Subgroups — C₈₃×#61785 #35289609

Order 21248.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1148 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₃×#3547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₃×#3357	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₃×#3354	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₃×#3351	C₂	1	2	yes	maximal, complemented
6	C₈₃×#3341	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₃×#3337	C₂	1	2	yes	maximal, complemented
8	C₈₃×#3335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₃×#3329	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₃×#3326	C₂	1	2	yes	maximal, complemented
12	C₈₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₃×#3301	C₂	1	2	yes	maximal, complemented
14	C₈₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₃×#3231	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₃×#3200	C₂	1	2	yes	maximal, complemented
18	C₈₃×#3198	C₂	1	2	yes	maximal, complemented
19	C₈₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₃×#3101	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₃×#3099	C₂	1	2	yes	maximal, complemented
22	C₈₃×#3097	C₂	1	2	yes	maximal, complemented
23	C₈₃×#2979	C₂	1	1	yes	maximal, characteristic, complemented
24	#562×C₈₃	—	2	2	no	—
25	#559×C₈₃	—	2	2	no	—
26	#556×C₈₃	—	2	1	no	—
27	#555×C₈₃	—	2	1	no	—
28	#555×C₈₃	C₂²	1	1	yes	characteristic
29	#555×C₈₃	C₂²	1	1	yes	characteristic
30	#555×C₈₃	C₂²	1	1	yes	characteristic, complemented
31	#554×C₈₃	C₂²	1	1	yes	characteristic, complemented
32	#553×C₈₃	—	2	1	no	—
33	#553×C₈₃	C₂²	1	2	yes	—
34	#553×C₈₃	C₂²	1	2	yes	—
35	#552×C₈₃	C₂²	1	2	yes	complemented
36	#550×C₈₃	—	2	1	no	—
37	D₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
38	#548×C₈₃	C₂²	1	2	yes	complemented
39	#547×C₈₃	C₂²	1	1	yes	characteristic
40	#547×C₈₃	C₂²	1	1	yes	characteristic
41	#547×C₈₃	C₂²	1	1	yes	characteristic, complemented
42	#544×C₈₃	—	2	1	no	—
43	#542×C₈₃	—	2	2	no	—
44	#540×C₈₃	—	2	1	no	—
45	#538×C₈₃	—	2	2	no	—
46	#537×C₈₃	C₂²	1	2	yes	—
47	#536×C₈₃	C₂²	1	2	yes	—
48	#535×C₈₃	C₂²	1	2	yes	—
49	#533×C₈₃	C₂²	1	1	yes	characteristic
50	#533×C₈₃	C₂²	1	1	yes	characteristic
51	#532×C₈₃	C₂²	1	1	yes	characteristic
52	#529×C₈₃	C₂²	1	1	yes	characteristic
53	#525×C₈₃	—	2	1	no	—
54	#525×C₈₃	—	2	1	no	—
55	#520×C₈₃	C₂²	1	2	yes	—
56	C₂×C₄×D₄×C₈₃	C₂²	1	1	yes	characteristic
57	#500×C₈₃	C₂²	1	1	yes	characteristic, complemented
58	#499×C₈₃	C₂²	1	2	yes	complemented
59	#498×C₈₃	C₂²	1	1	yes	characteristic, complemented
60	#488×C₈₃	C₂²	1	2	yes	complemented
61	#487×C₈₃	C₂²	1	1	yes	characteristic, complemented
62	#487×C₈₃	C₂²	1	1	yes	characteristic, complemented
63	#485×C₈₃	C₂²	1	2	yes	—
64	#485×C₈₃	C₂²	1	2	yes	—
65	#485×C₈₃	C₂²	1	2	yes	—
66	#485×C₈₃	C₂²	1	2	yes	complemented
67	#485×C₈₃	C₂²	1	2	yes	complemented
68	#485×C₈₃	C₂²	1	2	yes	complemented
69	#484×C₈₃	C₂²	1	1	yes	characteristic
70	#484×C₈₃	C₂²	1	2	yes	complemented
71	#483×C₈₃	C₂²	1	2	yes	—
72	#483×C₈₃	C₂²	1	2	yes	complemented
73	#483×C₈₃	C₂²	1	2	yes	complemented
74	#482×C₈₃	C₂²	1	2	yes	—
75	#482×C₈₃	C₂²	1	2	yes	—
76	#482×C₈₃	C₂²	1	2	yes	—
77	#482×C₈₃	C₂²	1	2	yes	complemented
78	#481×C₈₃	C₂²	1	2	yes	—
79	#481×C₈₃	C₂²	1	1	yes	characteristic
80	#481×C₈₃	C₂²	1	2	yes	complemented
81	#480×C₈₃	C₂²	1	2	yes	—
82	#479×C₈₃	C₂²	1	2	yes	complemented
83	#479×C₈₃	C₂²	1	2	yes	complemented
84	#478×C₈₃	C₂²	1	1	yes	characteristic
85	#478×C₈₃	C₂²	1	1	yes	characteristic
86	#477×C₈₃	C₂²	1	1	yes	characteristic, complemented
87	#476×C₈₃	C₂²	1	1	yes	characteristic
88	#476×C₈₃	C₂²	1	1	yes	characteristic
89	#476×C₈₃	C₂²	1	1	yes	characteristic, complemented
90	#475×C₈₃	C₂²	1	1	yes	characteristic, complemented
91	#474×C₈₃	C₂²	1	1	yes	characteristic, complemented
92	#469×C₈₃	C₂²	1	2	yes	—
93	#468×C₈₃	C₂²	1	2	yes	—
94	#468×C₈₃	C₂²	1	2	yes	—
95	#468×C₈₃	C₂²	1	2	yes	—
96	#466×C₈₃	C₂²	1	2	yes	—
97	#465×C₈₃	C₂²	1	2	yes	—
98	#465×C₈₃	C₂²	1	2	yes	—
99	#465×C₈₃	C₂²	1	2	yes	—
100	#463×C₈₃	C₂²	1	1	yes	characteristic
101	#463×C₈₃	C₂²	1	1	yes	characteristic
102	#461×C₈₃	C₂²	1	1	yes	characteristic
103	#461×C₈₃	C₂²	1	1	yes	characteristic
104	#450×C₈₃	C₂²	1	2	yes	—
105	#450×C₈₃	C₂²	1	1	yes	characteristic
106	#449×C₈₃	C₂²	1	2	yes	—
107	#449×C₈₃	C₂²	1	2	yes	—
108	#448×C₈₃	C₂²	1	2	yes	—
109	#448×C₈₃	C₂²	1	2	yes	—
110	#447×C₈₃	C₂²	1	1	yes	characteristic
111	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
112	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
113	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
114	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
115	C₄×D₈×C₈₃	C₂²	1	1	yes	characteristic
116	C₄×D₈×C₈₃	C₂²	1	1	yes	characteristic
117	#436×C₈₃	C₂²	1	2	yes	complemented
118	#436×C₈₃	C₂²	1	1	yes	characteristic, complemented
119	#436×C₈₃	C₂²	1	1	yes	characteristic, complemented
120	C₈×D₄×C₈₃	C₂²	1	1	yes	characteristic, complemented
121	C₈×D₄×C₈₃	C₂²	1	2	yes	complemented
