Subgroups — C₈₃×#61848 #35289672

Order 21248.

1660 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₃×#3556	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₃×#3501	C₂	1	1	yes	maximal, characteristic
3	C₈₃×#3388	C₂	1	4	yes	maximal, complemented
4	C₈₃×#3386	C₂	1	2	yes	maximal, complemented
5	C₈₃×#3381	C₂	1	2	yes	maximal, complemented
6	C₈₃×#3372	C₂	1	2	yes	maximal, complemented
7	C₈₃×#3372	C₂	1	4	yes	maximal, complemented
8	C₈₃×#3359	C₂	1	2	yes	maximal, complemented
9	C₈₃×#3242	C₂	1	4	yes	maximal, complemented
10	C₈₃×#3237	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₃×#3231	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₃×#3123	C₂	1	4	yes	maximal
13	C₈₃×#3110	C₂	1	1	yes	maximal, characteristic
14	C₈₃×#3101	C₂	1	1	yes	maximal, characteristic
15	C₈₃×#2985	C₂	1	1	yes	maximal, characteristic, complemented
16	#564×C₈₃	—	2	2	no	—
17	#557×C₈₃	—	2	1	no	—
18	#557×C₈₃	—	2	1	no	—
19	#557×C₈₃	C₂²	1	2	yes	complemented
20	#557×C₈₃	C₂²	1	2	yes	complemented
21	#557×C₈₃	C₂²	1	2	yes	complemented
22	#557×C₈₃	C₂²	1	2	yes	complemented
23	#554×C₈₃	—	2	1	no	—
24	#554×C₈₃	—	2	2	no	—
25	#554×C₈₃	C₂²	1	2	yes	—
26	#554×C₈₃	C₂²	1	4	yes	—
27	D₄×Q₈×C₈₃	—	2	1	no	—
28	D₄×Q₈×C₈₃	C₂²	1	2	yes	—
29	#544×C₈₃	C₂²	1	2	yes	—
30	#543×C₈₃	—	2	2	no	—
31	#541×C₈₃	—	2	2	no	—
32	#541×C₈₃	—	2	2	no	—
33	#541×C₈₃	C₂²	1	4	yes	—
34	#533×C₈₃	C₂²	1	1	yes	characteristic
35	#533×C₈₃	C₂²	1	1	yes	characteristic
36	#533×C₈₃	C₂²	1	1	yes	characteristic
37	#533×C₈₃	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊Q₈×C₈₃	—	2	2	no	—
39	#518×C₈₃	C₂²	1	2	yes	—
40	C₂×C₄×D₄×C₈₃	C₂²	1	1	yes	characteristic
41	#501×C₈₃	C₂²	1	4	yes	complemented
42	#501×C₈₃	C₂²	1	2	yes	complemented
43	#500×C₈₃	C₂²	1	1	yes	characteristic, complemented
44	#499×C₈₃	C₂²	1	4	yes	complemented
45	#498×C₈₃	C₂²	1	1	yes	characteristic, complemented
46	#491×C₈₃	C₂²	1	2	yes	complemented
47	#491×C₈₃	C₂²	1	4	yes	complemented
48	#487×C₈₃	C₂²	1	1	yes	characteristic, complemented
49	#487×C₈₃	C₂²	1	4	yes	complemented
50	#487×C₈₃	C₂²	1	1	yes	characteristic, complemented
51	#485×C₈₃	C₂²	1	4	yes	—
52	#485×C₈₃	C₂²	1	4	yes	—
53	#484×C₈₃	C₂²	1	2	yes	—
54	#483×C₈₃	C₂²	1	2	yes	—
55	#479×C₈₃	C₂²	1	4	yes	complemented
56	#479×C₈₃	C₂²	1	4	yes	complemented
57	#479×C₈₃	C₂²	1	4	yes	complemented
58	#478×C₈₃	C₂²	1	4	yes	—
59	#478×C₈₃	C₂²	1	4	yes	—
60	#477×C₈₃	C₂²	1	2	yes	complemented
61	#477×C₈₃	C₂²	1	4	yes	complemented
62	#476×C₈₃	C₂²	1	2	yes	—
63	#475×C₈₃	C₂²	1	2	yes	complemented
64	#475×C₈₃	C₂²	1	4	yes	complemented
65	#474×C₈₃	C₂²	1	2	yes	—
66	#461×C₈₃	C₂²	1	2	yes	—
67	#461×C₈₃	C₂²	1	2	yes	—
68	#461×C₈₃	C₂²	1	4	yes	—
69	#461×C₈₃	C₂²	1	4	yes	—
70	#450×C₈₃	C₂²	1	2	yes	—
71	#450×C₈₃	C₂²	1	2	yes	—
72	#446×C₈₃	C₂²	1	2	yes	complemented
73	#446×C₈₃	C₂²	1	4	yes	complemented
74	C₈×Q₈×C₈₃	C₂²	1	2	yes	complemented
75	#440×C₈₃	C₂²	1	4	yes	—
76	#440×C₈₃	C₂²	1	4	yes	—
77	#440×C₈₃	C₂²	1	4	yes	—
78	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
79	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
80	C₄×SD₁₆×C₈₃	C₂²	1	4	yes	—
81	C₄×SD₁₆×C₈₃	C₂²	1	4	yes	—
82	#433×C₈₃	C₂²	1	4	yes	—
83	#432×C₈₃	C₂²	1	1	yes	characteristic
84	#431×C₈₃	C₂²	1	1	yes	characteristic
