Subgroups — #35568324

Order 21248.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19128331	C₂	1	1	yes	maximal, characteristic
2	#24910646	C₂	1	1	yes	maximal, characteristic, complemented
3	#24910627	C₂	1	1	yes	maximal, characteristic
4	#24910625	C₂	1	1	yes	maximal, characteristic
5	#24910569	C₂	1	1	yes	maximal, characteristic, complemented
6	#24910567	C₂	1	1	yes	maximal, characteristic, complemented
7	#24910562	C₂	1	1	yes	maximal, characteristic, complemented
8	#24910554	C₂	1	1	yes	maximal, characteristic, complemented
9	#24910549	C₂	1	1	yes	maximal, characteristic, complemented
10	#24910518	C₂	1	1	yes	maximal, characteristic, complemented
11	#24910489	C₂	1	1	yes	maximal, characteristic
12	#24910485	C₂	1	1	yes	maximal, characteristic
13	#24910343	C₂	1	1	yes	maximal, characteristic
14	#24910343	C₂	1	1	yes	maximal, characteristic
15	#24910337	C₂	1	1	yes	maximal, characteristic
16	#24910329	C₂	1	1	yes	maximal, characteristic
17	#24910217	C₂	1	1	yes	maximal, characteristic
18	#24910215	C₂	1	1	yes	maximal, characteristic
19	#24910209	C₂	1	1	yes	maximal, characteristic, complemented
20	#24910208	C₂	1	1	yes	maximal, characteristic, complemented
21	#24910208	C₂	1	1	yes	maximal, characteristic, complemented
22	#24910201	C₂	1	1	yes	maximal, characteristic, complemented
23	#24910180	C₂	1	1	yes	maximal, characteristic, complemented
24	#24910178	C₂	1	1	yes	maximal, characteristic, complemented
25	#24910143	C₂	1	1	yes	maximal, characteristic
26	#24910140	C₂	1	1	yes	maximal, characteristic
27	#24910069	C₂	1	1	yes	maximal, characteristic
28	#24910034	C₂	1	1	yes	maximal, characteristic, complemented
29	#24910020	C₂	1	1	yes	maximal, characteristic, complemented
30	#24909955	C₂	1	1	yes	maximal, characteristic
31	C₈₃×#2382	C₂	1	1	yes	maximal, characteristic, complemented
32	#19128331	C₄	1	16	yes	complemented
33	C₂×#14581792	C₂²	1	1	yes	characteristic
34	C₂×#14581791	C₂²	1	1	yes	characteristic
35	C₂×#14581791	C₂²	1	1	yes	characteristic
36	C₂×#14581791	C₂²	1	1	yes	characteristic
37	C₂×#14581783	C₂²	1	1	yes	characteristic
38	C₂×#14581782	C₂²	1	1	yes	characteristic
39	C₂×#14581782	C₂²	1	1	yes	characteristic
40	C₂×#14581772	C₂²	1	1	yes	characteristic
41	C₂×#14581772	C₂²	1	1	yes	characteristic
42	C₂×#14581770	C₂²	1	1	yes	characteristic
43	C₂×#14581770	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₁₆₆	C₂²	1	1	yes	characteristic
45	C₂×#14581757	C₂²	1	1	yes	characteristic
46	C₂×#14581757	C₂²	1	1	yes	characteristic
47	C₂×#14581757	C₂²	1	1	yes	characteristic
48	C₂×#14581750	C₂²	1	1	yes	characteristic
49	C₂×#14581750	C₂²	1	1	yes	characteristic
50	C₂×#14581749	C₂²	1	1	yes	characteristic
51	C₂×#14581749	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊C₄×D₈₃	C₂²	1	1	yes	characteristic
53	#19127607	C₂²	1	1	yes	characteristic
54	#19127606	C₂²	1	1	yes	characteristic
55	#19127606	C₂²	1	1	yes	characteristic
56	#19127606	C₂²	1	1	yes	characteristic
57	#19127605	C₂²	1	1	yes	characteristic
58	#19127605	C₂²	1	1	yes	characteristic
59	#19127605	C₂²	1	1	yes	characteristic
60	#19127605	C₂²	1	1	yes	characteristic
61	#19127605	C₂²	1	1	yes	characteristic
62	#19127605	C₂²	1	1	yes	characteristic
63	#19127605	C₂²	1	1	yes	characteristic
64	#19127605	C₂²	1	1	yes	characteristic
65	#19127599	C₂²	1	1	yes	characteristic
66	#19127598	C₂²	1	1	yes	characteristic
67	#19127598	C₂²	1	1	yes	characteristic
68	#19127598	C₂²	1	1	yes	characteristic
69	#19127598	C₂²	1	1	yes	characteristic
70	#19127597	C₂²	1	1	yes	characteristic
71	#19127597	C₂²	1	1	yes	characteristic
72	#19127597	C₂²	1	1	yes	characteristic
73	#19127596	C₂²	1	1	yes	characteristic
74	#19127596	C₂²	1	1	yes	characteristic
75	#19127596	C₂²	1	1	yes	characteristic
76	#19127596	C₂²	1	1	yes	characteristic
77	#19127596	C₂²	1	1	yes	characteristic
78	#19127596	C₂²	1	1	yes	characteristic
79	#19127596	C₂²	1	1	yes	characteristic
80	#19127596	C₂²	1	1	yes	characteristic
81	#19127593	C₂²	1	1	yes	characteristic
82	#19127593	C₂²	1	1	yes	characteristic
83	#19127592	C₂²	1	1	yes	characteristic
84	#19127592	C₂²	1	1	yes	characteristic
85	#19127591	C₂²	1	1	yes	characteristic
86	#19127591	C₂²	1	1	yes	characteristic
