Subgroups — #36279869

Order 21248.

2890 conjugacy classes of subgroups.

The subgroup lattice has 2132 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19128505	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×AGL(1,ℤ/8)×D₈₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#24921100	C₂	1	1	yes	maximal, characteristic, complemented
4	#24921093	C₂	1	1	yes	maximal, characteristic, complemented
5	#24919072	C₂	1	1	yes	maximal, characteristic, complemented
6	#24919071	C₂	1	1	yes	maximal, characteristic, complemented
7	#24919068	C₂	1	1	yes	maximal, characteristic, complemented
8	#24919065	C₂	1	1	yes	maximal, characteristic, complemented
9	#24919064	C₂	1	1	yes	maximal, characteristic, complemented
10	#24919060	C₂	1	1	yes	maximal, characteristic, complemented
11	#24919057	C₂	1	1	yes	maximal, characteristic, complemented
12	#24918992	C₂	1	1	yes	maximal, characteristic, complemented
13	#24918991	C₂	1	1	yes	maximal, characteristic, complemented
14	#24918984	C₂	1	1	yes	maximal, characteristic, complemented
15	#24918983	C₂	1	1	yes	maximal, characteristic, complemented
16	#24918949	C₂	1	1	yes	maximal, characteristic, complemented
17	#24918944	C₂	1	1	yes	maximal, characteristic, complemented
18	#24918941	C₂	1	1	yes	maximal, characteristic, complemented
19	#24918936	C₂	1	1	yes	maximal, characteristic, complemented
20	#24917934	C₂	1	1	yes	maximal, characteristic, complemented
21	#24917100	C₂	1	1	yes	maximal, characteristic, complemented
22	#24917067	C₂	1	1	yes	maximal, characteristic, complemented
23	#24916973	C₂	1	1	yes	maximal, characteristic, complemented
24	#24916964	C₂	1	1	yes	maximal, characteristic, complemented
25	#24916737	C₂	1	1	yes	maximal, characteristic, complemented
26	#24916726	C₂	1	1	yes	maximal, characteristic, complemented
27	#24916706	C₂	1	1	yes	maximal, characteristic, complemented
28	#24916687	C₂	1	1	yes	maximal, characteristic, complemented
29	#24916310	C₂	1	1	yes	maximal, characteristic, complemented
30	#24916163	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₃×#3273	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14581838	C₂²	1	1	yes	characteristic
33	C₂×#14581837	C₂²	1	1	yes	characteristic, complemented
34	C₂×#41×D₈₃	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₄×D₈₃	C₂²	1	1	yes	characteristic, complemented
36	#19128505	—	2	8	no	—
37	C₂×#14581824	C₂²	1	1	yes	characteristic, complemented
38	C₂×#14581820	C₂²	1	1	yes	characteristic, complemented
39	C₂×#14581820	C₂²	1	1	yes	characteristic, complemented
40	C₂×#14581819	C₂²	1	1	yes	characteristic, complemented
41	C₂×#14581819	C₂²	1	1	yes	characteristic, complemented
42	C₂×#14581819	C₂²	1	1	yes	characteristic, complemented
43	C₂×#14581819	C₂²	1	1	yes	characteristic, complemented
44	C₂×#14581818	C₂²	1	1	yes	characteristic, complemented
45	C₂×#14581817	C₂²	1	1	yes	characteristic, complemented
46	C₂×#14581816	C₂²	1	1	yes	characteristic
47	C₂×#14581816	C₂²	1	1	yes	characteristic, complemented
48	C₂×#14581816	C₂²	1	1	yes	characteristic, complemented
49	C₂×#14581816	C₂²	1	1	yes	characteristic, complemented
50	C₂×#14581816	C₂²	1	1	yes	characteristic, complemented
51	AGL(1,ℤ/8)×D₈₃	—	2	8	no	—
52	C₂×#14581813	C₂²	1	1	yes	characteristic, complemented
53	C₂×#14581813	C₂²	1	1	yes	characteristic, complemented
54	C₂×#14581812	C₂²	1	1	yes	characteristic, complemented
55	C₂×SD₁₆×D₈₃	C₂²	1	1	yes	characteristic, complemented
56	C₂×SD₁₆×D₈₃	C₂²	1	1	yes	characteristic, complemented
57	C₂²×#13050575	C₂²	1	1	yes	characteristic, complemented
58	C₂×D₈×D₈₃	C₂²	1	1	yes	characteristic
59	C₂×D₈×D₈₃	C₂²	1	1	yes	characteristic, complemented
60	C₂×D₈×D₈₃	C₂²	1	1	yes	characteristic, complemented
61	C₂×#14581800	C₂²	1	1	yes	characteristic, complemented
62	C₂×M₁₆×D₈₃	C₂²	1	1	yes	characteristic, complemented
63	#19128356	C₂²	1	1	yes	characteristic, complemented
64	#19128355	C₂²	1	1	yes	characteristic, complemented
65	#19128353	C₂²	1	1	yes	characteristic, complemented
66	#19128351	—	2	1	no	—
67	#19128350	C₂²	1	1	yes	characteristic, complemented
68	#19128349	—	2	1	no	—
69	#19128348	C₂²	1	1	yes	characteristic, complemented
70	#19128345	C₂²	1	1	yes	characteristic, complemented
71	#19128344	C₂²	1	1	yes	characteristic, complemented
72	#19128344	C₂²	1	1	yes	characteristic, complemented
73	#19128343	—	2	1	no	—
74	#19128342	C₂²	1	1	yes	characteristic, complemented
75	#19128341	—	2	1	no	—
76	#19128341	—	2	1	no	—
77	#19128339	C₂²	1	1	yes	characteristic, complemented
78	#19128338	—	2	1	no	—
79	D₄×D₃₃₂	C₂²	1	1	yes	characteristic, complemented
80	D₄×D₃₃₂	C₂²	1	1	yes	characteristic, complemented
81	#19128335	—	2	1	no	—
82	#19128335	C₂²	1	1	yes	characteristic, complemented
83	D₄×C₂²⋊D₈₃	C₂²	1	1	yes	characteristic, complemented
84	#19128333	—	2	1	no	—
85	#19128274	C₂²	1	1	yes	characteristic, complemented
86	#19128271	C₂²	1	1	yes	characteristic, complemented
87	#19128269	C₂²	1	1	yes	characteristic, complemented
88	#19128267	C₂²	1	1	yes	characteristic
89	#19128262	—	2	1	no	—
90	#19128261	—	2	1	no	—
91	#19128259	—	2	1	no	—
92	#19128259	—	2	1	no	—
93	#19128214	C₂²	1	1	yes	characteristic, complemented
94	#19128211	C₂²	1	1	yes	characteristic, complemented
95	#19128210	C₂²	1	1	yes	characteristic
96	C₂×#14581774	—	2	1	no	—
97	#123×D₈₃	—	2	1	no	—
98	C₂×#14581762	—	2	1	no	—
99	#120×D₈₃	—	2	1	no	—
100	#19128173	C₂²	1	1	yes	characteristic, complemented
101	#19128173	C₂²	1	1	yes	characteristic, complemented
102	#19128096	C₂²	1	1	yes	characteristic, complemented
103	#19128094	C₂²	1	1	yes	characteristic, complemented
104	#19128091	C₂²	1	1	yes	characteristic, complemented
105	#19128089	C₂²	1	1	yes	characteristic, complemented
106	#19128082	C₂²	1	1	yes	characteristic, complemented
107	#19128074	C₂²	1	1	yes	characteristic, complemented
108	#19128072	C₂²	1	1	yes	characteristic, complemented
109	#19127958	C₂²	1	1	yes	characteristic, complemented
110	#19127957	C₂²	1	1	yes	characteristic, complemented
111	#19127953	C₂²	1	1	yes	characteristic, complemented
112	#19127952	C₂²	1	1	yes	characteristic, complemented
113	#19127948	C₂²	1	1	yes	characteristic, complemented
114	#19127948	C₂²	1	1	yes	characteristic, complemented
115	#19127947	C₂²	1	1	yes	characteristic, complemented
116	#19127947	C₂²	1	1	yes	characteristic, complemented
117	#19127944	C₂²	1	1	yes	characteristic, complemented
118	#19127944	C₂²	1	1	yes	characteristic, complemented
119	#19127933	C₂²	1	1	yes	characteristic, complemented
120	#19127932	C₂²	1	1	yes	characteristic, complemented
121	#19127929	C₂²	1	1	yes	characteristic, complemented
122	#19127928	C₂²	1	1	yes	characteristic, complemented
123	#19127919	C₂²	1	1	yes	characteristic, complemented
124	#19127918	C₂²	1	1	yes	characteristic, complemented
125	#19127915	C₂²	1	1	yes	characteristic, complemented
126	#19127914	C₂²	1	1	yes	characteristic, complemented
127	#19127913	C₂²	1	1	yes	characteristic, complemented
128	#19127913	C₂²	1	1	yes	characteristic, complemented
129	#19127907	C₂²	1	1	yes	characteristic, complemented
130	#19127906	C₂²	1	1	yes	characteristic, complemented
131	#19127905	C₂²	1	1	yes	characteristic, complemented
132	#19127904	C₂²	1	1	yes	characteristic, complemented
133	#19127897	C₂²	1	1	yes	characteristic, complemented
134	#19127896	C₂²	1	1	yes	characteristic, complemented
135	#19127895	C₂²	1	1	yes	characteristic, complemented
136	#19127894	C₂²	1	1	yes	characteristic, complemented
137	#19127866	C₂²	1	1	yes	characteristic, complemented
138	#19127863	C₂²	1	1	yes	characteristic, complemented
139	#19127862	C₂²	1	1	yes	characteristic, complemented
140	#19127862	C₂²	1	1	yes	characteristic, complemented
141	#19127861	C₂²	1	1	yes	characteristic, complemented
142	#19127860	C₂²	1	1	yes	characteristic, complemented
143	#19127854	C₂²	1	1	yes	characteristic, complemented
144	#19127854	C₂²	1	1	yes	characteristic, complemented
145	#19127853	C₂²	1	1	yes	characteristic, complemented
146	#19127853	C₂²	1	1	yes	characteristic, complemented
147	#19127853	C₂²	1	1	yes	characteristic, complemented
148	#19127852	C₂²	1	1	yes	characteristic, complemented
149	#19127851	C₂²	1	1	yes	characteristic, complemented
150	#19127850	C₂²	1	1	yes	characteristic, complemented
151	#19127849	C₂²	1	1	yes	characteristic, complemented
152	#19127848	C₂²	1	1	yes	characteristic, complemented
153	#19127848	C₂²	1	1	yes	characteristic, complemented
154	#19127847	C₂²	1	1	yes	characteristic, complemented
155	#19127847	C₂²	1	1	yes	characteristic, complemented
156	#19127846	C₂²	1	1	yes	characteristic, complemented
157	#19127844	C₂²	1	1	yes	characteristic, complemented
158	#19127843	C₂²	1	1	yes	characteristic, complemented
159	#19127836	C₂²	1	1	yes	characteristic, complemented
160	#19127835	C₂²	1	1	yes	characteristic, complemented
161	#19127834	C₂²	1	1	yes	characteristic, complemented
162	#19127833	C₂²	1	1	yes	characteristic, complemented
163	#19127833	C₂²	1	1	yes	characteristic, complemented
164	#19127833	C₂²	1	1	yes	characteristic, complemented
165	#19127811	C₂²	1	1	yes	characteristic, complemented
166	#19127811	C₂²	1	1	yes	characteristic, complemented
167	#19127810	C₂²	1	1	yes	characteristic, complemented
168	#19127810	C₂²	1	1	yes	characteristic, complemented
169	C₄×D₆₆₄	C₂²	1	1	yes	characteristic, complemented
170	D₈×Dic₈₃	C₂²	1	1	yes	characteristic, complemented
171	#19127783	C₂²	1	1	yes	characteristic, complemented
172	#19127780	C₂²	1	1	yes	characteristic, complemented
173	#19127777	C₂²	1	1	yes	characteristic, complemented
