Subgroups — #15618914

Order 2816.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13081909	C₂	1	1	yes	maximal, characteristic
2	#13077773	C₂	1	2	yes	maximal, complemented
3	#13077769	C₂	1	2	yes	maximal, complemented
4	#13077754	C₂	1	2	yes	maximal, complemented
5	#13077751	C₂	1	2	yes	maximal, complemented
6	#13077743	C₂	1	1	yes	maximal, characteristic, complemented
7	#13077741	C₂	1	1	yes	maximal, characteristic, complemented
8	#13077738	C₂	1	1	yes	maximal, characteristic, complemented
9	#13077735	C₂	1	1	yes	maximal, characteristic, complemented
10	#13077730	C₂	1	1	yes	maximal, characteristic, complemented
11	#13077725	C₂	1	1	yes	maximal, characteristic, complemented
12	#13077724	C₂	1	1	yes	maximal, characteristic, complemented
13	#13077561	C₂	1	2	yes	maximal, complemented
14	#13077357	C₂	1	2	yes	maximal, complemented
15	#13077307	C₂	1	2	yes	maximal, complemented
16	#13077305	C₂	1	2	yes	maximal, complemented
17	#13077283	C₂	1	1	yes	maximal, characteristic, complemented
18	#13077277	C₂	1	1	yes	maximal, characteristic, complemented
19	#13077246	C₂	1	1	yes	maximal, characteristic, complemented
20	#13077185	C₂	1	1	yes	maximal, characteristic, complemented
21	#13077181	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×D₁₁×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
25	#10623363	C₄	1	1	yes	characteristic
26	#10623359	C₄	1	1	yes	characteristic
27	C₂×#66960	C₂²	1	2	yes	—
28	C₂×#66954	C₂²	1	2	yes	—
29	C₂²×C₈×D₁₁	C₂²	1	2	yes	—
30	#10623111	C₄	1	1	yes	characteristic
31	#10623111	C₂²	1	1	yes	characteristic
32	#10623109	C₄	1	1	yes	characteristic
33	#10623109	C₂²	1	1	yes	characteristic
34	#10623088	C₄	1	1	yes	characteristic
35	#10623088	C₂²	1	1	yes	characteristic
36	#10623079	C₄	1	1	yes	characteristic
37	#10623079	C₂²	1	1	yes	characteristic
38	#10623078	C₄	1	1	yes	characteristic
39	#10623078	C₄	1	1	yes	characteristic
40	#10623078	C₂²	1	1	yes	characteristic
41	#10623078	C₂²	1	1	yes	characteristic
42	#10623069	C₄	1	1	yes	characteristic
43	#10623069	C₄	1	1	yes	characteristic
44	#10623069	C₂²	1	1	yes	characteristic
45	#10623069	C₂²	1	1	yes	characteristic
46	#10623059	C₄	1	1	yes	characteristic
47	#10623059	C₄	1	1	yes	characteristic
48	#10623059	C₄	1	1	yes	characteristic
49	#10623059	C₄	1	1	yes	characteristic
50	#10623055	C₄	1	1	yes	characteristic
51	#10623048	C₄	1	1	yes	characteristic
52	C₄×#4339	C₂²	1	1	yes	characteristic
53	C₄×#4339	C₂²	1	1	yes	characteristic
54	C₄×#4339	C₂²	1	1	yes	characteristic
55	C₄×#4339	C₂²	1	1	yes	characteristic
56	C₄×#4339	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₁₁	C₂²	1	1	yes	characteristic
58	C₁₁×#446	C₂²	1	2	yes	complemented
59	C₁₁×#435	C₂²	1	2	yes	—
60	C₁₁×#435	C₂²	1	2	yes	complemented
61	C₈×D₄×C₁₁	C₂²	1	2	yes	—
62	C₁₁×#432	C₂²	1	1	yes	characteristic
63	C₁₁×#432	C₂²	1	1	yes	characteristic, complemented
64	C₁₁×#431	C₂²	1	1	yes	characteristic, complemented
65	C₁₁×#423	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
67	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
68	#10622741	C₂²	1	2	yes	complemented
69	#10622740	C₂²	1	2	yes	—
70	#10622732	C₂²	1	2	yes	complemented
71	#10622724	C₂²	1	2	yes	—
72	C₈×C₂²⋊D₁₁	C₂²	1	2	yes	—
73	C₈×C₂²⋊D₁₁	C₂²	1	2	yes	—
74	C₈×C₂²⋊D₁₁	C₂²	1	2	yes	complemented
75	#10622715	C₂²	1	2	yes	complemented
76	C₂×Dic₁₁⋊C₈	C₂²	1	2	yes	—
77	#10622637	C₂²	1	2	yes	complemented
78	#10622624	C₂²	1	2	yes	—
79	#10622624	C₂²	1	2	yes	complemented
80	D₄×C₁₁⋊C₈	C₂²	1	2	yes	—
81	#10622539	C₂²	1	1	yes	characteristic
82	#10622539	C₂²	1	1	yes	characteristic, complemented
83	#10622538	C₂²	1	1	yes	characteristic, complemented
84	#10622537	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₄⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic
86	C₂×C₄⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic, complemented
87	#10622452	C₂²	1	2	yes	—
88	#10622452	C₂²	1	2	yes	—
89	#10622452	C₂²	1	2	yes	complemented
90	#10622452	C₂²	1	2	yes	complemented
91	#10622450	C₂²	1	1	yes	characteristic
92	#10622450	C₂²	1	1	yes	characteristic
93	#10622450	C₂²	1	1	yes	characteristic, complemented
94	#10622450	C₂²	1	1	yes	characteristic, complemented
95	#10622449	C₂²	1	2	yes	—
96	#10622449	C₂²	1	2	yes	complemented
97	#10622448	C₂²	1	1	yes	characteristic, complemented
98	#10622448	C₂²	1	1	yes	characteristic, complemented
99	#10622447	C₂²	1	2	yes	—
100	#10622446	C₂²	1	1	yes	characteristic
101	#10622446	C₂²	1	1	yes	characteristic
102	#10622446	C₂²	1	1	yes	characteristic, complemented
103	#10622446	C₂²	1	1	yes	characteristic, complemented
104	D₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
105	D₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
106	D₁₁×C₄⋊C₈	C₂²	1	2	yes	—
107	D₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
108	D₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
109	D₁₁×C₄⋊C₈	C₂²	1	2	yes	—
110	D₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
111	D₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
112	#10622443	C₂²	1	2	yes	complemented
113	#10622441	C₂²	1	2	yes	complemented
114	#10622441	C₂²	1	2	yes	complemented
115	#10622343	C₂²	1	2	yes	—
116	#10622342	C₂²	1	2	yes	complemented
117	#10622341	C₂²	1	2	yes	—
118	#10622340	C₂²	1	2	yes	—
119	#10622340	C₂²	1	2	yes	—
120	#10622339	C₂²	1	2	yes	—
121	(C₂²⋊D₁₁)⋊C₈	C₂²	1	2	yes	—
122	(C₂²⋊D₁₁)⋊C₈	C₂²	1	2	yes	—
123	(C₂²⋊D₁₁)⋊C₈	C₂²	1	2	yes	complemented
124	#10622333	C₂²	1	2	yes	complemented
125	#10622333	C₂²	1	2	yes	complemented
126	#10622331	C₂²	1	2	yes	—
127	#10622322	C₂²	1	2	yes	complemented
128	#10622321	C₂²	1	2	yes	—
129	#10622320	C₂²	1	2	yes	—
130	#10622319	C₂²	1	2	yes	—
131	#10622319	C₂²	1	2	yes	complemented
132	#10622318	C₂²	1	2	yes	—
133	#10622314	C₂²	1	2	yes	complemented
134	#10622314	C₂²	1	2	yes	complemented
135	#10622303	C₂²	1	2	yes	complemented
136	#10622302	C₂²	1	2	yes	—
137	C₈×D₄₄	C₂²	1	2	yes	—
138	C₈×Dic₂₂	C₂²	1	2	yes	complemented
139	C₂×C₁₁×#41	C₂×C₄	1	1	yes	characteristic
140	C₂×#4339	C₂×C₄	1	1	yes	characteristic
141	C₂×#4339	C₂×C₄	1	1	yes	characteristic
142	C₂×#4339	C₂×C₄	1	1	yes	characteristic
143	C₂×#4339	C₂³	1	1	yes	characteristic
144	C₂×#4339	C₂³	1	1	yes	characteristic
145	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
146	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
147	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
148	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
149	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
150	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
