Subgroups — #15618349

Order 2816.

1996 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13081909	C₂	1	1	yes	maximal, characteristic
2	#13077615	C₂	1	2	yes	maximal, complemented
3	#13077613	C₂	1	2	yes	maximal, complemented
4	#13077609	C₂	1	2	yes	maximal, complemented
5	#13077607	C₂	1	2	yes	maximal, complemented
6	#13077583	C₂	1	1	yes	maximal, characteristic, complemented
7	#13077580	C₂	1	1	yes	maximal, characteristic, complemented
8	#13077580	C₂	1	1	yes	maximal, characteristic, complemented
9	#13077578	C₂	1	1	yes	maximal, characteristic, complemented
10	#13077578	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈×#4339	C₂	1	1	yes	maximal, characteristic, complemented
12	#13077572	C₂	1	1	yes	maximal, characteristic, complemented
13	#13077561	C₂	1	2	yes	maximal, complemented
14	#13077357	C₂	1	2	yes	maximal, complemented
15	#13077345	C₂	1	2	yes	maximal, complemented
16	#13077339	C₂	1	2	yes	maximal, complemented
17	#13077255	C₂	1	1	yes	maximal, characteristic, complemented
18	#13077255	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₁×#431	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#66960	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#66954	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×M₁₆×D₁₁	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2965	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
25	#10623363	C₄	1	1	yes	characteristic
26	#10623359	C₄	1	1	yes	characteristic
27	C₂×#66960	C₂²	1	2	yes	—
28	C₂×M₁₆×D₁₁	C₂²	1	2	yes	—
29	C₂×#66954	C₂²	1	2	yes	—
30	#10623111	C₄	1	1	yes	characteristic
31	#10623111	C₂²	1	1	yes	characteristic
32	#10623109	C₄	1	1	yes	characteristic
33	#10623109	C₂²	1	1	yes	characteristic
34	#10623088	C₄	1	1	yes	characteristic
35	#10623088	C₂²	1	1	yes	characteristic
36	#10623079	C₄	1	1	yes	characteristic
37	#10623079	C₂²	1	1	yes	characteristic
38	#10623078	C₄	1	1	yes	characteristic
39	#10623078	C₄	1	1	yes	characteristic
40	#10623078	C₂²	1	1	yes	characteristic
41	#10623078	C₂²	1	1	yes	characteristic
42	#10623069	C₄	1	1	yes	characteristic
43	#10623069	C₄	1	1	yes	characteristic
44	#10623069	C₂²	1	1	yes	characteristic
45	#10623069	C₂²	1	1	yes	characteristic
46	#10623059	C₄	1	1	yes	characteristic
47	#10623059	C₄	1	1	yes	characteristic
48	#10623059	C₄	1	1	yes	characteristic
49	#10623059	C₄	1	1	yes	characteristic
50	#10623055	C₄	1	1	yes	characteristic
51	#10623048	C₄	1	1	yes	characteristic
52	C₄×#4339	C₂²	1	1	yes	characteristic
53	C₄×#4339	C₂²	1	1	yes	characteristic
54	C₄×#4339	C₂²	1	1	yes	characteristic
55	C₄×#4339	C₂²	1	1	yes	characteristic
56	C₄×#4339	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₁₁	C₂²	1	1	yes	characteristic
58	C₁₁×#446	C₂²	1	2	yes	complemented
59	C₁₁×#436	C₂²	1	2	yes	—
60	C₁₁×#435	C₂²	1	2	yes	—
61	C₁₁×#435	C₂²	1	2	yes	complemented
62	C₁₁×#431	C₂²	1	1	yes	characteristic
63	C₁₁×#431	C₂²	1	1	yes	characteristic, complemented
64	C₁₁×#431	C₂²	1	1	yes	characteristic, complemented
65	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
66	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
68	#10622741	C₂²	1	2	yes	—
69	#10622741	C₂²	1	2	yes	complemented
70	#10622740	C₂²	1	2	yes	—
71	#10622740	C₂²	1	2	yes	—
72	#10622735	C₂²	1	2	yes	complemented
73	M₁₆×Dic₁₁	C₂²	1	2	yes	—
74	C₈×C₂²⋊D₁₁	C₂²	1	2	yes	—
75	C₈×C₂²⋊D₁₁	C₂²	1	2	yes	complemented
76	#10622714	C₂²	1	2	yes	complemented
77	#10622637	C₂²	1	2	yes	complemented
78	#10622625	C₂²	1	2	yes	—
79	#10622624	C₂²	1	2	yes	—
80	#10622624	C₂²	1	2	yes	complemented
81	#10622538	C₂²	1	1	yes	characteristic
82	#10622538	C₂²	1	1	yes	characteristic, complemented
83	#10622538	C₂²	1	1	yes	characteristic, complemented
84	C₄×#4318	C₂²	1	1	yes	characteristic
85	C₄×#4318	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₄×C₁₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
87	#10622453	C₂²	1	2	yes	complemented
88	#10622453	C₂²	1	2	yes	complemented
89	#10622452	C₂²	1	2	yes	—
90	#10622452	C₂²	1	2	yes	—
91	#10622449	C₂²	1	2	yes	—
92	#10622449	C₂²	1	2	yes	complemented
93	#10622447	C₂²	1	2	yes	—
94	#10622446	C₂²	1	2	yes	—
95	D₁₁×C₄⋊C₈	C₂²	1	2	yes	—
96	#10622443	C₂²	1	2	yes	complemented
97	#10622441	C₂²	1	2	yes	complemented
98	#10622441	C₂²	1	2	yes	complemented
99	#10622342	C₂²	1	2	yes	—
100	#10622342	C₂²	1	2	yes	complemented
101	#10622341	C₂²	1	2	yes	—
102	#10622341	C₂²	1	2	yes	—
103	#10622340	C₂²	1	2	yes	—
104	#10622340	C₂²	1	2	yes	—
105	(C₂²⋊D₁₁)⋊C₈	C₂²	1	2	yes	—
106	(C₂²⋊D₁₁)⋊C₈	C₂²	1	2	yes	complemented
107	D₁₁×C₂²⋊C₈	C₂²	1	2	yes	—
108	#10622333	C₂²	1	2	yes	complemented
109	#10622333	C₂²	1	2	yes	complemented
110	#10622331	C₂²	1	2	yes	—
111	#10622321	C₂²	1	2	yes	—
112	#10622321	C₂²	1	2	yes	complemented
113	#10622320	C₂²	1	2	yes	—
114	#10622319	C₂²	1	2	yes	—
115	#10622319	C₂²	1	2	yes	complemented
116	D₁₁×#97	C₂²	1	2	yes	—
117	#10622314	C₂²	1	2	yes	complemented
118	#10622314	C₂²	1	2	yes	complemented
119	#10622302	C₂²	1	2	yes	—
120	#10622302	C₂²	1	2	yes	complemented
121	C₄×#4313	C₂²	1	1	yes	characteristic
122	C₄×#4313	C₂²	1	1	yes	characteristic
123	C₄×#4313	C₂²	1	1	yes	characteristic, complemented
124	C₄×#4313	C₂²	1	1	yes	characteristic, complemented
125	C₈×D₄₄	C₂²	1	2	yes	—
126	#10622298	C₂²	1	1	yes	characteristic
127	#10622298	C₂²	1	1	yes	characteristic
128	#10622298	C₂²	1	1	yes	characteristic, complemented
129	#10622298	C₂²	1	1	yes	characteristic, complemented
130	#10622298	C₂²	1	1	yes	characteristic, complemented
131	#10622298	C₂²	1	1	yes	characteristic, complemented
132	C₄×C₈×D₁₁	C₂²	1	1	yes	characteristic
133	C₄×C₈×D₁₁	C₂²	1	1	yes	characteristic
134	C₄×C₈×D₁₁	C₂²	1	1	yes	characteristic
135	C₄×C₈×D₁₁	C₂²	1	1	yes	characteristic
136	C₄×C₈×D₁₁	C₂²	1	1	yes	characteristic, complemented
137	C₄×C₈×D₁₁	C₂²	1	1	yes	characteristic, complemented
138	C₈×Dic₂₂	C₂²	1	2	yes	complemented
139	C₂×C₁₁×#41	C₂×C₄	1	1	yes	characteristic
140	C₂×#4339	C₂×C₄	1	1	yes	characteristic
141	C₂×#4339	C₂×C₄	1	1	yes	characteristic
142	C₂×#4339	C₂×C₄	1	1	yes	characteristic
143	C₂×#4339	C₂³	1	1	yes	characteristic
144	C₂×#4339	C₂³	1	1	yes	characteristic
145	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
146	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
147	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
148	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
149	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
150	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
151	C₄×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
