Subgroups — #13082923

Order 1408.

1160 conjugacy classes of subgroups.

The subgroup lattice has 1080 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#540	C₂	1	1	yes	maximal, characteristic, complemented
2	#10623246	C₂	1	1	yes	maximal, characteristic, complemented
3	#10623246	C₂	1	1	yes	maximal, characteristic, complemented
4	#10623231	C₂	1	1	yes	maximal, characteristic, complemented
5	#10623224	C₂	1	1	yes	maximal, characteristic, complemented
6	#10623197	C₂	1	1	yes	maximal, characteristic, complemented
7	#10623194	C₂	1	1	yes	maximal, characteristic, complemented
8	#10623193	C₂	1	1	yes	maximal, characteristic, complemented
9	#10623190	C₂	1	1	yes	maximal, characteristic, complemented
10	#10623187	C₂	1	1	yes	maximal, characteristic, complemented
11	#10623186	C₂	1	1	yes	maximal, characteristic, complemented
12	#10623185	C₂	1	1	yes	maximal, characteristic, complemented
13	#10623184	C₂	1	1	yes	maximal, characteristic, complemented
14	#10623152	C₂	1	1	yes	maximal, characteristic, complemented
15	#10623151	C₂	1	1	yes	maximal, characteristic, complemented
16	#10623146	C₂	1	1	yes	maximal, characteristic, complemented
17	#10623144	C₂	1	1	yes	maximal, characteristic, complemented
18	#10623141	C₂	1	1	yes	maximal, characteristic, complemented
19	#10623141	C₂	1	1	yes	maximal, characteristic, complemented
20	#10623140	C₂	1	1	yes	maximal, characteristic, complemented
21	#10623138	C₂	1	1	yes	maximal, characteristic, complemented
22	#10623136	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₁×#121	C₂	1	1	yes	maximal, characteristic, complemented
24	#10623130	C₂	1	1	yes	maximal, characteristic, complemented
25	#10623128	C₂	1	1	yes	maximal, characteristic, complemented
26	#10623091	C₂	1	1	yes	maximal, characteristic, complemented
27	#10623081	C₂	1	1	yes	maximal, characteristic, complemented
28	#10623078	C₂	1	1	yes	maximal, characteristic, complemented
29	#10623071	C₂	1	1	yes	maximal, characteristic, complemented
30	#10623063	C₂	1	1	yes	maximal, characteristic, complemented
31	#10623058	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4341	C₂²	1	1	yes	characteristic, complemented
33	C₂×#4341	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4341	C₂²	1	1	yes	characteristic, complemented
35	C₂×D₄×D₁₁	C₂²	1	1	yes	characteristic
36	C₂×D₄×D₁₁	C₂²	1	1	yes	characteristic
37	C₂×D₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4339	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4339	C₂²	1	1	yes	characteristic, complemented
42	C₂²×D₄₄	C₂²	1	1	yes	characteristic
43	C₂²×C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
44	C₁₁×#127	C₂²	1	1	yes	characteristic, complemented
45	C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
46	C₁₁×#123	C₂²	1	1	yes	characteristic, complemented
47	C₁₁×#123	C₂²	1	1	yes	characteristic, complemented
48	C₁₁×#123	C₂²	1	1	yes	characteristic, complemented
49	C₁₁×#123	C₂²	1	1	yes	characteristic, complemented
50	C₁₁×#121	C₂²	1	1	yes	characteristic, complemented
51	C₁₁×#121	C₂²	1	1	yes	characteristic, complemented
52	C₁₁×#121	C₂²	1	1	yes	characteristic, complemented
53	C₁₁×#121	C₂²	1	1	yes	characteristic, complemented
54	C₁₁×#121	C₂²	1	1	yes	characteristic, complemented
55	C₁₁×#121	C₂²	1	1	yes	characteristic, complemented
56	C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
57	C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
59	#66993	C₂²	1	1	yes	characteristic, complemented
60	#66993	C₂²	1	1	yes	characteristic, complemented
61	#66993	C₂²	1	1	yes	characteristic, complemented
62	#66993	C₂²	1	1	yes	characteristic, complemented
63	#66992	C₂²	1	1	yes	characteristic
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	#66992	C₂²	1	1	yes	characteristic, complemented
68	#66992	C₂²	1	1	yes	characteristic, complemented
69	#66992	C₂²	1	1	yes	characteristic, complemented
70	#66992	C₂²	1	1	yes	characteristic, complemented
71	#66992	C₂²	1	1	yes	characteristic, complemented
72	#66992	C₂²	1	1	yes	characteristic, complemented
73	#66992	C₂²	1	1	yes	characteristic, complemented
74	#66992	C₂²	1	1	yes	characteristic, complemented
75	#66991	C₂²	1	1	yes	characteristic, complemented
76	#66991	C₂²	1	1	yes	characteristic, complemented
77	#66990	C₂²	1	1	yes	characteristic
78	#66990	C₂²	1	1	yes	characteristic, complemented
79	#66990	C₂²	1	1	yes	characteristic, complemented
80	#66990	C₂²	1	1	yes	characteristic, complemented
81	#66990	C₂²	1	1	yes	characteristic, complemented
82	#66990	C₂²	1	1	yes	characteristic, complemented
83	#66990	C₂²	1	1	yes	characteristic, complemented
84	#66990	C₂²	1	1	yes	characteristic, complemented
85	#66990	C₂²	1	1	yes	characteristic, complemented
86	#66990	C₂²	1	1	yes	characteristic, complemented
87	#66989	C₂²	1	1	yes	characteristic, complemented
88	#66989	C₂²	1	1	yes	characteristic, complemented
89	#66988	C₂²	1	1	yes	characteristic, complemented
