Subgroups — #13082820

Order 1408.

1038 conjugacy classes of subgroups.

The subgroup lattice has 982 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#554	C₂	1	1	yes	maximal, characteristic, complemented
2	#10623266	C₂	1	1	yes	maximal, characteristic, complemented
3	#10623255	C₂	1	1	yes	maximal, characteristic, complemented
4	#10623230	C₂	1	1	yes	maximal, characteristic, complemented
5	#10623224	C₂	1	1	yes	maximal, characteristic, complemented
6	#10623223	C₂	1	1	yes	maximal, characteristic, complemented
7	#10623223	C₂	1	1	yes	maximal, characteristic, complemented
8	#10623178	C₂	1	1	yes	maximal, characteristic, complemented
9	#10623178	C₂	1	1	yes	maximal, characteristic, complemented
10	#10623171	C₂	1	1	yes	maximal, characteristic, complemented
11	#10623169	C₂	1	1	yes	maximal, characteristic, complemented
12	#10623168	C₂	1	1	yes	maximal, characteristic, complemented
13	#10623168	C₂	1	1	yes	maximal, characteristic, complemented
14	#10623165	C₂	1	1	yes	maximal, characteristic, complemented
15	#10623162	C₂	1	1	yes	maximal, characteristic, complemented
16	#10623161	C₂	1	1	yes	maximal, characteristic, complemented
17	#10623159	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
19	#10623154	C₂	1	1	yes	maximal, characteristic, complemented
20	#10623113	C₂	1	1	yes	maximal, characteristic, complemented
21	#10623112	C₂	1	1	yes	maximal, characteristic, complemented
22	#10623095	C₂	1	1	yes	maximal, characteristic, complemented
23	#10623091	C₂	1	1	yes	maximal, characteristic, complemented
24	#10623087	C₂	1	1	yes	maximal, characteristic, complemented
25	#10623087	C₂	1	1	yes	maximal, characteristic, complemented
26	#10623081	C₂	1	1	yes	maximal, characteristic, complemented
27	#10623078	C₂	1	1	yes	maximal, characteristic, complemented
28	#10623046	C₂	1	1	yes	maximal, characteristic, complemented
29	#10623042	C₂	1	1	yes	maximal, characteristic, complemented
30	#10623038	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#66947	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4343	C₂²	1	1	yes	characteristic
33	C₂×Q₈×D₁₁	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4339	C₂²	1	1	yes	characteristic
35	C₂×#4339	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₄₄	C₂²	1	1	yes	characteristic
37	C₂²×C₄×D₁₁	C₂²	1	1	yes	characteristic
38	C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
40	C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
41	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
47	C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
48	C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
49	C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
50	C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
51	C₂×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
52	C₂×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
53	#67000	C₂²	1	1	yes	characteristic
54	#67000	C₂²	1	1	yes	characteristic, complemented
55	#67000	C₂²	1	1	yes	characteristic, complemented
56	#66999	C₂²	1	1	yes	characteristic, complemented
57	#66999	C₂²	1	1	yes	characteristic, complemented
58	#66999	C₂²	1	1	yes	characteristic, complemented
59	#66999	C₂²	1	1	yes	characteristic, complemented
60	#66999	C₂²	1	1	yes	characteristic, complemented
61	#66997	C₂²	1	1	yes	characteristic, complemented
62	#66997	C₂²	1	1	yes	characteristic, complemented
63	#66992	C₂²	1	1	yes	characteristic
64	#66990	C₂²	1	1	yes	characteristic
65	#66990	C₂²	1	1	yes	characteristic
66	#66988	C₂²	1	1	yes	characteristic
67	#66983	C₂²	1	1	yes	characteristic
68	#66983	C₂²	1	1	yes	characteristic, complemented
69	#66982	C₂²	1	1	yes	characteristic, complemented
70	#66982	C₂²	1	1	yes	characteristic, complemented
71	#66982	C₂²	1	1	yes	characteristic, complemented
72	#66982	C₂²	1	1	yes	characteristic, complemented
73	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
74	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
75	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
