Subgroups — #35614367

Order 21248.

1454 conjugacy classes of subgroups.

The subgroup lattice has 1268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#24915772	C₂	1	1	yes	maximal, characteristic
2	#24915772	C₂	1	1	yes	maximal, characteristic
3	#24915211	C₂	1	1	yes	maximal, characteristic
4	#24915203	C₂	1	1	yes	maximal, characteristic
5	#24915196	C₂	1	1	yes	maximal, characteristic
6	#24915188	C₂	1	1	yes	maximal, characteristic
7	#24915022	C₂	1	1	yes	maximal, characteristic, complemented
8	#24915014	C₂	1	1	yes	maximal, characteristic, complemented
9	#24914972	C₂	1	1	yes	maximal, characteristic
10	#24914970	C₂	1	1	yes	maximal, characteristic
11	#24914948	C₂	1	1	yes	maximal, characteristic
12	#24914946	C₂	1	1	yes	maximal, characteristic
13	#24914914	C₂	1	1	yes	maximal, characteristic, complemented
14	#24914906	C₂	1	1	yes	maximal, characteristic, complemented
15	#24914417	C₂	1	1	yes	maximal, characteristic, complemented
16	#24914411	C₂	1	1	yes	maximal, characteristic, complemented
17	#24914329	C₂	1	1	yes	maximal, characteristic, complemented
18	#24914321	C₂	1	1	yes	maximal, characteristic, complemented
19	#24913558	C₂	1	1	yes	maximal, characteristic, complemented
20	#24913556	C₂	1	1	yes	maximal, characteristic, complemented
21	#24913159	C₂	1	1	yes	maximal, characteristic
22	#24913118	C₂	1	1	yes	maximal, characteristic, complemented
23	#24913038	C₂	1	1	yes	maximal, characteristic
24	#24912923	C₂	1	1	yes	maximal, characteristic, complemented
25	#24912849	C₂	1	1	yes	maximal, characteristic, complemented
26	#24911636	C₂	1	1	yes	maximal, characteristic
27	#24911634	C₂	1	1	yes	maximal, characteristic
28	#24910262	C₂	1	1	yes	maximal, characteristic, complemented
29	#24910112	C₂	1	1	yes	maximal, characteristic, complemented
30	#24909943	C₂	1	1	yes	maximal, characteristic
31	C₈₃×#2590	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14581784	C₂²	1	1	yes	characteristic
33	C₂×#14581783	C₂²	1	1	yes	characteristic
34	C₂×#14581783	C₂²	1	1	yes	characteristic
35	C₂×#14581782	C₂²	1	1	yes	characteristic
36	C₂×#14581782	C₂²	1	1	yes	characteristic
37	C₂×#14581757	C₂²	1	1	yes	characteristic
38	C₂×#14581749	C₂²	1	1	yes	characteristic
39	C₂×#14581749	C₂²	1	1	yes	characteristic
40	C₂×C₄²×D₈₃	C₂²	1	1	yes	characteristic
41	C₈₃⋊#401	C₂²	1	1	yes	characteristic
42	C₈₃⋊#401	C₂²	1	1	yes	characteristic
43	#19127643	C₂²	1	1	yes	characteristic
44	#19127643	C₂²	1	1	yes	characteristic
45	#19127643	C₂²	1	1	yes	characteristic
46	#19127643	C₂²	1	1	yes	characteristic
47	#19127642	C₂²	1	1	yes	characteristic
48	#19127642	C₂²	1	1	yes	characteristic
49	#19127642	C₂²	1	1	yes	characteristic
50	#19127642	C₂²	1	1	yes	characteristic
51	#19127641	C₂²	1	1	yes	characteristic
52	#19127641	C₂²	1	1	yes	characteristic
53	#19127641	C₂²	1	1	yes	characteristic
54	#19127640	C₂²	1	1	yes	characteristic
55	#19127636	C₂²	1	1	yes	characteristic
56	#19127635	C₂²	1	1	yes	characteristic
57	#19127635	C₂²	1	1	yes	characteristic
58	#19127635	C₂²	1	1	yes	characteristic
59	#19127635	C₂²	1	1	yes	characteristic
60	#19127635	C₂²	1	1	yes	characteristic
61	#19127635	C₂²	1	1	yes	characteristic
62	#19127634	C₂²	1	1	yes	characteristic
63	#19127634	C₂²	1	1	yes	characteristic
64	#19127634	C₂²	1	1	yes	characteristic
65	#19127634	C₂²	1	1	yes	characteristic
66	#19127634	C₂²	1	1	yes	characteristic
67	#19127634	C₂²	1	1	yes	characteristic
68	#19127634	C₂²	1	1	yes	characteristic
69	#19127634	C₂²	1	1	yes	characteristic
70	#19127633	C₂²	1	1	yes	characteristic
71	#19127633	C₂²	1	1	yes	characteristic
72	#19127631	C₂²	1	1	yes	characteristic
73	#19127631	C₂²	1	1	yes	characteristic
74	#19127631	C₂²	1	1	yes	characteristic
75	#19127630	C₂²	1	1	yes	characteristic
76	#19127630	C₂²	1	1	yes	characteristic
77	#19127630	C₂²	1	1	yes	characteristic
78	#19127630	C₂²	1	1	yes	characteristic
79	#19127625	C₂²	1	1	yes	characteristic
80	#19127623	C₂²	1	1	yes	characteristic
81	#19127622	C₂²	1	1	yes	characteristic
82	#19127621	C₂²	1	1	yes	characteristic
83	#19127621	C₂²	1	1	yes	characteristic
84	#19127614	C₂²	1	1	yes	characteristic
85	#19127605	C₂²	1	1	yes	characteristic
86	#19127605	C₂²	1	1	yes	characteristic
87	#19127600	C₂²	1	1	yes	characteristic
88	#19127599	C₂²	1	1	yes	characteristic
89	#19127599	C₂²	1	1	yes	characteristic
90	#19127599	C₂²	1	1	yes	characteristic
91	#19127598	C₂²	1	1	yes	characteristic
