Subgroups — C₈₃×#61902 #35289726

Order 21248.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1128 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₃×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₃×#3403	C₂	1	2	yes	maximal, complemented
4	C₈₃×#3401	C₂	1	2	yes	maximal, complemented
5	C₈₃×#3398	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₃×#3394	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₃×#3393	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₃×#3377	C₂	1	2	yes	maximal, complemented
10	C₈₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₃×#3371	C₂	1	2	yes	maximal, complemented
12	C₈₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₃×#3360	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₃×#3219	C₂	1	2	yes	maximal, complemented
16	C₈₃×#3214	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₃×#3212	C₂	1	2	yes	maximal, complemented
18	C₈₃×#3210	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₃×#3111	C₂	1	2	yes	maximal, complemented
21	C₈₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₃×#3102	C₂	1	2	yes	maximal, complemented
23	C₈₃×#2984	C₂	1	1	yes	maximal, characteristic, complemented
24	#559×C₈₃	C₂²	1	1	yes	characteristic
25	#559×C₈₃	C₂²	1	2	yes	—
26	#559×C₈₃	C₂²	1	2	yes	—
27	#557×C₈₃	C₂²	1	1	yes	characteristic
28	#557×C₈₃	C₂²	1	2	yes	—
29	#556×C₈₃	—	2	2	no	—
30	#556×C₈₃	C₂²	1	1	yes	characteristic
31	#556×C₈₃	C₂²	1	2	yes	—
32	#556×C₈₃	C₂²	1	1	yes	characteristic
33	#556×C₈₃	C₂²	1	1	yes	characteristic
34	#554×C₈₃	C₂²	1	1	yes	characteristic
35	#554×C₈₃	C₂²	1	1	yes	characteristic
36	#553×C₈₃	—	2	1	no	—
37	#553×C₈₃	—	2	2	no	—
38	#552×C₈₃	—	2	1	no	—
39	#552×C₈₃	—	2	1	no	—
40	#550×C₈₃	C₂²	1	1	yes	characteristic
41	#548×C₈₃	—	2	1	no	—
42	#539×C₈₃	—	2	2	no	—
43	#536×C₈₃	—	2	1	no	—
44	#533×C₈₃	C₂²	1	1	yes	characteristic
45	#532×C₈₃	C₂²	1	1	yes	characteristic
46	#532×C₈₃	C₂²	1	2	yes	—
47	#532×C₈₃	C₂²	1	1	yes	characteristic
48	#529×C₈₃	—	2	1	no	—
49	#529×C₈₃	—	2	2	no	—
50	#529×C₈₃	C₂²	1	2	yes	—
51	#529×C₈₃	C₂²	1	2	yes	—
52	#520×C₈₃	—	2	1	no	—
53	C₄×#41×C₈₃	—	2	1	no	—
54	C₄×#41×C₈₃	C₂²	1	2	yes	—
55	C₄×#41×C₈₃	C₂²	1	1	yes	characteristic
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	#496×C₈₃	C₂²	1	2	yes	—
60	#495×C₈₃	C₂²	1	2	yes	—
61	#495×C₈₃	C₂²	1	2	yes	—
62	#494×C₈₃	C₂²	1	1	yes	characteristic
63	#492×C₈₃	C₂²	1	1	yes	characteristic
64	#491×C₈₃	C₂²	1	2	yes	—
65	#490×C₈₃	C₂²	1	2	yes	—
66	#489×C₈₃	C₂²	1	2	yes	—
67	#488×C₈₃	C₂²	1	2	yes	—
68	#488×C₈₃	C₂²	1	2	yes	—
69	#487×C₈₃	C₂²	1	1	yes	characteristic
70	#486×C₈₃	C₂²	1	1	yes	characteristic
71	#485×C₈₃	C₂²	1	2	yes	—
72	#482×C₈₃	C₂²	1	1	yes	characteristic
73	#482×C₈₃	C₂²	1	1	yes	characteristic
74	#479×C₈₃	C₂²	1	2	yes	—
75	#479×C₈₃	C₂²	1	2	yes	—
76	#478×C₈₃	C₂²	1	2	yes	—
77	#478×C₈₃	C₂²	1	2	yes	—
78	#477×C₈₃	C₂²	1	1	yes	characteristic
79	#477×C₈₃	C₂²	1	1	yes	characteristic
80	#476×C₈₃	C₂²	1	1	yes	characteristic
81	#476×C₈₃	C₂²	1	1	yes	characteristic
82	#464×C₈₃	C₂²	1	2	yes	—
83	#464×C₈₃	C₂²	1	2	yes	—
84	#464×C₈₃	C₂²	1	2	yes	—
85	#464×C₈₃	C₂²	1	2	yes	—
86	#464×C₈₃	C₂²	1	2	yes	—
87	#464×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	1	yes	characteristic
93	#462×C₈₃	C₂²	1	2	yes	—
94	#461×C₈₃	C₂²	1	1	yes	characteristic
95	#461×C₈₃	C₂²	1	1	yes	characteristic
96	#461×C₈₃	C₂²	1	1	yes	characteristic
97	#461×C₈₃	C₂²	1	2	yes	—
98	#460×C₈₃	C₂²	1	1	yes	characteristic
99	#460×C₈₃	C₂²	1	2	yes	—
100	#459×C₈₃	C₂²	1	1	yes	characteristic
101	#459×C₈₃	C₂²	1	1	yes	characteristic
102	#459×C₈₃	C₂²	1	1	yes	characteristic
103	#459×C₈₃	C₂²	1	2	yes	—
104	#452×C₈₃	C₂²	1	2	yes	—
105	#452×C₈₃	C₂²	1	2	yes	—
106	#452×C₈₃	C₂²	1	2	yes	—
107	#449×C₈₃	C₂²	1	2	yes	—
108	#449×C₈₃	C₂²	1	1	yes	characteristic
109	#449×C₈₃	C₂²	1	1	yes	characteristic
110	#449×C₈₃	C₂²	1	2	yes	—
111	#446×C₈₃	C₂²	1	1	yes	characteristic
112	#446×C₈₃	C₂²	1	2	yes	—
113	#446×C₈₃	C₂²	1	1	yes	characteristic
114	#446×C₈₃	C₂²	1	2	yes	—
115	C₈×Q₈×C₈₃	C₂²	1	1	yes	characteristic
116	C₈×Q₈×C₈₃	C₂²	1	1	yes	characteristic
117	#442×C₈₃	C₂²	1	2	yes	—
118	#441×C₈₃	C₂²	1	2	yes	—
119	#441×C₈₃	C₂²	1	2	yes	—
120	#440×C₈₃	C₂²	1	2	yes	—
121	#440×C₈₃	C₂²	1	2	yes	—
122	#440×C₈₃	C₂²	1	2	yes	—
123	C₄×Q₁₆×C₈₃	C₂²	1	2	yes	—
