Subgroups — #36280656

Order 21248.

2656 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#24922241	C₂	1	2	yes	maximal, complemented
2	#24922233	C₂	1	1	yes	maximal, characteristic, complemented
3	#576×D₈₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#24919263	C₂	1	1	yes	maximal, characteristic, complemented
5	#24919263	C₂	1	1	yes	maximal, characteristic, complemented
6	#24919261	C₂	1	1	yes	maximal, characteristic, complemented
7	#24919260	C₂	1	1	yes	maximal, characteristic, complemented
8	#24919252	C₂	1	1	yes	maximal, characteristic, complemented
9	#24919249	C₂	1	1	yes	maximal, characteristic, complemented
10	#24919248	C₂	1	1	yes	maximal, characteristic, complemented
11	#24919232	C₂	1	2	yes	maximal, complemented
12	#24919231	C₂	1	2	yes	maximal, complemented
13	#24919228	C₂	1	2	yes	maximal, complemented
14	#24919225	C₂	1	2	yes	maximal, complemented
15	#24917945	C₂	1	1	yes	maximal, characteristic, complemented
16	#24917186	C₂	1	2	yes	maximal, complemented
17	#24917185	C₂	1	1	yes	maximal, characteristic, complemented
18	#472×D₈₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#24916833	C₂	1	2	yes	maximal, complemented
20	#24916821	C₂	1	2	yes	maximal, complemented
21	#24916375	C₂	1	1	yes	maximal, characteristic, complemented
22	#24916361	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₃×#3290	C₂	1	1	yes	maximal, characteristic, complemented
24	#19128538	C₂²	1	2	yes	complemented
25	H(5,𝔽₂)×D₈₃	C₂²	1	2	yes	complemented
26	#19128514	—	2	1	no	—
27	#19128514	C₂²	1	1	yes	characteristic, complemented
28	#19128510	—	2	2	no	—
29	#19128510	—	2	2	no	—
30	#19128510	C₂²	1	2	yes	complemented
31	#19128510	C₂²	1	2	yes	complemented
32	#19128509	C₂²	1	2	yes	complemented
33	#19128509	C₂²	1	2	yes	complemented
34	#19128507	—	2	2	no	—
35	#19128507	C₂²	1	2	yes	complemented
36	#19128506	C₂²	1	1	yes	characteristic, complemented
37	#19128506	C₂²	1	2	yes	complemented
38	#19128506	C₂²	1	1	yes	characteristic, complemented
39	#19128505	—	2	2	no	—
40	#19128505	—	2	2	no	—
41	#19128505	C₂²	1	2	yes	complemented
42	#19128505	C₂²	1	2	yes	complemented
43	#19128504	C₂²	1	2	yes	complemented
44	#19128504	C₂²	1	2	yes	complemented
45	#19128503	—	2	2	no	—
46	#19128503	—	2	1	no	—
47	#19128503	—	2	1	no	—
48	#19128503	C₂²	1	1	yes	characteristic, complemented
49	#19128503	C₂²	1	2	yes	complemented
50	#19128503	C₂²	1	1	yes	characteristic, complemented
51	#19128502	—	2	1	no	—
52	#19128502	C₂²	1	1	yes	characteristic, complemented
53	#19128500	—	2	2	no	—
54	#19128500	—	2	2	no	—
55	#19128500	C₂²	1	2	yes	complemented
56	#19128500	C₂²	1	2	yes	complemented
57	#19128498	—	2	2	no	—
58	#19128498	C₂²	1	1	yes	characteristic
59	C₂×#14581819	—	2	2	no	—
60	C₂×#14581819	C₂²	1	2	yes	complemented
61	AGL(1,ℤ/8)×D₈₃	—	2	2	no	—
62	AGL(1,ℤ/8)×D₈₃	—	2	2	no	—
63	AGL(1,ℤ/8)×D₈₃	C₂²	1	2	yes	complemented
64	AGL(1,ℤ/8)×D₈₃	C₂²	1	2	yes	complemented
65	C₂×#14581815	—	2	1	no	—
66	C₂×#14581815	C₂²	1	1	yes	characteristic, complemented
67	#135×D₈₃	—	2	1	no	—
68	#135×D₈₃	—	2	1	no	—
69	#135×D₈₃	C₂²	1	1	yes	characteristic
70	C₂×D₈×D₈₃	—	2	1	no	—
71	C₂×D₈×D₈₃	C₂²	1	1	yes	characteristic, complemented
72	#19128466	C₂²	1	2	yes	complemented
73	#131×D₈₃	C₂²	1	1	yes	characteristic, complemented
74	#131×D₈₃	C₂²	1	1	yes	characteristic, complemented
75	#19128269	C₂²	1	2	yes	complemented
76	#19128091	C₂²	1	2	yes	complemented
77	#19128087	C₂²	1	2	yes	complemented
78	#19128086	C₂²	1	1	yes	characteristic, complemented
79	#19128078	C₂²	1	1	yes	characteristic, complemented
80	#19128076	C₂²	1	1	yes	characteristic, complemented
81	#19127973	C₂²	1	1	yes	characteristic, complemented
82	#19127972	C₂²	1	1	yes	characteristic, complemented
83	#19127972	C₂²	1	1	yes	characteristic, complemented
84	#19127972	C₂²	1	2	yes	complemented
85	#19127971	C₂²	1	1	yes	characteristic, complemented
86	#19127971	C₂²	1	1	yes	characteristic, complemented
87	#19127971	C₂²	1	2	yes	complemented
88	#19127970	C₂²	1	2	yes	complemented
89	#19127970	C₂²	1	2	yes	complemented
90	#19127969	C₂²	1	2	yes	complemented
91	#19127969	C₂²	1	2	yes	complemented
92	#19127968	C₂²	1	1	yes	characteristic, complemented
93	#19127967	C₂²	1	2	yes	complemented
94	#19127967	C₂²	1	2	yes	complemented
95	#19127966	C₂²	1	2	yes	complemented
96	#19127966	C₂²	1	2	yes	complemented
97	#19127961	C₂²	1	2	yes	complemented
98	#19127878	C₂²	1	2	yes	complemented
99	#19127877	C₂²	1	2	yes	complemented
100	#19127877	C₂²	1	2	yes	complemented
101	#19127876	C₂²	1	2	yes	complemented
102	#19127874	C₂²	1	2	yes	complemented
103	#19127873	C₂²	1	2	yes	complemented
104	#19127871	C₂²	1	2	yes	complemented
105	#19127870	C₂²	1	2	yes	complemented
106	#19127870	C₂²	1	2	yes	complemented
107	#19127870	C₂²	1	2	yes	complemented
108	#19127870	C₂²	1	2	yes	complemented
109	#19127869	C₂²	1	2	yes	complemented
110	#19127867	C₂²	1	2	yes	complemented
111	#19127867	C₂²	1	2	yes	complemented
112	#19127823	C₂²	1	1	yes	characteristic, complemented
113	#19127822	C₂²	1	1	yes	characteristic, complemented
114	#19127821	C₂²	1	2	yes	complemented
115	#19127820	C₂²	1	1	yes	characteristic, complemented
116	#19127820	C₂²	1	1	yes	characteristic, complemented
117	#19127820	C₂²	1	2	yes	complemented
118	#19127819	C₂²	1	1	yes	characteristic, complemented
119	#19127819	C₂²	1	1	yes	characteristic, complemented
120	#19127818	C₂²	1	1	yes	characteristic, complemented
121	#19127817	C₂²	1	1	yes	characteristic, complemented
122	#19127816	C₂²	1	1	yes	characteristic, complemented
123	#19127816	C₂²	1	1	yes	characteristic, complemented
124	#19127748	C₂²	1	1	yes	characteristic, complemented
125	#108×D₈₃	C₂²	1	1	yes	characteristic, complemented
126	#19127716	C₂²	1	1	yes	characteristic, complemented
127	#19127716	C₂²	1	2	yes	complemented
128	#19127716	C₂²	1	1	yes	characteristic, complemented
129	#19127684	C₂²	1	2	yes	complemented
130	#100×D₈₃	C₂²	1	2	yes	complemented
131	#19127655	C₂²	1	1	yes	characteristic, complemented
132	#578×C₈₃	C₂²	1	1	yes	characteristic, complemented
133	#577×C₈₃	C₂²	1	2	yes	complemented
134	#576×C₈₃	C₂²	1	1	yes	characteristic, complemented
135	#495×C₈₃	C₂²	1	1	yes	characteristic, complemented
136	#473×C₈₃	C₂²	1	1	yes	characteristic, complemented
137	#472×C₈₃	C₂²	1	1	yes	characteristic, complemented
138	#471×C₈₃	C₂²	1	2	yes	complemented
139	#455×C₈₃	C₂²	1	2	yes	complemented
140	#454×C₈₃	C₂²	1	2	yes	complemented
141	#443×C₈₃	C₂²	1	1	yes	characteristic, complemented
142	#443×C₈₃	C₂²	1	1	yes	characteristic, complemented
143	#14581840	—	2	2	no	—
144	#14581840	—	2	2	no	—
145	#14581840	C₂³	1	2	yes	complemented
146	#14581838	—	2	2	no	—
147	#14581838	—	2	2	no	—
148	#14581838	—	2	2	no	—
149	#14581838	—	2	2	no	—
150	#14581838	—	4	2	no	—
151	#14581838	C₂³	1	2	yes	—
152	#14581838	C₂³	1	2	yes	—
153	#14581838	C₂³	1	2	yes	complemented
154	#14581838	C₂³	1	2	yes	complemented
