Subgroups — #14917633

Order 2816.

2010 conjugacy classes of subgroups.

The subgroup lattice has 1340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10623154	C₂	1	1	yes	maximal, characteristic
2	#13071800	C₂	1	1	yes	maximal, characteristic, complemented
3	#13071800	C₂	1	1	yes	maximal, characteristic, complemented
4	#13071795	C₂	1	1	yes	maximal, characteristic, complemented
5	#13071794	C₂	1	1	yes	maximal, characteristic, complemented
6	#13071719	C₂	1	1	yes	maximal, characteristic, complemented
7	#13071718	C₂	1	1	yes	maximal, characteristic, complemented
8	#13071696	C₂	1	1	yes	maximal, characteristic
9	#13071675	C₂	1	1	yes	maximal, characteristic, complemented
10	#13071673	C₂	1	1	yes	maximal, characteristic, complemented
11	#13071625	C₂	1	1	yes	maximal, characteristic
12	#13071619	C₂	1	1	yes	maximal, characteristic
13	#13071474	C₂	1	1	yes	maximal, characteristic
14	#13071474	C₂	1	1	yes	maximal, characteristic
15	#13071470	C₂	1	1	yes	maximal, characteristic
16	#13071470	C₂	1	1	yes	maximal, characteristic
17	#13071421	C₂	1	1	yes	maximal, characteristic, complemented
18	#13071421	C₂	1	1	yes	maximal, characteristic, complemented
19	#13071418	C₂	1	1	yes	maximal, characteristic, complemented
20	#13071415	C₂	1	1	yes	maximal, characteristic, complemented
21	#13071360	C₂	1	1	yes	maximal, characteristic, complemented
22	#13071359	C₂	1	1	yes	maximal, characteristic, complemented
23	#13071347	C₂	1	1	yes	maximal, characteristic
24	#13071344	C₂	1	1	yes	maximal, characteristic
25	#13071334	C₂	1	1	yes	maximal, characteristic, complemented
26	#13071331	C₂	1	1	yes	maximal, characteristic, complemented
27	#13071216	C₂	1	1	yes	maximal, characteristic
28	#13071148	C₂	1	1	yes	maximal, characteristic
29	C₄×#66931	C₂	1	1	yes	maximal, characteristic
30	C₂×#10622268	C₂	1	1	yes	maximal, characteristic
31	C₁₁×#2368	C₂	1	1	yes	maximal, characteristic
32	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×Q₈×Dic₁₁	C₂²	1	1	yes	characteristic
34	C₂×#66997	C₂²	1	1	yes	characteristic
35	C₂×#66997	C₂²	1	1	yes	characteristic
36	C₂²×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic
37	C₂×#66977	C₂²	1	1	yes	characteristic
38	C₂²×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₄×Dic₁₁	C₂²	1	1	yes	characteristic
40	#10623154	C₄	1	16	yes	complemented
41	C₂×#66942	C₂²	1	1	yes	characteristic
42	C₂×#66942	C₂²	1	1	yes	characteristic
43	C₂×#66942	C₂²	1	1	yes	characteristic
44	C₂×#66942	C₂²	1	1	yes	characteristic
45	C₂×#66941	C₂²	1	1	yes	characteristic
46	C₂×#66941	C₂²	1	1	yes	characteristic
47	C₂×#66940	C₂²	1	1	yes	characteristic
48	C₂×#66931	C₂²	1	1	yes	characteristic
49	C₂×#66931	C₂²	1	1	yes	characteristic
50	C₂×#66930	C₂²	1	1	yes	characteristic
51	C₂×#66930	C₂²	1	1	yes	characteristic
52	C₂×C₄×Dic₂₂	C₂²	1	1	yes	characteristic
53	C₂×C₄×Dic₂₂	C₂²	1	1	yes	characteristic
54	C₁₁×#391	C₂²	1	1	yes	characteristic
55	C₁₁×#391	C₂²	1	1	yes	characteristic
56	C₁₁×#387	C₂²	1	1	yes	characteristic
57	C₁₁×#387	C₂²	1	1	yes	characteristic
58	C₁₁×#387	C₂²	1	1	yes	characteristic
59	C₁₁×#387	C₂²	1	1	yes	characteristic
60	C₁₁×#385	C₂²	1	1	yes	characteristic
61	C₁₁×#385	C₂²	1	1	yes	characteristic
62	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
63	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
64	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
65	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
67	C₂×C₁₁×#95	C₂²	1	1	yes	characteristic
68	#10622843	C₂²	1	1	yes	characteristic
69	#10622823	C₂²	1	1	yes	characteristic
70	#10622823	C₂²	1	1	yes	characteristic
71	C₄×C₂²⋊Dic₁₁	C₂²	1	1	yes	characteristic
72	C₄×C₂²⋊Dic₁₁	C₂²	1	1	yes	characteristic
73	C₄×C₂²⋊Dic₁₁	C₂²	1	1	yes	characteristic
74	C₂×C₁₁⋊#95	C₂²	1	1	yes	characteristic
75	C₂×C₁₁⋊#95	C₂²	1	1	yes	characteristic
76	C₂×C₁₁⋊#95	C₂²	1	1	yes	characteristic
77	#10622598	C₂²	1	1	yes	characteristic
78	#10622598	C₂²	1	1	yes	characteristic
79	#10622598	C₂²	1	1	yes	characteristic
80	#10622594	C₂²	1	1	yes	characteristic
81	#10622594	C₂²	1	1	yes	characteristic
82	#10622591	C₂²	1	1	yes	characteristic
83	#10622591	C₂²	1	1	yes	characteristic
84	#10622591	C₂²	1	1	yes	characteristic
85	#10622591	C₂²	1	1	yes	characteristic
86	#10622591	C₂²	1	1	yes	characteristic
87	#10622591	C₂²	1	1	yes	characteristic
88	#10622590	C₂²	1	1	yes	characteristic
89	#10622590	C₂²	1	1	yes	characteristic
90	C₄⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
91	C₄⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
92	C₄⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
93	C₄⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
94	#10622587	C₂²	1	1	yes	characteristic
95	#10622586	C₂²	1	1	yes	characteristic
96	#10622585	C₂²	1	1	yes	characteristic
97	#10622585	C₂²	1	1	yes	characteristic
98	#10622563	C₂²	1	1	yes	characteristic