90	#66988	C₂²	1	1	yes	characteristic, complemented
91	#66983	C₂²	1	1	yes	characteristic, complemented
92	#66983	C₂²	1	1	yes	characteristic, complemented
93	#66983	C₂²	1	1	yes	characteristic, complemented
94	#66983	C₂²	1	1	yes	characteristic, complemented
95	#66982	C₂²	1	1	yes	characteristic, complemented
96	#66982	C₂²	1	1	yes	characteristic, complemented
97	#66982	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	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
102	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
103	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
104	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
105	#66977	C₂²	1	1	yes	characteristic, complemented
106	C₂×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic, complemented
107	#66951	C₂²	1	1	yes	characteristic, complemented
108	#66951	C₂²	1	1	yes	characteristic, complemented
109	#66951	C₂²	1	1	yes	characteristic, complemented
110	#66949	C₂²	1	1	yes	characteristic, complemented
111	#66949	C₂²	1	1	yes	characteristic, complemented
112	#66949	C₂²	1	1	yes	characteristic, complemented
113	#66949	C₂²	1	1	yes	characteristic, complemented
114	#66949	C₂²	1	1	yes	characteristic, complemented
115	#66949	C₂²	1	1	yes	characteristic, complemented
116	#66949	C₂²	1	1	yes	characteristic, complemented
117	#66948	C₂²	1	1	yes	characteristic, complemented
118	#66948	C₂²	1	1	yes	characteristic, complemented
119	#66948	C₂²	1	1	yes	characteristic, complemented
120	#66948	C₂²	1	1	yes	characteristic, complemented
121	#66948	C₂²	1	1	yes	characteristic, complemented
122	#66947	C₂²	1	1	yes	characteristic
123	#66947	C₂²	1	1	yes	characteristic
124	#66947	C₂²	1	1	yes	characteristic, complemented
125	#66947	C₂²	1	1	yes	characteristic, complemented
126	#66947	C₂²	1	1	yes	characteristic, complemented
127	#66947	C₂²	1	1	yes	characteristic, complemented
128	#66947	C₂²	1	1	yes	characteristic, complemented
129	#66947	C₂²	1	1	yes	characteristic, complemented
130	#66946	C₂²	1	1	yes	characteristic
131	#66946	C₂²	1	1	yes	characteristic, complemented
132	#66945	C₂²	1	1	yes	characteristic, complemented
133	#66945	C₂²	1	1	yes	characteristic, complemented
134	C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
135	#66942	C₂²	1	1	yes	characteristic, complemented
136	#66942	C₂²	1	1	yes	characteristic, complemented
137	#66941	C₂²	1	1	yes	characteristic, complemented
138	#66940	C₂²	1	1	yes	characteristic, complemented
139	#66939	C₂²	1	1	yes	characteristic, complemented
140	#66938	C₂²	1	1	yes	characteristic, complemented
141	#66938	C₂²	1	1	yes	characteristic, complemented
142	#66938	C₂²	1	1	yes	characteristic, complemented
143	#66938	C₂²	1	1	yes	characteristic, complemented
144	#66937	C₂²	1	1	yes	characteristic
145	#66937	C₂²	1	1	yes	characteristic
146	#66937	C₂²	1	1	yes	characteristic
147	#66937	C₂²	1	1	yes	characteristic, complemented
148	#66937	C₂²	1	1	yes	characteristic, complemented
149	#66937	C₂²	1	1	yes	characteristic, complemented
150	#66937	C₂²	1	1	yes	characteristic, complemented
151	#66937	C₂²	1	1	yes	characteristic, complemented
152	#66937	C₂²	1	1	yes	characteristic, complemented
153	#66937	C₂²	1	1	yes	characteristic, complemented
154	#66936	C₂²	1	1	yes	characteristic, complemented
155	#66936	C₂²	1	1	yes	characteristic, complemented
156	#66936	C₂²	1	1	yes	characteristic, complemented
157	#66936	C₂²	1	1	yes	characteristic, complemented
158	#66935	C₂²	1	1	yes	characteristic
159	#66935	C₂²	1	1	yes	characteristic
160	#66935	C₂²	1	1	yes	characteristic, complemented
161	#66935	C₂²	1	1	yes	characteristic, complemented
162	#66935	C₂²	1	1	yes	characteristic, complemented
163	#66935	C₂²	1	1	yes	characteristic, complemented
164	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
165	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	(C₂²⋊D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
172	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
173	#66932	C₂²	1	1	yes	characteristic, complemented
174	#66932	C₂²	1	1	yes	characteristic, complemented
175	#66931	C₂²	1	1	yes	characteristic, complemented
176	#66931	C₂²	1	1	yes	characteristic, complemented
177	#66931	C₂²	1	1	yes	characteristic, complemented
178	#66930	C₂²	1	1	yes	characteristic, complemented
179	#66929	C₂²	1	1	yes	characteristic, complemented
180	#66928	C₂²	1	1	yes	characteristic, complemented
181	#66928	C₂²	1	1	yes	characteristic, complemented
182	#66928	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₄₄	C₂²	1	1	yes	characteristic, complemented
184	#66925	C₂²	1	1	yes	characteristic, complemented
185	#66925	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	C₂³×D₁₁	C₂³	1	1	yes	characteristic
191	C₂³×D₁₁	C₂³	1	1	yes	characteristic
192	C₂×D₄×C₁₁	C₂³	1	1	yes	characteristic
193	C₂×D₄×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	C₂×D₄×C₁₁	C₂³	1	1	yes	characteristic
