Subgroups — D₁₁×#3508 #15662124

Order 2816.

8622 conjugacy classes of subgroups.

The subgroup lattice has 1284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13082493	C₂	1	1	yes	maximal, characteristic, complemented
2	#13082492	C₂	1	1	yes	maximal, characteristic, complemented
3	#13082491	C₂	1	2	yes	maximal, complemented
4	#13082490	C₂	1	1	yes	maximal, characteristic, complemented
5	#13082489	C₂	1	4	yes	maximal, complemented
6	#13082488	C₂	1	4	yes	maximal, complemented
7	#13082487	C₂	1	2	yes	maximal, complemented
8	#13082486	C₂	1	4	yes	maximal, complemented
9	#13082485	C₂	1	4	yes	maximal, complemented
10	#13082484	C₂	1	8	yes	maximal, complemented
11	D₁₁×#559	C₂	1	4	yes	maximal, complemented
12	D₁₁×#550	C₂	1	4	yes	maximal, complemented
13	D₁₁×#546	C₂	1	8	yes	maximal, complemented
14	D₁₁×#540	C₂	1	4	yes	maximal, complemented
15	D₁₁×#535	C₂	1	2	yes	maximal, complemented
16	D₁₁×#533	C₂	1	1	yes	maximal, characteristic, complemented
17	D₁₁×#532	C₂	1	4	yes	maximal, complemented
18	C₂×D₁₁×#127	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₁×#518	C₂	1	2	yes	maximal, complemented
20	C₄×#41×D₁₁	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₁×#3508	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#41×D₁₁	C₂²	1	1	yes	characteristic
23	C₂×#41×D₁₁	C₂²	1	8	yes	complemented
24	C₂²×D₄×D₁₁	C₂²	1	2	yes	—
25	C₂²×D₄×D₁₁	C₂²	1	4	yes	—
26	C₁₁×#559	C₂²	1	4	yes	complemented
27	C₁₁×#550	C₂²	1	4	yes	complemented
28	C₁₁×#546	C₂²	1	8	yes	complemented
29	C₁₁×#540	C₂²	1	4	yes	complemented
30	C₁₁×#535	C₂²	1	2	yes	complemented
31	C₁₁×#533	C₂²	1	1	yes	characteristic, complemented
32	C₁₁×#532	C₂²	1	4	yes	complemented
33	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic, complemented
34	C₁₁×#518	C₂²	1	2	yes	complemented
35	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic, complemented
36	#10623365	C₂²	1	8	yes	complemented
37	#10623363	C₂²	1	8	yes	complemented
38	#10623361	C₂²	1	2	yes	complemented
39	#10623360	C₂²	1	8	yes	complemented
40	#41×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
41	#10623337	C₂²	1	8	yes	complemented
42	#10623336	C₂²	1	2	yes	complemented
43	C₂×#66993	C₂²	1	4	yes	complemented
44	C₂×#66993	C₂²	1	2	yes	complemented
45	#10623329	C₂²	1	2	yes	complemented
46	#10623259	C₂²	1	2	yes	complemented
47	#10623256	C₂²	1	4	yes	complemented
48	D₁₁×C₄⋊Q₈	C₂²	1	2	yes	complemented
49	#10623250	C₂²	1	4	yes	complemented
50	#10623249	C₂²	1	8	yes	complemented
51	#10623249	C₂²	1	4	yes	complemented
52	#10623247	C₂²	1	4	yes	complemented
53	#10623246	C₂²	1	4	yes	complemented
54	D₁₁×#127	C₂²	1	2	yes	—
55	D₁₁×#127	C₂²	1	4	yes	—
56	D₁₁×#127	C₂²	1	2	yes	—
57	D₁₁×#127	C₂²	1	2	yes	complemented
58	D₁₁×#127	C₂²	1	4	yes	complemented
59	D₁₁×#127	C₂²	1	2	yes	complemented
60	D₁₁×#127	C₂²	1	4	yes	complemented
61	#10623244	C₂²	1	4	yes	complemented
62	#10623229	C₂²	1	4	yes	complemented
63	#10623219	C₂²	1	2	yes	complemented
64	D₁₁×#125	C₂²	1	2	yes	complemented
65	#10623212	C₂²	1	8	yes	complemented
66	#10623212	C₂²	1	8	yes	complemented
67	#10623207	C₂²	1	8	yes	complemented
68	#10623205	C₂²	1	4	yes	complemented
69	D₁₁×#124	C₂²	1	8	yes	complemented
70	D₁₁×#124	C₂²	1	4	yes	complemented
71	#10623199	C₂²	1	8	yes	complemented
72	#10623195	C₂²	1	16	yes	complemented
73	#10623194	C₂²	1	16	yes	complemented
74	#10623185	C₂²	1	16	yes	complemented
75	D₁₁×#123	C₂²	1	16	yes	complemented
76	#10623161	C₂²	1	8	yes	complemented
77	D₁₁×C₂²⋊Q₈	C₂²	1	4	yes	—
78	#10623153	C₂²	1	4	yes	complemented
79	#10623150	C₂²	1	8	yes	complemented
80	#10623146	C₂²	1	16	yes	complemented
81	#10623143	C₂²	1	8	yes	complemented
82	#10623141	C₂²	1	16	yes	complemented
83	#10623138	C₂²	1	8	yes	complemented
84	D₁₁×#121	C₂²	1	8	yes	complemented
85	D₁₁×#121	C₂²	1	8	yes	complemented
86	D₁₁×#121	C₂²	1	16	yes	complemented
87	#10623130	C₂²	1	8	yes	complemented
88	#10623130	C₂²	1	16	yes	complemented
89	#10623127	C₂²	1	8	yes	complemented
90	#10623127	C₂²	1	8	yes	complemented
91	#10623123	C₂²	1	8	yes	complemented
92	#10623122	C₂²	1	16	yes	complemented
93	D₁₁×#120	C₂²	1	8	yes	—
94	#10623116	C₂²	1	4	yes	complemented
95	#10623116	C₂²	1	4	yes	complemented
96	#10623109	C₂²	1	4	yes	complemented
97	#10623108	C₂²	1	4	yes	complemented
98	C₄×#4343	C₂²	1	2	yes	complemented
99	C₄×Q₈×D₁₁	C₂²	1	4	yes	complemented
100	C₄×Q₈×D₁₁	C₂²	1	2	yes	complemented
101	#10623093	C₂²	1	8	yes	complemented
102	#10623090	C₂²	1	8	yes	complemented
103	#10623090	C₂²	1	8	yes	complemented
104	#10623085	C₂²	1	8	yes	complemented
105	#10623084	C₂²	1	4	yes	complemented
106	#10623084	C₂²	1	8	yes	complemented
107	#10623081	C₂²	1	8	yes	complemented
108	#10623079	C₂²	1	8	yes	complemented
109	#10623079	C₂²	1	8	yes	complemented
110	#10623076	C₂²	1	8	yes	complemented
111	#10623076	C₂²	1	8	yes	complemented
112	C₄×D₄×D₁₁	C₂²	1	4	yes	—
113	C₄×D₄×D₁₁	C₂²	1	8	yes	complemented
114	C₄×D₄×D₁₁	C₂²	1	8	yes	complemented
115	C₄×D₄×D₁₁	C₂²	1	8	yes	complemented
116	C₄×D₄×D₁₁	C₂²	1	2	yes	complemented
117	C₄×#4341	C₂²	1	2	yes	complemented
118	C₄×#4341	C₂²	1	4	yes	complemented
119	#10623066	C₂²	1	4	yes	complemented
120	#10623056	C₂²	1	2	yes	complemented
121	#10623053	C₂²	1	2	yes	complemented
122	#10623053	C₂²	1	1	yes	characteristic, complemented
123	#10623052	C₂²	1	2	yes	complemented
124	#10623052	C₂²	1	2	yes	complemented
125	D₁₁×#117	C₂²	1	2	yes	—
126	D₁₁×#117	C₂²	1	1	yes	characteristic
127	D₁₁×#117	C₂²	1	2	yes	complemented
128	#10623048	C₂²	1	2	yes	complemented
129	#10623021	C₂²	1	16	yes	complemented
130	#10623017	C₂²	1	8	yes	complemented
131	C₂×C₂²⋊C₄×D₁₁	C₂²	1	8	yes	—
132	#10623008	C₂²	1	4	yes	complemented
133	C₂×#66927	C₂²	1	1	yes	characteristic, complemented
134	C₄×#4339	C₂²	1	2	yes	complemented
135	C₄×#4339	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄²×D₁₁	C₂²	1	1	yes	characteristic
137	C₂×C₄²×D₁₁	C₂²	1	2	yes	complemented
