Subgroups — #14960587

Order 2816.

2326 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10623220	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
3	#13076904	C₂	1	1	yes	maximal, characteristic
4	#13076902	C₂	1	1	yes	maximal, characteristic
5	#13075089	C₂	1	1	yes	maximal, characteristic, complemented
6	#13075087	C₂	1	1	yes	maximal, characteristic, complemented
7	#13075084	C₂	1	1	yes	maximal, characteristic, complemented
8	#13075082	C₂	1	1	yes	maximal, characteristic, complemented
9	#13075077	C₂	1	1	yes	maximal, characteristic, complemented
10	#13075076	C₂	1	1	yes	maximal, characteristic, complemented
11	#13075075	C₂	1	1	yes	maximal, characteristic, complemented
12	#13074933	C₂	1	1	yes	maximal, characteristic, complemented
13	#13074931	C₂	1	1	yes	maximal, characteristic, complemented
14	#13074930	C₂	1	1	yes	maximal, characteristic, complemented
15	#13074929	C₂	1	1	yes	maximal, characteristic, complemented
16	#13074929	C₂	1	1	yes	maximal, characteristic, complemented
17	#13074928	C₂	1	1	yes	maximal, characteristic, complemented
18	#13074928	C₂	1	1	yes	maximal, characteristic, complemented
19	#13074927	C₂	1	1	yes	maximal, characteristic, complemented
20	#13074434	C₂	1	1	yes	maximal, characteristic, complemented
21	#13074430	C₂	1	1	yes	maximal, characteristic, complemented
22	#13073772	C₂	1	1	yes	maximal, characteristic
23	#13073768	C₂	1	1	yes	maximal, characteristic
24	#13072904	C₂	1	1	yes	maximal, characteristic, complemented
25	#13072901	C₂	1	1	yes	maximal, characteristic, complemented
26	#13072888	C₂	1	1	yes	maximal, characteristic
27	#13072885	C₂	1	1	yes	maximal, characteristic
28	#13072259	C₂	1	1	yes	maximal, characteristic, complemented
29	#13072255	C₂	1	1	yes	maximal, characteristic, complemented
30	#13071215	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₁×#2690	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₁₁	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₁₁	C₂²	1	1	yes	characteristic
34	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×#66999	C₂²	1	1	yes	characteristic
37	C₂×#66997	C₂²	1	1	yes	characteristic, complemented
38	C₂×#66977	C₂²	1	1	yes	characteristic
39	C₂×#66977	C₂²	1	1	yes	characteristic
40	#10623220	—	2	8	no	—
41	D₁₁×C₂²⋊Q₈	—	2	8	no	—
42	C₂×#66950	C₂²	1	1	yes	characteristic
43	C₂×#66950	C₂²	1	1	yes	characteristic
44	C₂×#66950	C₂²	1	1	yes	characteristic
45	C₂×#66950	C₂²	1	1	yes	characteristic
46	C₂×#66949	C₂²	1	1	yes	characteristic
47	C₂×#66949	C₂²	1	1	yes	characteristic
48	C₂×#66949	C₂²	1	1	yes	characteristic
49	C₂×#66949	C₂²	1	1	yes	characteristic
50	C₂×#66949	C₂²	1	1	yes	characteristic
51	C₂×#66945	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
53	C₂×C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
54	C₂×C₄⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
55	C₂×#66943	C₂²	1	1	yes	characteristic, complemented
56	C₂×#66942	C₂²	1	1	yes	characteristic, complemented
57	C₂×#66942	C₂²	1	1	yes	characteristic, complemented
58	C₂×#66941	C₂²	1	1	yes	characteristic, complemented
59	C₂×#66941	C₂²	1	1	yes	characteristic, complemented
60	C₂×#66941	C₂²	1	1	yes	characteristic, complemented
61	C₂×#66941	C₂²	1	1	yes	characteristic, complemented
62	C₂×#66941	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×D₁₁	C₂²	1	1	yes	characteristic
65	C₂×#66931	C₂²	1	1	yes	characteristic
66	C₂×#66931	C₂²	1	1	yes	characteristic
67	C₂×#66931	C₂²	1	1	yes	characteristic
68	C₂×#66925	C₂²	1	1	yes	characteristic
69	C₂×#66922	C₂²	1	1	yes	characteristic, complemented
70	C₂×#66922	C₂²	1	1	yes	characteristic, complemented
71	C₁₁×#400	C₂²	1	1	yes	characteristic, complemented
72	C₁₁×#400	C₂²	1	1	yes	characteristic, complemented
73	C₁₁×#398	C₂²	1	1	yes	characteristic, complemented
74	C₁₁×#397	C₂²	1	1	yes	characteristic
75	C₁₁×#397	C₂²	1	1	yes	characteristic
76	C₁₁×#395	C₂²	1	1	yes	characteristic, complemented
77	C₁₁×#391	C₂²	1	1	yes	characteristic, complemented
78	C₁₁×#388	C₂²	1	1	yes	characteristic
79	C₁₁×#388	C₂²	1	1	yes	characteristic
80	C₁₁×#387	C₂²	1	1	yes	characteristic, complemented
81	C₁₁×#387	C₂²	1	1	yes	characteristic, complemented
82	C₁₁×#385	C₂²	1	1	yes	characteristic
83	C₁₁×#380	C₂²	1	1	yes	characteristic
84	#10622842	C₂²	1	1	yes	characteristic, complemented
85	#10622823	C₂²	1	1	yes	characteristic
86	#10622606	C₂²	1	1	yes	characteristic
87	#10622606	C₂²	1	1	yes	characteristic
88	#10622605	C₂²	1	1	yes	characteristic
89	#10622603	C₂²	1	1	yes	characteristic
90	#10622602	C₂²	1	1	yes	characteristic
91	#10622602	C₂²	1	1	yes	characteristic
92	#10622602	C₂²	1	1	yes	characteristic
93	#10622600	C₂²	1	1	yes	characteristic
94	#10622600	C₂²	1	1	yes	characteristic
95	#10622597	C₂²	1	1	yes	characteristic, complemented
96	#10622597	C₂²	1	1	yes	characteristic, complemented
97	#10622597	C₂²	1	1	yes	characteristic, complemented
98	#10622596	C₂²	1	1	yes	characteristic, complemented
99	#10622596	C₂²	1	1	yes	characteristic, complemented
100	#10622595	C₂²	1	1	yes	characteristic, complemented
101	#10622595	C₂²	1	1	yes	characteristic, complemented
102	#10622594	C₂²	1	1	yes	characteristic, complemented
103	#10622592	C₂²	1	1	yes	characteristic, complemented
104	#10622592	C₂²	1	1	yes	characteristic, complemented
105	#10622592	C₂²	1	1	yes	characteristic, complemented
