Subgroups — C₈₃×#61928 #35289752

Order 21248.

1710 conjugacy classes of subgroups.

The subgroup lattice has 1118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₃×#3401	C₂	1	2	yes	maximal, complemented
4	C₈₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₃×#3396	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₃×#3394	C₂	1	2	yes	maximal, complemented
8	C₈₃×#3392	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₃×#3376	C₂	1	2	yes	maximal, complemented
10	C₈₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₃×#3365	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₃×#3360	C₂	1	2	yes	maximal, complemented
14	C₈₃×#3359	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₃×#3225	C₂	1	2	yes	maximal, complemented
16	C₈₃×#3221	C₂	1	2	yes	maximal, complemented
17	C₈₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₃×#3125	C₂	1	2	yes	maximal, complemented
20	C₈₃×#3119	C₂	1	2	yes	maximal, complemented
21	C₈₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₃×#2986	C₂	1	1	yes	maximal, characteristic, complemented
24	#562×C₈₃	—	2	2	no	—
25	#559×C₈₃	C₂²	1	2	yes	—
26	#559×C₈₃	C₂²	1	1	yes	characteristic
27	#559×C₈₃	C₂²	1	1	yes	characteristic
28	#559×C₈₃	C₂²	1	1	yes	characteristic
29	#557×C₈₃	C₂²	1	1	yes	characteristic
30	#557×C₈₃	C₂²	1	1	yes	characteristic
31	#557×C₈₃	C₂²	1	1	yes	characteristic
32	#556×C₈₃	—	2	1	no	—
33	#556×C₈₃	C₂²	1	2	yes	—
34	#556×C₈₃	C₂²	1	2	yes	—
35	#554×C₈₃	—	2	1	no	—
36	#554×C₈₃	C₂²	1	2	yes	—
37	#552×C₈₃	—	2	2	no	—
38	#550×C₈₃	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic
40	#548×C₈₃	—	2	1	no	—
41	#547×C₈₃	—	2	1	no	—
42	#542×C₈₃	—	2	1	no	—
43	#542×C₈₃	C₂²	1	2	yes	—
44	#540×C₈₃	C₂²	1	2	yes	—
45	#539×C₈₃	—	2	2	no	—
46	#539×C₈₃	—	2	2	no	—
47	#536×C₈₃	—	2	1	no	—
48	#536×C₈₃	C₂²	1	2	yes	—
49	#533×C₈₃	C₂²	1	1	yes	characteristic
50	#532×C₈₃	C₂²	1	1	yes	characteristic
51	#532×C₈₃	C₂²	1	1	yes	characteristic
52	#529×C₈₃	—	2	1	no	—
53	#529×C₈₃	—	2	1	no	—
54	#529×C₈₃	C₂²	1	1	yes	characteristic
55	#520×C₈₃	C₂²	1	2	yes	—
56	C₂×C₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic
57	#497×C₈₃	C₂²	1	2	yes	—
58	#496×C₈₃	C₂²	1	2	yes	—
59	#495×C₈₃	C₂²	1	2	yes	—
60	#495×C₈₃	C₂²	1	2	yes	—
61	#493×C₈₃	C₂²	1	1	yes	characteristic
62	#492×C₈₃	C₂²	1	2	yes	—
63	#492×C₈₃	C₂²	1	1	yes	characteristic
64	#491×C₈₃	C₂²	1	2	yes	—
65	#489×C₈₃	C₂²	1	2	yes	—
66	#488×C₈₃	C₂²	1	2	yes	—
67	#488×C₈₃	C₂²	1	2	yes	—
68	#487×C₈₃	C₂²	1	2	yes	—
69	#487×C₈₃	C₂²	1	1	yes	characteristic
70	#486×C₈₃	C₂²	1	1	yes	characteristic
71	#483×C₈₃	C₂²	1	1	yes	characteristic
72	#481×C₈₃	C₂²	1	2	yes	—
73	#480×C₈₃	C₂²	1	1	yes	characteristic
74	#479×C₈₃	C₂²	1	1	yes	characteristic
75	#479×C₈₃	C₂²	1	2	yes	—
76	#479×C₈₃	C₂²	1	1	yes	characteristic
77	#478×C₈₃	C₂²	1	2	yes	—
78	#476×C₈₃	C₂²	1	2	yes	—
79	#475×C₈₃	C₂²	1	1	yes	characteristic
80	#475×C₈₃	C₂²	1	1	yes	characteristic
81	#475×C₈₃	C₂²	1	2	yes	—
82	#464×C₈₃	C₂²	1	1	yes	characteristic
83	#464×C₈₃	C₂²	1	1	yes	characteristic
84	#464×C₈₃	C₂²	1	2	yes	—
85	#464×C₈₃	C₂²	1	2	yes	—
86	#463×C₈₃	C₂²	1	2	yes	—
87	#463×C₈₃	C₂²	1	2	yes	—
88	#463×C₈₃	C₂²	1	2	yes	—
89	#463×C₈₃	C₂²	1	2	yes	—
90	#463×C₈₃	C₂²	1	2	yes	—
91	#463×C₈₃	C₂²	1	2	yes	—
92	#462×C₈₃	C₂²	1	2	yes	—
93	#462×C₈₃	C₂²	1	1	yes	characteristic
94	#461×C₈₃	C₂²	1	1	yes	characteristic
95	#461×C₈₃	C₂²	1	2	yes	—
96	#461×C₈₃	C₂²	1	2	yes	—
97	#461×C₈₃	C₂²	1	2	yes	—
98	#460×C₈₃	C₂²	1	1	yes	characteristic
99	#460×C₈₃	C₂²	1	1	yes	characteristic
100	#460×C₈₃	C₂²	1	1	yes	characteristic
101	#460×C₈₃	C₂²	1	2	yes	—
102	#459×C₈₃	C₂²	1	1	yes	characteristic
103	#459×C₈₃	C₂²	1	2	yes	—
104	#452×C₈₃	C₂²	1	2	yes	—
105	#451×C₈₃	C₂²	1	1	yes	characteristic
106	#449×C₈₃	C₂²	1	2	yes	—
107	#449×C₈₃	C₂²	1	2	yes	—
108	#449×C₈₃	C₂²	1	2	yes	—
109	#448×C₈₃	C₂²	1	2	yes	—
110	#448×C₈₃	C₂²	1	1	yes	characteristic
111	#446×C₈₃	C₂²	1	1	yes	characteristic
112	#446×C₈₃	C₂²	1	1	yes	characteristic
113	#446×C₈₃	C₂²	1	2	yes	—
114	C₈×Q₈×C₈₃	C₂²	1	1	yes	characteristic
115	C₈×Q₈×C₈₃	C₂²	1	2	yes	—
116	C₈×Q₈×C₈₃	C₂²	1	1	yes	characteristic
117	#442×C₈₃	C₂²	1	2	yes	—
118	#442×C₈₃	C₂²	1	2	yes	—
119	#441×C₈₃	C₂²	1	2	yes	—
120	#440×C₈₃	C₂²	1	2	yes	—
121	C₄×Q₁₆×C₈₃	C₂²	1	1	yes	characteristic
122	C₄×Q₁₆×C₈₃	C₂²	1	1	yes	characteristic