138	#10623001	C₂²	1	1	yes	characteristic, complemented
139	C₂⁴×D₁₁	C₂³	1	4	yes	—
140	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
141	C₂×C₁₁×#41	C₂³	1	8	yes	complemented
142	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
144	C₂²×C₂²⋊D₁₁	C₂³	1	4	yes	—
145	C₂²×C₂²⋊D₁₁	C₂³	1	8	yes	—
146	#41×D₁₁	—	2	8	no	—
147	#41×D₁₁	—	4	32	no	—
148	C₂×#4343	C₂³	1	1	yes	characteristic
149	C₂×#4343	C₂³	1	8	yes	complemented
150	C₂×Q₈×D₁₁	C₂³	1	4	yes	—
151	C₂×Q₈×D₁₁	C₂³	1	1	yes	characteristic
152	C₂×#4341	C₂³	1	1	yes	characteristic
153	C₂×#4341	C₂³	1	2	yes	—
154	C₂×#4341	C₂³	1	8	yes	complemented
155	C₂×#4341	C₂³	1	16	yes	complemented
156	C₂×D₄×D₁₁	—	2	16	no	—
157	C₂×D₄×D₁₁	—	4	16	no	—
158	C₂×D₄×D₁₁	C₂³	1	4	yes	—
159	C₂×D₄×D₁₁	C₂³	1	4	yes	—
160	C₂×D₄×D₁₁	C₂³	1	8	yes	—
161	C₂×D₄×D₁₁	C₂³	1	1	yes	characteristic
162	C₂×D₄×D₁₁	C₂³	1	4	yes	—
163	C₂×D₄×D₁₁	C₂³	1	4	yes	—
164	C₂×D₄×D₁₁	C₂³	1	2	yes	—
165	C₂×D₄×D₁₁	C₂³	1	8	yes	—
166	C₂×D₄×D₁₁	C₂³	1	8	yes	—
167	C₂×D₄×D₁₁	C₂³	1	8	yes	—
168	C₂×D₄×D₁₁	C₂³	1	16	yes	—
169	C₂×#4339	C₂³	1	1	yes	characteristic
170	C₂×#4339	C₂³	1	2	yes	—
171	C₂×#4339	C₂³	1	8	yes	complemented
172	C₂×#4339	C₂³	1	16	yes	complemented
173	C₂²×D₄₄	C₂³	1	2	yes	—
174	C₂²×D₄₄	C₂³	1	4	yes	—
175	C₂²×C₄×D₁₁	C₂³	1	2	yes	—
176	C₂²×C₄×D₁₁	C₂³	1	2	yes	—
177	C₂²×C₄×D₁₁	C₂³	1	4	yes	—
178	C₂²×C₄×D₁₁	C₂³	1	16	yes	—
179	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
180	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	complemented
181	C₁₁×#127	C₂³	1	4	yes	—
182	C₁₁×#127	C₂³	1	2	yes	—
183	C₁₁×#127	C₂³	1	2	yes	—
184	C₁₁×#127	C₂³	1	4	yes	complemented
185	C₁₁×#125	C₂³	1	2	yes	complemented
186	C₁₁×#124	C₂³	1	8	yes	complemented
187	C₁₁×#124	C₂³	1	4	yes	complemented
188	C₁₁×#123	C₂³	1	16	yes	complemented
189	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
190	C₁₁×#121	C₂³	1	8	yes	complemented
191	C₁₁×#121	C₂³	1	8	yes	complemented
192	C₁₁×#121	C₂³	1	16	yes	complemented
193	C₁₁×#120	C₂³	1	8	yes	—
194	C₄×Q₈×C₁₁	C₂³	1	2	yes	complemented
195	C₄×Q₈×C₁₁	C₂³	1	4	yes	complemented
196	C₄×D₄×C₁₁	C₂³	1	4	yes	—
197	C₄×D₄×C₁₁	C₂³	1	2	yes	complemented
198	C₄×D₄×C₁₁	C₂³	1	8	yes	complemented
199	C₄×D₄×C₁₁	C₂³	1	8	yes	complemented
200	C₄×D₄×C₁₁	C₂³	1	8	yes	complemented
201	C₁₁×#117	C₂³	1	2	yes	—
202	C₁₁×#117	C₂³	1	1	yes	characteristic
203	C₁₁×#117	C₂³	1	2	yes	complemented
204	C₂×C₁₁×C₂²⋊C₄	C₂³	1	8	yes	—
205	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₁	C₂³	1	2	yes	complemented
207	#67006	C₂³	1	8	yes	—
208	C₂×C₂²⋊Dic₁₁	C₂³	1	8	yes	—
209	#67000	C₂³	1	8	yes	complemented
210	#67000	C₂³	1	4	yes	complemented
211	#66999	C₂³	1	4	yes	—
212	Q₈×Dic₁₁	C₂³	1	4	yes	complemented
213	Q₈×Dic₁₁	C₂³	1	2	yes	complemented
214	#66997	C₂³	1	4	yes	complemented
215	#66993	C₂³	1	8	yes	—
216	#66993	C₂³	1	4	yes	—
217	#66993	C₂³	1	8	yes	—
218	#66993	C₂³	1	8	yes	—
219	#66993	C₂³	1	4	yes	—
220	#66993	C₂³	1	8	yes	—
221	#66993	C₂³	1	8	yes	—
222	#66993	C₂³	1	4	yes	complemented
223	#66993	C₂³	1	4	yes	complemented
224	#66993	C₂³	1	16	yes	complemented
225	#66992	C₂³	1	16	yes	complemented
226	#66992	C₂³	1	16	yes	complemented
227	#66992	C₂³	1	16	yes	complemented
228	#66992	C₂³	1	16	yes	complemented
229	#66991	C₂³	1	8	yes	complemented
230	#66991	C₂³	1	8	yes	complemented
231	#66991	C₂³	1	16	yes	complemented
232	#66990	C₂³	1	16	yes	—
233	#66990	C₂³	1	8	yes	—
234	#66989	C₂³	1	4	yes	complemented
235	#66989	C₂³	1	8	yes	complemented
236	#66988	C₂³	1	16	yes	complemented
237	D₄×Dic₁₁	C₂³	1	4	yes	—
238	D₄×Dic₁₁	C₂³	1	8	yes	complemented
239	D₄×Dic₁₁	C₂³	1	8	yes	complemented
240	D₄×Dic₁₁	C₂³	1	8	yes	complemented
241	D₄×Dic₁₁	C₂³	1	2	yes	complemented
242	#66983	C₂³	1	8	yes	complemented
243	#66983	C₂³	1	8	yes	complemented
244	#66983	C₂³	1	16	yes	complemented
245	#66982	C₂³	1	16	yes	complemented
246	C₄×C₂²⋊D₁₁	C₂³	1	4	yes	—
247	C₄×C₂²⋊D₁₁	C₂³	1	4	yes	—
248	C₄×C₂²⋊D₁₁	C₂³	1	4	yes	complemented
249	C₄×C₂²⋊D₁₁	C₂³	1	16	yes	complemented
250	C₄×C₂²⋊D₁₁	C₂³	1	16	yes	complemented
251	C₄×C₂²⋊D₁₁	C₂³	1	16	yes	complemented
252	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	16	yes	—
253	#66979	C₂³	1	2	yes	—
254	#66979	C₂³	1	1	yes	characteristic
255	#66979	C₂³	1	2	yes	complemented
256	#66977	C₂³	1	4	yes	—
257	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₁₁	C₂³	1	2	yes	—
259	C₂×C₄×Dic₁₁	C₂³	1	2	yes	complemented
260	C₂×C₄×Dic₁₁	C₂³	1	4	yes	complemented
261	#66950	C₂³	1	4	yes	—
262	#66949	C₂³	1	8	yes	—
263	#66948	C₂³	1	8	yes	complemented
264	#66948	C₂³	1	8	yes	complemented
265	#66948	C₂³	1	16	yes	complemented
266	#66947	C₂³	1	16	yes	complemented
267	#66947	C₂³	1	16	yes	complemented
268	#66946	C₂³	1	4	yes	—
269	#66946	C₂³	1	8	yes	complemented
270	#66946	C₂³	1	8	yes	complemented
271	#66946	C₂³	1	8	yes	complemented
272	#66946	C₂³	1	2	yes	complemented
273	#66945	C₂³	1	4	yes	—
274	#66945	C₂³	1	2	yes	—
275	#66945	C₂³	1	4	yes	complemented
276	C₄⋊C₄×D₁₁	C₂³	1	4	yes	—
277	C₄⋊C₄×D₁₁	C₂³	1	4	yes	—
278	C₄⋊C₄×D₁₁	C₂³	1	2	yes	—
279	C₄⋊C₄×D₁₁	C₂³	1	4	yes	—
280	C₄⋊C₄×D₁₁	C₂³	1	8	yes	—
281	#66943	C₂³	1	4	yes	complemented
282	#66942	C₂³	1	8	yes	complemented
283	#66941	C₂³	1	4	yes	complemented
284	#66941	C₂³	1	4	yes	complemented
285	#66940	C₂³	1	4	yes	complemented
286	#66940	C₂³	1	2	yes	complemented
287	#66940	C₂³	1	4	yes	complemented
288	#66940	C₂³	1	8	yes	complemented
289	#66939	C₂³	1	16	yes	complemented
290	#66938	C₂³	1	16	yes	complemented
291	#66938	C₂³	1	16	yes	complemented
292	#66938	C₂³	1	16	yes	complemented
293	#66937	C₂³	1	16	yes	complemented
294	#66937	C₂³	1	16	yes	complemented
295	#66937	C₂³	1	16	yes	complemented
296	#66937	C₂³	1	16	yes	complemented
297	#66936	C₂³	1	16	yes	complemented
298	#66936	C₂³	1	16	yes	complemented
299	#66935	C₂³	1	8	yes	—
300	#66935	C₂³	1	16	yes	—
301	(C₂²⋊D₁₁)⋊C₄	C₂³	1	4	yes	—
302	(C₂²⋊D₁₁)⋊C₄	C₂³	1	4	yes	—
303	(C₂²⋊D₁₁)⋊C₄	C₂³	1	16	yes	complemented
304	(C₂²⋊D₁₁)⋊C₄	C₂³	1	16	yes	complemented
