Subgroups — #15636158

Order 2816.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13082560	C₂	1	2	yes	maximal, complemented
2	#13081629	C₂	1	1	yes	maximal, characteristic, complemented
3	#13081484	C₂	1	1	yes	maximal, characteristic, complemented
4	#13081371	C₂	1	2	yes	maximal, complemented
5	#13081019	C₂	1	1	yes	maximal, characteristic, complemented
6	#13080985	C₂	1	1	yes	maximal, characteristic, complemented
7	#13080964	C₂	1	1	yes	maximal, characteristic, complemented
8	#13080819	C₂	1	2	yes	maximal, complemented
9	#13080639	C₂	1	2	yes	maximal, complemented
10	#13080579	C₂	1	2	yes	maximal, complemented
11	#13080303	C₂	1	1	yes	maximal, characteristic, complemented
12	#13080303	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×D₈₈	C₂	1	1	yes	maximal, characteristic, complemented
14	#13079266	C₂	1	1	yes	maximal, characteristic, complemented
15	#13079255	C₂	1	1	yes	maximal, characteristic, complemented
16	#13079186	C₂	1	1	yes	maximal, characteristic, complemented
17	#13078817	C₂	1	2	yes	maximal, complemented
18	#13078802	C₂	1	2	yes	maximal, complemented
19	#13078756	C₂	1	2	yes	maximal, complemented
20	#13077493	C₂	1	1	yes	maximal, characteristic, complemented
21	#13077469	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×D₈₈	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2966	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₁×#529	C₂²	1	1	yes	characteristic
25	C₂×#66957	C₂²	1	1	yes	characteristic
26	C₂²×D₈₈	C₂²	1	1	yes	characteristic
27	C₂²×D₈₈	C₂²	1	1	yes	characteristic
28	#10623240	—	2	2	no	—
29	#10623236	—	2	2	no	—
30	#10623223	—	2	2	no	—
31	#10623209	—	2	2	no	—
32	#10623187	—	2	2	no	—
33	D₁₁×#123	—	2	2	no	—
34	#10623168	—	2	2	no	—
35	#10623141	—	2	2	no	—
36	#10623116	C₂²	1	2	yes	complemented
37	#10623110	C₂²	1	2	yes	complemented
38	#10623096	C₂²	1	2	yes	complemented
39	#10623086	C₂²	1	2	yes	complemented
40	#10623081	C₂²	1	2	yes	complemented
41	#10623081	C₂²	1	2	yes	complemented
42	D₄×D₄₄	C₂²	1	2	yes	—
43	#10623072	C₂²	1	2	yes	—
44	#10623066	C₂²	1	2	yes	complemented
45	#10623065	C₂²	1	2	yes	complemented
46	#10623054	C₂²	1	2	yes	complemented
47	#10623052	C₂²	1	2	yes	complemented
48	#10623010	C₂²	1	2	yes	complemented
49	C₂×C₄×D₄₄	C₂²	1	2	yes	complemented
50	C₁₁×#446	C₂²	1	1	yes	characteristic, complemented
51	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
52	C₁₁×#436	C₂²	1	1	yes	characteristic, complemented
53	C₁₁×#435	C₂²	1	1	yes	characteristic
54	C₁₁×#435	C₂²	1	1	yes	characteristic, complemented
55	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
56	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
57	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#433	C₂²	1	1	yes	characteristic, complemented
59	C₁₁×#433	C₂²	1	1	yes	characteristic, complemented
60	C₁₁×#432	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#405	C₂²	1	1	yes	characteristic, complemented
62	C₁₁×#405	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
64	#10622748	C₂²	1	2	yes	complemented
65	#10622747	C₂²	1	2	yes	complemented
66	#10622746	C₂²	1	2	yes	complemented
67	#10622744	C₂²	1	2	yes	complemented
68	#10622729	C₂²	1	1	yes	characteristic, complemented
69	#10622729	C₂²	1	1	yes	characteristic, complemented
70	#10622728	C₂²	1	1	yes	characteristic
71	#10622728	C₂²	1	1	yes	characteristic
72	#10622728	C₂²	1	1	yes	characteristic, complemented
73	#10622728	C₂²	1	1	yes	characteristic, complemented
74	#10622727	C₂²	1	2	yes	complemented
75	C₂×#66885	C₂²	1	2	yes	complemented
76	#10622719	C₂²	1	1	yes	characteristic, complemented
77	C₂×#66882	C₂²	1	1	yes	characteristic, complemented
78	C₂×#66882	C₂²	1	1	yes	characteristic, complemented
79	#10622461	C₂²	1	2	yes	complemented
80	#10622460	C₂²	1	2	yes	complemented
81	#10622460	C₂²	1	2	yes	complemented
82	#10622460	C₂²	1	2	yes	complemented
83	#10622459	C₂²	1	2	yes	complemented
84	#10622457	C₂²	1	2	yes	complemented
85	#10622457	C₂²	1	2	yes	complemented
86	#10622457	C₂²	1	2	yes	complemented
87	#10622457	C₂²	1	2	yes	complemented
88	#10622456	C₂²	1	2	yes	—
89	#10622455	C₂²	1	2	yes	complemented
90	#10622442	C₂²	1	2	yes	complemented
91	#10622350	C₂²	1	2	yes	complemented
92	#10622349	C₂²	1	2	yes	complemented
93	#10622349	C₂²	1	2	yes	complemented
94	#10622348	C₂²	1	2	yes	complemented
95	#10622347	C₂²	1	2	yes	complemented
96	#10622347	C₂²	1	2	yes	complemented
97	#10622345	C₂²	1	2	yes	—
98	#10622345	C₂²	1	2	yes	—
99	#10622344	C₂²	1	2	yes	complemented
100	#10622344	C₂²	1	2	yes	complemented
101	#10622336	C₂²	1	2	yes	complemented
102	#10622334	C₂²	1	2	yes	complemented
103	#10622327	C₂²	1	2	yes	complemented
104	#10622326	C₂²	1	2	yes	complemented
105	#10622324	C₂²	1	2	yes	complemented
106	#10622324	C₂²	1	2	yes	complemented
107	#10622324	C₂²	1	2	yes	complemented
108	#10622323	C₂²	1	2	yes	complemented
109	#10622323	C₂²	1	2	yes	complemented
110	#10622323	C₂²	1	2	yes	complemented