106	#10622591	C₂²	1	1	yes	characteristic, complemented
107	#10622591	C₂²	1	1	yes	characteristic, complemented
108	#10622587	C₂²	1	1	yes	characteristic, complemented
109	#10622568	C₂²	1	1	yes	characteristic
110	#10622568	C₂²	1	1	yes	characteristic
111	#10622568	C₂²	1	1	yes	characteristic
112	#10622568	C₂²	1	1	yes	characteristic
113	#10622565	C₂²	1	1	yes	characteristic
114	#10622565	C₂²	1	1	yes	characteristic
115	#10622564	C₂²	1	1	yes	characteristic
116	#10622564	C₂²	1	1	yes	characteristic
117	#10622564	C₂²	1	1	yes	characteristic
118	#10622564	C₂²	1	1	yes	characteristic
119	#10622563	C₂²	1	1	yes	characteristic
120	#10622563	C₂²	1	1	yes	characteristic
121	#10622562	C₂²	1	1	yes	characteristic
122	#10622562	C₂²	1	1	yes	characteristic
123	#10622560	C₂²	1	1	yes	characteristic
124	#10622560	C₂²	1	1	yes	characteristic
125	#10622558	C₂²	1	1	yes	characteristic
126	#10622557	C₂²	1	1	yes	characteristic
127	#10622555	C₂²	1	1	yes	characteristic
128	#10622553	C₂²	1	1	yes	characteristic
129	#10622553	C₂²	1	1	yes	characteristic
130	C₄×(C₂×D₁₁)⋊C₄	C₂²	1	1	yes	characteristic
131	#10622546	C₂²	1	1	yes	characteristic, complemented
132	#10622546	C₂²	1	1	yes	characteristic, complemented
133	#10622290	C₂²	1	1	yes	characteristic
134	#10622288	C₂²	1	1	yes	characteristic
135	#10622288	C₂²	1	1	yes	characteristic
136	#10622286	C₂²	1	1	yes	characteristic
137	#10622286	C₂²	1	1	yes	characteristic
138	#10622283	C₂²	1	1	yes	characteristic
139	#10622283	C₂²	1	1	yes	characteristic
140	#10622283	C₂²	1	1	yes	characteristic
141	#10622282	C₂²	1	1	yes	characteristic
142	#10622282	C₂²	1	1	yes	characteristic
143	#10622281	C₂²	1	1	yes	characteristic
144	#10622281	C₂²	1	1	yes	characteristic
145	#10622281	C₂²	1	1	yes	characteristic
146	#10622281	C₂²	1	1	yes	characteristic
147	#10622281	C₂²	1	1	yes	characteristic
148	#10622281	C₂²	1	1	yes	characteristic
149	#10622281	C₂²	1	1	yes	characteristic
150	#10622281	C₂²	1	1	yes	characteristic
151	#10622281	C₂²	1	1	yes	characteristic
152	#10622280	C₂²	1	1	yes	characteristic
153	#10622280	C₂²	1	1	yes	characteristic
154	#10622279	C₂²	1	1	yes	characteristic
155	#10622277	C₂²	1	1	yes	characteristic
156	#10622277	C₂²	1	1	yes	characteristic
157	#10622277	C₂²	1	1	yes	characteristic
158	#10622277	C₂²	1	1	yes	characteristic
159	#10622277	C₂²	1	1	yes	characteristic
160	#10622277	C₂²	1	1	yes	characteristic
161	#10622274	C₂²	1	1	yes	characteristic, complemented
162	#10622274	C₂²	1	1	yes	characteristic, complemented
163	#10622274	C₂²	1	1	yes	characteristic, complemented
164	#10622273	C₂²	1	1	yes	characteristic, complemented
165	#10622273	C₂²	1	1	yes	characteristic, complemented
166	#10622271	C₂²	1	1	yes	characteristic, complemented
167	#10622271	C₂²	1	1	yes	characteristic, complemented
168	#10622270	C₂²	1	1	yes	characteristic, complemented
169	#10622270	C₂²	1	1	yes	characteristic, complemented
170	#10622270	C₂²	1	1	yes	characteristic, complemented
171	#10622269	C₂²	1	1	yes	characteristic, complemented
172	#10622269	C₂²	1	1	yes	characteristic, complemented
173	#10622269	C₂²	1	1	yes	characteristic, complemented
174	#10622269	C₂²	1	1	yes	characteristic, complemented
175	#10622269	C₂²	1	1	yes	characteristic, complemented
176	#10622269	C₂²	1	1	yes	characteristic, complemented
177	#10622269	C₂²	1	1	yes	characteristic, complemented
178	#10622268	C₂²	1	1	yes	characteristic, complemented
179	#10622268	C₂²	1	1	yes	characteristic, complemented
180	#10622268	C₂²	1	1	yes	characteristic, complemented
181	#10622267	C₂²	1	1	yes	characteristic, complemented
182	#10622267	C₂²	1	1	yes	characteristic, complemented
183	#10622267	C₂²	1	1	yes	characteristic, complemented
184	#10622266	C₂²	1	1	yes	characteristic, complemented
185	#10622266	C₂²	1	1	yes	characteristic, complemented
186	#10622265	C₂²	1	1	yes	characteristic, complemented
187	#10622259	C₂²	1	1	yes	characteristic, complemented
188	#10622259	C₂²	1	1	yes	characteristic, complemented
189	C₂⁴×D₁₁	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
192	C₂³×Dic₁₁	C₂³	1	1	yes	characteristic
193	C₂×Q₈×D₁₁	—	2	4	no	—
194	C₂×Q₈×D₁₁	—	4	2	no	—
195	C₂×Q₈×D₁₁	—	4	2	no	—
196	C₂²×C₄×D₁₁	—	2	4	no	—
197	C₂²×C₄×D₁₁	—	4	2	no	—
198	C₂²×C₄×D₁₁	—	4	2	no	—
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	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
207	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
208	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
209	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
210	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
211	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
212	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
213	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
214	C₁₁×#125	—	2	4	no	—
215	C₁₁×C₂²⋊Q₈	—	2	4	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
241	#66999	—	2	4	no	—
242	#66997	—	4	2	no	—
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×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
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	#66977	—	2	4	no	—
279	#66977	—	4	2	no	—
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×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
308	#66950	—	2	4	no	—