122	C₈×D₄×C₈₃	C₂²	1	1	yes	characteristic, complemented
123	#431×C₈₃	C₂²	1	1	yes	characteristic
124	#431×C₈₃	C₂²	1	1	yes	characteristic
125	#428×C₈₃	C₂²	1	2	yes	complemented
126	#428×C₈₃	C₂²	1	2	yes	complemented
127	#427×C₈₃	C₂²	1	2	yes	complemented
128	C₂×#106×C₈₃	C₂²	1	2	yes	complemented
129	#419×C₈₃	C₂²	1	2	yes	complemented
130	#417×C₈₃	C₂²	1	2	yes	complemented
131	#416×C₈₃	C₂²	1	2	yes	complemented
132	C₂×#103×C₈₃	C₂²	1	2	yes	complemented
133	#408×C₈₃	C₂²	1	2	yes	—
134	#408×C₈₃	C₂²	1	2	yes	—
135	C₂×#41×C₈₃	—	2	1	no	—
136	C₂×#41×C₈₃	—	2	1	no	—
137	C₂×#41×C₈₃	C₂³	1	2	yes	—
138	C₂×#41×C₈₃	C₂³	1	2	yes	—
139	C₂²×Q₈×C₈₃	C₂³	1	2	yes	—
140	C₂²×D₄×C₈₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₈₃	—	2	1	no	—
142	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic
143	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic
144	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
145	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
146	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
147	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
148	C₂×M₁₆×C₈₃	C₂³	1	2	yes	—
149	C₂×M₁₆×C₈₃	C₂³	1	2	yes	—
150	C₂²×C₈×C₈₃	C₂³	1	2	yes	—
151	C₂²×C₈×C₈₃	C₂³	1	2	yes	—
152	C₄⋊Q₈×C₈₃	—	2	2	no	—
153	C₄⋊Q₈×C₈₃	—	2	1	no	—
154	C₄⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
155	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
156	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
157	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
158	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
159	#127×C₈₃	—	2	2	no	—
160	#127×C₈₃	D₄	1	1	yes	characteristic
161	#126×C₈₃	—	2	2	no	—
162	#126×C₈₃	—	2	2	no	—
163	#126×C₈₃	—	2	2	no	—
164	#126×C₈₃	—	2	1	no	—
165	#125×C₈₃	—	2	2	no	—
166	#125×C₈₃	—	2	1	no	—
167	#125×C₈₃	—	2	1	no	—
168	#125×C₈₃	C₂³	1	1	yes	characteristic
169	#125×C₈₃	C₂³	1	2	yes	—
170	#124×C₈₃	—	2	2	no	—
171	#124×C₈₃	—	2	2	no	—
172	#124×C₈₃	—	2	2	no	—
173	#124×C₈₃	—	2	2	no	—
174	#124×C₈₃	—	2	2	no	—
175	#124×C₈₃	—	2	2	no	—
176	#124×C₈₃	D₄	1	2	yes	—
177	#124×C₈₃	C₂³	1	1	yes	characteristic
178	#123×C₈₃	—	2	2	no	—
179	#123×C₈₃	—	2	2	no	—
180	#123×C₈₃	—	2	2	no	—
181	#123×C₈₃	—	2	1	no	—
182	#123×C₈₃	—	2	2	no	—
183	#123×C₈₃	—	2	2	no	—
184	#123×C₈₃	—	2	2	no	—
185	#123×C₈₃	—	2	2	no	—
186	#123×C₈₃	—	2	2	no	—
187	C₂²⋊Q₈×C₈₃	—	2	2	no	—
188	C₂²⋊Q₈×C₈₃	—	2	1	no	—
189	C₂²⋊Q₈×C₈₃	—	2	1	no	—
190	C₂²⋊Q₈×C₈₃	—	2	1	no	—
191	C₂²⋊Q₈×C₈₃	—	2	1	no	—
192	C₂²⋊Q₈×C₈₃	—	2	1	no	—
193	C₂²⋊Q₈×C₈₃	—	2	2	no	—
194	C₂²⋊Q₈×C₈₃	—	2	2	no	—
195	C₂²⋊Q₈×C₈₃	—	2	2	no	—
196	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
197	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
198	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
199	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
200	C₂²⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
201	#121×C₈₃	—	2	1	no	—
202	#121×C₈₃	—	2	1	no	—
203	#121×C₈₃	—	2	2	no	—
204	#121×C₈₃	—	2	2	no	—
205	#121×C₈₃	—	2	2	no	—
206	#121×C₈₃	—	2	2	no	—
207	#121×C₈₃	—	2	2	no	—
208	#121×C₈₃	—	2	1	no	—
209	#121×C₈₃	—	2	2	no	—
210	#121×C₈₃	—	2	1	no	—
211	#121×C₈₃	D₄	1	1	yes	characteristic
212	#121×C₈₃	D₄	1	1	yes	characteristic
213	#121×C₈₃	D₄	1	2	yes	—
214	#121×C₈₃	C₂³	1	2	yes	—
215	#121×C₈₃	C₂³	1	2	yes	—
216	#121×C₈₃	C₂³	1	2	yes	—
217	#121×C₈₃	C₂³	1	2	yes	—
218	#121×C₈₃	C₂³	1	2	yes	—
219	#121×C₈₃	C₂³	1	1	yes	characteristic
220	#120×C₈₃	—	2	2	no	—
221	#120×C₈₃	—	2	2	no	—
222	C₄×Q₈×C₈₃	—	2	2	no	—
223	C₄×Q₈×C₈₃	—	2	1	no	—
224	C₄×Q₈×C₈₃	—	2	1	no	—
225	C₄×Q₈×C₈₃	—	2	1	no	—
226	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
228	C₄×D₄×C₈₃	—	2	2	no	—
229	C₄×D₄×C₈₃	—	2	2	no	—
230	C₄×D₄×C₈₃	—	2	2	no	—
231	C₄×D₄×C₈₃	—	2	1	no	—
232	C₄×D₄×C₈₃	—	2	1	no	—
233	C₄×D₄×C₈₃	—	2	1	no	—
234	C₄×D₄×C₈₃	—	2	2	no	—
235	C₄×D₄×C₈₃	—	2	2	no	—
236	C₄×D₄×C₈₃	—	2	2	no	—
237	C₄×D₄×C₈₃	—	2	1	no	—
238	C₄×D₄×C₈₃	—	2	1	no	—
239	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₈₃	C₂³	1	2	yes	—
247	#117×C₈₃	—	2	1	no	—
248	#117×C₈₃	—	2	1	no	—
249	#117×C₈₃	—	2	1	no	—
250	#117×C₈₃	—	2	1	no	—
251	#117×C₈₃	—	2	2	no	—
252	#117×C₈₃	—	2	1	no	—
253	#117×C₈₃	C₂³	1	2	yes	—
254	#117×C₈₃	C₂³	1	2	yes	—
255	#117×C₈₃	C₂³	1	2	yes	—
256	#117×C₈₃	C₂³	1	2	yes	—
257	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
258	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
259	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
261	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
262	C₂×C₂²⋊C₄×C₈₃	—	2	1	no	—
263	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
264	#107×C₈₃	C₂³	1	2	yes	—
265	#107×C₈₃	C₂³	1	2	yes	—
266	#107×C₈₃	C₂³	1	2	yes	—
267	#107×C₈₃	C₂³	1	2	yes	—
268	#107×C₈₃	C₂³	1	1	yes	characteristic
269	#107×C₈₃	C₂³	1	1	yes	characteristic
270	#106×C₈₃	C₂³	1	2	yes	—
271	#106×C₈₃	C₂³	1	2	yes	—
272	#106×C₈₃	C₂³	1	2	yes	—
273	#106×C₈₃	C₂³	1	2	yes	—
274	#106×C₈₃	C₂³	1	2	yes	—
275	#106×C₈₃	C₂³	1	2	yes	—