111	C₄×Dic₄₄	C₂²	1	1	yes	characteristic, complemented
112	C₄×Dic₄₄	C₂²	1	1	yes	characteristic, complemented
113	#10622310	C₂²	1	2	yes	complemented
114	#10622309	C₂²	1	1	yes	characteristic, complemented
115	#10622309	C₂²	1	1	yes	characteristic, complemented
116	#10622308	C₂²	1	1	yes	characteristic
117	C₄×D₈₈	C₂²	1	1	yes	characteristic
118	C₄×D₈₈	C₂²	1	1	yes	characteristic
119	C₄×D₈₈	C₂²	1	1	yes	characteristic
120	C₄×D₈₈	C₂²	1	1	yes	characteristic
121	C₄×D₈₈	C₂²	1	2	yes	complemented
122	C₄×D₈₈	C₂²	1	2	yes	complemented
123	C₄×D₈₈	C₂²	1	1	yes	characteristic, complemented
124	C₄×D₈₈	C₂²	1	1	yes	characteristic, complemented
125	C₄×D₈₈	C₂²	1	1	yes	characteristic, complemented
126	C₄×D₈₈	C₂²	1	1	yes	characteristic, complemented
127	C₄×#4314	C₂²	1	2	yes	complemented
128	#10622296	C₂²	1	1	yes	characteristic, complemented
129	#10622296	C₂²	1	1	yes	characteristic, complemented
130	#10622295	C₂²	1	1	yes	characteristic, complemented
131	C₂×#4341	—	2	2	no	—
132	C₂×D₄×D₁₁	—	2	2	no	—
133	C₂×#4339	C₂³	1	2	yes	—
134	C₂²×D₄₄	C₂³	1	2	yes	—
135	C₂²×D₄₄	C₂³	1	2	yes	—
136	C₂²×C₄×D₁₁	—	2	2	no	—
137	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
138	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
139	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
140	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
141	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
142	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
143	C₁₁×#126	D₄	1	1	yes	characteristic
144	C₁₁×#126	D₄	1	1	yes	characteristic
145	C₁₁×#125	D₄	1	1	yes	characteristic
146	C₁₁×#124	D₄	1	1	yes	characteristic
147	C₁₁×#123	D₄	1	1	yes	characteristic
148	C₁₁×#123	D₄	1	1	yes	characteristic
149	C₁₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
150	C₁₁×#121	D₄	1	1	yes	characteristic
151	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
152	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
153	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
154	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
155	C₁₁×#117	C₂³	1	1	yes	characteristic
156	C₁₁×#117	C₂³	1	1	yes	characteristic
157	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
158	#67000	—	2	2	no	—
159	#66999	—	2	2	no	—
160	#66992	—	2	2	no	—
161	#66990	—	2	2	no	—
162	#66990	—	2	2	no	—
163	#66988	—	2	2	no	—
164	#66983	C₂³	1	2	yes	—
165	#66983	C₂³	1	2	yes	—
166	#66983	C₂³	1	2	yes	—
167	#66983	C₂³	1	2	yes	—
168	#66982	—	2	2	no	—
169	C₄×C₂²⋊D₁₁	—	2	2	no	—
170	C₂×(C₂×D₁₁)⋊C₄	—	2	2	no	—
171	#66979	C₂³	1	2	yes	—
172	C₂×C₄⋊Dic₁₁	C₂³	1	2	yes	—
173	C₂×C₄⋊Dic₁₁	C₂³	1	2	yes	—
174	#66977	C₂³	1	2	yes	—
175	#66977	C₂³	1	2	yes	—
176	C₂×Dic₄₄	C₂³	1	1	yes	characteristic
177	#66957	—	2	4	no	—
178	C₂×D₈₈	—	2	4	no	—
179	C₂×D₈₈	—	2	4	no	—
180	C₂×D₈₈	C₂³	1	1	yes	characteristic
181	C₂×D₈₈	C₂³	1	1	yes	characteristic
182	C₂×D₈₈	C₂³	1	2	yes	—
183	C₂×D₈₈	C₂³	1	2	yes	—
184	C₂×D₈₈	C₂³	1	2	yes	—
185	C₂×D₈₈	C₂³	1	1	yes	characteristic
186	C₂×#4314	C₂³	1	2	yes	—
187	C₂×#4314	C₂³	1	2	yes	—
188	C₂×#4314	C₂³	1	2	yes	—
189	#66951	—	2	2	no	—
190	#66951	—	2	2	no	—
191	#66950	—	2	2	no	—
192	#66949	—	2	2	no	—
193	#66949	—	2	2	no	—
194	#66949	—	2	2	no	—
195	#66948	—	2	2	no	—
196	#66947	—	2	2	no	—
197	#66947	—	2	2	no	—
198	#66947	—	2	2	no	—
199	#66947	—	2	2	no	—
200	#66947	—	2	2	no	—
201	#66947	—	2	2	no	—
202	#66946	—	2	2	no	—
203	#66946	—	2	2	no	—
204	#66946	—	2	2	no	—
205	#66945	—	2	2	no	—
206	C₄⋊C₄×D₁₁	—	2	2	no	—
207	C₄⋊C₄×D₁₁	—	2	2	no	—
208	#66942	—	2	2	no	—
209	#66939	—	2	2	no	—
210	#66939	—	2	2	no	—
211	#66938	—	2	2	no	—
212	#66937	—	2	2	no	—
213	#66937	—	2	2	no	—
214	#66937	—	2	2	no	—
215	#66937	—	2	2	no	—
216	#66936	—	2	2	no	—
217	#66936	—	2	2	no	—
218	#66935	—	2	2	no	—
219	#66935	—	2	2	no	—
220	(C₂²⋊D₁₁)⋊C₄	—	2	2	no	—
221	(C₂²⋊D₁₁)⋊C₄	—	2	2	no	—
222	(C₂²⋊D₁₁)⋊C₄	—	2	2	no	—
223	C₂²⋊C₄×D₁₁	—	2	2	no	—
224	C₂²⋊C₄×D₁₁	—	2	2	no	—
225	C₂²⋊C₄×D₁₁	—	2	2	no	—
226	C₂²⋊C₄×D₁₁	—	2	2	no	—
227	#66932	—	2	2	no	—
228	#66930	—	2	2	no	—
229	#66929	—	2	2	no	—
230	#66928	C₂³	1	2	yes	—
231	#66928	C₂³	1	2	yes	—
232	#66927	C₂³	1	2	yes	—
233	C₄×D₄₄	—	2	2	no	—
234	C₄×D₄₄	—	2	2	no	—
235	C₄×D₄₄	C₂³	1	2	yes	—
236	C₄×D₄₄	C₂³	1	2	yes	—
237	C₄×D₄₄	C₂³	1	2	yes	—
238	C₄×D₄₄	C₂³	1	2	yes	—
239	C₄×D₄₄	C₂³	1	2	yes	—
240	C₄×D₄₄	C₂³	1	2	yes	—
241	C₄×D₄₄	C₂³	1	2	yes	—
242	C₄×D₄₄	C₂³	1	2	yes	—
243	#66925	—	2	2	no	—
244	#66923	C₂³	1	2	yes	—
245	#66923	C₂³	1	2	yes	—
246	#66922	C₂³	1	2	yes	—
247	C₄×Dic₂₂	C₂³	1	2	yes	—
248	C₄×Dic₂₂	C₂³	1	2	yes	—
249	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
250	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
251	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
252	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
253	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
254	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
255	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
256	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
