Subgroups — C₈₃×#61860 #35289684

Order 21248.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1100 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₃×#3503	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₃×#3388	C₂	1	2	yes	maximal, complemented
4	C₈₃×#3387	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₃×#3384	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₃×#3384	C₂	1	2	yes	maximal, complemented
7	C₈₃×#3381	C₂	1	1	yes	maximal, characteristic, complemented
8	Q₈×SD₁₆×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₃×#3373	C₂	1	2	yes	maximal, complemented
11	C₈₃×#3371	C₂	1	2	yes	maximal, complemented
12	C₈₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₃×#3362	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₃×#3244	C₂	1	2	yes	maximal, complemented
16	C₈₃×#3241	C₂	1	2	yes	maximal, complemented
17	C₈₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₃×#3227	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₃×#3125	C₂	1	2	yes	maximal, complemented
20	C₈₃×#3119	C₂	1	2	yes	maximal, complemented
21	C₈₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₃×#2985	C₂	1	1	yes	maximal, characteristic, complemented
24	#562×C₈₃	—	2	2	no	—
25	#559×C₈₃	C₂²	1	1	yes	characteristic
26	#559×C₈₃	C₂²	1	2	yes	—
27	Q₈²×C₈₃	C₂²	1	1	yes	characteristic
28	Q₈²×C₈₃	C₂²	1	1	yes	characteristic
29	#557×C₈₃	C₂²	1	1	yes	characteristic
30	#557×C₈₃	C₂²	1	2	yes	—
31	#554×C₈₃	—	2	1	no	—
32	#554×C₈₃	—	2	1	no	—
33	#554×C₈₃	C₂²	1	2	yes	—
34	#554×C₈₃	C₂²	1	1	yes	characteristic
35	#554×C₈₃	C₂²	1	1	yes	characteristic
36	#550×C₈₃	C₂²	1	1	yes	characteristic
37	D₄×Q₈×C₈₃	—	2	2	no	—
38	D₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₈₃	C₂²	1	2	yes	—
40	#548×C₈₃	—	2	1	no	—
41	#547×C₈₃	—	2	1	no	—
42	#544×C₈₃	—	2	2	no	—
43	#544×C₈₃	C₂²	1	2	yes	—
44	#542×C₈₃	—	2	1	no	—
45	#542×C₈₃	C₂²	1	2	yes	—
46	#540×C₈₃	C₂²	1	2	yes	—
47	#539×C₈₃	—	2	2	no	—
48	#536×C₈₃	—	2	1	no	—
49	#533×C₈₃	—	2	1	no	—
50	#533×C₈₃	C₂²	1	1	yes	characteristic
51	#532×C₈₃	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊Q₈×C₈₃	—	2	1	no	—
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	#501×C₈₃	C₂²	1	2	yes	—
59	#501×C₈₃	C₂²	1	2	yes	—
60	#499×C₈₃	C₂²	1	2	yes	—
61	#498×C₈₃	C₂²	1	1	yes	characteristic
62	#498×C₈₃	C₂²	1	2	yes	—
63	#498×C₈₃	C₂²	1	1	yes	characteristic
64	#490×C₈₃	C₂²	1	2	yes	—
65	#489×C₈₃	C₂²	1	2	yes	—
66	#489×C₈₃	C₂²	1	2	yes	—
67	#488×C₈₃	C₂²	1	2	yes	—
68	#486×C₈₃	C₂²	1	1	yes	characteristic
69	#486×C₈₃	C₂²	1	2	yes	—
70	#486×C₈₃	C₂²	1	1	yes	characteristic
71	#485×C₈₃	C₂²	1	1	yes	characteristic
72	#483×C₈₃	C₂²	1	2	yes	—
73	#482×C₈₃	C₂²	1	1	yes	characteristic
74	#482×C₈₃	C₂²	1	2	yes	—
75	#481×C₈₃	C₂²	1	2	yes	—
76	#481×C₈₃	C₂²	1	2	yes	—
77	#480×C₈₃	C₂²	1	2	yes	—
78	#479×C₈₃	C₂²	1	1	yes	characteristic
79	#479×C₈₃	C₂²	1	2	yes	—
80	#479×C₈₃	C₂²	1	2	yes	—
81	#478×C₈₃	C₂²	1	1	yes	characteristic
82	#478×C₈₃	C₂²	1	2	yes	—
83	#478×C₈₃	C₂²	1	2	yes	—
84	#478×C₈₃	C₂²	1	2	yes	—
85	#478×C₈₃	C₂²	1	2	yes	—
86	#477×C₈₃	C₂²	1	1	yes	characteristic
87	#477×C₈₃	C₂²	1	1	yes	characteristic
88	#476×C₈₃	C₂²	1	1	yes	characteristic
89	#476×C₈₃	C₂²	1	2	yes	—
90	#476×C₈₃	C₂²	1	1	yes	characteristic
91	#476×C₈₃	C₂²	1	2	yes	—
92	#476×C₈₃	C₂²	1	2	yes	—
93	#476×C₈₃	C₂²	1	2	yes	—
94	#476×C₈₃	C₂²	1	2	yes	—
95	#475×C₈₃	C₂²	1	1	yes	characteristic
96	#475×C₈₃	C₂²	1	2	yes	—
97	#475×C₈₃	C₂²	1	2	yes	—
98	#474×C₈₃	C₂²	1	1	yes	characteristic
99	#474×C₈₃	C₂²	1	2	yes	—
100	#464×C₈₃	C₂²	1	1	yes	characteristic
101	#464×C₈₃	C₂²	1	2	yes	—
102	#463×C₈₃	C₂²	1	1	yes	characteristic
103	#463×C₈₃	C₂²	1	2	yes	—
104	#460×C₈₃	C₂²	1	1	yes	characteristic
105	#460×C₈₃	C₂²	1	2	yes	—
106	#459×C₈₃	C₂²	1	1	yes	characteristic
107	#459×C₈₃	C₂²	1	2	yes	—
108	#452×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	2	yes	—
114	#446×C₈₃	C₂²	1	1	yes	characteristic
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	#442×C₈₃	C₂²	1	2	yes	—
119	#442×C₈₃	C₂²	1	2	yes	—
120	#441×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	1	yes	characteristic
124	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
125	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
126	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
127	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
128	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
129	C₄×D₈×C₈₃	C₂²	1	1	yes	characteristic
130	C₄×D₈×C₈₃	C₂²	1	2	yes	—