85	C₂²×Q₈×C₈₃	—	2	2	no	—
86	C₂²×D₄×C₈₃	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₈₃	—	2	1	no	—
88	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
89	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
90	C₂×SD₁₆×C₈₃	C₂³	1	4	yes	—
91	C₄⋊Q₈×C₈₃	—	2	2	no	—
92	C₄⋊Q₈×C₈₃	—	2	2	no	—
93	C₄⋊Q₈×C₈₃	—	2	2	no	—
94	C₄⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
95	C₄⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
96	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
97	C₄⋊Q₈×C₈₃	C₂³	1	4	yes	—
98	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
99	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
100	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
101	C₄⋊Q₈×C₈₃	C₂³	1	4	yes	—
102	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
103	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
104	#126×C₈₃	—	2	4	no	—
105	#126×C₈₃	—	2	4	no	—
106	#125×C₈₃	—	2	2	no	—
107	#125×C₈₃	—	2	2	no	—
108	#125×C₈₃	—	2	4	no	—
109	#125×C₈₃	—	2	4	no	—
110	#125×C₈₃	—	2	4	no	—
111	#125×C₈₃	—	2	4	no	—
112	#125×C₈₃	—	2	4	no	—
113	#125×C₈₃	—	2	4	no	—
114	#125×C₈₃	—	2	2	no	—
115	#125×C₈₃	—	2	1	no	—
116	#125×C₈₃	—	2	1	no	—
117	#125×C₈₃	D₄	1	2	yes	—
118	#125×C₈₃	C₂³	1	4	yes	—
119	#125×C₈₃	C₂³	1	4	yes	—
120	#125×C₈₃	C₂³	1	2	yes	—
121	C₂²⋊Q₈×C₈₃	—	2	2	no	—
122	C₂²⋊Q₈×C₈₃	—	2	4	no	—
123	C₂²⋊Q₈×C₈₃	—	2	1	no	—
124	C₂²⋊Q₈×C₈₃	—	2	1	no	—
125	C₂²⋊Q₈×C₈₃	—	2	1	no	—
126	C₂²⋊Q₈×C₈₃	—	2	1	no	—
127	C₂²⋊Q₈×C₈₃	—	2	2	no	—
128	C₂²⋊Q₈×C₈₃	—	2	4	no	—
129	C₂²⋊Q₈×C₈₃	—	2	4	no	—
130	C₂²⋊Q₈×C₈₃	—	2	4	no	—
131	C₂²⋊Q₈×C₈₃	—	2	4	no	—
132	C₂²⋊Q₈×C₈₃	—	2	4	no	—
133	C₂²⋊Q₈×C₈₃	D₄	1	2	yes	—
134	C₂²⋊Q₈×C₈₃	D₄	1	2	yes	—
135	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
136	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
137	C₄×Q₈×C₈₃	—	2	2	no	—
138	C₄×Q₈×C₈₃	—	2	2	no	—
139	C₄×Q₈×C₈₃	—	2	2	no	—
140	C₄×Q₈×C₈₃	—	2	2	no	—
141	C₄×Q₈×C₈₃	—	2	1	no	—
142	C₄×Q₈×C₈₃	—	2	1	no	—
143	C₄×Q₈×C₈₃	—	2	1	no	—
144	C₄×Q₈×C₈₃	—	2	1	no	—
145	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
146	C₄×Q₈×C₈₃	C₂³	1	4	yes	—
147	C₄×Q₈×C₈₃	C₂³	1	4	yes	—
148	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
149	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
150	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
151	C₄×D₄×C₈₃	—	2	2	no	—
152	C₄×D₄×C₈₃	—	2	2	no	—
153	C₄×D₄×C₈₃	—	2	1	no	—
154	C₄×D₄×C₈₃	—	2	1	no	—
155	C₄×D₄×C₈₃	C₂³	1	2	yes	—
156	C₄×D₄×C₈₃	C₂³	1	2	yes	—
157	C₄×D₄×C₈₃	C₂³	1	4	yes	—
158	C₄×D₄×C₈₃	C₂³	1	4	yes	—
159	#117×C₈₃	—	2	1	no	—
160	#117×C₈₃	—	2	1	no	—
161	#117×C₈₃	C₂³	1	2	yes	—
162	#117×C₈₃	C₂³	1	2	yes	—
163	C₂×C₄⋊C₄×C₈₃	—	2	4	no	—
164	C₂×C₄⋊C₄×C₈₃	—	2	2	no	—
165	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
166	C₂×C₂²⋊C₄×C₈₃	—	2	1	no	—
167	C₂×C₂²⋊C₄×C₈₃	—	2	4	no	—
168	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
169	#107×C₈₃	C₂³	1	4	yes	—
170	#107×C₈₃	C₂³	1	4	yes	—
171	#107×C₈₃	C₂³	1	4	yes	—
172	#106×C₈₃	C₂³	1	2	yes	—
173	#106×C₈₃	C₂³	1	4	yes	—
174	#106×C₈₃	C₂³	1	2	yes	—
175	#106×C₈₃	C₂³	1	4	yes	—
176	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
177	C₄⋊C₈×C₈₃	C₂³	1	4	yes	—
178	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