257	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
258	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
259	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
260	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
261	C₁₁×#97	C₂³	1	1	yes	characteristic
262	C₁₁×#97	C₂³	1	1	yes	characteristic
263	C₁₁×#97	C₂³	1	1	yes	characteristic
264	C₁₁×#97	C₂³	1	1	yes	characteristic
265	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
266	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
267	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
268	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
269	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
270	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
271	#66885	C₂³	1	2	yes	—
272	#66885	C₂³	1	2	yes	—
273	#66885	C₂³	1	2	yes	—
274	#66885	C₂³	1	2	yes	—
275	#66885	C₂³	1	2	yes	—
276	#66885	C₂³	1	2	yes	—
277	#66885	C₂³	1	2	yes	—
278	#66885	C₂³	1	2	yes	—
279	#66885	C₂³	1	2	yes	—
280	#66885	C₂³	1	2	yes	—
281	#66885	C₂³	1	2	yes	—
282	#66885	C₂³	1	2	yes	—
283	#66882	C₂³	1	1	yes	characteristic
284	#66882	C₂³	1	1	yes	characteristic
285	#66882	C₂³	1	1	yes	characteristic
286	#66882	C₂³	1	2	yes	—
287	#66882	C₂³	1	1	yes	characteristic
288	#66882	C₂³	1	2	yes	—
289	#66882	C₂³	1	2	yes	—
290	#66881	C₂³	1	2	yes	—
291	#66881	C₂³	1	2	yes	—
292	#66881	C₂³	1	2	yes	—
293	#66880	C₂³	1	2	yes	—
294	#66880	C₂³	1	2	yes	—
295	#66880	C₂³	1	2	yes	—
296	#66880	C₂³	1	2	yes	—
297	#61471	—	11	1	no	maximal, Sylow
298	C₂³×D₁₁	—	2	2	no	—
299	C₂³×D₁₁	—	2	2	no	—
300	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
301	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
302	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
303	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
304	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
305	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
306	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
309	C₂×C₂²⋊D₁₁	—	2	2	no	—
310	C₂×C₂²⋊D₁₁	—	2	2	no	—
311	C₂×C₂²⋊D₁₁	—	2	2	no	—
312	C₂×C₂²⋊D₁₁	—	2	2	no	—
313	C₂×C₂²⋊D₁₁	—	2	2	no	—
314	C₂²×Dic₁₁	—	2	2	no	—
315	C₂²×Dic₁₁	—	2	2	no	—
316	#4341	—	8	4	no	—
317	D₄×D₁₁	—	8	4	no	—
318	#4339	—	2	4	no	—
319	#4339	—	4	2	no	—
320	C₂×D₄₄	—	2	4	no	—
321	C₂×D₄₄	—	2	4	no	—
322	C₂×D₄₄	—	2	2	no	—
323	C₂×D₄₄	—	2	2	no	—
324	C₂×D₄₄	—	2	2	no	—
325	C₂×D₄₄	—	2	2	no	—
326	C₂×D₄₄	—	4	2	no	—
327	C₂×D₄₄	—	4	2	no	—
328	C₂×D₄₄	C₂⁴	1	2	yes	—
329	C₂×D₄₄	C₂⁴	1	2	yes	—
330	C₂×D₄₄	C₂⁴	1	2	yes	—
331	C₂×C₄×D₁₁	—	2	2	no	—
332	C₂×C₄×D₁₁	—	2	2	no	—
333	C₂×C₄×D₁₁	—	2	2	no	—
334	C₂×C₄×D₁₁	—	2	2	no	—
335	C₂×C₄×D₁₁	—	2	2	no	—
336	C₂×C₄×D₁₁	—	2	2	no	—
337	C₂×C₄×D₁₁	—	2	2	no	—
338	C₂×C₄×D₁₁	—	2	2	no	—
339	C₂×C₄×D₁₁	—	2	2	no	—
340	C₂×C₄×D₁₁	—	8	4	no	—
341	C₂×Dic₂₂	—	2	2	no	—
342	C₂×Dic₂₂	C₂⁴	1	2	yes	—
343	C₁₁×M₁₆	—	4	1	no	—
344	C₁₁×M₁₆	—	4	1	no	—
345	C₂×C₈×C₁₁	—	2	2	no	—
346	C₂×C₈×C₁₁	—	2	2	no	—
347	C₂×C₈×C₁₁	—	2	2	no	—
348	C₂×C₈×C₁₁	—	4	1	no	—
349	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
350	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
351	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
352	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
353	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
354	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
355	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
356	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
357	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
358	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
359	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
360	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
361	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
362	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
363	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
364	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
365	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
366	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
367	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
368	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
369	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
370	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
371	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
372	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
373	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
374	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
375	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
376	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
377	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
378	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
379	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
380	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
381	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