92	#19127598	C₂²	1	1	yes	characteristic
93	#19127598	C₂²	1	1	yes	characteristic
94	#19127598	C₂²	1	1	yes	characteristic
95	#19127598	C₂²	1	1	yes	characteristic
96	#19127598	C₂²	1	1	yes	characteristic
97	#19127598	C₂²	1	1	yes	characteristic
98	#19127597	C₂²	1	1	yes	characteristic
99	#19127596	C₂²	1	1	yes	characteristic
100	#19127596	C₂²	1	1	yes	characteristic
101	#19127596	C₂²	1	1	yes	characteristic
102	#19127596	C₂²	1	1	yes	characteristic
103	#19127596	C₂²	1	1	yes	characteristic
104	#19127596	C₂²	1	1	yes	characteristic
105	#19127596	C₂²	1	1	yes	characteristic
106	#19127596	C₂²	1	1	yes	characteristic
107	#19127596	C₂²	1	1	yes	characteristic
108	#19127593	C₂²	1	1	yes	characteristic
109	#19127593	C₂²	1	1	yes	characteristic
110	#19127592	C₂²	1	1	yes	characteristic
111	#19127592	C₂²	1	1	yes	characteristic
112	#19127591	C₂²	1	1	yes	characteristic
113	#19127591	C₂²	1	1	yes	characteristic
114	#19127590	C₂²	1	1	yes	characteristic
115	#19127590	C₂²	1	1	yes	characteristic
116	#19127588	C₂²	1	1	yes	characteristic
117	#19127588	C₂²	1	1	yes	characteristic
118	#19127588	C₂²	1	1	yes	characteristic
119	#19127587	C₂²	1	1	yes	characteristic
120	#19127587	C₂²	1	1	yes	characteristic
121	#19127587	C₂²	1	1	yes	characteristic
122	#19127587	C₂²	1	1	yes	characteristic
123	#19127587	C₂²	1	1	yes	characteristic
124	#19127587	C₂²	1	1	yes	characteristic
125	#19127587	C₂²	1	1	yes	characteristic
126	#19127586	C₂²	1	1	yes	characteristic
127	#19127585	C₂²	1	1	yes	characteristic
128	#19127585	C₂²	1	1	yes	characteristic
129	#19127585	C₂²	1	1	yes	characteristic
130	#19127585	C₂²	1	1	yes	characteristic
131	#19127585	C₂²	1	1	yes	characteristic
132	#19127585	C₂²	1	1	yes	characteristic
133	#19127585	C₂²	1	1	yes	characteristic
134	#19127584	C₂²	1	1	yes	characteristic
135	#19127584	C₂²	1	1	yes	characteristic
136	#19127583	C₂²	1	1	yes	characteristic
137	#19127583	C₂²	1	1	yes	characteristic
138	#19127583	C₂²	1	1	yes	characteristic
139	#19127583	C₂²	1	1	yes	characteristic
140	#19127583	C₂²	1	1	yes	characteristic
141	#19127583	C₂²	1	1	yes	characteristic
142	#19127582	C₂²	1	1	yes	characteristic
143	#19127582	C₂²	1	1	yes	characteristic
144	#19127575	C₂²	1	1	yes	characteristic
145	#19127575	C₂²	1	1	yes	characteristic
146	#19127575	C₂²	1	1	yes	characteristic
147	#19127575	C₂²	1	1	yes	characteristic
148	#19127575	C₂²	1	1	yes	characteristic
149	#19127575	C₂²	1	1	yes	characteristic
150	#19127572	C₂²	1	1	yes	characteristic
151	#19127572	C₂²	1	1	yes	characteristic
152	#19127572	C₂²	1	1	yes	characteristic
153	#19127572	C₂²	1	1	yes	characteristic
154	#19127572	C₂²	1	1	yes	characteristic
155	#19127572	C₂²	1	1	yes	characteristic
156	#19127568	C₂²	1	1	yes	characteristic
157	#19127568	C₂²	1	1	yes	characteristic
158	#19127568	C₂²	1	1	yes	characteristic
159	#19127566	C₂²	1	1	yes	characteristic
160	#19127566	C₂²	1	1	yes	characteristic
161	#19127566	C₂²	1	1	yes	characteristic
162	#19127565	C₂²	1	1	yes	characteristic
163	#19127558	C₂²	1	1	yes	characteristic
164	#19127558	C₂²	1	1	yes	characteristic
165	#19127558	C₂²	1	1	yes	characteristic
166	#19127558	C₂²	1	1	yes	characteristic
167	C₄×Dic₈₃⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×Dic₈₃⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×Dic₈₃⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₄⋊Dic₈₃	C₂²	1	1	yes	characteristic
171	#19127546	C₂²	1	1	yes	characteristic
172	#400×C₈₃	C₂²	1	1	yes	characteristic
173	#398×C₈₃	C₂²	1	1	yes	characteristic
174	#398×C₈₃	C₂²	1	1	yes	characteristic
175	#398×C₈₃	C₂²	1	1	yes	characteristic
176	#389×C₈₃	C₂²	1	1	yes	characteristic
177	#389×C₈₃	C₂²	1	1	yes	characteristic
178	#389×C₈₃	C₂²	1	1	yes	characteristic
179	#387×C₈₃	C₂²	1	1	yes	characteristic
180	#387×C₈₃	C₂²	1	1	yes	characteristic
181	#387×C₈₃	C₂²	1	1	yes	characteristic
182	#387×C₈₃	C₂²	1	1	yes	characteristic
183	#387×C₈₃	C₂²	1	1	yes	characteristic
184	#387×C₈₃	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₈₃	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₈₃	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₆₆	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
191	#14581784	—	4	2	no	—
192	#14581783	—	4	2	no	—
193	#14581783	—	4	2	no	—
194	#14581782	—	2	4	no	—
195	#14581782	—	4	2	no	—
196	#14581757	—	2	4	no	—
197	#14581749	—	2	4	no	—
198	#14581749	—	4	2	no	—
199	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
