Subgroups — #15620030

Order 2816.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1090 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13082043	C₂	1	1	yes	maximal, characteristic
2	#13077787	C₂	1	2	yes	maximal, complemented
3	#13077782	C₂	1	2	yes	maximal, complemented
4	#13077778	C₂	1	1	yes	maximal, characteristic, complemented
5	#13077767	C₂	1	1	yes	maximal, characteristic, complemented
6	#13077762	C₂	1	2	yes	maximal, complemented
7	#13077745	C₂	1	1	yes	maximal, characteristic, complemented
8	#13077733	C₂	1	1	yes	maximal, characteristic, complemented
9	#13077717	C₂	1	1	yes	maximal, characteristic, complemented
10	#13077710	C₂	1	1	yes	maximal, characteristic, complemented
11	#13077709	C₂	1	2	yes	maximal, complemented
12	#13077703	C₂	1	1	yes	maximal, characteristic, complemented
13	#13077631	C₂	1	1	yes	maximal, characteristic, complemented
14	#13077620	C₂	1	1	yes	maximal, characteristic, complemented
15	#13077613	C₂	1	2	yes	maximal, complemented
16	#13077607	C₂	1	2	yes	maximal, complemented
17	#13077602	C₂	1	2	yes	maximal, complemented
18	#13077591	C₂	1	1	yes	maximal, characteristic, complemented
19	M₁₆×Dic₂₂	C₂	1	1	yes	maximal, characteristic, complemented
20	#13077563	C₂	1	1	yes	maximal, characteristic, complemented
21	#13077552	C₂	1	2	yes	maximal, complemented
22	#13077550	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2965	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
25	#10623364	C₄	1	1	yes	characteristic
26	#10623356	C₄	1	1	yes	characteristic
27	#10623114	C₄	1	2	yes	—
28	#10623109	C₂²	1	2	yes	—
29	#10623095	C₄	1	2	yes	—
30	#10623095	C₄	1	2	yes	—
31	#10623092	C₄	1	2	yes	—
32	#10623088	C₂²	1	2	yes	—
33	#10623069	C₂²	1	2	yes	—
34	#10623069	C₂²	1	2	yes	—
35	#10623065	C₄	1	1	yes	characteristic
36	#10623065	C₄	1	1	yes	characteristic
37	#10623057	C₄	1	1	yes	characteristic
38	#10623050	C₄	1	1	yes	characteristic
39	#10623049	C₄	1	1	yes	characteristic
40	#10623049	C₄	1	1	yes	characteristic
41	#10623010	C₂²	1	1	yes	characteristic
42	#10623010	C₂²	1	1	yes	characteristic
43	C₄×#4339	C₂²	1	1	yes	characteristic
44	#10623001	C₂²	1	1	yes	characteristic
45	#10623001	C₂²	1	1	yes	characteristic
46	C₂×C₄×Dic₂₂	C₂²	1	1	yes	characteristic
47	C₁₁×#446	C₂²	1	1	yes	characteristic
48	C₁₁×#446	C₂²	1	1	yes	characteristic
49	C₁₁×#436	C₂²	1	1	yes	characteristic
50	C₁₁×#436	C₂²	1	1	yes	characteristic
51	C₁₁×#435	C₂²	1	1	yes	characteristic
52	C₁₁×#435	C₂²	1	1	yes	characteristic
53	C₁₁×#435	C₂²	1	1	yes	characteristic
54	C₁₁×#435	C₂²	1	1	yes	characteristic
55	C₁₁×#431	C₂²	1	1	yes	characteristic
56	C₁₁×#431	C₂²	1	1	yes	characteristic
57	C₁₁×#431	C₂²	1	1	yes	characteristic
58	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
59	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
60	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
61	#10622741	C₂²	1	2	yes	—
62	#10622740	C₂²	1	2	yes	—
63	#10622740	C₂²	1	2	yes	—
64	#10622740	C₂²	1	2	yes	—
65	#10622735	C₂²	1	2	yes	—
66	#10622732	C₂²	1	2	yes	—
67	#10622731	C₂²	1	2	yes	—
68	M₁₆×Dic₁₁	C₂²	1	2	yes	—
69	#10622724	C₂²	1	2	yes	—
70	C₈×C₂²⋊D₁₁	C₂²	1	2	yes	—
71	#10622715	C₂²	1	2	yes	—
72	#10622714	C₂²	1	2	yes	—
73	#10622637	C₂²	1	2	yes	—
74	#10622625	C₂²	1	2	yes	—
75	#10622624	C₂²	1	2	yes	—
76	#10622624	C₂²	1	2	yes	—
77	#10622539	C₂²	1	1	yes	characteristic
78	#10622539	C₂²	1	1	yes	characteristic
79	#10622538	C₂²	1	1	yes	characteristic
80	#10622537	C₂²	1	1	yes	characteristic
81	#10622537	C₂²	1	1	yes	characteristic
82	C₂×C₄⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic
83	#10622453	C₂²	1	2	yes	—
84	#10622453	C₂²	1	2	yes	—
85	#10622452	C₂²	1	2	yes	—
86	#10622452	C₂²	1	2	yes	—
87	#10622450	C₂²	1	2	yes	—
88	#10622446	C₂²	1	2	yes	—
89	#10622444	C₂²	1	2	yes	—
90	#10622443	C₂²	1	2	yes	—
91	#10622441	C₂²	1	2	yes	—
92	#10622441	C₂²	1	2	yes	—
93	#10622441	C₂²	1	2	yes	—
94	#10622441	C₂²	1	2	yes	—
95	#10622343	C₂²	1	2	yes	—
96	#10622342	C₂²	1	2	yes	—
97	#10622342	C₂²	1	2	yes	—
98	#10622342	C₂²	1	2	yes	—
99	#10622341	C₂²	1	2	yes	—
100	(C₂²⋊D₁₁)⋊C₈	C₂²	1	2	yes	—
101	#10622333	C₂²	1	2	yes	—
102	#10622333	C₂²	1	2	yes	—
103	#10622333	C₂²	1	2	yes	—
104	#10622333	C₂²	1	2	yes	—
105	#10622332	C₂²	1	2	yes	—
106	#10622331	C₂²	1	2	yes	—
107	#10622322	C₂²	1	2	yes	—
108	#10622321	C₂²	1	2	yes	—
109	#10622318	C₂²	1	2	yes	—
110	D₁₁×#97	C₂²	1	2	yes	—
111	#10622314	C₂²	1	2	yes	—
112	#10622314	C₂²	1	2	yes	—
113	#10622314	C₂²	1	2	yes	—
114	#10622314	C₂²	1	2	yes	—
115	#10622303	C₂²	1	2	yes	—
116	#10622302	C₂²	1	2	yes	—
117	#10622301	C₂²	1	1	yes	characteristic
118	#10622301	C₂²	1	1	yes	characteristic
119	C₈×D₄₄	C₂²	1	1	yes	characteristic
120	C₈×D₄₄	C₂²	1	1	yes	characteristic