124	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
125	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
126	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
127	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
128	C₄×D₈×C₈₃	C₂²	1	2	yes	—
129	C₄×D₈×C₈₃	C₂²	1	1	yes	characteristic
130	C₄×D₈×C₈₃	C₂²	1	1	yes	characteristic
131	#432×C₈₃	C₂²	1	2	yes	—
132	#432×C₈₃	C₂²	1	1	yes	characteristic
133	#431×C₈₃	C₂²	1	2	yes	—
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	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₈₃	D₄	1	1	yes	characteristic
140	C₂×Q₁₆×C₈₃	C₂³	1	2	yes	—
141	C₂×Q₁₆×C₈₃	C₂³	1	2	yes	—
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×D₈×C₈₃	C₂³	1	2	yes	—
151	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
152	C₂×D₈×C₈₃	C₂³	1	2	yes	—
153	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
154	C₄⋊Q₈×C₈₃	—	2	2	no	—
155	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
156	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
157	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
158	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
159	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
160	#127×C₈₃	C₂³	1	1	yes	characteristic
161	#127×C₈₃	C₂³	1	2	yes	—
162	#127×C₈₃	C₂³	1	1	yes	characteristic
163	#126×C₈₃	—	2	2	no	—
164	#126×C₈₃	—	2	2	no	—
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	#125×C₈₃	—	2	1	no	—
171	#125×C₈₃	—	2	2	no	—
172	#125×C₈₃	—	2	2	no	—
173	#125×C₈₃	—	2	2	no	—
174	#125×C₈₃	—	2	1	no	—
175	#125×C₈₃	C₂³	1	2	yes	—
176	#125×C₈₃	C₂³	1	2	yes	—
177	#124×C₈₃	—	2	1	no	—
178	#124×C₈₃	—	2	2	no	—
179	#124×C₈₃	—	2	2	no	—
180	#124×C₈₃	—	2	1	no	—
181	#124×C₈₃	C₂³	1	2	yes	—
182	#124×C₈₃	C₂³	1	2	yes	—
183	#124×C₈₃	C₂³	1	2	yes	—
184	#124×C₈₃	C₂³	1	2	yes	—
185	#124×C₈₃	C₂³	1	2	yes	—
186	#123×C₈₃	—	2	2	no	—
187	#123×C₈₃	—	2	2	no	—
188	#123×C₈₃	—	2	2	no	—
189	#123×C₈₃	—	2	2	no	—
190	#123×C₈₃	—	2	2	no	—
191	#123×C₈₃	—	2	2	no	—
192	#123×C₈₃	—	2	2	no	—
193	C₂²⋊Q₈×C₈₃	—	2	1	no	—
194	C₂²⋊Q₈×C₈₃	—	2	2	no	—
195	C₂²⋊Q₈×C₈₃	—	2	1	no	—
196	C₂²⋊Q₈×C₈₃	—	2	1	no	—
197	C₂²⋊Q₈×C₈₃	—	2	1	no	—
198	C₂²⋊Q₈×C₈₃	—	2	1	no	—
199	C₂²⋊Q₈×C₈₃	—	2	1	no	—
200	C₂²⋊Q₈×C₈₃	—	2	2	no	—
201	C₂²⋊Q₈×C₈₃	—	2	2	no	—
202	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
203	#121×C₈₃	—	2	1	no	—
204	#121×C₈₃	—	2	1	no	—
205	#121×C₈₃	—	2	2	no	—
206	#121×C₈₃	—	2	2	no	—
207	#121×C₈₃	—	2	1	no	—
208	#121×C₈₃	—	2	1	no	—
209	#121×C₈₃	—	2	2	no	—
210	#121×C₈₃	C₂³	1	1	yes	characteristic
211	#121×C₈₃	C₂³	1	1	yes	characteristic
212	C₄×Q₈×C₈₃	—	2	1	no	—
213	C₄×Q₈×C₈₃	—	2	2	no	—
214	C₄×Q₈×C₈₃	—	2	1	no	—
215	C₄×Q₈×C₈₃	D₄	1	1	yes	characteristic
216	C₄×Q₈×C₈₃	D₄	1	1	yes	characteristic
217	C₄×Q₈×C₈₃	D₄	1	2	yes	—
218	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
219	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
220	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
221	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
222	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
223	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
225	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
228	C₄×D₄×C₈₃	—	2	1	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	2	no	—
233	C₄×D₄×C₈₃	—	2	2	no	—
234	C₄×D₄×C₈₃	—	2	1	no	—
235	C₄×D₄×C₈₃	—	2	2	no	—
236	C₄×D₄×C₈₃	—	2	2	no	—
237	C₄×D₄×C₈₃	—	2	2	no	—
238	C₄×D₄×C₈₃	—	2	1	no	—
239	C₄×D₄×C₈₃	—	2	2	no	—
240	C₄×D₄×C₈₃	—	2	1	no	—
241	C₄×D₄×C₈₃	—	2	1	no	—
242	C₄×D₄×C₈₃	C₂³	1	2	yes	—
243	C₄×D₄×C₈₃	C₂³	1	2	yes	—
244	C₄×D₄×C₈₃	C₂³	1	2	yes	—
245	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₈₃	C₂³	1	2	yes	—
248	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
250	#117×C₈₃	—	2	1	no	—
251	#117×C₈₃	—	2	1	no	—
252	#117×C₈₃	—	2	2	no	—
253	#117×C₈₃	—	2	1	no	—
254	#117×C₈₃	—	2	1	no	—
255	#117×C₈₃	—	2	2	no	—
256	#117×C₈₃	—	2	1	no	—
257	#117×C₈₃	—	2	2	no	—
258	#117×C₈₃	—	2	2	no	—
259	#117×C₈₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
261	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
262	C₂×C₄⋊C₄×C₈₃	D₄	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₈₃	D₄	1	2	yes	—
264	C₂×C₄²×C₈₃	—	2	2	no	—
265	C₂×C₄²×C₈₃	—	2	1	no	—
266	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