382	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
383	C₂²⋊Dic₁₁	—	2	2	no	—
384	C₂²⋊Dic₁₁	—	2	2	no	—
385	C₂²⋊Dic₁₁	—	2	2	no	—
386	(C₂×D₁₁)⋊C₄	—	2	2	no	—
387	(C₂×D₁₁)⋊C₄	—	2	2	no	—
388	(C₂×D₁₁)⋊C₄	—	2	2	no	—
389	(C₂×D₁₁)⋊C₄	—	2	2	no	—
390	(C₂×D₁₁)⋊C₄	—	2	2	no	—
391	(C₂×D₁₁)⋊C₄	—	2	2	no	—
392	(C₂×D₁₁)⋊C₄	—	2	2	no	—
393	(C₂×D₁₁)⋊C₄	—	2	2	no	—
394	(C₂×D₁₁)⋊C₄	—	2	2	no	—
395	(C₂×D₁₁)⋊C₄	—	2	2	no	—
396	(C₂×D₁₁)⋊C₄	—	2	2	no	—
397	(C₂×D₁₁)⋊C₄	—	2	2	no	—
398	(C₂×D₁₁)⋊C₄	—	2	2	no	—
399	(C₂×D₁₁)⋊C₄	—	2	2	no	—
400	(C₂×D₁₁)⋊C₄	—	2	2	no	—
401	(C₂×D₁₁)⋊C₄	—	2	2	no	—
402	C₄⋊Dic₁₁	—	2	2	no	—
403	C₄⋊Dic₁₁	—	2	2	no	—
404	C₄⋊Dic₁₁	—	2	2	no	—
405	C₄⋊Dic₁₁	C₂⁴	1	2	yes	—
406	C₄⋊Dic₁₁	C₂⁴	1	2	yes	—
407	C₄⋊Dic₁₁	C₂⁴	1	2	yes	—
408	C₄⋊Dic₁₁	C₂⁴	1	2	yes	—
409	Dic₁₁⋊C₄	—	2	2	no	—
410	Dic₁₁⋊C₄	—	2	2	no	—
411	Dic₁₁⋊C₄	—	2	2	no	—
412	Dic₁₁⋊C₄	—	2	2	no	—
413	Dic₁₁⋊C₄	—	2	2	no	—
414	Dic₁₁⋊C₄	—	2	2	no	—
415	Dic₁₁⋊C₄	—	2	2	no	—
416	Dic₁₁⋊C₄	—	2	2	no	—
417	C₄×Dic₁₁	—	2	2	no	—
418	C₄×Dic₁₁	—	2	2	no	—
419	C₄×Dic₁₁	—	2	2	no	—
420	Dic₄₄	—	2	2	no	—
421	D₈₈	—	2	4	no	—
422	D₈₈	—	2	4	no	—
423	D₈₈	—	2	2	no	—
424	D₈₈	—	2	2	no	—
425	D₈₈	—	4	2	no	—
426	D₈₈	#41	1	4	yes	complemented
427	#4314	—	2	4	no	—
428	#4314	—	4	2	no	—
429	#4314	—	4	2	no	—
430	#3513	—	11	2	no	—
431	#3396	—	11	1	no	—
432	#3380	—	11	1	no	—
433	#3370	—	11	2	no	—
434	#3339	—	11	1	no	—
435	#3336	—	11	1	no	—
436	#3334	—	11	1	no	—
437	#3322	—	11	2	no	—
438	#3310	—	11	2	no	—
439	#3306	—	11	2	no	—
440	#3280	—	11	1	no	—
441	#3280	—	11	1	no	—
442	D₄×D₈	—	11	1	no	—
443	#3176	—	11	1	no	—
444	#3175	—	11	1	no	—
445	#3168	—	11	1	no	—
446	#3119	—	11	2	no	—
447	#3118	—	11	2	no	—
448	#3114	—	11	2	no	—
449	#2966	D₁₁	1	1	yes	characteristic, complemented
450	#2951	—	11	1	no	—
451	#2948	—	11	1	no	—
452	C₂×C₄×D₈	—	11	1	no	—
453	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
454	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
455	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
456	C₂²×D₁₁	—	2	2	no	—
457	C₂²×D₁₁	—	2	2	no	—
458	C₂²×D₁₁	—	2	2	no	—
459	C₂²×D₁₁	—	4	4	no	—
460	C₂²×D₁₁	—	4	4	no	—
461	C₂²×D₁₁	—	4	4	no	—
462	C₂²×D₁₁	—	8	2	no	—
463	C₂²×D₁₁	—	8	2	no	—
464	C₂²×D₁₁	—	8	2	no	—
465	Q₈×C₁₁	—	4	1	no	—
466	D₄×C₁₁	—	2	2	no	—
467	D₄×C₁₁	—	2	2	no	—
468	D₄×C₁₁	—	4	1	no	—
469	C₂×C₄×C₁₁	—	2	2	no	—
470	C₂×C₄×C₁₁	—	2	1	no	—
471	C₂×C₄×C₁₁	—	2	1	no	—
472	C₂×C₄×C₁₁	—	2	1	no	—
473	C₂×C₄×C₁₁	—	2	1	no	—
474	C₂×C₄×C₁₁	—	2	1	no	—
475	C₂×C₄×C₁₁	—	2	1	no	—
476	C₂×C₄×C₁₁	—	4	1	no	—
477	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
478	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
479	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
480	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
481	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
482	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
483	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
484	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
485	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
486	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
487	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
488	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
489	C₂²⋊D₁₁	—	4	4	no	—
490	C₂²⋊D₁₁	—	4	4	no	—
491	C₂²⋊D₁₁	—	8	2	no	—
492	C₂²⋊D₁₁	—	8	2	no	—
493	C₂²⋊D₁₁	—	8	2	no	—
494	C₂×Dic₁₁	—	2	2	no	—
495	C₂×Dic₁₁	—	2	2	no	—
496	C₂×Dic₁₁	—	2	2	no	—
497	C₂×Dic₁₁	—	2	2	no	—
498	C₂×Dic₁₁	—	2	2	no	—
499	C₂×Dic₁₁	—	4	4	no	—
500	C₂×Dic₁₁	—	8	2	no	—
501	D₄₄	—	2	2	no	—
502	D₄₄	—	2	2	no	—
503	D₄₄	—	2	2	no	—
504	D₄₄	—	2	2	no	—
505	D₄₄	—	2	2	no	—
506	D₄₄	—	4	4	no	—
507	D₄₄	—	4	4	no	—
508	D₄₄	—	8	2	no	—
509	D₄₄	—	8	2	no	—
510	D₄₄	C₂×#41	1	4	yes	—
511	C₄×D₁₁	—	4	4	no	—
512	C₄×D₁₁	—	8	2	no	—
513	C₄×D₁₁	—	8	2	no	—
514	C₄×D₁₁	—	8	2	no	—
515	C₄×D₁₁	—	8	2	no	—
516	C₄×D₁₁	—	8	2	no	—
517	C₄×D₁₁	—	8	2	no	—
518	C₄×D₁₁	—	8	2	no	—
519	C₄×D₁₁	—	8	2	no	—
520	Dic₂₂	—	2	2	no	—
521	Dic₂₂	—	2	2	no	—
522	Dic₂₂	—	8	2	no	—
523	C₈×C₁₁	—	2	1	no	—
524	C₈×C₁₁	—	2	1	no	—
525	C₈×C₁₁	—	2	1	no	—
526	C₈×C₁₁	—	2	1	no	—
527	C₈×C₁₁	—	2	1	no	—
528	C₈×C₁₁	—	2	1	no	—
529	C₈×C₁₁	—	2	1	no	—
530	C₈×C₁₁	C₂×#41	1	2	yes	—
531	C₂×#135	—	11	1	no	—
532	C₂²×D₈	—	11	1	no	—
533	C₂²×D₈	—	11	1	no	—
534	#559	—	11	2	no	—
535	#554	—	11	2	no	—
536	#553	—	11	2	no	—
537	#553	—	22	2	no	—
538	#552	—	11	2	no	—
539	#551	—	22	2	no	—
540	#551	—	22	2	no	—
541	#547	—	11	2	no	—
542	#546	—	11	2	no	—
543	#546	—	11	2	no	—
544	#546	—	22	2	no	—
545	D₄²	—	11	2	no	—
546	#542	—	11	2	no	—
547	#540	—	11	2	no	—
548	#539	—	22	2	no	—
549	#538	—	22	2	no	—
550	#529	—	11	2	no	—
551	#529	C₂×D₁₁	1	1	yes	characteristic
552	#525	—	22	2	no	—
553	C₂×#123	—	22	2	no	—
554	#520	—	11	2	no	—
555	#518	—	11	2	no	—
556	C₂×C₄×D₄	—	11	2	no	—
557	#500	—	11	1	no	—
558	#499	—	11	1	no	—
559	#499	—	11	1	no	—
560	#495	—	11	1	no	—
561	#495	—	11	1	no	—
562	#493	—	11	1	no	—
563	#490	—	11	2	no	—
564	#489	—	11	2	no	—
565	#488	—	11	2	no	—