87	#19127591	C₂²	1	1	yes	characteristic
88	#19127591	C₂²	1	1	yes	characteristic
89	#19127591	C₂²	1	1	yes	characteristic
90	#19127591	C₂²	1	1	yes	characteristic
91	#19127590	C₂²	1	1	yes	characteristic
92	#19127590	C₂²	1	1	yes	characteristic
93	#19127590	C₂²	1	1	yes	characteristic
94	#19127590	C₂²	1	1	yes	characteristic
95	#19127590	C₂²	1	1	yes	characteristic
96	#19127590	C₂²	1	1	yes	characteristic
97	#19127588	C₂²	1	1	yes	characteristic
98	#19127588	C₂²	1	1	yes	characteristic
99	#19127587	C₂²	1	1	yes	characteristic
100	#19127587	C₂²	1	1	yes	characteristic
101	#19127587	C₂²	1	1	yes	characteristic
102	#19127587	C₂²	1	1	yes	characteristic
103	#19127587	C₂²	1	1	yes	characteristic
104	#19127587	C₂²	1	1	yes	characteristic
105	#19127587	C₂²	1	1	yes	characteristic
106	#19127587	C₂²	1	1	yes	characteristic
107	#19127586	C₂²	1	1	yes	characteristic
108	#19127586	C₂²	1	1	yes	characteristic
109	#19127586	C₂²	1	1	yes	characteristic
110	#19127586	C₂²	1	1	yes	characteristic
111	#19127586	C₂²	1	1	yes	characteristic
112	#19127586	C₂²	1	1	yes	characteristic
113	#19127585	C₂²	1	1	yes	characteristic
114	#19127585	C₂²	1	1	yes	characteristic
115	#19127584	C₂²	1	1	yes	characteristic
116	#19127584	C₂²	1	1	yes	characteristic
117	#19127584	C₂²	1	1	yes	characteristic
118	#19127584	C₂²	1	1	yes	characteristic
119	#19127584	C₂²	1	1	yes	characteristic
120	#19127584	C₂²	1	1	yes	characteristic
121	#19127584	C₂²	1	1	yes	characteristic
122	#19127584	C₂²	1	1	yes	characteristic
123	#19127584	C₂²	1	1	yes	characteristic
124	#19127584	C₂²	1	1	yes	characteristic
125	#19127583	C₂²	1	1	yes	characteristic
126	#19127583	C₂²	1	1	yes	characteristic
127	#19127582	C₂²	1	1	yes	characteristic
128	#19127582	C₂²	1	1	yes	characteristic
129	#19127570	C₂²	1	1	yes	characteristic
130	#19127565	C₂²	1	1	yes	characteristic
131	#19127565	C₂²	1	1	yes	characteristic
132	#19127565	C₂²	1	1	yes	characteristic
133	#19127563	C₂²	1	1	yes	characteristic
134	#19127563	C₂²	1	1	yes	characteristic
135	#19127560	C₂²	1	1	yes	characteristic
136	#19127560	C₂²	1	1	yes	characteristic
137	#19127560	C₂²	1	1	yes	characteristic
138	#19127558	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×Dic₈₃	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×Dic₈₃	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×Dic₈₃	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×Dic₈₃	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×Dic₈₃	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×Dic₈₃	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₈₃	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₈₃	C₂²	1	1	yes	characteristic
147	C₄×Dic₈₃⋊C₄	C₂²	1	1	yes	characteristic
148	C₄×Dic₈₃⋊C₄	C₂²	1	1	yes	characteristic
149	C₄×Dic₈₃⋊C₄	C₂²	1	1	yes	characteristic
150	C₄×Dic₈₃⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×Dic₈₃⋊C₄	C₂²	1	1	yes	characteristic
152	C₄×C₄⋊Dic₈₃	C₂²	1	1	yes	characteristic
153	#19127552	C₂²	1	1	yes	characteristic
154	#19127552	C₂²	1	1	yes	characteristic
155	#19127552	C₂²	1	1	yes	characteristic
156	#19127552	C₂²	1	1	yes	characteristic
157	#19127552	C₂²	1	1	yes	characteristic
158	#19127552	C₂²	1	1	yes	characteristic
159	#19127552	C₂²	1	1	yes	characteristic
160	#19127552	C₂²	1	1	yes	characteristic
161	#19127552	C₂²	1	1	yes	characteristic
162	#19127552	C₂²	1	1	yes	characteristic
163	C₄×(C₂×D₈₃)⋊C₄	C₂²	1	1	yes	characteristic
164	#19127548	C₂²	1	1	yes	characteristic
165	#19127548	C₂²	1	1	yes	characteristic
166	#19127548	C₂²	1	1	yes	characteristic
167	#19127547	C₂²	1	1	yes	characteristic
168	#19127547	C₂²	1	1	yes	characteristic
169	#19127546	C₂²	1	1	yes	characteristic
170	#19127546	C₂²	1	1	yes	characteristic
171	#19127546	C₂²	1	1	yes	characteristic
172	C₄²×Dic₈₃	C₂²	1	1	yes	characteristic
173	C₂×#125×C₈₃	C₂²	1	1	yes	characteristic
174	#389×C₈₃	C₂²	1	1	yes	characteristic
175	#389×C₈₃	C₂²	1	1	yes	characteristic
176	#389×C₈₃	C₂²	1	1	yes	characteristic
177	#389×C₈₃	C₂²	1	1	yes	characteristic
178	#387×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	#387×C₈₃	C₂²	1	1	yes	characteristic
186	#382×C₈₃	C₂²	1	1	yes	characteristic
187	#382×C₈₃	C₂²	1	1	yes	characteristic