201	C₂×D₄×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	C₂×C₂²⋊D₁₁	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	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
227	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
228	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
229	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
230	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
232	#4341	—	4	2	no	—
233	#4341	—	4	2	no	—
234	#4341	—	4	2	no	—
235	D₄×D₁₁	—	4	2	no	—
236	D₄×D₁₁	—	4	2	no	—
237	D₄×D₁₁	—	4	2	no	—
238	D₄×D₁₁	—	4	2	no	—
239	D₄×D₁₁	—	4	2	no	—
240	#4339	—	4	2	no	—
241	#4339	—	4	2	no	—
242	C₂×D₄₄	—	4	2	no	—
243	C₂×D₄₄	C₂³	1	1	yes	characteristic
244	C₂×D₄₄	C₂³	1	1	yes	characteristic
245	C₂×D₄₄	C₂³	1	1	yes	characteristic
246	C₂×D₄₄	C₂³	1	1	yes	characteristic
247	C₂×D₄₄	C₂³	1	1	yes	characteristic
248	C₂×D₄₄	C₂³	1	1	yes	characteristic
249	C₂×D₄₄	C₂³	1	1	yes	characteristic
250	C₂×D₄₄	C₂³	1	1	yes	characteristic
251	C₂×D₄₄	C₂³	1	1	yes	characteristic
252	C₂×D₄₄	C₂³	1	1	yes	characteristic
253	C₂×C₄×D₁₁	—	4	2	no	—
254	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
255	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
256	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
257	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
258	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
259	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
260	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
261	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
262	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
263	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
264	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
265	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
266	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
267	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
268	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
269	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
270	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₄²×C₁₁	C₂³	1	1	yes	characteristic
289	C₄²×C₁₁	C₂³	1	1	yes	characteristic
290	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
291	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
292	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
293	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
294	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
295	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
296	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
297	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
298	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
299	C₂²⋊Dic₁₁	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	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×D₁₁)⋊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	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	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
340	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
341	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
342	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
343	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
344	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
345	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
346	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
347	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
348	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
349	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
350	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
351	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
352	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
353	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
354	#3542	—	11	1	no	maximal, Sylow
355	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
356	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
357	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
358	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
359	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
360	C₂²×D₁₁	—	2	2	no	—
361	C₂²×D₁₁	—	2	2	no	—
362	C₂²×D₁₁	—	2	2	no	—
363	C₂²×D₁₁	—	4	1	no	—
364	C₂²×D₁₁	—	4	1	no	—
365	C₂²×D₁₁	—	4	1	no	—
366	C₂²×D₁₁	—	4	1	no	—
367	C₂²×D₁₁	—	4	1	no	—
368	C₂²×D₁₁	—	4	1	no	—
369	C₂²×D₁₁	—	4	1	no	—
370	C₂²×D₁₁	—	4	1	no	—
371	C₂²×D₁₁	—	4	1	no	—
372	C₂²×D₁₁	—	4	1	no	—
373	C₂²×D₁₁	—	4	1	no	—
374	C₂²×D₁₁	—	4	1	no	—
375	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
376	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
377	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
378	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
379	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
380	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
