Subgroups — #15646008

Order 2816.

1952 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13082571	C₂	1	1	yes	maximal, characteristic, complemented
2	#13082220	C₂	1	1	yes	maximal, characteristic, complemented
3	#13081623	C₂	1	1	yes	maximal, characteristic, complemented
4	#13081615	C₂	1	1	yes	maximal, characteristic, complemented
5	#13081271	C₂	1	1	yes	maximal, characteristic, complemented
6	#13081260	C₂	1	1	yes	maximal, characteristic, complemented
7	#13080525	C₂	1	1	yes	maximal, characteristic, complemented
8	#13080514	C₂	1	1	yes	maximal, characteristic, complemented
9	#13080488	C₂	1	1	yes	maximal, characteristic, complemented
10	#13080473	C₂	1	1	yes	maximal, characteristic, complemented
11	#13080462	C₂	1	1	yes	maximal, characteristic, complemented
12	#13080436	C₂	1	1	yes	maximal, characteristic, complemented
13	#13080329	C₂	1	1	yes	maximal, characteristic, complemented
14	#13080323	C₂	1	1	yes	maximal, characteristic, complemented
15	SD₁₆×C₂²⋊D₁₁	C₂	1	1	yes	maximal, characteristic, complemented
16	#13080301	C₂	1	1	yes	maximal, characteristic, complemented
17	#13080296	C₂	1	1	yes	maximal, characteristic, complemented
18	D₈×C₂²⋊D₁₁	C₂	1	1	yes	maximal, characteristic, complemented
19	#13079968	C₂	1	1	yes	maximal, characteristic, complemented
20	#13079965	C₂	1	1	yes	maximal, characteristic, complemented
21	#13079939	C₂	1	1	yes	maximal, characteristic, complemented
22	#13079581	C₂	1	1	yes	maximal, characteristic, complemented
23	#13079579	C₂	1	1	yes	maximal, characteristic, complemented
24	#13079548	C₂	1	1	yes	maximal, characteristic, complemented
25	#13078663	C₂	1	1	yes	maximal, characteristic, complemented
26	#13078662	C₂	1	1	yes	maximal, characteristic, complemented
27	#13078631	C₂	1	1	yes	maximal, characteristic, complemented
28	#13078068	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₁×#463	C₂	1	1	yes	maximal, characteristic, complemented
30	#13077725	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₁₁×#463	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
34	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
36	#10623348	C₂²	1	1	yes	characteristic, complemented
37	Q₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
38	#10623337	C₂²	1	1	yes	characteristic, complemented
39	#10623337	C₂²	1	1	yes	characteristic, complemented
40	D₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
41	D₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
42	#10623322	—	2	1	no	—
43	C₂×C₄×C₂²⋊D₁₁	—	2	1	no	—
44	C₂×#66969	C₂²	1	1	yes	characteristic, complemented
45	C₂×SD₁₆×D₁₁	C₂²	1	1	yes	characteristic, complemented
46	C₂×#66965	C₂²	1	1	yes	characteristic, complemented
47	C₂×D₈×D₁₁	C₂²	1	1	yes	characteristic
48	#10623212	C₂²	1	1	yes	characteristic, complemented
49	#10623211	C₂²	1	1	yes	characteristic, complemented
50	#10623211	C₂²	1	1	yes	characteristic, complemented
51	#10623210	—	2	1	no	—
52	#10623209	—	2	1	no	—
53	#10623208	C₂²	1	1	yes	characteristic, complemented
54	#10623207	C₂²	1	1	yes	characteristic, complemented
55	D₁₁×#124	C₂²	1	1	yes	characteristic, complemented
56	#10623202	C₂²	1	1	yes	characteristic, complemented
57	#10623201	—	2	1	no	—
58	#10623200	—	2	1	no	—
59	#10623199	C₂²	1	1	yes	characteristic, complemented
60	#10623090	C₂²	1	1	yes	characteristic, complemented
61	#10623089	C₂²	1	1	yes	characteristic, complemented
62	#10623088	C₂²	1	1	yes	characteristic, complemented
63	#10623087	—	2	1	no	—
64	#10623085	C₂²	1	1	yes	characteristic, complemented
65	#10623079	C₂²	1	1	yes	characteristic, complemented
66	#10623078	—	2	1	no	—
67	C₄×D₄×D₁₁	C₂²	1	1	yes	characteristic, complemented
68	#10623071	—	2	1	no	—
69	#10623070	C₂²	1	1	yes	characteristic, complemented
70	#10623069	—	2	1	no	—
71	C₄×#4341	C₂²	1	1	yes	characteristic, complemented
72	#10623045	C₂²	1	1	yes	characteristic, complemented
73	#10623042	C₂²	1	1	yes	characteristic
74	#10623026	—	2	1	no	—
75	#10623026	—	2	1	no	—
76	#10623025	—	2	1	no	—
77	#10623021	—	2	1	no	—
78	#10623021	—	2	1	no	—
79	#10623017	—	2	1	no	—
80	#10623010	C₂²	1	1	yes	characteristic, complemented
81	#10623010	C₂²	1	1	yes	characteristic, complemented
82	C₄×#4339	C₂²	1	1	yes	characteristic
83	C₁₁×#463	C₂²	1	1	yes	characteristic
84	C₁₁×#463	C₂²	1	1	yes	characteristic
85	C₁₁×#463	C₂²	1	1	yes	characteristic, complemented
86	C₁₁×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₁×#463	C₂²	1	1	yes	characteristic, complemented
88	C₁₁×#463	C₂²	1	1	yes	characteristic, complemented
89	C₁₁×#463	C₂²	1	1	yes	characteristic, complemented
90	C₁₁×#463	C₂²	1	1	yes	characteristic, complemented
91	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₁₁×#103	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₁₁×#102	C₂²	1	1	yes	characteristic, complemented
94	#10622841	C₂²	1	1	yes	characteristic, complemented
95	#10622840	C₂²	1	1	yes	characteristic, complemented
96	#10622831	C₂²	1	1	yes	characteristic, complemented
97	#10622831	C₂²	1	1	yes	characteristic, complemented
98	#10622830	C₂²	1	1	yes	characteristic
99	#10622830	C₂²	1	1	yes	characteristic
100	#10622788	C₂²	1	1	yes	characteristic, complemented
101	#10622786	C₂²	1	1	yes	characteristic, complemented
102	#10622785	C₂²	1	1	yes	characteristic, complemented
103	#10622784	C₂²	1	1	yes	characteristic, complemented
104	#10622784	C₂²	1	1	yes	characteristic, complemented
105	#10622783	C₂²	1	1	yes	characteristic, complemented
106	#10622782	C₂²	1	1	yes	characteristic, complemented
107	#10622781	C₂²	1	1	yes	characteristic, complemented
108	#10622779	C₂²	1	1	yes	characteristic, complemented
109	#10622778	C₂²	1	1	yes	characteristic, complemented
110	#10622776	C₂²	1	1	yes	characteristic, complemented
111	#10622775	C₂²	1	1	yes	characteristic, complemented
112	SD₁₆×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
113	SD₁₆×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
114	#10622771	C₂²	1	1	yes	characteristic
115	#10622771	C₂²	1	1	yes	characteristic, complemented
116	#10622770	C₂²	1	1	yes	characteristic
117	#10622770	C₂²	1	1	yes	characteristic, complemented
118	#10622769	C₂²	1	1	yes	characteristic
119	#10622769	C₂²	1	1	yes	characteristic
120	#10622768	C₂²	1	1	yes	characteristic, complemented
121	#10622766	C₂²	1	1	yes	characteristic
122	#10622766	C₂²	1	1	yes	characteristic, complemented
123	#10622764	C₂²	1	1	yes	characteristic
124	#10622763	C₂²	1	1	yes	characteristic
125	#10622763	C₂²	1	1	yes	characteristic
126	D₈×Dic₁₁	C₂²	1	1	yes	characteristic
127	D₈×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
128	#10622729	C₂²	1	1	yes	characteristic, complemented
129	#10622728	C₂²	1	1	yes	characteristic
130	#10622727	C₂²	1	1	yes	characteristic, complemented
131	#10622727	C₂²	1	1	yes	characteristic, complemented
132	C₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
133	C₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
134	C₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
135	C₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
136	#10622672	C₂²	1	1	yes	characteristic, complemented
137	#10622672	C₂²	1	1	yes	characteristic, complemented
138	#10622670	C₂²	1	1	yes	characteristic, complemented
139	#10622670	C₂²	1	1	yes	characteristic, complemented
140	#10622669	C₂²	1	1	yes	characteristic, complemented
141	#10622669	C₂²	1	1	yes	characteristic, complemented
142	#10622667	C₂²	1	1	yes	characteristic, complemented
143	#10622667	C₂²	1	1	yes	characteristic, complemented
144	C₄×#4324	C₂²	1	1	yes	characteristic, complemented
