Subgroups — C₈₃×#62829 #35290653

Order 21248.

6636 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₃×#3566	C₂	1	8	yes	maximal, complemented
2	C₈₃×#3564	C₂	1	4	yes	maximal, complemented
3	C₈₃×#3560	C₂	1	4	yes	maximal, complemented
4	C₈₃×#3557	C₂	1	2	yes	maximal, complemented
5	C₈₃×#3551	C₂	1	2	yes	maximal, complemented
6	C₈₃×#3538	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₃×#3537	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₃×#3536	C₂	1	2	yes	maximal, complemented
9	C₈₃×#3516	C₂	1	4	yes	maximal, complemented
10	C₈₃×#3515	C₂	1	4	yes	maximal, complemented
11	C₈₃×#3514	C₂	1	4	yes	maximal, complemented
12	C₈₃×#3513	C₂	1	8	yes	maximal, complemented
13	C₈₃×#3513	C₂	1	4	yes	maximal, complemented
14	C₈₃×#3512	C₂	1	2	yes	maximal, complemented
15	C₈₃×#3510	C₂	1	2	yes	maximal, complemented
16	C₈₃×#3493	C₂	1	4	yes	maximal, complemented
17	C₈₃×#3491	C₂	1	4	yes	maximal, complemented
18	C₈₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#529×C₈₃	C₂	1	2	yes	maximal, complemented
20	#563×C₈₃	C₂²	1	4	yes	complemented
21	#563×C₈₃	C₂²	1	4	yes	complemented
22	#563×C₈₃	C₂²	1	8	yes	complemented
23	#562×C₈₃	C₂²	1	8	yes	complemented
24	#560×C₈₃	C₂²	1	4	yes	—
25	#560×C₈₃	C₂²	1	4	yes	complemented
26	#559×C₈₃	C₂²	1	4	yes	complemented
27	#559×C₈₃	C₂²	1	8	yes	complemented
28	#557×C₈₃	C₂²	1	4	yes	complemented
29	#556×C₈₃	C₂²	1	4	yes	complemented
30	#556×C₈₃	C₂²	1	8	yes	complemented
31	#556×C₈₃	C₂²	1	8	yes	complemented
32	#555×C₈₃	C₂²	1	4	yes	complemented
33	#555×C₈₃	C₂²	1	8	yes	complemented
34	#554×C₈₃	C₂²	1	4	yes	complemented
35	#554×C₈₃	C₂²	1	4	yes	complemented
36	#554×C₈₃	C₂²	1	8	yes	complemented
37	#553×C₈₃	C₂²	1	4	yes	—
38	#553×C₈₃	C₂²	1	4	yes	complemented
39	#553×C₈₃	C₂²	1	8	yes	complemented
40	#553×C₈₃	C₂²	1	8	yes	complemented
41	#553×C₈₃	C₂²	1	8	yes	complemented
42	#553×C₈₃	C₂²	1	8	yes	complemented
43	#553×C₈₃	C₂²	1	8	yes	complemented
44	#552×C₈₃	C₂²	1	4	yes	complemented
45	#552×C₈₃	C₂²	1	4	yes	complemented
46	#552×C₈₃	C₂²	1	8	yes	complemented
47	#552×C₈₃	C₂²	1	8	yes	complemented
48	#552×C₈₃	C₂²	1	8	yes	complemented
49	#552×C₈₃	C₂²	1	8	yes	complemented
50	#552×C₈₃	C₂²	1	8	yes	complemented
51	#552×C₈₃	C₂²	1	8	yes	complemented
52	#551×C₈₃	C₂²	1	4	yes	complemented
53	#551×C₈₃	C₂²	1	4	yes	complemented
54	#551×C₈₃	C₂²	1	8	yes	complemented
55	#551×C₈₃	C₂²	1	8	yes	complemented
56	#551×C₈₃	C₂²	1	8	yes	complemented
57	#551×C₈₃	C₂²	1	8	yes	complemented
58	#551×C₈₃	C₂²	1	8	yes	complemented
59	#551×C₈₃	C₂²	1	8	yes	complemented
60	D₄×Q₈×C₈₃	C₂²	1	4	yes	complemented
61	#548×C₈₃	C₂²	1	4	yes	complemented
62	#548×C₈₃	C₂²	1	4	yes	complemented
63	#547×C₈₃	C₂²	1	4	yes	complemented
64	#547×C₈₃	C₂²	1	8	yes	complemented
65	#546×C₈₃	C₂²	1	8	yes	complemented
66	#546×C₈₃	C₂²	1	4	yes	complemented
67	#546×C₈₃	C₂²	1	4	yes	complemented
68	#546×C₈₃	C₂²	1	8	yes	complemented
69	#546×C₈₃	C₂²	1	8	yes	complemented
70	D₄²×C₈₃	C₂²	1	4	yes	—
71	D₄²×C₈₃	C₂²	1	4	yes	—
72	#544×C₈₃	C₂²	1	4	yes	complemented
73	#543×C₈₃	C₂²	1	4	yes	complemented
74	#542×C₈₃	C₂²	1	4	yes	complemented
75	#542×C₈₃	C₂²	1	8	yes	complemented
76	#542×C₈₃	C₂²	1	8	yes	complemented
77	#542×C₈₃	C₂²	1	8	yes	complemented
78	#542×C₈₃	C₂²	1	4	yes	complemented
79	#541×C₈₃	C₂²	1	2	yes	complemented
80	#541×C₈₃	C₂²	1	8	yes	complemented
81	#541×C₈₃	C₂²	1	8	yes	complemented
82	#541×C₈₃	C₂²	1	2	yes	complemented
83	#540×C₈₃	C₂²	1	2	yes	—
84	#540×C₈₃	C₂²	1	8	yes	complemented
85	#540×C₈₃	C₂²	1	2	yes	complemented
86	#539×C₈₃	C₂²	1	4	yes	complemented
87	#539×C₈₃	C₂²	1	4	yes	complemented
88	#539×C₈₃	C₂²	1	8	yes	complemented
89	#539×C₈₃	C₂²	1	8	yes	complemented
90	#539×C₈₃	C₂²	1	8	yes	complemented
91	#539×C₈₃	C₂²	1	8	yes	complemented
92	#538×C₈₃	C₂²	1	4	yes	—
93	#538×C₈₃	C₂²	1	4	yes	complemented
94	#538×C₈₃	C₂²	1	8	yes	complemented
95	#538×C₈₃	C₂²	1	8	yes	complemented
96	#538×C₈₃	C₂²	1	8	yes	complemented
97	#538×C₈₃	C₂²	1	8	yes	complemented
98	#537×C₈₃	C₂²	1	4	yes	complemented
99	#537×C₈₃	C₂²	1	4	yes	complemented
100	#536×C₈₃	C₂²	1	2	yes	complemented
101	#535×C₈₃	C₂²	1	2	yes	—
102	#534×C₈₃	C₂²	1	4	yes	—
103	#533×C₈₃	C₂²	1	1	yes	characteristic, complemented
104	#533×C₈₃	C₂²	1	2	yes	complemented
105	#533×C₈₃	C₂²	1	2	yes	complemented
106	#532×C₈₃	C₂²	1	1	yes	characteristic, complemented
107	#532×C₈₃	C₂²	1	2	yes	complemented
108	#532×C₈₃	C₂²	1	2	yes	complemented
109	#529×C₈₃	C₂²	1	4	yes	complemented
110	#529×C₈₃	C₂²	1	4	yes	complemented
111	#529×C₈₃	C₂²	1	4	yes	complemented
112	#529×C₈₃	C₂²	1	4	yes	complemented
113	#529×C₈₃	C₂²	1	4	yes	complemented
114	#529×C₈₃	C₂²	1	4	yes	complemented
115	#529×C₈₃	C₂²	1	4	yes	complemented
116	#529×C₈₃	C₂²	1	4	yes	complemented
117	#529×C₈₃	C₂²	1	4	yes	complemented
118	#529×C₈₃	C₂²	1	2	yes	complemented
119	#529×C₈₃	C₂²	1	2	yes	complemented
120	#529×C₈₃	C₂²	1	4	yes	complemented
121	#529×C₈₃	C₂²	1	8	yes	complemented
122	#529×C₈₃	C₂²	1	8	yes	complemented
123	#529×C₈₃	C₂²	1	4	yes	complemented
124	#529×C₈₃	C₂²	1	4	yes	complemented
125	C₂×#126×C₈₃	C₂²	1	4	yes	complemented
126	C₂×#125×C₈₃	C₂²	1	2	yes	complemented
127	C₂×#125×C₈₃	C₂²	1	2	yes	complemented
128	C₂×#124×C₈₃	C₂²	1	2	yes	complemented
129	C₂×#124×C₈₃	C₂²	1	2	yes	complemented
130	#525×C₈₃	C₂²	1	1	yes	characteristic
131	#525×C₈₃	C₂²	1	1	yes	characteristic, complemented
132	#525×C₈₃	C₂²	1	4	yes	complemented
133	#525×C₈₃	C₂²	1	8	yes	complemented
134	C₂×#123×C₈₃	C₂²	1	4	yes	complemented
135	C₂×#123×C₈₃	C₂²	1	8	yes	complemented
136	C₂×C₂²⋊Q₈×C₈₃	C₂²	1	2	yes	complemented
137	C₂×#121×C₈₃	C₂²	1	2	yes	—
138	#520×C₈₃	C₂²	1	8	yes	complemented
139	#520×C₈₃	C₂²	1	4	yes	complemented
140	#519×C₈₃	C₂²	1	2	yes	complemented
141	#518×C₈₃	C₂²	1	8	yes	complemented
142	#518×C₈₃	C₂²	1	2	yes	complemented
143	C₄×#41×C₈₃	C₂²	1	1	yes	characteristic, complemented
144	C₄×#41×C₈₃	C₂²	1	1	yes	characteristic, complemented
145	C₄×#41×C₈₃	C₂²	1	4	yes	complemented
146	C₂×C₄×Q₈×C₈₃	C₂²	1	2	yes	complemented
147	C₂×C₄×D₄×C₈₃	C₂²	1	2	yes	complemented
148	C₂×C₄×D₄×C₈₃	C₂²	1	4	yes	complemented
149	C₂×#117×C₈₃	C₂²	1	4	yes	complemented
150	C₂²×C₄²×C₈₃	C₂²	1	1	yes	characteristic, complemented
151	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
152	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
153	C₂×#41×C₈₃	C₂³	1	4	yes	—
154	C₂×#41×C₈₃	C₂³	1	8	yes	—
155	C₂×#41×C₈₃	C₂³	1	4	yes	—
156	C₂²×Q₈×C₈₃	C₂³	1	2	yes	—
157	C₂²×Q₈×C₈₃	C₂³	1	2	yes	—
158	C₂²×D₄×C₈₃	C₂³	1	4	yes	—
159	C₂²×D₄×C₈₃	C₂³	1	2	yes	—
160	C₂²×D₄×C₈₃	C₂³	1	8	yes	—
161	C₂²×D₄×C₈₃	C₂³	1	2	yes	—
162	C₂³×C₄×C₈₃	C₂³	1	2	yes	—
163	C₂³×C₄×C₈₃	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₈₃	C₂³	1	4	yes	—
165	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
166	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
167	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
168	C₄⋊Q₈×C₈₃	C₂³	1	4	yes	—
169	C₄⋊Q₈×C₈₃	C₂³	1	4	yes	—
170	C₄⋊Q₈×C₈₃	C₂³	1	8	yes	—
171	C₄⋊Q₈×C₈₃	C₂³	1	8	yes	—
172	#127×C₈₃	C₂³	1	1	yes	characteristic
173	#127×C₈₃	C₂³	1	2	yes	—
174	#127×C₈₃	C₂³	1	4	yes	—
175	#126×C₈₃	C₂³	1	8	yes	—
176	#126×C₈₃	C₂³	1	8	yes	—
177	#126×C₈₃	C₂³	1	8	yes	—