309	#66950	—	2	4	no	—
310	#66950	—	2	4	no	—
311	#66950	—	4	2	no	—
312	#66949	—	2	4	no	—
313	#66949	—	2	4	no	—
314	#66949	—	2	4	no	—
315	#66949	—	2	4	no	—
316	#66949	—	4	2	no	—
317	#66945	—	2	4	no	—
318	C₄⋊C₄×D₁₁	—	2	4	no	—
319	C₄⋊C₄×D₁₁	—	2	4	no	—
320	C₄⋊C₄×D₁₁	D₄	1	8	yes	—
321	#66943	—	2	4	no	—
322	#66942	—	2	4	no	—
323	#66942	—	2	4	no	—
324	#66941	—	2	4	no	—
325	#66941	—	2	4	no	—
326	#66941	—	2	4	no	—
327	#66941	—	4	2	no	—
328	#66941	—	4	2	no	—
329	C₂²⋊C₄×D₁₁	—	2	4	no	—
330	C₂²⋊C₄×D₁₁	—	2	4	no	—
331	#66931	—	2	4	no	—
332	#66931	—	2	4	no	—
333	#66931	—	4	2	no	—
334	#66925	—	2	4	no	—
335	#66922	—	2	4	no	—
336	#66922	—	4	2	no	—
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	C₁₁⋊#95	C₂³	1	1	yes	characteristic
365	C₁₁⋊#95	C₂³	1	1	yes	characteristic
366	C₁₁⋊#95	C₂³	1	1	yes	characteristic
367	C₁₁⋊#95	C₂³	1	1	yes	characteristic
368	C₁₁⋊#95	C₂³	1	1	yes	characteristic
369	C₁₁⋊#95	C₂³	1	1	yes	characteristic
370	C₁₁⋊#95	C₂³	1	1	yes	characteristic
371	C₁₁⋊#95	C₂³	1	1	yes	characteristic
372	C₁₁⋊#95	C₂³	1	1	yes	characteristic
373	C₁₁⋊#95	C₂³	1	1	yes	characteristic
374	C₁₁⋊#95	C₂³	1	1	yes	characteristic
375	C₁₁⋊#95	C₂³	1	1	yes	characteristic
376	C₁₁⋊#95	C₂³	1	1	yes	characteristic
377	C₁₁⋊#95	C₂³	1	1	yes	characteristic
378	C₁₁⋊#95	C₂³	1	1	yes	characteristic
379	C₁₁⋊#95	C₂³	1	1	yes	characteristic
380	C₁₁⋊#95	C₂³	1	1	yes	characteristic
381	C₁₁⋊#95	C₂³	1	1	yes	characteristic
382	C₁₁⋊#95	C₂³	1	1	yes	characteristic
383	C₁₁⋊#95	C₂³	1	1	yes	characteristic
384	C₁₁⋊#95	C₂³	1	1	yes	characteristic
385	#36708	—	11	1	no	maximal, Sylow
386	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
387	C₂³×D₁₁	—	2	2	no	—
388	C₂³×D₁₁	—	2	2	no	—
389	C₂³×D₁₁	—	2	2	no	—
390	C₂³×D₁₁	—	2	2	no	—
391	C₂³×D₁₁	—	2	2	no	—
392	C₂³×D₁₁	—	4	1	no	—
393	C₂³×D₁₁	—	4	1	no	—
394	C₂³×D₁₁	C₂⁴	1	1	yes	characteristic
395	C₂³×D₁₁	C₂⁴	1	1	yes	characteristic
396	C₂×Q₈×C₁₁	—	2	2	no	—
397	C₂×Q₈×C₁₁	—	2	2	no	—
398	C₂×Q₈×C₁₁	—	4	1	no	—
399	C₂²×C₄×C₁₁	—	2	2	no	—
400	C₂²×C₄×C₁₁	—	2	2	no	—
401	C₂²×C₄×C₁₁	—	4	1	no	—
402	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₁	—	2	2	no	—
417	C₂²×Dic₁₁	—	2	2	no	—
418	C₂²×Dic₁₁	—	4	1	no	—
419	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
433	Q₈×D₁₁	—	4	16	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	—	2	2	no	—
440	C₂×C₄×D₁₁	—	2	2	no	—
441	C₂×C₄×D₁₁	—	2	2	no	—
442	C₂×C₄×D₁₁	—	2	2	no	—
443	C₂×C₄×D₁₁	—	2	2	no	—
444	C₂×C₄×D₁₁	—	2	2	no	—
445	C₂×C₄×D₁₁	—	2	2	no	—
446	C₂×C₄×D₁₁	—	2	2	no	—
447	C₂×C₄×D₁₁	—	4	1	no	—
448	C₂×C₄×D₁₁	—	4	1	no	—
449	C₂×C₄×D₁₁	—	4	1	no	—
450	C₂×C₄×D₁₁	—	4	1	no	—
451	C₂×C₄×D₁₁	—	4	1	no	—
452	C₂×C₄×D₁₁	—	4	1	no	—
453	C₂×C₄×D₁₁	—	4	1	no	—
454	C₂×C₄×D₁₁	—	4	1	no	—
455	C₂×C₄×D₁₁	—	4	16	no	—
456	C₂×C₄×D₁₁	C₂×D₄	1	4	yes	—
457	C₂×C₄×D₁₁	C₂×D₄	1	4	yes	—
458	C₂×C₄×D₁₁	C₂×D₄	1	4	yes	—
459	C₂×Dic₂₂	—	2	2	no	—
460	C₂×Dic₂₂	—	2	2	no	—
461	C₂×Dic₂₂	—	2	2	no	—
462	C₂×Dic₂₂	—	2	2	no	—
463	C₂×Dic₂₂	—	2	2	no	—
464	C₂×Dic₂₂	—	2	2	no	—
465	C₂×Dic₂₂	—	2	2	no	—
466	C₂×Dic₂₂	—	2	2	no	—
467	C₂×Dic₂₂	—	2	2	no	—
468	C₂×Dic₂₂	—	2	2	no	—
469	C₂×Dic₂₂	—	4	1	no	—
470	C₂×Dic₂₂	—	4	1	no	—
471	C₂×Dic₂₂	—	4	1	no	—
472	C₂×Dic₂₂	—	4	1	no	—
473	C₂×Dic₂₂	—	4	1	no	—
474	C₂×Dic₂₂	—	4	1	no	—
475	C₂×Dic₂₂	—	4	1	no	—
476	C₂×Dic₂₂	—	4	1	no	—
477	C₂×Dic₂₂	—	4	1	no	—
478	C₂×Dic₂₂	—	4	1	no	—
479	C₂×Dic₂₂	—	4	1	no	—
480	C₁₁×C₄⋊C₄	—	2	2	no	—
481	C₁₁×C₄⋊C₄	—	2	2	no	—
482	C₁₁×C₄⋊C₄	—	2	2	no	—
483	C₁₁×C₄⋊C₄	—	2	2	no	—
484	C₁₁×C₄⋊C₄	—	2	2	no	—
485	C₁₁×C₄⋊C₄	—	2	2	no	—
486	C₁₁×C₄⋊C₄	—	2	2	no	—
487	C₁₁×C₄⋊C₄	—	2	2	no	—
488	C₁₁×C₄⋊C₄	—	4	1	no	—
489	C₁₁×C₄⋊C₄	—	4	1	no	—
490	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
491	C₁₁×C₂²⋊C₄	—	2	2	no	—
492	C₁₁×C₂²⋊C₄	—	2	2	no	—
493	C₁₁×C₂²⋊C₄	—	2	2	no	—
494	C₁₁×C₂²⋊C₄	—	2	2	no	—
495	C₁₁×C₂²⋊C₄	—	2	2	no	—
496	C₁₁×C₂²⋊C₄	—	4	1	no	—
497	C₄²×C₁₁	—	2	2	no	—
498	C₄²×C₁₁	—	4	1	no	—
499	C₂²⋊Dic₁₁	—	2	2	no	—
500	C₂²⋊Dic₁₁	—	2	2	no	—
501	C₂²⋊Dic₁₁	—	2	2	no	—
502	C₂²⋊Dic₁₁	—	4	1	no	—
503	C₂²⋊Dic₁₁	—	4	1	no	—
504	C₂²⋊Dic₁₁	—	4	1	no	—
505	(C₂×D₁₁)⋊C₄	—	2	2	no	—
506	(C₂×D₁₁)⋊C₄	—	2	2	no	—
507	(C₂×D₁₁)⋊C₄	—	2	2	no	—
508	(C₂×D₁₁)⋊C₄	—	2	2	no	—
509	(C₂×D₁₁)⋊C₄	—	2	2	no	—
510	(C₂×D₁₁)⋊C₄	—	2	2	no	—
511	(C₂×D₁₁)⋊C₄	—	2	2	no	—
512	(C₂×D₁₁)⋊C₄	—	2	2	no	—
513	(C₂×D₁₁)⋊C₄	—	2	2	no	—
514	(C₂×D₁₁)⋊C₄	—	2	2	no	—
515	(C₂×D₁₁)⋊C₄	—	2	2	no	—
516	(C₂×D₁₁)⋊C₄	—	2	2	no	—
517	(C₂×D₁₁)⋊C₄	—	2	2	no	—
518	(C₂×D₁₁)⋊C₄	—	2	2	no	—
519	(C₂×D₁₁)⋊C₄	—	2	2	no	—
520	(C₂×D₁₁)⋊C₄	—	2	2	no	—
521	(C₂×D₁₁)⋊C₄	—	4	1	no	—
522	(C₂×D₁₁)⋊C₄	—	4	1	no	—
523	(C₂×D₁₁)⋊C₄	—	4	1	no	—
524	(C₂×D₁₁)⋊C₄	—	4	1	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	C₄⋊Dic₁₁	C₂×D₄	1	4	yes	—
540	Dic₁₁⋊C₄	—	2	2	no	—
541	Dic₁₁⋊C₄	—	2	2	no	—
542	Dic₁₁⋊C₄	—	2	2	no	—
543	Dic₁₁⋊C₄	—	2	2	no	—
544	Dic₁₁⋊C₄	—	2	2	no	—
545	Dic₁₁⋊C₄	—	2	2	no	—
546	Dic₁₁⋊C₄	—	2	2	no	—
547	Dic₁₁⋊C₄	—	2	2	no	—
548	Dic₁₁⋊C₄	—	2	2	no	—
549	Dic₁₁⋊C₄	—	2	2	no	—
550	Dic₁₁⋊C₄	—	2	2	no	—
551	Dic₁₁⋊C₄	—	2	2	no	—
552	Dic₁₁⋊C₄	—	2	2	no	—
553	Dic₁₁⋊C₄	—	2	2	no	—
554	Dic₁₁⋊C₄	—	4	1	no	—
555	Dic₁₁⋊C₄	—	4	1	no	—
556	Dic₁₁⋊C₄	—	4	1	no	—
557	Dic₁₁⋊C₄	—	4	1	no	—
558	Dic₁₁⋊C₄	—	4	1	no	—
559	Dic₁₁⋊C₄	—	4	1	no	—
560	Dic₁₁⋊C₄	C₂×D₄	1	4	yes	—
561	Dic₁₁⋊C₄	C₂×D₄	1	4	yes	—
562	C₄×Dic₁₁	—	2	2	no	—
563	C₄×Dic₁₁	—	2	2	no	—
564	C₄×Dic₁₁	—	2	2	no	—
565	C₄×Dic₁₁	—	4	1	no	—