152	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
153	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
154	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
155	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
156	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
157	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
158	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
159	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
160	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
161	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
162	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
163	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
164	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
165	#67000	C₂×C₄	1	1	yes	characteristic
166	#66999	C₂×C₄	1	1	yes	characteristic
167	#66999	C₂×C₄	1	1	yes	characteristic
168	#66997	C₂×C₄	1	1	yes	characteristic
169	#66993	C₂×C₄	1	1	yes	characteristic
170	#66992	C₂×C₄	1	1	yes	characteristic
171	#66992	C₂×C₄	1	1	yes	characteristic
172	#66992	C₂×C₄	1	1	yes	characteristic
173	#66992	C₂×C₄	1	1	yes	characteristic
174	#66991	C₂×C₄	1	1	yes	characteristic
175	#66991	C₂×C₄	1	1	yes	characteristic
176	#66990	C₂×C₄	1	1	yes	characteristic
177	#66990	C₂×C₄	1	1	yes	characteristic
178	#66989	C₂×C₄	1	1	yes	characteristic
179	#66988	C₂×C₄	1	1	yes	characteristic
180	#66988	C₂×C₄	1	1	yes	characteristic
181	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
182	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
183	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
184	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
185	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
186	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
187	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
188	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
189	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
190	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
191	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
192	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
193	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
194	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
195	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
196	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
197	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
198	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
199	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
200	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
201	#66979	C₂×C₄	1	1	yes	characteristic
202	#66979	C₂×C₄	1	1	yes	characteristic
203	#66979	C₂×C₄	1	1	yes	characteristic
204	#66979	C₂³	1	1	yes	characteristic
205	#66979	C₂³	1	1	yes	characteristic
206	C₂×C₄×Dic₁₁	C₂×C₄	1	1	yes	characteristic
207	C₂×C₄×Dic₁₁	C₂×C₄	1	1	yes	characteristic
208	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
209	C₂×#4318	C₂³	1	2	yes	—
210	C₂×#4318	C₂³	1	2	yes	—
211	C₂²×C₁₁⋊C₈	C₂³	1	2	yes	—
212	#66960	—	2	8	no	—
213	M₁₆×D₁₁	—	2	8	no	—
214	#66954	—	2	8	no	—
215	C₂×#4313	C₂³	1	2	yes	—
216	C₂×#4313	C₂³	1	2	yes	—
217	C₂×#4313	C₂³	1	2	yes	—
218	C₂×#4313	C₂³	1	2	yes	—
219	C₂×C₈×D₁₁	C₂³	1	2	yes	—
220	C₂×C₈×D₁₁	C₂³	1	2	yes	—
221	C₂×C₈×D₁₁	C₂³	1	2	yes	—
222	C₂×C₈×D₁₁	C₂³	1	2	yes	—
223	C₂×C₈×D₁₁	C₂³	1	2	yes	—
224	C₂×C₈×D₁₁	C₂³	1	2	yes	—
225	#66951	C₂×C₄	1	1	yes	characteristic
226	#66951	C₂×C₄	1	1	yes	characteristic
227	#66951	C₂×C₄	1	1	yes	characteristic
228	#66951	C₂×C₄	1	1	yes	characteristic
229	#66950	C₂×C₄	1	1	yes	characteristic
230	#66950	C₂×C₄	1	1	yes	characteristic
231	#66949	C₂×C₄	1	1	yes	characteristic
232	#66949	C₂×C₄	1	1	yes	characteristic
233	#66949	C₂×C₄	1	1	yes	characteristic
234	#66949	C₂×C₄	1	1	yes	characteristic
235	#66948	C₂×C₄	1	1	yes	characteristic
236	#66948	C₂×C₄	1	1	yes	characteristic
237	#66947	C₂×C₄	1	1	yes	characteristic
238	#66947	C₂×C₄	1	1	yes	characteristic
239	#66947	C₂×C₄	1	1	yes	characteristic
240	#66947	C₂×C₄	1	1	yes	characteristic
241	#66943	C₂×C₄	1	1	yes	characteristic
242	#66943	C₂×C₄	1	1	yes	characteristic
243	#66942	C₂×C₄	1	1	yes	characteristic
244	#66942	C₂×C₄	1	1	yes	characteristic
245	#66942	C₂×C₄	1	1	yes	characteristic
246	#66942	C₂×C₄	1	1	yes	characteristic
247	#66941	C₂×C₄	1	1	yes	characteristic
248	#66941	C₂×C₄	1	1	yes	characteristic
249	#66939	C₂×C₄	1	1	yes	characteristic
250	#66939	C₂×C₄	1	1	yes	characteristic
251	#66938	C₂×C₄	1	1	yes	characteristic
252	#66938	C₂×C₄	1	1	yes	characteristic
253	#66938	C₂×C₄	1	1	yes	characteristic
254	#66938	C₂×C₄	1	1	yes	characteristic
255	#66937	C₂×C₄	1	1	yes	characteristic
256	#66937	C₂×C₄	1	1	yes	characteristic
257	#66937	C₂×C₄	1	1	yes	characteristic
258	#66937	C₂×C₄	1	1	yes	characteristic
259	#66936	C₂×C₄	1	1	yes	characteristic
260	#66936	C₂×C₄	1	1	yes	characteristic
261	#66936	C₂×C₄	1	1	yes	characteristic
262	#66936	C₂×C₄	1	1	yes	characteristic
263	#66935	C₂×C₄	1	1	yes	characteristic
264	#66935	C₂×C₄	1	1	yes	characteristic
265	#66932	C₂×C₄	1	1	yes	characteristic
266	#66932	C₂×C₄	1	1	yes	characteristic
267	#66932	C₂×C₄	1	1	yes	characteristic
268	#66932	C₂×C₄	1	1	yes	characteristic
269	#66931	C₂×C₄	1	1	yes	characteristic
270	#66931	C₂×C₄	1	1	yes	characteristic
271	#66931	C₂×C₄	1	1	yes	characteristic
272	#66931	C₂×C₄	1	1	yes	characteristic
273	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
274	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
275	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
276	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
277	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
278	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
279	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
280	C₄×D₄₄	C₂³	1	1	yes	characteristic
281	C₄×D₄₄	C₂³	1	1	yes	characteristic
282	C₄×D₄₄	C₂³	1	1	yes	characteristic
283	#66925	C₂×C₄	1	1	yes	characteristic
284	#66925	C₂×C₄	1	1	yes	characteristic
285	#66925	C₂×C₄	1	1	yes	characteristic
286	#66925	C₂×C₄	1	1	yes	characteristic
287	#66925	C₂×C₄	1	1	yes	characteristic
288	#66925	C₂×C₄	1	1	yes	characteristic
289	#66925	C₂³	1	1	yes	characteristic
290	#66925	C₂³	1	1	yes	characteristic
291	#66925	C₂³	1	1	yes	characteristic
292	#66925	C₂³	1	1	yes	characteristic
293	C₄²×D₁₁	C₂×C₄	1	1	yes	characteristic
294	C₄²×D₁₁	C₂×C₄	1	1	yes	characteristic
295	C₄²×D₁₁	C₂×C₄	1	1	yes	characteristic
296	C₄²×D₁₁	C₂×C₄	1	1	yes	characteristic
297	C₄²×D₁₁	C₂³	1	1	yes	characteristic