305	(C₂²⋊D₁₁)⋊C₄	C₂³	1	4	yes	complemented
306	(C₂²⋊D₁₁)⋊C₄	C₂³	1	16	yes	complemented
307	C₂²⋊C₄×D₁₁	C₂³	1	2	yes	—
308	C₂²⋊C₄×D₁₁	C₂³	1	4	yes	—
309	C₂²⋊C₄×D₁₁	C₂³	1	8	yes	—
310	C₂²⋊C₄×D₁₁	C₂³	1	8	yes	—
311	C₂²⋊C₄×D₁₁	C₂³	1	16	yes	—
312	C₂²⋊C₄×D₁₁	C₂³	1	16	yes	—
313	C₂²⋊C₄×D₁₁	C₂³	1	4	yes	—
314	C₂²⋊C₄×D₁₁	C₂³	1	16	yes	—
315	#66931	C₂³	1	8	yes	—
316	#66930	C₂³	1	2	yes	—
317	#66930	C₂³	1	4	yes	—
318	#66930	C₂³	1	4	yes	complemented
319	#66928	C₂³	1	4	yes	complemented
320	#66928	C₂³	1	8	yes	complemented
321	#66927	C₂³	1	2	yes	—
322	#66927	C₂³	1	2	yes	—
323	#66927	C₂³	1	4	yes	—
324	#66927	C₂³	1	4	yes	complemented
325	C₄×D₄₄	C₂³	1	4	yes	—
326	C₄×D₄₄	C₂³	1	2	yes	complemented
327	C₄×D₄₄	C₂³	1	8	yes	complemented
328	C₄×D₄₄	C₂³	1	8	yes	complemented
329	C₄×D₄₄	C₂³	1	8	yes	complemented
330	#66925	C₂³	1	4	yes	—
331	#66925	C₂³	1	2	yes	—
332	#66925	C₂³	1	2	yes	complemented
333	#66925	C₂³	1	2	yes	complemented
334	C₄²×D₁₁	C₂³	1	1	yes	characteristic
335	C₄²×D₁₁	C₂³	1	1	yes	characteristic
336	C₄²×D₁₁	C₂³	1	2	yes	—
337	C₄²×D₁₁	C₂³	1	1	yes	characteristic
338	C₄²×D₁₁	C₂³	1	1	yes	characteristic
339	C₄²×D₁₁	C₂³	1	2	yes	—
340	C₄²×D₁₁	C₂³	1	4	yes	—
341	C₄²×D₁₁	C₂³	1	2	yes	—
342	C₄²×D₁₁	C₂³	1	4	yes	—
343	C₄²×D₁₁	C₂³	1	2	yes	complemented
344	C₄²×D₁₁	C₂³	1	2	yes	complemented
345	C₄²×D₁₁	C₂³	1	4	yes	complemented
346	#66923	C₂³	1	2	yes	complemented
347	#66922	C₂³	1	2	yes	complemented
348	C₄×Dic₂₂	C₂³	1	2	yes	complemented
349	C₄×Dic₂₂	C₂³	1	4	yes	complemented
350	C₄×Dic₂₂	C₂³	1	8	yes	complemented
351	C₄×Dic₂₂	C₂³	1	4	yes	complemented
352	C₂×#3508	—	11	1	no	maximal, Sylow
353	C₂⁴×C₁₁	C₂⁴	1	4	yes	—
354	C₂³×D₁₁	—	2	16	no	—
355	C₂³×D₁₁	—	4	16	no	—
356	C₂³×D₁₁	C₂⁴	1	8	yes	—
357	C₂³×D₁₁	C₂⁴	1	2	yes	—
358	C₂³×D₁₁	C₂⁴	1	1	yes	characteristic
359	C₂³×D₁₁	C₂⁴	1	4	yes	—
360	C₂³×D₁₁	C₂⁴	1	8	yes	—
361	C₁₁×#41	—	2	4	no	—
362	C₁₁×#41	—	4	16	no	—
363	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
364	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
365	C₂×D₄×C₁₁	—	2	8	no	—
366	C₂×D₄×C₁₁	—	4	8	no	—
367	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
368	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
369	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
370	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
371	C₂×D₄×C₁₁	C₂⁴	1	8	yes	—
372	C₂×D₄×C₁₁	C₂⁴	1	8	yes	—
373	C₂×D₄×C₁₁	C₂⁴	1	16	yes	—
374	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
376	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
377	C₂²×C₄×C₁₁	C₂⁴	1	16	yes	—
378	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
379	C₂×C₂²⋊D₁₁	—	2	16	no	—
380	C₂×C₂²⋊D₁₁	—	4	16	no	—
381	C₂×C₂²⋊D₁₁	C₂⁴	1	2	yes	—
382	C₂×C₂²⋊D₁₁	C₂⁴	1	2	yes	—
383	C₂×C₂²⋊D₁₁	C₂⁴	1	8	yes	—
384	C₂×C₂²⋊D₁₁	C₂⁴	1	8	yes	—
385	C₂×C₂²⋊D₁₁	C₂⁴	1	2	yes	—
386	C₂×C₂²⋊D₁₁	C₂⁴	1	16	yes	—
387	C₂×C₂²⋊D₁₁	C₂⁴	1	16	yes	—
388	C₂×C₂²⋊D₁₁	C₂⁴	1	16	yes	—
389	C₂×C₂²⋊D₁₁	C₂⁴	1	16	yes	—
390	C₂²×Dic₁₁	C₂⁴	1	2	yes	—
391	C₂²×Dic₁₁	C₂⁴	1	2	yes	—
392	C₂²×Dic₁₁	C₂⁴	1	4	yes	—
393	C₂²×Dic₁₁	C₂⁴	1	16	yes	—
394	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
395	#4343	—	2	4	no	—
396	#4343	—	4	16	no	—
397	Q₈×D₁₁	—	2	4	no	—
398	Q₈×D₁₁	—	2	16	no	—
399	#4341	—	2	8	no	—
400	#4341	—	2	4	no	—
401	#4341	—	4	16	no	—
402	#4341	—	4	32	no	—
403	D₄×D₁₁	—	2	16	no	—
404	D₄×D₁₁	—	2	16	no	—
405	D₄×D₁₁	—	2	4	no	—
406	D₄×D₁₁	—	2	16	no	—
407	D₄×D₁₁	—	2	16	no	—
408	D₄×D₁₁	—	2	32	no	—
409	D₄×D₁₁	—	2	8	no	—
410	D₄×D₁₁	—	4	16	no	—
411	D₄×D₁₁	—	4	16	no	—
412	D₄×D₁₁	—	4	32	no	—
413	D₄×D₁₁	—	4	16	no	—
414	#4339	—	2	8	no	—
415	#4339	—	2	4	no	—
416	#4339	—	4	16	no	—
417	#4339	—	4	32	no	—
418	C₂×D₄₄	—	2	8	no	—
419	C₂×D₄₄	—	4	8	no	—
420	C₂×D₄₄	C₂⁴	1	2	yes	—
421	C₂×D₄₄	C₂⁴	1	4	yes	—
422	C₂×D₄₄	C₂⁴	1	4	yes	—
423	C₂×D₄₄	C₂⁴	1	1	yes	characteristic
424	C₂×D₄₄	C₂⁴	1	8	yes	—
425	C₂×D₄₄	C₂⁴	1	8	yes	—
426	C₂×D₄₄	C₂⁴	1	16	yes	—
427	C₂×C₄×D₁₁	—	2	8	no	—
428	C₂×C₄×D₁₁	—	2	8	no	—
429	C₂×C₄×D₁₁	—	2	16	no	—
430	C₂×C₄×D₁₁	—	4	32	no	—
431	C₂×C₄×D₁₁	#41	1	8	yes	complemented
432	C₂×C₄×D₁₁	C₂⁴	1	2	yes	—
433	C₂×C₄×D₁₁	C₂⁴	1	2	yes	—
434	C₂×C₄×D₁₁	C₂⁴	1	4	yes	—
435	C₂×C₄×D₁₁	C₂⁴	1	2	yes	—
436	C₂×C₄×D₁₁	C₂⁴	1	2	yes	—
437	C₂×C₄×D₁₁	C₂⁴	1	8	yes	—
438	C₂×C₄×D₁₁	C₂⁴	1	2	yes	—
439	C₂×C₄×D₁₁	C₂⁴	1	4	yes	—
440	C₂×C₄×D₁₁	C₂⁴	1	4	yes	—
441	C₂×C₄×D₁₁	C₂⁴	1	2	yes	—
442	C₂×C₄×D₁₁	C₂⁴	1	16	yes	—
443	C₂×C₄×D₁₁	C₂⁴	1	16	yes	—
444	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
445	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
446	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
447	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
448	C₂×C₄×D₁₁	C₂⁴	1	2	yes	—
449	C₂×Dic₂₂	C₂⁴	1	1	yes	characteristic
450	C₂×Dic₂₂	C₂⁴	1	2	yes	—
451	C₂×Dic₂₂	C₂⁴	1	4	yes	—
452	C₂×Dic₂₂	C₂⁴	1	8	yes	—
453	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
454	C₁₁×C₄⋊C₄	C₂⁴	1	8	yes	—
455	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
456	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
457	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
458	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
459	C₁₁×C₂²⋊C₄	C₂⁴	1	2	yes	—
460	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
461	C₁₁×C₂²⋊C₄	C₂⁴	1	16	yes	—
462	C₁₁×C₂²⋊C₄	C₂⁴	1	16	yes	—
463	C₄²×C₁₁	C₂⁴	1	2	yes	—
464	C₄²×C₁₁	C₂⁴	1	4	yes	—
465	C₄²×C₁₁	C₂⁴	1	4	yes	—
466	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
467	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
468	C₄²×C₁₁	C₂⁴	1	2	yes	—
469	C₂²⋊Dic₁₁	C₂⁴	1	4	yes	—
470	C₂²⋊Dic₁₁	C₂⁴	1	2	yes	—
471	C₂²⋊Dic₁₁	C₂⁴	1	4	yes	—
472	C₂²⋊Dic₁₁	C₂⁴	1	16	yes	—
473	C₂²⋊Dic₁₁	C₂⁴	1	16	yes	—
474	(C₂×D₁₁)⋊C₄	C₂⁴	1	4	yes	—
475	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
476	(C₂×D₁₁)⋊C₄	C₂⁴	1	4	yes	—
477	(C₂×D₁₁)⋊C₄	C₂⁴	1	4	yes	—
478	(C₂×D₁₁)⋊C₄	C₂⁴	1	16	yes	—
479	(C₂×D₁₁)⋊C₄	C₂⁴	1	16	yes	—
480	(C₂×D₁₁)⋊C₄	C₂⁴	1	16	yes	—
481	(C₂×D₁₁)⋊C₄	C₂⁴	1	16	yes	—
482	C₄⋊Dic₁₁	C₂⁴	1	4	yes	—