151	C₄×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
152	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
153	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
154	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
155	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
156	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
157	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
158	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
159	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
160	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
161	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
162	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
163	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
164	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
165	#67000	C₂×C₄	1	1	yes	characteristic
166	#66999	C₂×C₄	1	1	yes	characteristic
167	#66999	C₂×C₄	1	1	yes	characteristic
168	#66997	C₂×C₄	1	1	yes	characteristic
169	#66993	C₂×C₄	1	1	yes	characteristic
170	#66992	C₂×C₄	1	1	yes	characteristic
171	#66992	C₂×C₄	1	1	yes	characteristic
172	#66992	C₂×C₄	1	1	yes	characteristic
173	#66992	C₂×C₄	1	1	yes	characteristic
174	#66991	C₂×C₄	1	1	yes	characteristic
175	#66991	C₂×C₄	1	1	yes	characteristic
176	#66990	C₂×C₄	1	1	yes	characteristic
177	#66990	C₂×C₄	1	1	yes	characteristic
178	#66989	C₂×C₄	1	1	yes	characteristic
179	#66988	C₂×C₄	1	1	yes	characteristic
180	#66988	C₂×C₄	1	1	yes	characteristic
181	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
182	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
183	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
184	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
185	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
186	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
187	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
188	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
189	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
190	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
191	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
192	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
193	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
194	C₄×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
195	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
196	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
197	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
198	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
199	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
200	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
201	#66979	C₂×C₄	1	1	yes	characteristic
202	#66979	C₂×C₄	1	1	yes	characteristic
203	#66979	C₂×C₄	1	1	yes	characteristic
204	#66979	C₂³	1	1	yes	characteristic
205	#66979	C₂³	1	1	yes	characteristic
206	C₂×C₄×Dic₁₁	C₂×C₄	1	1	yes	characteristic
207	C₂×C₄×Dic₁₁	C₂×C₄	1	1	yes	characteristic
208	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
209	C₂×#4318	C₂³	1	2	yes	—
210	C₂²×C₁₁⋊C₈	C₂³	1	2	yes	—
211	C₂²×C₁₁⋊C₈	C₂³	1	2	yes	—
212	#66960	—	4	4	no	—
213	#66954	—	4	4	no	—
214	C₂×#4313	C₂³	1	2	yes	—
215	C₂×#4313	C₂³	1	2	yes	—
216	C₂×#4313	C₂³	1	2	yes	—
217	C₂×#4313	C₂³	1	2	yes	—
218	C₂×C₈×D₁₁	—	4	4	no	—
219	C₂×C₈×D₁₁	C₂³	1	2	yes	—
220	C₂×C₈×D₁₁	C₂³	1	2	yes	—
221	C₂×C₈×D₁₁	C₂³	1	2	yes	—
222	C₂×C₈×D₁₁	C₂³	1	2	yes	—
223	C₂×C₈×D₁₁	C₂³	1	2	yes	—
224	C₂×C₈×D₁₁	C₂³	1	2	yes	—
225	#66951	C₂×C₄	1	1	yes	characteristic
226	#66951	C₂×C₄	1	1	yes	characteristic
227	#66951	C₂×C₄	1	1	yes	characteristic
228	#66951	C₂×C₄	1	1	yes	characteristic
229	#66950	C₂×C₄	1	1	yes	characteristic
230	#66950	C₂×C₄	1	1	yes	characteristic
231	#66949	C₂×C₄	1	1	yes	characteristic
232	#66949	C₂×C₄	1	1	yes	characteristic
233	#66949	C₂×C₄	1	1	yes	characteristic
234	#66949	C₂×C₄	1	1	yes	characteristic
235	#66948	C₂×C₄	1	1	yes	characteristic
236	#66948	C₂×C₄	1	1	yes	characteristic
237	#66947	C₂×C₄	1	1	yes	characteristic
238	#66947	C₂×C₄	1	1	yes	characteristic
239	#66947	C₂×C₄	1	1	yes	characteristic
240	#66947	C₂×C₄	1	1	yes	characteristic
241	#66943	C₂×C₄	1	1	yes	characteristic
242	#66943	C₂×C₄	1	1	yes	characteristic
243	#66942	C₂×C₄	1	1	yes	characteristic
244	#66942	C₂×C₄	1	1	yes	characteristic
245	#66942	C₂×C₄	1	1	yes	characteristic
246	#66942	C₂×C₄	1	1	yes	characteristic
247	#66941	C₂×C₄	1	1	yes	characteristic
248	#66941	C₂×C₄	1	1	yes	characteristic
249	#66939	C₂×C₄	1	1	yes	characteristic
250	#66939	C₂×C₄	1	1	yes	characteristic
251	#66938	C₂×C₄	1	1	yes	characteristic
252	#66938	C₂×C₄	1	1	yes	characteristic
253	#66938	C₂×C₄	1	1	yes	characteristic
254	#66938	C₂×C₄	1	1	yes	characteristic
255	#66937	C₂×C₄	1	1	yes	characteristic
256	#66937	C₂×C₄	1	1	yes	characteristic
257	#66937	C₂×C₄	1	1	yes	characteristic
258	#66937	C₂×C₄	1	1	yes	characteristic
259	#66936	C₂×C₄	1	1	yes	characteristic
260	#66936	C₂×C₄	1	1	yes	characteristic
261	#66936	C₂×C₄	1	1	yes	characteristic
262	#66936	C₂×C₄	1	1	yes	characteristic
263	#66935	C₂×C₄	1	1	yes	characteristic
264	#66935	C₂×C₄	1	1	yes	characteristic
265	#66932	C₂×C₄	1	1	yes	characteristic
266	#66932	C₂×C₄	1	1	yes	characteristic
267	#66932	C₂×C₄	1	1	yes	characteristic
268	#66932	C₂×C₄	1	1	yes	characteristic
269	#66931	C₂×C₄	1	1	yes	characteristic
270	#66931	C₂×C₄	1	1	yes	characteristic
271	#66931	C₂×C₄	1	1	yes	characteristic
272	#66931	C₂×C₄	1	1	yes	characteristic
273	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
274	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
275	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
276	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
277	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
278	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
279	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
280	C₄×D₄₄	C₂³	1	1	yes	characteristic
281	C₄×D₄₄	C₂³	1	1	yes	characteristic
282	C₄×D₄₄	C₂³	1	1	yes	characteristic
283	#66925	C₂×C₄	1	1	yes	characteristic
284	#66925	C₂×C₄	1	1	yes	characteristic
285	#66925	C₂×C₄	1	1	yes	characteristic
286	#66925	C₂×C₄	1	1	yes	characteristic
287	#66925	C₂×C₄	1	1	yes	characteristic
288	#66925	C₂×C₄	1	1	yes	characteristic
289	#66925	C₂³	1	1	yes	characteristic
290	#66925	C₂³	1	1	yes	characteristic
291	#66925	C₂³	1	1	yes	characteristic
292	#66925	C₂³	1	1	yes	characteristic
293	C₄²×D₁₁	C₂×C₄	1	1	yes	characteristic
294	C₄²×D₁₁	C₂×C₄	1	1	yes	characteristic
295	C₄²×D₁₁	C₂×C₄	1	1	yes	characteristic