145	C₄×#4324	C₂²	1	1	yes	characteristic, complemented
146	#10622629	C₂²	1	1	yes	characteristic, complemented
147	#10622629	C₂²	1	1	yes	characteristic, complemented
148	C₄×#4323	C₂²	1	1	yes	characteristic, complemented
149	C₄×#4323	C₂²	1	1	yes	characteristic, complemented
150	#10622622	C₂²	1	1	yes	characteristic, complemented
151	#10622622	C₂²	1	1	yes	characteristic, complemented
152	#10622583	C₂²	1	1	yes	characteristic, complemented
153	#10622581	C₂²	1	1	yes	characteristic, complemented
154	#10622538	C₂²	1	1	yes	characteristic, complemented
155	#10622460	C₂²	1	1	yes	characteristic, complemented
156	#10622460	C₂²	1	1	yes	characteristic, complemented
157	#10622458	C₂²	1	1	yes	characteristic, complemented
158	#10622458	C₂²	1	1	yes	characteristic, complemented
159	#10622457	C₂²	1	1	yes	characteristic, complemented
160	#10622457	C₂²	1	1	yes	characteristic, complemented
161	#10622447	C₂²	1	1	yes	characteristic, complemented
162	#10622447	C₂²	1	1	yes	characteristic, complemented
163	#10622446	C₂²	1	1	yes	characteristic, complemented
164	#10622446	C₂²	1	1	yes	characteristic, complemented
165	D₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
166	D₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	#10622443	C₂²	1	1	yes	characteristic, complemented
168	#10622443	C₂²	1	1	yes	characteristic, complemented
169	#10622442	C₂²	1	1	yes	characteristic, complemented
170	#10622442	C₂²	1	1	yes	characteristic, complemented
171	#10622432	C₂²	1	1	yes	characteristic, complemented
172	#10622427	C₂²	1	1	yes	characteristic, complemented
173	#10622426	C₂²	1	1	yes	characteristic, complemented
174	#10622424	C₂²	1	1	yes	characteristic, complemented
175	#10622422	C₂²	1	1	yes	characteristic, complemented
176	#10622421	C₂²	1	1	yes	characteristic, complemented
177	#10622420	C₂²	1	1	yes	characteristic, complemented
178	#10622417	C₂²	1	1	yes	characteristic, complemented
179	D₁₁×#103	C₂²	1	1	yes	characteristic, complemented
180	#10622413	C₂²	1	1	yes	characteristic, complemented
181	#10622409	C₂²	1	1	yes	characteristic, complemented
182	#10622407	C₂²	1	1	yes	characteristic, complemented
183	#10622406	C₂²	1	1	yes	characteristic, complemented
184	#10622405	C₂²	1	1	yes	characteristic, complemented
185	#10622403	C₂²	1	1	yes	characteristic, complemented
186	#10622401	C₂²	1	1	yes	characteristic, complemented
187	#10622400	C₂²	1	1	yes	characteristic, complemented
188	#10622394	C₂²	1	1	yes	characteristic, complemented
189	#10622392	C₂²	1	1	yes	characteristic, complemented
190	#10622391	C₂²	1	1	yes	characteristic, complemented
191	#10622390	C₂²	1	1	yes	characteristic, complemented
192	#10622389	C₂²	1	1	yes	characteristic, complemented
193	#10622388	C₂²	1	1	yes	characteristic, complemented
194	#10622385	C₂²	1	1	yes	characteristic, complemented
195	D₁₁×#102	C₂²	1	1	yes	characteristic, complemented
196	#10622381	C₂²	1	1	yes	characteristic, complemented
197	#10622376	C₂²	1	1	yes	characteristic, complemented
198	#10622375	C₂²	1	1	yes	characteristic, complemented
199	#10622374	C₂²	1	1	yes	characteristic, complemented
200	#10622373	C₂²	1	1	yes	characteristic, complemented
201	#10622371	C₂²	1	1	yes	characteristic, complemented
202	#10622369	C₂²	1	1	yes	characteristic, complemented
203	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₁₁	—	2	1	no	—
207	C₂²×C₂²⋊D₁₁	—	2	1	no	—
208	C₂²×C₂²⋊D₁₁	—	2	1	no	—
209	C₂×#4343	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₁₁	C₂³	1	1	yes	characteristic
211	C₂×#4341	C₂³	1	1	yes	characteristic
212	C₂×#4341	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₁₁	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₁₁	C₂³	1	1	yes	characteristic
215	C₂×#4339	—	2	1	no	—
216	C₂×#4339	D₄	1	1	yes	characteristic
217	C₂²×C₄×D₁₁	—	2	1	no	—
218	C₂×C₁₁×SD₁₆	—	4	2	no	—
219	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₁×D₈	—	4	2	no	—
224	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
225	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
230	C₁₁×#124	—	2	1	no	—
231	C₁₁×#124	—	2	1	no	—
232	C₁₁×#124	C₂³	1	1	yes	characteristic
233	C₁₁×#124	C₂³	1	1	yes	characteristic
234	C₁₁×#124	C₂³	1	1	yes	characteristic
235	C₁₁×#124	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₁	—	2	1	no	—
237	C₄×D₄×C₁₁	—	2	1	no	—
238	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
242	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
244	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
245	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
246	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
247	#67006	—	2	1	no	—
248	#67006	—	2	1	no	—
249	#67006	—	2	1	no	—
250	#67006	—	2	1	no	—
251	C₂×C₂²⋊Dic₁₁	—	2	1	no	—
252	C₂×C₂²⋊Dic₁₁	—	2	1	no	—
253	#67000	—	2	1	no	—
254	#67000	C₂³	1	1	yes	characteristic
255	#66999	—	2	1	no	—
256	#66999	—	2	1	no	—
257	#66999	C₂³	1	1	yes	characteristic
258	#66999	C₂³	1	1	yes	characteristic
259	Q₈×Dic₁₁	C₂³	1	1	yes	characteristic
260	Q₈×Dic₁₁	C₂³	1	1	yes	characteristic
261	#66997	—	2	1	no	—
262	#66997	C₂³	1	1	yes	characteristic
263	C₂×#4326	C₂³	1	1	yes	characteristic
264	C₂×#4326	C₂³	1	1	yes	characteristic
265	C₂×#4325	C₂³	1	1	yes	characteristic
266	C₂×#4325	C₂³	1	1	yes	characteristic
267	#66993	C₂³	1	1	yes	characteristic
268	#66993	C₂³	1	1	yes	characteristic
269	#66992	—	2	1	no	—
270	#66992	—	2	1	no	—
271	#66992	—	2	1	no	—
272	#66992	—	2	1	no	—
273	#66991	C₂³	1	1	yes	characteristic
274	#66991	C₂³	1	1	yes	characteristic
275	#66991	C₂³	1	1	yes	characteristic
276	#66991	C₂³	1	1	yes	characteristic
277	#66990	—	2	1	no	—
278	#66990	—	2	1	no	—
279	#66989	C₂³	1	1	yes	characteristic
280	#66989	C₂³	1	1	yes	characteristic
281	#66988	—	2	1	no	—
282	#66988	—	2	1	no	—
283	D₄×Dic₁₁	C₂³	1	1	yes	characteristic
284	D₄×Dic₁₁	C₂³	1	1	yes	characteristic
285	D₄×Dic₁₁	C₂³	1	1	yes	characteristic
286	D₄×Dic₁₁	C₂³	1	1	yes	characteristic
287	C₂×#4324	C₂³	1	1	yes	characteristic
288	C₂×#4324	C₂³	1	1	yes	characteristic
289	C₂×#4324	C₂³	1	1	yes	characteristic
290	C₂×#4324	C₂³	1	1	yes	characteristic
291	C₂×#4323	C₂³	1	1	yes	characteristic
292	C₂×#4323	C₂³	1	1	yes	characteristic
293	C₂×#4323	C₂³	1	1	yes	characteristic
294	C₂×#4323	C₂³	1	1	yes	characteristic
295	#66983	—	2	1	no	—
296	#66983	—	2	1	no	—
297	#66983	—	2	1	no	—
298	#66983	C₂³	1	1	yes	characteristic
299	#66983	C₂³	1	1	yes	characteristic
300	#66982	—	2	1	no	—
301	#66982	—	2	1	no	—
302	#66982	—	2	1	no	—
303	#66982	—	2	1	no	—
304	C₄×C₂²⋊D₁₁	—	2	1	no	—
305	C₄×C₂²⋊D₁₁	—	2	1	no	—
306	C₄×C₂²⋊D₁₁	—	2	1	no	—
307	C₄×C₂²⋊D₁₁	—	2	1	no	—
308	C₄×C₂²⋊D₁₁	—	2	1	no	—
309	C₄×C₂²⋊D₁₁	—	2	1	no	—
310	C₄×C₂²⋊D₁₁	—	2	1	no	—
311	C₄×C₂²⋊D₁₁	—	2	1	no	—
312	C₄×C₂²⋊D₁₁	—	2	1	no	—
313	C₄×C₂²⋊D₁₁	—	2	1	no	—
314	C₄×C₂²⋊D₁₁	—	2	1	no	—
315	C₄×C₂²⋊D₁₁	—	2	1	no	—
316	C₄×C₂²⋊D₁₁	D₄	1	1	yes	characteristic
317	C₄×C₂²⋊D₁₁	D₄	1	1	yes	characteristic
318	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
319	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
320	C₂×(C₂×D₁₁)⋊C₄	—	2	1	no	—
321	#66979	—	2	1	no	—
322	#66979	D₄	1	1	yes	characteristic
323	#66977	—	2	1	no	—
324	#66977	—	2	1	no	—
325	#66977	—	2	1	no	—
326	#66977	C₂³	1	1	yes	characteristic
327	#66977	C₂³	1	1	yes	characteristic
328	C₂×Dic₁₁⋊C₄	—	2	1	no	—
329	C₂×C₄×Dic₁₁	—	2	1	no	—
330	#66969	—	4	2	no	—
331	SD₁₆×D₁₁	—	4	2	no	—
332	#66965	—	4	2	no	—
333	D₈×D₁₁	—	4	2	no	—
334	C₂×Dic₄₄	C₂³	1	1	yes	characteristic
335	C₂×D₈₈	C₂³	1	1	yes	characteristic
336	C₂×#4314	C₂³	1	1	yes	characteristic
337	C₂×#4314	C₂³	1	1	yes	characteristic
338	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