483	C₄⋊Dic₁₁	C₂⁴	1	4	yes	—
484	C₄⋊Dic₁₁	C₂⁴	1	2	yes	—
485	C₄⋊Dic₁₁	C₂⁴	1	8	yes	—
486	C₄⋊Dic₁₁	C₂⁴	1	4	yes	—
487	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
488	Dic₁₁⋊C₄	C₂⁴	1	4	yes	—
489	Dic₁₁⋊C₄	C₂⁴	1	4	yes	—
490	Dic₁₁⋊C₄	C₂⁴	1	4	yes	—
491	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
492	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
493	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
494	C₄×Dic₁₁	C₂⁴	1	2	yes	—
495	C₄×Dic₁₁	C₂⁴	1	4	yes	—
496	C₄×Dic₁₁	C₂⁴	1	2	yes	—
497	C₄×Dic₁₁	C₂⁴	1	4	yes	—
498	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
499	C₄×Dic₁₁	C₂⁴	1	2	yes	—
500	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
501	C₄×Dic₁₁	C₂⁴	1	2	yes	—
502	C₄×Dic₁₁	C₂⁴	1	2	yes	—
503	C₄×Dic₁₁	C₂⁴	1	2	yes	—
504	C₄×Dic₁₁	C₂⁴	1	4	yes	—
505	C₄×Dic₁₁	C₂⁴	1	4	yes	—
506	C₄×Dic₁₁	C₂⁴	1	4	yes	—
507	C₄×Dic₁₁	C₂⁴	1	8	yes	—
508	#3508	—	11	4	no	—
509	#3508	—	11	4	no	—
510	#3508	—	11	8	no	—
511	#3508	—	11	4	no	—
512	#3508	—	11	2	no	—
513	#3508	—	11	1	no	—
514	#3508	—	11	4	no	—
515	#3508	—	11	1	no	—
516	#3508	—	11	2	no	—
517	#3508	—	11	1	no	—
518	#3508	D₁₁	1	1	yes	characteristic, direct product factor
519	C₂×#559	—	11	4	no	—
520	C₂×#550	—	11	4	no	—
521	C₂×#546	—	11	8	no	—
522	C₂×#540	—	11	4	no	—
523	C₂×#535	—	11	2	no	—
524	C₂×#533	—	11	1	no	—
525	C₂×#532	—	11	4	no	—
526	C₂²×#127	—	11	1	no	—
527	C₂×#518	—	11	2	no	—
528	C₂×C₄×#41	—	11	1	no	—
529	C₂³×C₁₁	—	2	8	no	—
530	C₂³×C₁₁	—	4	8	no	—
531	C₂³×C₁₁	C₂⁵	1	8	yes	—
532	C₂³×C₁₁	C₂⁵	1	2	yes	—
533	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
534	C₂²×D₁₁	—	2	4	no	—
535	C₂²×D₁₁	—	2	8	no	—
536	C₂²×D₁₁	—	2	4	no	—
537	C₂²×D₁₁	—	2	16	no	—
538	C₂²×D₁₁	—	2	8	no	—
539	C₂²×D₁₁	—	2	32	no	—
540	C₂²×D₁₁	—	2	16	no	—
541	C₂²×D₁₁	—	4	8	no	—
542	C₂²×D₁₁	—	4	16	no	—
543	C₂²×D₁₁	—	8	32	no	—
544	C₂²×D₁₁	C₂×#41	1	4	yes	—
545	C₂²×D₁₁	C₂⁵	1	8	yes	—
546	C₂²×D₁₁	C₂⁵	1	2	yes	—
547	C₂²×D₁₁	C₂⁵	1	1	yes	characteristic
548	C₂²×D₁₁	C₂⁵	1	1	yes	characteristic
549	Q₈×C₁₁	—	2	2	no	—
550	Q₈×C₁₁	—	2	8	no	—
551	D₄×C₁₁	—	2	4	no	—
552	D₄×C₁₁	—	2	8	no	—
553	D₄×C₁₁	—	2	8	no	—
554	D₄×C₁₁	—	2	2	no	—
555	D₄×C₁₁	—	2	16	no	—
556	D₄×C₁₁	—	4	8	no	—
557	D₄×C₁₁	—	4	16	no	—
558	C₂×C₄×C₁₁	—	2	4	no	—
559	C₂×C₄×C₁₁	—	2	4	no	—
560	C₂×C₄×C₁₁	—	2	8	no	—
561	C₂×C₄×C₁₁	—	4	16	no	—
562	C₂×C₄×C₁₁	C₂×#41	1	4	yes	complemented
563	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
564	C₂×C₄×C₁₁	C₂⁵	1	4	yes	—
565	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
566	C₂×C₄×C₁₁	C₂⁵	1	8	yes	—
567	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
568	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
569	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
570	C₂²⋊D₁₁	—	2	4	no	—
571	C₂²⋊D₁₁	—	2	4	no	—
572	C₂²⋊D₁₁	—	2	4	no	—
573	C₂²⋊D₁₁	—	2	16	no	—
574	C₂²⋊D₁₁	—	2	16	no	—
575	C₂²⋊D₁₁	—	2	32	no	—
576	C₂²⋊D₁₁	—	4	16	no	—
577	C₂²⋊D₁₁	—	4	16	no	—
578	C₂²⋊D₁₁	—	4	16	no	—
579	C₂×Dic₁₁	—	2	4	no	—
580	C₂×Dic₁₁	—	2	8	no	—
581	C₂×Dic₁₁	—	2	4	no	—
582	C₂×Dic₁₁	—	4	16	no	—
583	C₂×Dic₁₁	C₂×#41	1	4	yes	complemented
584	C₂×Dic₁₁	C₂⁵	1	2	yes	—
585	C₂×Dic₁₁	C₂⁵	1	2	yes	—
586	C₂×Dic₁₁	C₂⁵	1	4	yes	—
587	C₂×Dic₁₁	C₂⁵	1	8	yes	—
588	C₂×Dic₁₁	C₂⁵	1	1	yes	characteristic
589	C₂×Dic₁₁	C₂⁵	1	1	yes	characteristic
590	C₂×Dic₁₁	C₂⁵	1	2	yes	—
591	D₄₄	—	2	4	no	—
592	D₄₄	—	2	8	no	—
593	D₄₄	—	2	8	no	—
594	D₄₄	—	2	2	no	—
595	D₄₄	—	2	16	no	—
596	D₄₄	—	4	8	no	—
597	D₄₄	—	4	16	no	—
598	C₄×D₁₁	—	2	4	no	—
599	C₄×D₁₁	—	2	8	no	—
600	C₄×D₁₁	—	2	4	no	—
601	C₄×D₁₁	—	2	16	no	—
602	C₄×D₁₁	—	2	4	no	—
603	C₄×D₁₁	—	2	4	no	—
604	C₄×D₁₁	—	2	8	no	—
605	C₄×D₁₁	—	2	4	no	—
606	C₄×D₁₁	—	2	8	no	—
607	C₄×D₁₁	—	2	4	no	—
608	C₄×D₁₁	—	4	16	no	—
609	C₄×D₁₁	—	4	16	no	—
610	C₄×D₁₁	C₂×#41	1	4	yes	—
611	C₄×D₁₁	C₂×#41	1	4	yes	—
612	C₄×D₁₁	C₂×#41	1	4	yes	complemented
613	C₄×D₁₁	C₂×#41	1	4	yes	complemented
614	C₄×D₁₁	H(5,𝔽₂)	1	8	yes	—
615	Dic₂₂	—	2	2	no	—
616	Dic₂₂	—	2	8	no	—
617	Dic₂₂	—	2	4	no	—
618	Dic₂₂	—	2	16	no	—
619	C₂²×#41	—	11	1	no	—
620	C₂²×#41	—	11	8	no	—
621	C₂³×D₄	—	11	2	no	—
622	C₂³×D₄	—	11	4	no	—
623	#559	—	11	4	no	—
624	#559	—	11	8	no	—
625	#559	—	11	8	no	—
626	#559	—	11	16	no	—
627	#559	—	11	4	no	—
628	#559	—	11	4	no	—
629	#559	—	11	8	no	—
630	#559	—	11	8	no	—
631	#559	C₂×D₁₁	1	4	yes	complemented
632	#550	—	11	8	no	—
633	#550	—	11	4	no	—
634	#550	—	11	8	no	—
635	#550	—	11	8	no	—
636	#550	—	11	16	no	—
637	#550	—	11	4	no	—
638	#550	—	11	8	no	—
639	#550	—	11	4	no	—
640	#550	C₂×D₁₁	1	4	yes	complemented
641	#546	—	11	8	no	—
642	#546	—	11	8	no	—
643	#546	—	11	8	no	—
644	#546	—	11	16	no	—
645	#546	—	11	8	no	—
646	#546	—	11	16	no	—
647	#546	—	11	8	no	—
648	#546	—	11	16	no	—
649	#546	—	11	8	no	—
650	#546	—	11	8	no	—
651	#546	—	11	16	no	—
652	#546	C₂×D₁₁	1	8	yes	complemented
653	#540	—	11	4	no	—
654	#540	—	11	4	no	—
655	#540	—	11	16	no	—
656	#540	—	11	16	no	—
657	#540	—	11	8	no	—
658	#540	—	11	8	no	—
659	#540	—	11	4	no	—
660	#540	C₂×D₁₁	1	4	yes	complemented
661	#535	—	11	2	no	—
662	#535	—	11	2	no	—
663	#535	—	11	4	no	—
664	#535	—	11	4	no	—
665	#535	—	11	8	no	—
666	#535	—	11	8	no	—
667	#535	—	11	2	no	—
668	#535	C₂×D₁₁	1	2	yes	complemented
669	#533	—	11	2	no	—
670	#533	—	11	2	no	—
671	#533	—	11	4	no	—
672	#533	—	11	4	no	—
673	#533	—	11	2	no	—
674	#533	—	11	1	no	—
675	#533	C₂×D₁₁	1	1	yes	characteristic, complemented
676	#532	—	11	8	no	—
677	#532	—	11	4	no	—
678	#532	—	11	4	no	—
679	#532	—	11	8	no	—
680	#532	—	11	8	no	—
681	#532	—	11	8	no	—
682	#532	—	11	8	no	—
683	#532	—	11	8	no	—
684	#532	—	11	4	no	—
685	#532	C₂×D₁₁	1	4	yes	complemented
686	C₂×C₄⋊Q₈	—	11	2	no	—
687	C₂×#127	—	11	4	no	—
688	C₂×#127	—	11	2	no	—
689	C₂×#127	—	11	2	no	—
690	C₂×#127	—	11	2	no	—
691	C₂×#127	—	11	4	no	—
692	C₂×#127	—	11	4	no	—
693	C₂×#127	—	11	2	no	—
694	C₂×#127	—	11	2	no	—
695	C₂×#127	—	11	4	no	—
696	C₂×#127	—	11	1	no	—
697	C₂×#127	C₂×D₁₁	1	1	yes	characteristic, complemented