123	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
124	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
125	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
126	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
127	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
128	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
129	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
130	C₄×D₈×C₈₃	C₂²	1	2	yes	—
131	#433×C₈₃	C₂²	1	2	yes	—
132	#433×C₈₃	C₂²	1	2	yes	—
133	#431×C₈₃	C₂²	1	1	yes	characteristic
134	#431×C₈₃	C₂²	1	1	yes	characteristic
135	C₂×#41×C₈₃	—	2	1	no	—
136	C₂×#41×C₈₃	—	2	1	no	—
137	C₂×#41×C₈₃	C₂³	1	2	yes	—
138	C₂²×Q₈×C₈₃	—	2	1	no	—
139	C₂²×Q₈×C₈₃	C₂³	1	1	yes	characteristic
140	C₂×Q₁₆×C₈₃	C₂³	1	1	yes	characteristic
141	C₂×Q₁₆×C₈₃	C₂³	1	1	yes	characteristic
142	C₂×Q₁₆×C₈₃	C₂³	1	2	yes	—
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×SD₁₆×C₈₃	C₂³	1	2	yes	—
147	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
148	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
149	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic
150	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
151	C₂×D₈×C₈₃	C₂³	1	2	yes	—
152	C₂×D₈×C₈₃	C₂³	1	2	yes	—
153	C₂×D₈×C₈₃	C₂³	1	2	yes	—
154	C₄⋊Q₈×C₈₃	—	2	1	no	—
155	C₄⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
156	C₄⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
157	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
158	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
159	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
160	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
161	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
162	#127×C₈₃	C₂³	1	1	yes	characteristic
163	#127×C₈₃	C₂³	1	1	yes	characteristic
164	#127×C₈₃	C₂³	1	2	yes	—
165	#126×C₈₃	—	2	2	no	—
166	#126×C₈₃	—	2	2	no	—
167	#126×C₈₃	—	2	2	no	—
168	#126×C₈₃	—	2	2	no	—
169	#126×C₈₃	—	2	2	no	—
170	#126×C₈₃	—	2	1	no	—
171	#125×C₈₃	—	2	1	no	—
172	#125×C₈₃	—	2	1	no	—
173	#125×C₈₃	—	2	2	no	—
174	#125×C₈₃	—	2	2	no	—
175	#125×C₈₃	—	2	2	no	—
176	#125×C₈₃	D₄	1	2	yes	—
177	#125×C₈₃	C₂³	1	2	yes	—
178	#125×C₈₃	C₂³	1	1	yes	characteristic
179	#124×C₈₃	—	2	1	no	—
180	#124×C₈₃	—	2	1	no	—
181	#124×C₈₃	—	2	1	no	—
182	#124×C₈₃	—	2	2	no	—
183	#124×C₈₃	—	2	2	no	—
184	#124×C₈₃	—	2	1	no	—
185	#124×C₈₃	C₂³	1	2	yes	—
186	#124×C₈₃	C₂³	1	2	yes	—
187	#124×C₈₃	C₂³	1	2	yes	—
188	#124×C₈₃	C₂³	1	2	yes	—
189	#124×C₈₃	C₂³	1	1	yes	characteristic
190	#123×C₈₃	—	2	1	no	—
191	#123×C₈₃	—	2	2	no	—
192	#123×C₈₃	—	2	2	no	—
193	#123×C₈₃	—	2	2	no	—
194	#123×C₈₃	—	2	2	no	—
195	#123×C₈₃	—	2	2	no	—
196	#123×C₈₃	—	2	2	no	—
197	#123×C₈₃	—	2	2	no	—
198	#123×C₈₃	—	2	2	no	—
199	#123×C₈₃	—	2	2	no	—
200	#123×C₈₃	—	2	2	no	—
201	C₂²⋊Q₈×C₈₃	—	2	2	no	—
202	C₂²⋊Q₈×C₈₃	—	2	2	no	—
203	C₂²⋊Q₈×C₈₃	—	2	2	no	—
204	C₂²⋊Q₈×C₈₃	—	2	2	no	—
205	C₂²⋊Q₈×C₈₃	—	2	2	no	—
206	C₂²⋊Q₈×C₈₃	—	2	2	no	—
207	C₂²⋊Q₈×C₈₃	—	2	2	no	—
208	C₂²⋊Q₈×C₈₃	—	2	2	no	—
209	C₂²⋊Q₈×C₈₃	—	2	2	no	—
210	C₂²⋊Q₈×C₈₃	—	2	1	no	—
211	C₂²⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
212	C₂²⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
213	C₂²⋊Q₈×C₈₃	D₄	1	2	yes	—
214	C₂²⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
215	#121×C₈₃	—	2	1	no	—
216	#121×C₈₃	—	2	1	no	—
217	#121×C₈₃	—	2	1	no	—
218	#121×C₈₃	—	2	2	no	—
219	#121×C₈₃	—	2	1	no	—
220	#121×C₈₃	—	2	2	no	—
221	#121×C₈₃	—	2	2	no	—
222	#121×C₈₃	C₂³	1	1	yes	characteristic
223	#121×C₈₃	C₂³	1	2	yes	—
224	C₄×Q₈×C₈₃	—	2	1	no	—
225	C₄×Q₈×C₈₃	—	2	1	no	—
226	C₄×Q₈×C₈₃	—	2	1	no	—
227	C₄×Q₈×C₈₃	—	2	1	no	—
228	C₄×Q₈×C₈₃	—	2	1	no	—
229	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
230	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
233	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
235	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
240	C₄×D₄×C₈₃	—	2	1	no	—
241	C₄×D₄×C₈₃	—	2	1	no	—
242	C₄×D₄×C₈₃	—	2	1	no	—
243	C₄×D₄×C₈₃	—	2	2	no	—
244	C₄×D₄×C₈₃	—	2	1	no	—
245	C₄×D₄×C₈₃	—	2	2	no	—
246	C₄×D₄×C₈₃	—	2	2	no	—
247	C₄×D₄×C₈₃	—	2	1	no	—
248	C₄×D₄×C₈₃	—	2	1	no	—
249	C₄×D₄×C₈₃	—	2	1	no	—
250	C₄×D₄×C₈₃	C₂³	1	2	yes	—
251	C₄×D₄×C₈₃	C₂³	1	2	yes	—
252	C₄×D₄×C₈₃	C₂³	1	2	yes	—
253	C₄×D₄×C₈₃	C₂³	1	2	yes	—
254	C₄×D₄×C₈₃	C₂³	1	2	yes	—
255	C₄×D₄×C₈₃	C₂³	1	2	yes	—