121	#10622292	C₂²	1	1	yes	characteristic
122	#10622292	C₂²	1	1	yes	characteristic
123	#10622292	C₂²	1	2	yes	—
124	#10622292	C₂²	1	1	yes	characteristic
125	#10622292	C₂²	1	1	yes	characteristic
126	#10622292	C₂²	1	1	yes	characteristic
127	#10622292	C₂²	1	1	yes	characteristic
128	C₈×Dic₂₂	C₂²	1	2	yes	—
129	C₈×Dic₂₂	C₂²	1	1	yes	characteristic
130	C₈×Dic₂₂	C₂²	1	1	yes	characteristic
131	C₈×Dic₂₂	C₂²	1	1	yes	characteristic
132	C₈×Dic₂₂	C₂²	1	1	yes	characteristic
133	C₈×Dic₂₂	C₂²	1	1	yes	characteristic
134	C₈×Dic₂₂	C₂²	1	1	yes	characteristic
135	C₂×C₁₁×#41	C₂×C₄	1	1	yes	characteristic
136	C₂×#4339	C₂×C₄	1	1	yes	characteristic
137	C₂²×Dic₂₂	C₂×C₄	1	1	yes	characteristic
138	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
139	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
140	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
141	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
142	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
143	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
144	C₄×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
145	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
146	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
147	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
148	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
149	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
150	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
151	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
152	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
153	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
154	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
155	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
156	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
157	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
158	#66999	C₂×C₄	1	2	yes	—
159	#66997	C₂×C₄	1	2	yes	—
160	#66992	C₂×C₄	1	2	yes	—
161	#66992	C₂×C₄	1	2	yes	—
162	#66991	C₂×C₄	1	2	yes	—
163	#66989	C₂×C₄	1	2	yes	—
164	#66988	C₂×C₄	1	2	yes	—
165	#66988	C₂×C₄	1	2	yes	—
166	#66983	C₂×C₄	1	1	yes	characteristic
167	#66983	C₂×C₄	1	1	yes	characteristic
168	#66982	C₂×C₄	1	2	yes	—
169	#66982	C₂×C₄	1	2	yes	—
170	C₄×C₂²⋊D₁₁	C₂×C₄	1	2	yes	—
171	C₄×C₂²⋊D₁₁	C₂³	1	2	yes	—
172	C₄×C₂²⋊D₁₁	C₂³	1	2	yes	—
173	C₄×C₂²⋊D₁₁	C₂³	1	2	yes	—
174	#66979	C₂×C₄	1	1	yes	characteristic
175	#66979	C₂³	1	2	yes	—
176	#66979	C₂³	1	2	yes	—
177	C₂×C₄⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
178	#66977	C₂×C₄	1	1	yes	characteristic
179	#66977	C₂×C₄	1	1	yes	characteristic
180	#66977	C₂×C₄	1	1	yes	characteristic
181	#66977	C₂×C₄	1	1	yes	characteristic
182	#66977	C₂×C₄	1	2	yes	—
183	#66977	C₂×C₄	1	2	yes	—
184	#66977	C₂×C₄	1	1	yes	characteristic
185	#66977	C₂×C₄	1	1	yes	characteristic
186	C₂×Dic₁₁⋊C₄	C₂×C₄	1	2	yes	—
187	C₂×C₄×Dic₁₁	C₂³	1	2	yes	—
188	C₂×#4318	C₂³	1	2	yes	—
189	C₂×#4318	C₂³	1	2	yes	—
190	C₂²×C₁₁⋊C₈	C₂³	1	2	yes	—
191	C₂×#4313	C₂³	1	2	yes	—
192	C₂×#4313	C₂³	1	2	yes	—
193	C₂×C₈×D₁₁	C₂³	1	2	yes	—
194	C₂×C₈×D₁₁	C₂³	1	2	yes	—
195	#66951	C₂×C₄	1	2	yes	—
196	#66951	C₂×C₄	1	2	yes	—
197	#66950	C₂×C₄	1	2	yes	—
198	#66950	C₂×C₄	1	2	yes	—
199	#66949	C₂×C₄	1	2	yes	—
200	#66949	C₂×C₄	1	2	yes	—
201	#66943	C₂×C₄	1	2	yes	—
202	#66942	C₂×C₄	1	2	yes	—
203	#66942	C₂×C₄	1	2	yes	—
204	#66942	C₂×C₄	1	2	yes	—
205	#66942	C₂×C₄	1	2	yes	—
206	#66941	C₂×C₄	1	2	yes	—
207	#66939	C₂×C₄	1	2	yes	—
208	#66939	C₂×C₄	1	2	yes	—
209	#66938	C₂×C₄	1	2	yes	—
210	#66938	C₂×C₄	1	2	yes	—
211	#66936	C₂×C₄	1	2	yes	—
212	#66936	C₂×C₄	1	2	yes	—
213	#66932	C₂×C₄	1	2	yes	—
214	#66932	C₂×C₄	1	2	yes	—
215	#66932	C₂×C₄	1	2	yes	—
216	#66932	C₂×C₄	1	2	yes	—
217	#66931	C₂×C₄	1	2	yes	—
218	#66931	C₂×C₄	1	2	yes	—
219	#66929	C₂×C₄	1	2	yes	—
220	#66929	C₂×C₄	1	2	yes	—
221	#66928	C₂×C₄	1	1	yes	characteristic
222	#66928	C₂×C₄	1	1	yes	characteristic
223	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
224	C₄×D₄₄	C₂³	1	1	yes	characteristic
225	#66925	C₂×C₄	1	2	yes	—
226	#66925	C₂³	1	2	yes	—
227	#66925	C₂³	1	2	yes	—
228	C₄²×D₁₁	C₂³	1	2	yes	—
229	#66923	C₂×C₄	1	2	yes	—
230	#66923	C₂×C₄	1	2	yes	—
231	#66923	C₂×C₄	1	1	yes	characteristic
232	#66923	C₂×C₄	1	1	yes	characteristic
233	#66922	C₂×C₄	1	1	yes	characteristic
234	#66922	C₂×C₄	1	1	yes	characteristic
235	#66922	C₂×C₄	1	1	yes	characteristic
236	#66922	C₂×C₄	1	1	yes	characteristic
237	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
238	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
239	C₄×Dic₂₂	C₂×C₄	1	2	yes	—
240	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
241	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
242	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