339	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
340	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
341	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
342	#66951	—	2	1	no	—
343	#66950	C₂³	1	1	yes	characteristic
344	#66949	—	2	1	no	—
345	#66948	C₂³	1	1	yes	characteristic
346	#66947	—	2	1	no	—
347	#66946	C₂³	1	1	yes	characteristic
348	#66945	C₂³	1	1	yes	characteristic
349	C₄⋊C₄×D₁₁	C₂³	1	1	yes	characteristic
350	#66943	C₂³	1	1	yes	characteristic
351	#66942	—	2	1	no	—
352	#66941	C₂³	1	1	yes	characteristic
353	#66940	C₂³	1	1	yes	characteristic
354	#66939	—	2	1	no	—
355	#66939	—	2	1	no	—
356	#66938	—	2	1	no	—
357	#66938	—	2	1	no	—
358	#66938	—	2	1	no	—
359	#66938	—	2	1	no	—
360	#66938	—	2	1	no	—
361	#66938	—	2	1	no	—
362	#66937	—	2	1	no	—
363	#66937	—	2	1	no	—
364	#66937	—	2	1	no	—
365	#66937	—	2	1	no	—
366	#66937	—	2	1	no	—
367	#66937	—	2	1	no	—
368	#66936	—	2	1	no	—
369	#66936	—	2	1	no	—
370	#66936	—	2	1	no	—
371	#66936	—	2	1	no	—
372	#66936	—	2	1	no	—
373	#66936	—	2	1	no	—
374	#66935	—	2	1	no	—
375	#66935	—	2	1	no	—
376	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
377	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
378	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
379	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
380	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
381	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
382	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
383	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
384	C₂²⋊C₄×D₁₁	—	2	1	no	—
385	C₂²⋊C₄×D₁₁	—	2	1	no	—
386	C₂²⋊C₄×D₁₁	—	2	1	no	—
387	C₂²⋊C₄×D₁₁	—	2	1	no	—
388	#66932	—	2	1	no	—
389	#66932	—	2	1	no	—
390	#66932	—	2	1	no	—
391	#66932	—	2	1	no	—
392	#66932	—	2	1	no	—
393	#66932	—	2	1	no	—
394	#66931	—	2	1	no	—
395	#66931	—	2	1	no	—
396	#66931	—	2	1	no	—
397	#66931	—	2	1	no	—
398	#66930	—	2	1	no	—
399	#66930	—	2	1	no	—
400	#66930	—	2	1	no	—
401	#66930	—	2	1	no	—
402	#66929	—	2	1	no	—
403	#66929	—	2	1	no	—
404	#66928	C₂³	1	1	yes	characteristic
405	#66928	C₂³	1	1	yes	characteristic
406	C₄×D₄₄	D₄	1	1	yes	characteristic
407	C₄×D₄₄	C₂³	1	1	yes	characteristic
408	C₄×D₄₄	C₂³	1	1	yes	characteristic
409	C₄×D₄₄	C₂³	1	1	yes	characteristic
410	#66925	—	2	1	no	—
411	#66925	—	2	1	no	—
412	#66925	D₄	1	1	yes	characteristic
413	#66925	D₄	1	1	yes	characteristic
414	C₄²×D₁₁	C₂³	1	1	yes	characteristic
415	C₄²×D₁₁	C₂³	1	1	yes	characteristic
416	#66923	C₂³	1	1	yes	characteristic
417	#66923	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₂	D₄	1	1	yes	characteristic
419	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
420	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
421	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
422	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₁×#103	C₂³	1	1	yes	characteristic
427	C₁₁×#103	C₂³	1	1	yes	characteristic
428	C₁₁×#103	C₂³	1	1	yes	characteristic
429	C₁₁×#103	C₂³	1	1	yes	characteristic
430	C₁₁×#102	C₂³	1	1	yes	characteristic
431	C₁₁×#102	C₂³	1	1	yes	characteristic
432	C₁₁×#102	C₂³	1	1	yes	characteristic
433	C₁₁×#102	C₂³	1	1	yes	characteristic
434	#66899	C₂³	1	1	yes	characteristic
435	#66899	C₂³	1	1	yes	characteristic
436	#66899	C₂³	1	1	yes	characteristic
437	#66899	C₂³	1	1	yes	characteristic
438	#66896	C₂³	1	1	yes	characteristic
439	#66896	C₂³	1	1	yes	characteristic
440	#66896	C₂³	1	1	yes	characteristic
441	#66896	C₂³	1	1	yes	characteristic
442	#66896	C₂³	1	1	yes	characteristic
443	#66896	C₂³	1	1	yes	characteristic
444	#66896	C₂³	1	1	yes	characteristic
445	#66896	C₂³	1	1	yes	characteristic
446	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
447	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
448	#66885	C₂³	1	1	yes	characteristic
449	#66885	C₂³	1	1	yes	characteristic
450	#66885	C₂³	1	1	yes	characteristic
451	#66885	C₂³	1	1	yes	characteristic
452	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
453	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
454	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
455	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
456	#66882	C₂³	1	1	yes	characteristic
457	#66882	C₂³	1	1	yes	characteristic
458	#66881	C₂³	1	1	yes	characteristic
459	#66881	C₂³	1	1	yes	characteristic
460	#66880	C₂³	1	1	yes	characteristic
461	#66880	C₂³	1	1	yes	characteristic
462	#66880	C₂³	1	1	yes	characteristic
463	#66880	C₂³	1	1	yes	characteristic
464	Dic₁₁⋊C₈	C₂³	1	1	yes	characteristic
465	Dic₁₁⋊C₈	C₂³	1	1	yes	characteristic
466	Dic₁₁⋊C₈	C₂³	1	1	yes	characteristic
467	Dic₁₁⋊C₈	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
469	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
470	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
472	#66874	C₂³	1	1	yes	characteristic
473	#66874	C₂³	1	1	yes	characteristic
474	#66873	C₂³	1	1	yes	characteristic
475	#66873	C₂³	1	1	yes	characteristic
476	#66872	C₂³	1	1	yes	characteristic
477	#66872	C₂³	1	1	yes	characteristic
478	#66871	C₂³	1	1	yes	characteristic
479	#66871	C₂³	1	1	yes	characteristic
480	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
481	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
482	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
483	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
484	#61955	—	11	1	no	maximal, Sylow
485	C₂⁴×C₁₁	—	2	1	no	—
486	C₂⁴×C₁₁	—	2	1	no	—
487	C₂³×D₁₁	—	2	1	no	—
488	C₂³×D₁₁	—	2	1	no	—
489	C₂×Q₈×C₁₁	—	2	1	no	—
490	C₂×Q₈×C₁₁	—	4	1	no	—
491	C₂×Q₈×C₁₁	—	4	1	no	—
492	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
494	C₂×D₄×C₁₁	—	2	2	no	—
495	C₂×D₄×C₁₁	—	2	1	no	—
496	C₂×D₄×C₁₁	—	2	1	no	—
497	C₂×D₄×C₁₁	—	4	1	no	—
498	C₂×D₄×C₁₁	—	4	1	no	—
499	C₂×D₄×C₁₁	—	4	1	no	—
500	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₁₁	—	2	1	no	—
505	C₂²×C₄×C₁₁	—	2	1	no	—
506	C₂²×C₄×C₁₁	—	2	1	no	—
507	C₂²×C₄×C₁₁	—	2	1	no	—
508	C₂²×C₄×C₁₁	—	2	1	no	—
509	C₂²×C₄×C₁₁	—	2	1	no	—
510	C₂²×C₄×C₁₁	—	8	2	no	—
511	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
512	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
513	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
514	C₂×C₂²⋊D₁₁	—	2	1	no	—
515	C₂×C₂²⋊D₁₁	—	2	1	no	—
516	C₂×C₂²⋊D₁₁	—	2	1	no	—
517	C₂×C₂²⋊D₁₁	—	2	1	no	—
518	C₂×C₂²⋊D₁₁	—	2	1	no	—
519	C₂×C₂²⋊D₁₁	—	2	1	no	—
520	C₂×C₂²⋊D₁₁	—	2	1	no	—
521	C₂×C₂²⋊D₁₁	—	2	1	no	—
522	C₂×C₂²⋊D₁₁	—	2	1	no	—
523	C₂×C₂²⋊D₁₁	—	2	1	no	—
524	C₂×C₂²⋊D₁₁	—	2	1	no	—
525	C₂×C₂²⋊D₁₁	—	2	1	no	—
526	C₂×C₂²⋊D₁₁	—	2	1	no	—
527	C₂×C₂²⋊D₁₁	—	2	1	no	—
528	C₂×C₂²⋊D₁₁	—	4	4	no	—
529	C₂×C₂²⋊D₁₁	—	4	4	no	—
530	C₂×C₂²⋊D₁₁	C₂×D₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₁₁	C₂×D₄	1	1	yes	characteristic
532	C₂²×Dic₁₁	—	2	1	no	—
533	C₂²×Dic₁₁	—	2	1	no	—
534	C₂²×Dic₁₁	—	2	1	no	—
535	C₂²×Dic₁₁	—	2	1	no	—
536	C₂²×Dic₁₁	—	2	1	no	—
537	C₂²×Dic₁₁	—	2	1	no	—
538	#4343	—	4	1	no	—
539	#4343	—	4	1	no	—
540	Q₈×D₁₁	—	4	1	no	—
541	Q₈×D₁₁	—	4	1	no	—
542	#4341	—	2	2	no	—
543	#4341	—	4	1	no	—
544	#4341	—	4	1	no	—
545	#4341	—	4	1	no	—
546	D₄×D₁₁	—	2	2	no	—
547	D₄×D₁₁	—	4	1	no	—
548	D₄×D₁₁	—	4	1	no	—
549	D₄×D₁₁	—	4	1	no	—
550	#4339	—	2	4	no	—
551	#4339	—	8	2	no	—
552	C₂×D₄₄	—	2	1	no	—
553	C₂×D₄₄	—	2	1	no	—
554	C₂×D₄₄	C₂×D₄	1	1	yes	characteristic
555	C₂×D₄₄	C₂⁴	1	1	yes	characteristic
556	C₂×D₄₄	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₁₁	—	2	1	no	—
558	C₂×C₄×D₁₁	—	2	1	no	—
559	C₂×C₄×D₁₁	—	2	1	no	—
560	C₂×C₄×D₁₁	—	2	1	no	—
561	C₂×C₄×D₁₁	—	2	1	no	—
562	C₂×C₄×D₁₁	—	2	1	no	—
563	C₂×C₄×D₁₁	—	8	2	no	—
564	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₂₂	—	2	1	no	—
