Subgroups — C₈₃×#61816 #35289640

Order 21248.

1724 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×#3547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₃×#3357	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₃×#3357	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₃×#3349	C₂	1	2	yes	maximal, complemented
6	C₈₃×#3343	C₂	1	2	yes	maximal, complemented
7	C₈₃×#3341	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₃×#3338	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₃×#3331	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₃×#3329	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₃×#3313	C₂	1	2	yes	maximal, complemented
12	C₈₃×#3308	C₂	1	2	yes	maximal, complemented
13	C₈₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₃×#3230	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₃×#3203	C₂	1	2	yes	maximal, complemented
18	C₈₃×#3201	C₂	1	2	yes	maximal, complemented
19	C₈₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₃×#3098	C₂	1	2	yes	maximal, complemented
22	C₈₃×#3097	C₂	1	2	yes	maximal, complemented
23	C₈₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
24	#562×C₈₃	—	2	2	no	—
25	#556×C₈₃	C₂²	1	2	yes	—
26	#555×C₈₃	—	2	1	no	—
27	#555×C₈₃	C₂²	1	1	yes	characteristic
28	#555×C₈₃	C₂²	1	1	yes	characteristic
29	#555×C₈₃	C₂²	1	1	yes	characteristic
30	#554×C₈₃	C₂²	1	1	yes	characteristic
31	#554×C₈₃	C₂²	1	1	yes	characteristic
32	#554×C₈₃	C₂²	1	1	yes	characteristic
33	#553×C₈₃	—	2	1	no	—
34	#553×C₈₃	—	2	1	no	—
35	#553×C₈₃	—	2	1	no	—
36	#552×C₈₃	C₂²	1	2	yes	—
37	D₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic
38	#548×C₈₃	—	2	2	no	—
39	#548×C₈₃	C₂²	1	2	yes	—
40	#547×C₈₃	C₂²	1	1	yes	characteristic
41	#547×C₈₃	C₂²	1	2	yes	—
42	#544×C₈₃	—	2	1	no	—
43	#542×C₈₃	—	2	2	no	—
44	#542×C₈₃	—	2	2	no	—
45	#540×C₈₃	—	2	1	no	—
46	#537×C₈₃	C₂²	1	2	yes	—
47	#537×C₈₃	C₂²	1	2	yes	—
48	#536×C₈₃	C₂²	1	2	yes	—
49	#533×C₈₃	—	2	1	no	—
50	#533×C₈₃	C₂²	1	1	yes	characteristic
51	#532×C₈₃	—	2	1	no	—
52	#532×C₈₃	C₂²	1	1	yes	characteristic
53	C₂×C₄⋊Q₈×C₈₃	C₂²	1	1	yes	characteristic
54	#529×C₈₃	C₂²	1	1	yes	characteristic
55	#520×C₈₃	C₂²	1	2	yes	—
56	C₄×#41×C₈₃	C₂²	1	1	yes	characteristic
57	#501×C₈₃	C₂²	1	2	yes	—
58	#500×C₈₃	C₂²	1	1	yes	characteristic
59	#500×C₈₃	C₂²	1	1	yes	characteristic
60	#489×C₈₃	C₂²	1	2	yes	—
61	#487×C₈₃	C₂²	1	1	yes	characteristic
62	#487×C₈₃	C₂²	1	1	yes	characteristic
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	—
67	#485×C₈₃	C₂²	1	1	yes	characteristic
68	#485×C₈₃	C₂²	1	2	yes	—
69	#484×C₈₃	C₂²	1	2	yes	—
70	#484×C₈₃	C₂²	1	2	yes	—
71	#484×C₈₃	C₂²	1	2	yes	—
72	#484×C₈₃	C₂²	1	2	yes	—
73	#484×C₈₃	C₂²	1	2	yes	—
74	#483×C₈₃	C₂²	1	2	yes	—
75	#483×C₈₃	C₂²	1	2	yes	—
76	#482×C₈₃	C₂²	1	2	yes	—
77	#482×C₈₃	C₂²	1	2	yes	—
78	#482×C₈₃	C₂²	1	1	yes	characteristic
79	#480×C₈₃	C₂²	1	2	yes	—
80	#480×C₈₃	C₂²	1	2	yes	—
81	#480×C₈₃	C₂²	1	2	yes	—
82	#479×C₈₃	C₂²	1	1	yes	characteristic
83	#478×C₈₃	C₂²	1	1	yes	characteristic
84	#477×C₈₃	C₂²	1	1	yes	characteristic
85	#477×C₈₃	C₂²	1	2	yes	—
86	#477×C₈₃	C₂²	1	2	yes	—
87	#477×C₈₃	C₂²	1	1	yes	characteristic
88	#477×C₈₃	C₂²	1	1	yes	characteristic
89	#476×C₈₃	C₂²	1	1	yes	characteristic
90	#476×C₈₃	C₂²	1	1	yes	characteristic
91	#476×C₈₃	C₂²	1	1	yes	characteristic
92	#470×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	#467×C₈₃	C₂²	1	2	yes	—
97	#467×C₈₃	C₂²	1	2	yes	—
98	#466×C₈₃	C₂²	1	2	yes	—
99	#465×C₈₃	C₂²	1	2	yes	—
100	#464×C₈₃	C₂²	1	1	yes	characteristic
101	#463×C₈₃	C₂²	1	1	yes	characteristic
102	#462×C₈₃	C₂²	1	1	yes	characteristic
103	#461×C₈₃	C₂²	1	1	yes	characteristic
104	#452×C₈₃	C₂²	1	2	yes	—
105	#452×C₈₃	C₂²	1	1	yes	characteristic
106	#452×C₈₃	C₂²	1	2	yes	—
107	#451×C₈₃	C₂²	1	2	yes	—
108	#449×C₈₃	C₂²	1	2	yes	—
109	#449×C₈₃	C₂²	1	1	yes	characteristic