243	C₄×Dic₂₂	C₂³	1	2	yes	—
244	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
245	C₄×Dic₂₂	C₂³	1	2	yes	—
246	C₄×Dic₂₂	C₂³	1	2	yes	—
247	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
248	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
254	C₁₁×C₂²⋊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×#97	C₂³	1	1	yes	characteristic
260	C₁₁×#97	C₂³	1	1	yes	characteristic
261	C₁₁×#97	C₂³	1	1	yes	characteristic
262	C₁₁×#97	C₂³	1	1	yes	characteristic
263	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
264	C₄×C₈×C₁₁	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	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
270	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
271	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
272	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
274	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
275	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
276	#66879	C₂³	1	2	yes	—
277	#66879	C₂³	1	2	yes	—
278	#66879	C₂³	1	2	yes	—
279	#66879	C₂³	1	2	yes	—
280	#66879	C₂³	1	2	yes	—
281	#66879	C₂³	1	2	yes	—
282	Dic₁₁⋊C₈	C₂³	1	2	yes	—
283	Dic₁₁⋊C₈	C₂³	1	2	yes	—
284	Dic₁₁⋊C₈	C₂³	1	2	yes	—
285	Dic₁₁⋊C₈	C₂³	1	2	yes	—
286	Dic₁₁⋊C₈	C₂³	1	2	yes	—
287	Dic₁₁⋊C₈	C₂³	1	2	yes	—
288	Dic₁₁⋊C₈	C₂³	1	2	yes	—
289	Dic₁₁⋊C₈	C₂³	1	2	yes	—
290	Dic₁₁⋊C₈	C₂³	1	2	yes	—
291	Dic₁₁⋊C₈	C₂³	1	2	yes	—
292	Dic₁₁⋊C₈	C₂³	1	2	yes	—
293	Dic₁₁⋊C₈	C₂³	1	2	yes	—
294	C₈×Dic₁₁	C₂³	1	2	yes	—
295	C₈×Dic₁₁	C₂³	1	2	yes	—
296	C₈×Dic₁₁	C₂³	1	2	yes	—
297	C₈×Dic₁₁	C₂³	1	2	yes	—
298	C₈×Dic₁₁	C₂³	1	2	yes	—
299	C₈×Dic₁₁	C₂³	1	2	yes	—
300	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
301	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
302	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
303	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
304	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
305	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
306	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
307	#66867	C₂³	1	2	yes	—
308	#66867	C₂³	1	2	yes	—
309	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
310	#60344	—	11	1	no	maximal, Sylow
311	C₁₁×#41	—	4	2	no	—
312	C₂×Q₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
313	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
314	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
315	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
316	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
317	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
318	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
319	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
320	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
321	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
322	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
325	C₂×C₂²⋊D₁₁	C₂²×C₄	1	2	yes	—
326	C₂×C₂²⋊D₁₁	C₂²×C₄	1	2	yes	—
327	C₂×C₂²⋊D₁₁	C₂²×C₄	1	2	yes	—
328	C₂²×Dic₁₁	C₂²×C₄	1	2	yes	—
329	C₂²×Dic₁₁	C₂²×C₄	1	2	yes	—
330	#4339	—	4	2	no	—
331	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
332	C₂×C₄×D₁₁	C₂²×C₄	1	2	yes	—
333	C₂×C₄×D₁₁	C₂²×C₄	1	2	yes	—
334	C₂×C₄×D₁₁	C₂⁴	1	2	yes	—
335	C₂×Dic₂₂	—	4	2	no	—
336	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
337	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
338	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
339	C₂×Dic₂₂	C₂²×C₄	1	2	yes	—
340	C₂×Dic₂₂	C₂²×C₄	1	2	yes	—
341	C₂×Dic₂₂	C₂²×C₄	1	2	yes	—
342	C₁₁×M₁₆	—	2	2	no	—
343	C₁₁×M₁₆	—	2	2	no	—
344	C₁₁×M₁₆	—	4	1	no	—
345	C₁₁×M₁₆	—	4	1	no	—
346	C₂×C₈×C₁₁	—	2	2	no	—
347	C₂×C₈×C₁₁	—	4	1	no	—
348	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
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	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
357	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
358	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
359	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
360	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
361	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
362	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
363	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
364	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
365	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
366	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
367	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
368	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
369	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
370	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
371	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