155	#14581837	—	2	2	no	—
156	#14581837	—	2	2	no	—
157	#14581837	—	4	2	no	—
158	#14581837	C₂³	1	2	yes	—
159	C₂×#13050591	—	2	2	no	—
160	C₂×#13050591	—	2	2	no	—
161	C₂×#13050591	C₂³	1	2	yes	—
162	#41×D₈₃	—	2	2	no	—
163	#41×D₈₃	—	2	2	no	—
164	#41×D₈₃	—	2	2	no	—
165	#41×D₈₃	—	2	2	no	—
166	#41×D₈₃	—	4	2	no	—
167	#41×D₈₃	C₂³	1	1	yes	characteristic
168	#41×D₈₃	C₂³	1	1	yes	characteristic
169	#41×D₈₃	C₂³	1	2	yes	—
170	C₂×D₄×D₈₃	—	2	2	no	—
171	C₂×D₄×D₈₃	—	2	2	no	—
172	C₂×D₄×D₈₃	—	4	2	no	—
173	C₂×D₄×D₈₃	C₂³	1	2	yes	—
174	#14581824	—	2	2	no	—
175	#14581824	—	2	2	no	—
176	#14581824	—	2	2	no	—
177	#14581824	—	2	2	no	—
178	#14581824	—	2	2	no	—
179	#14581824	D₄	1	1	yes	characteristic, complemented
180	#14581824	D₄	1	1	yes	characteristic, complemented
181	#14581823	—	2	2	no	—
182	#14581823	—	2	2	no	—
183	#14581823	C₂³	1	2	yes	—
184	#14581823	C₂³	1	2	yes	complemented
185	#14581821	—	2	2	no	—
186	#14581821	D₄	1	1	yes	characteristic, complemented
187	#14581821	D₄	1	1	yes	characteristic, complemented
188	#14581820	—	2	2	no	—
189	#14581820	—	2	2	no	—
190	#14581820	—	2	2	no	—
191	#14581820	—	2	2	no	—
192	#14581820	C₂³	1	2	yes	—
193	#14581820	C₂³	1	2	yes	—
194	#14581820	C₂³	1	2	yes	complemented
195	#14581820	C₂³	1	2	yes	complemented
196	#14581819	—	2	2	no	—
197	#14581819	—	2	2	no	—
198	#14581819	—	2	2	no	—
199	#14581819	—	2	2	no	—
200	#14581819	—	2	2	no	—
201	#14581819	—	2	2	no	—
202	#14581819	—	2	2	no	—
203	#14581819	—	2	2	no	—
204	#14581819	—	2	2	no	—
205	#14581819	—	2	2	no	—
206	#14581819	—	2	2	no	—
207	#14581819	—	2	2	no	—
208	#14581819	—	2	2	no	—
209	#14581819	—	2	2	no	—
210	#14581819	—	2	2	no	—
211	#14581819	—	2	2	no	—
212	#14581819	—	2	2	no	—
213	#14581819	D₄	1	1	yes	characteristic, complemented
214	#14581819	D₄	1	1	yes	characteristic, complemented
215	#14581818	—	2	2	no	—
216	#14581818	—	2	2	no	—
217	#14581818	C₂³	1	2	yes	—
218	#14581818	C₂³	1	2	yes	complemented
219	#14581817	—	2	2	no	—
220	#14581817	—	2	2	no	—
221	#14581817	—	2	2	no	—
222	#14581817	—	2	2	no	—
223	#14581817	C₂³	1	2	yes	—
224	#14581817	C₂³	1	2	yes	—
225	#14581817	C₂³	1	2	yes	complemented
226	#14581817	C₂³	1	2	yes	complemented
227	#14581816	—	2	2	no	—
228	#14581816	—	2	2	no	—
229	#14581816	—	2	2	no	—
230	#14581816	—	2	2	no	—
231	#14581816	—	2	2	no	—
232	#14581816	D₄	1	1	yes	characteristic, complemented
233	#14581816	D₄	1	1	yes	characteristic, complemented
234	#14581815	—	2	2	no	—
235	#14581815	—	2	2	no	—
236	#14581815	—	2	2	no	—
237	#14581815	—	2	2	no	—
238	#14581815	—	2	1	no	—
239	#14581815	—	2	1	no	—
240	#14581815	—	2	1	no	—
241	#14581815	—	2	1	no	—
242	#14581815	—	2	1	no	—
243	#14581815	—	2	1	no	—
244	#14581815	—	2	1	no	—
245	#14581815	—	2	2	no	—
246	#14581815	D₄	1	1	yes	characteristic, complemented
247	#14581814	—	2	1	no	—
248	#14581814	—	2	1	no	—
249	#14581814	—	2	2	no	—
250	#14581814	C₂³	1	1	yes	characteristic
251	#14581814	C₂³	1	1	yes	characteristic
252	#14581813	—	2	2	no	—
253	#14581813	—	2	2	no	—
254	#14581813	—	2	2	no	—
255	#14581813	—	2	2	no	—
256	#14581813	—	2	2	no	—
257	#14581813	D₄	1	2	yes	complemented
258	#14581812	—	2	2	no	—
259	#14581812	—	2	2	no	—
260	#14581812	—	2	2	no	—
261	#14581812	—	2	2	no	—
262	#14581812	C₂³	1	1	yes	characteristic
263	#14581812	C₂³	1	1	yes	characteristic
264	#14581812	C₂³	1	2	yes	—
265	#14581811	—	2	1	no	—
266	#14581811	D₄	1	1	yes	characteristic, complemented
267	Q₁₆×D₈₃	—	2	1	no	—
268	Q₁₆×D₈₃	D₄	1	1	yes	characteristic, complemented
269	C₂×#13050577	—	2	2	no	—
270	C₂×#13050577	—	2	2	no	—
271	C₂×#13050577	C₂³	1	2	yes	complemented
272	C₂×#13050577	C₂³	1	2	yes	complemented
273	SD₁₆×D₈₃	—	2	2	no	—
274	SD₁₆×D₈₃	—	2	2	no	—
275	SD₁₆×D₈₃	—	2	2	no	—
276	SD₁₆×D₈₃	—	2	2	no	—
277	SD₁₆×D₈₃	—	2	2	no	—
278	SD₁₆×D₈₃	D₄	1	2	yes	complemented
279	C₂×D₆₆₄	—	2	1	no	—
280	C₂×D₆₆₄	—	2	1	no	—
281	C₂×D₆₆₄	—	2	2	no	—
282	C₂×D₆₆₄	C₂³	1	1	yes	characteristic
283	C₂×D₆₆₄	C₂³	1	1	yes	characteristic, complemented
284	C₂×D₆₆₄	C₂³	1	2	yes	complemented
285	C₂×#13050575	—	2	2	no	—
286	C₂×#13050575	—	2	2	no	—
287	C₂×#13050575	C₂³	1	2	yes	—
288	C₂×#13050575	C₂³	1	2	yes	complemented
289	D₈×D₈₃	—	2	2	no	—
290	D₈×D₈₃	—	2	2	no	—
291	D₈×D₈₃	—	2	1	no	—
292	D₈×D₈₃	—	2	2	no	—
293	D₈×D₈₃	—	2	2	no	—
294	D₈×D₈₃	—	2	1	no	—
295	D₈×D₈₃	—	2	1	no	—
296	D₈×D₈₃	—	2	1	no	—
297	D₈×D₈₃	—	2	1	no	—
298	D₈×D₈₃	—	2	1	no	—
299	D₈×D₈₃	—	2	1	no	—
300	D₈×D₈₃	—	2	2	no	—
301	D₈×D₈₃	D₄	1	1	yes	characteristic, complemented
302	#14581800	—	2	2	no	—
303	#14581800	—	2	1	no	—
304	#14581800	—	2	1	no	—
305	#14581800	C₂³	1	1	yes	characteristic
306	#14581800	C₂³	1	2	yes	complemented
307	#14581800	C₂³	1	1	yes	characteristic, complemented
308	#14581799	C₂³	1	1	yes	characteristic
309	#14581799	C₂³	1	2	yes	complemented
310	#14581799	C₂³	1	1	yes	characteristic, complemented
311	#14581798	—	2	2	no	—
312	#14581798	—	2	1	no	—
313	#14581798	—	2	1	no	—
314	#14581798	C₂³	1	1	yes	characteristic
315	#14581798	C₂³	1	1	yes	characteristic, complemented
316	#14581798	C₂³	1	2	yes	complemented
317	C₂×#13050573	—	2	2	no	—
318	C₂×#13050573	C₂³	1	1	yes	characteristic
319	M₁₆×D₈₃	—	2	2	no	—
320	M₁₆×D₈₃	—	2	1	no	—
321	M₁₆×D₈₃	—	2	1	no	—
322	M₁₆×D₈₃	C₂³	1	1	yes	characteristic
323	M₁₆×D₈₃	C₂³	1	2	yes	—
324	M₁₆×D₈₃	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₈₃	—	2	1	no	—
326	C₂×C₈×D₈₃	—	2	1	no	—
327	C₂×C₈×D₈₃	C₂³	1	1	yes	characteristic
328	#14581789	C₂³	1	2	yes	complemented
329	#14581788	C₂³	1	2	yes	complemented
330	#14581781	C₂³	1	2	yes	complemented
331	#14581765	—	4	2	no	—
332	#14581762	—	4	2	no	—
333	#14581749	C₂³	1	1	yes	characteristic
334	#14581728	C₂³	1	1	yes	characteristic, complemented
335	#14581728	C₂³	1	1	yes	characteristic, complemented
336	#14581727	C₂³	1	1	yes	characteristic, complemented
337	#14581727	C₂³	1	1	yes	characteristic, complemented
338	#14581727	C₂³	1	2	yes	complemented
339	#14581720	C₂³	1	1	yes	characteristic
340	#14581720	C₂³	1	1	yes	characteristic, complemented
341	#14581720	C₂³	1	2	yes	complemented
342	#14581719	C₂³	1	1	yes	characteristic
343	#14581719	C₂³	1	1	yes	characteristic, complemented
344	#14581719	C₂³	1	2	yes	complemented
345	#14581718	C₂³	1	1	yes	characteristic
346	#14581718	C₂³	1	1	yes	characteristic, complemented
347	#14581718	C₂³	1	2	yes	complemented
348	#14581711	C₂³	1	2	yes	complemented
349	#14581709	C₂³	1	2	yes	complemented
350	#14581708	C₂³	1	2	yes	complemented
351	#14581708	C₂³	1	2	yes	complemented
352	#14581708	C₂³	1	2	yes	complemented
353	#14581708	C₂³	1	2	yes	complemented
354	#14581703	C₂³	1	1	yes	characteristic, complemented
355	#14581702	C₂³	1	1	yes	characteristic, complemented
356	C₈×Dic₈₃	C₂³	1	1	yes	characteristic, complemented
357	2₋¹⁺⁴×C₈₃	C₂³	1	2	yes	complemented
358	H(5,𝔽₂)×C₈₃	C₂³	1	2	yes	—
359	#137×C₈₃	—	2	2	no	—
360	#137×C₈₃	—	2	2	no	—
361	#137×C₈₃	C₂³	1	2	yes	—
362	#137×C₈₃	C₂³	1	2	yes	complemented