188	C₂²×Dic₁₆₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₆₆	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₆₆	C₂³	1	1	yes	characteristic
191	C₂²×Dic₁₆₆	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
195	#14581792	C₂×C₄	1	8	yes	—
196	#14581791	C₂×C₄	1	8	yes	—
197	#14581791	C₂×C₄	1	8	yes	—
198	#14581791	C₂×C₄	1	8	yes	—
199	#14581783	C₂×C₄	1	8	yes	—
200	#14581782	C₂×C₄	1	8	yes	—
201	#14581782	C₂×C₄	1	8	yes	—
202	#14581772	C₂×C₄	1	8	yes	—
203	#14581772	C₂×C₄	1	8	yes	—
204	#14581770	C₂×C₄	1	8	yes	—
205	#14581770	C₂×C₄	1	8	yes	—
206	C₄×Dic₁₆₆	—	4	2	no	—
207	#14581757	—	4	2	no	—
208	#14581757	—	4	2	no	—
209	#14581757	—	4	2	no	—
210	#14581750	—	4	2	no	—
211	#14581750	C₂×C₄	1	8	yes	—
212	#14581749	—	4	2	no	—
213	#14581749	C₂×C₄	1	8	yes	—
214	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₈₃	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×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₈₃⋊C₄	C₂³	1	1	yes	characteristic
248	C₄⋊C₄×D₈₃	C₂×C₄	1	8	yes	—
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×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₈₃)⋊C₄	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	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₈₃	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	C₈₃⋊#95	C₂³	1	1	yes	characteristic
317	C₈₃⋊#95	C₂³	1	1	yes	characteristic
318	C₈₃⋊#95	C₂³	1	1	yes	characteristic
319	C₈₃⋊#95	C₂³	1	1	yes	characteristic
320	C₈₃⋊#95	C₂³	1	1	yes	characteristic
321	C₈₃⋊#95	C₂³	1	1	yes	characteristic
322	C₈₃⋊#95	C₂³	1	1	yes	characteristic
323	C₈₃⋊#95	C₂³	1	1	yes	characteristic
324	C₈₃⋊#95	C₂³	1	1	yes	characteristic
325	C₈₃⋊#95	C₂³	1	1	yes	characteristic
326	C₈₃⋊#95	C₂³	1	1	yes	characteristic
327	C₈₃⋊#95	C₂³	1	1	yes	characteristic
328	#125×C₈₃	C₂×C₄	1	8	yes	—
329	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×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	#95×C₈₃	C₂³	1	1	yes	characteristic
352	#95×C₈₃	C₂³	1	1	yes	characteristic
353	#95×C₈₃	C₂³	1	1	yes	characteristic
354	#95×C₈₃	C₂³	1	1	yes	characteristic
355	#95×C₈₃	C₂³	1	1	yes	characteristic
356	#95×C₈₃	C₂³	1	1	yes	characteristic
357	#95×C₈₃	C₂³	1	1	yes	characteristic
358	#95×C₈₃	C₂³	1	1	yes	characteristic
359	#95×C₈₃	C₂³	1	1	yes	characteristic
360	#95×C₈₃	C₂³	1	1	yes	characteristic
361	#95×C₈₃	C₂³	1	1	yes	characteristic
362	#95×C₈₃	C₂³	1	1	yes	characteristic
363	#95×C₈₃	C₂³	1	1	yes	characteristic
364	C₂³×D₈₃	C₂⁴	1	1	yes	characteristic
365	C₂×Dic₁₆₆	—	4	1	no	—
366	C₂×Dic₁₆₆	—	4	1	no	—
367	C₂×Dic₁₆₆	—	4	1	no	—
368	C₂×Dic₁₆₆	—	4	1	no	—
369	C₂×Dic₁₆₆	—	4	1	no	—
370	C₂×Dic₁₆₆	—	4	1	no	—
371	C₂×Dic₁₆₆	—	4	1	no	—
372	C₂×Dic₁₆₆	—	4	1	no	—
373	C₂×Dic₁₆₆	C₂²×C₄	1	4	yes	—
374	C₂×Dic₁₆₆	C₂²×C₄	1	4	yes	—
375	C₂×Dic₁₆₆	C₂²×C₄	1	4	yes	—
376	C₂×Dic₁₆₆	C₂²×C₄	1	4	yes	—
377	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
392	C₂×C₄×D₈₃	—	2	2	no	—
393	C₂×C₄×D₈₃	—	2	2	no	—
394	C₂×C₄×D₈₃	—	4	1	no	—
395	C₂×C₄×D₈₃	—	4	1	no	—
396	C₂×C₄×D₈₃	—	4	1	no	—
397	C₂×C₄×D₈₃	—	4	1	no	—
398	C₂×C₄×D₈₃	C₂²×C₄	1	4	yes	—
399	C₂×C₄×D₈₃	C₂²×C₄	1	4	yes	—
400	C₂×C₄×D₈₃	C₂²×C₄	1	4	yes	—
401	C₄⋊Dic₈₃	—	2	2	no	—
402	C₄⋊Dic₈₃	—	2	2	no	—
403	C₄⋊Dic₈₃	—	4	1	no	—
404	C₄⋊Dic₈₃	—	4	1	no	—
405	C₄⋊Dic₈₃	C₂²×C₄	1	4	yes	—
406	C₄⋊Dic₈₃	C₂²×C₄	1	4	yes	—
407	C₄⋊Dic₈₃	C₂²×C₄	1	4	yes	—
408	C₄⋊Dic₈₃	C₂²×C₄	1	4	yes	—
409	C₄⋊Dic₈₃	C₂²×C₄	1	4	yes	—
410	C₄⋊Dic₈₃	C₂²×C₄	1	4	yes	—
411	Dic₈₃⋊C₄	—	2	2	no	—
412	Dic₈₃⋊C₄	—	2	2	no	—
413	Dic₈₃⋊C₄	—	2	2	no	—
414	Dic₈₃⋊C₄	—	2	2	no	—
415	Dic₈₃⋊C₄	—	2	2	no	—
416	Dic₈₃⋊C₄	—	2	2	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	Dic₈₃⋊C₄	—	4	1	no	—
423	Dic₈₃⋊C₄	—	4	1	no	—
424	Dic₈₃⋊C₄	—	4	1	no	—
425	Dic₈₃⋊C₄	—	4	1	no	—
426	Dic₈₃⋊C₄	—	4	1	no	—
427	Dic₈₃⋊C₄	C₂²×C₄	1	4	yes	—
428	Dic₈₃⋊C₄	C₂²×C₄	1	4	yes	—
429	Dic₈₃⋊C₄	C₂²×C₄	1	4	yes	—
430	Dic₈₃⋊C₄	C₂²×C₄	1	4	yes	—
431	Dic₈₃⋊C₄	C₂²×C₄	1	4	yes	—
432	Dic₈₃⋊C₄	C₂²×C₄	1	4	yes	—
433	Dic₈₃⋊C₄	C₂²×C₄	1	4	yes	—
434	Dic₈₃⋊C₄	C₂²×C₄	1	4	yes	—
435	(C₂×D₈₃)⋊C₄	—	2	2	no	—
436	(C₂×D₈₃)⋊C₄	—	2	2	no	—
437	(C₂×D₈₃)⋊C₄	—	4	1	no	—
438	(C₂×D₈₃)⋊C₄	—	4	1	no	—
439	(C₂×D₈₃)⋊C₄	—	4	1	no	—
440	(C₂×D₈₃)⋊C₄	—	4	1	no	—
441	(C₂×D₈₃)⋊C₄	—	4	1	no	—
442	(C₂×D₈₃)⋊C₄	—	4	1	no	—
443	(C₂×D₈₃)⋊C₄	C₂²×C₄	1	4	yes	—