372	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
373	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
374	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
375	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
376	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
377	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
378	C₂²⋊Dic₁₁	C₂²×C₄	1	2	yes	—
379	C₂²⋊Dic₁₁	C₂²×C₄	1	2	yes	—
380	C₂²⋊Dic₁₁	C₂²×C₄	1	2	yes	—
381	C₂²⋊Dic₁₁	C₂²×C₄	1	2	yes	—
382	C₂²⋊Dic₁₁	C₂²×C₄	1	2	yes	—
383	C₂²⋊Dic₁₁	C₂²×C₄	1	2	yes	—
384	C₂²⋊Dic₁₁	C₂²×C₄	1	2	yes	—
385	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	2	yes	—
386	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	2	yes	—
387	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	2	yes	—
388	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	2	yes	—
389	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	2	yes	—
390	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	2	yes	—
391	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	2	yes	—
392	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	2	yes	—
393	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
394	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
395	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
396	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
397	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
398	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
399	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
400	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
401	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
402	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
403	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
404	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
405	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
406	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
407	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
408	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
409	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
410	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
411	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
412	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
413	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
414	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
415	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
416	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
417	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
418	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
419	Dic₁₁⋊C₄	C₂²×C₄	1	2	yes	—
420	C₄×Dic₁₁	C₂²×C₄	1	2	yes	—
421	C₄×Dic₁₁	C₂²×C₄	1	2	yes	—
422	C₄×Dic₁₁	C₂²×C₄	1	2	yes	—
423	C₄×Dic₁₁	C₂²×C₄	1	2	yes	—
424	C₄×Dic₁₁	C₂⁴	1	2	yes	—
425	C₄×Dic₁₁	C₂⁴	1	2	yes	—
426	C₄×Dic₁₁	C₂⁴	1	2	yes	—
427	#4318	—	4	2	no	—
428	#4318	—	4	2	no	—
429	C₂×C₁₁⋊C₈	—	4	2	no	—
430	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
431	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
432	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
433	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
434	#4313	—	4	2	no	—
435	#4313	—	4	2	no	—
436	C₈×D₁₁	—	2	4	no	—
437	C₈×D₁₁	—	4	2	no	—
438	#3461	—	11	1	no	—
439	#2995	—	11	2	no	—
440	#2995	—	11	2	no	—
441	#2994	—	11	1	no	—
442	#2993	—	11	2	no	—
443	#2993	—	11	1	no	—
444	#2991	—	11	1	no	—
445	#2989	—	11	1	no	—
446	#2986	—	11	1	no	—
447	#2985	—	11	2	no	—
448	#2985	—	11	1	no	—
449	#2984	—	11	1	no	—
450	#2970	—	11	1	no	—
451	#2969	—	11	2	no	—
452	#2969	—	11	1	no	—
453	#2968	—	11	2	no	—
454	#2967	—	11	2	no	—
455	#2966	—	11	1	no	—
456	#2965	D₁₁	1	1	yes	characteristic, complemented
457	Q₈×M₁₆	—	11	1	no	—
458	#2962	—	11	1	no	—
459	#2961	—	11	2	no	—
460	#2960	—	11	1	no	—
461	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
462	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
463	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
464	C₂²×D₁₁	C₂³×C₄	1	2	yes	—
465	Q₈×C₁₁	—	4	1	no	—
466	D₄×C₁₁	—	4	1	no	—
467	D₄×C₁₁	—	4	1	no	—
468	D₄×C₁₁	—	4	1	no	—
469	C₂×C₄×C₁₁	—	2	2	no	—
470	C₂×C₄×C₁₁	—	2	2	no	—
471	C₂×C₄×C₁₁	—	2	2	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	—	2	1	no	—
477	C₂×C₄×C₁₁	—	2	1	no	—
478	C₂×C₄×C₁₁	—	4	1	no	—
479	C₂×C₄×C₁₁	—	4	1	no	—
480	C₂×C₄×C₁₁	—	4	1	no	—
481	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
482	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
483	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
484	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
485	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