110	#448×C₈₃	C₂²	1	2	yes	—
111	#441×C₈₃	C₂²	1	2	yes	—
112	#440×C₈₃	C₂²	1	2	yes	—
113	C₄×Q₁₆×C₈₃	C₂²	1	1	yes	characteristic
114	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
115	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
116	C₄×D₈×C₈₃	C₂²	1	1	yes	characteristic
117	#436×C₈₃	C₂²	1	1	yes	characteristic
118	#436×C₈₃	C₂²	1	1	yes	characteristic
119	#435×C₈₃	C₂²	1	2	yes	—
120	#435×C₈₃	C₂²	1	2	yes	—
121	C₈×D₄×C₈₃	C₂²	1	1	yes	characteristic
122	C₈×D₄×C₈₃	C₂²	1	1	yes	characteristic
123	#432×C₈₃	C₂²	1	1	yes	characteristic
124	#431×C₈₃	C₂²	1	1	yes	characteristic
125	#428×C₈₃	C₂²	1	2	yes	—
126	#428×C₈₃	C₂²	1	2	yes	—
127	#427×C₈₃	C₂²	1	2	yes	—
128	C₂×#107×C₈₃	C₂²	1	2	yes	—
129	#419×C₈₃	C₂²	1	2	yes	—
130	#417×C₈₃	C₂²	1	2	yes	—
131	#416×C₈₃	C₂²	1	2	yes	—
132	C₂×#103×C₈₃	C₂²	1	2	yes	—
133	#408×C₈₃	C₂²	1	2	yes	—
134	#408×C₈₃	C₂²	1	2	yes	—
135	C₂×#41×C₈₃	—	2	2	no	—
136	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
137	C₂×#41×C₈₃	C₂³	1	2	yes	—
138	C₂×#41×C₈₃	C₂³	1	2	yes	—
139	C₂²×Q₈×C₈₃	—	2	1	no	—
140	C₂²×Q₈×C₈₃	C₂³	1	2	yes	—
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	1	yes	characteristic
145	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
146	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
147	C₂×M₁₆×C₈₃	C₂³	1	2	yes	—
148	C₂×M₁₆×C₈₃	C₂³	1	2	yes	—
149	C₂²×C₈×C₈₃	C₂³	1	2	yes	—
150	C₂²×C₈×C₈₃	C₂³	1	2	yes	—
151	C₄⋊Q₈×C₈₃	—	2	2	no	—
152	C₄⋊Q₈×C₈₃	—	2	1	no	—
153	C₄⋊Q₈×C₈₃	—	2	1	no	—
154	C₄⋊Q₈×C₈₃	—	2	1	no	—
155	C₄⋊Q₈×C₈₃	D₄	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	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
160	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
161	#127×C₈₃	D₄	1	1	yes	characteristic
162	#126×C₈₃	—	2	2	no	—
163	#126×C₈₃	—	2	2	no	—
164	#126×C₈₃	—	2	2	no	—
165	#126×C₈₃	—	2	1	no	—
166	#125×C₈₃	—	2	1	no	—
167	#125×C₈₃	—	2	1	no	—
168	#125×C₈₃	—	2	2	no	—
169	#125×C₈₃	—	2	1	no	—
170	#125×C₈₃	—	2	1	no	—
171	#125×C₈₃	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
177	#124×C₈₃	—	2	2	no	—
178	#124×C₈₃	D₄	1	2	yes	—
179	#124×C₈₃	C₂³	1	1	yes	characteristic
180	#123×C₈₃	—	2	2	no	—
181	#123×C₈₃	—	2	2	no	—
182	#123×C₈₃	—	2	2	no	—
183	#123×C₈₃	—	2	1	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	2	no	—
189	C₂²⋊Q₈×C₈₃	—	2	1	no	—
190	C₂²⋊Q₈×C₈₃	—	2	2	no	—
191	C₂²⋊Q₈×C₈₃	—	2	2	no	—
192	C₂²⋊Q₈×C₈₃	—	2	2	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	2	yes	—
201	C₂²⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
202	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
203	#121×C₈₃	—	2	2	no	—
204	#121×C₈₃	—	2	1	no	—
205	#121×C₈₃	—	2	1	no	—
206	#121×C₈₃	—	2	2	no	—
207	#121×C₈₃	—	2	2	no	—
208	#121×C₈₃	—	2	2	no	—
209	#121×C₈₃	—	2	2	no	—
210	#121×C₈₃	—	2	2	no	—
211	#121×C₈₃	—	2	1	no	—
212	#121×C₈₃	—	2	2	no	—
213	#121×C₈₃	—	2	1	no	—
214	#121×C₈₃	D₄	1	2	yes	—
215	#121×C₈₃	D₄	1	1	yes	characteristic
216	#121×C₈₃	D₄	1	1	yes	characteristic
217	#121×C₈₃	C₂³	1	2	yes	—
218	#121×C₈₃	C₂³	1	2	yes	—
219	#121×C₈₃	C₂³	1	2	yes	—
220	#121×C₈₃	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₈₃	—	2	2	no	—
222	C₄×Q₈×C₈₃	—	2	2	no	—
223	C₄×Q₈×C₈₃	—	2	1	no	—
224	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
227	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
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	1	no	—
235	C₄×D₄×C₈₃	—	2	1	no	—
236	C₄×D₄×C₈₃	—	2	1	no	—
237	C₄×D₄×C₈₃	—	2	1	no	—
238	C₄×D₄×C₈₃	—	2	2	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	2	yes	—
243	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
245	#117×C₈₃	—	2	1	no	—
246	#117×C₈₃	—	2	1	no	—
247	#117×C₈₃	—	2	1	no	—
248	#117×C₈₃	—	2	1	no	—
249	#117×C₈₃	—	2	2	no	—
250	#117×C₈₃	—	2	1	no	—
251	#117×C₈₃	—	2	1	no	—
252	#117×C₈₃	C₂³	1	1	yes	characteristic
253	#117×C₈₃	C₂³	1	2	yes	—