276	#106×C₈₃	C₂³	1	1	yes	characteristic
277	#106×C₈₃	C₂³	1	1	yes	characteristic
278	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
279	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
280	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
282	#103×C₈₃	C₂³	1	1	yes	characteristic
283	#103×C₈₃	C₂³	1	1	yes	characteristic
284	#103×C₈₃	C₂³	1	2	yes	—
285	#103×C₈₃	C₂³	1	2	yes	—
286	#103×C₈₃	C₂³	1	2	yes	—
287	#103×C₈₃	C₂³	1	2	yes	—
288	#103×C₈₃	C₂³	1	2	yes	—
289	#103×C₈₃	C₂³	1	2	yes	—
290	#103×C₈₃	C₂³	1	2	yes	—
291	#103×C₈₃	C₂³	1	2	yes	—
292	#102×C₈₃	C₂³	1	1	yes	characteristic
293	#102×C₈₃	C₂³	1	1	yes	characteristic
294	#102×C₈₃	C₂³	1	1	yes	characteristic
295	#102×C₈₃	C₂³	1	1	yes	characteristic
296	#102×C₈₃	C₂³	1	2	yes	—
297	#102×C₈₃	C₂³	1	2	yes	—
298	#102×C₈₃	C₂³	1	1	yes	characteristic
299	#102×C₈₃	C₂³	1	1	yes	characteristic
300	#102×C₈₃	C₂³	1	2	yes	—
301	#102×C₈₃	C₂³	1	2	yes	—
302	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
303	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
305	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
307	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₈₃	C₂³	1	2	yes	—
312	C₂⁴×C₈₃	—	2	1	no	—
313	#41×C₈₃	—	4	2	no	—
314	#41×C₈₃	—	4	2	no	—
315	#41×C₈₃	—	4	2	no	—
316	#41×C₈₃	—	4	2	no	—
317	#41×C₈₃	—	8	2	no	—
318	#41×C₈₃	—	8	2	no	—
319	C₂×Q₈×C₈₃	—	2	1	no	—
320	C₂×Q₈×C₈₃	—	2	1	no	—
321	C₂×Q₈×C₈₃	—	2	1	no	—
322	C₂×Q₈×C₈₃	—	2	2	no	—
323	C₂×Q₈×C₈₃	—	4	2	no	—
324	C₂×Q₈×C₈₃	—	4	2	no	—
325	C₂×Q₈×C₈₃	C₂×D₄	1	2	yes	—
326	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
327	C₂×Q₈×C₈₃	C₂⁴	1	2	yes	—
328	C₂×D₄×C₈₃	—	2	2	no	—
329	C₂×D₄×C₈₃	—	2	2	no	—
330	C₂×D₄×C₈₃	—	2	1	no	—
331	C₂×D₄×C₈₃	—	2	2	no	—
332	C₂×D₄×C₈₃	—	2	2	no	—
333	C₂×D₄×C₈₃	—	2	2	no	—
334	C₂×D₄×C₈₃	—	2	2	no	—
335	C₂×D₄×C₈₃	—	2	1	no	—
336	C₂×D₄×C₈₃	—	4	1	no	—
337	C₂×D₄×C₈₃	—	4	1	no	—
338	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
339	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
340	C₂×D₄×C₈₃	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₈₃	C₂×D₄	1	2	yes	—
342	C₂×D₄×C₈₃	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₈₃	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
345	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₈₃	—	2	1	no	—
348	C₂²×C₄×C₈₃	—	2	2	no	—
349	C₂²×C₄×C₈₃	—	2	2	no	—
350	C₂²×C₄×C₈₃	—	2	2	no	—
351	C₂²×C₄×C₈₃	—	2	2	no	—
352	C₂²×C₄×C₈₃	—	2	1	no	—
353	C₂²×C₄×C₈₃	—	2	1	no	—
354	C₂²×C₄×C₈₃	—	2	1	no	—
355	C₂²×C₄×C₈₃	—	2	2	no	—
356	C₂²×C₄×C₈₃	—	2	1	no	—
357	C₂²×C₄×C₈₃	—	2	1	no	—
358	C₂²×C₄×C₈₃	—	8	2	no	—
359	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
360	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
361	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
363	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
364	SD₁₆×C₈₃	—	4	1	no	—
365	SD₁₆×C₈₃	—	4	2	no	—
366	SD₁₆×C₈₃	—	4	1	no	—
367	SD₁₆×C₈₃	—	4	2	no	—
368	D₈×C₈₃	—	4	1	no	—
369	D₈×C₈₃	—	4	1	no	—
370	M₁₆×C₈₃	—	4	2	no	—
371	M₁₆×C₈₃	—	4	2	no	—
372	C₂×C₈×C₈₃	—	4	2	no	—
373	C₂×C₈×C₈₃	—	4	2	no	—
374	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
376	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
378	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
380	C₄⋊C₄×C₈₃	—	2	1	no	—
381	C₄⋊C₄×C₈₃	—	2	2	no	—
382	C₄⋊C₄×C₈₃	—	2	1	no	—
383	C₄⋊C₄×C₈₃	—	2	2	no	—
384	C₄⋊C₄×C₈₃	—	2	2	no	—
385	C₄⋊C₄×C₈₃	—	2	2	no	—
386	C₄⋊C₄×C₈₃	—	2	1	no	—
387	C₄⋊C₄×C₈₃	—	2	1	no	—
388	C₄⋊C₄×C₈₃	—	2	1	no	—
389	C₄⋊C₄×C₈₃	—	2	2	no	—
390	C₄⋊C₄×C₈₃	—	2	1	no	—
391	C₄⋊C₄×C₈₃	—	2	1	no	—
392	C₄⋊C₄×C₈₃	—	2	2	no	—
393	C₄⋊C₄×C₈₃	—	2	2	no	—
394	C₄⋊C₄×C₈₃	—	2	2	no	—
395	C₄⋊C₄×C₈₃	—	2	2	no	—
396	C₄⋊C₄×C₈₃	—	2	1	no	—
397	C₄⋊C₄×C₈₃	—	2	1	no	—
398	C₄⋊C₄×C₈₃	—	2	2	no	—
399	C₄⋊C₄×C₈₃	—	2	1	no	—
400	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
402	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
405	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
409	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
410	C₂²⋊C₄×C₈₃	—	2	2	no	—
411	C₂²⋊C₄×C₈₃	—	2	2	no	—
412	C₂²⋊C₄×C₈₃	—	2	2	no	—
413	C₂²⋊C₄×C₈₃	—	2	2	no	—
414	C₂²⋊C₄×C₈₃	—	2	2	no	—
415	C₂²⋊C₄×C₈₃	—	2	2	no	—
416	C₂²⋊C₄×C₈₃	—	2	2	no	—
417	C₂²⋊C₄×C₈₃	—	2	2	no	—
418	C₂²⋊C₄×C₈₃	—	2	1	no	—
419	C₂²⋊C₄×C₈₃	—	2	1	no	—
420	C₂²⋊C₄×C₈₃	—	2	1	no	—
421	C₂²⋊C₄×C₈₃	—	2	1	no	—
422	C₂²⋊C₄×C₈₃	—	2	1	no	—
423	C₂²⋊C₄×C₈₃	—	2	2	no	—
424	C₂²⋊C₄×C₈₃	—	2	2	no	—
425	C₂²⋊C₄×C₈₃	—	2	1	no	—
426	C₂²⋊C₄×C₈₃	—	2	1	no	—
427	C₂²⋊C₄×C₈₃	—	2	2	no	—
428	C₂²⋊C₄×C₈₃	—	2	1	no	—
429	C₂²⋊C₄×C₈₃	—	2	2	no	—
430	C₂²⋊C₄×C₈₃	—	2	2	no	—
431	C₂²⋊C₄×C₈₃	—	2	1	no	—
432	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
433	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
434	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
435	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
436	C₄²×C₈₃	—	2	2	no	—
437	C₄²×C₈₃	—	2	2	no	—
438	C₄²×C₈₃	—	2	2	no	—