296	C₄²×D₁₁	C₂×C₄	1	1	yes	characteristic
297	C₄²×D₁₁	C₂³	1	1	yes	characteristic
298	C₄²×D₁₁	C₂³	1	1	yes	characteristic
299	C₄²×D₁₁	C₂³	1	1	yes	characteristic
300	C₄²×D₁₁	C₂³	1	1	yes	characteristic
301	C₄²×D₁₁	C₂³	1	1	yes	characteristic
302	C₄²×D₁₁	C₂³	1	1	yes	characteristic
303	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
304	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
305	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
306	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
307	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
308	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
309	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
310	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
311	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
312	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
313	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
318	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
321	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
322	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
323	C₁₁×#97	C₂³	1	2	yes	—
324	C₁₁×#97	C₂³	1	2	yes	—
325	C₄×C₈×C₁₁	C₂³	1	2	yes	—
326	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
327	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
328	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
329	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
330	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
331	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
332	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
333	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
334	(C₂×D₁₁)⋊C₈	C₂³	1	2	yes	—
335	#66879	C₂³	1	2	yes	—
336	#66879	C₂³	1	2	yes	—
337	Dic₁₁⋊C₈	C₂³	1	2	yes	—
338	Dic₁₁⋊C₈	C₂³	1	2	yes	—
339	Dic₁₁⋊C₈	C₂³	1	2	yes	—
340	Dic₁₁⋊C₈	C₂³	1	2	yes	—
341	Dic₁₁⋊C₈	C₂³	1	2	yes	—
342	Dic₁₁⋊C₈	C₂³	1	2	yes	—
343	Dic₁₁⋊C₈	C₂³	1	2	yes	—
344	Dic₁₁⋊C₈	C₂³	1	2	yes	—
345	Dic₁₁⋊C₈	C₂³	1	2	yes	—
346	Dic₁₁⋊C₈	C₂³	1	2	yes	—
347	C₈×Dic₁₁	C₂³	1	2	yes	—
348	C₈×Dic₁₁	C₂³	1	2	yes	—
349	C₈×Dic₁₁	C₂³	1	2	yes	—
350	C₈×Dic₁₁	C₂³	1	2	yes	—
351	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
352	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
353	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
354	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
355	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
356	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
357	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
358	#66867	C₂³	1	2	yes	—
359	#66867	C₂³	1	2	yes	—
360	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
361	#60265	—	11	1	no	maximal, Sylow
362	C₂³×D₁₁	C₂²×C₄	1	1	yes	characteristic
363	C₁₁×#41	—	4	2	no	—
364	C₂×Q₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
365	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
366	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
367	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
368	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
369	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
371	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
372	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
373	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
374	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
377	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
378	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
379	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
380	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
381	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
382	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
383	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
384	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
385	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
386	C₂×C₂²⋊D₁₁	C₂²×C₄	1	1	yes	characteristic
387	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
388	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
389	C₂²×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
390	#4339	—	2	4	no	—
391	#4339	—	2	4	no	—
392	#4339	—	2	2	no	—
393	#4339	—	2	2	no	—
394	#4339	—	2	2	no	—
395	#4339	—	2	2	no	—
396	#4339	—	4	2	no	—
397	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
398	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
399	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
400	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
401	C₂×D₄₄	C₂²×C₄	1	1	yes	characteristic
402	C₂×C₄×D₁₁	—	2	4	no	—
403	C₂×C₄×D₁₁	—	2	2	no	—
404	C₂×C₄×D₁₁	—	2	2	no	—
405	C₂×C₄×D₁₁	—	4	2	no	—
406	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
408	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
410	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
411	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
412	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
413	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
414	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
415	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
418	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
419	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
420	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
421	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
422	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
423	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
424	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
425	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
426	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
427	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
428	C₂×Dic₂₂	C₂²×C₄	1	1	yes	characteristic
429	C₁₁×M₁₆	—	4	2	no	—
430	C₂×C₈×C₁₁	—	4	2	no	—
431	C₂×C₈×C₁₁	—	4	2	no	—
432	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
433	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
434	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
435	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
436	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
437	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
438	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
439	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
440	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
441	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
442	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