254	#117×C₈₃	C₂³	1	2	yes	—
255	#117×C₈₃	C₂³	1	2	yes	—
256	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
257	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
258	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
259	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
260	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
261	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
262	C₂×C₄²×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	2	yes	—
269	#107×C₈₃	C₂³	1	2	yes	—
270	#107×C₈₃	C₂³	1	2	yes	—
271	#107×C₈₃	C₂³	1	1	yes	characteristic
272	#107×C₈₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
292	#103×C₈₃	C₂³	1	2	yes	—
293	#103×C₈₃	C₂³	1	2	yes	—
294	#103×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	2	yes	—
303	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
305	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
307	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
308	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
309	#97×C₈₃	C₂³	1	2	yes	—
310	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
312	#41×C₈₃	—	4	2	no	—
313	#41×C₈₃	—	4	2	no	—
314	#41×C₈₃	—	4	1	no	—
315	#41×C₈₃	—	4	1	no	—
316	#41×C₈₃	—	4	2	no	—
317	#41×C₈₃	—	4	2	no	—
318	#41×C₈₃	—	8	4	no	—
319	C₂×Q₈×C₈₃	—	2	2	no	—
320	C₂×Q₈×C₈₃	—	2	1	no	—
321	C₂×Q₈×C₈₃	—	2	2	no	—
322	C₂×Q₈×C₈₃	—	2	1	no	—
323	C₂×Q₈×C₈₃	—	2	1	no	—
324	C₂×Q₈×C₈₃	—	4	2	no	—
325	C₂×Q₈×C₈₃	—	4	2	no	—
326	C₂×Q₈×C₈₃	—	8	2	no	—
327	C₂×Q₈×C₈₃	C₂×D₄	1	2	yes	—
328	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₈₃	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₈₃	—	2	1	no	—
332	C₂×D₄×C₈₃	—	2	1	no	—
333	C₂×D₄×C₈₃	—	2	2	no	—
334	C₂×D₄×C₈₃	—	2	2	no	—
335	C₂×D₄×C₈₃	—	2	2	no	—
336	C₂×D₄×C₈₃	—	2	2	no	—
337	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
339	C₂×D₄×C₈₃	C₂×D₄	1	2	yes	—
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	C₂⁴	1	1	yes	characteristic
344	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
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	1	no	—
351	C₂²×C₄×C₈₃	—	2	1	no	—
352	C₂²×C₄×C₈₃	—	2	1	no	—
353	C₂²×C₄×C₈₃	—	2	1	no	—
354	C₂²×C₄×C₈₃	—	2	2	no	—
355	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
359	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
360	Q₁₆×C₈₃	—	4	1	no	—
361	Q₁₆×C₈₃	—	4	2	no	—
362	SD₁₆×C₈₃	—	4	2	no	—
363	SD₁₆×C₈₃	—	4	1	no	—
364	SD₁₆×C₈₃	—	4	1	no	—
365	D₈×C₈₃	—	4	1	no	—
366	M₁₆×C₈₃	—	4	2	no	—
367	M₁₆×C₈₃	—	4	2	no	—
368	C₂×C₈×C₈₃	—	4	2	no	—
369	C₂×C₈×C₈₃	—	4	2	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	1	yes	characteristic
374	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
375	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
376	C₄⋊C₄×C₈₃	—	2	1	no	—
377	C₄⋊C₄×C₈₃	—	2	1	no	—
378	C₄⋊C₄×C₈₃	—	2	1	no	—
379	C₄⋊C₄×C₈₃	—	2	2	no	—
380	C₄⋊C₄×C₈₃	—	2	2	no	—
381	C₄⋊C₄×C₈₃	—	2	2	no	—
382	C₄⋊C₄×C₈₃	—	2	2	no	—
383	C₄⋊C₄×C₈₃	—	2	2	no	—
384	C₄⋊C₄×C₈₃	—	2	2	no	—
385	C₄⋊C₄×C₈₃	—	2	1	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	2	no	—
398	C₄⋊C₄×C₈₃	—	2	1	no	—
399	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
400	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
403	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
405	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
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	C₂²⋊C₄×C₈₃	—	2	2	no	—
410	C₂²⋊C₄×C₈₃	—	2	2	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	2	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	1	no	—
424	C₂²⋊C₄×C₈₃	—	2	2	no	—
425	C₂²⋊C₄×C₈₃	—	2	2	no	—
426	C₂²⋊C₄×C₈₃	—	2	2	no	—
427	C₂²⋊C₄×C₈₃	—	2	1	no	—
428	C₂²⋊C₄×C₈₃	—	2	1	no	—
429	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
430	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