571	C₂×Dic₂₂	—	2	1	no	—
572	C₂×Dic₂₂	C₂×D₄	1	1	yes	characteristic
573	C₂×Dic₂₂	C₂⁴	1	1	yes	characteristic
574	C₂×Dic₂₂	C₂⁴	1	1	yes	characteristic
575	C₁₁×SD₁₆	—	2	2	no	—
576	C₁₁×SD₁₆	—	2	2	no	—
577	C₁₁×SD₁₆	—	4	1	no	—
578	C₁₁×SD₁₆	—	4	1	no	—
579	C₁₁×D₈	—	2	2	no	—
580	C₁₁×D₈	—	2	2	no	—
581	C₁₁×D₈	—	4	1	no	—
582	C₁₁×D₈	—	4	1	no	—
583	C₂×C₈×C₁₁	—	4	1	no	—
584	C₂×C₈×C₁₁	—	4	1	no	—
585	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
589	C₁₁×C₄⋊C₄	—	2	1	no	—
590	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₁₁×C₂²⋊C₄	—	2	1	no	—
593	C₁₁×C₂²⋊C₄	—	2	1	no	—
594	C₁₁×C₂²⋊C₄	—	2	1	no	—
595	C₁₁×C₂²⋊C₄	—	2	1	no	—
596	C₁₁×C₂²⋊C₄	—	2	1	no	—
597	C₁₁×C₂²⋊C₄	—	2	1	no	—
598	C₁₁×C₂²⋊C₄	—	2	1	no	—
599	C₁₁×C₂²⋊C₄	—	2	1	no	—
600	C₁₁×C₂²⋊C₄	—	2	1	no	—
601	C₁₁×C₂²⋊C₄	—	2	1	no	—
602	C₁₁×C₂²⋊C₄	—	2	1	no	—
603	C₁₁×C₂²⋊C₄	—	2	1	no	—
604	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
605	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
606	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
607	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
608	C₂²⋊Dic₁₁	—	2	1	no	—
609	C₂²⋊Dic₁₁	—	2	1	no	—
610	C₂²⋊Dic₁₁	—	2	1	no	—
611	C₂²⋊Dic₁₁	—	2	1	no	—
612	C₂²⋊Dic₁₁	—	2	1	no	—
613	C₂²⋊Dic₁₁	—	2	1	no	—
614	C₂²⋊Dic₁₁	—	2	1	no	—
615	C₂²⋊Dic₁₁	—	2	1	no	—
616	C₂²⋊Dic₁₁	—	2	1	no	—
617	C₂²⋊Dic₁₁	—	2	1	no	—
618	C₂²⋊Dic₁₁	—	2	1	no	—
619	C₂²⋊Dic₁₁	—	2	1	no	—
620	C₂²⋊Dic₁₁	—	2	1	no	—
621	C₂²⋊Dic₁₁	—	2	1	no	—
622	C₂²⋊Dic₁₁	C₂×D₄	1	1	yes	characteristic
623	C₂²⋊Dic₁₁	C₂×D₄	1	1	yes	characteristic
624	#4326	—	4	1	no	—
625	#4326	—	4	1	no	—
626	#4325	—	4	1	no	—
627	#4325	—	4	1	no	—
628	#4324	—	2	2	no	—
629	#4324	—	4	1	no	—
630	#4324	—	4	1	no	—
631	#4324	—	4	1	no	—
632	#4323	—	2	2	no	—
633	#4323	—	4	1	no	—
634	#4323	—	4	1	no	—
635	#4323	—	4	1	no	—
636	(C₂×D₁₁)⋊C₄	—	2	1	no	—
637	(C₂×D₁₁)⋊C₄	—	2	1	no	—
638	(C₂×D₁₁)⋊C₄	—	2	1	no	—
639	(C₂×D₁₁)⋊C₄	—	2	1	no	—
640	(C₂×D₁₁)⋊C₄	—	2	1	no	—
641	(C₂×D₁₁)⋊C₄	—	2	1	no	—
642	(C₂×D₁₁)⋊C₄	—	2	1	no	—
643	(C₂×D₁₁)⋊C₄	—	2	1	no	—
644	(C₂×D₁₁)⋊C₄	—	2	1	no	—
645	(C₂×D₁₁)⋊C₄	—	2	1	no	—
646	(C₂×D₁₁)⋊C₄	—	2	1	no	—
647	(C₂×D₁₁)⋊C₄	—	2	1	no	—
648	(C₂×D₁₁)⋊C₄	—	2	1	no	—
649	(C₂×D₁₁)⋊C₄	—	2	1	no	—
650	(C₂×D₁₁)⋊C₄	—	2	1	no	—
651	(C₂×D₁₁)⋊C₄	—	2	1	no	—
652	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
653	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
654	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
655	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₁₁	—	2	1	no	—
657	C₄⋊Dic₁₁	—	2	1	no	—
658	C₄⋊Dic₁₁	—	2	1	no	—
659	C₄⋊Dic₁₁	—	2	1	no	—
660	C₄⋊Dic₁₁	C₂×D₄	1	1	yes	characteristic
661	C₄⋊Dic₁₁	C₂×D₄	1	1	yes	characteristic
662	C₄⋊Dic₁₁	C₂⁴	1	1	yes	characteristic
663	C₄⋊Dic₁₁	C₂⁴	1	1	yes	characteristic
664	C₄⋊Dic₁₁	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₁₁	C₂⁴	1	1	yes	characteristic
666	Dic₁₁⋊C₄	—	2	1	no	—
667	Dic₁₁⋊C₄	—	2	1	no	—
668	Dic₁₁⋊C₄	—	2	1	no	—
669	Dic₁₁⋊C₄	—	2	1	no	—
670	Dic₁₁⋊C₄	—	2	1	no	—
671	Dic₁₁⋊C₄	—	2	1	no	—
672	Dic₁₁⋊C₄	—	2	1	no	—
673	Dic₁₁⋊C₄	—	2	1	no	—
674	Dic₁₁⋊C₄	—	2	1	no	—
675	Dic₁₁⋊C₄	—	2	1	no	—
676	Dic₁₁⋊C₄	—	2	1	no	—
677	Dic₁₁⋊C₄	—	2	1	no	—
678	Dic₁₁⋊C₄	—	2	1	no	—
679	Dic₁₁⋊C₄	—	2	1	no	—
680	Dic₁₁⋊C₄	—	2	1	no	—
681	Dic₁₁⋊C₄	—	2	1	no	—
682	Dic₁₁⋊C₄	C₂×D₄	1	1	yes	characteristic
683	Dic₁₁⋊C₄	C₂×D₄	1	1	yes	characteristic
684	Dic₁₁⋊C₄	C₂×D₄	1	1	yes	characteristic
685	Dic₁₁⋊C₄	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₁₁	—	2	1	no	—
687	C₄×Dic₁₁	—	2	1	no	—
688	C₄×Dic₁₁	—	2	1	no	—
689	C₄×Dic₁₁	—	2	1	no	—
690	C₄×Dic₁₁	—	2	1	no	—
691	C₄×Dic₁₁	—	2	1	no	—
692	C₄×Dic₁₁	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₁	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₁₁	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₁₁	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
697	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
698	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
699	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
700	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
701	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
702	Dic₄₄	—	4	1	no	—
703	D₈₈	—	4	1	no	—
704	#4314	—	4	1	no	—
705	#4314	—	4	1	no	—
706	C₈×D₁₁	—	4	1	no	—
707	C₈×D₁₁	—	4	1	no	—
708	C₈×D₁₁	—	4	1	no	—
709	C₈×D₁₁	—	4	1	no	—
710	#3514	—	11	1	no	—
711	#3481	—	11	1	no	—
712	#3396	—	11	1	no	—
713	#3394	—	11	1	no	—
714	#3361	—	11	1	no	—
715	#3360	—	11	1	no	—
716	#3301	—	11	1	no	—
717	#3301	—	11	1	no	—
718	#3299	—	11	1	no	—
719	#3297	—	11	1	no	—
720	#3297	—	11	1	no	—
721	#3295	—	11	1	no	—
722	#3282	—	11	1	no	—
723	#3282	—	11	1	no	—
724	D₄×SD₁₆	—	11	1	no	—
725	#3280	—	11	1	no	—
726	#3280	—	11	1	no	—
727	D₄×D₈	—	11	1	no	—
728	#3250	—	11	1	no	—
729	#3250	—	11	1	no	—
730	#3247	—	11	1	no	—
731	#3211	—	11	1	no	—
732	#3211	—	11	1	no	—
733	#3207	—	11	1	no	—
734	#3105	—	11	1	no	—
735	#3105	—	11	1	no	—
736	#3102	—	11	1	no	—
737	#3035	—	11	1	no	—
738	C₂×#463	—	11	1	no	—
739	C₂×#463	D₁₁	1	1	yes	characteristic, complemented
740	#2988	—	11	1	no	—
741	C₂³×C₁₁	—	2	1	no	—
742	C₂³×C₁₁	—	2	1	no	—
743	C₂³×C₁₁	—	2	1	no	—
744	C₂³×C₁₁	—	2	1	no	—
745	C₂³×C₁₁	—	4	2	no	—
746	C₂³×C₁₁	—	4	2	no	—
747	C₂³×C₁₁	—	4	2	no	—
748	C₂³×C₁₁	—	8	1	no	—
749	C₂³×C₁₁	—	8	1	no	—
750	C₂³×C₁₁	—	8	1	no	—
751	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
752	C₂²×D₁₁	—	2	1	no	—
753	C₂²×D₁₁	—	2	1	no	—
754	C₂²×D₁₁	—	4	2	no	—
755	C₂²×D₁₁	—	4	2	no	—
756	C₂²×D₁₁	—	4	2	no	—
757	C₂²×D₁₁	—	8	1	no	—
758	C₂²×D₁₁	—	8	1	no	—
759	C₂²×D₁₁	—	8	1	no	—
760	C₂²×D₁₁	C₂²×D₄	1	1	yes	characteristic
761	C₂²×D₁₁	C₂²×D₄	1	1	yes	characteristic
762	Q₈×C₁₁	—	2	1	no	—
763	Q₈×C₁₁	—	2	1	no	—
764	Q₈×C₁₁	—	2	1	no	—
765	Q₈×C₁₁	—	2	1	no	—
766	Q₈×C₁₁	—	8	1	no	—
767	D₄×C₁₁	—	2	1	no	—
768	D₄×C₁₁	—	2	1	no	—
769	D₄×C₁₁	—	2	1	no	—
770	D₄×C₁₁	—	2	1	no	—
771	D₄×C₁₁	—	2	1	no	—
772	D₄×C₁₁	—	2	1	no	—
773	D₄×C₁₁	—	2	1	no	—
774	D₄×C₁₁	—	4	2	no	—
775	D₄×C₁₁	—	8	1	no	—
776	D₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
777	C₂×C₄×C₁₁	—	2	2	no	—
778	C₂×C₄×C₁₁	—	2	1	no	—
779	C₂×C₄×C₁₁	—	2	1	no	—
780	C₂×C₄×C₁₁	—	2	1	no	—
781	C₂×C₄×C₁₁	—	2	1	no	—
782	C₂×C₄×C₁₁	—	2	1	no	—
783	C₂×C₄×C₁₁	—	2	1	no	—
784	C₂×C₄×C₁₁	—	4	1	no	—
785	C₂×C₄×C₁₁	—	4	2	no	—
786	C₂×C₄×C₁₁	—	4	2	no	—
787	C₂×C₄×C₁₁	—	8	1	no	—
788	C₂×C₄×C₁₁	—	8	1	no	—
789	C₂×C₄×C₁₁	—	8	1	no	—
790	C₂×C₄×C₁₁	—	8	1	no	—
791	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
797	C₂²⋊D₁₁	—	2	2	no	—
798	C₂²⋊D₁₁	—	4	2	no	—
799	C₂²⋊D₁₁	—	4	2	no	—
800	C₂²⋊D₁₁	—	4	2	no	—
801	C₂²⋊D₁₁	—	4	2	no	—
802	C₂²⋊D₁₁	—	4	2	no	—
803	C₂²⋊D₁₁	—	4	2	no	—
804	C₂²⋊D₁₁	—	4	2	no	—
805	C₂²⋊D₁₁	—	4	2	no	—
806	C₂²⋊D₁₁	—	8	1	no	—
807	C₂²⋊D₁₁	—	8	1	no	—
808	C₂²⋊D₁₁	—	8	1	no	—
809	C₂²⋊D₁₁	—	8	1	no	—
810	C₂²⋊D₁₁	—	8	1	no	—
811	C₂²⋊D₁₁	—	8	1	no	—
812	C₂²⋊D₁₁	#135	1	4	yes	complemented
813	C₂×Dic₁₁	—	2	1	no	—
814	C₂×Dic₁₁	—	2	1	no	—
815	C₂×Dic₁₁	—	2	1	no	—
816	C₂×Dic₁₁	—	2	1	no	—
817	C₂×Dic₁₁	—	2	1	no	—
818	C₂×Dic₁₁	—	2	1	no	—
819	C₂×Dic₁₁	—	4	2	no	—
820	C₂×Dic₁₁	—	4	2	no	—
821	C₂×Dic₁₁	—	4	2	no	—
822	C₂×Dic₁₁	—	8	1	no	—
823	C₂×Dic₁₁	—	8	1	no	—
824	C₂×Dic₁₁	—	8	1	no	—
825	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
826	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
827	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
828	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
829	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
830	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
831	D₄₄	—	2	2	no	—
832	D₄₄	—	2	1	no	—
833	D₄₄	—	2	1	no	—
834	D₄₄	—	2	1	no	—
835	D₄₄	—	2	1	no	—