486	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
487	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
488	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
489	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
490	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
491	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
492	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
493	C₂²⋊D₁₁	—	4	2	no	—
494	C₂²⋊D₁₁	—	4	2	no	—
495	C₂²⋊D₁₁	—	4	2	no	—
496	C₂×Dic₁₁	—	4	2	no	—
497	C₂×Dic₁₁	—	4	2	no	—
498	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
499	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
500	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
501	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
502	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
503	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
504	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
505	D₄₄	—	2	2	no	—
506	C₄×D₁₁	—	2	2	no	—
507	C₄×D₁₁	—	2	2	no	—
508	C₄×D₁₁	—	4	2	no	—
509	C₄×D₁₁	—	4	2	no	—
510	Dic₂₂	—	2	2	no	—
511	Dic₂₂	—	2	2	no	—
512	Dic₂₂	—	2	2	no	—
513	Dic₂₂	—	4	2	no	—
514	Dic₂₂	—	4	2	no	—
515	Dic₂₂	—	4	2	no	—
516	C₈×C₁₁	—	2	1	no	—
517	C₈×C₁₁	—	2	1	no	—
518	C₈×C₁₁	—	2	1	no	—
519	C₈×C₁₁	—	2	1	no	—
520	C₈×C₁₁	—	2	1	no	—
521	C₈×C₁₁	—	2	1	no	—
522	C₈×C₁₁	—	2	1	no	—
523	C₈×C₁₁	2₋¹⁺⁴	1	2	yes	—
524	C₁₁⋊C₈	—	2	2	no	—
525	C₁₁⋊C₈	—	2	2	no	—
526	C₁₁⋊C₈	—	2	2	no	—
527	C₁₁⋊C₈	—	2	2	no	—
528	#544	—	11	1	no	—
529	#542	—	11	2	no	—
530	#542	—	11	1	no	—
531	#542	—	11	1	no	—
532	#541	—	11	2	no	—
533	#541	—	11	1	no	—
534	#541	—	11	1	no	—
535	#539	—	11	2	no	—
536	#539	—	11	2	no	—
537	#537	—	11	1	no	—
538	#536	—	11	1	no	—
539	#536	—	11	1	no	—
540	#533	—	11	2	no	—
541	#533	—	11	1	no	—
542	#533	—	11	1	no	—
543	#529	—	11	2	no	—
544	#529	—	11	2	no	—
545	#529	—	11	2	no	—
546	#529	—	11	1	no	—
547	#529	—	11	1	no	—
548	C₄×#41	—	11	1	no	—
549	C₄×#41	C₂×D₁₁	1	1	yes	characteristic
550	C₂×C₄×Q₈	—	11	1	no	—
551	#446	—	11	2	no	—
552	#446	—	11	2	no	—
553	#446	—	11	2	no	—
554	#446	—	11	2	no	—
555	#446	—	11	2	no	—
556	#446	—	11	2	no	—
557	#446	—	11	2	no	—
558	#446	—	11	2	no	—
559	#446	—	11	2	no	—
560	#446	—	11	2	no	—
561	#446	—	11	2	no	—
562	#446	—	11	1	no	—
563	#446	—	11	1	no	—
564	#446	—	11	1	no	—
565	#446	—	11	1	no	—
566	#446	—	11	1	no	—
567	#446	—	11	1	no	—
568	#446	C₂×D₁₁	1	1	yes	characteristic
569	#446	C₂×D₁₁	1	1	yes	characteristic
570	C₈×Q₈	—	11	2	no	—
571	C₈×Q₈	—	11	1	no	—
572	C₈×Q₈	—	11	2	no	—
573	C₈×Q₈	—	11	1	no	—
574	C₈×Q₈	—	11	1	no	—
575	C₈×Q₈	—	11	1	no	—
576	C₈×Q₈	—	11	1	no	—
577	C₈×Q₈	—	11	1	no	—
578	#436	—	11	2	no	—
579	#436	—	11	2	no	—
580	#436	—	11	2	no	—
581	#436	—	11	2	no	—
582	#436	—	11	2	no	—
583	#436	—	11	1	no	—
584	#436	—	11	1	no	—
585	#436	C₂×D₁₁	1	1	yes	characteristic
586	#436	C₂×D₁₁	1	1	yes	characteristic
587	#435	—	11	2	no	—
588	#435	—	11	2	no	—
589	#435	—	11	2	no	—
590	#435	—	11	2	no	—
591	#435	—	11	2	no	—
592	#435	—	11	2	no	—
593	#435	—	11	2	no	—
594	#435	—	11	2	no	—
595	#435	C₂×D₁₁	1	1	yes	characteristic
596	#435	C₂×D₁₁	1	1	yes	characteristic
597	#435	C₂×D₁₁	1	1	yes	characteristic
598	#435	C₂×D₁₁	1	1	yes	characteristic
599	C₈×D₄	—	11	2	no	—
600	C₈×D₄	—	11	2	no	—
601	C₈×D₄	—	11	1	no	—
602	C₈×D₄	—	11	1	no	—
603	#433	—	11	2	no	—
604	#433	—	11	2	no	—
605	#433	—	11	2	no	—
606	#433	—	11	2	no	—
607	#433	—	11	2	no	—
608	#433	—	11	2	no	—
609	#433	—	11	2	no	—
610	#433	—	11	2	no	—
611	#432	—	11	1	no	—
612	#432	—	11	1	no	—
613	#432	—	11	2	no	—
614	#432	—	11	2	no	—
615	#431	—	11	1	no	—
616	#431	—	11	2	no	—
617	#431	—	11	2	no	—
618	#431	C₂×D₁₁	1	1	yes	characteristic
619	#431	C₂×D₁₁	1	1	yes	characteristic
620	#431	C₂×D₁₁	1	1	yes	characteristic
621	#424	—	11	2	no	—
622	#424	—	11	2	no	—
623	#424	—	11	2	no	—
624	#424	—	11	2	no	—
625	#423	—	11	2	no	—
626	#423	—	11	1	no	—
627	#423	—	11	1	no	—
628	#423	—	11	2	no	—
629	C₂×C₄⋊C₈	—	11	1	no	—
630	#405	—	11	2	no	—
631	#405	—	11	2	no	—
632	#405	—	11	2	no	—
633	#405	—	11	2	no	—
634	C₄×M₁₆	—	11	2	no	—
635	C₄×M₁₆	C₂×D₁₁	1	1	yes	characteristic
636	C₄×M₁₆	C₂×D₁₁	1	1	yes	characteristic
637	C₂×#97	—	11	2	no	—
638	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic
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	—	2	1	no	—
647	C₂²×C₁₁	—	2	1	no	—
648	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
649	C₂×D₁₁	—	2	2	no	—
650	C₂×D₁₁	—	2	2	no	—
651	C₂×D₁₁	—	2	2	no	—
652	C₄×C₁₁	—	2	1	no	—
653	C₄×C₁₁	—	2	1	no	—
654	C₄×C₁₁	—	2	1	no	—
655	C₄×C₁₁	—	2	1	no	—
656	C₄×C₁₁	—	2	1	no	—
657	C₄×C₁₁	—	2	1	no	—
658	C₄×C₁₁	—	2	1	no	—
659	C₄×C₁₁	—	2	1	no	—
660	C₄×C₁₁	—	2	1	no	—
661	C₄×C₁₁	—	2	1	no	—
662	C₄×C₁₁	#568	1	2	yes	—