443	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
444	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
445	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
446	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
447	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
448	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
449	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
450	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
451	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
452	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
453	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
454	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
455	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
457	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
458	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
459	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
460	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
461	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
462	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
463	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
464	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
465	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
466	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
467	C₂²⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
468	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
469	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
470	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
471	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
472	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
473	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
474	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
475	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
476	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
477	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
478	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
479	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
480	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
481	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
482	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
483	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
484	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
485	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
486	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
487	(C₂×D₁₁)⋊C₄	C₂²×C₄	1	1	yes	characteristic
488	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
489	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
490	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
491	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
492	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
493	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
494	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
495	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
496	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
497	C₄⋊Dic₁₁	C₂²×C₄	1	1	yes	characteristic
498	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
499	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
500	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
501	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
502	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
503	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
504	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
505	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
506	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
507	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
508	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
509	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
510	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
511	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
512	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
513	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
514	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
515	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
516	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
517	Dic₁₁⋊C₄	C₂²×C₄	1	1	yes	characteristic
518	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
519	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
520	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
521	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
522	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
523	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
524	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
525	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
526	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
527	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
528	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
529	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
530	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
531	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
532	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
533	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
534	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
535	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
536	#4318	—	4	2	no	—
537	C₂×C₁₁⋊C₈	—	4	2	no	—
538	C₂×C₁₁⋊C₈	—	4	2	no	—
539	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
540	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
541	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
542	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
543	#4313	—	2	4	no	—
544	#4313	—	2	4	no	—
545	#4313	—	4	2	no	—
546	#4313	—	4	2	no	—
547	C₈×D₁₁	—	2	4	no	—
548	C₈×D₁₁	—	2	4	no	—
549	C₈×D₁₁	—	4	2	no	—
550	C₈×D₁₁	—	4	2	no	—
551	C₈×D₁₁	—	4	2	no	—
552	C₈×D₁₁	—	4	2	no	—
553	#3444	—	11	1	no	—
554	#2994	—	11	2	no	—
555	#2994	—	11	2	no	—
556	#2992	—	11	2	no	—
557	#2992	—	11	2	no	—
558	#2990	—	11	1	no	—
559	#2990	—	11	1	no	—
560	#2990	—	11	1	no	—
561	#2990	D₁₁	1	1	yes	characteristic, complemented
562	#2989	—	11	1	no	—
563	#2989	—	11	1	no	—
564	#2988	—	11	1	no	—
565	#2988	—	11	1	no	—
566	#2962	—	11	2	no	—
567	#2935	—	11	2	no	—
568	#2929	—	11	2	no	—
569	#2929	—	11	2	no	—
570	#2925	—	11	1	no	—
571	#2925	—	11	1	no	—
572	#2920	—	11	1	no	—
573	#2906	—	11	1	no	—
574	#2906	—	11	1	no	—
575	C₂²×C₄⋊C₈	—	11	1	no	—