566	C₄×Dic₁₁	—	4	1	no	—
567	C₄×Dic₁₁	—	4	1	no	—
568	C₂×#544	—	11	1	no	—
569	C₂²×C₂²⋊Q₈	—	11	1	no	—
570	#2848	—	11	1	no	—
571	#2848	—	11	1	no	—
572	#2690	—	11	1	no	—
573	#2690	—	11	1	no	—
574	#2690	—	11	1	no	—
575	#2690	—	11	1	no	—
576	#2690	—	11	1	no	—
577	#2690	—	11	1	no	—
578	#2690	—	11	1	no	—
579	#2690	D₁₁	1	1	yes	characteristic, complemented
580	#2677	—	11	1	no	—
581	#2677	—	11	1	no	—
582	#2677	—	11	1	no	—
583	#2677	—	11	1	no	—
584	#2677	—	11	1	no	—
585	#2677	—	11	1	no	—
586	#2677	—	11	1	no	—
587	#2677	—	11	1	no	—
588	#2627	—	11	1	no	—
589	#2627	—	11	1	no	—
590	#2561	—	11	1	no	—
591	#2561	—	11	1	no	—
592	#2484	—	11	1	no	—
593	#2484	—	11	1	no	—
594	#2482	—	11	1	no	—
595	#2482	—	11	1	no	—
596	#2434	—	11	1	no	—
597	#2434	—	11	1	no	—
598	#2313	—	11	1	no	—
599	C₂³×C₁₁	—	2	1	no	—
600	C₂³×C₁₁	—	2	1	no	—
601	C₂³×C₁₁	—	2	1	no	—
602	C₂³×C₁₁	—	2	1	no	—
603	C₂³×C₁₁	—	2	1	no	—
604	C₂³×C₁₁	—	2	1	no	—
605	C₂³×C₁₁	2₋¹⁺⁴	1	2	yes	—
606	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
607	C₂²×D₁₁	—	2	1	no	—
608	C₂²×D₁₁	—	2	1	no	—
609	C₂²×D₁₁	—	2	1	no	—
610	C₂²×D₁₁	—	2	1	no	—
611	C₂²×D₁₁	—	2	8	no	—
612	C₂²×D₁₁	—	2	1	no	—
613	C₂²×D₁₁	—	2	1	no	—
614	C₂²×D₁₁	—	2	1	no	—
615	C₂²×D₁₁	—	2	1	no	—
616	C₂²×D₁₁	—	2	1	no	—
617	C₂²×D₁₁	—	2	1	no	—
618	C₂²×D₁₁	—	4	4	no	—
619	C₂²×D₁₁	—	4	4	no	—
620	C₂²×D₁₁	—	4	4	no	—
621	C₂²×D₁₁	—	4	4	no	—
622	C₂²×D₁₁	—	4	4	no	—
623	C₂²×D₁₁	—	4	4	no	—
624	C₂²×D₁₁	C₂²×D₄	1	2	yes	—
625	C₂²×D₁₁	2₋¹⁺⁴	1	2	yes	—
626	C₂²×D₁₁	2₋¹⁺⁴	1	2	yes	—
627	C₂²×D₁₁	2₋¹⁺⁴	1	2	yes	—
628	Q₈×C₁₁	—	4	4	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	—	2	1	no	—
644	C₂×C₄×C₁₁	—	2	1	no	—
645	C₂×C₄×C₁₁	—	2	1	no	—
646	C₂×C₄×C₁₁	—	2	1	no	—
647	C₂×C₄×C₁₁	—	2	1	no	—
648	C₂×C₄×C₁₁	—	2	1	no	—
649	C₂×C₄×C₁₁	—	2	1	no	—
650	C₂×C₄×C₁₁	—	2	1	no	—
651	C₂×C₄×C₁₁	—	2	1	no	—
652	C₂×C₄×C₁₁	—	2	1	no	—
653	C₂×C₄×C₁₁	—	2	1	no	—
654	C₂×C₄×C₁₁	—	2	1	no	—
655	C₂×C₄×C₁₁	—	2	1	no	—
656	C₂×C₄×C₁₁	—	2	1	no	—
657	C₂×C₄×C₁₁	—	2	1	no	—
658	C₂×C₄×C₁₁	—	2	1	no	—
659	C₂×C₄×C₁₁	—	2	1	no	—
660	C₂×C₄×C₁₁	—	2	1	no	—
661	C₂×C₄×C₁₁	—	2	1	no	—
662	C₂×C₄×C₁₁	—	2	1	no	—
663	C₂×C₄×C₁₁	—	2	1	no	—
664	C₂×C₄×C₁₁	—	2	1	no	—
665	C₂×C₄×C₁₁	—	2	1	no	—
666	C₂×C₄×C₁₁	—	2	1	no	—
667	C₂×C₄×C₁₁	—	4	4	no	—
668	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
669	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
670	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
671	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
687	C₂×Dic₁₁	—	2	1	no	—
688	C₂×Dic₁₁	—	2	1	no	—
689	C₂×Dic₁₁	—	2	1	no	—
690	C₂×Dic₁₁	—	2	1	no	—
691	C₂×Dic₁₁	—	2	1	no	—
692	C₂×Dic₁₁	—	2	1	no	—
693	C₂×Dic₁₁	—	2	1	no	—
694	C₂×Dic₁₁	—	2	1	no	—
695	C₂×Dic₁₁	—	2	1	no	—
696	C₂×Dic₁₁	—	2	1	no	—
697	C₂×Dic₁₁	—	2	1	no	—
698	C₂×Dic₁₁	—	2	1	no	—
699	C₂×Dic₁₁	—	2	1	no	—
700	C₂×Dic₁₁	—	2	1	no	—
701	C₂×Dic₁₁	—	2	1	no	—
702	C₂×Dic₁₁	—	2	1	no	—
703	C₂×Dic₁₁	—	2	1	no	—
704	C₂×Dic₁₁	—	2	1	no	—
705	C₂×Dic₁₁	—	2	1	no	—
706	C₂×Dic₁₁	—	2	1	no	—
707	C₂×Dic₁₁	—	2	1	no	—
708	C₂×Dic₁₁	—	2	1	no	—
709	C₂×Dic₁₁	—	2	1	no	—
710	C₂×Dic₁₁	—	4	4	no	—
711	C₂×Dic₁₁	C₂²×D₄	1	2	yes	—
712	C₂×Dic₁₁	C₂²×D₄	1	2	yes	—
713	C₂×Dic₁₁	C₂²×D₄	1	2	yes	—
714	C₂×Dic₁₁	H(5,𝔽₂)	1	2	yes	—
715	C₄×D₁₁	—	2	8	no	—
716	C₄×D₁₁	—	2	8	no	—
717	C₄×D₁₁	—	4	4	no	—
718	C₄×D₁₁	—	4	4	no	—
719	C₄×D₁₁	—	4	4	no	—
720	C₄×D₁₁	—	4	4	no	—
721	C₄×D₁₁	—	4	4	no	—
722	C₄×D₁₁	—	4	4	no	—
723	Dic₂₂	—	4	4	no	—
724	Dic₂₂	—	4	4	no	—
725	Dic₂₂	—	4	4	no	—
726	Dic₂₂	—	8	2	no	—
727	Dic₂₂	—	8	2	no	—
728	Dic₂₂	—	8	2	no	—
729	Dic₂₂	—	8	2	no	—
730	C₂³×Q₈	—	11	1	no	—
731	C₂⁴×C₄	—	11	1	no	—
732	#544	—	22	8	no	—
733	C₂×C₄⋊Q₈	—	11	1	no	—
734	C₂×C₄⋊Q₈	—	11	1	no	—
735	C₂×C₄⋊Q₈	—	11	1	no	—
736	C₂×C₄⋊Q₈	—	11	1	no	—
737	C₂×C₄⋊Q₈	—	11	1	no	—
738	C₂×C₄⋊Q₈	—	11	1	no	—
739	C₂×C₄⋊Q₈	—	11	1	no	—
740	C₂×C₄⋊Q₈	—	11	1	no	—
741	C₂×#125	—	11	1	no	—
742	C₂×#125	—	11	1	no	—
743	C₂×#125	—	11	1	no	—
744	C₂×#125	C₂×D₁₁	1	1	yes	characteristic, complemented
745	C₂×C₂²⋊Q₈	—	11	1	no	—
746	C₂×C₂²⋊Q₈	—	11	1	no	—
747	C₂×C₂²⋊Q₈	—	11	1	no	—
748	C₂×C₂²⋊Q₈	—	11	1	no	—
749	C₂×C₂²⋊Q₈	—	11	1	no	—
750	C₂×C₂²⋊Q₈	—	11	1	no	—
751	C₂×C₂²⋊Q₈	—	11	1	no	—
752	C₂×C₂²⋊Q₈	—	11	1	no	—
753	C₂×C₂²⋊Q₈	—	11	1	no	—
754	C₂×C₂²⋊Q₈	—	11	1	no	—
755	C₂×C₂²⋊Q₈	—	11	1	no	—
756	C₂×C₂²⋊Q₈	—	11	1	no	—
757	C₂×C₂²⋊Q₈	—	11	1	no	—
758	C₂×C₂²⋊Q₈	—	11	1	no	—
759	C₂×C₂²⋊Q₈	—	11	1	no	—
760	C₂×C₂²⋊Q₈	—	22	8	no	—
761	C₂×C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic
762	C₂×#117	—	11	1	no	—
763	C₂×#117	—	11	1	no	—
764	C₂²×C₄⋊C₄	—	11	1	no	—
765	C₂²×C₄⋊C₄	—	11	1	no	—
766	C₂²×C₄⋊C₄	—	11	1	no	—
767	C₂²×C₂²⋊C₄	—	11	1	no	—
768	C₂²×C₂²⋊C₄	—	11	1	no	—
769	#400	—	11	1	no	—
770	#400	—	11	1	no	—
771	#400	—	11	1	no	—
772	#400	—	11	1	no	—
773	#400	—	11	1	no	—
774	#400	—	11	1	no	—
775	#400	C₂×D₁₁	1	1	yes	characteristic, complemented
776	#400	C₂×D₁₁	1	1	yes	characteristic, complemented
777	#399	—	11	1	no	—
778	#399	—	11	1	no	—
779	#399	—	11	1	no	—
780	#399	—	11	1	no	—
781	#398	—	11	1	no	—
782	#398	—	11	1	no	—
783	#398	—	11	1	no	—
784	#398	—	11	1	no	—
785	#398	—	11	1	no	—
786	#398	—	11	1	no	—
787	#398	—	11	1	no	—
788	#398	—	11	1	no	—
789	#398	—	11	1	no	—
790	#398	—	11	1	no	—
791	#398	—	11	1	no	—
792	#398	C₂×D₁₁	1	1	yes	characteristic, complemented
793	#397	—	11	1	no	—
794	#397	—	11	1	no	—
795	#397	—	11	1	no	—
796	#397	—	11	1	no	—