178	#126×C₈₃	C₂³	1	8	yes	—
179	#126×C₈₃	C₂³	1	4	yes	—
180	#126×C₈₃	C₂³	1	4	yes	—
181	#126×C₈₃	C₂³	1	8	yes	—
182	#126×C₈₃	C₂³	1	8	yes	—
183	#126×C₈₃	C₂³	1	8	yes	—
184	#126×C₈₃	C₂³	1	8	yes	—
185	#126×C₈₃	C₂³	1	8	yes	—
186	#126×C₈₃	C₂³	1	8	yes	—
187	#126×C₈₃	C₂³	1	8	yes	—
188	#126×C₈₃	C₂³	1	8	yes	—
189	#126×C₈₃	C₂³	1	8	yes	—
190	#126×C₈₃	C₂³	1	8	yes	—
191	#126×C₈₃	C₂³	1	8	yes	—
192	#126×C₈₃	C₂³	1	8	yes	—
193	#125×C₈₃	C₂³	1	4	yes	—
194	#125×C₈₃	C₂³	1	4	yes	—
195	#125×C₈₃	C₂³	1	4	yes	—
196	#125×C₈₃	C₂³	1	4	yes	—
197	#125×C₈₃	C₂³	1	8	yes	—
198	#125×C₈₃	C₂³	1	2	yes	—
199	#125×C₈₃	C₂³	1	2	yes	—
200	#125×C₈₃	C₂³	1	4	yes	—
201	#125×C₈₃	C₂³	1	2	yes	—
202	#125×C₈₃	C₂³	1	8	yes	—
203	#125×C₈₃	C₂³	1	8	yes	—
204	#125×C₈₃	C₂³	1	8	yes	—
205	#125×C₈₃	C₂³	1	8	yes	—
206	#125×C₈₃	C₂³	1	8	yes	—
207	#125×C₈₃	C₂³	1	8	yes	—
208	#125×C₈₃	C₂³	1	8	yes	—
209	#124×C₈₃	C₂³	1	4	yes	—
210	#124×C₈₃	C₂³	1	4	yes	—
211	#124×C₈₃	C₂³	1	4	yes	—
212	#124×C₈₃	C₂³	1	4	yes	—
213	#124×C₈₃	C₂³	1	8	yes	—
214	#124×C₈₃	C₂³	1	4	yes	—
215	#124×C₈₃	C₂³	1	4	yes	—
216	#124×C₈₃	C₂³	1	1	yes	characteristic
217	#124×C₈₃	C₂³	1	1	yes	characteristic
218	#124×C₈₃	C₂³	1	8	yes	—
219	#124×C₈₃	C₂³	1	8	yes	—
220	#124×C₈₃	C₂³	1	4	yes	—
221	#124×C₈₃	C₂³	1	4	yes	—
222	#124×C₈₃	C₂³	1	8	yes	—
223	#124×C₈₃	C₂³	1	8	yes	—
224	#124×C₈₃	C₂³	1	8	yes	—
225	#123×C₈₃	C₂³	1	8	yes	—
226	#123×C₈₃	C₂³	1	4	yes	—
227	#123×C₈₃	C₂³	1	8	yes	—
228	#123×C₈₃	C₂³	1	8	yes	—
229	#123×C₈₃	C₂³	1	8	yes	—
230	#123×C₈₃	C₂³	1	8	yes	—
231	#123×C₈₃	C₂³	1	8	yes	—
232	#123×C₈₃	C₂³	1	8	yes	—
233	#123×C₈₃	C₂³	1	8	yes	—
234	#123×C₈₃	C₂³	1	8	yes	—
235	#123×C₈₃	C₂³	1	8	yes	—
236	#123×C₈₃	C₂³	1	2	yes	—
237	#123×C₈₃	C₂³	1	4	yes	—
238	#123×C₈₃	C₂³	1	2	yes	—
239	#123×C₈₃	C₂³	1	8	yes	—
240	#123×C₈₃	C₂³	1	8	yes	—
241	#123×C₈₃	C₂³	1	8	yes	—
242	#123×C₈₃	C₂³	1	8	yes	—
243	#123×C₈₃	C₂³	1	4	yes	—
244	#123×C₈₃	C₂³	1	4	yes	—
245	#123×C₈₃	C₂³	1	8	yes	—
246	#123×C₈₃	C₂³	1	8	yes	—
247	#123×C₈₃	C₂³	1	8	yes	—
248	#123×C₈₃	C₂³	1	8	yes	—
249	#123×C₈₃	C₂³	1	8	yes	—
250	#123×C₈₃	C₂³	1	8	yes	—
251	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
252	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
253	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
254	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
255	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
256	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
257	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
258	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
259	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
260	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
261	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
262	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
263	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
264	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
265	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
266	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
267	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
268	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
269	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
270	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
271	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
272	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
273	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
274	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
275	C₂²⋊Q₈×C₈₃	C₂³	1	8	yes	—
276	#121×C₈₃	C₂³	1	4	yes	—
277	#121×C₈₃	C₂³	1	4	yes	—
278	#121×C₈₃	C₂³	1	4	yes	—
279	#121×C₈₃	C₂³	1	4	yes	—
280	#121×C₈₃	C₂³	1	2	yes	—
281	#121×C₈₃	C₂³	1	2	yes	—
282	#121×C₈₃	C₂³	1	4	yes	—
283	#121×C₈₃	C₂³	1	4	yes	—
284	#121×C₈₃	C₂³	1	8	yes	—
285	#121×C₈₃	C₂³	1	8	yes	—
286	#121×C₈₃	C₂³	1	8	yes	—
287	#121×C₈₃	C₂³	1	4	yes	—
288	#121×C₈₃	C₂³	1	8	yes	—
289	#121×C₈₃	C₂³	1	4	yes	—
290	#121×C₈₃	C₂³	1	8	yes	—
291	#121×C₈₃	C₂³	1	8	yes	—
292	#121×C₈₃	C₂³	1	8	yes	—
293	#121×C₈₃	C₂³	1	8	yes	—
294	#121×C₈₃	C₂³	1	8	yes	—
295	#121×C₈₃	C₂³	1	8	yes	—
296	#121×C₈₃	C₂³	1	8	yes	—
297	#121×C₈₃	C₂³	1	8	yes	—
298	#121×C₈₃	C₂³	1	8	yes	—
299	#120×C₈₃	C₂³	1	2	yes	—
300	#120×C₈₃	C₂³	1	2	yes	—
301	#120×C₈₃	C₂³	1	8	yes	—
302	#120×C₈₃	C₂³	1	8	yes	—
303	#120×C₈₃	C₂³	1	4	yes	—
304	#120×C₈₃	C₂³	1	8	yes	—
305	#120×C₈₃	C₂³	1	4	yes	—
306	#120×C₈₃	C₂³	1	8	yes	—
307	C₄×Q₈×C₈₃	C₂³	1	4	yes	—
308	C₄×Q₈×C₈₃	C₂³	1	4	yes	—
309	C₄×Q₈×C₈₃	C₂³	1	4	yes	—
310	C₄×Q₈×C₈₃	C₂³	1	4	yes	—
311	C₄×Q₈×C₈₃	C₂³	1	4	yes	—
312	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
313	C₄×Q₈×C₈₃	C₂³	1	4	yes	—
314	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
315	C₄×Q₈×C₈₃	C₂³	1	8	yes	—
316	C₄×Q₈×C₈₃	C₂³	1	4	yes	—
317	C₄×Q₈×C₈₃	C₂³	1	4	yes	—
318	C₄×Q₈×C₈₃	C₂³	1	8	yes	—
319	C₄×Q₈×C₈₃	C₂³	1	8	yes	—
320	C₄×D₄×C₈₃	C₂³	1	8	yes	—
321	C₄×D₄×C₈₃	C₂³	1	4	yes	—
322	C₄×D₄×C₈₃	C₂³	1	4	yes	—
323	C₄×D₄×C₈₃	C₂³	1	8	yes	—
324	C₄×D₄×C₈₃	C₂³	1	8	yes	—
325	C₄×D₄×C₈₃	C₂³	1	4	yes	—
326	C₄×D₄×C₈₃	C₂³	1	4	yes	—
327	C₄×D₄×C₈₃	C₂³	1	8	yes	—
328	C₄×D₄×C₈₃	C₂³	1	4	yes	—
329	C₄×D₄×C₈₃	C₂³	1	4	yes	—
330	C₄×D₄×C₈₃	C₂³	1	4	yes	—
331	C₄×D₄×C₈₃	C₂³	1	4	yes	—
332	C₄×D₄×C₈₃	C₂³	1	4	yes	—
333	C₄×D₄×C₈₃	C₂³	1	4	yes	—
334	C₄×D₄×C₈₃	C₂³	1	4	yes	—
335	C₄×D₄×C₈₃	C₂³	1	4	yes	—
336	C₄×D₄×C₈₃	C₂³	1	2	yes	—
337	C₄×D₄×C₈₃	C₂³	1	2	yes	—
338	C₄×D₄×C₈₃	C₂³	1	8	yes	—
339	C₄×D₄×C₈₃	C₂³	1	8	yes	—
340	C₄×D₄×C₈₃	C₂³	1	8	yes	—
341	C₄×D₄×C₈₃	C₂³	1	8	yes	—
342	C₄×D₄×C₈₃	C₂³	1	8	yes	—
343	C₄×D₄×C₈₃	C₂³	1	8	yes	—
344	C₄×D₄×C₈₃	C₂³	1	4	yes	—
345	C₄×D₄×C₈₃	C₂³	1	8	yes	—
346	C₄×D₄×C₈₃	C₂³	1	8	yes	—
347	C₄×D₄×C₈₃	C₂³	1	8	yes	—
348	C₄×D₄×C₈₃	C₂³	1	8	yes	—
349	C₄×D₄×C₈₃	C₂³	1	8	yes	—
350	C₄×D₄×C₈₃	C₂³	1	8	yes	—
351	C₄×D₄×C₈₃	C₂³	1	4	yes	—
352	C₄×D₄×C₈₃	C₂³	1	8	yes	—
353	#117×C₈₃	C₂³	1	8	yes	—
354	#117×C₈₃	C₂³	1	8	yes	—
355	#117×C₈₃	C₂³	1	8	yes	—
356	#117×C₈₃	C₂³	1	8	yes	—
357	#117×C₈₃	C₂³	1	2	yes	—
358	#117×C₈₃	C₂³	1	2	yes	—
359	#117×C₈₃	C₂³	1	1	yes	characteristic
360	#117×C₈₃	C₂³	1	1	yes	characteristic
361	#117×C₈₃	C₂³	1	4	yes	—
362	#117×C₈₃	C₂³	1	4	yes	—
363	#117×C₈₃	C₂³	1	4	yes	—
364	#117×C₈₃	C₂³	1	8	yes	—
365	#117×C₈₃	C₂³	1	8	yes	—
366	#117×C₈₃	C₂³	1	2	yes	—
367	#117×C₈₃	C₂³	1	8	yes	—
368	#117×C₈₃	C₂³	1	2	yes	—
369	#117×C₈₃	C₂³	1	8	yes	—
370	#117×C₈₃	C₂³	1	8	yes	—
371	#117×C₈₃	C₂³	1	8	yes	—
372	#117×C₈₃	C₂³	1	8	yes	—
373	C₂×C₄⋊C₄×C₈₃	C₂³	1	4	yes	—
374	C₂×C₄⋊C₄×C₈₃	C₂³	1	4	yes	—
375	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
376	C₂×C₄⋊C₄×C₈₃	C₂³	1	4	yes	—
377	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
378	C₂×C₄⋊C₄×C₈₃	C₂³	1	4	yes	—
379	C₂×C₄⋊C₄×C₈₃	C₂³	1	8	yes	—
380	C₂×C₄⋊C₄×C₈₃	C₂³	1	8	yes	—
381	C₂×C₄⋊C₄×C₈₃	C₂³	1	4	yes	—
382	C₂×C₄⋊C₄×C₈₃	C₂³	1	8	yes	—
383	C₂×C₂²⋊C₄×C₈₃	C₂³	1	4	yes	—
384	C₂×C₂²⋊C₄×C₈₃	C₂³	1	4	yes	—
385	C₂×C₂²⋊C₄×C₈₃	C₂³	1	4	yes	—
386	C₂×C₂²⋊C₄×C₈₃	C₂³	1	4	yes	—
387	C₂×C₂²⋊C₄×C₈₃	C₂³	1	4	yes	—
388	C₂×C₂²⋊C₄×C₈₃	C₂³	1	8	yes	—
389	C₂×C₂²⋊C₄×C₈₃	C₂³	1	8	yes	—
390	C₂×C₂²⋊C₄×C₈₃	C₂³	1	8	yes	—
391	C₂×C₂²⋊C₄×C₈₃	C₂³	1	8	yes	—
392	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