76	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
77	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
78	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
79	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
80	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
81	C₂×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
82	#66977	C₂²	1	1	yes	characteristic
83	#66977	C₂²	1	1	yes	characteristic
84	#66977	C₂²	1	1	yes	characteristic
85	#66977	C₂²	1	1	yes	characteristic, complemented
86	C₂×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
87	#66951	C₂²	1	1	yes	characteristic, complemented
88	#66951	C₂²	1	1	yes	characteristic, complemented
89	#66951	C₂²	1	1	yes	characteristic, complemented
90	#66951	C₂²	1	1	yes	characteristic, complemented
91	#66951	C₂²	1	1	yes	characteristic, complemented
92	#66951	C₂²	1	1	yes	characteristic, complemented
93	#66951	C₂²	1	1	yes	characteristic, complemented
94	#66950	C₂²	1	1	yes	characteristic, complemented
95	#66950	C₂²	1	1	yes	characteristic, complemented
96	#66950	C₂²	1	1	yes	characteristic, complemented
97	#66950	C₂²	1	1	yes	characteristic, complemented
98	#66949	C₂²	1	1	yes	characteristic, complemented
99	#66949	C₂²	1	1	yes	characteristic, complemented
100	#66949	C₂²	1	1	yes	characteristic, complemented
101	#66949	C₂²	1	1	yes	characteristic, complemented
102	#66949	C₂²	1	1	yes	characteristic, complemented
103	#66949	C₂²	1	1	yes	characteristic, complemented
104	#66949	C₂²	1	1	yes	characteristic, complemented
105	#66949	C₂²	1	1	yes	characteristic, complemented
106	#66949	C₂²	1	1	yes	characteristic, complemented
107	#66949	C₂²	1	1	yes	characteristic, complemented
108	#66949	C₂²	1	1	yes	characteristic, complemented
109	#66949	C₂²	1	1	yes	characteristic, complemented
110	#66948	C₂²	1	1	yes	characteristic
111	#66948	C₂²	1	1	yes	characteristic
112	#66948	C₂²	1	1	yes	characteristic
113	#66947	C₂²	1	1	yes	characteristic
114	#66947	C₂²	1	1	yes	characteristic
115	#66947	C₂²	1	1	yes	characteristic
116	#66947	C₂²	1	1	yes	characteristic
117	#66947	C₂²	1	1	yes	characteristic
118	#66947	C₂²	1	1	yes	characteristic
119	#66947	C₂²	1	1	yes	characteristic
120	#66947	C₂²	1	1	yes	characteristic
121	#66947	C₂²	1	1	yes	characteristic
122	#66947	C₂²	1	1	yes	characteristic
123	#66947	C₂²	1	1	yes	characteristic
124	#66947	C₂²	1	1	yes	characteristic
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	#66947	C₂²	1	1	yes	characteristic, complemented
131	#66946	C₂²	1	1	yes	characteristic
132	#66946	C₂²	1	1	yes	characteristic, complemented
133	#66946	C₂²	1	1	yes	characteristic, complemented
134	#66945	C₂²	1	1	yes	characteristic, complemented
135	#66945	C₂²	1	1	yes	characteristic, complemented
136	C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
137	C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
138	C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
139	C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
140	#66942	C₂²	1	1	yes	characteristic, complemented
141	#66942	C₂²	1	1	yes	characteristic, complemented
142	#66942	C₂²	1	1	yes	characteristic, complemented
143	#66942	C₂²	1	1	yes	characteristic, complemented
144	#66942	C₂²	1	1	yes	characteristic, complemented
145	#66942	C₂²	1	1	yes	characteristic, complemented
146	#66942	C₂²	1	1	yes	characteristic, complemented
147	#66941	C₂²	1	1	yes	characteristic, complemented
148	#66941	C₂²	1	1	yes	characteristic, complemented
149	#66941	C₂²	1	1	yes	characteristic, complemented
150	#66940	C₂²	1	1	yes	characteristic, complemented
151	#66939	C₂²	1	1	yes	characteristic
152	#66938	C₂²	1	1	yes	characteristic, complemented
153	#66938	C₂²	1	1	yes	characteristic, complemented
154	#66938	C₂²	1	1	yes	characteristic, complemented
155	#66937	C₂²	1	1	yes	characteristic
156	#66937	C₂²	1	1	yes	characteristic
157	#66937	C₂²	1	1	yes	characteristic, complemented
158	#66937	C₂²	1	1	yes	characteristic, complemented
159	#66936	C₂²	1	1	yes	characteristic, complemented
160	#66936	C₂²	1	1	yes	characteristic, complemented