663	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
664	C₄×C₁₁	#585	1	1	yes	characteristic
665	Dic₁₁	—	2	2	no	—
666	Dic₁₁	—	2	2	no	—
667	Dic₁₁	—	2	2	no	—
668	Dic₁₁	—	2	2	no	—
669	Dic₁₁	—	2	2	no	—
670	Dic₁₁	—	2	2	no	—
671	Dic₁₁	—	2	2	no	—
672	C₂×#41	—	11	1	no	—
673	C₂×#41	C₄×D₁₁	1	1	yes	characteristic
674	C₂²×Q₈	—	11	1	no	—
675	C₂×M₁₆	—	11	2	no	—
676	C₂×M₁₆	—	11	2	no	—
677	C₂×M₁₆	—	11	2	no	—
678	C₂×M₁₆	—	11	2	no	—
679	C₂×M₁₆	C₂²×D₁₁	1	1	yes	characteristic
680	C₂×M₁₆	C₂²×D₁₁	1	1	yes	characteristic
681	C₂×M₁₆	C₂²×D₁₁	1	1	yes	characteristic
682	C₂×M₁₆	C₂²×D₁₁	1	1	yes	characteristic
683	C₂²×C₈	—	11	2	no	—
684	C₂²×C₈	—	11	2	no	—
685	C₂²×C₈	—	11	2	no	—
686	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
687	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
688	C₄⋊Q₈	—	11	2	no	—
689	C₄⋊Q₈	—	11	2	no	—
690	C₄⋊Q₈	—	11	1	no	—
691	C₄⋊Q₈	—	11	1	no	—
692	C₄⋊Q₈	—	11	1	no	—
693	C₄⋊Q₈	—	11	1	no	—
694	#126	—	11	2	no	—
695	#126	—	11	2	no	—
696	#126	—	11	2	no	—
697	#126	—	11	2	no	—
698	#126	—	11	2	no	—
699	#126	—	11	2	no	—
700	#126	—	11	2	no	—
701	#126	—	11	2	no	—
702	#125	—	11	2	no	—
703	#125	—	11	2	no	—
704	#125	—	11	2	no	—
705	#125	—	11	2	no	—
706	#125	—	11	2	no	—
707	#125	—	11	1	no	—
708	#125	—	11	1	no	—
709	#125	—	11	2	no	—
710	#125	—	11	2	no	—
711	#124	—	11	2	no	—
712	#124	—	11	2	no	—
713	#124	—	11	2	no	—
714	#124	—	11	1	no	—
715	#124	—	11	1	no	—
716	#123	—	11	2	no	—
717	#123	—	11	2	no	—
718	#123	—	11	2	no	—
719	#123	—	11	2	no	—
720	#123	—	11	2	no	—
721	#123	—	11	2	no	—
722	#123	—	11	2	no	—
723	#123	—	11	2	no	—
724	C₂²⋊Q₈	—	11	2	no	—
725	C₂²⋊Q₈	—	11	1	no	—
726	C₂²⋊Q₈	—	11	1	no	—
727	C₂²⋊Q₈	—	11	1	no	—
728	C₂²⋊Q₈	—	11	1	no	—
729	C₂²⋊Q₈	—	11	1	no	—
730	C₂²⋊Q₈	—	11	1	no	—
731	C₂²⋊Q₈	—	11	2	no	—
732	C₂²⋊Q₈	—	11	2	no	—
733	C₂²⋊Q₈	—	11	2	no	—
734	C₂²⋊Q₈	—	11	2	no	—
735	C₂²⋊Q₈	—	11	2	no	—
736	C₂²⋊Q₈	—	11	2	no	—
737	C₂²⋊Q₈	—	11	2	no	—
738	C₂²⋊Q₈	—	11	2	no	—
739	#121	—	11	2	no	—
740	#121	—	11	2	no	—
741	#121	—	11	2	no	—
742	#121	—	11	1	no	—
743	#121	—	11	1	no	—
744	C₄×Q₈	—	11	2	no	—
745	C₄×Q₈	—	11	1	no	—
746	C₄×Q₈	—	11	1	no	—
747	C₄×Q₈	—	11	1	no	—
748	C₄×Q₈	—	11	1	no	—
749	C₄×Q₈	—	11	1	no	—
750	C₄×Q₈	—	11	2	no	—
751	C₄×Q₈	—	11	1	no	—
752	C₄×Q₈	—	11	2	no	—
753	C₄×Q₈	—	11	2	no	—
754	C₄×Q₈	C₄×D₁₁	1	1	yes	characteristic
755	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
756	C₄×D₄	—	11	2	no	—
757	C₄×D₄	—	11	2	no	—
758	C₄×D₄	—	11	2	no	—
759	C₄×D₄	—	11	2	no	—
760	C₄×D₄	—	11	1	no	—
761	C₄×D₄	—	11	1	no	—
762	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
763	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
764	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
765	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
766	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
767	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
768	#117	—	11	1	no	—
769	#117	—	11	2	no	—
770	#117	—	11	2	no	—
771	#117	—	11	2	no	—
772	#117	—	11	2	no	—
773	#117	—	11	2	no	—
774	#117	C₄×D₁₁	1	1	yes	characteristic
775	#117	C₄×D₁₁	1	1	yes	characteristic
776	#117	C₄×D₁₁	1	1	yes	characteristic
777	C₂×C₄⋊C₄	—	11	1	no	—
778	C₂×C₄⋊C₄	—	11	2	no	—
779	C₂×C₄²	—	11	2	no	—
780	C₂×C₄²	—	11	2	no	—
781	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
782	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
783	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
784	C₄⋊C₈	—	11	2	no	—
785	C₄⋊C₈	—	11	2	no	—
786	C₄⋊C₈	—	11	2	no	—
787	C₄⋊C₈	—	11	2	no	—
788	C₄⋊C₈	—	11	2	no	—
789	C₄⋊C₈	—	11	2	no	—
790	C₄⋊C₈	—	11	2	no	—
791	C₄⋊C₈	—	11	2	no	—
792	C₄⋊C₈	—	11	2	no	—
793	C₄⋊C₈	—	11	2	no	—
794	C₄⋊C₈	—	11	2	no	—
795	C₄⋊C₈	—	11	2	no	—
796	C₄⋊C₈	—	11	1	no	—
797	C₄⋊C₈	—	11	1	no	—
798	C₄⋊C₈	—	11	2	no	—
799	C₄⋊C₈	—	11	2	no	—
800	C₄⋊C₈	—	11	1	no	—
801	C₄⋊C₈	—	11	2	no	—
802	C₄⋊C₈	—	11	1	no	—
803	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
804	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
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	C₂²⋊C₈	—	11	2	no	—
810	C₂²⋊C₈	—	11	2	no	—
811	C₂²⋊C₈	—	11	2	no	—
812	C₂²⋊C₈	—	11	2	no	—
813	C₂²⋊C₈	—	11	2	no	—
814	C₂²⋊C₈	—	11	2	no	—
815	C₂²⋊C₈	—	11	2	no	—
816	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
817	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
818	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
819	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
820	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
821	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
822	#97	—	11	2	no	—
823	#97	—	11	2	no	—
824	#97	—	11	2	no	—
825	#97	—	11	2	no	—
826	#97	—	11	2	no	—
827	#97	—	11	2	no	—
828	#97	—	11	2	no	—
829	#97	—	11	2	no	—
830	#97	C₂²×D₁₁	1	1	yes	characteristic