256	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
257	#117×C₈₃	—	2	2	no	—
258	#117×C₈₃	—	2	2	no	—
259	#117×C₈₃	—	2	2	no	—
260	#117×C₈₃	—	2	1	no	—
261	#117×C₈₃	C₂³	1	2	yes	—
262	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
263	C₂×C₄⋊C₄×C₈₃	—	2	2	no	—
264	C₂×C₄⋊C₄×C₈₃	—	2	2	no	—
265	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
266	C₂×C₄²×C₈₃	—	2	1	no	—
267	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
272	#106×C₈₃	C₂³	1	2	yes	—
273	#106×C₈₃	C₂³	1	1	yes	characteristic
274	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
275	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
276	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
277	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
278	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
279	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
289	#103×C₈₃	C₂³	1	2	yes	—
290	#103×C₈₃	C₂³	1	2	yes	—
291	#103×C₈₃	C₂³	1	1	yes	characteristic
292	#103×C₈₃	C₂³	1	2	yes	—
293	#103×C₈₃	C₂³	1	1	yes	characteristic
294	#102×C₈₃	C₂³	1	2	yes	—
295	#102×C₈₃	C₂³	1	2	yes	—
296	#102×C₈₃	C₂³	1	2	yes	—
297	#102×C₈₃	C₂³	1	2	yes	—
298	#102×C₈₃	C₂³	1	2	yes	—
299	#102×C₈₃	C₂³	1	1	yes	characteristic
300	#102×C₈₃	C₂³	1	1	yes	characteristic
301	#102×C₈₃	C₂³	1	2	yes	—
302	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
303	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
305	#97×C₈₃	C₂³	1	2	yes	—
306	#97×C₈₃	C₂³	1	2	yes	—
307	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
308	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₈₃	C₂³	1	2	yes	—
310	C₄×C₈×C₈₃	C₂³	1	2	yes	—
311	C₄×C₈×C₈₃	C₂³	1	2	yes	—
312	#41×C₈₃	—	4	2	no	—
313	#41×C₈₃	—	4	2	no	—
314	#41×C₈₃	—	8	2	no	—
315	#41×C₈₃	—	8	2	no	—
316	C₂×Q₈×C₈₃	—	2	1	no	—
317	C₂×Q₈×C₈₃	—	2	1	no	—
318	C₂×Q₈×C₈₃	—	2	2	no	—
319	C₂×Q₈×C₈₃	—	4	1	no	—
320	C₂×Q₈×C₈₃	—	4	1	no	—
321	C₂×Q₈×C₈₃	—	8	2	no	—
322	C₂×Q₈×C₈₃	C₂×D₄	1	1	yes	characteristic
323	C₂×Q₈×C₈₃	C₂×D₄	1	1	yes	characteristic
324	C₂×Q₈×C₈₃	C₂×D₄	1	2	yes	—
325	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
326	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
327	C₂×Q₈×C₈₃	C₂⁴	1	2	yes	—
328	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
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	1	no	—
333	C₂×D₄×C₈₃	—	2	1	no	—
334	C₂×D₄×C₈₃	—	2	1	no	—
335	C₂×D₄×C₈₃	—	2	2	no	—
336	C₂×D₄×C₈₃	—	2	1	no	—
337	C₂×D₄×C₈₃	—	2	2	no	—
338	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
339	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
340	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
341	C₂²×C₄×C₈₃	—	2	1	no	—
342	C₂²×C₄×C₈₃	—	2	1	no	—
343	C₂²×C₄×C₈₃	—	2	2	no	—
344	C₂²×C₄×C₈₃	—	2	1	no	—
345	C₂²×C₄×C₈₃	—	2	2	no	—
346	C₂²×C₄×C₈₃	—	2	2	no	—
347	C₂²×C₄×C₈₃	—	2	2	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	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
354	Q₁₆×C₈₃	—	4	1	no	—
355	Q₁₆×C₈₃	—	4	2	no	—
356	Q₁₆×C₈₃	—	4	1	no	—
357	SD₁₆×C₈₃	—	4	1	no	—
358	SD₁₆×C₈₃	—	4	2	no	—
359	SD₁₆×C₈₃	—	4	1	no	—
360	SD₁₆×C₈₃	—	4	2	no	—
361	SD₁₆×C₈₃	—	4	2	no	—
362	SD₁₆×C₈₃	—	4	2	no	—
363	SD₁₆×C₈₃	—	4	2	no	—
364	SD₁₆×C₈₃	—	4	2	no	—
365	D₈×C₈₃	—	4	2	no	—
366	D₈×C₈₃	—	4	2	no	—
367	D₈×C₈₃	—	4	2	no	—
368	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
370	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
373	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
374	C₄⋊C₄×C₈₃	—	2	1	no	—
375	C₄⋊C₄×C₈₃	—	2	1	no	—
376	C₄⋊C₄×C₈₃	—	2	2	no	—
377	C₄⋊C₄×C₈₃	—	2	2	no	—
378	C₄⋊C₄×C₈₃	—	2	1	no	—
379	C₄⋊C₄×C₈₃	—	2	1	no	—
380	C₄⋊C₄×C₈₃	—	2	1	no	—
381	C₄⋊C₄×C₈₃	—	2	1	no	—
382	C₄⋊C₄×C₈₃	—	2	2	no	—
383	C₄⋊C₄×C₈₃	—	2	2	no	—
384	C₄⋊C₄×C₈₃	—	2	1	no	—
385	C₄⋊C₄×C₈₃	—	2	1	no	—
386	C₄⋊C₄×C₈₃	—	2	2	no	—
387	C₄⋊C₄×C₈₃	—	2	2	no	—
388	C₄⋊C₄×C₈₃	—	2	1	no	—
389	C₄⋊C₄×C₈₃	—	2	1	no	—
390	C₄⋊C₄×C₈₃	—	2	1	no	—
391	C₄⋊C₄×C₈₃	—	2	2	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	1	no	—
396	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
397	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
398	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
399	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
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	C₂×D₄	1	2	yes	—
