Subgroups — #14923572

Order 2816.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13073458	C₂	1	1	yes	maximal, characteristic, complemented
2	#13073451	C₂	1	1	yes	maximal, characteristic, complemented
3	#13073396	C₂	1	1	yes	maximal, characteristic, complemented
4	#13073389	C₂	1	1	yes	maximal, characteristic, complemented
5	#13073329	C₂	1	1	yes	maximal, characteristic, complemented
6	#13073322	C₂	1	1	yes	maximal, characteristic, complemented
7	#13073243	C₂	1	1	yes	maximal, characteristic, complemented
8	#13073236	C₂	1	1	yes	maximal, characteristic, complemented
9	#13073177	C₂	1	1	yes	maximal, characteristic, complemented
10	#13073118	C₂	1	1	yes	maximal, characteristic, complemented
11	#13073061	C₂	1	1	yes	maximal, characteristic, complemented
12	#13072891	C₂	1	1	yes	maximal, characteristic, complemented
13	#13072865	C₂	1	1	yes	maximal, characteristic, complemented
14	#13072745	C₂	1	1	yes	maximal, characteristic
15	#13072285	C₂	1	1	yes	maximal, characteristic, complemented
16	#13071996	C₂	1	1	yes	maximal, characteristic
17	#13071917	C₂	1	1	yes	maximal, characteristic, complemented
18	#13071879	C₂	1	1	yes	maximal, characteristic, complemented
19	#13071876	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#66951	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#67000	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#66999	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#66947	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#66935	C₂	1	1	yes	maximal, characteristic
25	#13071112	C₂	1	1	yes	maximal, characteristic, complemented
26	#13071075	C₂	1	1	yes	maximal, characteristic, complemented
27	#13071057	C₂	1	1	yes	maximal, characteristic, complemented
28	#13070995	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#66945	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₁₁	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₁×#2396	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₁₁	C₂²	1	1	yes	characteristic
33	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
35	C₂×#67000	C₂²	1	1	yes	characteristic
36	C₂×#66999	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
38	C₂×#66979	C₂²	1	1	yes	characteristic
39	C₂×#66951	C₂²	1	1	yes	characteristic
40	C₂×#66947	C₂²	1	1	yes	characteristic
41	C₂×#66945	C₂²	1	1	yes	characteristic
42	C₂×#66945	C₂²	1	1	yes	characteristic
43	C₂×#66935	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
48	C₂×#66925	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄²×D₁₁	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₁₁	C₂²	1	1	yes	characteristic
51	C₁₁×#400	C₂²	1	1	yes	characteristic, complemented
52	C₁₁×#399	C₂²	1	1	yes	characteristic
53	C₁₁×#398	C₂²	1	1	yes	characteristic, complemented
54	C₁₁×#398	C₂²	1	1	yes	characteristic, complemented
55	C₁₁×#396	C₂²	1	1	yes	characteristic
56	C₁₁×#396	C₂²	1	1	yes	characteristic
57	C₁₁×#395	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#393	C₂²	1	1	yes	characteristic
59	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
60	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
61	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
62	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
63	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
64	#10622843	C₂²	1	1	yes	characteristic, complemented
65	#10622843	C₂²	1	1	yes	characteristic, complemented
66	C₄×C₂²⋊Dic₁₁	C₂²	1	1	yes	characteristic
67	#10622607	C₂²	1	1	yes	characteristic
68	#10622606	C₂²	1	1	yes	characteristic
69	#10622606	C₂²	1	1	yes	characteristic, complemented
70	#10622605	C₂²	1	1	yes	characteristic
71	#10622604	C₂²	1	1	yes	characteristic
72	#10622603	C₂²	1	1	yes	characteristic
73	#10622603	C₂²	1	1	yes	characteristic
74	#10622603	C₂²	1	1	yes	characteristic
75	#10622603	C₂²	1	1	yes	characteristic, complemented
76	#10622603	C₂²	1	1	yes	characteristic, complemented
77	#10622603	C₂²	1	1	yes	characteristic, complemented
78	#10622603	C₂²	1	1	yes	characteristic, complemented
79	#10622603	C₂²	1	1	yes	characteristic, complemented
80	#10622603	C₂²	1	1	yes	characteristic, complemented
81	#10622603	C₂²	1	1	yes	characteristic, complemented
82	#10622602	C₂²	1	1	yes	characteristic
83	#10622602	C₂²	1	1	yes	characteristic
84	#10622602	C₂²	1	1	yes	characteristic
85	#10622602	C₂²	1	1	yes	characteristic
86	#10622602	C₂²	1	1	yes	characteristic
87	#10622601	C₂²	1	1	yes	characteristic
88	#10622600	C₂²	1	1	yes	characteristic
89	#10622600	C₂²	1	1	yes	characteristic
90	#10622600	C₂²	1	1	yes	characteristic
91	#10622600	C₂²	1	1	yes	characteristic
92	#10622600	C₂²	1	1	yes	characteristic
93	#10622599	C₂²	1	1	yes	characteristic, complemented
94	#10622597	C₂²	1	1	yes	characteristic, complemented
95	#10622595	C₂²	1	1	yes	characteristic, complemented
96	#10622594	C₂²	1	1	yes	characteristic, complemented
97	#10622594	C₂²	1	1	yes	characteristic, complemented
98	#10622591	C₂²	1	1	yes	characteristic, complemented
99	#10622591	C₂²	1	1	yes	characteristic, complemented
100	#10622591	C₂²	1	1	yes	characteristic, complemented
101	#10622590	C₂²	1	1	yes	characteristic, complemented