179	C₄⋊C₈×C₈₃	C₂³	1	4	yes	—
180	#103×C₈₃	C₂³	1	4	yes	—
181	#103×C₈₃	C₂³	1	4	yes	—
182	#103×C₈₃	C₂³	1	4	yes	—
183	#103×C₈₃	C₂³	1	2	yes	—
184	#103×C₈₃	C₂³	1	4	yes	—
185	#103×C₈₃	C₂³	1	2	yes	—
186	#103×C₈₃	C₂³	1	4	yes	—
187	#102×C₈₃	C₂³	1	4	yes	—
188	#102×C₈₃	C₂³	1	2	yes	—
189	#102×C₈₃	C₂³	1	2	yes	—
190	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
191	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
192	#97×C₈₃	C₂³	1	2	yes	—
193	#97×C₈₃	C₂³	1	4	yes	—
194	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
195	C₄×C₈×C₈₃	C₂³	1	4	yes	—
196	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
197	C₂⁴×C₈₃	—	2	1	no	—
198	C₂×Q₈×C₈₃	—	2	1	no	—
199	C₂×Q₈×C₈₃	—	2	1	no	—
200	C₂×Q₈×C₈₃	—	2	1	no	—
201	C₂×Q₈×C₈₃	—	2	1	no	—
202	C₂×Q₈×C₈₃	—	2	4	no	—
203	C₂×Q₈×C₈₃	—	8	4	no	—
204	C₂×Q₈×C₈₃	C₂×D₄	1	2	yes	—
205	C₂×Q₈×C₈₃	C₂×D₄	1	2	yes	—
206	C₂×Q₈×C₈₃	C₂⁴	1	2	yes	—
207	C₂×Q₈×C₈₃	C₂⁴	1	2	yes	—
208	C₂×D₄×C₈₃	—	2	4	no	—
209	C₂×D₄×C₈₃	—	2	1	no	—
210	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₈₃	—	2	1	no	—
212	C₂²×C₄×C₈₃	—	2	2	no	—
213	C₂²×C₄×C₈₃	—	2	4	no	—
214	C₂²×C₄×C₈₃	—	2	4	no	—
215	C₂²×C₄×C₈₃	—	2	2	no	—
216	C₂²×C₄×C₈₃	—	8	2	no	—
217	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
218	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
219	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
220	SD₁₆×C₈₃	—	2	4	no	—
221	SD₁₆×C₈₃	—	2	4	no	—
222	SD₁₆×C₈₃	—	2	8	no	—
223	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
224	C₂×C₈×C₈₃	C₂⁴	1	4	yes	—
225	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
226	C₄⋊C₄×C₈₃	—	2	2	no	—
227	C₄⋊C₄×C₈₃	—	2	1	no	—
228	C₄⋊C₄×C₈₃	—	2	4	no	—
229	C₄⋊C₄×C₈₃	—	2	4	no	—
230	C₄⋊C₄×C₈₃	—	2	4	no	—
231	C₄⋊C₄×C₈₃	—	2	1	no	—
232	C₄⋊C₄×C₈₃	—	2	1	no	—
233	C₄⋊C₄×C₈₃	—	2	1	no	—
234	C₄⋊C₄×C₈₃	—	2	1	no	—
235	C₄⋊C₄×C₈₃	—	2	1	no	—
236	C₄⋊C₄×C₈₃	—	2	1	no	—
237	C₄⋊C₄×C₈₃	—	2	1	no	—
238	C₄⋊C₄×C₈₃	—	2	2	no	—
239	C₄⋊C₄×C₈₃	—	2	1	no	—
240	C₄⋊C₄×C₈₃	—	2	2	no	—
241	C₄⋊C₄×C₈₃	—	2	2	no	—
242	C₄⋊C₄×C₈₃	—	2	4	no	—
243	C₄⋊C₄×C₈₃	—	2	4	no	—
244	C₄⋊C₄×C₈₃	—	2	4	no	—
245	C₄⋊C₄×C₈₃	—	2	4	no	—
246	C₄⋊C₄×C₈₃	—	2	2	no	—
247	C₄⋊C₄×C₈₃	—	2	2	no	—
248	C₄⋊C₄×C₈₃	—	2	4	no	—
249	C₄⋊C₄×C₈₃	—	2	4	no	—
250	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
251	C₄⋊C₄×C₈₃	C₂×D₄	1	4	yes	—
252	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
253	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
254	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
255	C₄⋊C₄×C₈₃	C₂×D₄	1	4	yes	—
256	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
257	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
258	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
259	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
260	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
261	C₂²⋊C₄×C₈₃	—	2	2	no	—
262	C₂²⋊C₄×C₈₃	—	2	2	no	—
263	C₂²⋊C₄×C₈₃	—	2	2	no	—
264	C₂²⋊C₄×C₈₃	—	2	4	no	—
265	C₂²⋊C₄×C₈₃	—	2	4	no	—
266	C₂²⋊C₄×C₈₃	—	2	2	no	—
267	C₂²⋊C₄×C₈₃	—	2	2	no	—
268	C₂²⋊C₄×C₈₃	C₂×D₄	1	4	yes	—
269	C₄²×C₈₃	—	2	2	no	—
270	C₄²×C₈₃	—	2	2	no	—
271	C₄²×C₈₃	—	2	2	no	—
272	C₄²×C₈₃	—	2	4	no	—
273	C₄²×C₈₃	—	2	4	no	—
274	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