99	#10622563	C₂²	1	1	yes	characteristic
100	#10622559	C₂²	1	1	yes	characteristic
101	#10622559	C₂²	1	1	yes	characteristic
102	#10622556	C₂²	1	1	yes	characteristic
103	#10622556	C₂²	1	1	yes	characteristic
104	#10622555	C₂²	1	1	yes	characteristic
105	#10622555	C₂²	1	1	yes	characteristic
106	C₂²⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
107	C₂²⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
108	C₂²⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
109	C₂²⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
110	C₄×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic
111	C₄×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic
112	#10622546	C₂²	1	1	yes	characteristic
113	#10622546	C₂²	1	1	yes	characteristic
114	#10622546	C₂²	1	1	yes	characteristic
115	#10622546	C₂²	1	1	yes	characteristic
116	#10622546	C₂²	1	1	yes	characteristic
117	#10622546	C₂²	1	1	yes	characteristic
118	#10622546	C₂²	1	1	yes	characteristic
119	#10622546	C₂²	1	1	yes	characteristic
120	#10622546	C₂²	1	1	yes	characteristic
121	#10622546	C₂²	1	1	yes	characteristic
122	#10622545	C₂²	1	1	yes	characteristic
123	#10622545	C₂²	1	1	yes	characteristic
124	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
125	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
126	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
127	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
128	#10622542	C₂²	1	1	yes	characteristic
129	#10622542	C₂²	1	1	yes	characteristic
130	#10622541	C₂²	1	1	yes	characteristic
131	#10622541	C₂²	1	1	yes	characteristic
132	#10622268	C₂²	1	1	yes	characteristic
133	#10622268	C₂²	1	1	yes	characteristic
134	#10622268	C₂²	1	1	yes	characteristic
135	#10622268	C₂²	1	1	yes	characteristic
136	#10622268	C₂²	1	1	yes	characteristic
137	#10622268	C₂²	1	1	yes	characteristic
138	#10622268	C₂²	1	1	yes	characteristic
139	#10622268	C₂²	1	1	yes	characteristic
140	#10622268	C₂²	1	1	yes	characteristic
141	#10622268	C₂²	1	1	yes	characteristic
142	#10622268	C₂²	1	1	yes	characteristic
143	#10622268	C₂²	1	1	yes	characteristic
144	#10622268	C₂²	1	1	yes	characteristic
145	#10622268	C₂²	1	1	yes	characteristic
146	#10622268	C₂²	1	1	yes	characteristic
147	#10622268	C₂²	1	1	yes	characteristic
148	#10622267	C₂²	1	1	yes	characteristic
149	#10622267	C₂²	1	1	yes	characteristic
150	#10622266	C₂²	1	1	yes	characteristic
151	#10622266	C₂²	1	1	yes	characteristic
152	#10622266	C₂²	1	1	yes	characteristic
153	#10622266	C₂²	1	1	yes	characteristic
154	#10622265	C₂²	1	1	yes	characteristic
155	#10622265	C₂²	1	1	yes	characteristic
156	#10622265	C₂²	1	1	yes	characteristic
157	#10622265	C₂²	1	1	yes	characteristic
158	#10622265	C₂²	1	1	yes	characteristic
159	#10622265	C₂²	1	1	yes	characteristic
160	#10622265	C₂²	1	1	yes	characteristic
161	#10622265	C₂²	1	1	yes	characteristic
162	#10622265	C₂²	1	1	yes	characteristic
163	#10622265	C₂²	1	1	yes	characteristic
164	#10622265	C₂²	1	1	yes	characteristic
165	#10622265	C₂²	1	1	yes	characteristic
166	#10622264	C₂²	1	1	yes	characteristic
167	#10622264	C₂²	1	1	yes	characteristic
168	#10622264	C₂²	1	1	yes	characteristic
169	#10622264	C₂²	1	1	yes	characteristic
170	#10622263	C₂²	1	1	yes	characteristic
171	#10622263	C₂²	1	1	yes	characteristic
172	#10622262	C₂²	1	1	yes	characteristic
173	#10622262	C₂²	1	1	yes	characteristic
174	#10622262	C₂²	1	1	yes	characteristic
175	#10622262	C₂²	1	1	yes	characteristic
176	#10622261	C₂²	1	1	yes	characteristic
177	#10622261	C₂²	1	1	yes	characteristic
178	#10622260	C₂²	1	1	yes	characteristic
179	#10622260	C₂²	1	1	yes	characteristic
180	#10622260	C₂²	1	1	yes	characteristic
181	#10622260	C₂²	1	1	yes	characteristic
182	#10622259	C₂²	1	1	yes	characteristic
183	#10622259	C₂²	1	1	yes	characteristic
184	#10622259	C₂²	1	1	yes	characteristic
185	#10622259	C₂²	1	1	yes	characteristic
186	#10622259	C₂²	1	1	yes	characteristic
187	#10622259	C₂²	1	1	yes	characteristic
188	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
192	C₂³×Dic₁₁	C₂³	1	1	yes	characteristic
193	C₂³×Dic₁₁	C₂³	1	1	yes	characteristic
194	C₂³×Dic₁₁	C₂³	1	1	yes	characteristic
195	C₂³×Dic₁₁	C₂³	1	1	yes	characteristic
196	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
197	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
198	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
199	C₁₁×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
200	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
221	Q₈×Dic₁₁	—	4	2	no	—
222	#66997	C₂×C₄	1	8	yes	complemented
223	#66997	C₂×C₄	1	8	yes	complemented
224	C₂×C₄⋊Dic₁₁	—	4	2	no	—
225	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
236	#66977	C₂×C₄	1	8	yes	—
237	C₂×Dic₁₁⋊C₄	C₂×C₄	1	8	yes	—
238	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₁₁	—	4	2	no	—