161	#66936	C₂²	1	1	yes	characteristic, complemented
162	#66936	C₂²	1	1	yes	characteristic, complemented
163	#66935	C₂²	1	1	yes	characteristic
164	#66935	C₂²	1	1	yes	characteristic
165	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
166	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
167	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
169	#66932	C₂²	1	1	yes	characteristic, complemented
170	#66931	C₂²	1	1	yes	characteristic
171	#66931	C₂²	1	1	yes	characteristic
172	#66931	C₂²	1	1	yes	characteristic
173	#66930	C₂²	1	1	yes	characteristic
174	#66930	C₂²	1	1	yes	characteristic
175	#66929	C₂²	1	1	yes	characteristic, complemented
176	#66929	C₂²	1	1	yes	characteristic, complemented
177	#66929	C₂²	1	1	yes	characteristic, complemented
178	#66929	C₂²	1	1	yes	characteristic, complemented
179	#66928	C₂²	1	1	yes	characteristic
180	#66928	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₄₄	C₂²	1	1	yes	characteristic
182	C₄×D₄₄	C₂²	1	1	yes	characteristic, complemented
183	#66925	C₂²	1	1	yes	characteristic, complemented
184	#66925	C₂²	1	1	yes	characteristic, complemented
185	#66925	C₂²	1	1	yes	characteristic, complemented
186	#66923	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₁	C₂³	1	1	yes	characteristic
188	C₂³×D₁₁	C₂³	1	1	yes	characteristic
189	C₂×Q₈×C₁₁	C₂³	1	1	yes	characteristic
190	C₂×Q₈×C₁₁	C₂³	1	1	yes	characteristic
191	C₂×Q₈×C₁₁	C₂³	1	1	yes	characteristic
192	C₂×D₄×C₁₁	C₂³	1	1	yes	characteristic
193	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
194	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
195	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
196	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
197	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
198	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
205	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
206	C₂²×Dic₁₁	C₂³	1	1	yes	characteristic
207	#4343	—	4	2	no	—
208	Q₈×D₁₁	—	4	2	no	—
209	#4339	—	4	2	no	—
210	#4339	—	4	2	no	—
211	C₂×D₄₄	—	4	2	no	—
212	C₂×D₄₄	C₂³	1	1	yes	characteristic
213	C₂×D₄₄	C₂³	1	1	yes	characteristic
214	C₂×D₄₄	C₂³	1	1	yes	characteristic
215	C₂×D₄₄	C₂³	1	1	yes	characteristic
216	C₂×D₄₄	C₂³	1	1	yes	characteristic
217	C₂×D₄₄	C₂³	1	1	yes	characteristic
218	C₂×D₄₄	C₂³	1	1	yes	characteristic
219	C₂×D₄₄	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₁₁	—	4	2	no	—
221	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
230	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
232	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
236	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
237	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
238	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
239	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
240	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
241	C₂×Dic₂₂	C₂³	1	1	yes	characteristic
242	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₁₁×C₄⋊C₄	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₁₁×C₂²⋊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	C₄²×C₁₁	C₂³	1	1	yes	characteristic
265	C₄²×C₁₁	C₂³	1	1	yes	characteristic
266	C₄²×C₁₁	C₂³	1	1	yes	characteristic
267	C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
268	C₂²⋊Dic₁₁	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	(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	(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	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
308	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
309	C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
310	C₄⋊Dic₁₁	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	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	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	Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
340	Dic₁₁⋊C₄	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	#3535	—	11	1	no	maximal, Sylow
349	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