131	#433×C₈₃	C₂²	1	2	yes	—
132	#433×C₈₃	C₂²	1	2	yes	—
133	#432×C₈₃	C₂²	1	1	yes	characteristic
134	#431×C₈₃	C₂²	1	1	yes	characteristic
135	C₂×#41×C₈₃	—	2	1	no	—
136	C₂×#41×C₈₃	—	2	1	no	—
137	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₈₃	—	2	2	no	—
139	C₂²×Q₈×C₈₃	—	2	1	no	—
140	C₂²×Q₈×C₈₃	—	2	1	no	—
141	C₂×Q₁₆×C₈₃	C₂³	1	1	yes	characteristic
142	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic
143	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic
144	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
145	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
146	C₂×D₈×C₈₃	C₂³	1	2	yes	—
147	C₄⋊Q₈×C₈₃	—	2	2	no	—
148	C₄⋊Q₈×C₈₃	—	2	1	no	—
149	C₄⋊Q₈×C₈₃	—	2	2	no	—
150	C₄⋊Q₈×C₈₃	—	2	1	no	—
151	C₄⋊Q₈×C₈₃	—	2	1	no	—
152	C₄⋊Q₈×C₈₃	—	2	2	no	—
153	C₄⋊Q₈×C₈₃	—	2	2	no	—
154	C₄⋊Q₈×C₈₃	—	2	1	no	—
155	C₄⋊Q₈×C₈₃	—	2	1	no	—
156	C₄⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
157	C₄⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
158	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
159	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
160	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
161	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
162	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
163	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
164	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
165	#127×C₈₃	C₂³	1	1	yes	characteristic
166	#127×C₈₃	C₂³	1	2	yes	—
167	#126×C₈₃	—	2	2	no	—
168	#126×C₈₃	—	2	1	no	—
169	#125×C₈₃	—	2	2	no	—
170	#125×C₈₃	—	2	2	no	—
171	#125×C₈₃	—	2	2	no	—
172	#125×C₈₃	—	2	2	no	—
173	#125×C₈₃	D₄	1	2	yes	—
174	#125×C₈₃	C₂³	1	2	yes	—
175	#125×C₈₃	C₂³	1	2	yes	—
176	#125×C₈₃	C₂³	1	2	yes	—
177	#125×C₈₃	C₂³	1	1	yes	characteristic
178	#124×C₈₃	—	2	1	no	—
179	#124×C₈₃	—	2	2	no	—
180	#124×C₈₃	—	2	2	no	—
181	#124×C₈₃	—	2	1	no	—
182	#124×C₈₃	C₂³	1	2	yes	—
183	#124×C₈₃	C₂³	1	1	yes	characteristic
184	#123×C₈₃	—	2	1	no	—
185	#123×C₈₃	—	2	2	no	—
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	C₂²⋊Q₈×C₈₃	—	2	1	no	—
192	C₂²⋊Q₈×C₈₃	—	2	1	no	—
193	C₂²⋊Q₈×C₈₃	—	2	2	no	—
194	C₂²⋊Q₈×C₈₃	—	2	2	no	—
195	C₂²⋊Q₈×C₈₃	—	2	2	no	—
196	C₂²⋊Q₈×C₈₃	—	2	2	no	—
197	C₂²⋊Q₈×C₈₃	—	2	2	no	—
198	C₂²⋊Q₈×C₈₃	—	2	2	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	—	2	2	no	—
203	C₂²⋊Q₈×C₈₃	—	2	2	no	—
204	C₂²⋊Q₈×C₈₃	—	2	2	no	—
205	C₂²⋊Q₈×C₈₃	—	2	2	no	—
206	C₂²⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
207	C₂²⋊Q₈×C₈₃	D₄	1	1	yes	characteristic
208	C₂²⋊Q₈×C₈₃	D₄	1	2	yes	—
209	C₂²⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
210	#121×C₈₃	—	2	1	no	—
211	#121×C₈₃	—	2	2	no	—
212	#121×C₈₃	—	2	1	no	—
213	#121×C₈₃	—	2	2	no	—
214	#121×C₈₃	—	2	2	no	—
215	#121×C₈₃	C₂³	1	1	yes	characteristic
216	#121×C₈₃	C₂³	1	2	yes	—
217	C₄×Q₈×C₈₃	—	2	1	no	—
218	C₄×Q₈×C₈₃	—	2	1	no	—
219	C₄×Q₈×C₈₃	—	2	2	no	—
220	C₄×Q₈×C₈₃	—	2	1	no	—
221	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
222	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
223	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
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	2	yes	—
228	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
230	C₄×D₄×C₈₃	—	2	1	no	—
231	C₄×D₄×C₈₃	—	2	1	no	—
232	C₄×D₄×C₈₃	—	2	1	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	1	no	—
238	C₄×D₄×C₈₃	C₂³	1	2	yes	—
239	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₈₃	C₂³	1	2	yes	—
241	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₈₃	C₂³	1	2	yes	—
244	C₄×D₄×C₈₃	C₂³	1	2	yes	—
245	C₄×D₄×C₈₃	C₂³	1	2	yes	—
246	C₄×D₄×C₈₃	C₂³	1	2	yes	—
247	#117×C₈₃	—	2	2	no	—
248	#117×C₈₃	—	2	1	no	—
249	#117×C₈₃	—	2	1	no	—
250	#117×C₈₃	C₂³	1	1	yes	characteristic
251	#117×C₈₃	C₂³	1	2	yes	—
252	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
253	C₂×C₄⋊C₄×C₈₃	—	2	2	no	—
254	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
255	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
256	C₂×C₄⋊C₄×C₈₃	—	2	2	no	—
257	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
258	C₂×C₄²×C₈₃	—	2	1	no	—
259	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
260	#107×C₈₃	C₂³	1	1	yes	characteristic
261	#107×C₈₃	C₂³	1	2	yes	—
262	#107×C₈₃	C₂³	1	2	yes	—
263	#107×C₈₃	C₂³	1	2	yes	—
264	#107×C₈₃	C₂³	1	1	yes	characteristic
265	#106×C₈₃	C₂³	1	2	yes	—
266	#106×C₈₃	C₂³	1	2	yes	—
267	#106×C₈₃	C₂³	1	2	yes	—
268	#106×C₈₃	C₂³	1	2	yes	—
269	#106×C₈₃	C₂³	1	2	yes	—