267	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
268	#107×C₈₃	C₂³	1	1	yes	characteristic
269	#107×C₈₃	C₂³	1	2	yes	—
270	#107×C₈₃	C₂³	1	1	yes	characteristic
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	2	yes	—
275	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
276	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
277	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
278	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
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	2	yes	—
283	#103×C₈₃	C₂³	1	2	yes	—
284	#103×C₈₃	C₂³	1	2	yes	—
285	#103×C₈₃	C₂³	1	2	yes	—
286	#103×C₈₃	C₂³	1	1	yes	characteristic
287	#103×C₈₃	C₂³	1	2	yes	—
288	#103×C₈₃	C₂³	1	2	yes	—
289	#103×C₈₃	C₂³	1	1	yes	characteristic
290	#103×C₈₃	C₂³	1	2	yes	—
291	#102×C₈₃	C₂³	1	1	yes	characteristic
292	#102×C₈₃	C₂³	1	1	yes	characteristic
293	#102×C₈₃	C₂³	1	2	yes	—
294	#102×C₈₃	C₂³	1	2	yes	—
295	#102×C₈₃	C₂³	1	1	yes	characteristic
296	#102×C₈₃	C₂³	1	1	yes	characteristic
297	#102×C₈₃	C₂³	1	1	yes	characteristic
298	#102×C₈₃	C₂³	1	2	yes	—
299	#102×C₈₃	C₂³	1	2	yes	—
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	1	yes	characteristic
304	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
305	#97×C₈₃	C₂³	1	2	yes	—
306	#97×C₈₃	C₂³	1	2	yes	—
307	#97×C₈₃	C₂³	1	2	yes	—
308	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₈₃	C₂³	1	2	yes	—
311	C₄×C₈×C₈₃	C₂³	1	2	yes	—
312	#41×C₈₃	—	4	1	no	—
313	#41×C₈₃	—	4	2	no	—
314	#41×C₈₃	—	4	2	no	—
315	#41×C₈₃	—	4	1	no	—
316	#41×C₈₃	—	4	4	no	—
317	#41×C₈₃	—	4	4	no	—
318	C₂×Q₈×C₈₃	—	2	1	no	—
319	C₂×Q₈×C₈₃	—	2	1	no	—
320	C₂×Q₈×C₈₃	—	4	2	no	—
321	C₂×Q₈×C₈₃	C₂×D₄	1	1	yes	characteristic
322	C₂×Q₈×C₈₃	C₂×D₄	1	1	yes	characteristic
323	C₂×Q₈×C₈₃	C₂×D₄	1	2	yes	—
324	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
325	C₂×Q₈×C₈₃	C₂⁴	1	2	yes	—
326	C₂×Q₈×C₈₃	C₂⁴	1	2	yes	—
327	C₂×D₄×C₈₃	—	2	1	no	—
328	C₂×D₄×C₈₃	—	2	2	no	—
329	C₂×D₄×C₈₃	—	2	1	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	2	no	—
335	C₂×D₄×C₈₃	—	2	1	no	—
336	C₂×D₄×C₈₃	—	2	1	no	—
337	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
339	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
340	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₈₃	—	2	2	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	1	no	—
346	C₂²×C₄×C₈₃	—	2	1	no	—
347	C₂²×C₄×C₈₃	—	2	2	no	—
348	C₂²×C₄×C₈₃	—	2	1	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	2	yes	—
353	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₈₃	C₂×D₄	1	2	yes	—
355	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
356	Q₁₆×C₈₃	—	4	2	no	—
357	Q₁₆×C₈₃	—	4	2	no	—
358	Q₁₆×C₈₃	—	4	2	no	—
359	SD₁₆×C₈₃	—	4	2	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	1	no	—
365	SD₁₆×C₈₃	—	4	1	no	—
366	D₈×C₈₃	—	4	2	no	—
367	D₈×C₈₃	—	4	1	no	—
368	D₈×C₈₃	—	4	2	no	—
369	D₈×C₈₃	—	4	1	no	—
370	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
374	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
376	C₄⋊C₄×C₈₃	—	2	1	no	—
377	C₄⋊C₄×C₈₃	—	2	2	no	—
378	C₄⋊C₄×C₈₃	—	2	2	no	—
379	C₄⋊C₄×C₈₃	—	2	1	no	—
380	C₄⋊C₄×C₈₃	—	2	2	no	—
381	C₄⋊C₄×C₈₃	—	2	2	no	—
382	C₄⋊C₄×C₈₃	—	2	1	no	—
383	C₄⋊C₄×C₈₃	—	2	1	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	2	no	—
388	C₄⋊C₄×C₈₃	—	2	2	no	—
389	C₄⋊C₄×C₈₃	—	2	1	no	—
390	C₄⋊C₄×C₈₃	—	2	2	no	—
391	C₄⋊C₄×C₈₃	—	2	1	no	—
392	C₄⋊C₄×C₈₃	—	2	1	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	C₂×D₄	1	1	yes	characteristic
397	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
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	2	yes	—
401	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
404	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
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	C₂²⋊C₄×C₈₃	—	2	2	no	—
409	C₂²⋊C₄×C₈₃	—	2	1	no	—
410	C₂²⋊C₄×C₈₃	—	2	1	no	—
411	C₂²⋊C₄×C₈₃	—	2	1	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	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	2	no	—
426	C₂²⋊C₄×C₈₃	—	2	1	no	—
427	C₂²⋊C₄×C₈₃	—	2	1	no	—
428	C₂²⋊C₄×C₈₃	—	2	2	no	—
429	C₂²⋊C₄×C₈₃	—	2	2	no	—
430	C₄²×C₈₃	—	2	1	no	—
431	C₄²×C₈₃	—	2	2	no	—
432	C₄²×C₈₃	—	2	1	no	—
433	C₄²×C₈₃	—	2	2	no	—
434	C₄²×C₈₃	—	2	1	no	—
435	C₄²×C₈₃	—	2	2	no	—