350	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
351	C₂²×D₁₁	—	2	2	no	—
352	C₂²×D₁₁	—	2	2	no	—
353	C₂²×D₁₁	—	2	2	no	—
354	C₂²×D₁₁	—	4	1	no	—
355	C₂²×D₁₁	—	4	1	no	—
356	C₂²×D₁₁	—	4	1	no	—
357	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
358	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
359	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
360	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
361	C₂²×D₁₁	C₂⁴	1	1	yes	characteristic
362	Q₈×C₁₁	—	4	1	no	—
363	Q₈×C₁₁	—	4	1	no	—
364	Q₈×C₁₁	—	4	1	no	—
365	D₄×C₁₁	—	2	2	no	—
366	C₂×C₄×C₁₁	—	4	1	no	—
367	C₂×C₄×C₁₁	—	4	1	no	—
368	C₂×C₄×C₁₁	—	4	1	no	—
369	C₂×C₄×C₁₁	—	4	1	no	—
370	C₂×C₄×C₁₁	—	4	1	no	—
371	C₂×C₄×C₁₁	—	4	1	no	—
372	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
373	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
374	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
375	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
376	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
377	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
378	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
379	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
380	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
381	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
382	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
383	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
384	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
385	C₂²⋊D₁₁	—	2	2	no	—
386	C₂²⋊D₁₁	—	2	2	no	—
387	C₂²⋊D₁₁	—	4	1	no	—
388	C₂²⋊D₁₁	—	4	1	no	—
389	C₂²⋊D₁₁	—	4	1	no	—
390	C₂²⋊D₁₁	—	4	1	no	—
391	C₂×Dic₁₁	—	2	2	no	—
392	C₂×Dic₁₁	—	4	1	no	—
393	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
394	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
395	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
396	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
397	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
398	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
399	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
400	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
401	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
402	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
403	C₂×Dic₁₁	C₂⁴	1	1	yes	characteristic
404	D₄₄	—	2	2	no	—
405	D₄₄	—	2	2	no	—
406	D₄₄	—	2	2	no	—
407	D₄₄	—	4	1	no	—
408	D₄₄	—	4	1	no	—
409	D₄₄	—	4	1	no	—
410	D₄₄	—	4	1	no	—
411	D₄₄	—	4	1	no	—
412	C₄×D₁₁	—	2	2	no	—
413	C₄×D₁₁	—	2	2	no	—
414	C₄×D₁₁	—	2	2	no	—
415	C₄×D₁₁	—	2	2	no	—
416	C₄×D₁₁	—	4	1	no	—
417	C₄×D₁₁	—	4	1	no	—
418	C₄×D₁₁	—	4	1	no	—
419	C₄×D₁₁	—	4	1	no	—
420	C₄×D₁₁	—	4	1	no	—
421	C₄×D₁₁	—	4	1	no	—
422	C₄×D₁₁	—	4	1	no	—
423	C₄×D₁₁	—	4	1	no	—
424	C₄×D₁₁	—	4	1	no	—
425	C₄×D₁₁	—	4	1	no	—
426	C₄×D₁₁	—	4	1	no	—
427	Dic₂₂	—	4	1	no	—
428	Dic₂₂	—	4	1	no	—
429	Dic₂₂	—	4	1	no	—
430	Dic₂₂	—	4	1	no	—
431	Dic₂₂	—	4	1	no	—
432	Dic₂₂	—	4	1	no	—
433	#563	—	11	1	no	—
434	#563	—	11	1	no	—
435	#562	—	11	1	no	—
436	#562	—	11	1	no	—
437	#554	—	11	1	no	—
438	#554	D₁₁	1	1	yes	characteristic, complemented
439	#552	—	11	1	no	—
440	#552	—	11	1	no	—
441	#551	—	11	1	no	—
442	#551	—	11	1	no	—
443	#551	—	11	1	no	—
444	#551	—	11	1	no	—
445	#547	—	11	1	no	—
446	#547	—	11	1	no	—
447	#546	—	11	1	no	—
448	#546	—	11	1	no	—
449	#544	—	11	1	no	—
450	#543	—	11	1	no	—
451	#542	—	11	1	no	—
452	#542	—	11	1	no	—
453	#539	—	11	1	no	—
454	#539	—	11	1	no	—
455	#539	—	11	1	no	—
456	#539	—	11	1	no	—
457	#539	—	11	1	no	—
458	#538	—	11	1	no	—
459	#536	—	11	1	no	—
460	#536	—	11	1	no	—
461	#525	—	11	1	no	—
462	C₂×#123	—	11	1	no	—
463	C₂×C₂²⋊Q₈	—	11	1	no	—
464	C₂²×C₁₁	—	2	1	no	—
465	C₂²×C₁₁	—	2	1	no	—
466	C₂²×C₁₁	—	2	1	no	—
467	C₂²×C₁₁	—	2	1	no	—
468	C₂²×C₁₁	—	2	1	no	—
469	C₂²×C₁₁	2₋¹⁺⁴	1	2	yes	—
470	C₂²×C₁₁	C₂⁵	1	1	yes	characteristic
471	C₂×D₁₁	—	2	1	no	—
472	C₂×D₁₁	—	2	1	no	—
473	C₂×D₁₁	—	2	1	no	—
474	C₂×D₁₁	—	2	1	no	—
475	C₂×D₁₁	—	2	1	no	—
476	C₂×D₁₁	—	2	1	no	—
477	C₂×D₁₁	—	2	1	no	—
478	C₂×D₁₁	—	2	1	no	—
479	C₂×D₁₁	—	2	1	no	—