212	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
265	C₄²×D₈₃	—	4	2	no	—
266	C₈₃⋊#95	C₂³	1	1	yes	characteristic
267	C₈₃⋊#95	C₂³	1	1	yes	characteristic
268	C₈₃⋊#95	C₂³	1	1	yes	characteristic
269	C₈₃⋊#95	C₂³	1	1	yes	characteristic
270	C₈₃⋊#95	C₂³	1	1	yes	characteristic
271	C₈₃⋊#95	C₂³	1	1	yes	characteristic
272	C₈₃⋊#95	C₂³	1	1	yes	characteristic
273	C₈₃⋊#95	C₂³	1	1	yes	characteristic
274	C₈₃⋊#95	C₂³	1	1	yes	characteristic
275	C₈₃⋊#95	C₂³	1	1	yes	characteristic
276	C₈₃⋊#95	C₂³	1	1	yes	characteristic
277	C₈₃⋊#95	C₂³	1	1	yes	characteristic
278	C₈₃⋊#95	C₂³	1	1	yes	characteristic
279	C₈₃⋊#95	C₂³	1	1	yes	characteristic
280	C₈₃⋊#95	C₂³	1	1	yes	characteristic
281	C₈₃⋊#95	C₂³	1	1	yes	characteristic
282	C₈₃⋊#95	C₂³	1	1	yes	characteristic
283	C₈₃⋊#95	C₂³	1	1	yes	characteristic
284	C₈₃⋊#95	C₂³	1	1	yes	characteristic
285	C₈₃⋊#95	C₂³	1	1	yes	characteristic
286	C₈₃⋊#95	C₂³	1	1	yes	characteristic
287	C₈₃⋊#95	C₂³	1	1	yes	characteristic
288	C₈₃⋊#95	C₂³	1	1	yes	characteristic
289	C₈₃⋊#95	C₂³	1	1	yes	characteristic
290	C₈₃⋊#95	C₂³	1	1	yes	characteristic
291	C₈₃⋊#95	C₂³	1	1	yes	characteristic
292	C₈₃⋊#95	C₂³	1	1	yes	characteristic
293	C₈₃⋊#95	C₂³	1	1	yes	characteristic
294	C₈₃⋊#95	C₂³	1	1	yes	characteristic
295	C₈₃⋊#95	C₂³	1	1	yes	characteristic
296	C₈₃⋊#95	C₂³	1	1	yes	characteristic
297	C₈₃⋊#95	C₂³	1	1	yes	characteristic
298	C₈₃⋊#95	C₂³	1	1	yes	characteristic
299	C₈₃⋊#95	C₂³	1	1	yes	characteristic
300	C₈₃⋊#95	C₂³	1	1	yes	characteristic
301	C₈₃⋊#95	C₂³	1	1	yes	characteristic
302	C₈₃⋊#95	C₂³	1	1	yes	characteristic
303	C₈₃⋊#95	C₂³	1	1	yes	characteristic
304	C₈₃⋊#95	C₂³	1	1	yes	characteristic
305	C₈₃⋊#95	C₂³	1	1	yes	characteristic
306	C₈₃⋊#95	C₂³	1	1	yes	characteristic
307	C₈₃⋊#95	C₂³	1	1	yes	characteristic
308	C₈₃⋊#95	C₂³	1	1	yes	characteristic
309	C₈₃⋊#95	C₂³	1	1	yes	characteristic
310	C₈₃⋊#95	C₂³	1	1	yes	characteristic
311	C₈₃⋊#95	C₂³	1	1	yes	characteristic
312	C₈₃⋊#95	C₂³	1	1	yes	characteristic
313	C₈₃⋊#95	C₂³	1	1	yes	characteristic
314	C₈₃⋊#95	C₂³	1	1	yes	characteristic
315	C₈₃⋊#95	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
335	#95×C₈₃	C₂³	1	1	yes	characteristic
336	#95×C₈₃	C₂³	1	1	yes	characteristic
337	#95×C₈₃	C₂³	1	1	yes	characteristic
338	#95×C₈₃	C₂³	1	1	yes	characteristic
339	#95×C₈₃	C₂³	1	1	yes	characteristic
340	#95×C₈₃	C₂³	1	1	yes	characteristic
341	#95×C₈₃	C₂³	1	1	yes	characteristic
342	#95×C₈₃	C₂³	1	1	yes	characteristic
343	#95×C₈₃	C₂³	1	1	yes	characteristic
344	#95×C₈₃	C₂³	1	1	yes	characteristic
345	#95×C₈₃	C₂³	1	1	yes	characteristic
346	#95×C₈₃	C₂³	1	1	yes	characteristic
347	#95×C₈₃	C₂³	1	1	yes	characteristic
348	#95×C₈₃	C₂³	1	1	yes	characteristic
349	#95×C₈₃	C₂³	1	1	yes	characteristic
350	#95×C₈₃	C₂³	1	1	yes	characteristic
351	C₂³×D₈₃	C₂⁴	1	1	yes	characteristic
352	C₂×Dic₁₆₆	—	2	2	no	—
353	C₂×Dic₁₆₆	—	4	1	no	—
354	C₂×Dic₁₆₆	—	4	1	no	—
355	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
356	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
357	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
358	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
359	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
360	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
361	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
362	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
363	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
364	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
365	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
370	C₂×C₄×D₈₃	—	2	2	no	—
371	C₂×C₄×D₈₃	—	2	2	no	—
372	C₂×C₄×D₈₃	—	2	2	no	—
373	C₂×C₄×D₈₃	—	2	2	no	—
374	C₂×C₄×D₈₃	—	2	2	no	—
375	C₂×C₄×D₈₃	—	4	1	no	—
376	C₂×C₄×D₈₃	—	4	1	no	—
377	C₂×C₄×D₈₃	—	4	1	no	—
378	C₂×C₄×D₈₃	—	4	1	no	—
379	C₄⋊Dic₈₃	—	2	2	no	—
380	C₄⋊Dic₈₃	—	2	2	no	—
381	C₄⋊Dic₈₃	—	2	2	no	—
382	C₄⋊Dic₈₃	—	4	1	no	—
383	C₄⋊Dic₈₃	—	4	1	no	—
384	C₄⋊Dic₈₃	—	4	1	no	—
385	C₄⋊Dic₈₃	—	4	1	no	—
386	C₄⋊Dic₈₃	—	4	1	no	—
387	C₄⋊Dic₈₃	—	4	1	no	—
388	C₄⋊Dic₈₃	—	4	1	no	—
389	C₄⋊Dic₈₃	—	4	1	no	—
390	C₄⋊Dic₈₃	—	4	1	no	—
391	C₄⋊Dic₈₃	—	4	1	no	—
392	Dic₈₃⋊C₄	—	2	2	no	—
393	Dic₈₃⋊C₄	—	2	2	no	—
394	Dic₈₃⋊C₄	—	2	2	no	—
395	Dic₈₃⋊C₄	—	2	2	no	—
396	Dic₈₃⋊C₄	—	2	2	no	—
397	Dic₈₃⋊C₄	—	2	2	no	—
398	Dic₈₃⋊C₄	—	2	2	no	—
399	Dic₈₃⋊C₄	—	2	2	no	—
400	Dic₈₃⋊C₄	—	2	2	no	—
401	Dic₈₃⋊C₄	—	2	2	no	—
402	Dic₈₃⋊C₄	—	2	2	no	—
403	Dic₈₃⋊C₄	—	2	2	no	—
404	Dic₈₃⋊C₄	—	2	2	no	—
405	Dic₈₃⋊C₄	—	2	2	no	—