275	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
276	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
277	C₄²×C₈₃	C₂⁴	1	4	yes	—
278	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
279	C₂³×C₈₃	—	2	4	no	—
280	C₂³×C₈₃	—	2	2	no	—
281	C₂³×C₈₃	—	8	1	no	—
282	C₂³×C₈₃	—	8	1	no	—
283	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
284	Q₈×C₈₃	—	2	4	no	—
285	Q₈×C₈₃	—	2	2	no	—
286	Q₈×C₈₃	—	2	2	no	—
287	Q₈×C₈₃	—	2	4	no	—
288	Q₈×C₈₃	—	4	2	no	—
289	Q₈×C₈₃	—	4	2	no	—
290	Q₈×C₈₃	—	4	2	no	—
291	Q₈×C₈₃	—	4	2	no	—
292	Q₈×C₈₃	—	8	1	no	—
293	Q₈×C₈₃	—	8	4	no	—
294	D₄×C₈₃	—	2	4	no	—
295	D₄×C₈₃	—	2	2	no	—
296	D₄×C₈₃	2₋¹⁺⁴	1	4	yes	—
297	C₂×C₄×C₈₃	—	2	2	no	—
298	C₂×C₄×C₈₃	—	2	2	no	—
299	C₂×C₄×C₈₃	—	2	2	no	—
300	C₂×C₄×C₈₃	—	2	2	no	—
301	C₂×C₄×C₈₃	—	2	2	no	—
302	C₂×C₄×C₈₃	—	2	2	no	—
303	C₂×C₄×C₈₃	—	2	2	no	—
304	C₂×C₄×C₈₃	—	2	2	no	—
305	C₂×C₄×C₈₃	—	2	2	no	—
306	C₂×C₄×C₈₃	—	4	1	no	—
307	C₂×C₄×C₈₃	—	4	4	no	—
308	C₂×C₄×C₈₃	—	8	4	no	—
309	C₂×C₄×C₈₃	—	8	2	no	—
310	C₂×C₄×C₈₃	—	8	4	no	—
311	C₂×C₄×C₈₃	—	8	1	no	—
312	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
313	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
314	C₂×C₄×C₈₃	C₂²×D₄	1	4	yes	—
315	C₂×C₄×C₈₃	C₂²×D₄	1	4	yes	—
316	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
317	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
318	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
319	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
320	C₈×C₈₃	—	2	2	no	—
321	C₈×C₈₃	—	2	4	no	—
322	C₈×C₈₃	—	2	2	no	—
323	C₂²×C₈₃	—	2	1	no	—
324	C₂²×C₈₃	—	2	1	no	—
325	C₂²×C₈₃	—	2	4	no	—
326	C₂²×C₈₃	—	2	1	no	—
327	C₂²×C₈₃	—	4	2	no	—
328	C₂²×C₈₃	—	4	2	no	—
329	C₂²×C₈₃	—	8	4	no	—
330	C₂²×C₈₃	C₂³×D₄	1	1	yes	characteristic
331	C₄×C₈₃	—	2	1	no	—
332	C₄×C₈₃	—	2	1	no	—
333	C₄×C₈₃	—	2	4	no	—
334	C₄×C₈₃	—	2	1	no	—
335	C₄×C₈₃	—	2	1	no	—
336	C₄×C₈₃	—	2	4	no	—
337	C₄×C₈₃	—	4	2	no	—
338	C₄×C₈₃	—	4	2	no	—
339	C₄×C₈₃	—	4	2	no	—
340	C₄×C₈₃	—	4	2	no	—
341	C₄×C₈₃	—	4	2	no	—
342	C₄×C₈₃	—	4	2	no	—
343	C₄×C₈₃	—	4	2	no	—
344	C₄×C₈₃	#577	1	2	yes	—
345	C₄×C₈₃	C₂×2₋¹⁺⁴	1	2	yes	—
346	#61848	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
347	C₂×C₈₃	—	4	1	no	—
348	C₂×C₈₃	—	4	4	no	—
349	C₂×C₈₃	#3486	1	1	yes	characteristic
350	C₂×C₈₃	C₂×#577	1	1	yes	characteristic
351	C₂×C₈₃	#3586	1	1	yes	characteristic
352	#3556	C₂×C₈₃	1	1	yes	characteristic, complemented
353	#3501	C₂×C₈₃	1	1	yes	characteristic
354	#3388	C₂×C₈₃	1	4	yes	complemented
355	#3386	C₂×C₈₃	1	2	yes	complemented
356	#3381	C₂×C₈₃	1	2	yes	complemented
357	#3372	C₂×C₈₃	1	2	yes	complemented
358	#3372	C₂×C₈₃	1	4	yes	complemented
359	#3359	C₂×C₈₃	1	2	yes	complemented
360	#3242	C₂×C₈₃	1	4	yes	complemented
361	#3237	C₂×C₈₃	1	1	yes	characteristic, complemented
362	#3231	C₂×C₈₃	1	1	yes	characteristic, complemented
363	#3123	C₂×C₈₃	1	4	yes	—
364	#3110	C₂×C₈₃	1	1	yes	characteristic
365	#3101	C₂×C₈₃	1	1	yes	characteristic
366	#2985	C₂×C₈₃	1	1	yes	characteristic, complemented
367	C₈₃	#61848	1	1	yes	characteristic, direct product factor, Sylow
368	#564	—	2	2	no	—
369	#557	—	2	1	no	—
370	#557	—	2	1	no	—
371	#557	C₂²×C₈₃	1	2	yes	complemented
372	#557	C₂²×C₈₃	1	2	yes	complemented
373	#557	C₂²×C₈₃	1	2	yes	complemented
