Subgroups — #15618586

Order 2816.

2298 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10623078	C₂	1	1	yes	maximal, characteristic
2	#13077669	C₂	1	2	yes	maximal, complemented
3	#13077667	C₂	1	2	yes	maximal, complemented
4	#13077663	C₂	1	2	yes	maximal, complemented
5	#13077660	C₂	1	2	yes	maximal, complemented
6	#13077652	C₂	1	1	yes	maximal, characteristic, complemented
7	#13077651	C₂	1	1	yes	maximal, characteristic, complemented
8	#13077647	C₂	1	1	yes	maximal, characteristic, complemented
9	#13077644	C₂	1	1	yes	maximal, characteristic, complemented
10	#13077643	C₂	1	1	yes	maximal, characteristic, complemented
11	#13077639	C₂	1	1	yes	maximal, characteristic, complemented
12	#13077638	C₂	1	1	yes	maximal, characteristic, complemented
13	#13077345	C₂	1	2	yes	maximal, complemented
14	#13077339	C₂	1	2	yes	maximal, complemented
15	#13077307	C₂	1	2	yes	maximal, complemented
16	#13077305	C₂	1	2	yes	maximal, complemented
17	#13077275	C₂	1	1	yes	maximal, characteristic, complemented
18	#13077269	C₂	1	1	yes	maximal, characteristic, complemented
19	#13077066	C₂	1	1	yes	maximal, characteristic, complemented
20	#13077062	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₁×#407	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×D₁₁×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2974	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#4339	C₂²	1	1	yes	characteristic
25	C₂³×C₄×D₁₁	C₂²	1	1	yes	characteristic
26	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
27	C₂×#66992	C₄	1	1	yes	characteristic
28	C₂×#66990	C₄	1	1	yes	characteristic
29	C₂×C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
30	C₂×C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
31	C₂×#66960	C₂²	1	2	yes	complemented
32	C₂×M₁₆×D₁₁	C₂²	1	2	yes	complemented
33	C₂×#66954	C₂²	1	2	yes	complemented
34	C₂²×C₈×D₁₁	C₂²	1	2	yes	complemented
35	#10623078	C₄	1	1	yes	characteristic
36	#10623078	C₄	1	1	yes	characteristic
37	#10623078	C₄	1	1	yes	characteristic
38	#10623078	C₄	1	1	yes	characteristic
39	#10623078	C₄	1	1	yes	characteristic
40	#10623078	C₄	1	1	yes	characteristic
41	#10623078	C₄	1	1	yes	characteristic
42	#10623078	C₄	1	1	yes	characteristic
43	#10623078	C₂²	1	1	yes	characteristic
44	#10623078	C₂²	1	1	yes	characteristic
45	#10623078	C₂²	1	1	yes	characteristic
46	#10623078	C₂²	1	1	yes	characteristic
47	#10623078	C₂²	1	1	yes	characteristic
48	#10623078	C₂²	1	1	yes	characteristic
49	#10623078	C₂²	1	1	yes	characteristic
50	#10623078	C₂²	1	1	yes	characteristic
51	C₂×#66949	C₄	1	1	yes	characteristic
52	C₂×#66947	C₄	1	1	yes	characteristic
53	C₂×#66937	C₄	1	1	yes	characteristic
54	C₂×#66936	C₄	1	1	yes	characteristic
55	C₂×#66935	C₄	1	1	yes	characteristic
56	C₂×#66931	C₄	1	1	yes	characteristic
57	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
58	C₂×#66925	C₂²	1	1	yes	characteristic
59	C₁₁×#436	C₂²	1	2	yes	complemented
60	C₁₁×#435	C₂²	1	2	yes	complemented
61	C₁₁×#435	C₂²	1	2	yes	complemented
62	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
63	C₁₁×#432	C₂²	1	1	yes	characteristic, complemented
64	C₁₁×#431	C₂²	1	1	yes	characteristic, complemented
65	C₁₁×#407	C₂²	1	1	yes	characteristic
66	C₁₁×#407	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
68	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
69	#10622820	C₂²	1	1	yes	characteristic
70	#10622820	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₂²⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic
72	C₂×C₂²⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic, complemented
73	#10622742	C₂²	1	2	yes	complemented
74	#10622741	C₂²	1	2	yes	complemented
75	#10622740	C₂²	1	2	yes	complemented
76	#10622740	C₂²	1	2	yes	complemented
77	#10622740	C₂²	1	2	yes	complemented
78	#10622739	C₂²	1	2	yes	complemented
79	#10622724	C₂²	1	2	yes	complemented
80	#10622723	C₂²	1	2	yes	complemented
81	C₈×C₂²⋊D₁₁	C₂²	1	2	yes	complemented
82	C₈×C₂²⋊D₁₁	C₂²	1	2	yes	complemented
83	C₈×C₂²⋊D₁₁	C₂²	1	2	yes	complemented
84	C₂×(C₂×D₁₁)⋊C₈	C₂²	1	2	yes	complemented
85	#10622625	C₂²	1	2	yes	complemented
86	#10622624	C₂²	1	2	yes	complemented
87	#10622624	C₂²	1	2	yes	complemented
88	D₄×C₁₁⋊C₈	C₂²	1	2	yes	complemented
89	#10622539	C₂²	1	1	yes	characteristic, complemented
90	#10622538	C₂²	1	1	yes	characteristic, complemented
91	#10622453	C₂²	1	2	yes	complemented
92	#10622453	C₂²	1	2	yes	complemented
93	#10622452	C₂²	1	2	yes	complemented
94	#10622452	C₂²	1	2	yes	complemented
95	#10622449	C₂²	1	2	yes	complemented
96	#10622449	C₂²	1	2	yes	complemented
97	#10622447	C₂²	1	2	yes	complemented
98	#10622447	C₂²	1	2	yes	complemented
99	#10622343	C₂²	1	2	yes	complemented
100	#10622342	C₂²	1	2	yes	complemented
101	#10622341	C₂²	1	2	yes	complemented
102	#10622341	C₂²	1	2	yes	complemented
103	#10622341	C₂²	1	2	yes	complemented
104	#10622340	C₂²	1	2	yes	complemented
105	#10622340	C₂²	1	2	yes	complemented
106	#10622340	C₂²	1	2	yes	complemented
107	#10622340	C₂²	1	2	yes	complemented
108	#10622339	C₂²	1	1	yes	characteristic
109	#10622339	C₂²	1	1	yes	characteristic
110	#10622339	C₂²	1	2	yes	complemented
111	#10622339	C₂²	1	1	yes	characteristic, complemented
112	#10622339	C₂²	1	1	yes	characteristic, complemented
113	(C₂²⋊D₁₁)⋊C₈	C₂²	1	2	yes	complemented
114	(C₂²⋊D₁₁)⋊C₈	C₂²	1	2	yes	complemented
115	(C₂²⋊D₁₁)⋊C₈	C₂²	1	2	yes	complemented
116	D₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
117	D₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
118	D₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
119	D₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
120	D₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
121	D₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
122	D₁₁×C₂²⋊C₈	C₂²	1	2	yes	complemented
123	D₁₁×C₂²⋊C₈	C₂²	1	2	yes	complemented
124	D₁₁×C₂²⋊C₈	C₂²	1	2	yes	complemented
125	D₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
126	D₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
127	#10622332	C₂²	1	1	yes	characteristic, complemented
128	#10622332	C₂²	1	1	yes	characteristic, complemented
129	#10622331	C₂²	1	1	yes	characteristic, complemented
130	#10622331	C₂²	1	1	yes	characteristic, complemented
131	#10622322	C₂²	1	2	yes	complemented
132	#10622321	C₂²	1	2	yes	complemented
133	#10622319	C₂²	1	2	yes	complemented
134	#10622319	C₂²	1	2	yes	complemented
135	#10622303	C₂²	1	2	yes	complemented
136	#10622302	C₂²	1	2	yes	complemented
137	C₈×D₄₄	C₂²	1	2	yes	complemented
138	C₈×D₄₄	C₂²	1	2	yes	complemented
139	C₂⁴×D₁₁	C₂×C₄	1	1	yes	characteristic
140	C₂²×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
141	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
143	C₂²×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
144	C₂²×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
145	C₂²×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
146	C₂²×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
147	C₂³×Dic₁₁	C₂×C₄	1	1	yes	characteristic
148	C₂×#4339	—	4	4	no	—
149	C₂×#4339	C₂×C₄	1	1	yes	characteristic
150	C₂×#4339	C₂×C₄	1	1	yes	characteristic
151	C₂×#4339	C₂×C₄	1	1	yes	characteristic
152	C₂×#4339	C₂×C₄	1	1	yes	characteristic
153	C₂×#4339	C₂³	1	1	yes	characteristic
154	C₂×#4339	C₂³	1	1	yes	characteristic
155	C₂×#4339	C₂³	1	1	yes	characteristic
156	C₂×#4339	C₂³	1	1	yes	characteristic
157	C₂²×D₄₄	C₂×C₄	1	1	yes	characteristic
158	C₂²×D₄₄	C₂×C₄	1	1	yes	characteristic
159	C₂²×C₄×D₁₁	—	4	4	no	—
160	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
161	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