406	Dic₈₃⋊C₄	—	2	2	no	—
407	Dic₈₃⋊C₄	—	2	2	no	—
408	Dic₈₃⋊C₄	—	4	1	no	—
409	Dic₈₃⋊C₄	—	4	1	no	—
410	Dic₈₃⋊C₄	—	4	1	no	—
411	Dic₈₃⋊C₄	—	4	1	no	—
412	Dic₈₃⋊C₄	—	4	1	no	—
413	Dic₈₃⋊C₄	—	4	1	no	—
414	Dic₈₃⋊C₄	—	4	1	no	—
415	Dic₈₃⋊C₄	—	4	1	no	—
416	Dic₈₃⋊C₄	—	4	1	no	—
417	Dic₈₃⋊C₄	—	4	1	no	—
418	Dic₈₃⋊C₄	—	4	1	no	—
419	Dic₈₃⋊C₄	—	4	1	no	—
420	Dic₈₃⋊C₄	—	4	1	no	—
421	Dic₈₃⋊C₄	—	4	1	no	—
422	(C₂×D₈₃)⋊C₄	—	2	2	no	—
423	(C₂×D₈₃)⋊C₄	—	2	2	no	—
424	(C₂×D₈₃)⋊C₄	—	2	2	no	—
425	(C₂×D₈₃)⋊C₄	—	2	2	no	—
426	(C₂×D₈₃)⋊C₄	—	2	2	no	—
427	(C₂×D₈₃)⋊C₄	—	2	2	no	—
428	(C₂×D₈₃)⋊C₄	—	4	1	no	—
429	(C₂×D₈₃)⋊C₄	—	4	1	no	—
430	(C₂×D₈₃)⋊C₄	—	4	1	no	—
431	(C₂×D₈₃)⋊C₄	—	4	1	no	—
432	(C₂×D₈₃)⋊C₄	—	4	1	no	—
433	(C₂×D₈₃)⋊C₄	—	4	1	no	—
434	C₄×Dic₈₃	—	2	2	no	—
435	C₄×Dic₈₃	—	2	2	no	—
436	C₄×Dic₈₃	—	2	2	no	—
437	C₄×Dic₈₃	—	2	2	no	—
438	C₄×Dic₈₃	—	4	1	no	—
439	C₄×Dic₈₃	—	4	1	no	—
440	C₄×Dic₈₃	—	4	1	no	—
441	C₄×Dic₈₃	—	4	1	no	—
442	C₄×Dic₈₃	—	4	1	no	—
443	C₄×Dic₈₃	—	4	1	no	—
444	C₄×Dic₈₃	#41	1	4	yes	—
445	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
460	C₄⋊C₄×C₈₃	—	2	2	no	—
461	C₄⋊C₄×C₈₃	—	2	2	no	—
462	C₄⋊C₄×C₈₃	—	2	2	no	—
463	C₄⋊C₄×C₈₃	—	2	2	no	—
464	C₄⋊C₄×C₈₃	—	2	2	no	—
465	C₄⋊C₄×C₈₃	—	2	2	no	—
466	C₄⋊C₄×C₈₃	—	4	1	no	—
467	C₄⋊C₄×C₈₃	—	4	1	no	—
468	C₄⋊C₄×C₈₃	—	4	1	no	—
469	C₄⋊C₄×C₈₃	—	4	1	no	—
470	C₄⋊C₄×C₈₃	—	4	1	no	—
471	C₄⋊C₄×C₈₃	—	4	1	no	—
472	C₄⋊C₄×C₈₃	—	4	1	no	—
473	C₄⋊C₄×C₈₃	—	4	1	no	—
474	C₄²×C₈₃	—	2	2	no	—
475	C₄²×C₈₃	—	4	1	no	—
476	C₄²×C₈₃	—	4	1	no	—
477	C₄²×C₈₃	—	4	1	no	—
478	C₄²×C₈₃	—	4	1	no	—
479	C₂³×C₈₃	C₂⁵	1	1	yes	characteristic
480	C₂²×D₈₃	—	2	1	no	—
481	C₂²×D₈₃	—	2	1	no	—
482	C₂²×D₈₃	—	2	1	no	—
483	C₂²×D₈₃	—	2	1	no	—
484	C₂²×D₈₃	—	2	1	no	—
485	C₂²×D₈₃	—	2	1	no	—
486	C₂²×D₈₃	2₋¹⁺⁴	1	2	yes	—
487	C₂×C₄×C₈₃	—	2	1	no	—
488	C₂×C₄×C₈₃	—	2	1	no	—
489	C₂×C₄×C₈₃	—	2	1	no	—
490	C₂×C₄×C₈₃	—	2	1	no	—
491	C₂×C₄×C₈₃	—	2	1	no	—
492	C₂×C₄×C₈₃	—	2	1	no	—
493	C₂×C₄×C₈₃	—	2	1	no	—
494	C₂×C₄×C₈₃	—	2	1	no	—
495	C₂×C₄×C₈₃	—	2	1	no	—
496	C₂×C₄×C₈₃	—	2	1	no	—
497	C₂×C₄×C₈₃	—	2	1	no	—
498	C₂×C₄×C₈₃	—	2	1	no	—
499	C₂×C₄×C₈₃	—	2	1	no	—
500	C₂×C₄×C₈₃	—	2	1	no	—
501	C₂×C₄×C₈₃	—	2	1	no	—
502	C₂×C₄×C₈₃	—	2	1	no	—
503	C₂×C₄×C₈₃	—	2	1	no	—
504	C₂×C₄×C₈₃	—	2	1	no	—
505	C₂×C₄×C₈₃	—	2	1	no	—
506	C₂×C₄×C₈₃	—	2	1	no	—
507	C₂×C₄×C₈₃	—	2	1	no	—
508	C₂×C₄×C₈₃	—	2	1	no	—
509	C₂×C₄×C₈₃	—	2	1	no	—
510	C₂×C₄×C₈₃	—	2	1	no	—
511	C₂×C₄×C₈₃	—	2	1	no	—
512	C₂×C₄×C₈₃	—	2	1	no	—
513	C₂×C₄×C₈₃	—	2	1	no	—
514	C₂×C₄×C₈₃	—	2	1	no	—
515	C₂×C₄×C₈₃	—	2	1	no	—
516	C₂×C₄×C₈₃	—	2	1	no	—
517	C₂×C₄×C₈₃	—	2	1	no	—
518	C₂×C₄×C₈₃	—	2	1	no	—
519	C₂×C₄×C₈₃	—	2	1	no	—
520	C₂×C₄×C₈₃	—	2	1	no	—
521	C₂×C₄×C₈₃	—	2	1	no	—
522	C₂×C₄×C₈₃	—	2	1	no	—
523	C₂×C₄×C₈₃	—	2	1	no	—
524	C₂×C₄×C₈₃	—	2	1	no	—
525	C₂×C₄×C₈₃	—	2	1	no	—
526	C₂×C₄×C₈₃	—	2	1	no	—
527	C₂×C₄×C₈₃	—	2	1	no	—
528	C₂×C₄×C₈₃	—	2	1	no	—
529	C₂×C₄×C₈₃	C₂×#41	1	2	yes	—
530	C₂×C₄×C₈₃	2₋¹⁺⁴	1	2	yes	—
531	C₂×C₄×C₈₃	2₋¹⁺⁴	1	2	yes	—
532	C₂×Dic₈₃	—	2	1	no	—
533	C₂×Dic₈₃	—	2	1	no	—
534	C₂×Dic₈₃	—	2	1	no	—
535	C₂×Dic₈₃	—	2	1	no	—
536	C₂×Dic₈₃	—	2	1	no	—
537	C₂×Dic₈₃	—	2	1	no	—
538	C₂×Dic₈₃	—	2	1	no	—
539	C₂×Dic₈₃	—	2	1	no	—
540	C₂×Dic₈₃	—	2	1	no	—
541	C₂×Dic₈₃	—	2	1	no	—
542	C₂×Dic₈₃	—	2	1	no	—
543	C₂×Dic₈₃	—	2	1	no	—
544	C₂×Dic₈₃	—	2	1	no	—
545	C₂×Dic₈₃	—	2	1	no	—
546	C₂×Dic₈₃	—	2	1	no	—
547	C₂×Dic₈₃	—	2	1	no	—
548	C₂×Dic₈₃	—	2	1	no	—
549	C₂×Dic₈₃	—	2	1	no	—
550	C₂×Dic₈₃	—	2	1	no	—
551	C₂×Dic₈₃	—	2	1	no	—
552	C₂×Dic₈₃	—	2	1	no	—
553	C₂×Dic₈₃	—	2	1	no	—
554	C₂×Dic₈₃	—	2	1	no	—
555	C₂×Dic₈₃	—	2	1	no	—
556	C₂×Dic₈₃	—	2	1	no	—
557	C₂×Dic₈₃	—	2	1	no	—
558	C₂×Dic₈₃	—	2	1	no	—
559	C₂×Dic₈₃	—	2	1	no	—
560	C₂×Dic₈₃	—	2	1	no	—
561	C₂×Dic₈₃	—	2	1	no	—
562	C₂×Dic₈₃	—	2	1	no	—
563	C₂×Dic₈₃	—	2	1	no	—
564	C₂×Dic₈₃	—	2	1	no	—
565	C₂×Dic₈₃	—	2	1	no	—
566	C₂×Dic₈₃	—	2	1	no	—
567	C₂×Dic₈₃	—	2	1	no	—
568	C₂×Dic₈₃	—	2	1	no	—
569	C₂×Dic₈₃	—	2	1	no	—
570	C₂×Dic₈₃	—	2	1	no	—
571	C₂×Dic₈₃	—	2	1	no	—
572	C₂×Dic₈₃	—	2	1	no	—
573	C₂×Dic₈₃	—	2	1	no	—
574	C₂×Dic₈₃	C₂×#41	1	2	yes	—
575	C₂×Dic₈₃	C₂×#41	1	2	yes	—
576	C₂×Dic₈₃	H(5,𝔽₂)	1	2	yes	—
577	C₄×D₈₃	—	2	8	no	—
578	C₄×D₈₃	—	4	4	no	—
579	C₄×D₈₃	—	4	4	no	—
580	Dic₁₆₆	—	4	4	no	—
581	C₂²×C₈₃	C₂²×#41	1	1	yes	characteristic
582	C₂²×C₈₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
583	C₂²×C₈₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
584	C₂²×C₈₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