576	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
577	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
578	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
579	C₂²×D₁₁	—	2	2	no	—
580	C₂²×D₁₁	—	2	2	no	—
581	C₂²×D₁₁	—	2	2	no	—
582	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
583	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
584	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
585	C₂²×D₁₁	C₂³×C₄	1	1	yes	characteristic
586	Q₈×C₁₁	—	4	1	no	—
587	D₄×C₁₁	—	2	2	no	—
588	D₄×C₁₁	—	2	2	no	—
589	D₄×C₁₁	—	4	1	no	—
590	C₂×C₄×C₁₁	—	2	2	no	—
591	C₂×C₄×C₁₁	—	2	2	no	—
592	C₂×C₄×C₁₁	—	2	2	no	—
593	C₂×C₄×C₁₁	—	2	2	no	—
594	C₂×C₄×C₁₁	—	2	1	no	—
595	C₂×C₄×C₁₁	—	2	1	no	—
596	C₂×C₄×C₁₁	—	2	1	no	—
597	C₂×C₄×C₁₁	—	2	1	no	—
598	C₂×C₄×C₁₁	—	2	1	no	—
599	C₂×C₄×C₁₁	—	2	1	no	—
600	C₂×C₄×C₁₁	—	4	1	no	—
601	C₂×C₄×C₁₁	—	4	1	no	—
602	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
603	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
604	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
605	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
606	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
607	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
608	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
609	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
610	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
611	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
612	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
613	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
614	C₂²⋊D₁₁	—	2	2	no	—
615	C₂²⋊D₁₁	—	2	2	no	—
616	C₂²⋊D₁₁	—	2	2	no	—
617	C₂²⋊D₁₁	—	2	2	no	—
618	C₂²⋊D₁₁	—	2	2	no	—
619	C₂²⋊D₁₁	—	2	2	no	—
620	C₂²⋊D₁₁	—	2	2	no	—
621	C₂²⋊D₁₁	—	2	2	no	—
622	C₂²⋊D₁₁	—	2	2	no	—
623	C₂²⋊D₁₁	—	2	2	no	—
624	C₂×Dic₁₁	—	2	2	no	—
625	C₂×Dic₁₁	—	2	2	no	—
626	C₂×Dic₁₁	—	2	2	no	—
627	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
628	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
629	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
630	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
631	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
632	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
633	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
634	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
635	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
636	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
637	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
638	C₂×Dic₁₁	C₂³×C₄	1	1	yes	characteristic
639	D₄₄	—	2	2	no	—
640	D₄₄	—	2	2	no	—
641	D₄₄	—	2	2	no	—
642	D₄₄	—	2	2	no	—
643	D₄₄	—	4	1	no	—
644	C₄×D₁₁	—	2	2	no	—
645	C₄×D₁₁	—	2	2	no	—
646	C₄×D₁₁	—	2	2	no	—
647	C₄×D₁₁	—	2	2	no	—
648	C₄×D₁₁	—	2	2	no	—
649	C₄×D₁₁	—	2	1	no	—
650	C₄×D₁₁	—	2	1	no	—
651	C₄×D₁₁	—	2	1	no	—
652	C₄×D₁₁	—	2	1	no	—
653	C₄×D₁₁	—	2	1	no	—
654	C₄×D₁₁	—	2	1	no	—
655	C₄×D₁₁	—	2	2	no	—
656	C₄×D₁₁	—	2	2	no	—
657	C₄×D₁₁	—	4	1	no	—
658	C₄×D₁₁	—	4	1	no	—
659	C₄×D₁₁	—	4	1	no	—
660	C₄×D₁₁	—	4	1	no	—
661	C₄×D₁₁	—	4	1	no	—
662	C₄×D₁₁	—	4	1	no	—
663	C₄×D₁₁	#131	1	4	yes	complemented
664	C₄×D₁₁	H(5,𝔽₂)	1	2	yes	—
665	C₄×D₁₁	2₋¹⁺⁴	1	2	yes	—
666	Dic₂₂	—	2	2	no	—
667	Dic₂₂	—	2	2	no	—
668	Dic₂₂	—	2	2	no	—
669	Dic₂₂	—	2	2	no	—
670	Dic₂₂	—	4	1	no	—
671	C₈×C₁₁	—	2	2	no	—
672	C₈×C₁₁	—	2	2	no	—
673	C₈×C₁₁	—	2	2	no	—
674	C₈×C₁₁	—	2	2	no	—
675	C₁₁⋊C₈	—	2	2	no	—
676	C₁₁⋊C₈	—	2	2	no	—
677	C₁₁⋊C₈	—	2	2	no	—
678	C₁₁⋊C₈	—	2	2	no	—
679	C₂×#131	—	11	2	no	—
680	C₂×#131	—	11	2	no	—
681	C₂³×C₈	—	11	2	no	—
682	#533	—	11	1	no	—
683	#533	—	11	1	no	—
684	#533	—	11	1	no	—
685	#532	—	11	1	no	—
686	#532	—	11	1	no	—
687	#532	—	11	1	no	—
688	#529	—	11	1	no	—
689	#529	—	11	1	no	—
690	#529	—	11	1	no	—
691	#529	—	11	1	no	—
692	#529	—	11	1	no	—
693	#529	—	11	1	no	—
694	#529	—	11	1	no	—
695	#529	—	11	1	no	—
696	#529	—	11	1	no	—
697	#529	—	11	1	no	—
698	#529	—	11	1	no	—
699	#529	—	11	1	no	—
700	#525	—	11	1	no	—
701	#525	—	11	1	no	—
702	#525	—	11	1	no	—
703	#525	—	11	1	no	—
704	#525	—	11	1	no	—
705	#525	—	11	1	no	—
706	C₄×#41	—	11	1	no	—
707	C₄×#41	—	11	1	no	—
708	C₄×#41	—	11	1	no	—
709	C₄×#41	—	11	1	no	—
710	C₄×#41	—	11	1	no	—
711	C₄×#41	C₂×D₁₁	1	1	yes	characteristic
712	C₂²×C₄²	—	11	1	no	—
713	#446	—	11	2	no	—
714	#446	—	11	2	no	—
715	#446	—	11	2	no	—
716	#446	—	11	2	no	—
717	#446	—	11	2	no	—
718	#446	C₂×D₁₁	1	2	yes	complemented
719	C₈×Q₈	—	11	2	no	—
720	C₈×Q₈	—	11	2	no	—
721	#436	—	11	2	no	—
722	#436	—	11	2	no	—
723	#435	—	11	2	no	—
724	#435	—	11	2	no	—
725	#435	—	11	2	no	—
726	#435	—	11	2	no	—
727	#435	—	11	2	no	—
728	#435	—	11	2	no	—
729	#435	—	11	2	no	—
730	#435	—	11	2	no	—
731	#435	—	11	2	no	—
732	#435	—	11	2	no	—
733	#435	C₂×D₁₁	1	2	yes	—
734	#435	C₂×D₁₁	1	2	yes	complemented
735	C₈×D₄	—	11	2	no	—
736	C₈×D₄	—	11	2	no	—
737	C₈×D₄	—	11	2	no	—
738	C₈×D₄	—	11	2	no	—
739	C₈×D₄	—	11	2	no	—
740	C₈×D₄	—	11	2	no	—
741	C₈×D₄	—	11	2	no	—
742	C₈×D₄	—	11	2	no	—
743	C₈×D₄	—	11	2	no	—
744	C₈×D₄	C₂×D₁₁	1	2	yes	—
745	#433	—	11	2	no	—
746	#433	—	11	2	no	—
747	#433	—	11	2	no	—
748	#433	—	11	2	no	—
749	#432	—	11	1	no	—
750	#432	—	11	1	no	—
751	#432	—	11	1	no	—
752	#432	—	11	1	no	—
753	#432	—	11	2	no	—
754	#432	C₂×D₁₁	1	1	yes	characteristic
755	#432	C₂×D₁₁	1	1	yes	characteristic, complemented
756	#431	—	11	1	no	—
757	#431	—	11	1	no	—
758	#431	—	11	1	no	—
759	#431	—	11	1	no	—
760	#431	—	11	1	no	—
761	#431	—	11	2	no	—
762	#431	C₂×D₁₁	1	1	yes	characteristic, complemented
763	#424	—	11	2	no	—
764	#424	—	11	2	no	—
765	#424	—	11	2	no	—
766	#424	—	11	2	no	—
767	#424	—	11	2	no	—
768	#424	—	11	2	no	—
769	#423	—	11	1	no	—
770	#423	—	11	1	no	—
771	#423	—	11	1	no	—
772	#423	—	11	1	no	—
773	#423	—	11	1	no	—
774	#423	C₂×D₁₁	1	1	yes	characteristic, complemented
775	C₂×C₄⋊C₈	—	11	2	no	—
776	C₂×C₄⋊C₈	—	11	1	no	—
777	C₂×C₄⋊C₈	—	11	1	no	—
778	C₂×C₄⋊C₈	—	11	1	no	—
779	C₂×C₄⋊C₈	—	11	1	no	—
780	C₂×C₄⋊C₈	—	11	2	no	—
781	C₂×C₄⋊C₈	—	11	1	no	—
782	C₂×C₄⋊C₈	—	11	1	no	—
783	C₂×C₄⋊C₈	—	11	2	no	—
784	C₂×C₄⋊C₈	—	11	1	no	—
785	C₂×C₄⋊C₈	—	11	1	no	—
786	C₂×C₄⋊C₈	C₂×D₁₁	1	1	yes	characteristic
787	C₂×C₄⋊C₈	C₂×D₁₁	1	1	yes	characteristic, complemented
788	#408	—	11	2	no	—
789	#408	—	11	2	no	—
790	#407	—	11	2	no	—
791	#405	—	11	2	no	—
792	#405	—	11	2	no	—
793	C₄×M₁₆	—	11	2	no	—
794	C₂²×C₁₁	—	2	1	no	—
795	C₂²×C₁₁	—	2	1	no	—
796	C₂²×C₁₁	—	2	1	no	—
797	C₂²×C₁₁	—	2	1	no	—
798	C₂²×C₁₁	—	2	1	no	—
799	C₂²×C₁₁	—	2	1	no	—
800	C₂²×C₁₁	—	2	1	no	—
801	C₂²×C₁₁	—	2	1	no	—
802	C₂²×C₁₁	#568	1	2	yes	—
803	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