374	#557	C₂²×C₈₃	1	2	yes	complemented
375	#554	—	2	1	no	—
376	#554	—	2	2	no	—
377	#554	C₂²×C₈₃	1	2	yes	—
378	#554	C₂²×C₈₃	1	4	yes	—
379	D₄×Q₈	—	2	1	no	—
380	D₄×Q₈	C₂²×C₈₃	1	2	yes	—
381	#544	C₂²×C₈₃	1	2	yes	—
382	#543	—	2	2	no	—
383	#541	—	2	2	no	—
384	#541	—	2	2	no	—
385	#541	C₂²×C₈₃	1	4	yes	—
386	#533	C₂²×C₈₃	1	1	yes	characteristic
387	#533	C₂²×C₈₃	1	1	yes	characteristic
388	#533	C₂²×C₈₃	1	1	yes	characteristic
389	#533	C₂²×C₈₃	1	1	yes	characteristic
390	C₂×C₂²⋊Q₈	—	2	2	no	—
391	#518	C₂²×C₈₃	1	2	yes	—
392	C₂×C₄×D₄	C₂²×C₈₃	1	1	yes	characteristic
393	#501	C₂²×C₈₃	1	4	yes	complemented
394	#501	C₂²×C₈₃	1	2	yes	complemented
395	#500	C₂²×C₈₃	1	1	yes	characteristic, complemented
396	#499	C₂²×C₈₃	1	4	yes	complemented
397	#498	C₂²×C₈₃	1	1	yes	characteristic, complemented
398	#491	C₂²×C₈₃	1	2	yes	complemented
399	#491	C₂²×C₈₃	1	4	yes	complemented
400	#487	C₂²×C₈₃	1	1	yes	characteristic, complemented
401	#487	C₂²×C₈₃	1	4	yes	complemented
402	#487	C₂²×C₈₃	1	1	yes	characteristic, complemented
403	#485	C₂²×C₈₃	1	4	yes	—
404	#485	C₂²×C₈₃	1	4	yes	—
405	#484	C₂²×C₈₃	1	2	yes	—
406	#483	C₂²×C₈₃	1	2	yes	—
407	#479	C₂²×C₈₃	1	4	yes	complemented
408	#479	C₂²×C₈₃	1	4	yes	complemented
409	#479	C₂²×C₈₃	1	4	yes	complemented
410	#478	C₂²×C₈₃	1	4	yes	—
411	#478	C₂²×C₈₃	1	4	yes	—
412	#477	C₂²×C₈₃	1	2	yes	complemented
413	#477	C₂²×C₈₃	1	4	yes	complemented
414	#476	C₂²×C₈₃	1	2	yes	—
415	#475	C₂²×C₈₃	1	2	yes	complemented
416	#475	C₂²×C₈₃	1	4	yes	complemented
417	#474	C₂²×C₈₃	1	2	yes	—
418	#461	C₂²×C₈₃	1	2	yes	—
419	#461	C₂²×C₈₃	1	2	yes	—
420	#461	C₂²×C₈₃	1	4	yes	—
421	#461	C₂²×C₈₃	1	4	yes	—
422	#450	C₂²×C₈₃	1	2	yes	—
423	#450	C₂²×C₈₃	1	2	yes	—
424	#446	C₂²×C₈₃	1	2	yes	complemented
425	#446	C₂²×C₈₃	1	4	yes	complemented
426	C₈×Q₈	C₂²×C₈₃	1	2	yes	complemented
427	#440	C₂²×C₈₃	1	4	yes	—
428	#440	C₂²×C₈₃	1	4	yes	—
429	#440	C₂²×C₈₃	1	4	yes	—
430	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
431	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
432	C₄×SD₁₆	C₂²×C₈₃	1	4	yes	—
433	C₄×SD₁₆	C₂²×C₈₃	1	4	yes	—
434	#433	C₂²×C₈₃	1	4	yes	—
435	#432	C₂²×C₈₃	1	1	yes	characteristic
436	#431	C₂²×C₈₃	1	1	yes	characteristic
437	C₂²×Q₈	—	2	2	no	—
438	C₂²×D₄	C₂³×C₈₃	1	1	yes	characteristic
439	C₂³×C₄	—	2	1	no	—
440	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
441	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
442	C₂×SD₁₆	C₂³×C₈₃	1	4	yes	—
443	C₄⋊Q₈	—	2	2	no	—
444	C₄⋊Q₈	—	2	2	no	—
445	C₄⋊Q₈	—	2	2	no	—
446	C₄⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
447	C₄⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
448	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
449	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
450	C₄⋊Q₈	C₂³×C₈₃	1	4	yes	—
451	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
452	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
453	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
454	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
455	C₄⋊Q₈	C₂³×C₈₃	1	4	yes	—
456	#126	—	2	4	no	—
457	#126	—	2	4	no	—
458	#125	—	2	2	no	—
459	#125	—	2	2	no	—
460	#125	—	2	4	no	—
461	#125	—	2	4	no	—
462	#125	—	2	4	no	—
463	#125	—	2	4	no	—
464	#125	—	2	4	no	—