698	C₂×#125	—	11	2	no	—
699	C₂×#124	—	11	8	no	—
700	C₂×#124	—	11	4	no	—
701	C₂×#123	—	11	16	no	—
702	C₂×C₂²⋊Q₈	—	11	4	no	—
703	C₂×#121	—	11	8	no	—
704	C₂×#121	—	11	8	no	—
705	C₂×#121	—	11	16	no	—
706	C₂×#120	—	11	8	no	—
707	#518	—	11	2	no	—
708	#518	—	11	8	no	—
709	#518	—	11	8	no	—
710	#518	—	11	2	no	—
711	#518	—	11	2	no	—
712	#518	—	11	8	no	—
713	#518	C₂×D₁₁	1	2	yes	complemented
714	C₄×#41	—	11	1	no	—
715	C₄×#41	—	11	2	no	—
716	C₄×#41	—	11	4	no	—
717	C₄×#41	—	11	2	no	—
718	C₄×#41	—	11	1	no	—
719	C₄×#41	—	11	2	no	—
720	C₄×#41	—	11	1	no	—
721	C₄×#41	—	11	2	no	—
722	C₄×#41	C₂×D₁₁	1	1	yes	characteristic, complemented
723	C₂×C₄×Q₈	—	11	2	no	—
724	C₂×C₄×Q₈	—	11	4	no	—
725	C₂×C₄×D₄	—	11	4	no	—
726	C₂×C₄×D₄	—	11	2	no	—
727	C₂×C₄×D₄	—	11	8	no	—
728	C₂×C₄×D₄	—	11	8	no	—
729	C₂×C₄×D₄	—	11	8	no	—
730	C₂×#117	—	11	1	no	—
731	C₂×#117	—	11	2	no	—
732	C₂×#117	—	11	2	no	—
733	C₂²×C₂²⋊C₄	—	11	8	no	—
734	C₂²×C₄²	—	11	1	no	—
735	C₂²×C₄²	—	11	2	no	—
736	C₂²×C₁₁	—	2	2	no	—
737	C₂²×C₁₁	—	2	2	no	—
738	C₂²×C₁₁	—	2	8	no	—
739	C₂²×C₁₁	—	2	4	no	—
740	C₂²×C₁₁	—	2	16	no	—
741	C₂²×C₁₁	—	8	8	no	—
742	C₂²×C₁₁	C₂²×#41	1	2	yes	—
743	C₂²×C₁₁	C₂⁶	1	1	yes	characteristic
744	C₂×D₁₁	—	2	2	no	—
745	C₂×D₁₁	—	2	8	no	—
746	C₂×D₁₁	—	2	8	no	—
747	C₂×D₁₁	—	2	2	no	—
748	C₂×D₁₁	—	2	16	no	—
749	C₂×D₁₁	—	2	4	no	—
750	C₂×D₁₁	—	4	8	no	—
751	C₂×D₁₁	—	4	32	no	—
752	C₂×D₁₁	—	8	16	no	—
753	C₂×D₁₁	—	8	8	no	—
754	C₂×D₁₁	C₂²×#41	1	2	yes	—
755	C₂×D₁₁	C₂²×#41	1	2	yes	—
756	C₂×D₁₁	C₂×H(5,𝔽₂)	1	4	yes	—
757	C₄×C₁₁	—	2	2	no	—
758	C₄×C₁₁	—	2	4	no	—
759	C₄×C₁₁	—	2	2	no	—
760	C₄×C₁₁	—	2	8	no	—
761	C₄×C₁₁	C₂²×#41	1	2	yes	—
762	C₄×C₁₁	C₂²×#41	1	2	yes	—
763	C₄×C₁₁	C₂×H(5,𝔽₂)	1	4	yes	—
764	Dic₁₁	—	2	2	no	—
765	Dic₁₁	—	2	8	no	—
766	Dic₁₁	—	2	4	no	—
767	Dic₁₁	—	2	2	no	—
768	Dic₁₁	C₂²×#41	1	2	yes	—
769	Dic₁₁	C₂²×#41	1	2	yes	—
770	Dic₁₁	C₂×H(5,𝔽₂)	1	4	yes	—
771	C₂⁵	—	11	4	no	—
772	C₂×#41	—	11	1	no	—
773	C₂×#41	—	11	8	no	—
774	C₂×#41	—	11	2	no	—
775	C₂×#41	—	11	1	no	—
776	C₂×#41	—	11	16	no	—
777	C₂×#41	—	11	8	no	—
778	C₂×#41	—	11	2	no	—
779	C₂×#41	—	11	1	no	—
780	C₂×#41	—	11	16	no	—
781	C₂×#41	—	11	8	no	—
782	C₂×#41	—	22	8	no	—
783	C₂×#41	—	44	32	no	—
784	C₂×#41	C₂²×D₁₁	1	1	yes	characteristic
785	C₂×#41	C₂²×D₁₁	1	8	yes	complemented
786	C₂²×Q₈	—	11	1	no	—
787	C₂²×Q₈	—	11	4	no	—
788	C₂²×D₄	—	11	4	no	—
789	C₂²×D₄	—	11	8	no	—
790	C₂²×D₄	—	11	2	no	—
791	C₂²×D₄	—	11	4	no	—
792	C₂²×D₄	—	11	4	no	—
793	C₂²×D₄	—	11	1	no	—
794	C₂²×D₄	—	11	8	no	—
795	C₂²×D₄	—	11	4	no	—
796	C₂²×D₄	—	11	4	no	—
797	C₂²×D₄	—	11	16	no	—
798	C₂²×D₄	—	11	8	no	—
799	C₂²×D₄	—	11	8	no	—
800	C₂²×D₄	—	11	8	no	—
801	C₂²×D₄	—	11	2	no	—
802	C₂²×D₄	—	11	4	no	—
803	C₂²×D₄	—	22	16	no	—
804	C₂²×D₄	—	44	16	no	—
805	C₂²×D₄	C₂²×D₁₁	1	2	yes	—
806	C₂²×D₄	C₂²×D₁₁	1	4	yes	—
807	C₂³×C₄	—	11	1	no	—
808	C₂³×C₄	—	11	2	no	—
809	C₂³×C₄	—	11	4	no	—
810	C₂³×C₄	—	11	2	no	—
811	C₂³×C₄	—	11	16	no	—
812	C₄⋊Q₈	—	11	4	no	—
813	C₄⋊Q₈	—	11	4	no	—
814	C₄⋊Q₈	—	11	4	no	—
815	C₄⋊Q₈	—	11	2	no	—
816	C₄⋊Q₈	C₂²×D₁₁	1	2	yes	complemented
817	#127	—	11	8	no	—
818	#127	—	11	4	no	—
819	#127	—	11	8	no	—
820	#127	—	11	4	no	—
821	#127	—	11	8	no	—
822	#127	—	11	8	no	—
823	#127	—	11	8	no	—
824	#127	—	11	16	no	—
825	#127	—	11	4	no	—
826	#127	—	11	4	no	—
827	#127	—	11	2	no	—
828	#127	—	11	2	no	—
829	#127	—	11	4	no	—
830	#127	—	11	4	no	—
831	#127	C₂²×D₁₁	1	2	yes	—
832	#127	C₂²×D₁₁	1	2	yes	—
833	#127	C₂²×D₁₁	1	4	yes	—
834	#127	C₂²×D₁₁	1	4	yes	complemented
835	#125	—	11	8	no	—
836	#125	—	11	4	no	—
837	#125	—	11	2	no	—
838	#125	C₂²×D₁₁	1	2	yes	complemented
839	#124	—	11	8	no	—
840	#124	—	11	4	no	—
841	#124	—	11	8	no	—
842	#124	—	11	4	no	—
843	#124	—	11	16	no	—
844	#124	—	11	16	no	—
845	#124	—	11	16	no	—
846	#124	—	11	8	no	—
847	#124	—	11	4	no	—
848	#124	C₂²×D₁₁	1	8	yes	complemented
849	#124	C₂²×D₁₁	1	4	yes	complemented
850	#123	—	11	16	no	—
851	#123	—	11	16	no	—
852	#123	—	11	16	no	—
853	#123	—	11	16	no	—
854	#123	—	11	16	no	—
855	#123	—	11	16	no	—
856	#123	—	11	16	no	—
857	#123	C₂²×D₁₁	1	16	yes	complemented
858	C₂²⋊Q₈	—	11	4	no	—
859	C₂²⋊Q₈	—	11	4	no	—
860	C₂²⋊Q₈	—	11	8	no	—
861	C₂²⋊Q₈	—	11	4	no	—
862	C₂²⋊Q₈	—	11	8	no	—
863	C₂²⋊Q₈	C₂²×D₁₁	1	4	yes	—
864	#121	—	11	8	no	—
865	#121	—	11	16	no	—
866	#121	—	11	8	no	—
867	#121	—	11	16	no	—
868	#121	—	11	16	no	—
869	#121	—	11	16	no	—
870	#121	—	11	16	no	—
871	#121	—	11	8	no	—
872	#121	—	11	8	no	—
873	#121	—	11	16	no	—
874	#121	—	11	8	no	—
875	#121	—	11	8	no	—
876	#121	—	11	16	no	—
877	#121	—	11	16	no	—
878	#121	—	11	16	no	—
879	#121	—	11	16	no	—
880	#121	—	11	16	no	—
881	#121	C₂²×D₁₁	1	8	yes	complemented
882	#121	C₂²×D₁₁	1	8	yes	complemented
883	#121	C₂²×D₁₁	1	16	yes	complemented
884	#120	—	11	8	no	—
885	#120	—	11	8	no	—
886	#120	—	11	16	no	—
887	#120	—	11	16	no	—
888	#120	—	11	8	no	—
889	#120	C₂²×D₁₁	1	8	yes	—
890	C₄×Q₈	—	11	2	no	—
891	C₄×Q₈	—	11	4	no	—
892	C₄×Q₈	—	11	4	no	—
893	C₄×Q₈	—	11	2	no	—
894	C₄×Q₈	—	11	8	no	—
895	C₄×Q₈	—	11	4	no	—
896	C₄×Q₈	—	11	2	no	—
897	C₄×Q₈	—	11	4	no	—
898	C₄×Q₈	—	11	8	no	—
899	C₄×Q₈	—	11	4	no	—
900	C₄×Q₈	C₂²×D₁₁	1	2	yes	complemented
901	C₄×Q₈	C₂²×D₁₁	1	4	yes	complemented
902	C₄×D₄	—	11	4	no	—
903	C₄×D₄	—	11	2	no	—
904	C₄×D₄	—	11	8	no	—
905	C₄×D₄	—	11	8	no	—
906	C₄×D₄	—	11	8	no	—
907	C₄×D₄	—	11	4	no	—
908	C₄×D₄	—	11	4	no	—
909	C₄×D₄	—	11	4	no	—
910	C₄×D₄	—	11	16	no	—
911	C₄×D₄	—	11	16	no	—
912	C₄×D₄	—	11	16	no	—
913	C₄×D₄	—	11	4	no	—
914	C₄×D₄	—	11	2	no	—
915	C₄×D₄	—	11	8	no	—
916	C₄×D₄	—	11	8	no	—
917	C₄×D₄	—	11	8	no	—
918	C₄×D₄	—	11	4	no	—
919	C₄×D₄	—	11	4	no	—
920	C₄×D₄	—	11	4	no	—
921	C₄×D₄	—	11	16	no	—
922	C₄×D₄	—	11	16	no	—
923	C₄×D₄	—	11	16	no	—
924	C₄×D₄	—	11	4	no	—
925	C₄×D₄	—	11	2	no	—
926	C₄×D₄	—	11	8	no	—
927	C₄×D₄	—	11	8	no	—
928	C₄×D₄	—	11	8	no	—
929	C₄×D₄	C₂²×D₁₁	1	4	yes	—
930	C₄×D₄	C₂²×D₁₁	1	2	yes	complemented
931	C₄×D₄	C₂²×D₁₁	1	8	yes	complemented
932	C₄×D₄	C₂²×D₁₁	1	8	yes	complemented