162	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
163	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
164	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
165	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
166	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
167	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
173	C₂²×Dic₂₂	C₂×C₄	1	1	yes	characteristic
174	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
175	C₂×C₁₁×M₁₆	C₂³	1	2	yes	complemented
176	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
177	C₂²×C₈×C₁₁	C₂³	1	2	yes	complemented
178	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
179	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
180	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
181	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
182	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
183	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
184	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
185	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
186	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
187	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
188	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
189	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
190	C₂×C₂²⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
191	C₂×C₂²⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
192	#66992	C₂×C₄	1	1	yes	characteristic
193	#66992	C₂×C₄	1	1	yes	characteristic
194	#66992	C₂×C₄	1	1	yes	characteristic
195	#66992	C₂×C₄	1	1	yes	characteristic
196	#66992	C₂×C₄	1	1	yes	characteristic
197	#66992	C₂×C₄	1	1	yes	characteristic
198	#66992	C₂×C₄	1	1	yes	characteristic
199	#66992	C₂×C₄	1	1	yes	characteristic
200	#66990	C₂×C₄	1	1	yes	characteristic
201	#66990	C₂×C₄	1	1	yes	characteristic
202	#66990	C₂×C₄	1	1	yes	characteristic
203	#66990	C₂×C₄	1	1	yes	characteristic
204	#66990	C₂×C₄	1	1	yes	characteristic
205	#66990	C₂×C₄	1	1	yes	characteristic
206	#66990	C₂×C₄	1	1	yes	characteristic
207	#66990	C₂×C₄	1	1	yes	characteristic
208	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
209	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
210	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
211	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
212	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
213	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
214	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
215	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
216	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
217	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
218	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
219	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
220	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
221	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
222	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
223	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
224	C₂×(C₂×D₁₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
225	C₂×(C₂×D₁₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
226	C₂×(C₂×D₁₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
227	C₂×(C₂×D₁₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
228	C₂×(C₂×D₁₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
229	C₂×(C₂×D₁₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
230	C₂×C₄⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
231	C₂×Dic₁₁⋊C₄	C₂×C₄	1	1	yes	characteristic
232	C₂×Dic₁₁⋊C₄	C₂×C₄	1	1	yes	characteristic
233	C₂×Dic₁₁⋊C₄	C₂×C₄	1	1	yes	characteristic
234	C₂×Dic₁₁⋊C₄	C₂×C₄	1	1	yes	characteristic
235	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
236	C₂×#4318	C₂³	1	2	yes	—
237	C₂×#4318	C₂³	1	2	yes	complemented
238	C₂²×C₁₁⋊C₈	C₂³	1	2	yes	—
239	C₂²×C₁₁⋊C₈	C₂³	1	2	yes	complemented
240	#66960	—	4	4	no	—
241	M₁₆×D₁₁	—	4	4	no	—
242	#66954	—	4	4	no	—
243	C₂×#4313	C₂³	1	2	yes	—
244	C₂×#4313	C₂³	1	2	yes	—
245	C₂×#4313	C₂³	1	2	yes	complemented
246	C₂×#4313	C₂³	1	2	yes	complemented
247	C₂×C₈×D₁₁	—	4	4	no	—
248	C₂×C₈×D₁₁	C₂³	1	2	yes	—
249	C₂×C₈×D₁₁	C₂³	1	2	yes	—
250	C₂×C₈×D₁₁	C₂³	1	2	yes	—
251	C₂×C₈×D₁₁	C₂³	1	2	yes	—
252	C₂×C₈×D₁₁	C₂³	1	2	yes	—
253	C₂×C₈×D₁₁	C₂³	1	2	yes	—
254	C₂×C₈×D₁₁	C₂³	1	2	yes	complemented
255	C₂×C₈×D₁₁	C₂³	1	2	yes	complemented
256	#66949	C₂×C₄	1	1	yes	characteristic
257	#66949	C₂×C₄	1	1	yes	characteristic
258	#66949	C₂×C₄	1	1	yes	characteristic
259	#66949	C₂×C₄	1	1	yes	characteristic
260	#66949	C₂×C₄	1	1	yes	characteristic
261	#66949	C₂×C₄	1	1	yes	characteristic
262	#66949	C₂×C₄	1	1	yes	characteristic
263	#66949	C₂×C₄	1	1	yes	characteristic
264	#66947	C₂×C₄	1	1	yes	characteristic
265	#66947	C₂×C₄	1	1	yes	characteristic
266	#66947	C₂×C₄	1	1	yes	characteristic
267	#66947	C₂×C₄	1	1	yes	characteristic
268	#66947	C₂×C₄	1	1	yes	characteristic
269	#66947	C₂×C₄	1	1	yes	characteristic
270	#66947	C₂×C₄	1	1	yes	characteristic
271	#66947	C₂×C₄	1	1	yes	characteristic
272	#66937	C₂×C₄	1	1	yes	characteristic
273	#66937	C₂×C₄	1	1	yes	characteristic
274	#66937	C₂×C₄	1	1	yes	characteristic
275	#66937	C₂×C₄	1	1	yes	characteristic
276	#66937	C₂×C₄	1	1	yes	characteristic
277	#66937	C₂×C₄	1	1	yes	characteristic
278	#66937	C₂×C₄	1	1	yes	characteristic
279	#66937	C₂×C₄	1	1	yes	characteristic
280	#66936	C₂×C₄	1	1	yes	characteristic
281	#66936	C₂×C₄	1	1	yes	characteristic
282	#66936	C₂×C₄	1	1	yes	characteristic
283	#66936	C₂×C₄	1	1	yes	characteristic
284	#66936	C₂×C₄	1	1	yes	characteristic
285	#66936	C₂×C₄	1	1	yes	characteristic
286	#66936	C₂×C₄	1	1	yes	characteristic
287	#66936	C₂×C₄	1	1	yes	characteristic
288	#66935	C₂×C₄	1	1	yes	characteristic
289	#66935	C₂×C₄	1	1	yes	characteristic
290	#66935	C₂×C₄	1	1	yes	characteristic
291	#66935	C₂×C₄	1	1	yes	characteristic
292	#66935	C₂×C₄	1	1	yes	characteristic
293	#66935	C₂×C₄	1	1	yes	characteristic
294	#66935	C₂×C₄	1	1	yes	characteristic
295	#66935	C₂×C₄	1	1	yes	characteristic
296	#66931	C₂×C₄	1	1	yes	characteristic
297	#66931	C₂×C₄	1	1	yes	characteristic
298	#66931	C₂×C₄	1	1	yes	characteristic
299	#66931	C₂×C₄	1	1	yes	characteristic
300	#66931	C₂×C₄	1	1	yes	characteristic
301	#66931	C₂×C₄	1	1	yes	characteristic
302	#66931	C₂×C₄	1	1	yes	characteristic
303	#66931	C₂×C₄	1	1	yes	characteristic
304	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
305	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
306	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
307	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
308	C₄×D₄₄	C₂³	1	1	yes	characteristic
309	C₄×D₄₄	C₂³	1	1	yes	characteristic
310	C₄×D₄₄	C₂³	1	1	yes	characteristic
311	C₄×D₄₄	C₂³	1	1	yes	characteristic
312	#66925	C₂×C₄	1	1	yes	characteristic
313	#66925	C₂×C₄	1	1	yes	characteristic
314	#66925	C₂×C₄	1	1	yes	characteristic
315	#66925	C₂×C₄	1	1	yes	characteristic
316	#66925	C₂³	1	1	yes	characteristic
317	#66925	C₂³	1	1	yes	characteristic
318	#66925	C₂³	1	1	yes	characteristic
319	#66925	C₂³	1	1	yes	characteristic
320	C₁₁×C₄⋊C₈	C₂³	1	2	yes	complemented
321	C₁₁×C₄⋊C₈	C₂³	1	2	yes	complemented
322	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
323	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
324	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
325	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
326	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
327	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