381	D₄×C₁₁	—	4	1	no	—
382	D₄×C₁₁	—	4	1	no	—
383	D₄×C₁₁	—	4	1	no	—
384	D₄×C₁₁	—	4	1	no	—
385	D₄×C₁₁	—	4	1	no	—
386	D₄×C₁₁	—	4	1	no	—
387	D₄×C₁₁	—	4	1	no	—
388	D₄×C₁₁	—	4	1	no	—
389	D₄×C₁₁	—	4	1	no	—
390	D₄×C₁₁	—	4	1	no	—
391	C₂×C₄×C₁₁	—	4	1	no	—
392	C₂×C₄×C₁₁	—	4	1	no	—
393	C₂×C₄×C₁₁	—	4	1	no	—
394	C₂×C₄×C₁₁	—	4	1	no	—
395	C₂×C₄×C₁₁	—	4	1	no	—
396	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
397	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
398	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
399	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
400	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
402	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
403	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
404	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
405	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
406	C₂²⋊D₁₁	—	2	2	no	—
407	C₂²⋊D₁₁	—	2	2	no	—
408	C₂²⋊D₁₁	—	2	2	no	—
409	C₂²⋊D₁₁	—	2	2	no	—
410	C₂²⋊D₁₁	—	2	2	no	—
411	C₂²⋊D₁₁	—	4	1	no	—
412	C₂²⋊D₁₁	—	4	1	no	—
413	C₂²⋊D₁₁	—	4	1	no	—
414	C₂²⋊D₁₁	—	4	1	no	—
415	C₂²⋊D₁₁	—	4	1	no	—
416	C₂²⋊D₁₁	—	4	1	no	—
417	C₂²⋊D₁₁	—	4	1	no	—
418	C₂²⋊D₁₁	—	4	1	no	—
419	C₂²⋊D₁₁	—	4	1	no	—
420	C₂²⋊D₁₁	—	4	1	no	—
421	C₂²⋊D₁₁	—	4	1	no	—
422	C₂²⋊D₁₁	—	4	1	no	—
423	C₂²⋊D₁₁	—	4	1	no	—
424	C₂²⋊D₁₁	—	4	1	no	—
425	C₂²⋊D₁₁	—	4	1	no	—
426	C₂×Dic₁₁	—	2	2	no	—
427	C₂×Dic₁₁	—	2	2	no	—
428	C₂×Dic₁₁	—	4	1	no	—
429	C₂×Dic₁₁	—	4	1	no	—
430	C₂×Dic₁₁	—	4	1	no	—
431	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
432	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
433	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
434	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
435	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
436	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
437	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
438	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
439	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
440	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
441	D₄₄	—	2	2	no	—
442	D₄₄	—	2	2	no	—
443	D₄₄	—	4	1	no	—
444	D₄₄	—	4	1	no	—
445	D₄₄	—	4	1	no	—
446	D₄₄	—	4	1	no	—
447	D₄₄	—	4	1	no	—
448	D₄₄	—	4	1	no	—
449	D₄₄	—	4	1	no	—
450	D₄₄	—	4	1	no	—
451	C₄×D₁₁	—	2	2	no	—
452	C₄×D₁₁	—	2	2	no	—
453	C₄×D₁₁	—	2	2	no	—
454	C₄×D₁₁	—	2	2	no	—
455	C₄×D₁₁	—	2	2	no	—
456	C₄×D₁₁	—	4	1	no	—
457	C₄×D₁₁	—	4	1	no	—
458	C₄×D₁₁	—	4	1	no	—
459	C₄×D₁₁	—	4	1	no	—
460	C₄×D₁₁	—	4	1	no	—
461	C₄×D₁₁	—	4	1	no	—
462	C₄×D₁₁	—	4	1	no	—
463	Dic₂₂	—	2	2	no	—
464	Dic₂₂	—	4	1	no	—
465	Dic₂₂	—	4	1	no	—
466	Dic₂₂	—	4	1	no	—
467	#562	—	11	1	no	—
468	#562	—	11	1	no	—
469	#560	—	11	1	no	—
470	#560	—	11	1	no	—
471	#555	—	11	1	no	—
472	#553	—	11	1	no	—
473	#552	—	11	1	no	—
474	#551	—	11	1	no	—
475	#551	—	11	1	no	—
476	#550	—	11	1	no	—
477	#547	—	11	1	no	—
478	#546	—	11	1	no	—
479	#546	—	11	1	no	—
480	#546	—	11	1	no	—
481	#546	—	11	1	no	—
482	D₄²	—	11	1	no	—
483	#542	—	11	1	no	—
484	#540	—	11	1	no	—
485	#540	—	11	1	no	—
486	#540	D₁₁	1	1	yes	characteristic, complemented
487	#538	—	11	1	no	—
488	#538	—	11	1	no	—
489	#537	—	11	1	no	—
490	#535	—	11	1	no	—
491	#535	—	11	1	no	—
492	#535	—	11	1	no	—
493	#534	—	11	1	no	—
494	#534	—	11	1	no	—
495	#525	—	11	1	no	—
496	#525	—	11	1	no	—
497	C₂×#121	—	11	1	no	—
498	C₂²×C₁₁	—	2	1	no	—
499	C₂²×C₁₁	—	2	1	no	—
500	C₂²×C₁₁	—	2	1	no	—
501	C₂²×C₁₁	—	2	1	no	—
502	C₂²×C₁₁	—	2	1	no	—
503	C₂²×C₁₁	—	2	1	no	—
504	C₂²×C₁₁	—	2	1	no	—
505	C₂²×C₁₁	—	2	1	no	—
506	C₂²×C₁₁	—	2	1	no	—
507	C₂²×C₁₁	—	2	1	no	—
508	C₂²×C₁₁	—	2	1	no	—
509	C₂²×C₁₁	—	2	1	no	—
510	C₂²×C₁₁	—	2	1	no	—
511	C₂²×C₁₁	—	2	1	no	—
512	C₂²×C₁₁	—	2	1	no	—
513	C₂²×C₁₁	C₂⁵	1	1	yes	characteristic
514	C₂×D₁₁	—	2	1	no	—
515	C₂×D₁₁	—	2	1	no	—
516	C₂×D₁₁	—	2	1	no	—
517	C₂×D₁₁	—	2	1	no	—
518	C₂×D₁₁	—	2	1	no	—
519	C₂×D₁₁	—	2	1	no	—
520	C₂×D₁₁	—	2	1	no	—
521	C₂×D₁₁	—	2	1	no	—
522	C₂×D₁₁	—	2	1	no	—
523	C₂×D₁₁	—	2	1	no	—
524	C₂×D₁₁	—	2	1	no	—
525	C₂×D₁₁	—	2	1	no	—
526	C₂×D₁₁	—	2	1	no	—
527	C₂×D₁₁	—	2	1	no	—
528	C₂×D₁₁	—	2	1	no	—
529	C₂×D₁₁	—	2	1	no	—
530	C₂×D₁₁	—	2	1	no	—
531	C₂×D₁₁	—	4	4	no	—
532	C₂×D₁₁	—	8	2	no	—
533	C₂×D₁₁	—	8	2	no	—
534	C₂×D₁₁	—	8	2	no	—
535	C₂×D₁₁	—	8	2	no	—
536	C₂×D₁₁	H(5,𝔽₂)	1	2	yes	—
537	C₄×C₁₁	—	2	1	no	—
538	C₄×C₁₁	—	2	1	no	—
539	C₄×C₁₁	—	2	1	no	—
540	C₄×C₁₁	—	2	1	no	—
541	C₄×C₁₁	—	2	1	no	—
542	C₄×C₁₁	—	2	1	no	—
543	C₄×C₁₁	—	2	1	no	—
544	C₄×C₁₁	—	2	1	no	—
545	C₄×C₁₁	—	2	1	no	—
546	C₄×C₁₁	—	2	1	no	—
547	Dic₁₁	—	2	1	no	—
548	Dic₁₁	—	2	1	no	—
549	Dic₁₁	—	2	1	no	—
550	Dic₁₁	—	2	1	no	—
551	Dic₁₁	—	2	1	no	—
552	Dic₁₁	—	2	1	no	—
553	Dic₁₁	—	2	1	no	—
554	Dic₁₁	—	2	1	no	—
555	Dic₁₁	—	2	1	no	—
556	Dic₁₁	H(5,𝔽₂)	1	2	yes	—
557	C₂×#41	—	11	1	no	—
558	C₂×#41	—	11	1	no	—
559	C₂×#41	—	11	1	no	—
560	C₂×#41	—	11	1	no	—
561	C₂×#41	—	11	1	no	—
562	C₂²×D₄	—	11	1	no	—
563	C₂²×D₄	—	11	1	no	—
564	C₂²×D₄	—	11	1	no	—
565	C₂²×D₄	—	11	1	no	—