298	C₄²×D₁₁	C₂³	1	1	yes	characteristic
299	C₄²×D₁₁	C₂³	1	1	yes	characteristic
300	C₄²×D₁₁	C₂³	1	1	yes	characteristic
301	C₄²×D₁₁	C₂³	1	1	yes	characteristic
302	C₄²×D₁₁	C₂³	1	1	yes	characteristic
303	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
304	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
305	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
306	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
307	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
308	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
309	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
310	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
311	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
312	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
313	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
314	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
317	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
318	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
319	C₁₁×#97	C₂³	1	2	yes	—
320	C₁₁×#97	C₂³	1	2	yes	—
321	C₄×C₈×C₁₁	C₂³	1	2	yes	—
322	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
323	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
324	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
325	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
326	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
327	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
328	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
329	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
330	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
331	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
332	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
333	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
334	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
335	#66879	C₂³	1	2	yes	—
336	#66879	C₂³	1	2	yes	—
337	#66879	C₂³	1	2	yes	—
338	#66879	C₂³	1	2	yes	—
339	Dic₁₁⋊C₈	C₂³	1	2	yes	—
340	Dic₁₁⋊C₈	C₂³	1	2	yes	—
341	Dic₁₁⋊C₈	C₂³	1	2	yes	—
342	Dic₁₁⋊C₈	C₂³	1	2	yes	—
343	Dic₁₁⋊C₈	C₂³	1	2	yes	—
344	Dic₁₁⋊C₈	C₂³	1	2	yes	—
345	C₈×Dic₁₁	C₂³	1	2	yes	—
346	C₈×Dic₁₁	C₂³	1	2	yes	—
347	C₈×Dic₁₁	C₂³	1	2	yes	—
348	C₈×Dic₁₁	C₂³	1	2	yes	—
349	C₈×Dic₁₁	C₂³	1	2	yes	—
350	C₈×Dic₁₁	C₂³	1	2	yes	—
351	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
352	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
353	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
354	#66867	C₂³	1	2	yes	—
355	#66867	C₂³	1	2	yes	—
356	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
357	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
358	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
359	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
360	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
361	#60210	—	11	1	no	maximal, Sylow
362	C₂³×D₁₁	C₂²×C₄	1	1	yes	characteristic
363	C₁₁×#41	—	4	2	no	—
364	C₂×Q₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
365	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
366	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
367	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
368	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
369	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
371	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
372	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
373	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
374	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
377	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
378	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
379	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
380	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
381	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
382	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
383	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
384	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
385	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
386	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
387	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
388	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
389	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
390	#4339	—	2	4	no	—
391	#4339	—	2	4	no	—
392	#4339	—	2	4	no	—
393	#4339	—	2	4	no	—
394	#4339	—	4	2	no	—
395	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
396	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
397	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
398	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
399	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
400	C₂×C₄×D₁₁	—	2	4	no	—
401	C₂×C₄×D₁₁	—	2	4	no	—
402	C₂×C₄×D₁₁	—	4	2	no	—
403	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
404	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
405	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
406	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
408	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
410	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
411	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
412	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
413	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
414	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
415	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
418	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
419	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
420	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
422	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
423	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
424	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
425	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
426	C₁₁×M₁₆	—	2	4	no	—
427	C₁₁×M₁₆	—	2	4	no	—
428	C₂×C₈×C₁₁	—	2	4	no	—
429	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
430	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
431	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
432	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
433	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
434	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
435	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
436	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
437	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
438	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