585	C₂²×C₈₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
586	C₂²×C₈₃	#585	1	1	yes	characteristic
587	C₂²×C₈₃	#585	1	1	yes	characteristic
588	C₂×D₈₃	—	2	2	no	—
589	C₂×D₈₃	—	2	2	no	—
590	C₂×D₈₃	—	2	2	no	—
591	C₂×D₈₃	—	4	1	no	—
592	C₂×D₈₃	—	4	1	no	—
593	C₂×D₈₃	—	4	1	no	—
594	C₂×D₈₃	—	4	1	no	—
595	C₄×C₈₃	—	2	2	no	—
596	C₄×C₈₃	—	2	2	no	—
597	C₄×C₈₃	—	2	2	no	—
598	C₄×C₈₃	—	4	1	no	—
599	C₄×C₈₃	—	4	1	no	—
600	C₄×C₈₃	—	4	1	no	—
601	C₄×C₈₃	—	4	1	no	—
602	C₄×C₈₃	—	4	1	no	—
603	C₄×C₈₃	—	4	1	no	—
604	C₄×C₈₃	—	4	1	no	—
605	C₄×C₈₃	—	4	1	no	—
606	C₄×C₈₃	—	4	1	no	—
607	C₄×C₈₃	—	4	1	no	—
608	C₄×C₈₃	—	4	1	no	—
609	C₄×C₈₃	—	4	1	no	—
610	Dic₈₃	—	2	2	no	—
611	Dic₈₃	—	2	2	no	—
612	Dic₈₃	—	2	2	no	—
613	Dic₈₃	—	4	1	no	—
614	Dic₈₃	—	4	1	no	—
615	Dic₈₃	—	4	1	no	—
616	Dic₈₃	—	4	1	no	—
617	Dic₈₃	—	4	1	no	—
618	Dic₈₃	—	4	1	no	—
619	Dic₈₃	—	4	1	no	—
620	Dic₈₃	—	4	1	no	—
621	Dic₈₃	—	4	1	no	—
622	Dic₈₃	—	4	1	no	—
623	Dic₈₃	—	4	1	no	—
624	Dic₈₃	—	4	1	no	—
625	#36834	—	83	1	no	maximal, Sylow
626	C₂×C₈₃	#3455	1	1	yes	characteristic
627	C₂×C₈₃	#3492	1	1	yes	characteristic
628	C₂×C₈₃	#3509	1	1	yes	characteristic
629	C₂×C₈₃	#3541	1	1	yes	characteristic
630	C₂×C₈₃	#3541	1	1	yes	characteristic
631	C₂×C₈₃	#3563	1	1	yes	characteristic
632	C₂×C₈₃	#3563	1	1	yes	characteristic
633	D₈₃	—	4	2	no	—
634	#2851	—	83	1	no	—
635	#2851	—	83	1	no	—
636	#2788	—	83	1	no	—
637	#2788	—	83	1	no	—
638	#2787	—	83	1	no	—
639	#2787	—	83	1	no	—
640	#2774	—	83	1	no	—
641	#2774	—	83	1	no	—
642	#2770	—	83	1	no	—
643	#2770	—	83	1	no	—
644	#2768	—	83	1	no	—
645	#2768	—	83	1	no	—
646	#2766	—	83	1	no	—
647	#2766	—	83	1	no	—
648	#2726	—	83	1	no	—
649	#2726	—	83	1	no	—
650	#2719	—	83	1	no	—
651	#2719	—	83	1	no	—
652	#2655	—	83	1	no	—
653	#2655	—	83	1	no	—
654	#2611	—	83	1	no	—
655	#2606	—	83	1	no	—
656	#2599	—	83	1	no	—
657	#2590	—	83	1	no	—
658	#2590	D₈₃	1	1	yes	characteristic, complemented
659	#2584	—	83	1	no	—
660	#2475	—	83	1	no	—
661	#2475	—	83	1	no	—
662	#2336	—	83	1	no	—
663	#2320	—	83	1	no	—
664	#2296	—	83	1	no	—
665	C₈₃	#36834	1	1	yes	characteristic, complemented, Sylow
666	C₂×#125	—	83	1	no	—
667	C₂×#125	—	83	1	no	—
668	C₂×#125	—	83	1	no	—
669	C₂×#125	—	83	1	no	—
670	C₂×#125	—	83	1	no	—
671	C₂×C₄×Q₈	—	83	1	no	—
672	C₂×#117	—	83	1	no	—
673	C₂×#117	—	83	1	no	—
674	C₂²×C₄²	—	83	1	no	—
675	#401	—	83	1	no	—
676	#401	—	83	1	no	—
677	#400	—	83	1	no	—
678	#400	—	83	1	no	—
679	#400	—	83	1	no	—
680	#400	—	83	1	no	—
681	#400	—	83	1	no	—
682	#400	—	83	1	no	—
683	#400	—	83	1	no	—
684	#400	—	83	1	no	—
685	#400	—	83	1	no	—
686	#400	—	83	1	no	—
687	#400	—	83	1	no	—
688	#400	—	83	1	no	—
689	#400	C₂×D₈₃	1	1	yes	characteristic
690	#399	—	83	1	no	—
691	#398	—	83	1	no	—
692	#398	—	83	1	no	—
693	#398	—	83	1	no	—
694	#398	—	83	1	no	—
695	#398	—	83	1	no	—
696	#398	—	83	1	no	—
697	#398	—	83	1	no	—
698	#398	—	83	1	no	—
699	#398	—	83	1	no	—
700	#398	—	83	1	no	—
701	#398	—	83	1	no	—
702	#398	—	83	1	no	—
703	#398	—	83	1	no	—
704	#398	—	83	1	no	—
705	#398	—	83	1	no	—
706	#398	—	83	1	no	—
707	#398	—	83	1	no	—
708	#398	—	83	1	no	—
709	#398	—	83	1	no	—
710	#398	C₂×D₈₃	1	1	yes	characteristic
711	#398	C₂×D₈₃	1	1	yes	characteristic
712	#398	C₂×D₈₃	1	1	yes	characteristic
713	#397	—	83	1	no	—
714	#397	—	83	1	no	—
715	#397	—	83	1	no	—
716	#397	—	83	1	no	—
717	#396	—	83	1	no	—
718	#396	—	83	1	no	—
719	#395	—	83	1	no	—
720	#395	—	83	1	no	—
721	#395	—	83	1	no	—
722	#393	—	83	1	no	—
723	#391	—	83	1	no	—
724	#391	—	83	1	no	—
725	#389	—	83	1	no	—
726	#389	—	83	1	no	—
727	#389	—	83	1	no	—
728	#389	—	83	1	no	—
729	#389	—	83	1	no	—
730	#389	—	83	1	no	—
731	#389	—	83	1	no	—
732	#389	—	83	1	no	—
733	#389	—	83	1	no	—
734	#389	—	83	1	no	—
735	#389	—	83	1	no	—
736	#389	—	83	1	no	—
737	#389	—	83	1	no	—
738	#389	—	83	1	no	—
739	#389	—	83	1	no	—
740	#389	—	83	1	no	—
741	#389	—	83	1	no	—
742	#389	—	83	1	no	—
743	#389	—	83	1	no	—
744	#389	—	83	1	no	—
745	#389	—	83	1	no	—
746	#389	C₂×D₈₃	1	1	yes	characteristic
747	#389	C₂×D₈₃	1	1	yes	characteristic
748	#389	C₂×D₈₃	1	1	yes	characteristic
749	#388	—	83	1	no	—
750	#388	—	83	1	no	—
751	#388	—	83	1	no	—
752	#388	—	83	1	no	—
753	#388	—	83	1	no	—
754	#388	—	83	1	no	—
755	#388	—	83	1	no	—
756	#388	—	83	1	no	—
757	#387	—	83	1	no	—
758	#387	—	83	1	no	—
759	#387	—	83	1	no	—
760	#387	—	83	1	no	—
761	#387	—	83	1	no	—
762	#387	—	83	1	no	—
763	#387	—	83	1	no	—
764	#387	—	83	1	no	—
765	#387	—	83	1	no	—
766	#387	—	83	1	no	—