797	#397	—	11	1	no	—
798	#397	—	11	1	no	—
799	#397	C₂×D₁₁	1	1	yes	characteristic
800	#397	C₂×D₁₁	1	1	yes	characteristic
801	#395	—	11	1	no	—
802	#395	—	11	1	no	—
803	#395	—	11	1	no	—
804	#395	—	11	1	no	—
805	#395	—	11	1	no	—
806	#395	—	11	1	no	—
807	#395	—	11	1	no	—
808	#395	—	11	1	no	—
809	#395	—	11	1	no	—
810	#395	—	11	1	no	—
811	#395	—	11	1	no	—
812	#395	C₂×D₁₁	1	1	yes	characteristic, complemented
813	#393	—	11	1	no	—
814	#393	—	11	1	no	—
815	#393	—	11	1	no	—
816	#393	—	11	1	no	—
817	#391	—	11	1	no	—
818	#391	—	11	1	no	—
819	#391	—	11	1	no	—
820	#391	C₂×D₁₁	1	1	yes	characteristic, complemented
821	#388	—	11	1	no	—
822	#388	—	11	1	no	—
823	#388	—	11	1	no	—
824	#388	—	11	1	no	—
825	#388	—	11	1	no	—
826	#388	—	11	1	no	—
827	#388	—	11	1	no	—
828	#388	—	11	1	no	—
829	#388	—	11	1	no	—
830	#388	—	11	1	no	—
831	#388	—	11	1	no	—
832	#388	—	11	1	no	—
833	#388	—	11	1	no	—
834	#388	—	11	1	no	—
835	#388	C₂×D₁₁	1	1	yes	characteristic
836	#388	C₂×D₁₁	1	1	yes	characteristic
837	#387	—	11	1	no	—
838	#387	—	11	1	no	—
839	#387	—	11	1	no	—
840	#387	—	11	1	no	—
841	#387	—	11	1	no	—
842	#387	—	11	1	no	—
843	#387	—	11	1	no	—
844	#387	—	11	1	no	—
845	#387	—	11	1	no	—
846	#387	—	11	1	no	—
847	#387	—	11	1	no	—
848	#387	—	11	1	no	—
849	#387	—	11	1	no	—
850	#387	—	11	1	no	—
851	#387	C₂×D₁₁	1	1	yes	characteristic, complemented
852	#387	C₂×D₁₁	1	1	yes	characteristic, complemented
853	#385	—	11	1	no	—
854	#385	—	11	1	no	—
855	#385	—	11	1	no	—
856	#385	—	11	1	no	—
857	#385	—	11	1	no	—
858	#385	—	11	1	no	—
859	#385	—	11	1	no	—
860	#385	—	11	1	no	—
861	#385	—	11	1	no	—
862	#385	—	11	1	no	—
863	#385	—	11	1	no	—
864	#385	—	11	1	no	—
865	#385	—	11	1	no	—
866	#385	—	11	1	no	—
867	#385	—	11	1	no	—
868	#385	C₂×D₁₁	1	1	yes	characteristic
869	#381	—	11	1	no	—
870	#381	—	11	1	no	—
871	#381	—	11	1	no	—
872	#381	—	11	1	no	—
873	#381	—	11	1	no	—
874	#381	—	11	1	no	—
875	#380	—	11	1	no	—
876	#380	—	11	1	no	—
877	#380	—	11	1	no	—
878	#380	—	11	1	no	—
879	#380	—	11	1	no	—
880	#380	C₂×D₁₁	1	1	yes	characteristic
881	#379	—	11	1	no	—
882	#379	—	11	1	no	—
883	#379	—	11	1	no	—
884	#379	—	11	1	no	—
885	C₄×C₂²⋊C₄	—	11	1	no	—
886	C₄×C₂²⋊C₄	—	11	1	no	—
887	C₂²×C₁₁	—	2	2	no	—
888	C₂²×C₁₁	—	2	2	no	—
889	C₂²×C₁₁	—	2	2	no	—
890	C₂²×C₁₁	—	4	1	no	—
891	C₂²×C₁₁	—	4	1	no	—
892	C₂²×C₁₁	—	4	1	no	—
893	C₂²×C₁₁	—	4	1	no	—
894	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
895	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
896	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
897	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
898	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
899	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
900	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
901	C₂×D₁₁	—	2	2	no	—
902	C₂×D₁₁	—	2	2	no	—
903	C₂×D₁₁	—	2	2	no	—
904	C₂×D₁₁	—	2	2	no	—
905	C₂×D₁₁	—	2	2	no	—
906	C₂×D₁₁	—	2	2	no	—
907	C₂×D₁₁	—	2	2	no	—
908	C₂×D₁₁	—	2	2	no	—
909	C₂×D₁₁	—	2	2	no	—
910	C₂×D₁₁	—	4	16	no	—
911	C₂×D₁₁	—	4	1	no	—
912	C₂×D₁₁	—	4	1	no	—
913	C₂×D₁₁	—	4	1	no	—
914	C₂×D₁₁	—	4	1	no	—
915	C₂×D₁₁	#536	1	4	yes	—
916	C₄×C₁₁	—	2	2	no	—
917	C₄×C₁₁	—	2	2	no	—
918	C₄×C₁₁	—	2	2	no	—
919	C₄×C₁₁	—	2	2	no	—
920	C₄×C₁₁	—	4	1	no	—
921	C₄×C₁₁	—	4	1	no	—
922	C₄×C₁₁	—	4	1	no	—
923	C₄×C₁₁	—	4	1	no	—
924	C₄×C₁₁	—	4	1	no	—
925	C₄×C₁₁	—	4	1	no	—
926	C₄×C₁₁	—	4	1	no	—
927	C₄×C₁₁	—	4	1	no	—
928	C₄×C₁₁	—	4	1	no	—
929	C₄×C₁₁	—	4	1	no	—
930	Dic₁₁	—	2	2	no	—
931	Dic₁₁	—	2	2	no	—
932	Dic₁₁	—	2	2	no	—
933	Dic₁₁	—	2	2	no	—
934	Dic₁₁	—	4	1	no	—
935	Dic₁₁	—	4	1	no	—
936	Dic₁₁	—	4	1	no	—
937	Dic₁₁	—	4	1	no	—
938	Dic₁₁	—	4	1	no	—
939	Dic₁₁	—	4	1	no	—
940	Dic₁₁	—	4	1	no	—
941	Dic₁₁	—	4	1	no	—
942	Dic₁₁	—	4	1	no	—
943	Dic₁₁	—	4	1	no	—
944	C₂⁵	—	11	1	no	—
945	C₂²×Q₈	—	11	1	no	—
946	C₂²×Q₈	—	11	1	no	—
947	C₂²×Q₈	—	11	1	no	—
948	C₂²×Q₈	—	11	1	no	—
949	C₂²×Q₈	—	11	1	no	—
950	C₂²×Q₈	—	11	1	no	—
951	C₂²×Q₈	—	11	1	no	—
952	C₂²×Q₈	—	22	4	no	—
953	C₂²×Q₈	—	44	2	no	—
954	C₂²×Q₈	—	44	2	no	—
955	C₂²×Q₈	C₂²×D₁₁	1	1	yes	characteristic
956	C₂³×C₄	—	11	1	no	—
957	C₂³×C₄	—	11	1	no	—
958	C₂³×C₄	—	11	1	no	—
959	C₂³×C₄	—	11	1	no	—
960	C₂³×C₄	—	11	1	no	—
961	C₂³×C₄	—	11	1	no	—
962	C₂³×C₄	—	11	1	no	—
963	C₂³×C₄	—	11	1	no	—
964	C₂³×C₄	—	11	1	no	—
965	C₂³×C₄	—	22	4	no	—
966	C₂³×C₄	—	44	2	no	—
967	C₂³×C₄	—	44	2	no	—
968	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
969	C₄⋊Q₈	—	22	4	no	—
970	C₄⋊Q₈	—	22	4	no	—
971	C₄⋊Q₈	—	22	4	no	—
972	C₄⋊Q₈	—	22	4	no	—
973	C₄⋊Q₈	—	44	2	no	—
974	C₄⋊Q₈	—	44	2	no	—
975	C₄⋊Q₈	—	44	2	no	—
976	C₄⋊Q₈	—	44	2	no	—
977	#125	—	2	4	no	—
978	#125	—	22	4	no	—
979	#125	—	22	4	no	—
980	#125	—	22	4	no	—
981	C₂²⋊Q₈	—	2	4	no	—
982	C₂²⋊Q₈	—	22	4	no	—
983	C₂²⋊Q₈	—	22	4	no	—
984	C₂²⋊Q₈	—	22	4	no	—
985	C₂²⋊Q₈	—	22	4	no	—
986	C₂²⋊Q₈	—	22	4	no	—
987	C₂²⋊Q₈	—	22	4	no	—
988	C₂²⋊Q₈	—	22	4	no	—
989	C₂²⋊Q₈	—	22	4	no	—
990	C₂²⋊Q₈	—	22	4	no	—
991	C₂²⋊Q₈	—	22	4	no	—
992	C₂²⋊Q₈	—	22	4	no	—
993	C₂²⋊Q₈	—	44	2	no	—
994	C₂²⋊Q₈	—	44	2	no	—
995	C₂²⋊Q₈	—	44	2	no	—
996	C₂²⋊Q₈	—	44	2	no	—
997	#117	—	22	4	no	—
998	#117	—	22	4	no	—
999	C₂×C₄⋊C₄	—	11	1	no	—
1000	C₂×C₄⋊C₄	—	11	1	no	—
1001	C₂×C₄⋊C₄	—	11	1	no	—
1002	C₂×C₄⋊C₄	—	11	8	no	—
1003	C₂×C₄⋊C₄	—	11	1	no	—
1004	C₂×C₄⋊C₄	—	11	1	no	—
1005	C₂×C₄⋊C₄	—	11	1	no	—
1006	C₂×C₄⋊C₄	—	11	1	no	—