431	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
432	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
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	2	no	—
439	C₄²×C₈₃	—	2	2	no	—
440	C₄²×C₈₃	—	2	1	no	—
441	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
444	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
445	C₂³×C₈₃	—	2	1	no	—
446	C₂³×C₈₃	—	2	1	no	—
447	C₂³×C₈₃	C₂²×D₄	1	2	yes	—
448	C₂³×C₈₃	C₂²×D₄	1	2	yes	—
449	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
450	Q₈×C₈₃	—	2	1	no	—
451	Q₈×C₈₃	—	2	1	no	—
452	Q₈×C₈₃	—	2	2	no	—
453	Q₈×C₈₃	—	2	1	no	—
454	Q₈×C₈₃	—	2	1	no	—
455	Q₈×C₈₃	—	2	2	no	—
456	Q₈×C₈₃	—	4	2	no	—
457	Q₈×C₈₃	—	4	4	no	—
458	Q₈×C₈₃	—	8	1	no	—
459	Q₈×C₈₃	—	8	2	no	—
460	Q₈×C₈₃	—	8	1	no	—
461	Q₈×C₈₃	—	8	1	no	—
462	D₄×C₈₃	—	2	2	no	—
463	D₄×C₈₃	—	2	2	no	—
464	D₄×C₈₃	—	2	1	no	—
465	D₄×C₈₃	—	2	1	no	—
466	D₄×C₈₃	—	2	1	no	—
467	D₄×C₈₃	—	2	1	no	—
468	D₄×C₈₃	—	4	2	no	—
469	D₄×C₈₃	—	4	2	no	—
470	D₄×C₈₃	—	4	2	no	—
471	D₄×C₈₃	—	4	2	no	—
472	D₄×C₈₃	—	4	2	no	—
473	D₄×C₈₃	—	8	1	no	—
474	D₄×C₈₃	—	8	2	no	—
475	D₄×C₈₃	—	8	2	no	—
476	D₄×C₈₃	—	8	2	no	—
477	D₄×C₈₃	—	8	2	no	—
478	C₂×C₄×C₈₃	—	2	2	no	—
479	C₂×C₄×C₈₃	—	2	2	no	—
480	C₂×C₄×C₈₃	—	2	2	no	—
481	C₂×C₄×C₈₃	—	2	2	no	—
482	C₂×C₄×C₈₃	—	2	2	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	1	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	1	no	—
492	C₂×C₄×C₈₃	—	2	2	no	—
493	C₂×C₄×C₈₃	—	2	2	no	—
494	C₂×C₄×C₈₃	—	2	2	no	—
495	C₂×C₄×C₈₃	—	4	1	no	—
496	C₂×C₄×C₈₃	—	4	2	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	2	no	—
503	C₂×C₄×C₈₃	—	8	2	no	—
504	C₂×C₄×C₈₃	—	8	2	no	—
505	C₂×C₄×C₈₃	—	8	2	no	—
506	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
508	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
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	1	no	—
515	C₈×C₈₃	—	2	1	no	—
516	C₈×C₈₃	—	2	2	no	—
517	C₈×C₈₃	—	2	2	no	—
518	C₈×C₈₃	—	2	1	no	—
519	C₈×C₈₃	—	2	1	no	—
520	C₂²×C₈₃	—	2	1	no	—
521	C₂²×C₈₃	—	2	2	no	—
522	C₂²×C₈₃	—	2	2	no	—
523	C₂²×C₈₃	—	2	2	no	—
524	C₂²×C₈₃	—	2	1	no	—
525	C₂²×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	—	4	1	no	—
530	C₂²×C₈₃	—	4	1	no	—
531	C₂²×C₈₃	—	4	1	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	1	no	—
537	C₄×C₈₃	—	2	1	no	—
538	C₄×C₈₃	—	2	1	no	—
539	C₄×C₈₃	—	2	2	no	—
540	C₄×C₈₃	—	2	2	no	—
541	C₄×C₈₃	—	2	1	no	—
542	C₄×C₈₃	—	4	1	no	—
543	C₄×C₈₃	—	4	1	no	—
544	C₄×C₈₃	—	4	2	no	—
545	C₄×C₈₃	—	4	2	no	—
546	C₄×C₈₃	—	4	2	no	—
547	C₄×C₈₃	—	4	1	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	#578	1	2	yes	—
553	C₄×C₈₃	#585	1	1	yes	characteristic
554	C₄×C₈₃	#585	1	1	yes	characteristic
555	#61816	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
556	C₂×C₈₃	—	4	1	no	—
557	C₂×C₈₃	—	4	2	no	—
558	C₂×C₈₃	—	4	2	no	—
559	C₂×C₈₃	—	8	1	no	—
560	C₂×C₈₃	—	8	1	no	—
561	C₂×C₈₃	#3485	1	1	yes	characteristic
562	C₂×C₈₃	C₂×#578	1	1	yes	characteristic
563	C₂×C₈₃	#3585	1	1	yes	characteristic
564	#3547	C₂×C₈₃	1	1	yes	characteristic, complemented
565	#3511	C₂×C₈₃	1	1	yes	characteristic, complemented
566	#3357	C₂×C₈₃	1	1	yes	characteristic, complemented
567	#3357	C₂×C₈₃	1	1	yes	characteristic, complemented
568	#3349	C₂×C₈₃	1	2	yes	complemented
569	#3343	C₂×C₈₃	1	2	yes	complemented
570	#3341	C₂×C₈₃	1	1	yes	characteristic, complemented
571	#3338	C₂×C₈₃	1	1	yes	characteristic, complemented
572	#3331	C₂×C₈₃	1	1	yes	characteristic, complemented
573	#3329	C₂×C₈₃	1	1	yes	characteristic, complemented
574	#3313	C₂×C₈₃	1	2	yes	complemented
575	#3308	C₂×C₈₃	1	2	yes	complemented
576	#3303	C₂×C₈₃	1	1	yes	characteristic, complemented
577	#3299	C₂×C₈₃	1	1	yes	characteristic, complemented
578	#3238	C₂×C₈₃	1	1	yes	characteristic, complemented
579	#3230	C₂×C₈₃	1	1	yes	characteristic, complemented
580	#3203	C₂×C₈₃	1	2	yes	complemented