265	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
287	#66942	C₂×C₄	1	8	yes	complemented
288	#66942	C₂×C₄	1	8	yes	complemented
289	#66942	C₂×C₄	1	8	yes	complemented
290	#66942	C₂×C₄	1	8	yes	complemented
291	#66941	C₂×C₄	1	8	yes	complemented
292	#66941	C₂×C₄	1	8	yes	complemented
293	#66940	—	4	2	no	—
294	#66931	C₂×C₄	1	8	yes	—
295	#66931	C₂×C₄	1	8	yes	—
296	#66930	C₂×C₄	1	8	yes	—
297	#66930	C₂×C₄	1	8	yes	—
298	C₄×Dic₂₂	—	4	2	no	—
299	C₄×Dic₂₂	—	4	2	no	—
300	C₁₁×#95	C₂³	1	1	yes	characteristic
301	C₁₁×#95	C₂³	1	1	yes	characteristic
302	C₁₁×#95	C₂³	1	1	yes	characteristic
303	C₁₁×#95	C₂³	1	1	yes	characteristic
304	C₁₁×#95	C₂³	1	1	yes	characteristic
305	C₁₁×#95	C₂³	1	1	yes	characteristic
306	C₁₁×#95	C₂³	1	1	yes	characteristic
307	C₁₁×#95	C₂³	1	1	yes	characteristic
308	C₁₁×#95	C₂³	1	1	yes	characteristic
309	C₁₁×#95	C₂³	1	1	yes	characteristic
310	C₁₁×#95	C₂³	1	1	yes	characteristic
311	C₁₁×#95	C₂³	1	1	yes	characteristic
312	C₁₁×#95	C₂³	1	1	yes	characteristic
313	C₁₁×#95	C₂³	1	1	yes	characteristic
314	C₁₁⋊#95	C₂³	1	1	yes	characteristic
315	C₁₁⋊#95	C₂³	1	1	yes	characteristic
316	C₁₁⋊#95	C₂³	1	1	yes	characteristic
317	C₁₁⋊#95	C₂³	1	1	yes	characteristic
318	C₁₁⋊#95	C₂³	1	1	yes	characteristic
319	C₁₁⋊#95	C₂³	1	1	yes	characteristic
320	C₁₁⋊#95	C₂³	1	1	yes	characteristic
321	C₁₁⋊#95	C₂³	1	1	yes	characteristic
322	C₁₁⋊#95	C₂³	1	1	yes	characteristic
323	C₁₁⋊#95	C₂³	1	1	yes	characteristic
324	C₁₁⋊#95	C₂³	1	1	yes	characteristic
325	C₁₁⋊#95	C₂³	1	1	yes	characteristic
326	C₁₁⋊#95	C₂³	1	1	yes	characteristic
327	C₁₁⋊#95	C₂³	1	1	yes	characteristic
328	C₁₁⋊#95	C₂³	1	1	yes	characteristic
329	C₁₁⋊#95	C₂³	1	1	yes	characteristic
330	C₁₁⋊#95	C₂³	1	1	yes	characteristic
331	C₁₁⋊#95	C₂³	1	1	yes	characteristic
332	C₁₁⋊#95	C₂³	1	1	yes	characteristic
333	C₁₁⋊#95	C₂³	1	1	yes	characteristic
334	C₁₁⋊#95	C₂³	1	1	yes	characteristic
335	C₁₁⋊#95	C₂³	1	1	yes	characteristic
336	C₁₁⋊#95	C₂³	1	1	yes	characteristic
337	C₁₁⋊#95	C₂³	1	1	yes	characteristic
338	C₁₁⋊#95	C₂³	1	1	yes	characteristic
339	C₁₁⋊#95	C₂³	1	1	yes	characteristic
340	C₁₁⋊#95	C₂³	1	1	yes	characteristic
341	C₁₁⋊#95	C₂³	1	1	yes	characteristic
342	C₁₁⋊#95	C₂³	1	1	yes	characteristic
343	C₁₁⋊#95	C₂³	1	1	yes	characteristic
344	C₁₁⋊#95	C₂³	1	1	yes	characteristic
345	C₁₁⋊#95	C₂³	1	1	yes	characteristic
346	C₁₁⋊#95	C₂³	1	1	yes	characteristic
347	C₁₁⋊#95	C₂³	1	1	yes	characteristic
348	C₁₁⋊#95	C₂³	1	1	yes	characteristic
349	C₁₁⋊#95	C₂³	1	1	yes	characteristic
350	C₁₁⋊#95	C₂³	1	1	yes	characteristic
351	C₁₁⋊#95	C₂³	1	1	yes	characteristic
352	C₁₁⋊#95	C₂³	1	1	yes	characteristic
353	C₁₁⋊#95	C₂³	1	1	yes	characteristic
354	C₁₁⋊#95	C₂³	1	1	yes	characteristic
355	C₁₁⋊#95	C₂³	1	1	yes	characteristic
356	C₁₁⋊#95	C₂³	1	1	yes	characteristic
357	C₁₁⋊#95	C₂³	1	1	yes	characteristic
358	C₁₁⋊#95	C₂³	1	1	yes	characteristic
359	C₁₁⋊#95	C₂³	1	1	yes	characteristic
360	C₁₁⋊#95	C₂³	1	1	yes	characteristic
361	C₁₁⋊#95	C₂³	1	1	yes	characteristic
362	C₁₁⋊#95	C₂³	1	1	yes	characteristic
363	C₁₁⋊#95	C₂³	1	1	yes	characteristic
364	#34432	—	11	1	no	maximal, Sylow
365	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
366	C₂×Q₈×C₁₁	—	4	1	no	—
367	C₂×Q₈×C₁₁	—	4	1	no	—
368	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	—
369	C₂²×C₄×C₁₁	—	2	2	no	—
370	C₂²×C₄×C₁₁	—	2	2	no	—
371	C₂²×C₄×C₁₁	—	2	2	no	—
372	C₂²×C₄×C₁₁	—	4	1	no	—
373	C₂²×C₄×C₁₁	—	4	1	no	—
374	C₂²×C₄×C₁₁	—	4	1	no	—
375	C₂²×C₄×C₁₁	—	4	1	no	—
376	C₂²×C₄×C₁₁	—	4	1	no	—
377	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
378	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₁₁	—	2	2	no	—
393	C₂²×Dic₁₁	—	2	2	no	—
394	C₂²×Dic₁₁	—	2	2	no	—
395	C₂²×Dic₁₁	—	2	2	no	—
396	C₂²×Dic₁₁	—	2	2	no	—
397	C₂²×Dic₁₁	—	4	1	no	—
398	C₂²×Dic₁₁	—	4	1	no	—
399	C₂²×Dic₁₁	—	4	1	no	—
400	C₂²×Dic₁₁	—	4	1	no	—
401	C₂²×Dic₁₁	—	4	1	no	—
402	C₂²×Dic₁₁	C₂²×C₄	1	4	yes	—
403	C₂²×Dic₁₁	C₂²×C₄	1	4	yes	—
404	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
420	C₂×Dic₂₂	—	4	1	no	—
421	C₂×Dic₂₂	—	4	1	no	—
422	C₂×Dic₂₂	—	4	1	no	—
423	C₂×Dic₂₂	—	4	1	no	—
424	C₂×Dic₂₂	—	4	1	no	—
425	C₂×Dic₂₂	—	4	1	no	—
426	C₂×Dic₂₂	C₂²×C₄	1	4	yes	—
427	C₂×Dic₂₂	C₂²×C₄	1	4	yes	—
428	C₂×Dic₂₂	C₂²×C₄	1	4	yes	—
429	C₁₁×C₄⋊C₄	—	2	2	no	—
430	C₁₁×C₄⋊C₄	—	4	1	no	—
431	C₁₁×C₄⋊C₄	—	4	1	no	—
432	C₁₁×C₄⋊C₄	—	4	1	no	—
433	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
434	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
435	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
436	C₁₁×C₂²⋊C₄	—	2	2	no	—
437	C₁₁×C₂²⋊C₄	—	2	2	no	—
438	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
439	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
440	C₄²×C₁₁	—	2	2	no	—
441	C₄²×C₁₁	—	4	1	no	—
442	C₄²×C₁₁	—	4	1	no	—
443	C₄²×C₁₁	—	4	1	no	—
444	C₄²×C₁₁	—	4	1	no	—
445	C₄²×C₁₁	—	4	1	no	—
446	C₂²⋊Dic₁₁	—	2	2	no	—
447	C₂²⋊Dic₁₁	—	2	2	no	—