439	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
440	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
441	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
442	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
443	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
444	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
445	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
446	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
447	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
448	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
449	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
450	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
451	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
452	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
453	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
455	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
456	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
457	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
458	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
459	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
460	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
461	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
462	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
463	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
464	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
465	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
466	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
467	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
468	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
469	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
470	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
471	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
472	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
473	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
474	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
475	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
476	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
477	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
478	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
479	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
480	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
481	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
482	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
483	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
484	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
485	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
486	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
487	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
488	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
489	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
490	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
491	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
492	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
493	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
494	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
495	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
496	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
497	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
498	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
499	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
500	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
501	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
502	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
503	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
504	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
505	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
506	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
507	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
508	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
509	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
510	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
511	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
512	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
513	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
514	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
515	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
516	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
517	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
518	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
519	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
520	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
521	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
522	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
523	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
524	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
525	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
526	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
527	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
528	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
529	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
530	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
531	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
532	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
533	#4318	—	2	4	no	—
534	#4318	—	2	4	no	—
535	C₂×C₁₁⋊C₈	—	2	4	no	—
536	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
537	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
538	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
539	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
540	#4313	—	2	4	no	—
541	#4313	—	2	4	no	—
542	#4313	—	2	4	no	—
543	#4313	#41	1	8	yes	complemented
544	C₈×D₁₁	—	2	4	no	—
545	C₈×D₁₁	—	2	4	no	—
546	C₈×D₁₁	—	2	4	no	—
547	C₈×D₁₁	—	2	4	no	—
548	C₈×D₁₁	—	2	4	no	—
549	C₈×D₁₁	—	2	4	no	—
550	#3444	—	11	1	no	—
551	#2969	—	11	2	no	—
552	#2969	—	11	2	no	—
553	#2968	—	11	2	no	—
554	#2968	—	11	2	no	—
555	#2965	—	11	1	no	—
556	#2965	—	11	1	no	—
557	#2965	—	11	1	no	—
558	#2965	—	11	1	no	—
559	#2965	—	11	1	no	—
560	#2965	D₁₁	1	1	yes	characteristic, complemented
561	C₈×#41	—	11	1	no	—
562	C₈×#41	—	11	1	no	—
563	#2962	—	11	2	no	—
564	#2935	—	11	2	no	—
565	#2933	—	11	2	no	—
566	#2933	—	11	2	no	—
567	#2922	—	11	1	no	—