581	#3201	C₂×C₈₃	1	2	yes	complemented
582	#3116	C₂×C₈₃	1	1	yes	characteristic, complemented
583	#3102	C₂×C₈₃	1	1	yes	characteristic, complemented
584	#3098	C₂×C₈₃	1	2	yes	complemented
585	#3097	C₂×C₈₃	1	2	yes	complemented
586	#2981	C₂×C₈₃	1	1	yes	characteristic, complemented
587	C₈₃	#61816	1	1	yes	characteristic, direct product factor, Sylow
588	#562	—	2	2	no	—
589	#556	C₂²×C₈₃	1	2	yes	—
590	#555	—	2	1	no	—
591	#555	C₂²×C₈₃	1	1	yes	characteristic
592	#555	C₂²×C₈₃	1	1	yes	characteristic
593	#555	C₂²×C₈₃	1	1	yes	characteristic
594	#554	C₂²×C₈₃	1	1	yes	characteristic
595	#554	C₂²×C₈₃	1	1	yes	characteristic
596	#554	C₂²×C₈₃	1	1	yes	characteristic
597	#553	—	2	1	no	—
598	#553	—	2	1	no	—
599	#553	—	2	1	no	—
600	#552	C₂²×C₈₃	1	2	yes	—
601	D₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic
602	#548	—	2	2	no	—
603	#548	C₂²×C₈₃	1	2	yes	—
604	#547	C₂²×C₈₃	1	1	yes	characteristic
605	#547	C₂²×C₈₃	1	2	yes	—
606	#544	—	2	1	no	—
607	#542	—	2	2	no	—
608	#542	—	2	2	no	—
609	#540	—	2	1	no	—
610	#537	C₂²×C₈₃	1	2	yes	—
611	#537	C₂²×C₈₃	1	2	yes	—
612	#536	C₂²×C₈₃	1	2	yes	—
613	#533	—	2	1	no	—
614	#533	C₂²×C₈₃	1	1	yes	characteristic
615	#532	—	2	1	no	—
616	#532	C₂²×C₈₃	1	1	yes	characteristic
617	C₂×C₄⋊Q₈	C₂²×C₈₃	1	1	yes	characteristic
618	#529	C₂²×C₈₃	1	1	yes	characteristic
619	#520	C₂²×C₈₃	1	2	yes	—
620	C₄×#41	C₂²×C₈₃	1	1	yes	characteristic
621	#501	C₂²×C₈₃	1	2	yes	—
622	#500	C₂²×C₈₃	1	1	yes	characteristic
623	#500	C₂²×C₈₃	1	1	yes	characteristic
624	#489	C₂²×C₈₃	1	2	yes	—
625	#487	C₂²×C₈₃	1	1	yes	characteristic
626	#487	C₂²×C₈₃	1	1	yes	characteristic
627	#485	C₂²×C₈₃	1	2	yes	—
628	#485	C₂²×C₈₃	1	2	yes	—
629	#485	C₂²×C₈₃	1	2	yes	—
630	#485	C₂²×C₈₃	1	1	yes	characteristic
631	#485	C₂²×C₈₃	1	2	yes	—
632	#485	C₂²×C₈₃	1	2	yes	—
633	#484	C₂²×C₈₃	1	2	yes	—
634	#484	C₂²×C₈₃	1	2	yes	—
635	#484	C₂²×C₈₃	1	2	yes	—
636	#484	C₂²×C₈₃	1	2	yes	—
637	#484	C₂²×C₈₃	1	2	yes	—
638	#483	C₂²×C₈₃	1	2	yes	—
639	#483	C₂²×C₈₃	1	2	yes	—
640	#482	C₂²×C₈₃	1	2	yes	—
641	#482	C₂²×C₈₃	1	2	yes	—
642	#482	C₂²×C₈₃	1	1	yes	characteristic
643	#480	C₂²×C₈₃	1	2	yes	—
644	#480	C₂²×C₈₃	1	2	yes	—
645	#480	C₂²×C₈₃	1	2	yes	—
646	#479	C₂²×C₈₃	1	1	yes	characteristic
647	#478	C₂²×C₈₃	1	1	yes	characteristic
648	#477	C₂²×C₈₃	1	1	yes	characteristic
649	#477	C₂²×C₈₃	1	1	yes	characteristic
650	#477	C₂²×C₈₃	1	2	yes	—
651	#477	C₂²×C₈₃	1	2	yes	—
652	#477	C₂²×C₈₃	1	1	yes	characteristic
653	#476	C₂²×C₈₃	1	1	yes	characteristic
654	#476	C₂²×C₈₃	1	1	yes	characteristic
655	#476	C₂²×C₈₃	1	1	yes	characteristic
656	#470	C₂²×C₈₃	1	2	yes	—
657	#468	C₂²×C₈₃	1	2	yes	—
658	#468	C₂²×C₈₃	1	2	yes	—
659	#468	C₂²×C₈₃	1	2	yes	—
660	#467	C₂²×C₈₃	1	2	yes	—
661	#467	C₂²×C₈₃	1	2	yes	—
662	#466	C₂²×C₈₃	1	2	yes	—
663	#465	C₂²×C₈₃	1	2	yes	—
664	#464	C₂²×C₈₃	1	1	yes	characteristic
665	#463	C₂²×C₈₃	1	1	yes	characteristic
666	#462	C₂²×C₈₃	1	1	yes	characteristic
667	#461	C₂²×C₈₃	1	1	yes	characteristic
668	#452	C₂²×C₈₃	1	2	yes	—
669	#452	C₂²×C₈₃	1	1	yes	characteristic
670	#452	C₂²×C₈₃	1	2	yes	—
671	#451	C₂²×C₈₃	1	2	yes	—
672	#449	C₂²×C₈₃	1	1	yes	characteristic
673	#449	C₂²×C₈₃	1	2	yes	—
674	#448	C₂²×C₈₃	1	2	yes	—
675	#441	C₂²×C₈₃	1	2	yes	—
676	#440	C₂²×C₈₃	1	2	yes	—
677	C₄×Q₁₆	C₂²×C₈₃	1	1	yes	characteristic
678	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
679	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
680	C₄×D₈	C₂²×C₈₃	1	1	yes	characteristic
681	#436	C₂²×C₈₃	1	1	yes	characteristic
682	#436	C₂²×C₈₃	1	1	yes	characteristic
683	#435	C₂²×C₈₃	1	2	yes	—
684	#435	C₂²×C₈₃	1	2	yes	—
685	C₈×D₄	C₂²×C₈₃	1	1	yes	characteristic
686	C₈×D₄	C₂²×C₈₃	1	1	yes	characteristic
687	#432	C₂²×C₈₃	1	1	yes	characteristic
688	#431	C₂²×C₈₃	1	1	yes	characteristic
689	#428	C₂²×C₈₃	1	2	yes	—
690	#428	C₂²×C₈₃	1	2	yes	—
691	#427	C₂²×C₈₃	1	2	yes	—