363	AGL(1,ℤ/8)×C₈₃	—	2	2	no	—
364	AGL(1,ℤ/8)×C₈₃	—	2	2	no	—
365	AGL(1,ℤ/8)×C₈₃	C₂³	1	2	yes	—
366	AGL(1,ℤ/8)×C₈₃	C₂³	1	2	yes	complemented
367	#135×C₈₃	—	2	1	no	—
368	#135×C₈₃	—	2	2	no	—
369	#135×C₈₃	—	2	1	no	—
370	#135×C₈₃	C₂³	1	1	yes	characteristic
371	#135×C₈₃	C₂³	1	1	yes	characteristic
372	C₂×Q₁₆×C₈₃	—	2	1	no	—
373	C₂×Q₁₆×C₈₃	C₂³	1	1	yes	characteristic, complemented
374	C₂×SD₁₆×C₈₃	—	2	2	no	—
375	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	complemented
376	C₂×D₈×C₈₃	—	2	1	no	—
377	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
378	#131×C₈₃	C₂³	1	1	yes	characteristic
379	#131×C₈₃	C₂³	1	2	yes	complemented
380	#131×C₈₃	C₂³	1	1	yes	characteristic, complemented
381	#124×C₈₃	C₂³	1	2	yes	complemented
382	#108×C₈₃	C₂³	1	1	yes	characteristic, complemented
383	#108×C₈₃	C₂³	1	1	yes	characteristic, complemented
384	#104×C₈₃	C₂³	1	1	yes	characteristic
385	#104×C₈₃	C₂³	1	1	yes	characteristic, complemented
386	#104×C₈₃	C₂³	1	2	yes	complemented
387	#101×C₈₃	C₂³	1	2	yes	complemented
388	#100×C₈₃	C₂³	1	2	yes	complemented
389	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic, complemented
390	C₂³×D₈₃	—	2	2	no	—
391	C₂³×D₈₃	—	4	2	no	—
392	#13050591	—	2	2	no	—
393	#13050591	—	2	2	no	—
394	#13050591	—	2	2	no	—
395	#13050591	—	2	2	no	—
396	#13050591	—	2	2	no	—
397	#13050591	—	2	2	no	—
398	#13050591	—	2	2	no	—
399	#13050591	—	2	2	no	—
400	#13050591	—	2	2	no	—
401	#13050591	—	2	2	no	—
402	#13050591	—	4	2	no	—
403	#13050591	—	4	2	no	—
404	#13050591	—	4	2	no	—
405	#13050591	C₂×D₄	1	2	yes	—
406	#13050591	C₂×D₄	1	1	yes	characteristic
407	#13050591	C₂×D₄	1	1	yes	characteristic
408	#13050590	—	2	1	no	—
409	#13050590	—	2	2	no	—
410	#13050590	—	2	1	no	—
411	#13050590	—	2	2	no	—
412	#13050590	—	2	2	no	—
413	#13050590	—	2	2	no	—
414	#13050590	—	2	2	no	—
415	#13050590	—	4	2	no	—
416	#13050590	—	4	2	no	—
417	#13050590	—	4	2	no	—
418	#13050590	—	4	2	no	—
419	#13050590	—	4	2	no	—
420	#13050590	—	4	2	no	—
421	#13050590	—	4	2	no	—
422	#13050590	C₂⁴	1	1	yes	characteristic
423	#13050590	C₂⁴	1	2	yes	—
424	#13050590	C₂⁴	1	1	yes	characteristic
425	#13050589	—	2	1	no	—
426	#13050589	—	2	2	no	—
427	#13050589	—	2	1	no	—
428	#13050589	—	2	2	no	—
429	#13050589	—	2	2	no	—
430	#13050589	—	4	2	no	—
431	#13050589	—	4	2	no	—
432	#13050589	—	4	2	no	—
433	#13050589	C₂×D₄	1	2	yes	—
434	#13050589	C₂×D₄	1	1	yes	characteristic
435	#13050589	C₂×D₄	1	1	yes	characteristic
436	Q₈×D₈₃	—	2	2	no	—
437	Q₈×D₈₃	—	2	2	no	—
438	Q₈×D₈₃	—	4	2	no	—
439	Q₈×D₈₃	C₂×D₄	1	1	yes	characteristic
440	Q₈×D₈₃	C₂×D₄	1	2	yes	—
441	Q₈×D₈₃	C₂×D₄	1	1	yes	characteristic
442	C₂×D₃₃₂	—	2	2	no	—
443	C₂×D₃₃₂	—	2	2	no	—
444	C₂×D₃₃₂	—	2	2	no	—
445	C₂×D₃₃₂	—	2	2	no	—
446	C₂×D₃₃₂	—	2	2	no	—
447	C₂×D₃₃₂	—	4	2	no	—
448	C₂×D₃₃₂	—	4	2	no	—
449	C₂×D₃₃₂	—	4	2	no	—
450	C₂×D₃₃₂	—	4	2	no	—
451	C₂×D₃₃₂	C₂⁴	1	2	yes	—
452	C₂×D₃₃₂	C₂⁴	1	2	yes	—
453	C₂×C₂²⋊D₈₃	—	2	2	no	—
454	C₂×C₂²⋊D₈₃	—	4	2	no	—
455	C₂×C₂²⋊D₈₃	—	4	2	no	—
456	C₂×C₂²⋊D₈₃	—	4	2	no	—
457	C₂×C₂²⋊D₈₃	—	4	2	no	—
458	C₂×C₂²⋊D₈₃	—	4	2	no	—
459	D₄×D₈₃	—	2	1	no	—
460	D₄×D₈₃	—	2	2	no	—
461	D₄×D₈₃	—	2	1	no	—
462	D₄×D₈₃	—	2	2	no	—
463	D₄×D₈₃	—	2	2	no	—
464	D₄×D₈₃	—	2	2	no	—
465	D₄×D₈₃	—	2	2	no	—
466	D₄×D₈₃	—	2	2	no	—
467	D₄×D₈₃	—	2	2	no	—
468	D₄×D₈₃	—	2	2	no	—
469	D₄×D₈₃	—	2	2	no	—
470	D₄×D₈₃	—	2	2	no	—
471	D₄×D₈₃	—	2	2	no	—
472	D₄×D₈₃	—	4	2	no	—
473	D₄×D₈₃	—	4	2	no	—
474	D₄×D₈₃	—	4	2	no	—
475	D₄×D₈₃	—	4	2	no	—
476	D₄×D₈₃	—	4	2	no	—
477	D₄×D₈₃	—	4	2	no	—
478	D₄×D₈₃	—	4	2	no	—
479	D₄×D₈₃	—	4	2	no	—
480	D₄×D₈₃	—	4	2	no	—
481	D₄×D₈₃	—	4	2	no	—
482	D₄×D₈₃	—	4	2	no	—
483	D₄×D₈₃	—	4	2	no	—
484	D₄×D₈₃	—	4	2	no	—
485	D₄×D₈₃	C₂×D₄	1	1	yes	characteristic
486	D₄×D₈₃	C₂×D₄	1	2	yes	—
487	D₄×D₈₃	C₂×D₄	1	1	yes	characteristic
488	C₂×C₄×D₈₃	—	2	1	no	—
489	C₂×C₄×D₈₃	—	2	1	no	—
490	C₂×C₄×D₈₃	—	2	2	no	—
491	C₂×C₄×D₈₃	—	2	2	no	—
492	C₂×C₄×D₈₃	—	4	2	no	—
493	C₂×C₄×D₈₃	—	4	2	no	—
494	C₂×C₄×D₈₃	—	4	2	no	—
495	C₂×C₄×D₈₃	C₂⁴	1	1	yes	characteristic
496	Dic₃₃₂	C₂×D₄	1	1	yes	characteristic
497	Dic₃₃₂	C₂×D₄	1	1	yes	characteristic
498	#13050580	—	2	2	no	—
499	#13050580	—	2	2	no	—
500	#13050580	C₂×D₄	1	2	yes	—
501	#13050580	C₂×D₄	1	1	yes	characteristic
502	#13050580	C₂×D₄	1	1	yes	characteristic
503	#13050579	—	2	2	no	—
504	#13050579	—	2	2	no	—
505	#13050579	—	2	2	no	—
506	#13050579	—	2	2	no	—
507	#13050579	C₂×D₄	1	1	yes	characteristic
508	#13050579	C₂×D₄	1	2	yes	—
509	#13050579	C₂×D₄	1	1	yes	characteristic
510	#13050578	—	2	2	no	—
511	#13050578	—	2	2	no	—
512	#13050578	C₂×D₄	1	1	yes	characteristic
513	#13050578	C₂×D₄	1	2	yes	—
514	#13050578	C₂×D₄	1	1	yes	characteristic
515	#13050577	—	2	2	no	—
516	#13050577	—	2	2	no	—
517	#13050577	—	2	2	no	—
518	#13050577	—	2	2	no	—
519	#13050577	—	2	2	no	—
520	#13050577	—	2	2	no	—
521	#13050577	—	2	2	no	—
522	#13050577	—	2	2	no	—
523	#13050577	—	2	2	no	—
524	#13050577	—	2	2	no	—
525	#13050577	C₂×D₄	1	2	yes	—
526	#13050577	C₂×D₄	1	1	yes	characteristic
527	#13050577	C₂×D₄	1	1	yes	characteristic
528	D₆₆₄	—	2	2	no	—
529	D₆₆₄	—	2	2	no	—
530	D₆₆₄	—	2	2	no	—
531	D₆₆₄	—	2	2	no	—
532	D₆₆₄	—	2	1	no	—
533	D₆₆₄	—	2	1	no	—
534	D₆₆₄	—	2	1	no	—
535	D₆₆₄	—	2	2	no	—
536	D₆₆₄	—	2	2	no	—
537	D₆₆₄	—	2	1	no	—
538	D₆₆₄	C₂×D₄	1	1	yes	characteristic
539	D₆₆₄	C₂×D₄	1	1	yes	characteristic
540	#13050575	—	2	2	no	—
541	#13050575	—	2	2	no	—
542	#13050575	—	2	2	no	—
543	#13050575	—	2	2	no	—
544	#13050575	—	2	2	no	—
545	#13050575	—	2	2	no	—
546	#13050575	—	2	2	no	—
547	#13050575	—	2	2	no	—
548	#13050575	—	2	2	no	—
549	#13050575	—	2	2	no	—
550	#13050575	C₂×D₄	1	1	yes	characteristic
551	#13050575	C₂×D₄	1	2	yes	—
552	#13050575	C₂×D₄	1	1	yes	characteristic
553	#13050574	—	2	1	no	—
554	#13050574	—	2	2	no	—
555	#13050574	—	2	1	no	—
556	#13050574	C₂⁴	1	1	yes	characteristic
557	#13050574	C₂⁴	1	2	yes	—
558	#13050574	C₂⁴	1	1	yes	characteristic
559	#13050573	—	2	2	no	—
560	#13050573	—	2	1	no	—
561	#13050573	—	2	1	no	—
562	#13050573	—	2	1	no	—
563	#13050573	—	2	1	no	—
564	#13050573	—	2	2	no	—
565	#13050573	—	2	1	no	—
566	#13050573	—	2	1	no	—
567	#13050573	—	2	2	no	—
568	#13050573	C₂×D₄	1	1	yes	characteristic
569	#13050573	C₂×D₄	1	1	yes	characteristic
570	#13050573	C₂×D₄	1	1	yes	characteristic
571	#13050573	C₂×D₄	1	1	yes	characteristic
572	C₂×C₈₃⋊C₈	—	2	1	no	—
573	C₂×C₈₃⋊C₈	—	2	1	no	—
574	C₂×C₈₃⋊C₈	—	2	2	no	—
575	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
576	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
577	C₈×D₈₃	—	2	1	no	—
578	C₈×D₈₃	—	2	1	no	—
579	C₈×D₈₃	—	2	2	no	—
580	C₈×D₈₃	—	2	1	no	—
581	C₈×D₈₃	—	2	1	no	—
582	C₈×D₈₃	—	2	2	no	—
583	C₈×D₈₃	—	2	1	no	—
584	C₈×D₈₃	—	2	1	no	—
585	C₈×D₈₃	—	2	2	no	—
586	C₈×D₈₃	C₂×D₄	1	1	yes	characteristic
587	C₈×D₈₃	C₂×D₄	1	1	yes	characteristic
588	C₈×D₈₃	C₂×D₄	1	1	yes	characteristic
589	C₈×D₈₃	C₂×D₄	1	1	yes	characteristic
590	Dic₈₃⋊C₄	—	2	1	no	—
591	(C₂×D₈₃)⋊C₄	—	2	1	no	—
592	(C₂×D₈₃)⋊C₄	—	4	2	no	—