767	#387	—	83	1	no	—
768	#387	—	83	1	no	—
769	#387	—	83	1	no	—
770	#387	—	83	1	no	—
771	#387	—	83	1	no	—
772	#387	—	83	1	no	—
773	#387	—	83	1	no	—
774	#387	—	83	1	no	—
775	#387	—	83	1	no	—
776	#387	—	83	1	no	—
777	#387	—	83	1	no	—
778	#387	—	83	1	no	—
779	#387	—	83	1	no	—
780	#387	—	83	1	no	—
781	#387	—	83	1	no	—
782	#387	—	83	1	no	—
783	#387	—	83	1	no	—
784	#387	—	83	1	no	—
785	#387	C₂×D₈₃	1	1	yes	characteristic
786	#387	C₂×D₈₃	1	1	yes	characteristic
787	#387	C₂×D₈₃	1	1	yes	characteristic
788	#387	C₂×D₈₃	1	1	yes	characteristic
789	#387	C₂×D₈₃	1	1	yes	characteristic
790	#387	C₂×D₈₃	1	1	yes	characteristic
791	#385	—	83	1	no	—
792	#385	—	83	1	no	—
793	#385	—	83	1	no	—
794	#385	—	83	1	no	—
795	#385	—	83	1	no	—
796	#385	—	83	1	no	—
797	#385	—	83	1	no	—
798	#385	—	83	1	no	—
799	#385	—	83	1	no	—
800	#385	—	83	1	no	—
801	#385	—	83	1	no	—
802	#385	—	83	1	no	—
803	#383	—	83	1	no	—
804	#383	—	83	1	no	—
805	#383	—	83	1	no	—
806	#382	—	83	1	no	—
807	#382	—	83	1	no	—
808	#382	—	83	1	no	—
809	#382	—	83	1	no	—
810	#380	—	83	1	no	—
811	#380	—	83	1	no	—
812	#380	—	83	1	no	—
813	#380	—	83	1	no	—
814	C₄×C₄⋊C₄	—	83	1	no	—
815	C₄×C₄⋊C₄	—	83	1	no	—
816	C₄×C₄⋊C₄	—	83	1	no	—
817	C₄×C₄⋊C₄	—	83	1	no	—
818	C₄×C₄⋊C₄	C₂×D₈₃	1	1	yes	characteristic
819	C₄×C₄⋊C₄	C₂×D₈₃	1	1	yes	characteristic
820	#376	—	83	1	no	—
821	C₂²×Q₈	—	83	1	no	—
822	C₂³×C₄	—	83	1	no	—
823	C₂³×C₄	—	83	1	no	—
824	C₂³×C₄	—	83	1	no	—
825	#125	—	332	2	no	—
826	#125	—	332	2	no	—
827	#125	—	332	2	no	—
828	#125	—	332	2	no	—
829	#125	—	166	4	no	—
830	C₄×Q₈	—	166	4	no	—
831	#117	—	332	2	no	—
832	#117	—	166	4	no	—
833	C₂×C₄⋊C₄	—	83	1	no	—
834	C₂×C₄⋊C₄	—	83	1	no	—
835	C₂×C₄⋊C₄	—	83	1	no	—
836	C₂×C₄⋊C₄	—	83	1	no	—
837	C₂×C₄⋊C₄	—	83	1	no	—
838	C₂×C₄⋊C₄	—	83	1	no	—
839	C₂×C₄⋊C₄	—	83	1	no	—
840	C₂×C₄⋊C₄	—	83	1	no	—
841	C₂×C₄⋊C₄	—	83	1	no	—
842	C₂×C₄⋊C₄	—	83	1	no	—
843	C₂×C₄⋊C₄	—	83	1	no	—
844	C₂×C₄⋊C₄	—	83	1	no	—
845	C₂×C₄⋊C₄	—	83	1	no	—
846	C₂×C₄⋊C₄	—	83	1	no	—
847	C₂×C₄⋊C₄	—	83	1	no	—
848	C₂×C₄⋊C₄	—	83	1	no	—
849	C₂×C₄⋊C₄	—	83	1	no	—
850	C₂×C₄⋊C₄	—	83	1	no	—
851	C₂×C₄⋊C₄	—	83	1	no	—
852	C₂×C₄⋊C₄	—	83	1	no	—
853	C₂×C₄⋊C₄	—	83	1	no	—
854	C₂×C₄⋊C₄	—	83	1	no	—
855	C₂×C₄⋊C₄	—	83	1	no	—
856	C₂×C₄⋊C₄	—	83	1	no	—
857	C₂×C₄⋊C₄	—	83	1	no	—
858	C₂×C₄⋊C₄	—	83	1	no	—
859	C₂×C₄⋊C₄	—	83	1	no	—
860	C₂×C₄⋊C₄	—	83	1	no	—
861	C₂×C₄⋊C₄	—	83	1	no	—
862	C₂×C₄⋊C₄	—	83	1	no	—
863	C₂×C₄⋊C₄	—	83	1	no	—
864	C₂×C₄⋊C₄	—	83	1	no	—
865	C₂×C₄⋊C₄	—	83	1	no	—
866	C₂×C₄⋊C₄	—	83	1	no	—
867	C₂×C₄⋊C₄	—	83	1	no	—
868	C₂×C₄⋊C₄	—	83	1	no	—
869	C₂×C₄⋊C₄	—	83	1	no	—
870	C₂×C₄⋊C₄	—	83	1	no	—
871	C₂×C₄⋊C₄	—	83	1	no	—
872	C₂×C₄⋊C₄	—	83	1	no	—
873	C₂×C₄⋊C₄	—	83	1	no	—
874	C₂×C₄⋊C₄	—	83	1	no	—
875	C₂×C₄⋊C₄	—	83	1	no	—
876	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
883	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
884	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
890	C₂×C₂²⋊C₄	—	83	1	no	—
891	C₂×C₂²⋊C₄	—	83	1	no	—
892	C₂×C₂²⋊C₄	—	83	1	no	—
893	C₂×C₂²⋊C₄	—	83	1	no	—
894	C₂×C₂²⋊C₄	—	83	1	no	—
895	C₂×C₂²⋊C₄	—	83	1	no	—
896	C₂×C₂²⋊C₄	—	83	1	no	—
897	C₂×C₂²⋊C₄	—	83	1	no	—
898	C₂×C₂²⋊C₄	—	83	1	no	—
899	C₂×C₂²⋊C₄	—	83	1	no	—
900	C₂×C₂²⋊C₄	—	83	1	no	—
901	C₂×C₂²⋊C₄	—	83	1	no	—
902	C₂×C₄²	—	332	2	no	—
903	C₂×C₄²	—	83	1	no	—
904	C₂×C₄²	—	83	1	no	—
905	C₂×C₄²	—	83	1	no	—
906	C₂×C₄²	—	83	1	no	—
907	C₂×C₄²	—	83	1	no	—
908	C₂×C₄²	—	83	1	no	—
909	C₂×C₄²	—	83	1	no	—
910	C₂×C₄²	—	83	1	no	—
911	C₂×C₄²	—	83	1	no	—
912	C₂×C₄²	—	83	1	no	—
913	C₂×C₄²	—	83	1	no	—
914	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
915	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
916	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
917	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
918	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
919	#95	—	83	1	no	—
920	#95	—	83	1	no	—
921	#95	—	83	1	no	—
922	#95	—	83	1	no	—
923	#95	—	83	1	no	—
924	#95	—	83	1	no	—
925	#95	—	83	1	no	—
926	#95	—	83	1	no	—
927	#95	—	83	1	no	—
928	#95	—	83	1	no	—
929	#95	—	83	1	no	—
930	#95	—	83	1	no	—
931	#95	—	83	1	no	—
932	#95	—	83	1	no	—
933	#95	—	83	1	no	—
934	#95	—	83	1	no	—
935	#95	—	83	1	no	—
936	#95	—	83	1	no	—
937	#95	—	83	1	no	—
938	#95	—	83	1	no	—
939	#95	—	83	1	no	—
940	#95	—	83	1	no	—
941	#95	—	83	1	no	—
942	#95	—	83	1	no	—
943	#95	—	83	1	no	—
944	#95	—	83	1	no	—
945	#95	—	83	1	no	—
946	#95	—	83	1	no	—
947	#95	—	83	1	no	—
948	#95	—	83	1	no	—