102	C₄⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
103	C₄⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
104	#10622586	C₂²	1	1	yes	characteristic, complemented
105	#10622585	C₂²	1	1	yes	characteristic, complemented
106	#10622585	C₂²	1	1	yes	characteristic, complemented
107	#10622574	C₂²	1	1	yes	characteristic
108	#10622574	C₂²	1	1	yes	characteristic
109	#10622571	C₂²	1	1	yes	characteristic
110	#10622570	C₂²	1	1	yes	characteristic
111	#10622570	C₂²	1	1	yes	characteristic
112	#10622568	C₂²	1	1	yes	characteristic
113	#10622568	C₂²	1	1	yes	characteristic
114	#10622568	C₂²	1	1	yes	characteristic
115	#10622566	C₂²	1	1	yes	characteristic
116	#10622566	C₂²	1	1	yes	characteristic
117	#10622563	C₂²	1	1	yes	characteristic
118	#10622558	C₂²	1	1	yes	characteristic
119	#10622558	C₂²	1	1	yes	characteristic
120	#10622558	C₂²	1	1	yes	characteristic
121	#10622558	C₂²	1	1	yes	characteristic
122	#10622557	C₂²	1	1	yes	characteristic
123	#10622557	C₂²	1	1	yes	characteristic
124	#10622556	C₂²	1	1	yes	characteristic
125	#10622556	C₂²	1	1	yes	characteristic
126	C₂²⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
127	C₂²⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
128	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
129	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
130	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
131	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
132	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
133	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
134	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
135	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
136	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
137	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
138	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
139	C₄×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic, complemented
140	C₄×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic, complemented
141	#10622545	C₂²	1	1	yes	characteristic, complemented
142	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic, complemented
143	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic, complemented
144	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic, complemented
145	C₄²×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
146	C₄²×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
147	#10622290	C₂²	1	1	yes	characteristic, complemented
148	#10622288	C₂²	1	1	yes	characteristic
149	#10622288	C₂²	1	1	yes	characteristic
150	#10622288	C₂²	1	1	yes	characteristic, complemented
151	#10622287	C₂²	1	1	yes	characteristic
152	#10622287	C₂²	1	1	yes	characteristic, complemented
153	#10622285	C₂²	1	1	yes	characteristic
154	#10622283	C₂²	1	1	yes	characteristic
155	#10622282	C₂²	1	1	yes	characteristic
156	#10622282	C₂²	1	1	yes	characteristic, complemented
157	#10622281	C₂²	1	1	yes	characteristic
158	#10622281	C₂²	1	1	yes	characteristic
159	#10622279	C₂²	1	1	yes	characteristic
160	#10622279	C₂²	1	1	yes	characteristic
161	#10622279	C₂²	1	1	yes	characteristic
162	#10622279	C₂²	1	1	yes	characteristic
163	#10622278	C₂²	1	1	yes	characteristic
164	#10622278	C₂²	1	1	yes	characteristic
165	#10622278	C₂²	1	1	yes	characteristic
166	#10622278	C₂²	1	1	yes	characteristic
167	#10622278	C₂²	1	1	yes	characteristic
168	#10622277	C₂²	1	1	yes	characteristic
169	D₁₁×#95	C₂²	1	1	yes	characteristic
170	D₁₁×#95	C₂²	1	1	yes	characteristic
171	C₁₁⋊#401	C₂²	1	1	yes	characteristic, complemented
172	#10622274	C₂²	1	1	yes	characteristic, complemented
173	#10622273	C₂²	1	1	yes	characteristic, complemented
174	#10622273	C₂²	1	1	yes	characteristic, complemented
175	#10622272	C₂²	1	1	yes	characteristic, complemented
176	#10622268	C₂²	1	1	yes	characteristic, complemented
177	#10622267	C₂²	1	1	yes	characteristic, complemented
178	#10622267	C₂²	1	1	yes	characteristic, complemented
179	#10622267	C₂²	1	1	yes	characteristic, complemented
180	#10622267	C₂²	1	1	yes	characteristic, complemented
181	#10622267	C₂²	1	1	yes	characteristic, complemented
182	#10622266	C₂²	1	1	yes	characteristic, complemented
183	#10622266	C₂²	1	1	yes	characteristic, complemented
184	#10622264	C₂²	1	1	yes	characteristic, complemented
185	#10622261	C₂²	1	1	yes	characteristic, complemented
186	#10622261	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₁	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
191	C₂³×Dic₁₁	C₂³	1	1	yes	characteristic
192	C₂²×D₄₄	C₂³	1	1	yes	characteristic
193	C₂²×D₄₄	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₁	—	2	4	no	—
195	C₂²×C₄×D₁₁	—	2	4	no	—
196	C₂²×C₄×D₁₁	—	4	2	no	—
197	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
206	C₄×Q₈×C₁₁	—	4	2	no	—
207	C₁₁×#117	—	4	2	no	—
208	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
236	#67000	—	2	4	no	—
237	#66999	—	2	4	no	—
238	C₄×C₂²⋊D₁₁	—	2	4	no	—
239	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	1	yes	characteristic
268	#66979	—	2	4	no	—
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×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
303	#66951	—	2	4	no	—