270	#106×C₈₃	C₂³	1	2	yes	—
271	#106×C₈₃	C₂³	1	1	yes	characteristic
272	#106×C₈₃	C₂³	1	2	yes	—
273	#106×C₈₃	C₂³	1	1	yes	characteristic
274	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
275	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
280	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
281	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
282	#103×C₈₃	C₂³	1	1	yes	characteristic
283	#103×C₈₃	C₂³	1	2	yes	—
284	#103×C₈₃	C₂³	1	2	yes	—
285	#103×C₈₃	C₂³	1	1	yes	characteristic
286	#103×C₈₃	C₂³	1	1	yes	characteristic
287	#103×C₈₃	C₂³	1	2	yes	—
288	#103×C₈₃	C₂³	1	1	yes	characteristic
289	#102×C₈₃	C₂³	1	1	yes	characteristic
290	#102×C₈₃	C₂³	1	2	yes	—
291	#102×C₈₃	C₂³	1	2	yes	—
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	2	yes	—
297	#102×C₈₃	C₂³	1	2	yes	—
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	1	yes	characteristic
304	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
313	#41×C₈₃	—	2	2	no	—
314	#41×C₈₃	—	8	2	no	—
315	#41×C₈₃	—	8	2	no	—
316	C₂×Q₈×C₈₃	—	2	1	no	—
317	C₂×Q₈×C₈₃	—	2	2	no	—
318	C₂×Q₈×C₈₃	—	2	2	no	—
319	C₂×Q₈×C₈₃	—	2	2	no	—
320	C₂×Q₈×C₈₃	—	2	2	no	—
321	C₂×Q₈×C₈₃	—	2	1	no	—
322	C₂×Q₈×C₈₃	—	2	1	no	—
323	C₂×Q₈×C₈₃	—	8	2	no	—
324	C₂×Q₈×C₈₃	—	8	2	no	—
325	C₂×Q₈×C₈₃	—	8	4	no	—
326	C₂×Q₈×C₈₃	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₈₃	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₈₃	C₂×D₄	1	2	yes	—
329	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
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	1	no	—
335	C₂×D₄×C₈₃	—	2	1	no	—
336	C₂×D₄×C₈₃	—	2	2	no	—
337	C₂×D₄×C₈₃	—	2	2	no	—
338	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
340	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₈₃	—	2	1	no	—
342	C₂²×C₄×C₈₃	—	2	2	no	—
343	C₂²×C₄×C₈₃	—	2	1	no	—
344	C₂²×C₄×C₈₃	—	2	1	no	—
345	C₂²×C₄×C₈₃	—	2	1	no	—
346	C₂²×C₄×C₈₃	—	2	2	no	—
347	C₂²×C₄×C₈₃	—	2	2	no	—
348	C₂²×C₄×C₈₃	—	2	2	no	—
349	C₂²×C₄×C₈₃	—	2	2	no	—
350	C₂²×C₄×C₈₃	—	2	2	no	—
351	C₂²×C₄×C₈₃	—	2	2	no	—
352	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
355	Q₁₆×C₈₃	—	2	2	no	—
356	SD₁₆×C₈₃	—	2	2	no	—
357	SD₁₆×C₈₃	—	2	4	no	—
358	SD₁₆×C₈₃	—	2	2	no	—
359	D₈×C₈₃	—	2	2	no	—
360	D₈×C₈₃	—	2	4	no	—
361	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
362	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
363	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
364	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
365	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
367	C₄⋊C₄×C₈₃	—	2	1	no	—
368	C₄⋊C₄×C₈₃	—	2	1	no	—
369	C₄⋊C₄×C₈₃	—	2	1	no	—
370	C₄⋊C₄×C₈₃	—	2	2	no	—
371	C₄⋊C₄×C₈₃	—	2	2	no	—
372	C₄⋊C₄×C₈₃	—	2	2	no	—
373	C₄⋊C₄×C₈₃	—	2	2	no	—
374	C₄⋊C₄×C₈₃	—	2	2	no	—
375	C₄⋊C₄×C₈₃	—	2	2	no	—
376	C₄⋊C₄×C₈₃	—	2	2	no	—
377	C₄⋊C₄×C₈₃	—	2	2	no	—
378	C₄⋊C₄×C₈₃	—	2	1	no	—
379	C₄⋊C₄×C₈₃	—	2	1	no	—
380	C₄⋊C₄×C₈₃	—	2	1	no	—
381	C₄⋊C₄×C₈₃	—	2	1	no	—
382	C₄⋊C₄×C₈₃	—	2	1	no	—
383	C₄⋊C₄×C₈₃	—	2	2	no	—
384	C₄⋊C₄×C₈₃	—	2	2	no	—
385	C₄⋊C₄×C₈₃	—	2	2	no	—
386	C₄⋊C₄×C₈₃	—	2	2	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	C₂×D₄	1	2	yes	—
391	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
392	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
393	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
394	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
395	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
396	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
397	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
398	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
399	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
400	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
401	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
406	C₂²⋊C₄×C₈₃	—	2	1	no	—
407	C₂²⋊C₄×C₈₃	—	2	1	no	—
408	C₂²⋊C₄×C₈₃	—	2	1	no	—
409	C₂²⋊C₄×C₈₃	—	2	1	no	—
410	C₂²⋊C₄×C₈₃	—	2	2	no	—
411	C₂²⋊C₄×C₈₃	—	2	2	no	—
412	C₂²⋊C₄×C₈₃	—	2	1	no	—
413	C₂²⋊C₄×C₈₃	—	2	1	no	—
414	C₂²⋊C₄×C₈₃	—	2	1	no	—
415	C₂²⋊C₄×C₈₃	—	2	2	no	—
416	C₂²⋊C₄×C₈₃	—	2	2	no	—
417	C₂²⋊C₄×C₈₃	—	2	2	no	—
418	C₂²⋊C₄×C₈₃	—	2	1	no	—
419	C₂²⋊C₄×C₈₃	—	2	2	no	—
420	C₂²⋊C₄×C₈₃	—	2	2	no	—
421	C₂²⋊C₄×C₈₃	—	2	2	no	—
422	C₂²⋊C₄×C₈₃	—	2	2	no	—
423	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
424	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
425	C₄²×C₈₃	—	2	1	no	—
426	C₄²×C₈₃	—	2	1	no	—
427	C₄²×C₈₃	—	2	1	no	—
428	C₄²×C₈₃	—	2	1	no	—