439	C₄²×C₈₃	—	2	2	no	—
440	C₄²×C₈₃	—	2	1	no	—
441	C₄²×C₈₃	—	2	2	no	—
442	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
444	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
445	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
446	C₂³×C₈₃	—	2	1	no	—
447	C₂³×C₈₃	—	2	1	no	—
448	C₂³×C₈₃	—	2	1	no	—
449	C₂³×C₈₃	—	4	2	no	—
450	C₂³×C₈₃	—	8	1	no	—
451	C₂³×C₈₃	—	8	1	no	—
452	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
453	C₂³×C₈₃	C₂²×D₄	1	2	yes	—
454	C₂³×C₈₃	C₂²×D₄	1	2	yes	—
455	Q₈×C₈₃	—	2	1	no	—
456	Q₈×C₈₃	—	2	1	no	—
457	Q₈×C₈₃	—	2	2	no	—
458	Q₈×C₈₃	—	2	2	no	—
459	Q₈×C₈₃	—	4	2	no	—
460	Q₈×C₈₃	—	4	2	no	—
461	Q₈×C₈₃	—	8	1	no	—
462	Q₈×C₈₃	—	8	1	no	—
463	Q₈×C₈₃	—	8	2	no	—
464	D₄×C₈₃	—	2	2	no	—
465	D₄×C₈₃	—	2	2	no	—
466	D₄×C₈₃	—	2	1	no	—
467	D₄×C₈₃	—	2	1	no	—
468	D₄×C₈₃	—	2	1	no	—
469	D₄×C₈₃	—	2	1	no	—
470	D₄×C₈₃	—	2	1	no	—
471	D₄×C₈₃	—	2	1	no	—
472	D₄×C₈₃	—	4	2	no	—
473	D₄×C₈₃	—	4	2	no	—
474	D₄×C₈₃	—	4	2	no	—
475	D₄×C₈₃	—	4	2	no	—
476	D₄×C₈₃	—	4	2	no	—
477	D₄×C₈₃	—	8	1	no	—
478	D₄×C₈₃	—	8	2	no	—
479	D₄×C₈₃	—	8	2	no	—
480	D₄×C₈₃	—	8	2	no	—
481	D₄×C₈₃	—	8	2	no	—
482	D₄×C₈₃	—	8	2	no	—
483	D₄×C₈₃	—	8	2	no	—
484	C₂×C₄×C₈₃	—	2	2	no	—
485	C₂×C₄×C₈₃	—	2	2	no	—
486	C₂×C₄×C₈₃	—	2	2	no	—
487	C₂×C₄×C₈₃	—	2	2	no	—
488	C₂×C₄×C₈₃	—	2	2	no	—
489	C₂×C₄×C₈₃	—	2	1	no	—
490	C₂×C₄×C₈₃	—	2	1	no	—
491	C₂×C₄×C₈₃	—	2	2	no	—
492	C₂×C₄×C₈₃	—	2	1	no	—
493	C₂×C₄×C₈₃	—	2	2	no	—
494	C₂×C₄×C₈₃	—	2	1	no	—
495	C₂×C₄×C₈₃	—	2	1	no	—
496	C₂×C₄×C₈₃	—	2	1	no	—
497	C₂×C₄×C₈₃	—	2	1	no	—
498	C₂×C₄×C₈₃	—	2	2	no	—
499	C₂×C₄×C₈₃	—	2	2	no	—
500	C₂×C₄×C₈₃	—	4	1	no	—
501	C₂×C₄×C₈₃	—	4	2	no	—
502	C₂×C₄×C₈₃	—	4	2	no	—
503	C₂×C₄×C₈₃	—	4	2	no	—
504	C₂×C₄×C₈₃	—	8	1	no	—
505	C₂×C₄×C₈₃	—	8	1	no	—
506	C₂×C₄×C₈₃	—	8	2	no	—
507	C₂×C₄×C₈₃	—	8	2	no	—
508	C₂×C₄×C₈₃	—	8	1	no	—
509	C₂×C₄×C₈₃	—	8	2	no	—
510	C₂×C₄×C₈₃	—	8	2	no	—
511	C₂×C₄×C₈₃	—	8	2	no	—
512	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
515	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
520	C₈×C₈₃	—	2	1	no	—
521	C₈×C₈₃	—	2	2	no	—
522	C₈×C₈₃	—	2	1	no	—
523	C₈×C₈₃	—	2	1	no	—
524	C₈×C₈₃	—	2	1	no	—
525	C₈×C₈₃	—	2	2	no	—
526	C₂²×C₈₃	—	2	1	no	—
527	C₂²×C₈₃	—	2	2	no	—
528	C₂²×C₈₃	—	2	2	no	—
529	C₂²×C₈₃	—	2	2	no	—
530	C₂²×C₈₃	—	2	1	no	—
531	C₂²×C₈₃	—	2	2	no	—
532	C₂²×C₈₃	—	2	1	no	—
533	C₂²×C₈₃	—	2	2	no	—
534	C₂²×C₈₃	—	2	2	no	—
535	C₂²×C₈₃	—	4	1	no	—
536	C₂²×C₈₃	—	4	1	no	—
537	C₂²×C₈₃	—	4	1	no	—
538	C₂²×C₈₃	—	4	1	no	—
539	C₂²×C₈₃	—	4	1	no	—
540	C₂²×C₈₃	—	4	1	no	—
541	C₂²×C₈₃	—	4	1	no	—
542	C₂²×C₈₃	—	4	1	no	—
543	C₂²×C₈₃	—	4	1	no	—
544	C₂²×C₈₃	—	8	4	no	—
545	C₂²×C₈₃	C₂³×D₄	1	1	yes	characteristic
546	C₄×C₈₃	—	2	1	no	—
547	C₄×C₈₃	—	2	1	no	—
548	C₄×C₈₃	—	2	2	no	—
549	C₄×C₈₃	—	2	1	no	—
550	C₄×C₈₃	—	2	2	no	—
551	C₄×C₈₃	—	2	1	no	—
552	C₄×C₈₃	—	4	1	no	—
553	C₄×C₈₃	—	4	2	no	—
554	C₄×C₈₃	—	4	2	no	—
555	C₄×C₈₃	—	4	2	no	—
556	C₄×C₈₃	—	4	1	no	—
557	C₄×C₈₃	—	4	1	no	—
558	C₄×C₈₃	—	4	1	no	—
559	C₄×C₈₃	—	4	1	no	—
560	C₄×C₈₃	—	4	2	no	—
561	C₄×C₈₃	#577	1	2	yes	—
562	C₄×C₈₃	#585	1	1	yes	characteristic
563	C₄×C₈₃	#585	1	1	yes	characteristic
564	#61785	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
565	C₂×C₈₃	—	4	2	no	—
566	C₂×C₈₃	—	4	2	no	—
567	C₂×C₈₃	—	4	1	no	—
568	C₂×C₈₃	—	8	1	no	—
569	C₂×C₈₃	—	8	1	no	—
570	C₂×C₈₃	—	8	1	no	—
571	C₂×C₈₃	#3485	1	1	yes	characteristic
572	C₂×C₈₃	C₂×#577	1	1	yes	characteristic
573	C₂×C₈₃	#3584	1	1	yes	characteristic
574	#3547	C₂×C₈₃	1	1	yes	characteristic, complemented
575	#3506	C₂×C₈₃	1	1	yes	characteristic, complemented
576	#3357	C₂×C₈₃	1	1	yes	characteristic, complemented
577	#3354	C₂×C₈₃	1	1	yes	characteristic, complemented
578	#3351	C₂×C₈₃	1	2	yes	complemented
579	#3341	C₂×C₈₃	1	1	yes	characteristic, complemented
580	#3337	C₂×C₈₃	1	2	yes	complemented
581	#3335	C₂×C₈₃	1	1	yes	characteristic, complemented
582	#3330	C₂×C₈₃	1	1	yes	characteristic, complemented
583	#3329	C₂×C₈₃	1	1	yes	characteristic, complemented
584	#3326	C₂×C₈₃	1	2	yes	complemented
585	#3303	C₂×C₈₃	1	1	yes	characteristic, complemented
586	#3301	C₂×C₈₃	1	2	yes	complemented
587	#3298	C₂×C₈₃	1	1	yes	characteristic, complemented
588	#3233	C₂×C₈₃	1	1	yes	characteristic, complemented
589	#3231	C₂×C₈₃	1	1	yes	characteristic, complemented
590	#3200	C₂×C₈₃	1	2	yes	complemented
591	#3198	C₂×C₈₃	1	2	yes	complemented
592	#3105	C₂×C₈₃	1	1	yes	characteristic, complemented
593	#3101	C₂×C₈₃	1	1	yes	characteristic, complemented
594	#3099	C₂×C₈₃	1	2	yes	complemented
595	#3097	C₂×C₈₃	1	2	yes	complemented
596	#2979	C₂×C₈₃	1	1	yes	characteristic, complemented
597	C₈₃	#61785	1	1	yes	characteristic, direct product factor, Sylow
598	#562	—	2	2	no	—
599	#559	—	2	2	no	—
600	#556	—	2	1	no	—
601	#555	—	2	1	no	—
602	#555	C₂²×C₈₃	1	1	yes	characteristic
603	#555	C₂²×C₈₃	1	1	yes	characteristic
604	#555	C₂²×C₈₃	1	1	yes	characteristic, complemented
605	#554	C₂²×C₈₃	1	1	yes	characteristic, complemented
606	#553	—	2	1	no	—