933	C₄×D₄	C₂²×D₁₁	1	8	yes	complemented
934	#117	—	11	1	no	—
935	#117	—	11	2	no	—
936	#117	—	11	2	no	—
937	#117	—	11	2	no	—
938	#117	—	11	4	no	—
939	#117	—	11	4	no	—
940	#117	—	11	2	no	—
941	#117	—	11	4	no	—
942	#117	—	11	4	no	—
943	#117	—	11	2	no	—
944	#117	—	11	2	no	—
945	#117	—	11	2	no	—
946	#117	—	11	4	no	—
947	#117	C₂²×D₁₁	1	1	yes	characteristic
948	#117	C₂²×D₁₁	1	2	yes	—
949	#117	C₂²×D₁₁	1	2	yes	complemented
950	C₂×C₄⋊C₄	—	11	2	no	—
951	C₂×C₄⋊C₄	—	11	4	no	—
952	C₂×C₄⋊C₄	—	11	4	no	—
953	C₂×C₄⋊C₄	—	11	4	no	—
954	C₂×C₄⋊C₄	—	11	8	no	—
955	C₂×C₂²⋊C₄	—	11	8	no	—
956	C₂×C₂²⋊C₄	—	11	16	no	—
957	C₂×C₂²⋊C₄	—	11	2	no	—
958	C₂×C₂²⋊C₄	—	11	4	no	—
959	C₂×C₂²⋊C₄	—	11	16	no	—
960	C₂×C₂²⋊C₄	—	11	8	no	—
961	C₂×C₂²⋊C₄	—	11	8	no	—
962	C₂×C₂²⋊C₄	—	11	16	no	—
963	C₂×C₂²⋊C₄	—	11	4	no	—
964	C₂×C₂²⋊C₄	—	11	16	no	—
965	C₂×C₂²⋊C₄	C₂²×D₁₁	1	8	yes	—
966	C₂×C₄²	—	11	2	no	—
967	C₂×C₄²	—	11	1	no	—
968	C₂×C₄²	—	11	4	no	—
969	C₂×C₄²	—	11	2	no	—
970	C₂×C₄²	—	11	2	no	—
971	C₂×C₄²	—	11	1	no	—
972	C₂×C₄²	—	11	4	no	—
973	C₂×C₄²	—	11	4	no	—
974	C₂×C₄²	—	11	2	no	—
975	C₂×C₄²	—	11	2	no	—
976	C₂×C₄²	—	11	1	no	—
977	C₂×C₄²	—	11	1	no	—
978	C₂×C₄²	—	11	4	no	—
979	C₂×C₄²	—	11	2	no	—
980	C₂×C₄²	—	11	2	no	—
981	C₂×C₄²	—	11	1	no	—
982	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
983	C₂×C₄²	C₂²×D₁₁	1	2	yes	complemented
984	C₂×C₁₁	—	2	2	no	—
985	C₂×C₁₁	—	4	8	no	—
986	C₂×C₁₁	—	4	2	no	—
987	C₂×C₁₁	C₂³×#41	1	1	yes	characteristic
988	C₂×C₁₁	C₂²×H(5,𝔽₂)	1	2	yes	—
989	D₁₁	—	2	2	no	—
990	D₁₁	—	4	2	no	—
991	D₁₁	—	4	8	no	—
992	D₁₁	#3508	1	4	yes	direct product factor
993	C₂⁴	—	11	1	no	—
994	C₂⁴	—	11	8	no	—
995	C₂⁴	—	11	2	no	—
996	C₂⁴	—	11	8	no	—
997	C₂⁴	—	11	4	no	—
998	C₂⁴	—	22	16	no	—
999	C₂⁴	—	44	16	no	—
1000	C₂⁴	C₂³×D₁₁	1	4	yes	—
1001	#41	—	2	4	no	—
1002	#41	—	4	16	no	—
1003	#41	—	22	8	no	—
1004	#41	—	22	8	no	—
1005	#41	—	22	4	no	—
1006	#41	—	22	4	no	—
1007	#41	—	22	4	no	—
1008	#41	—	44	16	no	—
1009	#41	—	44	32	no	—
1010	#41	—	44	16	no	—
1011	#41	—	44	32	no	—
1012	#41	—	44	16	no	—
1013	C₂×Q₈	—	11	2	no	—
1014	C₂×Q₈	—	11	1	no	—
1015	C₂×Q₈	—	11	8	no	—
1016	C₂×Q₈	—	11	4	no	—
1017	C₂×Q₈	—	22	4	no	—
1018	C₂×Q₈	—	22	16	no	—
1019	C₂×Q₈	C₂³×D₁₁	1	1	yes	characteristic
1020	C₂×Q₈	C₂³×D₁₁	1	4	yes	—
1021	C₂×D₄	—	2	8	no	—
1022	C₂×D₄	—	4	8	no	—
1023	C₂×D₄	—	11	2	no	—
1024	C₂×D₄	—	11	2	no	—
1025	C₂×D₄	—	11	8	no	—
1026	C₂×D₄	—	11	8	no	—
1027	C₂×D₄	—	11	2	no	—
1028	C₂×D₄	—	11	16	no	—
1029	C₂×D₄	—	11	16	no	—
1030	C₂×D₄	—	11	16	no	—
1031	C₂×D₄	—	11	16	no	—
1032	C₂×D₄	—	11	2	no	—
1033	C₂×D₄	—	11	4	no	—
1034	C₂×D₄	—	11	4	no	—
1035	C₂×D₄	—	11	1	no	—
1036	C₂×D₄	—	11	8	no	—
1037	C₂×D₄	—	11	16	no	—
1038	C₂×D₄	—	11	8	no	—
1039	C₂×D₄	—	22	16	no	—
1040	C₂×D₄	—	22	16	no	—
1041	C₂×D₄	—	22	16	no	—
1042	C₂×D₄	—	22	16	no	—
1043	C₂×D₄	—	22	32	no	—
1044	C₂×D₄	—	22	4	no	—
1045	C₂×D₄	—	22	16	no	—
1046	C₂×D₄	—	22	8	no	—
1047	C₂×D₄	—	22	8	no	—
1048	C₂×D₄	—	44	8	no	—
1049	C₂×D₄	—	44	16	no	—
1050	C₂×D₄	—	44	16	no	—
1051	C₂×D₄	—	44	16	no	—
1052	C₂×D₄	—	44	32	no	—
1053	C₂×D₄	—	44	16	no	—
1054	C₂×D₄	C₂³×D₁₁	1	2	yes	—
1055	C₂×D₄	C₂³×D₁₁	1	4	yes	—
1056	C₂×D₄	C₂³×D₁₁	1	4	yes	—
1057	C₂×D₄	C₂³×D₁₁	1	1	yes	characteristic
1058	C₂×D₄	C₂³×D₁₁	1	8	yes	—
1059	C₂×D₄	C₂³×D₁₁	1	16	yes	—
1060	C₂×D₄	C₂³×D₁₁	1	8	yes	—
1061	C₂²×C₄	—	11	1	no	—
1062	C₂²×C₄	—	11	8	no	—
1063	C₂²×C₄	—	11	1	no	—
1064	C₂²×C₄	—	11	1	no	—
1065	C₂²×C₄	—	11	2	no	—
1066	C₂²×C₄	—	11	1	no	—
1067	C₂²×C₄	—	11	1	no	—
1068	C₂²×C₄	—	11	2	no	—
1069	C₂²×C₄	—	11	4	no	—
1070	C₂²×C₄	—	11	2	no	—
1071	C₂²×C₄	—	11	16	no	—
1072	C₂²×C₄	—	11	2	no	—
1073	C₂²×C₄	—	11	4	no	—
1074	C₂²×C₄	—	11	2	no	—
1075	C₂²×C₄	—	11	2	no	—
1076	C₂²×C₄	—	11	2	no	—
1077	C₂²×C₄	—	11	4	no	—
1078	C₂²×C₄	—	11	4	no	—
1079	C₂²×C₄	—	11	2	no	—
1080	C₂²×C₄	—	11	2	no	—
1081	C₂²×C₄	—	11	8	no	—
1082	C₂²×C₄	—	11	16	no	—
1083	C₂²×C₄	—	11	16	no	—
1084	C₂²×C₄	—	22	8	no	—
1085	C₂²×C₄	—	22	8	no	—
1086	C₂²×C₄	—	22	16	no	—
1087	C₂²×C₄	—	44	32	no	—
1088	C₂²×C₄	C₂³×D₁₁	1	2	yes	—
1089	C₂²×C₄	C₂³×D₁₁	1	2	yes	—
1090	C₂²×C₄	C₂³×D₁₁	1	4	yes	—
1091	C₂²×C₄	C₂³×D₁₁	1	16	yes	—
1092	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1093	C₄⋊C₄	—	11	4	no	—
1094	C₄⋊C₄	—	11	2	no	—
1095	C₄⋊C₄	—	11	8	no	—
1096	C₄⋊C₄	—	11	4	no	—
1097	C₄⋊C₄	—	11	4	no	—
1098	C₄⋊C₄	—	11	4	no	—
1099	C₄⋊C₄	—	11	4	no	—
1100	C₄⋊C₄	—	11	8	no	—
1101	C₄⋊C₄	—	11	4	no	—
1102	C₄⋊C₄	—	11	8	no	—
1103	C₄⋊C₄	—	11	8	no	—
1104	C₄⋊C₄	—	11	8	no	—
1105	C₄⋊C₄	C₂³×D₁₁	1	2	yes	—
1106	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1107	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1108	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1109	C₄⋊C₄	C₂³×D₁₁	1	8	yes	—
1110	C₂²⋊C₄	—	11	2	no	—
1111	C₂²⋊C₄	—	11	4	no	—
1112	C₂²⋊C₄	—	11	16	no	—
1113	C₂²⋊C₄	—	11	4	no	—
1114	C₂²⋊C₄	—	11	16	no	—
1115	C₂²⋊C₄	—	11	4	no	—
1116	C₂²⋊C₄	—	11	8	no	—
1117	C₂²⋊C₄	—	11	16	no	—
1118	C₂²⋊C₄	—	11	16	no	—
1119	C₂²⋊C₄	—	11	4	no	—
1120	C₂²⋊C₄	—	11	4	no	—
1121	C₂²⋊C₄	—	11	16	no	—
1122	C₂²⋊C₄	—	11	16	no	—
1123	C₂²⋊C₄	C₂³×D₁₁	1	2	yes	—
1124	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1125	C₂²⋊C₄	C₂³×D₁₁	1	16	yes	—
1126	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1127	C₂²⋊C₄	C₂³×D₁₁	1	16	yes	—
1128	C₄²	—	11	2	no	—
1129	C₄²	—	11	1	no	—
1130	C₄²	—	11	4	no	—
1131	C₄²	—	11	2	no	—
1132	C₄²	—	11	2	no	—
1133	C₄²	—	11	1	no	—
1134	C₄²	—	11	4	no	—
1135	C₄²	—	11	4	no	—
1136	C₄²	—	11	4	no	—
1137	C₄²	—	11	2	no	—
1138	C₄²	—	11	2	no	—
1139	C₄²	—	11	2	no	—
1140	C₄²	—	11	8	no	—
1141	C₄²	—	11	4	no	—
1142	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1143	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1144	C₄²	C₂³×D₁₁	1	2	yes	—
1145	C₄²	C₂³×D₁₁	1	2	yes	—
1146	C₄²	C₂³×D₁₁	1	4	yes	—
1147	C₄²	C₂³×D₁₁	1	4	yes	—
1148	C₁₁	C₂×#3508	1	1	yes	characteristic, complemented, Sylow
1149	C₂³	—	2	8	no	—
1150	C₂³	—	4	8	no	—
1151	C₂³	—	11	1	no	—
1152	C₂³	—	11	4	no	—
1153	C₂³	—	11	1	no	—
1154	C₂³	—	11	8	no	—