429	C₄²×C₈₃	—	2	2	no	—
430	C₄²×C₈₃	—	2	2	no	—
431	C₄²×C₈₃	—	2	2	no	—
432	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
433	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
434	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
435	C₄²×C₈₃	C₂⁴	1	2	yes	—
436	C₄²×C₈₃	C₂⁴	1	2	yes	—
437	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
438	C₂³×C₈₃	—	2	1	no	—
439	C₂³×C₈₃	—	2	2	no	—
440	C₂³×C₈₃	—	2	1	no	—
441	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
442	Q₈×C₈₃	—	2	2	no	—
443	Q₈×C₈₃	—	2	2	no	—
444	Q₈×C₈₃	—	2	1	no	—
445	Q₈×C₈₃	—	2	1	no	—
446	Q₈×C₈₃	—	2	1	no	—
447	Q₈×C₈₃	—	4	2	no	—
448	Q₈×C₈₃	—	4	4	no	—
449	Q₈×C₈₃	—	4	2	no	—
450	Q₈×C₈₃	—	8	1	no	—
451	Q₈×C₈₃	—	8	1	no	—
452	Q₈×C₈₃	—	8	2	no	—
453	Q₈×C₈₃	—	8	2	no	—
454	Q₈×C₈₃	—	8	2	no	—
455	Q₈×C₈₃	2₋¹⁺⁴	1	2	yes	—
456	D₄×C₈₃	—	2	4	no	—
457	D₄×C₈₃	—	2	1	no	—
458	D₄×C₈₃	—	2	1	no	—
459	D₄×C₈₃	—	2	2	no	—
460	D₄×C₈₃	—	2	1	no	—
461	D₄×C₈₃	—	2	2	no	—
462	D₄×C₈₃	—	4	2	no	—
463	D₄×C₈₃	—	8	1	no	—
464	D₄×C₈₃	—	8	2	no	—
465	D₄×C₈₃	—	8	2	no	—
466	D₄×C₈₃	—	8	1	no	—
467	D₄×C₈₃	—	8	2	no	—
468	D₄×C₈₃	2₋¹⁺⁴	1	2	yes	—
469	C₂×C₄×C₈₃	—	2	4	no	—
470	C₂×C₄×C₈₃	—	2	1	no	—
471	C₂×C₄×C₈₃	—	2	2	no	—
472	C₂×C₄×C₈₃	—	2	1	no	—
473	C₂×C₄×C₈₃	—	2	1	no	—
474	C₂×C₄×C₈₃	—	2	1	no	—
475	C₂×C₄×C₈₃	—	2	1	no	—
476	C₂×C₄×C₈₃	—	2	1	no	—
477	C₂×C₄×C₈₃	—	2	1	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	1	no	—
482	C₂×C₄×C₈₃	—	4	1	no	—
483	C₂×C₄×C₈₃	—	4	2	no	—
484	C₂×C₄×C₈₃	—	4	2	no	—
485	C₂×C₄×C₈₃	—	4	2	no	—
486	C₂×C₄×C₈₃	—	8	2	no	—
487	C₂×C₄×C₈₃	—	8	2	no	—
488	C₂×C₄×C₈₃	—	8	2	no	—
489	C₂×C₄×C₈₃	—	8	2	no	—
490	C₂×C₄×C₈₃	—	8	2	no	—
491	C₂×C₄×C₈₃	—	8	2	no	—
492	C₂×C₄×C₈₃	—	8	2	no	—
493	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
494	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
495	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
496	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
497	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
498	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
499	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
500	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
501	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
502	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
503	C₈×C₈₃	—	2	1	no	—
504	C₈×C₈₃	—	2	2	no	—
505	C₈×C₈₃	—	2	1	no	—
506	C₈×C₈₃	—	2	2	no	—
507	C₈×C₈₃	—	2	1	no	—
508	C₈×C₈₃	—	2	1	no	—
509	C₂²×C₈₃	—	2	1	no	—
510	C₂²×C₈₃	—	2	1	no	—
511	C₂²×C₈₃	—	2	2	no	—
512	C₂²×C₈₃	—	2	1	no	—
513	C₂²×C₈₃	—	4	1	no	—
514	C₂²×C₈₃	—	4	1	no	—
515	C₂²×C₈₃	—	4	2	no	—
516	C₂²×C₈₃	—	4	1	no	—
517	C₂²×C₈₃	—	4	2	no	—
518	C₂²×C₈₃	—	4	1	no	—
519	C₂²×C₈₃	—	4	1	no	—
520	C₂²×C₈₃	—	4	2	no	—
521	C₂²×C₈₃	C₂³×D₄	1	1	yes	characteristic
522	C₄×C₈₃	—	2	1	no	—
523	C₄×C₈₃	—	2	1	no	—
524	C₄×C₈₃	—	2	2	no	—
525	C₄×C₈₃	—	2	2	no	—
526	C₄×C₈₃	—	2	1	no	—
527	C₄×C₈₃	—	2	2	no	—
528	C₄×C₈₃	—	2	1	no	—
529	C₄×C₈₃	—	2	2	no	—
530	C₄×C₈₃	—	2	2	no	—
531	C₄×C₈₃	—	4	1	no	—
532	C₄×C₈₃	—	4	1	no	—
533	C₄×C₈₃	—	4	2	no	—
534	C₄×C₈₃	—	4	2	no	—
535	C₄×C₈₃	—	4	1	no	—
536	C₄×C₈₃	—	4	1	no	—
537	C₄×C₈₃	—	4	1	no	—
538	C₄×C₈₃	—	4	2	no	—
539	C₄×C₈₃	#577	1	2	yes	—
540	C₄×C₈₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
541	C₄×C₈₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
542	#61860	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
543	C₂×C₈₃	—	4	1	no	—
544	C₂×C₈₃	—	4	2	no	—
545	C₂×C₈₃	—	8	2	no	—
546	C₂×C₈₃	—	8	1	no	—
547	C₂×C₈₃	#3486	1	1	yes	characteristic
548	C₂×C₈₃	C₂×#577	1	1	yes	characteristic
549	C₂×C₈₃	#3585	1	1	yes	characteristic
550	#3554	C₂×C₈₃	1	1	yes	characteristic, complemented
551	#3503	C₂×C₈₃	1	1	yes	characteristic, complemented
552	#3388	C₂×C₈₃	1	2	yes	complemented
553	#3387	C₂×C₈₃	1	1	yes	characteristic, complemented
554	#3384	C₂×C₈₃	1	2	yes	complemented
555	#3384	C₂×C₈₃	1	1	yes	characteristic, complemented
556	#3381	C₂×C₈₃	1	1	yes	characteristic, complemented
557	Q₈×SD₁₆	C₂×C₈₃	1	1	yes	characteristic, complemented
558	#3375	C₂×C₈₃	1	1	yes	characteristic, complemented
559	#3373	C₂×C₈₃	1	2	yes	complemented
560	#3371	C₂×C₈₃	1	2	yes	complemented
561	#3366	C₂×C₈₃	1	1	yes	characteristic, complemented
562	#3362	C₂×C₈₃	1	1	yes	characteristic, complemented
563	#3361	C₂×C₈₃	1	1	yes	characteristic, complemented
564	#3244	C₂×C₈₃	1	2	yes	complemented
565	#3241	C₂×C₈₃	1	2	yes	complemented
566	#3238	C₂×C₈₃	1	1	yes	characteristic, complemented