949	#95	—	83	1	no	—
950	#95	—	83	1	no	—
951	#95	—	83	1	no	—
952	#95	—	83	1	no	—
953	#95	—	83	1	no	—
954	#95	—	83	1	no	—
955	#95	—	83	1	no	—
956	#95	—	83	1	no	—
957	#95	—	83	1	no	—
958	#95	—	83	1	no	—
959	#95	—	83	1	no	—
960	#95	—	83	1	no	—
961	#95	—	83	1	no	—
962	#95	—	83	1	no	—
963	#95	—	83	1	no	—
964	#95	—	83	1	no	—
965	#95	—	83	1	no	—
966	#95	—	83	1	no	—
967	#95	—	83	1	no	—
968	#95	—	83	1	no	—
969	#95	C₂²×D₈₃	1	1	yes	characteristic
970	#95	C₂²×D₈₃	1	1	yes	characteristic
971	#95	C₂²×D₈₃	1	1	yes	characteristic
972	#95	C₂²×D₈₃	1	1	yes	characteristic
973	#95	C₂²×D₈₃	1	1	yes	characteristic
974	#95	C₂²×D₈₃	1	1	yes	characteristic
975	#95	C₂²×D₈₃	1	1	yes	characteristic
976	#95	C₂²×D₈₃	1	1	yes	characteristic
977	#95	C₂²×D₈₃	1	1	yes	characteristic
978	#95	C₂²×D₈₃	1	1	yes	characteristic
979	#95	C₂²×D₈₃	1	1	yes	characteristic
980	#95	C₂²×D₈₃	1	1	yes	characteristic
981	#95	C₂²×D₈₃	1	1	yes	characteristic
982	#95	C₂²×D₈₃	1	1	yes	characteristic
983	#95	C₂²×D₈₃	1	1	yes	characteristic
984	#95	C₂²×D₈₃	1	1	yes	characteristic
985	C₂⁴	—	83	1	no	—
986	C₂×Q₈	—	332	1	no	—
987	C₂×Q₈	—	332	1	no	—
988	C₂×Q₈	—	166	2	no	—
989	C₂²×C₄	—	332	1	no	—
990	C₂²×C₄	—	332	1	no	—
991	C₂²×C₄	—	332	1	no	—
992	C₂²×C₄	—	332	1	no	—
993	C₂²×C₄	—	83	1	no	—
994	C₂²×C₄	—	83	1	no	—
995	C₂²×C₄	—	83	1	no	—
996	C₂²×C₄	—	83	1	no	—
997	C₂²×C₄	—	83	1	no	—
998	C₂²×C₄	—	83	1	no	—
999	C₂²×C₄	—	83	1	no	—
1000	C₂²×C₄	—	83	1	no	—
1001	C₂²×C₄	—	83	1	no	—
1002	C₂²×C₄	—	83	1	no	—
1003	C₂²×C₄	—	83	1	no	—
1004	C₂²×C₄	—	83	1	no	—
1005	C₂²×C₄	—	83	1	no	—
1006	C₂²×C₄	—	83	1	no	—
1007	C₂²×C₄	—	83	1	no	—
1008	C₂²×C₄	—	166	2	no	—
1009	C₂²×C₄	—	166	2	no	—
1010	C₂²×C₄	—	166	2	no	—
1011	C₂²×C₄	—	166	2	no	—
1012	C₂²×C₄	—	166	2	no	—
1013	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1014	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1015	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1016	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1017	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1018	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1019	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1020	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1021	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1022	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1023	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1024	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1027	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1028	C₄⋊C₄	—	2	2	no	—
1029	C₄⋊C₄	—	2	2	no	—
1030	C₄⋊C₄	—	2	2	no	—
1031	C₄⋊C₄	—	2	2	no	—
1032	C₄⋊C₄	—	2	2	no	—
1033	C₄⋊C₄	—	2	2	no	—
1034	C₄⋊C₄	—	4	1	no	—
1035	C₄⋊C₄	—	4	1	no	—
1036	C₄⋊C₄	—	4	1	no	—
1037	C₄⋊C₄	—	4	1	no	—
1038	C₄⋊C₄	—	4	1	no	—
1039	C₄⋊C₄	—	4	1	no	—
1040	C₄⋊C₄	—	4	1	no	—
1041	C₄⋊C₄	—	4	1	no	—
1042	C₄⋊C₄	—	332	1	no	—
1043	C₄⋊C₄	—	332	1	no	—
1044	C₄⋊C₄	—	332	1	no	—
1045	C₄⋊C₄	—	332	1	no	—
1046	C₄⋊C₄	—	332	1	no	—
1047	C₄⋊C₄	—	332	1	no	—
1048	C₄⋊C₄	—	332	1	no	—
1049	C₄⋊C₄	—	332	1	no	—
1050	C₄⋊C₄	—	332	1	no	—
1051	C₄⋊C₄	—	332	1	no	—
1052	C₄⋊C₄	—	332	1	no	—
1053	C₄⋊C₄	—	332	1	no	—
1054	C₄⋊C₄	—	332	1	no	—
1055	C₄⋊C₄	—	332	1	no	—
1056	C₄⋊C₄	—	332	1	no	—
1057	C₄⋊C₄	—	332	1	no	—
1058	C₄⋊C₄	—	332	1	no	—
1059	C₄⋊C₄	—	332	1	no	—
1060	C₄⋊C₄	—	332	1	no	—
1061	C₄⋊C₄	—	332	1	no	—
1062	C₄⋊C₄	—	332	1	no	—
1063	C₄⋊C₄	—	332	1	no	—
1064	C₄⋊C₄	—	332	1	no	—
1065	C₄⋊C₄	—	332	1	no	—
1066	C₄⋊C₄	—	166	2	no	—
1067	C₄⋊C₄	—	166	2	no	—
1068	C₄⋊C₄	—	166	2	no	—
1069	C₄⋊C₄	—	166	2	no	—
1070	C₄⋊C₄	—	166	2	no	—
1071	C₄⋊C₄	—	166	2	no	—
1072	C₄⋊C₄	—	166	2	no	—
1073	C₄⋊C₄	—	166	2	no	—
1074	C₄⋊C₄	—	166	2	no	—
1075	C₄⋊C₄	—	166	2	no	—
1076	C₄⋊C₄	—	166	2	no	—
1077	C₄⋊C₄	—	166	2	no	—
1078	C₄⋊C₄	—	166	2	no	—
1079	C₄⋊C₄	—	166	2	no	—
1080	C₄⋊C₄	—	166	2	no	—
1081	C₄⋊C₄	—	166	2	no	—
1082	C₄⋊C₄	—	166	2	no	—
1083	C₄⋊C₄	—	166	2	no	—
1084	C₄⋊C₄	—	166	2	no	—
1085	C₂²⋊C₄	—	332	1	no	—
1086	C₂²⋊C₄	—	332	1	no	—
1087	C₂²⋊C₄	—	332	1	no	—
1088	C₂²⋊C₄	—	332	1	no	—
1089	C₂²⋊C₄	—	332	1	no	—
1090	C₂²⋊C₄	—	332	1	no	—
1091	C₂²⋊C₄	—	166	2	no	—
1092	C₂²⋊C₄	—	166	2	no	—
1093	C₂²⋊C₄	—	166	2	no	—
1094	C₂²⋊C₄	—	166	2	no	—
1095	C₂²⋊C₄	—	166	2	no	—
1096	C₂²⋊C₄	—	166	2	no	—
1097	C₄²	—	2	2	no	—
1098	C₄²	—	4	1	no	—
1099	C₄²	—	4	1	no	—
1100	C₄²	—	4	1	no	—
1101	C₄²	—	4	1	no	—
1102	C₄²	—	332	1	no	—
1103	C₄²	—	332	1	no	—
1104	C₄²	—	332	1	no	—
1105	C₄²	—	332	1	no	—
1106	C₄²	—	332	1	no	—