174	#19127777	C₂²	1	1	yes	characteristic, complemented
175	#19127775	C₂²	1	1	yes	characteristic, complemented
176	#19127773	C₂²	1	1	yes	characteristic, complemented
177	#19127771	C₂²	1	1	yes	characteristic, complemented
178	#19127769	C₂²	1	1	yes	characteristic, complemented
179	#19127738	C₂²	1	1	yes	characteristic, complemented
180	#19127726	C₂²	1	1	yes	characteristic, complemented
181	#19127708	C₂²	1	1	yes	characteristic, complemented
182	#19127704	C₂²	1	1	yes	characteristic, complemented
183	#19127704	C₂²	1	1	yes	characteristic, complemented
184	#19127704	C₂²	1	1	yes	characteristic, complemented
185	#19127696	C₂²	1	1	yes	characteristic, complemented
186	#19127694	C₂²	1	1	yes	characteristic, complemented
187	#19127666	C₂²	1	1	yes	characteristic, complemented
188	#19127663	C₂²	1	1	yes	characteristic, complemented
189	#19127655	C₂²	1	1	yes	characteristic, complemented
190	C₂×AGL(1,ℤ/8)×C₈₃	C₂²	1	1	yes	characteristic, complemented
191	C₂×AGL(1,ℤ/8)×C₈₃	C₂²	1	1	yes	characteristic, complemented
192	#546×C₈₃	C₂²	1	1	yes	characteristic, complemented
193	#546×C₈₃	C₂²	1	1	yes	characteristic, complemented
194	#495×C₈₃	C₂²	1	1	yes	characteristic, complemented
195	#468×C₈₃	C₂²	1	1	yes	characteristic, complemented
196	#468×C₈₃	C₂²	1	1	yes	characteristic, complemented
197	#463×C₈₃	C₂²	1	1	yes	characteristic, complemented
198	#463×C₈₃	C₂²	1	1	yes	characteristic, complemented
199	#452×C₈₃	C₂²	1	1	yes	characteristic, complemented
200	#452×C₈₃	C₂²	1	1	yes	characteristic, complemented
201	#447×C₈₃	C₂²	1	1	yes	characteristic, complemented
202	#447×C₈₃	C₂²	1	1	yes	characteristic, complemented
203	C₄×D₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
204	#436×C₈₃	C₂²	1	1	yes	characteristic, complemented
205	C₂⁴×D₈₃	—	2	1	no	—
206	#14581838	—	2	4	no	—
207	#14581838	—	4	2	no	—
208	#14581837	—	2	4	no	—
209	#14581837	—	4	2	no	—
210	C₂×#13050591	C₂³	1	1	yes	characteristic
211	C₂×#13050591	C₂³	1	1	yes	characteristic
212	C₂×#13050591	C₂³	1	1	yes	characteristic
213	C₂×#13050590	—	2	1	no	—
214	C₂×#13050590	—	2	1	no	—
215	C₂×#13050590	C₂³	1	1	yes	characteristic
216	C₂×#13050590	C₂³	1	1	yes	characteristic
217	C₂×#13050590	C₂³	1	1	yes	characteristic, complemented
218	C₂×#13050589	—	2	1	no	—
219	C₂×#13050589	—	2	1	no	—
220	C₂×#13050589	C₂³	1	1	yes	characteristic
221	C₂×#13050589	C₂³	1	1	yes	characteristic
222	C₂×#13050589	C₂³	1	1	yes	characteristic, complemented
223	#41×D₈₃	—	2	4	no	—
224	#41×D₈₃	—	4	2	no	—
225	C₂×Q₈×D₈₃	C₂³	1	1	yes	characteristic
226	C₂²×D₃₃₂	—	2	1	no	—
227	C₂²×D₃₃₂	—	2	1	no	—
228	C₂²×D₃₃₂	C₂³	1	1	yes	characteristic
229	C₂²×D₃₃₂	C₂³	1	1	yes	characteristic
230	C₂²×C₂²⋊D₈₃	—	2	1	no	—
231	C₂²×C₂²⋊D₈₃	—	2	1	no	—
232	C₂²×C₂²⋊D₈₃	—	2	1	no	—
233	C₂²×C₂²⋊D₈₃	—	2	1	no	—
234	C₂×D₄×D₈₃	—	2	4	no	—
235	C₂×D₄×D₈₃	—	2	1	no	—
236	C₂×D₄×D₈₃	—	2	1	no	—
237	C₂×D₄×D₈₃	—	2	1	no	—
238	C₂×D₄×D₈₃	—	2	1	no	—
239	C₂×D₄×D₈₃	—	2	1	no	—
240	C₂×D₄×D₈₃	—	2	1	no	—
241	C₂×D₄×D₈₃	—	2	1	no	—
242	C₂×D₄×D₈₃	—	2	1	no	—
243	C₂×D₄×D₈₃	—	4	2	no	—
244	C₂×D₄×D₈₃	C₂³	1	1	yes	characteristic
245	C₂×D₄×D₈₃	C₂³	1	1	yes	characteristic
246	C₂×D₄×D₈₃	C₂³	1	1	yes	characteristic
247	C₂×D₄×D₈₃	C₂³	1	1	yes	characteristic
248	C₂×D₄×D₈₃	C₂³	1	1	yes	characteristic
249	C₂×D₄×D₈₃	C₂³	1	1	yes	characteristic
250	C₂×D₄×D₈₃	C₂³	1	1	yes	characteristic, complemented
251	C₂²×C₄×D₈₃	—	2	1	no	—
252	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
253	#14581824	—	4	2	no	—
254	#14581820	—	2	4	no	—
255	#14581820	—	2	4	no	—
256	#14581819	—	2	4	no	—
257	#14581819	—	2	4	no	—
258	#14581819	—	2	4	no	—
259	#14581819	—	2	4	no	—
260	#14581818	—	2	4	no	—
261	#14581817	—	2	4	no	—
262	#14581816	—	2	4	no	—
263	#14581816	—	2	4	no	—
264	#14581816	—	2	4	no	—
265	#14581816	—	2	4	no	—
266	#14581816	—	4	2	no	—
267	#14581813	—	2	4	no	—
268	#14581813	—	2	4	no	—
269	#14581812	—	2	4	no	—
270	C₂×#13050580	C₂³	1	1	yes	characteristic, complemented
271	C₂×#13050580	C₂³	1	1	yes	characteristic, complemented
272	C₂×#13050579	C₂³	1	1	yes	characteristic
273	C₂×#13050579	C₂³	1	1	yes	characteristic
274	C₂×#13050579	C₂³	1	1	yes	characteristic
275	C₂×#13050579	C₂³	1	1	yes	characteristic
276	C₂×#13050579	C₂³	1	1	yes	characteristic, complemented
277	C₂×#13050579	C₂³	1	1	yes	characteristic, complemented
278	C₂×#13050578	C₂³	1	1	yes	characteristic
279	C₂×#13050578	C₂³	1	1	yes	characteristic
280	C₂×#13050578	C₂³	1	1	yes	characteristic
281	C₂×#13050578	C₂³	1	1	yes	characteristic
282	C₂×#13050577	C₂³	1	1	yes	characteristic
283	C₂×#13050577	C₂³	1	1	yes	characteristic
284	C₂×#13050577	C₂³	1	1	yes	characteristic, complemented
285	C₂×#13050577	C₂³	1	1	yes	characteristic, complemented
286	SD₁₆×D₈₃	—	2	4	no	—
287	SD₁₆×D₈₃	—	2	4	no	—
288	C₂×D₆₆₄	C₂³	1	1	yes	characteristic
289	C₂×D₆₆₄	C₂³	1	1	yes	characteristic
290	C₂×D₆₆₄	C₂³	1	1	yes	characteristic, complemented
291	C₂×#13050575	—	2	4	no	—
292	C₂×#13050575	C₂³	1	1	yes	characteristic
293	C₂×#13050575	C₂³	1	1	yes	characteristic
294	C₂×#13050575	C₂³	1	1	yes	characteristic
295	C₂×#13050575	C₂³	1	1	yes	characteristic
296	C₂×#13050575	C₂³	1	1	yes	characteristic
297	C₂×#13050575	C₂³	1	1	yes	characteristic
298	C₂×#13050575	C₂³	1	1	yes	characteristic, complemented
299	C₂×#13050575	C₂³	1	1	yes	characteristic, complemented
300	D₈×D₈₃	—	2	4	no	—
301	D₈×D₈₃	—	2	4	no	—
302	D₈×D₈₃	D₄	1	8	yes	complemented
303	#14581800	—	2	4	no	—
304	C₂×#13050574	C₂³	1	1	yes	characteristic
305	C₂×#13050573	C₂³	1	1	yes	characteristic
306	C₂×#13050573	C₂³	1	1	yes	characteristic
307	C₂×#13050573	C₂³	1	1	yes	characteristic
308	C₂×#13050573	C₂³	1	1	yes	characteristic
309	C₂×#13050573	C₂³	1	1	yes	characteristic, complemented
310	M₁₆×D₈₃	—	2	4	no	—
311	C₂²×C₈₃⋊C₈	C₂³	1	1	yes	characteristic, complemented
312	C₂×C₈×D₈₃	C₂³	1	1	yes	characteristic
313	C₂×C₈×D₈₃	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₈₃	C₂³	1	1	yes	characteristic, complemented
315	#14581792	C₂³	1	1	yes	characteristic, complemented
316	#14581791	—	2	1	no	—
317	#14581790	C₂³	1	1	yes	characteristic, complemented
318	#14581789	C₂³	1	1	yes	characteristic
319	#14581788	—	2	1	no	—
320	#14581788	C₂³	1	1	yes	characteristic
321	#14581781	C₂³	1	1	yes	characteristic
322	#14581779	C₂³	1	1	yes	characteristic, complemented
323	#14581778	—	2	1	no	—
324	#14581778	—	2	1	no	—
325	#14581777	—	2	1	no	—
326	#14581777	—	2	1	no	—
327	#14581777	—	2	1	no	—
328	#14581777	—	2	1	no	—
329	#14581777	D₄	1	1	yes	characteristic
330	#14581776	—	2	1	no	—
331	#14581776	—	2	1	no	—
332	#14581775	—	2	1	no	—
333	#14581775	—	2	1	no	—
334	#14581774	—	2	1	no	—
335	#14581774	—	2	1	no	—
336	#14581774	—	2	1	no	—
337	#14581774	—	2	1	no	—
338	#14581774	—	2	1	no	—
339	#14581774	—	2	1	no	—
340	#14581774	—	2	1	no	—
341	#14581774	—	2	1	no	—
342	#14581774	—	2	1	no	—
343	#14581774	—	2	1	no	—
344	#14581774	D₄	1	1	yes	characteristic
345	#14581773	—	2	1	no	—
346	#14581773	—	2	1	no	—
347	#14581772	C₂³	1	1	yes	characteristic
348	#14581772	C₂³	1	1	yes	characteristic, complemented
349	#14581771	C₂³	1	1	yes	characteristic
350	#14581771	C₂³	1	1	yes	characteristic, complemented
351	#14581770	D₄	1	1	yes	characteristic
352	#14581769	—	2	1	no	—
353	#14581769	—	2	1	no	—
354	#14581769	D₄	1	1	yes	characteristic
355	#14581768	C₂³	1	1	yes	characteristic
356	#14581768	C₂³	1	1	yes	characteristic, complemented
357	#14581767	—	2	1	no	—
358	#14581767	—	2	1	no	—
359	#14581767	C₂³	1	1	yes	characteristic
360	#14581767	C₂³	1	1	yes	characteristic
361	#14581766	—	2	1	no	—
362	#14581766	—	2	1	no	—
363	#14581766	C₂³	1	1	yes	characteristic
364	#14581766	C₂³	1	1	yes	characteristic
365	#14581765	—	2	1	no	—
366	#14581765	—	2	1	no	—
367	#14581765	—	2	1	no	—
368	#14581765	—	2	1	no	—
369	#14581765	—	2	1	no	—
370	#14581765	—	2	1	no	—
371	#14581765	D₄	1	1	yes	characteristic
372	#14581764	—	2	1	no	—
373	#14581764	—	2	1	no	—
374	#14581764	—	2	1	no	—
375	#14581764	—	2	1	no	—
376	#14581764	D₄	1	1	yes	characteristic
377	#14581763	—	2	1	no	—
378	#14581763	—	2	1	no	—
379	#14581763	C₂³	1	1	yes	characteristic
380	#14581763	C₂³	1	1	yes	characteristic
381	#14581762	—	2	1	no	—
382	#14581762	—	2	1	no	—
383	#14581762	—	2	1	no	—
384	#14581762	—	2	1	no	—
385	#14581762	—	2	1	no	—
386	#14581762	—	2	1	no	—
387	#14581762	—	2	1	no	—
388	#14581762	—	2	1	no	—
389	#14581762	—	2	1	no	—
390	#14581762	—	2	1	no	—
391	#14581762	—	2	1	no	—
392	#14581762	—	2	1	no	—
393	#14581762	D₄	1	1	yes	characteristic
394	#14581761	—	2	1	no	—
395	#14581761	—	2	1	no	—
396	#14581760	—	2	1	no	—
397	#14581760	—	2	1	no	—
398	#14581760	—	2	1	no	—
399	#14581760	—	2	1	no	—
400	#14581760	—	2	1	no	—
401	#14581760	—	2	1	no	—
402	#14581760	D₄	1	1	yes	characteristic
403	C₄×D₃₃₂	C₂³	1	1	yes	characteristic
404	C₄×D₃₃₂	C₂³	1	1	yes	characteristic
405	C₄×D₃₃₂	C₂³	1	1	yes	characteristic, complemented
406	D₄×Dic₈₃	—	2	1	no	—
407	D₄×Dic₈₃	C₂³	1	1	yes	characteristic
408	D₄×Dic₈₃	C₂³	1	1	yes	characteristic, complemented
409	#14581754	—	2	1	no	—
410	#14581754	C₂³	1	1	yes	characteristic
411	#14581754	C₂³	1	1	yes	characteristic, complemented
412	C₄×C₂²⋊D₈₃	—	2	1	no	—
413	C₄×C₂²⋊D₈₃	—	2	1	no	—
414	C₄×C₂²⋊D₈₃	C₂³	1	1	yes	characteristic
415	C₄×C₂²⋊D₈₃	C₂³	1	1	yes	characteristic
416	(C₂²⋊D₈₃)⋊C₄	—	2	1	no	—
417	(C₂²⋊D₈₃)⋊C₄	—	2	1	no	—
418	(C₂²⋊D₈₃)⋊C₄	—	2	1	no	—
419	(C₂²⋊D₈₃)⋊C₄	—	2	1	no	—
420	#14581750	C₂³	1	1	yes	characteristic
421	#14581750	C₂³	1	1	yes	characteristic
422	#14581749	C₂³	1	1	yes	characteristic
423	C₂×C₄⋊Dic₈₃	—	2	1	no	—
424	C₂×Dic₈₃⋊C₄	—	2	1	no	—
425	C₄⋊C₄×D₈₃	—	2	1	no	—
426	C₄⋊C₄×D₈₃	—	2	1	no	—
427	C₂×C₂²⋊Dic₈₃	—	2	1	no	—