328	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	complemented
329	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	complemented
330	C₁₁×#97	C₂³	1	2	yes	complemented
331	C₄×C₈×C₁₁	C₂³	1	2	yes	complemented
332	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
333	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
334	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
335	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
336	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
337	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
338	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	complemented
339	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	complemented
340	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
341	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
342	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
343	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
344	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
345	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
346	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
347	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
348	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	complemented
349	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	complemented
350	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	complemented
351	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	complemented
352	#66879	C₂³	1	2	yes	complemented
353	#66879	C₂³	1	2	yes	complemented
354	Dic₁₁⋊C₈	C₂³	1	2	yes	complemented
355	Dic₁₁⋊C₈	C₂³	1	2	yes	complemented
356	Dic₁₁⋊C₈	C₂³	1	2	yes	complemented
357	Dic₁₁⋊C₈	C₂³	1	2	yes	complemented
358	C₈×Dic₁₁	C₂³	1	2	yes	complemented
359	C₈×Dic₁₁	C₂³	1	2	yes	complemented
360	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	complemented
361	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	complemented
362	#66867	C₂³	1	2	yes	complemented
363	C₄×C₁₁⋊C₈	C₂³	1	2	yes	complemented
364	#60233	—	11	1	no	maximal, Sylow
365	C₂⁴×C₁₁	C₂²×C₄	1	1	yes	characteristic
366	C₂⁴×C₁₁	C₂²×C₄	1	1	yes	characteristic
367	C₂³×D₁₁	—	2	4	no	—
368	C₂³×D₁₁	—	4	2	no	—
369	C₂³×D₁₁	—	4	2	no	—
370	C₂³×D₁₁	C₂²×C₄	1	1	yes	characteristic
371	C₂³×D₁₁	C₂²×C₄	1	1	yes	characteristic
372	C₂³×D₁₁	C₂²×C₄	1	1	yes	characteristic
373	C₂³×D₁₁	C₂²×C₄	1	1	yes	characteristic
374	C₂³×D₁₁	C₂²×C₄	1	1	yes	characteristic
375	C₂³×D₁₁	C₂²×C₄	1	1	yes	characteristic
376	C₂³×D₁₁	C₂²×C₄	1	1	yes	characteristic
377	C₂×D₄×C₁₁	—	4	2	no	—
378	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
379	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
380	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
381	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
382	C₂²×C₄×C₁₁	—	4	2	no	—
383	C₂²×C₄×C₁₁	—	4	2	no	—
384	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
385	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
386	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
387	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
389	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
390	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
391	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
392	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
397	C₂×C₂²⋊D₁₁	—	2	4	no	—
398	C₂×C₂²⋊D₁₁	—	4	2	no	—
399	C₂×C₂²⋊D₁₁	—	4	2	no	—
400	C₂×C₂²⋊D₁₁	—	4	2	no	—
401	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
402	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
403	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
404	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
405	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
406	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
408	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
410	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
411	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
412	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
413	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
414	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
415	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
417	C₂²×Dic₁₁	—	4	2	no	—
418	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
419	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
420	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
421	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
422	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
423	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
424	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
425	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
426	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
427	#4339	—	2	4	no	—
428	#4339	—	2	4	no	—
429	#4339	—	4	2	no	—
430	#4339	—	4	2	no	—
431	#4339	—	4	2	no	—
432	#4339	—	4	2	no	—
433	#4339	—	4	2	no	—
434	#4339	—	4	2	no	—
435	C₂×D₄₄	—	2	4	no	—
436	C₂×D₄₄	—	4	2	no	—
437	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
438	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
439	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
440	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
441	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
442	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
443	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
444	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
445	C₂×C₄×D₁₁	—	2	4	no	—
446	C₂×C₄×D₁₁	—	2	4	no	—
447	C₂×C₄×D₁₁	—	2	4	no	—
448	C₂×C₄×D₁₁	—	4	2	no	—
449	C₂×C₄×D₁₁	—	4	2	no	—
450	C₂×C₄×D₁₁	—	4	2	no	—
451	C₂×C₄×D₁₁	—	4	2	no	—
452	C₂×C₄×D₁₁	—	4	2	no	—
453	C₂×C₄×D₁₁	—	4	2	no	—
454	C₂×C₄×D₁₁	—	4	2	no	—
455	C₂×C₄×D₁₁	—	4	2	no	—
456	C₂×C₄×D₁₁	—	4	2	no	—
457	C₂×C₄×D₁₁	—	4	2	no	—
458	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
459	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
460	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
461	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
462	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
463	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
464	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
465	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
466	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
467	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
468	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
469	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
470	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
471	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
472	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
473	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
474	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
475	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
476	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
477	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
478	C₂×Dic₂₂	—	4	2	no	—
479	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
480	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
481	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
482	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
483	C₁₁×M₁₆	—	4	2	no	—
484	C₁₁×M₁₆	—	4	2	no	—
485	C₂×C₈×C₁₁	—	4	2	no	—
486	C₂×C₈×C₁₁	—	4	2	no	—
487	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
488	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
489	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
490	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