607	#553	C₂²×C₈₃	1	2	yes	—
608	#553	C₂²×C₈₃	1	2	yes	—
609	#552	C₂²×C₈₃	1	2	yes	complemented
610	#550	—	2	1	no	—
611	D₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic, complemented
612	#548	C₂²×C₈₃	1	2	yes	complemented
613	#547	C₂²×C₈₃	1	1	yes	characteristic
614	#547	C₂²×C₈₃	1	1	yes	characteristic
615	#547	C₂²×C₈₃	1	1	yes	characteristic, complemented
616	#544	—	2	1	no	—
617	#542	—	2	2	no	—
618	#540	—	2	1	no	—
619	#538	—	2	2	no	—
620	#537	C₂²×C₈₃	1	2	yes	—
621	#536	C₂²×C₈₃	1	2	yes	—
622	#535	C₂²×C₈₃	1	2	yes	—
623	#533	C₂²×C₈₃	1	1	yes	characteristic
624	#533	C₂²×C₈₃	1	1	yes	characteristic
625	#532	C₂²×C₈₃	1	1	yes	characteristic
626	#529	C₂²×C₈₃	1	1	yes	characteristic
627	#525	—	2	1	no	—
628	#525	—	2	1	no	—
629	#520	C₂²×C₈₃	1	2	yes	—
630	C₂×C₄×D₄	C₂²×C₈₃	1	1	yes	characteristic
631	#500	C₂²×C₈₃	1	1	yes	characteristic, complemented
632	#499	C₂²×C₈₃	1	2	yes	complemented
633	#498	C₂²×C₈₃	1	1	yes	characteristic, complemented
634	#488	C₂²×C₈₃	1	2	yes	complemented
635	#487	C₂²×C₈₃	1	1	yes	characteristic, complemented
636	#487	C₂²×C₈₃	1	1	yes	characteristic, complemented
637	#485	C₂²×C₈₃	1	2	yes	—
638	#485	C₂²×C₈₃	1	2	yes	—
639	#485	C₂²×C₈₃	1	2	yes	—
640	#485	C₂²×C₈₃	1	2	yes	complemented
641	#485	C₂²×C₈₃	1	2	yes	complemented
642	#485	C₂²×C₈₃	1	2	yes	complemented
643	#484	C₂²×C₈₃	1	1	yes	characteristic
644	#484	C₂²×C₈₃	1	2	yes	complemented
645	#483	C₂²×C₈₃	1	2	yes	—
646	#483	C₂²×C₈₃	1	2	yes	complemented
647	#483	C₂²×C₈₃	1	2	yes	complemented
648	#482	C₂²×C₈₃	1	2	yes	—
649	#482	C₂²×C₈₃	1	2	yes	—
650	#482	C₂²×C₈₃	1	2	yes	—
651	#482	C₂²×C₈₃	1	2	yes	complemented
652	#481	C₂²×C₈₃	1	2	yes	—
653	#481	C₂²×C₈₃	1	1	yes	characteristic
654	#481	C₂²×C₈₃	1	2	yes	complemented
655	#480	C₂²×C₈₃	1	2	yes	—
656	#479	C₂²×C₈₃	1	2	yes	complemented
657	#479	C₂²×C₈₃	1	2	yes	complemented
658	#478	C₂²×C₈₃	1	1	yes	characteristic
659	#478	C₂²×C₈₃	1	1	yes	characteristic
660	#477	C₂²×C₈₃	1	1	yes	characteristic, complemented
661	#476	C₂²×C₈₃	1	1	yes	characteristic
662	#476	C₂²×C₈₃	1	1	yes	characteristic
663	#476	C₂²×C₈₃	1	1	yes	characteristic, complemented
664	#475	C₂²×C₈₃	1	1	yes	characteristic, complemented
665	#474	C₂²×C₈₃	1	1	yes	characteristic, complemented
666	#469	C₂²×C₈₃	1	2	yes	—
667	#468	C₂²×C₈₃	1	2	yes	—
668	#468	C₂²×C₈₃	1	2	yes	—
669	#468	C₂²×C₈₃	1	2	yes	—
670	#466	C₂²×C₈₃	1	2	yes	—
671	#465	C₂²×C₈₃	1	2	yes	—
672	#465	C₂²×C₈₃	1	2	yes	—
673	#465	C₂²×C₈₃	1	2	yes	—
674	#463	C₂²×C₈₃	1	1	yes	characteristic
675	#463	C₂²×C₈₃	1	1	yes	characteristic
676	#461	C₂²×C₈₃	1	1	yes	characteristic
677	#461	C₂²×C₈₃	1	1	yes	characteristic
678	#450	C₂²×C₈₃	1	2	yes	—
679	#450	C₂²×C₈₃	1	1	yes	characteristic
680	#449	C₂²×C₈₃	1	2	yes	—
681	#449	C₂²×C₈₃	1	2	yes	—
682	#448	C₂²×C₈₃	1	2	yes	—
683	#448	C₂²×C₈₃	1	2	yes	—
684	#447	C₂²×C₈₃	1	1	yes	characteristic
685	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
686	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
687	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
688	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
689	C₄×D₈	C₂²×C₈₃	1	1	yes	characteristic
690	C₄×D₈	C₂²×C₈₃	1	1	yes	characteristic
691	#436	C₂²×C₈₃	1	1	yes	characteristic, complemented
692	#436	C₂²×C₈₃	1	1	yes	characteristic, complemented
693	#436	C₂²×C₈₃	1	2	yes	complemented
694	C₈×D₄	C₂²×C₈₃	1	1	yes	characteristic, complemented
695	C₈×D₄	C₂²×C₈₃	1	2	yes	complemented
696	C₈×D₄	C₂²×C₈₃	1	1	yes	characteristic, complemented
697	#431	C₂²×C₈₃	1	1	yes	characteristic
698	#431	C₂²×C₈₃	1	1	yes	characteristic
699	#428	C₂²×C₈₃	1	2	yes	complemented
700	#428	C₂²×C₈₃	1	2	yes	complemented
701	#427	C₂²×C₈₃	1	2	yes	complemented
702	C₂×#106	C₂²×C₈₃	1	2	yes	complemented
703	#419	C₂²×C₈₃	1	2	yes	complemented
704	#417	C₂²×C₈₃	1	2	yes	complemented
705	#416	C₂²×C₈₃	1	2	yes	complemented
706	C₂×#103	C₂²×C₈₃	1	2	yes	complemented
707	#408	C₂²×C₈₃	1	2	yes	—
708	#408	C₂²×C₈₃	1	2	yes	—
709	C₂×#41	—	2	1	no	—
710	C₂×#41	—	2	1	no	—
711	C₂×#41	C₂³×C₈₃	1	2	yes	—
712	C₂×#41	C₂³×C₈₃	1	2	yes	—
713	C₂²×Q₈	C₂³×C₈₃	1	2	yes	—
714	C₂²×D₄	C₂³×C₈₃	1	1	yes	characteristic
715	C₂³×C₄	—	2	1	no	—
716	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
717	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
718	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
719	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
720	C₂×D₈	C₂³×C₈₃	1	1	yes	characteristic
721	C₂×D₈	C₂³×C₈₃	1	1	yes	characteristic
722	C₂×M₁₆	C₂³×C₈₃	1	2	yes	—
723	C₂×M₁₆	C₂³×C₈₃	1	2	yes	—
724	C₂²×C₈	C₂³×C₈₃	1	2	yes	—
725	C₂²×C₈	C₂³×C₈₃	1	2	yes	—
726	C₄⋊Q₈	—	2	2	no	—
727	C₄⋊Q₈	—	2	1	no	—
728	C₄⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
729	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
730	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
731	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
732	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