404	C₄⋊C₄×C₈₃	C₂×D₄	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	1	yes	characteristic
410	C₂²⋊C₄×C₈₃	—	2	1	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	1	no	—
415	C₂²⋊C₄×C₈₃	—	2	2	no	—
416	C₂²⋊C₄×C₈₃	—	2	2	no	—
417	C₂²⋊C₄×C₈₃	—	2	1	no	—
418	C₂²⋊C₄×C₈₃	—	2	1	no	—
419	C₂²⋊C₄×C₈₃	—	2	2	no	—
420	C₂²⋊C₄×C₈₃	—	2	2	no	—
421	C₂²⋊C₄×C₈₃	—	2	2	no	—
422	C₂²⋊C₄×C₈₃	—	2	2	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	2	no	—
427	C₂²⋊C₄×C₈₃	—	2	2	no	—
428	C₂²⋊C₄×C₈₃	—	2	2	no	—
429	C₂²⋊C₄×C₈₃	—	2	2	no	—
430	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
431	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
432	C₄²×C₈₃	—	2	1	no	—
433	C₄²×C₈₃	—	2	1	no	—
434	C₄²×C₈₃	—	2	1	no	—
435	C₄²×C₈₃	—	2	1	no	—
436	C₄²×C₈₃	—	2	2	no	—
437	C₄²×C₈₃	—	2	2	no	—
438	C₄²×C₈₃	—	2	1	no	—
439	C₄²×C₈₃	—	2	2	no	—
440	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
441	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
443	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
444	C₄²×C₈₃	C₂⁴	1	2	yes	—
445	C₄²×C₈₃	C₂⁴	1	2	yes	—
446	C₂³×C₈₃	—	2	2	no	—
447	C₂³×C₈₃	—	2	2	no	—
448	C₂³×C₈₃	—	2	1	no	—
449	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
450	Q₈×C₈₃	—	2	2	no	—
451	Q₈×C₈₃	—	2	2	no	—
452	Q₈×C₈₃	—	2	1	no	—
453	Q₈×C₈₃	—	2	1	no	—
454	Q₈×C₈₃	—	2	1	no	—
455	Q₈×C₈₃	—	2	2	no	—
456	Q₈×C₈₃	—	2	1	no	—
457	Q₈×C₈₃	—	2	1	no	—
458	Q₈×C₈₃	—	2	2	no	—
459	Q₈×C₈₃	—	2	1	no	—
460	Q₈×C₈₃	—	4	2	no	—
461	Q₈×C₈₃	—	4	2	no	—
462	Q₈×C₈₃	—	4	2	no	—
463	Q₈×C₈₃	—	8	2	no	—
464	D₄×C₈₃	—	2	1	no	—
465	D₄×C₈₃	—	2	2	no	—
466	D₄×C₈₃	—	2	2	no	—
467	D₄×C₈₃	—	2	2	no	—
468	D₄×C₈₃	—	2	2	no	—
469	D₄×C₈₃	—	2	1	no	—
470	D₄×C₈₃	—	4	4	no	—
471	D₄×C₈₃	—	4	2	no	—
472	D₄×C₈₃	—	4	2	no	—
473	D₄×C₈₃	—	8	1	no	—
474	D₄×C₈₃	—	8	1	no	—
475	D₄×C₈₃	—	8	2	no	—
476	D₄×C₈₃	—	8	2	no	—
477	D₄×C₈₃	—	8	1	no	—
478	D₄×C₈₃	—	8	2	no	—
479	C₂×C₄×C₈₃	—	2	2	no	—
480	C₂×C₄×C₈₃	—	2	1	no	—
481	C₂×C₄×C₈₃	—	2	1	no	—
482	C₂×C₄×C₈₃	—	2	1	no	—
483	C₂×C₄×C₈₃	—	2	1	no	—
484	C₂×C₄×C₈₃	—	2	1	no	—
485	C₂×C₄×C₈₃	—	2	1	no	—
486	C₂×C₄×C₈₃	—	2	1	no	—
487	C₂×C₄×C₈₃	—	2	2	no	—
488	C₂×C₄×C₈₃	—	2	1	no	—
489	C₂×C₄×C₈₃	—	2	2	no	—
490	C₂×C₄×C₈₃	—	2	1	no	—
491	C₂×C₄×C₈₃	—	4	1	no	—
492	C₂×C₄×C₈₃	—	4	4	no	—
493	C₂×C₄×C₈₃	—	4	2	no	—
494	C₂×C₄×C₈₃	—	4	2	no	—
495	C₂×C₄×C₈₃	—	8	2	no	—
496	C₂×C₄×C₈₃	—	8	2	no	—
497	C₂×C₄×C₈₃	—	8	2	no	—
498	C₂×C₄×C₈₃	—	8	2	no	—
499	C₂×C₄×C₈₃	—	8	2	no	—
500	C₂×C₄×C₈₃	—	8	2	no	—
501	C₂×C₄×C₈₃	—	8	1	no	—
502	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
506	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
510	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
512	C₈×C₈₃	—	2	1	no	—
513	C₈×C₈₃	—	2	1	no	—
514	C₈×C₈₃	—	2	2	no	—
515	C₈×C₈₃	—	2	2	no	—
516	C₈×C₈₃	—	2	1	no	—
517	C₈×C₈₃	—	2	1	no	—
518	C₂²×C₈₃	—	2	1	no	—
519	C₂²×C₈₃	—	2	1	no	—
520	C₂²×C₈₃	—	2	1	no	—
521	C₂²×C₈₃	—	4	2	no	—
522	C₂²×C₈₃	—	4	2	no	—
523	C₂²×C₈₃	—	4	1	no	—
524	C₂²×C₈₃	—	4	2	no	—
525	C₂²×C₈₃	—	4	1	no	—
526	C₂²×C₈₃	—	4	2	no	—
527	C₂²×C₈₃	—	4	1	no	—
528	C₂²×C₈₃	—	4	2	no	—
529	C₂²×C₈₃	—	4	2	no	—
530	C₂²×C₈₃	C₂³×D₄	1	1	yes	characteristic
531	C₄×C₈₃	—	2	1	no	—
532	C₄×C₈₃	—	2	1	no	—
533	C₄×C₈₃	—	2	2	no	—
534	C₄×C₈₃	—	2	2	no	—
535	C₄×C₈₃	—	2	1	no	—
536	C₄×C₈₃	—	2	1	no	—
537	C₄×C₈₃	—	2	2	no	—
538	C₄×C₈₃	—	2	2	no	—
539	C₄×C₈₃	—	4	1	no	—
540	C₄×C₈₃	—	4	1	no	—
541	C₄×C₈₃	—	4	1	no	—
542	C₄×C₈₃	—	4	2	no	—
543	C₄×C₈₃	—	4	1	no	—
544	C₄×C₈₃	—	4	1	no	—
545	C₄×C₈₃	—	4	1	no	—
546	C₄×C₈₃	—	4	1	no	—
547	C₄×C₈₃	—	4	2	no	—
548	C₄×C₈₃	#577	1	2	yes	—
549	C₄×C₈₃	#585	1	1	yes	characteristic
550	C₄×C₈₃	#585	1	1	yes	characteristic
551	#61928	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
552	C₂×C₈₃	—	4	1	no	—
553	C₂×C₈₃	—	8	2	no	—
554	C₂×C₈₃	—	8	2	no	—
555	C₂×C₈₃	—	8	1	no	—
556	C₂×C₈₃	#3487	1	1	yes	characteristic
557	C₂×C₈₃	C₂×#577	1	1	yes	characteristic
558	C₂×C₈₃	#3584	1	1	yes	characteristic
559	#3554	C₂×C₈₃	1	1	yes	characteristic, complemented
560	#3507	C₂×C₈₃	1	1	yes	characteristic, complemented
561	#3401	C₂×C₈₃	1	2	yes	complemented
562	#3400	C₂×C₈₃	1	1	yes	characteristic, complemented
563	#3399	C₂×C₈₃	1	1	yes	characteristic, complemented
564	#3396	C₂×C₈₃	1	1	yes	characteristic, complemented
565	#3394	C₂×C₈₃	1	2	yes	complemented
566	#3392	C₂×C₈₃	1	1	yes	characteristic, complemented
567	#3376	C₂×C₈₃	1	2	yes	complemented