465	#125	—	2	4	no	—
466	#125	—	2	2	no	—
467	#125	—	2	1	no	—
468	#125	—	2	1	no	—
469	#125	D₄×C₈₃	1	2	yes	—
470	#125	C₂³×C₈₃	1	2	yes	—
471	#125	C₂³×C₈₃	1	4	yes	—
472	#125	C₂³×C₈₃	1	4	yes	—
473	C₂²⋊Q₈	—	2	2	no	—
474	C₂²⋊Q₈	—	2	4	no	—
475	C₂²⋊Q₈	—	2	1	no	—
476	C₂²⋊Q₈	—	2	1	no	—
477	C₂²⋊Q₈	—	2	1	no	—
478	C₂²⋊Q₈	—	2	1	no	—
479	C₂²⋊Q₈	—	2	2	no	—
480	C₂²⋊Q₈	—	2	4	no	—
481	C₂²⋊Q₈	—	2	4	no	—
482	C₂²⋊Q₈	—	2	4	no	—
483	C₂²⋊Q₈	—	2	4	no	—
484	C₂²⋊Q₈	—	2	4	no	—
485	C₂²⋊Q₈	D₄×C₈₃	1	2	yes	—
486	C₂²⋊Q₈	D₄×C₈₃	1	2	yes	—
487	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
488	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
489	C₄×Q₈	—	2	2	no	—
490	C₄×Q₈	—	2	2	no	—
491	C₄×Q₈	—	2	2	no	—
492	C₄×Q₈	—	2	2	no	—
493	C₄×Q₈	—	2	1	no	—
494	C₄×Q₈	—	2	1	no	—
495	C₄×Q₈	—	2	1	no	—
496	C₄×Q₈	—	2	1	no	—
497	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
498	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
499	C₄×Q₈	C₂³×C₈₃	1	4	yes	—
500	C₄×Q₈	C₂³×C₈₃	1	4	yes	—
501	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
502	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
503	C₄×D₄	—	2	2	no	—
504	C₄×D₄	—	2	2	no	—
505	C₄×D₄	—	2	1	no	—
506	C₄×D₄	—	2	1	no	—
507	C₄×D₄	C₂³×C₈₃	1	2	yes	—
508	C₄×D₄	C₂³×C₈₃	1	2	yes	—
509	C₄×D₄	C₂³×C₈₃	1	4	yes	—
510	C₄×D₄	C₂³×C₈₃	1	4	yes	—
511	#117	—	2	1	no	—
512	#117	—	2	1	no	—
513	#117	C₂³×C₈₃	1	2	yes	—
514	#117	C₂³×C₈₃	1	2	yes	—
515	C₂×C₄⋊C₄	—	2	4	no	—
516	C₂×C₄⋊C₄	—	2	2	no	—
517	C₂×C₄⋊C₄	C₂³×C₈₃	1	1	yes	characteristic
518	C₂×C₂²⋊C₄	—	2	1	no	—
519	C₂×C₂²⋊C₄	—	2	4	no	—
520	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
521	#107	C₂³×C₈₃	1	4	yes	—
522	#107	C₂³×C₈₃	1	4	yes	—
523	#107	C₂³×C₈₃	1	4	yes	—
524	#106	C₂³×C₈₃	1	2	yes	—
525	#106	C₂³×C₈₃	1	4	yes	—
526	#106	C₂³×C₈₃	1	2	yes	—
527	#106	C₂³×C₈₃	1	4	yes	—
528	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
529	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
530	C₄⋊C₈	C₂³×C₈₃	1	4	yes	—
531	C₄⋊C₈	C₂³×C₈₃	1	4	yes	—
532	#103	C₂³×C₈₃	1	4	yes	—
533	#103	C₂³×C₈₃	1	2	yes	—
534	#103	C₂³×C₈₃	1	4	yes	—
535	#103	C₂³×C₈₃	1	2	yes	—
536	#103	C₂³×C₈₃	1	4	yes	—
537	#103	C₂³×C₈₃	1	4	yes	—
538	#103	C₂³×C₈₃	1	4	yes	—
539	#102	C₂³×C₈₃	1	2	yes	—
540	#102	C₂³×C₈₃	1	4	yes	—
541	#102	C₂³×C₈₃	1	2	yes	—
542	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
543	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
544	#97	C₂³×C₈₃	1	2	yes	—
545	#97	C₂³×C₈₃	1	4	yes	—
546	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
547	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
548	C₄×C₈	C₂³×C₈₃	1	4	yes	—
549	C₂⁴	—	2	1	no	—
550	C₂×Q₈	—	2	1	no	—
551	C₂×Q₈	—	2	1	no	—
552	C₂×Q₈	—	2	1	no	—
553	C₂×Q₈	—	2	1	no	—
554	C₂×Q₈	—	2	4	no	—
555	C₂×Q₈	—	8	4	no	—
556	C₂×Q₈	C₂×D₄×C₈₃	1	2	yes	—
557	C₂×Q₈	C₂×D₄×C₈₃	1	2	yes	—
558	C₂×Q₈	C₂⁴×C₈₃	1	2	yes	—
559	C₂×Q₈	C₂⁴×C₈₃	1	2	yes	—
560	C₂×D₄	—	2	4	no	—
561	C₂×D₄	—	2	1	no	—
562	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
563	C₂²×C₄	—	2	1	no	—
564	C₂²×C₄	—	2	2	no	—
565	C₂²×C₄	—	2	4	no	—
566	C₂²×C₄	—	2	4	no	—
567	C₂²×C₄	—	2	2	no	—
568	C₂²×C₄	—	8	2	no	—
569	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
570	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