567	#3227	C₂×C₈₃	1	1	yes	characteristic, complemented
568	#3125	C₂×C₈₃	1	2	yes	complemented
569	#3119	C₂×C₈₃	1	2	yes	complemented
570	#3115	C₂×C₈₃	1	1	yes	characteristic, complemented
571	#3102	C₂×C₈₃	1	1	yes	characteristic, complemented
572	#2985	C₂×C₈₃	1	1	yes	characteristic, complemented
573	C₈₃	#61860	1	1	yes	characteristic, direct product factor, Sylow
574	#562	—	2	2	no	—
575	#559	C₂²×C₈₃	1	1	yes	characteristic
576	#559	C₂²×C₈₃	1	2	yes	—
577	Q₈²	C₂²×C₈₃	1	1	yes	characteristic
578	Q₈²	C₂²×C₈₃	1	1	yes	characteristic
579	#557	C₂²×C₈₃	1	2	yes	—
580	#557	C₂²×C₈₃	1	1	yes	characteristic
581	#554	—	2	1	no	—
582	#554	—	2	1	no	—
583	#554	C₂²×C₈₃	1	1	yes	characteristic
584	#554	C₂²×C₈₃	1	1	yes	characteristic
585	#554	C₂²×C₈₃	1	2	yes	—
586	#550	C₂²×C₈₃	1	1	yes	characteristic
587	D₄×Q₈	—	2	2	no	—
588	D₄×Q₈	C₂²×C₈₃	1	2	yes	—
589	D₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic
590	#548	—	2	1	no	—
591	#547	—	2	1	no	—
592	#544	—	2	2	no	—
593	#544	C₂²×C₈₃	1	2	yes	—
594	#542	—	2	1	no	—
595	#542	C₂²×C₈₃	1	2	yes	—
596	#540	C₂²×C₈₃	1	2	yes	—
597	#539	—	2	2	no	—
598	#536	—	2	1	no	—
599	#533	—	2	1	no	—
600	#533	C₂²×C₈₃	1	1	yes	characteristic
601	#532	C₂²×C₈₃	1	1	yes	characteristic
602	C₂×C₄⋊Q₈	—	2	1	no	—
603	C₂×C₄⋊Q₈	C₂²×C₈₃	1	1	yes	characteristic
604	#529	C₂²×C₈₃	1	1	yes	characteristic
605	#520	C₂²×C₈₃	1	2	yes	—
606	C₄×#41	C₂²×C₈₃	1	1	yes	characteristic
607	#501	C₂²×C₈₃	1	2	yes	—
608	#501	C₂²×C₈₃	1	2	yes	—
609	#501	C₂²×C₈₃	1	2	yes	—
610	#499	C₂²×C₈₃	1	2	yes	—
611	#498	C₂²×C₈₃	1	1	yes	characteristic
612	#498	C₂²×C₈₃	1	2	yes	—
613	#498	C₂²×C₈₃	1	1	yes	characteristic
614	#490	C₂²×C₈₃	1	2	yes	—
615	#489	C₂²×C₈₃	1	2	yes	—
616	#489	C₂²×C₈₃	1	2	yes	—
617	#488	C₂²×C₈₃	1	2	yes	—
618	#486	C₂²×C₈₃	1	1	yes	characteristic
619	#486	C₂²×C₈₃	1	2	yes	—
620	#486	C₂²×C₈₃	1	1	yes	characteristic
621	#485	C₂²×C₈₃	1	1	yes	characteristic
622	#483	C₂²×C₈₃	1	2	yes	—
623	#482	C₂²×C₈₃	1	1	yes	characteristic
624	#482	C₂²×C₈₃	1	2	yes	—
625	#481	C₂²×C₈₃	1	2	yes	—
626	#481	C₂²×C₈₃	1	2	yes	—
627	#480	C₂²×C₈₃	1	2	yes	—
628	#479	C₂²×C₈₃	1	1	yes	characteristic
629	#479	C₂²×C₈₃	1	2	yes	—
630	#479	C₂²×C₈₃	1	2	yes	—
631	#478	C₂²×C₈₃	1	1	yes	characteristic
632	#478	C₂²×C₈₃	1	2	yes	—
633	#478	C₂²×C₈₃	1	2	yes	—
634	#478	C₂²×C₈₃	1	2	yes	—
635	#478	C₂²×C₈₃	1	2	yes	—
636	#477	C₂²×C₈₃	1	1	yes	characteristic
637	#477	C₂²×C₈₃	1	1	yes	characteristic
638	#476	C₂²×C₈₃	1	1	yes	characteristic
639	#476	C₂²×C₈₃	1	2	yes	—
640	#476	C₂²×C₈₃	1	1	yes	characteristic
641	#476	C₂²×C₈₃	1	2	yes	—
642	#476	C₂²×C₈₃	1	2	yes	—
643	#476	C₂²×C₈₃	1	2	yes	—
644	#476	C₂²×C₈₃	1	2	yes	—
645	#475	C₂²×C₈₃	1	1	yes	characteristic
646	#475	C₂²×C₈₃	1	2	yes	—
647	#475	C₂²×C₈₃	1	2	yes	—
648	#474	C₂²×C₈₃	1	1	yes	characteristic
649	#474	C₂²×C₈₃	1	2	yes	—
650	#464	C₂²×C₈₃	1	1	yes	characteristic
651	#464	C₂²×C₈₃	1	2	yes	—
652	#463	C₂²×C₈₃	1	1	yes	characteristic
653	#463	C₂²×C₈₃	1	2	yes	—
654	#460	C₂²×C₈₃	1	1	yes	characteristic
655	#460	C₂²×C₈₃	1	2	yes	—
656	#459	C₂²×C₈₃	1	1	yes	characteristic
657	#459	C₂²×C₈₃	1	2	yes	—
658	#452	C₂²×C₈₃	1	1	yes	characteristic
659	#449	C₂²×C₈₃	1	1	yes	characteristic
660	#449	C₂²×C₈₃	1	2	yes	—
661	#446	C₂²×C₈₃	1	1	yes	characteristic
662	#446	C₂²×C₈₃	1	2	yes	—
663	#446	C₂²×C₈₃	1	2	yes	—
664	#446	C₂²×C₈₃	1	1	yes	characteristic
665	C₈×Q₈	C₂²×C₈₃	1	1	yes	characteristic
666	C₈×Q₈	C₂²×C₈₃	1	1	yes	characteristic
667	#442	C₂²×C₈₃	1	2	yes	—
668	#442	C₂²×C₈₃	1	2	yes	—
669	#442	C₂²×C₈₃	1	2	yes	—
670	#441	C₂²×C₈₃	1	2	yes	—
671	#440	C₂²×C₈₃	1	2	yes	—
672	#440	C₂²×C₈₃	1	2	yes	—
673	C₄×Q₁₆	C₂²×C₈₃	1	1	yes	characteristic
674	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
675	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
676	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
677	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
678	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
679	C₄×D₈	C₂²×C₈₃	1	1	yes	characteristic
680	C₄×D₈	C₂²×C₈₃	1	2	yes	—
681	#433	C₂²×C₈₃	1	2	yes	—
682	#433	C₂²×C₈₃	1	2	yes	—
683	#432	C₂²×C₈₃	1	1	yes	characteristic
684	#431	C₂²×C₈₃	1	1	yes	characteristic
685	C₂×#41	—	2	1	no	—
686	C₂×#41	—	2	1	no	—
687	C₂×#41	C₂³×C₈₃	1	1	yes	characteristic
688	C₂²×Q₈	—	2	2	no	—
689	C₂²×Q₈	—	2	1	no	—
690	C₂²×Q₈	—	2	1	no	—
691	C₂×Q₁₆	C₂³×C₈₃	1	1	yes	characteristic
692	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
693	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