393	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
394	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
395	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
396	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
397	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
398	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
399	C₂×C₄²×C₈₃	C₂³	1	4	yes	—
400	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
401	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
402	C₂⁴×C₈₃	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₈₃	C₂⁴	1	4	yes	—
404	C₂⁴×C₈₃	C₂⁴	1	4	yes	—
405	#41×C₈₃	—	4	2	no	—
406	#41×C₈₃	—	4	2	no	—
407	#41×C₈₃	—	4	8	no	—
408	#41×C₈₃	—	4	16	no	—
409	#41×C₈₃	—	4	8	no	—
410	C₂×Q₈×C₈₃	—	4	4	no	—
411	C₂×Q₈×C₈₃	—	4	4	no	—
412	C₂×Q₈×C₈₃	C₂⁴	1	4	yes	—
413	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
414	C₂×Q₈×C₈₃	C₂⁴	1	8	yes	—
415	C₂×Q₈×C₈₃	C₂⁴	1	4	yes	—
416	C₂×Q₈×C₈₃	C₂⁴	1	4	yes	—
417	C₂×Q₈×C₈₃	C₂⁴	1	4	yes	—
418	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
419	C₂×D₄×C₈₃	—	4	4	no	—
420	C₂×D₄×C₈₃	—	4	4	no	—
421	C₂×D₄×C₈₃	—	4	8	no	—
422	C₂×D₄×C₈₃	—	4	16	no	—
423	C₂×D₄×C₈₃	C₂⁴	1	4	yes	—
424	C₂×D₄×C₈₃	C₂⁴	1	8	yes	—
425	C₂×D₄×C₈₃	C₂⁴	1	4	yes	—
426	C₂×D₄×C₈₃	C₂⁴	1	4	yes	—
427	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
428	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
429	C₂×D₄×C₈₃	C₂⁴	1	8	yes	—
430	C₂×D₄×C₈₃	C₂⁴	1	8	yes	—
431	C₂×D₄×C₈₃	C₂⁴	1	4	yes	—
432	C₂×D₄×C₈₃	C₂⁴	1	4	yes	—
433	C₂×D₄×C₈₃	C₂⁴	1	8	yes	—
434	C₂×D₄×C₈₃	C₂⁴	1	8	yes	—
435	C₂×D₄×C₈₃	C₂⁴	1	4	yes	—
436	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
437	C₂×D₄×C₈₃	C₂⁴	1	8	yes	—
438	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₈₃	—	4	2	no	—
440	C₂²×C₄×C₈₃	—	4	4	no	—
441	C₂²×C₄×C₈₃	—	4	8	no	—
442	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
443	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
444	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
445	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
447	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
448	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
449	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
450	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
451	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
452	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
453	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
454	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
456	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
457	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
458	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
459	C₂²×C₄×C₈₃	C₂⁴	1	8	yes	—
460	C₂²×C₄×C₈₃	C₂⁴	1	8	yes	—
461	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
462	C₂²×C₄×C₈₃	C₂⁴	1	8	yes	—
463	C₂²×C₄×C₈₃	C₂⁴	1	8	yes	—
464	C₂²×C₄×C₈₃	C₂⁴	1	8	yes	—
465	C₂²×C₄×C₈₃	C₂⁴	1	8	yes	—
466	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
467	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
468	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
469	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
470	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
471	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
472	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
473	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
474	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
475	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
476	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
477	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
478	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
479	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
480	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
481	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
482	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
483	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
484	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
485	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
486	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
487	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
488	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
489	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
490	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
491	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
492	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
493	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
494	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
495	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
496	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
497	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
498	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
499	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
500	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
501	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
502	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
503	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
504	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
505	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
506	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
507	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
508	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
509	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
510	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
511	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
512	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
513	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
514	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
515	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
516	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
517	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
518	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
519	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
520	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
521	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
522	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
523	C₂²⋊C₄×C₈₃	C₂⁴	1	2	yes	—
524	C₂²⋊C₄×C₈₃	C₂⁴	1	2	yes	—
525	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
526	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
527	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
528	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
529	C₄²×C₈₃	C₂⁴	1	2	yes	—
530	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
531	C₄²×C₈₃	C₂⁴	1	2	yes	—
532	C₄²×C₈₃	C₂⁴	1	2	yes	—
533	C₄²×C₈₃	C₂⁴	1	2	yes	—
534	C₄²×C₈₃	C₂⁴	1	2	yes	—
535	C₄²×C₈₃	C₂⁴	1	2	yes	—
536	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
537	C₄²×C₈₃	C₂⁴	1	4	yes	—
538	C₄²×C₈₃	C₂⁴	1	8	yes	—
539	C₄²×C₈₃	C₂⁴	1	8	yes	—
540	C₄²×C₈₃	C₂⁴	1	4	yes	—
541	C₄²×C₈₃	C₂⁴	1	2	yes	—
542	C₄²×C₈₃	C₂⁴	1	2	yes	—
543	C₄²×C₈₃	C₂⁴	1	4	yes	—
544	C₄²×C₈₃	C₂⁴	1	8	yes	—