568	#2922	—	11	1	no	—
569	C₂×#431	—	11	1	no	—
570	C₄×#131	—	11	1	no	—
571	C₄×#131	—	11	1	no	—
572	C₂×C₄×M₁₆	—	11	1	no	—
573	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
574	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
575	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
576	C₂²×D₁₁	—	2	2	no	—
577	C₂²×D₁₁	—	2	2	no	—
578	C₂²×D₁₁	—	4	1	no	—
579	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
580	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
581	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
582	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
583	Q₈×C₁₁	—	4	1	no	—
584	D₄×C₁₁	—	4	1	no	—
585	D₄×C₁₁	—	4	1	no	—
586	D₄×C₁₁	—	4	1	no	—
587	C₂×C₄×C₁₁	—	2	2	no	—
588	C₂×C₄×C₁₁	—	2	2	no	—
589	C₂×C₄×C₁₁	—	2	2	no	—
590	C₂×C₄×C₁₁	—	2	2	no	—
591	C₂×C₄×C₁₁	—	2	2	no	—
592	C₂×C₄×C₁₁	—	2	2	no	—
593	C₂×C₄×C₁₁	—	2	2	no	—
594	C₂×C₄×C₁₁	—	2	2	no	—
595	C₂×C₄×C₁₁	—	2	2	no	—
596	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
597	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
598	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
599	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
600	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
601	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
602	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
603	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
604	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
605	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
606	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
607	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
608	C₂²⋊D₁₁	—	2	2	no	—
609	C₂²⋊D₁₁	—	2	2	no	—
610	C₂²⋊D₁₁	—	2	2	no	—
611	C₂²⋊D₁₁	—	2	2	no	—
612	C₂²⋊D₁₁	—	2	2	no	—
613	C₂²⋊D₁₁	—	2	2	no	—
614	C₂²⋊D₁₁	—	2	2	no	—
615	C₂²⋊D₁₁	—	2	2	no	—
616	C₂²⋊D₁₁	—	4	1	no	—
617	C₂²⋊D₁₁	—	4	1	no	—
618	C₂×Dic₁₁	—	2	2	no	—
619	C₂×Dic₁₁	—	2	2	no	—
620	C₂×Dic₁₁	—	4	1	no	—
621	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
622	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
623	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
624	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
625	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
626	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
627	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
628	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
629	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
630	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
631	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
632	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
633	D₄₄	—	2	2	no	—
634	D₄₄	—	2	2	no	—
635	D₄₄	—	2	2	no	—
636	D₄₄	—	2	2	no	—
637	D₄₄	—	4	1	no	—
638	C₄×D₁₁	—	2	2	no	—
639	C₄×D₁₁	—	2	2	no	—
640	C₄×D₁₁	—	2	2	no	—
641	C₄×D₁₁	—	2	2	no	—
642	C₄×D₁₁	—	2	2	no	—
643	C₄×D₁₁	—	2	2	no	—
644	C₄×D₁₁	—	2	2	no	—
645	C₄×D₁₁	—	2	2	no	—
646	C₄×D₁₁	—	2	2	no	—
647	C₄×D₁₁	—	2	2	no	—
648	C₄×D₁₁	—	2	2	no	—
649	C₄×D₁₁	—	2	2	no	—
650	C₄×D₁₁	—	2	2	no	—
651	C₄×D₁₁	—	2	2	no	—
652	C₄×D₁₁	—	4	1	no	—
653	C₄×D₁₁	—	4	1	no	—
654	C₄×D₁₁	#131	1	4	yes	complemented
655	C₄×D₁₁	C₂×#41	1	4	yes	—
656	Dic₂₂	—	2	2	no	—
657	Dic₂₂	—	2	2	no	—
658	Dic₂₂	—	2	2	no	—
659	Dic₂₂	—	2	2	no	—
660	Dic₂₂	—	4	1	no	—
661	C₈×C₁₁	—	2	2	no	—
662	C₈×C₁₁	—	2	2	no	—
663	C₈×C₁₁	—	2	2	no	—
664	C₈×C₁₁	C₂×#41	1	4	yes	—
665	C₁₁⋊C₈	—	2	2	no	—
666	C₁₁⋊C₈	—	2	2	no	—
667	C₁₁⋊C₈	—	2	2	no	—
668	C₁₁⋊C₈	C₂×#41	1	4	yes	—
669	C₂×#131	—	11	2	no	—
670	C₂×#131	—	11	2	no	—
671	C₂²×M₁₆	—	11	2	no	—
672	#533	—	11	1	no	—
673	#533	—	11	1	no	—
674	#533	—	11	1	no	—
675	#532	—	11	1	no	—
676	#532	—	11	1	no	—
677	#532	—	11	1	no	—
678	#529	—	11	1	no	—
679	#529	—	11	1	no	—
680	#529	—	11	1	no	—
681	#529	—	11	1	no	—
682	#529	—	11	1	no	—
683	#529	—	11	1	no	—
684	#529	—	11	1	no	—
685	#529	—	11	1	no	—
686	#529	—	11	1	no	—
687	#529	—	11	1	no	—
688	#529	—	11	1	no	—
689	#529	—	11	1	no	—
690	#525	—	11	1	no	—
691	#525	—	11	1	no	—
692	#525	—	11	1	no	—
693	#525	—	11	1	no	—
694	#525	—	11	1	no	—
695	#525	—	11	1	no	—
696	C₄×#41	—	11	1	no	—
697	C₄×#41	—	11	1	no	—
698	C₄×#41	—	11	1	no	—
699	C₄×#41	—	11	1	no	—
700	C₄×#41	—	11	1	no	—
701	C₄×#41	C₂×D₁₁	1	1	yes	characteristic
702	C₂²×C₄²	—	11	1	no	—
703	#446	—	11	2	no	—
704	#446	—	11	2	no	—
705	#446	—	11	2	no	—
706	#446	—	11	2	no	—
707	#446	—	11	2	no	—
708	#446	C₂×D₁₁	1	2	yes	complemented
709	C₈×Q₈	—	11	2	no	—
710	C₈×Q₈	—	11	2	no	—
711	#436	—	11	2	no	—
712	#436	—	11	2	no	—
713	#436	—	11	2	no	—
714	#436	—	11	2	no	—
715	#436	—	11	2	no	—
716	#436	C₂×D₁₁	1	2	yes	—
717	#435	—	11	2	no	—
718	#435	—	11	2	no	—
719	#435	—	11	2	no	—
720	#435	—	11	2	no	—
721	#435	—	11	2	no	—
722	#435	—	11	2	no	—
723	#435	—	11	2	no	—
724	#435	—	11	2	no	—
725	#435	—	11	2	no	—
726	#435	—	11	2	no	—
727	#435	C₂×D₁₁	1	2	yes	—
728	#435	C₂×D₁₁	1	2	yes	complemented
729	C₈×D₄	—	11	2	no	—
730	C₈×D₄	—	11	2	no	—
731	C₈×D₄	—	11	2	no	—
732	C₈×D₄	—	11	2	no	—
733	C₈×D₄	—	11	2	no	—
734	C₈×D₄	—	11	2	no	—
735	#433	—	11	2	no	—
736	#433	—	11	2	no	—
737	#433	—	11	2	no	—
738	#433	—	11	2	no	—
739	#431	—	11	1	no	—
740	#431	—	11	1	no	—
741	#431	—	11	1	no	—
742	#431	—	11	2	no	—
743	#431	—	11	2	no	—
744	#431	—	11	1	no	—
745	#431	—	11	1	no	—
746	#431	—	11	1	no	—
747	#431	—	11	1	no	—
748	#431	—	11	1	no	—
749	#431	—	11	1	no	—
750	#431	C₂×D₁₁	1	1	yes	characteristic
751	#431	C₂×D₁₁	1	1	yes	characteristic, complemented
752	#431	C₂×D₁₁	1	1	yes	characteristic, complemented
753	#424	—	11	2	no	—
754	#424	—	11	2	no	—
755	C₂×C₄⋊C₈	—	11	2	no	—
756	#408	—	11	2	no	—
757	#408	—	11	2	no	—
758	C₂×C₂²⋊C₈	—	11	2	no	—
759	#405	—	11	2	no	—
760	#405	—	11	2	no	—
761	#405	—	11	2	no	—
762	#405	—	11	2	no	—
763	#405	—	11	2	no	—
764	#405	—	11	2	no	—
765	C₄×M₁₆	—	11	2	no	—
766	C₄×M₁₆	—	11	1	no	—
767	C₄×M₁₆	—	11	1	no	—
768	C₄×M₁₆	—	11	2	no	—
769	C₄×M₁₆	—	11	1	no	—
770	C₄×M₁₆	—	11	1	no	—
771	C₄×M₁₆	—	11	1	no	—
772	C₄×M₁₆	—	11	1	no	—
773	C₄×M₁₆	C₂×D₁₁	1	1	yes	characteristic
774	C₄×M₁₆	C₂×D₁₁	1	1	yes	characteristic, complemented
775	C₂×#97	—	11	2	no	—
776	C₂×C₄×C₈	—	11	1	no	—
777	C₂×C₄×C₈	—	11	1	no	—
778	C₂×C₄×C₈	—	11	1	no	—
779	C₂×C₄×C₈	—	11	1	no	—
780	C₂×C₄×C₈	—	11	1	no	—
781	C₂×C₄×C₈	—	11	1	no	—
782	C₂×C₄×C₈	—	11	1	no	—
783	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic, complemented
784	C₂²×C₁₁	—	2	1	no	—
785	C₂²×C₁₁	—	2	1	no	—
786	C₂²×C₁₁	—	2	1	no	—
787	C₂²×C₁₁	—	2	1	no	—
788	C₂²×C₁₁	—	2	1	no	—
789	C₂²×C₁₁	—	2	1	no	—
790	C₂²×C₁₁	—	2	1	no	—
791	C₂²×C₁₁	—	2	1	no	—
792	C₂²×C₁₁	—	2	1	no	—