566	C₂²×D₄	—	11	1	no	—
567	C₂²×D₄	—	11	1	no	—
568	C₂³×C₄	—	11	1	no	—
569	C₄⋊Q₈	—	11	1	no	—
570	#127	—	11	1	no	—
571	#127	—	11	1	no	—
572	#127	—	11	1	no	—
573	#127	—	11	1	no	—
574	#127	C₂×D₁₁	1	1	yes	characteristic, complemented
575	#126	—	11	1	no	—
576	#126	—	11	1	no	—
577	#126	—	11	1	no	—
578	#126	—	11	1	no	—
579	#126	—	11	1	no	—
580	#126	—	11	1	no	—
581	#125	—	11	1	no	—
582	#125	—	11	1	no	—
583	#125	C₂×D₁₁	1	1	yes	characteristic, complemented
584	#124	—	11	1	no	—
585	#124	—	11	1	no	—
586	#124	—	11	1	no	—
587	#124	—	11	1	no	—
588	#124	—	11	1	no	—
589	#124	—	11	1	no	—
590	#124	—	11	1	no	—
591	#124	—	11	1	no	—
592	#124	—	11	1	no	—
593	#123	—	11	1	no	—
594	#123	—	11	1	no	—
595	#123	—	11	1	no	—
596	#123	—	11	1	no	—
597	#123	—	11	1	no	—
598	#123	—	11	1	no	—
599	#123	—	11	1	no	—
600	#123	—	11	1	no	—
601	#123	—	11	1	no	—
602	#123	—	11	1	no	—
603	#123	—	11	1	no	—
604	#123	—	11	1	no	—
605	#123	—	11	1	no	—
606	#123	—	11	1	no	—
607	#123	—	11	1	no	—
608	#123	—	11	1	no	—
609	#123	—	11	1	no	—
610	#123	—	11	1	no	—
611	#123	C₂×D₁₁	1	1	yes	characteristic, complemented
612	#123	C₂×D₁₁	1	1	yes	characteristic, complemented
613	#123	C₂×D₁₁	1	1	yes	characteristic, complemented
614	#123	C₂×D₁₁	1	1	yes	characteristic, complemented
615	C₂²⋊Q₈	—	11	1	no	—
616	C₂²⋊Q₈	—	11	1	no	—
617	C₂²⋊Q₈	—	11	1	no	—
618	C₂²⋊Q₈	—	11	1	no	—
619	C₂²⋊Q₈	—	11	1	no	—
620	C₂²⋊Q₈	—	11	1	no	—
621	C₂²⋊Q₈	—	11	1	no	—
622	C₂²⋊Q₈	—	11	1	no	—
623	C₂²⋊Q₈	—	11	1	no	—
624	C₂²⋊Q₈	—	11	1	no	—
625	C₂²⋊Q₈	—	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	—	11	1	no	—
634	#121	—	11	1	no	—
635	#121	—	11	1	no	—
636	#121	—	11	1	no	—
637	#121	—	11	1	no	—
638	#121	—	11	1	no	—
639	#121	—	11	1	no	—
640	#121	—	11	1	no	—
641	#121	—	11	1	no	—
642	#121	—	11	1	no	—
643	#121	—	11	1	no	—
644	#121	—	11	1	no	—
645	#121	—	11	1	no	—
646	#121	—	11	1	no	—
647	#121	—	11	1	no	—
648	#121	—	11	1	no	—
649	#121	—	11	1	no	—
650	#121	—	11	1	no	—
651	#121	—	11	1	no	—
652	#121	—	11	1	no	—
653	#121	—	11	1	no	—
654	#121	—	11	1	no	—
655	#121	—	11	1	no	—
656	#121	—	11	1	no	—
657	#121	—	11	1	no	—
658	#121	—	11	1	no	—
659	#121	C₂×D₁₁	1	1	yes	characteristic, complemented
660	#121	C₂×D₁₁	1	1	yes	characteristic, complemented
661	#121	C₂×D₁₁	1	1	yes	characteristic, complemented
662	#121	C₂×D₁₁	1	1	yes	characteristic, complemented
663	#121	C₂×D₁₁	1	1	yes	characteristic, complemented
664	#121	C₂×D₁₁	1	1	yes	characteristic, complemented
665	#120	—	11	1	no	—
666	#120	—	11	1	no	—
667	#120	—	11	1	no	—
668	#120	—	11	1	no	—
669	#120	—	11	1	no	—
670	#120	—	11	1	no	—
671	#120	—	11	1	no	—
672	#120	—	11	1	no	—
673	#120	—	11	1	no	—
674	#120	—	11	1	no	—
675	#120	—	11	1	no	—
676	#120	—	11	1	no	—
677	#120	—	11	1	no	—
678	#120	—	11	1	no	—
679	#120	—	11	1	no	—
680	#120	—	11	1	no	—
681	C₄×Q₈	—	11	1	no	—
682	C₄×D₄	—	11	1	no	—
683	C₄×D₄	—	11	1	no	—
684	C₄×D₄	—	11	1	no	—
685	C₄×D₄	—	11	1	no	—
686	C₄×D₄	—	11	1	no	—
687	C₄×D₄	—	11	1	no	—
688	C₄×D₄	—	11	1	no	—
689	C₄×D₄	—	11	1	no	—
690	C₄×D₄	—	11	1	no	—
691	C₄×D₄	—	11	1	no	—
692	C₄×D₄	—	11	1	no	—
693	C₄×D₄	—	11	1	no	—
694	C₄×D₄	—	11	1	no	—
695	C₄×D₄	C₂×D₁₁	1	1	yes	characteristic, complemented
696	C₄×D₄	C₂×D₁₁	1	1	yes	characteristic, complemented
697	#117	—	11	1	no	—
698	#117	—	11	1	no	—
699	#117	—	11	1	no	—
700	#117	—	11	1	no	—
701	#117	—	11	1	no	—
702	#117	—	11	1	no	—
703	#117	C₂×D₁₁	1	1	yes	characteristic, complemented
704	C₂×C₄⋊C₄	—	11	1	no	—
705	C₂×C₄⋊C₄	—	11	1	no	—
706	C₂×C₂²⋊C₄	—	11	1	no	—
707	C₂×C₂²⋊C₄	—	11	1	no	—
708	C₂×C₂²⋊C₄	—	11	1	no	—
709	C₂×C₂²⋊C₄	—	11	1	no	—
710	C₂×C₂²⋊C₄	—	11	1	no	—
711	C₂×C₂²⋊C₄	—	11	1	no	—
712	C₂×C₁₁	—	4	1	no	—
713	C₂×C₁₁	—	4	1	no	—
714	C₂×C₁₁	—	4	1	no	—
715	C₂×C₁₁	—	4	1	no	—
716	C₂×C₁₁	—	4	1	no	—
717	C₂×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
718	C₂×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
719	C₂×C₁₁	#585	1	1	yes	characteristic
720	D₁₁	—	2	2	no	—
721	D₁₁	—	4	1	no	—
722	D₁₁	—	4	1	no	—
723	D₁₁	—	4	1	no	—
724	D₁₁	—	4	1	no	—
725	D₁₁	—	4	1	no	—
726	C₂⁴	—	11	1	no	—
727	C₂⁴	—	11	1	no	—
728	C₂⁴	—	11	1	no	—
729	C₂⁴	—	11	1	no	—
730	C₂⁴	—	11	1	no	—
731	#41	—	44	2	no	—
732	#41	—	44	2	no	—
733	#41	—	44	2	no	—
734	#41	—	44	2	no	—
735	#41	—	44	2	no	—
736	C₂×Q₈	—	11	1	no	—
737	C₂×Q₈	—	11	1	no	—
738	C₂×Q₈	—	11	1	no	—
739	C₂×Q₈	—	11	1	no	—
740	C₂×D₄	—	11	1	no	—
741	C₂×D₄	—	11	1	no	—
742	C₂×D₄	—	11	1	no	—
743	C₂×D₄	—	11	1	no	—
744	C₂×D₄	—	11	1	no	—
745	C₂×D₄	—	11	1	no	—
746	C₂×D₄	—	11	1	no	—
747	C₂×D₄	—	11	1	no	—
748	C₂×D₄	—	11	1	no	—
749	C₂×D₄	—	11	1	no	—
750	C₂×D₄	—	11	1	no	—
751	C₂×D₄	—	11	1	no	—
752	C₂×D₄	—	11	1	no	—
753	C₂×D₄	—	11	1	no	—
754	C₂×D₄	—	11	1	no	—
755	C₂×D₄	—	11	1	no	—
756	C₂×D₄	—	11	1	no	—
757	C₂×D₄	—	11	1	no	—
758	C₂×D₄	—	11	1	no	—
759	C₂×D₄	—	11	1	no	—
760	C₂×D₄	—	11	1	no	—
761	C₂×D₄	—	11	1	no	—
762	C₂×D₄	—	11	1	no	—
763	C₂×D₄	—	11	1	no	—
764	C₂×D₄	—	11	1	no	—
765	C₂×D₄	—	11	1	no	—