436	C₄²×C₈₃	—	2	2	no	—
437	C₄²×C₈₃	—	2	2	no	—
438	C₄²×C₈₃	C₂×D₄	1	2	yes	—
439	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
440	C₄²×C₈₃	C₂×D₄	1	2	yes	—
441	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
443	C₄²×C₈₃	C₂⁴	1	2	yes	—
444	C₄²×C₈₃	C₂⁴	1	2	yes	—
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	—	2	2	no	—
450	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
451	Q₈×C₈₃	—	2	2	no	—
452	Q₈×C₈₃	—	2	2	no	—
453	Q₈×C₈₃	—	2	2	no	—
454	Q₈×C₈₃	—	2	1	no	—
455	Q₈×C₈₃	—	2	2	no	—
456	Q₈×C₈₃	—	2	2	no	—
457	Q₈×C₈₃	—	2	2	no	—
458	Q₈×C₈₃	—	2	1	no	—
459	Q₈×C₈₃	—	4	2	no	—
460	Q₈×C₈₃	—	4	2	no	—
461	Q₈×C₈₃	—	8	1	no	—
462	D₄×C₈₃	—	2	1	no	—
463	D₄×C₈₃	—	2	1	no	—
464	D₄×C₈₃	—	2	1	no	—
465	D₄×C₈₃	—	2	1	no	—
466	D₄×C₈₃	—	2	2	no	—
467	D₄×C₈₃	—	2	2	no	—
468	D₄×C₈₃	—	2	1	no	—
469	D₄×C₈₃	—	2	1	no	—
470	D₄×C₈₃	—	4	2	no	—
471	D₄×C₈₃	—	4	4	no	—
472	D₄×C₈₃	—	4	2	no	—
473	D₄×C₈₃	—	4	4	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	1	no	—
480	C₂×C₄×C₈₃	—	2	2	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	2	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	1	no	—
490	C₂×C₄×C₈₃	—	2	2	no	—
491	C₂×C₄×C₈₃	—	4	2	no	—
492	C₂×C₄×C₈₃	—	4	1	no	—
493	C₂×C₄×C₈₃	—	4	2	no	—
494	C₂×C₄×C₈₃	—	4	2	no	—
495	C₂×C₄×C₈₃	—	4	4	no	—
496	C₂×C₄×C₈₃	—	4	4	no	—
497	C₂×C₄×C₈₃	—	4	2	no	—
498	C₂×C₄×C₈₃	—	4	2	no	—
499	C₂×C₄×C₈₃	—	4	2	no	—
500	C₂×C₄×C₈₃	—	8	2	no	—
501	C₂×C₄×C₈₃	—	8	2	no	—
502	C₂×C₄×C₈₃	—	8	1	no	—
503	C₂×C₄×C₈₃	—	8	2	no	—
504	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
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	2	yes	—
509	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
510	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
511	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
514	C₈×C₈₃	—	2	2	no	—
515	C₈×C₈₃	—	2	1	no	—
516	C₈×C₈₃	—	2	2	no	—
517	C₈×C₈₃	—	2	1	no	—
518	C₈×C₈₃	—	2	1	no	—
519	C₈×C₈₃	—	2	1	no	—
520	C₂²×C₈₃	—	2	1	no	—
521	C₂²×C₈₃	—	2	1	no	—
522	C₂²×C₈₃	—	2	1	no	—
523	C₂²×C₈₃	—	4	1	no	—
524	C₂²×C₈₃	—	4	1	no	—
525	C₂²×C₈₃	—	4	2	no	—
526	C₂²×C₈₃	—	4	1	no	—
527	C₂²×C₈₃	—	4	1	no	—
528	C₂²×C₈₃	—	4	2	no	—
529	C₂²×C₈₃	—	4	1	no	—
530	C₂²×C₈₃	—	4	1	no	—
531	C₂²×C₈₃	—	4	2	no	—
532	C₂²×C₈₃	—	4	1	no	—
533	C₂²×C₈₃	—	4	1	no	—
534	C₂²×C₈₃	—	4	1	no	—
535	C₂²×C₈₃	C₂³×D₄	1	1	yes	characteristic
536	C₄×C₈₃	—	2	2	no	—
537	C₄×C₈₃	—	2	2	no	—
538	C₄×C₈₃	—	2	1	no	—
539	C₄×C₈₃	—	2	1	no	—
540	C₄×C₈₃	—	2	1	no	—
541	C₄×C₈₃	—	2	1	no	—
542	C₄×C₈₃	—	2	2	no	—
543	C₄×C₈₃	—	2	2	no	—
544	C₄×C₈₃	—	4	1	no	—
545	C₄×C₈₃	—	4	2	no	—
546	C₄×C₈₃	—	4	1	no	—
547	C₄×C₈₃	—	4	2	no	—
548	C₄×C₈₃	—	4	2	no	—
549	C₄×C₈₃	—	4	1	no	—
550	C₄×C₈₃	—	4	1	no	—
551	C₄×C₈₃	—	4	1	no	—
552	C₄×C₈₃	#575	1	2	yes	—
553	C₄×C₈₃	#585	1	1	yes	characteristic
554	C₄×C₈₃	#585	1	1	yes	characteristic
555	#61902	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
556	C₂×C₈₃	—	4	1	no	—
557	C₂×C₈₃	—	8	1	no	—
558	C₂×C₈₃	—	8	1	no	—
559	C₂×C₈₃	—	8	1	no	—
560	C₂×C₈₃	—	8	2	no	—
561	C₂×C₈₃	#3487	1	1	yes	characteristic
562	C₂×C₈₃	C₂×#575	1	1	yes	characteristic
563	C₂×C₈₃	#3584	1	1	yes	characteristic
564	#3507	C₂×C₈₃	1	1	yes	characteristic, complemented
565	#3480	C₂×C₈₃	1	1	yes	characteristic, complemented
566	#3403	C₂×C₈₃	1	2	yes	complemented
567	#3401	C₂×C₈₃	1	2	yes	complemented
568	#3398	C₂×C₈₃	1	1	yes	characteristic, complemented
569	#3397	C₂×C₈₃	1	1	yes	characteristic, complemented
570	#3394	C₂×C₈₃	1	1	yes	characteristic, complemented
571	#3393	C₂×C₈₃	1	1	yes	characteristic, complemented
572	#3377	C₂×C₈₃	1	2	yes	complemented
573	#3372	C₂×C₈₃	1	1	yes	characteristic, complemented
574	#3371	C₂×C₈₃	1	2	yes	complemented
575	#3366	C₂×C₈₃	1	1	yes	characteristic, complemented
576	#3361	C₂×C₈₃	1	1	yes	characteristic, complemented
577	#3360	C₂×C₈₃	1	1	yes	characteristic, complemented
578	#3219	C₂×C₈₃	1	2	yes	complemented
579	#3214	C₂×C₈₃	1	1	yes	characteristic, complemented
580	#3212	C₂×C₈₃	1	2	yes	complemented
581	#3210	C₂×C₈₃	1	1	yes	characteristic, complemented
582	#3116	C₂×C₈₃	1	1	yes	characteristic, complemented
583	#3111	C₂×C₈₃	1	2	yes	complemented
584	#3106	C₂×C₈₃	1	1	yes	characteristic, complemented
585	#3102	C₂×C₈₃	1	2	yes	complemented
586	#2984	C₂×C₈₃	1	1	yes	characteristic, complemented