804	C₂×D₁₁	—	2	8	no	—
805	C₂×D₁₁	—	2	1	no	—
806	C₂×D₁₁	—	2	1	no	—
807	C₂×D₁₁	—	2	1	no	—
808	C₂×D₁₁	—	2	1	no	—
809	C₂×D₁₁	—	2	1	no	—
810	C₂×D₁₁	—	2	1	no	—
811	C₂×D₁₁	—	2	1	no	—
812	C₂×D₁₁	—	2	1	no	—
813	C₂×D₁₁	—	2	1	no	—
814	C₂×D₁₁	—	2	1	no	—
815	C₂×D₁₁	#520	1	2	yes	—
816	C₂×D₁₁	C₂×#131	1	2	yes	—
817	C₄×C₁₁	—	2	1	no	—
818	C₄×C₁₁	—	2	1	no	—
819	C₄×C₁₁	—	2	1	no	—
820	C₄×C₁₁	—	2	1	no	—
821	C₄×C₁₁	—	2	1	no	—
822	C₄×C₁₁	—	2	1	no	—
823	C₄×C₁₁	—	2	1	no	—
824	C₄×C₁₁	—	2	1	no	—
825	C₄×C₁₁	—	2	1	no	—
826	C₄×C₁₁	—	2	1	no	—
827	C₄×C₁₁	C₂×#131	1	2	yes	—
828	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
829	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
830	Dic₁₁	—	2	1	no	—
831	Dic₁₁	—	2	1	no	—
832	Dic₁₁	—	2	1	no	—
833	Dic₁₁	—	2	1	no	—
834	Dic₁₁	—	2	1	no	—
835	Dic₁₁	—	2	1	no	—
836	Dic₁₁	—	2	1	no	—
837	Dic₁₁	—	2	1	no	—
838	Dic₁₁	—	2	1	no	—
839	Dic₁₁	—	2	1	no	—
840	Dic₁₁	#520	1	2	yes	—
841	Dic₁₁	C₂×#131	1	2	yes	—
842	C₂×#41	—	11	1	no	—
843	C₂×#41	—	11	1	no	—
844	C₂×#41	—	11	1	no	—
845	C₂×#41	—	11	1	no	—
846	C₂×#41	—	11	1	no	—
847	C₂×#41	C₄×D₁₁	1	1	yes	characteristic
848	C₂³×C₄	—	11	1	no	—
849	C₂³×C₄	—	11	1	no	—
850	C₂³×C₄	—	11	1	no	—
851	#131	—	44	4	no	—
852	#131	—	44	4	no	—
853	C₂×M₁₆	—	11	2	no	—
854	C₂×M₁₆	—	11	2	no	—
855	C₂×M₁₆	—	11	2	no	—
856	C₂×M₁₆	—	11	2	no	—
857	C₂×M₁₆	—	11	2	no	—
858	C₂×M₁₆	C₂²×D₁₁	1	2	yes	—
859	C₂²×C₈	—	11	2	no	—
860	C₂²×C₈	—	11	2	no	—
861	C₂²×C₈	—	11	2	no	—
862	C₂²×C₈	—	11	2	no	—
863	C₂²×C₈	—	11	2	no	—
864	C₂²×C₈	—	11	2	no	—
865	C₂²×C₈	—	11	2	no	—
866	C₂²×C₈	—	11	2	no	—
867	C₂²×C₈	—	44	4	no	—
868	C₂²×C₈	C₂²×D₁₁	1	2	yes	—
869	C₂²×C₈	C₂²×D₁₁	1	2	yes	—
870	C₄⋊Q₈	—	11	1	no	—
871	C₄⋊Q₈	—	11	1	no	—
872	C₄⋊Q₈	—	11	1	no	—
873	#127	—	11	1	no	—
874	#126	—	11	1	no	—
875	#126	—	11	1	no	—
876	#126	—	11	1	no	—
877	#126	—	11	1	no	—
878	#126	—	11	1	no	—
879	#126	—	11	1	no	—
880	#126	—	11	1	no	—
881	#126	—	11	1	no	—
882	#125	—	11	1	no	—
883	#125	—	11	1	no	—
884	#125	—	11	1	no	—
885	#125	—	11	1	no	—
886	#125	—	11	1	no	—
887	#125	—	11	1	no	—
888	#124	—	11	1	no	—
889	#124	—	11	1	no	—
890	#124	—	11	1	no	—
891	#124	—	11	1	no	—
892	#124	—	11	1	no	—
893	#124	—	11	1	no	—
894	#123	—	11	1	no	—
895	#123	—	11	1	no	—
896	#123	—	11	1	no	—
897	#123	—	11	1	no	—
898	#123	—	11	1	no	—
899	#123	—	11	1	no	—
900	#123	—	11	1	no	—
901	#123	—	11	1	no	—
902	#123	—	11	1	no	—
903	#123	—	11	1	no	—
904	#123	—	11	1	no	—
905	#123	—	11	1	no	—
906	C₂²⋊Q₈	—	11	1	no	—
907	C₂²⋊Q₈	—	11	1	no	—
908	C₂²⋊Q₈	—	11	1	no	—
909	C₂²⋊Q₈	—	11	1	no	—
910	C₂²⋊Q₈	—	11	1	no	—
911	C₂²⋊Q₈	—	11	1	no	—
912	C₂²⋊Q₈	—	11	1	no	—
913	C₂²⋊Q₈	—	11	1	no	—
914	C₂²⋊Q₈	—	11	1	no	—
915	C₂²⋊Q₈	—	11	1	no	—
916	C₂²⋊Q₈	—	11	1	no	—
917	C₂²⋊Q₈	—	11	1	no	—
918	#121	—	11	1	no	—
919	#121	—	11	1	no	—
920	#121	—	11	1	no	—
921	#121	—	11	1	no	—
922	#121	—	11	1	no	—
923	#121	—	11	1	no	—
924	#121	—	11	1	no	—
925	#121	—	11	1	no	—
926	#121	—	11	1	no	—
927	#121	—	11	1	no	—
928	#121	—	11	1	no	—
929	#121	—	11	1	no	—
930	#120	—	11	1	no	—
931	#120	—	11	1	no	—
932	#120	—	11	1	no	—
933	#120	—	11	1	no	—
934	C₄×Q₈	—	11	1	no	—
935	C₄×Q₈	—	11	1	no	—
936	C₄×Q₈	—	11	1	no	—
937	C₄×Q₈	—	11	1	no	—
938	C₄×Q₈	—	11	1	no	—
939	C₄×Q₈	—	11	1	no	—
940	C₄×Q₈	—	11	1	no	—
941	C₄×Q₈	—	11	1	no	—
942	C₄×Q₈	—	11	1	no	—
943	C₄×Q₈	—	11	1	no	—
944	C₄×Q₈	C₄×D₁₁	1	1	yes	characteristic
945	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
946	C₄×D₄	—	11	1	no	—
947	C₄×D₄	—	11	1	no	—
948	C₄×D₄	—	11	1	no	—
949	C₄×D₄	—	11	1	no	—
950	C₄×D₄	—	11	1	no	—
951	C₄×D₄	—	11	1	no	—
952	C₄×D₄	—	11	1	no	—
953	C₄×D₄	—	11	1	no	—
954	C₄×D₄	—	11	1	no	—
955	C₄×D₄	—	11	1	no	—
956	C₄×D₄	—	11	1	no	—
957	C₄×D₄	—	11	1	no	—
958	C₄×D₄	—	11	1	no	—
959	C₄×D₄	—	11	1	no	—
960	C₄×D₄	—	11	1	no	—
961	C₄×D₄	—	11	1	no	—
962	C₄×D₄	—	11	1	no	—
963	C₄×D₄	—	11	1	no	—
964	C₄×D₄	—	11	1	no	—
965	C₄×D₄	—	11	1	no	—
966	C₄×D₄	—	11	1	no	—
967	C₄×D₄	—	11	1	no	—
968	C₄×D₄	—	11	1	no	—
969	C₄×D₄	—	11	1	no	—
970	C₄×D₄	—	11	1	no	—
971	C₄×D₄	—	11	1	no	—
972	C₄×D₄	—	11	1	no	—
973	C₄×D₄	—	11	1	no	—
974	C₄×D₄	—	11	1	no	—
975	C₄×D₄	—	11	1	no	—
976	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
977	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
978	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
979	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
980	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
981	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
982	#117	—	11	1	no	—
983	#117	—	11	1	no	—
984	#117	—	11	1	no	—
985	#117	—	11	1	no	—
986	#117	—	11	1	no	—
987	#117	—	11	1	no	—
988	#117	—	11	1	no	—
989	#117	—	11	1	no	—
990	#117	—	11	1	no	—
991	#117	—	11	1	no	—
992	#117	—	11	1	no	—
993	#117	—	11	1	no	—
994	#117	—	11	1	no	—
995	#117	—	11	1	no	—
996	#117	—	11	1	no	—
997	#117	C₄×D₁₁	1	1	yes	characteristic
998	#117	C₄×D₁₁	1	1	yes	characteristic
999	#117	C₄×D₁₁	1	1	yes	characteristic
1000	C₂×C₄²	—	11	1	no	—
1001	C₂×C₄²	—	11	1	no	—
1002	C₂×C₄²	—	11	1	no	—
1003	C₂×C₄²	—	11	1	no	—
1004	C₂×C₄²	—	11	1	no	—
1005	C₂×C₄²	—	11	1	no	—
1006	C₂×C₄²	—	11	1	no	—
1007	C₂×C₄²	—	11	1	no	—
1008	C₂×C₄²	—	11	1	no	—
1009	C₂×C₄²	—	11	1	no	—
1010	C₂×C₄²	—	11	1	no	—
1011	C₂×C₄²	—	11	1	no	—
1012	C₂×C₄²	—	11	1	no	—
1013	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1014	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1015	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1016	C₄⋊C₈	—	11	2	no	—
1017	C₄⋊C₈	—	11	2	no	—
1018	C₄⋊C₈	—	11	2	no	—
1019	C₄⋊C₈	—	11	2	no	—
1020	C₄⋊C₈	—	11	2	no	—
1021	C₄⋊C₈	—	11	2	no	—
1022	C₄⋊C₈	—	11	2	no	—
1023	C₄⋊C₈	—	11	2	no	—
1024	C₄⋊C₈	—	11	2	no	—
1025	C₄⋊C₈	—	11	2	no	—
1026	C₄⋊C₈	—	11	1	no	—
1027	C₄⋊C₈	—	11	1	no	—
1028	C₄⋊C₈	—	11	2	no	—
1029	C₄⋊C₈	—	11	1	no	—
1030	C₄⋊C₈	—	11	2	no	—
1031	C₄⋊C₈	—	11	2	no	—
1032	C₄⋊C₈	—	11	1	no	—
1033	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1034	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1035	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
1036	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1037	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
1038	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1039	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
1040	C₂²⋊C₈	—	11	2	no	—
1041	C₂²⋊C₈	—	11	2	no	—
1042	C₂²⋊C₈	—	11	2	no	—
1043	C₂²⋊C₈	—	11	2	no	—
1044	C₂²⋊C₈	—	11	2	no	—
1045	C₂²⋊C₈	—	11	2	no	—
1046	C₂²⋊C₈	—	11	2	no	—
1047	C₂²⋊C₈	—	11	2	no	—
1048	C₂²⋊C₈	—	11	2	no	—
1049	C₂²⋊C₈	C₂²×D₁₁	1	2	yes	—
1050	C₂²⋊C₈	C₂²×D₁₁	1	2	yes	—
1051	C₂²⋊C₈	C₂²×D₁₁	1	2	yes	—
1052	#97	—	11	2	no	—