766	C₂×D₄	—	11	1	no	—
767	C₂×D₄	—	11	1	no	—
768	C₂×D₄	—	11	1	no	—
769	C₂×D₄	—	11	1	no	—
770	C₂×D₄	—	44	2	no	—
771	C₂×D₄	—	44	2	no	—
772	C₂×D₄	—	44	2	no	—
773	C₂×D₄	—	44	2	no	—
774	C₂×D₄	—	44	2	no	—
775	C₂×D₄	—	44	2	no	—
776	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
777	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
778	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
779	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
780	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
781	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
782	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
783	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
784	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
785	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
786	C₂²×C₄	—	11	1	no	—
787	C₂²×C₄	—	11	1	no	—
788	C₂²×C₄	—	11	1	no	—
789	C₂²×C₄	—	11	1	no	—
790	C₂²×C₄	—	11	1	no	—
791	C₂²×C₄	—	11	1	no	—
792	C₂²×C₄	—	11	1	no	—
793	C₂²×C₄	—	11	1	no	—
794	C₂²×C₄	—	11	1	no	—
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	—	44	2	no	—
804	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
805	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
806	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
807	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
808	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
809	C₄⋊C₄	—	11	1	no	—
810	C₄⋊C₄	—	11	1	no	—
811	C₄⋊C₄	—	11	1	no	—
812	C₄⋊C₄	—	11	1	no	—
813	C₄⋊C₄	—	11	1	no	—
814	C₄⋊C₄	—	11	1	no	—
815	C₄⋊C₄	—	11	1	no	—
816	C₄⋊C₄	—	11	1	no	—
817	C₄⋊C₄	—	11	1	no	—
818	C₄⋊C₄	—	11	1	no	—
819	C₄⋊C₄	—	11	1	no	—
820	C₄⋊C₄	—	11	1	no	—
821	C₄⋊C₄	—	11	1	no	—
822	C₄⋊C₄	—	11	1	no	—
823	C₄⋊C₄	—	11	1	no	—
824	C₄⋊C₄	—	11	1	no	—
825	C₄⋊C₄	—	11	1	no	—
826	C₄⋊C₄	—	11	1	no	—
827	C₄⋊C₄	—	11	1	no	—
828	C₄⋊C₄	—	11	1	no	—
829	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
830	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
831	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
832	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
833	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
834	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
835	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
836	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
837	C₂²⋊C₄	—	11	1	no	—
838	C₂²⋊C₄	—	11	1	no	—
839	C₂²⋊C₄	—	11	1	no	—
840	C₂²⋊C₄	—	11	1	no	—
841	C₂²⋊C₄	—	11	1	no	—
842	C₂²⋊C₄	—	11	1	no	—
843	C₂²⋊C₄	—	11	1	no	—
844	C₂²⋊C₄	—	11	1	no	—
845	C₂²⋊C₄	—	11	1	no	—
846	C₂²⋊C₄	—	11	1	no	—
847	C₂²⋊C₄	—	11	1	no	—
848	C₂²⋊C₄	—	11	1	no	—
849	C₂²⋊C₄	—	11	1	no	—
850	C₂²⋊C₄	—	11	1	no	—
851	C₂²⋊C₄	—	11	1	no	—
852	C₂²⋊C₄	—	11	1	no	—
853	C₂²⋊C₄	—	11	1	no	—
854	C₂²⋊C₄	—	11	1	no	—
855	C₂²⋊C₄	—	11	1	no	—
856	C₂²⋊C₄	—	11	1	no	—
857	C₂²⋊C₄	—	11	1	no	—
858	C₂²⋊C₄	—	11	1	no	—
859	C₂²⋊C₄	—	11	1	no	—
860	C₂²⋊C₄	—	11	1	no	—
861	C₂²⋊C₄	—	11	1	no	—
862	C₂²⋊C₄	—	11	1	no	—
863	C₂²⋊C₄	—	11	1	no	—
864	C₂²⋊C₄	—	11	1	no	—
865	C₂²⋊C₄	—	11	1	no	—
866	C₂²⋊C₄	—	11	1	no	—
867	C₂²⋊C₄	—	11	1	no	—
868	C₂²⋊C₄	—	11	1	no	—
869	C₂²⋊C₄	—	11	1	no	—
870	C₂²⋊C₄	—	11	1	no	—
871	C₂²⋊C₄	—	11	1	no	—
872	C₂²⋊C₄	—	11	1	no	—
873	C₂²⋊C₄	—	11	1	no	—
874	C₂²⋊C₄	—	11	1	no	—
875	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
876	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
877	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
878	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
879	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
880	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
881	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
882	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
883	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
884	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
885	C₄²	—	11	1	no	—
886	C₄²	—	11	1	no	—
887	C₄²	—	11	1	no	—
888	C₄²	—	11	1	no	—
889	C₄²	—	11	1	no	—
890	C₄²	—	11	1	no	—
891	C₄²	C₂²×D₁₁	1	1	yes	characteristic
892	C₄²	C₂²×D₁₁	1	1	yes	characteristic
893	C₁₁	#3542	1	1	yes	characteristic, complemented, Sylow
894	C₂³	—	11	1	no	—
895	C₂³	—	11	1	no	—
896	C₂³	—	11	1	no	—
897	C₂³	—	11	1	no	—
898	C₂³	—	11	1	no	—
899	C₂³	—	11	1	no	—
900	C₂³	—	22	2	no	—
901	C₂³	—	22	2	no	—
902	C₂³	—	22	2	no	—
903	C₂³	—	44	1	no	—
904	C₂³	—	44	1	no	—
905	C₂³	—	44	1	no	—
906	C₂³	—	44	1	no	—
907	C₂³	—	44	1	no	—
908	C₂³	—	44	1	no	—
909	C₂³	—	44	1	no	—
910	C₂³	—	44	1	no	—
911	C₂³	—	44	1	no	—
912	C₂³	—	44	1	no	—
913	C₂³	—	44	1	no	—
914	C₂³	—	44	1	no	—
915	C₂³	C₂³×D₁₁	1	1	yes	characteristic
916	C₂³	C₂³×D₁₁	1	1	yes	characteristic
917	C₂³	C₂³×D₁₁	1	1	yes	characteristic
918	C₂³	C₂³×D₁₁	1	1	yes	characteristic
919	C₂³	C₂³×D₁₁	1	1	yes	characteristic
920	Q₈	—	22	2	no	—
921	Q₈	—	44	1	no	—
922	Q₈	—	44	1	no	—
923	Q₈	—	44	1	no	—
924	D₄	—	4	1	no	—
925	D₄	—	4	1	no	—
926	D₄	—	4	1	no	—
927	D₄	—	4	1	no	—
928	D₄	—	4	1	no	—
929	D₄	—	4	1	no	—