448	C₂²⋊Dic₁₁	C₂²×C₄	1	4	yes	—
449	C₂²⋊Dic₁₁	C₂²×C₄	1	4	yes	—
450	C₄⋊Dic₁₁	—	2	2	no	—
451	C₄⋊Dic₁₁	—	2	2	no	—
452	C₄⋊Dic₁₁	—	2	2	no	—
453	C₄⋊Dic₁₁	—	4	1	no	—
454	C₄⋊Dic₁₁	—	4	1	no	—
455	C₄⋊Dic₁₁	—	4	1	no	—
456	C₄⋊Dic₁₁	—	4	1	no	—
457	C₄⋊Dic₁₁	—	4	1	no	—
458	C₄⋊Dic₁₁	C₂²×C₄	1	4	yes	—
459	C₄⋊Dic₁₁	C₂²×C₄	1	4	yes	—
460	C₄⋊Dic₁₁	C₂²×C₄	1	4	yes	—
461	Dic₁₁⋊C₄	—	2	2	no	—
462	Dic₁₁⋊C₄	—	2	2	no	—
463	Dic₁₁⋊C₄	—	4	1	no	—
464	Dic₁₁⋊C₄	—	4	1	no	—
465	Dic₁₁⋊C₄	—	4	1	no	—
466	Dic₁₁⋊C₄	—	4	1	no	—
467	Dic₁₁⋊C₄	—	4	1	no	—
468	Dic₁₁⋊C₄	—	4	1	no	—
469	Dic₁₁⋊C₄	—	4	1	no	—
470	Dic₁₁⋊C₄	—	4	1	no	—
471	Dic₁₁⋊C₄	—	4	1	no	—
472	Dic₁₁⋊C₄	—	4	1	no	—
473	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
474	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
475	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
476	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
477	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
478	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
479	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
480	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
481	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
482	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
483	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
484	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
485	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
486	Dic₁₁⋊C₄	C₂²×C₄	1	4	yes	—
487	C₄×Dic₁₁	—	2	2	no	—
488	C₄×Dic₁₁	—	2	2	no	—
489	C₄×Dic₁₁	—	2	2	no	—
490	C₄×Dic₁₁	—	2	2	no	—
491	C₄×Dic₁₁	—	2	2	no	—
492	C₄×Dic₁₁	—	4	1	no	—
493	C₄×Dic₁₁	—	4	1	no	—
494	C₄×Dic₁₁	—	4	1	no	—
495	C₄×Dic₁₁	—	4	1	no	—
496	C₄×Dic₁₁	—	4	1	no	—
497	C₄×Dic₁₁	—	4	1	no	—
498	C₄×Dic₁₁	—	4	1	no	—
499	C₄×Dic₁₁	—	4	1	no	—
500	C₄×Dic₁₁	—	4	1	no	—
501	C₄×Dic₁₁	—	4	1	no	—
502	C₄×Dic₁₁	—	4	1	no	—
503	C₄×Dic₁₁	—	4	1	no	—
504	C₄×Dic₁₁	—	4	1	no	—
505	C₄×Dic₁₁	C₂²×C₄	1	4	yes	—
506	C₄×Dic₁₁	C₂²×C₄	1	4	yes	—
507	C₄×Dic₁₁	C₂²×C₄	1	4	yes	—
508	C₄×Dic₁₁	C₂²×C₄	1	4	yes	—
509	C₂×#544	—	11	1	no	—
510	#2382	—	11	1	no	—
511	#2382	—	11	1	no	—
512	#2381	—	11	1	no	—
513	#2381	—	11	1	no	—
514	#2371	—	11	1	no	—
515	#2371	—	11	1	no	—
516	#2368	—	11	1	no	—
517	#2368	D₁₁	1	1	yes	characteristic
518	#2365	—	11	1	no	—
519	#2365	—	11	1	no	—
520	#2360	—	11	1	no	—
521	#2360	—	11	1	no	—
522	#2343	—	11	1	no	—
523	#2343	—	11	1	no	—
524	#2343	—	11	1	no	—
525	#2343	—	11	1	no	—
526	#2336	—	11	1	no	—
527	#2336	—	11	1	no	—
528	#2336	—	11	1	no	—
529	#2336	—	11	1	no	—
530	#2331	—	11	1	no	—
531	#2331	—	11	1	no	—
532	#2329	—	11	1	no	—
533	#2329	—	11	1	no	—
534	#2327	—	11	1	no	—
535	#2327	—	11	1	no	—
536	#2313	—	11	1	no	—
537	C₄×C₂²⋊Q₈	—	11	1	no	—
538	C₄×C₂²⋊Q₈	—	11	1	no	—
539	C₂×#387	—	11	1	no	—
540	C₂³×C₁₁	—	2	1	no	—
541	C₂³×C₁₁	—	2	1	no	—
542	C₂³×C₁₁	—	2	1	no	—
543	C₂³×C₁₁	—	2	1	no	—
544	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
545	C₂³×C₁₁	2₋¹⁺⁴	1	2	yes	—
546	C₂³×C₁₁	2₋¹⁺⁴	1	2	yes	—
547	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
548	Q₈×C₁₁	—	4	4	no	—
549	C₂×C₄×C₁₁	—	2	1	no	—
550	C₂×C₄×C₁₁	—	2	1	no	—
551	C₂×C₄×C₁₁	—	2	1	no	—
552	C₂×C₄×C₁₁	—	2	1	no	—
553	C₂×C₄×C₁₁	—	2	1	no	—
554	C₂×C₄×C₁₁	—	2	1	no	—
555	C₂×C₄×C₁₁	—	2	1	no	—
556	C₂×C₄×C₁₁	—	2	1	no	—
557	C₂×C₄×C₁₁	—	2	1	no	—
558	C₂×C₄×C₁₁	—	2	1	no	—
559	C₂×C₄×C₁₁	—	2	1	no	—
560	C₂×C₄×C₁₁	—	2	1	no	—
561	C₂×C₄×C₁₁	—	2	1	no	—
562	C₂×C₄×C₁₁	—	2	1	no	—
563	C₂×C₄×C₁₁	—	2	1	no	—
564	C₂×C₄×C₁₁	—	2	1	no	—
565	C₂×C₄×C₁₁	—	2	1	no	—
566	C₂×C₄×C₁₁	—	2	1	no	—
567	C₂×C₄×C₁₁	—	2	1	no	—
568	C₂×C₄×C₁₁	—	2	1	no	—
569	C₂×C₄×C₁₁	—	2	1	no	—
570	C₂×C₄×C₁₁	—	2	1	no	—
571	C₂×C₄×C₁₁	—	2	1	no	—
572	C₂×C₄×C₁₁	—	2	1	no	—
573	C₂×C₄×C₁₁	—	2	1	no	—
574	C₂×C₄×C₁₁	—	2	1	no	—
575	C₂×C₄×C₁₁	—	2	1	no	—
576	C₂×C₄×C₁₁	—	2	1	no	—
577	C₂×C₄×C₁₁	—	2	1	no	—
578	C₂×C₄×C₁₁	—	2	1	no	—
579	C₂×C₄×C₁₁	—	2	1	no	—
580	C₂×C₄×C₁₁	—	2	1	no	—
581	C₂×C₄×C₁₁	—	2	1	no	—
582	C₂×C₄×C₁₁	—	2	1	no	—
583	C₂×C₄×C₁₁	—	2	1	no	—
584	C₂×C₄×C₁₁	—	4	4	no	—
585	C₂×C₄×C₁₁	—	4	4	no	—
586	C₂×C₄×C₁₁	—	8	2	no	—
587	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
588	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
589	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
590	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
591	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
592	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
593	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
594	C₂×Dic₁₁	—	2	8	no	—
595	C₂×Dic₁₁	—	2	1	no	—
596	C₂×Dic₁₁	—	2	1	no	—
597	C₂×Dic₁₁	—	2	1	no	—
598	C₂×Dic₁₁	—	2	1	no	—
599	C₂×Dic₁₁	—	2	1	no	—
600	C₂×Dic₁₁	—	2	1	no	—
601	C₂×Dic₁₁	—	2	1	no	—
602	C₂×Dic₁₁	—	2	1	no	—
603	C₂×Dic₁₁	—	2	1	no	—
604	C₂×Dic₁₁	—	2	1	no	—
605	C₂×Dic₁₁	—	2	1	no	—
606	C₂×Dic₁₁	—	2	1	no	—
607	C₂×Dic₁₁	—	2	1	no	—
608	C₂×Dic₁₁	—	2	1	no	—
609	C₂×Dic₁₁	—	2	1	no	—