444	(C₂×D₈₃)⋊C₄	C₂²×C₄	1	4	yes	—
445	(C₂×D₈₃)⋊C₄	C₂²×C₄	1	4	yes	—
446	(C₂×D₈₃)⋊C₄	C₂²×C₄	1	4	yes	—
447	C₄×Dic₈₃	—	2	2	no	—
448	C₄×Dic₈₃	—	2	2	no	—
449	C₄×Dic₈₃	—	2	2	no	—
450	C₄×Dic₈₃	—	2	2	no	—
451	C₄×Dic₈₃	—	2	2	no	—
452	C₄×Dic₈₃	—	2	2	no	—
453	C₄×Dic₈₃	—	2	2	no	—
454	C₄×Dic₈₃	—	2	2	no	—
455	C₄×Dic₈₃	—	2	2	no	—
456	C₄×Dic₈₃	—	2	2	no	—
457	C₄×Dic₈₃	—	2	2	no	—
458	C₄×Dic₈₃	—	2	2	no	—
459	C₄×Dic₈₃	—	4	1	no	—
460	C₄×Dic₈₃	—	4	1	no	—
461	C₄×Dic₈₃	—	4	1	no	—
462	C₄×Dic₈₃	—	4	1	no	—
463	C₄×Dic₈₃	—	4	1	no	—
464	C₄×Dic₈₃	—	4	1	no	—
465	C₄×Dic₈₃	—	4	1	no	—
466	C₄×Dic₈₃	—	4	1	no	—
467	C₄×Dic₈₃	—	4	1	no	—
468	C₄×Dic₈₃	—	4	1	no	—
469	C₄×Dic₈₃	—	4	1	no	—
470	C₄×Dic₈₃	—	4	1	no	—
471	C₄×Dic₈₃	C₂²×C₄	1	4	yes	—
472	C₄×Dic₈₃	C₂²×C₄	1	4	yes	—
473	C₄×Dic₈₃	C₂²×C₄	1	4	yes	—
474	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
489	C₄⋊C₄×C₈₃	—	4	1	no	—
490	C₄⋊C₄×C₈₃	—	4	1	no	—
491	C₄⋊C₄×C₈₃	—	4	1	no	—
492	C₄⋊C₄×C₈₃	—	4	1	no	—
493	C₄⋊C₄×C₈₃	—	4	1	no	—
494	C₄⋊C₄×C₈₃	—	4	1	no	—
495	C₄⋊C₄×C₈₃	—	4	1	no	—
496	C₄⋊C₄×C₈₃	—	4	1	no	—
497	C₄⋊C₄×C₈₃	C₂²×C₄	1	4	yes	—
498	C₄⋊C₄×C₈₃	C₂²×C₄	1	4	yes	—
499	C₄⋊C₄×C₈₃	C₂²×C₄	1	4	yes	—
500	C₄⋊C₄×C₈₃	C₂²×C₄	1	4	yes	—
501	C₄⋊C₄×C₈₃	C₂²×C₄	1	4	yes	—
502	C₄⋊C₄×C₈₃	C₂²×C₄	1	4	yes	—
503	C₄²×C₈₃	—	4	1	no	—
504	C₄²×C₈₃	—	4	1	no	—
505	C₄²×C₈₃	—	4	1	no	—
506	C₄²×C₈₃	—	4	1	no	—
507	C₄²×C₈₃	C₂²×C₄	1	4	yes	—
508	C₂³×C₈₃	C₂⁵	1	1	yes	characteristic
509	C₂²×D₈₃	—	2	1	no	—
510	C₂²×D₈₃	—	2	1	no	—
511	C₂²×D₈₃	—	2	1	no	—
512	C₂²×D₈₃	—	2	1	no	—
513	C₂²×D₈₃	—	2	1	no	—
514	C₂²×D₈₃	—	2	1	no	—
515	C₂²×D₈₃	C₂³×C₄	1	2	yes	—
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	—	2	1	no	—
530	C₂×C₄×C₈₃	—	2	1	no	—
531	C₂×C₄×C₈₃	—	2	1	no	—
532	C₂×C₄×C₈₃	—	2	1	no	—
533	C₂×C₄×C₈₃	—	2	1	no	—
534	C₂×C₄×C₈₃	—	2	1	no	—
535	C₂×C₄×C₈₃	—	2	1	no	—
536	C₂×C₄×C₈₃	—	2	1	no	—
537	C₂×C₄×C₈₃	—	2	1	no	—
538	C₂×C₄×C₈₃	—	2	1	no	—
539	C₂×C₄×C₈₃	—	2	1	no	—
540	C₂×C₄×C₈₃	—	2	1	no	—
541	C₂×C₄×C₈₃	—	2	1	no	—
542	C₂×C₄×C₈₃	—	2	1	no	—
543	C₂×C₄×C₈₃	—	2	1	no	—
544	C₂×C₄×C₈₃	—	2	1	no	—
545	C₂×C₄×C₈₃	—	2	1	no	—
546	C₂×C₄×C₈₃	—	2	1	no	—
547	C₂×C₄×C₈₃	—	2	1	no	—
548	C₂×C₄×C₈₃	—	2	1	no	—
549	C₂×C₄×C₈₃	—	2	1	no	—
550	C₂×C₄×C₈₃	—	2	1	no	—
551	C₂×C₄×C₈₃	—	2	1	no	—
552	C₂×C₄×C₈₃	—	2	1	no	—
553	C₂×C₄×C₈₃	—	2	1	no	—
554	C₂×C₄×C₈₃	C₂³×C₄	1	2	yes	—
555	C₂×C₄×C₈₃	C₂³×C₄	1	2	yes	—
556	C₂×C₄×C₈₃	C₂³×C₄	1	2	yes	—
557	C₂×C₄×C₈₃	C₂³×C₄	1	2	yes	—
558	C₂×C₄×C₈₃	C₂³×C₄	1	2	yes	—
559	C₂×C₄×C₈₃	C₂³×C₄	1	2	yes	—
560	C₂×C₄×C₈₃	C₂³×C₄	1	2	yes	—
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	—	2	1	no	—
575	C₂×Dic₈₃	—	2	1	no	—
576	C₂×Dic₈₃	—	2	1	no	—
577	C₂×Dic₈₃	—	2	1	no	—
578	C₂×Dic₈₃	—	2	1	no	—
579	C₂×Dic₈₃	—	2	1	no	—
580	C₂×Dic₈₃	—	2	1	no	—
581	C₂×Dic₈₃	—	2	1	no	—
582	C₂×Dic₈₃	—	2	1	no	—
583	C₂×Dic₈₃	—	2	1	no	—
584	C₂×Dic₈₃	—	2	1	no	—
585	C₂×Dic₈₃	—	2	1	no	—
586	C₂×Dic₈₃	—	2	1	no	—
587	C₂×Dic₈₃	—	2	1	no	—
588	C₂×Dic₈₃	—	2	1	no	—
589	C₂×Dic₈₃	—	2	1	no	—
590	C₂×Dic₈₃	—	2	1	no	—
591	C₂×Dic₈₃	—	2	1	no	—
592	C₂×Dic₈₃	—	2	1	no	—
593	C₂×Dic₈₃	—	2	1	no	—
594	C₂×Dic₈₃	—	2	1	no	—
595	C₂×Dic₈₃	C₂³×C₄	1	2	yes	—
596	C₂×Dic₈₃	C₂³×C₄	1	2	yes	—
597	C₂×Dic₈₃	C₂³×C₄	1	2	yes	—
598	C₂×Dic₈₃	C₂³×C₄	1	2	yes	—
599	C₂×Dic₈₃	C₂³×C₄	1	2	yes	—
600	C₂×Dic₈₃	C₂³×C₄	1	2	yes	—
601	C₂×Dic₈₃	C₂³×C₄	1	2	yes	—
602	C₂×Dic₈₃	H(5,𝔽₂)	1	2	yes	—
603	C₂×Dic₈₃	2₋¹⁺⁴	1	2	yes	—
604	C₂×Dic₈₃	2₋¹⁺⁴	1	2	yes	—
605	C₂×Dic₈₃	2₋¹⁺⁴	1	2	yes	—
606	C₄×D₈₃	—	2	8	no	—
607	C₄×D₈₃	—	4	4	no	—
608	C₄×D₈₃	—	4	4	no	—
609	Dic₁₆₆	—	4	4	no	—
610	Dic₁₆₆	—	4	4	no	—
611	Dic₁₆₆	—	4	4	no	—
612	Dic₁₆₆	—	4	4	no	—
613	C₂²×C₈₃	C₂⁴×C₄	1	1	yes	characteristic
614	C₂²×C₈₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
615	C₂²×C₈₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
616	C₂²×C₈₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
617	C₂²×C₈₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
618	C₂²×C₈₃	#585	1	1	yes	characteristic
619	C₂²×C₈₃	#585	1	1	yes	characteristic
620	C₂×D₈₃	—	2	2	no	—
621	C₂×D₈₃	—	2	2	no	—
622	C₂×D₈₃	—	2	2	no	—
623	C₂×D₈₃	—	4	1	no	—
624	C₂×D₈₃	—	4	1	no	—
625	C₂×D₈₃	—	4	1	no	—
626	C₂×D₈₃	—	4	1	no	—
627	C₄×C₈₃	—	2	2	no	—
628	C₄×C₈₃	—	2	2	no	—
629	C₄×C₈₃	—	2	2	no	—
630	C₄×C₈₃	—	2	2	no	—