304	#66947	—	2	4	no	—
305	#66945	—	2	4	no	—
306	#66945	—	2	4	no	—
307	#66935	—	2	4	no	—
308	C₂²⋊C₄×D₁₁	—	2	4	no	—
309	C₂²⋊C₄×D₁₁	—	2	4	no	—
310	C₄×D₄₄	—	2	4	no	—
311	C₄×D₄₄	—	4	2	no	—
312	#66925	—	4	2	no	—
313	C₄²×D₁₁	—	2	4	no	—
314	C₄²×D₁₁	—	4	2	no	—
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	#34806	—	11	1	no	maximal, Sylow
364	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
365	C₂³×D₁₁	—	2	2	no	—
366	C₂³×D₁₁	—	2	2	no	—
367	C₂³×D₁₁	—	2	2	no	—
368	C₂³×D₁₁	—	2	2	no	—
369	C₂³×D₁₁	—	2	2	no	—
370	C₂³×D₁₁	—	4	1	no	—
371	C₂³×D₁₁	—	4	1	no	—
372	C₂³×D₁₁	C₂⁴	1	1	yes	characteristic
373	C₂³×D₁₁	C₂⁴	1	1	yes	characteristic
374	C₂³×D₁₁	C₂⁴	1	1	yes	characteristic
375	C₂×Q₈×C₁₁	—	2	2	no	—
376	C₂×Q₈×C₁₁	—	2	2	no	—
377	C₂×Q₈×C₁₁	—	4	1	no	—
378	C₂²×C₄×C₁₁	—	2	2	no	—
379	C₂²×C₄×C₁₁	—	2	2	no	—
380	C₂²×C₄×C₁₁	#41	1	4	yes	—
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×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
395	C₂×C₂²⋊D₁₁	—	2	2	no	—
396	C₂×C₂²⋊D₁₁	—	2	2	no	—
397	C₂×C₂²⋊D₁₁	—	4	1	no	—
398	C₂²×Dic₁₁	—	2	2	no	—
399	C₂²×Dic₁₁	—	2	2	no	—
400	C₂²×Dic₁₁	—	4	1	no	—
401	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
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	C₂×D₄₄	—	2	2	no	—
415	C₂×D₄₄	—	2	2	no	—
416	C₂×D₄₄	—	2	2	no	—
417	C₂×D₄₄	—	2	2	no	—
418	C₂×D₄₄	—	2	2	no	—
419	C₂×D₄₄	—	4	1	no	—
420	C₂×C₄×D₁₁	—	2	2	no	—
421	C₂×C₄×D₁₁	—	2	2	no	—
422	C₂×C₄×D₁₁	—	2	2	no	—
423	C₂×C₄×D₁₁	—	2	2	no	—
424	C₂×C₄×D₁₁	—	2	2	no	—
425	C₂×C₄×D₁₁	—	2	2	no	—
426	C₂×C₄×D₁₁	—	2	2	no	—
427	C₂×C₄×D₁₁	—	2	2	no	—
428	C₂×C₄×D₁₁	—	2	2	no	—
429	C₂×C₄×D₁₁	—	2	2	no	—
430	C₂×C₄×D₁₁	—	2	2	no	—
431	C₂×C₄×D₁₁	—	2	2	no	—
432	C₂×C₄×D₁₁	—	2	2	no	—
433	C₂×C₄×D₁₁	—	2	2	no	—
434	C₂×C₄×D₁₁	—	2	2	no	—
435	C₂×C₄×D₁₁	—	2	2	no	—
436	C₂×C₄×D₁₁	—	2	2	no	—
437	C₂×C₄×D₁₁	—	2	2	no	—
438	C₂×C₄×D₁₁	—	2	2	no	—
439	C₂×C₄×D₁₁	—	4	1	no	—
440	C₂×C₄×D₁₁	—	4	1	no	—
441	C₂×C₄×D₁₁	—	4	1	no	—
442	C₂×C₄×D₁₁	—	4	1	no	—
443	C₂×C₄×D₁₁	—	4	1	no	—
444	C₂×C₄×D₁₁	—	4	1	no	—
445	C₂×C₄×D₁₁	—	4	16	no	—
446	C₂×C₄×D₁₁	#41	1	4	yes	—
447	C₂×C₄×D₁₁	#41	1	4	yes	—
448	C₁₁×C₄⋊C₄	—	2	2	no	—
449	C₁₁×C₄⋊C₄	—	2	2	no	—
450	C₁₁×C₄⋊C₄	—	2	2	no	—
451	C₁₁×C₄⋊C₄	—	2	2	no	—
452	C₁₁×C₄⋊C₄	—	4	1	no	—
453	C₁₁×C₄⋊C₄	—	4	1	no	—
454	C₁₁×C₄⋊C₄	—	4	1	no	—
455	C₁₁×C₄⋊C₄	—	4	1	no	—
456	C₁₁×C₄⋊C₄	—	4	1	no	—
457	C₁₁×C₄⋊C₄	—	4	1	no	—
458	C₁₁×C₄⋊C₄	—	4	1	no	—
459	C₁₁×C₂²⋊C₄	—	2	2	no	—
460	C₁₁×C₂²⋊C₄	—	2	2	no	—
461	C₁₁×C₂²⋊C₄	—	2	2	no	—
462	C₁₁×C₂²⋊C₄	—	4	1	no	—
463	C₁₁×C₂²⋊C₄	—	4	1	no	—
464	C₁₁×C₂²⋊C₄	—	4	1	no	—
465	C₄²×C₁₁	—	2	2	no	—
466	C₄²×C₁₁	—	2	2	no	—
467	C₄²×C₁₁	—	2	2	no	—
468	C₄²×C₁₁	—	2	2	no	—
469	C₄²×C₁₁	—	2	2	no	—
470	C₄²×C₁₁	—	2	2	no	—
471	C₂²⋊Dic₁₁	—	2	2	no	—
472	C₂²⋊Dic₁₁	—	2	2	no	—
473	C₂²⋊Dic₁₁	—	2	2	no	—
474	C₂²⋊Dic₁₁	—	2	2	no	—
475	C₂²⋊Dic₁₁	—	2	2	no	—
476	(C₂×D₁₁)⋊C₄	—	2	2	no	—
477	(C₂×D₁₁)⋊C₄	—	2	2	no	—
478	(C₂×D₁₁)⋊C₄	—	2	2	no	—
479	(C₂×D₁₁)⋊C₄	—	2	2	no	—
480	(C₂×D₁₁)⋊C₄	—	2	2	no	—
481	(C₂×D₁₁)⋊C₄	—	2	2	no	—
482	(C₂×D₁₁)⋊C₄	—	2	2	no	—
483	(C₂×D₁₁)⋊C₄	—	2	2	no	—
484	(C₂×D₁₁)⋊C₄	—	2	2	no	—
485	(C₂×D₁₁)⋊C₄	—	2	2	no	—
486	(C₂×D₁₁)⋊C₄	—	2	2	no	—
487	(C₂×D₁₁)⋊C₄	—	2	2	no	—
488	(C₂×D₁₁)⋊C₄	—	2	2	no	—
489	(C₂×D₁₁)⋊C₄	—	2	2	no	—
490	(C₂×D₁₁)⋊C₄	—	2	2	no	—
491	(C₂×D₁₁)⋊C₄	—	2	2	no	—
492	(C₂×D₁₁)⋊C₄	—	2	2	no	—
493	(C₂×D₁₁)⋊C₄	—	2	2	no	—
494	(C₂×D₁₁)⋊C₄	—	2	2	no	—
495	(C₂×D₁₁)⋊C₄	—	4	1	no	—
496	(C₂×D₁₁)⋊C₄	—	4	1	no	—
497	(C₂×D₁₁)⋊C₄	—	4	1	no	—
498	(C₂×D₁₁)⋊C₄	—	4	1	no	—
499	(C₂×D₁₁)⋊C₄	—	4	1	no	—
500	(C₂×D₁₁)⋊C₄	—	4	1	no	—
501	(C₂×D₁₁)⋊C₄	—	4	1	no	—
502	(C₂×D₁₁)⋊C₄	—	4	1	no	—
503	(C₂×D₁₁)⋊C₄	#41	1	4	yes	—
504	(C₂×D₁₁)⋊C₄	#41	1	4	yes	—
505	C₄⋊Dic₁₁	—	2	2	no	—
506	C₄⋊Dic₁₁	—	2	2	no	—
507	C₄⋊Dic₁₁	—	2	2	no	—
508	C₄⋊Dic₁₁	—	2	2	no	—
509	C₄⋊Dic₁₁	—	2	2	no	—
510	C₄⋊Dic₁₁	—	2	2	no	—
511	C₄⋊Dic₁₁	—	2	2	no	—
512	C₄⋊Dic₁₁	—	4	1	no	—
513	Dic₁₁⋊C₄	—	2	2	no	—
514	Dic₁₁⋊C₄	—	2	2	no	—
515	Dic₁₁⋊C₄	—	2	2	no	—
516	Dic₁₁⋊C₄	—	2	2	no	—
517	Dic₁₁⋊C₄	—	2	2	no	—
518	Dic₁₁⋊C₄	—	4	1	no	—
519	Dic₁₁⋊C₄	—	4	1	no	—
520	Dic₁₁⋊C₄	—	4	1	no	—
521	Dic₁₁⋊C₄	—	4	1	no	—
522	C₄×Dic₁₁	—	2	2	no	—
523	C₄×Dic₁₁	—	2	2	no	—
524	C₄×Dic₁₁	—	2	2	no	—
525	C₄×Dic₁₁	—	2	2	no	—
526	C₄×Dic₁₁	—	2	2	no	—
527	C₄×Dic₁₁	—	2	2	no	—
528	C₄×Dic₁₁	—	2	2	no	—
529	C₄×Dic₁₁	—	2	2	no	—
530	C₄×Dic₁₁	—	2	2	no	—
531	C₄×Dic₁₁	—	2	2	no	—
532	C₄×Dic₁₁	—	2	2	no	—
533	C₄×Dic₁₁	—	2	2	no	—
534	C₄×Dic₁₁	—	2	2	no	—
535	C₄×Dic₁₁	—	4	1	no	—
536	C₄×Dic₁₁	—	4	1	no	—
537	C₄×Dic₁₁	—	4	1	no	—
538	C₄×Dic₁₁	—	4	1	no	—
539	#2531	—	11	1	no	—
540	#2530	—	11	1	no	—
541	#2527	—	11	1	no	—
542	#2526	—	11	1	no	—
543	#2522	—	11	1	no	—
544	#2521	—	11	1	no	—
545	#2516	—	11	1	no	—
546	#2515	—	11	1	no	—
547	#2510	—	11	1	no	—
548	#2505	—	11	1	no	—
549	#2498	—	11	1	no	—
550	#2482	—	11	1	no	—
551	#2480	—	11	1	no	—
552	#2472	—	11	1	no	—
553	#2438	—	11	1	no	—
554	#2411	—	11	1	no	—
555	#2401	—	11	1	no	—
556	#2396	D₁₁	1	1	yes	characteristic, complemented
557	#2395	—	11	1	no	—
558	#2395	—	11	1	no	—
559	C₄×#126	—	11	1	no	—
560	C₄×#124	—	11	1	no	—
561	C₄×C₂²⋊Q₈	—	11	1	no	—
562	C₄×#123	—	11	1	no	—
563	C₄×#120	—	11	1	no	—
564	#2298	—	11	1	no	—
565	#2293	—	11	1	no	—
566	#2290	—	11	1	no	—
567	#2280	—	11	1	no	—