491	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
492	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
493	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
494	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
495	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
496	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
497	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
498	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
499	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
500	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
501	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
502	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
503	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
504	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
505	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
506	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
507	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
508	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
509	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
510	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
511	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
512	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
513	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
514	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
515	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
516	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
517	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
518	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
519	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
520	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
521	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
522	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
523	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
524	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
525	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
526	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
527	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
528	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
529	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
530	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
531	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
532	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
533	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
534	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
535	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
536	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
537	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
538	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
539	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
540	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
541	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
542	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
543	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
544	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
545	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
546	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
547	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
548	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
549	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
550	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
551	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
552	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
553	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
554	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
555	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
556	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
557	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
560	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
561	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
562	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
563	#4318	—	4	2	no	—
564	#4318	—	4	2	no	—
565	C₂×C₁₁⋊C₈	—	4	2	no	—
566	C₂×C₁₁⋊C₈	—	4	2	no	—
567	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
568	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
569	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
570	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
571	#4313	—	2	4	no	—
572	#4313	—	2	4	no	—
573	#4313	—	4	2	no	—
574	#4313	—	4	2	no	—
575	C₈×D₁₁	—	2	4	no	—
576	C₈×D₁₁	—	2	4	no	—
577	C₈×D₁₁	—	4	2	no	—
578	C₈×D₁₁	—	4	2	no	—
579	C₈×D₁₁	—	4	2	no	—
580	C₈×D₁₁	—	4	2	no	—
581	C₈×D₁₁	—	4	2	no	—
582	C₈×D₁₁	—	4	2	no	—
583	C₂×#525	—	11	1	no	—
584	#2977	—	11	2	no	—
585	#2977	—	11	2	no	—
586	#2976	—	11	2	no	—
587	#2976	—	11	2	no	—
588	#2974	—	11	1	no	—
589	#2974	—	11	1	no	—
590	#2974	—	11	1	no	—
591	#2974	D₁₁	1	1	yes	characteristic, complemented
592	#2973	—	11	1	no	—
593	#2973	—	11	1	no	—
594	#2972	—	11	1	no	—
595	#2972	—	11	1	no	—
596	#2933	—	11	2	no	—
597	#2933	—	11	2	no	—
598	#2929	—	11	2	no	—
599	#2929	—	11	2	no	—
600	#2924	—	11	1	no	—
601	#2924	—	11	1	no	—
602	#2880	—	11	1	no	—
603	#2880	—	11	1	no	—
604	C₂×#407	—	11	1	no	—
605	C₂²×C₂²⋊C₈	—	11	1	no	—
606	C₂³×C₁₁	—	2	2	no	—
607	C₂³×C₁₁	—	2	2	no	—
608	C₂³×C₁₁	—	2	2	no	—
609	C₂³×C₁₁	—	4	1	no	—
610	C₂³×C₁₁	—	4	1	no	—
611	C₂³×C₁₁	—	4	1	no	—
612	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
613	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
614	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
615	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
616	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
617	C₂²×D₁₁	—	2	2	no	—
618	C₂²×D₁₁	—	2	2	no	—
619	C₂²×D₁₁	—	2	2	no	—
620	C₂²×D₁₁	—	2	2	no	—
621	C₂²×D₁₁	—	2	2	no	—
622	C₂²×D₁₁	—	2	2	no	—
623	C₂²×D₁₁	—	2	2	no	—
624	C₂²×D₁₁	—	2	2	no	—
625	C₂²×D₁₁	—	2	2	no	—
626	C₂²×D₁₁	—	2	2	no	—
627	C₂²×D₁₁	—	2	2	no	—
628	C₂²×D₁₁	—	4	1	no	—
629	C₂²×D₁₁	—	4	1	no	—
630	C₂²×D₁₁	—	4	1	no	—
631	C₂²×D₁₁	—	4	1	no	—
632	C₂²×D₁₁	—	4	1	no	—
633	C₂²×D₁₁	—	4	1	no	—
634	C₂²×D₁₁	—	4	1	no	—
635	C₂²×D₁₁	—	4	1	no	—
636	C₂²×D₁₁	—	4	1	no	—
637	C₂²×D₁₁	—	4	16	no	—
638	C₂²×D₁₁	#131	1	4	yes	complemented
639	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
640	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
641	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
642	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
643	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
644	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
645	D₄×C₁₁	—	2	2	no	—
646	D₄×C₁₁	—	2	2	no	—
647	D₄×C₁₁	—	4	1	no	—
648	D₄×C₁₁	—	4	1	no	—
649	C₂×C₄×C₁₁	—	2	2	no	—
650	C₂×C₄×C₁₁	—	2	2	no	—
651	C₂×C₄×C₁₁	—	2	2	no	—
652	C₂×C₄×C₁₁	—	2	2	no	—
653	C₂×C₄×C₁₁	—	2	2	no	—
654	C₂×C₄×C₁₁	—	2	2	no	—
655	C₂×C₄×C₁₁	—	4	1	no	—
656	C₂×C₄×C₁₁	—	4	1	no	—
657	C₂×C₄×C₁₁	—	4	1	no	—
658	C₂×C₄×C₁₁	—	4	1	no	—
659	C₂×C₄×C₁₁	—	4	1	no	—
660	C₂×C₄×C₁₁	—	4	1	no	—
661	C₂×C₄×C₁₁	—	4	1	no	—
662	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
663	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
664	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
665	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
666	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
667	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
668	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
669	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