545	C₄²×C₈₃	C₂⁴	1	8	yes	—
546	C₄²×C₈₃	C₂⁴	1	4	yes	—
547	C₂³×C₈₃	—	2	4	no	—
548	C₂³×C₈₃	—	2	8	no	—
549	C₂³×C₈₃	—	4	1	no	—
550	C₂³×C₈₃	—	4	4	no	—
551	C₂³×C₈₃	—	4	4	no	—
552	C₂³×C₈₃	—	4	4	no	—
553	C₂³×C₈₃	—	4	8	no	—
554	C₂³×C₈₃	C₂⁵	1	2	yes	—
555	C₂³×C₈₃	C₂⁵	1	8	yes	—
556	C₂³×C₈₃	C₂⁵	1	1	yes	characteristic
557	C₂³×C₈₃	C₂⁵	1	2	yes	—
558	C₂³×C₈₃	C₂⁵	1	2	yes	—
559	Q₈×C₈₃	—	2	8	no	—
560	Q₈×C₈₃	—	4	4	no	—
561	Q₈×C₈₃	—	4	4	no	—
562	Q₈×C₈₃	—	4	1	no	—
563	Q₈×C₈₃	—	4	8	no	—
564	Q₈×C₈₃	—	4	1	no	—
565	Q₈×C₈₃	—	4	4	no	—
566	D₄×C₈₃	—	2	16	no	—
567	D₄×C₈₃	—	2	8	no	—
568	D₄×C₈₃	—	2	8	no	—
569	D₄×C₈₃	—	2	8	no	—
570	D₄×C₈₃	—	4	4	no	—
571	D₄×C₈₃	—	4	4	no	—
572	D₄×C₈₃	—	4	8	no	—
573	D₄×C₈₃	—	4	8	no	—
574	D₄×C₈₃	—	4	8	no	—
575	D₄×C₈₃	—	4	2	no	—
576	D₄×C₈₃	—	4	8	no	—
577	D₄×C₈₃	—	4	1	no	—
578	D₄×C₈₃	—	4	1	no	—
579	D₄×C₈₃	—	4	4	no	—
580	D₄×C₈₃	—	4	2	no	—
581	D₄×C₈₃	—	4	8	no	—
582	C₂×C₄×C₈₃	—	2	4	no	—
583	C₂×C₄×C₈₃	—	2	4	no	—
584	C₂×C₄×C₈₃	—	2	8	no	—
585	C₂×C₄×C₈₃	—	2	4	no	—
586	C₂×C₄×C₈₃	—	2	2	no	—
587	C₂×C₄×C₈₃	—	2	4	no	—
588	C₂×C₄×C₈₃	—	2	4	no	—
589	C₂×C₄×C₈₃	—	4	2	no	—
590	C₂×C₄×C₈₃	—	4	2	no	—
591	C₂×C₄×C₈₃	—	4	8	no	—
592	C₂×C₄×C₈₃	—	4	8	no	—
593	C₂×C₄×C₈₃	—	4	2	no	—
594	C₂×C₄×C₈₃	—	4	2	no	—
595	C₂×C₄×C₈₃	—	4	2	no	—
596	C₂×C₄×C₈₃	—	4	1	no	—
597	C₂×C₄×C₈₃	—	4	4	no	—
598	C₂×C₄×C₈₃	—	4	8	no	—
599	C₂×C₄×C₈₃	—	4	4	no	—
600	C₂×C₄×C₈₃	—	4	4	no	—
601	C₂×C₄×C₈₃	—	4	4	no	—
602	C₂×C₄×C₈₃	—	4	4	no	—
603	C₂×C₄×C₈₃	—	4	8	no	—
604	C₂×C₄×C₈₃	—	4	8	no	—
605	C₂×C₄×C₈₃	—	4	8	no	—
606	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
607	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
608	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
609	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
610	C₂×C₄×C₈₃	C₂⁵	1	4	yes	—
611	C₂×C₄×C₈₃	C₂⁵	1	8	yes	—
612	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
613	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
614	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
615	C₂×C₄×C₈₃	C₂⁵	1	4	yes	—
616	C₂×C₄×C₈₃	C₂⁵	1	8	yes	—
617	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
618	C₂×C₄×C₈₃	C₂⁵	1	8	yes	—
619	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
620	C₂²×C₈₃	—	2	2	no	—
621	C₂²×C₈₃	—	2	2	no	—
622	C₂²×C₈₃	—	2	2	no	—
623	C₂²×C₈₃	—	2	1	no	—
624	C₂²×C₈₃	—	2	2	no	—
625	C₂²×C₈₃	—	2	4	no	—
626	C₂²×C₈₃	—	2	8	no	—
627	C₂²×C₈₃	—	2	2	no	—
628	C₂²×C₈₃	—	2	8	no	—
629	C₂²×C₈₃	—	2	8	no	—
630	C₂²×C₈₃	—	2	4	no	—
631	C₂²×C₈₃	—	4	4	no	—
632	C₂²×C₈₃	—	8	8	no	—
633	C₂²×C₈₃	—	16	4	no	—
634	C₂²×C₈₃	#585	1	4	yes	—
635	C₂²×C₈₃	C₂⁶	1	1	yes	characteristic
636	C₄×C₈₃	—	2	2	no	—
637	C₄×C₈₃	—	2	2	no	—
638	C₄×C₈₃	—	2	2	no	—
639	C₄×C₈₃	—	2	8	no	—
640	C₄×C₈₃	—	2	2	no	—
641	C₄×C₈₃	—	2	2	no	—
642	C₄×C₈₃	—	2	2	no	—
643	C₄×C₈₃	—	2	1	no	—
644	C₄×C₈₃	—	2	2	no	—
645	C₄×C₈₃	—	2	8	no	—
646	C₄×C₈₃	—	2	4	no	—
647	C₄×C₈₃	—	2	4	no	—
648	C₄×C₈₃	—	2	8	no	—
649	C₄×C₈₃	#585	1	2	yes	—
650	#62829	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
651	C₂×C₈₃	—	2	4	no	—
652	C₂×C₈₃	—	4	2	no	—
653	C₂×C₈₃	—	4	1	no	—
654	C₂×C₈₃	—	4	8	no	—
655	C₂×C₈₃	—	4	2	no	—
656	C₂×C₈₃	C₂×#585	1	2	yes	—
657	C₂×C₈₃	C₂×#585	1	1	yes	characteristic
658	#3566	C₂×C₈₃	1	8	yes	complemented
659	#3564	C₂×C₈₃	1	4	yes	complemented
660	#3560	C₂×C₈₃	1	4	yes	complemented
661	#3557	C₂×C₈₃	1	2	yes	complemented
662	#3551	C₂×C₈₃	1	2	yes	complemented
663	#3538	C₂×C₈₃	1	1	yes	characteristic, complemented
664	#3537	C₂×C₈₃	1	1	yes	characteristic, complemented
665	#3536	C₂×C₈₃	1	2	yes	complemented
666	#3516	C₂×C₈₃	1	4	yes	complemented
667	#3515	C₂×C₈₃	1	4	yes	complemented
668	#3514	C₂×C₈₃	1	4	yes	complemented
669	#3513	C₂×C₈₃	1	8	yes	complemented
670	#3513	C₂×C₈₃	1	4	yes	complemented
671	#3512	C₂×C₈₃	1	2	yes	complemented
672	#3510	C₂×C₈₃	1	2	yes	complemented
673	#3493	C₂×C₈₃	1	4	yes	complemented
674	#3491	C₂×C₈₃	1	4	yes	complemented
675	#3444	C₂×C₈₃	1	1	yes	characteristic, complemented
676	C₂×#529	C₂×C₈₃	1	2	yes	complemented
677	C₈₃	#62829	1	1	yes	characteristic, direct product factor, Sylow
678	#563	C₂²×C₈₃	1	4	yes	complemented
679	#563	C₂²×C₈₃	1	4	yes	complemented
680	#563	C₂²×C₈₃	1	8	yes	complemented
681	#562	C₂²×C₈₃	1	8	yes	complemented
682	#560	C₂²×C₈₃	1	4	yes	—
683	#560	C₂²×C₈₃	1	4	yes	complemented
684	#559	C₂²×C₈₃	1	8	yes	complemented
685	#559	C₂²×C₈₃	1	4	yes	complemented
686	#557	C₂²×C₈₃	1	4	yes	complemented
687	#556	C₂²×C₈₃	1	8	yes	complemented
688	#556	C₂²×C₈₃	1	8	yes	complemented
689	#556	C₂²×C₈₃	1	4	yes	complemented
690	#555	C₂²×C₈₃	1	4	yes	complemented
691	#555	C₂²×C₈₃	1	8	yes	complemented
692	#554	C₂²×C₈₃	1	4	yes	complemented
693	#554	C₂²×C₈₃	1	8	yes	complemented
694	#554	C₂²×C₈₃	1	4	yes	complemented
695	#553	C₂²×C₈₃	1	4	yes	—
696	#553	C₂²×C₈₃	1	8	yes	complemented
697	#553	C₂²×C₈₃	1	8	yes	complemented
698	#553	C₂²×C₈₃	1	8	yes	complemented
699	#553	C₂²×C₈₃	1	8	yes	complemented
700	#553	C₂²×C₈₃	1	4	yes	complemented
701	#553	C₂²×C₈₃	1	8	yes	complemented
702	#552	C₂²×C₈₃	1	8	yes	complemented
703	#552	C₂²×C₈₃	1	8	yes	complemented
704	#552	C₂²×C₈₃	1	8	yes	complemented
705	#552	C₂²×C₈₃	1	8	yes	complemented
706	#552	C₂²×C₈₃	1	8	yes	complemented
707	#552	C₂²×C₈₃	1	4	yes	complemented
708	#552	C₂²×C₈₃	1	8	yes	complemented
709	#552	C₂²×C₈₃	1	4	yes	complemented
710	#551	C₂²×C₈₃	1	4	yes	complemented
711	#551	C₂²×C₈₃	1	8	yes	complemented
712	#551	C₂²×C₈₃	1	8	yes	complemented
713	#551	C₂²×C₈₃	1	8	yes	complemented
714	#551	C₂²×C₈₃	1	8	yes	complemented
715	#551	C₂²×C₈₃	1	4	yes	complemented
716	#551	C₂²×C₈₃	1	8	yes	complemented
717	#551	C₂²×C₈₃	1	8	yes	complemented
718	D₄×Q₈	C₂²×C₈₃	1	4	yes	complemented
719	#548	C₂²×C₈₃	1	4	yes	complemented
720	#548	C₂²×C₈₃	1	4	yes	complemented
721	#547	C₂²×C₈₃	1	4	yes	complemented
722	#547	C₂²×C₈₃	1	8	yes	complemented
723	#546	C₂²×C₈₃	1	8	yes	complemented
724	#546	C₂²×C₈₃	1	8	yes	complemented
725	#546	C₂²×C₈₃	1	4	yes	complemented
726	#546	C₂²×C₈₃	1	4	yes	complemented
727	#546	C₂²×C₈₃	1	8	yes	complemented
728	D₄²	C₂²×C₈₃	1	4	yes	—
729	D₄²	C₂²×C₈₃	1	4	yes	—
730	#544	C₂²×C₈₃	1	4	yes	complemented
731	#543	C₂²×C₈₃	1	4	yes	complemented
732	#542	C₂²×C₈₃	1	4	yes	complemented
733	#542	C₂²×C₈₃	1	4	yes	complemented
734	#542	C₂²×C₈₃	1	8	yes	complemented
735	#542	C₂²×C₈₃	1	8	yes	complemented
736	#542	C₂²×C₈₃	1	8	yes	complemented
737	#541	C₂²×C₈₃	1	2	yes	complemented
738	#541	C₂²×C₈₃	1	2	yes	complemented
739	#541	C₂²×C₈₃	1	8	yes	complemented
740	#541	C₂²×C₈₃	1	8	yes	complemented
741	#540	C₂²×C₈₃	1	2	yes	—
742	#540	C₂²×C₈₃	1	2	yes	complemented
743	#540	C₂²×C₈₃	1	8	yes	complemented
744	#539	C₂²×C₈₃	1	8	yes	complemented
745	#539	C₂²×C₈₃	1	4	yes	complemented
746	#539	C₂²×C₈₃	1	4	yes	complemented
747	#539	C₂²×C₈₃	1	8	yes	complemented
748	#539	C₂²×C₈₃	1	8	yes	complemented
749	#539	C₂²×C₈₃	1	8	yes	complemented
750	#538	C₂²×C₈₃	1	4	yes	—
751	#538	C₂²×C₈₃	1	8	yes	complemented
752	#538	C₂²×C₈₃	1	4	yes	complemented
753	#538	C₂²×C₈₃	1	8	yes	complemented
754	#538	C₂²×C₈₃	1	8	yes	complemented
755	#538	C₂²×C₈₃	1	8	yes	complemented
756	#537	C₂²×C₈₃	1	4	yes	complemented
757	#537	C₂²×C₈₃	1	4	yes	complemented
758	#536	C₂²×C₈₃	1	2	yes	complemented