568	C₄×#117	—	11	1	no	—
569	C₂×C₄×C₂²⋊C₄	—	11	1	no	—
570	C₂³×C₁₁	—	2	1	no	—
571	C₂³×C₁₁	—	2	1	no	—
572	C₂³×C₁₁	—	2	1	no	—
573	C₂³×C₁₁	—	2	1	no	—
574	C₂³×C₁₁	—	2	1	no	—
575	C₂³×C₁₁	—	2	1	no	—
576	C₂³×C₁₁	C₂×#41	1	2	yes	—
577	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
578	C₂²×D₁₁	—	2	1	no	—
579	C₂²×D₁₁	—	2	1	no	—
580	C₂²×D₁₁	—	2	1	no	—
581	C₂²×D₁₁	—	2	1	no	—
582	C₂²×D₁₁	—	2	8	no	—
583	C₂²×D₁₁	—	2	1	no	—
584	C₂²×D₁₁	—	2	1	no	—
585	C₂²×D₁₁	—	2	1	no	—
586	C₂²×D₁₁	—	2	1	no	—
587	C₂²×D₁₁	—	2	1	no	—
588	C₂²×D₁₁	—	2	1	no	—
589	C₂²×D₁₁	—	2	1	no	—
590	C₂²×D₁₁	—	2	1	no	—
591	C₂²×D₁₁	—	2	1	no	—
592	C₂²×D₁₁	—	2	1	no	—
593	C₂²×D₁₁	—	2	1	no	—
594	C₂²×D₁₁	—	2	1	no	—
595	C₂²×D₁₁	—	2	1	no	—
596	C₂²×D₁₁	—	4	4	no	—
597	C₂²×D₁₁	—	4	4	no	—
598	C₂²×D₁₁	—	4	4	no	—
599	C₂²×D₁₁	—	4	4	no	—
600	C₂²×D₁₁	—	4	4	no	—
601	C₂²×D₁₁	—	4	4	no	—
602	C₂²×D₁₁	C₂×#41	1	2	yes	—
603	C₂²×D₁₁	C₂×#41	1	2	yes	—
604	C₂²×D₁₁	C₂×#41	1	2	yes	—
605	C₂²×D₁₁	C₂×#41	1	2	yes	—
606	Q₈×C₁₁	—	4	4	no	—
607	C₂×C₄×C₁₁	—	2	1	no	—
608	C₂×C₄×C₁₁	—	2	1	no	—
609	C₂×C₄×C₁₁	—	2	1	no	—
610	C₂×C₄×C₁₁	—	2	1	no	—
611	C₂×C₄×C₁₁	—	2	1	no	—
612	C₂×C₄×C₁₁	—	2	1	no	—
613	C₂×C₄×C₁₁	—	2	1	no	—
614	C₂×C₄×C₁₁	—	2	1	no	—
615	C₂×C₄×C₁₁	—	2	8	no	—
616	C₂×C₄×C₁₁	—	2	1	no	—
617	C₂×C₄×C₁₁	—	2	1	no	—
618	C₂×C₄×C₁₁	—	2	1	no	—
619	C₂×C₄×C₁₁	—	2	1	no	—
620	C₂×C₄×C₁₁	—	2	1	no	—
621	C₂×C₄×C₁₁	—	2	1	no	—
622	C₂×C₄×C₁₁	—	2	1	no	—
623	C₂×C₄×C₁₁	—	2	1	no	—
624	C₂×C₄×C₁₁	—	2	1	no	—
625	C₂×C₄×C₁₁	—	2	1	no	—
626	C₂×C₄×C₁₁	—	2	1	no	—
627	C₂×C₄×C₁₁	—	2	1	no	—
628	C₂×C₄×C₁₁	—	2	1	no	—
629	C₂×C₄×C₁₁	—	2	1	no	—
630	C₂×C₄×C₁₁	—	2	1	no	—
631	C₂×C₄×C₁₁	—	2	1	no	—
632	C₂×C₄×C₁₁	—	2	1	no	—
633	C₂×C₄×C₁₁	—	2	1	no	—
634	C₂×C₄×C₁₁	—	2	1	no	—
635	C₂×C₄×C₁₁	—	2	1	no	—
636	C₂×C₄×C₁₁	—	2	1	no	—
637	C₂×C₄×C₁₁	—	2	1	no	—
638	C₂×C₄×C₁₁	—	2	1	no	—
639	C₂×C₄×C₁₁	—	2	1	no	—
640	C₂×C₄×C₁₁	—	2	1	no	—
641	C₂×C₄×C₁₁	—	2	1	no	—
642	C₂×C₄×C₁₁	—	2	1	no	—
643	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
644	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
645	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
646	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
647	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
648	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
649	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
650	C₂²⋊D₁₁	—	4	4	no	—
651	C₂×Dic₁₁	—	2	1	no	—
652	C₂×Dic₁₁	—	2	1	no	—
653	C₂×Dic₁₁	—	2	1	no	—
654	C₂×Dic₁₁	—	2	1	no	—
655	C₂×Dic₁₁	—	2	1	no	—
656	C₂×Dic₁₁	—	2	1	no	—
657	C₂×Dic₁₁	—	2	1	no	—
658	C₂×Dic₁₁	—	2	1	no	—
659	C₂×Dic₁₁	—	2	1	no	—
660	C₂×Dic₁₁	—	2	1	no	—
661	C₂×Dic₁₁	—	2	1	no	—
662	C₂×Dic₁₁	—	2	1	no	—
663	C₂×Dic₁₁	—	2	1	no	—
664	C₂×Dic₁₁	—	2	1	no	—
665	C₂×Dic₁₁	—	2	1	no	—
666	C₂×Dic₁₁	—	2	1	no	—
667	C₂×Dic₁₁	—	2	1	no	—
668	C₂×Dic₁₁	—	2	1	no	—
669	C₂×Dic₁₁	—	2	1	no	—
670	C₂×Dic₁₁	—	2	1	no	—
671	C₂×Dic₁₁	—	2	1	no	—
672	C₂×Dic₁₁	—	2	1	no	—
673	C₂×Dic₁₁	—	2	1	no	—
674	C₂×Dic₁₁	—	2	1	no	—
675	C₂×Dic₁₁	—	2	1	no	—
676	C₂×Dic₁₁	—	2	1	no	—
677	C₂×Dic₁₁	—	2	1	no	—
678	C₂×Dic₁₁	—	2	1	no	—
679	C₂×Dic₁₁	—	2	1	no	—
680	C₂×Dic₁₁	—	2	1	no	—
681	C₂×Dic₁₁	—	2	1	no	—
682	C₂×Dic₁₁	—	2	1	no	—
683	C₂×Dic₁₁	—	2	1	no	—
684	C₂×Dic₁₁	—	2	1	no	—
685	C₂×Dic₁₁	—	2	1	no	—
686	C₂×Dic₁₁	—	4	4	no	—
687	C₂×Dic₁₁	C₂×#41	1	2	yes	—
688	C₂×Dic₁₁	C₂×#41	1	2	yes	—
689	C₂×Dic₁₁	C₂×#41	1	2	yes	—
690	C₂×Dic₁₁	C₂×#41	1	2	yes	—
691	D₄₄	—	4	4	no	—
692	D₄₄	—	4	4	no	—
693	C₄×D₁₁	—	2	8	no	—
694	C₄×D₁₁	—	2	8	no	—
695	C₄×D₁₁	—	4	4	no	—
696	C₄×D₁₁	—	4	4	no	—
697	C₄×D₁₁	—	4	4	no	—
698	C₄×D₁₁	—	4	4	no	—
699	C₄×D₁₁	—	4	4	no	—
700	C₄×D₁₁	—	4	4	no	—
701	C₄×D₁₁	—	4	4	no	—
702	C₂⁴×C₄	—	11	1	no	—
703	C₂×#126	—	11	1	no	—
704	C₂×#124	—	11	1	no	—
705	C₂×#123	—	11	1	no	—
706	C₂×C₂²⋊Q₈	—	11	1	no	—
707	C₂×#120	—	11	1	no	—
708	C₂×C₄×Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
709	C₂×C₄×D₄	—	11	1	no	—
710	C₂×C₄×D₄	—	11	1	no	—
711	C₂×C₄×D₄	—	11	1	no	—
712	C₂×#117	—	11	1	no	—
713	C₂×#117	—	11	1	no	—
714	C₂×#117	—	11	1	no	—
715	C₂×#117	—	11	1	no	—
716	C₂×#117	C₂×D₁₁	1	1	yes	characteristic
717	C₂²×C₂²⋊C₄	—	11	1	no	—
718	C₂²×C₂²⋊C₄	—	11	1	no	—
719	C₂²×C₄²	—	11	1	no	—
720	C₂²×C₄²	—	11	1	no	—
721	#401	—	11	1	no	—
722	#400	—	11	1	no	—
723	#400	—	11	1	no	—
724	#400	—	11	1	no	—
725	#400	—	11	1	no	—
726	#400	—	11	1	no	—
727	#400	C₂×D₁₁	1	1	yes	characteristic, complemented
728	#399	—	11	1	no	—
729	#399	—	11	1	no	—
730	#399	C₂×D₁₁	1	1	yes	characteristic
731	#398	—	11	1	no	—
732	#398	—	11	1	no	—
733	#398	C₂×D₁₁	1	1	yes	characteristic, complemented
734	#398	C₂×D₁₁	1	1	yes	characteristic, complemented
735	#397	—	11	1	no	—
736	#397	—	11	1	no	—
737	#397	—	11	1	no	—
738	#397	—	11	1	no	—
739	#397	—	11	1	no	—
740	#397	—	11	1	no	—
741	#397	—	11	1	no	—
742	#397	—	11	1	no	—
743	#397	—	11	1	no	—
744	#396	—	11	1	no	—
745	#396	C₂×D₁₁	1	1	yes	characteristic
746	#396	C₂×D₁₁	1	1	yes	characteristic
747	#395	C₂×D₁₁	1	1	yes	characteristic, complemented
748	#394	—	11	1	no	—
749	#394	—	11	1	no	—
750	#394	—	11	1	no	—
751	#394	—	11	1	no	—
752	#393	C₂×D₁₁	1	1	yes	characteristic
753	#391	—	11	1	no	—
754	#391	—	11	1	no	—
755	#390	—	11	1	no	—
756	#390	—	11	1	no	—
757	#390	—	11	1	no	—
758	#389	—	11	1	no	—