670	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
671	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
672	C₂²⋊D₁₁	—	2	2	no	—
673	C₂²⋊D₁₁	—	2	2	no	—
674	C₂²⋊D₁₁	—	2	2	no	—
675	C₂²⋊D₁₁	—	2	2	no	—
676	C₂²⋊D₁₁	—	2	2	no	—
677	C₂²⋊D₁₁	—	2	2	no	—
678	C₂²⋊D₁₁	—	2	2	no	—
679	C₂²⋊D₁₁	—	2	2	no	—
680	C₂²⋊D₁₁	—	2	2	no	—
681	C₂²⋊D₁₁	—	2	2	no	—
682	C₂²⋊D₁₁	—	4	1	no	—
683	C₂²⋊D₁₁	—	4	1	no	—
684	C₂²⋊D₁₁	—	4	1	no	—
685	C₂²⋊D₁₁	—	4	1	no	—
686	C₂²⋊D₁₁	—	4	1	no	—
687	C₂²⋊D₁₁	—	4	1	no	—
688	C₂×Dic₁₁	—	2	2	no	—
689	C₂×Dic₁₁	—	2	2	no	—
690	C₂×Dic₁₁	—	2	2	no	—
691	C₂×Dic₁₁	—	2	2	no	—
692	C₂×Dic₁₁	—	4	1	no	—
693	C₂×Dic₁₁	—	4	1	no	—
694	C₂×Dic₁₁	—	4	1	no	—
695	C₂×Dic₁₁	—	4	1	no	—
696	C₂×Dic₁₁	—	4	1	no	—
697	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
698	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
699	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
700	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
701	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
702	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
703	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
704	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
705	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
706	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
707	D₄₄	—	2	2	no	—
708	D₄₄	—	2	2	no	—
709	D₄₄	—	2	2	no	—
710	D₄₄	—	2	2	no	—
711	D₄₄	—	2	2	no	—
712	D₄₄	—	2	2	no	—
713	D₄₄	—	4	1	no	—
714	D₄₄	—	4	1	no	—
715	C₄×D₁₁	—	2	2	no	—
716	C₄×D₁₁	—	2	2	no	—
717	C₄×D₁₁	—	2	2	no	—
718	C₄×D₁₁	—	2	2	no	—
719	C₄×D₁₁	—	2	2	no	—
720	C₄×D₁₁	—	2	2	no	—
721	C₄×D₁₁	—	2	2	no	—
722	C₄×D₁₁	—	2	2	no	—
723	C₄×D₁₁	—	2	2	no	—
724	C₄×D₁₁	—	2	2	no	—
725	C₄×D₁₁	—	2	2	no	—
726	C₄×D₁₁	—	4	1	no	—
727	C₄×D₁₁	—	4	1	no	—
728	C₄×D₁₁	—	4	1	no	—
729	C₄×D₁₁	—	4	1	no	—
730	C₄×D₁₁	—	4	1	no	—
731	C₄×D₁₁	—	4	1	no	—
732	C₄×D₁₁	—	4	1	no	—
733	C₄×D₁₁	—	4	1	no	—
734	C₄×D₁₁	H(5,𝔽₂)	1	4	yes	—
735	Dic₂₂	—	2	2	no	—
736	Dic₂₂	—	2	2	no	—
737	Dic₂₂	—	4	1	no	—
738	Dic₂₂	—	4	1	no	—
739	C₈×C₁₁	—	2	2	no	—
740	C₈×C₁₁	—	2	2	no	—
741	C₈×C₁₁	—	2	2	no	—
742	C₈×C₁₁	—	2	2	no	—
743	C₁₁⋊C₈	—	2	2	no	—
744	C₁₁⋊C₈	—	2	2	no	—
745	C₁₁⋊C₈	—	2	2	no	—
746	C₁₁⋊C₈	—	2	2	no	—
747	C₂²×#41	—	11	1	no	—
748	C₂⁴×C₄	—	11	1	no	—
749	C₂×#131	—	11	2	no	—
750	C₂×#131	—	11	2	no	—
751	C₂²×M₁₆	—	11	2	no	—
752	C₂³×C₈	—	11	2	no	—
753	#525	—	11	1	no	—
754	#525	—	11	1	no	—
755	#525	—	11	1	no	—
756	#525	—	11	1	no	—
757	#525	—	11	1	no	—
758	#525	—	11	1	no	—
759	#525	—	11	1	no	—
760	#525	—	11	1	no	—
761	#525	—	11	1	no	—
762	#525	—	11	1	no	—
763	#525	—	11	1	no	—
764	#525	—	11	1	no	—
765	#525	—	11	1	no	—
766	#525	—	11	1	no	—
767	#525	—	11	1	no	—
768	#525	—	11	1	no	—
769	C₂×#123	—	11	1	no	—
770	C₂×#123	—	11	1	no	—
771	C₂×C₂²⋊Q₈	—	11	1	no	—
772	C₂×C₂²⋊Q₈	—	11	1	no	—
773	C₂×#121	—	11	1	no	—
774	C₂×#121	—	11	1	no	—
775	C₂×#120	—	11	1	no	—
776	C₂×#120	—	11	1	no	—
777	C₂×C₄×D₄	—	11	1	no	—
778	C₂×C₄×D₄	—	11	1	no	—
779	C₂×C₄×D₄	—	11	1	no	—
780	C₂×C₄×D₄	C₂×D₁₁	1	1	yes	characteristic
781	C₂×#117	—	11	1	no	—
782	#436	—	11	2	no	—
783	#436	—	11	2	no	—
784	#436	—	11	2	no	—
785	#436	C₂×D₁₁	1	2	yes	complemented
786	#435	—	11	2	no	—
787	#435	—	11	2	no	—
788	#435	—	11	2	no	—
789	#435	—	11	2	no	—
790	#435	—	11	2	no	—
791	#435	—	11	2	no	—
792	#435	—	11	2	no	—
793	#435	—	11	2	no	—
794	#435	—	11	2	no	—
795	#435	—	11	2	no	—
796	#435	—	11	2	no	—
797	#435	—	11	2	no	—
798	#435	—	11	2	no	—
799	#435	—	11	2	no	—
800	#435	C₂×D₁₁	1	2	yes	complemented
801	#435	C₂×D₁₁	1	2	yes	complemented
802	C₈×D₄	—	11	2	no	—
803	C₈×D₄	—	11	2	no	—
804	C₈×D₄	—	11	2	no	—
805	C₈×D₄	—	11	2	no	—
806	C₈×D₄	—	11	2	no	—
807	C₈×D₄	—	11	2	no	—
808	C₈×D₄	—	11	2	no	—
809	C₈×D₄	—	11	2	no	—
810	C₈×D₄	—	11	2	no	—
811	C₈×D₄	—	11	2	no	—
812	C₈×D₄	—	11	2	no	—
813	C₈×D₄	C₂×D₁₁	1	2	yes	complemented
814	#433	—	11	2	no	—
815	#433	—	11	2	no	—
816	#433	—	11	2	no	—
817	#433	—	11	2	no	—
818	#432	—	11	1	no	—
819	#432	—	11	1	no	—
820	#432	—	11	1	no	—
821	#432	C₂×D₁₁	1	1	yes	characteristic, complemented
822	#431	—	11	1	no	—
823	#431	—	11	1	no	—
824	#431	—	11	1	no	—
825	#431	C₂×D₁₁	1	1	yes	characteristic, complemented
826	#424	—	11	2	no	—
827	#424	—	11	2	no	—
828	#408	—	11	2	no	—
829	#408	—	11	2	no	—
830	#408	—	11	2	no	—
831	#408	—	11	2	no	—
832	#408	—	11	2	no	—
833	#408	—	11	2	no	—
834	#407	—	11	1	no	—
835	#407	—	11	1	no	—
836	#407	—	11	2	no	—
837	#407	—	11	1	no	—
838	#407	—	11	1	no	—
839	#407	—	11	2	no	—
840	#407	—	11	1	no	—
841	#407	—	11	1	no	—
842	#407	C₂×D₁₁	1	1	yes	characteristic
843	#407	C₂×D₁₁	1	1	yes	characteristic, complemented
844	C₂×C₂²⋊C₈	—	11	1	no	—
845	C₂×C₂²⋊C₈	—	11	1	no	—
846	C₂×C₂²⋊C₈	—	11	2	no	—
847	C₂×C₂²⋊C₈	—	11	1	no	—
848	C₂×C₂²⋊C₈	—	11	1	no	—
849	C₂×C₂²⋊C₈	—	11	2	no	—
850	C₂×C₂²⋊C₈	—	11	1	no	—
851	C₂×C₂²⋊C₈	—	11	1	no	—
852	C₂×C₂²⋊C₈	—	11	2	no	—
853	C₂×C₂²⋊C₈	—	11	1	no	—
854	C₂×C₂²⋊C₈	—	11	1	no	—
855	C₂×C₂²⋊C₈	—	11	2	no	—
856	C₂×C₂²⋊C₈	—	11	1	no	—
857	C₂×C₂²⋊C₈	—	11	1	no	—
858	C₂×C₂²⋊C₈	C₂×D₁₁	1	1	yes	characteristic
859	C₂×C₂²⋊C₈	C₂×D₁₁	1	1	yes	characteristic, complemented
860	#405	—	11	2	no	—
861	#405	—	11	2	no	—
862	C₂²×C₁₁	—	2	1	no	—
863	C₂²×C₁₁	—	2	1	no	—
864	C₂²×C₁₁	—	2	1	no	—
865	C₂²×C₁₁	—	2	1	no	—
866	C₂²×C₁₁	—	2	1	no	—
867	C₂²×C₁₁	—	2	1	no	—
868	C₂²×C₁₁	—	2	1	no	—
869	C₂²×C₁₁	—	2	1	no	—
870	C₂²×C₁₁	—	2	1	no	—
871	C₂²×C₁₁	—	2	1	no	—
872	C₂²×C₁₁	—	2	1	no	—
873	C₂²×C₁₁	—	2	1	no	—
874	C₂²×C₁₁	—	2	1	no	—
875	C₂²×C₁₁	—	4	4	no	—
876	C₂²×C₁₁	—	8	2	no	—
877	C₂²×C₁₁	C₂×#131	1	2	yes	—
878	C₂²×C₁₁	#568	1	2	yes	—
879	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
880	C₂×D₁₁	—	2	8	no	—
881	C₂×D₁₁	—	2	1	no	—
882	C₂×D₁₁	—	2	1	no	—
883	C₂×D₁₁	—	2	1	no	—
884	C₂×D₁₁	—	2	1	no	—
885	C₂×D₁₁	—	2	1	no	—
886	C₂×D₁₁	—	2	1	no	—
887	C₂×D₁₁	—	2	1	no	—
888	C₂×D₁₁	—	2	1	no	—
889	C₂×D₁₁	—	2	1	no	—
890	C₂×D₁₁	—	2	1	no	—
891	C₂×D₁₁	—	2	1	no	—
892	C₂×D₁₁	—	2	1	no	—
893	C₂×D₁₁	—	2	1	no	—
894	C₂×D₁₁	—	2	1	no	—
895	C₂×D₁₁	—	2	1	no	—
896	C₂×D₁₁	—	4	4	no	—
897	C₂×D₁₁	—	4	4	no	—
898	C₂×D₁₁	—	4	4	no	—
899	C₂×D₁₁	—	4	4	no	—
900	C₂×D₁₁	—	4	4	no	—
901	C₂×D₁₁	—	8	2	no	—
902	C₂×D₁₁	#518	1	2	yes	—
903	C₂×D₁₁	C₂×#131	1	2	yes	—
904	C₂×D₁₁	C₂×#131	1	2	yes	—
905	C₄×C₁₁	—	2	1	no	—
906	C₄×C₁₁	—	2	1	no	—
907	C₄×C₁₁	—	2	1	no	—
908	C₄×C₁₁	—	2	1	no	—
909	C₄×C₁₁	—	2	1	no	—
910	C₄×C₁₁	—	2	1	no	—
911	C₄×C₁₁	—	2	1	no	—
912	C₄×C₁₁	—	2	1	no	—
913	C₄×C₁₁	—	2	1	no	—
914	C₄×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
915	Dic₁₁	—	2	1	no	—
916	Dic₁₁	—	2	1	no	—
917	Dic₁₁	—	2	1	no	—
918	Dic₁₁	—	2	1	no	—
919	Dic₁₁	—	2	1	no	—
920	Dic₁₁	—	2	1	no	—
921	Dic₁₁	—	2	1	no	—
922	Dic₁₁	—	2	1	no	—
923	Dic₁₁	—	2	1	no	—
924	Dic₁₁	#518	1	2	yes	—
925	C₂⁵	—	11	1	no	—
926	C₂×#41	—	11	1	no	—
927	C₂×#41	—	11	1	no	—
928	C₂×#41	—	11	1	no	—
929	C₂×#41	—	11	1	no	—
930	C₂×#41	—	11	1	no	—
931	C₂×#41	—	11	1	no	—
932	C₂×#41	—	11	1	no	—
933	C₂×#41	—	11	1	no	—
934	C₂×#41	—	44	4	no	—
935	C₂²×Q₈	—	11	1	no	—
936	C₂²×D₄	—	11	1	no	—
937	C₂²×D₄	—	11	1	no	—
938	C₂²×D₄	—	11	1	no	—
939	C₂²×D₄	—	11	1	no	—
940	C₂²×D₄	—	11	1	no	—
941	C₂²×D₄	—	11	1	no	—
942	C₂²×D₄	C₄×D₁₁	1	1	yes	characteristic
943	C₂³×C₄	—	11	1	no	—
944	C₂³×C₄	—	11	1	no	—
945	C₂³×C₄	—	11	1	no	—
946	C₂³×C₄	—	11	1	no	—
947	C₂³×C₄	—	11	1	no	—
948	C₂³×C₄	—	11	1	no	—
949	C₂³×C₄	—	11	1	no	—
950	C₂³×C₄	—	11	1	no	—
951	C₂³×C₄	—	11	1	no	—
952	C₂³×C₄	—	11	1	no	—
953	C₂³×C₄	—	11	1	no	—
954	C₂³×C₄	—	11	1	no	—
955	C₂³×C₄	—	11	1	no	—
956	C₂³×C₄	—	11	1	no	—
957	C₂³×C₄	—	44	4	no	—
958	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
959	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