593	C₄×Dic₈₃	C₂⁴	1	1	yes	characteristic
594	#41×C₈₃	—	2	2	no	—
595	#41×C₈₃	—	2	2	no	—
596	#41×C₈₃	—	2	2	no	—
597	#41×C₈₃	—	2	2	no	—
598	#41×C₈₃	—	4	2	no	—
599	#41×C₈₃	C₂⁴	1	1	yes	characteristic
600	#41×C₈₃	C₂⁴	1	2	yes	—
601	#41×C₈₃	C₂⁴	1	1	yes	characteristic
602	C₂×Q₈×C₈₃	—	2	2	no	—
603	C₂×Q₈×C₈₃	—	2	2	no	—
604	C₂×Q₈×C₈₃	C₂⁴	1	2	yes	—
605	C₂×D₄×C₈₃	—	2	2	no	—
606	C₂×D₄×C₈₃	—	2	2	no	—
607	C₂×D₄×C₈₃	—	4	2	no	—
608	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
609	Q₁₆×C₈₃	—	2	2	no	—
610	Q₁₆×C₈₃	—	2	2	no	—
611	Q₁₆×C₈₃	—	2	1	no	—
612	Q₁₆×C₈₃	—	2	1	no	—
613	Q₁₆×C₈₃	C₂×D₄	1	1	yes	characteristic
614	Q₁₆×C₈₃	C₂×D₄	1	1	yes	characteristic
615	SD₁₆×C₈₃	—	2	2	no	—
616	SD₁₆×C₈₃	—	2	2	no	—
617	SD₁₆×C₈₃	—	2	2	no	—
618	SD₁₆×C₈₃	—	2	2	no	—
619	SD₁₆×C₈₃	—	2	2	no	—
620	SD₁₆×C₈₃	—	2	2	no	—
621	SD₁₆×C₈₃	C₂×D₄	1	2	yes	—
622	SD₁₆×C₈₃	C₂×D₄	1	1	yes	characteristic
623	SD₁₆×C₈₃	C₂×D₄	1	1	yes	characteristic
624	D₈×C₈₃	—	2	2	no	—
625	D₈×C₈₃	—	2	2	no	—
626	D₈×C₈₃	—	2	1	no	—
627	D₈×C₈₃	—	2	1	no	—
628	D₈×C₈₃	C₂×D₄	1	1	yes	characteristic
629	D₈×C₈₃	C₂×D₄	1	1	yes	characteristic
630	M₁₆×C₈₃	—	2	1	no	—
631	M₁₆×C₈₃	—	2	2	no	—
632	M₁₆×C₈₃	—	2	1	no	—
633	M₁₆×C₈₃	C₂⁴	1	1	yes	characteristic
634	M₁₆×C₈₃	C₂⁴	1	2	yes	—
635	M₁₆×C₈₃	C₂⁴	1	1	yes	characteristic
636	C₂×C₈×C₈₃	—	2	1	no	—
637	C₂×C₈×C₈₃	—	2	1	no	—
638	C₂×C₈×C₈₃	—	2	2	no	—
639	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
640	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
641	C₂²⋊C₄×C₈₃	—	4	2	no	—
642	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
643	C₂³×C₈₃	—	2	2	no	—
644	C₂³×C₈₃	—	4	2	no	—
645	C₂²×D₈₃	—	2	1	no	—
646	C₂²×D₈₃	—	2	1	no	—
647	C₂²×D₈₃	—	2	2	no	—
648	C₂²×D₈₃	—	2	2	no	—
649	C₂²×D₈₃	—	2	2	no	—
650	C₂²×D₈₃	—	4	2	no	—
651	C₂²×D₈₃	—	4	2	no	—
652	C₂²×D₈₃	—	4	2	no	—
653	C₂²×D₈₃	—	4	2	no	—
654	C₂²×D₈₃	—	4	2	no	—
655	C₂²×D₈₃	—	4	2	no	—
656	C₂²×D₈₃	—	4	2	no	—
657	C₂²×D₈₃	—	16	2	no	—
658	C₂²×D₈₃	—	16	4	no	—
659	C₂²×D₈₃	H(5,𝔽₂)	1	1	yes	characteristic
660	Q₈×C₈₃	—	2	2	no	—
661	Q₈×C₈₃	—	2	2	no	—
662	Q₈×C₈₃	—	4	2	no	—
663	Q₈×C₈₃	C₂²×D₄	1	1	yes	characteristic
664	Q₈×C₈₃	C₂²×D₄	1	2	yes	—
665	Q₈×C₈₃	C₂²×D₄	1	1	yes	characteristic
666	D₄×C₈₃	—	2	1	no	—
667	D₄×C₈₃	—	2	2	no	—
668	D₄×C₈₃	—	2	1	no	—
669	D₄×C₈₃	—	2	2	no	—
670	D₄×C₈₃	—	2	2	no	—
671	D₄×C₈₃	—	4	2	no	—
672	D₄×C₈₃	—	4	2	no	—
673	D₄×C₈₃	—	4	2	no	—
674	D₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
675	D₄×C₈₃	C₂²×D₄	1	2	yes	—
676	D₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
677	C₂×C₄×C₈₃	—	2	1	no	—
678	C₂×C₄×C₈₃	—	2	2	no	—
679	C₂×C₄×C₈₃	—	2	1	no	—
680	C₂×C₄×C₈₃	—	2	1	no	—
681	C₂×C₄×C₈₃	—	2	2	no	—
682	C₂×C₄×C₈₃	—	4	2	no	—
683	C₂×C₄×C₈₃	—	4	2	no	—
684	C₂×C₄×C₈₃	—	4	2	no	—
685	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
686	C₂²⋊D₈₃	—	2	1	no	—
687	C₂²⋊D₈₃	—	2	2	no	—
688	C₂²⋊D₈₃	—	2	1	no	—
689	C₂²⋊D₈₃	—	2	1	no	—
690	C₂²⋊D₈₃	—	2	2	no	—
691	C₂²⋊D₈₃	—	2	1	no	—
692	C₂²⋊D₈₃	—	2	1	no	—
693	C₂²⋊D₈₃	—	2	2	no	—
694	C₂²⋊D₈₃	—	2	1	no	—
695	C₂²⋊D₈₃	—	4	2	no	—
696	C₂²⋊D₈₃	—	4	2	no	—
697	C₂²⋊D₈₃	—	4	2	no	—
698	C₂²⋊D₈₃	—	4	2	no	—
699	C₂²⋊D₈₃	—	4	2	no	—
700	C₂²⋊D₈₃	—	4	2	no	—
701	C₂²⋊D₈₃	—	4	2	no	—
702	C₂²⋊D₈₃	—	4	2	no	—
703	C₂²⋊D₈₃	—	16	2	no	—
704	C₂×Dic₈₃	—	2	1	no	—
705	C₂×Dic₈₃	—	2	2	no	—
706	C₂×Dic₈₃	—	2	1	no	—
707	C₂×Dic₈₃	—	2	1	no	—
708	C₂×Dic₈₃	—	4	2	no	—
709	C₂×Dic₈₃	H(5,𝔽₂)	1	1	yes	characteristic
710	D₃₃₂	—	2	1	no	—
711	D₃₃₂	—	2	2	no	—
712	D₃₃₂	—	2	1	no	—
713	D₃₃₂	—	2	2	no	—
714	D₃₃₂	—	2	2	no	—
715	D₃₃₂	—	2	2	no	—
716	D₃₃₂	—	2	2	no	—
717	D₃₃₂	—	4	2	no	—
718	D₃₃₂	—	4	2	no	—
719	D₃₃₂	—	4	2	no	—
720	D₃₃₂	—	4	2	no	—
721	D₃₃₂	—	4	2	no	—
722	D₃₃₂	—	4	2	no	—
723	D₃₃₂	—	4	2	no	—
724	D₃₃₂	—	16	2	no	—
725	D₃₃₂	C₂²×D₄	1	1	yes	characteristic
726	D₃₃₂	C₂²×D₄	1	2	yes	—
727	D₃₃₂	C₂²×D₄	1	1	yes	characteristic
728	C₄×D₈₃	—	2	1	no	—
729	C₄×D₈₃	—	2	2	no	—
730	C₄×D₈₃	—	2	1	no	—
731	C₄×D₈₃	—	2	1	no	—
732	C₄×D₈₃	—	2	2	no	—
733	C₄×D₈₃	—	2	1	no	—
734	C₄×D₈₃	—	2	1	no	—
735	C₄×D₈₃	—	2	2	no	—
736	C₄×D₈₃	—	2	1	no	—
737	C₄×D₈₃	—	4	2	no	—
738	C₄×D₈₃	—	4	2	no	—
739	C₄×D₈₃	—	4	2	no	—
740	C₄×D₈₃	—	4	2	no	—
741	C₄×D₈₃	—	4	2	no	—
742	C₄×D₈₃	—	4	2	no	—
743	C₄×D₈₃	—	4	2	no	—
744	C₄×D₈₃	—	4	2	no	—
745	C₄×D₈₃	C₂²×D₄	1	1	yes	characteristic
746	C₄×D₈₃	C₂²×D₄	1	1	yes	characteristic
747	C₄×D₈₃	C₂²×D₄	1	1	yes	characteristic
748	C₄×D₈₃	C₂²×D₄	1	1	yes	characteristic
749	Dic₁₆₆	—	2	1	no	—
750	Dic₁₆₆	—	2	2	no	—
751	Dic₁₆₆	—	2	1	no	—
752	Dic₁₆₆	—	4	2	no	—
753	Dic₁₆₆	C₂²×D₄	1	1	yes	characteristic
754	Dic₁₆₆	C₂²×D₄	1	2	yes	—
755	Dic₁₆₆	C₂²×D₄	1	1	yes	characteristic
756	C₈×C₈₃	—	2	1	no	—
757	C₈×C₈₃	—	2	2	no	—
758	C₈×C₈₃	—	2	1	no	—
759	C₈×C₈₃	C₂²×D₄	1	1	yes	characteristic
760	C₈×C₈₃	C₂²×D₄	1	1	yes	characteristic
761	C₈×C₈₃	C₂²×D₄	1	1	yes	characteristic
762	C₈×C₈₃	C₂²×D₄	1	1	yes	characteristic
763	C₈₃⋊C₈	—	2	1	no	—
764	C₈₃⋊C₈	—	2	2	no	—
765	C₈₃⋊C₈	—	2	1	no	—
766	C₈₃⋊C₈	C₂²×D₄	1	1	yes	characteristic
767	C₈₃⋊C₈	C₂²×D₄	1	1	yes	characteristic
768	C₈₃⋊C₈	C₂²×D₄	1	1	yes	characteristic
769	C₈₃⋊C₈	C₂²×D₄	1	1	yes	characteristic
770	C₂²×C₈₃	—	2	1	no	—
771	C₂²×C₈₃	—	2	2	no	—
772	C₂²×C₈₃	—	2	1	no	—
773	C₂²×C₈₃	—	4	2	no	—
774	C₂²×C₈₃	—	8	2	no	—
775	C₂²×C₈₃	—	16	2	no	—
776	C₂²×C₈₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
777	C₂×D₈₃	—	2	1	no	—
778	C₂×D₈₃	—	2	2	no	—
779	C₂×D₈₃	—	2	1	no	—
780	C₂×D₈₃	—	4	1	no	—
781	C₂×D₈₃	—	4	2	no	—
782	C₂×D₈₃	—	4	2	no	—
783	C₂×D₈₃	—	4	2	no	—
784	C₂×D₈₃	—	8	1	no	—
785	C₂×D₈₃	—	8	2	no	—
786	C₂×D₈₃	—	8	4	no	—
787	C₂×D₈₃	—	8	2	no	—
788	C₂×D₈₃	—	8	2	no	—
789	C₂×D₈₃	—	16	2	no	—
790	C₂×D₈₃	—	16	2	no	—
791	C₂×D₈₃	—	16	2	no	—
792	C₂×D₈₃	—	16	2	no	—
793	C₂×D₈₃	—	16	2	no	—
794	C₂×D₈₃	—	16	2	no	—
795	C₂×D₈₃	D₄²	1	1	yes	characteristic
796	C₂×D₈₃	D₄²	1	1	yes	characteristic
797	C₄×C₈₃	—	2	1	no	—
798	C₄×C₈₃	—	2	2	no	—
799	C₄×C₈₃	—	2	1	no	—
800	C₄×C₈₃	—	4	1	no	—
801	C₄×C₈₃	—	4	2	no	—
802	C₄×C₈₃	C₂³×D₄	1	1	yes	characteristic
803	C₄×C₈₃	C₂³×D₄	1	1	yes	characteristic
804	Dic₈₃	—	2	1	no	—
805	Dic₈₃	—	2	2	no	—
806	Dic₈₃	—	2	1	no	—
807	Dic₈₃	—	4	1	no	—
808	Dic₈₃	D₄²	1	1	yes	characteristic
809	Dic₈₃	D₄²	1	1	yes	characteristic
810	#61106	—	83	1	no	maximal, Sylow
811	C₂×C₈₃	—	2	1	no	—
812	C₂×C₈₃	—	4	1	no	—
813	C₂×C₈₃	—	4	1	no	—
814	C₂×C₈₃	—	4	2	no	—
815	C₂×C₈₃	—	8	2	no	—
816	C₂×C₈₃	C₂×D₄²	1	1	yes	characteristic
817	D₈₃	—	2	1	no	—
818	D₈₃	—	2	1	no	—
819	D₈₃	—	4	1	no	—
820	D₈₃	—	4	1	no	—
821	D₈₃	—	4	2	no	—
822	D₈₃	—	8	2	no	—
823	D₈₃	—	8	2	no	—
824	#3585	—	83	2	no	—
825	#3584	—	83	1	no	—
826	C₂×#576	—	83	1	no	—
827	#3292	—	83	1	no	—
828	#3292	—	83	1	no	—
829	#3292	—	83	1	no	—
830	#3292	—	83	1	no	—
831	#3290	—	83	1	no	—
832	#3290	—	83	1	no	—
833	#3290	—	83	1	no	—
834	#3290	D₈₃	1	1	yes	characteristic, complemented
835	#3288	—	83	2	no	—
836	#3288	—	83	2	no	—
837	#3288	—	83	2	no	—
838	#3288	—	83	2	no	—
839	#3155	—	83	1	no	—
840	#3068	—	83	2	no	—
841	#3067	—	83	1	no	—
842	C₂×#472	—	83	1	no	—
843	#3021	—	83	2	no	—