759	#535	C₂²×C₈₃	1	2	yes	—
760	#534	C₂²×C₈₃	1	4	yes	—
761	#533	C₂²×C₈₃	1	1	yes	characteristic, complemented
762	#533	C₂²×C₈₃	1	2	yes	complemented
763	#533	C₂²×C₈₃	1	2	yes	complemented
764	#532	C₂²×C₈₃	1	1	yes	characteristic, complemented
765	#532	C₂²×C₈₃	1	2	yes	complemented
766	#532	C₂²×C₈₃	1	2	yes	complemented
767	#529	C₂²×C₈₃	1	4	yes	complemented
768	#529	C₂²×C₈₃	1	4	yes	complemented
769	#529	C₂²×C₈₃	1	4	yes	complemented
770	#529	C₂²×C₈₃	1	4	yes	complemented
771	#529	C₂²×C₈₃	1	4	yes	complemented
772	#529	C₂²×C₈₃	1	4	yes	complemented
773	#529	C₂²×C₈₃	1	4	yes	complemented
774	#529	C₂²×C₈₃	1	4	yes	complemented
775	#529	C₂²×C₈₃	1	2	yes	complemented
776	#529	C₂²×C₈₃	1	2	yes	complemented
777	#529	C₂²×C₈₃	1	4	yes	complemented
778	#529	C₂²×C₈₃	1	4	yes	complemented
779	#529	C₂²×C₈₃	1	8	yes	complemented
780	#529	C₂²×C₈₃	1	8	yes	complemented
781	#529	C₂²×C₈₃	1	4	yes	complemented
782	#529	C₂²×C₈₃	1	4	yes	complemented
783	C₂×#126	C₂²×C₈₃	1	4	yes	complemented
784	C₂×#125	C₂²×C₈₃	1	2	yes	complemented
785	C₂×#125	C₂²×C₈₃	1	2	yes	complemented
786	C₂×#124	C₂²×C₈₃	1	2	yes	complemented
787	C₂×#124	C₂²×C₈₃	1	2	yes	complemented
788	#525	C₂²×C₈₃	1	1	yes	characteristic
789	#525	C₂²×C₈₃	1	4	yes	complemented
790	#525	C₂²×C₈₃	1	1	yes	characteristic, complemented
791	#525	C₂²×C₈₃	1	8	yes	complemented
792	C₂×#123	C₂²×C₈₃	1	4	yes	complemented
793	C₂×#123	C₂²×C₈₃	1	8	yes	complemented
794	C₂×C₂²⋊Q₈	C₂²×C₈₃	1	2	yes	complemented
795	C₂×#121	C₂²×C₈₃	1	2	yes	—
796	#520	C₂²×C₈₃	1	8	yes	complemented
797	#520	C₂²×C₈₃	1	4	yes	complemented
798	#519	C₂²×C₈₃	1	2	yes	complemented
799	#518	C₂²×C₈₃	1	8	yes	complemented
800	#518	C₂²×C₈₃	1	2	yes	complemented
801	C₄×#41	C₂²×C₈₃	1	1	yes	characteristic, complemented
802	C₄×#41	C₂²×C₈₃	1	1	yes	characteristic, complemented
803	C₄×#41	C₂²×C₈₃	1	4	yes	complemented
804	C₂×C₄×Q₈	C₂²×C₈₃	1	2	yes	complemented
805	C₂×C₄×D₄	C₂²×C₈₃	1	4	yes	complemented
806	C₂×C₄×D₄	C₂²×C₈₃	1	2	yes	complemented
807	C₂×#117	C₂²×C₈₃	1	4	yes	complemented
808	C₂²×C₄²	C₂²×C₈₃	1	1	yes	characteristic, complemented
809	C₂×#41	C₂³×C₈₃	1	1	yes	characteristic
810	C₂×#41	C₂³×C₈₃	1	1	yes	characteristic
811	C₂×#41	C₂³×C₈₃	1	4	yes	—
812	C₂×#41	C₂³×C₈₃	1	8	yes	—
813	C₂×#41	C₂³×C₈₃	1	4	yes	—
814	C₂²×Q₈	C₂³×C₈₃	1	2	yes	—
815	C₂²×Q₈	C₂³×C₈₃	1	2	yes	—
816	C₂²×D₄	C₂³×C₈₃	1	4	yes	—
817	C₂²×D₄	C₂³×C₈₃	1	2	yes	—
818	C₂²×D₄	C₂³×C₈₃	1	8	yes	—
819	C₂²×D₄	C₂³×C₈₃	1	2	yes	—
820	C₂³×C₄	C₂³×C₈₃	1	4	yes	—
821	C₂³×C₄	C₂³×C₈₃	1	2	yes	—
822	C₂³×C₄	C₂³×C₈₃	1	1	yes	characteristic
823	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
824	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
825	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
826	C₄⋊Q₈	C₂³×C₈₃	1	4	yes	—
827	C₄⋊Q₈	C₂³×C₈₃	1	4	yes	—
828	C₄⋊Q₈	C₂³×C₈₃	1	8	yes	—
829	C₄⋊Q₈	C₂³×C₈₃	1	8	yes	—
830	#127	C₂³×C₈₃	1	1	yes	characteristic
831	#127	C₂³×C₈₃	1	2	yes	—
832	#127	C₂³×C₈₃	1	4	yes	—
833	#126	C₂³×C₈₃	1	8	yes	—
834	#126	C₂³×C₈₃	1	8	yes	—
835	#126	C₂³×C₈₃	1	8	yes	—
836	#126	C₂³×C₈₃	1	8	yes	—
837	#126	C₂³×C₈₃	1	4	yes	—
838	#126	C₂³×C₈₃	1	4	yes	—
839	#126	C₂³×C₈₃	1	8	yes	—
840	#126	C₂³×C₈₃	1	8	yes	—
841	#126	C₂³×C₈₃	1	8	yes	—
842	#126	C₂³×C₈₃	1	8	yes	—
843	#126	C₂³×C₈₃	1	8	yes	—
844	#126	C₂³×C₈₃	1	8	yes	—
845	#126	C₂³×C₈₃	1	8	yes	—
846	#126	C₂³×C₈₃	1	8	yes	—
847	#126	C₂³×C₈₃	1	8	yes	—
848	#126	C₂³×C₈₃	1	8	yes	—
849	#126	C₂³×C₈₃	1	8	yes	—
850	#126	C₂³×C₈₃	1	8	yes	—
851	#125	C₂³×C₈₃	1	4	yes	—
852	#125	C₂³×C₈₃	1	4	yes	—
853	#125	C₂³×C₈₃	1	4	yes	—
854	#125	C₂³×C₈₃	1	4	yes	—
855	#125	C₂³×C₈₃	1	8	yes	—
856	#125	C₂³×C₈₃	1	2	yes	—
857	#125	C₂³×C₈₃	1	2	yes	—
858	#125	C₂³×C₈₃	1	4	yes	—
859	#125	C₂³×C₈₃	1	2	yes	—
860	#125	C₂³×C₈₃	1	8	yes	—
861	#125	C₂³×C₈₃	1	8	yes	—
862	#125	C₂³×C₈₃	1	8	yes	—
863	#125	C₂³×C₈₃	1	8	yes	—
864	#125	C₂³×C₈₃	1	8	yes	—
865	#125	C₂³×C₈₃	1	8	yes	—
866	#125	C₂³×C₈₃	1	8	yes	—
867	#124	C₂³×C₈₃	1	4	yes	—
868	#124	C₂³×C₈₃	1	4	yes	—
869	#124	C₂³×C₈₃	1	4	yes	—
870	#124	C₂³×C₈₃	1	4	yes	—
871	#124	C₂³×C₈₃	1	8	yes	—
872	#124	C₂³×C₈₃	1	4	yes	—
873	#124	C₂³×C₈₃	1	4	yes	—
874	#124	C₂³×C₈₃	1	1	yes	characteristic
875	#124	C₂³×C₈₃	1	1	yes	characteristic
876	#124	C₂³×C₈₃	1	8	yes	—
877	#124	C₂³×C₈₃	1	8	yes	—
878	#124	C₂³×C₈₃	1	4	yes	—
879	#124	C₂³×C₈₃	1	4	yes	—
880	#124	C₂³×C₈₃	1	8	yes	—
881	#124	C₂³×C₈₃	1	8	yes	—
882	#124	C₂³×C₈₃	1	8	yes	—
883	#123	C₂³×C₈₃	1	8	yes	—
884	#123	C₂³×C₈₃	1	4	yes	—
885	#123	C₂³×C₈₃	1	8	yes	—
886	#123	C₂³×C₈₃	1	8	yes	—
887	#123	C₂³×C₈₃	1	8	yes	—
888	#123	C₂³×C₈₃	1	8	yes	—
889	#123	C₂³×C₈₃	1	8	yes	—
890	#123	C₂³×C₈₃	1	8	yes	—
891	#123	C₂³×C₈₃	1	8	yes	—
892	#123	C₂³×C₈₃	1	8	yes	—
893	#123	C₂³×C₈₃	1	8	yes	—
894	#123	C₂³×C₈₃	1	2	yes	—
895	#123	C₂³×C₈₃	1	4	yes	—
896	#123	C₂³×C₈₃	1	2	yes	—
897	#123	C₂³×C₈₃	1	8	yes	—
898	#123	C₂³×C₈₃	1	8	yes	—
899	#123	C₂³×C₈₃	1	8	yes	—
900	#123	C₂³×C₈₃	1	8	yes	—
901	#123	C₂³×C₈₃	1	4	yes	—
902	#123	C₂³×C₈₃	1	4	yes	—
903	#123	C₂³×C₈₃	1	8	yes	—
904	#123	C₂³×C₈₃	1	8	yes	—
905	#123	C₂³×C₈₃	1	8	yes	—
906	#123	C₂³×C₈₃	1	8	yes	—
907	#123	C₂³×C₈₃	1	8	yes	—
908	#123	C₂³×C₈₃	1	8	yes	—
909	C₂²⋊Q₈	C₂³×C₈₃	1	4	yes	—
910	C₂²⋊Q₈	C₂³×C₈₃	1	4	yes	—
911	C₂²⋊Q₈	C₂³×C₈₃	1	4	yes	—
912	C₂²⋊Q₈	C₂³×C₈₃	1	4	yes	—
913	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
914	C₂²⋊Q₈	C₂³×C₈₃	1	4	yes	—
915	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
916	C₂²⋊Q₈	C₂³×C₈₃	1	4	yes	—
917	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
918	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
919	C₂²⋊Q₈	C₂³×C₈₃	1	4	yes	—
920	C₂²⋊Q₈	C₂³×C₈₃	1	4	yes	—
921	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
922	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
923	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
924	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
925	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
926	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
927	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
928	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
929	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
930	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
931	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
932	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
933	C₂²⋊Q₈	C₂³×C₈₃	1	8	yes	—
934	#121	C₂³×C₈₃	1	4	yes	—
935	#121	C₂³×C₈₃	1	4	yes	—
936	#121	C₂³×C₈₃	1	4	yes	—
937	#121	C₂³×C₈₃	1	4	yes	—
938	#121	C₂³×C₈₃	1	2	yes	—
939	#121	C₂³×C₈₃	1	2	yes	—
940	#121	C₂³×C₈₃	1	4	yes	—
941	#121	C₂³×C₈₃	1	4	yes	—
942	#121	C₂³×C₈₃	1	8	yes	—
943	#121	C₂³×C₈₃	1	8	yes	—
944	#121	C₂³×C₈₃	1	8	yes	—
945	#121	C₂³×C₈₃	1	4	yes	—
946	#121	C₂³×C₈₃	1	8	yes	—
947	#121	C₂³×C₈₃	1	4	yes	—
948	#121	C₂³×C₈₃	1	8	yes	—
949	#121	C₂³×C₈₃	1	8	yes	—
950	#121	C₂³×C₈₃	1	8	yes	—
951	#121	C₂³×C₈₃	1	8	yes	—
952	#121	C₂³×C₈₃	1	8	yes	—
953	#121	C₂³×C₈₃	1	8	yes	—
954	#121	C₂³×C₈₃	1	8	yes	—
955	#121	C₂³×C₈₃	1	8	yes	—
956	#121	C₂³×C₈₃	1	8	yes	—
957	#120	C₂³×C₈₃	1	2	yes	—
958	#120	C₂³×C₈₃	1	2	yes	—
959	#120	C₂³×C₈₃	1	8	yes	—
960	#120	C₂³×C₈₃	1	8	yes	—
961	#120	C₂³×C₈₃	1	4	yes	—
962	#120	C₂³×C₈₃	1	8	yes	—