631	C₄×C₈₃	—	2	2	no	—
632	C₄×C₈₃	—	2	2	no	—
633	C₄×C₈₃	—	2	2	no	—
634	C₄×C₈₃	—	4	1	no	—
635	C₄×C₈₃	—	4	1	no	—
636	C₄×C₈₃	—	4	1	no	—
637	C₄×C₈₃	—	4	1	no	—
638	C₄×C₈₃	—	4	1	no	—
639	C₄×C₈₃	—	4	1	no	—
640	C₄×C₈₃	—	4	1	no	—
641	C₄×C₈₃	—	4	1	no	—
642	Dic₈₃	—	2	2	no	—
643	Dic₈₃	—	2	2	no	—
644	Dic₈₃	—	2	2	no	—
645	Dic₈₃	—	2	2	no	—
646	Dic₈₃	—	2	2	no	—
647	Dic₈₃	—	2	2	no	—
648	Dic₈₃	—	2	2	no	—
649	Dic₈₃	—	2	2	no	—
650	Dic₈₃	—	4	1	no	—
651	Dic₈₃	—	4	1	no	—
652	Dic₈₃	—	4	1	no	—
653	Dic₈₃	—	4	1	no	—
654	Dic₈₃	—	4	1	no	—
655	Dic₈₃	—	4	1	no	—
656	Dic₈₃	#519	1	4	yes	—
657	#34435	—	83	1	no	maximal, Sylow
658	C₂×C₈₃	C₂×#519	1	1	yes	characteristic
659	C₂×C₈₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
660	C₂×C₈₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
661	C₂×C₈₃	#3544	1	1	yes	characteristic
662	C₂×C₈₃	#3547	1	1	yes	characteristic
663	C₂×C₈₃	#3563	1	1	yes	characteristic
664	C₂×C₈₃	#3565	1	1	yes	characteristic
665	D₈₃	—	4	2	no	—
666	C₂×#544	—	83	1	no	—
667	#2382	—	83	1	no	—
668	#2382	D₈₃	1	1	yes	characteristic, complemented
669	#2378	—	83	1	no	—
670	#2378	—	83	1	no	—
671	#2371	—	83	1	no	—
672	#2371	—	83	1	no	—
673	#2370	—	83	1	no	—
674	#2370	—	83	1	no	—
675	#2369	—	83	1	no	—
676	#2365	—	83	1	no	—
677	#2362	—	83	1	no	—
678	#2362	—	83	1	no	—
679	#2346	—	83	1	no	—
680	#2346	—	83	1	no	—
681	#2345	—	83	1	no	—
682	#2344	—	83	1	no	—
683	#2332	—	83	1	no	—
684	#2332	—	83	1	no	—
685	#2331	—	83	1	no	—
686	#2331	—	83	1	no	—
687	#2331	—	83	1	no	—
688	#2330	—	83	1	no	—
689	#2327	—	83	1	no	—
690	#2327	—	83	1	no	—
691	#2323	—	83	1	no	—
692	#2323	—	83	1	no	—
693	#2314	—	83	1	no	—
694	C₄×C₄⋊Q₈	—	83	1	no	—
695	C₄×#125	—	83	1	no	—
696	#2298	—	83	1	no	—
697	C₈₃	#34435	1	1	yes	characteristic, complemented, Sylow
698	#544	—	83	16	no	—
699	C₂×C₄⋊Q₈	—	83	1	no	—
700	C₂×C₄⋊Q₈	—	83	1	no	—
701	C₂×C₄⋊Q₈	—	83	1	no	—
702	C₂×C₄⋊Q₈	—	83	1	no	—
703	C₂×#125	—	83	1	no	—
704	C₂×#125	—	83	1	no	—
705	C₂×#125	—	83	1	no	—
706	C₂×#125	C₂×D₈₃	1	1	yes	characteristic
707	C₂×C₂²⋊Q₈	—	83	1	no	—
708	C₂×C₂²⋊Q₈	—	83	1	no	—
709	C₂×C₂²⋊Q₈	—	83	1	no	—
710	C₂×C₂²⋊Q₈	—	83	1	no	—
711	C₂×C₄×Q₈	—	83	1	no	—
712	C₂×C₄×Q₈	—	83	1	no	—
713	C₂×C₄×Q₈	—	83	1	no	—
714	C₂×C₄×Q₈	—	83	1	no	—
715	C₂×#117	—	83	1	no	—
716	C₂×#117	—	83	1	no	—
717	C₂×#117	—	83	1	no	—
718	C₂×#117	—	83	1	no	—
719	C₂²×C₄⋊C₄	—	83	1	no	—
720	#391	—	83	1	no	—
721	#391	—	83	1	no	—
722	#391	—	83	1	no	—
723	#391	—	83	1	no	—
724	#391	—	83	1	no	—
725	#391	—	83	1	no	—
726	#391	—	83	1	no	—
727	#391	—	83	1	no	—
728	#391	—	83	1	no	—
729	#391	—	83	1	no	—
730	#391	—	83	1	no	—
731	#391	—	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	—	83	1	no	—
747	#389	—	83	1	no	—
748	#389	C₂×D₈₃	1	1	yes	characteristic
749	#389	C₂×D₈₃	1	1	yes	characteristic
750	#389	C₂×D₈₃	1	1	yes	characteristic
751	#389	C₂×D₈₃	1	1	yes	characteristic
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	#388	—	83	1	no	—
758	#388	—	83	1	no	—
759	#388	—	83	1	no	—
760	#388	—	83	1	no	—
761	#388	—	83	1	no	—
762	#388	—	83	1	no	—
763	#388	—	83	1	no	—
764	#388	—	83	1	no	—
765	#388	—	83	1	no	—
766	#388	—	83	1	no	—
767	#388	—	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	—	83	1	no	—
786	#387	—	83	1	no	—
787	#387	—	83	1	no	—
788	#387	—	83	1	no	—
789	#387	—	83	1	no	—
790	#387	—	83	1	no	—
791	#387	—	83	1	no	—
792	#387	—	83	1	no	—
793	#387	—	83	1	no	—
794	#387	—	83	1	no	—
795	#387	—	83	1	no	—
796	#387	—	83	1	no	—
797	#387	—	83	1	no	—
798	#387	—	83	1	no	—
799	#387	—	83	1	no	—
800	#387	C₂×D₈₃	1	1	yes	characteristic
801	#387	C₂×D₈₃	1	1	yes	characteristic
802	#387	C₂×D₈₃	1	1	yes	characteristic
803	#387	C₂×D₈₃	1	1	yes	characteristic
804	#387	C₂×D₈₃	1	1	yes	characteristic
805	#387	C₂×D₈₃	1	1	yes	characteristic
806	#387	C₂×D₈₃	1	1	yes	characteristic
807	#387	C₂×D₈₃	1	1	yes	characteristic
808	#384	—	83	1	no	—
809	#382	—	83	1	no	—
810	#382	—	83	1	no	—
811	#382	—	83	1	no	—
812	#382	C₂×D₈₃	1	1	yes	characteristic
813	#382	C₂×D₈₃	1	1	yes	characteristic
814	#381	—	83	1	no	—
815	#381	—	83	1	no	—
816	#380	—	83	1	no	—
817	#380	—	83	1	no	—
818	#380	—	83	1	no	—
819	#380	—	83	1	no	—
820	C₄×C₄⋊C₄	—	83	1	no	—
821	C₄×C₄⋊C₄	—	83	1	no	—
822	C₄×C₄⋊C₄	—	83	1	no	—