566	#485	—	11	2	no	—
567	#483	—	11	2	no	—
568	#482	—	11	2	no	—
569	#481	—	11	2	no	—
570	#480	—	11	2	no	—
571	#480	—	11	2	no	—
572	#479	—	11	2	no	—
573	#478	—	11	2	no	—
574	#478	—	11	2	no	—
575	#478	—	11	2	no	—
576	#476	—	11	2	no	—
577	#474	—	11	2	no	—
578	#469	—	11	2	no	—
579	#468	—	11	2	no	—
580	#467	—	11	1	no	—
581	#467	—	11	1	no	—
582	#466	—	11	1	no	—
583	#466	—	11	1	no	—
584	#466	—	11	1	no	—
585	#466	—	11	1	no	—
586	#465	—	11	2	no	—
587	#463	—	11	2	no	—
588	#463	—	11	2	no	—
589	#463	—	11	2	no	—
590	#463	—	11	2	no	—
591	#460	—	11	2	no	—
592	#459	—	11	2	no	—
593	#450	—	11	2	no	—
594	#450	—	11	2	no	—
595	#449	—	11	2	no	—
596	#449	—	11	2	no	—
597	#447	—	11	2	no	—
598	#447	—	11	2	no	—
599	#446	C₂×D₁₁	1	1	yes	characteristic, complemented
600	C₈×Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
601	#442	—	11	2	no	—
602	#442	—	11	2	no	—
603	#442	—	11	2	no	—
604	#440	—	11	2	no	—
605	#440	—	11	2	no	—
606	#440	—	11	2	no	—
607	C₄×Q₁₆	—	11	1	no	—
608	C₄×Q₁₆	—	11	1	no	—
609	C₄×SD₁₆	—	11	2	no	—
610	C₄×D₈	—	11	1	no	—
611	C₄×D₈	—	11	1	no	—
612	C₄×D₈	—	11	2	no	—
613	C₄×D₈	—	11	2	no	—
614	C₄×D₈	—	11	1	no	—
615	C₄×D₈	—	11	1	no	—
616	C₄×D₈	—	11	1	no	—
617	C₄×D₈	—	11	1	no	—
618	C₄×D₈	—	11	1	no	—
619	C₄×D₈	—	11	1	no	—
620	#436	C₂×D₁₁	1	1	yes	characteristic, complemented
621	#435	C₂×D₁₁	1	1	yes	characteristic
622	#435	C₂×D₁₁	1	1	yes	characteristic, complemented
623	C₈×D₄	C₂×D₁₁	1	1	yes	characteristic
624	C₈×D₄	C₂×D₁₁	1	1	yes	characteristic, complemented
625	C₈×D₄	C₂×D₁₁	1	1	yes	characteristic, complemented
626	#433	C₂×D₁₁	1	1	yes	characteristic, complemented
627	#433	C₂×D₁₁	1	1	yes	characteristic, complemented
628	#432	C₂×D₁₁	1	1	yes	characteristic, complemented
629	#427	—	11	1	no	—
630	C₂×#107	—	11	1	no	—
631	C₂×#107	—	11	1	no	—
632	#418	—	11	2	no	—
633	#417	—	11	2	no	—
634	C₂×#102	—	11	2	no	—
635	#405	C₂×D₁₁	1	1	yes	characteristic, complemented
636	#405	C₂×D₁₁	1	1	yes	characteristic, complemented
637	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic, complemented
638	C₂²×C₁₁	—	2	1	no	—
639	C₂²×C₁₁	—	2	1	no	—
640	C₂²×C₁₁	—	2	1	no	—
641	C₂²×C₁₁	—	2	1	no	—
642	C₂²×C₁₁	—	2	1	no	—
643	C₂²×C₁₁	—	2	1	no	—
644	C₂²×C₁₁	—	2	1	no	—
645	C₂²×C₁₁	—	2	1	no	—
646	C₂²×C₁₁	#576	1	2	yes	—
647	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
648	C₂×D₁₁	—	2	4	no	—
649	C₂×D₁₁	—	4	2	no	—
650	C₂×D₁₁	—	4	2	no	—
651	C₂×D₁₁	—	4	2	no	—
652	C₂×D₁₁	—	4	2	no	—
653	C₂×D₁₁	—	4	2	no	—
654	C₂×D₁₁	—	4	2	no	—
655	C₂×D₁₁	—	4	2	no	—
656	C₂×D₁₁	—	4	2	no	—
657	C₂×D₁₁	—	8	8	no	—
658	C₂×D₁₁	—	16	4	no	—
659	C₄×C₁₁	—	2	1	no	—
660	C₄×C₁₁	—	2	1	no	—
661	C₄×C₁₁	—	2	1	no	—
662	C₄×C₁₁	—	2	1	no	—
663	C₄×C₁₁	—	2	1	no	—
664	C₄×C₁₁	—	2	1	no	—
665	C₄×C₁₁	—	2	1	no	—
666	C₄×C₁₁	—	2	1	no	—
667	C₄×C₁₁	—	2	1	no	—
668	C₄×C₁₁	—	2	1	no	—
669	C₄×C₁₁	—	2	1	no	—
670	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
671	C₄×C₁₁	#585	1	1	yes	characteristic
672	Dic₁₁	—	4	2	no	—
673	Dic₁₁	—	4	2	no	—
674	Dic₁₁	—	4	2	no	—
675	Dic₁₁	—	4	2	no	—
676	Dic₁₁	—	4	2	no	—
677	C₂×#41	—	11	2	no	—
678	C₂×#41	—	22	2	no	—
679	C₂²×D₄	—	11	2	no	—
680	C₂²×D₄	—	11	2	no	—
681	C₂²×D₄	—	22	2	no	—
682	C₂³×C₄	—	22	2	no	—
683	#135	—	22	4	no	—
684	C₂×Q₁₆	—	11	1	no	—
685	C₂×SD₁₆	—	11	2	no	—
686	C₂×SD₁₆	—	11	2	no	—
687	C₂×SD₁₆	—	11	2	no	—
688	C₂×D₈	—	11	1	no	—
689	C₂×D₈	—	11	2	no	—
690	C₂×D₈	—	11	1	no	—
691	C₂×D₈	—	11	1	no	—
692	C₂×D₈	—	11	2	no	—
693	C₂×D₈	—	11	2	no	—
694	C₂×D₈	—	22	4	no	—
695	C₂×D₈	—	22	4	no	—
696	C₂×M₁₆	C₂²×D₁₁	1	1	yes	characteristic
697	C₂×M₁₆	C₂²×D₁₁	1	1	yes	characteristic
698	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
699	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
700	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
701	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
702	C₄⋊Q₈	—	11	2	no	—
703	#127	—	11	2	no	—
704	#126	—	22	2	no	—
705	#126	—	22	2	no	—
706	#126	—	22	2	no	—
707	#126	—	22	2	no	—
708	#126	D₄₄	1	1	yes	characteristic
709	#126	D₄₄	1	1	yes	characteristic
710	#125	—	11	2	no	—
711	#125	—	11	2	no	—
712	#125	—	22	2	no	—
713	#125	D₄₄	1	1	yes	characteristic
714	#124	—	11	2	no	—
715	#124	—	11	2	no	—
716	#124	—	22	2	no	—
717	#124	—	22	2	no	—
718	#124	D₄₄	1	1	yes	characteristic
719	#123	—	22	2	no	—
720	#123	—	22	2	no	—
721	#123	—	22	2	no	—
722	#123	—	22	2	no	—
723	#123	—	22	2	no	—
724	#123	—	22	2	no	—
725	#123	—	22	2	no	—
726	#123	—	22	2	no	—
727	#123	—	22	2	no	—
728	#123	—	22	2	no	—
729	#123	—	22	2	no	—
730	#123	—	22	2	no	—
731	#123	D₄₄	1	1	yes	characteristic
732	#123	D₄₄	1	1	yes	characteristic
733	C₂²⋊Q₈	—	11	2	no	—
734	C₂²⋊Q₈	—	11	2	no	—
735	C₂²⋊Q₈	—	22	2	no	—
736	C₂²⋊Q₈	—	22	2	no	—
737	C₂²⋊Q₈	—	22	2	no	—
738	C₂²⋊Q₈	—	22	2	no	—
739	C₂²⋊Q₈	—	22	2	no	—
740	C₂²⋊Q₈	D₄₄	1	1	yes	characteristic
741	#121	—	11	2	no	—
742	#121	—	11	2	no	—
743	#121	—	11	2	no	—
744	#121	—	11	2	no	—
745	#121	—	22	2	no	—
746	#121	—	22	2	no	—
747	#121	—	22	2	no	—
748	#121	—	22	2	no	—