930	D₄	—	4	1	no	—
931	D₄	—	4	1	no	—
932	D₄	—	4	1	no	—
933	D₄	—	4	1	no	—
934	D₄	—	22	2	no	—
935	D₄	—	22	2	no	—
936	D₄	—	22	2	no	—
937	D₄	—	22	2	no	—
938	D₄	—	22	2	no	—
939	D₄	—	22	2	no	—
940	D₄	—	22	2	no	—
941	D₄	—	44	1	no	—
942	D₄	—	44	1	no	—
943	D₄	—	44	1	no	—
944	D₄	—	44	1	no	—
945	D₄	—	44	1	no	—
946	D₄	—	44	1	no	—
947	D₄	—	44	1	no	—
948	D₄	—	44	1	no	—
949	D₄	—	44	1	no	—
950	D₄	—	44	1	no	—
951	D₄	—	44	1	no	—
952	D₄	—	44	1	no	—
953	D₄	—	44	1	no	—
954	D₄	—	44	1	no	—
955	D₄	—	44	1	no	—
956	D₄	—	44	1	no	—
957	D₄	—	44	1	no	—
958	D₄	—	44	1	no	—
959	D₄	—	44	1	no	—
960	D₄	—	44	1	no	—
961	D₄	—	44	1	no	—
962	D₄	—	44	1	no	—
963	D₄	—	44	1	no	—
964	C₂×C₄	—	4	1	no	—
965	C₂×C₄	—	4	1	no	—
966	C₂×C₄	—	4	1	no	—
967	C₂×C₄	—	4	1	no	—
968	C₂×C₄	—	4	1	no	—
969	C₂×C₄	—	11	1	no	—
970	C₂×C₄	—	11	1	no	—
971	C₂×C₄	—	11	1	no	—
972	C₂×C₄	—	11	1	no	—
973	C₂×C₄	—	11	1	no	—
974	C₂×C₄	—	11	1	no	—
975	C₂×C₄	—	11	1	no	—
976	C₂×C₄	—	11	1	no	—
977	C₂×C₄	—	11	1	no	—
978	C₂×C₄	—	11	1	no	—
979	C₂×C₄	—	22	2	no	—
980	C₂×C₄	—	22	2	no	—
981	C₂×C₄	—	22	2	no	—
982	C₂×C₄	—	22	2	no	—
983	C₂×C₄	—	22	2	no	—
984	C₂×C₄	—	22	2	no	—
985	C₂×C₄	—	22	2	no	—
986	C₂×C₄	—	44	1	no	—
987	C₂×C₄	—	44	1	no	—
988	C₂×C₄	—	44	1	no	—
989	C₂×C₄	—	44	1	no	—
990	C₂×C₄	—	44	1	no	—
991	C₂×C₄	—	44	1	no	—
992	C₂×C₄	—	44	1	no	—
993	C₂×C₄	—	44	1	no	—
994	C₂×C₄	—	44	1	no	—
995	C₂×C₄	—	44	1	no	—
996	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
997	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
998	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
999	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
1000	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
1001	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
1002	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
1003	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
1004	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
1005	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
1006	C₂²	—	2	1	no	—
1007	C₂²	—	2	1	no	—
1008	C₂²	—	2	1	no	—
1009	C₂²	—	2	1	no	—
1010	C₂²	—	2	1	no	—
1011	C₂²	—	2	1	no	—
1012	C₂²	—	2	1	no	—
1013	C₂²	—	2	1	no	—
1014	C₂²	—	2	1	no	—
1015	C₂²	—	2	1	no	—
1016	C₂²	—	2	1	no	—
1017	C₂²	—	2	1	no	—
1018	C₂²	—	2	1	no	—
1019	C₂²	—	2	1	no	—
1020	C₂²	—	2	1	no	—
1021	C₂²	—	11	2	no	—
1022	C₂²	—	22	1	no	—
1023	C₂²	—	22	1	no	—
1024	C₂²	—	22	1	no	—
1025	C₂²	—	22	1	no	—
1026	C₂²	—	22	1	no	—
1027	C₂²	—	22	1	no	—
1028	C₂²	—	22	1	no	—
1029	C₂²	—	22	1	no	—
1030	C₂²	—	22	1	no	—
1031	C₂²	—	22	1	no	—
1032	C₂²	—	22	1	no	—
1033	C₂²	—	22	1	no	—
1034	C₂²	—	22	1	no	—
1035	C₂²	—	22	1	no	—
1036	C₂²	—	22	1	no	—
1037	C₂²	—	22	1	no	—
1038	C₂²	—	22	1	no	—
1039	C₂²	—	44	4	no	—
1040	C₂²	—	88	2	no	—
1041	C₂²	—	88	2	no	—
1042	C₂²	—	88	2	no	—
1043	C₂²	—	88	2	no	—
1044	C₂²	C₂⁴×D₁₁	1	1	yes	characteristic
1045	C₄	—	2	1	no	—
1046	C₄	—	2	1	no	—
1047	C₄	—	2	1	no	—
1048	C₄	—	2	1	no	—
1049	C₄	—	2	1	no	—
1050	C₄	—	2	1	no	—
1051	C₄	—	2	1	no	—
1052	C₄	—	2	1	no	—
1053	C₄	—	2	1	no	—
1054	C₄	—	2	1	no	—
1055	C₄	—	11	2	no	—
1056	C₄	—	22	1	no	—
1057	C₄	—	22	1	no	—
1058	C₄	—	22	1	no	—
1059	C₄	—	22	1	no	—
1060	C₄	—	22	1	no	—
1061	C₄	—	22	1	no	—
1062	C₄	—	22	1	no	—
1063	C₄	—	22	1	no	—
1064	C₄	—	22	1	no	—
1065	C₂	—	4	1	no	—
1066	C₂	—	4	1	no	—
1067	C₂	—	4	1	no	—
1068	C₂	—	4	1	no	—
1069	C₂	—	4	1	no	—
1070	C₂	—	22	2	no	—
1071	C₂	—	44	1	no	—
1072	C₂	—	44	1	no	—
1073	C₂	—	44	1	no	—
1074	C₂	—	44	1	no	—
1075	C₂	—	44	1	no	—
1076	C₂	#10623453	1	1	yes	characteristic
1077	C₂	D₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1078	C₂	D₁₁×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₁
commutator, socle, cosocle	C₂²×C₁₁	C₂⁵
Fitting	C₁₁×#540	C₂
hypercenter	#540	D₁₁
hypocenter	C₁₁	#3542
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ #540

Complements

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

N	H ≅ G/N	type
1. C₁₁×#540	C₂	semidirect
2. #10623246	C₂	semidirect
3. #10623246	C₂	semidirect
4. #10623231	C₂	semidirect
5. #10623224	C₂	semidirect
6. #10623197	C₂	semidirect
7. #10623194	C₂	semidirect
8. #10623193	C₂	semidirect
9. #10623190	C₂	semidirect
10. #10623187	C₂	semidirect
11. #10623186	C₂	semidirect
12. #10623185	C₂	semidirect
13. #10623184	C₂	semidirect
14. #10623152	C₂	semidirect
15. #10623151	C₂	semidirect
16. #10623146	C₂	semidirect
17. #10623144	C₂	semidirect
18. #10623141	C₂	semidirect
19. #10623141	C₂	semidirect
20. #10623140	C₂	semidirect
21. #10623138	C₂	semidirect
22. #10623136	C₂	semidirect
23. D₁₁×#121	C₂	semidirect
24. #10623130	C₂	semidirect
25. #10623128	C₂	semidirect
26. #10623091	C₂	semidirect
27. #10623081	C₂	semidirect
28. #10623078	C₂	semidirect
29. #10623071	C₂	semidirect
30. #10623063	C₂	semidirect
31. #10623058	C₂	semidirect
32. C₂×#4341	C₂²	semidirect
33. C₂×#4341	C₂²	semidirect
34. C₂×#4341	C₂²	semidirect
37. C₂×D₄×D₁₁	C₂²	semidirect
38. C₂×D₄×D₁₁	C₂²	semidirect