428	C₂×(C₂×D₈₃)⋊C₄	—	2	1	no	—
429	C₂×(C₂×D₈₃)⋊C₄	—	2	1	no	—
430	C₂×(C₂×D₈₃)⋊C₄	—	2	1	no	—
431	C₂²⋊C₄×D₈₃	—	2	1	no	—
432	C₂²⋊C₄×D₈₃	—	2	1	no	—
433	C₂²⋊C₄×D₈₃	—	2	1	no	—
434	C₂²⋊C₄×D₈₃	—	2	1	no	—
435	C₂²⋊C₄×D₈₃	—	2	1	no	—
436	C₂²⋊C₄×D₈₃	—	2	1	no	—
437	#14581726	C₂³	1	1	yes	characteristic, complemented
438	#14581723	C₂³	1	1	yes	characteristic, complemented
439	#14581723	C₂³	1	1	yes	characteristic, complemented
440	C₄⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic, complemented
441	Dic₈₃⋊C₈	C₂³	1	1	yes	characteristic, complemented
442	Dic₈₃⋊C₈	C₂³	1	1	yes	characteristic, complemented
443	#14581717	C₂³	1	1	yes	characteristic, complemented
444	#14581717	C₂³	1	1	yes	characteristic, complemented
445	#14581716	C₂³	1	1	yes	characteristic, complemented
446	#14581716	C₂³	1	1	yes	characteristic, complemented
447	#14581715	C₂³	1	1	yes	characteristic, complemented
448	#14581715	C₂³	1	1	yes	characteristic, complemented
449	#14581714	C₂³	1	1	yes	characteristic
450	#14581714	C₂³	1	1	yes	characteristic
451	#14581714	C₂³	1	1	yes	characteristic, complemented
452	#14581714	C₂³	1	1	yes	characteristic, complemented
453	#14581713	C₂³	1	1	yes	characteristic
454	#14581713	C₂³	1	1	yes	characteristic
455	#14581713	C₂³	1	1	yes	characteristic, complemented
456	#14581713	C₂³	1	1	yes	characteristic, complemented
457	#14581712	C₂³	1	1	yes	characteristic
458	#14581712	C₂³	1	1	yes	characteristic
459	#14581712	C₂³	1	1	yes	characteristic, complemented
460	#14581712	C₂³	1	1	yes	characteristic, complemented
461	C₂²⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
462	C₂²⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic, complemented
463	(C₂×D₈₃)⋊C₈	C₂³	1	1	yes	characteristic
464	(C₂×D₈₃)⋊C₈	C₂³	1	1	yes	characteristic
465	(C₂×D₈₃)⋊C₈	C₂³	1	1	yes	characteristic, complemented
466	(C₂×D₈₃)⋊C₈	C₂³	1	1	yes	characteristic, complemented
467	#14581703	C₂³	1	1	yes	characteristic, complemented
468	#14581702	C₂³	1	1	yes	characteristic, complemented
469	C₈×Dic₈₃	C₂³	1	1	yes	characteristic, complemented
470	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
471	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
472	C₂²×D₄×C₈₃	C₂³	1	1	yes	characteristic
473	C₂²×D₄×C₈₃	C₂³	1	1	yes	characteristic, complemented
474	AGL(1,ℤ/8)×C₈₃	—	2	4	no	—
475	AGL(1,ℤ/8)×C₈₃	—	2	4	no	—
476	C₂×Q₁₆×C₈₃	C₂³	1	1	yes	characteristic, complemented
477	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic
478	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic
479	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic, complemented
480	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic, complemented
481	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
482	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
483	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
484	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
485	C₂×M₁₆×C₈₃	C₂³	1	1	yes	characteristic
486	C₂×M₁₆×C₈₃	C₂³	1	1	yes	characteristic, complemented
487	#124×C₈₃	C₂³	1	1	yes	characteristic
488	#124×C₈₃	C₂³	1	1	yes	characteristic, complemented
489	#123×C₈₃	—	2	1	no	—
490	#123×C₈₃	—	2	1	no	—
491	C₂²⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
492	C₂²⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic, complemented
493	#121×C₈₃	—	2	1	no	—
494	#121×C₈₃	—	2	1	no	—
495	#121×C₈₃	C₂³	1	1	yes	characteristic
496	#121×C₈₃	C₂³	1	1	yes	characteristic
497	#120×C₈₃	—	2	1	no	—
498	#120×C₈₃	—	2	1	no	—
499	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
500	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
501	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic, complemented
502	C₂×C₂²⋊C₄×C₈₃	—	2	1	no	—
503	C₂×C₂²⋊C₄×C₈₃	—	2	1	no	—
504	#107×C₈₃	C₂³	1	1	yes	characteristic, complemented
505	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic, complemented
506	#103×C₈₃	C₂³	1	1	yes	characteristic, complemented
507	#103×C₈₃	C₂³	1	1	yes	characteristic, complemented
508	#102×C₈₃	C₂³	1	1	yes	characteristic
509	#102×C₈₃	C₂³	1	1	yes	characteristic
510	#102×C₈₃	C₂³	1	1	yes	characteristic, complemented
511	#102×C₈₃	C₂³	1	1	yes	characteristic, complemented
512	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
513	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic, complemented
514	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic, complemented
515	C₂³×D₈₃	—	2	1	no	—
516	C₂³×D₈₃	—	2	1	no	—
517	C₂³×D₈₃	—	2	1	no	—
518	C₂³×D₈₃	—	2	1	no	—
519	C₂³×D₈₃	—	2	1	no	—
520	C₂³×D₈₃	—	2	1	no	—
521	C₂³×D₈₃	—	2	1	no	—
522	C₂³×D₈₃	—	2	1	no	—
523	C₂³×D₈₃	—	2	1	no	—
524	C₂³×D₈₃	—	4	4	no	—
525	C₂³×D₈₃	—	8	2	no	—
526	C₂³×D₈₃	—	8	2	no	—
527	C₂³×D₈₃	C₂×D₄	1	1	yes	characteristic
528	#13050591	—	2	2	no	—
529	#13050591	—	2	2	no	—
530	#13050591	—	2	2	no	—
531	#13050591	—	2	2	no	—
532	#13050591	—	4	1	no	—
533	#13050591	—	4	1	no	—
534	#13050590	—	2	2	no	—
535	#13050590	—	2	2	no	—
536	#13050590	—	2	2	no	—
537	#13050590	—	2	2	no	—
538	#13050590	—	4	1	no	—
539	#13050590	—	4	1	no	—
540	#13050590	—	4	4	no	—
541	#13050590	—	4	4	no	—
542	#13050589	—	2	2	no	—
543	#13050589	—	2	2	no	—
544	#13050589	—	2	2	no	—
545	#13050589	—	2	2	no	—
546	#13050589	—	4	1	no	—
547	#13050589	—	4	1	no	—
548	#13050589	—	4	4	no	—
549	#13050589	—	4	4	no	—
550	C₂×Dic₁₆₆	—	2	1	no	—
551	C₂×Dic₁₆₆	C₂×D₄	1	1	yes	characteristic
552	C₂×Dic₁₆₆	C₂⁴	1	1	yes	characteristic
553	C₂×Dic₁₆₆	C₂⁴	1	1	yes	characteristic
554	Q₈×D₈₃	—	2	2	no	—
555	Q₈×D₈₃	—	2	2	no	—
556	C₂×D₃₃₂	—	2	2	no	—
557	C₂×D₃₃₂	—	2	2	no	—
558	C₂×D₃₃₂	—	2	1	no	—
559	C₂×D₃₃₂	—	2	1	no	—
560	C₂×D₃₃₂	—	2	1	no	—
561	C₂×D₃₃₂	—	2	1	no	—
562	C₂×D₃₃₂	—	2	1	no	—
563	C₂×D₃₃₂	—	2	1	no	—
564	C₂×D₃₃₂	—	2	1	no	—
565	C₂×D₃₃₂	—	2	1	no	—
566	C₂×D₃₃₂	—	2	1	no	—
567	C₂×D₃₃₂	—	4	1	no	—
568	C₂×D₃₃₂	—	4	1	no	—
569	C₂×D₃₃₂	—	4	4	no	—
570	C₂×D₃₃₂	—	8	2	no	—
571	C₂×D₃₃₂	C₂×D₄	1	1	yes	characteristic
572	C₂×D₃₃₂	C₂×D₄	1	1	yes	characteristic
573	C₂×D₃₃₂	C₂⁴	1	1	yes	characteristic
574	C₂×D₃₃₂	C₂⁴	1	1	yes	characteristic
575	C₂×D₃₃₂	C₂⁴	1	1	yes	characteristic
576	C₂×D₃₃₂	C₂⁴	1	1	yes	characteristic
577	C₂×C₂²⋊D₈₃	—	2	1	no	—
578	C₂×C₂²⋊D₈₃	—	2	1	no	—
579	C₂×C₂²⋊D₈₃	—	2	1	no	—
580	C₂×C₂²⋊D₈₃	—	2	1	no	—
581	C₂×C₂²⋊D₈₃	—	2	1	no	—
582	C₂×C₂²⋊D₈₃	—	2	1	no	—
583	C₂×C₂²⋊D₈₃	—	2	1	no	—
584	C₂×C₂²⋊D₈₃	—	2	1	no	—
585	C₂×C₂²⋊D₈₃	—	2	1	no	—
586	C₂×C₂²⋊D₈₃	—	2	1	no	—
587	C₂×C₂²⋊D₈₃	—	2	1	no	—
588	C₂×C₂²⋊D₈₃	—	2	1	no	—
589	C₂×C₂²⋊D₈₃	—	2	1	no	—
590	C₂×C₂²⋊D₈₃	—	2	1	no	—
591	C₂×C₂²⋊D₈₃	—	2	1	no	—
592	C₂×C₂²⋊D₈₃	—	2	1	no	—
593	C₂×C₂²⋊D₈₃	—	2	1	no	—
594	C₂×C₂²⋊D₈₃	—	2	1	no	—
595	C₂×C₂²⋊D₈₃	—	4	4	no	—
596	C₂×C₂²⋊D₈₃	—	4	4	no	—
597	C₂×C₂²⋊D₈₃	—	4	4	no	—
598	C₂×C₂²⋊D₈₃	—	8	2	no	—
599	C₂×C₂²⋊D₈₃	C₂×D₄	1	1	yes	characteristic
600	C₂×C₂²⋊D₈₃	C₂×D₄	1	1	yes	characteristic
601	C₂×C₂²⋊D₈₃	C₂×D₄	1	1	yes	characteristic
602	C₂×C₂²⋊D₈₃	C₂×D₄	1	1	yes	characteristic
603	D₄×D₈₃	—	2	2	no	—
604	D₄×D₈₃	—	2	2	no	—
605	D₄×D₈₃	—	2	2	no	—
606	D₄×D₈₃	—	2	2	no	—
607	D₄×D₈₃	—	2	2	no	—
608	D₄×D₈₃	—	2	2	no	—
609	D₄×D₈₃	—	2	2	no	—
610	D₄×D₈₃	—	2	2	no	—
611	D₄×D₈₃	—	4	1	no	—
612	D₄×D₈₃	—	4	1	no	—
613	D₄×D₈₃	—	4	1	no	—
614	D₄×D₈₃	—	4	1	no	—
615	D₄×D₈₃	—	4	4	no	—
616	D₄×D₈₃	—	4	4	no	—
617	D₄×D₈₃	—	4	4	no	—
618	D₄×D₈₃	—	4	4	no	—
619	D₄×D₈₃	—	4	4	no	—
620	D₄×D₈₃	—	4	4	no	—
621	D₄×D₈₃	—	8	2	no	—
622	D₄×D₈₃	—	8	2	no	—
623	D₄×D₈₃	C₂×D₄	1	4	yes	—
624	D₄×D₈₃	C₂×D₄	1	4	yes	complemented
625	C₂²×Dic₈₃	—	2	1	no	—
626	C₂²×Dic₈₃	—	2	1	no	—
627	C₂²×Dic₈₃	—	2	1	no	—
628	C₂²×Dic₈₃	—	2	1	no	—
629	C₂²×Dic₈₃	—	2	1	no	—
630	C₂²×Dic₈₃	C₂×D₄	1	1	yes	characteristic
631	C₂×C₄×D₈₃	—	2	2	no	—
632	C₂×C₄×D₈₃	—	2	2	no	—
633	C₂×C₄×D₈₃	—	2	1	no	—
634	C₂×C₄×D₈₃	—	2	1	no	—
635	C₂×C₄×D₈₃	—	2	1	no	—
636	C₂×C₄×D₈₃	—	2	1	no	—
637	C₂×C₄×D₈₃	—	2	1	no	—
638	C₂×C₄×D₈₃	—	2	1	no	—
639	C₂×C₄×D₈₃	—	2	1	no	—
640	C₂×C₄×D₈₃	—	2	1	no	—
641	C₂×C₄×D₈₃	—	2	1	no	—
642	C₂×C₄×D₈₃	—	2	1	no	—
643	C₂×C₄×D₈₃	—	4	4	no	—
644	C₂×C₄×D₈₃	C₂×D₄	1	1	yes	characteristic
645	C₂×C₄×D₈₃	C₂×D₄	1	1	yes	characteristic
646	C₂×C₄×D₈₃	C₂⁴	1	1	yes	characteristic
647	C₂×C₄×D₈₃	C₂⁴	1	1	yes	characteristic
648	C₂×C₄×D₈₃	C₂⁴	1	1	yes	characteristic
649	#13050580	—	2	2	no	—
650	#13050580	—	4	1	no	—
651	#13050579	—	2	2	no	—
652	#13050579	—	2	2	no	—
653	#13050579	—	2	2	no	—
654	#13050579	—	2	2	no	—
655	#13050579	—	4	1	no	—
656	#13050579	—	4	1	no	—
657	#13050578	—	2	2	no	—
658	#13050578	—	2	2	no	—
659	#13050578	—	2	2	no	—
660	#13050578	—	4	1	no	—
661	#13050577	—	2	2	no	—
662	#13050577	—	2	2	no	—
663	#13050577	—	2	2	no	—
664	#13050577	—	4	1	no	—
665	D₆₆₄	—	2	2	no	—
666	D₆₆₄	—	2	2	no	—
667	D₆₆₄	C₂×D₄	1	4	yes	complemented
668	#13050575	—	2	2	no	—
669	#13050575	—	2	2	no	—
670	#13050575	—	2	2	no	—
671	#13050575	—	2	2	no	—
672	#13050575	—	2	2	no	—
673	#13050575	—	4	1	no	—
674	#13050575	C₂×D₄	1	4	yes	complemented
675	#13050575	C₂×D₄	1	4	yes	complemented
676	#13050574	—	2	2	no	—
677	#13050573	—	2	2	no	—
678	#13050573	—	2	2	no	—
679	#13050573	—	2	2	no	—
680	#13050573	—	2	2	no	—
681	#13050573	—	2	2	no	—
682	C₂×C₈₃⋊C₈	—	2	2	no	—
683	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
684	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
685	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
686	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
687	C₈×D₈₃	—	2	2	no	—
688	C₈×D₈₃	—	2	2	no	—
689	C₈×D₈₃	C₂×D₄	1	4	yes	complemented
690	C₄⋊Dic₈₃	—	2	1	no	—
691	C₄⋊Dic₈₃	—	2	1	no	—
692	C₄⋊Dic₈₃	—	2	1	no	—
693	C₄⋊Dic₈₃	—	2	1	no	—
694	C₄⋊Dic₈₃	C₂×D₄	1	1	yes	characteristic
695	C₄⋊Dic₈₃	C₂⁴	1	1	yes	characteristic
696	C₄⋊Dic₈₃	C₂⁴	1	1	yes	characteristic