568	#3374	C₂×C₈₃	1	1	yes	characteristic, complemented
569	#3373	C₂×C₈₃	1	1	yes	characteristic, complemented
570	#3365	C₂×C₈₃	1	1	yes	characteristic, complemented
571	#3360	C₂×C₈₃	1	2	yes	complemented
572	#3359	C₂×C₈₃	1	1	yes	characteristic, complemented
573	#3225	C₂×C₈₃	1	2	yes	complemented
574	#3221	C₂×C₈₃	1	2	yes	complemented
575	#3212	C₂×C₈₃	1	1	yes	characteristic, complemented
576	#3207	C₂×C₈₃	1	1	yes	characteristic, complemented
577	#3125	C₂×C₈₃	1	2	yes	complemented
578	#3119	C₂×C₈₃	1	2	yes	complemented
579	#3108	C₂×C₈₃	1	1	yes	characteristic, complemented
580	#3103	C₂×C₈₃	1	1	yes	characteristic, complemented
581	#2986	C₂×C₈₃	1	1	yes	characteristic, complemented
582	C₈₃	#61928	1	1	yes	characteristic, direct product factor, Sylow
583	#562	—	2	2	no	—
584	#559	C₂²×C₈₃	1	1	yes	characteristic
585	#559	C₂²×C₈₃	1	1	yes	characteristic
586	#559	C₂²×C₈₃	1	2	yes	—
587	#559	C₂²×C₈₃	1	1	yes	characteristic
588	#557	C₂²×C₈₃	1	1	yes	characteristic
589	#557	C₂²×C₈₃	1	1	yes	characteristic
590	#557	C₂²×C₈₃	1	1	yes	characteristic
591	#556	—	2	1	no	—
592	#556	C₂²×C₈₃	1	2	yes	—
593	#556	C₂²×C₈₃	1	2	yes	—
594	#554	—	2	1	no	—
595	#554	C₂²×C₈₃	1	2	yes	—
596	#552	—	2	2	no	—
597	#550	C₂²×C₈₃	1	1	yes	characteristic
598	D₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic
599	#548	—	2	1	no	—
600	#547	—	2	1	no	—
601	#542	—	2	1	no	—
602	#542	C₂²×C₈₃	1	2	yes	—
603	#540	C₂²×C₈₃	1	2	yes	—
604	#539	—	2	2	no	—
605	#539	—	2	2	no	—
606	#536	—	2	1	no	—
607	#536	C₂²×C₈₃	1	2	yes	—
608	#533	C₂²×C₈₃	1	1	yes	characteristic
609	#532	C₂²×C₈₃	1	1	yes	characteristic
610	#532	C₂²×C₈₃	1	1	yes	characteristic
611	#529	—	2	1	no	—
612	#529	—	2	1	no	—
613	#529	C₂²×C₈₃	1	1	yes	characteristic
614	#520	C₂²×C₈₃	1	2	yes	—
615	C₂×C₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic
616	#497	C₂²×C₈₃	1	2	yes	—
617	#496	C₂²×C₈₃	1	2	yes	—
618	#495	C₂²×C₈₃	1	2	yes	—
619	#495	C₂²×C₈₃	1	2	yes	—
620	#493	C₂²×C₈₃	1	1	yes	characteristic
621	#492	C₂²×C₈₃	1	2	yes	—
622	#492	C₂²×C₈₃	1	1	yes	characteristic
623	#491	C₂²×C₈₃	1	2	yes	—
624	#489	C₂²×C₈₃	1	2	yes	—
625	#488	C₂²×C₈₃	1	2	yes	—
626	#488	C₂²×C₈₃	1	2	yes	—
627	#487	C₂²×C₈₃	1	2	yes	—
628	#487	C₂²×C₈₃	1	1	yes	characteristic
629	#486	C₂²×C₈₃	1	1	yes	characteristic
630	#483	C₂²×C₈₃	1	1	yes	characteristic
631	#481	C₂²×C₈₃	1	2	yes	—
632	#480	C₂²×C₈₃	1	1	yes	characteristic
633	#479	C₂²×C₈₃	1	1	yes	characteristic
634	#479	C₂²×C₈₃	1	2	yes	—
635	#479	C₂²×C₈₃	1	1	yes	characteristic
636	#478	C₂²×C₈₃	1	2	yes	—
637	#476	C₂²×C₈₃	1	2	yes	—
638	#475	C₂²×C₈₃	1	1	yes	characteristic
639	#475	C₂²×C₈₃	1	1	yes	characteristic
640	#475	C₂²×C₈₃	1	2	yes	—
641	#464	C₂²×C₈₃	1	1	yes	characteristic
642	#464	C₂²×C₈₃	1	1	yes	characteristic
643	#464	C₂²×C₈₃	1	2	yes	—
644	#464	C₂²×C₈₃	1	2	yes	—
645	#463	C₂²×C₈₃	1	2	yes	—
646	#463	C₂²×C₈₃	1	2	yes	—
647	#463	C₂²×C₈₃	1	2	yes	—
648	#463	C₂²×C₈₃	1	2	yes	—
649	#463	C₂²×C₈₃	1	2	yes	—
650	#463	C₂²×C₈₃	1	2	yes	—
651	#462	C₂²×C₈₃	1	2	yes	—
652	#462	C₂²×C₈₃	1	1	yes	characteristic
653	#461	C₂²×C₈₃	1	1	yes	characteristic
654	#461	C₂²×C₈₃	1	2	yes	—
655	#461	C₂²×C₈₃	1	2	yes	—
656	#461	C₂²×C₈₃	1	2	yes	—
657	#460	C₂²×C₈₃	1	1	yes	characteristic
658	#460	C₂²×C₈₃	1	1	yes	characteristic
659	#460	C₂²×C₈₃	1	1	yes	characteristic
660	#460	C₂²×C₈₃	1	2	yes	—
661	#459	C₂²×C₈₃	1	1	yes	characteristic
662	#459	C₂²×C₈₃	1	2	yes	—
663	#452	C₂²×C₈₃	1	2	yes	—
664	#451	C₂²×C₈₃	1	1	yes	characteristic
665	#449	C₂²×C₈₃	1	2	yes	—
666	#449	C₂²×C₈₃	1	2	yes	—
667	#449	C₂²×C₈₃	1	2	yes	—
668	#448	C₂²×C₈₃	1	2	yes	—
669	#448	C₂²×C₈₃	1	1	yes	characteristic
670	#446	C₂²×C₈₃	1	1	yes	characteristic
671	#446	C₂²×C₈₃	1	1	yes	characteristic
672	#446	C₂²×C₈₃	1	2	yes	—
673	C₈×Q₈	C₂²×C₈₃	1	1	yes	characteristic
674	C₈×Q₈	C₂²×C₈₃	1	2	yes	—
675	C₈×Q₈	C₂²×C₈₃	1	1	yes	characteristic
676	#442	C₂²×C₈₃	1	2	yes	—
677	#442	C₂²×C₈₃	1	2	yes	—
678	#441	C₂²×C₈₃	1	2	yes	—
679	#440	C₂²×C₈₃	1	2	yes	—
680	C₄×Q₁₆	C₂²×C₈₃	1	1	yes	characteristic
681	C₄×Q₁₆	C₂²×C₈₃	1	1	yes	characteristic
682	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
683	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
684	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
685	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