694	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
695	C₂×D₈	C₂³×C₈₃	1	1	yes	characteristic
696	C₂×D₈	C₂³×C₈₃	1	2	yes	—
697	C₄⋊Q₈	—	2	2	no	—
698	C₄⋊Q₈	—	2	1	no	—
699	C₄⋊Q₈	—	2	2	no	—
700	C₄⋊Q₈	—	2	1	no	—
701	C₄⋊Q₈	—	2	1	no	—
702	C₄⋊Q₈	—	2	2	no	—
703	C₄⋊Q₈	—	2	2	no	—
704	C₄⋊Q₈	—	2	1	no	—
705	C₄⋊Q₈	—	2	1	no	—
706	C₄⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
707	C₄⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
708	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
709	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
710	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
711	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
712	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
713	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
714	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
715	#127	C₂³×C₈₃	1	1	yes	characteristic
716	#127	C₂³×C₈₃	1	2	yes	—
717	#126	—	2	2	no	—
718	#126	—	2	1	no	—
719	#125	—	2	2	no	—
720	#125	—	2	2	no	—
721	#125	—	2	2	no	—
722	#125	—	2	2	no	—
723	#125	D₄×C₈₃	1	2	yes	—
724	#125	C₂³×C₈₃	1	1	yes	characteristic
725	#125	C₂³×C₈₃	1	2	yes	—
726	#125	C₂³×C₈₃	1	2	yes	—
727	#125	C₂³×C₈₃	1	2	yes	—
728	#124	—	2	1	no	—
729	#124	—	2	2	no	—
730	#124	—	2	2	no	—
731	#124	—	2	1	no	—
732	#124	C₂³×C₈₃	1	1	yes	characteristic
733	#124	C₂³×C₈₃	1	2	yes	—
734	#123	—	2	1	no	—
735	#123	—	2	2	no	—
736	#123	—	2	2	no	—
737	#123	—	2	2	no	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	C₂²⋊Q₈	—	2	1	no	—
742	C₂²⋊Q₈	—	2	1	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	2	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
757	C₂²⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
758	C₂²⋊Q₈	D₄×C₈₃	1	2	yes	—
759	C₂²⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
760	#121	—	2	1	no	—
761	#121	—	2	2	no	—
762	#121	—	2	1	no	—
763	#121	—	2	2	no	—
764	#121	—	2	2	no	—
765	#121	C₂³×C₈₃	1	1	yes	characteristic
766	#121	C₂³×C₈₃	1	2	yes	—
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	1	no	—
769	C₄×Q₈	—	2	2	no	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
772	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
773	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
774	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
775	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
776	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
777	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
778	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
779	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
780	C₄×D₄	—	2	1	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	2	2	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	2	no	—
786	C₄×D₄	—	2	2	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
789	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
790	C₄×D₄	C₂³×C₈₃	1	2	yes	—
791	C₄×D₄	C₂³×C₈₃	1	2	yes	—
792	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
793	C₄×D₄	C₂³×C₈₃	1	2	yes	—
794	C₄×D₄	C₂³×C₈₃	1	2	yes	—
795	C₄×D₄	C₂³×C₈₃	1	2	yes	—
796	C₄×D₄	C₂³×C₈₃	1	2	yes	—
797	#117	—	2	2	no	—
798	#117	—	2	1	no	—
799	#117	—	2	1	no	—
800	#117	C₂³×C₈₃	1	1	yes	characteristic
801	#117	C₂³×C₈₃	1	2	yes	—
802	C₂×C₄⋊C₄	—	2	1	no	—
803	C₂×C₄⋊C₄	—	2	2	no	—
804	C₂×C₄⋊C₄	—	2	1	no	—
805	C₂×C₄⋊C₄	—	2	1	no	—
806	C₂×C₄⋊C₄	—	2	2	no	—
807	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
808	C₂×C₄²	—	2	1	no	—
809	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
810	#107	C₂³×C₈₃	1	2	yes	—
811	#107	C₂³×C₈₃	1	1	yes	characteristic
812	#107	C₂³×C₈₃	1	1	yes	characteristic
813	#107	C₂³×C₈₃	1	2	yes	—
814	#107	C₂³×C₈₃	1	2	yes	—
815	#106	C₂³×C₈₃	1	2	yes	—
816	#106	C₂³×C₈₃	1	2	yes	—
817	#106	C₂³×C₈₃	1	1	yes	characteristic
818	#106	C₂³×C₈₃	1	2	yes	—
819	#106	C₂³×C₈₃	1	1	yes	characteristic
820	#106	C₂³×C₈₃	1	2	yes	—
821	#106	C₂³×C₈₃	1	2	yes	—
822	#106	C₂³×C₈₃	1	2	yes	—
823	#106	C₂³×C₈₃	1	2	yes	—
824	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
825	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
826	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
827	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
828	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
829	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
830	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
831	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