697	Dic₈₃⋊C₄	—	2	1	no	—
698	Dic₈₃⋊C₄	—	2	1	no	—
699	Dic₈₃⋊C₄	—	2	1	no	—
700	Dic₈₃⋊C₄	—	2	1	no	—
701	Dic₈₃⋊C₄	—	2	1	no	—
702	Dic₈₃⋊C₄	—	2	1	no	—
703	Dic₈₃⋊C₄	C₂×D₄	1	1	yes	characteristic
704	Dic₈₃⋊C₄	C₂×D₄	1	1	yes	characteristic
705	Dic₈₃⋊C₄	C₂×D₄	1	1	yes	characteristic
706	Dic₈₃⋊C₄	C₂×D₄	1	1	yes	characteristic
707	C₂²⋊Dic₈₃	—	2	1	no	—
708	C₂²⋊Dic₈₃	—	2	1	no	—
709	C₂²⋊Dic₈₃	—	2	1	no	—
710	C₂²⋊Dic₈₃	—	2	1	no	—
711	C₂²⋊Dic₈₃	—	2	1	no	—
712	C₂²⋊Dic₈₃	—	2	1	no	—
713	C₂²⋊Dic₈₃	—	2	1	no	—
714	C₂²⋊Dic₈₃	—	2	1	no	—
715	C₂²⋊Dic₈₃	C₂×D₄	1	1	yes	characteristic
716	C₂²⋊Dic₈₃	C₂×D₄	1	1	yes	characteristic
717	(C₂×D₈₃)⋊C₄	—	2	1	no	—
718	(C₂×D₈₃)⋊C₄	—	2	1	no	—
719	(C₂×D₈₃)⋊C₄	—	2	1	no	—
720	(C₂×D₈₃)⋊C₄	—	2	1	no	—
721	(C₂×D₈₃)⋊C₄	—	2	1	no	—
722	(C₂×D₈₃)⋊C₄	—	2	1	no	—
723	(C₂×D₈₃)⋊C₄	—	2	1	no	—
724	(C₂×D₈₃)⋊C₄	—	2	1	no	—
725	(C₂×D₈₃)⋊C₄	—	2	1	no	—
726	(C₂×D₈₃)⋊C₄	—	2	1	no	—
727	(C₂×D₈₃)⋊C₄	—	2	1	no	—
728	(C₂×D₈₃)⋊C₄	—	2	1	no	—
729	(C₂×D₈₃)⋊C₄	—	2	1	no	—
730	(C₂×D₈₃)⋊C₄	—	2	1	no	—
731	(C₂×D₈₃)⋊C₄	—	2	1	no	—
732	(C₂×D₈₃)⋊C₄	—	2	1	no	—
733	(C₂×D₈₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
734	(C₂×D₈₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
735	(C₂×D₈₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
736	(C₂×D₈₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
737	(C₂×D₈₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
738	(C₂×D₈₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
739	C₄×Dic₈₃	—	2	1	no	—
740	C₄×Dic₈₃	—	2	1	no	—
741	C₄×Dic₈₃	C₂⁴	1	1	yes	characteristic
742	C₂⁴×C₈₃	—	2	1	no	—
743	C₂⁴×C₈₃	—	2	1	no	—
744	#41×C₈₃	—	2	2	no	—
745	#41×C₈₃	—	2	2	no	—
746	#41×C₈₃	—	4	1	no	—
747	#41×C₈₃	—	4	1	no	—
748	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
749	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
750	C₂×D₄×C₈₃	—	2	2	no	—
751	C₂×D₄×C₈₃	—	2	2	no	—
752	C₂×D₄×C₈₃	—	2	1	no	—
753	C₂×D₄×C₈₃	—	2	1	no	—
754	C₂×D₄×C₈₃	—	2	1	no	—
755	C₂×D₄×C₈₃	—	2	1	no	—
756	C₂×D₄×C₈₃	—	2	1	no	—
757	C₂×D₄×C₈₃	—	2	1	no	—
758	C₂×D₄×C₈₃	—	4	1	no	—
759	C₂×D₄×C₈₃	—	4	1	no	—
760	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
761	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
762	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
763	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
764	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
765	C₂²×C₄×C₈₃	—	2	1	no	—
766	C₂²×C₄×C₈₃	—	2	1	no	—
767	C₂²×C₄×C₈₃	—	2	1	no	—
768	C₂²×C₄×C₈₃	—	2	1	no	—
769	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
770	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
771	Q₁₆×C₈₃	—	4	1	no	—
772	SD₁₆×C₈₃	—	2	2	no	—
773	SD₁₆×C₈₃	—	2	2	no	—
774	SD₁₆×C₈₃	—	2	2	no	—
775	SD₁₆×C₈₃	—	2	2	no	—
776	D₈×C₈₃	—	2	2	no	—
777	D₈×C₈₃	—	2	2	no	—
778	D₈×C₈₃	—	4	1	no	—
779	D₈×C₈₃	C₂×D₄	1	4	yes	complemented
780	M₁₆×C₈₃	—	2	2	no	—
781	M₁₆×C₈₃	—	2	2	no	—
782	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
783	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
784	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
785	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
786	C₄⋊C₄×C₈₃	—	2	1	no	—
787	C₄⋊C₄×C₈₃	—	2	1	no	—
788	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
789	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
790	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
791	C₂²⋊C₄×C₈₃	—	2	1	no	—
792	C₂²⋊C₄×C₈₃	—	2	1	no	—
793	C₂²⋊C₄×C₈₃	—	2	1	no	—
794	C₂²⋊C₄×C₈₃	—	2	1	no	—
795	C₂²⋊C₄×C₈₃	—	2	1	no	—
796	C₂²⋊C₄×C₈₃	—	2	1	no	—
797	C₂²⋊C₄×C₈₃	—	2	1	no	—
798	C₂²⋊C₄×C₈₃	—	2	1	no	—
799	C₂²⋊C₄×C₈₃	—	2	1	no	—
800	C₂²⋊C₄×C₈₃	—	2	1	no	—
801	C₂²⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
802	C₂²⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
803	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
804	C₂³×C₈₃	—	2	1	no	—
805	C₂³×C₈₃	—	2	1	no	—
806	C₂³×C₈₃	—	2	1	no	—
807	C₂³×C₈₃	—	2	1	no	—
808	C₂³×C₈₃	—	4	2	no	—
809	C₂³×C₈₃	—	4	2	no	—
810	C₂³×C₈₃	—	4	2	no	—
811	C₂³×C₈₃	—	8	1	no	—
812	C₂³×C₈₃	—	8	1	no	—
813	C₂³×C₈₃	—	8	1	no	—
814	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
815	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
816	C₂²×D₈₃	—	2	1	no	—
817	C₂²×D₈₃	—	2	1	no	—
818	C₂²×D₈₃	—	2	2	no	—
819	C₂²×D₈₃	—	2	4	no	—
820	C₂²×D₈₃	—	2	4	no	—
821	C₂²×D₈₃	—	2	1	no	—
822	C₂²×D₈₃	—	2	1	no	—
823	C₂²×D₈₃	—	4	1	no	—
824	C₂²×D₈₃	—	4	1	no	—
825	C₂²×D₈₃	—	4	2	no	—
826	C₂²×D₈₃	—	4	2	no	—
827	C₂²×D₈₃	—	4	2	no	—
828	C₂²×D₈₃	—	4	2	no	—
829	C₂²×D₈₃	—	4	2	no	—
830	C₂²×D₈₃	—	4	2	no	—
831	C₂²×D₈₃	—	4	2	no	—
832	C₂²×D₈₃	—	4	2	no	—
833	C₂²×D₈₃	—	4	2	no	—
834	C₂²×D₈₃	—	4	2	no	—
835	C₂²×D₈₃	—	8	1	no	—
836	C₂²×D₈₃	—	8	1	no	—
837	C₂²×D₈₃	—	8	1	no	—
838	C₂²×D₈₃	—	8	1	no	—
839	C₂²×D₈₃	—	8	1	no	—
840	C₂²×D₈₃	—	8	1	no	—
841	C₂²×D₈₃	—	8	1	no	—
842	C₂²×D₈₃	—	8	1	no	—
843	C₂²×D₈₃	—	8	1	no	—
844	C₂²×D₈₃	—	8	1	no	—
845	C₂²×D₈₃	—	8	1	no	—
846	C₂²×D₈₃	—	8	1	no	—
847	C₂²×D₈₃	—	8	1	no	—
848	C₂²×D₈₃	—	8	1	no	—
849	C₂²×D₈₃	—	8	1	no	—
850	C₂²×D₈₃	—	8	16	no	—
851	C₂²×D₈₃	C₂²×D₄	1	1	yes	characteristic
852	C₂²×D₈₃	C₂²×D₄	1	1	yes	characteristic
853	C₂²×D₈₃	C₂²×D₄	1	1	yes	characteristic
854	Q₈×C₈₃	—	2	1	no	—
855	Q₈×C₈₃	—	2	1	no	—
856	Q₈×C₈₃	—	2	1	no	—
857	Q₈×C₈₃	—	2	1	no	—
858	D₄×C₈₃	—	2	1	no	—
859	D₄×C₈₃	—	2	1	no	—
860	D₄×C₈₃	—	2	1	no	—
861	D₄×C₈₃	—	2	1	no	—
862	D₄×C₈₃	—	2	1	no	—
863	D₄×C₈₃	—	2	1	no	—
864	D₄×C₈₃	—	4	1	no	—
865	D₄×C₈₃	—	4	2	no	—
866	D₄×C₈₃	—	4	2	no	—
867	D₄×C₈₃	—	4	2	no	—
868	D₄×C₈₃	—	4	2	no	—
869	D₄×C₈₃	—	8	1	no	—
870	D₄×C₈₃	—	8	1	no	—
871	D₄×C₈₃	C₂²×D₄	1	2	yes	—
872	D₄×C₈₃	C₂²×D₄	1	2	yes	—
873	C₂×C₄×C₈₃	—	2	1	no	—
874	C₂×C₄×C₈₃	—	2	1	no	—
875	C₂×C₄×C₈₃	—	2	1	no	—
876	C₂×C₄×C₈₃	—	2	1	no	—
877	C₂×C₄×C₈₃	—	2	1	no	—
878	C₂×C₄×C₈₃	—	2	1	no	—
879	C₂×C₄×C₈₃	—	2	1	no	—
880	C₂×C₄×C₈₃	—	2	1	no	—
881	C₂×C₄×C₈₃	—	4	2	no	—
882	C₂×C₄×C₈₃	—	4	2	no	—
883	C₂×C₄×C₈₃	—	8	1	no	—
884	C₂×C₄×C₈₃	—	8	1	no	—
885	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
886	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
887	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
888	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
889	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
890	C₂²⋊D₈₃	—	2	2	no	—
891	C₂²⋊D₈₃	—	2	4	no	—
892	C₂²⋊D₈₃	—	2	4	no	—
893	C₂²⋊D₈₃	—	2	2	no	—
894	C₂²⋊D₈₃	—	4	1	no	—
895	C₂²⋊D₈₃	—	4	1	no	—
896	C₂²⋊D₈₃	—	4	2	no	—
897	C₂²⋊D₈₃	—	4	2	no	—
898	C₂²⋊D₈₃	—	4	2	no	—
899	C₂²⋊D₈₃	—	4	2	no	—
900	C₂²⋊D₈₃	—	4	2	no	—
901	C₂²⋊D₈₃	—	4	2	no	—
902	C₂²⋊D₈₃	—	4	2	no	—
903	C₂²⋊D₈₃	—	4	2	no	—
904	C₂²⋊D₈₃	—	4	2	no	—
905	C₂²⋊D₈₃	—	4	2	no	—
906	C₂²⋊D₈₃	—	4	2	no	—
907	C₂²⋊D₈₃	—	8	1	no	—
908	C₂²⋊D₈₃	—	8	1	no	—
909	C₂²⋊D₈₃	—	8	1	no	—
910	C₂²⋊D₈₃	—	8	1	no	—
911	C₂²⋊D₈₃	—	8	1	no	—
912	C₂×Dic₈₃	—	2	2	no	—
913	C₂×Dic₈₃	—	2	1	no	—
914	C₂×Dic₈₃	—	2	1	no	—
915	C₂×Dic₈₃	—	2	1	no	—
916	C₂×Dic₈₃	—	2	1	no	—
917	C₂×Dic₈₃	—	4	2	no	—
918	C₂×Dic₈₃	—	4	2	no	—
919	C₂×Dic₈₃	—	4	2	no	—
920	C₂×Dic₈₃	—	8	1	no	—
921	C₂×Dic₈₃	—	8	1	no	—
922	C₂×Dic₈₃	C₂²×D₄	1	1	yes	characteristic
923	C₂×Dic₈₃	C₂²×D₄	1	1	yes	characteristic
924	C₂×Dic₈₃	C₂²×D₄	1	1	yes	characteristic
925	C₂×Dic₈₃	C₂²×D₄	1	1	yes	characteristic
926	C₂×Dic₈₃	C₂²×D₄	1	1	yes	characteristic
927	D₃₃₂	—	2	2	no	—
928	D₃₃₂	—	2	1	no	—
929	D₃₃₂	—	2	1	no	—
930	D₃₃₂	—	2	1	no	—
931	D₃₃₂	—	2	1	no	—
932	D₃₃₂	—	2	1	no	—
933	D₃₃₂	—	2	1	no	—
934	D₃₃₂	—	4	1	no	—
935	D₃₃₂	—	4	2	no	—
936	D₃₃₂	—	4	2	no	—
937	D₃₃₂	—	4	2	no	—
938	D₃₃₂	—	4	2	no	—
939	D₃₃₂	—	4	2	no	—
940	D₃₃₂	—	4	2	no	—
941	D₃₃₂	—	8	1	no	—
942	D₃₃₂	—	8	1	no	—
943	D₃₃₂	—	8	1	no	—
944	D₃₃₂	C₂²×D₄	1	2	yes	—
945	D₃₃₂	C₂²×D₄	1	2	yes	—
946	C₄×D₈₃	—	2	2	no	—
947	C₄×D₈₃	—	2	1	no	—
948	C₄×D₈₃	—	2	1	no	—
949	C₄×D₈₃	—	2	1	no	—
950	C₄×D₈₃	—	2	1	no	—
951	C₄×D₈₃	—	2	2	no	—
952	C₄×D₈₃	—	4	2	no	—
953	C₄×D₈₃	—	4	2	no	—
954	C₄×D₈₃	—	4	2	no	—
955	C₄×D₈₃	—	4	2	no	—
956	C₄×D₈₃	—	4	2	no	—
957	C₄×D₈₃	—	4	2	no	—
958	C₄×D₈₃	—	8	1	no	—
959	C₄×D₈₃	—	8	1	no	—
960	C₄×D₈₃	—	8	1	no	—
961	C₄×D₈₃	—	8	1	no	—
962	C₄×D₈₃	C₂²×D₄	1	2	yes	—
963	C₄×D₈₃	H(5,𝔽₂)	1	2	yes	—
964	Dic₁₆₆	—	2	2	no	—
965	Dic₁₆₆	—	2	1	no	—
966	Dic₁₆₆	—	2	1	no	—
967	Dic₁₆₆	—	2	1	no	—
968	Dic₁₆₆	—	2	1	no	—
969	Dic₁₆₆	—	4	2	no	—
970	C₈×C₈₃	—	2	1	no	—
971	C₈×C₈₃	—	2	1	no	—
972	C₈×C₈₃	—	2	1	no	—
973	C₈×C₈₃	C₂²×D₄	1	2	yes	—
974	C₈₃⋊C₈	—	2	1	no	—
975	C₈₃⋊C₈	—	2	1	no	—
976	C₈₃⋊C₈	—	2	1	no	—
977	C₈₃⋊C₈	C₂²×D₄	1	2	yes	—
978	C₂²×C₈₃	—	2	1	no	—
979	C₂²×C₈₃	—	2	1	no	—
980	C₂²×C₈₃	—	2	1	no	—
981	C₂²×C₈₃	—	2	1	no	—
982	C₂²×C₈₃	—	2	1	no	—
983	C₂²×C₈₃	—	2	2	no	—
984	C₂²×C₈₃	—	2	1	no	—
985	C₂²×C₈₃	—	2	2	no	—
986	C₂²×C₈₃	—	4	1	no	—
987	C₂²×C₈₃	—	4	1	no	—
988	C₂²×C₈₃	—	4	1	no	—
989	C₂²×C₈₃	—	4	1	no	—
990	C₂²×C₈₃	—	4	1	no	—
991	C₂²×C₈₃	—	4	1	no	—
992	C₂²×C₈₃	—	4	1	no	—
993	C₂²×C₈₃	—	4	1	no	—
994	C₂²×C₈₃	—	4	1	no	—
995	C₂²×C₈₃	—	4	1	no	—
996	C₂²×C₈₃	—	8	4	no	—
997	C₂²×C₈₃	—	16	2	no	—
998	C₂²×C₈₃	C₂³×D₄	1	1	yes	characteristic
999	C₂×D₈₃	—	2	1	no	—
1000	C₂×D₈₃	—	2	1	no	—
1001	C₂×D₈₃	—	2	1	no	—
1002	C₂×D₈₃	—	2	1	no	—
1003	C₂×D₈₃	—	2	1	no	—
1004	C₂×D₈₃	—	2	1	no	—
1005	C₂×D₈₃	—	2	1	no	—
1006	C₂×D₈₃	—	2	1	no	—
1007	C₂×D₈₃	—	2	2	no	—
1008	C₂×D₈₃	—	2	2	no	—
1009	C₂×D₈₃	—	4	4	no	—
1010	C₂×D₈₃	—	4	1	no	—
1011	C₂×D₈₃	—	4	1	no	—
1012	C₂×D₈₃	—	4	1	no	—
1013	C₂×D₈₃	—	4	1	no	—
1014	C₂×D₈₃	—	4	1	no	—
1015	C₂×D₈₃	—	4	1	no	—
1016	C₂×D₈₃	—	4	1	no	—
1017	C₂×D₈₃	—	4	1	no	—
1018	C₂×D₈₃	—	4	1	no	—
1019	C₂×D₈₃	—	4	1	no	—
1020	C₂×D₈₃	—	8	4	no	—
1021	C₂×D₈₃	—	8	4	no	—
1022	C₂×D₈₃	—	8	4	no	—
1023	C₂×D₈₃	—	8	4	no	—
1024	C₂×D₈₃	—	8	4	no	—
1025	C₂×D₈₃	—	8	4	no	—
1026	C₂×D₈₃	—	16	2	no	—
1027	C₂×D₈₃	—	16	2	no	—
1028	C₂×D₈₃	—	16	2	no	—
1029	C₂×D₈₃	D₄²	1	2	yes	—