963	#120	C₂³×C₈₃	1	4	yes	—
964	#120	C₂³×C₈₃	1	8	yes	—
965	C₄×Q₈	C₂³×C₈₃	1	4	yes	—
966	C₄×Q₈	C₂³×C₈₃	1	4	yes	—
967	C₄×Q₈	C₂³×C₈₃	1	4	yes	—
968	C₄×Q₈	C₂³×C₈₃	1	4	yes	—
969	C₄×Q₈	C₂³×C₈₃	1	4	yes	—
970	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
971	C₄×Q₈	C₂³×C₈₃	1	4	yes	—
972	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
973	C₄×Q₈	C₂³×C₈₃	1	8	yes	—
974	C₄×Q₈	C₂³×C₈₃	1	4	yes	—
975	C₄×Q₈	C₂³×C₈₃	1	4	yes	—
976	C₄×Q₈	C₂³×C₈₃	1	8	yes	—
977	C₄×Q₈	C₂³×C₈₃	1	8	yes	—
978	C₄×D₄	C₂³×C₈₃	1	8	yes	—
979	C₄×D₄	C₂³×C₈₃	1	4	yes	—
980	C₄×D₄	C₂³×C₈₃	1	4	yes	—
981	C₄×D₄	C₂³×C₈₃	1	8	yes	—
982	C₄×D₄	C₂³×C₈₃	1	8	yes	—
983	C₄×D₄	C₂³×C₈₃	1	4	yes	—
984	C₄×D₄	C₂³×C₈₃	1	4	yes	—
985	C₄×D₄	C₂³×C₈₃	1	8	yes	—
986	C₄×D₄	C₂³×C₈₃	1	4	yes	—
987	C₄×D₄	C₂³×C₈₃	1	4	yes	—
988	C₄×D₄	C₂³×C₈₃	1	4	yes	—
989	C₄×D₄	C₂³×C₈₃	1	4	yes	—
990	C₄×D₄	C₂³×C₈₃	1	4	yes	—
991	C₄×D₄	C₂³×C₈₃	1	4	yes	—
992	C₄×D₄	C₂³×C₈₃	1	4	yes	—
993	C₄×D₄	C₂³×C₈₃	1	4	yes	—
994	C₄×D₄	C₂³×C₈₃	1	2	yes	—
995	C₄×D₄	C₂³×C₈₃	1	2	yes	—
996	C₄×D₄	C₂³×C₈₃	1	8	yes	—
997	C₄×D₄	C₂³×C₈₃	1	8	yes	—
998	C₄×D₄	C₂³×C₈₃	1	8	yes	—
999	C₄×D₄	C₂³×C₈₃	1	8	yes	—
1000	C₄×D₄	C₂³×C₈₃	1	8	yes	—
1001	C₄×D₄	C₂³×C₈₃	1	8	yes	—
1002	C₄×D₄	C₂³×C₈₃	1	4	yes	—
1003	C₄×D₄	C₂³×C₈₃	1	8	yes	—
1004	C₄×D₄	C₂³×C₈₃	1	8	yes	—
1005	C₄×D₄	C₂³×C₈₃	1	8	yes	—
1006	C₄×D₄	C₂³×C₈₃	1	8	yes	—
1007	C₄×D₄	C₂³×C₈₃	1	8	yes	—
1008	C₄×D₄	C₂³×C₈₃	1	8	yes	—
1009	C₄×D₄	C₂³×C₈₃	1	4	yes	—
1010	C₄×D₄	C₂³×C₈₃	1	8	yes	—
1011	#117	C₂³×C₈₃	1	8	yes	—
1012	#117	C₂³×C₈₃	1	8	yes	—
1013	#117	C₂³×C₈₃	1	8	yes	—
1014	#117	C₂³×C₈₃	1	8	yes	—
1015	#117	C₂³×C₈₃	1	2	yes	—
1016	#117	C₂³×C₈₃	1	2	yes	—
1017	#117	C₂³×C₈₃	1	1	yes	characteristic
1018	#117	C₂³×C₈₃	1	1	yes	characteristic
1019	#117	C₂³×C₈₃	1	4	yes	—
1020	#117	C₂³×C₈₃	1	4	yes	—
1021	#117	C₂³×C₈₃	1	4	yes	—
1022	#117	C₂³×C₈₃	1	8	yes	—
1023	#117	C₂³×C₈₃	1	8	yes	—
1024	#117	C₂³×C₈₃	1	2	yes	—
1025	#117	C₂³×C₈₃	1	8	yes	—
1026	#117	C₂³×C₈₃	1	2	yes	—
1027	#117	C₂³×C₈₃	1	8	yes	—
1028	#117	C₂³×C₈₃	1	8	yes	—
1029	#117	C₂³×C₈₃	1	8	yes	—
1030	#117	C₂³×C₈₃	1	8	yes	—
1031	C₂×C₄⋊C₄	C₂³×C₈₃	1	4	yes	—
1032	C₂×C₄⋊C₄	C₂³×C₈₃	1	4	yes	—
1033	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
1034	C₂×C₄⋊C₄	C₂³×C₈₃	1	4	yes	—
1035	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
1036	C₂×C₄⋊C₄	C₂³×C₈₃	1	4	yes	—
1037	C₂×C₄⋊C₄	C₂³×C₈₃	1	8	yes	—
1038	C₂×C₄⋊C₄	C₂³×C₈₃	1	8	yes	—
1039	C₂×C₄⋊C₄	C₂³×C₈₃	1	4	yes	—
1040	C₂×C₄⋊C₄	C₂³×C₈₃	1	8	yes	—
1041	C₂×C₂²⋊C₄	C₂³×C₈₃	1	4	yes	—
1042	C₂×C₂²⋊C₄	C₂³×C₈₃	1	4	yes	—
1043	C₂×C₂²⋊C₄	C₂³×C₈₃	1	4	yes	—
1044	C₂×C₂²⋊C₄	C₂³×C₈₃	1	4	yes	—
1045	C₂×C₂²⋊C₄	C₂³×C₈₃	1	4	yes	—
1046	C₂×C₂²⋊C₄	C₂³×C₈₃	1	8	yes	—
1047	C₂×C₂²⋊C₄	C₂³×C₈₃	1	8	yes	—
1048	C₂×C₂²⋊C₄	C₂³×C₈₃	1	8	yes	—
1049	C₂×C₂²⋊C₄	C₂³×C₈₃	1	8	yes	—
1050	C₂×C₄²	C₂³×C₈₃	1	2	yes	—
1051	C₂×C₄²	C₂³×C₈₃	1	4	yes	—
1052	C₂×C₄²	C₂³×C₈₃	1	2	yes	—
1053	C₂×C₄²	C₂³×C₈₃	1	2	yes	—
1054	C₂×C₄²	C₂³×C₈₃	1	2	yes	—
1055	C₂×C₄²	C₂³×C₈₃	1	2	yes	—
1056	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
1057	C₂×C₄²	C₂³×C₈₃	1	2	yes	—
1058	C₂×C₄²	C₂³×C₈₃	1	2	yes	—
1059	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
1060	C₂⁴	C₂⁴×C₈₃	1	1	yes	characteristic
1061	C₂⁴	C₂⁴×C₈₃	1	4	yes	—
1062	C₂⁴	C₂⁴×C₈₃	1	4	yes	—
1063	#41	—	4	2	no	—
1064	#41	—	4	2	no	—
1065	#41	—	4	8	no	—
1066	#41	—	4	16	no	—
1067	#41	—	4	8	no	—
1068	C₂×Q₈	—	4	4	no	—
1069	C₂×Q₈	—	4	4	no	—
1070	C₂×Q₈	C₂⁴×C₈₃	1	4	yes	—
1071	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
1072	C₂×Q₈	C₂⁴×C₈₃	1	8	yes	—
1073	C₂×Q₈	C₂⁴×C₈₃	1	4	yes	—
1074	C₂×Q₈	C₂⁴×C₈₃	1	4	yes	—
1075	C₂×Q₈	C₂⁴×C₈₃	1	4	yes	—
1076	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
1077	C₂×D₄	—	4	4	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	4	8	no	—
1080	C₂×D₄	—	4	16	no	—
1081	C₂×D₄	C₂⁴×C₈₃	1	4	yes	—
1082	C₂×D₄	C₂⁴×C₈₃	1	8	yes	—
1083	C₂×D₄	C₂⁴×C₈₃	1	4	yes	—
1084	C₂×D₄	C₂⁴×C₈₃	1	4	yes	—
1085	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
1086	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
1087	C₂×D₄	C₂⁴×C₈₃	1	8	yes	—
1088	C₂×D₄	C₂⁴×C₈₃	1	8	yes	—
1089	C₂×D₄	C₂⁴×C₈₃	1	4	yes	—
1090	C₂×D₄	C₂⁴×C₈₃	1	4	yes	—
1091	C₂×D₄	C₂⁴×C₈₃	1	8	yes	—
1092	C₂×D₄	C₂⁴×C₈₃	1	8	yes	—
1093	C₂×D₄	C₂⁴×C₈₃	1	4	yes	—
1094	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
1095	C₂×D₄	C₂⁴×C₈₃	1	8	yes	—
1096	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
1097	C₂²×C₄	—	4	2	no	—
1098	C₂²×C₄	—	4	4	no	—
1099	C₂²×C₄	—	4	8	no	—
1100	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1101	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1102	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1103	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1105	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1106	C₂²×C₄	C₂⁴×C₈₃	1	4	yes	—
1107	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1108	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1109	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1110	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1111	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1112	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₈₃	1	4	yes	—
1114	C₂²×C₄	C₂⁴×C₈₃	1	4	yes	—
1115	C₂²×C₄	C₂⁴×C₈₃	1	4	yes	—
1116	C₂²×C₄	C₂⁴×C₈₃	1	4	yes	—
1117	C₂²×C₄	C₂⁴×C₈₃	1	8	yes	—
1118	C₂²×C₄	C₂⁴×C₈₃	1	8	yes	—
1119	C₂²×C₄	C₂⁴×C₈₃	1	4	yes	—
1120	C₂²×C₄	C₂⁴×C₈₃	1	8	yes	—
1121	C₂²×C₄	C₂⁴×C₈₃	1	8	yes	—
1122	C₂²×C₄	C₂⁴×C₈₃	1	8	yes	—
1123	C₂²×C₄	C₂⁴×C₈₃	1	8	yes	—
1124	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1125	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1126	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1127	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1128	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1129	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1130	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1131	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1132	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1133	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1134	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1135	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1136	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1137	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1138	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1139	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1140	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1141	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1142	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1143	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1144	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1145	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1146	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1147	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1148	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1149	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
1150	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1151	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1152	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