587	C₈₃	#61902	1	1	yes	characteristic, direct product factor, Sylow
588	#559	C₂²×C₈₃	1	1	yes	characteristic
589	#559	C₂²×C₈₃	1	2	yes	—
590	#559	C₂²×C₈₃	1	2	yes	—
591	#557	C₂²×C₈₃	1	1	yes	characteristic
592	#557	C₂²×C₈₃	1	2	yes	—
593	#556	—	2	2	no	—
594	#556	C₂²×C₈₃	1	1	yes	characteristic
595	#556	C₂²×C₈₃	1	2	yes	—
596	#556	C₂²×C₈₃	1	1	yes	characteristic
597	#556	C₂²×C₈₃	1	1	yes	characteristic
598	#554	C₂²×C₈₃	1	1	yes	characteristic
599	#554	C₂²×C₈₃	1	1	yes	characteristic
600	#553	—	2	1	no	—
601	#553	—	2	2	no	—
602	#552	—	2	1	no	—
603	#552	—	2	1	no	—
604	#550	C₂²×C₈₃	1	1	yes	characteristic
605	#548	—	2	1	no	—
606	#539	—	2	2	no	—
607	#536	—	2	1	no	—
608	#533	C₂²×C₈₃	1	1	yes	characteristic
609	#532	C₂²×C₈₃	1	1	yes	characteristic
610	#532	C₂²×C₈₃	1	2	yes	—
611	#532	C₂²×C₈₃	1	1	yes	characteristic
612	#529	—	2	1	no	—
613	#529	—	2	2	no	—
614	#529	C₂²×C₈₃	1	2	yes	—
615	#529	C₂²×C₈₃	1	2	yes	—
616	#520	—	2	1	no	—
617	C₄×#41	—	2	1	no	—
618	C₄×#41	C₂²×C₈₃	1	2	yes	—
619	C₄×#41	C₂²×C₈₃	1	1	yes	characteristic
620	C₂×C₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic
621	#497	C₂²×C₈₃	1	2	yes	—
622	#496	C₂²×C₈₃	1	2	yes	—
623	#496	C₂²×C₈₃	1	2	yes	—
624	#495	C₂²×C₈₃	1	2	yes	—
625	#495	C₂²×C₈₃	1	2	yes	—
626	#494	C₂²×C₈₃	1	1	yes	characteristic
627	#492	C₂²×C₈₃	1	1	yes	characteristic
628	#491	C₂²×C₈₃	1	2	yes	—
629	#490	C₂²×C₈₃	1	2	yes	—
630	#489	C₂²×C₈₃	1	2	yes	—
631	#488	C₂²×C₈₃	1	2	yes	—
632	#488	C₂²×C₈₃	1	2	yes	—
633	#487	C₂²×C₈₃	1	1	yes	characteristic
634	#486	C₂²×C₈₃	1	1	yes	characteristic
635	#485	C₂²×C₈₃	1	2	yes	—
636	#482	C₂²×C₈₃	1	1	yes	characteristic
637	#482	C₂²×C₈₃	1	1	yes	characteristic
638	#479	C₂²×C₈₃	1	2	yes	—
639	#479	C₂²×C₈₃	1	2	yes	—
640	#478	C₂²×C₈₃	1	2	yes	—
641	#478	C₂²×C₈₃	1	2	yes	—
642	#477	C₂²×C₈₃	1	1	yes	characteristic
643	#477	C₂²×C₈₃	1	1	yes	characteristic
644	#476	C₂²×C₈₃	1	1	yes	characteristic
645	#476	C₂²×C₈₃	1	1	yes	characteristic
646	#464	C₂²×C₈₃	1	2	yes	—
647	#464	C₂²×C₈₃	1	2	yes	—
648	#464	C₂²×C₈₃	1	2	yes	—
649	#464	C₂²×C₈₃	1	2	yes	—
650	#464	C₂²×C₈₃	1	2	yes	—
651	#464	C₂²×C₈₃	1	2	yes	—
652	#463	C₂²×C₈₃	1	2	yes	—
653	#463	C₂²×C₈₃	1	2	yes	—
654	#463	C₂²×C₈₃	1	2	yes	—
655	#463	C₂²×C₈₃	1	2	yes	—
656	#462	C₂²×C₈₃	1	1	yes	characteristic
657	#462	C₂²×C₈₃	1	2	yes	—
658	#461	C₂²×C₈₃	1	1	yes	characteristic
659	#461	C₂²×C₈₃	1	1	yes	characteristic
660	#461	C₂²×C₈₃	1	1	yes	characteristic
661	#461	C₂²×C₈₃	1	2	yes	—
662	#460	C₂²×C₈₃	1	1	yes	characteristic
663	#460	C₂²×C₈₃	1	2	yes	—
664	#459	C₂²×C₈₃	1	1	yes	characteristic
665	#459	C₂²×C₈₃	1	1	yes	characteristic
666	#459	C₂²×C₈₃	1	1	yes	characteristic
667	#459	C₂²×C₈₃	1	2	yes	—
668	#452	C₂²×C₈₃	1	2	yes	—
669	#452	C₂²×C₈₃	1	2	yes	—
670	#452	C₂²×C₈₃	1	2	yes	—
671	#449	C₂²×C₈₃	1	2	yes	—
672	#449	C₂²×C₈₃	1	1	yes	characteristic
673	#449	C₂²×C₈₃	1	1	yes	characteristic
674	#449	C₂²×C₈₃	1	2	yes	—
675	#446	C₂²×C₈₃	1	1	yes	characteristic
676	#446	C₂²×C₈₃	1	2	yes	—
677	#446	C₂²×C₈₃	1	1	yes	characteristic
678	#446	C₂²×C₈₃	1	2	yes	—
679	C₈×Q₈	C₂²×C₈₃	1	1	yes	characteristic
680	C₈×Q₈	C₂²×C₈₃	1	1	yes	characteristic
681	#442	C₂²×C₈₃	1	2	yes	—
682	#441	C₂²×C₈₃	1	2	yes	—
683	#441	C₂²×C₈₃	1	2	yes	—
684	#440	C₂²×C₈₃	1	2	yes	—
685	#440	C₂²×C₈₃	1	2	yes	—
686	#440	C₂²×C₈₃	1	2	yes	—
687	C₄×Q₁₆	C₂²×C₈₃	1	2	yes	—
688	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
689	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
690	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
691	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
692	C₄×D₈	C₂²×C₈₃	1	2	yes	—
693	C₄×D₈	C₂²×C₈₃	1	1	yes	characteristic
694	C₄×D₈	C₂²×C₈₃	1	1	yes	characteristic
695	#432	C₂²×C₈₃	1	2	yes	—
696	#432	C₂²×C₈₃	1	1	yes	characteristic
697	#431	C₂²×C₈₃	1	2	yes	—
698	#431	C₂²×C₈₃	1	1	yes	characteristic
699	C₂×#41	—	2	1	no	—
700	C₂×#41	—	2	1	no	—
701	C₂×#41	C₂³×C₈₃	1	2	yes	—
702	C₂×#41	C₂³×C₈₃	1	1	yes	characteristic
703	C₂²×Q₈	D₄×C₈₃	1	1	yes	characteristic
704	C₂×Q₁₆	C₂³×C₈₃	1	2	yes	—
705	C₂×Q₁₆	C₂³×C₈₃	1	2	yes	—
706	C₂×Q₁₆	C₂³×C₈₃	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
708	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
709	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
710	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