692	C₂×#107	C₂²×C₈₃	1	2	yes	—
693	#419	C₂²×C₈₃	1	2	yes	—
694	#417	C₂²×C₈₃	1	2	yes	—
695	#416	C₂²×C₈₃	1	2	yes	—
696	C₂×#103	C₂²×C₈₃	1	2	yes	—
697	#408	C₂²×C₈₃	1	2	yes	—
698	#408	C₂²×C₈₃	1	2	yes	—
699	C₂×#41	—	2	2	no	—
700	C₂×#41	C₂³×C₈₃	1	1	yes	characteristic
701	C₂×#41	C₂³×C₈₃	1	2	yes	—
702	C₂×#41	C₂³×C₈₃	1	2	yes	—
703	C₂²×Q₈	—	2	1	no	—
704	C₂²×Q₈	C₂³×C₈₃	1	2	yes	—
705	C₂×Q₁₆	C₂³×C₈₃	1	1	yes	characteristic
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×D₈	C₂³×C₈₃	1	1	yes	characteristic
711	C₂×M₁₆	C₂³×C₈₃	1	2	yes	—
712	C₂×M₁₆	C₂³×C₈₃	1	2	yes	—
713	C₂²×C₈	C₂³×C₈₃	1	2	yes	—
714	C₂²×C₈	C₂³×C₈₃	1	2	yes	—
715	C₄⋊Q₈	—	2	2	no	—
716	C₄⋊Q₈	—	2	1	no	—
717	C₄⋊Q₈	—	2	1	no	—
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
722	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
723	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
724	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
725	#127	D₄×C₈₃	1	1	yes	characteristic
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	1	no	—
734	#125	—	2	1	no	—
735	#125	C₂³×C₈₃	1	1	yes	characteristic
736	#124	—	2	2	no	—
737	#124	—	2	2	no	—
738	#124	—	2	2	no	—
739	#124	—	2	2	no	—
740	#124	—	2	2	no	—
741	#124	—	2	2	no	—
742	#124	D₄×C₈₃	1	2	yes	—
743	#124	C₂³×C₈₃	1	1	yes	characteristic
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	1	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	1	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
761	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
762	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
763	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
764	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
765	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
766	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
767	#121	—	2	2	no	—
768	#121	—	2	1	no	—
769	#121	—	2	1	no	—
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	2	no	—
774	#121	—	2	2	no	—
775	#121	—	2	1	no	—
776	#121	—	2	2	no	—
777	#121	—	2	1	no	—
778	#121	D₄×C₈₃	1	2	yes	—
779	#121	D₄×C₈₃	1	1	yes	characteristic
780	#121	D₄×C₈₃	1	1	yes	characteristic
781	#121	C₂³×C₈₃	1	1	yes	characteristic
782	#121	C₂³×C₈₃	1	2	yes	—
783	#121	C₂³×C₈₃	1	2	yes	—
784	#121	C₂³×C₈₃	1	2	yes	—
785	C₄×Q₈	—	2	2	no	—
786	C₄×Q₈	—	2	2	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	2	yes	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
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	C₂³×C₈₃	1	1	yes	characteristic
804	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
805	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
806	C₄×D₄	C₂³×C₈₃	1	2	yes	—
807	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
808	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
809	#117	—	2	1	no	—
810	#117	—	2	1	no	—
811	#117	—	2	1	no	—
812	#117	—	2	1	no	—
813	#117	—	2	2	no	—
814	#117	—	2	1	no	—
815	#117	—	2	1	no	—
816	#117	C₂³×C₈₃	1	1	yes	characteristic
817	#117	C₂³×C₈₃	1	2	yes	—
818	#117	C₂³×C₈₃	1	2	yes	—
819	#117	C₂³×C₈₃	1	2	yes	—
820	C₂×C₄⋊C₄	—	2	1	no	—
821	C₂×C₄⋊C₄	—	2	1	no	—
822	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
823	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
824	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
825	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
826	C₂×C₄²	—	2	1	no	—
827	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
828	#107	C₂³×C₈₃	1	1	yes	characteristic
829	#107	C₂³×C₈₃	1	2	yes	—
830	#107	C₂³×C₈₃	1	2	yes	—
831	#107	C₂³×C₈₃	1	2	yes	—
832	#107	C₂³×C₈₃	1	1	yes	characteristic
833	#107	C₂³×C₈₃	1	2	yes	—
834	#107	C₂³×C₈₃	1	2	yes	—
835	#107	C₂³×C₈₃	1	2	yes	—
836	#107	C₂³×C₈₃	1	2	yes	—
837	#106	C₂³×C₈₃	1	2	yes	—
838	#106	C₂³×C₈₃	1	2	yes	—
839	#106	C₂³×C₈₃	1	1	yes	characteristic
840	#106	C₂³×C₈₃	1	1	yes	characteristic