836	D₄₄	—	8	1	no	—
837	D₄₄	—	8	1	no	—
838	C₄×D₁₁	—	2	2	no	—
839	C₄×D₁₁	—	2	1	no	—
840	C₄×D₁₁	—	2	1	no	—
841	C₄×D₁₁	—	2	1	no	—
842	C₄×D₁₁	—	2	1	no	—
843	C₄×D₁₁	—	2	2	no	—
844	C₄×D₁₁	—	4	1	no	—
845	C₄×D₁₁	—	4	1	no	—
846	C₄×D₁₁	—	4	2	no	—
847	C₄×D₁₁	—	8	1	no	—
848	C₄×D₁₁	—	8	1	no	—
849	C₄×D₁₁	—	8	1	no	—
850	C₄×D₁₁	—	8	1	no	—
851	C₄×D₁₁	—	8	1	no	—
852	Dic₂₂	—	2	2	no	—
853	Dic₂₂	—	2	1	no	—
854	Dic₂₂	—	2	1	no	—
855	Dic₂₂	—	2	1	no	—
856	Dic₂₂	—	2	1	no	—
857	Dic₂₂	—	8	1	no	—
858	Dic₂₂	—	8	1	no	—
859	C₈×C₁₁	—	2	1	no	—
860	C₈×C₁₁	—	2	1	no	—
861	C₈×C₁₁	—	2	1	no	—
862	C₈×C₁₁	—	2	1	no	—
863	C₁₁⋊C₈	—	2	1	no	—
864	C₁₁⋊C₈	—	2	1	no	—
865	C₁₁⋊C₈	—	2	1	no	—
866	C₁₁⋊C₈	—	2	1	no	—
867	C₂×#135	—	11	1	no	—
868	C₂×#135	—	11	1	no	—
869	C₂²×SD₁₆	—	11	1	no	—
870	C₂²×SD₁₆	C₂×D₁₁	1	1	yes	characteristic, complemented
871	C₂²×D₈	—	11	1	no	—
872	C₂²×D₈	C₂×D₁₁	1	1	yes	characteristic
873	#559	—	11	1	no	—
874	#559	—	11	1	no	—
875	#556	—	11	1	no	—
876	#555	—	22	1	no	—
877	#554	—	11	1	no	—
878	#554	—	11	1	no	—
879	#553	—	11	1	no	—
880	#553	—	11	1	no	—
881	#553	—	22	1	no	—
882	#551	—	22	1	no	—
883	#551	—	22	1	no	—
884	#551	—	22	1	no	—
885	#551	—	22	1	no	—
886	D₄×Q₈	—	11	1	no	—
887	#548	—	11	1	no	—
888	#548	—	11	1	no	—
889	#546	—	11	1	no	—
890	#546	—	11	1	no	—
891	#546	—	11	1	no	—
892	#546	—	11	1	no	—
893	#546	—	22	1	no	—
894	#546	—	22	1	no	—
895	D₄²	—	11	1	no	—
896	D₄²	—	11	1	no	—
897	#542	—	22	1	no	—
898	#538	—	22	1	no	—
899	#538	—	22	1	no	—
900	#532	—	11	1	no	—
901	#532	—	11	1	no	—
902	#529	—	11	1	no	—
903	#529	—	11	1	no	—
904	#529	—	11	1	no	—
905	#529	—	11	1	no	—
906	#529	—	11	1	no	—
907	#529	—	22	1	no	—
908	C₂×#124	—	11	1	no	—
909	C₂×#124	C₂×D₁₁	1	1	yes	characteristic, complemented
910	#525	—	22	1	no	—
911	#525	—	22	1	no	—
912	#518	—	22	1	no	—
913	C₄×#41	—	11	1	no	—
914	C₄×#41	—	11	1	no	—
915	C₂×C₄×D₄	—	11	1	no	—
916	C₂×C₄×D₄	—	22	1	no	—
917	C₂×C₄×D₄	C₂×D₁₁	1	1	yes	characteristic, complemented
918	#495	—	11	1	no	—
919	#495	—	11	1	no	—
920	#495	—	11	1	no	—
921	#495	—	11	1	no	—
922	#493	—	11	1	no	—
923	#492	—	11	1	no	—
924	#488	—	11	1	no	—
925	#488	—	11	1	no	—
926	#488	—	11	1	no	—
927	#488	—	11	1	no	—
928	#487	—	11	1	no	—
929	#486	—	11	1	no	—
930	#485	—	11	1	no	—
931	#484	—	11	1	no	—
932	#484	—	11	1	no	—
933	#482	—	11	1	no	—
934	#481	—	11	1	no	—
935	#481	—	11	1	no	—
936	#479	—	11	1	no	—
937	#479	—	11	1	no	—
938	#479	—	11	1	no	—
939	#478	—	11	1	no	—
940	#478	—	11	1	no	—
941	#478	—	11	1	no	—
942	#478	—	11	1	no	—
943	#478	—	11	1	no	—
944	#477	—	11	1	no	—
945	#476	—	11	1	no	—
946	#467	—	11	1	no	—
947	#467	—	11	1	no	—
948	#466	—	11	1	no	—
949	#466	—	11	1	no	—
950	#466	—	11	1	no	—
951	#466	—	11	1	no	—
952	#465	—	11	1	no	—
953	#465	—	11	1	no	—
954	#465	—	11	1	no	—
955	#465	—	11	1	no	—
956	#465	—	11	1	no	—
957	#465	—	11	1	no	—
958	#464	—	11	1	no	—
959	#464	—	11	1	no	—
960	#464	—	11	1	no	—
961	#464	—	11	1	no	—
962	#464	—	11	1	no	—
963	#463	—	11	1	no	—
964	#463	—	11	1	no	—
965	#463	—	11	1	no	—
966	#463	—	11	1	no	—
967	#463	—	11	1	no	—
968	#463	—	11	1	no	—
969	#463	—	11	1	no	—
970	#463	—	11	1	no	—
971	#463	—	11	1	no	—
972	#463	—	11	1	no	—
973	#463	—	11	1	no	—
974	#463	C₂×D₁₁	1	1	yes	characteristic
975	#463	C₂×D₁₁	1	1	yes	characteristic
976	#463	C₂×D₁₁	1	1	yes	characteristic, complemented
977	#463	C₂×D₁₁	1	1	yes	characteristic, complemented
978	#463	C₂×D₁₁	1	1	yes	characteristic, complemented
979	#463	C₂×D₁₁	1	1	yes	characteristic, complemented
980	#463	C₂×D₁₁	1	1	yes	characteristic, complemented
981	#463	C₂×D₁₁	1	1	yes	characteristic, complemented
982	#462	—	11	1	no	—
983	#461	—	11	1	no	—
984	#460	—	11	1	no	—
985	#460	—	11	1	no	—
986	#459	—	11	1	no	—
987	#459	—	11	1	no	—
988	#452	—	11	1	no	—
989	#451	—	11	1	no	—
990	#451	—	11	1	no	—
991	#450	—	11	1	no	—
992	#450	—	11	1	no	—
993	#450	—	11	1	no	—
994	#450	—	11	1	no	—
995	#449	—	11	1	no	—
996	#449	—	11	1	no	—
997	#449	—	11	1	no	—
998	#449	—	11	1	no	—
999	#449	—	11	1	no	—
1000	#448	—	11	1	no	—
1001	#448	—	11	1	no	—
1002	#447	—	11	1	no	—
1003	#447	—	11	1	no	—
1004	#447	—	11	1	no	—
1005	#447	—	11	1	no	—
1006	C₈×Q₈	—	11	1	no	—
1007	C₈×Q₈	—	11	1	no	—
1008	C₄×Q₁₆	—	11	1	no	—
1009	C₄×SD₁₆	—	11	1	no	—
1010	C₄×SD₁₆	—	11	1	no	—
1011	C₄×SD₁₆	—	11	1	no	—
1012	C₄×SD₁₆	—	11	1	no	—
1013	C₄×SD₁₆	—	11	1	no	—
1014	C₄×SD₁₆	—	11	1	no	—
1015	C₄×D₈	—	11	1	no	—
1016	C₄×D₈	—	11	1	no	—
1017	C₄×D₈	—	11	1	no	—
1018	C₄×D₈	—	11	1	no	—
1019	C₄×D₈	—	11	1	no	—
1020	C₈×D₄	—	11	1	no	—
1021	C₈×D₄	—	11	1	no	—
1022	C₈×D₄	—	11	1	no	—
1023	C₈×D₄	—	11	1	no	—
1024	C₈×D₄	—	11	1	no	—
1025	C₈×D₄	—	11	1	no	—
1026	#431	—	11	1	no	—
1027	#431	—	11	1	no	—
1028	#431	—	11	1	no	—
1029	C₂×C₄⋊C₈	—	11	1	no	—
1030	C₂×C₄⋊C₈	—	11	1	no	—
1031	C₂×C₄⋊C₈	C₂×D₁₁	1	1	yes	characteristic, complemented
1032	#416	—	11	1	no	—
1033	#416	—	11	1	no	—
1034	C₂×#103	—	11	1	no	—
1035	C₂×#103	C₂×D₁₁	1	1	yes	characteristic, complemented
1036	C₂×#102	—	11	1	no	—
1037	C₂×#102	C₂×D₁₁	1	1	yes	characteristic, complemented
1038	C₂²×C₁₁	—	2	1	no	—
1039	C₂²×C₁₁	—	2	1	no	—
1040	C₂²×C₁₁	—	2	2	no	—
1041	C₂²×C₁₁	—	4	1	no	—
1042	C₂²×C₁₁	—	4	1	no	—
1043	C₂²×C₁₁	—	4	1	no	—
1044	C₂²×C₁₁	—	4	1	no	—
1045	C₂²×C₁₁	—	4	1	no	—
1046	C₂²×C₁₁	—	4	1	no	—
1047	C₂²×C₁₁	—	4	1	no	—
1048	C₂²×C₁₁	—	4	1	no	—
1049	C₂²×C₁₁	—	4	1	no	—
1050	C₂²×C₁₁	—	4	1	no	—
1051	C₂²×C₁₁	—	4	1	no	—
1052	C₂²×C₁₁	—	8	4	no	—
1053	C₂²×C₁₁	—	16	2	no	—
1054	C₂²×C₁₁	C₂×#135	1	2	yes	—
1055	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
1056	C₂×D₁₁	—	2	1	no	—
1057	C₂×D₁₁	—	2	1	no	—
1058	C₂×D₁₁	—	2	1	no	—
1059	C₂×D₁₁	—	2	1	no	—
1060	C₂×D₁₁	—	2	1	no	—
1061	C₂×D₁₁	—	4	1	no	—
1062	C₂×D₁₁	—	4	1	no	—
1063	C₂×D₁₁	—	4	1	no	—
1064	C₂×D₁₁	—	4	1	no	—
1065	C₂×D₁₁	—	4	1	no	—
1066	C₂×D₁₁	—	4	1	no	—
1067	C₂×D₁₁	—	8	4	no	—
1068	C₂×D₁₁	—	16	2	no	—
1069	C₂×D₁₁	C₂×#135	1	2	yes	—
1070	C₄×C₁₁	—	2	1	no	—
1071	C₄×C₁₁	—	2	1	no	—
1072	C₄×C₁₁	—	2	1	no	—
1073	C₄×C₁₁	—	2	1	no	—
1074	C₄×C₁₁	—	2	1	no	—
1075	C₄×C₁₁	—	4	1	no	—
1076	C₄×C₁₁	—	4	1	no	—
1077	C₄×C₁₁	—	4	1	no	—
1078	C₄×C₁₁	—	4	1	no	—
1079	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1080	C₄×C₁₁	#585	1	1	yes	characteristic
1081	Dic₁₁	—	2	1	no	—
1082	Dic₁₁	—	2	1	no	—
1083	Dic₁₁	—	2	1	no	—
1084	Dic₁₁	—	2	1	no	—
1085	Dic₁₁	—	2	1	no	—
1086	Dic₁₁	—	4	1	no	—
1087	Dic₁₁	—	4	1	no	—
1088	Dic₁₁	—	4	1	no	—
1089	Dic₁₁	—	4	1	no	—
1090	Dic₁₁	—	4	1	no	—
1091	Dic₁₁	—	4	1	no	—
1092	Dic₁₁	C₂×#135	1	2	yes	—
1093	C₂×#41	—	11	1	no	—
1094	C₂×#41	—	11	1	no	—
1095	C₂×#41	—	11	1	no	—
1096	C₂×#41	—	11	1	no	—
1097	C₂×#41	—	22	1	no	—
1098	C₂²×Q₈	—	11	1	no	—
1099	C₂²×Q₈	C₂²×D₁₁	1	1	yes	characteristic
1100	C₂²×D₄	—	11	1	no	—
1101	C₂²×D₄	—	11	1	no	—
1102	C₂²×D₄	—	22	1	no	—
1103	C₂²×D₄	—	22	1	no	—
1104	C₂²×D₄	C₂²×D₁₁	1	1	yes	characteristic
1105	C₂²×D₄	C₂²×D₁₁	1	1	yes	characteristic
1106	C₂³×C₄	—	2	1	no	—
1107	C₂³×C₄	—	22	1	no	—
1108	#135	—	44	2	no	—
1109	#135	—	44	2	no	—
1110	C₂×Q₁₆	—	11	1	no	—
1111	C₂×Q₁₆	—	11	1	no	—
1112	C₂×Q₁₆	—	11	1	no	—
1113	C₂×SD₁₆	—	4	2	no	—
1114	C₂×SD₁₆	—	11	1	no	—
1115	C₂×SD₁₆	—	11	1	no	—
1116	C₂×SD₁₆	—	11	1	no	—
1117	C₂×SD₁₆	—	11	1	no	—
1118	C₂×SD₁₆	—	11	1	no	—
1119	C₂×SD₁₆	—	11	1	no	—
1120	C₂×SD₁₆	—	11	1	no	—
1121	C₂×SD₁₆	—	11	1	no	—
1122	C₂×SD₁₆	—	44	2	no	—
1123	C₂×SD₁₆	C₂²×D₁₁	1	1	yes	characteristic
1124	C₂×SD₁₆	C₂²×D₁₁	1	1	yes	characteristic
1125	C₂×SD₁₆	C₂²×D₁₁	1	1	yes	characteristic
1126	C₂×SD₁₆	C₂²×D₁₁	1	1	yes	characteristic
1127	C₂×D₈	—	4	2	no	—
1128	C₂×D₈	—	11	1	no	—
1129	C₂×D₈	—	11	1	no	—
1130	C₂×D₈	—	11	1	no	—
1131	C₂×D₈	—	11	1	no	—
1132	C₂×D₈	—	11	1	no	—
1133	C₂×D₈	—	44	2	no	—
1134	C₂×D₈	C₂²×D₁₁	1	1	yes	characteristic