832	#103	C₂³×C₈₃	1	1	yes	characteristic
833	#103	C₂³×C₈₃	1	2	yes	—
834	#103	C₂³×C₈₃	1	2	yes	—
835	#103	C₂³×C₈₃	1	1	yes	characteristic
836	#103	C₂³×C₈₃	1	1	yes	characteristic
837	#103	C₂³×C₈₃	1	1	yes	characteristic
838	#103	C₂³×C₈₃	1	2	yes	—
839	#102	C₂³×C₈₃	1	1	yes	characteristic
840	#102	C₂³×C₈₃	1	1	yes	characteristic
841	#102	C₂³×C₈₃	1	2	yes	—
842	#102	C₂³×C₈₃	1	1	yes	characteristic
843	#102	C₂³×C₈₃	1	2	yes	—
844	#102	C₂³×C₈₃	1	2	yes	—
845	#102	C₂³×C₈₃	1	1	yes	characteristic
846	#102	C₂³×C₈₃	1	2	yes	—
847	#102	C₂³×C₈₃	1	2	yes	—
848	#102	C₂³×C₈₃	1	2	yes	—
849	#102	C₂³×C₈₃	1	2	yes	—
850	#102	C₂³×C₈₃	1	2	yes	—
851	#102	C₂³×C₈₃	1	2	yes	—
852	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
853	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
854	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
855	#97	C₂³×C₈₃	1	2	yes	—
856	#97	C₂³×C₈₃	1	2	yes	—
857	#97	C₂³×C₈₃	1	2	yes	—
858	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
859	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
860	C₄×C₈	C₂³×C₈₃	1	2	yes	—
861	C₄×C₈	C₂³×C₈₃	1	2	yes	—
862	#41	—	2	2	no	—
863	#41	—	2	2	no	—
864	#41	—	8	2	no	—
865	#41	—	8	2	no	—
866	C₂×Q₈	—	2	1	no	—
867	C₂×Q₈	—	2	2	no	—
868	C₂×Q₈	—	2	2	no	—
869	C₂×Q₈	—	2	2	no	—
870	C₂×Q₈	—	2	2	no	—
871	C₂×Q₈	—	2	1	no	—
872	C₂×Q₈	—	2	1	no	—
873	C₂×Q₈	—	8	2	no	—
874	C₂×Q₈	—	8	2	no	—
875	C₂×Q₈	—	8	4	no	—
876	C₂×Q₈	C₂×D₄×C₈₃	1	1	yes	characteristic
877	C₂×Q₈	C₂×D₄×C₈₃	1	1	yes	characteristic
878	C₂×Q₈	C₂×D₄×C₈₃	1	2	yes	—
879	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
880	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
881	C₂×D₄	—	2	1	no	—
882	C₂×D₄	—	2	1	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	1	no	—
885	C₂×D₄	—	2	1	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
889	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
890	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	2	2	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
903	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
904	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
905	Q₁₆	—	2	2	no	—
906	SD₁₆	—	2	2	no	—
907	SD₁₆	—	2	4	no	—
908	SD₁₆	—	2	2	no	—
909	D₈	—	2	2	no	—
910	D₈	—	2	4	no	—
911	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
912	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
913	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
914	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
915	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
916	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
917	C₄⋊C₄	—	2	1	no	—
918	C₄⋊C₄	—	2	1	no	—
919	C₄⋊C₄	—	2	1	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
941	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
942	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
943	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
944	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
945	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
946	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
947	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
948	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
949	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
950	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
951	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
952	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
953	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
954	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
955	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
956	C₂²⋊C₄	—	2	1	no	—
957	C₂²⋊C₄	—	2	1	no	—
958	C₂²⋊C₄	—	2	1	no	—
959	C₂²⋊C₄	—	2	1	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	1	no	—
964	C₂²⋊C₄	—	2	1	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
974	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
975	C₄²	—	2	1	no	—
976	C₄²	—	2	1	no	—
977	C₄²	—	2	1	no	—
978	C₄²	—	2	1	no	—
979	C₄²	—	2	2	no	—
980	C₄²	—	2	2	no	—
981	C₄²	—	2	2	no	—
982	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
983	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
984	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
985	C₄²	C₂⁴×C₈₃	1	2	yes	—
986	C₄²	C₂⁴×C₈₃	1	2	yes	—
987	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
988	C₂³	—	2	1	no	—
989	C₂³	—	2	1	no	—
990	C₂³	—	2	2	no	—
991	C₂³	C₂²×D₄×C₈₃	1	1	yes	characteristic
992	Q₈	—	2	2	no	—
993	Q₈	—	2	2	no	—