841	#106	C₂³×C₈₃	1	2	yes	—
842	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
843	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
844	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
845	C₄⋊C₈	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	2	yes	—
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	1	yes	characteristic
854	#103	C₂³×C₈₃	1	2	yes	—
855	#103	C₂³×C₈₃	1	2	yes	—
856	#103	C₂³×C₈₃	1	1	yes	characteristic
857	#103	C₂³×C₈₃	1	1	yes	characteristic
858	#103	C₂³×C₈₃	1	2	yes	—
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	1	yes	characteristic
864	#102	C₂³×C₈₃	1	1	yes	characteristic
865	#102	C₂³×C₈₃	1	2	yes	—
866	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
867	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
868	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
869	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
871	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
872	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
873	#97	C₂³×C₈₃	1	2	yes	—
874	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
875	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
876	#41	—	4	2	no	—
877	#41	—	4	2	no	—
878	#41	—	4	1	no	—
879	#41	—	4	1	no	—
880	#41	—	4	2	no	—
881	#41	—	4	2	no	—
882	#41	—	8	4	no	—
883	C₂×Q₈	—	2	2	no	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	2	2	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	4	2	no	—
889	C₂×Q₈	—	4	2	no	—
890	C₂×Q₈	—	8	2	no	—
891	C₂×Q₈	C₂×D₄×C₈₃	1	2	yes	—
892	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
893	C₂×Q₈	C₂⁴×C₈₃	1	2	yes	—
894	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	C₂×D₄×C₈₃	1	1	yes	characteristic
902	C₂×D₄	C₂×D₄×C₈₃	1	1	yes	characteristic
903	C₂×D₄	C₂×D₄×C₈₃	1	2	yes	—
904	C₂×D₄	C₂×D₄×C₈₃	1	2	yes	—
905	C₂×D₄	C₂×D₄×C₈₃	1	2	yes	—
906	C₂×D₄	C₂×D₄×C₈₃	1	2	yes	—
907	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
908	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
920	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
921	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
923	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
924	Q₁₆	—	4	1	no	—
925	Q₁₆	—	4	2	no	—
926	SD₁₆	—	4	2	no	—
927	SD₁₆	—	4	1	no	—
928	SD₁₆	—	4	1	no	—
929	D₈	—	4	1	no	—
930	M₁₆	—	4	2	no	—
931	M₁₆	—	4	2	no	—
932	C₂×C₈	—	4	2	no	—
933	C₂×C₈	—	4	2	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	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
939	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	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	2	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
966	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
968	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
969	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
970	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	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	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	1	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
994	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
995	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
996	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	2	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
1006	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
1007	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1008	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1009	C₂³	—	2	1	no	—
1010	C₂³	—	2	1	no	—
1011	C₂³	C₂²×D₄×C₈₃	1	2	yes	—
1012	C₂³	C₂²×D₄×C₈₃	1	2	yes	—
1013	C₂³	C₂²×D₄×C₈₃	1	1	yes	characteristic
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	2	2	no	—
1017	Q₈	—	2	1	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	2	2	no	—
1020	Q₈	—	4	2	no	—