749	#121	—	22	2	no	—
750	#121	—	22	2	no	—
751	#121	D₄₄	1	1	yes	characteristic
752	#120	—	22	2	no	—
753	#120	—	22	2	no	—
754	#120	—	22	2	no	—
755	#120	—	22	2	no	—
756	C₄×Q₈	—	11	2	no	—
757	C₄×Q₈	—	11	2	no	—
758	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
759	C₄×D₄	—	11	2	no	—
760	C₄×D₄	—	11	2	no	—
761	C₄×D₄	—	11	2	no	—
762	C₄×D₄	—	11	2	no	—
763	C₄×D₄	—	11	2	no	—
764	C₄×D₄	—	11	2	no	—
765	C₄×D₄	—	11	2	no	—
766	C₄×D₄	—	11	2	no	—
767	C₄×D₄	—	22	2	no	—
768	C₄×D₄	—	22	2	no	—
769	C₄×D₄	—	22	2	no	—
770	C₄×D₄	—	22	2	no	—
771	C₄×D₄	—	22	2	no	—
772	C₄×D₄	—	22	2	no	—
773	C₄×D₄	—	22	2	no	—
774	C₄×D₄	—	22	2	no	—
775	C₄×D₄	—	22	2	no	—
776	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
777	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
778	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
779	#117	—	11	2	no	—
780	#117	—	22	2	no	—
781	#117	—	22	2	no	—
782	#117	—	22	2	no	—
783	#117	C₂²×D₁₁	1	1	yes	characteristic
784	#117	C₂²×D₁₁	1	1	yes	characteristic
785	C₂×C₄⋊C₄	—	11	2	no	—
786	C₂×C₄⋊C₄	—	11	2	no	—
787	C₂×C₄⋊C₄	—	22	2	no	—
788	C₂×C₄⋊C₄	—	22	2	no	—
789	C₂×C₂²⋊C₄	—	22	2	no	—
790	C₂×C₂²⋊C₄	—	22	2	no	—
791	C₂×C₂²⋊C₄	—	22	2	no	—
792	C₂×C₂²⋊C₄	—	22	2	no	—
793	C₂×C₂²⋊C₄	—	22	2	no	—
794	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
795	#107	—	11	1	no	—
796	#107	—	11	1	no	—
797	#107	—	11	2	no	—
798	#107	—	11	1	no	—
799	#107	—	11	2	no	—
800	#107	—	11	1	no	—
801	#107	—	11	2	no	—
802	#106	—	11	2	no	—
803	#106	—	11	2	no	—
804	#106	—	11	2	no	—
805	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
806	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
807	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
808	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
809	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
810	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
811	#103	—	11	2	no	—
812	#103	—	11	2	no	—
813	#103	—	11	2	no	—
814	#103	—	11	2	no	—
815	#102	—	11	2	no	—
816	#102	—	11	2	no	—
817	#102	—	11	2	no	—
818	#102	—	11	2	no	—
819	#102	—	11	2	no	—
820	#102	—	11	2	no	—
821	#102	—	11	2	no	—
822	#102	—	11	2	no	—
823	#102	—	11	2	no	—
824	#102	—	11	2	no	—
825	#102	—	11	2	no	—
826	#102	—	11	2	no	—
827	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
828	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
829	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
830	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
831	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
832	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
833	#97	C₂²×D₁₁	1	1	yes	characteristic
834	#97	C₂²×D₁₁	1	1	yes	characteristic
835	#97	C₂²×D₁₁	1	1	yes	characteristic
836	#97	C₂²×D₁₁	1	1	yes	characteristic
837	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
838	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
839	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
840	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
841	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
842	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
843	C₂×C₁₁	—	2	2	no	—
844	C₂×C₁₁	—	4	1	no	—
845	C₂×C₁₁	—	4	1	no	—
846	C₂×C₁₁	D₄×#41	1	1	yes	characteristic
847	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
848	C₂×C₁₁	#3584	1	1	yes	characteristic
849	D₁₁	—	4	4	no	—
850	D₁₁	—	8	2	no	—
851	D₁₁	—	8	2	no	—
852	C₂⁴	—	22	2	no	—
853	C₂⁴	—	22	2	no	—
854	#41	—	22	4	no	—
855	#41	—	44	2	no	—
856	#41	—	88	4	no	—
857	C₂×Q₈	—	11	2	no	—
858	C₂×Q₈	—	22	2	no	—
859	C₂×Q₈	C₂×D₄₄	1	1	yes	characteristic
860	C₂×D₄	—	11	2	no	—
861	C₂×D₄	—	11	2	no	—
862	C₂×D₄	—	11	2	no	—
863	C₂×D₄	—	22	4	no	—
864	C₂×D₄	—	22	4	no	—
865	C₂×D₄	—	22	2	no	—
866	C₂×D₄	—	22	2	no	—
867	C₂×D₄	—	22	2	no	—
868	C₂×D₄	—	22	2	no	—
869	C₂×D₄	—	22	2	no	—
870	C₂×D₄	—	22	2	no	—
871	C₂×D₄	—	22	2	no	—
872	C₂×D₄	—	22	2	no	—
873	C₂×D₄	—	22	2	no	—
874	C₂×D₄	—	44	2	no	—
875	C₂×D₄	—	44	2	no	—
876	C₂×D₄	—	88	4	no	—
877	C₂×D₄	C₂×D₄₄	1	1	yes	characteristic
878	C₂×D₄	C₂×D₄₄	1	1	yes	characteristic
879	C₂×D₄	C₂×D₄₄	1	1	yes	characteristic
880	C₂²×C₄	—	22	2	no	—
881	C₂²×C₄	—	22	2	no	—
882	C₂²×C₄	—	22	2	no	—
883	C₂²×C₄	—	22	2	no	—
884	C₂²×C₄	—	22	2	no	—
885	C₂²×C₄	—	22	2	no	—
886	C₂²×C₄	—	22	2	no	—
887	C₂²×C₄	—	22	2	no	—
888	C₂²×C₄	—	22	2	no	—
889	C₂²×C₄	—	22	2	no	—
890	C₂²×C₄	—	22	2	no	—
891	C₂²×C₄	—	88	4	no	—
892	C₂²×C₄	C₂×D₄₄	1	1	yes	characteristic
893	C₂²×C₄	C₂×D₄₄	1	1	yes	characteristic
894	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
895	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
896	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
897	Q₁₆	—	22	2	no	—
898	SD₁₆	—	22	4	no	—
899	SD₁₆	—	44	2	no	—
900	SD₁₆	—	44	2	no	—
901	D₈	—	11	4	no	—
902	D₈	—	22	4	no	—
903	D₈	—	22	4	no	—
904	D₈	—	22	2	no	—
905	D₈	—	22	2	no	—
906	D₈	—	44	2	no	—
907	M₁₆	—	4	1	no	—
908	M₁₆	—	4	1	no	—
909	C₂×C₈	—	2	2	no	—
910	C₂×C₈	—	2	2	no	—
911	C₂×C₈	—	2	2	no	—
912	C₂×C₈	—	4	1	no	—