733	#127	—	2	2	no	—
734	#127	D₄×C₈₃	1	1	yes	characteristic
735	#126	—	2	2	no	—
736	#126	—	2	2	no	—
737	#126	—	2	2	no	—
738	#126	—	2	1	no	—
739	#125	—	2	2	no	—
740	#125	—	2	1	no	—
741	#125	—	2	1	no	—
742	#125	C₂³×C₈₃	1	1	yes	characteristic
743	#125	C₂³×C₈₃	1	2	yes	—
744	#124	—	2	2	no	—
745	#124	—	2	2	no	—
746	#124	—	2	2	no	—
747	#124	—	2	2	no	—
748	#124	—	2	2	no	—
749	#124	—	2	2	no	—
750	#124	D₄×C₈₃	1	2	yes	—
751	#124	C₂³×C₈₃	1	1	yes	characteristic
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	—	2	1	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	1	no	—
763	C₂²⋊Q₈	—	2	1	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	—	2	1	no	—
767	C₂²⋊Q₈	—	2	2	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
771	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
772	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
773	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
774	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
775	#121	—	2	1	no	—
776	#121	—	2	1	no	—
777	#121	—	2	2	no	—
778	#121	—	2	2	no	—
779	#121	—	2	2	no	—
780	#121	—	2	2	no	—
781	#121	—	2	2	no	—
782	#121	—	2	1	no	—
783	#121	—	2	2	no	—
784	#121	—	2	1	no	—
785	#121	D₄×C₈₃	1	1	yes	characteristic
786	#121	D₄×C₈₃	1	1	yes	characteristic
787	#121	D₄×C₈₃	1	2	yes	—
788	#121	C₂³×C₈₃	1	1	yes	characteristic
789	#121	C₂³×C₈₃	1	2	yes	—
790	#121	C₂³×C₈₃	1	2	yes	—
791	#121	C₂³×C₈₃	1	2	yes	—
792	#121	C₂³×C₈₃	1	2	yes	—
793	#121	C₂³×C₈₃	1	2	yes	—
794	#120	—	2	2	no	—
795	#120	—	2	2	no	—
796	C₄×Q₈	—	2	2	no	—
797	C₄×Q₈	—	2	1	no	—
798	C₄×Q₈	—	2	1	no	—
799	C₄×Q₈	—	2	1	no	—
800	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
801	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	2	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	2	no	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
814	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
815	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
816	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
817	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
818	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
819	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
820	C₄×D₄	C₂³×C₈₃	1	2	yes	—
821	#117	—	2	1	no	—
822	#117	—	2	1	no	—
823	#117	—	2	1	no	—
824	#117	—	2	1	no	—
825	#117	—	2	2	no	—
826	#117	—	2	1	no	—
827	#117	C₂³×C₈₃	1	2	yes	—
828	#117	C₂³×C₈₃	1	2	yes	—
829	#117	C₂³×C₈₃	1	2	yes	—
830	#117	C₂³×C₈₃	1	2	yes	—
831	C₂×C₄⋊C₄	—	2	1	no	—
832	C₂×C₄⋊C₄	C₂³×C₈₃	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
834	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
835	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
836	C₂×C₂²⋊C₄	—	2	1	no	—
837	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
838	#107	C₂³×C₈₃	1	1	yes	characteristic
839	#107	C₂³×C₈₃	1	2	yes	—
840	#107	C₂³×C₈₃	1	1	yes	characteristic
841	#107	C₂³×C₈₃	1	2	yes	—
842	#107	C₂³×C₈₃	1	2	yes	—
843	#107	C₂³×C₈₃	1	2	yes	—
844	#106	C₂³×C₈₃	1	1	yes	characteristic
845	#106	C₂³×C₈₃	1	2	yes	—
846	#106	C₂³×C₈₃	1	2	yes	—
847	#106	C₂³×C₈₃	1	2	yes	—
848	#106	C₂³×C₈₃	1	2	yes	—
849	#106	C₂³×C₈₃	1	2	yes	—
850	#106	C₂³×C₈₃	1	1	yes	characteristic
851	#106	C₂³×C₈₃	1	2	yes	—
852	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
853	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
854	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
855	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
856	#103	C₂³×C₈₃	1	1	yes	characteristic
857	#103	C₂³×C₈₃	1	2	yes	—
858	#103	C₂³×C₈₃	1	2	yes	—
859	#103	C₂³×C₈₃	1	2	yes	—
860	#103	C₂³×C₈₃	1	2	yes	—
861	#103	C₂³×C₈₃	1	2	yes	—
862	#103	C₂³×C₈₃	1	2	yes	—
863	#103	C₂³×C₈₃	1	1	yes	characteristic
864	#103	C₂³×C₈₃	1	2	yes	—
865	#103	C₂³×C₈₃	1	2	yes	—
866	#102	C₂³×C₈₃	1	1	yes	characteristic
867	#102	C₂³×C₈₃	1	2	yes	—
868	#102	C₂³×C₈₃	1	1	yes	characteristic
869	#102	C₂³×C₈₃	1	2	yes	—
870	#102	C₂³×C₈₃	1	1	yes	characteristic
871	#102	C₂³×C₈₃	1	1	yes	characteristic
872	#102	C₂³×C₈₃	1	1	yes	characteristic
873	#102	C₂³×C₈₃	1	1	yes	characteristic
874	#102	C₂³×C₈₃	1	2	yes	—
875	#102	C₂³×C₈₃	1	2	yes	—
876	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
877	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
878	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
879	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
880	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
881	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
882	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
883	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
884	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
885	C₄×C₈	C₂³×C₈₃	1	2	yes	—
886	C₂⁴	—	2	1	no	—
887	#41	—	4	2	no	—
888	#41	—	4	2	no	—
889	#41	—	4	2	no	—
890	#41	—	4	2	no	—
891	#41	—	8	2	no	—
892	#41	—	8	2	no	—
893	C₂×Q₈	—	2	1	no	—
894	C₂×Q₈	—	2	1	no	—
895	C₂×Q₈	—	2	1	no	—
896	C₂×Q₈	—	2	2	no	—