831	#97	C₂²×D₁₁	1	1	yes	characteristic
832	#97	C₂²×D₁₁	1	1	yes	characteristic
833	#97	C₂²×D₁₁	1	1	yes	characteristic
834	C₄×C₈	—	11	2	no	—
835	C₄×C₈	—	11	2	no	—
836	C₄×C₈	—	11	2	no	—
837	C₄×C₈	—	11	2	no	—
838	C₄×C₈	—	11	2	no	—
839	C₄×C₈	—	11	2	no	—
840	C₄×C₈	—	11	2	no	—
841	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
842	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
843	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
844	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
845	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
846	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
847	C₂×C₁₁	—	4	1	no	—
848	C₂×C₁₁	—	4	1	no	—
849	C₂×C₁₁	—	4	1	no	—
850	C₂×C₁₁	C₄×2₋¹⁺⁴	1	1	yes	characteristic
851	C₂×C₁₁	C₂×#568	1	1	yes	characteristic
852	C₂×C₁₁	#3573	1	1	yes	characteristic
853	D₁₁	—	4	2	no	—
854	#41	—	4	2	no	—
855	#41	—	44	2	no	—
856	C₂×Q₈	—	11	1	no	—
857	C₂×Q₈	—	11	1	no	—
858	C₂×Q₈	—	11	1	no	—
859	C₂×Q₈	—	11	2	no	—
860	C₂×Q₈	—	11	2	no	—
861	C₂×Q₈	—	11	2	no	—
862	C₂×Q₈	—	44	2	no	—
863	C₂×Q₈	C₂×C₄×D₁₁	1	1	yes	characteristic
864	C₂×D₄	—	11	2	no	—
865	C₂×D₄	—	11	2	no	—
866	C₂×D₄	—	11	2	no	—
867	C₂×D₄	—	11	1	no	—
868	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
869	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
870	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
871	C₂²×C₄	—	11	2	no	—
872	C₂²×C₄	—	11	2	no	—
873	C₂²×C₄	—	11	2	no	—
874	C₂²×C₄	—	11	2	no	—
875	C₂²×C₄	—	11	2	no	—
876	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
877	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
878	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
879	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
880	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
881	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
882	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
883	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
884	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
885	M₁₆	—	2	2	no	—
886	M₁₆	—	2	2	no	—
887	M₁₆	—	4	1	no	—
888	M₁₆	—	4	1	no	—
889	M₁₆	—	44	2	no	—
890	M₁₆	—	44	2	no	—
891	M₁₆	—	44	2	no	—
892	M₁₆	—	44	2	no	—
893	C₂×C₈	—	2	2	no	—
894	C₂×C₈	—	4	1	no	—
895	C₂×C₈	—	11	2	no	—
896	C₂×C₈	—	11	2	no	—
897	C₂×C₈	—	11	2	no	—
898	C₂×C₈	—	11	2	no	—
899	C₂×C₈	—	22	4	no	—
900	C₂×C₈	—	44	2	no	—
901	C₂×C₈	—	44	2	no	—
902	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
903	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
904	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
905	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
906	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
907	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
908	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
909	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
910	C₄⋊C₄	—	11	2	no	—
911	C₄⋊C₄	—	11	1	no	—
912	C₄⋊C₄	—	11	1	no	—
913	C₄⋊C₄	—	11	2	no	—
914	C₄⋊C₄	—	11	2	no	—
915	C₄⋊C₄	—	11	2	no	—
916	C₄⋊C₄	—	11	2	no	—
917	C₄⋊C₄	—	11	2	no	—
918	C₄⋊C₄	—	11	1	no	—
919	C₄⋊C₄	—	11	1	no	—
920	C₄⋊C₄	—	11	2	no	—
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	—	11	2	no	—
926	C₄⋊C₄	—	11	2	no	—
927	C₄⋊C₄	—	11	2	no	—
928	C₄⋊C₄	—	11	2	no	—
929	C₄⋊C₄	—	11	2	no	—
930	C₄⋊C₄	—	11	2	no	—
931	C₄⋊C₄	—	11	2	no	—
932	C₄⋊C₄	—	11	2	no	—
933	C₄⋊C₄	—	11	2	no	—
934	C₄⋊C₄	—	11	2	no	—
935	C₄⋊C₄	—	11	2	no	—
936	C₄⋊C₄	—	11	2	no	—
937	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
938	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
939	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
940	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
941	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
942	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
943	C₂²⋊C₄	—	11	2	no	—
944	C₂²⋊C₄	—	11	2	no	—
945	C₂²⋊C₄	—	11	2	no	—
946	C₂²⋊C₄	—	11	2	no	—
947	C₂²⋊C₄	—	11	2	no	—
948	C₂²⋊C₄	—	11	2	no	—
949	C₂²⋊C₄	—	11	2	no	—
950	C₂²⋊C₄	—	11	2	no	—
951	C₂²⋊C₄	—	11	2	no	—
952	C₂²⋊C₄	—	11	2	no	—
953	C₂²⋊C₄	—	11	2	no	—
954	C₂²⋊C₄	—	11	2	no	—
955	C₂²⋊C₄	—	11	2	no	—
956	C₂²⋊C₄	—	11	2	no	—
957	C₂²⋊C₄	—	11	2	no	—
958	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
959	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
960	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
961	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
962	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
963	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
964	C₄²	—	11	2	no	—
965	C₄²	—	11	2	no	—
966	C₄²	—	11	2	no	—
967	C₄²	—	11	2	no	—
968	C₄²	—	11	2	no	—
969	C₄²	—	11	2	no	—
970	C₄²	—	11	2	no	—
971	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