823	C₄×C₄⋊C₄	—	83	1	no	—
824	C₄×C₄⋊C₄	—	83	1	no	—
825	C₄×C₄⋊C₄	—	83	1	no	—
826	C₄×C₄⋊C₄	—	83	1	no	—
827	C₄×C₄⋊C₄	—	83	1	no	—
828	C₄×C₄⋊C₄	—	83	1	no	—
829	C₄×C₄⋊C₄	—	83	1	no	—
830	C₄×C₄⋊C₄	—	83	1	no	—
831	C₄×C₄⋊C₄	—	83	1	no	—
832	C₄×C₄⋊C₄	—	83	1	no	—
833	C₄×C₄⋊C₄	—	83	1	no	—
834	C₄×C₄⋊C₄	—	83	1	no	—
835	C₄×C₄⋊C₄	—	83	1	no	—
836	C₄×C₄⋊C₄	—	83	1	no	—
837	C₄×C₄⋊C₄	—	83	1	no	—
838	C₄×C₄⋊C₄	—	83	1	no	—
839	C₄×C₄⋊C₄	—	83	1	no	—
840	C₄×C₄⋊C₄	—	83	1	no	—
841	C₄×C₄⋊C₄	—	83	1	no	—
842	C₄×C₄⋊C₄	—	83	1	no	—
843	C₄×C₄⋊C₄	—	83	1	no	—
844	C₄×C₂²⋊C₄	—	83	1	no	—
845	C₄×C₂²⋊C₄	—	83	1	no	—
846	C₄×C₂²⋊C₄	—	83	1	no	—
847	C₄×C₂²⋊C₄	—	83	1	no	—
848	#376	—	83	1	no	—
849	#376	—	83	1	no	—
850	#376	—	83	1	no	—
851	#376	—	83	1	no	—
852	#376	—	83	1	no	—
853	C₄³	—	83	1	no	—
854	C₂²×Q₈	—	83	1	no	—
855	C₂²×Q₈	—	83	1	no	—
856	C₂²×Q₈	—	83	1	no	—
857	C₂²×Q₈	—	83	1	no	—
858	C₂³×C₄	—	83	1	no	—
859	C₂³×C₄	—	83	1	no	—
860	C₂³×C₄	—	83	1	no	—
861	C₄⋊Q₈	—	83	8	no	—
862	C₄⋊Q₈	—	83	8	no	—
863	C₄⋊Q₈	—	83	8	no	—
864	C₄⋊Q₈	—	83	8	no	—
865	#125	—	83	8	no	—
866	#125	—	83	8	no	—
867	#125	—	83	8	no	—
868	#125	C₄×D₈₃	1	8	yes	—
869	C₂²⋊Q₈	—	83	8	no	—
870	C₂²⋊Q₈	—	83	8	no	—
871	C₂²⋊Q₈	—	83	8	no	—
872	C₂²⋊Q₈	—	83	8	no	—
873	C₄×Q₈	—	332	2	no	—
874	C₄×Q₈	—	332	2	no	—
875	C₄×Q₈	—	332	2	no	—
876	C₄×Q₈	—	332	2	no	—
877	#117	—	332	2	no	—
878	#117	—	332	2	no	—
879	#117	—	83	8	no	—
880	#117	—	83	8	no	—
881	C₂×C₄⋊C₄	—	83	1	no	—
882	C₂×C₄⋊C₄	—	83	1	no	—
883	C₂×C₄⋊C₄	—	83	1	no	—
884	C₂×C₄⋊C₄	—	83	1	no	—
885	C₂×C₄⋊C₄	—	83	1	no	—
886	C₂×C₄⋊C₄	—	83	1	no	—
887	C₂×C₄⋊C₄	—	83	1	no	—
888	C₂×C₄⋊C₄	—	83	1	no	—
889	C₂×C₄⋊C₄	—	83	1	no	—
890	C₂×C₄⋊C₄	—	83	1	no	—
891	C₂×C₄⋊C₄	—	83	1	no	—
892	C₂×C₄⋊C₄	—	83	1	no	—
893	C₂×C₄⋊C₄	—	83	1	no	—
894	C₂×C₄⋊C₄	—	83	1	no	—
895	C₂×C₄⋊C₄	—	83	1	no	—
896	C₂×C₄⋊C₄	—	83	1	no	—
897	C₂×C₄⋊C₄	—	83	1	no	—
898	C₂×C₄⋊C₄	—	83	1	no	—
899	C₂×C₄⋊C₄	—	83	1	no	—
900	C₂×C₄⋊C₄	—	83	1	no	—
901	C₂×C₄⋊C₄	—	83	1	no	—
902	C₂×C₄⋊C₄	—	83	1	no	—
903	C₂×C₄⋊C₄	—	83	1	no	—
904	C₂×C₄⋊C₄	—	83	1	no	—
905	C₂×C₄⋊C₄	—	83	1	no	—
906	C₂×C₄⋊C₄	—	83	1	no	—
907	C₂×C₄⋊C₄	—	83	8	no	—
908	C₂×C₄⋊C₄	—	83	1	no	—
909	C₂×C₄⋊C₄	—	83	1	no	—
910	C₂×C₄⋊C₄	—	83	1	no	—
911	C₂×C₄⋊C₄	—	83	1	no	—
912	C₂×C₄⋊C₄	—	83	1	no	—
913	C₂×C₄⋊C₄	—	83	1	no	—
914	C₂×C₄⋊C₄	—	83	1	no	—
915	C₂×C₄⋊C₄	—	83	1	no	—
916	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	—	83	1	no	—
931	C₂×C₂²⋊C₄	—	83	1	no	—
932	C₂×C₂²⋊C₄	—	83	1	no	—
933	C₂×C₂²⋊C₄	—	83	1	no	—
934	C₂×C₂²⋊C₄	—	83	1	no	—
935	C₂×C₂²⋊C₄	—	83	1	no	—
936	C₂×C₂²⋊C₄	—	83	1	no	—
937	C₂×C₂²⋊C₄	—	83	1	no	—
938	C₂×C₂²⋊C₄	—	83	1	no	—
939	C₂×C₂²⋊C₄	—	83	1	no	—
940	C₂×C₂²⋊C₄	—	83	1	no	—
941	C₂×C₂²⋊C₄	—	83	1	no	—
942	C₂×C₄²	—	83	1	no	—
943	C₂×C₄²	—	83	1	no	—
944	C₂×C₄²	—	83	1	no	—
945	C₂×C₄²	—	83	1	no	—
946	C₂×C₄²	—	83	1	no	—
947	C₂×C₄²	—	83	1	no	—
948	C₂×C₄²	—	83	1	no	—
949	C₂×C₄²	—	83	1	no	—
950	C₂×C₄²	—	83	1	no	—
951	C₂×C₄²	—	83	1	no	—
952	C₂×C₄²	—	83	1	no	—
953	C₂×C₄²	—	83	1	no	—
954	C₂×C₄²	—	83	1	no	—
955	C₂×C₄²	—	83	1	no	—
956	C₂×C₄²	—	83	1	no	—
957	C₂×C₄²	—	83	1	no	—
958	C₂×C₄²	—	83	1	no	—
959	C₂×C₄²	—	83	1	no	—
960	C₂×C₄²	—	83	1	no	—
961	C₂×C₄²	—	83	1	no	—
962	C₂×C₄²	—	83	1	no	—
963	C₂×C₄²	—	83	1	no	—
964	C₂×C₄²	—	83	1	no	—
965	C₂×C₄²	—	83	1	no	—
966	C₂×C₄²	—	83	1	no	—
967	C₂×C₄²	—	83	1	no	—
968	C₂×C₄²	—	83	1	no	—
969	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
970	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
971	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
972	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
973	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
974	#95	—	83	1	no	—
975	#95	—	83	1	no	—
976	#95	—	83	1	no	—
977	#95	—	83	1	no	—
978	#95	—	83	1	no	—
979	#95	—	83	1	no	—
980	#95	—	83	1	no	—
981	#95	—	83	1	no	—
982	#95	—	83	1	no	—
983	#95	—	83	1	no	—
984	#95	—	83	1	no	—
985	#95	—	83	1	no	—
986	#95	—	83	1	no	—
987	#95	—	83	1	no	—
988	#95	—	83	1	no	—
989	#95	—	83	1	no	—
990	#95	—	83	1	no	—
991	#95	—	83	1	no	—
992	#95	—	83	1	no	—
993	#95	—	83	1	no	—
994	#95	—	83	1	no	—
995	#95	—	83	1	no	—
996	#95	—	83	1	no	—
997	#95	—	83	1	no	—
998	#95	—	83	1	no	—
999	#95	—	83	1	no	—
1000	#95	—	83	1	no	—
1001	#95	—	83	1	no	—
1002	#95	—	83	1	no	—