759	#389	—	11	1	no	—
760	#389	—	11	1	no	—
761	#388	—	11	1	no	—
762	#388	—	11	1	no	—
763	#388	—	11	1	no	—
764	#388	—	11	1	no	—
765	#388	—	11	1	no	—
766	#388	—	11	1	no	—
767	#388	—	11	1	no	—
768	#388	—	11	1	no	—
769	#388	—	11	1	no	—
770	#388	—	11	1	no	—
771	#388	—	11	1	no	—
772	#388	—	11	1	no	—
773	#388	—	11	1	no	—
774	#388	—	11	1	no	—
775	#388	—	11	1	no	—
776	#388	—	11	1	no	—
777	#388	—	11	1	no	—
778	#388	—	11	1	no	—
779	#388	—	11	1	no	—
780	#387	—	11	1	no	—
781	#387	—	11	1	no	—
782	#387	—	11	1	no	—
783	#387	—	11	1	no	—
784	#387	—	11	1	no	—
785	#387	—	11	1	no	—
786	#387	—	11	1	no	—
787	#387	—	11	1	no	—
788	#387	—	11	1	no	—
789	#387	—	11	1	no	—
790	#387	—	11	1	no	—
791	#387	—	11	1	no	—
792	#387	—	11	1	no	—
793	#386	—	11	1	no	—
794	#386	—	11	1	no	—
795	#386	—	11	1	no	—
796	#386	—	11	1	no	—
797	#386	—	11	1	no	—
798	#386	—	11	1	no	—
799	#385	—	11	1	no	—
800	#385	—	11	1	no	—
801	#385	—	11	1	no	—
802	#385	—	11	1	no	—
803	#385	—	11	1	no	—
804	#385	—	11	1	no	—
805	#385	—	11	1	no	—
806	#385	—	11	1	no	—
807	#383	—	11	1	no	—
808	#382	—	11	1	no	—
809	#381	—	11	1	no	—
810	#381	—	11	1	no	—
811	#381	—	11	1	no	—
812	#380	—	11	1	no	—
813	#380	—	11	1	no	—
814	#380	—	11	1	no	—
815	#380	—	11	1	no	—
816	#380	—	11	1	no	—
817	#379	—	11	1	no	—
818	#379	—	11	1	no	—
819	#379	—	11	1	no	—
820	C₄×C₄⋊C₄	—	11	1	no	—
821	C₄×C₄⋊C₄	—	11	1	no	—
822	C₄×C₄⋊C₄	—	11	1	no	—
823	C₄×C₄⋊C₄	—	11	1	no	—
824	C₄×C₄⋊C₄	—	11	1	no	—
825	C₄×C₄⋊C₄	—	11	1	no	—
826	C₄×C₄⋊C₄	—	11	1	no	—
827	C₄×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic, complemented
828	C₄×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic, complemented
829	C₄×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic, complemented
830	C₄×C₂²⋊C₄	—	11	1	no	—
831	C₄×C₂²⋊C₄	—	11	1	no	—
832	C₄×C₂²⋊C₄	—	11	1	no	—
833	C₄×C₂²⋊C₄	—	11	1	no	—
834	C₄×C₂²⋊C₄	—	11	1	no	—
835	C₄×C₂²⋊C₄	—	11	1	no	—
836	C₄×C₂²⋊C₄	—	11	1	no	—
837	C₄×C₂²⋊C₄	—	11	1	no	—
838	C₄×C₂²⋊C₄	—	11	1	no	—
839	C₄×C₂²⋊C₄	—	11	1	no	—
840	C₄×C₂²⋊C₄	—	11	1	no	—
841	C₄×C₂²⋊C₄	—	11	1	no	—
842	C₄×C₂²⋊C₄	—	11	1	no	—
843	C₄×C₂²⋊C₄	—	11	1	no	—
844	C₄×C₂²⋊C₄	—	11	1	no	—
845	C₄×C₂²⋊C₄	—	11	1	no	—
846	C₄×C₂²⋊C₄	—	11	1	no	—
847	C₄×C₂²⋊C₄	—	11	1	no	—
848	C₄×C₂²⋊C₄	C₂×D₁₁	1	1	yes	characteristic
849	C₄×C₂²⋊C₄	C₂×D₁₁	1	1	yes	characteristic
850	#376	—	11	1	no	—
851	#376	—	11	1	no	—
852	#376	—	11	1	no	—
853	C₂×#95	—	11	1	no	—
854	C₂×#95	—	11	1	no	—
855	C₄³	—	11	1	no	—
856	C₄³	—	11	1	no	—
857	C₂²×C₁₁	—	2	2	no	—
858	C₂²×C₁₁	—	2	2	no	—
859	C₂²×C₁₁	—	2	2	no	—
860	C₂²×C₁₁	—	4	1	no	—
861	C₂²×C₁₁	—	4	1	no	—
862	C₂²×C₁₁	—	4	1	no	—
863	C₂²×C₁₁	—	4	1	no	—
864	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
865	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
866	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
867	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
868	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
869	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
870	C₂²×C₁₁	#585	1	1	yes	characteristic
871	C₂×D₁₁	—	2	2	no	—
872	C₂×D₁₁	—	2	2	no	—
873	C₂×D₁₁	—	2	2	no	—
874	C₂×D₁₁	—	2	2	no	—
875	C₂×D₁₁	—	2	2	no	—
876	C₂×D₁₁	—	2	2	no	—
877	C₂×D₁₁	—	2	2	no	—
878	C₂×D₁₁	—	2	2	no	—
879	C₂×D₁₁	—	2	2	no	—
880	C₂×D₁₁	—	4	16	no	—
881	C₂×D₁₁	—	4	1	no	—
882	C₂×D₁₁	—	4	1	no	—
883	C₂×D₁₁	—	4	1	no	—
884	C₂×D₁₁	—	4	1	no	—
885	C₂×D₁₁	—	4	1	no	—
886	C₂×D₁₁	—	4	1	no	—
887	C₂×D₁₁	—	4	1	no	—
888	C₂×D₁₁	—	4	1	no	—
889	C₂×D₁₁	—	4	1	no	—
890	C₂×D₁₁	—	4	1	no	—
891	C₂×D₁₁	—	4	1	no	—
892	C₂×D₁₁	#529	1	4	yes	—
893	C₄×C₁₁	—	2	2	no	—
894	C₄×C₁₁	—	2	2	no	—
895	C₄×C₁₁	—	2	2	no	—
896	C₄×C₁₁	—	2	2	no	—
897	C₄×C₁₁	—	4	1	no	—
898	C₄×C₁₁	—	4	1	no	—
899	C₄×C₁₁	—	4	1	no	—
900	C₄×C₁₁	—	4	1	no	—
901	C₄×C₁₁	—	4	1	no	—
902	C₄×C₁₁	—	4	1	no	—
903	C₄×C₁₁	—	4	1	no	—
904	C₄×C₁₁	—	4	1	no	—
905	C₄×C₁₁	—	4	1	no	—
906	C₄×C₁₁	#551	1	4	yes	—
907	Dic₁₁	—	2	2	no	—
908	Dic₁₁	—	2	2	no	—
909	Dic₁₁	—	2	2	no	—
910	Dic₁₁	—	2	2	no	—
911	Dic₁₁	—	4	1	no	—
912	Dic₁₁	—	4	1	no	—
913	Dic₁₁	—	4	1	no	—
914	Dic₁₁	—	4	1	no	—
915	Dic₁₁	—	4	1	no	—
916	Dic₁₁	—	4	1	no	—
917	Dic₁₁	—	4	1	no	—
918	Dic₁₁	—	4	1	no	—
919	Dic₁₁	—	4	1	no	—
920	C₂⁵	—	11	1	no	—
921	C₂²×Q₈	C₂²×D₁₁	1	1	yes	characteristic
922	C₂²×D₄	—	11	1	no	—
923	C₂²×D₄	—	11	1	no	—
924	C₂²×D₄	—	11	1	no	—
925	C₂³×C₄	—	11	1	no	—
926	C₂³×C₄	—	11	1	no	—
927	C₂³×C₄	—	11	1	no	—
928	C₂³×C₄	—	11	1	no	—
929	C₂³×C₄	—	11	1	no	—
930	C₂³×C₄	—	11	1	no	—
931	C₂³×C₄	—	11	1	no	—
932	C₂³×C₄	—	11	1	no	—
933	C₂³×C₄	—	11	1	no	—
934	C₂³×C₄	—	11	1	no	—
935	C₂³×C₄	—	22	4	no	—
936	C₂³×C₄	—	22	4	no	—
937	C₂³×C₄	—	44	2	no	—
938	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
939	#126	—	22	4	no	—
940	#124	—	22	4	no	—
941	#123	—	22	4	no	—
942	C₂²⋊Q₈	—	22	4	no	—
943	#120	—	22	4	no	—
944	C₄×Q₈	—	4	2	no	—
945	C₄×D₄	—	22	4	no	—
946	C₄×D₄	—	22	4	no	—
947	C₄×D₄	—	44	2	no	—
948	#117	—	4	2	no	—
949	#117	—	22	4	no	—
950	#117	—	22	4	no	—
951	#117	—	22	4	no	—
952	#117	—	44	2	no	—
953	C₂×C₄⋊C₄	—	11	1	no	—
954	C₂×C₄⋊C₄	—	11	1	no	—
955	C₂×C₄⋊C₄	—	11	1	no	—
956	C₂×C₄⋊C₄	—	11	1	no	—
957	C₂×C₄⋊C₄	—	11	1	no	—
958	C₂×C₄⋊C₄	—	11	1	no	—
959	C₂×C₄⋊C₄	—	11	1	no	—
960	C₂×C₄⋊C₄	—	11	1	no	—
961	C₂×C₄⋊C₄	—	11	1	no	—