960	#131	—	44	4	no	—
961	#131	—	44	4	no	—
962	C₂×M₁₆	—	11	2	no	—
963	C₂×M₁₆	—	11	2	no	—
964	C₂×M₁₆	—	11	2	no	—
965	C₂×M₁₆	—	11	2	no	—
966	C₂×M₁₆	—	11	2	no	—
967	C₂×M₁₆	—	11	2	no	—
968	C₂×M₁₆	—	44	4	no	—
969	C₂×M₁₆	C₂²×D₁₁	1	2	yes	—
970	C₂×M₁₆	C₂²×D₁₁	1	2	yes	complemented
971	C₂²×C₈	—	11	2	no	—
972	C₂²×C₈	—	11	2	no	—
973	C₂²×C₈	—	11	2	no	—
974	C₂²×C₈	—	11	2	no	—
975	C₂²×C₈	—	11	2	no	—
976	C₂²×C₈	—	11	2	no	—
977	C₂²×C₈	—	11	2	no	—
978	C₂²×C₈	—	11	2	no	—
979	C₂²×C₈	—	11	2	no	—
980	C₂²×C₈	—	11	2	no	—
981	C₂²×C₈	—	44	4	no	—
982	C₂²×C₈	C₂²×D₁₁	1	2	yes	—
983	C₂²×C₈	C₂²×D₁₁	1	2	yes	complemented
984	#123	—	11	1	no	—
985	#123	—	11	1	no	—
986	#123	—	11	1	no	—
987	#123	—	11	1	no	—
988	#123	—	11	1	no	—
989	#123	—	11	1	no	—
990	#123	—	11	1	no	—
991	#123	—	11	1	no	—
992	#123	—	11	1	no	—
993	#123	—	11	1	no	—
994	#123	—	11	1	no	—
995	#123	—	11	1	no	—
996	#123	—	11	1	no	—
997	#123	—	11	1	no	—
998	#123	—	11	1	no	—
999	#123	—	11	1	no	—
1000	C₂²⋊Q₈	—	11	1	no	—
1001	C₂²⋊Q₈	—	11	1	no	—
1002	C₂²⋊Q₈	—	11	1	no	—
1003	C₂²⋊Q₈	—	11	1	no	—
1004	C₂²⋊Q₈	—	11	1	no	—
1005	C₂²⋊Q₈	—	11	1	no	—
1006	C₂²⋊Q₈	—	11	1	no	—
1007	C₂²⋊Q₈	—	11	1	no	—
1008	C₂²⋊Q₈	—	11	1	no	—
1009	C₂²⋊Q₈	—	11	1	no	—
1010	C₂²⋊Q₈	—	11	1	no	—
1011	C₂²⋊Q₈	—	11	1	no	—
1012	C₂²⋊Q₈	—	11	1	no	—
1013	C₂²⋊Q₈	—	11	1	no	—
1014	C₂²⋊Q₈	—	11	1	no	—
1015	C₂²⋊Q₈	—	11	1	no	—
1016	#121	—	11	1	no	—
1017	#121	—	11	1	no	—
1018	#121	—	11	1	no	—
1019	#121	—	11	1	no	—
1020	#121	—	11	1	no	—
1021	#121	—	11	1	no	—
1022	#121	—	11	1	no	—
1023	#121	—	11	1	no	—
1024	#121	—	11	1	no	—
1025	#121	—	11	1	no	—
1026	#121	—	11	1	no	—
1027	#121	—	11	1	no	—
1028	#121	—	11	1	no	—
1029	#121	—	11	1	no	—
1030	#121	—	11	1	no	—
1031	#121	—	11	1	no	—
1032	#120	—	11	1	no	—
1033	#120	—	11	1	no	—
1034	#120	—	11	1	no	—
1035	#120	—	11	1	no	—
1036	#120	—	11	1	no	—
1037	#120	—	11	1	no	—
1038	#120	—	11	1	no	—
1039	#120	—	11	1	no	—
1040	#120	—	11	1	no	—
1041	#120	—	11	1	no	—
1042	#120	—	11	1	no	—
1043	#120	—	11	1	no	—
1044	#120	—	11	1	no	—
1045	#120	—	11	1	no	—
1046	#120	—	11	1	no	—
1047	#120	—	11	1	no	—
1048	C₄×D₄	—	11	1	no	—
1049	C₄×D₄	—	11	1	no	—
1050	C₄×D₄	—	11	1	no	—
1051	C₄×D₄	—	11	1	no	—
1052	C₄×D₄	—	11	1	no	—
1053	C₄×D₄	—	11	1	no	—
1054	C₄×D₄	—	11	1	no	—
1055	C₄×D₄	—	11	1	no	—
1056	C₄×D₄	—	11	1	no	—
1057	C₄×D₄	—	11	1	no	—
1058	C₄×D₄	—	11	1	no	—
1059	C₄×D₄	—	11	1	no	—
1060	C₄×D₄	—	11	1	no	—
1061	C₄×D₄	—	11	1	no	—
1062	C₄×D₄	—	11	1	no	—
1063	C₄×D₄	—	11	1	no	—
1064	C₄×D₄	—	11	1	no	—
1065	C₄×D₄	—	11	1	no	—
1066	C₄×D₄	—	11	1	no	—
1067	C₄×D₄	—	11	1	no	—
1068	C₄×D₄	—	11	1	no	—
1069	C₄×D₄	—	11	1	no	—
1070	C₄×D₄	—	11	1	no	—
1071	C₄×D₄	—	11	1	no	—
1072	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
1073	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
1074	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
1075	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
1076	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1077	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1078	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1079	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1080	#117	—	11	1	no	—
1081	#117	—	11	1	no	—
1082	#117	—	11	1	no	—
1083	#117	—	11	1	no	—
1084	#117	—	11	1	no	—
1085	#117	—	11	1	no	—
1086	#117	—	11	1	no	—
1087	#117	—	11	1	no	—
1088	C₂×C₄⋊C₄	—	11	1	no	—
1089	C₂×C₄⋊C₄	—	11	1	no	—
1090	C₂×C₄⋊C₄	—	11	1	no	—
1091	C₂×C₄⋊C₄	—	11	1	no	—
1092	C₂×C₄⋊C₄	—	11	1	no	—
1093	C₂×C₄⋊C₄	C₄×D₁₁	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	—	11	1	no	—
1095	C₂×C₂²⋊C₄	—	11	1	no	—
1096	C₂×C₂²⋊C₄	—	11	1	no	—
1097	C₂×C₂²⋊C₄	—	11	1	no	—
1098	C₂×C₂²⋊C₄	—	11	1	no	—
1099	C₂×C₂²⋊C₄	—	11	1	no	—
1100	C₂×C₂²⋊C₄	—	11	1	no	—
1101	C₂×C₂²⋊C₄	—	11	1	no	—
1102	C₂×C₂²⋊C₄	C₄×D₁₁	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₄×D₁₁	1	1	yes	characteristic
1104	C₂×C₄²	—	11	1	no	—
1105	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1106	C₄⋊C₈	—	11	2	no	—
1107	C₄⋊C₈	—	11	2	no	—
1108	C₄⋊C₈	—	11	2	no	—
1109	C₄⋊C₈	—	11	2	no	—
1110	C₄⋊C₈	—	11	2	no	—
1111	C₄⋊C₈	—	11	2	no	—
1112	C₄⋊C₈	C₂²×D₁₁	1	2	yes	complemented
1113	C₄⋊C₈	C₂²×D₁₁	1	2	yes	complemented
1114	C₂²⋊C₈	—	11	1	no	—
1115	C₂²⋊C₈	—	11	1	no	—
1116	C₂²⋊C₈	—	11	2	no	—
1117	C₂²⋊C₈	—	11	1	no	—
1118	C₂²⋊C₈	—	11	1	no	—
1119	C₂²⋊C₈	—	11	2	no	—
1120	C₂²⋊C₈	—	11	2	no	—
1121	C₂²⋊C₈	—	11	2	no	—
1122	C₂²⋊C₈	—	11	2	no	—
1123	C₂²⋊C₈	—	11	2	no	—
1124	C₂²⋊C₈	—	11	2	no	—
1125	C₂²⋊C₈	—	11	2	no	—
1126	C₂²⋊C₈	—	11	2	no	—
1127	C₂²⋊C₈	—	11	2	no	—
1128	C₂²⋊C₈	—	11	2	no	—
1129	C₂²⋊C₈	—	11	2	no	—
1130	C₂²⋊C₈	—	11	2	no	—
1131	C₂²⋊C₈	—	11	2	no	—
1132	C₂²⋊C₈	—	11	2	no	—
1133	C₂²⋊C₈	—	11	2	no	—
1134	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1135	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1136	C₂²⋊C₈	C₂²×D₁₁	1	2	yes	—
1137	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1138	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1139	C₂²⋊C₈	C₂²×D₁₁	1	2	yes	—
1140	C₂²⋊C₈	C₂²×D₁₁	1	2	yes	complemented
1141	C₂²⋊C₈	C₂²×D₁₁	1	2	yes	complemented
1142	#97	—	11	2	no	—
1143	#97	—	11	2	no	—
1144	#97	—	11	2	no	—
1145	#97	C₂²×D₁₁	1	2	yes	complemented
1146	C₄×C₈	—	11	2	no	—
1147	C₄×C₈	—	11	2	no	—
1148	C₄×C₈	—	11	2	no	—
1149	C₄×C₈	C₂²×D₁₁	1	2	yes	complemented
1150	C₂×C₁₁	—	2	2	no	—
1151	C₂×C₁₁	—	2	2	no	—
1152	C₂×C₁₁	—	4	1	no	—
1153	C₂×C₁₁	—	4	1	no	—
1154	C₂×C₁₁	—	4	1	no	—
1155	C₂×C₁₁	C₂×#518	1	1	yes	characteristic
1156	C₂×C₁₁	C₂²×#131	1	1	yes	characteristic
1157	C₂×C₁₁	C₂×#568	1	1	yes	characteristic
1158	D₁₁	—	2	2	no	—
1159	D₁₁	—	2	2	no	—
1160	D₁₁	—	2	2	no	—
1161	D₁₁	—	4	1	no	—
1162	D₁₁	—	4	1	no	—
1163	D₁₁	—	4	1	no	—
1164	C₂⁴	—	11	1	no	—
1165	C₂⁴	—	11	1	no	—
1166	C₂⁴	—	11	1	no	—
1167	C₂⁴	—	11	1	no	—
1168	C₂⁴	—	11	1	no	—
1169	C₂⁴	—	11	1	no	—
1170	C₂⁴	—	11	1	no	—
1171	C₂⁴	—	22	4	no	—
1172	C₂⁴	—	44	2	no	—
1173	C₂⁴	—	44	2	no	—
1174	C₂⁴	C₂×C₄×D₁₁	1	1	yes	characteristic
1175	C₂⁴	C₂×C₄×D₁₁	1	1	yes	characteristic
1176	#41	—	22	4	no	—
1177	#41	—	22	4	no	—
1178	#41	—	44	2	no	—
1179	#41	—	44	2	no	—
1180	#41	—	44	2	no	—
1181	#41	—	44	2	no	—
1182	#41	—	44	2	no	—
1183	#41	—	44	2	no	—
1184	C₂×Q₈	—	11	1	no	—
1185	C₂×Q₈	—	11	1	no	—
1186	C₂×Q₈	—	11	1	no	—
1187	C₂×Q₈	—	11	1	no	—
1188	C₂×Q₈	—	44	2	no	—
1189	C₂×D₄	—	4	2	no	—
1190	C₂×D₄	—	11	1	no	—
1191	C₂×D₄	—	11	1	no	—
1192	C₂×D₄	—	11	1	no	—
1193	C₂×D₄	—	11	1	no	—
1194	C₂×D₄	—	11	1	no	—
1195	C₂×D₄	—	11	1	no	—
1196	C₂×D₄	—	11	1	no	—
1197	C₂×D₄	—	11	1	no	—
1198	C₂×D₄	—	11	1	no	—
1199	C₂×D₄	—	11	1	no	—
1200	C₂×D₄	—	11	1	no	—
1201	C₂×D₄	—	11	1	no	—
1202	C₂×D₄	—	11	1	no	—
1203	C₂×D₄	—	11	1	no	—
1204	C₂×D₄	—	11	1	no	—
1205	C₂×D₄	—	11	1	no	—
1206	C₂×D₄	—	11	1	no	—
1207	C₂×D₄	—	11	1	no	—
1208	C₂×D₄	—	11	1	no	—
1209	C₂×D₄	—	11	1	no	—
1210	C₂×D₄	—	11	1	no	—
1211	C₂×D₄	—	11	1	no	—
1212	C₂×D₄	—	11	1	no	—
1213	C₂×D₄	—	11	1	no	—
1214	C₂×D₄	—	22	4	no	—
1215	C₂×D₄	—	22	4	no	—
1216	C₂×D₄	—	44	2	no	—
1217	C₂×D₄	—	44	2	no	—
1218	C₂×D₄	—	44	2	no	—
1219	C₂×D₄	—	44	2	no	—
1220	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1221	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1222	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1223	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1224	C₂²×C₄	—	4	2	no	—
1225	C₂²×C₄	—	4	2	no	—
1226	C₂²×C₄	—	11	1	no	—
1227	C₂²×C₄	—	11	1	no	—
1228	C₂²×C₄	—	11	1	no	—
1229	C₂²×C₄	—	11	1	no	—
1230	C₂²×C₄	—	11	1	no	—
1231	C₂²×C₄	—	11	1	no	—
1232	C₂²×C₄	—	11	1	no	—
1233	C₂²×C₄	—	11	1	no	—
1234	C₂²×C₄	—	11	1	no	—
1235	C₂²×C₄	—	11	1	no	—
1236	C₂²×C₄	—	11	1	no	—
1237	C₂²×C₄	—	11	1	no	—
1238	C₂²×C₄	—	11	1	no	—
1239	C₂²×C₄	—	11	1	no	—