610	C₂×Dic₁₁	—	2	1	no	—
611	C₂×Dic₁₁	—	2	1	no	—
612	C₂×Dic₁₁	—	2	1	no	—
613	C₂×Dic₁₁	—	2	1	no	—
614	C₂×Dic₁₁	—	2	1	no	—
615	C₂×Dic₁₁	—	2	1	no	—
616	C₂×Dic₁₁	—	2	1	no	—
617	C₂×Dic₁₁	—	2	1	no	—
618	C₂×Dic₁₁	—	2	1	no	—
619	C₂×Dic₁₁	—	2	1	no	—
620	C₂×Dic₁₁	—	2	1	no	—
621	C₂×Dic₁₁	—	2	1	no	—
622	C₂×Dic₁₁	—	2	1	no	—
623	C₂×Dic₁₁	—	2	1	no	—
624	C₂×Dic₁₁	—	2	1	no	—
625	C₂×Dic₁₁	—	2	1	no	—
626	C₂×Dic₁₁	—	2	1	no	—
627	C₂×Dic₁₁	—	2	1	no	—
628	C₂×Dic₁₁	—	2	1	no	—
629	C₂×Dic₁₁	—	2	1	no	—
630	C₂×Dic₁₁	—	2	1	no	—
631	C₂×Dic₁₁	—	2	1	no	—
632	C₂×Dic₁₁	—	2	1	no	—
633	C₂×Dic₁₁	—	2	1	no	—
634	C₂×Dic₁₁	—	4	4	no	—
635	C₂×Dic₁₁	—	4	4	no	—
636	C₂×Dic₁₁	—	8	2	no	—
637	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
638	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
639	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
640	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
641	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
642	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
643	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
644	C₂×Dic₁₁	C₂³×C₄	1	2	yes	—
645	C₂×Dic₁₁	H(5,𝔽₂)	1	2	yes	—
646	Dic₂₂	—	4	4	no	—
647	Dic₂₂	—	4	4	no	—
648	Dic₂₂	—	4	4	no	—
649	#544	—	11	16	no	—
650	C₂×C₄⋊Q₈	—	11	1	no	—
651	C₂×C₄⋊Q₈	—	11	1	no	—
652	C₂×C₄⋊Q₈	—	11	1	no	—
653	C₂×C₄⋊Q₈	—	11	1	no	—
654	C₂×#125	—	11	1	no	—
655	C₂×#125	—	11	1	no	—
656	C₂×#125	—	11	1	no	—
657	C₂×#125	—	11	1	no	—
658	C₂×C₂²⋊Q₈	—	11	1	no	—
659	C₂×C₂²⋊Q₈	—	11	1	no	—
660	C₂×C₂²⋊Q₈	—	11	1	no	—
661	C₂×C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic
662	C₂×C₄×Q₈	—	11	1	no	—
663	C₂×C₄×Q₈	—	11	1	no	—
664	C₂×C₄×Q₈	—	11	1	no	—
665	C₂×C₄×Q₈	—	11	1	no	—
666	C₂×#117	—	11	1	no	—
667	C₂×#117	—	11	1	no	—
668	C₂²×C₄⋊C₄	—	11	1	no	—
669	C₂²×C₄⋊C₄	—	11	1	no	—
670	C₂²×C₄²	—	11	1	no	—
671	#391	—	11	1	no	—
672	#391	—	11	1	no	—
673	#391	—	11	1	no	—
674	#391	—	11	1	no	—
675	#391	—	11	1	no	—
676	#391	—	11	1	no	—
677	#391	—	11	1	no	—
678	#391	—	11	1	no	—
679	#391	—	11	1	no	—
680	#391	—	11	1	no	—
681	#391	C₂×D₁₁	1	1	yes	characteristic
682	#391	C₂×D₁₁	1	1	yes	characteristic
683	#389	—	11	1	no	—
684	#389	—	11	1	no	—
685	#389	—	11	1	no	—
686	#389	—	11	1	no	—
687	#389	—	11	1	no	—
688	#389	—	11	1	no	—
689	#389	—	11	1	no	—
690	#389	—	11	1	no	—
691	#389	—	11	1	no	—
692	#389	—	11	1	no	—
693	#389	—	11	1	no	—
694	#389	—	11	1	no	—
695	#387	—	11	1	no	—
696	#387	—	11	1	no	—
697	#387	—	11	1	no	—
698	#387	—	11	1	no	—
699	#387	—	11	1	no	—
700	#387	—	11	1	no	—
701	#387	—	11	1	no	—
702	#387	—	11	1	no	—
703	#387	—	11	1	no	—
704	#387	—	11	1	no	—
705	#387	—	11	1	no	—
706	#387	—	11	1	no	—
707	#387	—	11	1	no	—
708	#387	—	11	1	no	—
709	#387	—	11	1	no	—
710	#387	—	11	1	no	—
711	#387	—	11	1	no	—
712	#387	—	11	1	no	—
713	#387	—	11	1	no	—
714	#387	—	11	1	no	—
715	#387	—	11	1	no	—
716	#387	—	11	1	no	—
717	#387	—	11	1	no	—
718	#387	—	11	1	no	—
719	#387	—	11	1	no	—
720	#387	—	11	1	no	—
721	#387	—	11	1	no	—
722	#387	—	11	1	no	—
723	#387	—	11	1	no	—
724	#387	—	11	1	no	—
725	#387	—	11	1	no	—
726	#387	—	11	1	no	—
727	#387	—	11	1	no	—
728	#387	—	11	1	no	—
729	#387	—	11	1	no	—
730	#387	—	11	1	no	—
731	#387	—	11	1	no	—
732	#387	—	11	1	no	—
733	#387	—	11	1	no	—
734	#387	—	11	1	no	—
735	#387	—	11	1	no	—
736	#387	—	11	1	no	—
737	#387	—	11	1	no	—
738	#387	—	11	1	no	—
739	#387	—	11	1	no	—
740	#387	—	11	1	no	—
741	#387	—	11	1	no	—
742	#387	—	11	1	no	—
743	#387	—	11	1	no	—
744	#387	—	11	1	no	—
745	#387	—	11	1	no	—
746	#387	—	11	1	no	—
747	#387	C₂×D₁₁	1	1	yes	characteristic
748	#387	C₂×D₁₁	1	1	yes	characteristic
749	#387	C₂×D₁₁	1	1	yes	characteristic
750	#387	C₂×D₁₁	1	1	yes	characteristic
751	#385	—	11	1	no	—
752	#385	—	11	1	no	—
753	#385	—	11	1	no	—
754	#385	—	11	1	no	—
755	#385	—	11	1	no	—
756	#385	—	11	1	no	—
757	#385	C₂×D₁₁	1	1	yes	characteristic
758	#385	C₂×D₁₁	1	1	yes	characteristic
759	#383	—	11	1	no	—
760	#383	—	11	1	no	—
761	#383	—	11	1	no	—
762	#383	—	11	1	no	—
763	#382	—	11	1	no	—
764	#382	—	11	1	no	—
765	#382	—	11	1	no	—
766	#382	—	11	1	no	—
767	#381	—	11	1	no	—
768	#381	—	11	1	no	—
769	#380	—	11	1	no	—
770	#380	—	11	1	no	—
771	C₄×C₄⋊C₄	—	11	1	no	—
772	C₄×C₄⋊C₄	—	11	1	no	—
773	C₄×C₄⋊C₄	—	11	1	no	—
774	C₄×C₄⋊C₄	—	11	1	no	—
775	C₄×C₄⋊C₄	—	11	1	no	—
776	C₄×C₄⋊C₄	—	11	1	no	—
777	C₄×C₄⋊C₄	—	11	1	no	—
778	C₄×C₄⋊C₄	—	11	1	no	—
779	C₄×C₄⋊C₄	—	11	1	no	—
780	C₄×C₄⋊C₄	—	11	1	no	—
781	C₄×C₄⋊C₄	—	11	1	no	—
782	C₄×C₄⋊C₄	—	11	1	no	—
783	C₄×C₄⋊C₄	—	11	1	no	—
784	C₄×C₄⋊C₄	—	11	1	no	—
785	C₄×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic
786	C₄×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic
787	C₄×C₂²⋊C₄	—	11	1	no	—
788	C₄×C₂²⋊C₄	—	11	1	no	—
789	C₄×C₂²⋊C₄	—	11	1	no	—
790	C₄×C₂²⋊C₄	—	11	1	no	—
791	C₄×C₂²⋊C₄	—	11	1	no	—
792	C₄×C₂²⋊C₄	—	11	1	no	—
793	C₄×C₂²⋊C₄	—	11	1	no	—