686	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
687	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
688	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
689	C₄×D₈	C₂²×C₈₃	1	2	yes	—
690	#433	C₂²×C₈₃	1	2	yes	—
691	#433	C₂²×C₈₃	1	2	yes	—
692	#431	C₂²×C₈₃	1	1	yes	characteristic
693	#431	C₂²×C₈₃	1	1	yes	characteristic
694	C₂×#41	—	2	1	no	—
695	C₂×#41	—	2	1	no	—
696	C₂×#41	C₂³×C₈₃	1	2	yes	—
697	C₂²×Q₈	—	2	1	no	—
698	C₂²×Q₈	C₂³×C₈₃	1	1	yes	characteristic
699	C₂×Q₁₆	C₂³×C₈₃	1	1	yes	characteristic
700	C₂×Q₁₆	C₂³×C₈₃	1	1	yes	characteristic
701	C₂×Q₁₆	C₂³×C₈₃	1	2	yes	—
702	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
703	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
705	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
706	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
708	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
709	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
710	C₂×D₈	C₂³×C₈₃	1	2	yes	—
711	C₂×D₈	C₂³×C₈₃	1	2	yes	—
712	C₂×D₈	C₂³×C₈₃	1	2	yes	—
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
715	C₄⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
717	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
718	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
719	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
721	#127	C₂³×C₈₃	1	1	yes	characteristic
722	#127	C₂³×C₈₃	1	1	yes	characteristic
723	#127	C₂³×C₈₃	1	2	yes	—
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	—	2	1	no	—
730	#125	—	2	1	no	—
731	#125	—	2	1	no	—
732	#125	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	—	2	2	no	—
735	#125	D₄×C₈₃	1	2	yes	—
736	#125	C₂³×C₈₃	1	1	yes	characteristic
737	#125	C₂³×C₈₃	1	2	yes	—
738	#124	—	2	1	no	—
739	#124	—	2	1	no	—
740	#124	—	2	1	no	—
741	#124	—	2	2	no	—
742	#124	—	2	2	no	—
743	#124	—	2	1	no	—
744	#124	C₂³×C₈₃	1	1	yes	characteristic
745	#124	C₂³×C₈₃	1	2	yes	—
746	#124	C₂³×C₈₃	1	2	yes	—
747	#124	C₂³×C₈₃	1	2	yes	—
748	#124	C₂³×C₈₃	1	2	yes	—
749	#123	—	2	1	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	—	2	2	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	1	no	—
770	C₂²⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
771	C₂²⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
772	C₂²⋊Q₈	D₄×C₈₃	1	2	yes	—
773	C₂²⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
774	#121	—	2	1	no	—
775	#121	—	2	1	no	—
776	#121	—	2	1	no	—
777	#121	—	2	2	no	—
778	#121	—	2	1	no	—
779	#121	—	2	2	no	—
780	#121	—	2	2	no	—
781	#121	C₂³×C₈₃	1	1	yes	characteristic
782	#121	C₂³×C₈₃	1	2	yes	—
783	C₄×Q₈	—	2	1	no	—
784	C₄×Q₈	—	2	1	no	—
785	C₄×Q₈	—	2	1	no	—
786	C₄×Q₈	—	2	1	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
789	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
790	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
791	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
792	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
793	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
794	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
795	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
796	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
798	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	C₂³×C₈₃	1	2	yes	—
810	C₄×D₄	C₂³×C₈₃	1	2	yes	—
811	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
812	C₄×D₄	C₂³×C₈₃	1	2	yes	—
813	C₄×D₄	C₂³×C₈₃	1	2	yes	—
814	C₄×D₄	C₂³×C₈₃	1	2	yes	—
815	C₄×D₄	C₂³×C₈₃	1	2	yes	—
816	#117	—	2	2	no	—
817	#117	—	2	2	no	—
818	#117	—	2	2	no	—
819	#117	—	2	1	no	—
820	#117	C₂³×C₈₃	1	2	yes	—
821	C₂×C₄⋊C₄	—	2	1	no	—
822	C₂×C₄⋊C₄	—	2	2	no	—
823	C₂×C₄⋊C₄	—	2	2	no	—
824	C₂×C₄⋊C₄	C₂³×C₈₃	1	1	yes	characteristic
825	C₂×C₄²	—	2	1	no	—
826	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
827	#107	C₂³×C₈₃	1	1	yes	characteristic
828	#107	C₂³×C₈₃	1	1	yes	characteristic
829	#106	C₂³×C₈₃	1	2	yes	—
830	#106	C₂³×C₈₃	1	1	yes	characteristic
831	#106	C₂³×C₈₃	1	2	yes	—
832	#106	C₂³×C₈₃	1	1	yes	characteristic
833	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
834	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
835	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
836	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
837	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