844	#3019	—	83	2	no	—
845	#2957	—	83	1	no	—
846	#2955	—	83	1	no	—
847	C₈₃	#61106	1	1	yes	characteristic, complemented, Sylow
848	#585	—	83	2	no	—
849	C₂×H(5,𝔽₂)	—	83	2	no	—
850	#578	—	83	1	no	—
851	#578	—	166	1	no	—
852	#578	C₂×D₈₃	1	1	yes	characteristic, complemented
853	#577	—	83	2	no	—
854	#577	—	83	2	no	—
855	#577	—	83	2	no	—
856	#577	—	83	2	no	—
857	#577	—	83	2	no	—
858	#577	—	166	2	no	—
859	#577	—	166	2	no	—
860	#577	—	166	2	no	—
861	#577	C₂×D₈₃	1	2	yes	complemented
862	#576	—	83	2	no	—
863	#576	—	83	2	no	—
864	#576	—	83	2	no	—
865	#576	—	83	2	no	—
866	#576	—	83	1	no	—
867	#576	—	83	2	no	—
868	#576	—	83	1	no	—
869	#576	—	83	1	no	—
870	#576	—	83	1	no	—
871	#576	—	83	1	no	—
872	#576	—	83	2	no	—
873	#576	—	166	1	no	—
874	#576	—	166	1	no	—
875	#576	—	166	1	no	—
876	#576	—	166	2	no	—
877	#576	—	166	2	no	—
878	#576	—	166	2	no	—
879	#576	C₂×D₈₃	1	1	yes	characteristic, complemented
880	#575	—	83	1	no	—
881	#575	—	83	2	no	—
882	#575	—	83	2	no	—
883	#575	—	166	2	no	—
884	#575	—	166	2	no	—
885	#575	—	166	2	no	—
886	C₂×AGL(1,ℤ/8)	—	83	2	no	—
887	C₂×AGL(1,ℤ/8)	—	83	2	no	—
888	C₂×AGL(1,ℤ/8)	—	83	2	no	—
889	C₂×AGL(1,ℤ/8)	—	166	2	no	—
890	C₂×AGL(1,ℤ/8)	—	166	2	no	—
891	C₂×AGL(1,ℤ/8)	—	166	2	no	—
892	C₂×#135	—	83	1	no	—
893	C₂×#135	—	83	1	no	—
894	C₂×#135	—	166	1	no	—
895	C₂×#135	—	166	1	no	—
896	C₂×#135	—	166	1	no	—
897	C₂²×D₈	—	83	1	no	—
898	C₂²×D₈	—	166	1	no	—
899	#568	—	83	2	no	—
900	C₂×#131	—	83	1	no	—
901	C₂×#131	—	83	1	no	—
902	#535	—	83	2	no	—
903	#496	—	83	2	no	—
904	#496	—	83	2	no	—
905	#495	—	83	1	no	—
906	#495	C₂×D₈₃	1	1	yes	characteristic, complemented
907	#493	—	83	1	no	—
908	#493	—	83	1	no	—
909	#473	—	83	1	no	—
910	#473	C₂×D₈₃	1	1	yes	characteristic, complemented
911	#472	—	83	2	no	—
912	#472	—	83	2	no	—
913	#472	—	83	1	no	—
914	#472	—	83	1	no	—
915	#472	—	83	2	no	—
916	#472	—	83	1	no	—
917	#472	—	83	2	no	—
918	#472	—	83	1	no	—
919	#472	—	83	1	no	—
920	#472	—	83	2	no	—
921	#472	—	83	2	no	—
922	#472	C₂×D₈₃	1	1	yes	characteristic, complemented
923	#471	—	83	2	no	—
924	#471	—	83	2	no	—
925	#471	—	83	2	no	—
926	#471	—	83	2	no	—
927	#471	—	83	2	no	—
928	#471	C₂×D₈₃	1	2	yes	complemented
929	#455	—	83	2	no	—
930	#455	—	83	2	no	—
931	#455	—	83	2	no	—
932	#455	C₂×D₈₃	1	2	yes	complemented
933	#454	—	83	2	no	—
934	#454	—	83	2	no	—
935	#454	—	83	2	no	—
936	#454	C₂×D₈₃	1	2	yes	complemented
937	#453	—	83	2	no	—
938	#453	—	83	2	no	—
939	#453	—	83	2	no	—
940	#453	—	83	2	no	—
941	#453	—	83	2	no	—
942	#453	—	83	2	no	—
943	#453	—	83	2	no	—
944	#453	—	83	2	no	—
945	#444	—	83	1	no	—
946	#444	—	83	2	no	—
947	#444	—	83	1	no	—
948	#444	—	83	1	no	—
949	#444	—	83	1	no	—
950	#444	—	83	2	no	—
951	#443	—	83	1	no	—
952	#443	—	83	1	no	—
953	#443	—	83	1	no	—
954	#443	—	83	1	no	—
955	#443	—	83	1	no	—
956	#443	—	83	1	no	—
957	#443	C₂×D₈₃	1	1	yes	characteristic, complemented
958	#443	C₂×D₈₃	1	1	yes	characteristic, complemented
959	#430	—	83	1	no	—
960	C₂×#108	—	83	1	no	—
961	#421	—	83	1	no	—
962	#421	—	83	1	no	—
963	#421	—	83	2	no	—
964	#413	—	83	2	no	—
965	C₂×#100	—	83	2	no	—
966	#405	—	83	1	no	—
967	2₋¹⁺⁴	—	83	2	no	—
968	2₋¹⁺⁴	—	166	2	no	—
969	2₋¹⁺⁴	—	166	2	no	—
970	2₋¹⁺⁴	C₂²×D₈₃	1	2	yes	complemented
971	H(5,𝔽₂)	—	332	2	no	—
972	H(5,𝔽₂)	—	332	2	no	—
973	H(5,𝔽₂)	—	83	2	no	—
974	H(5,𝔽₂)	—	83	2	no	—
975	H(5,𝔽₂)	—	83	2	no	—
976	H(5,𝔽₂)	—	83	2	no	—
977	H(5,𝔽₂)	—	83	2	no	—
978	H(5,𝔽₂)	—	166	2	no	—
979	H(5,𝔽₂)	—	166	2	no	—
980	H(5,𝔽₂)	—	166	2	no	—
981	H(5,𝔽₂)	—	166	2	no	—
982	H(5,𝔽₂)	—	166	2	no	—
983	H(5,𝔽₂)	—	166	2	no	—
984	H(5,𝔽₂)	C₂²×D₈₃	1	2	yes	—
985	C₂×#41	—	332	2	no	—
986	C₂×#41	—	83	1	no	—
987	C₂×#41	—	83	1	no	—
988	C₂×#41	—	83	2	no	—
989	C₂×#41	—	83	2	no	—
990	C₂×#41	—	166	2	no	—
991	C₂×#41	—	166	2	no	—
992	C₂×#41	—	166	2	no	—
993	C₂×#41	—	166	2	no	—
994	C₂×#41	—	166	2	no	—
995	C₂×#41	—	166	2	no	—
996	C₂²×D₄	—	332	2	no	—
997	C₂²×D₄	—	83	2	no	—
998	C₂²×D₄	—	166	2	no	—
999	C₂²×D₄	—	166	2	no	—
1000	#137	—	2	2	no	—
1001	#137	—	2	2	no	—
1002	#137	—	83	1	no	—
1003	#137	—	83	1	no	—
1004	#137	—	83	1	no	—
1005	#137	—	83	1	no	—
1006	#137	—	83	2	no	—
1007	#137	—	83	2	no	—
1008	#137	—	166	2	no	—
1009	#137	—	166	2	no	—
1010	#137	—	166	2	no	—
1011	#137	—	166	2	no	—
1012	#137	—	166	2	no	—
1013	#137	—	166	2	no	—
1014	#137	—	166	2	no	—
1015	#137	—	166	2	no	—
1016	#137	C₂²×D₈₃	1	2	yes	—
1017	#137	C₂²×D₈₃	1	2	yes	complemented
1018	AGL(1,ℤ/8)	—	2	2	no	—
1019	AGL(1,ℤ/8)	—	2	2	no	—
1020	AGL(1,ℤ/8)	—	83	1	no	—
1021	AGL(1,ℤ/8)	—	83	1	no	—
1022	AGL(1,ℤ/8)	—	83	1	no	—
1023	AGL(1,ℤ/8)	—	83	1	no	—
1024	AGL(1,ℤ/8)	—	83	2	no	—
1025	AGL(1,ℤ/8)	—	83	2	no	—
1026	AGL(1,ℤ/8)	—	83	2	no	—
1027	AGL(1,ℤ/8)	—	83	2	no	—
1028	AGL(1,ℤ/8)	—	83	2	no	—
1029	AGL(1,ℤ/8)	—	83	2	no	—
1030	AGL(1,ℤ/8)	—	83	2	no	—
1031	AGL(1,ℤ/8)	—	83	2	no	—
1032	AGL(1,ℤ/8)	—	83	2	no	—
1033	AGL(1,ℤ/8)	—	83	2	no	—
1034	AGL(1,ℤ/8)	—	166	2	no	—
1035	AGL(1,ℤ/8)	—	166	2	no	—
1036	AGL(1,ℤ/8)	—	166	2	no	—
1037	AGL(1,ℤ/8)	—	166	2	no	—
1038	AGL(1,ℤ/8)	—	166	2	no	—
1039	AGL(1,ℤ/8)	—	166	2	no	—
1040	AGL(1,ℤ/8)	—	166	2	no	—
1041	AGL(1,ℤ/8)	—	166	2	no	—
1042	AGL(1,ℤ/8)	—	166	2	no	—
1043	AGL(1,ℤ/8)	—	166	2	no	—
1044	AGL(1,ℤ/8)	—	166	2	no	—
1045	AGL(1,ℤ/8)	—	166	2	no	—
1046	AGL(1,ℤ/8)	—	166	2	no	—
1047	AGL(1,ℤ/8)	—	166	2	no	—
1048	AGL(1,ℤ/8)	—	166	2	no	—
1049	AGL(1,ℤ/8)	—	166	2	no	—
1050	AGL(1,ℤ/8)	—	166	2	no	—
1051	AGL(1,ℤ/8)	—	166	2	no	—
1052	AGL(1,ℤ/8)	—	166	2	no	—
1053	AGL(1,ℤ/8)	—	166	2	no	—
1054	AGL(1,ℤ/8)	—	166	2	no	—
1055	AGL(1,ℤ/8)	—	166	2	no	—
1056	AGL(1,ℤ/8)	—	166	2	no	—
1057	AGL(1,ℤ/8)	—	166	2	no	—
1058	AGL(1,ℤ/8)	—	166	2	no	—
1059	AGL(1,ℤ/8)	—	166	2	no	—
1060	AGL(1,ℤ/8)	—	166	2	no	—
1061	AGL(1,ℤ/8)	—	166	2	no	—
1062	AGL(1,ℤ/8)	—	166	2	no	—
1063	AGL(1,ℤ/8)	—	166	2	no	—
1064	AGL(1,ℤ/8)	—	166	2	no	—
1065	AGL(1,ℤ/8)	—	166	2	no	—
1066	AGL(1,ℤ/8)	C₂²×D₈₃	1	2	yes	—
1067	AGL(1,ℤ/8)	C₂²×D₈₃	1	2	yes	complemented
1068	#135	—	2	1	no	—
1069	#135	—	2	2	no	—
1070	#135	—	2	1	no	—
1071	#135	—	83	2	no	—
1072	#135	—	83	1	no	—
1073	#135	—	83	1	no	—
1074	#135	—	83	1	no	—
1075	#135	—	83	2	no	—
1076	#135	—	83	1	no	—
1077	#135	—	83	1	no	—
1078	#135	—	83	1	no	—
1079	#135	—	166	1	no	—
1080	#135	—	166	1	no	—
1081	#135	—	166	2	no	—
1082	#135	—	166	1	no	—
1083	#135	—	166	1	no	—
1084	#135	—	166	1	no	—
1085	#135	—	166	1	no	—
1086	#135	—	166	1	no	—
1087	#135	—	166	1	no	—
1088	#135	—	166	2	no	—
1089	#135	—	166	2	no	—
1090	#135	—	166	2	no	—
1091	#135	—	166	2	no	—
1092	#135	—	166	2	no	—
1093	#135	—	166	2	no	—
1094	#135	—	166	2	no	—
1095	#135	—	166	2	no	—
1096	#135	—	166	2	no	—
1097	#135	—	166	2	no	—
1098	#135	—	166	2	no	—
1099	#135	—	166	2	no	—
1100	#135	—	166	2	no	—
1101	#135	—	166	1	no	—
1102	#135	—	166	1	no	—
1103	#135	—	166	2	no	—
1104	#135	C₂²×D₈₃	1	1	yes	characteristic
1105	#135	C₂²×D₈₃	1	1	yes	characteristic
1106	C₂×Q₁₆	—	2	1	no	—
1107	C₂×Q₁₆	—	83	1	no	—
1108	C₂×Q₁₆	—	166	1	no	—