913	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
914	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
915	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
916	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
917	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
918	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
919	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
920	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
921	C₄⋊C₄	—	11	2	no	—
922	C₄⋊C₄	—	11	2	no	—
923	C₄⋊C₄	—	11	2	no	—
924	C₄⋊C₄	—	11	2	no	—
925	C₄⋊C₄	—	22	2	no	—
926	C₄⋊C₄	—	22	2	no	—
927	C₄⋊C₄	—	22	2	no	—
928	C₄⋊C₄	—	22	2	no	—
929	C₄⋊C₄	—	22	2	no	—
930	C₄⋊C₄	—	22	2	no	—
931	C₄⋊C₄	—	22	2	no	—
932	C₄⋊C₄	—	22	2	no	—
933	C₄⋊C₄	—	22	2	no	—
934	C₄⋊C₄	—	22	2	no	—
935	C₄⋊C₄	—	22	2	no	—
936	C₄⋊C₄	C₂×D₄₄	1	1	yes	characteristic
937	C₄⋊C₄	C₂×D₄₄	1	1	yes	characteristic
938	C₄⋊C₄	C₂×D₄₄	1	1	yes	characteristic
939	C₄⋊C₄	C₂×D₄₄	1	1	yes	characteristic
940	C₄⋊C₄	C₂×D₄₄	1	1	yes	characteristic
941	C₄⋊C₄	C₂×D₄₄	1	1	yes	characteristic
942	C₄⋊C₄	C₂×D₄₄	1	1	yes	characteristic
943	C₄⋊C₄	C₂×D₄₄	1	1	yes	characteristic
944	C₄⋊C₄	C₂×D₄₄	1	1	yes	characteristic
945	C₄⋊C₄	C₂×D₄₄	1	1	yes	characteristic
946	C₂²⋊C₄	—	22	2	no	—
947	C₂²⋊C₄	—	22	2	no	—
948	C₂²⋊C₄	—	22	2	no	—
949	C₂²⋊C₄	—	22	2	no	—
950	C₂²⋊C₄	—	22	2	no	—
951	C₂²⋊C₄	—	22	2	no	—
952	C₂²⋊C₄	—	22	2	no	—
953	C₂²⋊C₄	—	22	2	no	—
954	C₂²⋊C₄	—	22	2	no	—
955	C₂²⋊C₄	—	22	2	no	—
956	C₂²⋊C₄	—	22	2	no	—
957	C₂²⋊C₄	—	22	2	no	—
958	C₂²⋊C₄	—	22	2	no	—
959	C₂²⋊C₄	—	22	2	no	—
960	C₂²⋊C₄	—	22	2	no	—
961	C₂²⋊C₄	—	22	2	no	—
962	C₂²⋊C₄	—	22	2	no	—
963	C₂²⋊C₄	—	22	2	no	—
964	C₂²⋊C₄	—	22	2	no	—
965	C₂²⋊C₄	C₂×D₄₄	1	1	yes	characteristic
966	C₂²⋊C₄	C₂×D₄₄	1	1	yes	characteristic
967	C₂²⋊C₄	C₂×D₄₄	1	1	yes	characteristic
968	C₂²⋊C₄	C₂×D₄₄	1	1	yes	characteristic
969	C₂²⋊C₄	C₂×D₄₄	1	1	yes	characteristic
970	C₂²⋊C₄	C₂×D₄₄	1	1	yes	characteristic
971	C₂²⋊C₄	C₂×D₄₄	1	1	yes	characteristic
972	C₂²⋊C₄	C₂×D₄₄	1	1	yes	characteristic
973	C₂²⋊C₄	C₂×D₄₄	1	1	yes	characteristic
974	C₂²⋊C₄	C₂×D₄₄	1	1	yes	characteristic
975	C₄²	—	22	2	no	—
976	C₄²	—	22	2	no	—
977	C₄²	—	22	2	no	—
978	C₄²	C₂×D₄₄	1	1	yes	characteristic
979	C₄²	C₂×D₄₄	1	1	yes	characteristic
980	C₄²	C₂³×D₁₁	1	1	yes	characteristic
981	C₄²	C₂³×D₁₁	1	1	yes	characteristic
982	C₄²	C₂³×D₁₁	1	1	yes	characteristic
983	C₄²	C₂³×D₁₁	1	1	yes	characteristic
984	C₁₁	#61471	1	1	yes	characteristic, complemented, Sylow
985	C₂³	—	22	2	no	—
986	C₂³	—	22	2	no	—
987	C₂³	—	22	2	no	—
988	C₂³	—	44	4	no	—
989	C₂³	—	44	4	no	—
990	C₂³	—	44	4	no	—
991	C₂³	—	88	2	no	—
992	C₂³	—	88	2	no	—
993	C₂³	—	88	2	no	—
994	C₂³	C₂²×D₄₄	1	1	yes	characteristic
995	C₂³	C₂²×D₄₄	1	1	yes	characteristic
996	C₂³	C₂²×D₄₄	1	1	yes	characteristic
997	Q₈	—	4	1	no	—
998	Q₈	—	22	2	no	—
999	Q₈	—	22	2	no	—
1000	Q₈	—	88	2	no	—
1001	D₄	—	2	2	no	—
1002	D₄	—	2	2	no	—
1003	D₄	—	4	1	no	—
1004	D₄	—	11	4	no	—
1005	D₄	—	22	2	no	—
1006	D₄	—	22	2	no	—
1007	D₄	—	22	2	no	—
1008	D₄	—	22	2	no	—
1009	D₄	—	22	2	no	—
1010	D₄	—	44	4	no	—
1011	D₄	—	44	4	no	—
1012	D₄	—	44	4	no	—
1013	D₄	—	44	4	no	—
1014	D₄	—	88	2	no	—
1015	D₄	—	88	2	no	—
1016	D₄	—	88	2	no	—
1017	D₄	—	88	2	no	—
1018	D₄	—	88	2	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	4	1	no	—
1027	C₂×C₄	—	22	2	no	—
1028	C₂×C₄	—	22	2	no	—
1029	C₂×C₄	—	22	2	no	—
1030	C₂×C₄	—	22	2	no	—
1031	C₂×C₄	—	22	2	no	—
1032	C₂×C₄	—	44	4	no	—
1033	C₂×C₄	—	44	4	no	—
1034	C₂×C₄	—	88	2	no	—
1035	C₂×C₄	—	88	2	no	—
1036	C₂×C₄	—	88	2	no	—
1037	C₂×C₄	—	88	2	no	—
1038	C₂×C₄	—	88	2	no	—
1039	C₂×C₄	—	88	2	no	—
1040	C₂×C₄	—	88	2	no	—
1041	C₂×C₄	—	88	2	no	—
1042	C₂×C₄	—	88	2	no	—
1043	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1044	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1045	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1046	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1047	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1048	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1049	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1050	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1051	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1052	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1053	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
1054	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1055	C₈	—	2	1	no	—
1056	C₈	—	2	1	no	—
1057	C₈	—	2	1	no	—
1058	C₈	—	2	1	no	—
1059	C₈	—	2	1	no	—
1060	C₈	—	2	1	no	—
1061	C₈	—	2	1	no	—
1062	C₈	#41×D₁₁	1	2	yes	—
1063	C₂²	—	2	1	no	—
1064	C₂²	—	2	1	no	—
1065	C₂²	—	2	1	no	—
1066	C₂²	—	2	1	no	—
1067	C₂²	—	2	1	no	—
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	22	4	no	—
1072	C₂²	—	44	2	no	—
1073	C₂²	—	44	2	no	—
1074	C₂²	—	44	2	no	—
1075	C₂²	—	44	2	no	—
1076	C₂²	—	44	2	no	—
1077	C₂²	—	44	2	no	—
1078	C₂²	—	44	2	no	—
1079	C₂²	—	44	2	no	—
1080	C₂²	—	88	8	no	—
1081	C₂²	—	176	4	no	—
1082	C₂²	#10623283	1	2	yes	—