838	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
839	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
840	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
841	#103	C₂³×C₈₃	1	1	yes	characteristic
842	#103	C₂³×C₈₃	1	2	yes	—
843	#103	C₂³×C₈₃	1	2	yes	—
844	#103	C₂³×C₈₃	1	2	yes	—
845	#103	C₂³×C₈₃	1	1	yes	characteristic
846	#103	C₂³×C₈₃	1	1	yes	characteristic
847	#103	C₂³×C₈₃	1	2	yes	—
848	#103	C₂³×C₈₃	1	1	yes	characteristic
849	#103	C₂³×C₈₃	1	1	yes	characteristic
850	#103	C₂³×C₈₃	1	1	yes	characteristic
851	#103	C₂³×C₈₃	1	2	yes	—
852	#103	C₂³×C₈₃	1	2	yes	—
853	#102	C₂³×C₈₃	1	2	yes	—
854	#102	C₂³×C₈₃	1	2	yes	—
855	#102	C₂³×C₈₃	1	1	yes	characteristic
856	#102	C₂³×C₈₃	1	2	yes	—
857	#102	C₂³×C₈₃	1	1	yes	characteristic
858	#102	C₂³×C₈₃	1	2	yes	—
859	#102	C₂³×C₈₃	1	2	yes	—
860	#102	C₂³×C₈₃	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
862	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
863	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
864	#97	C₂³×C₈₃	1	2	yes	—
865	#97	C₂³×C₈₃	1	2	yes	—
866	C₄×C₈	C₂³×C₈₃	1	2	yes	—
867	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
868	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
869	C₄×C₈	C₂³×C₈₃	1	2	yes	—
870	C₄×C₈	C₂³×C₈₃	1	2	yes	—
871	#41	—	4	2	no	—
872	#41	—	4	2	no	—
873	#41	—	8	2	no	—
874	#41	—	8	2	no	—
875	C₂×Q₈	—	2	1	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	—	4	1	no	—
879	C₂×Q₈	—	4	1	no	—
880	C₂×Q₈	—	8	2	no	—
881	C₂×Q₈	C₂×D₄×C₈₃	1	1	yes	characteristic
882	C₂×Q₈	C₂×D₄×C₈₃	1	1	yes	characteristic
883	C₂×Q₈	C₂×D₄×C₈₃	1	2	yes	—
884	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
885	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
886	C₂×Q₈	C₂⁴×C₈₃	1	2	yes	—
887	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	1	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	—	2	1	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
898	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
899	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
911	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
912	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
913	Q₁₆	—	4	1	no	—
914	Q₁₆	—	4	2	no	—
915	Q₁₆	—	4	1	no	—
916	SD₁₆	—	4	1	no	—
917	SD₁₆	—	4	2	no	—
918	SD₁₆	—	4	1	no	—
919	SD₁₆	—	4	2	no	—
920	SD₁₆	—	4	2	no	—
921	SD₁₆	—	4	2	no	—
922	SD₁₆	—	4	2	no	—
923	SD₁₆	—	4	2	no	—
924	D₈	—	4	2	no	—
925	D₈	—	4	2	no	—
926	D₈	—	4	2	no	—
927	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
928	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
929	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
930	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
931	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
932	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
956	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
957	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
958	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
959	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
960	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
961	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
962	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
963	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
964	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
966	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
968	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	1	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	C₂×D₄×C₈₃	1	2	yes	—
990	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
991	C₄²	—	2	1	no	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	2	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	2	no	—
999	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
1000	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
1001	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1002	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1003	C₄²	C₂⁴×C₈₃	1	2	yes	—
1004	C₄²	C₂⁴×C₈₃	1	2	yes	—
1005	C₂³	—	2	2	no	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	2	no	—
1008	C₂³	C₂²×D₄×C₈₃	1	1	yes	characteristic
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	2	no	—
1011	Q₈	—	2	1	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	1	no	—