1007	C₂×C₄⋊C₄	—	11	1	no	—
1008	C₂×C₄⋊C₄	—	11	1	no	—
1009	C₂×C₄⋊C₄	—	11	1	no	—
1010	C₂×C₄⋊C₄	—	11	1	no	—
1011	C₂×C₄⋊C₄	—	11	1	no	—
1012	C₂×C₄⋊C₄	—	11	1	no	—
1013	C₂×C₄⋊C₄	—	11	1	no	—
1014	C₂×C₄⋊C₄	—	11	1	no	—
1015	C₂×C₄⋊C₄	—	11	1	no	—
1016	C₂×C₄⋊C₄	—	11	1	no	—
1017	C₂×C₄⋊C₄	—	11	1	no	—
1018	C₂×C₄⋊C₄	—	11	1	no	—
1019	C₂×C₄⋊C₄	—	11	1	no	—
1020	C₂×C₄⋊C₄	—	11	1	no	—
1021	C₂×C₄⋊C₄	—	11	1	no	—
1022	C₂×C₄⋊C₄	—	11	1	no	—
1023	C₂×C₄⋊C₄	—	11	1	no	—
1024	C₂×C₄⋊C₄	—	11	1	no	—
1025	C₂×C₄⋊C₄	—	11	1	no	—
1026	C₂×C₄⋊C₄	—	11	1	no	—
1027	C₂×C₄⋊C₄	—	11	1	no	—
1028	C₂×C₄⋊C₄	—	11	1	no	—
1029	C₂×C₄⋊C₄	—	11	1	no	—
1030	C₂×C₄⋊C₄	—	11	1	no	—
1031	C₂×C₄⋊C₄	—	11	1	no	—
1032	C₂×C₄⋊C₄	—	11	1	no	—
1033	C₂×C₄⋊C₄	—	11	1	no	—
1034	C₂×C₄⋊C₄	—	11	1	no	—
1035	C₂×C₄⋊C₄	—	11	1	no	—
1036	C₂×C₄⋊C₄	—	11	1	no	—
1037	C₂×C₄⋊C₄	—	22	4	no	—
1038	C₂×C₄⋊C₄	—	22	4	no	—
1039	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	—	11	1	no	—
1051	C₂×C₂²⋊C₄	—	11	1	no	—
1052	C₂×C₂²⋊C₄	—	11	1	no	—
1053	C₂×C₂²⋊C₄	—	11	1	no	—
1054	C₂×C₂²⋊C₄	—	11	1	no	—
1055	C₂×C₂²⋊C₄	—	11	1	no	—
1056	C₂×C₂²⋊C₄	—	11	1	no	—
1057	C₂×C₂²⋊C₄	—	11	1	no	—
1058	C₂×C₂²⋊C₄	—	11	1	no	—
1059	C₂×C₂²⋊C₄	—	11	1	no	—
1060	C₂×C₂²⋊C₄	—	11	1	no	—
1061	C₂×C₂²⋊C₄	—	11	1	no	—
1062	C₂×C₂²⋊C₄	—	11	1	no	—
1063	C₂×C₂²⋊C₄	—	11	1	no	—
1064	C₂×C₂²⋊C₄	—	11	1	no	—
1065	C₂×C₂²⋊C₄	—	11	1	no	—
1066	C₂×C₂²⋊C₄	—	11	1	no	—
1067	C₂×C₂²⋊C₄	—	11	1	no	—
1068	C₂×C₂²⋊C₄	—	11	1	no	—
1069	C₂×C₂²⋊C₄	—	11	1	no	—
1070	C₂×C₂²⋊C₄	—	11	1	no	—
1071	C₂×C₂²⋊C₄	—	11	1	no	—
1072	C₂×C₂²⋊C₄	—	11	1	no	—
1073	C₂×C₂²⋊C₄	—	11	1	no	—
1074	C₂×C₂²⋊C₄	—	11	1	no	—
1075	C₂×C₂²⋊C₄	—	11	1	no	—
1076	C₂×C₂²⋊C₄	—	22	4	no	—
1077	C₂×C₂²⋊C₄	—	22	4	no	—
1078	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1084	C₂×C₄²	—	11	1	no	—
1085	C₂×C₄²	—	11	1	no	—
1086	C₂×C₄²	—	11	1	no	—
1087	C₂×C₄²	—	11	1	no	—
1088	C₂×C₄²	—	11	1	no	—
1089	C₂×C₄²	—	11	1	no	—
1090	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1091	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
1092	#95	—	11	1	no	—
1093	#95	—	11	1	no	—
1094	#95	—	11	1	no	—
1095	#95	—	11	1	no	—
1096	#95	—	11	1	no	—
1097	#95	—	11	1	no	—
1098	#95	—	11	1	no	—
1099	#95	—	11	1	no	—
1100	#95	—	11	1	no	—
1101	#95	—	11	1	no	—
1102	#95	—	11	1	no	—
1103	#95	—	11	1	no	—
1104	#95	—	11	1	no	—
1105	#95	—	11	1	no	—
1106	#95	—	11	1	no	—
1107	#95	—	11	1	no	—
1108	#95	—	11	1	no	—
1109	#95	—	11	1	no	—
1110	#95	—	11	1	no	—
1111	#95	—	11	1	no	—
1112	#95	—	11	1	no	—
1113	#95	—	11	1	no	—
1114	#95	—	11	1	no	—
1115	#95	—	11	1	no	—
1116	#95	—	11	1	no	—
1117	#95	—	11	1	no	—
1118	#95	—	11	1	no	—
1119	#95	—	11	1	no	—
1120	#95	—	11	1	no	—
1121	#95	—	11	1	no	—
1122	#95	—	11	1	no	—
1123	#95	—	11	1	no	—
1124	#95	—	11	1	no	—
1125	#95	—	11	1	no	—
1126	#95	C₂²×D₁₁	1	1	yes	characteristic
1127	#95	C₂²×D₁₁	1	1	yes	characteristic
1128	#95	C₂²×D₁₁	1	1	yes	characteristic
1129	#95	C₂²×D₁₁	1	1	yes	characteristic
1130	#95	C₂²×D₁₁	1	1	yes	characteristic
1131	#95	C₂²×D₁₁	1	1	yes	characteristic
1132	#95	C₂²×D₁₁	1	1	yes	characteristic
1133	#95	C₂²×D₁₁	1	1	yes	characteristic
1134	#95	C₂²×D₁₁	1	1	yes	characteristic
1135	#95	C₂²×D₁₁	1	1	yes	characteristic
1136	#95	C₂²×D₁₁	1	1	yes	characteristic
1137	#95	C₂²×D₁₁	1	1	yes	characteristic
1138	#95	C₂²×D₁₁	1	1	yes	characteristic
1139	#95	C₂²×D₁₁	1	1	yes	characteristic
1140	C₂×C₁₁	—	4	2	no	—
1141	C₂×C₁₁	C₂×#536	1	1	yes	characteristic
1142	C₂×C₁₁	#3484	1	1	yes	characteristic
1143	C₂×C₁₁	#3486	1	1	yes	characteristic
1144	C₂×C₁₁	#3538	1	1	yes	characteristic
1145	C₂×C₁₁	#3538	1	1	yes	characteristic
1146	C₂×C₁₁	#3538	1	1	yes	characteristic
1147	C₂×C₁₁	#3538	1	1	yes	characteristic
1148	D₁₁	—	2	4	no	—
1149	D₁₁	—	4	2	no	—
1150	C₂⁴	—	11	1	no	—
1151	C₂⁴	—	11	1	no	—
1152	C₂⁴	—	22	2	no	—
1153	C₂⁴	—	22	2	no	—
1154	C₂⁴	—	22	2	no	—
1155	C₂⁴	—	22	2	no	—
1156	C₂⁴	—	22	2	no	—
1157	C₂⁴	—	44	1	no	—
1158	C₂⁴	—	44	1	no	—
1159	C₂⁴	C₂³×D₁₁	1	1	yes	characteristic
1160	C₂×Q₈	—	2	2	no	—
1161	C₂×Q₈	—	2	2	no	—
1162	C₂×Q₈	—	4	1	no	—
1163	C₂×Q₈	—	22	2	no	—
1164	C₂×Q₈	—	22	2	no	—
1165	C₂×Q₈	—	22	2	no	—
1166	C₂×Q₈	—	22	2	no	—
1167	C₂×Q₈	—	22	2	no	—
1168	C₂×Q₈	—	22	2	no	—
1169	C₂×Q₈	—	22	2	no	—
1170	C₂×Q₈	—	22	2	no	—
1171	C₂×Q₈	—	22	2	no	—
1172	C₂×Q₈	—	22	2	no	—
1173	C₂×Q₈	—	44	1	no	—
1174	C₂×Q₈	—	44	1	no	—
1175	C₂×Q₈	—	44	1	no	—
1176	C₂×Q₈	—	44	1	no	—
1177	C₂×Q₈	—	44	1	no	—
1178	C₂×Q₈	—	44	1	no	—
1179	C₂×Q₈	—	44	1	no	—
1180	C₂×Q₈	—	44	1	no	—
1181	C₂×Q₈	—	44	1	no	—
1182	C₂×Q₈	—	44	1	no	—
1183	C₂×Q₈	—	44	1	no	—
1184	C₂×Q₈	—	44	16	no	—
1185	C₂²×C₄	—	2	2	no	—
1186	C₂²×C₄	—	2	2	no	—
1187	C₂²×C₄	—	4	1	no	—
1188	C₂²×C₄	—	11	1	no	—
1189	C₂²×C₄	—	11	1	no	—
1190	C₂²×C₄	—	11	1	no	—
1191	C₂²×C₄	—	11	1	no	—
1192	C₂²×C₄	—	11	4	no	—
1193	C₂²×C₄	—	11	4	no	—
1194	C₂²×C₄	—	11	4	no	—
1195	C₂²×C₄	—	11	1	no	—
1196	C₂²×C₄	—	11	1	no	—
1197	C₂²×C₄	—	11	1	no	—
1198	C₂²×C₄	—	11	1	no	—
1199	C₂²×C₄	—	11	1	no	—
1200	C₂²×C₄	—	11	1	no	—
1201	C₂²×C₄	—	11	1	no	—
1202	C₂²×C₄	—	11	1	no	—
1203	C₂²×C₄	—	11	1	no	—
1204	C₂²×C₄	—	11	1	no	—
1205	C₂²×C₄	—	22	2	no	—
1206	C₂²×C₄	—	22	2	no	—
1207	C₂²×C₄	—	22	2	no	—
1208	C₂²×C₄	—	22	2	no	—
1209	C₂²×C₄	—	22	2	no	—
1210	C₂²×C₄	—	22	2	no	—
1211	C₂²×C₄	—	22	2	no	—
1212	C₂²×C₄	—	22	2	no	—
1213	C₂²×C₄	—	22	2	no	—
1214	C₂²×C₄	—	22	2	no	—
1215	C₂²×C₄	—	22	2	no	—
1216	C₂²×C₄	—	22	2	no	—
1217	C₂²×C₄	—	22	2	no	—