794	C₄×C₂²⋊C₄	C₂×D₁₁	1	1	yes	characteristic
795	C₄×C₂²⋊C₄	C₂×D₁₁	1	1	yes	characteristic
796	C₄×C₂²⋊C₄	C₂×D₁₁	1	1	yes	characteristic
797	#376	—	11	1	no	—
798	#376	—	11	1	no	—
799	#376	—	11	1	no	—
800	#376	—	11	1	no	—
801	C₂×#95	—	11	1	no	—
802	C₂×#95	—	11	1	no	—
803	C₂×#95	—	11	1	no	—
804	C₂×#95	C₂×D₁₁	1	1	yes	characteristic
805	C₂²×C₁₁	—	2	2	no	—
806	C₂²×C₁₁	—	2	2	no	—
807	C₂²×C₁₁	—	2	2	no	—
808	C₂²×C₁₁	—	2	2	no	—
809	C₂²×C₁₁	—	2	2	no	—
810	C₂²×C₁₁	—	2	2	no	—
811	C₂²×C₁₁	#519	1	4	yes	—
812	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
813	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
814	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
815	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
816	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
817	C₂²×C₁₁	#585	1	1	yes	characteristic
818	C₂²×C₁₁	#585	1	1	yes	characteristic
819	C₄×C₁₁	—	2	2	no	—
820	C₄×C₁₁	—	2	2	no	—
821	C₄×C₁₁	—	2	2	no	—
822	C₄×C₁₁	—	2	2	no	—
823	C₄×C₁₁	—	2	2	no	—
824	C₄×C₁₁	—	2	2	no	—
825	C₄×C₁₁	—	2	2	no	—
826	C₄×C₁₁	—	4	1	no	—
827	C₄×C₁₁	—	4	1	no	—
828	C₄×C₁₁	—	4	1	no	—
829	C₄×C₁₁	—	4	1	no	—
830	C₄×C₁₁	—	4	1	no	—
831	C₄×C₁₁	—	4	1	no	—
832	C₄×C₁₁	—	4	1	no	—
833	Dic₁₁	—	2	2	no	—
834	Dic₁₁	—	2	2	no	—
835	Dic₁₁	—	2	2	no	—
836	Dic₁₁	—	2	2	no	—
837	Dic₁₁	—	2	2	no	—
838	Dic₁₁	—	2	2	no	—
839	Dic₁₁	—	2	2	no	—
840	Dic₁₁	—	2	2	no	—
841	Dic₁₁	—	2	2	no	—
842	Dic₁₁	—	4	1	no	—
843	Dic₁₁	—	4	1	no	—
844	Dic₁₁	—	4	1	no	—
845	Dic₁₁	—	4	1	no	—
846	Dic₁₁	—	4	1	no	—
847	Dic₁₁	—	4	1	no	—
848	Dic₁₁	—	4	1	no	—
849	C₂²×Q₈	—	11	1	no	—
850	C₂²×Q₈	—	11	1	no	—
851	C₂²×Q₈	—	11	1	no	—
852	C₂²×Q₈	C₂²×D₁₁	1	1	yes	characteristic
853	C₂³×C₄	—	11	1	no	—
854	C₂³×C₄	—	11	1	no	—
855	C₂³×C₄	—	11	1	no	—
856	C₂³×C₄	—	11	1	no	—
857	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
858	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
859	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
860	C₄⋊Q₈	—	11	8	no	—
861	C₄⋊Q₈	—	11	8	no	—
862	C₄⋊Q₈	—	11	8	no	—
863	C₄⋊Q₈	—	11	8	no	—
864	#125	—	11	8	no	—
865	#125	—	11	8	no	—
866	#125	—	11	8	no	—
867	#125	—	11	8	no	—
868	C₂²⋊Q₈	—	11	8	no	—
869	C₂²⋊Q₈	—	11	8	no	—
870	C₂²⋊Q₈	—	11	8	no	—
871	C₂²⋊Q₈	C₄×D₁₁	1	8	yes	—
872	C₄×Q₈	—	44	2	no	—
873	C₄×Q₈	—	44	2	no	—
874	C₄×Q₈	—	44	2	no	—
875	C₄×Q₈	—	44	2	no	—
876	#117	—	11	8	no	—
877	#117	—	11	8	no	—
878	C₂×C₄⋊C₄	—	11	8	no	—
879	C₂×C₄⋊C₄	—	11	1	no	—
880	C₂×C₄⋊C₄	—	11	1	no	—
881	C₂×C₄⋊C₄	—	11	1	no	—
882	C₂×C₄⋊C₄	—	11	1	no	—
883	C₂×C₄⋊C₄	—	11	1	no	—
884	C₂×C₄⋊C₄	—	11	1	no	—
885	C₂×C₄⋊C₄	—	11	1	no	—
886	C₂×C₄⋊C₄	—	11	1	no	—
887	C₂×C₄⋊C₄	—	11	1	no	—
888	C₂×C₄⋊C₄	—	11	1	no	—
889	C₂×C₄⋊C₄	—	11	1	no	—
890	C₂×C₄⋊C₄	—	11	1	no	—
891	C₂×C₄⋊C₄	—	11	1	no	—
892	C₂×C₄⋊C₄	—	11	1	no	—
893	C₂×C₄⋊C₄	—	11	1	no	—
894	C₂×C₄⋊C₄	—	11	1	no	—
895	C₂×C₄⋊C₄	—	11	1	no	—
896	C₂×C₄⋊C₄	—	11	1	no	—
897	C₂×C₄⋊C₄	—	11	1	no	—
898	C₂×C₄⋊C₄	—	11	1	no	—
899	C₂×C₄⋊C₄	—	11	1	no	—
900	C₂×C₄⋊C₄	—	11	1	no	—
901	C₂×C₄⋊C₄	—	11	1	no	—
902	C₂×C₄⋊C₄	—	11	1	no	—
903	C₂×C₄⋊C₄	—	11	1	no	—
904	C₂×C₄⋊C₄	—	11	1	no	—
905	C₂×C₄⋊C₄	—	11	1	no	—
906	C₂×C₄⋊C₄	—	11	1	no	—
907	C₂×C₄⋊C₄	—	11	1	no	—
908	C₂×C₄⋊C₄	—	11	1	no	—
909	C₂×C₄⋊C₄	—	11	1	no	—
910	C₂×C₄⋊C₄	—	11	1	no	—
911	C₂×C₄⋊C₄	—	11	1	no	—
912	C₂×C₄⋊C₄	—	11	1	no	—
913	C₂×C₄⋊C₄	—	11	1	no	—
914	C₂×C₄⋊C₄	—	11	1	no	—
915	C₂×C₄⋊C₄	—	11	1	no	—
916	C₂×C₄⋊C₄	—	44	2	no	—
917	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	—	11	1	no	—
925	C₂×C₂²⋊C₄	—	11	1	no	—
926	C₂×C₂²⋊C₄	—	11	1	no	—
927	C₂×C₂²⋊C₄	—	11	1	no	—
928	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
932	C₂×C₄²	—	11	1	no	—
933	C₂×C₄²	—	11	1	no	—
934	C₂×C₄²	—	11	1	no	—
935	C₂×C₄²	—	11	1	no	—
936	C₂×C₄²	—	11	1	no	—
937	C₂×C₄²	—	11	1	no	—
938	C₂×C₄²	—	11	1	no	—
939	C₂×C₄²	—	11	1	no	—
940	C₂×C₄²	—	11	1	no	—
941	C₂×C₄²	—	11	1	no	—
942	C₂×C₄²	—	11	1	no	—
943	C₂×C₄²	—	11	1	no	—
944	C₂×C₄²	—	11	1	no	—
945	C₂×C₄²	—	11	1	no	—
946	C₂×C₄²	—	11	1	no	—
947	C₂×C₄²	—	11	1	no	—
948	C₂×C₄²	—	11	1	no	—
949	C₂×C₄²	—	11	1	no	—
950	C₂×C₄²	—	11	1	no	—
951	C₂×C₄²	—	11	1	no	—
952	C₂×C₄²	—	11	1	no	—
953	C₂×C₄²	—	11	1	no	—
954	C₂×C₄²	—	44	2	no	—
955	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
956	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
958	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
959	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
960	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
961	#95	—	11	1	no	—
962	#95	—	11	1	no	—
963	#95	—	11	1	no	—
964	#95	—	11	1	no	—
965	#95	—	11	1	no	—
966	#95	—	11	1	no	—
967	#95	—	11	1	no	—
968	#95	—	11	1	no	—
969	#95	—	11	1	no	—
970	#95	—	11	1	no	—
971	#95	—	11	1	no	—
972	#95	—	11	1	no	—
973	#95	—	11	1	no	—
974	#95	—	11	1	no	—
975	#95	—	11	1	no	—
976	#95	—	11	1	no	—
977	#95	—	11	1	no	—
978	#95	—	11	1	no	—
979	#95	—	11	1	no	—
980	#95	—	11	1	no	—
981	#95	—	11	1	no	—
982	#95	—	11	1	no	—