1030	C₄×C₈₃	—	2	1	no	—
1031	C₄×C₈₃	—	2	1	no	—
1032	C₄×C₈₃	—	2	1	no	—
1033	C₄×C₈₃	—	2	1	no	—
1034	C₄×C₈₃	—	4	1	no	—
1035	C₄×C₈₃	—	4	1	no	—
1036	C₄×C₈₃	—	4	1	no	—
1037	C₄×C₈₃	—	4	1	no	—
1038	C₄×C₈₃	C₂³×D₄	1	1	yes	characteristic
1039	C₄×C₈₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1040	Dic₈₃	—	2	1	no	—
1041	Dic₈₃	—	2	1	no	—
1042	Dic₈₃	—	2	1	no	—
1043	Dic₈₃	—	2	1	no	—
1044	Dic₈₃	—	4	1	no	—
1045	Dic₈₃	—	4	1	no	—
1046	Dic₈₃	—	4	1	no	—
1047	Dic₈₃	—	4	1	no	—
1048	Dic₈₃	D₄²	1	2	yes	—
1049	#61058	—	83	1	no	maximal, Sylow
1050	C₂×C₈₃	—	4	1	no	—
1051	C₂×C₈₃	—	4	2	no	—
1052	C₂×C₈₃	—	4	2	no	—
1053	C₂×C₈₃	—	4	1	no	—
1054	C₂×C₈₃	—	8	1	no	—
1055	C₂×C₈₃	—	8	1	no	—
1056	C₂×C₈₃	C₂×D₄²	1	1	yes	characteristic
1057	C₂×C₈₃	#3585	1	1	yes	characteristic
1058	C₂×C₈₃	#3585	1	1	yes	characteristic
1059	D₈₃	—	2	2	no	—
1060	D₈₃	—	4	1	no	—
1061	D₈₃	—	4	1	no	—
1062	D₈₃	—	4	2	no	—
1063	D₈₃	—	4	2	no	—
1064	D₈₃	—	8	1	no	—
1065	D₈₃	—	8	1	no	—
1066	C₂×#576	—	83	1	no	—
1067	C₂²×AGL(1,ℤ/8)	—	83	1	no	—
1068	#3485	—	83	1	no	—
1069	#3484	—	83	1	no	—
1070	#3273	—	83	1	no	—
1071	#3273	—	83	1	no	—
1072	#3273	—	83	1	no	—
1073	#3273	D₈₃	1	1	yes	characteristic, complemented
1074	#3272	—	83	1	no	—
1075	#3272	—	83	1	no	—
1076	#3272	—	83	1	no	—
1077	#3272	—	83	1	no	—
1078	#3267	—	83	1	no	—
1079	#3267	—	83	1	no	—
1080	#3267	—	83	1	no	—
1081	#3267	—	83	1	no	—
1082	#3264	—	83	1	no	—
1083	#3264	—	83	1	no	—
1084	#3264	—	83	1	no	—
1085	#3264	—	83	1	no	—
1086	#3154	—	83	1	no	—
1087	#3057	—	83	1	no	—
1088	#3054	—	83	1	no	—
1089	#3042	—	83	1	no	—
1090	#3041	—	83	1	no	—
1091	#3009	—	83	1	no	—
1092	#3008	—	83	1	no	—
1093	#3005	—	83	1	no	—
1094	#3003	—	83	1	no	—
1095	#2948	—	83	1	no	—
1096	#2930	—	83	1	no	—
1097	C₈₃	#61058	1	1	yes	characteristic, complemented, Sylow
1098	C₂×H(5,𝔽₂)	—	83	1	no	—
1099	C₂×H(5,𝔽₂)	—	83	1	no	—
1100	C₂²×#41	—	83	1	no	—
1101	C₂³×D₄	—	83	1	no	—
1102	#576	—	166	8	no	—
1103	C₂×#137	—	83	1	no	—
1104	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1105	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1106	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1107	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1108	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1109	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1110	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1111	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1112	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1113	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1114	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1115	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1116	C₂×AGL(1,ℤ/8)	—	83	1	no	—
1117	C₂×AGL(1,ℤ/8)	—	166	8	no	—
1118	C₂×AGL(1,ℤ/8)	C₂×D₈₃	1	1	yes	characteristic, complemented
1119	C₂×AGL(1,ℤ/8)	C₂×D₈₃	1	1	yes	characteristic, complemented
1120	C₂×#135	—	83	1	no	—
1121	C₂×#135	—	83	1	no	—
1122	C₂×#135	—	83	1	no	—
1123	C₂²×SD₁₆	—	83	1	no	—
1124	C₂²×SD₁₆	—	83	1	no	—
1125	C₂²×D₈	—	83	1	no	—
1126	C₂²×D₈	—	83	1	no	—
1127	C₂²×D₈	—	83	1	no	—
1128	C₂²×D₈	—	83	1	no	—
1129	C₂×#131	—	83	1	no	—
1130	C₂²×M₁₆	—	83	1	no	—
1131	#547	—	83	1	no	—
1132	#547	—	83	1	no	—
1133	#547	—	83	1	no	—
1134	#547	—	83	1	no	—
1135	#547	—	166	1	no	—
1136	#547	—	166	1	no	—
1137	#546	—	83	1	no	—
1138	#546	—	83	1	no	—
1139	#546	—	83	1	no	—
1140	#546	—	83	1	no	—
1141	#546	—	83	1	no	—
1142	#546	—	83	1	no	—
1143	#546	—	166	1	no	—
1144	#546	—	166	1	no	—
1145	#546	—	166	1	no	—
1146	#546	—	166	1	no	—
1147	#546	C₂×D₈₃	1	1	yes	characteristic, complemented
1148	#546	C₂×D₈₃	1	1	yes	characteristic, complemented
1149	D₄²	—	83	1	no	—
1150	D₄²	—	83	1	no	—
1151	D₄²	—	83	1	no	—
1152	D₄²	—	83	1	no	—
1153	D₄²	—	166	1	no	—
1154	D₄²	—	166	1	no	—
1155	#536	—	83	1	no	—
1156	#536	—	83	1	no	—
1157	#535	—	83	1	no	—
1158	#535	—	83	1	no	—
1159	#534	—	166	1	no	—
1160	#534	—	166	1	no	—
1161	#534	—	166	1	no	—
1162	#534	—	166	1	no	—
1163	#525	—	83	1	no	—
1164	#525	—	83	1	no	—
1165	#525	—	83	1	no	—
1166	C₂×#123	—	166	1	no	—
1167	C₂×#123	—	166	1	no	—
1168	C₂×#120	—	166	1	no	—
1169	C₂×#120	—	166	1	no	—
1170	#518	—	83	1	no	—
1171	#518	—	83	1	no	—
1172	#497	—	83	1	no	—
1173	#497	—	83	1	no	—
1174	#496	—	83	1	no	—
1175	#496	—	83	1	no	—
1176	#495	—	83	1	no	—
1177	#495	C₂×D₈₃	1	1	yes	characteristic, complemented
1178	#492	—	83	1	no	—
1179	#492	—	83	1	no	—
1180	#470	—	83	1	no	—
1181	#470	—	83	1	no	—
1182	#469	—	83	1	no	—
1183	#469	—	83	1	no	—
1184	#468	—	83	1	no	—
1185	#468	—	83	1	no	—
1186	#468	—	83	1	no	—
1187	#468	—	83	1	no	—
1188	#468	—	83	1	no	—
1189	#468	—	83	1	no	—
1190	#468	C₂×D₈₃	1	1	yes	characteristic, complemented
1191	#468	C₂×D₈₃	1	1	yes	characteristic, complemented
1192	#465	—	83	1	no	—
1193	#465	—	83	1	no	—
1194	#465	—	83	1	no	—
1195	#465	—	83	1	no	—
1196	#463	—	83	1	no	—
1197	#463	—	83	1	no	—
1198	#463	—	83	1	no	—
1199	#463	—	83	1	no	—
1200	#463	—	83	1	no	—
1201	#463	—	83	1	no	—
1202	#463	C₂×D₈₃	1	1	yes	characteristic, complemented
1203	#463	C₂×D₈₃	1	1	yes	characteristic, complemented
1204	#461	—	83	1	no	—
1205	#461	—	83	1	no	—
1206	#461	—	83	1	no	—
1207	#461	—	83	1	no	—
1208	#459	—	83	1	no	—
1209	#459	—	83	1	no	—
1210	#459	—	83	1	no	—
1211	#459	—	83	1	no	—
1212	#452	—	83	1	no	—
1213	#452	—	83	1	no	—
1214	#452	—	83	1	no	—
1215	#452	—	83	1	no	—
1216	#452	—	83	1	no	—
1217	#452	—	83	1	no	—
1218	#452	C₂×D₈₃	1	1	yes	characteristic, complemented
1219	#452	C₂×D₈₃	1	1	yes	characteristic, complemented
1220	#450	—	83	1	no	—
1221	#450	—	83	1	no	—
1222	#450	—	83	1	no	—
1223	#450	—	83	1	no	—
1224	#450	—	83	1	no	—
1225	#450	—	83	1	no	—
1226	#450	—	83	1	no	—
1227	#450	—	83	1	no	—
1228	#449	—	83	1	no	—
1229	#449	—	83	1	no	—
1230	#449	—	83	1	no	—
1231	#449	—	83	1	no	—
1232	#449	—	83	1	no	—
1233	#449	—	83	1	no	—
1234	#449	—	83	1	no	—
1235	#449	—	83	1	no	—
1236	#447	—	83	1	no	—
1237	#447	—	83	1	no	—
1238	#447	—	83	1	no	—
1239	#447	—	83	1	no	—
1240	#447	—	83	1	no	—
1241	#447	—	83	1	no	—
1242	#447	C₂×D₈₃	1	1	yes	characteristic, complemented
1243	#447	C₂×D₈₃	1	1	yes	characteristic, complemented
1244	#442	—	83	1	no	—
1245	#442	—	83	1	no	—
1246	#442	—	83	1	no	—
1247	#442	—	83	1	no	—
1248	C₄×D₈	—	83	1	no	—
1249	C₄×D₈	—	83	1	no	—
1250	C₄×D₈	—	83	1	no	—
1251	C₄×D₈	C₂×D₈₃	1	1	yes	characteristic, complemented
1252	#436	—	83	1	no	—
1253	#436	—	83	1	no	—
1254	#436	—	83	1	no	—
1255	#436	C₂×D₈₃	1	1	yes	characteristic, complemented
1256	#435	—	83	1	no	—
1257	#435	—	83	1	no	—
1258	#435	—	83	1	no	—
1259	#435	—	83	1	no	—
1260	#427	—	83	1	no	—
1261	#424	—	83	1	no	—
1262	#419	—	83	1	no	—
1263	#418	—	83	1	no	—
1264	#418	—	83	1	no	—
1265	#418	—	83	1	no	—
1266	#416	—	83	1	no	—
1267	#416	—	83	1	no	—
1268	#408	—	83	1	no	—
1269	#407	—	83	1	no	—
1270	#405	—	83	1	no	—
1271	C₂⁵	—	166	1	no	—
1272	H(5,𝔽₂)	—	332	2	no	—
1273	H(5,𝔽₂)	—	332	2	no	—
1274	H(5,𝔽₂)	—	166	4	no	—
1275	H(5,𝔽₂)	—	166	4	no	—
1276	C₂×#41	—	332	2	no	—
1277	C₂×#41	—	83	1	no	—
1278	C₂×#41	—	83	1	no	—
1279	C₂×#41	—	83	1	no	—
1280	C₂×#41	—	83	1	no	—
1281	C₂×#41	—	83	1	no	—
1282	C₂×#41	—	83	1	no	—
1283	C₂×#41	—	83	1	no	—
1284	C₂×#41	—	83	1	no	—
1285	C₂×#41	—	83	1	no	—
1286	C₂×#41	—	166	1	no	—
1287	C₂×#41	—	166	1	no	—
1288	C₂×#41	—	166	4	no	—
1289	C₂×#41	—	166	1	no	—
1290	C₂×#41	—	166	1	no	—
1291	C₂×#41	C₂²×D₈₃	1	1	yes	characteristic
1292	C₂×#41	C₂²×D₈₃	1	1	yes	characteristic
1293	C₂²×Q₈	—	83	1	no	—
1294	C₂²×D₄	—	332	2	no	—
1295	C₂²×D₄	—	83	1	no	—
1296	C₂²×D₄	—	83	1	no	—
1297	C₂²×D₄	—	83	1	no	—
1298	C₂²×D₄	—	83	1	no	—
1299	C₂²×D₄	—	83	1	no	—
1300	C₂²×D₄	—	83	1	no	—
1301	C₂²×D₄	—	83	1	no	—
1302	C₂²×D₄	—	83	1	no	—
1303	C₂²×D₄	—	83	1	no	—
1304	C₂²×D₄	—	166	1	no	—
1305	C₂²×D₄	—	166	1	no	—
1306	C₂²×D₄	—	166	1	no	—
1307	C₂²×D₄	—	166	1	no	—
1308	C₂²×D₄	—	166	1	no	—
1309	C₂²×D₄	—	166	1	no	—
1310	C₂²×D₄	—	166	1	no	—
1311	C₂²×D₄	—	166	1	no	—
1312	C₂²×D₄	—	166	1	no	—
1313	C₂²×D₄	—	166	4	no	—
1314	C₂²×D₄	—	166	1	no	—
1315	C₂²×D₄	—	166	1	no	—
1316	C₂²×D₄	—	166	1	no	—
1317	C₂²×D₄	—	166	1	no	—
1318	C₂²×D₄	—	166	1	no	—
1319	C₂²×D₄	C₂²×D₈₃	1	1	yes	characteristic
1320	C₂²×D₄	C₂²×D₈₃	1	1	yes	characteristic, complemented
1321	C₂³×C₄	—	83	1	no	—
1322	C₂³×C₄	—	166	1	no	—
1323	#137	—	332	2	no	—
1324	AGL(1,ℤ/8)	—	2	4	no	—
1325	AGL(1,ℤ/8)	—	2	4	no	—
1326	AGL(1,ℤ/8)	—	332	2	no	—
1327	AGL(1,ℤ/8)	—	166	4	no	—
1328	AGL(1,ℤ/8)	—	166	4	no	—
1329	AGL(1,ℤ/8)	—	166	4	no	—
1330	AGL(1,ℤ/8)	—	166	4	no	—
1331	AGL(1,ℤ/8)	—	166	4	no	—
1332	AGL(1,ℤ/8)	—	166	4	no	—
1333	AGL(1,ℤ/8)	—	166	4	no	—
1334	AGL(1,ℤ/8)	—	166	4	no	—
1335	AGL(1,ℤ/8)	—	166	4	no	—
1336	AGL(1,ℤ/8)	—	166	4	no	—
1337	AGL(1,ℤ/8)	—	166	4	no	—
1338	AGL(1,ℤ/8)	—	166	4	no	—
1339	#135	—	166	4	no	—
1340	#135	—	166	4	no	—
1341	#135	—	166	4	no	—
1342	C₂×Q₁₆	—	83	1	no	—
1343	C₂×Q₁₆	—	83	1	no	—
1344	C₂×Q₁₆	C₂²×D₈₃	1	1	yes	characteristic, complemented
1345	C₂×SD₁₆	—	83	1	no	—
1346	C₂×SD₁₆	—	83	1	no	—
1347	C₂×SD₁₆	—	83	1	no	—
1348	C₂×SD₁₆	—	83	1	no	—
1349	C₂×SD₁₆	—	83	1	no	—
1350	C₂×SD₁₆	—	83	1	no	—
1351	C₂×SD₁₆	—	83	1	no	—
1352	C₂×SD₁₆	—	83	1	no	—
1353	C₂×SD₁₆	—	83	1	no	—
1354	C₂×SD₁₆	—	83	1	no	—
1355	C₂×SD₁₆	—	83	1	no	—
1356	C₂×SD₁₆	—	83	1	no	—
1357	C₂×SD₁₆	—	83	1	no	—
1358	C₂×SD₁₆	—	83	1	no	—
1359	C₂×SD₁₆	—	166	4	no	—
1360	C₂×SD₁₆	—	166	4	no	—
1361	C₂×SD₁₆	C₂²×D₈₃	1	1	yes	characteristic
1362	C₂×SD₁₆	C₂²×D₈₃	1	1	yes	characteristic
1363	C₂×SD₁₆	C₂²×D₈₃	1	1	yes	characteristic, complemented
1364	C₂×SD₁₆	C₂²×D₈₃	1	1	yes	characteristic, complemented
1365	C₂×D₈	—	83	1	no	—
1366	C₂×D₈	—	83	1	no	—
1367	C₂×D₈	—	83	1	no	—
1368	C₂×D₈	—	83	8	no	—
1369	C₂×D₈	—	83	1	no	—