1021	Q₈	—	4	4	no	—
1022	Q₈	—	8	2	no	—
1023	Q₈	—	8	1	no	—
1024	Q₈	—	8	1	no	—
1025	Q₈	—	8	1	no	—
1026	D₄	—	2	2	no	—
1027	D₄	—	2	2	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	2	1	no	—
1030	D₄	—	2	1	no	—
1031	D₄	—	2	1	no	—
1032	D₄	—	4	2	no	—
1033	D₄	—	4	2	no	—
1034	D₄	—	4	2	no	—
1035	D₄	—	4	2	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	8	2	no	—
1038	D₄	—	8	2	no	—
1039	D₄	—	8	2	no	—
1040	D₄	—	8	1	no	—
1041	D₄	—	8	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	4	1	no	—
1060	C₂×C₄	—	4	2	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	2	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	—	8	2	no	—
1069	C₂×C₄	—	8	2	no	—
1070	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1071	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1072	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1073	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
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	1	no	—
1079	C₈	—	2	1	no	—
1080	C₈	—	2	2	no	—
1081	C₈	—	2	2	no	—
1082	C₈	—	2	1	no	—
1083	C₈	—	2	1	no	—
1084	C₂²	—	2	1	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	1	no	—
1088	C₂²	—	2	2	no	—
1089	C₂²	—	2	2	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	1	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	1	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	1	no	—
1102	C₄	—	2	1	no	—
1103	C₄	—	2	1	no	—
1104	C₄	—	2	2	no	—
1105	C₄	—	2	2	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	1	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	2	no	—
1110	C₄	—	4	2	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	2	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	2	no	—
1115	C₄	—	4	1	no	—
1116	C₄	#578×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	—	4	2	no	—
1121	C₂	—	4	2	no	—
1122	C₂	—	8	1	no	—
1123	C₂	—	8	1	no	—
1124	C₂	C₈₃×#3485	1	1	yes	characteristic
1125	C₂	C₂×#578×C₈₃	1	1	yes	characteristic
1126	C₂	C₈₃×#3585	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×#3511	C₂	semidirect
3. C₈₃×#3357	C₂	semidirect
4. C₈₃×#3357	C₂	semidirect
5. C₈₃×#3349	C₂	semidirect
6. C₈₃×#3343	C₂	semidirect
7. C₈₃×#3341	C₂	semidirect
8. C₈₃×#3338	C₂	semidirect
9. C₈₃×#3331	C₂	semidirect
10. C₈₃×#3329	C₂	semidirect
11. C₈₃×#3313	C₂	semidirect
12. C₈₃×#3308	C₂	semidirect
13. C₈₃×#3303	C₂	semidirect
14. C₈₃×#3299	C₂	semidirect
15. C₈₃×#3238	C₂	semidirect
16. C₈₃×#3230	C₂	semidirect
17. C₈₃×#3203	C₂	semidirect
18. C₈₃×#3201	C₂	semidirect
19. C₈₃×#3116	C₂	semidirect
20. C₈₃×#3102	C₂	semidirect
21. C₈₃×#3098	C₂	semidirect
22. C₈₃×#3097	C₂	semidirect
23. C₈₃×#2981	C₂	semidirect
555. #61816	C₈₃	direct (N × H)
564. #3547	C₂×C₈₃	semidirect
565. #3511	C₂×C₈₃	semidirect
566. #3357	C₂×C₈₃	semidirect
567. #3357	C₂×C₈₃	semidirect
568. #3349	C₂×C₈₃	semidirect
569. #3343	C₂×C₈₃	semidirect
570. #3341	C₂×C₈₃	semidirect
571. #3338	C₂×C₈₃	semidirect
572. #3331	C₂×C₈₃	semidirect
573. #3329	C₂×C₈₃	semidirect
574. #3313	C₂×C₈₃	semidirect
575. #3308	C₂×C₈₃	semidirect
576. #3303	C₂×C₈₃	semidirect
577. #3299	C₂×C₈₃	semidirect
578. #3238	C₂×C₈₃	semidirect
579. #3230	C₂×C₈₃	semidirect
580. #3203	C₂×C₈₃	semidirect
581. #3201	C₂×C₈₃	semidirect
582. #3116	C₂×C₈₃	semidirect
583. #3102	C₂×C₈₃	semidirect
584. #3098	C₂×C₈₃	semidirect
585. #3097	C₂×C₈₃	semidirect
586. #2981	C₂×C₈₃	semidirect
587. C₈₃	#61816	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×#3547	2
C₈₃×#3511	2
C₈₃×#3357	2
C₈₃×#3349	2
C₈₃×#3343	2
C₈₃×#3341	2
C₈₃×#3338	2
C₈₃×#3331	2
C₈₃×#3329	2
C₈₃×#3313	2
C₈₃×#3308	2
C₈₃×#3303	2
C₈₃×#3299	2
C₈₃×#3238	2
C₈₃×#3230	2
C₈₃×#3203	2
C₈₃×#3201	2
C₈₃×#3116	2
C₈₃×#3102	2
C₈₃×#3098	2
C₈₃×#3097	2
C₈₃×#2981	2
#61816	83

Subgroups — C83×#61816 #35289640

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#61816 #35289640