793	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
794	C₂×D₁₁	—	2	1	no	—
795	C₂×D₁₁	—	2	1	no	—
796	C₂×D₁₁	—	2	1	no	—
797	C₂×D₁₁	—	2	1	no	—
798	C₂×D₁₁	—	2	1	no	—
799	C₂×D₁₁	—	2	1	no	—
800	C₂×D₁₁	—	2	1	no	—
801	C₂×D₁₁	—	2	1	no	—
802	C₂×D₁₁	—	2	1	no	—
803	C₂×D₁₁	—	2	1	no	—
804	C₂×D₁₁	—	4	4	no	—
805	C₂×D₁₁	C₄×#41	1	2	yes	—
806	C₂×D₁₁	C₂×#131	1	2	yes	—
807	C₄×C₁₁	—	2	1	no	—
808	C₄×C₁₁	—	2	1	no	—
809	C₄×C₁₁	—	2	1	no	—
810	C₄×C₁₁	—	2	1	no	—
811	C₄×C₁₁	—	2	1	no	—
812	C₄×C₁₁	—	2	1	no	—
813	C₄×C₁₁	—	2	1	no	—
814	C₄×C₁₁	—	2	1	no	—
815	C₄×C₁₁	—	2	1	no	—
816	C₄×C₁₁	C₂×#131	1	2	yes	—
817	C₄×C₁₁	#568	1	2	yes	—
818	C₄×C₁₁	C₂²×#41	1	2	yes	—
819	Dic₁₁	—	2	1	no	—
820	Dic₁₁	—	2	1	no	—
821	Dic₁₁	—	2	1	no	—
822	Dic₁₁	—	2	1	no	—
823	Dic₁₁	—	2	1	no	—
824	Dic₁₁	—	2	1	no	—
825	Dic₁₁	—	2	1	no	—
826	Dic₁₁	—	2	1	no	—
827	Dic₁₁	—	2	1	no	—
828	Dic₁₁	—	2	1	no	—
829	Dic₁₁	C₄×#41	1	2	yes	—
830	Dic₁₁	C₂×#131	1	2	yes	—
831	C₂×#41	—	11	1	no	—
832	C₂×#41	—	11	1	no	—
833	C₂×#41	—	11	1	no	—
834	C₂×#41	—	11	1	no	—
835	C₂×#41	—	11	1	no	—
836	C₂×#41	C₄×D₁₁	1	1	yes	characteristic
837	C₂³×C₄	—	11	1	no	—
838	C₂³×C₄	—	11	1	no	—
839	C₂³×C₄	—	11	1	no	—
840	#131	—	22	8	no	—
841	#131	—	22	8	no	—
842	C₂×M₁₆	—	11	2	no	—
843	C₂×M₁₆	—	11	2	no	—
844	C₂×M₁₆	—	11	2	no	—
845	C₂×M₁₆	—	11	2	no	—
846	C₂×M₁₆	—	11	2	no	—
847	C₂×M₁₆	—	11	2	no	—
848	C₂×M₁₆	—	22	8	no	—
849	C₂×M₁₆	C₂²×D₁₁	1	2	yes	—
850	C₂×M₁₆	C₂²×D₁₁	1	2	yes	—
851	C₂²×C₈	—	11	2	no	—
852	C₂²×C₈	—	11	2	no	—
853	C₂²×C₈	—	11	2	no	—
854	C₂²×C₈	—	11	2	no	—
855	C₂²×C₈	—	11	2	no	—
856	C₂²×C₈	—	11	2	no	—
857	C₂²×C₈	—	11	2	no	—
858	C₂²×C₈	C₂²×D₁₁	1	2	yes	—
859	C₄⋊Q₈	—	11	1	no	—
860	C₄⋊Q₈	—	11	1	no	—
861	C₄⋊Q₈	—	11	1	no	—
862	#127	—	11	1	no	—
863	#126	—	11	1	no	—
864	#126	—	11	1	no	—
865	#126	—	11	1	no	—
866	#126	—	11	1	no	—
867	#126	—	11	1	no	—
868	#126	—	11	1	no	—
869	#126	—	11	1	no	—
870	#126	—	11	1	no	—
871	#125	—	11	1	no	—
872	#125	—	11	1	no	—
873	#125	—	11	1	no	—
874	#125	—	11	1	no	—
875	#125	—	11	1	no	—
876	#125	—	11	1	no	—
877	#124	—	11	1	no	—
878	#124	—	11	1	no	—
879	#124	—	11	1	no	—
880	#124	—	11	1	no	—
881	#124	—	11	1	no	—
882	#124	—	11	1	no	—
883	#123	—	11	1	no	—
884	#123	—	11	1	no	—
885	#123	—	11	1	no	—
886	#123	—	11	1	no	—
887	#123	—	11	1	no	—
888	#123	—	11	1	no	—
889	#123	—	11	1	no	—
890	#123	—	11	1	no	—
891	#123	—	11	1	no	—
892	#123	—	11	1	no	—
893	#123	—	11	1	no	—
894	#123	—	11	1	no	—
895	C₂²⋊Q₈	—	11	1	no	—
896	C₂²⋊Q₈	—	11	1	no	—
897	C₂²⋊Q₈	—	11	1	no	—
898	C₂²⋊Q₈	—	11	1	no	—
899	C₂²⋊Q₈	—	11	1	no	—
900	C₂²⋊Q₈	—	11	1	no	—
901	C₂²⋊Q₈	—	11	1	no	—
902	C₂²⋊Q₈	—	11	1	no	—
903	C₂²⋊Q₈	—	11	1	no	—
904	C₂²⋊Q₈	—	11	1	no	—
905	C₂²⋊Q₈	—	11	1	no	—
906	C₂²⋊Q₈	—	11	1	no	—
907	#121	—	11	1	no	—
908	#121	—	11	1	no	—
909	#121	—	11	1	no	—
910	#121	—	11	1	no	—
911	#121	—	11	1	no	—
912	#121	—	11	1	no	—
913	#121	—	11	1	no	—
914	#121	—	11	1	no	—
915	#121	—	11	1	no	—
916	#121	—	11	1	no	—
917	#121	—	11	1	no	—
918	#121	—	11	1	no	—
919	#120	—	11	1	no	—
920	#120	—	11	1	no	—
921	#120	—	11	1	no	—
922	#120	—	11	1	no	—
923	C₄×Q₈	—	11	1	no	—
924	C₄×Q₈	—	11	1	no	—
925	C₄×Q₈	—	11	1	no	—
926	C₄×Q₈	—	11	1	no	—
927	C₄×Q₈	—	11	1	no	—
928	C₄×Q₈	—	11	1	no	—
929	C₄×Q₈	—	11	1	no	—
930	C₄×Q₈	—	11	1	no	—
931	C₄×Q₈	—	11	1	no	—
932	C₄×Q₈	—	11	1	no	—
933	C₄×Q₈	C₄×D₁₁	1	1	yes	characteristic
934	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
935	C₄×D₄	—	11	1	no	—
936	C₄×D₄	—	11	1	no	—
937	C₄×D₄	—	11	1	no	—
938	C₄×D₄	—	11	1	no	—
939	C₄×D₄	—	11	1	no	—
940	C₄×D₄	—	11	1	no	—
941	C₄×D₄	—	11	1	no	—
942	C₄×D₄	—	11	1	no	—
943	C₄×D₄	—	11	1	no	—
944	C₄×D₄	—	11	1	no	—
945	C₄×D₄	—	11	1	no	—
946	C₄×D₄	—	11	1	no	—
947	C₄×D₄	—	11	1	no	—
948	C₄×D₄	—	11	1	no	—
949	C₄×D₄	—	11	1	no	—
950	C₄×D₄	—	11	1	no	—
951	C₄×D₄	—	11	1	no	—
952	C₄×D₄	—	11	1	no	—
953	C₄×D₄	—	11	1	no	—
954	C₄×D₄	—	11	1	no	—
955	C₄×D₄	—	11	1	no	—
956	C₄×D₄	—	11	1	no	—
957	C₄×D₄	—	11	1	no	—
958	C₄×D₄	—	11	1	no	—
959	C₄×D₄	—	11	1	no	—
960	C₄×D₄	—	11	1	no	—
961	C₄×D₄	—	11	1	no	—
962	C₄×D₄	—	11	1	no	—
963	C₄×D₄	—	11	1	no	—
964	C₄×D₄	—	11	1	no	—
965	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
966	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
967	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
968	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
969	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
970	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
971	#117	—	11	1	no	—
972	#117	—	11	1	no	—
973	#117	—	11	1	no	—
974	#117	—	11	1	no	—
975	#117	—	11	1	no	—
976	#117	—	11	1	no	—
977	#117	—	11	1	no	—
978	#117	—	11	1	no	—
979	#117	—	11	1	no	—
980	#117	—	11	1	no	—
981	#117	—	11	1	no	—
982	#117	—	11	1	no	—
983	#117	—	11	1	no	—
984	#117	—	11	1	no	—
985	#117	—	11	1	no	—
986	#117	C₄×D₁₁	1	1	yes	characteristic
987	#117	C₄×D₁₁	1	1	yes	characteristic
988	#117	C₄×D₁₁	1	1	yes	characteristic
989	C₂×C₄²	—	11	1	no	—
990	C₂×C₄²	—	11	1	no	—
991	C₂×C₄²	—	11	1	no	—
992	C₂×C₄²	—	11	1	no	—
993	C₂×C₄²	—	11	1	no	—
994	C₂×C₄²	—	11	1	no	—
995	C₂×C₄²	—	11	1	no	—
996	C₂×C₄²	—	11	1	no	—
997	C₂×C₄²	—	11	1	no	—
998	C₂×C₄²	—	11	1	no	—
999	C₂×C₄²	—	11	1	no	—
1000	C₂×C₄²	—	11	1	no	—
1001	C₂×C₄²	—	11	1	no	—
1002	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1003	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1004	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1005	C₄⋊C₈	—	11	2	no	—
1006	C₄⋊C₈	—	11	2	no	—
1007	C₄⋊C₈	—	11	2	no	—
1008	C₄⋊C₈	—	11	2	no	—
1009	C₄⋊C₈	—	11	2	no	—
1010	C₄⋊C₈	—	11	2	no	—
1011	C₄⋊C₈	—	11	2	no	—
1012	C₄⋊C₈	—	11	2	no	—
1013	C₄⋊C₈	—	11	2	no	—
1014	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
1015	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
1016	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
1017	C₂²⋊C₈	—	11	2	no	—
1018	C₂²⋊C₈	—	11	2	no	—
1019	C₂²⋊C₈	—	11	2	no	—
1020	C₂²⋊C₈	—	11	2	no	—
1021	C₂²⋊C₈	—	11	2	no	—
1022	C₂²⋊C₈	—	11	2	no	—
1023	C₂²⋊C₈	—	11	2	no	—
1024	C₂²⋊C₈	—	11	2	no	—
1025	C₂²⋊C₈	—	11	2	no	—
1026	C₂²⋊C₈	C₂²×D₁₁	1	2	yes	—
1027	C₂²⋊C₈	C₂²×D₁₁	1	2	yes	—
1028	C₂²⋊C₈	C₂²×D₁₁	1	2	yes	—
1029	#97	—	11	2	no	—
1030	#97	—	11	2	no	—
1031	#97	—	11	2	no	—
1032	#97	—	11	2	no	—
1033	#97	—	11	2	no	—
1034	#97	—	11	2	no	—
1035	#97	C₂²×D₁₁	1	2	yes	—
1036	#97	C₂²×D₁₁	1	2	yes	—
1037	C₄×C₈	—	11	2	no	—
1038	C₄×C₈	—	11	2	no	—
1039	C₄×C₈	—	11	2	no	—
1040	C₄×C₈	—	11	2	no	—
1041	C₄×C₈	—	11	2	no	—
1042	C₄×C₈	—	11	2	no	—
1043	C₄×C₈	—	11	2	no	—
1044	C₄×C₈	—	11	1	no	—
1045	C₄×C₈	—	11	1	no	—
1046	C₄×C₈	—	11	1	no	—
1047	C₄×C₈	—	11	1	no	—
1048	C₄×C₈	C₂²×D₁₁	1	2	yes	—