1370	C₂×D₈	—	83	1	no	—
1371	C₂×D₈	—	83	1	no	—
1372	C₂×D₈	—	83	1	no	—
1373	C₂×D₈	—	83	1	no	—
1374	C₂×D₈	—	83	1	no	—
1375	C₂×D₈	—	83	1	no	—
1376	C₂×D₈	—	83	1	no	—
1377	C₂×D₈	—	166	4	no	—
1378	C₂×D₈	—	166	4	no	—
1379	C₂×D₈	—	166	4	no	—
1380	C₂×D₈	C₂²×D₈₃	1	1	yes	characteristic
1381	C₂×D₈	C₂²×D₈₃	1	1	yes	characteristic
1382	C₂×D₈	C₂²×D₈₃	1	1	yes	characteristic
1383	C₂×D₈	C₂²×D₈₃	1	1	yes	characteristic
1384	#131	—	166	4	no	—
1385	C₂×M₁₆	—	83	1	no	—
1386	C₂×M₁₆	—	83	1	no	—
1387	C₂×M₁₆	—	83	1	no	—
1388	C₂×M₁₆	—	83	1	no	—
1389	C₂×M₁₆	—	83	1	no	—
1390	C₂×M₁₆	—	83	1	no	—
1391	C₂×M₁₆	—	166	4	no	—
1392	C₂×M₁₆	C₂²×D₈₃	1	1	yes	characteristic
1393	C₂×M₁₆	C₂²×D₈₃	1	1	yes	characteristic, complemented
1394	C₂²×C₈	—	83	1	no	—
1395	C₂²×C₈	—	83	1	no	—
1396	C₂²×C₈	—	83	1	no	—
1397	C₂²×C₈	—	83	1	no	—
1398	C₄⋊Q₈	—	83	1	no	—
1399	C₄⋊Q₈	—	83	1	no	—
1400	C₄⋊Q₈	—	166	1	no	—
1401	#127	—	83	1	no	—
1402	#127	—	83	1	no	—
1403	#127	—	166	1	no	—
1404	#124	—	83	1	no	—
1405	#124	—	83	1	no	—
1406	#124	—	166	1	no	—
1407	#124	—	166	1	no	—
1408	#124	C₂²×D₈₃	1	1	yes	characteristic
1409	#124	C₂²×D₈₃	1	1	yes	characteristic, complemented
1410	#123	—	2	1	no	—
1411	#123	—	2	1	no	—
1412	#123	—	83	1	no	—
1413	#123	—	83	1	no	—
1414	#123	—	166	1	no	—
1415	#123	—	166	1	no	—
1416	#123	—	166	1	no	—
1417	#123	—	166	1	no	—
1418	#123	—	166	1	no	—
1419	#123	—	166	1	no	—
1420	#123	—	166	1	no	—
1421	#123	—	166	1	no	—
1422	#123	—	166	1	no	—
1423	#123	—	166	1	no	—
1424	#123	—	166	1	no	—
1425	#123	—	166	1	no	—
1426	#123	—	166	1	no	—
1427	#123	—	166	1	no	—
1428	#123	—	166	1	no	—
1429	#123	—	166	1	no	—
1430	#123	—	166	1	no	—
1431	#123	—	166	1	no	—
1432	#123	—	166	1	no	—
1433	#123	—	166	1	no	—
1434	C₂²⋊Q₈	—	83	1	no	—
1435	C₂²⋊Q₈	—	83	1	no	—
1436	C₂²⋊Q₈	—	83	1	no	—
1437	C₂²⋊Q₈	—	83	1	no	—
1438	C₂²⋊Q₈	—	83	1	no	—
1439	C₂²⋊Q₈	—	83	1	no	—
1440	C₂²⋊Q₈	—	83	1	no	—
1441	C₂²⋊Q₈	—	83	1	no	—
1442	C₂²⋊Q₈	—	166	1	no	—
1443	C₂²⋊Q₈	—	166	1	no	—
1444	C₂²⋊Q₈	C₂²×D₈₃	1	1	yes	characteristic
1445	C₂²⋊Q₈	C₂²×D₈₃	1	1	yes	characteristic, complemented
1446	#121	—	2	1	no	—
1447	#121	—	2	1	no	—
1448	#121	—	83	1	no	—
1449	#121	—	83	1	no	—
1450	#121	—	83	1	no	—
1451	#121	—	83	1	no	—
1452	#121	—	83	1	no	—
1453	#121	—	83	1	no	—
1454	#121	—	83	1	no	—
1455	#121	—	83	1	no	—
1456	#121	—	166	1	no	—
1457	#121	—	166	1	no	—
1458	#121	—	166	1	no	—
1459	#121	—	166	1	no	—
1460	#121	—	166	1	no	—
1461	#121	—	166	1	no	—
1462	#121	—	166	1	no	—
1463	#121	—	166	1	no	—
1464	#121	—	166	1	no	—
1465	#121	—	166	1	no	—
1466	#121	—	166	1	no	—
1467	#121	—	166	1	no	—
1468	#121	—	166	1	no	—
1469	#121	—	166	1	no	—
1470	#121	—	166	1	no	—
1471	#121	—	166	1	no	—
1472	#121	C₂²×D₈₃	1	1	yes	characteristic
1473	#121	C₂²×D₈₃	1	1	yes	characteristic
1474	#120	—	2	1	no	—
1475	#120	—	2	1	no	—
1476	#120	—	83	1	no	—
1477	#120	—	83	1	no	—
1478	#120	—	166	1	no	—
1479	#120	—	166	1	no	—
1480	#120	—	166	1	no	—
1481	#120	—	166	1	no	—
1482	#120	—	166	1	no	—
1483	#120	—	166	1	no	—
1484	#120	—	166	1	no	—
1485	#120	—	166	1	no	—
1486	#120	—	166	1	no	—
1487	#120	—	166	1	no	—
1488	#120	—	166	1	no	—
1489	#120	—	166	1	no	—
1490	#120	—	166	1	no	—
1491	#120	—	166	1	no	—
1492	#120	—	166	1	no	—
1493	#120	—	166	1	no	—
1494	#120	—	166	1	no	—
1495	#120	—	166	1	no	—
1496	#120	—	166	1	no	—
1497	#120	—	166	1	no	—
1498	C₄×D₄	—	83	1	no	—
1499	C₄×D₄	—	83	1	no	—
1500	C₄×D₄	—	83	1	no	—
1501	C₄×D₄	—	83	1	no	—
1502	C₄×D₄	—	83	1	no	—
1503	C₄×D₄	—	83	1	no	—
1504	C₄×D₄	—	83	1	no	—
1505	C₄×D₄	—	83	1	no	—
1506	C₄×D₄	—	83	1	no	—
1507	C₄×D₄	—	166	1	no	—
1508	C₄×D₄	—	166	1	no	—
1509	C₄×D₄	—	166	1	no	—
1510	C₄×D₄	—	166	1	no	—
1511	C₄×D₄	—	166	1	no	—
1512	C₄×D₄	—	166	1	no	—
1513	C₄×D₄	—	166	1	no	—
1514	C₄×D₄	—	166	1	no	—
1515	C₄×D₄	C₂²×D₈₃	1	1	yes	characteristic
1516	C₄×D₄	C₂²×D₈₃	1	1	yes	characteristic
1517	C₄×D₄	C₂²×D₈₃	1	1	yes	characteristic, complemented
1518	#117	—	83	1	no	—
1519	#117	—	83	1	no	—
1520	#117	—	83	1	no	—
1521	C₂×C₄⋊C₄	—	166	1	no	—
1522	C₂×C₄⋊C₄	—	166	1	no	—
1523	C₂×C₄⋊C₄	—	166	1	no	—
1524	C₂×C₄⋊C₄	—	166	1	no	—
1525	C₂×C₂²⋊C₄	—	2	1	no	—
1526	C₂×C₂²⋊C₄	—	2	1	no	—
1527	C₂×C₂²⋊C₄	—	166	1	no	—
1528	C₂×C₂²⋊C₄	—	166	1	no	—
1529	C₂×C₂²⋊C₄	—	166	1	no	—
1530	C₂×C₂²⋊C₄	—	166	1	no	—
1531	C₂×C₂²⋊C₄	—	166	1	no	—
1532	C₂×C₂²⋊C₄	—	166	1	no	—
1533	C₂×C₂²⋊C₄	—	166	1	no	—
1534	C₂×C₂²⋊C₄	—	166	1	no	—
1535	C₂×C₂²⋊C₄	—	166	1	no	—
1536	C₂×C₂²⋊C₄	—	166	1	no	—
1537	#107	—	83	1	no	—
1538	#107	C₂²×D₈₃	1	1	yes	characteristic, complemented
1539	#106	—	83	1	no	—
1540	#106	—	83	1	no	—
1541	C₄⋊C₈	—	83	1	no	—
1542	C₄⋊C₈	—	83	1	no	—
1543	C₄⋊C₈	—	83	1	no	—
1544	C₄⋊C₈	C₂²×D₈₃	1	1	yes	characteristic, complemented
1545	#103	—	83	1	no	—
1546	#103	—	83	1	no	—
1547	#103	—	83	1	no	—
1548	#103	—	83	1	no	—
1549	#103	—	83	1	no	—
1550	#103	—	83	1	no	—
1551	#103	C₂²×D₈₃	1	1	yes	characteristic, complemented
1552	#103	C₂²×D₈₃	1	1	yes	characteristic, complemented
1553	#102	—	83	1	no	—
1554	#102	—	83	1	no	—
1555	#102	—	83	1	no	—
1556	#102	—	83	1	no	—
1557	#102	—	83	1	no	—
1558	#102	—	83	1	no	—
1559	#102	—	83	1	no	—
1560	#102	—	83	1	no	—
1561	#102	—	83	1	no	—
1562	#102	—	83	1	no	—
1563	#102	—	83	1	no	—
1564	#102	—	83	1	no	—
1565	#102	C₂²×D₈₃	1	1	yes	characteristic
1566	#102	C₂²×D₈₃	1	1	yes	characteristic
1567	#102	C₂²×D₈₃	1	1	yes	characteristic, complemented
1568	#102	C₂²×D₈₃	1	1	yes	characteristic, complemented
1569	C₂²⋊C₈	—	83	1	no	—
1570	C₂²⋊C₈	—	83	1	no	—
1571	C₂²⋊C₈	—	83	1	no	—
1572	C₂²⋊C₈	—	83	1	no	—
1573	C₂²⋊C₈	—	83	1	no	—
1574	C₂²⋊C₈	—	83	1	no	—
1575	C₂²⋊C₈	C₂²×D₈₃	1	1	yes	characteristic
1576	C₂²⋊C₈	C₂²×D₈₃	1	1	yes	characteristic, complemented
1577	#97	—	83	1	no	—
1578	#97	—	83	1	no	—
1579	C₄×C₈	—	83	1	no	—
1580	C₄×C₈	C₂²×D₈₃	1	1	yes	characteristic, complemented
1581	C₂⁴	—	2	1	no	—
1582	C₂⁴	—	2	1	no	—
1583	C₂⁴	—	332	4	no	—
1584	C₂⁴	—	83	1	no	—
1585	C₂⁴	—	664	2	no	—
1586	C₂⁴	—	664	2	no	—
1587	C₂⁴	—	166	1	no	—
1588	C₂⁴	—	166	1	no	—
1589	C₂⁴	—	166	1	no	—
1590	C₂⁴	—	166	1	no	—
1591	C₂⁴	—	166	1	no	—
1592	C₂⁴	—	166	1	no	—
1593	C₂⁴	—	166	1	no	—
1594	C₂⁴	—	166	1	no	—
1595	C₂⁴	—	166	1	no	—
1596	#41	—	2	2	no	—
1597	#41	—	2	2	no	—
1598	#41	—	4	1	no	—
1599	#41	—	4	1	no	—
1600	#41	—	332	1	no	—
1601	#41	—	332	1	no	—
1602	#41	—	332	4	no	—
1603	#41	—	332	4	no	—
1604	#41	—	332	4	no	—
1605	#41	—	332	1	no	—
1606	#41	—	332	1	no	—
1607	#41	—	332	4	no	—
1608	#41	—	332	1	no	—
1609	#41	—	332	1	no	—
1610	#41	—	166	2	no	—
1611	#41	—	166	2	no	—
1612	#41	—	166	2	no	—
1613	#41	—	166	2	no	—
1614	#41	—	166	2	no	—
1615	#41	—	166	2	no	—
1616	#41	—	166	2	no	—
1617	#41	—	166	2	no	—
1618	#41	—	166	2	no	—
1619	#41	—	166	2	no	—
1620	#41	—	166	2	no	—
1621	#41	—	166	2	no	—
1622	C₂×Q₈	—	83	1	no	—
1623	C₂×Q₈	—	83	1	no	—
1624	C₂×Q₈	—	83	1	no	—
1625	C₂×Q₈	—	166	1	no	—
1626	C₂×Q₈	—	166	2	no	—
1627	C₂×Q₈	—	166	2	no	—
1628	C₂×Q₈	C₂³×D₈₃	1	1	yes	characteristic
1629	C₂×Q₈	C₂³×D₈₃	1	1	yes	characteristic
1630	C₂×D₄	—	2	2	no	—
1631	C₂×D₄	—	2	2	no	—
1632	C₂×D₄	—	2	1	no	—
1633	C₂×D₄	—	2	1	no	—
1634	C₂×D₄	—	2	1	no	—
1635	C₂×D₄	—	2	1	no	—
1636	C₂×D₄	—	2	1	no	—
1637	C₂×D₄	—	2	1	no	—
1638	C₂×D₄	—	4	1	no	—
1639	C₂×D₄	—	4	1	no	—
1640	C₂×D₄	—	332	1	no	—
1641	C₂×D₄	—	332	1	no	—
1642	C₂×D₄	—	332	4	no	—
1643	C₂×D₄	—	332	4	no	—
1644	C₂×D₄	—	332	4	no	—
1645	C₂×D₄	—	332	4	no	—
1646	C₂×D₄	—	332	4	no	—
1647	C₂×D₄	—	332	4	no	—
1648	C₂×D₄	—	332	4	no	—
1649	C₂×D₄	—	332	1	no	—
1650	C₂×D₄	—	332	1	no	—
1651	C₂×D₄	—	332	1	no	—
1652	C₂×D₄	—	332	1	no	—
1653	C₂×D₄	—	332	4	no	—
1654	C₂×D₄	—	332	4	no	—
1655	C₂×D₄	—	332	4	no	—
1656	C₂×D₄	—	83	1	no	—
1657	C₂×D₄	—	83	1	no	—
1658	C₂×D₄	—	83	4	no	—
1659	C₂×D₄	—	83	4	no	—
1660	C₂×D₄	—	83	1	no	—
1661	C₂×D₄	—	83	1	no	—
1662	C₂×D₄	—	83	1	no	—
1663	C₂×D₄	—	83	1	no	—
1664	C₂×D₄	—	83	1	no	—
1665	C₂×D₄	—	83	1	no	—
1666	C₂×D₄	—	83	1	no	—
1667	C₂×D₄	—	83	1	no	—
1668	C₂×D₄	—	664	2	no	—
1669	C₂×D₄	—	664	2	no	—
1670	C₂×D₄	—	664	2	no	—
1671	C₂×D₄	—	664	2	no	—
1672	C₂×D₄	—	166	1	no	—
1673	C₂×D₄	—	166	1	no	—
1674	C₂×D₄	—	166	1	no	—
1675	C₂×D₄	—	166	1	no	—
1676	C₂×D₄	—	166	2	no	—
1677	C₂×D₄	—	166	2	no	—
1678	C₂×D₄	—	166	1	no	—
1679	C₂×D₄	—	166	2	no	—
1680	C₂×D₄	—	166	2	no	—
1681	C₂×D₄	—	166	2	no	—
1682	C₂×D₄	—	166	2	no	—
1683	C₂×D₄	—	166	1	no	—
1684	C₂×D₄	—	166	1	no	—
1685	C₂×D₄	—	166	1	no	—
1686	C₂×D₄	—	166	1	no	—
1687	C₂×D₄	—	166	1	no	—
1688	C₂×D₄	—	166	1	no	—
1689	C₂×D₄	—	166	1	no	—
1690	C₂×D₄	—	166	1	no	—
1691	C₂×D₄	—	166	1	no	—
1692	C₂×D₄	—	166	2	no	—
1693	C₂×D₄	—	166	2	no	—
1694	C₂×D₄	—	166	1	no	—
1695	C₂×D₄	—	166	1	no	—
1696	C₂×D₄	—	166	1	no	—
1697	C₂×D₄	—	166	1	no	—
1698	C₂×D₄	—	166	1	no	—
1699	C₂×D₄	—	166	1	no	—
1700	C₂×D₄	—	166	2	no	—
1701	C₂×D₄	—	166	2	no	—
1702	C₂×D₄	—	166	1	no	—
1703	C₂×D₄	—	166	1	no	—
1704	C₂×D₄	—	166	1	no	—
1705	C₂×D₄	—	166	1	no	—
1706	C₂×D₄	—	166	1	no	—
1707	C₂×D₄	—	166	1	no	—
1708	C₂×D₄	—	166	1	no	—
1709	C₂×D₄	D₄×D₈₃	1	1	yes	characteristic
1710	C₂×D₄	C₂³×D₈₃	1	1	yes	characteristic
1711	C₂×D₄	C₂³×D₈₃	1	1	yes	characteristic
1712	C₂×D₄	C₂³×D₈₃	1	1	yes	characteristic
1713	C₂×D₄	C₂³×D₈₃	1	1	yes	characteristic
1714	C₂²×C₄	—	2	1	no	—
1715	C₂²×C₄	—	2	1	no	—
1716	C₂²×C₄	—	2	1	no	—
1717	C₂²×C₄	—	2	1	no	—
1718	C₂²×C₄	—	332	4	no	—
1719	C₂²×C₄	—	83	1	no	—
1720	C₂²×C₄	—	83	1	no	—
1721	C₂²×C₄	—	83	1	no	—
1722	C₂²×C₄	—	83	1	no	—
1723	C₂²×C₄	—	83	1	no	—
1724	C₂²×C₄	—	83	1	no	—
1725	C₂²×C₄	—	166	1	no	—
1726	C₂²×C₄	—	166	1	no	—
1727	C₂²×C₄	—	166	1	no	—
1728	C₂²×C₄	—	166	1	no	—
1729	C₂²×C₄	—	166	1	no	—
1730	C₂²×C₄	—	166	1	no	—
1731	C₂²×C₄	—	166	2	no	—
1732	C₂²×C₄	—	166	2	no	—
1733	C₂²×C₄	—	166	1	no	—
1734	C₂²×C₄	—	166	1	no	—
1735	C₂²×C₄	—	166	1	no	—