480	C₂×D₁₁	—	2	1	no	—
481	C₂×D₁₁	—	2	1	no	—
482	C₂×D₁₁	—	2	1	no	—
483	C₂×D₁₁	—	2	1	no	—
484	C₂×D₁₁	—	2	1	no	—
485	C₂×D₁₁	—	4	4	no	—
486	C₂×D₁₁	—	8	2	no	—
487	C₂×D₁₁	H(5,𝔽₂)	1	2	yes	—
488	C₄×C₁₁	—	2	1	no	—
489	C₄×C₁₁	—	2	1	no	—
490	C₄×C₁₁	—	2	1	no	—
491	C₄×C₁₁	—	2	1	no	—
492	C₄×C₁₁	—	2	1	no	—
493	C₄×C₁₁	—	2	1	no	—
494	C₄×C₁₁	—	2	1	no	—
495	C₄×C₁₁	—	2	1	no	—
496	C₄×C₁₁	—	2	1	no	—
497	C₄×C₁₁	—	2	1	no	—
498	C₄×C₁₁	—	2	1	no	—
499	C₄×C₁₁	—	2	1	no	—
500	C₄×C₁₁	—	2	1	no	—
501	Dic₁₁	—	2	1	no	—
502	Dic₁₁	—	2	1	no	—
503	Dic₁₁	—	2	1	no	—
504	Dic₁₁	—	2	1	no	—
505	Dic₁₁	—	2	1	no	—
506	Dic₁₁	—	2	1	no	—
507	Dic₁₁	—	2	1	no	—
508	Dic₁₁	—	2	1	no	—
509	Dic₁₁	—	2	1	no	—
510	Dic₁₁	—	2	1	no	—
511	Dic₁₁	—	2	1	no	—
512	C₂×#41	—	11	1	no	—
513	C₂×#41	—	11	1	no	—
514	C₂×#41	—	11	1	no	—
515	C₂²×Q₈	—	11	1	no	—
516	C₂²×D₄	—	11	1	no	—
517	C₂³×C₄	—	11	1	no	—
518	C₄⋊Q₈	—	11	1	no	—
519	C₄⋊Q₈	—	11	1	no	—
520	C₄⋊Q₈	—	11	1	no	—
521	C₄⋊Q₈	—	11	1	no	—
522	C₄⋊Q₈	—	11	1	no	—
523	C₄⋊Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
524	#126	—	11	1	no	—
525	#126	—	11	1	no	—
526	#126	—	11	1	no	—
527	#126	—	11	1	no	—
528	#126	—	11	1	no	—
529	#126	—	11	1	no	—
530	#126	—	11	1	no	—
531	#126	—	11	1	no	—
532	#126	—	11	1	no	—
533	#126	—	11	1	no	—
534	#126	—	11	1	no	—
535	#126	—	11	1	no	—
536	#125	—	11	1	no	—
537	#125	—	11	1	no	—
538	#125	—	11	1	no	—
539	#125	—	11	1	no	—
540	#125	—	11	1	no	—
541	#125	—	11	1	no	—
542	#125	—	11	1	no	—
543	#125	—	11	1	no	—
544	#125	C₂×D₁₁	1	1	yes	characteristic, complemented
545	#125	C₂×D₁₁	1	1	yes	characteristic, complemented
546	#124	—	11	1	no	—
547	#124	—	11	1	no	—
548	#124	—	11	1	no	—
549	#124	—	11	1	no	—
550	#124	—	11	1	no	—
551	#124	—	11	1	no	—
552	#124	—	11	1	no	—
553	#124	—	11	1	no	—
554	#123	—	11	1	no	—
555	#123	—	11	1	no	—
556	#123	—	11	1	no	—
557	#123	—	11	1	no	—
558	#123	—	11	1	no	—
559	#123	—	11	1	no	—
560	#123	—	11	1	no	—
561	#123	—	11	1	no	—
562	#123	—	11	1	no	—
563	#123	—	11	1	no	—
564	#123	—	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	C₂²⋊Q₈	—	11	1	no	—
583	C₂²⋊Q₈	—	11	1	no	—
584	C₂²⋊Q₈	—	11	1	no	—
585	C₂²⋊Q₈	—	11	1	no	—
586	C₂²⋊Q₈	—	11	1	no	—
587	C₂²⋊Q₈	—	11	1	no	—
588	C₂²⋊Q₈	—	11	1	no	—
589	C₂²⋊Q₈	—	11	1	no	—
590	C₂²⋊Q₈	—	11	1	no	—
591	C₂²⋊Q₈	—	11	1	no	—
592	C₂²⋊Q₈	—	11	1	no	—
593	C₂²⋊Q₈	—	11	1	no	—
594	C₂²⋊Q₈	—	11	1	no	—
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	—	11	1	no	—
610	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic
611	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic
612	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic
613	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
614	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
615	C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
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	#120	—	11	1	no	—
627	#120	—	11	1	no	—
628	#120	—	11	1	no	—
629	#120	—	11	1	no	—
630	C₄×Q₈	—	11	1	no	—
631	C₄×Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
632	C₄×D₄	—	11	1	no	—
633	C₄×D₄	—	11	1	no	—
634	C₄×D₄	—	11	1	no	—
635	C₄×D₄	—	11	1	no	—
636	C₄×D₄	—	11	1	no	—
637	C₄×D₄	—	11	1	no	—
638	C₄×D₄	—	11	1	no	—
639	C₄×D₄	—	11	1	no	—
640	C₄×D₄	—	11	1	no	—
641	C₄×D₄	—	11	1	no	—
642	C₄×D₄	—	11	1	no	—
643	C₄×D₄	C₂×D₁₁	1	1	yes	characteristic
644	C₄×D₄	C₂×D₁₁	1	1	yes	characteristic
645	C₄×D₄	C₂×D₁₁	1	1	yes	characteristic
646	#117	—	11	1	no	—
647	#117	—	11	1	no	—
648	#117	—	11	1	no	—
649	#117	—	11	1	no	—
650	#117	—	11	1	no	—
651	#117	—	11	1	no	—
652	#117	—	11	1	no	—
653	C₂×C₄⋊C₄	—	11	1	no	—
654	C₂×C₄⋊C₄	—	11	1	no	—
655	C₂×C₄⋊C₄	—	11	1	no	—
656	C₂×C₄⋊C₄	—	11	1	no	—
657	C₂×C₄⋊C₄	—	11	1	no	—
658	C₂×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic, complemented
660	C₂×C₂²⋊C₄	—	11	1	no	—
661	C₂×C₂²⋊C₄	—	11	1	no	—
662	C₂×C₂²⋊C₄	—	11	1	no	—
663	C₂×C₂²⋊C₄	—	11	1	no	—
664	C₂×C₂²⋊C₄	—	11	1	no	—
665	C₂×C₂²⋊C₄	—	11	1	no	—
666	C₂×C₂²⋊C₄	—	11	1	no	—
667	C₂×C₁₁	—	2	2	no	—
668	C₂×C₁₁	—	4	1	no	—
669	C₂×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