571	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
572	SD₁₆	—	2	4	no	—
573	SD₁₆	—	2	4	no	—
574	SD₁₆	—	2	8	no	—
575	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
576	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
577	C₂×C₈	C₂⁴×C₈₃	1	4	yes	—
578	C₄⋊C₄	—	2	2	no	—
579	C₄⋊C₄	—	2	1	no	—
580	C₄⋊C₄	—	2	4	no	—
581	C₄⋊C₄	—	2	4	no	—
582	C₄⋊C₄	—	2	4	no	—
583	C₄⋊C₄	—	2	1	no	—
584	C₄⋊C₄	—	2	1	no	—
585	C₄⋊C₄	—	2	1	no	—
586	C₄⋊C₄	—	2	1	no	—
587	C₄⋊C₄	—	2	1	no	—
588	C₄⋊C₄	—	2	1	no	—
589	C₄⋊C₄	—	2	1	no	—
590	C₄⋊C₄	—	2	2	no	—
591	C₄⋊C₄	—	2	1	no	—
592	C₄⋊C₄	—	2	2	no	—
593	C₄⋊C₄	—	2	2	no	—
594	C₄⋊C₄	—	2	4	no	—
595	C₄⋊C₄	—	2	4	no	—
596	C₄⋊C₄	—	2	4	no	—
597	C₄⋊C₄	—	2	4	no	—
598	C₄⋊C₄	—	2	2	no	—
599	C₄⋊C₄	—	2	2	no	—
600	C₄⋊C₄	—	2	4	no	—
601	C₄⋊C₄	—	2	4	no	—
602	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
603	C₄⋊C₄	C₂×D₄×C₈₃	1	4	yes	—
604	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
605	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
606	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
607	C₄⋊C₄	C₂×D₄×C₈₃	1	4	yes	—
608	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
609	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
610	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
611	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
612	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
613	C₂²⋊C₄	—	2	2	no	—
614	C₂²⋊C₄	—	2	2	no	—
615	C₂²⋊C₄	—	2	2	no	—
616	C₂²⋊C₄	—	2	4	no	—
617	C₂²⋊C₄	—	2	4	no	—
618	C₂²⋊C₄	—	2	2	no	—
619	C₂²⋊C₄	—	2	2	no	—
620	C₂²⋊C₄	C₂×D₄×C₈₃	1	4	yes	—
621	C₄²	—	2	2	no	—
622	C₄²	—	2	2	no	—
623	C₄²	—	2	2	no	—
624	C₄²	—	2	4	no	—
625	C₄²	—	2	4	no	—
626	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
627	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
628	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
629	C₄²	C₂⁴×C₈₃	1	4	yes	—
630	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
631	C₂³	—	2	4	no	—
632	C₂³	—	2	2	no	—
633	C₂³	—	8	1	no	—
634	C₂³	—	8	1	no	—
635	C₂³	C₂²×D₄×C₈₃	1	1	yes	characteristic
636	Q₈	—	2	4	no	—
637	Q₈	—	2	2	no	—
638	Q₈	—	2	4	no	—
639	Q₈	—	2	2	no	—
640	Q₈	—	4	2	no	—
641	Q₈	—	4	2	no	—
642	Q₈	—	4	2	no	—
643	Q₈	—	4	2	no	—
644	Q₈	—	8	4	no	—
645	Q₈	—	8	1	no	—
646	D₄	—	2	4	no	—
647	D₄	—	2	2	no	—
648	D₄	2₋¹⁺⁴×C₈₃	1	4	yes	—
649	C₂×C₄	—	2	2	no	—
650	C₂×C₄	—	2	2	no	—
651	C₂×C₄	—	2	2	no	—
652	C₂×C₄	—	2	2	no	—
653	C₂×C₄	—	2	2	no	—
654	C₂×C₄	—	2	2	no	—
655	C₂×C₄	—	2	2	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	4	1	no	—
659	C₂×C₄	—	4	4	no	—
660	C₂×C₄	—	8	2	no	—
661	C₂×C₄	—	8	4	no	—
662	C₂×C₄	—	8	4	no	—
663	C₂×C₄	—	8	1	no	—
664	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
665	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
666	C₂×C₄	C₂²×D₄×C₈₃	1	4	yes	—
667	C₂×C₄	C₂²×D₄×C₈₃	1	4	yes	—
668	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
669	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
670	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
671	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
672	C₈	—	2	2	no	—
673	C₈	—	2	2	no	—
674	C₈	—	2	4	no	—
675	C₂²	—	2	1	no	—
676	C₂²	—	2	1	no	—
677	C₂²	—	2	1	no	—
678	C₂²	—	2	4	no	—
679	C₂²	—	4	2	no	—