1109	C₂×Q₁₆	C₂²×D₈₃	1	1	yes	characteristic, complemented
1110	C₂×SD₁₆	—	2	2	no	—
1111	C₂×SD₁₆	—	83	2	no	—
1112	C₂×SD₁₆	—	83	2	no	—
1113	C₂×SD₁₆	—	83	2	no	—
1114	C₂×SD₁₆	—	166	2	no	—
1115	C₂×SD₁₆	—	166	2	no	—
1116	C₂×SD₁₆	—	166	2	no	—
1117	C₂×SD₁₆	—	166	2	no	—
1118	C₂×SD₁₆	—	166	2	no	—
1119	C₂×SD₁₆	—	166	2	no	—
1120	C₂×SD₁₆	—	166	2	no	—
1121	C₂×SD₁₆	C₂²×D₈₃	1	2	yes	complemented
1122	C₂×D₈	—	2	1	no	—
1123	C₂×D₈	—	83	1	no	—
1124	C₂×D₈	—	83	2	no	—
1125	C₂×D₈	—	83	2	no	—
1126	C₂×D₈	—	83	1	no	—
1127	C₂×D₈	—	83	1	no	—
1128	C₂×D₈	—	83	2	no	—
1129	C₂×D₈	—	166	1	no	—
1130	C₂×D₈	—	166	1	no	—
1131	C₂×D₈	—	166	2	no	—
1132	C₂×D₈	—	166	1	no	—
1133	C₂×D₈	—	166	1	no	—
1134	C₂×D₈	—	166	1	no	—
1135	C₂×D₈	—	166	1	no	—
1136	C₂×D₈	—	166	2	no	—
1137	C₂×D₈	—	166	1	no	—
1138	C₂×D₈	—	166	2	no	—
1139	C₂×D₈	—	166	2	no	—
1140	C₂×D₈	—	166	2	no	—
1141	C₂×D₈	—	166	2	no	—
1142	C₂×D₈	—	166	2	no	—
1143	C₂×D₈	—	166	1	no	—
1144	C₂×D₈	—	166	1	no	—
1145	C₂×D₈	—	166	2	no	—
1146	C₂×D₈	C₂²×D₈₃	1	1	yes	characteristic
1147	#131	—	83	1	no	—
1148	#131	—	83	1	no	—
1149	#131	—	83	2	no	—
1150	#131	—	83	1	no	—
1151	#131	—	83	1	no	—
1152	#131	—	83	2	no	—
1153	#131	—	83	1	no	—
1154	#131	—	83	1	no	—
1155	#131	—	83	2	no	—
1156	#131	—	166	1	no	—
1157	#131	—	166	1	no	—
1158	#131	—	166	2	no	—
1159	#131	—	166	1	no	—
1160	#131	—	166	1	no	—
1161	#131	—	166	2	no	—
1162	#131	C₂²×D₈₃	1	1	yes	characteristic
1163	#131	C₂²×D₈₃	1	1	yes	characteristic, complemented
1164	#131	C₂²×D₈₃	1	2	yes	complemented
1165	C₂×M₁₆	—	83	1	no	—
1166	C₂×M₁₆	—	83	1	no	—
1167	C₂×M₁₆	—	83	1	no	—
1168	C₂×M₁₆	—	83	2	no	—
1169	C₂×M₁₆	—	166	2	no	—
1170	C₂×M₁₆	—	166	1	no	—
1171	C₂×M₁₆	—	166	1	no	—
1172	C₂×M₁₆	—	166	2	no	—
1173	C₂²×C₈	—	83	1	no	—
1174	C₂²×C₈	—	166	1	no	—
1175	C₂²×C₈	—	166	1	no	—
1176	#127	—	83	2	no	—
1177	#127	—	83	2	no	—
1178	#124	—	83	2	no	—
1179	#124	C₂²×D₈₃	1	2	yes	complemented
1180	#121	—	332	2	no	—
1181	#120	—	332	2	no	—
1182	#117	—	83	1	no	—
1183	#108	—	83	2	no	—
1184	#108	—	83	1	no	—
1185	#108	—	83	1	no	—
1186	#108	—	83	1	no	—
1187	#108	—	83	1	no	—
1188	#108	C₂²×D₈₃	1	1	yes	characteristic, complemented
1189	#108	C₂²×D₈₃	1	1	yes	characteristic, complemented
1190	#104	—	83	1	no	—
1191	#104	—	83	2	no	—
1192	#104	—	83	1	no	—
1193	#104	—	83	1	no	—
1194	#104	—	83	2	no	—
1195	#104	—	83	1	no	—
1196	#104	—	83	1	no	—
1197	#104	—	83	2	no	—
1198	#104	—	83	1	no	—
1199	#104	C₂²×D₈₃	1	1	yes	characteristic
1200	#104	C₂²×D₈₃	1	1	yes	characteristic, complemented
1201	#104	C₂²×D₈₃	1	2	yes	complemented
1202	#101	—	83	2	no	—
1203	#101	C₂²×D₈₃	1	2	yes	complemented
1204	#100	—	83	2	no	—
1205	#100	—	83	2	no	—
1206	#100	—	83	2	no	—
1207	#100	—	83	2	no	—
1208	#100	—	83	2	no	—
1209	#100	C₂²×D₈₃	1	2	yes	complemented
1210	#97	—	83	1	no	—
1211	#97	—	83	1	no	—
1212	C₄×C₈	—	83	1	no	—
1213	C₄×C₈	C₂²×D₈₃	1	1	yes	characteristic, complemented
1214	C₂⁴	—	332	2	no	—
1215	C₂⁴	—	166	2	no	—
1216	#41	—	2	2	no	—
1217	#41	—	2	2	no	—
1218	#41	—	2	2	no	—
1219	#41	—	2	2	no	—
1220	#41	—	4	2	no	—
1221	#41	—	332	2	no	—
1222	#41	—	332	2	no	—
1223	#41	—	332	2	no	—
1224	#41	—	332	2	no	—
1225	#41	—	332	2	no	—
1226	#41	—	332	2	no	—
1227	#41	—	332	2	no	—
1228	#41	—	332	2	no	—
1229	#41	—	332	2	no	—
1230	#41	—	332	2	no	—
1231	#41	—	332	2	no	—
1232	#41	—	332	2	no	—
1233	#41	—	332	2	no	—
1234	#41	—	83	2	no	—
1235	#41	—	83	1	no	—
1236	#41	—	83	1	no	—
1237	#41	—	83	2	no	—
1238	#41	—	83	1	no	—
1239	#41	—	83	1	no	—
1240	#41	—	83	1	no	—
1241	#41	—	83	2	no	—
1242	#41	—	83	1	no	—
1243	#41	—	166	2	no	—
1244	#41	—	166	2	no	—
1245	#41	—	166	2	no	—
1246	#41	—	166	2	no	—
1247	#41	—	166	1	no	—
1248	#41	—	166	2	no	—
1249	#41	—	166	1	no	—
1250	#41	—	166	2	no	—
1251	#41	—	166	2	no	—
1252	#41	—	166	2	no	—
1253	#41	—	166	2	no	—
1254	#41	—	166	2	no	—
1255	#41	—	166	2	no	—
1256	#41	—	166	2	no	—
1257	#41	—	166	2	no	—
1258	#41	—	166	2	no	—
1259	#41	—	166	2	no	—
1260	#41	—	166	2	no	—
1261	#41	—	166	2	no	—
1262	#41	—	166	1	no	—
1263	#41	—	166	2	no	—
1264	#41	—	166	1	no	—
1265	#41	C₂³×D₈₃	1	1	yes	characteristic
1266	#41	C₂³×D₈₃	1	2	yes	—
1267	#41	C₂³×D₈₃	1	1	yes	characteristic
1268	C₂×Q₈	—	2	2	no	—
1269	C₂×Q₈	—	2	2	no	—
1270	C₂×Q₈	—	332	2	no	—
1271	C₂×Q₈	—	83	2	no	—
1272	C₂×Q₈	—	83	1	no	—
1273	C₂×Q₈	—	83	1	no	—
1274	C₂×Q₈	—	166	2	no	—
1275	C₂×Q₈	—	166	2	no	—
1276	C₂×Q₈	C₂³×D₈₃	1	2	yes	—
1277	C₂×D₄	—	2	2	no	—
1278	C₂×D₄	—	2	2	no	—
1279	C₂×D₄	—	4	2	no	—
1280	C₂×D₄	—	332	2	no	—
1281	C₂×D₄	—	332	2	no	—
1282	C₂×D₄	—	332	2	no	—
1283	C₂×D₄	—	332	2	no	—
1284	C₂×D₄	—	332	2	no	—
1285	C₂×D₄	—	332	2	no	—
1286	C₂×D₄	—	332	2	no	—
1287	C₂×D₄	—	332	2	no	—
1288	C₂×D₄	—	332	2	no	—
1289	C₂×D₄	—	332	2	no	—
1290	C₂×D₄	—	332	2	no	—
1291	C₂×D₄	—	332	2	no	—
1292	C₂×D₄	—	332	2	no	—
1293	C₂×D₄	—	332	2	no	—
1294	C₂×D₄	—	332	2	no	—
1295	C₂×D₄	—	332	2	no	—
1296	C₂×D₄	—	332	2	no	—
1297	C₂×D₄	—	332	2	no	—
1298	C₂×D₄	—	332	2	no	—
1299	C₂×D₄	—	332	2	no	—
1300	C₂×D₄	—	332	2	no	—
1301	C₂×D₄	—	332	2	no	—
1302	C₂×D₄	—	83	2	no	—
1303	C₂×D₄	—	83	1	no	—
1304	C₂×D₄	—	83	1	no	—
1305	C₂×D₄	—	83	2	no	—
1306	C₂×D₄	—	83	2	no	—
1307	C₂×D₄	—	166	2	no	—
1308	C₂×D₄	—	166	2	no	—
1309	C₂×D₄	—	166	2	no	—
1310	C₂×D₄	—	166	2	no	—
1311	C₂×D₄	—	166	2	no	—
1312	C₂×D₄	—	166	2	no	—
1313	C₂×D₄	—	166	2	no	—
1314	C₂×D₄	—	166	2	no	—
1315	C₂×D₄	—	166	2	no	—
1316	C₂×D₄	—	166	2	no	—
1317	C₂×D₄	—	166	2	no	—
1318	C₂×D₄	—	166	2	no	—
1319	C₂×D₄	—	166	1	no	—
1320	C₂×D₄	—	166	2	no	—
1321	C₂×D₄	—	166	1	no	—
1322	C₂×D₄	—	166	2	no	—
1323	C₂×D₄	—	166	2	no	—
1324	C₂×D₄	—	166	2	no	—
1325	C₂×D₄	—	166	2	no	—
1326	C₂×D₄	C₂³×D₈₃	1	2	yes	—
1327	C₂²×C₄	—	332	2	no	—
1328	C₂²×C₄	—	332	2	no	—
1329	C₂²×C₄	—	332	2	no	—
1330	C₂²×C₄	—	83	1	no	—
1331	C₂²×C₄	—	166	2	no	—
1332	C₂²×C₄	—	166	1	no	—
1333	C₂²×C₄	—	166	1	no	—
1334	C₂²×C₄	—	166	2	no	—
1335	Q₁₆	—	2	2	no	—
1336	Q₁₆	—	2	2	no	—
1337	Q₁₆	—	2	1	no	—
1338	Q₁₆	—	2	1	no	—
1339	Q₁₆	—	83	2	no	—
1340	Q₁₆	—	83	1	no	—
1341	Q₁₆	—	83	1	no	—
1342	Q₁₆	—	83	1	no	—
1343	Q₁₆	—	83	1	no	—
1344	Q₁₆	—	166	2	no	—
1345	Q₁₆	—	166	2	no	—
1346	Q₁₆	D₄×D₈₃	1	1	yes	characteristic
1347	Q₁₆	D₄×D₈₃	1	1	yes	characteristic
1348	SD₁₆	—	2	2	no	—
1349	SD₁₆	—	2	2	no	—
1350	SD₁₆	—	2	2	no	—
1351	SD₁₆	—	2	2	no	—
1352	SD₁₆	—	2	2	no	—
1353	SD₁₆	—	2	2	no	—
1354	SD₁₆	—	83	2	no	—
1355	SD₁₆	—	83	1	no	—
1356	SD₁₆	—	83	1	no	—
1357	SD₁₆	—	83	2	no	—
1358	SD₁₆	—	83	1	no	—
1359	SD₁₆	—	83	1	no	—
1360	SD₁₆	—	83	2	no	—
1361	SD₁₆	—	83	1	no	—
1362	SD₁₆	—	83	1	no	—
1363	SD₁₆	—	166	2	no	—
1364	SD₁₆	—	166	2	no	—
1365	SD₁₆	—	166	2	no	—
1366	SD₁₆	—	166	2	no	—
1367	SD₁₆	—	166	2	no	—
1368	SD₁₆	—	166	2	no	—
1369	SD₁₆	—	166	2	no	—
1370	SD₁₆	—	166	2	no	—
1371	SD₁₆	—	166	2	no	—
1372	SD₁₆	—	166	2	no	—
1373	SD₁₆	—	166	2	no	—
1374	SD₁₆	—	166	2	no	—
1375	SD₁₆	—	166	2	no	—
1376	SD₁₆	—	166	2	no	—
1377	SD₁₆	—	166	2	no	—
1378	SD₁₆	—	166	2	no	—
1379	SD₁₆	D₄×D₈₃	1	1	yes	characteristic
1380	SD₁₆	D₄×D₈₃	1	2	yes	—
1381	SD₁₆	D₄×D₈₃	1	1	yes	characteristic