670	C₂×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
671	C₂×C₁₁	#585	1	1	yes	characteristic
672	D₁₁	—	2	2	no	—
673	D₁₁	—	4	1	no	—
674	D₁₁	—	4	1	no	—
675	D₁₁	—	4	1	no	—
676	D₁₁	—	4	1	no	—
677	C₂⁴	—	11	1	no	—
678	C₂⁴	—	11	1	no	—
679	#41	—	44	2	no	—
680	#41	—	44	2	no	—
681	#41	—	44	2	no	—
682	C₂×Q₈	—	11	1	no	—
683	C₂×Q₈	—	11	1	no	—
684	C₂×Q₈	—	11	1	no	—
685	C₂×Q₈	—	11	1	no	—
686	C₂×Q₈	—	11	1	no	—
687	C₂×Q₈	—	11	1	no	—
688	C₂×Q₈	—	44	2	no	—
689	C₂×Q₈	C₂²×D₁₁	1	1	yes	characteristic
690	C₂×Q₈	C₂²×D₁₁	1	1	yes	characteristic
691	C₂×Q₈	C₂²×D₁₁	1	1	yes	characteristic
692	C₂×D₄	—	11	1	no	—
693	C₂×D₄	—	11	1	no	—
694	C₂×D₄	—	11	1	no	—
695	C₂×D₄	—	11	1	no	—
696	C₂×D₄	—	11	1	no	—
697	C₂×D₄	—	11	1	no	—
698	C₂×D₄	—	11	1	no	—
699	C₂×D₄	—	11	1	no	—
700	C₂×D₄	—	11	1	no	—
701	C₂×D₄	—	11	1	no	—
702	C₂×D₄	—	11	1	no	—
703	C₂×D₄	—	11	1	no	—
704	C₂×D₄	—	11	1	no	—
705	C₂×D₄	—	11	1	no	—
706	C₂×D₄	—	44	2	no	—
707	C₂×D₄	C₂²×D₁₁	1	1	yes	characteristic
708	C₂²×C₄	—	11	1	no	—
709	C₂²×C₄	—	11	1	no	—
710	C₂²×C₄	—	11	1	no	—
711	C₂²×C₄	—	11	1	no	—
712	C₂²×C₄	—	11	1	no	—
713	C₂²×C₄	—	11	1	no	—
714	C₂²×C₄	—	11	1	no	—
715	C₂²×C₄	—	11	1	no	—
716	C₂²×C₄	—	11	1	no	—
717	C₂²×C₄	—	11	1	no	—
718	C₂²×C₄	—	11	1	no	—
719	C₂²×C₄	—	11	1	no	—
720	C₂²×C₄	—	11	1	no	—
721	C₂²×C₄	—	11	1	no	—
722	C₂²×C₄	—	11	1	no	—
723	C₂²×C₄	—	11	1	no	—
724	C₂²×C₄	—	11	1	no	—
725	C₂²×C₄	—	44	2	no	—
726	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
727	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
728	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
729	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
730	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
731	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
732	C₄⋊C₄	—	11	1	no	—
733	C₄⋊C₄	—	11	1	no	—
734	C₄⋊C₄	—	11	1	no	—
735	C₄⋊C₄	—	11	1	no	—
736	C₄⋊C₄	—	11	1	no	—
737	C₄⋊C₄	—	11	1	no	—
738	C₄⋊C₄	—	11	1	no	—
739	C₄⋊C₄	—	11	1	no	—
740	C₄⋊C₄	—	11	1	no	—
741	C₄⋊C₄	—	11	1	no	—
742	C₄⋊C₄	—	11	1	no	—
743	C₄⋊C₄	—	11	1	no	—
744	C₄⋊C₄	—	11	1	no	—
745	C₄⋊C₄	—	11	1	no	—
746	C₄⋊C₄	—	11	1	no	—
747	C₄⋊C₄	—	11	1	no	—
748	C₄⋊C₄	—	11	1	no	—
749	C₄⋊C₄	—	11	1	no	—
750	C₄⋊C₄	—	11	1	no	—
751	C₄⋊C₄	—	11	1	no	—
752	C₄⋊C₄	—	11	1	no	—
753	C₄⋊C₄	—	11	1	no	—
754	C₄⋊C₄	—	11	1	no	—
755	C₄⋊C₄	—	11	1	no	—
756	C₄⋊C₄	—	11	1	no	—
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	C₂²×D₁₁	1	1	yes	characteristic
767	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
768	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
769	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
770	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
771	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
772	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
773	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
774	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
775	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
776	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
777	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
778	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
779	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
780	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
781	C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
782	C₂²⋊C₄	—	11	1	no	—
783	C₂²⋊C₄	—	11	1	no	—
784	C₂²⋊C₄	—	11	1	no	—
785	C₂²⋊C₄	—	11	1	no	—
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	—	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	C₂²×D₁₁	1	1	yes	characteristic
823	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
824	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
825	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
826	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
827	C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
828	C₄²	—	11	1	no	—
829	C₄²	—	11	1	no	—
830	C₄²	—	11	1	no	—
831	C₄²	—	11	1	no	—
832	C₄²	—	11	1	no	—
833	C₄²	—	11	1	no	—
834	C₄²	—	11	1	no	—
835	C₄²	C₂²×D₁₁	1	1	yes	characteristic
836	C₄²	C₂²×D₁₁	1	1	yes	characteristic