711	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
712	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
713	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
714	C₂×D₈	C₂³×C₈₃	1	1	yes	characteristic
715	C₂×D₈	C₂³×C₈₃	1	2	yes	—
716	C₂×D₈	C₂³×C₈₃	1	1	yes	characteristic
717	C₂×D₈	C₂³×C₈₃	1	2	yes	—
718	C₄⋊Q₈	—	2	2	no	—
719	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
721	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
723	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
724	#127	C₂³×C₈₃	1	1	yes	characteristic
725	#127	C₂³×C₈₃	1	2	yes	—
726	#127	C₂³×C₈₃	1	1	yes	characteristic
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	—	2	2	no	—
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#126	—	2	2	no	—
734	#125	—	2	1	no	—
735	#125	—	2	2	no	—
736	#125	—	2	2	no	—
737	#125	—	2	2	no	—
738	#125	—	2	1	no	—
739	#125	C₂³×C₈₃	1	2	yes	—
740	#125	C₂³×C₈₃	1	2	yes	—
741	#124	—	2	1	no	—
742	#124	—	2	2	no	—
743	#124	—	2	2	no	—
744	#124	—	2	1	no	—
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	#124	C₂³×C₈₃	1	2	yes	—
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	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	1	no	—
760	C₂²⋊Q₈	—	2	1	no	—
761	C₂²⋊Q₈	—	2	1	no	—
762	C₂²⋊Q₈	—	2	1	no	—
763	C₂²⋊Q₈	—	2	1	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
767	#121	—	2	1	no	—
768	#121	—	2	1	no	—
769	#121	—	2	2	no	—
770	#121	—	2	2	no	—
771	#121	—	2	1	no	—
772	#121	—	2	1	no	—
773	#121	—	2	2	no	—
774	#121	C₂³×C₈₃	1	1	yes	characteristic
775	#121	C₂³×C₈₃	1	1	yes	characteristic
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	2	no	—
778	C₄×Q₈	—	2	1	no	—
779	C₄×Q₈	D₄×C₈₃	1	1	yes	characteristic
780	C₄×Q₈	D₄×C₈₃	1	1	yes	characteristic
781	C₄×Q₈	D₄×C₈₃	1	2	yes	—
782	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
783	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
784	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
785	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
786	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
787	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
788	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
789	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
790	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
791	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	2	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	2	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
807	C₄×D₄	C₂³×C₈₃	1	2	yes	—
808	C₄×D₄	C₂³×C₈₃	1	2	yes	—
809	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
810	C₄×D₄	C₂³×C₈₃	1	2	yes	—
811	C₄×D₄	C₂³×C₈₃	1	2	yes	—
812	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
813	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
814	#117	—	2	1	no	—
815	#117	—	2	1	no	—
816	#117	—	2	2	no	—
817	#117	—	2	1	no	—
818	#117	—	2	1	no	—
819	#117	—	2	2	no	—
820	#117	—	2	1	no	—
821	#117	—	2	2	no	—
822	#117	—	2	2	no	—
823	#117	C₂³×C₈₃	1	1	yes	characteristic
824	C₂×C₄⋊C₄	—	2	1	no	—
825	C₂×C₄⋊C₄	—	2	1	no	—
826	C₂×C₄⋊C₄	D₄×C₈₃	1	1	yes	characteristic
827	C₂×C₄⋊C₄	D₄×C₈₃	1	2	yes	—
828	C₂×C₄²	—	2	2	no	—
829	C₂×C₄²	—	2	1	no	—
830	C₂×C₄²	C₂³×C₈₃	1	2	yes	—
831	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
832	#107	C₂³×C₈₃	1	1	yes	characteristic
833	#107	C₂³×C₈₃	1	2	yes	—
834	#107	C₂³×C₈₃	1	1	yes	characteristic
835	#106	C₂³×C₈₃	1	1	yes	characteristic
836	#106	C₂³×C₈₃	1	1	yes	characteristic
837	#106	C₂³×C₈₃	1	2	yes	—
838	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
839	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
840	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
841	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
842	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
843	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
844	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
845	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
846	#103	C₂³×C₈₃	1	2	yes	—
847	#103	C₂³×C₈₃	1	1	yes	characteristic
848	#103	C₂³×C₈₃	1	1	yes	characteristic
849	#103	C₂³×C₈₃	1	2	yes	—
850	#103	C₂³×C₈₃	1	2	yes	—
851	#103	C₂³×C₈₃	1	2	yes	—
852	#103	C₂³×C₈₃	1	2	yes	—
853	#103	C₂³×C₈₃	1	2	yes	—