1153	C₄⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1154	C₄⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1155	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1156	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1157	C₂²⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1158	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1159	C₂²⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1160	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1161	C₂²⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1162	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1163	C₂²⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1164	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1165	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1166	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1167	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1168	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1169	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1170	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1171	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1172	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1173	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1174	C₂²⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1175	C₂²⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1176	C₂²⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1177	C₂²⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1178	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1179	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1180	C₂²⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1181	C₂²⋊C₄	C₂⁴×C₈₃	1	2	yes	—
1182	C₂²⋊C₄	C₂⁴×C₈₃	1	2	yes	—
1183	C₂²⋊C₄	C₂⁴×C₈₃	1	8	yes	—
1184	C₂²⋊C₄	C₂⁴×C₈₃	1	4	yes	—
1185	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1186	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1187	C₄²	C₂⁴×C₈₃	1	2	yes	—
1188	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1189	C₄²	C₂⁴×C₈₃	1	2	yes	—
1190	C₄²	C₂⁴×C₈₃	1	2	yes	—
1191	C₄²	C₂⁴×C₈₃	1	2	yes	—
1192	C₄²	C₂⁴×C₈₃	1	2	yes	—
1193	C₄²	C₂⁴×C₈₃	1	2	yes	—
1194	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1195	C₄²	C₂⁴×C₈₃	1	4	yes	—
1196	C₄²	C₂⁴×C₈₃	1	8	yes	—
1197	C₄²	C₂⁴×C₈₃	1	8	yes	—
1198	C₄²	C₂⁴×C₈₃	1	4	yes	—
1199	C₄²	C₂⁴×C₈₃	1	2	yes	—
1200	C₄²	C₂⁴×C₈₃	1	2	yes	—
1201	C₄²	C₂⁴×C₈₃	1	4	yes	—
1202	C₄²	C₂⁴×C₈₃	1	8	yes	—
1203	C₄²	C₂⁴×C₈₃	1	8	yes	—
1204	C₄²	C₂⁴×C₈₃	1	4	yes	—
1205	C₂³	—	2	4	no	—
1206	C₂³	—	2	8	no	—
1207	C₂³	—	4	1	no	—
1208	C₂³	—	4	4	no	—
1209	C₂³	—	4	4	no	—
1210	C₂³	—	4	4	no	—
1211	C₂³	—	4	8	no	—
1212	C₂³	C₂⁵×C₈₃	1	2	yes	—
1213	C₂³	C₂⁵×C₈₃	1	8	yes	—
1214	C₂³	C₂⁵×C₈₃	1	1	yes	characteristic
1215	C₂³	C₂⁵×C₈₃	1	2	yes	—
1216	C₂³	C₂⁵×C₈₃	1	2	yes	—
1217	Q₈	—	2	8	no	—
1218	Q₈	—	4	4	no	—
1219	Q₈	—	4	4	no	—
1220	Q₈	—	4	1	no	—
1221	Q₈	—	4	8	no	—
1222	Q₈	—	4	1	no	—
1223	Q₈	—	4	4	no	—
1224	D₄	—	2	16	no	—
1225	D₄	—	2	8	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	2	8	no	—
1228	D₄	—	4	4	no	—
1229	D₄	—	4	4	no	—
1230	D₄	—	4	8	no	—
1231	D₄	—	4	8	no	—
1232	D₄	—	4	8	no	—
1233	D₄	—	4	2	no	—
1234	D₄	—	4	8	no	—
1235	D₄	—	4	1	no	—
1236	D₄	—	4	1	no	—
1237	D₄	—	4	4	no	—
1238	D₄	—	4	2	no	—
1239	D₄	—	4	8	no	—
1240	C₂×C₄	—	2	4	no	—
1241	C₂×C₄	—	2	4	no	—
1242	C₂×C₄	—	2	8	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	4	no	—
1247	C₂×C₄	—	4	2	no	—
1248	C₂×C₄	—	4	2	no	—
1249	C₂×C₄	—	4	8	no	—
1250	C₂×C₄	—	4	8	no	—
1251	C₂×C₄	—	4	2	no	—
1252	C₂×C₄	—	4	2	no	—
1253	C₂×C₄	—	4	2	no	—
1254	C₂×C₄	—	4	1	no	—
1255	C₂×C₄	—	4	4	no	—
1256	C₂×C₄	—	4	8	no	—
1257	C₂×C₄	—	4	4	no	—
1258	C₂×C₄	—	4	4	no	—
1259	C₂×C₄	—	4	4	no	—
1260	C₂×C₄	—	4	4	no	—
1261	C₂×C₄	—	4	8	no	—
1262	C₂×C₄	—	4	8	no	—
1263	C₂×C₄	—	4	8	no	—
1264	C₂×C₄	C₂⁵×C₈₃	1	2	yes	—
1265	C₂×C₄	C₂⁵×C₈₃	1	2	yes	—
1266	C₂×C₄	C₂⁵×C₈₃	1	2	yes	—
1267	C₂×C₄	C₂⁵×C₈₃	1	2	yes	—
1268	C₂×C₄	C₂⁵×C₈₃	1	4	yes	—
1269	C₂×C₄	C₂⁵×C₈₃	1	8	yes	—
1270	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1271	C₂×C₄	C₂⁵×C₈₃	1	2	yes	—
1272	C₂×C₄	C₂⁵×C₈₃	1	2	yes	—
1273	C₂×C₄	C₂⁵×C₈₃	1	4	yes	—
1274	C₂×C₄	C₂⁵×C₈₃	1	8	yes	—
1275	C₂×C₄	C₂⁵×C₈₃	1	2	yes	—
1276	C₂×C₄	C₂⁵×C₈₃	1	8	yes	—
1277	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1278	C₂²	—	2	2	no	—
1279	C₂²	—	2	2	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	2	1	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	4	no	—
1284	C₂²	—	2	8	no	—
1285	C₂²	—	2	2	no	—
1286	C₂²	—	2	8	no	—
1287	C₂²	—	2	8	no	—
1288	C₂²	—	2	4	no	—
1289	C₂²	—	4	4	no	—
1290	C₂²	—	8	8	no	—
1291	C₂²	—	16	4	no	—
1292	C₂²	#585×C₈₃	1	4	yes	—
1293	C₂²	C₂⁶×C₈₃	1	1	yes	characteristic
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	2	8	no	—
1298	C₄	—	2	2	no	—
1299	C₄	—	2	2	no	—
1300	C₄	—	2	2	no	—
1301	C₄	—	2	1	no	—
1302	C₄	—	2	2	no	—
1303	C₄	—	2	8	no	—
1304	C₄	—	2	4	no	—
1305	C₄	—	2	4	no	—
1306	C₄	—	2	8	no	—
1307	C₄	#585×C₈₃	1	2	yes	—
1308	C₂	—	2	4	no	—
1309	C₂	—	4	1	no	—
1310	C₂	—	4	8	no	—
1311	C₂	—	4	2	no	—
1312	C₂	—	4	2	no	—
1313	C₂	C₂×#585×C₈₃	1	2	yes	—
1314	C₂	C₂×#585×C₈₃	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₈₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₈₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₈₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₃×#3566	C₂	semidirect
2. C₈₃×#3564	C₂	semidirect
3. C₈₃×#3560	C₂	semidirect
4. C₈₃×#3557	C₂	semidirect
5. C₈₃×#3551	C₂	semidirect
6. C₈₃×#3538	C₂	semidirect
7. C₈₃×#3537	C₂	semidirect
8. C₈₃×#3536	C₂	semidirect
9. C₈₃×#3516	C₂	semidirect
10. C₈₃×#3515	C₂	semidirect
11. C₈₃×#3514	C₂	semidirect
12. C₈₃×#3513	C₂	semidirect
13. C₈₃×#3513	C₂	semidirect
14. C₈₃×#3512	C₂	semidirect
15. C₈₃×#3510	C₂	semidirect
16. C₈₃×#3493	C₂	semidirect
17. C₈₃×#3491	C₂	semidirect
18. C₈₃×#3444	C₂	semidirect
19. C₂×#529×C₈₃	C₂	semidirect
20. #563×C₈₃	C₂²	semidirect
21. #563×C₈₃	C₂²	semidirect
22. #563×C₈₃	C₂²	semidirect
23. #562×C₈₃	C₂²	semidirect
25. #560×C₈₃	C₂²	semidirect
26. #559×C₈₃	C₂²	semidirect
27. #559×C₈₃	C₂²	semidirect
28. #557×C₈₃	C₂²	semidirect
29. #556×C₈₃	C₂²	semidirect
30. #556×C₈₃	C₂²	semidirect
31. #556×C₈₃	C₂²	semidirect
32. #555×C₈₃	C₂²	semidirect
33. #555×C₈₃	C₂²	semidirect
34. #554×C₈₃	C₂²	semidirect
35. #554×C₈₃	C₂²	semidirect
36. #554×C₈₃	C₂²	semidirect
38. #553×C₈₃	C₂²	semidirect
39. #553×C₈₃	C₂²	semidirect
40. #553×C₈₃	C₂²	semidirect
41. #553×C₈₃	C₂²	semidirect
42. #553×C₈₃	C₂²	semidirect
43. #553×C₈₃	C₂²	semidirect
44. #552×C₈₃	C₂²	semidirect
45. #552×C₈₃	C₂²	semidirect
46. #552×C₈₃	C₂²	semidirect
47. #552×C₈₃	C₂²	semidirect
48. #552×C₈₃	C₂²	semidirect
49. #552×C₈₃	C₂²	semidirect
50. #552×C₈₃	C₂²	semidirect
51. #552×C₈₃	C₂²	semidirect
52. #551×C₈₃	C₂²	semidirect
53. #551×C₈₃	C₂²	semidirect
54. #551×C₈₃	C₂²	semidirect
55. #551×C₈₃	C₂²	semidirect
56. #551×C₈₃	C₂²	semidirect
57. #551×C₈₃	C₂²	semidirect
58. #551×C₈₃	C₂²	semidirect
59. #551×C₈₃	C₂²	semidirect
60. D₄×Q₈×C₈₃	C₂²	semidirect
61. #548×C₈₃	C₂²	semidirect
62. #548×C₈₃	C₂²	semidirect
63. #547×C₈₃	C₂²	semidirect