1240	C₂²×C₄	—	11	1	no	—
1241	C₂²×C₄	—	11	1	no	—
1242	C₂²×C₄	—	11	1	no	—
1243	C₂²×C₄	—	11	1	no	—
1244	C₂²×C₄	—	11	1	no	—
1245	C₂²×C₄	—	11	1	no	—
1246	C₂²×C₄	—	11	1	no	—
1247	C₂²×C₄	—	11	1	no	—
1248	C₂²×C₄	—	11	1	no	—
1249	C₂²×C₄	—	11	1	no	—
1250	C₂²×C₄	—	11	1	no	—
1251	C₂²×C₄	—	11	1	no	—
1252	C₂²×C₄	—	11	1	no	—
1253	C₂²×C₄	—	11	1	no	—
1254	C₂²×C₄	—	11	1	no	—
1255	C₂²×C₄	—	22	4	no	—
1256	C₂²×C₄	—	22	4	no	—
1257	C₂²×C₄	—	22	4	no	—
1258	C₂²×C₄	—	44	2	no	—
1259	C₂²×C₄	—	44	2	no	—
1260	C₂²×C₄	—	44	2	no	—
1261	C₂²×C₄	—	44	2	no	—
1262	C₂²×C₄	—	44	2	no	—
1263	C₂²×C₄	—	44	2	no	—
1264	C₂²×C₄	—	44	2	no	—
1265	C₂²×C₄	—	44	2	no	—
1266	C₂²×C₄	—	44	2	no	—
1267	C₂²×C₄	—	44	2	no	—
1268	C₂²×C₄	—	44	2	no	—
1269	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1270	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1271	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1272	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1273	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1274	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1275	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1276	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1277	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1278	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1279	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1280	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1281	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1282	M₁₆	—	4	2	no	—
1283	M₁₆	—	4	2	no	—
1284	M₁₆	—	22	4	no	—
1285	M₁₆	—	22	4	no	—
1286	M₁₆	—	44	2	no	—
1287	M₁₆	—	44	2	no	—
1288	M₁₆	—	44	2	no	—
1289	M₁₆	—	44	2	no	—
1290	C₂×C₈	—	4	2	no	—
1291	C₂×C₈	—	4	2	no	—
1292	C₂×C₈	—	11	2	no	—
1293	C₂×C₈	—	11	2	no	—
1294	C₂×C₈	—	11	2	no	—
1295	C₂×C₈	—	11	2	no	—
1296	C₂×C₈	—	22	4	no	—
1297	C₂×C₈	—	22	4	no	—
1298	C₂×C₈	—	44	2	no	—
1299	C₂×C₈	—	44	2	no	—
1300	C₂×C₈	—	44	2	no	—
1301	C₂×C₈	—	44	2	no	—
1302	C₂×C₈	—	44	2	no	—
1303	C₂×C₈	—	44	2	no	—
1304	C₂×C₈	—	44	2	no	—
1305	C₂×C₈	—	44	2	no	—
1306	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1307	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1308	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1309	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1310	C₄⋊C₄	—	11	1	no	—
1311	C₄⋊C₄	—	11	1	no	—
1312	C₄⋊C₄	—	11	1	no	—
1313	C₄⋊C₄	—	11	1	no	—
1314	C₄⋊C₄	—	11	1	no	—
1315	C₄⋊C₄	—	11	1	no	—
1316	C₄⋊C₄	—	11	1	no	—
1317	C₄⋊C₄	—	11	1	no	—
1318	C₄⋊C₄	—	11	1	no	—
1319	C₄⋊C₄	—	11	1	no	—
1320	C₄⋊C₄	—	11	1	no	—
1321	C₄⋊C₄	—	11	1	no	—
1322	C₄⋊C₄	—	11	1	no	—
1323	C₄⋊C₄	—	11	1	no	—
1324	C₄⋊C₄	—	11	1	no	—
1325	C₄⋊C₄	—	11	1	no	—
1326	C₄⋊C₄	—	11	1	no	—
1327	C₄⋊C₄	—	11	1	no	—
1328	C₄⋊C₄	—	11	1	no	—
1329	C₄⋊C₄	—	11	1	no	—
1330	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1331	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1332	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1333	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1334	C₂²⋊C₄	—	11	1	no	—
1335	C₂²⋊C₄	—	11	1	no	—
1336	C₂²⋊C₄	—	11	1	no	—
1337	C₂²⋊C₄	—	11	1	no	—
1338	C₂²⋊C₄	—	11	1	no	—
1339	C₂²⋊C₄	—	11	1	no	—
1340	C₂²⋊C₄	—	11	1	no	—
1341	C₂²⋊C₄	—	11	1	no	—
1342	C₂²⋊C₄	—	11	1	no	—
1343	C₂²⋊C₄	—	11	1	no	—
1344	C₂²⋊C₄	—	11	1	no	—
1345	C₂²⋊C₄	—	11	1	no	—
1346	C₂²⋊C₄	—	11	1	no	—
1347	C₂²⋊C₄	—	11	1	no	—
1348	C₂²⋊C₄	—	11	1	no	—
1349	C₂²⋊C₄	—	11	1	no	—
1350	C₂²⋊C₄	—	11	1	no	—
1351	C₂²⋊C₄	—	11	1	no	—
1352	C₂²⋊C₄	—	11	1	no	—
1353	C₂²⋊C₄	—	11	1	no	—
1354	C₂²⋊C₄	—	11	1	no	—
1355	C₂²⋊C₄	—	11	1	no	—
1356	C₂²⋊C₄	—	11	1	no	—
1357	C₂²⋊C₄	—	11	1	no	—
1358	C₂²⋊C₄	—	11	1	no	—
1359	C₂²⋊C₄	—	11	1	no	—
1360	C₂²⋊C₄	—	11	1	no	—
1361	C₂²⋊C₄	—	11	1	no	—
1362	C₂²⋊C₄	—	11	1	no	—
1363	C₂²⋊C₄	—	11	1	no	—
1364	C₂²⋊C₄	—	11	1	no	—
1365	C₂²⋊C₄	—	11	1	no	—
1366	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1367	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1368	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1369	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1370	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1371	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1372	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1373	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1374	C₄²	—	11	1	no	—
1375	C₄²	—	11	1	no	—
1376	C₄²	—	11	1	no	—
1377	C₄²	—	11	1	no	—
1378	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1379	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1380	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1381	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1382	C₁₁	#60233	1	1	yes	characteristic, complemented, Sylow
1383	C₂³	—	2	2	no	—
1384	C₂³	—	2	2	no	—
1385	C₂³	—	2	2	no	—
1386	C₂³	—	4	1	no	—
1387	C₂³	—	4	1	no	—
1388	C₂³	—	4	1	no	—
1389	C₂³	—	11	1	no	—
1390	C₂³	—	11	1	no	—
1391	C₂³	—	11	1	no	—
1392	C₂³	—	11	4	no	—
1393	C₂³	—	11	1	no	—
1394	C₂³	—	11	1	no	—
1395	C₂³	—	11	1	no	—
1396	C₂³	—	22	2	no	—
1397	C₂³	—	22	2	no	—
1398	C₂³	—	22	2	no	—
1399	C₂³	—	22	2	no	—
1400	C₂³	—	22	2	no	—
1401	C₂³	—	22	2	no	—
1402	C₂³	—	22	2	no	—
1403	C₂³	—	22	2	no	—
1404	C₂³	—	22	2	no	—
1405	C₂³	—	22	2	no	—
1406	C₂³	—	22	2	no	—
1407	C₂³	—	44	1	no	—
1408	C₂³	—	44	1	no	—
1409	C₂³	—	44	1	no	—
1410	C₂³	—	44	1	no	—
1411	C₂³	—	44	1	no	—
1412	C₂³	—	44	1	no	—
1413	C₂³	—	44	1	no	—
1414	C₂³	—	44	1	no	—
1415	C₂³	—	44	1	no	—
1416	C₂³	—	44	16	no	—
1417	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1418	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1419	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1420	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1421	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1422	Q₈	—	22	2	no	—
1423	Q₈	—	22	2	no	—
1424	Q₈	—	44	1	no	—
1425	Q₈	—	44	1	no	—
1426	D₄	—	2	2	no	—
1427	D₄	—	2	2	no	—
1428	D₄	—	4	1	no	—
1429	D₄	—	4	1	no	—
1430	D₄	—	22	2	no	—
1431	D₄	—	22	2	no	—
1432	D₄	—	22	2	no	—
1433	D₄	—	22	2	no	—
1434	D₄	—	22	2	no	—
1435	D₄	—	22	2	no	—
1436	D₄	—	22	2	no	—
1437	D₄	—	22	2	no	—
1438	D₄	—	22	2	no	—
1439	D₄	—	22	2	no	—
1440	D₄	—	22	2	no	—
1441	D₄	—	22	2	no	—
1442	D₄	—	22	2	no	—
1443	D₄	—	22	2	no	—
1444	D₄	—	22	2	no	—
1445	D₄	—	22	2	no	—
1446	D₄	—	44	1	no	—
1447	D₄	—	44	1	no	—
1448	D₄	—	44	1	no	—
1449	D₄	—	44	1	no	—
1450	D₄	—	44	1	no	—
1451	D₄	—	44	1	no	—
1452	D₄	—	44	1	no	—
1453	D₄	—	44	1	no	—
1454	C₂×C₄	—	2	2	no	—
1455	C₂×C₄	—	2	2	no	—
1456	C₂×C₄	—	2	2	no	—
1457	C₂×C₄	—	2	2	no	—
1458	C₂×C₄	—	2	2	no	—
1459	C₂×C₄	—	2	2	no	—
1460	C₂×C₄	—	4	1	no	—
1461	C₂×C₄	—	4	1	no	—
1462	C₂×C₄	—	4	1	no	—
1463	C₂×C₄	—	4	1	no	—
1464	C₂×C₄	—	4	1	no	—
1465	C₂×C₄	—	4	1	no	—
1466	C₂×C₄	—	4	1	no	—
1467	C₂×C₄	—	11	1	no	—
1468	C₂×C₄	—	11	4	no	—
1469	C₂×C₄	—	11	1	no	—
1470	C₂×C₄	—	11	1	no	—
1471	C₂×C₄	—	11	1	no	—
1472	C₂×C₄	—	11	1	no	—
1473	C₂×C₄	—	11	1	no	—
1474	C₂×C₄	—	11	1	no	—
1475	C₂×C₄	—	11	1	no	—
1476	C₂×C₄	—	11	1	no	—
1477	C₂×C₄	—	11	1	no	—
1478	C₂×C₄	—	22	2	no	—
1479	C₂×C₄	—	22	2	no	—
1480	C₂×C₄	—	22	2	no	—
1481	C₂×C₄	—	22	2	no	—
1482	C₂×C₄	—	22	2	no	—
1483	C₂×C₄	—	22	2	no	—
1484	C₂×C₄	—	22	2	no	—
1485	C₂×C₄	—	22	2	no	—
1486	C₂×C₄	—	22	2	no	—
1487	C₂×C₄	—	22	2	no	—
1488	C₂×C₄	—	22	2	no	—
1489	C₂×C₄	—	22	2	no	—
1490	C₂×C₄	—	22	2	no	—
1491	C₂×C₄	—	22	2	no	—
1492	C₂×C₄	—	22	2	no	—
1493	C₂×C₄	—	44	1	no	—
1494	C₂×C₄	—	44	1	no	—
1495	C₂×C₄	—	44	1	no	—
1496	C₂×C₄	—	44	1	no	—
1497	C₂×C₄	—	44	1	no	—
1498	C₂×C₄	—	44	1	no	—
1499	C₂×C₄	—	44	1	no	—
1500	C₂×C₄	—	44	1	no	—
1501	C₂×C₄	—	44	1	no	—
1502	C₂×C₄	—	44	1	no	—
1503	C₂×C₄	—	44	1	no	—
1504	C₂×C₄	—	44	1	no	—
1505	C₂×C₄	—	44	1	no	—