972	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
973	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
974	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
975	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
976	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
977	C₄²	C₂³×D₁₁	1	1	yes	characteristic
978	C₄²	C₂³×D₁₁	1	1	yes	characteristic
979	C₄²	C₂³×D₁₁	1	1	yes	characteristic
980	C₄²	C₂³×D₁₁	1	1	yes	characteristic
981	C₁₁	#60344	1	1	yes	characteristic, complemented, Sylow
982	C₂³	—	11	2	no	—
983	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
984	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
985	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
986	Q₈	—	4	1	no	—
987	Q₈	—	22	2	no	—
988	Q₈	—	22	2	no	—
989	Q₈	—	22	2	no	—
990	Q₈	—	44	2	no	—
991	Q₈	—	44	2	no	—
992	Q₈	—	44	2	no	—
993	D₄	—	4	1	no	—
994	D₄	—	4	1	no	—
995	D₄	—	4	1	no	—
996	D₄	—	22	2	no	—
997	D₄	—	44	2	no	—
998	D₄	—	44	2	no	—
999	D₄	—	44	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	4	1	no	—
1010	C₂×C₄	—	4	1	no	—
1011	C₂×C₄	—	4	1	no	—
1012	C₂×C₄	—	11	2	no	—
1013	C₂×C₄	—	11	2	no	—
1014	C₂×C₄	—	11	2	no	—
1015	C₂×C₄	—	11	2	no	—
1016	C₂×C₄	—	11	2	no	—
1017	C₂×C₄	—	11	2	no	—
1018	C₂×C₄	—	11	2	no	—
1019	C₂×C₄	—	22	2	no	—
1020	C₂×C₄	—	22	2	no	—
1021	C₂×C₄	—	44	2	no	—
1022	C₂×C₄	—	44	2	no	—
1023	C₂×C₄	—	44	2	no	—
1024	C₂×C₄	—	44	2	no	—
1025	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1026	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1027	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1028	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1029	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1030	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1031	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1032	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1033	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1034	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1035	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1036	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1037	C₈	—	2	1	no	—
1038	C₈	—	2	1	no	—
1039	C₈	—	2	1	no	—
1040	C₈	—	2	1	no	—
1041	C₈	—	2	1	no	—
1042	C₈	—	2	1	no	—
1043	C₈	—	2	1	no	—
1044	C₈	—	22	2	no	—
1045	C₈	—	22	2	no	—
1046	C₈	—	22	2	no	—
1047	C₈	—	22	2	no	—
1048	C₈	#67043	1	2	yes	—
1049	C₂²	—	2	1	no	—
1050	C₂²	—	2	1	no	—
1051	C₂²	—	2	1	no	—
1052	C₂²	—	2	1	no	—
1053	C₂²	—	2	1	no	—
1054	C₂²	—	2	1	no	—
1055	C₂²	—	2	1	no	—
1056	C₂²	—	2	1	no	—
1057	C₂²	—	2	1	no	—
1058	C₂²	—	22	2	no	—
1059	C₂²	—	22	2	no	—
1060	C₂²	—	22	2	no	—
1061	C₂²	C₂³×C₄×D₁₁	1	1	yes	characteristic
1062	C₄	—	2	1	no	—
1063	C₄	—	2	1	no	—
1064	C₄	—	2	1	no	—
1065	C₄	—	2	1	no	—
1066	C₄	—	2	1	no	—
1067	C₄	—	2	1	no	—
1068	C₄	—	2	1	no	—
1069	C₄	—	2	1	no	—
1070	C₄	—	2	1	no	—
1071	C₄	—	2	1	no	—
1072	C₄	—	22	2	no	—
1073	C₄	—	22	2	no	—
1074	C₄	—	22	2	no	—
1075	C₄	—	22	2	no	—
1076	C₄	—	22	2	no	—
1077	C₄	—	22	2	no	—
1078	C₄	—	22	2	no	—
1079	C₄	#10623276	1	2	yes	—
1080	C₄	C₂×#67043	1	1	yes	characteristic
1081	C₄	#10623453	1	1	yes	characteristic
1082	C₂	—	4	1	no	—
1083	C₂	—	4	1	no	—
1084	C₂	—	4	1	no	—
1085	C₂	—	44	2	no	—
1086	C₂	C₄×#67043	1	1	yes	characteristic
1087	C₂	C₂×#10623276	1	1	yes	characteristic
1088	C₂	#13083327	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₁
commutator, socle	C₂²×C₁₁	C₂⁴×C₄
Fitting	C₁₁×#2965	C₂
prime radical	#10623364	C₄
cosocle	C₂×C₄×C₁₁	C₂⁵
hypercenter	#2965	D₁₁
hypocenter	C₁₁	#60344
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₄ ◁ #2965

Complements

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

N	H ≅ G/N	type
2. #13077787	C₂	semidirect
3. #13077782	C₂	semidirect
4. #13077778	C₂	semidirect
5. #13077767	C₂	semidirect
6. #13077762	C₂	semidirect
7. #13077745	C₂	semidirect
8. #13077733	C₂	semidirect
9. #13077717	C₂	semidirect
10. #13077710	C₂	semidirect
11. #13077709	C₂	semidirect
12. #13077703	C₂	semidirect
13. #13077631	C₂	semidirect
14. #13077620	C₂	semidirect
15. #13077613	C₂	semidirect
16. #13077607	C₂	semidirect
17. #13077602	C₂	semidirect
18. #13077591	C₂	semidirect
19. M₁₆×Dic₂₂	C₂	semidirect
20. #13077563	C₂	semidirect
21. #13077552	C₂	semidirect
22. #13077550	C₂	semidirect
23. C₁₁×#2965	C₂	semidirect
456. #2965	D₁₁	semidirect
981. C₁₁	#60344	semidirect

Maximal subgroups

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

subgroup	index
#13082043	2
#13077787	2
#13077782	2
#13077778	2
#13077767	2
#13077762	2
#13077745	2
#13077733	2
#13077717	2
#13077710	2
#13077709	2
#13077703	2
#13077631	2
#13077620	2
#13077613	2
#13077607	2
#13077602	2
#13077591	2
M₁₆×Dic₂₂	2
#13077563	2
#13077552	2
#13077550	2
C₁₁×#2965	2
#60344	11