962	C₂×C₄⋊C₄	—	11	1	no	—
963	C₂×C₄⋊C₄	—	11	1	no	—
964	C₂×C₄⋊C₄	—	11	1	no	—
965	C₂×C₄⋊C₄	—	11	1	no	—
966	C₂×C₄⋊C₄	—	11	1	no	—
967	C₂×C₄⋊C₄	—	11	1	no	—
968	C₂×C₄⋊C₄	—	11	1	no	—
969	C₂×C₄⋊C₄	—	11	1	no	—
970	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	—	11	1	no	—
982	C₂×C₂²⋊C₄	—	11	1	no	—
983	C₂×C₂²⋊C₄	—	11	1	no	—
984	C₂×C₂²⋊C₄	—	11	1	no	—
985	C₂×C₂²⋊C₄	—	11	1	no	—
986	C₂×C₂²⋊C₄	—	11	1	no	—
987	C₂×C₂²⋊C₄	—	11	1	no	—
988	C₂×C₂²⋊C₄	—	11	1	no	—
989	C₂×C₂²⋊C₄	—	11	1	no	—
990	C₂×C₂²⋊C₄	—	11	1	no	—
991	C₂×C₂²⋊C₄	—	11	1	no	—
992	C₂×C₂²⋊C₄	—	11	1	no	—
993	C₂×C₂²⋊C₄	—	11	1	no	—
994	C₂×C₂²⋊C₄	—	11	1	no	—
995	C₂×C₂²⋊C₄	—	11	1	no	—
996	C₂×C₂²⋊C₄	—	11	1	no	—
997	C₂×C₂²⋊C₄	—	11	1	no	—
998	C₂×C₂²⋊C₄	—	11	1	no	—
999	C₂×C₂²⋊C₄	—	11	1	no	—
1000	C₂×C₂²⋊C₄	—	11	1	no	—
1001	C₂×C₂²⋊C₄	—	11	1	no	—
1002	C₂×C₂²⋊C₄	—	11	1	no	—
1003	C₂×C₂²⋊C₄	—	11	1	no	—
1004	C₂×C₂²⋊C₄	—	11	1	no	—
1005	C₂×C₂²⋊C₄	—	11	1	no	—
1006	C₂×C₂²⋊C₄	—	11	1	no	—
1007	C₂×C₂²⋊C₄	—	11	1	no	—
1008	C₂×C₂²⋊C₄	—	11	1	no	—
1009	C₂×C₂²⋊C₄	—	11	1	no	—
1010	C₂×C₂²⋊C₄	—	11	1	no	—
1011	C₂×C₂²⋊C₄	—	11	1	no	—
1012	C₂×C₂²⋊C₄	—	11	1	no	—
1013	C₂×C₂²⋊C₄	—	11	1	no	—
1014	C₂×C₂²⋊C₄	—	11	1	no	—
1015	C₂×C₂²⋊C₄	—	22	4	no	—
1016	C₂×C₂²⋊C₄	—	22	4	no	—
1017	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1023	C₂×C₄²	—	11	1	no	—
1024	C₂×C₄²	—	11	1	no	—
1025	C₂×C₄²	—	11	1	no	—
1026	C₂×C₄²	—	11	1	no	—
1027	C₂×C₄²	—	11	1	no	—
1028	C₂×C₄²	—	11	1	no	—
1029	C₂×C₄²	—	11	1	no	—
1030	C₂×C₄²	—	11	1	no	—
1031	C₂×C₄²	—	11	1	no	—
1032	C₂×C₄²	—	11	1	no	—
1033	C₂×C₄²	—	11	1	no	—
1034	C₂×C₄²	—	11	1	no	—
1035	C₂×C₄²	—	11	1	no	—
1036	C₂×C₄²	—	11	1	no	—
1037	C₂×C₄²	—	11	1	no	—
1038	C₂×C₄²	—	11	1	no	—
1039	C₂×C₄²	—	11	1	no	—
1040	C₂×C₄²	—	22	4	no	—
1041	C₂×C₄²	—	44	2	no	—
1042	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1043	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1044	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1045	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1046	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1047	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1048	#95	—	11	1	no	—
1049	#95	—	11	1	no	—
1050	#95	—	11	1	no	—
1051	#95	—	11	1	no	—
1052	#95	—	11	1	no	—
1053	#95	—	11	1	no	—
1054	#95	—	11	1	no	—
1055	#95	—	11	1	no	—
1056	#95	—	11	1	no	—
1057	#95	—	11	1	no	—
1058	#95	—	11	1	no	—
1059	#95	—	11	1	no	—
1060	#95	—	11	1	no	—
1061	#95	—	11	1	no	—
1062	#95	—	11	1	no	—
1063	#95	—	11	1	no	—
1064	#95	—	11	1	no	—
1065	#95	—	11	1	no	—
1066	#95	—	11	1	no	—
1067	#95	—	11	1	no	—
1068	#95	—	11	1	no	—
1069	#95	—	11	1	no	—
1070	#95	—	11	1	no	—
1071	#95	—	11	1	no	—
1072	#95	—	11	1	no	—
1073	#95	—	11	1	no	—
1074	#95	—	11	1	no	—
1075	#95	—	11	1	no	—
1076	#95	—	11	1	no	—
1077	#95	—	11	1	no	—
1078	#95	—	11	1	no	—
1079	#95	—	11	1	no	—
1080	#95	—	11	1	no	—
1081	#95	—	11	1	no	—
1082	#95	—	11	1	no	—
1083	#95	—	11	1	no	—
1084	#95	—	11	1	no	—
1085	#95	—	11	1	no	—
1086	#95	C₂²×D₁₁	1	1	yes	characteristic
1087	#95	C₂²×D₁₁	1	1	yes	characteristic
1088	#95	C₂²×D₁₁	1	1	yes	characteristic
1089	#95	C₂²×D₁₁	1	1	yes	characteristic
1090	#95	C₂²×D₁₁	1	1	yes	characteristic
1091	#95	C₂²×D₁₁	1	1	yes	characteristic
1092	#95	C₂²×D₁₁	1	1	yes	characteristic
1093	#95	C₂²×D₁₁	1	1	yes	characteristic
1094	#95	C₂²×D₁₁	1	1	yes	characteristic
1095	#95	C₂²×D₁₁	1	1	yes	characteristic
1096	C₂×C₁₁	—	4	2	no	—
1097	C₂×C₁₁	C₂×#529	1	1	yes	characteristic
1098	C₂×C₁₁	#3444	1	1	yes	characteristic
1099	C₂×C₁₁	#3460	1	1	yes	characteristic
1100	C₂×C₁₁	C₂×#551	1	1	yes	characteristic
1101	C₂×C₁₁	#3475	1	1	yes	characteristic
1102	C₂×C₁₁	#3475	1	1	yes	characteristic
1103	C₂×C₁₁	#3481	1	1	yes	characteristic
1104	D₁₁	—	2	4	no	—
1105	D₁₁	—	4	2	no	—
1106	D₁₁	—	8	1	no	—
1107	C₂⁴	—	11	1	no	—
1108	C₂⁴	—	11	1	no	—
1109	C₂⁴	—	11	1	no	—
1110	C₂⁴	—	22	2	no	—
1111	C₂⁴	—	22	2	no	—
1112	C₂⁴	—	22	2	no	—
1113	C₂⁴	—	22	2	no	—
1114	C₂⁴	—	22	2	no	—
1115	C₂⁴	—	44	1	no	—
1116	C₂⁴	—	44	1	no	—
1117	C₂⁴	C₂³×D₁₁	1	1	yes	characteristic
1118	C₂×Q₈	—	2	2	no	—
1119	C₂×Q₈	—	2	2	no	—
1120	C₂×Q₈	—	4	1	no	—
1121	C₂×D₄	—	22	2	no	—
1122	C₂×D₄	—	22	2	no	—
1123	C₂×D₄	—	22	2	no	—
1124	C₂×D₄	—	22	2	no	—
1125	C₂×D₄	—	22	2	no	—
1126	C₂×D₄	—	22	2	no	—
1127	C₂×D₄	—	22	2	no	—
1128	C₂×D₄	—	44	1	no	—
1129	C₂×D₄	—	44	1	no	—
1130	C₂²×C₄	—	2	2	no	—
1131	C₂²×C₄	—	2	2	no	—
1132	C₂²×C₄	—	11	1	no	—
1133	C₂²×C₄	—	11	1	no	—
1134	C₂²×C₄	—	11	1	no	—
1135	C₂²×C₄	—	11	1	no	—
1136	C₂²×C₄	—	11	4	no	—
1137	C₂²×C₄	—	11	4	no	—
1138	C₂²×C₄	—	11	1	no	—
1139	C₂²×C₄	—	11	1	no	—
1140	C₂²×C₄	—	11	1	no	—
1141	C₂²×C₄	—	11	1	no	—
1142	C₂²×C₄	—	11	1	no	—
1143	C₂²×C₄	—	11	1	no	—
1144	C₂²×C₄	—	11	1	no	—
1145	C₂²×C₄	—	11	1	no	—
1146	C₂²×C₄	—	11	1	no	—
1147	C₂²×C₄	—	22	2	no	—
1148	C₂²×C₄	—	22	2	no	—
1149	C₂²×C₄	—	22	2	no	—
1150	C₂²×C₄	—	22	2	no	—
1151	C₂²×C₄	—	22	2	no	—
1152	C₂²×C₄	—	22	2	no	—
1153	C₂²×C₄	—	22	2	no	—
1154	C₂²×C₄	—	22	2	no	—
1155	C₂²×C₄	—	22	2	no	—
1156	C₂²×C₄	—	22	2	no	—
1157	C₂²×C₄	—	22	2	no	—
1158	C₂²×C₄	—	22	2	no	—
1159	C₂²×C₄	—	22	2	no	—
1160	C₂²×C₄	—	22	2	no	—
1161	C₂²×C₄	—	22	2	no	—
1162	C₂²×C₄	—	22	2	no	—
1163	C₂²×C₄	—	22	2	no	—
1164	C₂²×C₄	—	22	2	no	—
1165	C₂²×C₄	—	22	2	no	—