1135	C₂×D₈	C₂²×D₁₁	1	1	yes	characteristic
1136	C₂×D₈	C₂²×D₁₁	1	1	yes	characteristic
1137	C₂×D₈	C₂²×D₁₁	1	1	yes	characteristic
1138	C₂²×C₈	—	11	1	no	—
1139	C₂²×C₈	—	11	1	no	—
1140	C₂²×C₈	—	11	1	no	—
1141	C₂²×C₈	—	11	1	no	—
1142	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
1143	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
1144	C₄⋊Q₈	—	11	1	no	—
1145	C₄⋊Q₈	—	11	1	no	—
1146	C₄⋊Q₈	—	22	1	no	—
1147	#127	—	11	1	no	—
1148	#127	—	11	1	no	—
1149	#126	—	22	1	no	—
1150	#126	—	22	1	no	—
1151	#126	—	22	1	no	—
1152	#126	—	22	1	no	—
1153	#126	—	22	1	no	—
1154	#126	—	22	1	no	—
1155	#126	—	22	1	no	—
1156	#126	—	22	1	no	—
1157	#126	—	22	1	no	—
1158	#125	—	11	1	no	—
1159	#125	—	11	1	no	—
1160	#125	—	11	1	no	—
1161	#125	—	22	1	no	—
1162	#124	—	2	1	no	—
1163	#124	—	2	1	no	—
1164	#124	—	11	1	no	—
1165	#124	—	11	1	no	—
1166	#124	—	11	1	no	—
1167	#124	—	11	1	no	—
1168	#124	—	11	1	no	—
1169	#124	—	22	1	no	—
1170	#124	—	22	1	no	—
1171	#124	—	22	1	no	—
1172	#124	—	22	1	no	—
1173	#124	—	22	1	no	—
1174	#124	—	22	1	no	—
1175	#124	—	22	1	no	—
1176	#124	C₂²×D₁₁	1	1	yes	characteristic
1177	#124	C₂²×D₁₁	1	1	yes	characteristic
1178	#124	C₂²×D₁₁	1	1	yes	characteristic
1179	#124	C₂²×D₁₁	1	1	yes	characteristic
1180	#123	—	22	1	no	—
1181	#123	—	22	1	no	—
1182	#123	—	22	1	no	—
1183	#123	—	22	1	no	—
1184	#123	—	22	1	no	—
1185	#123	—	22	1	no	—
1186	#123	—	22	1	no	—
1187	#123	—	22	1	no	—
1188	#123	—	22	1	no	—
1189	#123	—	22	1	no	—
1190	#123	—	22	1	no	—
1191	#123	—	22	1	no	—
1192	#123	—	22	1	no	—
1193	#123	—	22	1	no	—
1194	#123	—	22	1	no	—
1195	C₂²⋊Q₈	—	11	1	no	—
1196	C₂²⋊Q₈	—	11	1	no	—
1197	C₂²⋊Q₈	—	11	1	no	—
1198	C₂²⋊Q₈	—	11	1	no	—
1199	C₂²⋊Q₈	—	11	1	no	—
1200	C₂²⋊Q₈	—	22	1	no	—
1201	C₂²⋊Q₈	—	22	1	no	—
1202	C₂²⋊Q₈	—	22	1	no	—
1203	C₂²⋊Q₈	—	22	1	no	—
1204	C₂²⋊Q₈	—	22	1	no	—
1205	C₂²⋊Q₈	—	22	1	no	—
1206	C₂²⋊Q₈	—	22	1	no	—
1207	C₂²⋊Q₈	—	22	1	no	—
1208	C₂²⋊Q₈	—	22	1	no	—
1209	C₂²⋊Q₈	—	22	1	no	—
1210	#121	—	11	1	no	—
1211	#121	—	11	1	no	—
1212	#121	—	11	1	no	—
1213	#121	—	11	1	no	—
1214	#121	—	11	1	no	—
1215	#121	—	11	1	no	—
1216	#121	—	11	1	no	—
1217	#121	—	22	1	no	—
1218	#121	—	22	1	no	—
1219	#121	—	22	1	no	—
1220	#121	—	22	1	no	—
1221	#121	—	22	1	no	—
1222	#121	—	22	1	no	—
1223	#121	—	22	1	no	—
1224	#121	—	22	1	no	—
1225	#121	—	22	1	no	—
1226	#121	—	22	1	no	—
1227	#121	—	22	1	no	—
1228	#121	—	22	1	no	—
1229	#121	—	22	1	no	—
1230	#120	—	22	1	no	—
1231	#120	—	22	1	no	—
1232	#120	—	22	1	no	—
1233	#120	—	22	1	no	—
1234	#120	—	22	1	no	—
1235	#120	—	22	1	no	—
1236	#120	—	22	1	no	—
1237	#120	—	22	1	no	—
1238	C₄×Q₈	—	11	1	no	—
1239	C₄×Q₈	—	11	1	no	—
1240	C₄×Q₈	—	11	1	no	—
1241	C₄×Q₈	—	11	1	no	—
1242	C₄×Q₈	—	11	1	no	—
1243	C₄×Q₈	—	11	1	no	—
1244	C₄×Q₈	—	11	1	no	—
1245	C₄×D₄	—	2	1	no	—
1246	C₄×D₄	—	2	1	no	—
1247	C₄×D₄	—	11	1	no	—
1248	C₄×D₄	—	11	1	no	—
1249	C₄×D₄	—	11	1	no	—
1250	C₄×D₄	—	11	1	no	—
1251	C₄×D₄	—	11	1	no	—
1252	C₄×D₄	—	11	1	no	—
1253	C₄×D₄	—	11	1	no	—
1254	C₄×D₄	—	11	1	no	—
1255	C₄×D₄	—	11	1	no	—
1256	C₄×D₄	—	11	1	no	—
1257	C₄×D₄	—	11	1	no	—
1258	C₄×D₄	—	11	1	no	—
1259	C₄×D₄	—	11	1	no	—
1260	C₄×D₄	—	22	1	no	—
1261	C₄×D₄	—	22	1	no	—
1262	C₄×D₄	—	22	1	no	—
1263	C₄×D₄	—	22	1	no	—
1264	C₄×D₄	—	22	1	no	—
1265	C₄×D₄	—	22	1	no	—
1266	C₄×D₄	—	22	1	no	—
1267	C₄×D₄	—	22	1	no	—
1268	C₄×D₄	—	22	1	no	—
1269	C₄×D₄	—	22	1	no	—
1270	C₄×D₄	—	22	1	no	—
1271	C₄×D₄	—	22	1	no	—
1272	C₄×D₄	—	22	1	no	—
1273	C₄×D₄	—	22	1	no	—
1274	C₄×D₄	—	22	1	no	—
1275	C₄×D₄	—	22	1	no	—
1276	C₄×D₄	—	22	1	no	—
1277	C₄×D₄	—	22	1	no	—
1278	C₄×D₄	—	22	1	no	—
1279	C₄×D₄	—	22	1	no	—
1280	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1281	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1282	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1283	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1284	#117	—	11	1	no	—
1285	#117	—	11	1	no	—
1286	#117	—	11	1	no	—
1287	#117	—	11	1	no	—
1288	#117	—	22	1	no	—
1289	#117	—	22	1	no	—
1290	#117	—	22	1	no	—
1291	#117	—	22	1	no	—
1292	#117	—	22	1	no	—
1293	#117	—	22	1	no	—
1294	#117	—	22	1	no	—
1295	C₂×C₄⋊C₄	—	11	1	no	—
1296	C₂×C₄⋊C₄	—	22	1	no	—
1297	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1298	C₂×C₂²⋊C₄	—	2	1	no	—
1299	C₂×C₂²⋊C₄	—	2	1	no	—
1300	C₂×C₂²⋊C₄	—	2	1	no	—
1301	C₂×C₂²⋊C₄	—	22	1	no	—
1302	C₂×C₂²⋊C₄	—	22	1	no	—
1303	C₂×C₂²⋊C₄	—	22	1	no	—
1304	C₂×C₂²⋊C₄	—	22	1	no	—
1305	C₂×C₂²⋊C₄	—	22	1	no	—
1306	C₂×C₂²⋊C₄	—	22	1	no	—
1307	C₂×C₂²⋊C₄	—	22	1	no	—
1308	C₂×C₄²	—	11	1	no	—
1309	C₂×C₄²	—	11	1	no	—
1310	C₂×C₄²	—	22	1	no	—
1311	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1312	#107	—	11	1	no	—
1313	#107	—	11	1	no	—
1314	#107	—	11	1	no	—
1315	#107	—	11	1	no	—
1316	#106	—	11	1	no	—
1317	#106	—	11	1	no	—
1318	#106	—	11	1	no	—
1319	#106	—	11	1	no	—
1320	C₄⋊C₈	—	11	1	no	—
1321	C₄⋊C₈	—	11	1	no	—
1322	C₄⋊C₈	—	11	1	no	—
1323	C₄⋊C₈	—	11	1	no	—
1324	C₄⋊C₈	—	11	1	no	—
1325	C₄⋊C₈	—	11	1	no	—
1326	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1327	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1328	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1329	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1330	#103	—	11	1	no	—
1331	#103	—	11	1	no	—
1332	#103	—	11	1	no	—
1333	#103	—	11	1	no	—
1334	#103	—	11	1	no	—
1335	#103	—	11	1	no	—
1336	#103	—	11	1	no	—
1337	#103	—	11	1	no	—
1338	#103	—	11	1	no	—
1339	#103	—	11	1	no	—
1340	#103	C₂²×D₁₁	1	1	yes	characteristic
1341	#103	C₂²×D₁₁	1	1	yes	characteristic
1342	#103	C₂²×D₁₁	1	1	yes	characteristic
1343	#103	C₂²×D₁₁	1	1	yes	characteristic
1344	#102	—	11	1	no	—
1345	#102	—	11	1	no	—
1346	#102	—	11	1	no	—
1347	#102	—	11	1	no	—
1348	#102	—	11	1	no	—
1349	#102	—	11	1	no	—
1350	#102	—	11	1	no	—
1351	#102	—	11	1	no	—
1352	#102	—	11	1	no	—
1353	#102	—	11	1	no	—
1354	#102	—	11	1	no	—
1355	#102	—	11	1	no	—
1356	#102	—	11	1	no	—
1357	#102	—	11	1	no	—
1358	#102	C₂²×D₁₁	1	1	yes	characteristic
1359	#102	C₂²×D₁₁	1	1	yes	characteristic
1360	#102	C₂²×D₁₁	1	1	yes	characteristic
1361	#102	C₂²×D₁₁	1	1	yes	characteristic
1362	C₂²⋊C₈	—	11	1	no	—
1363	C₂²⋊C₈	—	11	1	no	—
1364	C₂²⋊C₈	—	11	1	no	—
1365	C₂²⋊C₈	—	11	1	no	—
1366	C₂²⋊C₈	—	11	1	no	—
1367	C₂²⋊C₈	—	11	1	no	—
1368	C₄×C₈	—	11	1	no	—
1369	C₄×C₈	—	11	1	no	—
1370	C₄×C₈	—	11	1	no	—
1371	C₄×C₈	—	11	1	no	—
1372	C₄×C₈	—	11	1	no	—
1373	C₄×C₈	—	11	1	no	—
1374	C₂×C₁₁	—	2	2	no	—
1375	C₂×C₁₁	—	4	2	no	—
1376	C₂×C₁₁	—	8	1	no	—
1377	C₂×C₁₁	—	8	1	no	—
1378	C₂×C₁₁	—	8	1	no	—
1379	C₂×C₁₁	#3488	1	1	yes	characteristic
1380	C₂×C₁₁	C₂²×#135	1	1	yes	characteristic
1381	C₂×C₁₁	#3585	1	1	yes	characteristic
1382	D₁₁	—	2	2	no	—
1383	D₁₁	—	4	1	no	—
1384	D₁₁	—	8	1	no	—
1385	D₁₁	—	8	1	no	—
1386	C₂⁴	—	2	1	no	—
1387	C₂⁴	—	2	1	no	—
1388	C₂⁴	—	22	1	no	—
1389	C₂⁴	—	22	1	no	—
1390	#41	—	22	4	no	—
1391	#41	—	22	2	no	—
1392	#41	—	44	1	no	—
1393	#41	—	44	1	no	—
1394	#41	—	44	1	no	—
1395	#41	—	44	1	no	—
1396	#41	—	44	1	no	—
1397	#41	—	88	2	no	—
1398	C₂×Q₈	—	2	1	no	—
1399	C₂×Q₈	—	4	1	no	—
1400	C₂×Q₈	—	4	1	no	—
1401	C₂×Q₈	—	11	1	no	—
1402	C₂×Q₈	—	11	1	no	—
1403	C₂×Q₈	—	11	1	no	—
1404	C₂×Q₈	—	22	1	no	—
1405	C₂×Q₈	—	22	1	no	—
1406	C₂×Q₈	—	44	1	no	—
1407	C₂×Q₈	—	44	1	no	—
1408	C₂×Q₈	C₂³×D₁₁	1	1	yes	characteristic
1409	C₂×Q₈	C₂³×D₁₁	1	1	yes	characteristic
1410	C₂×D₄	—	2	2	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	4	1	no	—
1414	C₂×D₄	—	4	1	no	—
1415	C₂×D₄	—	4	1	no	—
1416	C₂×D₄	—	11	1	no	—
1417	C₂×D₄	—	11	1	no	—
1418	C₂×D₄	—	11	1	no	—
1419	C₂×D₄	—	11	1	no	—
1420	C₂×D₄	—	11	1	no	—
1421	C₂×D₄	—	22	1	no	—
1422	C₂×D₄	—	22	1	no	—
1423	C₂×D₄	—	22	1	no	—