1053	#97	—	11	2	no	—
1054	#97	—	11	2	no	—
1055	#97	—	11	2	no	—
1056	#97	C₂²×D₁₁	1	2	yes	—
1057	#97	C₂²×D₁₁	1	2	yes	—
1058	C₄×C₈	—	11	2	no	—
1059	C₄×C₈	—	11	2	no	—
1060	C₄×C₈	—	11	2	no	—
1061	C₄×C₈	—	11	2	no	—
1062	C₄×C₈	—	11	2	no	—
1063	C₄×C₈	C₂²×D₁₁	1	2	yes	—
1064	C₂×C₁₁	—	2	2	no	—
1065	C₂×C₁₁	—	4	1	no	—
1066	C₂×C₁₁	—	4	1	no	—
1067	C₂×C₁₁	C₂×#520	1	1	yes	characteristic
1068	C₂×C₁₁	C₂²×#131	1	1	yes	characteristic
1069	C₂×C₁₁	C₂×#568	1	1	yes	characteristic
1070	D₁₁	—	2	2	no	—
1071	D₁₁	—	2	2	no	—
1072	D₁₁	—	4	1	no	—
1073	D₁₁	—	4	1	no	—
1074	C₂⁴	—	11	1	no	—
1075	#41	—	4	2	no	—
1076	#41	—	22	2	no	—
1077	#41	—	22	2	no	—
1078	#41	—	22	4	no	—
1079	#41	—	22	4	no	—
1080	#41	—	22	2	no	—
1081	#41	—	22	2	no	—
1082	#41	—	44	2	no	—
1083	C₂×Q₈	—	11	1	no	—
1084	C₂×Q₈	—	11	1	no	—
1085	C₂×Q₈	—	11	1	no	—
1086	C₂×Q₈	—	11	1	no	—
1087	C₂×Q₈	—	11	1	no	—
1088	C₂×Q₈	C₂×C₄×D₁₁	1	1	yes	characteristic
1089	C₂×D₄	—	11	1	no	—
1090	C₂×D₄	—	11	1	no	—
1091	C₂×D₄	—	11	1	no	—
1092	C₂×D₄	—	11	1	no	—
1093	C₂×D₄	—	11	1	no	—
1094	C₂×D₄	—	11	1	no	—
1095	C₂×D₄	—	11	1	no	—
1096	C₂×D₄	—	11	1	no	—
1097	C₂×D₄	—	11	1	no	—
1098	C₂×D₄	—	11	1	no	—
1099	C₂×D₄	—	11	1	no	—
1100	C₂×D₄	—	11	1	no	—
1101	C₂×D₄	—	11	1	no	—
1102	C₂×D₄	—	11	1	no	—
1103	C₂×D₄	—	11	1	no	—
1104	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1105	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1106	C₂×D₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1107	C₂²×C₄	—	11	1	no	—
1108	C₂²×C₄	—	11	1	no	—
1109	C₂²×C₄	—	11	1	no	—
1110	C₂²×C₄	—	11	1	no	—
1111	C₂²×C₄	—	11	1	no	—
1112	C₂²×C₄	—	11	1	no	—
1113	C₂²×C₄	—	11	1	no	—
1114	C₂²×C₄	—	11	1	no	—
1115	C₂²×C₄	—	11	1	no	—
1116	C₂²×C₄	—	11	1	no	—
1117	C₂²×C₄	—	11	1	no	—
1118	C₂²×C₄	—	11	1	no	—
1119	C₂²×C₄	—	11	1	no	—
1120	C₂²×C₄	—	11	1	no	—
1121	C₂²×C₄	—	11	1	no	—
1122	C₂²×C₄	—	11	1	no	—
1123	C₂²×C₄	—	11	1	no	—
1124	C₂²×C₄	—	11	1	no	—
1125	C₂²×C₄	—	11	1	no	—
1126	C₂²×C₄	—	11	1	no	—
1127	C₂²×C₄	—	11	1	no	—
1128	C₂²×C₄	—	22	2	no	—
1129	C₂²×C₄	—	22	4	no	—
1130	C₂²×C₄	—	22	2	no	—
1131	C₂²×C₄	—	44	2	no	—
1132	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1133	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1134	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1135	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1136	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1137	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1141	M₁₆	—	4	2	no	—
1142	M₁₆	—	22	4	no	—
1143	M₁₆	—	22	4	no	—
1144	M₁₆	—	44	2	no	—
1145	M₁₆	—	44	2	no	—
1146	M₁₆	—	44	2	no	—
1147	C₂×C₈	—	4	2	no	—
1148	C₂×C₈	—	4	2	no	—
1149	C₂×C₈	—	11	2	no	—
1150	C₂×C₈	—	11	2	no	—
1151	C₂×C₈	—	11	2	no	—
1152	C₂×C₈	—	11	2	no	—
1153	C₂×C₈	—	22	4	no	—
1154	C₂×C₈	—	22	4	no	—
1155	C₂×C₈	—	44	2	no	—
1156	C₂×C₈	—	44	2	no	—
1157	C₂×C₈	—	44	2	no	—
1158	C₂×C₈	—	44	2	no	—
1159	C₂×C₈	—	44	2	no	—
1160	C₂×C₈	—	44	2	no	—
1161	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1162	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1163	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1164	C₂×C₈	C₂³×D₁₁	1	2	yes	—
1165	C₄⋊C₄	—	11	1	no	—
1166	C₄⋊C₄	—	11	1	no	—
1167	C₄⋊C₄	—	11	1	no	—
1168	C₄⋊C₄	—	11	1	no	—
1169	C₄⋊C₄	—	11	1	no	—
1170	C₄⋊C₄	—	11	1	no	—
1171	C₄⋊C₄	—	11	1	no	—
1172	C₄⋊C₄	—	11	1	no	—
1173	C₄⋊C₄	—	11	1	no	—
1174	C₄⋊C₄	—	11	1	no	—
1175	C₄⋊C₄	—	11	1	no	—
1176	C₄⋊C₄	—	11	1	no	—
1177	C₄⋊C₄	—	11	1	no	—
1178	C₄⋊C₄	—	11	1	no	—
1179	C₄⋊C₄	—	11	1	no	—
1180	C₄⋊C₄	—	11	1	no	—
1181	C₄⋊C₄	—	11	1	no	—
1182	C₄⋊C₄	—	11	1	no	—
1183	C₄⋊C₄	—	11	1	no	—
1184	C₄⋊C₄	—	11	1	no	—
1185	C₄⋊C₄	—	11	1	no	—
1186	C₄⋊C₄	—	11	1	no	—
1187	C₄⋊C₄	—	11	1	no	—
1188	C₄⋊C₄	—	11	1	no	—
1189	C₄⋊C₄	—	11	1	no	—
1190	C₄⋊C₄	—	11	1	no	—
1191	C₄⋊C₄	—	11	1	no	—
1192	C₄⋊C₄	—	11	1	no	—
1193	C₄⋊C₄	—	11	1	no	—
1194	C₄⋊C₄	—	11	1	no	—
1195	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1196	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1197	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1198	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1199	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1200	C₄⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1201	C₂²⋊C₄	—	11	1	no	—
1202	C₂²⋊C₄	—	11	1	no	—
1203	C₂²⋊C₄	—	11	1	no	—
1204	C₂²⋊C₄	—	11	1	no	—
1205	C₂²⋊C₄	—	11	1	no	—
1206	C₂²⋊C₄	—	11	1	no	—
1207	C₂²⋊C₄	—	11	1	no	—
1208	C₂²⋊C₄	—	11	1	no	—
1209	C₂²⋊C₄	—	11	1	no	—
1210	C₂²⋊C₄	—	11	1	no	—
1211	C₂²⋊C₄	—	11	1	no	—
1212	C₂²⋊C₄	—	11	1	no	—
1213	C₂²⋊C₄	—	11	1	no	—
1214	C₂²⋊C₄	—	11	1	no	—
1215	C₂²⋊C₄	—	11	1	no	—
1216	C₂²⋊C₄	—	11	1	no	—
1217	C₂²⋊C₄	—	11	1	no	—
1218	C₂²⋊C₄	—	11	1	no	—
1219	C₂²⋊C₄	—	11	1	no	—
1220	C₂²⋊C₄	—	11	1	no	—
1221	C₂²⋊C₄	—	11	1	no	—
1222	C₂²⋊C₄	—	11	1	no	—
1223	C₂²⋊C₄	—	11	1	no	—
1224	C₂²⋊C₄	—	11	1	no	—
1225	C₂²⋊C₄	—	11	1	no	—
1226	C₂²⋊C₄	—	11	1	no	—
1227	C₂²⋊C₄	—	11	1	no	—
1228	C₂²⋊C₄	—	11	1	no	—
1229	C₂²⋊C₄	—	11	1	no	—
1230	C₂²⋊C₄	—	11	1	no	—
1231	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1232	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1233	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1234	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1235	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1236	C₂²⋊C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
1237	C₄²	—	11	1	no	—
1238	C₄²	—	11	1	no	—
1239	C₄²	—	11	1	no	—
1240	C₄²	—	11	1	no	—
1241	C₄²	—	11	1	no	—
1242	C₄²	—	11	1	no	—
1243	C₄²	—	11	1	no	—
1244	C₄²	—	11	1	no	—
1245	C₄²	—	11	1	no	—
1246	C₄²	—	11	1	no	—
1247	C₄²	—	11	1	no	—
1248	C₄²	—	11	1	no	—
1249	C₄²	—	11	1	no	—
1250	C₄²	—	11	1	no	—
1251	C₄²	—	11	1	no	—
1252	C₄²	—	11	1	no	—
1253	C₄²	—	11	1	no	—
1254	C₄²	—	11	1	no	—
1255	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1256	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1257	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1258	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1259	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1260	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
1261	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1262	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1263	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1264	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1265	C₁₁	#60265	1	1	yes	characteristic, complemented, Sylow
1266	C₂³	—	11	1	no	—
1267	C₂³	—	11	1	no	—
1268	C₂³	—	11	1	no	—
1269	C₂³	—	11	1	no	—
1270	C₂³	—	22	2	no	—
1271	C₂³	—	22	2	no	—
1272	C₂³	—	22	2	no	—