1382	D₈	—	2	2	no	—
1383	D₈	—	2	2	no	—
1384	D₈	—	2	1	no	—
1385	D₈	—	2	1	no	—
1386	D₈	—	83	2	no	—
1387	D₈	—	83	1	no	—
1388	D₈	—	83	1	no	—
1389	D₈	—	83	1	no	—
1390	D₈	—	83	1	no	—
1391	D₈	—	166	2	no	—
1392	D₈	—	166	2	no	—
1393	D₈	—	166	2	no	—
1394	D₈	—	166	2	no	—
1395	D₈	—	166	2	no	—
1396	D₈	—	166	2	no	—
1397	D₈	—	166	2	no	—
1398	D₈	—	166	2	no	—
1399	D₈	—	166	2	no	—
1400	D₈	—	166	2	no	—
1401	D₈	—	166	2	no	—
1402	D₈	—	166	2	no	—
1403	D₈	—	166	2	no	—
1404	D₈	—	166	2	no	—
1405	D₈	—	166	1	no	—
1406	D₈	—	166	1	no	—
1407	D₈	—	166	1	no	—
1408	D₈	—	166	2	no	—
1409	D₈	—	166	2	no	—
1410	D₈	—	166	1	no	—
1411	D₈	D₄×D₈₃	1	1	yes	characteristic
1412	D₈	D₄×D₈₃	1	1	yes	characteristic
1413	M₁₆	—	2	1	no	—
1414	M₁₆	—	2	2	no	—
1415	M₁₆	—	2	1	no	—
1416	M₁₆	—	83	1	no	—
1417	M₁₆	—	83	1	no	—
1418	M₁₆	—	83	1	no	—
1419	M₁₆	—	83	1	no	—
1420	M₁₆	—	83	1	no	—
1421	M₁₆	—	83	2	no	—
1422	M₁₆	—	83	1	no	—
1423	M₁₆	—	166	1	no	—
1424	M₁₆	—	166	2	no	—
1425	M₁₆	—	166	1	no	—
1426	M₁₆	—	166	2	no	—
1427	M₁₆	—	166	1	no	—
1428	M₁₆	—	166	1	no	—
1429	M₁₆	—	166	1	no	—
1430	M₁₆	—	166	2	no	—
1431	M₁₆	—	166	1	no	—
1432	M₁₆	—	166	1	no	—
1433	M₁₆	—	166	2	no	—
1434	M₁₆	—	166	1	no	—
1435	M₁₆	C₂³×D₈₃	1	1	yes	characteristic
1436	M₁₆	C₂³×D₈₃	1	2	yes	—
1437	M₁₆	C₂³×D₈₃	1	1	yes	characteristic
1438	C₂×C₈	—	2	1	no	—
1439	C₂×C₈	—	2	1	no	—
1440	C₂×C₈	—	2	2	no	—
1441	C₂×C₈	—	83	1	no	—
1442	C₂×C₈	—	83	1	no	—
1443	C₂×C₈	—	83	1	no	—
1444	C₂×C₈	—	83	1	no	—
1445	C₂×C₈	—	83	1	no	—
1446	C₂×C₈	—	83	1	no	—
1447	C₂×C₈	—	166	1	no	—
1448	C₂×C₈	—	166	1	no	—
1449	C₂×C₈	—	166	2	no	—
1450	C₂×C₈	—	166	1	no	—
1451	C₂×C₈	—	166	1	no	—
1452	C₂×C₈	—	166	2	no	—
1453	C₂×C₈	—	166	1	no	—
1454	C₂×C₈	—	166	1	no	—
1455	C₂×C₈	—	166	2	no	—
1456	C₂×C₈	—	166	1	no	—
1457	C₂×C₈	—	166	1	no	—
1458	C₂×C₈	—	166	2	no	—
1459	C₂×C₈	C₂³×D₈₃	1	1	yes	characteristic
1460	C₂×C₈	C₂³×D₈₃	1	1	yes	characteristic
1461	C₄⋊C₄	—	166	1	no	—
1462	C₂²⋊C₄	—	4	2	no	—
1463	C₂²⋊C₄	—	332	2	no	—
1464	C₂²⋊C₄	—	166	1	no	—
1465	C₄²	—	83	1	no	—
1466	C₄²	C₂³×D₈₃	1	1	yes	characteristic
1467	C₂³	—	2	2	no	—
1468	C₂³	—	4	2	no	—
1469	C₂³	—	1328	2	no	—
1470	C₂³	—	1328	4	no	—
1471	C₂³	—	332	2	no	—
1472	C₂³	—	332	2	no	—
1473	C₂³	—	332	2	no	—
1474	C₂³	—	332	2	no	—
1475	C₂³	—	332	2	no	—
1476	C₂³	—	332	2	no	—
1477	C₂³	—	332	2	no	—
1478	C₂³	—	83	1	no	—
1479	C₂³	—	166	1	no	—
1480	C₂³	—	166	1	no	—
1481	C₂³	—	166	2	no	—
1482	C₂³	—	166	2	no	—
1483	C₂³	—	166	2	no	—
1484	Q₈	—	2	2	no	—
1485	Q₈	—	2	2	no	—
1486	Q₈	—	4	2	no	—
1487	Q₈	—	332	2	no	—
1488	Q₈	—	83	1	no	—
1489	Q₈	—	83	2	no	—
1490	Q₈	—	83	1	no	—
1491	Q₈	—	166	1	no	—
1492	Q₈	—	166	2	no	—
1493	Q₈	—	166	1	no	—
1494	Q₈	C₂×D₄×D₈₃	1	1	yes	characteristic
1495	Q₈	C₂×D₄×D₈₃	1	2	yes	—
1496	Q₈	C₂×D₄×D₈₃	1	1	yes	characteristic
1497	D₄	—	2	1	no	—
1498	D₄	—	2	2	no	—
1499	D₄	—	2	1	no	—
1500	D₄	—	2	2	no	—
1501	D₄	—	2	2	no	—
1502	D₄	—	4	2	no	—
1503	D₄	—	4	2	no	—
1504	D₄	—	4	2	no	—
1505	D₄	—	1328	2	no	—
1506	D₄	—	1328	2	no	—
1507	D₄	—	332	2	no	—
1508	D₄	—	332	2	no	—
1509	D₄	—	332	2	no	—
1510	D₄	—	332	2	no	—
1511	D₄	—	332	2	no	—
1512	D₄	—	332	2	no	—
1513	D₄	—	332	2	no	—
1514	D₄	—	332	2	no	—
1515	D₄	—	332	2	no	—
1516	D₄	—	332	2	no	—
1517	D₄	—	332	2	no	—
1518	D₄	—	332	2	no	—
1519	D₄	—	332	2	no	—
1520	D₄	—	332	2	no	—
1521	D₄	—	332	2	no	—
1522	D₄	—	83	1	no	—
1523	D₄	—	83	2	no	—
1524	D₄	—	83	1	no	—
1525	D₄	—	166	1	no	—
1526	D₄	—	166	2	no	—
1527	D₄	—	166	1	no	—
1528	D₄	—	166	1	no	—
1529	D₄	—	166	2	no	—
1530	D₄	—	166	1	no	—
1531	D₄	—	166	1	no	—
1532	D₄	—	166	2	no	—
1533	D₄	—	166	1	no	—
1534	D₄	—	166	1	no	—
1535	D₄	—	166	2	no	—
1536	D₄	—	166	1	no	—
1537	D₄	—	166	2	no	—
1538	D₄	—	166	2	no	—
1539	D₄	—	166	2	no	—
1540	D₄	—	166	2	no	—
1541	D₄	C₂×D₄×D₈₃	1	1	yes	characteristic
1542	D₄	C₂×D₄×D₈₃	1	2	yes	—
1543	D₄	C₂×D₄×D₈₃	1	1	yes	characteristic
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	2	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	2	no	—
1549	C₂×C₄	—	4	2	no	—
1550	C₂×C₄	—	4	2	no	—
1551	C₂×C₄	—	4	2	no	—
1552	C₂×C₄	—	332	2	no	—
1553	C₂×C₄	—	332	2	no	—
1554	C₂×C₄	—	332	2	no	—
1555	C₂×C₄	—	332	2	no	—
1556	C₂×C₄	—	332	2	no	—
1557	C₂×C₄	—	332	2	no	—
1558	C₂×C₄	—	332	2	no	—
1559	C₂×C₄	—	332	2	no	—
1560	C₂×C₄	—	332	2	no	—
1561	C₂×C₄	—	83	1	no	—
1562	C₂×C₄	—	83	1	no	—
1563	C₂×C₄	—	83	1	no	—
1564	C₂×C₄	—	83	1	no	—
1565	C₂×C₄	—	83	1	no	—
1566	C₂×C₄	—	166	1	no	—
1567	C₂×C₄	—	166	2	no	—
1568	C₂×C₄	—	166	1	no	—
1569	C₂×C₄	—	166	1	no	—
1570	C₂×C₄	—	166	2	no	—
1571	C₂×C₄	—	166	1	no	—
1572	C₂×C₄	—	166	1	no	—
1573	C₂×C₄	—	166	1	no	—
1574	C₂×C₄	—	166	2	no	—
1575	C₂×C₄	—	166	1	no	—
1576	C₂×C₄	—	166	1	no	—
1577	C₂×C₄	—	166	2	no	—
1578	C₂×C₄	—	166	1	no	—
1579	C₂×C₄	C₂⁴×D₈₃	1	1	yes	characteristic
1580	C₈	—	2	1	no	—
1581	C₈	—	2	2	no	—
1582	C₈	—	2	1	no	—
1583	C₈	—	83	1	no	—
1584	C₈	—	83	1	no	—
1585	C₈	—	83	1	no	—
1586	C₈	—	83	1	no	—
1587	C₈	—	166	1	no	—
1588	C₈	—	166	2	no	—
1589	C₈	—	166	1	no	—
1590	C₈	C₂×D₄×D₈₃	1	1	yes	characteristic
1591	C₈	C₂×D₄×D₈₃	1	1	yes	characteristic
1592	C₈	C₂×D₄×D₈₃	1	1	yes	characteristic
1593	C₈	C₂×D₄×D₈₃	1	1	yes	characteristic
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	2	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	4	2	no	—
1598	C₂²	—	8	2	no	—
1599	C₂²	—	16	2	no	—
1600	C₂²	—	1328	2	no	—
1601	C₂²	—	1328	2	no	—
1602	C₂²	—	1328	2	no	—
1603	C₂²	—	1328	2	no	—
1604	C₂²	—	1328	2	no	—
1605	C₂²	—	1328	2	no	—
1606	C₂²	—	332	1	no	—
1607	C₂²	—	332	2	no	—
1608	C₂²	—	332	2	no	—
1609	C₂²	—	332	2	no	—
1610	C₂²	—	83	1	no	—
1611	C₂²	—	83	1	no	—
1612	C₂²	—	664	2	no	—
1613	C₂²	—	664	2	no	—
1614	C₂²	—	664	2	no	—
1615	C₂²	—	664	1	no	—
1616	C₂²	—	664	4	no	—
1617	C₂²	—	166	1	no	—
1618	C₂²	—	166	2	no	—
1619	C₂²	—	166	1	no	—
1620	C₂²	H(5,𝔽₂)×D₈₃	1	1	yes	characteristic
1621	C₄	—	2	1	no	—
1622	C₄	—	2	2	no	—
1623	C₄	—	2	1	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	4	2	no	—
1626	C₄	—	332	1	no	—
1627	C₄	—	83	1	no	—
1628	C₄	—	83	1	no	—
1629	C₄	—	166	1	no	—
1630	C₄	—	166	2	no	—
1631	C₄	—	166	1	no	—
1632	C₄	C₂²×D₄×D₈₃	1	1	yes	characteristic
1633	C₄	C₂²×D₄×D₈₃	1	1	yes	characteristic
1634	C₂	—	2	1	no	—
1635	C₂	—	4	1	no	—
1636	C₂	—	4	2	no	—
1637	C₂	—	4	1	no	—
1638	C₂	—	8	2	no	—
1639	C₂	—	332	1	no	—
1640	C₂	—	332	2	no	—
1641	C₂	—	332	1	no	—
1642	C₂	—	664	2	no	—
1643	C₂	—	664	2	no	—
1644	C₂	—	166	1	no	—
1645	C₂	—	166	1	no	—
1646	C₂	D₄²×D₈₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂	D₄²×D₈₃
commutator, cosocle	C₂×C₄×C₈₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₈₃
Fitting	C₈₃×#3290	C₂
socle	C₂×C₈₃	C₂×D₄²
hypercenter	#3290	D₈₃
hypocenter	C₈₃	#61106
LCS	G ▷ C₂×C₄×C₈₃ ▷ C₂×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #3290

Complements

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

N	H ≅ G/N	type
1. #24922241	C₂	semidirect
2. #24922233	C₂	semidirect
3. #576×D₈₃	C₂	semidirect
4. #24919263	C₂	semidirect
5. #24919263	C₂	semidirect