1736	C₂²×C₄	—	166	1	no	—
1737	C₂²×C₄	—	166	1	no	—
1738	C₂²×C₄	—	166	1	no	—
1739	C₂²×C₄	—	166	1	no	—
1740	C₂²×C₄	—	166	1	no	—
1741	C₂²×C₄	—	166	1	no	—
1742	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1743	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1744	Q₁₆	—	4	1	no	—
1745	Q₁₆	—	332	1	no	—
1746	Q₁₆	—	166	2	no	—
1747	SD₁₆	—	2	2	no	—
1748	SD₁₆	—	2	2	no	—
1749	SD₁₆	—	2	2	no	—
1750	SD₁₆	—	2	2	no	—
1751	SD₁₆	—	332	1	no	—
1752	SD₁₆	—	332	1	no	—
1753	SD₁₆	—	332	1	no	—
1754	SD₁₆	—	332	1	no	—
1755	SD₁₆	—	166	2	no	—
1756	SD₁₆	—	166	2	no	—
1757	SD₁₆	—	166	2	no	—
1758	SD₁₆	—	166	2	no	—
1759	SD₁₆	—	166	2	no	—
1760	SD₁₆	—	166	2	no	—
1761	SD₁₆	—	166	2	no	—
1762	SD₁₆	—	166	2	no	—
1763	SD₁₆	—	166	2	no	—
1764	SD₁₆	—	166	2	no	—
1765	D₈	—	2	2	no	—
1766	D₈	—	2	2	no	—
1767	D₈	—	4	1	no	—
1768	D₈	—	332	1	no	—
1769	D₈	—	83	4	no	—
1770	D₈	—	83	4	no	—
1771	D₈	—	83	4	no	—
1772	D₈	—	166	2	no	—
1773	D₈	—	166	2	no	—
1774	D₈	—	166	2	no	—
1775	D₈	—	166	2	no	—
1776	D₈	—	166	2	no	—
1777	D₈	—	166	2	no	—
1778	D₈	—	166	2	no	—
1779	D₈	D₄×D₈₃	1	4	yes	complemented
1780	M₁₆	—	2	2	no	—
1781	M₁₆	—	2	2	no	—
1782	M₁₆	—	166	2	no	—
1783	M₁₆	—	166	2	no	—
1784	M₁₆	—	166	2	no	—
1785	M₁₆	—	166	2	no	—
1786	M₁₆	—	166	2	no	—
1787	M₁₆	—	166	2	no	—
1788	C₂×C₈	—	83	1	no	—
1789	C₂×C₈	—	83	4	no	—
1790	C₂×C₈	—	83	1	no	—
1791	C₂×C₈	—	83	1	no	—
1792	C₂×C₈	—	83	1	no	—
1793	C₂×C₈	—	166	2	no	—
1794	C₂×C₈	—	166	2	no	—
1795	C₂×C₈	—	166	2	no	—
1796	C₂×C₈	C₂³×D₈₃	1	1	yes	characteristic
1797	C₂×C₈	C₂³×D₈₃	1	1	yes	characteristic
1798	C₂×C₈	C₂³×D₈₃	1	1	yes	characteristic
1799	C₂×C₈	C₂³×D₈₃	1	1	yes	characteristic
1800	C₄⋊C₄	—	2	1	no	—
1801	C₄⋊C₄	—	2	1	no	—
1802	C₄⋊C₄	—	83	1	no	—
1803	C₄⋊C₄	—	83	1	no	—
1804	C₄⋊C₄	—	83	1	no	—
1805	C₄⋊C₄	—	83	1	no	—
1806	C₄⋊C₄	—	83	1	no	—
1807	C₄⋊C₄	—	83	1	no	—
1808	C₄⋊C₄	—	83	1	no	—
1809	C₄⋊C₄	—	166	1	no	—
1810	C₄⋊C₄	—	166	1	no	—
1811	C₄⋊C₄	—	166	1	no	—
1812	C₄⋊C₄	—	166	1	no	—
1813	C₄⋊C₄	—	166	1	no	—
1814	C₄⋊C₄	—	166	1	no	—
1815	C₄⋊C₄	—	166	1	no	—
1816	C₄⋊C₄	—	166	1	no	—
1817	C₄⋊C₄	—	166	1	no	—
1818	C₄⋊C₄	—	166	1	no	—
1819	C₄⋊C₄	D₄×D₈₃	1	1	yes	characteristic
1820	C₄⋊C₄	C₂³×D₈₃	1	1	yes	characteristic
1821	C₄⋊C₄	C₂³×D₈₃	1	1	yes	characteristic
1822	C₂²⋊C₄	—	2	1	no	—
1823	C₂²⋊C₄	—	2	1	no	—
1824	C₂²⋊C₄	—	2	1	no	—
1825	C₂²⋊C₄	—	2	1	no	—
1826	C₂²⋊C₄	—	2	1	no	—
1827	C₂²⋊C₄	—	2	1	no	—
1828	C₂²⋊C₄	—	2	1	no	—
1829	C₂²⋊C₄	—	2	1	no	—
1830	C₂²⋊C₄	—	2	1	no	—
1831	C₂²⋊C₄	—	2	1	no	—
1832	C₂²⋊C₄	—	83	1	no	—
1833	C₂²⋊C₄	—	83	1	no	—
1834	C₂²⋊C₄	—	83	1	no	—
1835	C₂²⋊C₄	—	83	1	no	—
1836	C₂²⋊C₄	—	83	1	no	—
1837	C₂²⋊C₄	—	83	1	no	—
1838	C₂²⋊C₄	—	83	1	no	—
1839	C₂²⋊C₄	—	83	1	no	—
1840	C₂²⋊C₄	—	166	1	no	—
1841	C₂²⋊C₄	—	166	1	no	—
1842	C₂²⋊C₄	—	166	1	no	—
1843	C₂²⋊C₄	—	166	1	no	—
1844	C₂²⋊C₄	—	166	1	no	—
1845	C₂²⋊C₄	—	166	1	no	—
1846	C₂²⋊C₄	—	166	1	no	—
1847	C₂²⋊C₄	—	166	1	no	—
1848	C₂²⋊C₄	—	166	1	no	—
1849	C₂²⋊C₄	—	166	1	no	—
1850	C₂²⋊C₄	—	166	1	no	—
1851	C₂²⋊C₄	—	166	1	no	—
1852	C₂²⋊C₄	—	166	1	no	—
1853	C₂²⋊C₄	—	166	1	no	—
1854	C₂²⋊C₄	—	166	1	no	—
1855	C₂²⋊C₄	—	166	1	no	—
1856	C₂²⋊C₄	—	166	1	no	—
1857	C₂²⋊C₄	—	166	1	no	—
1858	C₂²⋊C₄	—	166	1	no	—
1859	C₂²⋊C₄	—	166	1	no	—
1860	C₂²⋊C₄	—	166	1	no	—
1861	C₂²⋊C₄	—	166	1	no	—
1862	C₂²⋊C₄	—	166	1	no	—
1863	C₂²⋊C₄	—	166	1	no	—
1864	C₂²⋊C₄	D₄×D₈₃	1	1	yes	characteristic
1865	C₂²⋊C₄	D₄×D₈₃	1	1	yes	characteristic
1866	C₄²	—	83	1	no	—
1867	C₄²	—	166	1	no	—
1868	C₄²	—	166	1	no	—
1869	C₄²	C₂³×D₈₃	1	1	yes	characteristic
1870	C₂³	—	2	1	no	—
1871	C₂³	—	2	1	no	—
1872	C₂³	—	2	1	no	—
1873	C₂³	—	2	1	no	—
1874	C₂³	—	4	2	no	—
1875	C₂³	—	4	2	no	—
1876	C₂³	—	4	2	no	—
1877	C₂³	—	8	1	no	—
1878	C₂³	—	8	1	no	—
1879	C₂³	—	8	1	no	—
1880	C₂³	—	332	2	no	—
1881	C₂³	—	332	2	no	—
1882	C₂³	—	332	1	no	—
1883	C₂³	—	332	1	no	—
1884	C₂³	—	332	2	no	—
1885	C₂³	—	332	2	no	—
1886	C₂³	—	332	2	no	—
1887	C₂³	—	332	2	no	—
1888	C₂³	—	332	2	no	—
1889	C₂³	—	332	2	no	—
1890	C₂³	—	332	2	no	—
1891	C₂³	—	332	2	no	—
1892	C₂³	—	83	1	no	—
1893	C₂³	—	83	1	no	—
1894	C₂³	—	83	1	no	—
1895	C₂³	—	664	1	no	—
1896	C₂³	—	664	1	no	—
1897	C₂³	—	664	1	no	—
1898	C₂³	—	664	1	no	—
1899	C₂³	—	664	1	no	—
1900	C₂³	—	664	1	no	—
1901	C₂³	—	664	1	no	—
1902	C₂³	—	664	1	no	—
1903	C₂³	—	664	1	no	—
1904	C₂³	—	664	1	no	—
1905	C₂³	—	664	1	no	—
1906	C₂³	—	664	1	no	—
1907	C₂³	—	664	1	no	—
1908	C₂³	—	664	1	no	—
1909	C₂³	—	664	1	no	—
1910	C₂³	—	664	16	no	—
1911	C₂³	—	166	2	no	—
1912	C₂³	—	166	4	no	—
1913	C₂³	—	166	4	no	—
1914	C₂³	—	166	1	no	—
1915	C₂³	—	166	1	no	—
1916	C₂³	—	166	1	no	—
1917	C₂³	—	166	1	no	—
1918	C₂³	C₂×D₄×D₈₃	1	1	yes	characteristic
1919	C₂³	C₂×D₄×D₈₃	1	1	yes	characteristic
1920	Q₈	—	2	1	no	—
1921	Q₈	—	2	1	no	—
1922	Q₈	—	2	1	no	—
1923	Q₈	—	2	1	no	—
1924	Q₈	—	332	2	no	—
1925	Q₈	—	166	2	no	—
1926	Q₈	—	166	1	no	—
1927	Q₈	—	166	1	no	—
1928	Q₈	—	166	1	no	—
1929	Q₈	—	166	1	no	—
1930	D₄	—	2	1	no	—
1931	D₄	—	2	1	no	—
1932	D₄	—	2	1	no	—
1933	D₄	—	2	1	no	—
1934	D₄	—	2	1	no	—
1935	D₄	—	2	1	no	—
1936	D₄	—	4	1	no	—
1937	D₄	—	4	2	no	—
1938	D₄	—	4	2	no	—
1939	D₄	—	4	2	no	—
1940	D₄	—	4	2	no	—
1941	D₄	—	8	1	no	—
1942	D₄	—	8	1	no	—
1943	D₄	—	332	2	no	—
1944	D₄	—	332	2	no	—
1945	D₄	—	332	1	no	—
1946	D₄	—	332	2	no	—
1947	D₄	—	332	2	no	—
1948	D₄	—	332	2	no	—
1949	D₄	—	332	2	no	—
1950	D₄	—	332	2	no	—
1951	D₄	—	332	2	no	—
1952	D₄	—	332	2	no	—
1953	D₄	—	332	2	no	—
1954	D₄	—	332	2	no	—
1955	D₄	—	332	2	no	—
1956	D₄	—	332	2	no	—
1957	D₄	—	332	2	no	—
1958	D₄	—	332	2	no	—
1959	D₄	—	332	1	no	—
1960	D₄	—	332	1	no	—
1961	D₄	—	332	2	no	—
1962	D₄	—	332	2	no	—
1963	D₄	—	83	2	no	—
1964	D₄	—	83	2	no	—
1965	D₄	—	664	1	no	—
1966	D₄	—	664	1	no	—
1967	D₄	—	664	1	no	—
1968	D₄	—	664	1	no	—
1969	D₄	—	664	1	no	—
1970	D₄	—	664	1	no	—
1971	D₄	—	664	1	no	—
1972	D₄	—	664	1	no	—
1973	D₄	—	166	2	no	—
1974	D₄	—	166	2	no	—
1975	D₄	—	166	4	no	—
1976	D₄	—	166	4	no	—
1977	D₄	—	166	2	no	—
1978	D₄	—	166	1	no	—
1979	D₄	—	166	1	no	—
1980	D₄	—	166	1	no	—
1981	D₄	—	166	1	no	—
1982	D₄	—	166	1	no	—
1983	D₄	—	166	1	no	—
1984	D₄	C₂×D₄×D₈₃	1	2	yes	—
1985	D₄	C₂×D₄×D₈₃	1	2	yes	—
1986	C₂×C₄	—	2	1	no	—
1987	C₂×C₄	—	2	1	no	—
1988	C₂×C₄	—	2	1	no	—
1989	C₂×C₄	—	2	1	no	—
1990	C₂×C₄	—	2	1	no	—
1991	C₂×C₄	—	2	1	no	—
1992	C₂×C₄	—	2	1	no	—
1993	C₂×C₄	—	2	1	no	—
1994	C₂×C₄	—	4	2	no	—
1995	C₂×C₄	—	4	2	no	—
1996	C₂×C₄	—	8	1	no	—
1997	C₂×C₄	—	8	1	no	—
1998	C₂×C₄	—	332	2	no	—
1999	C₂×C₄	—	332	2	no	—
2000	C₂×C₄	—	332	2	no	—
2001	C₂×C₄	—	332	2	no	—
2002	C₂×C₄	—	332	2	no	—
2003	C₂×C₄	—	332	2	no	—
2004	C₂×C₄	—	332	2	no	—
2005	C₂×C₄	—	332	2	no	—
2006	C₂×C₄	—	332	2	no	—
2007	C₂×C₄	—	83	1	no	—
2008	C₂×C₄	—	83	2	no	—
2009	C₂×C₄	—	83	2	no	—
2010	C₂×C₄	—	83	1	no	—
2011	C₂×C₄	—	83	1	no	—
2012	C₂×C₄	—	83	1	no	—
2013	C₂×C₄	—	83	1	no	—
2014	C₂×C₄	—	664	1	no	—
2015	C₂×C₄	—	664	1	no	—
2016	C₂×C₄	—	664	1	no	—
2017	C₂×C₄	—	664	1	no	—
2018	C₂×C₄	—	664	1	no	—
2019	C₂×C₄	—	664	1	no	—
2020	C₂×C₄	—	166	2	no	—
2021	C₂×C₄	—	166	2	no	—
2022	C₂×C₄	—	166	1	no	—
2023	C₂×C₄	—	166	1	no	—
2024	C₂×C₄	—	166	1	no	—
2025	C₂×C₄	—	166	1	no	—
2026	C₂×C₄	—	166	2	no	—
2027	C₂×C₄	—	166	1	no	—
2028	C₂×C₄	—	166	1	no	—
2029	C₂×C₄	—	166	1	no	—
2030	C₂×C₄	—	166	1	no	—
2031	C₂×C₄	C₂×D₄×D₈₃	1	1	yes	characteristic
2032	C₂×C₄	C₂×D₄×D₈₃	1	1	yes	characteristic
2033	C₂×C₄	C₂×D₄×D₈₃	1	1	yes	characteristic
2034	C₂×C₄	C₂×D₄×D₈₃	1	1	yes	characteristic
2035	C₂×C₄	C₂⁴×D₈₃	1	1	yes	characteristic
2036	C₈	—	2	1	no	—
2037	C₈	—	2	1	no	—
2038	C₈	—	2	1	no	—
2039	C₈	—	83	2	no	—
2040	C₈	—	166	1	no	—
2041	C₈	—	166	1	no	—
2042	C₈	—	166	1	no	—
2043	C₈	C₂×D₄×D₈₃	1	2	yes	—
2044	C₂²	—	2	1	no	—
2045	C₂²	—	2	1	no	—
2046	C₂²	—	2	2	no	—
2047	C₂²	—	2	2	no	—
2048	C₂²	—	2	1	no	—
2049	C₂²	—	2	1	no	—
2050	C₂²	—	2	1	no	—
2051	C₂²	—	2	1	no	—
2052	C₂²	—	4	1	no	—
2053	C₂²	—	4	1	no	—
2054	C₂²	—	4	1	no	—
2055	C₂²	—	4	1	no	—
2056	C₂²	—	4	1	no	—
2057	C₂²	—	4	1	no	—
2058	C₂²	—	4	1	no	—
2059	C₂²	—	4	1	no	—
2060	C₂²	—	4	1	no	—
2061	C₂²	—	4	1	no	—
2062	C₂²	—	8	4	no	—
2063	C₂²	—	16	2	no	—
2064	C₂²	—	1328	2	no	—
2065	C₂²	—	1328	2	no	—
2066	C₂²	—	1328	2	no	—
2067	C₂²	—	332	4	no	—
2068	C₂²	—	332	1	no	—
2069	C₂²	—	332	1	no	—
2070	C₂²	—	332	1	no	—
2071	C₂²	—	332	1	no	—
2072	C₂²	—	332	1	no	—
2073	C₂²	—	332	1	no	—
2074	C₂²	—	332	1	no	—
2075	C₂²	—	332	1	no	—
2076	C₂²	—	332	1	no	—
2077	C₂²	—	332	1	no	—
2078	C₂²	—	83	2	no	—
2079	C₂²	—	664	4	no	—
2080	C₂²	—	664	4	no	—
2081	C₂²	—	664	4	no	—
2082	C₂²	—	664	4	no	—
2083	C₂²	—	664	4	no	—
2084	C₂²	—	664	4	no	—
2085	C₂²	—	166	2	no	—
2086	C₂²	—	166	2	no	—
2087	C₂²	—	166	1	no	—
2088	C₂²	—	166	1	no	—
2089	C₂²	—	166	1	no	—
2090	C₂²	—	166	1	no	—
2091	C₂²	—	166	1	no	—
2092	C₂²	—	166	1	no	—
2093	C₂²	—	166	1	no	—
2094	C₂²	—	166	1	no	—
2095	C₂²	C₂²×D₄×D₈₃	1	1	yes	characteristic
2096	C₄	—	2	1	no	—
2097	C₄	—	2	1	no	—
2098	C₄	—	2	1	no	—
2099	C₄	—	2	1	no	—
2100	C₄	—	4	1	no	—
2101	C₄	—	4	1	no	—
2102	C₄	—	4	1	no	—
2103	C₄	—	4	1	no	—
2104	C₄	—	332	1	no	—
2105	C₄	—	332	1	no	—
2106	C₄	—	332	1	no	—
2107	C₄	—	332	1	no	—
2108	C₄	—	83	2	no	—
2109	C₄	—	166	1	no	—
2110	C₄	—	166	1	no	—
2111	C₄	—	166	1	no	—
2112	C₄	—	166	1	no	—
2113	C₄	C₂²×D₄×D₈₃	1	1	yes	characteristic
2114	C₄	H(5,𝔽₂)×D₈₃	1	1	yes	characteristic
2115	C₂	—	4	1	no	—
2116	C₂	—	4	1	no	—
2117	C₂	—	4	2	no	—
2118	C₂	—	4	2	no	—
2119	C₂	—	8	1	no	—
2120	C₂	—	8	1	no	—
2121	C₂	—	332	1	no	—
2122	C₂	—	332	2	no	—
2123	C₂	—	332	2	no	—
2124	C₂	—	332	1	no	—
2125	C₂	—	664	1	no	—
2126	C₂	—	664	1	no	—
2127	C₂	—	166	2	no	—
2128	C₂	D₄²×D₈₃	1	1	yes	characteristic
2129	C₂	#24922238	1	1	yes	characteristic
2130	C₂	#24922240	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₈₃
commutator, cosocle	C₂×C₄×C₈₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₈₃