1166	C₂²×C₄	—	22	2	no	—
1167	C₂²×C₄	—	22	2	no	—
1168	C₂²×C₄	—	44	1	no	—
1169	C₂²×C₄	—	44	1	no	—
1170	C₂²×C₄	—	44	1	no	—
1171	C₂²×C₄	—	44	1	no	—
1172	C₂²×C₄	—	44	1	no	—
1173	C₂²×C₄	—	44	1	no	—
1174	C₂²×C₄	—	44	16	no	—
1175	C₂²×C₄	—	44	1	no	—
1176	C₂²×C₄	#4343	1	4	yes	—
1177	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1191	C₄⋊C₄	—	2	2	no	—
1192	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	2	2	no	—
1194	C₄⋊C₄	—	2	2	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	4	1	no	—
1199	C₄⋊C₄	—	4	1	no	—
1200	C₄⋊C₄	—	4	1	no	—
1201	C₄⋊C₄	—	4	1	no	—
1202	C₄⋊C₄	—	22	2	no	—
1203	C₄⋊C₄	—	22	2	no	—
1204	C₄⋊C₄	—	22	2	no	—
1205	C₄⋊C₄	—	22	2	no	—
1206	C₄⋊C₄	—	22	2	no	—
1207	C₄⋊C₄	—	22	2	no	—
1208	C₄⋊C₄	—	22	2	no	—
1209	C₄⋊C₄	—	22	2	no	—
1210	C₄⋊C₄	—	22	2	no	—
1211	C₄⋊C₄	—	22	2	no	—
1212	C₄⋊C₄	—	22	2	no	—
1213	C₄⋊C₄	—	22	2	no	—
1214	C₄⋊C₄	—	44	1	no	—
1215	C₄⋊C₄	—	44	1	no	—
1216	C₄⋊C₄	—	44	1	no	—
1217	C₄⋊C₄	—	44	1	no	—
1218	C₄⋊C₄	—	44	1	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	11	4	no	—
1226	C₂²⋊C₄	—	11	4	no	—
1227	C₂²⋊C₄	—	22	2	no	—
1228	C₂²⋊C₄	—	22	2	no	—
1229	C₂²⋊C₄	—	22	2	no	—
1230	C₂²⋊C₄	—	22	2	no	—
1231	C₂²⋊C₄	—	22	2	no	—
1232	C₂²⋊C₄	—	22	2	no	—
1233	C₂²⋊C₄	—	22	2	no	—
1234	C₂²⋊C₄	—	22	2	no	—
1235	C₂²⋊C₄	—	22	2	no	—
1236	C₂²⋊C₄	—	22	2	no	—
1237	C₂²⋊C₄	—	22	2	no	—
1238	C₂²⋊C₄	—	22	2	no	—
1239	C₂²⋊C₄	—	22	2	no	—
1240	C₂²⋊C₄	—	22	2	no	—
1241	C₂²⋊C₄	—	22	2	no	—
1242	C₂²⋊C₄	—	22	2	no	—
1243	C₂²⋊C₄	—	22	2	no	—
1244	C₂²⋊C₄	—	22	2	no	—
1245	C₂²⋊C₄	—	22	2	no	—
1246	C₂²⋊C₄	—	22	2	no	—
1247	C₂²⋊C₄	—	22	2	no	—
1248	C₂²⋊C₄	—	22	2	no	—
1249	C₂²⋊C₄	—	22	2	no	—
1250	C₂²⋊C₄	—	22	2	no	—
1251	C₂²⋊C₄	—	44	1	no	—
1252	C₂²⋊C₄	—	44	1	no	—
1253	C₂²⋊C₄	—	44	1	no	—
1254	C₂²⋊C₄	—	44	1	no	—
1255	C₂²⋊C₄	—	44	1	no	—
1256	C₂²⋊C₄	—	44	1	no	—
1257	C₂²⋊C₄	—	44	1	no	—
1258	C₂²⋊C₄	—	44	1	no	—
1259	C₄²	—	2	2	no	—
1260	C₄²	—	2	2	no	—
1261	C₄²	—	2	2	no	—
1262	C₄²	—	2	2	no	—
1263	C₄²	—	2	2	no	—
1264	C₄²	—	2	2	no	—
1265	C₄²	—	22	2	no	—
1266	C₄²	—	22	2	no	—
1267	C₄²	—	22	2	no	—
1268	C₄²	—	22	2	no	—
1269	C₄²	—	22	2	no	—
1270	C₄²	—	22	2	no	—
1271	C₄²	—	22	2	no	—
1272	C₄²	—	22	2	no	—
1273	C₄²	—	22	2	no	—
1274	C₄²	—	22	2	no	—
1275	C₄²	—	22	2	no	—
1276	C₄²	—	22	2	no	—
1277	C₄²	—	22	2	no	—
1278	C₄²	—	44	1	no	—
1279	C₄²	—	44	1	no	—
1280	C₄²	—	44	1	no	—
1281	C₄²	—	44	1	no	—
1282	C₁₁	#34806	1	1	yes	characteristic, complemented, Sylow
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	11	2	no	—
1290	C₂³	—	11	2	no	—
1291	C₂³	—	11	2	no	—
1292	C₂³	—	11	2	no	—
1293	C₂³	—	22	8	no	—
1294	C₂³	—	22	1	no	—
1295	C₂³	—	22	1	no	—
1296	C₂³	—	22	1	no	—
1297	C₂³	—	22	1	no	—
1298	C₂³	—	22	1	no	—
1299	C₂³	—	22	1	no	—
1300	C₂³	—	22	1	no	—
1301	C₂³	—	22	1	no	—
1302	C₂³	—	22	1	no	—
1303	C₂³	—	22	1	no	—
1304	C₂³	—	22	1	no	—
1305	C₂³	—	22	1	no	—
1306	C₂³	—	22	1	no	—
1307	C₂³	—	22	1	no	—
1308	C₂³	—	22	1	no	—
1309	C₂³	—	22	1	no	—
1310	C₂³	—	22	1	no	—
1311	C₂³	—	44	4	no	—
1312	C₂³	—	44	4	no	—
1313	C₂³	—	44	4	no	—
1314	C₂³	—	44	4	no	—
1315	C₂³	—	44	4	no	—
1316	C₂³	—	44	4	no	—
1317	C₂³	C₂×#4343	1	2	yes	—
1318	C₂³	C₂⁴×D₁₁	1	1	yes	characteristic
1319	Q₈	—	4	4	no	—
1320	D₄	—	44	4	no	—
1321	D₄	—	44	4	no	—
1322	D₄	—	44	4	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	8	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	11	2	no	—
1360	C₂×C₄	—	11	2	no	—
1361	C₂×C₄	—	11	2	no	—
1362	C₂×C₄	—	11	2	no	—
1363	C₂×C₄	—	22	8	no	—
1364	C₂×C₄	—	22	1	no	—
1365	C₂×C₄	—	22	1	no	—
1366	C₂×C₄	—	22	1	no	—
1367	C₂×C₄	—	22	1	no	—
1368	C₂×C₄	—	22	1	no	—
1369	C₂×C₄	—	22	1	no	—
1370	C₂×C₄	—	22	1	no	—
1371	C₂×C₄	—	22	1	no	—
1372	C₂×C₄	—	22	8	no	—
1373	C₂×C₄	—	22	1	no	—
1374	C₂×C₄	—	22	1	no	—
1375	C₂×C₄	—	22	1	no	—
1376	C₂×C₄	—	22	1	no	—
1377	C₂×C₄	—	22	1	no	—
1378	C₂×C₄	—	22	1	no	—
1379	C₂×C₄	—	22	1	no	—
1380	C₂×C₄	—	22	1	no	—
1381	C₂×C₄	—	22	1	no	—
1382	C₂×C₄	—	22	1	no	—
1383	C₂×C₄	—	22	1	no	—
1384	C₂×C₄	—	22	1	no	—
1385	C₂×C₄	—	22	1	no	—
1386	C₂×C₄	—	22	1	no	—
1387	C₂×C₄	—	22	1	no	—
1388	C₂×C₄	—	22	1	no	—
1389	C₂×C₄	—	22	1	no	—
1390	C₂×C₄	—	22	1	no	—
1391	C₂×C₄	—	22	1	no	—
1392	C₂×C₄	—	22	1	no	—
1393	C₂×C₄	—	22	1	no	—
1394	C₂×C₄	—	22	1	no	—
1395	C₂×C₄	—	22	1	no	—
1396	C₂×C₄	—	22	1	no	—
1397	C₂×C₄	—	22	1	no	—
1398	C₂×C₄	—	22	1	no	—
1399	C₂×C₄	—	22	1	no	—
1400	C₂×C₄	—	44	4	no	—
1401	C₂×C₄	—	44	4	no	—
1402	C₂×C₄	—	44	4	no	—
1403	C₂×C₄	—	44	4	no	—
1404	C₂×C₄	—	44	4	no	—
1405	C₂×C₄	—	44	4	no	—
1406	C₂×C₄	—	44	4	no	—
1407	C₂×C₄	—	44	4	no	—
1408	C₂×C₄	#67037	1	2	yes	—
1409	C₂×C₄	C₂×#4343	1	2	yes	—
1410	C₂×C₄	C₂×#4343	1	2	yes	—
1411	C₂×C₄	#41×D₁₁	1	2	yes	—
1412	C₂×C₄	#41×D₁₁	1	2	yes	—
1413	C₂×C₄	#41×D₁₁	1	2	yes	—
1414	C₂×C₄	#41×D₁₁	1	2	yes	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	11	4	no	—
1423	C₂²	—	22	2	no	—
1424	C₂²	—	22	2	no	—
1425	C₂²	—	22	2	no	—
1426	C₂²	—	22	2	no	—
1427	C₂²	—	22	2	no	—
1428	C₂²	—	22	2	no	—
1429	C₂²	—	22	2	no	—
1430	C₂²	—	22	2	no	—
1431	C₂²	—	22	2	no	—
1432	C₂²	—	44	16	no	—
1433	C₂²	—	44	1	no	—
1434	C₂²	—	44	1	no	—
1435	C₂²	—	44	1	no	—
1436	C₂²	—	44	1	no	—
1437	C₂²	—	44	1	no	—
1438	C₂²	—	44	1	no	—
1439	C₂²	—	44	1	no	—
1440	C₂²	—	44	1	no	—
1441	C₂²	—	44	1	no	—
1442	C₂²	—	44	1	no	—