64. #547×C₈₃	C₂²	semidirect
65. #546×C₈₃	C₂²	semidirect
66. #546×C₈₃	C₂²	semidirect
67. #546×C₈₃	C₂²	semidirect
68. #546×C₈₃	C₂²	semidirect
69. #546×C₈₃	C₂²	semidirect
72. #544×C₈₃	C₂²	semidirect
73. #543×C₈₃	C₂²	semidirect
74. #542×C₈₃	C₂²	semidirect
75. #542×C₈₃	C₂²	semidirect
76. #542×C₈₃	C₂²	semidirect
77. #542×C₈₃	C₂²	semidirect
78. #542×C₈₃	C₂²	semidirect
79. #541×C₈₃	C₂²	semidirect
80. #541×C₈₃	C₂²	semidirect
81. #541×C₈₃	C₂²	semidirect
82. #541×C₈₃	C₂²	semidirect
84. #540×C₈₃	C₂²	semidirect
85. #540×C₈₃	C₂²	semidirect
86. #539×C₈₃	C₂²	semidirect
87. #539×C₈₃	C₂²	semidirect
88. #539×C₈₃	C₂²	semidirect
89. #539×C₈₃	C₂²	semidirect
90. #539×C₈₃	C₂²	semidirect
91. #539×C₈₃	C₂²	semidirect
93. #538×C₈₃	C₂²	semidirect
94. #538×C₈₃	C₂²	semidirect
95. #538×C₈₃	C₂²	semidirect
96. #538×C₈₃	C₂²	semidirect
97. #538×C₈₃	C₂²	semidirect
98. #537×C₈₃	C₂²	semidirect
99. #537×C₈₃	C₂²	semidirect
100. #536×C₈₃	C₂²	semidirect
103. #533×C₈₃	C₂²	semidirect
104. #533×C₈₃	C₂²	semidirect
105. #533×C₈₃	C₂²	semidirect
106. #532×C₈₃	C₂²	semidirect
107. #532×C₈₃	C₂²	semidirect
108. #532×C₈₃	C₂²	semidirect
109. #529×C₈₃	C₂²	semidirect
110. #529×C₈₃	C₂²	semidirect
111. #529×C₈₃	C₂²	semidirect
112. #529×C₈₃	C₂²	semidirect
113. #529×C₈₃	C₂²	semidirect
114. #529×C₈₃	C₂²	semidirect
115. #529×C₈₃	C₂²	semidirect
116. #529×C₈₃	C₂²	semidirect
117. #529×C₈₃	C₂²	semidirect
118. #529×C₈₃	C₂²	semidirect
119. #529×C₈₃	C₂²	semidirect
120. #529×C₈₃	C₂²	semidirect
121. #529×C₈₃	C₂²	semidirect
122. #529×C₈₃	C₂²	semidirect
123. #529×C₈₃	C₂²	semidirect
124. #529×C₈₃	C₂²	semidirect
125. C₂×#126×C₈₃	C₂²	semidirect
126. C₂×#125×C₈₃	C₂²	semidirect
127. C₂×#125×C₈₃	C₂²	semidirect
128. C₂×#124×C₈₃	C₂²	semidirect
129. C₂×#124×C₈₃	C₂²	semidirect
131. #525×C₈₃	C₂²	semidirect
132. #525×C₈₃	C₂²	semidirect
133. #525×C₈₃	C₂²	semidirect
134. C₂×#123×C₈₃	C₂²	semidirect
135. C₂×#123×C₈₃	C₂²	semidirect
136. C₂×C₂²⋊Q₈×C₈₃	C₂²	semidirect
138. #520×C₈₃	C₂²	semidirect
139. #520×C₈₃	C₂²	semidirect
140. #519×C₈₃	C₂²	semidirect
141. #518×C₈₃	C₂²	semidirect
142. #518×C₈₃	C₂²	semidirect
143. C₄×#41×C₈₃	C₂²	semidirect
144. C₄×#41×C₈₃	C₂²	semidirect
145. C₄×#41×C₈₃	C₂²	semidirect
146. C₂×C₄×Q₈×C₈₃	C₂²	semidirect
147. C₂×C₄×D₄×C₈₃	C₂²	semidirect
148. C₂×C₄×D₄×C₈₃	C₂²	semidirect
149. C₂×#117×C₈₃	C₂²	semidirect
150. C₂²×C₄²×C₈₃	C₂²	semidirect
650. #62829	C₈₃	direct (N × H)
658. #3566	C₂×C₈₃	semidirect
659. #3564	C₂×C₈₃	semidirect
660. #3560	C₂×C₈₃	semidirect
661. #3557	C₂×C₈₃	semidirect
662. #3551	C₂×C₈₃	semidirect
663. #3538	C₂×C₈₃	semidirect
664. #3537	C₂×C₈₃	semidirect
665. #3536	C₂×C₈₃	semidirect
666. #3516	C₂×C₈₃	semidirect
667. #3515	C₂×C₈₃	semidirect
668. #3514	C₂×C₈₃	semidirect
669. #3513	C₂×C₈₃	semidirect
670. #3513	C₂×C₈₃	semidirect
671. #3512	C₂×C₈₃	semidirect
672. #3510	C₂×C₈₃	semidirect
673. #3493	C₂×C₈₃	semidirect
674. #3491	C₂×C₈₃	semidirect
675. #3444	C₂×C₈₃	semidirect
676. C₂×#529	C₂×C₈₃	semidirect
677. C₈₃	#62829	direct (N × H)
678. #563	C₂²×C₈₃	semidirect
679. #563	C₂²×C₈₃	semidirect
680. #563	C₂²×C₈₃	semidirect
681. #562	C₂²×C₈₃	semidirect
683. #560	C₂²×C₈₃	semidirect
684. #559	C₂²×C₈₃	semidirect
685. #559	C₂²×C₈₃	semidirect
686. #557	C₂²×C₈₃	semidirect
687. #556	C₂²×C₈₃	semidirect
688. #556	C₂²×C₈₃	semidirect
689. #556	C₂²×C₈₃	semidirect
690. #555	C₂²×C₈₃	semidirect
691. #555	C₂²×C₈₃	semidirect
692. #554	C₂²×C₈₃	semidirect
693. #554	C₂²×C₈₃	semidirect
694. #554	C₂²×C₈₃	semidirect
696. #553	C₂²×C₈₃	semidirect
697. #553	C₂²×C₈₃	semidirect
698. #553	C₂²×C₈₃	semidirect
699. #553	C₂²×C₈₃	semidirect
700. #553	C₂²×C₈₃	semidirect
701. #553	C₂²×C₈₃	semidirect
702. #552	C₂²×C₈₃	semidirect
703. #552	C₂²×C₈₃	semidirect
704. #552	C₂²×C₈₃	semidirect
705. #552	C₂²×C₈₃	semidirect
706. #552	C₂²×C₈₃	semidirect
707. #552	C₂²×C₈₃	semidirect
708. #552	C₂²×C₈₃	semidirect
709. #552	C₂²×C₈₃	semidirect
710. #551	C₂²×C₈₃	semidirect
711. #551	C₂²×C₈₃	semidirect
712. #551	C₂²×C₈₃	semidirect
713. #551	C₂²×C₈₃	semidirect
714. #551	C₂²×C₈₃	semidirect
715. #551	C₂²×C₈₃	semidirect
716. #551	C₂²×C₈₃	semidirect
717. #551	C₂²×C₈₃	semidirect
718. D₄×Q₈	C₂²×C₈₃	semidirect
719. #548	C₂²×C₈₃	semidirect
720. #548	C₂²×C₈₃	semidirect
721. #547	C₂²×C₈₃	semidirect
722. #547	C₂²×C₈₃	semidirect
723. #546	C₂²×C₈₃	semidirect
724. #546	C₂²×C₈₃	semidirect
725. #546	C₂²×C₈₃	semidirect
726. #546	C₂²×C₈₃	semidirect
727. #546	C₂²×C₈₃	semidirect
730. #544	C₂²×C₈₃	semidirect
731. #543	C₂²×C₈₃	semidirect
732. #542	C₂²×C₈₃	semidirect
733. #542	C₂²×C₈₃	semidirect
734. #542	C₂²×C₈₃	semidirect
735. #542	C₂²×C₈₃	semidirect
736. #542	C₂²×C₈₃	semidirect
737. #541	C₂²×C₈₃	semidirect
738. #541	C₂²×C₈₃	semidirect
739. #541	C₂²×C₈₃	semidirect
740. #541	C₂²×C₈₃	semidirect
742. #540	C₂²×C₈₃	semidirect
743. #540	C₂²×C₈₃	semidirect
744. #539	C₂²×C₈₃	semidirect
745. #539	C₂²×C₈₃	semidirect
746. #539	C₂²×C₈₃	semidirect
747. #539	C₂²×C₈₃	semidirect
748. #539	C₂²×C₈₃	semidirect
749. #539	C₂²×C₈₃	semidirect
751. #538	C₂²×C₈₃	semidirect
752. #538	C₂²×C₈₃	semidirect
753. #538	C₂²×C₈₃	semidirect
754. #538	C₂²×C₈₃	semidirect
755. #538	C₂²×C₈₃	semidirect
756. #537	C₂²×C₈₃	semidirect
757. #537	C₂²×C₈₃	semidirect
758. #536	C₂²×C₈₃	semidirect
761. #533	C₂²×C₈₃	semidirect
762. #533	C₂²×C₈₃	semidirect
763. #533	C₂²×C₈₃	semidirect
764. #532	C₂²×C₈₃	semidirect
765. #532	C₂²×C₈₃	semidirect
766. #532	C₂²×C₈₃	semidirect
767. #529	C₂²×C₈₃	semidirect
768. #529	C₂²×C₈₃	semidirect
769. #529	C₂²×C₈₃	semidirect
770. #529	C₂²×C₈₃	semidirect
771. #529	C₂²×C₈₃	semidirect
772. #529	C₂²×C₈₃	semidirect
773. #529	C₂²×C₈₃	semidirect
774. #529	C₂²×C₈₃	semidirect
775. #529	C₂²×C₈₃	semidirect
776. #529	C₂²×C₈₃	semidirect
777. #529	C₂²×C₈₃	semidirect
778. #529	C₂²×C₈₃	semidirect
779. #529	C₂²×C₈₃	semidirect
780. #529	C₂²×C₈₃	semidirect
781. #529	C₂²×C₈₃	semidirect
782. #529	C₂²×C₈₃	semidirect
783. C₂×#126	C₂²×C₈₃	semidirect
784. C₂×#125	C₂²×C₈₃	semidirect
785. C₂×#125	C₂²×C₈₃	semidirect
786. C₂×#124	C₂²×C₈₃	semidirect
787. C₂×#124	C₂²×C₈₃	semidirect
789. #525	C₂²×C₈₃	semidirect
790. #525	C₂²×C₈₃	semidirect
791. #525	C₂²×C₈₃	semidirect
792. C₂×#123	C₂²×C₈₃	semidirect
793. C₂×#123	C₂²×C₈₃	semidirect
794. C₂×C₂²⋊Q₈	C₂²×C₈₃	semidirect
796. #520	C₂²×C₈₃	semidirect
797. #520	C₂²×C₈₃	semidirect
798. #519	C₂²×C₈₃	semidirect
799. #518	C₂²×C₈₃	semidirect
800. #518	C₂²×C₈₃	semidirect
801. C₄×#41	C₂²×C₈₃	semidirect
802. C₄×#41	C₂²×C₈₃	semidirect
803. C₄×#41	C₂²×C₈₃	semidirect
804. C₂×C₄×Q₈	C₂²×C₈₃	semidirect
805. C₂×C₄×D₄	C₂²×C₈₃	semidirect
806. C₂×C₄×D₄	C₂²×C₈₃	semidirect
807. C₂×#117	C₂²×C₈₃	semidirect
808. C₂²×C₄²	C₂²×C₈₃	semidirect

Maximal subgroups

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

subgroup	index
C₈₃×#3566	2
C₈₃×#3564	2
C₈₃×#3560	2
C₈₃×#3557	2
C₈₃×#3551	2
C₈₃×#3538	2
C₈₃×#3537	2
C₈₃×#3536	2
C₈₃×#3516	2
C₈₃×#3515	2
C₈₃×#3514	2
C₈₃×#3513	2
C₈₃×#3512	2
C₈₃×#3510	2
C₈₃×#3493	2
C₈₃×#3491	2
C₈₃×#3444	2
C₂×#529×C₈₃	2
#62829	83

Subgroups — C83×#62829 #35290653

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#62829 #35290653