	no	—
953	C₂²	—	2	1	no	—
954	C₂²	—	2	1	no	—
955	C₂²	—	2	1	no	—
956	C₂²	—	2	1	no	—
957	C₂²	—	2	1	no	—
958	C₂²	—	2	1	no	—
959	C₂²	—	2	1	no	—
960	C₂²	—	2	1	no	—
961	C₂²	—	22	1	no	—
962	C₂²	—	22	1	no	—
963	C₂²	—	22	1	no	—
964	C₂²	—	22	1	no	—
965	C₂²	—	22	1	no	—
966	C₂²	—	22	1	no	—
967	C₂²	—	22	1	no	—
968	C₂²	—	22	1	no	—
969	C₂²	—	22	1	no	—
970	C₂²	—	22	1	no	—
971	C₂²	—	22	1	no	—
972	C₂²	—	22	1	no	—
973	C₂²	—	22	1	no	—
974	C₂²	—	22	1	no	—
975	C₂²	—	22	1	no	—
976	C₂²	—	44	4	no	—
977	C₂²	—	88	2	no	—
978	C₂²	—	88	2	no	—
979	C₂²	#67037	1	2	yes	—
980	C₂²	C₂⁴×D₁₁	1	1	yes	characteristic
981	C₄	—	2	1	no	—
982	C₄	—	2	1	no	—
983	C₄	—	2	1	no	—
984	C₄	—	2	1	no	—
985	C₄	—	2	1	no	—
986	C₄	—	2	1	no	—
987	C₄	—	2	1	no	—
988	C₄	—	2	1	no	—
989	C₄	—	2	1	no	—
990	C₄	—	2	1	no	—
991	C₄	—	2	1	no	—
992	C₄	—	22	1	no	—
993	C₄	—	22	1	no	—
994	C₄	—	22	1	no	—
995	C₄	—	22	1	no	—
996	C₄	—	22	1	no	—
997	C₄	—	22	1	no	—
998	C₄	—	22	1	no	—
999	C₄	—	22	1	no	—
1000	C₄	—	22	1	no	—
1001	C₄	—	22	1	no	—
1002	C₄	—	22	1	no	—
1003	C₂	—	2	2	no	—
1004	C₂	—	4	1	no	—
1005	C₂	—	4	1	no	—
1006	C₂	—	4	1	no	—
1007	C₂	—	44	1	no	—
1008	C₂	—	44	1	no	—
1009	C₂	—	44	1	no	—
1010	C₂	—	44	1	no	—
1011	C₂	—	44	1	no	—
1012	C₂	C₂×#67037	1	1	yes	characteristic
1013	C₂	#10623453	1	1	yes	characteristic
1014	C₂	#10623457	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₁
commutator, socle, cosocle	C₂²×C₁₁	C₂⁵
Fitting	C₁₁×#547	C₂
hypercenter	#547	D₁₁
hypocenter	C₁₁	#3533
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ #547