1424	C₂×D₄	—	22	1	no	—
1425	C₂×D₄	—	22	1	no	—
1426	C₂×D₄	—	22	1	no	—
1427	C₂×D₄	—	22	1	no	—
1428	C₂×D₄	—	22	1	no	—
1429	C₂×D₄	—	22	2	no	—
1430	C₂×D₄	—	22	1	no	—
1431	C₂×D₄	—	22	1	no	—
1432	C₂×D₄	—	22	1	no	—
1433	C₂×D₄	—	22	1	no	—
1434	C₂×D₄	—	22	1	no	—
1435	C₂×D₄	—	22	1	no	—
1436	C₂×D₄	—	22	1	no	—
1437	C₂×D₄	—	22	1	no	—
1438	C₂×D₄	—	44	1	no	—
1439	C₂×D₄	—	44	1	no	—
1440	C₂×D₄	—	44	1	no	—
1441	C₂×D₄	—	44	4	no	—
1442	C₂×D₄	—	44	4	no	—
1443	C₂×D₄	C₂³×D₁₁	1	1	yes	characteristic
1444	C₂×D₄	C₂³×D₁₁	1	1	yes	characteristic
1445	C₂×D₄	C₂³×D₁₁	1	1	yes	characteristic
1446	C₂×D₄	C₂³×D₁₁	1	1	yes	characteristic
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	2	1	no	—
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	2	1	no	—
1453	C₂²×C₄	—	8	2	no	—
1454	C₂²×C₄	—	11	1	no	—
1455	C₂²×C₄	—	11	1	no	—
1456	C₂²×C₄	—	11	1	no	—
1457	C₂²×C₄	—	11	1	no	—
1458	C₂²×C₄	—	11	1	no	—
1459	C₂²×C₄	—	11	1	no	—
1460	C₂²×C₄	—	22	1	no	—
1461	C₂²×C₄	—	22	1	no	—
1462	C₂²×C₄	—	22	1	no	—
1463	C₂²×C₄	—	22	1	no	—
1464	C₂²×C₄	—	22	1	no	—
1465	C₂²×C₄	—	22	1	no	—
1466	C₂²×C₄	—	22	1	no	—
1467	C₂²×C₄	—	22	1	no	—
1468	C₂²×C₄	—	22	1	no	—
1469	C₂²×C₄	—	22	1	no	—
1470	C₂²×C₄	—	22	1	no	—
1471	C₂²×C₄	—	22	1	no	—
1472	C₂²×C₄	—	88	2	no	—
1473	C₂²×C₄	D₄×D₁₁	1	1	yes	characteristic
1474	C₂²×C₄	D₄×D₁₁	1	1	yes	characteristic
1475	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1476	Q₁₆	—	44	1	no	—
1477	Q₁₆	—	44	1	no	—
1478	Q₁₆	—	44	1	no	—
1479	SD₁₆	—	2	2	no	—
1480	SD₁₆	—	2	2	no	—
1481	SD₁₆	—	4	1	no	—
1482	SD₁₆	—	4	1	no	—
1483	SD₁₆	—	22	2	no	—
1484	SD₁₆	—	44	1	no	—
1485	SD₁₆	—	44	1	no	—
1486	SD₁₆	—	44	1	no	—
1487	SD₁₆	—	44	1	no	—
1488	SD₁₆	—	44	1	no	—
1489	SD₁₆	—	44	1	no	—
1490	SD₁₆	—	44	1	no	—
1491	D₈	—	2	2	no	—
1492	D₈	—	2	2	no	—
1493	D₈	—	4	1	no	—
1494	D₈	—	4	1	no	—
1495	D₈	—	22	2	no	—
1496	D₈	—	44	1	no	—
1497	D₈	—	44	1	no	—
1498	D₈	—	44	1	no	—
1499	D₈	—	44	1	no	—
1500	C₂×C₈	—	4	1	no	—
1501	C₂×C₈	—	4	1	no	—
1502	C₂×C₈	—	11	1	no	—
1503	C₂×C₈	—	11	1	no	—
1504	C₂×C₈	—	11	1	no	—
1505	C₂×C₈	—	11	1	no	—
1506	C₂×C₈	—	44	1	no	—
1507	C₂×C₈	—	44	1	no	—
1508	C₂×C₈	—	44	1	no	—
1509	C₂×C₈	—	44	1	no	—
1510	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1511	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1512	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1513	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	11	1	no	—
1516	C₄⋊C₄	—	11	1	no	—
1517	C₄⋊C₄	—	11	1	no	—
1518	C₄⋊C₄	—	11	1	no	—
1519	C₄⋊C₄	—	11	1	no	—
1520	C₄⋊C₄	—	11	1	no	—
1521	C₄⋊C₄	—	11	1	no	—
1522	C₄⋊C₄	—	11	1	no	—
1523	C₄⋊C₄	—	11	1	no	—
1524	C₄⋊C₄	—	11	1	no	—
1525	C₄⋊C₄	—	22	1	no	—
1526	C₄⋊C₄	—	22	1	no	—
1527	C₄⋊C₄	—	22	1	no	—
1528	C₄⋊C₄	—	22	1	no	—
1529	C₄⋊C₄	—	22	1	no	—
1530	C₄⋊C₄	—	22	1	no	—
1531	C₄⋊C₄	—	22	1	no	—
1532	C₄⋊C₄	—	22	1	no	—
1533	C₄⋊C₄	—	22	1	no	—
1534	C₄⋊C₄	—	22	1	no	—
1535	C₄⋊C₄	—	22	1	no	—
1536	C₄⋊C₄	—	22	1	no	—
1537	C₄⋊C₄	—	22	1	no	—
1538	C₄⋊C₄	—	22	1	no	—
1539	C₄⋊C₄	—	22	1	no	—
1540	C₄⋊C₄	—	22	1	no	—
1541	C₄⋊C₄	—	22	1	no	—
1542	C₄⋊C₄	—	22	1	no	—
1543	C₄⋊C₄	—	22	1	no	—
1544	C₄⋊C₄	—	22	1	no	—
1545	C₄⋊C₄	C₂³×D₁₁	1	1	yes	characteristic
1546	C₄⋊C₄	C₂³×D₁₁	1	1	yes	characteristic
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	11	1	no	—
1560	C₂²⋊C₄	—	11	1	no	—
1561	C₂²⋊C₄	—	11	1	no	—
1562	C₂²⋊C₄	—	11	1	no	—
1563	C₂²⋊C₄	—	11	1	no	—
1564	C₂²⋊C₄	—	11	1	no	—
1565	C₂²⋊C₄	—	22	1	no	—
1566	C₂²⋊C₄	—	22	1	no	—
1567	C₂²⋊C₄	—	22	1	no	—
1568	C₂²⋊C₄	—	22	1	no	—
1569	C₂²⋊C₄	—	22	1	no	—
1570	C₂²⋊C₄	—	22	1	no	—
1571	C₂²⋊C₄	—	22	1	no	—
1572	C₂²⋊C₄	—	22	1	no	—
1573	C₂²⋊C₄	—	22	1	no	—
1574	C₂²⋊C₄	—	22	1	no	—
1575	C₂²⋊C₄	—	22	1	no	—
1576	C₂²⋊C₄	—	22	1	no	—
1577	C₂²⋊C₄	—	22	1	no	—
1578	C₂²⋊C₄	—	22	1	no	—
1579	C₂²⋊C₄	—	22	1	no	—
1580	C₂²⋊C₄	—	22	1	no	—
1581	C₂²⋊C₄	—	22	1	no	—
1582	C₂²⋊C₄	—	22	1	no	—
1583	C₂²⋊C₄	—	22	1	no	—
1584	C₂²⋊C₄	—	22	1	no	—
1585	C₂²⋊C₄	—	22	1	no	—
1586	C₂²⋊C₄	—	22	1	no	—
1587	C₂²⋊C₄	—	22	1	no	—
1588	C₂²⋊C₄	—	22	1	no	—
1589	C₂²⋊C₄	—	22	1	no	—
1590	C₂²⋊C₄	—	22	1	no	—
1591	C₂²⋊C₄	—	22	1	no	—
1592	C₂²⋊C₄	—	22	1	no	—
1593	C₂²⋊C₄	—	22	1	no	—
1594	C₂²⋊C₄	—	22	1	no	—
1595	C₄²	—	11	1	no	—
1596	C₄²	—	11	1	no	—
1597	C₄²	—	11	1	no	—
1598	C₄²	—	11	1	no	—
1599	C₄²	—	11	1	no	—
1600	C₄²	—	11	1	no	—
1601	C₄²	—	22	1	no	—
1602	C₄²	—	22	1	no	—
1603	C₄²	—	22	1	no	—
1604	C₄²	—	22	1	no	—
1605	C₄²	—	22	1	no	—
1606	C₄²	—	22	1	no	—
1607	C₄²	D₄×D₁₁	1	1	yes	characteristic
1608	C₄²	D₄×D₁₁	1	1	yes	characteristic
1609	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1610	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1611	C₁₁	#61955	1	1	yes	characteristic, complemented, Sylow
1612	C₂³	—	2	1	no	—
1613	C₂³	—	2	1	no	—
1614	C₂³	—	2	1	no	—
1615	C₂³	—	2	1	no	—
1616	C₂³	—	4	2	no	—
1617	C₂³	—	4	2	no	—
1618	C₂³	—	4	2	no	—
1619	C₂³	—	8	1	no	—
1620	C₂³	—	8	1	no	—
1621	C₂³	—	8	1	no	—
1622	C₂³	—	11	1	no	—
1623	C₂³	—	11	1	no	—
1624	C₂³	—	22	1	no	—
1625	C₂³	—	22	1	no	—
1626	C₂³	—	44	2	no	—
1627	C₂³	—	44	2	no	—
1628	C₂³	—	44	2	no	—
1629	C₂³	—	88	1	no	—
1630	C₂³	—	88	1	no	—
1631	C₂³	—	88	1	no	—
1632	C₂³	C₂×D₄×D₁₁	1	1	yes	characteristic
1633	Q₈	—	2	1	no	—
1634	Q₈	—	2	1	no	—
1635	Q₈	—	2	1	no	—
1636	Q₈	—	2	1	no	—
1637	Q₈	—	8	1	no	—
1638	Q₈	—	22	2	no	—
1639	Q₈	—	22	1	no	—
1640	Q₈	—	22	1	no	—
1641	Q₈	—	22	1	no	—
1642	Q₈	—	22	1	no	—
1643	Q₈	—	88	1	no	—
1644	Q₈	—	88	1	no	—
1645	D₄	—	2	1	no	—
1646	D₄	—	2	1	no	—
1647	D₄	—	2	1	no	—
1648	D₄	—	2	1	no	—
1649	D₄	—	2	1	no	—
1650	D₄	—	2	1	no	—
1651	D₄	—	2	1	no	—
1652	D₄	—	4	2	no	—
1653	D₄	—	8	1	no	—
1654	D₄	—	11	4	no	—
1655	D₄	—	22	2	no	—
1656	D₄	—	22	2	no	—
1657	D₄	—	22	1	no	—
1658	D₄	—	22	1	no	—
1659	D₄	—	22	1	no	—
1660	D₄	—	22	1	no	—
1661	D₄	—	44	2	no	—
1662	D₄	—	44	2	no	—
1663	D₄	—	44	2	no	—
1664	D₄	—	44	2	no	—
1665	D₄	—	44	2	no	—
1666	D₄	—	44	2	no	—
1667	D₄	—	44	2	no	—
1668	D₄	—	44	2	no	—
1669	D₄	—	88	1	no	—
1670	D₄	—	88	1	no	—
1671	D₄	—	88	1	no	—
1672	D₄	—	88	1	no	—
1673	D₄	—	88	1	no	—
1674	D₄	—	88	1	no	—
1675	D₄	—	88	1	no	—
1676	D₄	—	88	1	no	—
1677	D₄	#67037	1	2	yes	—
1678	C₂×C₄	—	2	2	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	4	1	no	—
1686	C₂×C₄	—	4	2	no	—
1687	C₂×C₄	—	4	2	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	—	8	1	no	—
1690	C₂×C₄	—	8	1	no	—
1691	C₂×C₄	—	8	1	no	—
1692	C₂×C₄	—	11	1	no	—
1693	C₂×C₄	—	11	1	no	—
1694	C₂×C₄	—	11	1	no	—
1695	C₂×C₄	—	11	1	no	—
1696	C₂×C₄	—	11	1	no	—
1697	C₂×C₄	—	11	1	no	—
1698	C₂×C₄	—	22	2	no	—
1699	C₂×C₄	—	22	2	no	—
1700	C₂×C₄	—	22	1	no	—
1701	C₂×C₄	—	22	1	no	—
1702	C₂×C₄	—	22	1	no	—
1703	C₂×C₄	—	22	1	no	—
1704	C₂×C₄	—	22	1	no	—
1705	C₂×C₄	—	22	1	no	—
1706	C₂×C₄	—	22	1	no	—
1707	C₂×C₄	—	22	1	no	—
1708	C₂×C₄	—	22	1	no	—
1709	C₂×C₄	—	22	1	no	—
1710	C₂×C₄	—	44	1	no	—
1711	C₂×C₄	—	44	1	no	—
1712	C₂×C₄	—	44	2	no	—
1713	C₂×C₄	—	44	2	no	—
1714	C₂×C₄	—	44	2	no	—
1715	C₂×C₄	—	44	2	no	—
1716	C₂×C₄	—	88	1	no	—
1717	C₂×C₄	—	88	1	no	—
1718	C₂×C₄	—	88	1	no	—
1719	C₂×C₄	—	88	1	no	—
1720	C₂×C₄	—	88	1	no	—
1721	C₂×C₄	—	88	1	no	—
1722	C₂×C₄	—	88	1	no	—
1723	C₂×C₄	—	88	1	no	—
1724	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1725	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1726	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1727	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1728	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1729	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	2	1	no	—
1733	C₈	—	2	1	no	—
1734	C₈	—	22	1	no	—
1735	C₈	—	22	1	no	—
1736	C₈	—	22	1	no	—
1737	C₈	—	22	1	no	—
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	2	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	4	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	4	1	no	—