1218	C₂²×C₄	—	22	2	no	—
1219	C₂²×C₄	—	22	2	no	—
1220	C₂²×C₄	—	44	1	no	—
1221	C₂²×C₄	—	44	1	no	—
1222	C₂²×C₄	—	44	1	no	—
1223	C₂²×C₄	—	44	1	no	—
1224	C₂²×C₄	—	44	1	no	—
1225	C₂²×C₄	—	44	1	no	—
1226	C₂²×C₄	—	44	1	no	—
1227	C₂²×C₄	—	44	1	no	—
1228	C₂²×C₄	—	44	16	no	—
1229	C₂²×C₄	—	44	1	no	—
1230	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1231	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1232	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1233	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1234	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1235	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1236	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1237	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1238	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1239	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1240	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1241	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1242	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1243	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1244	C₄⋊C₄	—	2	2	no	—
1245	C₄⋊C₄	—	2	2	no	—
1246	C₄⋊C₄	—	2	2	no	—
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	2	2	no	—
1251	C₄⋊C₄	—	2	2	no	—
1252	C₄⋊C₄	—	4	1	no	—
1253	C₄⋊C₄	—	4	1	no	—
1254	C₄⋊C₄	—	11	4	no	—
1255	C₄⋊C₄	—	11	4	no	—
1256	C₄⋊C₄	—	11	4	no	—
1257	C₄⋊C₄	—	22	2	no	—
1258	C₄⋊C₄	—	22	2	no	—
1259	C₄⋊C₄	—	22	2	no	—
1260	C₄⋊C₄	—	22	2	no	—
1261	C₄⋊C₄	—	22	2	no	—
1262	C₄⋊C₄	—	22	2	no	—
1263	C₄⋊C₄	—	22	2	no	—
1264	C₄⋊C₄	—	22	2	no	—
1265	C₄⋊C₄	—	22	2	no	—
1266	C₄⋊C₄	—	22	2	no	—
1267	C₄⋊C₄	—	22	2	no	—
1268	C₄⋊C₄	—	22	2	no	—
1269	C₄⋊C₄	—	22	2	no	—
1270	C₄⋊C₄	—	22	2	no	—
1271	C₄⋊C₄	—	22	2	no	—
1272	C₄⋊C₄	—	22	2	no	—
1273	C₄⋊C₄	—	22	2	no	—
1274	C₄⋊C₄	—	22	2	no	—
1275	C₄⋊C₄	—	22	2	no	—
1276	C₄⋊C₄	—	22	2	no	—
1277	C₄⋊C₄	—	22	2	no	—
1278	C₄⋊C₄	—	22	2	no	—
1279	C₄⋊C₄	—	22	2	no	—
1280	C₄⋊C₄	—	22	2	no	—
1281	C₄⋊C₄	—	44	1	no	—
1282	C₄⋊C₄	—	44	1	no	—
1283	C₄⋊C₄	—	44	1	no	—
1284	C₄⋊C₄	—	44	1	no	—
1285	C₄⋊C₄	—	44	1	no	—
1286	C₄⋊C₄	—	44	1	no	—
1287	C₄⋊C₄	—	44	1	no	—
1288	C₄⋊C₄	—	44	1	no	—
1289	C₄⋊C₄	—	44	1	no	—
1290	C₄⋊C₄	—	44	1	no	—
1291	C₄⋊C₄	D₄×D₁₁	1	4	yes	—
1292	C₂²⋊C₄	—	2	2	no	—
1293	C₂²⋊C₄	—	2	2	no	—
1294	C₂²⋊C₄	—	2	2	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	22	2	no	—
1299	C₂²⋊C₄	—	22	2	no	—
1300	C₂²⋊C₄	—	22	2	no	—
1301	C₂²⋊C₄	—	22	2	no	—
1302	C₂²⋊C₄	—	22	2	no	—
1303	C₂²⋊C₄	—	22	2	no	—
1304	C₂²⋊C₄	—	22	2	no	—
1305	C₂²⋊C₄	—	22	2	no	—
1306	C₂²⋊C₄	—	22	2	no	—
1307	C₂²⋊C₄	—	22	2	no	—
1308	C₂²⋊C₄	—	22	2	no	—
1309	C₂²⋊C₄	—	22	2	no	—
1310	C₂²⋊C₄	—	22	2	no	—
1311	C₂²⋊C₄	—	22	2	no	—
1312	C₂²⋊C₄	—	22	2	no	—
1313	C₂²⋊C₄	—	22	2	no	—
1314	C₂²⋊C₄	—	22	2	no	—
1315	C₂²⋊C₄	—	22	2	no	—
1316	C₂²⋊C₄	—	22	2	no	—
1317	C₂²⋊C₄	—	44	1	no	—
1318	C₂²⋊C₄	—	44	1	no	—
1319	C₂²⋊C₄	—	44	1	no	—
1320	C₂²⋊C₄	—	44	1	no	—
1321	C₂²⋊C₄	—	44	1	no	—
1322	C₂²⋊C₄	—	44	1	no	—
1323	C₂²⋊C₄	—	44	1	no	—
1324	C₄²	—	2	2	no	—
1325	C₄²	—	4	1	no	—
1326	C₄²	—	22	2	no	—
1327	C₄²	—	22	2	no	—
1328	C₄²	—	22	2	no	—
1329	C₄²	—	44	1	no	—
1330	C₄²	—	44	1	no	—
1331	C₄²	—	44	1	no	—
1332	C₁₁	#36708	1	1	yes	characteristic, complemented, Sylow
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	11	2	no	—
1340	C₂³	—	11	2	no	—
1341	C₂³	—	11	2	no	—
1342	C₂³	—	11	2	no	—
1343	C₂³	—	22	8	no	—
1344	C₂³	—	22	1	no	—
1345	C₂³	—	22	1	no	—
1346	C₂³	—	22	1	no	—
1347	C₂³	—	22	1	no	—
1348	C₂³	—	22	1	no	—
1349	C₂³	—	22	1	no	—
1350	C₂³	—	22	1	no	—
1351	C₂³	—	22	1	no	—
1352	C₂³	—	22	1	no	—
1353	C₂³	—	22	1	no	—
1354	C₂³	—	44	4	no	—
1355	C₂³	—	44	4	no	—
1356	C₂³	—	44	4	no	—
1357	C₂³	—	44	4	no	—
1358	C₂³	—	44	4	no	—
1359	C₂³	—	44	4	no	—
1360	C₂³	#67043	1	2	yes	—
1361	C₂³	C₂⁴×D₁₁	1	1	yes	characteristic
1362	Q₈	—	4	4	no	—
1363	Q₈	—	44	4	no	—
1364	Q₈	—	44	4	no	—
1365	Q₈	—	44	4	no	—
1366	Q₈	—	88	2	no	—
1367	Q₈	—	88	2	no	—
1368	Q₈	—	88	2	no	—
1369	Q₈	—	88	2	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	4	4	no	—
1409	C₂×C₄	—	11	2	no	—
1410	C₂×C₄	—	11	2	no	—
1411	C₂×C₄	—	11	2	no	—
1412	C₂×C₄	—	11	2	no	—
1413	C₂×C₄	—	22	8	no	—
1414	C₂×C₄	—	22	8	no	—
1415	C₂×C₄	—	22	1	no	—
1416	C₂×C₄	—	22	1	no	—
1417	C₂×C₄	—	22	1	no	—
1418	C₂×C₄	—	22	1	no	—
1419	C₂×C₄	—	22	1	no	—
1420	C₂×C₄	—	22	1	no	—
1421	C₂×C₄	—	22	1	no	—
1422	C₂×C₄	—	22	1	no	—
1423	C₂×C₄	—	22	1	no	—
1424	C₂×C₄	—	22	1	no	—
1425	C₂×C₄	—	22	1	no	—
1426	C₂×C₄	—	22	1	no	—
1427	C₂×C₄	—	22	1	no	—
1428	C₂×C₄	—	22	1	no	—
1429	C₂×C₄	—	22	1	no	—
1430	C₂×C₄	—	22	1	no	—
1431	C₂×C₄	—	22	1	no	—
1432	C₂×C₄	—	22	1	no	—
1433	C₂×C₄	—	22	1	no	—
1434	C₂×C₄	—	22	1	no	—
1435	C₂×C₄	—	22	1	no	—
1436	C₂×C₄	—	22	1	no	—
1437	C₂×C₄	—	22	1	no	—
1438	C₂×C₄	—	22	1	no	—
1439	C₂×C₄	—	22	1	no	—
1440	C₂×C₄	—	22	1	no	—
1441	C₂×C₄	—	22	1	no	—
1442	C₂×C₄	—	22	1	no	—
1443	C₂×C₄	—	22	1	no	—
1444	C₂×C₄	—	22	1	no	—
1445	C₂×C₄	—	22	1	no	—
1446	C₂×C₄	—	22	1	no	—
1447	C₂×C₄	—	22	1	no	—
1448	C₂×C₄	—	22	1	no	—
1449	C₂×C₄	—	22	1	no	—
1450	C₂×C₄	—	22	1	no	—
1451	C₂×C₄	—	22	1	no	—
1452	C₂×C₄	—	22	1	no	—
1453	C₂×C₄	—	44	4	no	—
1454	C₂×C₄	—	44	4	no	—
1455	C₂×C₄	—	44	4	no	—
1456	C₂×C₄	—	44	4	no	—
1457	C₂×C₄	—	44	4	no	—
1458	C₂×C₄	—	44	4	no	—
1459	C₂×C₄	—	44	4	no	—
1460	C₂×C₄	C₂×D₄×D₁₁	1	2	yes	—
1461	C₂×C₄	C₂×D₄×D₁₁	1	2	yes	—
1462	C₂×C₄	C₂×D₄×D₁₁	1	2	yes	—