39. C₂×D₄×D₁₁	C₂²	semidirect
40. C₂×#4339	C₂²	semidirect
41. C₂×#4339	C₂²	semidirect
43. C₂²×C₄×D₁₁	C₂²	semidirect
44. C₁₁×#127	C₂²	semidirect
45. C₁₁×#125	C₂²	semidirect
46. C₁₁×#123	C₂²	semidirect
47. C₁₁×#123	C₂²	semidirect
48. C₁₁×#123	C₂²	semidirect
49. C₁₁×#123	C₂²	semidirect
50. C₁₁×#121	C₂²	semidirect
51. C₁₁×#121	C₂²	semidirect
52. C₁₁×#121	C₂²	semidirect
53. C₁₁×#121	C₂²	semidirect
54. C₁₁×#121	C₂²	semidirect
55. C₁₁×#121	C₂²	semidirect
56. C₄×D₄×C₁₁	C₂²	semidirect
57. C₄×D₄×C₁₁	C₂²	semidirect
58. C₁₁×#117	C₂²	semidirect
59. #66993	C₂²	semidirect
60. #66993	C₂²	semidirect
61. #66993	C₂²	semidirect
62. #66993	C₂²	semidirect
64. #66992	C₂²	semidirect
65. #66992	C₂²	semidirect
66. #66992	C₂²	semidirect
67. #66992	C₂²	semidirect
68. #66992	C₂²	semidirect
69. #66992	C₂²	semidirect
70. #66992	C₂²	semidirect
71. #66992	C₂²	semidirect
72. #66992	C₂²	semidirect
73. #66992	C₂²	semidirect
74. #66992	C₂²	semidirect
75. #66991	C₂²	semidirect
76. #66991	C₂²	semidirect
78. #66990	C₂²	semidirect
79. #66990	C₂²	semidirect
80. #66990	C₂²	semidirect
81. #66990	C₂²	semidirect
82. #66990	C₂²	semidirect
83. #66990	C₂²	semidirect
84. #66990	C₂²	semidirect
85. #66990	C₂²	semidirect
86. #66990	C₂²	semidirect
87. #66989	C₂²	semidirect
88. #66989	C₂²	semidirect
89. #66988	C₂²	semidirect
90. #66988	C₂²	semidirect
91. #66983	C₂²	semidirect
92. #66983	C₂²	semidirect
93. #66983	C₂²	semidirect
94. #66983	C₂²	semidirect
95. #66982	C₂²	semidirect
96. #66982	C₂²	semidirect
97. #66982	C₂²	semidirect
98. C₄×C₂²⋊D₁₁	C₂²	semidirect
99. C₄×C₂²⋊D₁₁	C₂²	semidirect
100. C₄×C₂²⋊D₁₁	C₂²	semidirect
101. C₄×C₂²⋊D₁₁	C₂²	semidirect
102. C₄×C₂²⋊D₁₁	C₂²	semidirect
103. C₂×(C₂×D₁₁)⋊C₄	C₂²	semidirect
104. C₂×(C₂×D₁₁)⋊C₄	C₂²	semidirect
105. #66977	C₂²	semidirect
106. C₂×Dic₁₁⋊C₄	C₂²	semidirect
107. #66951	C₂²	semidirect
108. #66951	C₂²	semidirect
109. #66951	C₂²	semidirect
110. #66949	C₂²	semidirect
111. #66949	C₂²	semidirect
112. #66949	C₂²	semidirect
113. #66949	C₂²	semidirect
114. #66949	C₂²	semidirect
115. #66949	C₂²	semidirect
116. #66949	C₂²	semidirect
117. #66948	C₂²	semidirect
118. #66948	C₂²	semidirect
119. #66948	C₂²	semidirect
120. #66948	C₂²	semidirect
121. #66948	C₂²	semidirect
124. #66947	C₂²	semidirect
125. #66947	C₂²	semidirect
126. #66947	C₂²	semidirect
127. #66947	C₂²	semidirect
128. #66947	C₂²	semidirect
129. #66947	C₂²	semidirect
131. #66946	C₂²	semidirect
132. #66945	C₂²	semidirect
133. #66945	C₂²	semidirect
134. C₄⋊C₄×D₁₁	C₂²	semidirect
135. #66942	C₂²	semidirect
136. #66942	C₂²	semidirect
137. #66941	C₂²	semidirect
138. #66940	C₂²	semidirect
139. #66939	C₂²	semidirect
140. #66938	C₂²	semidirect
141. #66938	C₂²	semidirect
142. #66938	C₂²	semidirect
143. #66938	C₂²	semidirect
147. #66937	C₂²	semidirect
148. #66937	C₂²	semidirect
149. #66937	C₂²	semidirect
150. #66937	C₂²	semidirect
151. #66937	C₂²	semidirect
152. #66937	C₂²	semidirect
153. #66937	C₂²	semidirect
154. #66936	C₂²	semidirect
155. #66936	C₂²	semidirect
156. #66936	C₂²	semidirect
157. #66936	C₂²	semidirect
160. #66935	C₂²	semidirect
161. #66935	C₂²	semidirect
162. #66935	C₂²	semidirect
163. #66935	C₂²	semidirect
164. (C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
165. (C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
166. (C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
167. (C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
168. (C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
169. C₂²⋊C₄×D₁₁	C₂²	semidirect
170. C₂²⋊C₄×D₁₁	C₂²	semidirect
171. C₂²⋊C₄×D₁₁	C₂²	semidirect
172. C₂²⋊C₄×D₁₁	C₂²	semidirect
173. #66932	C₂²	semidirect
174. #66932	C₂²	semidirect
175. #66931	C₂²	semidirect
176. #66931	C₂²	semidirect
177. #66931	C₂²	semidirect
178. #66930	C₂²	semidirect
179. #66929	C₂²	semidirect
180. #66928	C₂²	semidirect
181. #66928	C₂²	semidirect
182. #66928	C₂²	semidirect
183. C₄×D₄₄	C₂²	semidirect
184. #66925	C₂²	semidirect
185. #66925	C₂²	semidirect
186. #66925	C₂²	semidirect
486. #540	D₁₁	semidirect
574. #127	C₂×D₁₁	semidirect
583. #125	C₂×D₁₁	semidirect
611. #123	C₂×D₁₁	semidirect
612. #123	C₂×D₁₁	semidirect
613. #123	C₂×D₁₁	semidirect
614. #123	C₂×D₁₁	semidirect
659. #121	C₂×D₁₁	semidirect
660. #121	C₂×D₁₁	semidirect
661. #121	C₂×D₁₁	semidirect
662. #121	C₂×D₁₁	semidirect
663. #121	C₂×D₁₁	semidirect
664. #121	C₂×D₁₁	semidirect
695. C₄×D₄	C₂×D₁₁	semidirect
696. C₄×D₄	C₂×D₁₁	semidirect
703. #117	C₂×D₁₁	semidirect
893. C₁₁	#3542	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#540	2
#10623246	2
#10623231	2
#10623224	2
#10623197	2
#10623194	2
#10623193	2
#10623190	2
#10623187	2
#10623186	2
#10623185	2
#10623184	2
#10623152	2
#10623151	2
#10623146	2
#10623144	2
#10623141	2
#10623140	2
#10623138	2
#10623136	2
D₁₁×#121	2
#10623130	2
#10623128	2
#10623091	2
#10623081	2
#10623078	2
#10623071	2
#10623063	2
#10623058	2
#3542	11