1107	C₄²	—	332	1	no	—
1108	C₄²	—	83	4	no	—
1109	C₄²	—	166	2	no	—
1110	C₄²	—	166	2	no	—
1111	C₄²	—	166	2	no	—
1112	C₄²	—	166	2	no	—
1113	C₂³	—	83	2	no	—
1114	C₂³	—	166	1	no	—
1115	C₂³	—	166	1	no	—
1116	C₂³	—	166	1	no	—
1117	C₂³	—	166	1	no	—
1118	C₂³	—	166	1	no	—
1119	C₂³	—	166	1	no	—
1120	C₂³	C₂⁴×D₈₃	1	1	yes	characteristic
1121	Q₈	—	332	4	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	332	4	no	—
1165	C₂×C₄	—	332	4	no	—
1166	C₂×C₄	—	83	2	no	—
1167	C₂×C₄	—	83	2	no	—
1168	C₂×C₄	—	83	2	no	—
1169	C₂×C₄	—	166	8	no	—
1170	C₂×C₄	—	166	1	no	—
1171	C₂×C₄	—	166	1	no	—
1172	C₂×C₄	—	166	1	no	—
1173	C₂×C₄	—	166	1	no	—
1174	C₂×C₄	—	166	1	no	—
1175	C₂×C₄	—	166	1	no	—
1176	C₂×C₄	—	166	1	no	—
1177	C₂×C₄	—	166	1	no	—
1178	C₂×C₄	—	166	1	no	—
1179	C₂×C₄	—	166	1	no	—
1180	C₂×C₄	—	166	1	no	—
1181	C₂×C₄	—	166	1	no	—
1182	C₂×C₄	—	166	1	no	—
1183	C₂×C₄	—	166	1	no	—
1184	C₂×C₄	—	166	1	no	—
1185	C₂×C₄	—	166	1	no	—
1186	C₂×C₄	—	166	1	no	—
1187	C₂×C₄	—	166	1	no	—
1188	C₂×C₄	—	166	1	no	—
1189	C₂×C₄	—	166	1	no	—
1190	C₂×C₄	—	166	1	no	—
1191	C₂×C₄	—	166	1	no	—
1192	C₂×C₄	—	166	1	no	—
1193	C₂×C₄	—	166	1	no	—
1194	C₂×C₄	—	166	1	no	—
1195	C₂×C₄	—	166	1	no	—
1196	C₂×C₄	—	166	1	no	—
1197	C₂×C₄	—	166	1	no	—
1198	C₂×C₄	—	166	1	no	—
1199	C₂×C₄	—	166	1	no	—
1200	C₂×C₄	—	166	1	no	—
1201	C₂×C₄	—	166	1	no	—
1202	C₂×C₄	—	166	1	no	—
1203	C₂×C₄	—	166	1	no	—
1204	C₂×C₄	—	166	1	no	—
1205	C₂×C₄	—	166	1	no	—
1206	C₂×C₄	—	166	1	no	—
1207	C₂×C₄	—	166	1	no	—
1208	C₂×C₄	—	166	1	no	—
1209	C₂×C₄	—	166	1	no	—
1210	C₂×C₄	—	166	1	no	—
1211	C₂×C₄	—	166	1	no	—
1212	C₂×C₄	#41×D₈₃	1	2	yes	—
1213	C₂×C₄	#14581839	1	2	yes	—
1214	C₂×C₄	#14581840	1	2	yes	—
1215	C₂²	—	332	1	no	—
1216	C₂²	—	332	1	no	—
1217	C₂²	—	332	1	no	—
1218	C₂²	—	332	1	no	—
1219	C₂²	—	166	2	no	—
1220	C₂²	—	166	2	no	—
1221	C₂²	—	166	2	no	—
1222	C₂²	C₂×#41×D₈₃	1	1	yes	characteristic
1223	C₂²	H(5,𝔽₂)×D₈₃	1	1	yes	characteristic
1224	C₂²	2₋¹⁺⁴×D₈₃	1	1	yes	characteristic
1225	C₂²	C₂×#14581839	1	1	yes	characteristic
1226	C₂²	C₂×#14581840	1	1	yes	characteristic
1227	C₂²	#19128537	1	1	yes	characteristic
1228	C₂²	#19128537	1	1	yes	characteristic
1229	C₄	—	2	2	no	—
1230	C₄	—	2	2	no	—
1231	C₄	—	2	2	no	—
1232	C₄	—	4	1	no	—
1233	C₄	—	4	1	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	1	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	1	no	—
1238	C₄	—	4	1	no	—
1239	C₄	—	4	1	no	—
1240	C₄	—	4	1	no	—
1241	C₄	—	4	1	no	—
1242	C₄	—	4	1	no	—
1243	C₄	—	4	1	no	—
1244	C₄	—	332	1	no	—
1245	C₄	—	332	1	no	—
1246	C₄	—	332	1	no	—
1247	C₄	—	332	1	no	—
1248	C₄	—	332	1	no	—
1249	C₄	—	332	1	no	—
1250	C₄	—	332	1	no	—
1251	C₄	—	332	1	no	—
1252	C₄	—	332	1	no	—
1253	C₄	—	332	1	no	—
1254	C₄	—	332	1	no	—
1255	C₄	—	332	1	no	—
1256	C₄	—	166	2	no	—
1257	C₄	—	166	2	no	—
1258	C₄	—	166	2	no	—
1259	C₂	—	332	2	no	—
1260	C₂	#24920846	1	1	yes	characteristic
1261	C₂	#24921168	1	1	yes	characteristic
1262	C₂	#24921342	1	1	yes	characteristic
1263	C₂	#24921741	1	1	yes	characteristic
1264	C₂	#24921749	1	1	yes	characteristic
1265	C₂	#24922059	1	1	yes	characteristic
1266	C₂	#24922070	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₃
commutator, socle, cosocle	C₂³×C₈₃	C₂⁵
Fitting	C₈₃×#2590	C₂
prime radical	C₂³×D₈₃	C₂⁴
hypercenter	#2590	D₈₃
hypocenter	C₈₃	#36834
LCS	G ▷ C₂³×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂³ ◁ #2590

Complements

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

N	H ≅ G/N	type
7. #24915022	C₂	semidirect
8. #24915014	C₂	semidirect
13. #24914914	C₂	semidirect
14. #24914906	C₂	semidirect
15. #24914417	C₂	semidirect
16. #24914411	C₂	semidirect
17. #24914329	C₂	semidirect
18. #24914321	C₂	semidirect
19. #24913558	C₂	semidirect
20. #24913556	C₂	semidirect
22. #24913118	C₂	semidirect
24. #24912923	C₂	semidirect
25. #24912849	C₂	semidirect
28. #24910262	C₂	semidirect
29. #24910112	C₂	semidirect
31. C₈₃×#2590	C₂	semidirect
658. #2590	D₈₃	semidirect
665. C₈₃	#36834	semidirect

Maximal subgroups

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

subgroup	index
#24915772	2
#24915211	2
#24915203	2
#24915196	2
#24915188	2
#24915022	2
#24915014	2
#24914972	2
#24914970	2
#24914948	2
#24914946	2
#24914914	2
#24914906	2
#24914417	2
#24914411	2
#24914329	2
#24914321	2
#24913558	2
#24913556	2
#24913159	2
#24913118	2
#24913038	2
#24912923	2
#24912849	2
#24911636	2
#24911634	2
#24910262	2
#24910112	2
#24909943	2
C₈₃×#2590	2
#36834	83