1003	#95	—	83	1	no	—
1004	#95	—	83	1	no	—
1005	#95	—	83	1	no	—
1006	#95	—	83	1	no	—
1007	#95	—	83	1	no	—
1008	#95	—	83	1	no	—
1009	#95	—	83	1	no	—
1010	#95	—	83	1	no	—
1011	#95	—	83	1	no	—
1012	#95	—	83	1	no	—
1013	#95	—	83	1	no	—
1014	#95	C₂²×D₈₃	1	1	yes	characteristic
1015	#95	C₂²×D₈₃	1	1	yes	characteristic
1016	#95	C₂²×D₈₃	1	1	yes	characteristic
1017	#95	C₂²×D₈₃	1	1	yes	characteristic
1018	#95	C₂²×D₈₃	1	1	yes	characteristic
1019	#95	C₂²×D₈₃	1	1	yes	characteristic
1020	#95	C₂²×D₈₃	1	1	yes	characteristic
1021	#95	C₂²×D₈₃	1	1	yes	characteristic
1022	#95	C₂²×D₈₃	1	1	yes	characteristic
1023	#95	C₂²×D₈₃	1	1	yes	characteristic
1024	#95	C₂²×D₈₃	1	1	yes	characteristic
1025	#95	C₂²×D₈₃	1	1	yes	characteristic
1026	#95	C₂²×D₈₃	1	1	yes	characteristic
1027	#95	C₂²×D₈₃	1	1	yes	characteristic
1028	#95	C₂²×D₈₃	1	1	yes	characteristic
1029	#95	C₂²×D₈₃	1	1	yes	characteristic
1030	C₂⁴	—	83	1	no	—
1031	C₂×Q₈	—	332	1	no	—
1032	C₂×Q₈	—	332	1	no	—
1033	C₂×Q₈	—	332	1	no	—
1034	C₂×Q₈	—	332	1	no	—
1035	C₂×Q₈	—	332	1	no	—
1036	C₂×Q₈	—	332	1	no	—
1037	C₂×Q₈	—	332	1	no	—
1038	C₂×Q₈	—	332	1	no	—
1039	C₂×Q₈	—	83	4	no	—
1040	C₂×Q₈	—	83	4	no	—
1041	C₂×Q₈	—	83	4	no	—
1042	C₂×Q₈	—	83	4	no	—
1043	C₂²×C₄	—	332	1	no	—
1044	C₂²×C₄	—	332	1	no	—
1045	C₂²×C₄	—	332	1	no	—
1046	C₂²×C₄	—	332	1	no	—
1047	C₂²×C₄	—	83	4	no	—
1048	C₂²×C₄	—	83	4	no	—
1049	C₂²×C₄	—	83	1	no	—
1050	C₂²×C₄	—	83	1	no	—
1051	C₂²×C₄	—	83	1	no	—
1052	C₂²×C₄	—	83	1	no	—
1053	C₂²×C₄	—	83	1	no	—
1054	C₂²×C₄	—	83	1	no	—
1055	C₂²×C₄	—	83	1	no	—
1056	C₂²×C₄	—	83	1	no	—
1057	C₂²×C₄	—	83	1	no	—
1058	C₂²×C₄	—	83	4	no	—
1059	C₂²×C₄	—	83	1	no	—
1060	C₂²×C₄	—	83	1	no	—
1061	C₂²×C₄	—	83	1	no	—
1062	C₂²×C₄	—	83	1	no	—
1063	C₂²×C₄	—	83	1	no	—
1064	C₂²×C₄	—	83	1	no	—
1065	C₂²×C₄	—	166	2	no	—
1066	C₂²×C₄	—	166	2	no	—
1067	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1082	C₄⋊C₄	—	4	1	no	—
1083	C₄⋊C₄	—	4	1	no	—
1084	C₄⋊C₄	—	4	1	no	—
1085	C₄⋊C₄	—	4	1	no	—
1086	C₄⋊C₄	—	4	1	no	—
1087	C₄⋊C₄	—	4	1	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	332	1	no	—
1091	C₄⋊C₄	—	332	1	no	—
1092	C₄⋊C₄	—	332	1	no	—
1093	C₄⋊C₄	—	332	1	no	—
1094	C₄⋊C₄	—	332	1	no	—
1095	C₄⋊C₄	—	332	1	no	—
1096	C₄⋊C₄	—	332	1	no	—
1097	C₄⋊C₄	—	332	1	no	—
1098	C₄⋊C₄	—	332	1	no	—
1099	C₄⋊C₄	—	332	1	no	—
1100	C₄⋊C₄	—	332	1	no	—
1101	C₄⋊C₄	—	332	1	no	—
1102	C₄⋊C₄	—	83	4	no	—
1103	C₄⋊C₄	—	83	4	no	—
1104	C₄⋊C₄	—	83	4	no	—
1105	C₄⋊C₄	—	83	4	no	—
1106	C₄⋊C₄	—	83	4	no	—
1107	C₄⋊C₄	—	83	4	no	—
1108	C₄⋊C₄	—	83	4	no	—
1109	C₄⋊C₄	—	83	4	no	—
1110	C₄⋊C₄	—	83	4	no	—
1111	C₄⋊C₄	—	83	4	no	—
1112	C₄⋊C₄	—	83	4	no	—
1113	C₄⋊C₄	—	83	4	no	—
1114	C₄⋊C₄	—	83	4	no	—
1115	C₄⋊C₄	—	83	4	no	—
1116	C₄⋊C₄	—	166	2	no	—
1117	C₄⋊C₄	—	166	2	no	—
1118	C₄⋊C₄	—	166	2	no	—
1119	C₄⋊C₄	—	166	2	no	—
1120	C₄⋊C₄	—	166	2	no	—
1121	C₄⋊C₄	—	166	2	no	—
1122	C₄⋊C₄	—	166	2	no	—
1123	C₄⋊C₄	—	166	2	no	—
1124	C₄⋊C₄	C₂×C₄×D₈₃	1	4	yes	—
1125	C₄⋊C₄	C₂×C₄×D₈₃	1	4	yes	—
1126	C₄⋊C₄	C₂×C₄×D₈₃	1	4	yes	—
1127	C₄⋊C₄	C₂×C₄×D₈₃	1	4	yes	—
1128	C₄⋊C₄	C₂×C₄×D₈₃	1	4	yes	—
1129	C₄⋊C₄	C₂×C₄×D₈₃	1	4	yes	—
1130	C₂²⋊C₄	—	332	1	no	—
1131	C₂²⋊C₄	—	332	1	no	—
1132	C₂²⋊C₄	—	332	1	no	—
1133	C₂²⋊C₄	—	332	1	no	—
1134	C₂²⋊C₄	—	332	1	no	—
1135	C₂²⋊C₄	—	332	1	no	—
1136	C₂²⋊C₄	—	83	4	no	—
1137	C₂²⋊C₄	—	83	4	no	—
1138	C₂²⋊C₄	—	83	4	no	—
1139	C₂²⋊C₄	—	83	4	no	—
1140	C₂²⋊C₄	—	166	2	no	—
1141	C₂²⋊C₄	—	166	2	no	—
1142	C₄²	—	4	1	no	—
1143	C₄²	—	4	1	no	—
1144	C₄²	—	4	1	no	—
1145	C₄²	—	4	1	no	—
1146	C₄²	—	332	1	no	—
1147	C₄²	—	332	1	no	—
1148	C₄²	—	332	1	no	—
1149	C₄²	—	332	1	no	—
1150	C₄²	—	332	1	no	—
1151	C₄²	—	332	1	no	—
1152	C₄²	—	332	1	no	—
1153	C₄²	—	332	1	no	—
1154	C₄²	—	332	1	no	—
1155	C₄²	—	332	1	no	—
1156	C₄²	—	332	1	no	—
1157	C₄²	—	332	1	no	—
1158	C₄²	—	83	4	no	—
1159	C₄²	—	83	4	no	—
1160	C₄²	—	83	4	no	—
1161	C₄²	—	166	2	no	—
1162	C₄²	—	166	2	no	—
1163	C₄²	—	166	2	no	—
1164	C₄²	—	166	2	no	—
1165	C₄²	—	166	2	no	—
1166	C₄²	—	166	2	no	—
1167	C₄²	—	166	2	no	—
1168	C₄²	—	166	2	no	—
1169	C₄²	—	166	2	no	—
1170	C₄²	—	166	2	no	—
1171	C₄²	—	166	2	no	—
1172	C₄²	—	166	2	no	—
1173	C₄²	C₂×C₄×D₈₃	1	4	yes	—
1174	C₂³	—	83	2	no	—
1175	C₂³	—	166	1	no	—
1176	C₂³	—	166	1	no	—
1177	C₂³	—	166	1	no	—
1178	C₂³	—	166	1	no	—