983	#95	—	11	1	no	—
984	#95	—	11	1	no	—
985	#95	—	11	1	no	—
986	#95	—	11	1	no	—
987	#95	—	11	1	no	—
988	#95	—	11	1	no	—
989	#95	—	11	1	no	—
990	#95	—	11	1	no	—
991	#95	—	11	1	no	—
992	#95	—	11	1	no	—
993	#95	—	11	1	no	—
994	#95	—	11	1	no	—
995	#95	—	11	1	no	—
996	#95	—	11	1	no	—
997	#95	—	11	1	no	—
998	#95	—	11	1	no	—
999	#95	—	11	1	no	—
1000	#95	—	11	1	no	—
1001	#95	—	11	1	no	—
1002	#95	—	11	1	no	—
1003	#95	—	11	1	no	—
1004	#95	—	11	1	no	—
1005	#95	—	11	1	no	—
1006	#95	—	11	1	no	—
1007	#95	—	11	1	no	—
1008	#95	—	11	1	no	—
1009	#95	—	11	1	no	—
1010	#95	—	11	1	no	—
1011	#95	C₂²×D₁₁	1	1	yes	characteristic
1012	#95	C₂²×D₁₁	1	1	yes	characteristic
1013	#95	C₂²×D₁₁	1	1	yes	characteristic
1014	#95	C₂²×D₁₁	1	1	yes	characteristic
1015	#95	C₂²×D₁₁	1	1	yes	characteristic
1016	#95	C₂²×D₁₁	1	1	yes	characteristic
1017	#95	C₂²×D₁₁	1	1	yes	characteristic
1018	#95	C₂²×D₁₁	1	1	yes	characteristic
1019	#95	C₂²×D₁₁	1	1	yes	characteristic
1020	#95	C₂²×D₁₁	1	1	yes	characteristic
1021	#95	C₂²×D₁₁	1	1	yes	characteristic
1022	#95	C₂²×D₁₁	1	1	yes	characteristic
1023	#95	C₂²×D₁₁	1	1	yes	characteristic
1024	#95	C₂²×D₁₁	1	1	yes	characteristic
1025	C₂×C₁₁	—	2	4	no	—
1026	C₂×C₁₁	C₂×#519	1	1	yes	characteristic
1027	C₂×C₁₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1028	C₂×C₁₁	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1029	C₂×C₁₁	#3535	1	1	yes	characteristic
1030	C₂×C₁₁	#3538	1	1	yes	characteristic
1031	C₂×C₁₁	#3563	1	1	yes	characteristic
1032	C₂×C₁₁	#3564	1	1	yes	characteristic
1033	C₂⁴	C₂³×D₁₁	1	1	yes	characteristic
1034	C₂×Q₈	—	4	1	no	—
1035	C₂×Q₈	—	4	1	no	—
1036	C₂×Q₈	—	11	4	no	—
1037	C₂×Q₈	—	11	4	no	—
1038	C₂×Q₈	—	11	4	no	—
1039	C₂×Q₈	—	44	1	no	—
1040	C₂×Q₈	—	44	1	no	—
1041	C₂×Q₈	—	44	1	no	—
1042	C₂×Q₈	—	44	1	no	—
1043	C₂×Q₈	—	44	1	no	—
1044	C₂×Q₈	—	44	1	no	—
1045	C₂×Q₈	C₂×C₄×D₁₁	1	4	yes	—
1046	C₂²×C₄	—	2	2	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	2	no	—
1049	C₂²×C₄	—	4	1	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	4	1	no	—
1053	C₂²×C₄	—	4	1	no	—
1054	C₂²×C₄	—	11	4	no	—
1055	C₂²×C₄	—	11	1	no	—
1056	C₂²×C₄	—	11	1	no	—
1057	C₂²×C₄	—	11	1	no	—
1058	C₂²×C₄	—	11	1	no	—
1059	C₂²×C₄	—	11	1	no	—
1060	C₂²×C₄	—	11	1	no	—
1061	C₂²×C₄	—	11	1	no	—
1062	C₂²×C₄	—	11	1	no	—
1063	C₂²×C₄	—	11	1	no	—
1064	C₂²×C₄	—	11	4	no	—
1065	C₂²×C₄	—	11	1	no	—
1066	C₂²×C₄	—	11	1	no	—
1067	C₂²×C₄	—	11	1	no	—
1068	C₂²×C₄	—	11	1	no	—
1069	C₂²×C₄	—	11	1	no	—
1070	C₂²×C₄	—	11	1	no	—
1071	C₂²×C₄	—	11	1	no	—
1072	C₂²×C₄	—	22	2	no	—
1073	C₂²×C₄	—	22	2	no	—
1074	C₂²×C₄	—	22	2	no	—
1075	C₂²×C₄	—	22	2	no	—
1076	C₂²×C₄	—	22	2	no	—
1077	C₂²×C₄	—	44	1	no	—
1078	C₂²×C₄	—	44	1	no	—
1079	C₂²×C₄	—	44	1	no	—
1080	C₂²×C₄	—	44	1	no	—
1081	C₂²×C₄	—	44	1	no	—
1082	C₂²×C₄	C₂×C₄×D₁₁	1	4	yes	—
1083	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1092	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1093	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1094	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1095	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1096	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	4	1	no	—
1099	C₄⋊C₄	—	4	1	no	—
1100	C₄⋊C₄	—	4	1	no	—
1101	C₄⋊C₄	—	11	4	no	—
1102	C₄⋊C₄	—	11	4	no	—
1103	C₄⋊C₄	—	11	4	no	—
1104	C₄⋊C₄	—	11	4	no	—
1105	C₄⋊C₄	—	11	4	no	—
1106	C₄⋊C₄	—	11	4	no	—
1107	C₄⋊C₄	—	11	4	no	—
1108	C₄⋊C₄	—	11	4	no	—
1109	C₄⋊C₄	—	11	4	no	—
1110	C₄⋊C₄	—	11	4	no	—
1111	C₄⋊C₄	—	11	4	no	—
1112	C₄⋊C₄	—	11	4	no	—
1113	C₄⋊C₄	—	11	4	no	—
1114	C₄⋊C₄	—	11	4	no	—
1115	C₄⋊C₄	—	11	4	no	—
1116	C₄⋊C₄	—	11	4	no	—
1117	C₄⋊C₄	—	11	4	no	—
1118	C₄⋊C₄	—	22	2	no	—
1119	C₄⋊C₄	—	22	2	no	—
1120	C₄⋊C₄	—	22	2	no	—
1121	C₄⋊C₄	—	22	2	no	—
1122	C₄⋊C₄	—	22	2	no	—
1123	C₄⋊C₄	—	44	1	no	—
1124	C₄⋊C₄	—	44	1	no	—
1125	C₄⋊C₄	—	44	1	no	—
1126	C₄⋊C₄	—	44	1	no	—
1127	C₄⋊C₄	—	44	1	no	—
1128	C₄⋊C₄	—	44	1	no	—
1129	C₄⋊C₄	—	44	1	no	—
1130	C₄⋊C₄	—	44	1	no	—
1131	C₄⋊C₄	—	44	1	no	—
1132	C₄⋊C₄	—	44	1	no	—
1133	C₄⋊C₄	—	44	1	no	—
1134	C₄⋊C₄	—	44	1	no	—
1135	C₄⋊C₄	—	44	1	no	—
1136	C₄⋊C₄	—	44	1	no	—
1137	C₄⋊C₄	—	44	1	no	—
1138	C₄⋊C₄	C₂×C₄×D₁₁	1	4	yes	—
1139	C₄⋊C₄	C₂×C₄×D₁₁	1	4	yes	—
1140	C₄⋊C₄	C₂×C₄×D₁₁	1	4	yes	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	2	2	no	—
1143	C₂²⋊C₄	—	11	4	no	—
1144	C₂²⋊C₄	—	11	4	no	—
1145	C₂²⋊C₄	—	22	2	no	—
1146	C₂²⋊C₄	—	22	2	no	—
1147	C₂²⋊C₄	C₂×C₄×D₁₁	1	4	yes	—
1148	C₂²⋊C₄	C₂×C₄×D₁₁	1	4	yes	—
1149	C₄²	—	2	2	no	—
1150	C₄²	—	4	1	no	—
1151	C₄²	—	4	1	no	—
1152	C₄²	—	4	1	no	—
1153	C₄²	—	4	1	no	—
1154	C₄²	—	4	1	no	—
1155	C₄²	—	11	4	no	—
1156	C₄²	—	11	4	no	—
1157	C₄²	—	11	4	no	—
1158	C₄²	—	11	4	no	—
1159	C₄²	—	22	2	no	—
1160	C₄²	—	22	2	no	—
1161	C₄²	—	22	2	no	—
1162	C₄²	—	22	2	no	—
1163	C₄²	—	22	2	no	—
1164	C₄²	—	44	1	no	—
1165	C₄²	—	44	1	no	—
1166	C₄²	—	44	1	no	—
1167	C₄²	—	44	1	no	—
1168	C₄²	—	44	1	no	—
1169	C₄²	—	44	1	no	—