1049	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
1050	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
1051	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
1052	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
1053	C₂×C₁₁	—	4	1	no	—
1054	C₂×C₁₁	—	4	1	no	—
1055	C₂×C₁₁	—	4	1	no	—
1056	C₂×C₁₁	C₂×C₄×#41	1	1	yes	characteristic
1057	C₂×C₁₁	C₂²×#131	1	1	yes	characteristic
1058	C₂×C₁₁	C₂×#568	1	1	yes	characteristic
1059	D₁₁	—	2	2	no	—
1060	D₁₁	—	2	2	no	—
1061	D₁₁	—	4	1	no	—
1062	D₁₁	—	4	1	no	—
1063	C₂⁴	—	11	1	no	—
1064	#41	—	4	2	no	—
1065	#41	—	22	4	no	—
1066	#41	—	22	4	no	—
1067	#41	—	22	4	no	—
1068	#41	—	22	4	no	—
1069	#41	—	44	2	no	—
1070	C₂×Q₈	—	11	1	no	—
1071	C₂×Q₈	—	11	1	no	—
1072	C₂×Q₈	—	11	1	no	—
1073	C₂×Q₈	—	11	1	no	—
1074	C₂×Q₈	—	11	1	no	—
1075	C₂×Q₈	C₂×C₄×D₁₁	1	1	yes	characteristic
1076	C₂×D₄	—	11	1	no	—
1077	C₂×D₄	—	11	1	no	—
1078	C₂×D₄	—	11	1	no	—
1079	C₂×D₄	—	11	1	no	—
1080	C₂×D₄	—	11	1	no	—
1081	C₂×D₄	—	11	1	no	—
1082	C₂×D₄	—	11	1	no	—
1083	C₂×D₄	—	11	1	no	—
1084	C₂×D₄	—	11	1	no	—
1085	C₂×D₄	—	11	1	no	—
1086	C₂×D₄	—	11	1	no	—
1087	C₂×D₄	—	11	1	no	—
1088	C₂×D₄	—	11	1	no	—
1089	C₂×D₄	—	11	1	no	—
1090	C₂×D₄	—	11	1	no	—
1091	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1092	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1093	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1094	C₂²×C₄	—	11	1	no	—
1095	C₂²×C₄	—	11	1	no	—
1096	C₂²×C₄	—	11	1	no	—
1097	C₂²×C₄	—	11	1	no	—
1098	C₂²×C₄	—	11	1	no	—
1099	C₂²×C₄	—	11	1	no	—
1100	C₂²×C₄	—	11	1	no	—
1101	C₂²×C₄	—	11	1	no	—
1102	C₂²×C₄	—	11	1	no	—
1103	C₂²×C₄	—	11	1	no	—
1104	C₂²×C₄	—	11	1	no	—
1105	C₂²×C₄	—	11	1	no	—
1106	C₂²×C₄	—	11	1	no	—
1107	C₂²×C₄	—	11	1	no	—
1108	C₂²×C₄	—	11	1	no	—
1109	C₂²×C₄	—	11	1	no	—
1110	C₂²×C₄	—	11	1	no	—
1111	C₂²×C₄	—	11	1	no	—
1112	C₂²×C₄	—	11	1	no	—
1113	C₂²×C₄	—	11	1	no	—
1114	C₂²×C₄	—	11	1	no	—
1115	C₂²×C₄	—	22	4	no	—
1116	C₂²×C₄	—	22	4	no	—
1117	C₂²×C₄	—	44	2	no	—
1118	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1119	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1120	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1121	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1122	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1123	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1127	M₁₆	—	2	4	no	—
1128	M₁₆	—	2	4	no	—
1129	M₁₆	—	11	8	no	—
1130	M₁₆	—	22	4	no	—
1131	M₁₆	—	22	4	no	—
1132	M₁₆	—	22	4	no	—
1133	M₁₆	—	22	4	no	—
1134	M₁₆	—	22	4	no	—
1135	C₂×C₈	—	2	4	no	—
1136	C₂×C₈	—	11	2	no	—
1137	C₂×C₈	—	11	2	no	—
1138	C₂×C₈	—	11	2	no	—
1139	C₂×C₈	—	11	2	no	—
1140	C₂×C₈	—	22	4	no	—
1141	C₂×C₈	—	22	4	no	—
1142	C₂×C₈	—	22	4	no	—
1143	C₂×C₈	—	22	4	no	—
1144	C₂×C₈	—	22	4	no	—
1145	C₂×C₈	—	22	4	no	—
1146	C₂×C₈	—	22	4	no	—
1147	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1148	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1149	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1150	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1151	C₄⋊C₄	—	11	1	no	—
1152	C₄⋊C₄	—	11	1	no	—
1153	C₄⋊C₄	—	11	1	no	—
1154	C₄⋊C₄	—	11	1	no	—
1155	C₄⋊C₄	—	11	1	no	—
1156	C₄⋊C₄	—	11	1	no	—
1157	C₄⋊C₄	—	11	1	no	—
1158	C₄⋊C₄	—	11	1	no	—
1159	C₄⋊C₄	—	11	1	no	—
1160	C₄⋊C₄	—	11	1	no	—
1161	C₄⋊C₄	—	11	1	no	—
1162	C₄⋊C₄	—	11	1	no	—
1163	C₄⋊C₄	—	11	1	no	—
1164	C₄⋊C₄	—	11	1	no	—
1165	C₄⋊C₄	—	11	1	no	—
1166	C₄⋊C₄	—	11	1	no	—
1167	C₄⋊C₄	—	11	1	no	—
1168	C₄⋊C₄	—	11	1	no	—
1169	C₄⋊C₄	—	11	1	no	—
1170	C₄⋊C₄	—	11	1	no	—
1171	C₄⋊C₄	—	11	1	no	—
1172	C₄⋊C₄	—	11	1	no	—
1173	C₄⋊C₄	—	11	1	no	—
1174	C₄⋊C₄	—	11	1	no	—
1175	C₄⋊C₄	—	11	1	no	—
1176	C₄⋊C₄	—	11	1	no	—
1177	C₄⋊C₄	—	11	1	no	—
1178	C₄⋊C₄	—	11	1	no	—
1179	C₄⋊C₄	—	11	1	no	—
1180	C₄⋊C₄	—	11	1	no	—
1181	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1182	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1183	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1184	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1185	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1186	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1187	C₂²⋊C₄	—	11	1	no	—
1188	C₂²⋊C₄	—	11	1	no	—
1189	C₂²⋊C₄	—	11	1	no	—
1190	C₂²⋊C₄	—	11	1	no	—
1191	C₂²⋊C₄	—	11	1	no	—
1192	C₂²⋊C₄	—	11	1	no	—
1193	C₂²⋊C₄	—	11	1	no	—
1194	C₂²⋊C₄	—	11	1	no	—
1195	C₂²⋊C₄	—	11	1	no	—
1196	C₂²⋊C₄	—	11	1	no	—
1197	C₂²⋊C₄	—	11	1	no	—
1198	C₂²⋊C₄	—	11	1	no	—
1199	C₂²⋊C₄	—	11	1	no	—
1200	C₂²⋊C₄	—	11	1	no	—
1201	C₂²⋊C₄	—	11	1	no	—
1202	C₂²⋊C₄	—	11	1	no	—
1203	C₂²⋊C₄	—	11	1	no	—
1204	C₂²⋊C₄	—	11	1	no	—
1205	C₂²⋊C₄	—	11	1	no	—
1206	C₂²⋊C₄	—	11	1	no	—
1207	C₂²⋊C₄	—	11	1	no	—
1208	C₂²⋊C₄	—	11	1	no	—
1209	C₂²⋊C₄	—	11	1	no	—
1210	C₂²⋊C₄	—	11	1	no	—
1211	C₂²⋊C₄	—	11	1	no	—
1212	C₂²⋊C₄	—	11	1	no	—
1213	C₂²⋊C₄	—	11	1	no	—
1214	C₂²⋊C₄	—	11	1	no	—
1215	C₂²⋊C₄	—	11	1	no	—
1216	C₂²⋊C₄	—	11	1	no	—
1217	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1218	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1219	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1220	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1221	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1222	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1223	C₄²	—	11	1	no	—
1224	C₄²	—	11	1	no	—
1225	C₄²	—	11	1	no	—
1226	C₄²	—	11	1	no	—
1227	C₄²	—	11	1	no	—
1228	C₄²	—	11	1	no	—
1229	C₄²	—	11	1	no	—
1230	C₄²	—	11	1	no	—
1231	C₄²	—	11	1	no	—
1232	C₄²	—	11	1	no	—
1233	C₄²	—	11	1	no	—
1234	C₄²	—	11	1	no	—
1235	C₄²	—	11	1	no	—
1236	C₄²	—	11	1	no	—
1237	C₄²	—	11	1	no	—
1238	C₄²	—	11	1	no	—
1239	C₄²	—	11	1	no	—
1240	C₄²	—	11	1	no	—
1241	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1242	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1243	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1244	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1245	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1246	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1247	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1248	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1249	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1250	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1251	C₁₁	#60210	1	1	yes	characteristic, complemented, Sylow
1252	C₂³	—	11	1	no	—
1253	C₂³	—	11	1	no	—
1254	C₂³	—	11	1	no	—
1255	C₂³	—	11	1	no	—
1256	C₂³	—	22	2	no	—
1257	C₂³	—	22	2	no	—
1258	C₂³	—	44	1	no	—
1259	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1260	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1261	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1262	Q₈	—	4	1	no	—