994	Q₈	—	2	1	no	—
995	Q₈	—	2	1	no	—
996	Q₈	—	2	1	no	—
997	Q₈	—	4	2	no	—
998	Q₈	—	4	4	no	—
999	Q₈	—	4	2	no	—
1000	Q₈	—	8	2	no	—
1001	Q₈	—	8	1	no	—
1002	Q₈	—	8	1	no	—
1003	Q₈	—	8	2	no	—
1004	Q₈	—	8	2	no	—
1005	Q₈	2₋¹⁺⁴×C₈₃	1	2	yes	—
1006	D₄	—	2	4	no	—
1007	D₄	—	2	1	no	—
1008	D₄	—	2	2	no	—
1009	D₄	—	2	1	no	—
1010	D₄	—	2	1	no	—
1011	D₄	—	2	2	no	—
1012	D₄	—	4	2	no	—
1013	D₄	—	8	2	no	—
1014	D₄	—	8	1	no	—
1015	D₄	—	8	2	no	—
1016	D₄	—	8	2	no	—
1017	D₄	—	8	1	no	—
1018	D₄	2₋¹⁺⁴×C₈₃	1	2	yes	—
1019	C₂×C₄	—	2	4	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	4	1	no	—
1033	C₂×C₄	—	4	2	no	—
1034	C₂×C₄	—	4	2	no	—
1035	C₂×C₄	—	4	2	no	—
1036	C₂×C₄	—	8	2	no	—
1037	C₂×C₄	—	8	2	no	—
1038	C₂×C₄	—	8	2	no	—
1039	C₂×C₄	—	8	2	no	—
1040	C₂×C₄	—	8	2	no	—
1041	C₂×C₄	—	8	2	no	—
1042	C₂×C₄	—	8	2	no	—
1043	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1044	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1045	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1046	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1047	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1048	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1049	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1050	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1051	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1052	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1053	C₈	—	2	1	no	—
1054	C₈	—	2	2	no	—
1055	C₈	—	2	1	no	—
1056	C₈	—	2	2	no	—
1057	C₈	—	2	1	no	—
1058	C₈	—	2	1	no	—
1059	C₂²	—	2	1	no	—
1060	C₂²	—	2	1	no	—
1061	C₂²	—	2	1	no	—
1062	C₂²	—	2	2	no	—
1063	C₂²	—	4	1	no	—
1064	C₂²	—	4	1	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	4	1	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	C₂³×D₄×C₈₃	1	1	yes	characteristic
1072	C₄	—	2	1	no	—
1073	C₄	—	2	2	no	—
1074	C₄	—	2	2	no	—
1075	C₄	—	2	1	no	—
1076	C₄	—	2	1	no	—
1077	C₄	—	2	2	no	—
1078	C₄	—	2	2	no	—
1079	C₄	—	2	1	no	—
1080	C₄	—	2	2	no	—
1081	C₄	—	4	1	no	—
1082	C₄	—	4	1	no	—
1083	C₄	—	4	2	no	—
1084	C₄	—	4	1	no	—
1085	C₄	—	4	1	no	—
1086	C₄	—	4	2	no	—
1087	C₄	—	4	2	no	—
1088	C₄	—	4	1	no	—
1089	C₄	#577×C₈₃	1	2	yes	—
1090	C₄	C₂×2₋¹⁺⁴×C₈₃	1	1	yes	characteristic
1091	C₄	C₂×2₋¹⁺⁴×C₈₃	1	1	yes	characteristic
1092	C₂	—	4	1	no	—
1093	C₂	—	4	2	no	—
1094	C₂	—	8	1	no	—
1095	C₂	—	8	2	no	—
1096	C₂	C₈₃×#3486	1	1	yes	characteristic
1097	C₂	C₂×#577×C₈₃	1	1	yes	characteristic
1098	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 ◁ #533×C₈₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₃×#3554	C₂	semidirect
2. C₈₃×#3503	C₂	semidirect
3. C₈₃×#3388	C₂	semidirect
4. C₈₃×#3387	C₂	semidirect
5. C₈₃×#3384	C₂	semidirect
6. C₈₃×#3384	C₂	semidirect
7. C₈₃×#3381	C₂	semidirect
8. Q₈×SD₁₆×C₈₃	C₂	semidirect
9. C₈₃×#3375	C₂	semidirect
10. C₈₃×#3373	C₂	semidirect
11. C₈₃×#3371	C₂	semidirect
12. C₈₃×#3366	C₂	semidirect
13. C₈₃×#3362	C₂	semidirect
14. C₈₃×#3361	C₂	semidirect
15. C₈₃×#3244	C₂	semidirect
16. C₈₃×#3241	C₂	semidirect
17. C₈₃×#3238	C₂	semidirect
18. C₈₃×#3227	C₂	semidirect
19. C₈₃×#3125	C₂	semidirect
20. C₈₃×#3119	C₂	semidirect
21. C₈₃×#3115	C₂	semidirect
22. C₈₃×#3102	C₂	semidirect
23. C₈₃×#2985	C₂	semidirect
542. #61860	C₈₃	direct (N × H)
550. #3554	C₂×C₈₃	semidirect
551. #3503	C₂×C₈₃	semidirect
552. #3388	C₂×C₈₃	semidirect
553. #3387	C₂×C₈₃	semidirect
554. #3384	C₂×C₈₃	semidirect
555. #3384	C₂×C₈₃	semidirect
556. #3381	C₂×C₈₃	semidirect
557. Q₈×SD₁₆	C₂×C₈₃	semidirect
558. #3375	C₂×C₈₃	semidirect
559. #3373	C₂×C₈₃	semidirect
560. #3371	C₂×C₈₃	semidirect
561. #3366	C₂×C₈₃	semidirect
562. #3362	C₂×C₈₃	semidirect
563. #3361	C₂×C₈₃	semidirect
564. #3244	C₂×C₈₃	semidirect
565. #3241	C₂×C₈₃	semidirect
566. #3238	C₂×C₈₃	semidirect
567. #3227	C₂×C₈₃	semidirect
568. #3125	C₂×C₈₃	semidirect
569. #3119	C₂×C₈₃	semidirect
570. #3115	C₂×C₈₃	semidirect
571. #3102	C₂×C₈₃	semidirect
572. #2985	C₂×C₈₃	semidirect
573. C₈₃	#61860	direct (N × H)

Maximal subgroups

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

subgroup	index
C₈₃×#3554	2
C₈₃×#3503	2
C₈₃×#3388	2
C₈₃×#3387	2
C₈₃×#3384	2
C₈₃×#3381	2
Q₈×SD₁₆×C₈₃	2
C₈₃×#3375	2
C₈₃×#3373	2
C₈₃×#3371	2
C₈₃×#3366	2
C₈₃×#3362	2
C₈₃×#3361	2
C₈₃×#3244	2
C₈₃×#3241	2
C₈₃×#3238	2
C₈₃×#3227	2
C₈₃×#3125	2
C₈₃×#3119	2
C₈₃×#3115	2
C₈₃×#3102	2
C₈₃×#2985	2
#61860	83

Subgroups — C83×#61860 #35289684

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#61860 #35289684