854	#103	C₂³×C₈₃	1	2	yes	—
855	#102	C₂³×C₈₃	1	1	yes	characteristic
856	#102	C₂³×C₈₃	1	1	yes	characteristic
857	#102	C₂³×C₈₃	1	1	yes	characteristic
858	#102	C₂³×C₈₃	1	1	yes	characteristic
859	#102	C₂³×C₈₃	1	1	yes	characteristic
860	#102	C₂³×C₈₃	1	2	yes	—
861	#102	C₂³×C₈₃	1	1	yes	characteristic
862	#102	C₂³×C₈₃	1	2	yes	—
863	#102	C₂³×C₈₃	1	2	yes	—
864	#102	C₂³×C₈₃	1	2	yes	—
865	#102	C₂³×C₈₃	1	2	yes	—
866	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
867	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
868	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
869	#97	C₂³×C₈₃	1	2	yes	—
870	#97	C₂³×C₈₃	1	2	yes	—
871	#97	C₂³×C₈₃	1	2	yes	—
872	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
873	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
874	C₄×C₈	C₂³×C₈₃	1	2	yes	—
875	C₄×C₈	C₂³×C₈₃	1	2	yes	—
876	#41	—	4	1	no	—
877	#41	—	4	2	no	—
878	#41	—	4	2	no	—
879	#41	—	4	1	no	—
880	#41	—	4	4	no	—
881	#41	—	4	4	no	—
882	C₂×Q₈	—	2	1	no	—
883	C₂×Q₈	—	2	1	no	—
884	C₂×Q₈	—	4	2	no	—
885	C₂×Q₈	C₂×D₄×C₈₃	1	1	yes	characteristic
886	C₂×Q₈	C₂×D₄×C₈₃	1	1	yes	characteristic
887	C₂×Q₈	C₂×D₄×C₈₃	1	2	yes	—
888	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
889	C₂×Q₈	C₂⁴×C₈₃	1	2	yes	—
890	C₂×Q₈	C₂⁴×C₈₃	1	2	yes	—
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	2	2	no	—
893	C₂×D₄	—	2	1	no	—
894	C₂×D₄	—	2	1	no	—
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	1	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
902	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
903	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
904	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
916	C₂²×C₄	C₂×D₄×C₈₃	1	2	yes	—
917	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
918	C₂²×C₄	C₂×D₄×C₈₃	1	2	yes	—
919	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
920	Q₁₆	—	4	2	no	—
921	Q₁₆	—	4	2	no	—
922	Q₁₆	—	4	2	no	—
923	SD₁₆	—	4	2	no	—
924	SD₁₆	—	4	2	no	—
925	SD₁₆	—	4	2	no	—
926	SD₁₆	—	4	2	no	—
927	SD₁₆	—	4	2	no	—
928	SD₁₆	—	4	1	no	—
929	SD₁₆	—	4	1	no	—
930	D₈	—	4	2	no	—
931	D₈	—	4	1	no	—
932	D₈	—	4	2	no	—
933	D₈	—	4	1	no	—
934	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
935	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
936	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
938	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
939	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
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	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	1	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	C₂×D₄×C₈₃	1	1	yes	characteristic
961	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
962	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
963	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
964	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
965	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
966	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
967	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
968	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
970	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	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	1	no	—
983	C₂²⋊C₄	—	2	1	no	—
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	1	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	2	no	—
996	C₄²	—	2	1	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	2	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	2	no	—
1002	C₄²	C₂×D₄×C₈₃	1	2	yes	—
1003	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
1004	C₄²	C₂×D₄×C₈₃	1	2	yes	—
1005	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
1006	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1007	C₄²	C₂⁴×C₈₃	1	2	yes	—
1008	C₄²	C₂⁴×C₈₃	1	2	yes	—
1009	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1010	C₂³	—	2	1	no	—
1011	C₂³	—	2	1	no	—
1012	C₂³	—	2	2	no	—
1013	C₂³	—	2	1	no	—
1014	C₂³	C₂²×D₄×C₈₃	1	1	yes	characteristic
1015	Q₈	—	2	2	no	—
1016	Q₈	—	2	2	no	—
1017	Q₈	—	2	2	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	2	2	no	—
1020	Q₈	—	2	2	no	—
1021	Q₈	—	2	2	no	—
1022	Q₈	—	2	1	no	—
1023	Q₈	—	4	2	no	—
1024	Q₈	—	4	2	no	—
1025	Q₈	—	8	1	no	—
1026	D₄	—	2	1	no	—