1170	C₄²	—	44	1	no	—
1171	C₄²	—	44	1	no	—
1172	C₄²	—	44	1	no	—
1173	C₄²	—	44	1	no	—
1174	C₄²	—	44	1	no	—
1175	C₄²	—	44	1	no	—
1176	C₄²	—	44	1	no	—
1177	C₁₁	#34432	1	1	yes	characteristic, complemented, Sylow
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	C₂²×C₄×D₁₁	1	2	yes	—
1183	C₂³	#67040	1	2	yes	—
1184	C₂³	#67043	1	2	yes	—
1185	C₂³	C₂⁴×D₁₁	1	1	yes	characteristic
1186	Q₈	—	4	4	no	—
1187	Q₈	—	44	4	no	—
1188	Q₈	—	44	4	no	—
1189	Q₈	—	44	4	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	4	4	no	—
1226	C₂×C₄	—	4	4	no	—
1227	C₂×C₄	—	8	2	no	—
1228	C₂×C₄	—	11	2	no	—
1229	C₂×C₄	—	11	2	no	—
1230	C₂×C₄	—	11	2	no	—
1231	C₂×C₄	—	11	2	no	—
1232	C₂×C₄	—	11	2	no	—
1233	C₂×C₄	—	11	2	no	—
1234	C₂×C₄	—	11	2	no	—
1235	C₂×C₄	—	11	2	no	—
1236	C₂×C₄	—	11	2	no	—
1237	C₂×C₄	—	22	8	no	—
1238	C₂×C₄	—	22	1	no	—
1239	C₂×C₄	—	22	1	no	—
1240	C₂×C₄	—	22	1	no	—
1241	C₂×C₄	—	22	1	no	—
1242	C₂×C₄	—	22	1	no	—
1243	C₂×C₄	—	22	1	no	—
1244	C₂×C₄	—	22	1	no	—
1245	C₂×C₄	—	22	1	no	—
1246	C₂×C₄	—	22	1	no	—
1247	C₂×C₄	—	22	1	no	—
1248	C₂×C₄	—	22	1	no	—
1249	C₂×C₄	—	22	1	no	—
1250	C₂×C₄	—	22	1	no	—
1251	C₂×C₄	—	22	1	no	—
1252	C₂×C₄	—	22	1	no	—
1253	C₂×C₄	—	22	1	no	—
1254	C₂×C₄	—	22	1	no	—
1255	C₂×C₄	—	22	1	no	—
1256	C₂×C₄	—	22	1	no	—
1257	C₂×C₄	—	22	1	no	—
1258	C₂×C₄	—	22	1	no	—
1259	C₂×C₄	—	22	1	no	—
1260	C₂×C₄	—	22	1	no	—
1261	C₂×C₄	—	22	1	no	—
1262	C₂×C₄	—	22	1	no	—
1263	C₂×C₄	—	22	1	no	—
1264	C₂×C₄	—	22	1	no	—
1265	C₂×C₄	—	22	1	no	—
1266	C₂×C₄	—	22	1	no	—
1267	C₂×C₄	—	22	1	no	—
1268	C₂×C₄	—	22	1	no	—
1269	C₂×C₄	—	22	1	no	—
1270	C₂×C₄	—	22	1	no	—
1271	C₂×C₄	—	22	1	no	—
1272	C₂×C₄	—	22	1	no	—
1273	C₂×C₄	—	22	1	no	—
1274	C₂×C₄	—	22	1	no	—
1275	C₂×C₄	—	22	1	no	—
1276	C₂×C₄	—	22	1	no	—
1277	C₂×C₄	—	44	4	no	—
1278	C₂×C₄	—	44	4	no	—
1279	C₂×C₄	—	88	2	no	—
1280	C₂×C₄	C₂²×C₄×D₁₁	1	2	yes	—
1281	C₂×C₄	C₂²×C₄×D₁₁	1	2	yes	—
1282	C₂×C₄	C₂²×C₄×D₁₁	1	2	yes	—
1283	C₂×C₄	C₂²×C₄×D₁₁	1	2	yes	—
1284	C₂×C₄	C₂²×C₄×D₁₁	1	2	yes	—
1285	C₂×C₄	C₂²×C₄×D₁₁	1	2	yes	—
1286	C₂×C₄	#67043	1	2	yes	—
1287	C₂²	—	2	2	no	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	2	no	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	#10623103	1	4	yes	—
1294	C₂²	C₂³×C₄×D₁₁	1	1	yes	characteristic
1295	C₂²	C₂×#67040	1	1	yes	characteristic
1296	C₂²	C₂×#67043	1	1	yes	characteristic
1297	C₂²	C₂×#67043	1	1	yes	characteristic
1298	C₂²	#10623453	1	1	yes	characteristic
1299	C₂²	D₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1300	C₂²	#10623455	1	1	yes	characteristic
1301	C₄	—	2	2	no	—
1302	C₄	—	2	2	no	—
1303	C₄	—	2	2	no	—
1304	C₄	—	2	2	no	—
1305	C₄	—	2	2	no	—
1306	C₄	—	2	2	no	—
1307	C₄	—	2	2	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	1	no	—
1315	C₄	—	22	2	no	—
1316	C₄	—	22	2	no	—
1317	C₄	—	22	2	no	—
1318	C₄	—	22	2	no	—
1319	C₄	—	22	2	no	—
1320	C₄	—	22	2	no	—
1321	C₄	—	22	2	no	—
1322	C₄	—	22	2	no	—
1323	C₄	—	22	2	no	—
1324	C₄	—	44	1	no	—
1325	C₄	—	44	1	no	—
1326	C₄	—	44	1	no	—
1327	C₄	—	44	1	no	—
1328	C₄	—	44	1	no	—
1329	C₄	—	44	1	no	—
1330	C₄	—	44	1	no	—
1331	C₂	—	2	4	no	—
1332	C₂	C₂×#10623103	1	1	yes	characteristic
1333	C₂	#13081820	1	1	yes	characteristic
1334	C₂	C₄×#67043	1	1	yes	characteristic
1335	C₂	#13082820	1	1	yes	characteristic
1336	C₂	#13082856	1	1	yes	characteristic
1337	C₂	#13083220	1	1	yes	characteristic
1338	C₂	#13083228	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₁
commutator	C₂²×C₁₁	C₂⁴×C₄
Fitting	C₁₁×#2368	C₂
socle, cosocle	C₂³×C₁₁	C₂⁵
prime radical	C₂⁴×C₁₁	C₂⁴
hypercenter	#2368	D₁₁
hypocenter	C₁₁	#34432
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂³ ◁ #2368

Complements

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

N	H ≅ G/N	type
2. #13071800	C₂	semidirect
3. #13071800	C₂	semidirect
4. #13071795	C₂	semidirect
5. #13071794	C₂	semidirect
6. #13071719	C₂	semidirect
7. #13071718	C₂	semidirect
9. #13071675	C₂	semidirect
10. #13071673	C₂	semidirect
17. #13071421	C₂	semidirect
18. #13071421	C₂	semidirect
19. #13071418	C₂	semidirect
20. #13071415	C₂	semidirect
21. #13071360	C₂	semidirect
22. #13071359	C₂	semidirect
25. #13071334	C₂	semidirect
26. #13071331	C₂	semidirect
40. #10623154	C₄	semidirect
222. #66997	C₂×C₄	semidirect
223. #66997	C₂×C₄	semidirect
287. #66942	C₂×C₄	semidirect
288. #66942	C₂×C₄	semidirect
289. #66942	C₂×C₄	semidirect
290. #66942	C₂×C₄	semidirect
291. #66941	C₂×C₄	semidirect
292. #66941	C₂×C₄	semidirect
1177. C₁₁	#34432	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10623154	2
#13071800	2
#13071795	2
#13071794	2
#13071719	2
#13071718	2
#13071696	2
#13071675	2
#13071673	2
#13071625	2
#13071619	2
#13071474	2
#13071470	2
#13071421	2
#13071418	2
#13071415	2
#13071360	2
#13071359	2
#13071347	2
#13071344	2
#13071334	2
#13071331	2
#13071216	2
#13071148	2
C₄×#66931	2
C₂×#10622268	2
C₁₁×#2368	2
#34432	11