897	C₂×Q₈	—	4	2	no	—
898	C₂×Q₈	—	4	2	no	—
899	C₂×Q₈	C₂×D₄×C₈₃	1	2	yes	—
900	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
901	C₂×Q₈	C₂⁴×C₈₃	1	2	yes	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	2	no	—
909	C₂×D₄	—	2	1	no	—
910	C₂×D₄	—	4	1	no	—
911	C₂×D₄	—	4	1	no	—
912	C₂×D₄	C₂×D₄×C₈₃	1	1	yes	characteristic
913	C₂×D₄	C₂×D₄×C₈₃	1	1	yes	characteristic
914	C₂×D₄	C₂×D₄×C₈₃	1	2	yes	—
915	C₂×D₄	C₂×D₄×C₈₃	1	2	yes	—
916	C₂×D₄	C₂×D₄×C₈₃	1	2	yes	—
917	C₂×D₄	C₂×D₄×C₈₃	1	2	yes	—
918	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
919	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
920	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	1	no	—
931	C₂²×C₄	—	2	1	no	—
932	C₂²×C₄	—	8	2	no	—
933	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
934	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
936	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
937	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
938	SD₁₆	—	4	1	no	—
939	SD₁₆	—	4	2	no	—
940	SD₁₆	—	4	1	no	—
941	SD₁₆	—	4	2	no	—
942	D₈	—	4	1	no	—
943	D₈	—	4	1	no	—
944	M₁₆	—	4	2	no	—
945	M₁₆	—	4	2	no	—
946	C₂×C₈	—	4	2	no	—
947	C₂×C₈	—	4	2	no	—
948	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
949	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
950	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
951	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
952	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
953	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
975	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
976	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
977	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
978	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
979	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
980	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
982	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
983	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	1	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
1007	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
1008	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
1009	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	—	2	2	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
1017	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
1018	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1019	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1020	C₂³	—	2	1	no	—
1021	C₂³	—	2	1	no	—
1022	C₂³	—	2	1	no	—
1023	C₂³	—	4	2	no	—
1024	C₂³	—	8	1	no	—
1025	C₂³	—	8	1	no	—
1026	C₂³	C₂²×D₄×C₈₃	1	1	yes	characteristic
1027	C₂³	C₂²×D₄×C₈₃	1	2	yes	—
1028	C₂³	C₂²×D₄×C₈₃	1	2	yes	—
1029	Q₈	—	2	1	no	—
1030	Q₈	—	2	1	no	—
1031	Q₈	—	2	2	no	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	4	2	no	—
1034	Q₈	—	4	2	no	—
1035	Q₈	—	8	2	no	—
1036	Q₈	—	8	1	no	—
1037	Q₈	—	8	1	no	—
1038	D₄	—	2	2	no	—
1039	D₄	—	2	2	no	—
1040	D₄	—	2	1	no	—
1041	D₄	—	2	1	no	—
1042	D₄	—	2	1	no	—
1043	D₄	—	2	1	no	—
1044	D₄	—	2	1	no	—
1045	D₄	—	2	1	no	—
1046	D₄	—	4	2	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	2	no	—
1049	D₄	—	4	2	no	—
1050	D₄	—	4	2	no	—
1051	D₄	—	8	2	no	—
1052	D₄	—	8	2	no	—
1053	D₄	—	8	2	no	—
1054	D₄	—	8	1	no	—
1055	D₄	—	8	2	no	—
1056	D₄	—	8	2	no	—
1057	D₄	—	8	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	4	1	no	—
1075	C₂×C₄	—	4	2	no	—
1076	C₂×C₄	—	4	2	no	—
1077	C₂×C₄	—	4	2	no	—
1078	C₂×C₄	—	8	1	no	—
1079	C₂×C₄	—	8	1	no	—
1080	C₂×C₄	—	8	2	no	—
1081	C₂×C₄	—	8	1	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	—	8	2	no	—
1084	C₂×C₄	—	8	2	no	—
1085	C₂×C₄	—	8	2	no	—
1086	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1087	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1088	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1089	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1090	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1091	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1092	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1093	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1094	C₈	—	2	1	no	—
1095	C₈	—	2	2	no	—
1096	C₈	—	2	1	no	—
1097	C₈	—	2	1	no	—
1098	C₈	—	2	1	no	—
1099	C₈	—	2	2	no	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	2	2	no	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	2	2	no	—
1105	C₂²	—	2	2	no	—
1106	C₂²	—	2	2	no	—
1107	C₂²	—	2	1	no	—
1108	C₂²	—	2	2	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	1	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	1	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	1	no	—
1118	C₂²	—	8	4	no	—
1119	C₂²	C₂³×D₄×C₈₃	1	1	yes	characteristic
1120	C₄	—	2	1	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	1	no	—
1123	C₄	—	2	2	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	2	2	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	1	no	—
1128	C₄	—	4	1	no	—