1750	C₂²	—	4	1	no	—
1751	C₂²	—	4	1	no	—
1752	C₂²	—	8	4	no	—
1753	C₂²	—	11	2	no	—
1754	C₂²	—	16	2	no	—
1755	C₂²	—	22	1	no	—
1756	C₂²	—	22	1	no	—
1757	C₂²	—	22	1	no	—
1758	C₂²	—	22	1	no	—
1759	C₂²	—	22	1	no	—
1760	C₂²	—	44	1	no	—
1761	C₂²	—	44	1	no	—
1762	C₂²	—	44	1	no	—
1763	C₂²	—	44	1	no	—
1764	C₂²	—	44	1	no	—
1765	C₂²	—	44	1	no	—
1766	C₂²	—	88	4	no	—
1767	C₂²	—	176	2	no	—
1768	C₂²	D₁₁×#135	1	2	yes	—
1769	C₂²	C₂²×D₄×D₁₁	1	1	yes	characteristic
1770	C₄	—	2	1	no	—
1771	C₄	—	2	1	no	—
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	4	1	no	—
1776	C₄	—	4	1	no	—
1777	C₄	—	4	1	no	—
1778	C₄	—	4	1	no	—
1779	C₄	—	11	2	no	—
1780	C₄	—	22	1	no	—
1781	C₄	—	22	1	no	—
1782	C₄	—	22	1	no	—
1783	C₄	—	22	1	no	—
1784	C₄	—	22	1	no	—
1785	C₄	—	44	1	no	—
1786	C₄	—	44	1	no	—
1787	C₄	—	44	1	no	—
1788	C₄	—	44	1	no	—
1789	C₄	—	44	1	no	—
1790	C₄	—	44	1	no	—
1791	C₄	C₂×#67037	1	1	yes	characteristic
1792	C₄	#10623453	1	1	yes	characteristic
1793	C₂	—	2	2	no	—
1794	C₂	—	4	2	no	—
1795	C₂	—	8	1	no	—
1796	C₂	—	8	1	no	—
1797	C₂	—	8	1	no	—
1798	C₂	—	22	2	no	—
1799	C₂	—	44	1	no	—
1800	C₂	—	88	1	no	—
1801	C₂	—	88	1	no	—
1802	C₂	#13082281	1	1	yes	characteristic
1803	C₂	C₂×D₁₁×#135	1	1	yes	characteristic
1804	C₂	#13083392	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₁
commutator, cosocle	C₂×C₄×C₁₁	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₁
Fitting	C₂×C₁₁×#463	C₂
socle	C₂²×C₁₁	C₂³×D₄
hypercenter	C₂×#463	D₁₁
hypocenter	C₁₁	#61955
LCS	G ▷ C₂×C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#463

Complements

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

N	H ≅ G/N	type
1. #13082571	C₂	semidirect
2. #13082220	C₂	semidirect
3. #13081623	C₂	semidirect
4. #13081615	C₂	semidirect
5. #13081271	C₂	semidirect
6. #13081260	C₂	semidirect
7. #13080525	C₂	semidirect
8. #13080514	C₂	semidirect
9. #13080488	C₂	semidirect
10. #13080473	C₂	semidirect
11. #13080462	C₂	semidirect
12. #13080436	C₂	semidirect
13. #13080329	C₂	semidirect
14. #13080323	C₂	semidirect
15. SD₁₆×C₂²⋊D₁₁	C₂	semidirect
16. #13080301	C₂	semidirect
17. #13080296	C₂	semidirect
18. D₈×C₂²⋊D₁₁	C₂	semidirect
19. #13079968	C₂	semidirect
20. #13079965	C₂	semidirect
21. #13079939	C₂	semidirect
22. #13079581	C₂	semidirect
23. #13079579	C₂	semidirect
24. #13079548	C₂	semidirect
25. #13078663	C₂	semidirect
26. #13078662	C₂	semidirect
27. #13078631	C₂	semidirect
28. #13078068	C₂	semidirect
29. D₁₁×#463	C₂	semidirect
30. #13077725	C₂	semidirect
31. C₂×C₁₁×#463	C₂	semidirect
32. C₂²×C₁₁×SD₁₆	C₂²	semidirect
34. C₂×C₁₁×#124	C₂²	semidirect
35. C₂×C₄×D₄×C₁₁	C₂²	semidirect
36. #10623348	C₂²	semidirect
38. #10623337	C₂²	semidirect
39. #10623337	C₂²	semidirect
44. C₂×#66969	C₂²	semidirect
45. C₂×SD₁₆×D₁₁	C₂²	semidirect
46. C₂×#66965	C₂²	semidirect
48. #10623212	C₂²	semidirect
49. #10623211	C₂²	semidirect
50. #10623211	C₂²	semidirect
53. #10623208	C₂²	semidirect
54. #10623207	C₂²	semidirect
55. D₁₁×#124	C₂²	semidirect
56. #10623202	C₂²	semidirect
59. #10623199	C₂²	semidirect
60. #10623090	C₂²	semidirect
61. #10623089	C₂²	semidirect
62. #10623088	C₂²	semidirect
64. #10623085	C₂²	semidirect
65. #10623079	C₂²	semidirect
67. C₄×D₄×D₁₁	C₂²	semidirect
69. #10623070	C₂²	semidirect
71. C₄×#4341	C₂²	semidirect
72. #10623045	C₂²	semidirect
80. #10623010	C₂²	semidirect
81. #10623010	C₂²	semidirect
85. C₁₁×#463	C₂²	semidirect
86. C₁₁×#463	C₂²	semidirect
87. C₁₁×#463	C₂²	semidirect
88. C₁₁×#463	C₂²	semidirect
89. C₁₁×#463	C₂²	semidirect
90. C₁₁×#463	C₂²	semidirect
91. C₂×C₁₁×C₄⋊C₈	C₂²	semidirect
92. C₂×C₁₁×#103	C₂²	semidirect
93. C₂×C₁₁×#102	C₂²	semidirect
94. #10622841	C₂²	semidirect
95. #10622840	C₂²	semidirect
96. #10622831	C₂²	semidirect
97. #10622831	C₂²	semidirect
100. #10622788	C₂²	semidirect
101. #10622786	C₂²	semidirect
102. #10622785	C₂²	semidirect
103. #10622784	C₂²	semidirect
104. #10622784	C₂²	semidirect
105. #10622783	C₂²	semidirect
106. #10622782	C₂²	semidirect
107. #10622781	C₂²	semidirect
108. #10622779	C₂²	semidirect
109. #10622778	C₂²	semidirect
110. #10622776	C₂²	semidirect
111. #10622775	C₂²	semidirect
112. SD₁₆×Dic₁₁	C₂²	semidirect
113. SD₁₆×Dic₁₁	C₂²	semidirect
115. #10622771	C₂²	semidirect
117. #10622770	C₂²	semidirect
120. #10622768	C₂²	semidirect
122. #10622766	C₂²	semidirect
127. D₈×Dic₁₁	C₂²	semidirect
128. #10622729	C₂²	semidirect
130. #10622727	C₂²	semidirect
131. #10622727	C₂²	semidirect
134. C₈×C₂²⋊D₁₁	C₂²	semidirect
135. C₈×C₂²⋊D₁₁	C₂²	semidirect
136. #10622672	C₂²	semidirect
137. #10622672	C₂²	semidirect
138. #10622670	C₂²	semidirect
139. #10622670	C₂²	semidirect
140. #10622669	C₂²	semidirect
141. #10622669	C₂²	semidirect
142. #10622667	C₂²	semidirect
143. #10622667	C₂²	semidirect
144. C₄×#4324	C₂²	semidirect
145. C₄×#4324	C₂²	semidirect
146. #10622629	C₂²	semidirect
147. #10622629	C₂²	semidirect
148. C₄×#4323	C₂²	semidirect
149. C₄×#4323	C₂²	semidirect
150. #10622622	C₂²	semidirect
151. #10622622	C₂²	semidirect
152. #10622583	C₂²	semidirect
153. #10622581	C₂²	semidirect
154. #10622538	C₂²	semidirect
155. #10622460	C₂²	semidirect
156. #10622460	C₂²	semidirect
157. #10622458	C₂²	semidirect
158. #10622458	C₂²	semidirect
159. #10622457	C₂²	semidirect
160. #10622457	C₂²	semidirect
161. #10622447	C₂²	semidirect
162. #10622447	C₂²	semidirect
163. #10622446	C₂²	semidirect
164. #10622446	C₂²	semidirect
165. D₁₁×C₄⋊C₈	C₂²	semidirect
166. D₁₁×C₄⋊C₈	C₂²	semidirect
167. #10622443	C₂²	semidirect
168. #10622443	C₂²	semidirect
169. #10622442	C₂²	semidirect
170. #10622442	C₂²	semidirect
171. #10622432	C₂²	semidirect
172. #10622427	C₂²	semidirect
173. #10622426	C₂²	semidirect
174. #10622424	C₂²	semidirect
175. #10622422	C₂²	semidirect
176. #10622421	C₂²	semidirect
177. #10622420	C₂²	semidirect
178. #10622417	C₂²	semidirect
179. D₁₁×#103	C₂²	semidirect
180. #10622413	C₂²	semidirect
181. #10622409	C₂²	semidirect
182. #10622407	C₂²	semidirect
183. #10622406	C₂²	semidirect
184. #10622405	C₂²	semidirect
185. #10622403	C₂²	semidirect
186. #10622401	C₂²	semidirect
187. #10622400	C₂²	semidirect
188. #10622394	C₂²	semidirect
189. #10622392	C₂²	semidirect
190. #10622391	C₂²	semidirect
191. #10622390	C₂²	semidirect
192. #10622389	C₂²	semidirect
193. #10622388	C₂²	semidirect
194. #10622385	C₂²	semidirect
195. D₁₁×#102	C₂²	semidirect
196. #10622381	C₂²	semidirect
197. #10622376	C₂²	semidirect
198. #10622375	C₂²	semidirect
199. #10622374	C₂²	semidirect
200. #10622373	C₂²	semidirect
201. #10622371	C₂²	semidirect
202. #10622369	C₂²	semidirect
739. C₂×#463	D₁₁	semidirect
812. C₂²⋊D₁₁	#135	semidirect
870. C₂²×SD₁₆	C₂×D₁₁	semidirect
909. C₂×#124	C₂×D₁₁	semidirect
917. C₂×C₄×D₄	C₂×D₁₁	semidirect
976. #463	C₂×D₁₁	semidirect
977. #463	C₂×D₁₁	semidirect
978. #463	C₂×D₁₁	semidirect
979. #463	C₂×D₁₁	semidirect
980. #463	C₂×D₁₁	semidirect
981. #463	C₂×D₁₁	semidirect
1031. C₂×C₄⋊C₈	C₂×D₁₁	semidirect
1035. C₂×#103	C₂×D₁₁	semidirect
1037. C₂×#102	C₂×D₁₁	semidirect
1611. C₁₁	#61955	semidirect

Maximal subgroups

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

subgroup	index
#13082571	2
#13082220	2
#13081623	2
#13081615	2
#13081271	2
#13081260	2
#13080525	2
#13080514	2
#13080488	2
#13080473	2
#13080462	2
#13080436	2
#13080329	2
#13080323	2
SD₁₆×C₂²⋊D₁₁	2
#13080301	2
#13080296	2
D₈×C₂²⋊D₁₁	2
#13079968	2
#13079965	2
#13079939	2
#13079581	2
#13079579	2
#13079548	2
#13078663	2
#13078662	2
#13078631	2
#13078068	2
D₁₁×#463	2
#13077725	2
C₂×C₁₁×#463	2
#61955	11