1443	C₂²	—	44	1	no	—
1444	C₂²	C₂×#67037	1	1	yes	characteristic
1445	C₂²	C₂²×#4343	1	1	yes	characteristic
1446	C₂²	C₂×#41×D₁₁	1	1	yes	characteristic
1447	C₂²	C₂×#41×D₁₁	1	1	yes	characteristic
1448	C₂²	C₂×#41×D₁₁	1	1	yes	characteristic
1449	C₂²	C₂×#41×D₁₁	1	1	yes	characteristic
1450	C₂²	#10623453	1	1	yes	characteristic
1451	C₄	—	2	2	no	—
1452	C₄	—	2	2	no	—
1453	C₄	—	2	2	no	—
1454	C₄	—	2	2	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	22	2	no	—
1465	C₄	—	22	2	no	—
1466	C₄	—	22	2	no	—
1467	C₄	—	22	2	no	—
1468	C₄	—	44	1	no	—
1469	C₄	—	44	1	no	—
1470	C₄	—	44	1	no	—
1471	C₄	—	44	1	no	—
1472	C₄	—	44	1	no	—
1473	C₄	—	44	1	no	—
1474	C₄	—	44	1	no	—
1475	C₄	—	44	1	no	—
1476	C₄	—	44	1	no	—
1477	C₄	#10623168	1	4	yes	—
1478	C₂	—	4	2	no	—
1479	C₂	—	22	4	no	—
1480	C₂	—	44	2	no	—
1481	C₂	—	88	1	no	—
1482	C₂	D₁₁×#529	1	1	yes	characteristic
1483	C₂	#13081913	1	1	yes	characteristic
1484	C₂	#13082030	1	1	yes	characteristic
1485	C₂	C₂×#10623168	1	1	yes	characteristic
1486	C₂	#13082172	1	1	yes	characteristic
1487	C₂	#13082183	1	1	yes	characteristic
1488	C₂	#13082218	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₁
commutator, socle, cosocle	C₂³×C₁₁	C₂⁵
Frattini	C₂³	C₂⁴×D₁₁
Fitting	C₁₁×#2396	C₂
prime radical	C₂×#66935	C₂²
hypercenter	#2396	D₁₁
hypocenter	C₁₁	#34806
LCS	G ▷ C₂³×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂²×C₄ ◁ #2396

Complements

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

N	H ≅ G/N	type
1. #13073458	C₂	semidirect
2. #13073451	C₂	semidirect
3. #13073396	C₂	semidirect
4. #13073389	C₂	semidirect
5. #13073329	C₂	semidirect
6. #13073322	C₂	semidirect
7. #13073243	C₂	semidirect
8. #13073236	C₂	semidirect
9. #13073177	C₂	semidirect
10. #13073118	C₂	semidirect
11. #13073061	C₂	semidirect
12. #13072891	C₂	semidirect
13. #13072865	C₂	semidirect
15. #13072285	C₂	semidirect
17. #13071917	C₂	semidirect
18. #13071879	C₂	semidirect
19. #13071876	C₂	semidirect
20. C₄×#66951	C₂	semidirect
21. C₄×#67000	C₂	semidirect
22. C₄×#66999	C₂	semidirect
23. C₄×#66947	C₂	semidirect
25. #13071112	C₂	semidirect
26. #13071075	C₂	semidirect
27. #13071057	C₂	semidirect
28. #13070995	C₂	semidirect
29. C₄×#66945	C₂	semidirect
30. C₄×C₂²⋊C₄×D₁₁	C₂	semidirect
31. C₁₁×#2396	C₂	semidirect
33. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
48. C₂×#66925	C₂²	semidirect
51. C₁₁×#400	C₂²	semidirect
53. C₁₁×#398	C₂²	semidirect
54. C₁₁×#398	C₂²	semidirect
57. C₁₁×#395	C₂²	semidirect
59. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
60. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
61. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
64. #10622843	C₂²	semidirect
65. #10622843	C₂²	semidirect
69. #10622606	C₂²	semidirect
75. #10622603	C₂²	semidirect
76. #10622603	C₂²	semidirect
77. #10622603	C₂²	semidirect
78. #10622603	C₂²	semidirect
79. #10622603	C₂²	semidirect
80. #10622603	C₂²	semidirect
81. #10622603	C₂²	semidirect
93. #10622599	C₂²	semidirect
94. #10622597	C₂²	semidirect
95. #10622595	C₂²	semidirect
96. #10622594	C₂²	semidirect
97. #10622594	C₂²	semidirect
98. #10622591	C₂²	semidirect
99. #10622591	C₂²	semidirect
100. #10622591	C₂²	semidirect
101. #10622590	C₂²	semidirect
102. C₄⋊C₄×Dic₁₁	C₂²	semidirect
103. C₄⋊C₄×Dic₁₁	C₂²	semidirect
104. #10622586	C₂²	semidirect
105. #10622585	C₂²	semidirect
106. #10622585	C₂²	semidirect
136. C₄×(C₂×D₁₁)⋊C₄	C₂²	semidirect
137. C₄×(C₂×D₁₁)⋊C₄	C₂²	semidirect
138. C₄×(C₂×D₁₁)⋊C₄	C₂²	semidirect
139. C₄×C₄⋊Dic₁₁	C₂²	semidirect
140. C₄×C₄⋊Dic₁₁	C₂²	semidirect
141. #10622545	C₂²	semidirect
142. C₄×Dic₁₁⋊C₄	C₂²	semidirect
143. C₄×Dic₁₁⋊C₄	C₂²	semidirect
144. C₄×Dic₁₁⋊C₄	C₂²	semidirect
145. C₄²×Dic₁₁	C₂²	semidirect
146. C₄²×Dic₁₁	C₂²	semidirect
147. #10622290	C₂²	semidirect
150. #10622288	C₂²	semidirect
152. #10622287	C₂²	semidirect
156. #10622282	C₂²	semidirect
171. C₁₁⋊#401	C₂²	semidirect
172. #10622274	C₂²	semidirect
173. #10622273	C₂²	semidirect
174. #10622273	C₂²	semidirect
175. #10622272	C₂²	semidirect
176. #10622268	C₂²	semidirect
177. #10622267	C₂²	semidirect
178. #10622267	C₂²	semidirect
179. #10622267	C₂²	semidirect
180. #10622267	C₂²	semidirect
181. #10622267	C₂²	semidirect
182. #10622266	C₂²	semidirect
183. #10622266	C₂²	semidirect
184. #10622264	C₂²	semidirect
185. #10622261	C₂²	semidirect
186. #10622261	C₂²	semidirect
556. #2396	D₁₁	semidirect
708. C₂×C₄×Q₈	C₂×D₁₁	semidirect
727. #400	C₂×D₁₁	semidirect
733. #398	C₂×D₁₁	semidirect
734. #398	C₂×D₁₁	semidirect
747. #395	C₂×D₁₁	semidirect
827. C₄×C₄⋊C₄	C₂×D₁₁	semidirect
828. C₄×C₄⋊C₄	C₂×D₁₁	semidirect
829. C₄×C₄⋊C₄	C₂×D₁₁	semidirect
1282. C₁₁	#34806	semidirect

Maximal subgroups

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

subgroup	index
#13073458	2
#13073451	2
#13073396	2
#13073389	2
#13073329	2
#13073322	2
#13073243	2
#13073236	2
#13073177	2
#13073118	2
#13073061	2
#13072891	2
#13072865	2
#13072745	2
#13072285	2
#13071996	2
#13071917	2
#13071879	2
#13071876	2
C₄×#66951	2
C₄×#67000	2
C₄×#66999	2
C₄×#66947	2
C₄×#66935	2
#13071112	2
#13071075	2
#13071057	2
#13070995	2
C₄×#66945	2
C₄×C₂²⋊C₄×D₁₁	2
C₁₁×#2396	2
#34806	11