6. #24919261	C₂	semidirect
7. #24919260	C₂	semidirect
8. #24919252	C₂	semidirect
9. #24919249	C₂	semidirect
10. #24919248	C₂	semidirect
11. #24919232	C₂	semidirect
12. #24919231	C₂	semidirect
13. #24919228	C₂	semidirect
14. #24919225	C₂	semidirect
15. #24917945	C₂	semidirect
16. #24917186	C₂	semidirect
17. #24917185	C₂	semidirect
18. #472×D₈₃	C₂	semidirect
19. #24916833	C₂	semidirect
20. #24916821	C₂	semidirect
21. #24916375	C₂	semidirect
22. #24916361	C₂	semidirect
23. C₈₃×#3290	C₂	semidirect
24. #19128538	C₂²	semidirect
25. H(5,𝔽₂)×D₈₃	C₂²	semidirect
27. #19128514	C₂²	semidirect
30. #19128510	C₂²	semidirect
31. #19128510	C₂²	semidirect
32. #19128509	C₂²	semidirect
33. #19128509	C₂²	semidirect
35. #19128507	C₂²	semidirect
36. #19128506	C₂²	semidirect
37. #19128506	C₂²	semidirect
38. #19128506	C₂²	semidirect
41. #19128505	C₂²	semidirect
42. #19128505	C₂²	semidirect
43. #19128504	C₂²	semidirect
44. #19128504	C₂²	semidirect
48. #19128503	C₂²	semidirect
49. #19128503	C₂²	semidirect
50. #19128503	C₂²	semidirect
52. #19128502	C₂²	semidirect
55. #19128500	C₂²	semidirect
56. #19128500	C₂²	semidirect
60. C₂×#14581819	C₂²	semidirect
63. AGL(1,ℤ/8)×D₈₃	C₂²	semidirect
64. AGL(1,ℤ/8)×D₈₃	C₂²	semidirect
66. C₂×#14581815	C₂²	semidirect
71. C₂×D₈×D₈₃	C₂²	semidirect
72. #19128466	C₂²	semidirect
73. #131×D₈₃	C₂²	semidirect
74. #131×D₈₃	C₂²	semidirect
75. #19128269	C₂²	semidirect
76. #19128091	C₂²	semidirect
77. #19128087	C₂²	semidirect
78. #19128086	C₂²	semidirect
79. #19128078	C₂²	semidirect
80. #19128076	C₂²	semidirect
81. #19127973	C₂²	semidirect
82. #19127972	C₂²	semidirect
83. #19127972	C₂²	semidirect
84. #19127972	C₂²	semidirect
85. #19127971	C₂²	semidirect
86. #19127971	C₂²	semidirect
87. #19127971	C₂²	semidirect
88. #19127970	C₂²	semidirect
89. #19127970	C₂²	semidirect
90. #19127969	C₂²	semidirect
91. #19127969	C₂²	semidirect
92. #19127968	C₂²	semidirect
93. #19127967	C₂²	semidirect
94. #19127967	C₂²	semidirect
95. #19127966	C₂²	semidirect
96. #19127966	C₂²	semidirect
97. #19127961	C₂²	semidirect
98. #19127878	C₂²	semidirect
99. #19127877	C₂²	semidirect
100. #19127877	C₂²	semidirect
101. #19127876	C₂²	semidirect
102. #19127874	C₂²	semidirect
103. #19127873	C₂²	semidirect
104. #19127871	C₂²	semidirect
105. #19127870	C₂²	semidirect
106. #19127870	C₂²	semidirect
107. #19127870	C₂²	semidirect
108. #19127870	C₂²	semidirect
109. #19127869	C₂²	semidirect
110. #19127867	C₂²	semidirect
111. #19127867	C₂²	semidirect
112. #19127823	C₂²	semidirect
113. #19127822	C₂²	semidirect
114. #19127821	C₂²	semidirect
115. #19127820	C₂²	semidirect
116. #19127820	C₂²	semidirect
117. #19127820	C₂²	semidirect
118. #19127819	C₂²	semidirect
119. #19127819	C₂²	semidirect
120. #19127818	C₂²	semidirect
121. #19127817	C₂²	semidirect
122. #19127816	C₂²	semidirect
123. #19127816	C₂²	semidirect
124. #19127748	C₂²	semidirect
125. #108×D₈₃	C₂²	semidirect
126. #19127716	C₂²	semidirect
127. #19127716	C₂²	semidirect
128. #19127716	C₂²	semidirect
129. #19127684	C₂²	semidirect
130. #100×D₈₃	C₂²	semidirect
131. #19127655	C₂²	semidirect
132. #578×C₈₃	C₂²	semidirect
133. #577×C₈₃	C₂²	semidirect
134. #576×C₈₃	C₂²	semidirect
135. #495×C₈₃	C₂²	semidirect
136. #473×C₈₃	C₂²	semidirect
137. #472×C₈₃	C₂²	semidirect
138. #471×C₈₃	C₂²	semidirect
139. #455×C₈₃	C₂²	semidirect
140. #454×C₈₃	C₂²	semidirect
141. #443×C₈₃	C₂²	semidirect
142. #443×C₈₃	C₂²	semidirect
145. #14581840	C₂³	semidirect
153. #14581838	C₂³	semidirect
154. #14581838	C₂³	semidirect
179. #14581824	D₄	semidirect
180. #14581824	D₄	semidirect
184. #14581823	C₂³	semidirect
186. #14581821	D₄	semidirect
187. #14581821	D₄	semidirect
194. #14581820	C₂³	semidirect
195. #14581820	C₂³	semidirect
213. #14581819	D₄	semidirect
214. #14581819	D₄	semidirect
218. #14581818	C₂³	semidirect
225. #14581817	C₂³	semidirect
226. #14581817	C₂³	semidirect
232. #14581816	D₄	semidirect
233. #14581816	D₄	semidirect
246. #14581815	D₄	semidirect
257. #14581813	D₄	semidirect
266. #14581811	D₄	semidirect
268. Q₁₆×D₈₃	D₄	semidirect
271. C₂×#13050577	C₂³	semidirect
272. C₂×#13050577	C₂³	semidirect
278. SD₁₆×D₈₃	D₄	semidirect
283. C₂×D₆₆₄	C₂³	semidirect
284. C₂×D₆₆₄	C₂³	semidirect
288. C₂×#13050575	C₂³	semidirect
301. D₈×D₈₃	D₄	semidirect
306. #14581800	C₂³	semidirect
307. #14581800	C₂³	semidirect
309. #14581799	C₂³	semidirect
310. #14581799	C₂³	semidirect
315. #14581798	C₂³	semidirect
316. #14581798	C₂³	semidirect
328. #14581789	C₂³	semidirect
329. #14581788	C₂³	semidirect
330. #14581781	C₂³	semidirect
334. #14581728	C₂³	semidirect
335. #14581728	C₂³	semidirect
336. #14581727	C₂³	semidirect
337. #14581727	C₂³	semidirect
338. #14581727	C₂³	semidirect
340. #14581720	C₂³	semidirect
341. #14581720	C₂³	semidirect
343. #14581719	C₂³	semidirect
344. #14581719	C₂³	semidirect
346. #14581718	C₂³	semidirect
347. #14581718	C₂³	semidirect
348. #14581711	C₂³	semidirect
349. #14581709	C₂³	semidirect
350. #14581708	C₂³	semidirect
351. #14581708	C₂³	semidirect
352. #14581708	C₂³	semidirect
353. #14581708	C₂³	semidirect
354. #14581703	C₂³	semidirect
355. #14581702	C₂³	semidirect
356. C₈×Dic₈₃	C₂³	semidirect
357. 2₋¹⁺⁴×C₈₃	C₂³	semidirect
362. #137×C₈₃	C₂³	semidirect
366. AGL(1,ℤ/8)×C₈₃	C₂³	semidirect
373. C₂×Q₁₆×C₈₃	C₂³	semidirect
375. C₂×SD₁₆×C₈₃	C₂³	semidirect
379. #131×C₈₃	C₂³	semidirect
380. #131×C₈₃	C₂³	semidirect
381. #124×C₈₃	C₂³	semidirect
382. #108×C₈₃	C₂³	semidirect
383. #108×C₈₃	C₂³	semidirect
385. #104×C₈₃	C₂³	semidirect
386. #104×C₈₃	C₂³	semidirect
387. #101×C₈₃	C₂³	semidirect
388. #100×C₈₃	C₂³	semidirect
389. C₄×C₈×C₈₃	C₂³	semidirect
834. #3290	D₈₃	semidirect
847. C₈₃	#61106	semidirect
852. #578	C₂×D₈₃	semidirect
861. #577	C₂×D₈₃	semidirect
879. #576	C₂×D₈₃	semidirect
906. #495	C₂×D₈₃	semidirect
910. #473	C₂×D₈₃	semidirect
922. #472	C₂×D₈₃	semidirect
928. #471	C₂×D₈₃	semidirect
932. #455	C₂×D₈₃	semidirect
936. #454	C₂×D₈₃	semidirect
957. #443	C₂×D₈₃	semidirect
958. #443	C₂×D₈₃	semidirect
970. 2₋¹⁺⁴	C₂²×D₈₃	semidirect
1017. #137	C₂²×D₈₃	semidirect
1067. AGL(1,ℤ/8)	C₂²×D₈₃	semidirect
1109. C₂×Q₁₆	C₂²×D₈₃	semidirect
1121. C₂×SD₁₆	C₂²×D₈₃	semidirect
1163. #131	C₂²×D₈₃	semidirect
1164. #131	C₂²×D₈₃	semidirect
1179. #124	C₂²×D₈₃	semidirect
1188. #108	C₂²×D₈₃	semidirect
1189. #108	C₂²×D₈₃	semidirect
1200. #104	C₂²×D₈₃	semidirect
1201. #104	C₂²×D₈₃	semidirect
1203. #101	C₂²×D₈₃	semidirect
1209. #100	C₂²×D₈₃	semidirect
1213. C₄×C₈	C₂²×D₈₃	semidirect

Maximal subgroups

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

subgroup	index
#24922241	2
#24922233	2
#576×D₈₃	2
#24919263	2
#24919261	2
#24919260	2
#24919252	2
#24919249	2
#24919248	2
#24919232	2
#24919231	2
#24919228	2
#24919225	2
#24917945	2
#24917186	2
#24917185	2
#472×D₈₃	2
#24916833	2
#24916821	2
#24916375	2
#24916361	2
C₈₃×#3290	2
#61106	83