1273	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1274	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1275	C₂³	C₂²×C₄×D₁₁	1	1	yes	characteristic
1276	Q₈	—	4	1	no	—
1277	Q₈	—	22	2	no	—
1278	Q₈	—	22	2	no	—
1279	Q₈	—	22	2	no	—
1280	Q₈	—	22	2	no	—
1281	Q₈	—	44	1	no	—
1282	D₄	—	2	2	no	—
1283	D₄	—	2	2	no	—
1284	D₄	—	4	1	no	—
1285	D₄	—	22	2	no	—
1286	D₄	—	22	2	no	—
1287	D₄	—	22	2	no	—
1288	D₄	—	22	2	no	—
1289	D₄	—	22	2	no	—
1290	D₄	—	22	2	no	—
1291	D₄	—	22	2	no	—
1292	D₄	—	22	2	no	—
1293	D₄	—	22	2	no	—
1294	D₄	—	22	2	no	—
1295	D₄	—	22	2	no	—
1296	D₄	—	22	2	no	—
1297	D₄	—	22	2	no	—
1298	D₄	—	22	2	no	—
1299	D₄	—	44	1	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	2	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	4	1	no	—
1311	C₂×C₄	—	4	1	no	—
1312	C₂×C₄	—	11	1	no	—
1313	C₂×C₄	—	11	1	no	—
1314	C₂×C₄	—	11	4	no	—
1315	C₂×C₄	—	11	2	no	—
1316	C₂×C₄	—	11	2	no	—
1317	C₂×C₄	—	11	1	no	—
1318	C₂×C₄	—	11	1	no	—
1319	C₂×C₄	—	11	1	no	—
1320	C₂×C₄	—	11	1	no	—
1321	C₂×C₄	—	11	1	no	—
1322	C₂×C₄	—	11	1	no	—
1323	C₂×C₄	—	11	1	no	—
1324	C₂×C₄	—	11	1	no	—
1325	C₂×C₄	—	11	1	no	—
1326	C₂×C₄	—	11	1	no	—
1327	C₂×C₄	—	22	2	no	—
1328	C₂×C₄	—	22	2	no	—
1329	C₂×C₄	—	22	2	no	—
1330	C₂×C₄	—	22	2	no	—
1331	C₂×C₄	—	22	2	no	—
1332	C₂×C₄	—	22	2	no	—
1333	C₂×C₄	—	22	2	no	—
1334	C₂×C₄	—	22	2	no	—
1335	C₂×C₄	—	22	2	no	—
1336	C₂×C₄	—	22	2	no	—
1337	C₂×C₄	—	22	1	no	—
1338	C₂×C₄	—	22	1	no	—
1339	C₂×C₄	—	22	1	no	—
1340	C₂×C₄	—	22	1	no	—
1341	C₂×C₄	—	22	1	no	—
1342	C₂×C₄	—	22	1	no	—
1343	C₂×C₄	—	44	1	no	—
1344	C₂×C₄	—	44	1	no	—
1345	C₂×C₄	—	44	1	no	—
1346	C₂×C₄	—	44	1	no	—
1347	C₂×C₄	—	44	1	no	—
1348	C₂×C₄	—	44	1	no	—
1349	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1350	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1351	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1352	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1353	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1354	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1355	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1356	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1357	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1358	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1359	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
1360	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1361	C₈	—	2	2	no	—
1362	C₈	—	2	2	no	—
1363	C₈	—	2	2	no	—
1364	C₈	—	2	2	no	—
1365	C₈	—	22	2	no	—
1366	C₈	—	22	2	no	—
1367	C₈	—	22	2	no	—
1368	C₈	—	22	2	no	—
1369	C₂²	—	2	1	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	2	1	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	11	2	no	—
1378	C₂²	—	11	2	no	—
1379	C₂²	—	22	8	no	—
1380	C₂²	—	22	1	no	—
1381	C₂²	—	22	1	no	—
1382	C₂²	—	22	1	no	—
1383	C₂²	—	22	1	no	—
1384	C₂²	—	22	1	no	—
1385	C₂²	—	22	1	no	—
1386	C₂²	—	22	1	no	—
1387	C₂²	—	22	1	no	—
1388	C₂²	—	22	1	no	—
1389	C₂²	—	22	1	no	—
1390	C₂²	#10623276	1	2	yes	—
1391	C₂²	C₂³×C₄×D₁₁	1	1	yes	characteristic
1392	C₄	—	2	1	no	—
1393	C₄	—	2	1	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	1	no	—
1401	C₄	—	2	1	no	—
1402	C₄	—	11	2	no	—
1403	C₄	—	11	2	no	—
1404	C₄	—	22	1	no	—
1405	C₄	—	22	1	no	—
1406	C₄	—	22	1	no	—
1407	C₄	—	22	1	no	—
1408	C₄	—	22	1	no	—
1409	C₄	—	22	1	no	—
1410	C₄	—	22	1	no	—
1411	C₄	—	22	1	no	—
1412	C₄	—	22	1	no	—
1413	C₄	—	22	1	no	—
1414	C₄	D₁₁×#131	1	2	yes	—
1415	C₄	D₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1416	C₄	D₁₁×2₋¹⁺⁴	1	1	yes	characteristic
1417	C₂	—	2	2	no	—
1418	C₂	—	4	1	no	—
1419	C₂	—	4	1	no	—
1420	C₂	—	22	2	no	—
1421	C₂	—	22	2	no	—
1422	C₂	—	44	1	no	—
1423	C₂	—	44	1	no	—
1424	C₂	D₁₁×#520	1	1	yes	characteristic
1425	C₂	C₂×D₁₁×#131	1	1	yes	characteristic
1426	C₂	C₂×#10623276	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₁
commutator, socle	C₂²×C₁₁	C₂⁴×C₄
Fitting	C₁₁×#2990	C₂
prime radical	#13081909	C₂
cosocle	C₂×C₄×C₁₁	C₂⁵
hypercenter	#2990	D₁₁
hypocenter	C₁₁	#60265
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₄ ◁ #2990

Complements

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

N	H ≅ G/N	type
2. #13077773	C₂	semidirect
3. #13077769	C₂	semidirect
4. #13077754	C₂	semidirect
5. #13077751	C₂	semidirect
6. #13077743	C₂	semidirect
7. #13077741	C₂	semidirect
8. #13077738	C₂	semidirect
9. #13077735	C₂	semidirect
10. #13077730	C₂	semidirect
11. #13077725	C₂	semidirect
12. #13077724	C₂	semidirect
13. #13077561	C₂	semidirect
14. #13077357	C₂	semidirect
15. #13077307	C₂	semidirect
16. #13077305	C₂	semidirect
17. #13077283	C₂	semidirect
18. #13077277	C₂	semidirect
19. #13077246	C₂	semidirect
20. #13077185	C₂	semidirect
21. #13077181	C₂	semidirect
22. C₂×D₁₁×C₄⋊C₈	C₂	semidirect
23. C₁₁×#2990	C₂	semidirect
58. C₁₁×#446	C₂²	semidirect
60. C₁₁×#435	C₂²	semidirect
63. C₁₁×#432	C₂²	semidirect
64. C₁₁×#431	C₂²	semidirect
65. C₁₁×#423	C₂²	semidirect
67. C₂×C₁₁×C₄⋊C₈	C₂²	semidirect
68. #10622741	C₂²	semidirect
70. #10622732	C₂²	semidirect
74. C₈×C₂²⋊D₁₁	C₂²	semidirect
75. #10622715	C₂²	semidirect
77. #10622637	C₂²	semidirect
79. #10622624	C₂²	semidirect
82. #10622539	C₂²	semidirect
83. #10622538	C₂²	semidirect
84. #10622537	C₂²	semidirect
86. C₂×C₄⋊(C₁₁⋊C₈)	C₂²	semidirect
89. #10622452	C₂²	semidirect
90. #10622452	C₂²	semidirect
93. #10622450	C₂²	semidirect
94. #10622450	C₂²	semidirect
96. #10622449	C₂²	semidirect
97. #10622448	C₂²	semidirect
98. #10622448	C₂²	semidirect
102. #10622446	C₂²	semidirect
103. #10622446	C₂²	semidirect
110. D₁₁×C₄⋊C₈	C₂²	semidirect
111. D₁₁×C₄⋊C₈	C₂²	semidirect
112. #10622443	C₂²	semidirect
113. #10622441	C₂²	semidirect
114. #10622441	C₂²	semidirect
116. #10622342	C₂²	semidirect
123. (C₂²⋊D₁₁)⋊C₈	C₂²	semidirect
124. #10622333	C₂²	semidirect
125. #10622333	C₂²	semidirect
127. #10622322	C₂²	semidirect
131. #10622319	C₂²	semidirect
133. #10622314	C₂²	semidirect
134. #10622314	C₂²	semidirect
135. #10622303	C₂²	semidirect
138. C₈×Dic₂₂	C₂²	semidirect
561. #2990	D₁₁	semidirect
663. C₄×D₁₁	#131	semidirect
718. #446	C₂×D₁₁	semidirect
734. #435	C₂×D₁₁	semidirect
755. #432	C₂×D₁₁	semidirect
762. #431	C₂×D₁₁	semidirect
774. #423	C₂×D₁₁	semidirect
787. C₂×C₄⋊C₈	C₂×D₁₁	semidirect
1265. C₁₁	#60265	semidirect

Maximal subgroups

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

subgroup	index
#13081909	2
#13077773	2
#13077769	2
#13077754	2
#13077751	2
#13077743	2
#13077741	2
#13077738	2
#13077735	2
#13077730	2
#13077725	2
#13077724	2
#13077561	2
#13077357	2
#13077307	2
#13077305	2
#13077283	2
#13077277	2
#13077246	2
#13077185	2
#13077181	2
C₂×D₁₁×C₄⋊C₈	2
C₁₁×#2990	2
#60265	11