1083	C₂²	C₂³×D₄₄	1	1	yes	characteristic
1084	C₄	—	2	1	no	—
1085	C₄	—	2	1	no	—
1086	C₄	—	2	1	no	—
1087	C₄	—	2	1	no	—
1088	C₄	—	2	1	no	—
1089	C₄	—	2	1	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	1	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	1	no	—
1095	C₄	—	44	2	no	—
1096	C₄	—	44	2	no	—
1097	C₄	—	44	2	no	—
1098	C₄	—	44	2	no	—
1099	C₄	—	44	2	no	—
1100	C₄	C₂×#41×D₁₁	1	1	yes	characteristic
1101	C₄	#10623453	1	1	yes	characteristic
1102	C₂	—	2	2	no	—
1103	C₂	—	4	1	no	—
1104	C₂	—	4	1	no	—
1105	C₂	—	44	4	no	—
1106	C₂	—	88	2	no	—
1107	C₂	—	88	2	no	—
1108	C₂	#41×D₄₄	1	1	yes	characteristic
1109	C₂	C₂×#10623283	1	1	yes	characteristic
1110	C₂	#13083390	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×D₄₄
commutator, cosocle	C₂×C₄×C₁₁	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₁
Fitting	C₁₁×#2966	C₂
socle	C₂²×C₁₁	C₂³×D₄
hypercenter	#2966	D₁₁
hypocenter	C₁₁	#61471
LCS	G ▷ C₂×C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ #529 ◁ #2966

Complements

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

N	H ≅ G/N	type
1. #13082560	C₂	semidirect
2. #13081629	C₂	semidirect
3. #13081484	C₂	semidirect
4. #13081371	C₂	semidirect
5. #13081019	C₂	semidirect
6. #13080985	C₂	semidirect
7. #13080964	C₂	semidirect
8. #13080819	C₂	semidirect
9. #13080639	C₂	semidirect
10. #13080579	C₂	semidirect
11. #13080303	C₂	semidirect
12. #13080303	C₂	semidirect
13. D₄×D₈₈	C₂	semidirect
14. #13079266	C₂	semidirect
15. #13079255	C₂	semidirect
16. #13079186	C₂	semidirect
17. #13078817	C₂	semidirect
18. #13078802	C₂	semidirect
19. #13078756	C₂	semidirect
20. #13077493	C₂	semidirect
21. #13077469	C₂	semidirect
22. C₂×C₄×D₈₈	C₂	semidirect
23. C₁₁×#2966	C₂	semidirect
36. #10623116	C₂²	semidirect
37. #10623110	C₂²	semidirect
38. #10623096	C₂²	semidirect
39. #10623086	C₂²	semidirect
40. #10623081	C₂²	semidirect
41. #10623081	C₂²	semidirect
44. #10623066	C₂²	semidirect
45. #10623065	C₂²	semidirect
46. #10623054	C₂²	semidirect
47. #10623052	C₂²	semidirect
48. #10623010	C₂²	semidirect
49. C₂×C₄×D₄₄	C₂²	semidirect
50. C₁₁×#446	C₂²	semidirect
51. C₈×Q₈×C₁₁	C₂²	semidirect
52. C₁₁×#436	C₂²	semidirect
54. C₁₁×#435	C₂²	semidirect
56. C₈×D₄×C₁₁	C₂²	semidirect
57. C₈×D₄×C₁₁	C₂²	semidirect
58. C₁₁×#433	C₂²	semidirect
59. C₁₁×#433	C₂²	semidirect
60. C₁₁×#432	C₂²	semidirect
61. C₁₁×#405	C₂²	semidirect
62. C₁₁×#405	C₂²	semidirect
63. C₂×C₄×C₈×C₁₁	C₂²	semidirect
64. #10622748	C₂²	semidirect
65. #10622747	C₂²	semidirect
66. #10622746	C₂²	semidirect
67. #10622744	C₂²	semidirect
68. #10622729	C₂²	semidirect
69. #10622729	C₂²	semidirect
72. #10622728	C₂²	semidirect
73. #10622728	C₂²	semidirect
74. #10622727	C₂²	semidirect
75. C₂×#66885	C₂²	semidirect
76. #10622719	C₂²	semidirect
77. C₂×#66882	C₂²	semidirect
78. C₂×#66882	C₂²	semidirect
79. #10622461	C₂²	semidirect
80. #10622460	C₂²	semidirect
81. #10622460	C₂²	semidirect
82. #10622460	C₂²	semidirect
83. #10622459	C₂²	semidirect
84. #10622457	C₂²	semidirect
85. #10622457	C₂²	semidirect
86. #10622457	C₂²	semidirect
87. #10622457	C₂²	semidirect
89. #10622455	C₂²	semidirect
90. #10622442	C₂²	semidirect
91. #10622350	C₂²	semidirect
92. #10622349	C₂²	semidirect
93. #10622349	C₂²	semidirect
94. #10622348	C₂²	semidirect
95. #10622347	C₂²	semidirect
96. #10622347	C₂²	semidirect
99. #10622344	C₂²	semidirect
100. #10622344	C₂²	semidirect
101. #10622336	C₂²	semidirect
102. #10622334	C₂²	semidirect
103. #10622327	C₂²	semidirect
104. #10622326	C₂²	semidirect
105. #10622324	C₂²	semidirect
106. #10622324	C₂²	semidirect
107. #10622324	C₂²	semidirect
108. #10622323	C₂²	semidirect
109. #10622323	C₂²	semidirect
110. #10622323	C₂²	semidirect
111. C₄×Dic₄₄	C₂²	semidirect
112. C₄×Dic₄₄	C₂²	semidirect
113. #10622310	C₂²	semidirect
114. #10622309	C₂²	semidirect
115. #10622309	C₂²	semidirect
121. C₄×D₈₈	C₂²	semidirect
122. C₄×D₈₈	C₂²	semidirect
123. C₄×D₈₈	C₂²	semidirect
124. C₄×D₈₈	C₂²	semidirect
125. C₄×D₈₈	C₂²	semidirect
126. C₄×D₈₈	C₂²	semidirect
127. C₄×#4314	C₂²	semidirect
128. #10622296	C₂²	semidirect
129. #10622296	C₂²	semidirect
130. #10622295	C₂²	semidirect
426. D₈₈	#41	semidirect
449. #2966	D₁₁	semidirect
599. #446	C₂×D₁₁	semidirect
600. C₈×Q₈	C₂×D₁₁	semidirect
620. #436	C₂×D₁₁	semidirect
622. #435	C₂×D₁₁	semidirect
624. C₈×D₄	C₂×D₁₁	semidirect
625. C₈×D₄	C₂×D₁₁	semidirect
626. #433	C₂×D₁₁	semidirect
627. #433	C₂×D₁₁	semidirect
628. #432	C₂×D₁₁	semidirect
635. #405	C₂×D₁₁	semidirect
636. #405	C₂×D₁₁	semidirect
637. C₂×C₄×C₈	C₂×D₁₁	semidirect
984. C₁₁	#61471	semidirect

Maximal subgroups

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

subgroup	index
#13082560	2
#13081629	2
#13081484	2
#13081371	2
#13081019	2
#13080985	2
#13080964	2
#13080819	2
#13080639	2
#13080579	2
#13080303	2
D₄×D₈₈	2
#13079266	2
#13079255	2
#13079186	2
#13078817	2
#13078802	2
#13078756	2
#13077493	2
#13077469	2
C₂×C₄×D₈₈	2
C₁₁×#2966	2
#61471	11