1155	C₂³	—	11	2	no	—
1156	C₂³	—	22	4	no	—
1157	C₂³	—	22	4	no	—
1158	C₂³	—	22	8	no	—
1159	C₂³	—	22	32	no	—
1160	C₂³	—	22	16	no	—
1161	C₂³	—	22	16	no	—
1162	C₂³	—	22	8	no	—
1163	C₂³	—	44	8	no	—
1164	C₂³	—	44	16	no	—
1165	C₂³	—	88	32	no	—
1166	C₂³	C₂⁴×D₁₁	1	8	yes	—
1167	C₂³	C₂⁴×D₁₁	1	2	yes	—
1168	C₂³	C₂⁴×D₁₁	1	1	yes	characteristic
1169	Q₈	—	2	2	no	—
1170	Q₈	—	2	8	no	—
1171	Q₈	—	22	4	no	—
1172	Q₈	—	22	16	no	—
1173	Q₈	—	22	2	no	—
1174	Q₈	—	22	8	no	—
1175	D₄	—	2	4	no	—
1176	D₄	—	2	8	no	—
1177	D₄	—	2	8	no	—
1178	D₄	—	2	2	no	—
1179	D₄	—	2	16	no	—
1180	D₄	—	4	8	no	—
1181	D₄	—	4	16	no	—
1182	D₄	—	22	4	no	—
1183	D₄	—	22	16	no	—
1184	D₄	—	22	16	no	—
1185	D₄	—	22	32	no	—
1186	D₄	—	22	4	no	—
1187	D₄	—	22	4	no	—
1188	D₄	—	22	4	no	—
1189	D₄	—	22	8	no	—
1190	D₄	—	22	8	no	—
1191	D₄	—	22	2	no	—
1192	D₄	—	22	16	no	—
1193	D₄	—	44	8	no	—
1194	D₄	—	44	16	no	—
1195	D₄	—	44	16	no	—
1196	D₄	—	44	16	no	—
1197	D₄	—	44	16	no	—
1198	C₂×C₄	—	2	4	no	—
1199	C₂×C₄	—	2	4	no	—
1200	C₂×C₄	—	2	8	no	—
1201	C₂×C₄	—	4	16	no	—
1202	C₂×C₄	—	11	4	no	—
1203	C₂×C₄	—	11	1	no	—
1204	C₂×C₄	—	11	1	no	—
1205	C₂×C₄	—	11	2	no	—
1206	C₂×C₄	—	11	4	no	—
1207	C₂×C₄	—	11	4	no	—
1208	C₂×C₄	—	11	4	no	—
1209	C₂×C₄	—	11	4	no	—
1210	C₂×C₄	—	11	8	no	—
1211	C₂×C₄	—	11	2	no	—
1212	C₂×C₄	—	11	4	no	—
1213	C₂×C₄	—	11	2	no	—
1214	C₂×C₄	—	11	8	no	—
1215	C₂×C₄	—	22	4	no	—
1216	C₂×C₄	—	22	4	no	—
1217	C₂×C₄	—	22	8	no	—
1218	C₂×C₄	—	22	8	no	—
1219	C₂×C₄	—	22	4	no	—
1220	C₂×C₄	—	22	4	no	—
1221	C₂×C₄	—	22	16	no	—
1222	C₂×C₄	—	22	4	no	—
1223	C₂×C₄	—	22	4	no	—
1224	C₂×C₄	—	22	8	no	—
1225	C₂×C₄	—	22	4	no	—
1226	C₂×C₄	—	22	4	no	—
1227	C₂×C₄	—	22	8	no	—
1228	C₂×C₄	—	44	16	no	—
1229	C₂×C₄	—	44	16	no	—
1230	C₂×C₄	—	44	16	no	—
1231	C₂×C₄	#41×D₁₁	1	4	yes	complemented
1232	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1233	C₂×C₄	C₂⁴×D₁₁	1	4	yes	—
1234	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1235	C₂×C₄	C₂⁴×D₁₁	1	8	yes	—
1236	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1237	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1238	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	8	no	—
1242	C₂²	—	2	4	no	—
1243	C₂²	—	2	16	no	—
1244	C₂²	—	8	8	no	—
1245	C₂²	—	11	2	no	—
1246	C₂²	—	11	4	no	—
1247	C₂²	—	11	2	no	—
1248	C₂²	—	22	8	no	—
1249	C₂²	—	22	2	no	—
1250	C₂²	—	22	2	no	—
1251	C₂²	—	22	8	no	—
1252	C₂²	—	22	4	no	—
1253	C₂²	—	22	16	no	—
1254	C₂²	—	44	32	no	—
1255	C₂²	—	44	8	no	—
1256	C₂²	—	88	8	no	—
1257	C₂²	—	88	16	no	—
1258	C₂²	C₂×#41×D₁₁	1	2	yes	—
1259	C₂²	C₂⁵×D₁₁	1	1	yes	characteristic
1260	C₄	—	2	2	no	—
1261	C₄	—	2	4	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	8	no	—
1264	C₄	—	11	2	no	—
1265	C₄	—	11	2	no	—
1266	C₄	—	11	4	no	—
1267	C₄	—	22	2	no	—
1268	C₄	—	22	4	no	—
1269	C₄	—	22	2	no	—
1270	C₄	—	22	8	no	—
1271	C₄	C₂×#41×D₁₁	1	2	yes	—
1272	C₄	C₂×#41×D₁₁	1	2	yes	—
1273	C₄	D₁₁×H(5,𝔽₂)	1	4	yes	—
1274	C₂	—	2	2	no	—
1275	C₂	—	4	8	no	—
1276	C₂	—	4	2	no	—
1277	C₂	—	11	4	no	—
1278	C₂	—	22	2	no	—
1279	C₂	—	44	8	no	—
1280	C₂	—	44	2	no	—
1281	C₂	C₂²×#41×D₁₁	1	1	yes	characteristic
1282	C₂	C₂×D₁₁×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₁
commutator, socle, cosocle	C₂²×C₁₁	C₂⁶
Fitting	C₁₁×#3508	C₂
hypercenter	#3508	D₁₁
hypocenter	C₁₁	C₂×#3508
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ #3508

Complements

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

N	H ≅ G/N	type
1. #13082493	C₂	semidirect
2. #13082492	C₂	semidirect
3. #13082491	C₂	semidirect
4. #13082490	C₂	semidirect
5. #13082489	C₂	semidirect
6. #13082488	C₂	semidirect
7. #13082487	C₂	semidirect
8. #13082486	C₂	semidirect
9. #13082485	C₂	semidirect
10. #13082484	C₂	semidirect
11. D₁₁×#559	C₂	semidirect
12. D₁₁×#550	C₂	semidirect
13. D₁₁×#546	C₂	semidirect
14. D₁₁×#540	C₂	semidirect
15. D₁₁×#535	C₂	semidirect
16. D₁₁×#533	C₂	semidirect
17. D₁₁×#532	C₂	semidirect
18. C₂×D₁₁×#127	C₂	semidirect
19. D₁₁×#518	C₂	semidirect
20. C₄×#41×D₁₁	C₂	semidirect
21. C₁₁×#3508	C₂	semidirect
23. C₂×#41×D₁₁	C₂²	semidirect
26. C₁₁×#559	C₂²	semidirect
27. C₁₁×#550	C₂²	semidirect
28. C₁₁×#546	C₂²	semidirect
29. C₁₁×#540	C₂²	semidirect
30. C₁₁×#535	C₂²	semidirect
31. C₁₁×#533	C₂²	semidirect
32. C₁₁×#532	C₂²	semidirect
33. C₂×C₁₁×#127	C₂²	semidirect
34. C₁₁×#518	C₂²	semidirect
35. C₄×C₁₁×#41	C₂²	semidirect
36. #10623365	C₂²	semidirect
37. #10623363	C₂²	semidirect
38. #10623361	C₂²	semidirect
39. #10623360	C₂²	semidirect
40. #41×Dic₁₁	C₂²	semidirect
41. #10623337	C₂²	semidirect
42. #10623336	C₂²	semidirect
43. C₂×#66993	C₂²	semidirect
44. C₂×#66993	C₂²	semidirect
45. #10623329	C₂²	semidirect
46. #10623259	C₂²	semidirect
47. #10623256	C₂²	semidirect
48. D₁₁×C₄⋊Q₈	C₂²	semidirect
49. #10623250	C₂²	semidirect
50. #10623249	C₂²	semidirect
51. #10623249	C₂²	semidirect
52. #10623247	C₂²	semidirect
53. #10623246	C₂²	semidirect
57. D₁₁×#127	C₂²	semidirect
58. D₁₁×#127	C₂²	semidirect
59. D₁₁×#127	C₂²	semidirect
60. D₁₁×#127	C₂²	semidirect
61. #10623244	C₂²	semidirect
62. #10623229	C₂²	semidirect
63. #10623219	C₂²	semidirect
64. D₁₁×#125	C₂²	semidirect
65. #10623212	C₂²	semidirect
66. #10623212	C₂²	semidirect
67. #10623207	C₂²	semidirect
68. #10623205	C₂²	semidirect
69. D₁₁×#124	C₂²	semidirect
70. D₁₁×#124	C₂²	semidirect
71. #10623199	C₂²	semidirect
72. #10623195	C₂²	semidirect
73. #10623194	C₂²	semidirect
74. #10623185	C₂²	semidirect
75. D₁₁×#123	C₂²	semidirect
76. #10623161	C₂²	semidirect
78. #10623153	C₂²	semidirect
79. #10623150	C₂²	semidirect
80. #10623146	C₂²	semidirect
81. #10623143	C₂²	semidirect
82. #10623141	C₂²	semidirect
83. #10623138	C₂²	semidirect
84. D₁₁×#121	C₂²	semidirect
85. D₁₁×#121	C₂²	semidirect
86. D₁₁×#121	C₂²	semidirect
87. #10623130	C₂²	semidirect
88. #10623130	C₂²	semidirect
89. #10623127	C₂²	semidirect
90. #10623127	C₂²	semidirect
91. #10623123	C₂²	semidirect
92. #10623122	C₂²	semidirect
94. #10623116	C₂²	semidirect