1506	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1507	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1508	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1509	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1510	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1511	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1512	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1513	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1514	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1515	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1516	C₈	—	2	2	no	—
1517	C₈	—	2	2	no	—
1518	C₈	—	2	2	no	—
1519	C₈	—	2	2	no	—
1520	C₈	—	22	2	no	—
1521	C₈	—	22	2	no	—
1522	C₈	—	22	2	no	—
1523	C₈	—	22	2	no	—
1524	C₂²	—	2	1	no	—
1525	C₂²	—	2	1	no	—
1526	C₂²	—	2	1	no	—
1527	C₂²	—	2	1	no	—
1528	C₂²	—	2	1	no	—
1529	C₂²	—	2	1	no	—
1530	C₂²	—	2	1	no	—
1531	C₂²	—	2	1	no	—
1532	C₂²	—	2	1	no	—
1533	C₂²	—	2	1	no	—
1534	C₂²	—	2	1	no	—
1535	C₂²	—	2	1	no	—
1536	C₂²	—	2	1	no	—
1537	C₂²	—	4	4	no	—
1538	C₂²	—	8	2	no	—
1539	C₂²	—	11	2	no	—
1540	C₂²	—	11	2	no	—
1541	C₂²	—	11	2	no	—
1542	C₂²	—	22	8	no	—
1543	C₂²	—	22	1	no	—
1544	C₂²	—	22	1	no	—
1545	C₂²	—	22	1	no	—
1546	C₂²	—	22	1	no	—
1547	C₂²	—	22	1	no	—
1548	C₂²	—	22	1	no	—
1549	C₂²	—	22	1	no	—
1550	C₂²	—	22	1	no	—
1551	C₂²	—	22	1	no	—
1552	C₂²	—	22	1	no	—
1553	C₂²	—	22	1	no	—
1554	C₂²	—	22	1	no	—
1555	C₂²	—	22	1	no	—
1556	C₂²	—	22	1	no	—
1557	C₂²	—	22	1	no	—
1558	C₂²	—	44	4	no	—
1559	C₂²	—	44	4	no	—
1560	C₂²	—	44	4	no	—
1561	C₂²	—	44	4	no	—
1562	C₂²	—	44	4	no	—
1563	C₂²	—	88	2	no	—
1564	C₂²	#10623276	1	2	yes	—
1565	C₂²	D₁₁×#131	1	2	yes	—
1566	C₂²	C₂³×C₄×D₁₁	1	1	yes	characteristic
1567	C₄	—	2	1	no	—
1568	C₄	—	2	1	no	—
1569	C₄	—	2	1	no	—
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	1	no	—
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	2	1	no	—
1576	C₄	—	11	2	no	—
1577	C₄	—	22	1	no	—
1578	C₄	—	22	1	no	—
1579	C₄	—	22	1	no	—
1580	C₄	—	22	1	no	—
1581	C₄	—	22	1	no	—
1582	C₄	—	22	1	no	—
1583	C₄	—	22	1	no	—
1584	C₄	—	22	1	no	—
1585	C₄	—	22	1	no	—
1586	C₄	D₁₁×H(5,𝔽₂)	1	2	yes	—
1587	C₂	—	2	2	no	—
1588	C₂	—	2	2	no	—
1589	C₂	—	4	1	no	—
1590	C₂	—	4	1	no	—
1591	C₂	—	4	1	no	—
1592	C₂	—	22	2	no	—
1593	C₂	—	22	2	no	—
1594	C₂	—	22	2	no	—
1595	C₂	—	44	1	no	—
1596	C₂	—	44	1	no	—
1597	C₂	—	44	1	no	—
1598	C₂	D₁₁×#518	1	1	yes	characteristic
1599	C₂	C₂×D₁₁×#131	1	1	yes	characteristic
1600	C₂	C₂×#10623276	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₁
commutator, socle	C₂²×C₁₁	C₂⁴×C₄
Fitting	C₁₁×#2974	C₂
prime radical	C₂×#10623078	C₂
cosocle	C₂×C₄×C₁₁	C₂⁵
hypercenter	#2974	D₁₁
hypocenter	C₁₁	#60233
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₄ ◁ #2974

Complements

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

N	H ≅ G/N	type
2. #13077669	C₂	semidirect
3. #13077667	C₂	semidirect
4. #13077663	C₂	semidirect
5. #13077660	C₂	semidirect
6. #13077652	C₂	semidirect
7. #13077651	C₂	semidirect
8. #13077647	C₂	semidirect
9. #13077644	C₂	semidirect
10. #13077643	C₂	semidirect
11. #13077639	C₂	semidirect
12. #13077638	C₂	semidirect
13. #13077345	C₂	semidirect
14. #13077339	C₂	semidirect
15. #13077307	C₂	semidirect
16. #13077305	C₂	semidirect
17. #13077275	C₂	semidirect
18. #13077269	C₂	semidirect
19. #13077066	C₂	semidirect
20. #13077062	C₂	semidirect
21. D₁₁×#407	C₂	semidirect
22. C₂×D₁₁×C₂²⋊C₈	C₂	semidirect
23. C₁₁×#2974	C₂	semidirect
31. C₂×#66960	C₂²	semidirect
32. C₂×M₁₆×D₁₁	C₂²	semidirect
33. C₂×#66954	C₂²	semidirect
34. C₂²×C₈×D₁₁	C₂²	semidirect
59. C₁₁×#436	C₂²	semidirect
60. C₁₁×#435	C₂²	semidirect
61. C₁₁×#435	C₂²	semidirect
62. C₈×D₄×C₁₁	C₂²	semidirect
63. C₁₁×#432	C₂²	semidirect
64. C₁₁×#431	C₂²	semidirect
66. C₁₁×#407	C₂²	semidirect
68. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
70. #10622820	C₂²	semidirect
72. C₂×C₂²⋊(C₁₁⋊C₈)	C₂²	semidirect
73. #10622742	C₂²	semidirect
74. #10622741	C₂²	semidirect
75. #10622740	C₂²	semidirect
76. #10622740	C₂²	semidirect
77. #10622740	C₂²	semidirect
78. #10622739	C₂²	semidirect
79. #10622724	C₂²	semidirect
80. #10622723	C₂²	semidirect
81. C₈×C₂²⋊D₁₁	C₂²	semidirect
82. C₈×C₂²⋊D₁₁	C₂²	semidirect
83. C₈×C₂²⋊D₁₁	C₂²	semidirect
84. C₂×(C₂×D₁₁)⋊C₈	C₂²	semidirect
85. #10622625	C₂²	semidirect
86. #10622624	C₂²	semidirect
87. #10622624	C₂²	semidirect
88. D₄×C₁₁⋊C₈	C₂²	semidirect
89. #10622539	C₂²	semidirect
90. #10622538	C₂²	semidirect
91. #10622453	C₂²	semidirect
92. #10622453	C₂²	semidirect
93. #10622452	C₂²	semidirect
94. #10622452	C₂²	semidirect
95. #10622449	C₂²	semidirect
96. #10622449	C₂²	semidirect
97. #10622447	C₂²	semidirect
98. #10622447	C₂²	semidirect
99. #10622343	C₂²	semidirect
100. #10622342	C₂²	semidirect
101. #10622341	C₂²	semidirect
102. #10622341	C₂²	semidirect
103. #10622341	C₂²	semidirect
104. #10622340	C₂²	semidirect
105. #10622340	C₂²	semidirect
106. #10622340	C₂²	semidirect
107. #10622340	C₂²	semidirect
110. #10622339	C₂²	semidirect
111. #10622339	C₂²	semidirect
112. #10622339	C₂²	semidirect
113. (C₂²⋊D₁₁)⋊C₈	C₂²	semidirect
114. (C₂²⋊D₁₁)⋊C₈	C₂²	semidirect
115. (C₂²⋊D₁₁)⋊C₈	C₂²	semidirect
122. D₁₁×C₂²⋊C₈	C₂²	semidirect
123. D₁₁×C₂²⋊C₈	C₂²	semidirect
124. D₁₁×C₂²⋊C₈	C₂²	semidirect
125. D₁₁×C₂²⋊C₈	C₂²	semidirect
126. D₁₁×C₂²⋊C₈	C₂²	semidirect
127. #10622332	C₂²	semidirect
128. #10622332	C₂²	semidirect
129. #10622331	C₂²	semidirect
130. #10622331	C₂²	semidirect
131. #10622322	C₂²	semidirect
132. #10622321	C₂²	semidirect
133. #10622319	C₂²	semidirect
134. #10622319	C₂²	semidirect
135. #10622303	C₂²	semidirect
136. #10622302	C₂²	semidirect
137. C₈×D₄₄	C₂²	semidirect
138. C₈×D₄₄	C₂²	semidirect
175. C₂×C₁₁×M₁₆	C₂³	semidirect
177. C₂²×C₈×C₁₁	C₂³	semidirect
237. C₂×#4318	C₂³	semidirect
239. C₂²×C₁₁⋊C₈	C₂³	semidirect
245. C₂×#4313	C₂³	semidirect
246. C₂×#4313	C₂³	semidirect
254. C₂×C₈×D₁₁	C₂³	semidirect
255. C₂×C₈×D₁₁	C₂³	semidirect
320. C₁₁×C₄⋊C₈	C₂³	semidirect
321. C₁₁×C₄⋊C₈	C₂³	semidirect
328. C₁₁×C₂²⋊C₈	C₂³	semidirect
329. C₁₁×C₂²⋊C₈	C₂³	semidirect
330. C₁₁×#97	C₂³	semidirect
331. C₄×C₈×C₁₁	C₂³	semidirect
338. C₂²⋊(C₁₁⋊C₈)	C₂³	semidirect
339. C₂²⋊(C₁₁⋊C₈)	C₂³	semidirect
348. (C₂×D₁₁)⋊C₈	C₂³	semidirect
349. (C₂×D₁₁)⋊C₈	C₂³	semidirect
350. (C₂×D₁₁)⋊C₈	C₂³	semidirect
351. (C₂×D₁₁)⋊C₈	C₂³	semidirect
352. #66879	C₂³	semidirect
353. #66879	C₂³	semidirect
354. Dic₁₁⋊C₈	C₂³	semidirect
355. Dic₁₁⋊C₈	C₂³	semidirect
356. Dic₁₁⋊C₈	C₂³	semidirect
357. Dic₁₁⋊C₈	C₂³	semidirect
358. C₈×Dic₁₁	C₂³	semidirect
359. C₈×Dic₁₁	C₂³	semidirect
360. C₄⋊(C₁₁⋊C₈)	C₂³	semidirect
361. C₄⋊(C₁₁⋊C₈)	C₂³	semidirect
362. #66867	C₂³	semidirect
363. C₄×C₁₁⋊C₈	C₂³	semidirect
591. #2974	D₁₁	semidirect
638. C₂²×D₁₁	#131	semidirect
785. #436	C₂×D₁₁	semidirect
800. #435	C₂×D₁₁	semidirect
801. #435	C₂×D₁₁	semidirect
813. C₈×D₄	C₂×D₁₁	semidirect
821. #432	C₂×D₁₁	semidirect
825. #431	C₂×D₁₁	semidirect
843. #407	C₂×D₁₁	semidirect
859. C₂×C₂²⋊C₈	C₂×D₁₁	semidirect
970. C₂×M₁₆	C₂²×D₁₁	semidirect
983. C₂²×C₈	C₂²×D₁₁	semidirect
1112. C₄⋊C₈	C₂²×D₁₁	semidirect
1113. C₄⋊C₈	C₂²×D₁₁	semidirect
1140. C₂²⋊C₈	C₂²×D₁₁	semidirect
1141. C₂²⋊C₈	C₂²×D₁₁	semidirect
1145. #97	C₂²×D₁₁	semidirect
1149. C₄×C₈	C₂²×D₁₁	semidirect
1382. C₁₁	#60233	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10623078	2
#13077669	2
#13077667	2
#13077663	2
#13077660	2
#13077652	2
#13077651	2
#13077647	2
#13077644	2
#13077643	2
#13077639	2
#13077638	2
#13077345	2
#13077339	2
#13077307	2
#13077305	2
#13077275	2
#13077269	2
#13077066	2
#13077062	2
D₁₁×#407	2
C₂×D₁₁×C₂²⋊C₈	2
C₁₁×#2974	2
#60233	11