837	C₄²	C₂²×D₁₁	1	1	yes	characteristic
838	C₁₁	#3535	1	1	yes	characteristic, complemented, Sylow
839	C₂³	—	11	1	no	—
840	C₂³	—	11	1	no	—
841	C₂³	—	11	1	no	—
842	C₂³	—	11	1	no	—
843	C₂³	—	11	1	no	—
844	C₂³	—	22	2	no	—
845	C₂³	—	22	2	no	—
846	C₂³	—	22	2	no	—
847	C₂³	—	44	1	no	—
848	C₂³	—	44	1	no	—
849	C₂³	—	44	1	no	—
850	C₂³	C₂³×D₁₁	1	1	yes	characteristic
851	C₂³	C₂³×D₁₁	1	1	yes	characteristic
852	Q₈	—	4	1	no	—
853	Q₈	—	4	1	no	—
854	Q₈	—	4	1	no	—
855	Q₈	—	44	1	no	—
856	Q₈	—	44	1	no	—
857	Q₈	—	44	1	no	—
858	Q₈	—	44	1	no	—
859	Q₈	—	44	1	no	—
860	Q₈	—	44	1	no	—
861	D₄	—	2	2	no	—
862	D₄	—	22	2	no	—
863	D₄	—	22	2	no	—
864	D₄	—	22	2	no	—
865	D₄	—	22	2	no	—
866	D₄	—	22	2	no	—
867	D₄	—	44	1	no	—
868	D₄	—	44	1	no	—
869	D₄	—	44	1	no	—
870	D₄	—	44	1	no	—
871	D₄	—	44	1	no	—
872	D₄	—	44	1	no	—
873	D₄	—	44	1	no	—
874	D₄	—	44	1	no	—
875	D₄	—	44	1	no	—
876	C₂×C₄	—	4	1	no	—
877	C₂×C₄	—	4	1	no	—
878	C₂×C₄	—	4	1	no	—
879	C₂×C₄	—	4	1	no	—
880	C₂×C₄	—	4	1	no	—
881	C₂×C₄	—	4	1	no	—
882	C₂×C₄	—	11	1	no	—
883	C₂×C₄	—	11	1	no	—
884	C₂×C₄	—	11	1	no	—
885	C₂×C₄	—	11	1	no	—
886	C₂×C₄	—	11	1	no	—
887	C₂×C₄	—	11	1	no	—
888	C₂×C₄	—	11	1	no	—
889	C₂×C₄	—	11	1	no	—
890	C₂×C₄	—	11	1	no	—
891	C₂×C₄	—	11	1	no	—
892	C₂×C₄	—	11	1	no	—
893	C₂×C₄	—	22	2	no	—
894	C₂×C₄	—	22	2	no	—
895	C₂×C₄	—	22	2	no	—
896	C₂×C₄	—	22	2	no	—
897	C₂×C₄	—	22	2	no	—
898	C₂×C₄	—	44	1	no	—
899	C₂×C₄	—	44	1	no	—
900	C₂×C₄	—	44	1	no	—
901	C₂×C₄	—	44	1	no	—
902	C₂×C₄	—	44	1	no	—
903	C₂×C₄	—	44	1	no	—
904	C₂×C₄	—	44	1	no	—
905	C₂×C₄	—	44	1	no	—
906	C₂×C₄	—	44	1	no	—
907	C₂×C₄	—	44	1	no	—
908	C₂×C₄	—	44	1	no	—
909	C₂×C₄	—	44	1	no	—
910	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
911	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
912	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
913	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
914	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
915	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
916	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
917	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
918	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
919	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
920	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
921	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
922	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
923	C₂²	—	2	1	no	—
924	C₂²	—	2	1	no	—
925	C₂²	—	2	1	no	—
926	C₂²	—	2	1	no	—
927	C₂²	—	2	1	no	—
928	C₂²	—	11	2	no	—
929	C₂²	—	22	1	no	—
930	C₂²	—	22	1	no	—
931	C₂²	—	22	1	no	—
932	C₂²	—	22	1	no	—
933	C₂²	—	22	1	no	—
934	C₂²	—	22	1	no	—
935	C₂²	—	22	1	no	—
936	C₂²	—	22	1	no	—
937	C₂²	—	22	1	no	—
938	C₂²	—	22	1	no	—
939	C₂²	—	22	1	no	—
940	C₂²	—	22	1	no	—
941	C₂²	—	22	1	no	—
942	C₂²	—	22	1	no	—
943	C₂²	—	44	4	no	—
944	C₂²	—	88	2	no	—
945	C₂²	#67040	1	2	yes	—
946	C₂²	C₂⁴×D₁₁	1	1	yes	characteristic
947	C₄	—	2	1	no	—
948	C₄	—	2	1	no	—
949	C₄	—	2	1	no	—
950	C₄	—	2	1	no	—
951	C₄	—	2	1	no	—
952	C₄	—	2	1	no	—
953	C₄	—	2	1	no	—
954	C₄	—	2	1	no	—
955	C₄	—	2	1	no	—
956	C₄	—	2	1	no	—
957	C₄	—	2	1	no	—
958	C₄	—	2	1	no	—
959	C₄	—	2	1	no	—
960	C₄	—	22	1	no	—
961	C₄	—	22	1	no	—
962	C₄	—	22	1	no	—
963	C₄	—	22	1	no	—
964	C₄	—	22	1	no	—
965	C₄	—	22	1	no	—
966	C₄	—	22	1	no	—
967	C₄	—	22	1	no	—
968	C₄	—	22	1	no	—
969	C₄	—	22	1	no	—
970	C₄	—	22	1	no	—
971	C₂	—	2	2	no	—
972	C₂	—	4	1	no	—
973	C₂	—	22	2	no	—
974	C₂	—	44	1	no	—
975	C₂	—	44	1	no	—
976	C₂	—	44	1	no	—
977	C₂	—	44	1	no	—
978	C₂	C₂×#67040	1	1	yes	characteristic
979	C₂	#10623453	1	1	yes	characteristic
980	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×#554	C₂
hypercenter	#554	D₁₁
hypocenter	C₁₁	#3535
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ #554

Complements

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

N	H ≅ G/N	type
1. C₁₁×#554	C₂	semidirect
2. #10623266	C₂	semidirect
3. #10623255	C₂	semidirect
4. #10623230	C₂	semidirect
5. #10623224	C₂	semidirect
6. #10623223	C₂	semidirect
7. #10623223	C₂	semidirect