1179	C₂³	—	166	1	no	—
1180	C₂³	—	166	1	no	—
1181	C₂³	C₂⁴×D₈₃	1	1	yes	characteristic
1182	Q₈	—	332	4	no	—
1183	Q₈	—	332	4	no	—
1184	Q₈	—	332	4	no	—
1185	Q₈	—	332	4	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	332	4	no	—
1225	C₂×C₄	—	332	4	no	—
1226	C₂×C₄	—	83	2	no	—
1227	C₂×C₄	—	83	2	no	—
1228	C₂×C₄	—	83	2	no	—
1229	C₂×C₄	—	83	2	no	—
1230	C₂×C₄	—	83	2	no	—
1231	C₂×C₄	—	83	2	no	—
1232	C₂×C₄	—	83	2	no	—
1233	C₂×C₄	—	83	2	no	—
1234	C₂×C₄	—	83	2	no	—
1235	C₂×C₄	—	83	2	no	—
1236	C₂×C₄	—	83	2	no	—
1237	C₂×C₄	—	166	8	no	—
1238	C₂×C₄	—	166	1	no	—
1239	C₂×C₄	—	166	1	no	—
1240	C₂×C₄	—	166	1	no	—
1241	C₂×C₄	—	166	1	no	—
1242	C₂×C₄	—	166	1	no	—
1243	C₂×C₄	—	166	1	no	—
1244	C₂×C₄	—	166	1	no	—
1245	C₂×C₄	—	166	1	no	—
1246	C₂×C₄	—	166	1	no	—
1247	C₂×C₄	—	166	1	no	—
1248	C₂×C₄	—	166	1	no	—
1249	C₂×C₄	—	166	1	no	—
1250	C₂×C₄	—	166	1	no	—
1251	C₂×C₄	—	166	1	no	—
1252	C₂×C₄	—	166	1	no	—
1253	C₂×C₄	—	166	1	no	—
1254	C₂×C₄	—	166	1	no	—
1255	C₂×C₄	—	166	1	no	—
1256	C₂×C₄	—	166	1	no	—
1257	C₂×C₄	—	166	1	no	—
1258	C₂×C₄	—	166	1	no	—
1259	C₂×C₄	—	166	1	no	—
1260	C₂×C₄	—	166	1	no	—
1261	C₂×C₄	—	166	1	no	—
1262	C₂×C₄	—	166	1	no	—
1263	C₂×C₄	—	166	1	no	—
1264	C₂×C₄	—	166	1	no	—
1265	C₂×C₄	—	166	1	no	—
1266	C₂×C₄	—	166	1	no	—
1267	C₂×C₄	—	166	1	no	—
1268	C₂×C₄	—	166	1	no	—
1269	C₂×C₄	—	166	1	no	—
1270	C₂×C₄	—	166	1	no	—
1271	C₂×C₄	—	166	1	no	—
1272	C₂×C₄	C₂²×C₄×D₈₃	1	2	yes	—
1273	C₂×C₄	C₂²×C₄×D₈₃	1	2	yes	—
1274	C₂×C₄	C₂²×C₄×D₈₃	1	2	yes	—
1275	C₂×C₄	C₂²×C₄×D₈₃	1	2	yes	—
1276	C₂×C₄	C₂²×C₄×D₈₃	1	2	yes	—
1277	C₂×C₄	C₂²×C₄×D₈₃	1	2	yes	—
1278	C₂×C₄	C₂²×C₄×D₈₃	1	2	yes	—
1279	C₂²	—	332	1	no	—
1280	C₂²	—	332	1	no	—
1281	C₂²	—	332	1	no	—
1282	C₂²	—	332	1	no	—
1283	C₂²	—	166	2	no	—
1284	C₂²	—	166	2	no	—
1285	C₂²	—	166	2	no	—
1286	C₂²	C₂³×C₄×D₈₃	1	1	yes	characteristic
1287	C₂²	H(5,𝔽₂)×D₈₃	1	1	yes	characteristic
1288	C₂²	2₋¹⁺⁴×D₈₃	1	1	yes	characteristic
1289	C₂²	2₋¹⁺⁴×D₈₃	1	1	yes	characteristic
1290	C₂²	2₋¹⁺⁴×D₈₃	1	1	yes	characteristic
1291	C₂²	#19128536	1	1	yes	characteristic
1292	C₂²	#19128538	1	1	yes	characteristic
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	2	2	no	—
1298	C₄	—	2	2	no	—
1299	C₄	—	2	2	no	—
1300	C₄	—	4	1	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	1	no	—
1307	C₄	—	4	1	no	—
1308	C₄	—	332	1	no	—
1309	C₄	—	332	1	no	—
1310	C₄	—	332	1	no	—
1311	C₄	—	332	1	no	—
1312	C₄	—	332	1	no	—
1313	C₄	—	332	1	no	—
1314	C₄	—	83	4	no	—
1315	C₄	—	166	2	no	—
1316	C₄	—	166	2	no	—
1317	C₄	—	166	2	no	—
1318	C₄	—	166	2	no	—
1319	C₄	—	166	2	no	—
1320	C₄	—	166	2	no	—
1321	C₄	—	166	2	no	—
1322	C₄	—	166	2	no	—
1323	C₂	—	332	2	no	—
1324	C₂	#519×D₈₃	1	1	yes	characteristic
1325	C₂	#24920669	1	1	yes	characteristic
1326	C₂	#24920674	1	1	yes	characteristic
1327	C₂	#24921802	1	1	yes	characteristic
1328	C₂	#24921843	1	1	yes	characteristic
1329	C₂	#24922072	1	1	yes	characteristic
1330	C₂	#24922105	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₃
commutator	C₂²×C₈₃	C₂⁴×C₄
Fitting	C₈₃×#2382	C₂
socle, cosocle	C₂³×C₈₃	C₂⁵
prime radical	C₂³×D₈₃	C₂⁴
hypercenter	#2382	D₈₃
hypocenter	C₈₃	#34435
LCS	G ▷ C₂²×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂³ ◁ #2382

Complements

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

N	H ≅ G/N	type
2. #24910646	C₂	semidirect
5. #24910569	C₂	semidirect
6. #24910567	C₂	semidirect
7. #24910562	C₂	semidirect
8. #24910554	C₂	semidirect
9. #24910549	C₂	semidirect
10. #24910518	C₂	semidirect
19. #24910209	C₂	semidirect
20. #24910208	C₂	semidirect
21. #24910208	C₂	semidirect
22. #24910201	C₂	semidirect
23. #24910180	C₂	semidirect
24. #24910178	C₂	semidirect
28. #24910034	C₂	semidirect
29. #24910020	C₂	semidirect
31. C₈₃×#2382	C₂	semidirect
32. #19128331	C₄	semidirect
668. #2382	D₈₃	semidirect
697. C₈₃	#34435	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19128331	2
#24910646	2
#24910627	2
#24910625	2
#24910569	2
#24910567	2
#24910562	2
#24910554	2
#24910549	2
#24910518	2
#24910489	2
#24910485	2
#24910343	2
#24910337	2
#24910329	2
#24910217	2
#24910215	2
#24910209	2
#24910208	2
#24910201	2
#24910180	2
#24910178	2
#24910143	2
#24910140	2
#24910069	2
#24910034	2
#24910020	2
#24909955	2
C₈₃×#2382	2
#34435	83