Complements

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

N	H ≅ G/N	type
1. C₁₁×#547	C₂	semidirect
2. #10623361	C₂	semidirect
3. #10623360	C₂	semidirect
4. #10623359	C₂	semidirect
5. #10623355	C₂	semidirect
6. #10623266	C₂	semidirect
7. #10623264	C₂	semidirect
8. #10623198	C₂	semidirect
9. #10623195	C₂	semidirect
10. #10623194	C₂	semidirect
11. #10623189	C₂	semidirect
12. #10623188	C₂	semidirect
13. #10623187	C₂	semidirect
14. #10623184	C₂	semidirect
15. #10623181	C₂	semidirect
16. #10623178	C₂	semidirect
17. #10623176	C₂	semidirect
18. #10623171	C₂	semidirect
19. #10623168	C₂	semidirect
20. #10623151	C₂	semidirect
21. #10623148	C₂	semidirect
22. #10623146	C₂	semidirect
23. #10623141	C₂	semidirect
24. #10623091	C₂	semidirect
25. #10623091	C₂	semidirect
26. #10623087	C₂	semidirect
27. #10623071	C₂	semidirect
28. #10623046	C₂	semidirect
29. #10623045	C₂	semidirect
30. #10623044	C₂	semidirect
31. C₂×#66947	C₂	semidirect
33. C₂×C₁₁×#41	C₂²	semidirect
37. C₂²×C₄×D₁₁	C₂²	semidirect
38. C₁₁×C₄⋊Q₈	C₂²	semidirect
40. C₁₁×#123	C₂²	semidirect
41. C₁₁×#123	C₂²	semidirect
42. C₁₁×#123	C₂²	semidirect
43. C₁₁×C₂²⋊Q₈	C₂²	semidirect
44. C₁₁×C₂²⋊Q₈	C₂²	semidirect
46. C₁₁×#121	C₂²	semidirect
47. C₄×D₄×C₁₁	C₂²	semidirect
48. C₄×D₄×C₁₁	C₂²	semidirect
49. C₂×C₁₁×C₄⋊C₄	C₂²	semidirect
50. C₂×C₁₁×C₄⋊C₄	C₂²	semidirect
52. #67000	C₂²	semidirect
53. #67000	C₂²	semidirect
54. #66999	C₂²	semidirect
55. #66999	C₂²	semidirect
56. #66999	C₂²	semidirect
57. #66999	C₂²	semidirect
58. #66997	C₂²	semidirect
60. #66993	C₂²	semidirect
62. #66992	C₂²	semidirect
63. #66992	C₂²	semidirect
64. #66992	C₂²	semidirect
65. #66992	C₂²	semidirect
66. #66992	C₂²	semidirect
67. #66991	C₂²	semidirect
68. #66991	C₂²	semidirect
72. #66990	C₂²	semidirect
73. #66990	C₂²	semidirect
74. #66990	C₂²	semidirect
75. #66990	C₂²	semidirect
77. #66988	C₂²	semidirect
78. #66988	C₂²	semidirect
80. D₄×Dic₁₁	C₂²	semidirect
83. #66983	C₂²	semidirect
84. #66983	C₂²	semidirect
85. #66983	C₂²	semidirect
86. #66983	C₂²	semidirect
89. #66982	C₂²	semidirect
90. #66982	C₂²	semidirect
91. #66982	C₂²	semidirect
92. #66982	C₂²	semidirect
94. C₄×C₂²⋊D₁₁	C₂²	semidirect
95. C₄×C₂²⋊D₁₁	C₂²	semidirect
96. C₄×C₂²⋊D₁₁	C₂²	semidirect
97. C₄×C₂²⋊D₁₁	C₂²	semidirect
98. C₄×C₂²⋊D₁₁	C₂²	semidirect
99. C₄×C₂²⋊D₁₁	C₂²	semidirect
100. C₄×C₂²⋊D₁₁	C₂²	semidirect
103. C₂×(C₂×D₁₁)⋊C₄	C₂²	semidirect
104. C₂×(C₂×D₁₁)⋊C₄	C₂²	semidirect
105. #66979	C₂²	semidirect
106. #66979	C₂²	semidirect
107. #66977	C₂²	semidirect
108. #66977	C₂²	semidirect
109. C₂×Dic₁₁⋊C₄	C₂²	semidirect
110. C₂×Dic₁₁⋊C₄	C₂²	semidirect
111. #66951	C₂²	semidirect
112. #66951	C₂²	semidirect
113. #66951	C₂²	semidirect
114. #66951	C₂²	semidirect
115. #66951	C₂²	semidirect
116. #66951	C₂²	semidirect
117. #66951	C₂²	semidirect
118. #66951	C₂²	semidirect
119. #66950	C₂²	semidirect
120. #66950	C₂²	semidirect
121. #66949	C₂²	semidirect
122. #66949	C₂²	semidirect
123. #66949	C₂²	semidirect
124. #66949	C₂²	semidirect
133. #66947	C₂²	semidirect
134. #66947	C₂²	semidirect
135. #66947	C₂²	semidirect
136. #66947	C₂²	semidirect
137. #66947	C₂²	semidirect
138. #66947	C₂²	semidirect
139. #66946	C₂²	semidirect
140. #66946	C₂²	semidirect
141. #66945	C₂²	semidirect
142. #66945	C₂²	semidirect
143. #66943	C₂²	semidirect
144. #66943	C₂²	semidirect
145. #66942	C₂²	semidirect
146. #66942	C₂²	semidirect
147. #66942	C₂²	semidirect
148. #66942	C₂²	semidirect
149. #66940	C₂²	semidirect
150. #66940	C₂²	semidirect
151. #66939	C₂²	semidirect
152. #66939	C₂²	semidirect
153. #66939	C₂²	semidirect
154. #66938	C₂²	semidirect
155. #66938	C₂²	semidirect
156. #66938	C₂²	semidirect
157. #66938	C₂²	semidirect
158. #66938	C₂²	semidirect
159. #66938	C₂²	semidirect
162. #66937	C₂²	semidirect
163. #66937	C₂²	semidirect
164. #66937	C₂²	semidirect
165. #66937	C₂²	semidirect
166. #66936	C₂²	semidirect
167. #66936	C₂²	semidirect
171. (C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
172. (C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
173. (C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
174. (C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
176. C₂²⋊C₄×D₁₁	C₂²	semidirect
177. #66932	C₂²	semidirect
178. #66932	C₂²	semidirect
179. #66931	C₂²	semidirect
180. #66931	C₂²	semidirect
181. #66930	C₂²	semidirect
182. #66930	C₂²	semidirect
183. #66929	C₂²	semidirect
184. #66929	C₂²	semidirect
185. #66928	C₂²	semidirect
186. #66925	C₂²	semidirect
456. #547	D₁₁	semidirect
529. C₂×#41	C₂×D₁₁	semidirect
534. C₄⋊Q₈	C₂×D₁₁	semidirect
592. #123	C₂×D₁₁	semidirect
593. #123	C₂×D₁₁	semidirect
594. #123	C₂×D₁₁	semidirect
609. C₂²⋊Q₈	C₂×D₁₁	semidirect
610. C₂²⋊Q₈	C₂×D₁₁	semidirect
634. #121	C₂×D₁₁	semidirect
663. C₄×D₄	C₂×D₁₁	semidirect
664. C₄×D₄	C₂×D₁₁	semidirect
674. C₂×C₄⋊C₄	C₂×D₁₁	semidirect
675. C₂×C₄⋊C₄	C₂×D₁₁	semidirect
855. C₁₁	#3533	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#547	2
#10623361	2
#10623360	2
#10623359	2
#10623355	2
#10623266	2
#10623264	2
#10623198	2
#10623195	2
#10623194	2
#10623189	2
#10623188	2
#10623187	2
#10623184	2
#10623181	2
#10623178	2
#10623176	2
#10623171	2
#10623168	2
#10623151	2
#10623148	2
#10623146	2
#10623141	2
#10623091	2
#10623087	2
#10623071	2
#10623046	2
#10623045	2
#10623044	2
C₂×#66947	2
#3533	11