8. #10623178	C₂	semidirect
9. #10623178	C₂	semidirect
10. #10623171	C₂	semidirect
11. #10623169	C₂	semidirect
12. #10623168	C₂	semidirect
13. #10623168	C₂	semidirect
14. #10623165	C₂	semidirect
15. #10623162	C₂	semidirect
16. #10623161	C₂	semidirect
17. #10623159	C₂	semidirect
18. D₁₁×C₂²⋊Q₈	C₂	semidirect
19. #10623154	C₂	semidirect
20. #10623113	C₂	semidirect
21. #10623112	C₂	semidirect
22. #10623095	C₂	semidirect
23. #10623091	C₂	semidirect
24. #10623087	C₂	semidirect
25. #10623087	C₂	semidirect
26. #10623081	C₂	semidirect
27. #10623078	C₂	semidirect
28. #10623046	C₂	semidirect
29. #10623042	C₂	semidirect
30. #10623038	C₂	semidirect
31. C₂×#66947	C₂	semidirect
33. C₂×Q₈×D₁₁	C₂²	semidirect
35. C₂×#4339	C₂²	semidirect
38. C₁₁×C₄⋊Q₈	C₂²	semidirect
39. C₁₁×#125	C₂²	semidirect
40. C₁₁×#125	C₂²	semidirect
44. C₁₁×C₂²⋊Q₈	C₂²	semidirect
45. C₁₁×C₂²⋊Q₈	C₂²	semidirect
46. C₁₁×C₂²⋊Q₈	C₂²	semidirect
47. C₄×Q₈×C₁₁	C₂²	semidirect
52. C₂×C₁₁×C₄⋊C₄	C₂²	semidirect
54. #67000	C₂²	semidirect
55. #67000	C₂²	semidirect
56. #66999	C₂²	semidirect
57. #66999	C₂²	semidirect
58. #66999	C₂²	semidirect
59. #66999	C₂²	semidirect
60. #66999	C₂²	semidirect
61. #66997	C₂²	semidirect
62. #66997	C₂²	semidirect
68. #66983	C₂²	semidirect
69. #66982	C₂²	semidirect
70. #66982	C₂²	semidirect
71. #66982	C₂²	semidirect
72. #66982	C₂²	semidirect
76. C₄×C₂²⋊D₁₁	C₂²	semidirect
77. C₄×C₂²⋊D₁₁	C₂²	semidirect
78. C₄×C₂²⋊D₁₁	C₂²	semidirect
85. #66977	C₂²	semidirect
87. #66951	C₂²	semidirect
88. #66951	C₂²	semidirect
89. #66951	C₂²	semidirect
90. #66951	C₂²	semidirect
91. #66951	C₂²	semidirect
92. #66951	C₂²	semidirect
93. #66951	C₂²	semidirect
94. #66950	C₂²	semidirect
95. #66950	C₂²	semidirect
96. #66950	C₂²	semidirect
97. #66950	C₂²	semidirect
98. #66949	C₂²	semidirect
99. #66949	C₂²	semidirect
100. #66949	C₂²	semidirect
101. #66949	C₂²	semidirect
102. #66949	C₂²	semidirect
103. #66949	C₂²	semidirect
104. #66949	C₂²	semidirect
105. #66949	C₂²	semidirect
106. #66949	C₂²	semidirect
107. #66949	C₂²	semidirect
108. #66949	C₂²	semidirect
109. #66949	C₂²	semidirect
125. #66947	C₂²	semidirect
126. #66947	C₂²	semidirect
127. #66947	C₂²	semidirect
128. #66947	C₂²	semidirect
129. #66947	C₂²	semidirect
130. #66947	C₂²	semidirect
132. #66946	C₂²	semidirect
133. #66946	C₂²	semidirect
134. #66945	C₂²	semidirect
135. #66945	C₂²	semidirect
136. C₄⋊C₄×D₁₁	C₂²	semidirect
137. C₄⋊C₄×D₁₁	C₂²	semidirect
138. C₄⋊C₄×D₁₁	C₂²	semidirect
139. C₄⋊C₄×D₁₁	C₂²	semidirect
140. #66942	C₂²	semidirect
141. #66942	C₂²	semidirect
142. #66942	C₂²	semidirect
143. #66942	C₂²	semidirect
144. #66942	C₂²	semidirect
145. #66942	C₂²	semidirect
146. #66942	C₂²	semidirect
147. #66941	C₂²	semidirect
148. #66941	C₂²	semidirect
149. #66941	C₂²	semidirect
150. #66940	C₂²	semidirect
152. #66938	C₂²	semidirect
153. #66938	C₂²	semidirect
154. #66938	C₂²	semidirect
157. #66937	C₂²	semidirect
158. #66937	C₂²	semidirect
159. #66936	C₂²	semidirect
160. #66936	C₂²	semidirect
161. #66936	C₂²	semidirect
162. #66936	C₂²	semidirect
169. #66932	C₂²	semidirect
175. #66929	C₂²	semidirect
176. #66929	C₂²	semidirect
177. #66929	C₂²	semidirect
178. #66929	C₂²	semidirect
180. #66928	C₂²	semidirect
182. C₄×D₄₄	C₂²	semidirect
183. #66925	C₂²	semidirect
184. #66925	C₂²	semidirect
185. #66925	C₂²	semidirect
186. #66923	C₂²	semidirect
438. #554	D₁₁	semidirect
523. C₄⋊Q₈	C₂×D₁₁	semidirect
544. #125	C₂×D₁₁	semidirect
545. #125	C₂×D₁₁	semidirect
613. C₂²⋊Q₈	C₂×D₁₁	semidirect
614. C₂²⋊Q₈	C₂×D₁₁	semidirect
615. C₂²⋊Q₈	C₂×D₁₁	semidirect
631. C₄×Q₈	C₂×D₁₁	semidirect
659. C₂×C₄⋊C₄	C₂×D₁₁	semidirect
838. C₁₁	#3535	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#554	2
#10623266	2
#10623255	2
#10623230	2
#10623224	2
#10623223	2
#10623178	2
#10623171	2
#10623169	2
#10623168	2
#10623165	2
#10623162	2
#10623161	2
#10623159	2
D₁₁×C₂²⋊Q₈	2
#10623154	2
#10623113	2
#10623112	2
#10623095	2
#10623091	2
#10623087	2
#10623081	2
#10623078	2
#10623046	2
#10623042	2
#10623038	2
C₂×#66947	2
#3535	11