1027	D₄	—	2	1	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	2	1	no	—
1030	D₄	—	2	2	no	—
1031	D₄	—	2	2	no	—
1032	D₄	—	2	1	no	—
1033	D₄	—	2	1	no	—
1034	D₄	—	4	2	no	—
1035	D₄	—	4	4	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	4	2	no	—
1038	D₄	—	4	2	no	—
1039	D₄	—	4	4	no	—
1040	D₄	—	4	2	no	—
1041	D₄	—	8	1	no	—
1042	D₄	—	8	2	no	—
1043	D₄	—	8	1	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	4	2	no	—
1056	C₂×C₄	—	4	2	no	—
1057	C₂×C₄	—	4	1	no	—
1058	C₂×C₄	—	4	4	no	—
1059	C₂×C₄	—	4	2	no	—
1060	C₂×C₄	—	4	4	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	4	2	no	—
1063	C₂×C₄	—	4	2	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	—	8	2	no	—
1066	C₂×C₄	—	8	1	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1069	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1070	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1071	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1072	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1073	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1074	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1075	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1076	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1077	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1078	C₈	—	2	2	no	—
1079	C₈	—	2	1	no	—
1080	C₈	—	2	2	no	—
1081	C₈	—	2	1	no	—
1082	C₈	—	2	1	no	—
1083	C₈	—	2	1	no	—
1084	C₂²	—	2	1	no	—
1085	C₂²	—	2	1	no	—
1086	C₂²	—	2	1	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	—	4	1	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	1	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	C₂³×D₄×C₈₃	1	1	yes	characteristic
1100	C₄	—	2	1	no	—
1101	C₄	—	2	2	no	—
1102	C₄	—	2	2	no	—
1103	C₄	—	2	2	no	—
1104	C₄	—	2	2	no	—
1105	C₄	—	2	1	no	—
1106	C₄	—	2	1	no	—
1107	C₄	—	2	1	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	2	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	2	no	—
1115	C₄	—	4	2	no	—
1116	C₄	#575×C₈₃	1	2	yes	—
1117	C₄	#585×C₈₃	1	1	yes	characteristic
1118	C₄	#585×C₈₃	1	1	yes	characteristic
1119	C₂	—	4	1	no	—
1120	C₂	—	8	1	no	—
1121	C₂	—	8	1	no	—
1122	C₂	—	8	2	no	—
1123	C₂	—	8	1	no	—
1124	C₂	C₈₃×#3487	1	1	yes	characteristic
1125	C₂	C₂×#575×C₈₃	1	1	yes	characteristic
1126	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 ◁ C₂×C₄×Q₈×C₈₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₃×#3507	C₂	semidirect
2. C₈₃×#3480	C₂	semidirect
3. C₈₃×#3403	C₂	semidirect
4. C₈₃×#3401	C₂	semidirect
5. C₈₃×#3398	C₂	semidirect
6. C₈₃×#3397	C₂	semidirect
7. C₈₃×#3394	C₂	semidirect
8. C₈₃×#3393	C₂	semidirect
9. C₈₃×#3377	C₂	semidirect
10. C₈₃×#3372	C₂	semidirect
11. C₈₃×#3371	C₂	semidirect
12. C₈₃×#3366	C₂	semidirect
13. C₈₃×#3361	C₂	semidirect
14. C₈₃×#3360	C₂	semidirect
15. C₈₃×#3219	C₂	semidirect
16. C₈₃×#3214	C₂	semidirect
17. C₈₃×#3212	C₂	semidirect
18. C₈₃×#3210	C₂	semidirect
19. C₈₃×#3116	C₂	semidirect
20. C₈₃×#3111	C₂	semidirect
21. C₈₃×#3106	C₂	semidirect
22. C₈₃×#3102	C₂	semidirect
23. C₈₃×#2984	C₂	semidirect
555. #61902	C₈₃	direct (N × H)
564. #3507	C₂×C₈₃	semidirect
565. #3480	C₂×C₈₃	semidirect
566. #3403	C₂×C₈₃	semidirect
567. #3401	C₂×C₈₃	semidirect
568. #3398	C₂×C₈₃	semidirect
569. #3397	C₂×C₈₃	semidirect
570. #3394	C₂×C₈₃	semidirect
571. #3393	C₂×C₈₃	semidirect
572. #3377	C₂×C₈₃	semidirect
573. #3372	C₂×C₈₃	semidirect
574. #3371	C₂×C₈₃	semidirect
575. #3366	C₂×C₈₃	semidirect
576. #3361	C₂×C₈₃	semidirect
577. #3360	C₂×C₈₃	semidirect
578. #3219	C₂×C₈₃	semidirect
579. #3214	C₂×C₈₃	semidirect
580. #3212	C₂×C₈₃	semidirect
581. #3210	C₂×C₈₃	semidirect
582. #3116	C₂×C₈₃	semidirect
583. #3111	C₂×C₈₃	semidirect
584. #3106	C₂×C₈₃	semidirect
585. #3102	C₂×C₈₃	semidirect
586. #2984	C₂×C₈₃	semidirect
587. C₈₃	#61902	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×#3507	2
C₈₃×#3480	2
C₈₃×#3403	2
C₈₃×#3401	2
C₈₃×#3398	2
C₈₃×#3397	2
C₈₃×#3394	2
C₈₃×#3393	2
C₈₃×#3377	2
C₈₃×#3372	2
C₈₃×#3371	2
C₈₃×#3366	2
C₈₃×#3361	2
C₈₃×#3360	2
C₈₃×#3219	2
C₈₃×#3214	2
C₈₃×#3212	2
C₈₃×#3210	2
C₈₃×#3116	2
C₈₃×#3111	2
C₈₃×#3106	2
C₈₃×#3102	2
C₈₃×#2984	2
#61902	83

Subgroups — C83×#61902 #35289726

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#61902 #35289726