1463	C₂×C₄	#67042	1	2	yes	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	2	2	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	11	4	no	—
1472	C₂²	—	22	2	no	—
1473	C₂²	—	22	2	no	—
1474	C₂²	—	22	2	no	—
1475	C₂²	—	22	2	no	—
1476	C₂²	—	22	2	no	—
1477	C₂²	—	22	2	no	—
1478	C₂²	—	22	2	no	—
1479	C₂²	—	22	2	no	—
1480	C₂²	—	22	2	no	—
1481	C₂²	—	44	16	no	—
1482	C₂²	—	44	1	no	—
1483	C₂²	—	44	1	no	—
1484	C₂²	—	44	1	no	—
1485	C₂²	—	44	1	no	—
1486	C₂²	C₂²×D₄×D₁₁	1	1	yes	characteristic
1487	C₂²	C₂×#67042	1	1	yes	characteristic
1488	C₂²	C₂×#67043	1	1	yes	characteristic
1489	C₂²	D₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1490	C₂²	D₁₁×2₋¹⁺⁴	1	1	yes	characteristic
1491	C₂²	D₁₁×2₋¹⁺⁴	1	1	yes	characteristic
1492	C₂²	D₁₁×2₋¹⁺⁴	1	1	yes	characteristic
1493	C₄	—	2	2	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	2	no	—
1496	C₄	—	2	2	no	—
1497	C₄	—	4	1	no	—
1498	C₄	—	4	1	no	—
1499	C₄	—	4	1	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	22	2	no	—
1508	C₄	—	22	2	no	—
1509	C₄	—	22	2	no	—
1510	C₄	—	22	2	no	—
1511	C₄	—	44	1	no	—
1512	C₄	—	44	1	no	—
1513	C₄	—	44	1	no	—
1514	C₄	—	44	1	no	—
1515	C₄	—	44	1	no	—
1516	C₄	—	44	1	no	—
1517	C₄	—	44	1	no	—
1518	C₄	—	44	1	no	—
1519	C₄	—	44	1	no	—
1520	C₄	—	44	1	no	—
1521	C₂	—	4	2	no	—
1522	C₂	—	22	4	no	—
1523	C₂	—	44	2	no	—
1524	C₂	D₁₁×#536	1	1	yes	characteristic
1525	C₂	#13082246	1	1	yes	characteristic
1526	C₂	#13082262	1	1	yes	characteristic
1527	C₂	#13082860	1	1	yes	characteristic
1528	C₂	#13082862	1	1	yes	characteristic
1529	C₂	#13082863	1	1	yes	characteristic
1530	C₂	#13082864	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₁
commutator, socle, cosocle	C₂³×C₁₁	C₂⁵
Fitting	C₁₁×#2690	C₂
prime radical	C₂⁴×D₁₁	C₂³
hypercenter	#2690	D₁₁
hypocenter	C₁₁	#36708
LCS	G ▷ C₂³×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂³ ◁ #2690

Complements

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

N	H ≅ G/N	type
1. C₂×#10623220	C₂	semidirect
5. #13075089	C₂	semidirect
6. #13075087	C₂	semidirect
7. #13075084	C₂	semidirect
8. #13075082	C₂	semidirect
9. #13075077	C₂	semidirect
10. #13075076	C₂	semidirect
11. #13075075	C₂	semidirect
12. #13074933	C₂	semidirect
13. #13074931	C₂	semidirect
14. #13074930	C₂	semidirect
15. #13074929	C₂	semidirect
16. #13074929	C₂	semidirect
17. #13074928	C₂	semidirect
18. #13074928	C₂	semidirect
19. #13074927	C₂	semidirect
20. #13074434	C₂	semidirect
21. #13074430	C₂	semidirect
24. #13072904	C₂	semidirect
25. #13072901	C₂	semidirect
28. #13072259	C₂	semidirect
29. #13072255	C₂	semidirect
30. #13071215	C₂	semidirect
31. C₁₁×#2690	C₂	semidirect
34. C₂×C₁₁×#125	C₂²	semidirect
37. C₂×#66997	C₂²	semidirect
55. C₂×#66943	C₂²	semidirect
56. C₂×#66942	C₂²	semidirect
57. C₂×#66942	C₂²	semidirect
58. C₂×#66941	C₂²	semidirect
59. C₂×#66941	C₂²	semidirect
60. C₂×#66941	C₂²	semidirect
61. C₂×#66941	C₂²	semidirect
62. C₂×#66941	C₂²	semidirect
69. C₂×#66922	C₂²	semidirect
70. C₂×#66922	C₂²	semidirect
71. C₁₁×#400	C₂²	semidirect
72. C₁₁×#400	C₂²	semidirect
73. C₁₁×#398	C₂²	semidirect
76. C₁₁×#395	C₂²	semidirect
77. C₁₁×#391	C₂²	semidirect
80. C₁₁×#387	C₂²	semidirect
81. C₁₁×#387	C₂²	semidirect
84. #10622842	C₂²	semidirect
95. #10622597	C₂²	semidirect
96. #10622597	C₂²	semidirect
97. #10622597	C₂²	semidirect
98. #10622596	C₂²	semidirect
99. #10622596	C₂²	semidirect
100. #10622595	C₂²	semidirect
101. #10622595	C₂²	semidirect
102. #10622594	C₂²	semidirect
103. #10622592	C₂²	semidirect
104. #10622592	C₂²	semidirect
105. #10622592	C₂²	semidirect
106. #10622591	C₂²	semidirect
107. #10622591	C₂²	semidirect
108. #10622587	C₂²	semidirect
131. #10622546	C₂²	semidirect
132. #10622546	C₂²	semidirect
161. #10622274	C₂²	semidirect
162. #10622274	C₂²	semidirect
163. #10622274	C₂²	semidirect
164. #10622273	C₂²	semidirect
165. #10622273	C₂²	semidirect
166. #10622271	C₂²	semidirect
167. #10622271	C₂²	semidirect
168. #10622270	C₂²	semidirect
169. #10622270	C₂²	semidirect
170. #10622270	C₂²	semidirect
171. #10622269	C₂²	semidirect
172. #10622269	C₂²	semidirect
173. #10622269	C₂²	semidirect
174. #10622269	C₂²	semidirect
175. #10622269	C₂²	semidirect
176. #10622269	C₂²	semidirect
177. #10622269	C₂²	semidirect
178. #10622268	C₂²	semidirect
179. #10622268	C₂²	semidirect
180. #10622268	C₂²	semidirect
181. #10622267	C₂²	semidirect
182. #10622267	C₂²	semidirect
183. #10622267	C₂²	semidirect
184. #10622266	C₂²	semidirect
185. #10622266	C₂²	semidirect
186. #10622265	C₂²	semidirect
187. #10622259	C₂²	semidirect
188. #10622259	C₂²	semidirect
579. #2690	D₁₁	semidirect
744. C₂×#125	C₂×D₁₁	semidirect
775. #400	C₂×D₁₁	semidirect
776. #400	C₂×D₁₁	semidirect
792. #398	C₂×D₁₁	semidirect
812. #395	C₂×D₁₁	semidirect
820. #391	C₂×D₁₁	semidirect
851. #387	C₂×D₁₁	semidirect
852. #387	C₂×D₁₁	semidirect
1332. C₁₁	#36708	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10623220	2
C₂×D₁₁×C₂²⋊Q₈	2
#13076904	2
#13076902	2
#13075089	2
#13075087	2
#13075084	2
#13075082	2
#13075077	2
#13075076	2
#13075075	2
#13074933	2
#13074931	2
#13074930	2
#13074929	2
#13074928	2
#13074927	2
#13074434	2
#13074430	2
#13073772	2
#13073768	2
#13072904	2
#13072901	2
#13072888	2
#13072885	2
#13072259	2
#13072255	2
#13071215	2
C₁₁×#2690	2
#36708	11