680	C₂²	—	4	2	no	—
681	C₂²	—	8	4	no	—
682	C₂²	C₂³×D₄×C₈₃	1	1	yes	characteristic
683	C₄	—	2	1	no	—
684	C₄	—	2	4	no	—
685	C₄	—	2	1	no	—
686	C₄	—	2	1	no	—
687	C₄	—	2	4	no	—
688	C₄	—	2	1	no	—
689	C₄	—	4	2	no	—
690	C₄	—	4	2	no	—
691	C₄	—	4	2	no	—
692	C₄	—	4	2	no	—
693	C₄	—	4	2	no	—
694	C₄	—	4	2	no	—
695	C₄	—	4	2	no	—
696	C₄	#577×C₈₃	1	2	yes	—
697	C₄	C₂×2₋¹⁺⁴×C₈₃	1	2	yes	—
698	C₂	—	4	1	no	—
699	C₂	—	4	4	no	—
700	C₂	C₈₃×#3486	1	1	yes	characteristic
701	C₂	C₂×#577×C₈₃	1	1	yes	characteristic
702	C₂	C₈₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₈₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₈₃
prime radical	C₂²×D₄×C₈₃	C₂³
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×#3556	C₂	semidirect
3. C₈₃×#3388	C₂	semidirect
4. C₈₃×#3386	C₂	semidirect
5. C₈₃×#3381	C₂	semidirect
6. C₈₃×#3372	C₂	semidirect
7. C₈₃×#3372	C₂	semidirect
8. C₈₃×#3359	C₂	semidirect
9. C₈₃×#3242	C₂	semidirect
10. C₈₃×#3237	C₂	semidirect
11. C₈₃×#3231	C₂	semidirect
15. C₈₃×#2985	C₂	semidirect
19. #557×C₈₃	C₂²	semidirect
20. #557×C₈₃	C₂²	semidirect
21. #557×C₈₃	C₂²	semidirect
22. #557×C₈₃	C₂²	semidirect
41. #501×C₈₃	C₂²	semidirect
42. #501×C₈₃	C₂²	semidirect
43. #500×C₈₃	C₂²	semidirect
44. #499×C₈₃	C₂²	semidirect
45. #498×C₈₃	C₂²	semidirect
46. #491×C₈₃	C₂²	semidirect
47. #491×C₈₃	C₂²	semidirect
48. #487×C₈₃	C₂²	semidirect
49. #487×C₈₃	C₂²	semidirect
50. #487×C₈₃	C₂²	semidirect
55. #479×C₈₃	C₂²	semidirect
56. #479×C₈₃	C₂²	semidirect
57. #479×C₈₃	C₂²	semidirect
60. #477×C₈₃	C₂²	semidirect
61. #477×C₈₃	C₂²	semidirect
63. #475×C₈₃	C₂²	semidirect
64. #475×C₈₃	C₂²	semidirect
72. #446×C₈₃	C₂²	semidirect
73. #446×C₈₃	C₂²	semidirect
74. C₈×Q₈×C₈₃	C₂²	semidirect
346. #61848	C₈₃	direct (N × H)
352. #3556	C₂×C₈₃	semidirect
354. #3388	C₂×C₈₃	semidirect
355. #3386	C₂×C₈₃	semidirect
356. #3381	C₂×C₈₃	semidirect
357. #3372	C₂×C₈₃	semidirect
358. #3372	C₂×C₈₃	semidirect
359. #3359	C₂×C₈₃	semidirect
360. #3242	C₂×C₈₃	semidirect
361. #3237	C₂×C₈₃	semidirect
362. #3231	C₂×C₈₃	semidirect
366. #2985	C₂×C₈₃	semidirect
367. C₈₃	#61848	direct (N × H)
371. #557	C₂²×C₈₃	semidirect
372. #557	C₂²×C₈₃	semidirect
373. #557	C₂²×C₈₃	semidirect
374. #557	C₂²×C₈₃	semidirect
393. #501	C₂²×C₈₃	semidirect
394. #501	C₂²×C₈₃	semidirect
395. #500	C₂²×C₈₃	semidirect
396. #499	C₂²×C₈₃	semidirect
397. #498	C₂²×C₈₃	semidirect
398. #491	C₂²×C₈₃	semidirect
399. #491	C₂²×C₈₃	semidirect
400. #487	C₂²×C₈₃	semidirect
401. #487	C₂²×C₈₃	semidirect
402. #487	C₂²×C₈₃	semidirect
407. #479	C₂²×C₈₃	semidirect
408. #479	C₂²×C₈₃	semidirect
409. #479	C₂²×C₈₃	semidirect
412. #477	C₂²×C₈₃	semidirect
413. #477	C₂²×C₈₃	semidirect
415. #475	C₂²×C₈₃	semidirect
416. #475	C₂²×C₈₃	semidirect
424. #446	C₂²×C₈₃	semidirect
425. #446	C₂²×C₈₃	semidirect
426. C₈×Q₈	C₂²×C₈₃	semidirect

Maximal subgroups

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

subgroup	index
C₈₃×#3556	2
C₈₃×#3501	2
C₈₃×#3388	2
C₈₃×#3386	2
C₈₃×#3381	2
C₈₃×#3372	2
C₈₃×#3359	2
C₈₃×#3242	2
C₈₃×#3237	2
C₈₃×#3231	2
C₈₃×#3123	2
C₈₃×#3110	2
C₈₃×#3101	2
C₈₃×#2985	2
#61848	83

Subgroups — C83×#61848 #35289672

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#61848 #35289672