Fitting	C₈₃×#3273	C₂
socle	C₂²×C₈₃	C₂³×D₄
hypercenter	#3273	D₈₃
hypocenter	C₈₃	#61058
LCS	G ▷ C₂×C₄×C₈₃ ▷ C₂×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3273

Complements

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

N	H ≅ G/N	type
1. C₂×#19128505	C₂	semidirect
2. C₂×AGL(1,ℤ/8)×D₈₃	C₂	semidirect
3. #24921100	C₂	semidirect
4. #24921093	C₂	semidirect
5. #24919072	C₂	semidirect
6. #24919071	C₂	semidirect
7. #24919068	C₂	semidirect
8. #24919065	C₂	semidirect
9. #24919064	C₂	semidirect
10. #24919060	C₂	semidirect
11. #24919057	C₂	semidirect
12. #24918992	C₂	semidirect
13. #24918991	C₂	semidirect
14. #24918984	C₂	semidirect
15. #24918983	C₂	semidirect
16. #24918949	C₂	semidirect
17. #24918944	C₂	semidirect
18. #24918941	C₂	semidirect
19. #24918936	C₂	semidirect
20. #24917934	C₂	semidirect
21. #24917100	C₂	semidirect
22. #24917067	C₂	semidirect
23. #24916973	C₂	semidirect
24. #24916964	C₂	semidirect
25. #24916737	C₂	semidirect
26. #24916726	C₂	semidirect
27. #24916706	C₂	semidirect
28. #24916687	C₂	semidirect
29. #24916310	C₂	semidirect
30. #24916163	C₂	semidirect
31. C₈₃×#3273	C₂	semidirect
33. C₂×#14581837	C₂²	semidirect
34. C₂×#41×D₈₃	C₂²	semidirect
35. C₂²×D₄×D₈₃	C₂²	semidirect
37. C₂×#14581824	C₂²	semidirect
38. C₂×#14581820	C₂²	semidirect
39. C₂×#14581820	C₂²	semidirect
40. C₂×#14581819	C₂²	semidirect
41. C₂×#14581819	C₂²	semidirect
42. C₂×#14581819	C₂²	semidirect
43. C₂×#14581819	C₂²	semidirect
44. C₂×#14581818	C₂²	semidirect
45. C₂×#14581817	C₂²	semidirect
47. C₂×#14581816	C₂²	semidirect
48. C₂×#14581816	C₂²	semidirect
49. C₂×#14581816	C₂²	semidirect
50. C₂×#14581816	C₂²	semidirect
52. C₂×#14581813	C₂²	semidirect
53. C₂×#14581813	C₂²	semidirect
54. C₂×#14581812	C₂²	semidirect
55. C₂×SD₁₆×D₈₃	C₂²	semidirect
56. C₂×SD₁₆×D₈₃	C₂²	semidirect
57. C₂²×#13050575	C₂²	semidirect
59. C₂×D₈×D₈₃	C₂²	semidirect
60. C₂×D₈×D₈₃	C₂²	semidirect
61. C₂×#14581800	C₂²	semidirect
62. C₂×M₁₆×D₈₃	C₂²	semidirect
63. #19128356	C₂²	semidirect
64. #19128355	C₂²	semidirect
65. #19128353	C₂²	semidirect
67. #19128350	C₂²	semidirect
69. #19128348	C₂²	semidirect
70. #19128345	C₂²	semidirect
71. #19128344	C₂²	semidirect
72. #19128344	C₂²	semidirect
74. #19128342	C₂²	semidirect
77. #19128339	C₂²	semidirect
79. D₄×D₃₃₂	C₂²	semidirect
80. D₄×D₃₃₂	C₂²	semidirect
82. #19128335	C₂²	semidirect
83. D₄×C₂²⋊D₈₃	C₂²	semidirect
85. #19128274	C₂²	semidirect
86. #19128271	C₂²	semidirect
87. #19128269	C₂²	semidirect
93. #19128214	C₂²	semidirect
94. #19128211	C₂²	semidirect
100. #19128173	C₂²	semidirect
101. #19128173	C₂²	semidirect
102. #19128096	C₂²	semidirect
103. #19128094	C₂²	semidirect
104. #19128091	C₂²	semidirect
105. #19128089	C₂²	semidirect
106. #19128082	C₂²	semidirect
107. #19128074	C₂²	semidirect
108. #19128072	C₂²	semidirect
109. #19127958	C₂²	semidirect
110. #19127957	C₂²	semidirect
111. #19127953	C₂²	semidirect
112. #19127952	C₂²	semidirect
113. #19127948	C₂²	semidirect
114. #19127948	C₂²	semidirect
115. #19127947	C₂²	semidirect
116. #19127947	C₂²	semidirect
117. #19127944	C₂²	semidirect
118. #19127944	C₂²	semidirect
119. #19127933	C₂²	semidirect
120. #19127932	C₂²	semidirect
121. #19127929	C₂²	semidirect
122. #19127928	C₂²	semidirect
123. #19127919	C₂²	semidirect
124. #19127918	C₂²	semidirect
125. #19127915	C₂²	semidirect
126. #19127914	C₂²	semidirect
127. #19127913	C₂²	semidirect
128. #19127913	C₂²	semidirect
129. #19127907	C₂²	semidirect
130. #19127906	C₂²	semidirect
131. #19127905	C₂²	semidirect
132. #19127904	C₂²	semidirect
133. #19127897	C₂²	semidirect
134. #19127896	C₂²	semidirect
135. #19127895	C₂²	semidirect
136. #19127894	C₂²	semidirect
137. #19127866	C₂²	semidirect
138. #19127863	C₂²	semidirect
139. #19127862	C₂²	semidirect
140. #19127862	C₂²	semidirect
141. #19127861	C₂²	semidirect
142. #19127860	C₂²	semidirect
143. #19127854	C₂²	semidirect
144. #19127854	C₂²	semidirect
145. #19127853	C₂²	semidirect
146. #19127853	C₂²	semidirect
147. #19127853	C₂²	semidirect
148. #19127852	C₂²	semidirect
149. #19127851	C₂²	semidirect
150. #19127850	C₂²	semidirect
151. #19127849	C₂²	semidirect
152. #19127848	C₂²	semidirect
153. #19127848	C₂²	semidirect
154. #19127847	C₂²	semidirect
155. #19127847	C₂²	semidirect
156. #19127846	C₂²	semidirect
157. #19127844	C₂²	semidirect
158. #19127843	C₂²	semidirect
159. #19127836	C₂²	semidirect
160. #19127835	C₂²	semidirect
161. #19127834	C₂²	semidirect
162. #19127833	C₂²	semidirect
163. #19127833	C₂²	semidirect
164. #19127833	C₂²	semidirect
165. #19127811	C₂²	semidirect
166. #19127811	C₂²	semidirect
167. #19127810	C₂²	semidirect
168. #19127810	C₂²	semidirect
169. C₄×D₆₆₄	C₂²	semidirect
170. D₈×Dic₈₃	C₂²	semidirect
171. #19127783	C₂²	semidirect
172. #19127780	C₂²	semidirect
173. #19127777	C₂²	semidirect
174. #19127777	C₂²	semidirect
175. #19127775	C₂²	semidirect
176. #19127773	C₂²	semidirect
177. #19127771	C₂²	semidirect
178. #19127769	C₂²	semidirect
179. #19127738	C₂²	semidirect
180. #19127726	C₂²	semidirect
181. #19127708	C₂²	semidirect
182. #19127704	C₂²	semidirect
183. #19127704	C₂²	semidirect
184. #19127704	C₂²	semidirect
185. #19127696	C₂²	semidirect
186. #19127694	C₂²	semidirect
187. #19127666	C₂²	semidirect
188. #19127663	C₂²	semidirect
189. #19127655	C₂²	semidirect
190. C₂×AGL(1,ℤ/8)×C₈₃	C₂²	semidirect
191. C₂×AGL(1,ℤ/8)×C₈₃	C₂²	semidirect
192. #546×C₈₃	C₂²	semidirect
193. #546×C₈₃	C₂²	semidirect
194. #495×C₈₃	C₂²	semidirect
195. #468×C₈₃	C₂²	semidirect
196. #468×C₈₃	C₂²	semidirect
197. #463×C₈₃	C₂²	semidirect
198. #463×C₈₃	C₂²	semidirect
199. #452×C₈₃	C₂²	semidirect
200. #452×C₈₃	C₂²	semidirect
201. #447×C₈₃	C₂²	semidirect
202. #447×C₈₃	C₂²	semidirect
203. C₄×D₈×C₈₃	C₂²	semidirect
204. #436×C₈₃	C₂²	semidirect
217. C₂×#13050590	C₂³	semidirect
222. C₂×#13050589	C₂³	semidirect
250. C₂×D₄×D₈₃	C₂³	semidirect
270. C₂×#13050580	C₂³	semidirect
271. C₂×#13050580	C₂³	semidirect
276. C₂×#13050579	C₂³	semidirect
277. C₂×#13050579	C₂³	semidirect
284. C₂×#13050577	C₂³	semidirect
285. C₂×#13050577	C₂³	semidirect
290. C₂×D₆₆₄	C₂³	semidirect
298. C₂×#13050575	C₂³	semidirect
299. C₂×#13050575	C₂³	semidirect
302. D₈×D₈₃	D₄	semidirect
309. C₂×#13050573	C₂³	semidirect
311. C₂²×C₈₃⋊C₈	C₂³	semidirect
314. C₂×C₈×D₈₃	C₂³	semidirect
315. #14581792	C₂³	semidirect
317. #14581790	C₂³	semidirect
322. #14581779	C₂³	semidirect
348. #14581772	C₂³	semidirect
350. #14581771	C₂³	semidirect
356. #14581768	C₂³	semidirect
405. C₄×D₃₃₂	C₂³	semidirect
408. D₄×Dic₈₃	C₂³	semidirect
411. #14581754	C₂³	semidirect
437. #14581726	C₂³	semidirect
438. #14581723	C₂³	semidirect
439. #14581723	C₂³	semidirect
440. C₄⋊(C₈₃⋊C₈)	C₂³	semidirect
441. Dic₈₃⋊C₈	C₂³	semidirect
442. Dic₈₃⋊C₈	C₂³	semidirect
443. #14581717	C₂³	semidirect
444. #14581717	C₂³	semidirect
445. #14581716	C₂³	semidirect
446. #14581716	C₂³	semidirect
447. #14581715	C₂³	semidirect
448. #14581715	C₂³	semidirect
451. #14581714	C₂³	semidirect
452. #14581714	C₂³	semidirect
455. #14581713	C₂³	semidirect
456. #14581713	C₂³	semidirect
459. #14581712	C₂³	semidirect
460. #14581712	C₂³	semidirect
462. C₂²⋊(C₈₃⋊C₈)	C₂³	semidirect
465. (C₂×D₈₃)⋊C₈	C₂³	semidirect
466. (C₂×D₈₃)⋊C₈	C₂³	semidirect
467. #14581703	C₂³	semidirect
468. #14581702	C₂³	semidirect
469. C₈×Dic₈₃	C₂³	semidirect
473. C₂²×D₄×C₈₃	C₂³	semidirect
476. C₂×Q₁₆×C₈₃	C₂³	semidirect
479. C₂×SD₁₆×C₈₃	C₂³	semidirect
480. C₂×SD₁₆×C₈₃	C₂³	semidirect
486. C₂×M₁₆×C₈₃	C₂³	semidirect
488. #124×C₈₃	C₂³	semidirect
492. C₂²⋊Q₈×C₈₃	C₂³	semidirect
501. C₄×D₄×C₈₃	C₂³	semidirect
504. #107×C₈₃	C₂³	semidirect
505. C₄⋊C₈×C₈₃	C₂³	semidirect
506. #103×C₈₃	C₂³	semidirect
507. #103×C₈₃	C₂³	semidirect
510. #102×C₈₃	C₂³	semidirect
511. #102×C₈₃	C₂³	semidirect
513. C₂²⋊C₈×C₈₃	C₂³	semidirect
514. C₄×C₈×C₈₃	C₂³	semidirect
624. D₄×D₈₃	C₂×D₄	semidirect
667. D₆₆₄	C₂×D₄	semidirect
674. #13050575	C₂×D₄	semidirect
675. #13050575	C₂×D₄	semidirect
689. C₈×D₈₃	C₂×D₄	semidirect
779. D₈×C₈₃	C₂×D₄	semidirect
1073. #3273	D₈₃	semidirect
1097. C₈₃	#61058	semidirect
1118. C₂×AGL(1,ℤ/8)	C₂×D₈₃	semidirect
1119. C₂×AGL(1,ℤ/8)	C₂×D₈₃	semidirect
1147. #546	C₂×D₈₃	semidirect
1148. #546	C₂×D₈₃	semidirect
1177. #495	C₂×D₈₃	semidirect
1190. #468	C₂×D₈₃	semidirect
1191. #468	C₂×D₈₃	semidirect
1202. #463	C₂×D₈₃	semidirect
1203. #463	C₂×D₈₃	semidirect
1218. #452	C₂×D₈₃	semidirect
1219. #452	C₂×D₈₃	semidirect
1242. #447	C₂×D₈₃	semidirect
1243. #447	C₂×D₈₃	semidirect
1251. C₄×D₈	C₂×D₈₃	semidirect
1255. #436	C₂×D₈₃	semidirect
1320. C₂²×D₄	C₂²×D₈₃	semidirect
1344. C₂×Q₁₆	C₂²×D₈₃	semidirect
1363. C₂×SD₁₆	C₂²×D₈₃	semidirect
1364. C₂×SD₁₆	C₂²×D₈₃	semidirect
1393. C₂×M₁₆	C₂²×D₈₃	semidirect
1409. #124	C₂²×D₈₃	semidirect
1445. C₂²⋊Q₈	C₂²×D₈₃	semidirect
1517. C₄×D₄	C₂²×D₈₃	semidirect
1538. #107	C₂²×D₈₃	semidirect
1544. C₄⋊C₈	C₂²×D₈₃	semidirect
1551. #103	C₂²×D₈₃	semidirect
1552. #103	C₂²×D₈₃	semidirect
1567. #102	C₂²×D₈₃	semidirect
1568. #102	C₂²×D₈₃	semidirect
1576. C₂²⋊C₈	C₂²×D₈₃	semidirect
1580. C₄×C₈	C₂²×D₈₃	semidirect
1779. D₈	D₄×D₈₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19128505	2
C₂×AGL(1,ℤ/8)×D₈₃	2
#24921100	2
#24921093	2
#24919072	2
#24919071	2
#24919068	2
#24919065	2
#24919064	2
#24919060	2
#24919057	2
#24918992	2
#24918991	2
#24918984	2
#24918983	2
#24918949	2
#24918944	2
#24918941	2
#24918936	2
#24917934	2
#24917100	2
#24917067	2
#24916973	2
#24916964	2
#24916737	2
#24916726	2
#24916706	2
#24916687	2
#24916310	2
#24916163	2
C₈₃×#3273	2
#61058	83