95. #10623116	C₂²	semidirect
96. #10623109	C₂²	semidirect
97. #10623108	C₂²	semidirect
98. C₄×#4343	C₂²	semidirect
99. C₄×Q₈×D₁₁	C₂²	semidirect
100. C₄×Q₈×D₁₁	C₂²	semidirect
101. #10623093	C₂²	semidirect
102. #10623090	C₂²	semidirect
103. #10623090	C₂²	semidirect
104. #10623085	C₂²	semidirect
105. #10623084	C₂²	semidirect
106. #10623084	C₂²	semidirect
107. #10623081	C₂²	semidirect
108. #10623079	C₂²	semidirect
109. #10623079	C₂²	semidirect
110. #10623076	C₂²	semidirect
111. #10623076	C₂²	semidirect
113. C₄×D₄×D₁₁	C₂²	semidirect
114. C₄×D₄×D₁₁	C₂²	semidirect
115. C₄×D₄×D₁₁	C₂²	semidirect
116. C₄×D₄×D₁₁	C₂²	semidirect
117. C₄×#4341	C₂²	semidirect
118. C₄×#4341	C₂²	semidirect
119. #10623066	C₂²	semidirect
120. #10623056	C₂²	semidirect
121. #10623053	C₂²	semidirect
122. #10623053	C₂²	semidirect
123. #10623052	C₂²	semidirect
124. #10623052	C₂²	semidirect
127. D₁₁×#117	C₂²	semidirect
128. #10623048	C₂²	semidirect
129. #10623021	C₂²	semidirect
130. #10623017	C₂²	semidirect
132. #10623008	C₂²	semidirect
133. C₂×#66927	C₂²	semidirect
134. C₄×#4339	C₂²	semidirect
135. C₄×#4339	C₂²	semidirect
137. C₂×C₄²×D₁₁	C₂²	semidirect
138. #10623001	C₂²	semidirect
141. C₂×C₁₁×#41	C₂³	semidirect
149. C₂×#4343	C₂³	semidirect
154. C₂×#4341	C₂³	semidirect
155. C₂×#4341	C₂³	semidirect
171. C₂×#4339	C₂³	semidirect
172. C₂×#4339	C₂³	semidirect
180. C₁₁×C₄⋊Q₈	C₂³	semidirect
184. C₁₁×#127	C₂³	semidirect
185. C₁₁×#125	C₂³	semidirect
186. C₁₁×#124	C₂³	semidirect
187. C₁₁×#124	C₂³	semidirect
188. C₁₁×#123	C₂³	semidirect
190. C₁₁×#121	C₂³	semidirect
191. C₁₁×#121	C₂³	semidirect
192. C₁₁×#121	C₂³	semidirect
194. C₄×Q₈×C₁₁	C₂³	semidirect
195. C₄×Q₈×C₁₁	C₂³	semidirect
197. C₄×D₄×C₁₁	C₂³	semidirect
198. C₄×D₄×C₁₁	C₂³	semidirect
199. C₄×D₄×C₁₁	C₂³	semidirect
200. C₄×D₄×C₁₁	C₂³	semidirect
203. C₁₁×#117	C₂³	semidirect
206. C₂×C₄²×C₁₁	C₂³	semidirect
209. #67000	C₂³	semidirect
210. #67000	C₂³	semidirect
212. Q₈×Dic₁₁	C₂³	semidirect
213. Q₈×Dic₁₁	C₂³	semidirect
214. #66997	C₂³	semidirect
222. #66993	C₂³	semidirect
223. #66993	C₂³	semidirect
224. #66993	C₂³	semidirect
225. #66992	C₂³	semidirect
226. #66992	C₂³	semidirect
227. #66992	C₂³	semidirect
228. #66992	C₂³	semidirect
229. #66991	C₂³	semidirect
230. #66991	C₂³	semidirect
231. #66991	C₂³	semidirect
234. #66989	C₂³	semidirect
235. #66989	C₂³	semidirect
236. #66988	C₂³	semidirect
238. D₄×Dic₁₁	C₂³	semidirect
239. D₄×Dic₁₁	C₂³	semidirect
240. D₄×Dic₁₁	C₂³	semidirect
241. D₄×Dic₁₁	C₂³	semidirect
242. #66983	C₂³	semidirect
243. #66983	C₂³	semidirect
244. #66983	C₂³	semidirect
245. #66982	C₂³	semidirect
248. C₄×C₂²⋊D₁₁	C₂³	semidirect
249. C₄×C₂²⋊D₁₁	C₂³	semidirect
250. C₄×C₂²⋊D₁₁	C₂³	semidirect
251. C₄×C₂²⋊D₁₁	C₂³	semidirect
255. #66979	C₂³	semidirect
259. C₂×C₄×Dic₁₁	C₂³	semidirect
260. C₂×C₄×Dic₁₁	C₂³	semidirect
263. #66948	C₂³	semidirect
264. #66948	C₂³	semidirect
265. #66948	C₂³	semidirect
266. #66947	C₂³	semidirect
267. #66947	C₂³	semidirect
269. #66946	C₂³	semidirect
270. #66946	C₂³	semidirect
271. #66946	C₂³	semidirect
272. #66946	C₂³	semidirect
275. #66945	C₂³	semidirect
281. #66943	C₂³	semidirect
282. #66942	C₂³	semidirect
283. #66941	C₂³	semidirect
284. #66941	C₂³	semidirect
285. #66940	C₂³	semidirect
286. #66940	C₂³	semidirect
287. #66940	C₂³	semidirect
288. #66940	C₂³	semidirect
289. #66939	C₂³	semidirect
290. #66938	C₂³	semidirect
291. #66938	C₂³	semidirect
292. #66938	C₂³	semidirect
293. #66937	C₂³	semidirect
294. #66937	C₂³	semidirect
295. #66937	C₂³	semidirect
296. #66937	C₂³	semidirect
297. #66936	C₂³	semidirect
298. #66936	C₂³	semidirect
303. (C₂²⋊D₁₁)⋊C₄	C₂³	semidirect
304. (C₂²⋊D₁₁)⋊C₄	C₂³	semidirect
305. (C₂²⋊D₁₁)⋊C₄	C₂³	semidirect
306. (C₂²⋊D₁₁)⋊C₄	C₂³	semidirect
318. #66930	C₂³	semidirect
319. #66928	C₂³	semidirect
320. #66928	C₂³	semidirect
324. #66927	C₂³	semidirect
326. C₄×D₄₄	C₂³	semidirect
327. C₄×D₄₄	C₂³	semidirect
328. C₄×D₄₄	C₂³	semidirect
329. C₄×D₄₄	C₂³	semidirect
332. #66925	C₂³	semidirect
333. #66925	C₂³	semidirect
343. C₄²×D₁₁	C₂³	semidirect
344. C₄²×D₁₁	C₂³	semidirect
345. C₄²×D₁₁	C₂³	semidirect
346. #66923	C₂³	semidirect
347. #66922	C₂³	semidirect
348. C₄×Dic₂₂	C₂³	semidirect
349. C₄×Dic₂₂	C₂³	semidirect
350. C₄×Dic₂₂	C₂³	semidirect
351. C₄×Dic₂₂	C₂³	semidirect
431. C₂×C₄×D₁₁	#41	semidirect
518. #3508	D₁₁	direct (N × H)
562. C₂×C₄×C₁₁	C₂×#41	semidirect
583. C₂×Dic₁₁	C₂×#41	semidirect
612. C₄×D₁₁	C₂×#41	semidirect
613. C₄×D₁₁	C₂×#41	semidirect
631. #559	C₂×D₁₁	semidirect
640. #550	C₂×D₁₁	semidirect
652. #546	C₂×D₁₁	semidirect
660. #540	C₂×D₁₁	semidirect
668. #535	C₂×D₁₁	semidirect
675. #533	C₂×D₁₁	semidirect
685. #532	C₂×D₁₁	semidirect
697. C₂×#127	C₂×D₁₁	semidirect
713. #518	C₂×D₁₁	semidirect
722. C₄×#41	C₂×D₁₁	semidirect
785. C₂×#41	C₂²×D₁₁	semidirect
816. C₄⋊Q₈	C₂²×D₁₁	semidirect
834. #127	C₂²×D₁₁	semidirect
838. #125	C₂²×D₁₁	semidirect
848. #124	C₂²×D₁₁	semidirect
849. #124	C₂²×D₁₁	semidirect
857. #123	C₂²×D₁₁	semidirect
881. #121	C₂²×D₁₁	semidirect
882. #121	C₂²×D₁₁	semidirect
883. #121	C₂²×D₁₁	semidirect
900. C₄×Q₈	C₂²×D₁₁	semidirect
901. C₄×Q₈	C₂²×D₁₁	semidirect
930. C₄×D₄	C₂²×D₁₁	semidirect
931. C₄×D₄	C₂²×D₁₁	semidirect
932. C₄×D₄	C₂²×D₁₁	semidirect
933. C₄×D₄	C₂²×D₁₁	semidirect
949. #117	C₂²×D₁₁	semidirect
983. C₂×C₄²	C₂²×D₁₁	semidirect
992. D₁₁	#3508	direct (N × H)
1148. C₁₁	C₂×#3508	semidirect
1231. C₂×C₄	#41×D₁₁	semidirect

Maximal subgroups

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

subgroup	index
#13082493	2
#13082492	2
#13082491	2
#13082490	2
#13082489	2
#13082488	2
#13082487	2
#13082486	2
#13082485	2
#13082484	2
D₁₁×#559	2
D₁₁×#550	2
D₁₁×#546	2
D₁₁×#540	2
D₁₁×#535	2
D₁₁×#533	2
D₁₁×#532	2
C₂×D₁₁×#127	2
D₁₁×#518	2
C₄×#41×D₁₁	2
C₁₁×#3508	2
C₂×#3508	11

Subgroups — D11×#3508 #15662124

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₁×#3508 #15662124