1129	C₄	—	4	2	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	2	no	—
1132	C₄	—	4	2	no	—
1133	C₄	—	4	2	no	—
1134	C₄	—	4	1	no	—
1135	C₄	#577×C₈₃	1	2	yes	—
1136	C₄	#585×C₈₃	1	1	yes	characteristic
1137	C₄	#585×C₈₃	1	1	yes	characteristic
1138	C₂	—	4	1	no	—
1139	C₂	—	4	2	no	—
1140	C₂	—	4	2	no	—
1141	C₂	—	8	1	no	—
1142	C₂	—	8	1	no	—
1143	C₂	—	8	1	no	—
1144	C₂	C₈₃×#3485	1	1	yes	characteristic
1145	C₂	C₂×#577×C₈₃	1	1	yes	characteristic
1146	C₂	C₈₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₈₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₈₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₈₃ ◁ #532×C₈₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₃×#3547	C₂	semidirect
2. C₈₃×#3506	C₂	semidirect
3. C₈₃×#3357	C₂	semidirect
4. C₈₃×#3354	C₂	semidirect
5. C₈₃×#3351	C₂	semidirect
6. C₈₃×#3341	C₂	semidirect
7. C₈₃×#3337	C₂	semidirect
8. C₈₃×#3335	C₂	semidirect
9. C₈₃×#3330	C₂	semidirect
10. C₈₃×#3329	C₂	semidirect
11. C₈₃×#3326	C₂	semidirect
12. C₈₃×#3303	C₂	semidirect
13. C₈₃×#3301	C₂	semidirect
14. C₈₃×#3298	C₂	semidirect
15. C₈₃×#3233	C₂	semidirect
16. C₈₃×#3231	C₂	semidirect
17. C₈₃×#3200	C₂	semidirect
18. C₈₃×#3198	C₂	semidirect
19. C₈₃×#3105	C₂	semidirect
20. C₈₃×#3101	C₂	semidirect
21. C₈₃×#3099	C₂	semidirect
22. C₈₃×#3097	C₂	semidirect
23. C₈₃×#2979	C₂	semidirect
30. #555×C₈₃	C₂²	semidirect
31. #554×C₈₃	C₂²	semidirect
35. #552×C₈₃	C₂²	semidirect
37. D₄×Q₈×C₈₃	C₂²	semidirect
38. #548×C₈₃	C₂²	semidirect
41. #547×C₈₃	C₂²	semidirect
57. #500×C₈₃	C₂²	semidirect
58. #499×C₈₃	C₂²	semidirect
59. #498×C₈₃	C₂²	semidirect
60. #488×C₈₃	C₂²	semidirect
61. #487×C₈₃	C₂²	semidirect
62. #487×C₈₃	C₂²	semidirect
66. #485×C₈₃	C₂²	semidirect
67. #485×C₈₃	C₂²	semidirect
68. #485×C₈₃	C₂²	semidirect
70. #484×C₈₃	C₂²	semidirect
72. #483×C₈₃	C₂²	semidirect
73. #483×C₈₃	C₂²	semidirect
77. #482×C₈₃	C₂²	semidirect
80. #481×C₈₃	C₂²	semidirect
82. #479×C₈₃	C₂²	semidirect
83. #479×C₈₃	C₂²	semidirect
86. #477×C₈₃	C₂²	semidirect
89. #476×C₈₃	C₂²	semidirect
90. #475×C₈₃	C₂²	semidirect
91. #474×C₈₃	C₂²	semidirect
117. #436×C₈₃	C₂²	semidirect
118. #436×C₈₃	C₂²	semidirect
119. #436×C₈₃	C₂²	semidirect
120. C₈×D₄×C₈₃	C₂²	semidirect
121. C₈×D₄×C₈₃	C₂²	semidirect
122. C₈×D₄×C₈₃	C₂²	semidirect
125. #428×C₈₃	C₂²	semidirect
126. #428×C₈₃	C₂²	semidirect
127. #427×C₈₃	C₂²	semidirect
128. C₂×#106×C₈₃	C₂²	semidirect
129. #419×C₈₃	C₂²	semidirect
130. #417×C₈₃	C₂²	semidirect
131. #416×C₈₃	C₂²	semidirect
132. C₂×#103×C₈₃	C₂²	semidirect
564. #61785	C₈₃	direct (N × H)
574. #3547	C₂×C₈₃	semidirect
575. #3506	C₂×C₈₃	semidirect
576. #3357	C₂×C₈₃	semidirect
577. #3354	C₂×C₈₃	semidirect
578. #3351	C₂×C₈₃	semidirect
579. #3341	C₂×C₈₃	semidirect
580. #3337	C₂×C₈₃	semidirect
581. #3335	C₂×C₈₃	semidirect
582. #3330	C₂×C₈₃	semidirect
583. #3329	C₂×C₈₃	semidirect
584. #3326	C₂×C₈₃	semidirect
585. #3303	C₂×C₈₃	semidirect
586. #3301	C₂×C₈₃	semidirect
587. #3298	C₂×C₈₃	semidirect
588. #3233	C₂×C₈₃	semidirect
589. #3231	C₂×C₈₃	semidirect
590. #3200	C₂×C₈₃	semidirect
591. #3198	C₂×C₈₃	semidirect
592. #3105	C₂×C₈₃	semidirect
593. #3101	C₂×C₈₃	semidirect
594. #3099	C₂×C₈₃	semidirect
595. #3097	C₂×C₈₃	semidirect
596. #2979	C₂×C₈₃	semidirect
597. C₈₃	#61785	direct (N × H)
604. #555	C₂²×C₈₃	semidirect
605. #554	C₂²×C₈₃	semidirect
609. #552	C₂²×C₈₃	semidirect
611. D₄×Q₈	C₂²×C₈₃	semidirect
612. #548	C₂²×C₈₃	semidirect
615. #547	C₂²×C₈₃	semidirect
631. #500	C₂²×C₈₃	semidirect
632. #499	C₂²×C₈₃	semidirect
633. #498	C₂²×C₈₃	semidirect
634. #488	C₂²×C₈₃	semidirect
635. #487	C₂²×C₈₃	semidirect
636. #487	C₂²×C₈₃	semidirect
640. #485	C₂²×C₈₃	semidirect
641. #485	C₂²×C₈₃	semidirect
642. #485	C₂²×C₈₃	semidirect
644. #484	C₂²×C₈₃	semidirect
646. #483	C₂²×C₈₃	semidirect
647. #483	C₂²×C₈₃	semidirect
651. #482	C₂²×C₈₃	semidirect
654. #481	C₂²×C₈₃	semidirect
656. #479	C₂²×C₈₃	semidirect
657. #479	C₂²×C₈₃	semidirect
660. #477	C₂²×C₈₃	semidirect
663. #476	C₂²×C₈₃	semidirect
664. #475	C₂²×C₈₃	semidirect
665. #474	C₂²×C₈₃	semidirect
691. #436	C₂²×C₈₃	semidirect
692. #436	C₂²×C₈₃	semidirect
693. #436	C₂²×C₈₃	semidirect
694. C₈×D₄	C₂²×C₈₃	semidirect
695. C₈×D₄	C₂²×C₈₃	semidirect
696. C₈×D₄	C₂²×C₈₃	semidirect
699. #428	C₂²×C₈₃	semidirect
700. #428	C₂²×C₈₃	semidirect
701. #427	C₂²×C₈₃	semidirect
702. C₂×#106	C₂²×C₈₃	semidirect
703. #419	C₂²×C₈₃	semidirect
704. #417	C₂²×C₈₃	semidirect
705. #416	C₂²×C₈₃	semidirect
706. C₂×#103	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×#3547	2
C₈₃×#3506	2
C₈₃×#3357	2
C₈₃×#3354	2
C₈₃×#3351	2
C₈₃×#3341	2
C₈₃×#3337	2
C₈₃×#3335	2
C₈₃×#3330	2
C₈₃×#3329	2
C₈₃×#3326	2
C₈₃×#3303	2
C₈₃×#3301	2
C₈₃×#3298	2
C₈₃×#3233	2
C₈₃×#3231	2
C₈₃×#3200	2
C₈₃×#3198	2
C₈₃×#3105	2
C₈₃×#3101	2
C₈₃×#3099	2
C₈₃×#3097	2
C₈₃×#2979	2
#61785	83

Subgroups — C83×#61785 #35289609

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#61785 #35289609