1014	Q₈	—	2	2	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	2	1	no	—
1017	Q₈	—	2	2	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	4	2	no	—
1020	Q₈	—	4	2	no	—
1021	Q₈	—	4	2	no	—
1022	Q₈	—	8	2	no	—
1023	D₄	—	2	1	no	—
1024	D₄	—	2	2	no	—
1025	D₄	—	2	2	no	—
1026	D₄	—	2	2	no	—
1027	D₄	—	2	2	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	4	4	no	—
1030	D₄	—	4	2	no	—
1031	D₄	—	4	2	no	—
1032	D₄	—	8	2	no	—
1033	D₄	—	8	1	no	—
1034	D₄	—	8	1	no	—
1035	D₄	—	8	2	no	—
1036	D₄	—	8	2	no	—
1037	D₄	—	8	1	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	4	1	no	—
1051	C₂×C₄	—	4	4	no	—
1052	C₂×C₄	—	4	2	no	—
1053	C₂×C₄	—	4	2	no	—
1054	C₂×C₄	—	8	2	no	—
1055	C₂×C₄	—	8	2	no	—
1056	C₂×C₄	—	8	2	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	—	8	2	no	—
1059	C₂×C₄	—	8	2	no	—
1060	C₂×C₄	—	8	1	no	—
1061	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1063	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1064	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1065	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1066	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1067	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1068	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1069	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1070	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1071	C₈	—	2	1	no	—
1072	C₈	—	2	1	no	—
1073	C₈	—	2	2	no	—
1074	C₈	—	2	2	no	—
1075	C₈	—	2	1	no	—
1076	C₈	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	2	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	1	no	—
1088	C₂²	—	4	2	no	—
1089	C₂²	C₂³×D₄×C₈₃	1	1	yes	characteristic
1090	C₄	—	2	1	no	—
1091	C₄	—	2	2	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	1	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	2	2	no	—
1097	C₄	—	2	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	2	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	1	no	—
1107	C₄	#577×C₈₃	1	2	yes	—
1108	C₄	#585×C₈₃	1	1	yes	characteristic
1109	C₄	#585×C₈₃	1	1	yes	characteristic
1110	C₂	—	4	1	no	—
1111	C₂	—	8	1	no	—
1112	C₂	—	8	2	no	—
1113	C₂	—	8	2	no	—
1114	C₂	C₈₃×#3487	1	1	yes	characteristic
1115	C₂	C₂×#577×C₈₃	1	1	yes	characteristic
1116	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 ◁ #533×C₈₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₃×#3554	C₂	semidirect
2. C₈₃×#3507	C₂	semidirect
3. C₈₃×#3401	C₂	semidirect
4. C₈₃×#3400	C₂	semidirect
5. C₈₃×#3399	C₂	semidirect
6. C₈₃×#3396	C₂	semidirect
7. C₈₃×#3394	C₂	semidirect
8. C₈₃×#3392	C₂	semidirect
9. C₈₃×#3376	C₂	semidirect
10. C₈₃×#3374	C₂	semidirect
11. C₈₃×#3373	C₂	semidirect
12. C₈₃×#3365	C₂	semidirect
13. C₈₃×#3360	C₂	semidirect
14. C₈₃×#3359	C₂	semidirect
15. C₈₃×#3225	C₂	semidirect
16. C₈₃×#3221	C₂	semidirect
17. C₈₃×#3212	C₂	semidirect
18. C₈₃×#3207	C₂	semidirect
19. C₈₃×#3125	C₂	semidirect
20. C₈₃×#3119	C₂	semidirect
21. C₈₃×#3108	C₂	semidirect
22. C₈₃×#3103	C₂	semidirect
23. C₈₃×#2986	C₂	semidirect
551. #61928	C₈₃	direct (N × H)
559. #3554	C₂×C₈₃	semidirect
560. #3507	C₂×C₈₃	semidirect
561. #3401	C₂×C₈₃	semidirect
562. #3400	C₂×C₈₃	semidirect
563. #3399	C₂×C₈₃	semidirect
564. #3396	C₂×C₈₃	semidirect
565. #3394	C₂×C₈₃	semidirect
566. #3392	C₂×C₈₃	semidirect
567. #3376	C₂×C₈₃	semidirect
568. #3374	C₂×C₈₃	semidirect
569. #3373	C₂×C₈₃	semidirect
570. #3365	C₂×C₈₃	semidirect
571. #3360	C₂×C₈₃	semidirect
572. #3359	C₂×C₈₃	semidirect
573. #3225	C₂×C₈₃	semidirect
574. #3221	C₂×C₈₃	semidirect
575. #3212	C₂×C₈₃	semidirect
576. #3207	C₂×C₈₃	semidirect
577. #3125	C₂×C₈₃	semidirect
578. #3119	C₂×C₈₃	semidirect
579. #3108	C₂×C₈₃	semidirect
580. #3103	C₂×C₈₃	semidirect
581. #2986	C₂×C₈₃	semidirect
582. C₈₃	#61928	direct (N × H)

Maximal subgroups

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

subgroup	index
C₈₃×#3554	2
C₈₃×#3507	2
C₈₃×#3401	2
C₈₃×#3400	2
C₈₃×#3399	2
C₈₃×#3396	2
C₈₃×#3394	2
C₈₃×#3392	2
C₈₃×#3376	2
C₈₃×#3374	2
C₈₃×#3373	2
C₈₃×#3365	2
C₈₃×#3360	2
C₈₃×#3359	2
C₈₃×#3225	2
C₈₃×#3221	2
C₈₃×#3212	2
C₈₃×#3207	2
C₈₃×#3125	2
C₈₃×#3119	2
C₈₃×#3108	2
C₈₃×#3103	2
C₈₃×#2986	2
#61928	83

Subgroups — C83×#61928 #35289752

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#61928 #35289752