1263	Q₈	—	22	2	no	—
1264	Q₈	—	22	2	no	—
1265	Q₈	—	22	2	no	—
1266	Q₈	—	22	2	no	—
1267	Q₈	—	44	1	no	—
1268	D₄	—	4	1	no	—
1269	D₄	—	4	1	no	—
1270	D₄	—	4	1	no	—
1271	D₄	—	22	2	no	—
1272	D₄	—	22	2	no	—
1273	D₄	—	22	2	no	—
1274	D₄	—	22	2	no	—
1275	D₄	—	22	2	no	—
1276	D₄	—	22	2	no	—
1277	D₄	—	22	2	no	—
1278	D₄	—	22	2	no	—
1279	D₄	—	22	2	no	—
1280	D₄	—	22	2	no	—
1281	D₄	—	22	2	no	—
1282	D₄	—	22	2	no	—
1283	D₄	—	44	1	no	—
1284	D₄	—	44	1	no	—
1285	D₄	—	44	1	no	—
1286	C₂×C₄	—	2	2	no	—
1287	C₂×C₄	—	2	2	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	2	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	2	2	no	—
1292	C₂×C₄	—	2	2	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	11	1	no	—
1296	C₂×C₄	—	11	1	no	—
1297	C₂×C₄	—	11	4	no	—
1298	C₂×C₄	—	11	4	no	—
1299	C₂×C₄	—	11	1	no	—
1300	C₂×C₄	—	11	1	no	—
1301	C₂×C₄	—	11	1	no	—
1302	C₂×C₄	—	11	1	no	—
1303	C₂×C₄	—	11	1	no	—
1304	C₂×C₄	—	11	1	no	—
1305	C₂×C₄	—	11	1	no	—
1306	C₂×C₄	—	11	1	no	—
1307	C₂×C₄	—	11	1	no	—
1308	C₂×C₄	—	11	1	no	—
1309	C₂×C₄	—	22	2	no	—
1310	C₂×C₄	—	22	2	no	—
1311	C₂×C₄	—	22	2	no	—
1312	C₂×C₄	—	22	2	no	—
1313	C₂×C₄	—	22	2	no	—
1314	C₂×C₄	—	22	2	no	—
1315	C₂×C₄	—	22	2	no	—
1316	C₂×C₄	—	22	2	no	—
1317	C₂×C₄	—	22	2	no	—
1318	C₂×C₄	—	22	2	no	—
1319	C₂×C₄	—	22	2	no	—
1320	C₂×C₄	—	22	2	no	—
1321	C₂×C₄	—	22	2	no	—
1322	C₂×C₄	—	22	2	no	—
1323	C₂×C₄	—	22	2	no	—
1324	C₂×C₄	—	22	2	no	—
1325	C₂×C₄	—	44	1	no	—
1326	C₂×C₄	—	44	1	no	—
1327	C₂×C₄	—	44	1	no	—
1328	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1329	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1330	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1331	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1332	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1333	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1334	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1335	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1336	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1337	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1338	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1339	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1340	C₈	—	2	2	no	—
1341	C₈	—	2	2	no	—
1342	C₈	—	2	2	no	—
1343	C₈	—	11	4	no	—
1344	C₈	—	22	2	no	—
1345	C₈	—	22	2	no	—
1346	C₈	—	22	2	no	—
1347	C₈	#41×D₁₁	1	4	yes	—
1348	C₂²	—	2	1	no	—
1349	C₂²	—	2	1	no	—
1350	C₂²	—	2	1	no	—
1351	C₂²	—	2	1	no	—
1352	C₂²	—	2	1	no	—
1353	C₂²	—	2	1	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	2	1	no	—
1357	C₂²	—	11	2	no	—
1358	C₂²	—	11	2	no	—
1359	C₂²	—	22	1	no	—
1360	C₂²	—	22	1	no	—
1361	C₂²	—	22	1	no	—
1362	C₂²	—	22	1	no	—
1363	C₂²	—	22	1	no	—
1364	C₂²	—	22	1	no	—
1365	C₂²	—	22	1	no	—
1366	C₂²	—	22	1	no	—
1367	C₂²	—	22	1	no	—
1368	C₂²	—	22	1	no	—
1369	C₂²	—	44	4	no	—
1370	C₂²	C₂³×C₄×D₁₁	1	1	yes	characteristic
1371	C₄	—	2	1	no	—
1372	C₄	—	2	1	no	—
1373	C₄	—	2	1	no	—
1374	C₄	—	2	1	no	—
1375	C₄	—	2	1	no	—
1376	C₄	—	2	1	no	—
1377	C₄	—	2	1	no	—
1378	C₄	—	2	1	no	—
1379	C₄	—	2	1	no	—
1380	C₄	—	11	2	no	—
1381	C₄	—	11	2	no	—
1382	C₄	—	22	1	no	—
1383	C₄	—	22	1	no	—
1384	C₄	—	22	1	no	—
1385	C₄	—	22	1	no	—
1386	C₄	—	22	1	no	—
1387	C₄	—	22	1	no	—
1388	C₄	—	22	1	no	—
1389	C₄	—	22	1	no	—
1390	C₄	—	22	1	no	—
1391	C₄	—	22	1	no	—
1392	C₄	#10623276	1	2	yes	—
1393	C₄	D₁₁×#131	1	2	yes	—
1394	C₄	C₂×#41×D₁₁	1	2	yes	—
1395	C₂	—	4	1	no	—
1396	C₂	—	4	1	no	—
1397	C₂	—	4	1	no	—
1398	C₂	—	22	2	no	—
1399	C₂	—	22	2	no	—
1400	C₂	—	44	1	no	—
1401	C₂	—	44	1	no	—
1402	C₂	C₄×#41×D₁₁	1	1	yes	characteristic
1403	C₂	C₂×D₁₁×#131	1	1	yes	characteristic
1404	C₂	C₂×#10623276	1	1	yes	characteristic

	subgroup	G/H
center	C₄²	C₂³×D₁₁
commutator, socle	C₂²×C₁₁	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₁₁
Fitting	C₁₁×#2965	C₂
prime radical	#13081909	C₂
cosocle	C₂×C₄×C₁₁	C₂⁵
hypercenter	#2965	D₁₁
hypocenter	C₁₁	#60210
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₄² ◁ #2965

Complements

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

N	H ≅ G/N	type
2. #13077615	C₂	semidirect
3. #13077613	C₂	semidirect
4. #13077609	C₂	semidirect
5. #13077607	C₂	semidirect
6. #13077583	C₂	semidirect
7. #13077580	C₂	semidirect
8. #13077580	C₂	semidirect
9. #13077578	C₂	semidirect
10. #13077578	C₂	semidirect
11. C₈×#4339	C₂	semidirect
12. #13077572	C₂	semidirect
13. #13077561	C₂	semidirect
14. #13077357	C₂	semidirect
15. #13077345	C₂	semidirect
16. #13077339	C₂	semidirect
17. #13077255	C₂	semidirect
18. #13077255	C₂	semidirect
19. D₁₁×#431	C₂	semidirect
20. C₄×#66960	C₂	semidirect
21. C₄×#66954	C₂	semidirect
22. C₄×M₁₆×D₁₁	C₂	semidirect
23. C₁₁×#2965	C₂	semidirect
58. C₁₁×#446	C₂²	semidirect
61. C₁₁×#435	C₂²	semidirect
63. C₁₁×#431	C₂²	semidirect
64. C₁₁×#431	C₂²	semidirect
66. C₄×C₁₁×M₁₆	C₂²	semidirect
67. C₂×C₄×C₈×C₁₁	C₂²	semidirect
69. #10622741	C₂²	semidirect
72. #10622735	C₂²	semidirect
75. C₈×C₂²⋊D₁₁	C₂²	semidirect
76. #10622714	C₂²	semidirect
77. #10622637	C₂²	semidirect
80. #10622624	C₂²	semidirect
82. #10622538	C₂²	semidirect
83. #10622538	C₂²	semidirect
85. C₄×#4318	C₂²	semidirect
86. C₂×C₄×C₁₁⋊C₈	C₂²	semidirect
87. #10622453	C₂²	semidirect
88. #10622453	C₂²	semidirect
92. #10622449	C₂²	semidirect
96. #10622443	C₂²	semidirect
97. #10622441	C₂²	semidirect
98. #10622441	C₂²	semidirect
100. #10622342	C₂²	semidirect
106. (C₂²⋊D₁₁)⋊C₈	C₂²	semidirect
108. #10622333	C₂²	semidirect
109. #10622333	C₂²	semidirect
112. #10622321	C₂²	semidirect
115. #10622319	C₂²	semidirect
117. #10622314	C₂²	semidirect
118. #10622314	C₂²	semidirect
120. #10622302	C₂²	semidirect
123. C₄×#4313	C₂²	semidirect
124. C₄×#4313	C₂²	semidirect
128. #10622298	C₂²	semidirect
129. #10622298	C₂²	semidirect
130. #10622298	C₂²	semidirect
131. #10622298	C₂²	semidirect
136. C₄×C₈×D₁₁	C₂²	semidirect
137. C₄×C₈×D₁₁	C₂²	semidirect
138. C₈×Dic₂₂	C₂²	semidirect
543. #4313	#41	semidirect
560. #2965	D₁₁	semidirect
654. C₄×D₁₁	#131	semidirect
708. #446	C₂×D₁₁	semidirect
728. #435	C₂×D₁₁	semidirect
751. #431	C₂×D₁₁	semidirect
752. #431	C₂×D₁₁	semidirect
774. C₄×M₁₆	C₂×D₁₁	semidirect
783. C₂×C₄×C₈	C₂×D₁₁	semidirect
1251. C₁₁	#60210	semidirect

Maximal subgroups

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

subgroup	index
#13081909	2
#13077615	2
#13077613	2
#13077609	2
#13077607	2
#13077583	2
#13077580	2
#13077578	2
C₈×#4339	2
#13077572	2
#13077561	2
#13077357	2
#13077345	2
#13077339	2
#13077255	2
D₁₁×#431	2
C₄×#66960	2
C₄×#66954	2
C₄×M₁₆×D₁₁	2
C₁₁×#2965	2
#60210	11