Subgroups — C₈₃×#62194 #35290018

Order 21248.

1738 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×#3522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₃×#3385	C₂	1	1	yes	maximal, characteristic, complemented
4	Q₈×SD₁₆×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₃×#3357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₃×#3354	C₂	1	2	yes	maximal, complemented
9	C₈₃×#3345	C₂	1	2	yes	maximal, complemented
10	C₈₃×#3335	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₃×#3332	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₃×#3326	C₂	1	2	yes	maximal, complemented
13	C₈₃×#3321	C₂	1	2	yes	maximal, complemented
14	C₈₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₃×#3257	C₂	1	2	yes	maximal, complemented
16	C₈₃×#3253	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₃×#3244	C₂	1	2	yes	maximal, complemented
18	C₈₃×#3228	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₃×#3119	C₂	1	2	yes	maximal, complemented
20	C₈₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₃×#3084	C₂	1	2	yes	maximal, complemented
22	C₈₃×#3078	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₃×#2993	C₂	1	1	yes	maximal, characteristic, complemented
24	#562×C₈₃	—	2	2	no	—
25	#559×C₈₃	—	2	1	no	—
26	#559×C₈₃	C₂²	1	1	yes	characteristic
27	Q₈²×C₈₃	C₂²	1	1	yes	characteristic
28	#555×C₈₃	C₂²	1	1	yes	characteristic
29	#555×C₈₃	C₂²	1	2	yes	—
30	#554×C₈₃	—	2	1	no	—
31	#554×C₈₃	C₂²	1	1	yes	characteristic
32	#554×C₈₃	C₂²	1	1	yes	characteristic
33	#553×C₈₃	C₂²	1	2	yes	—
34	#552×C₈₃	—	2	1	no	—
35	#550×C₈₃	C₂²	1	1	yes	characteristic
36	D₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic
37	#548×C₈₃	—	2	1	no	—
38	#548×C₈₃	C₂²	1	2	yes	—
39	#547×C₈₃	—	2	2	no	—
40	#547×C₈₃	C₂²	1	1	yes	characteristic
41	#547×C₈₃	C₂²	1	2	yes	—
42	#544×C₈₃	C₂²	1	2	yes	—
43	#542×C₈₃	—	2	2	no	—
44	#542×C₈₃	—	2	2	no	—
45	#542×C₈₃	C₂²	1	2	yes	—
46	#540×C₈₃	C₂²	1	2	yes	—
47	#537×C₈₃	—	2	1	no	—
48	#536×C₈₃	—	2	1	no	—
49	#533×C₈₃	C₂²	1	1	yes	characteristic
50	#532×C₈₃	—	2	1	no	—
51	#532×C₈₃	C₂²	1	1	yes	characteristic
52	#532×C₈₃	C₂²	1	1	yes	characteristic
53	#529×C₈₃	—	2	1	no	—
54	#529×C₈₃	C₂²	1	1	yes	characteristic
55	#520×C₈₃	C₂²	1	2	yes	—
56	C₂×C₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic
57	#501×C₈₃	C₂²	1	2	yes	—
58	#500×C₈₃	C₂²	1	1	yes	characteristic
59	#498×C₈₃	C₂²	1	1	yes	characteristic
60	#498×C₈₃	C₂²	1	2	yes	—
61	#489×C₈₃	C₂²	1	2	yes	—
62	#488×C₈₃	C₂²	1	2	yes	—
63	#486×C₈₃	C₂²	1	1	yes	characteristic
64	#486×C₈₃	C₂²	1	1	yes	characteristic
65	#485×C₈₃	C₂²	1	2	yes	—
66	#483×C₈₃	C₂²	1	2	yes	—
67	#482×C₈₃	C₂²	1	2	yes	—
68	#482×C₈₃	C₂²	1	2	yes	—
69	#482×C₈₃	C₂²	1	2	yes	—
70	#481×C₈₃	C₂²	1	2	yes	—
71	#481×C₈₃	C₂²	1	2	yes	—
72	#481×C₈₃	C₂²	1	1	yes	characteristic
73	#481×C₈₃	C₂²	1	1	yes	characteristic
74	#480×C₈₃	C₂²	1	2	yes	—
75	#479×C₈₃	C₂²	1	2	yes	—
76	#479×C₈₃	C₂²	1	2	yes	—
77	#479×C₈₃	C₂²	1	2	yes	—
78	#478×C₈₃	C₂²	1	2	yes	—
79	#478×C₈₃	C₂²	1	2	yes	—
80	#478×C₈₃	C₂²	1	2	yes	—
81	#477×C₈₃	C₂²	1	1	yes	characteristic
82	#477×C₈₃	C₂²	1	1	yes	characteristic
83	#476×C₈₃	C₂²	1	1	yes	characteristic
84	#476×C₈₃	C₂²	1	2	yes	—
85	#476×C₈₃	C₂²	1	2	yes	—
86	#476×C₈₃	C₂²	1	2	yes	—
87	#476×C₈₃	C₂²	1	1	yes	characteristic
88	#475×C₈₃	C₂²	1	2	yes	—
89	#475×C₈₃	C₂²	1	1	yes	characteristic
90	#475×C₈₃	C₂²	1	1	yes	characteristic
91	#475×C₈₃	C₂²	1	1	yes	characteristic
92	#475×C₈₃	C₂²	1	1	yes	characteristic
93	#474×C₈₃	C₂²	1	2	yes	—
94	#469×C₈₃	C₂²	1	2	yes	—
95	#469×C₈₃	C₂²	1	2	yes	—
96	#469×C₈₃	C₂²	1	2	yes	—
97	#468×C₈₃	C₂²	1	2	yes	—
98	#466×C₈₃	C₂²	1	2	yes	—
99	#465×C₈₃	C₂²	1	2	yes	—
100	#463×C₈₃	C₂²	1	2	yes	—
101	#463×C₈₃	C₂²	1	2	yes	—
102	#460×C₈₃	C₂²	1	1	yes	characteristic
103	#460×C₈₃	C₂²	1	1	yes	characteristic
104	#459×C₈₃	C₂²	1	1	yes	characteristic
105	#459×C₈₃	C₂²	1	1	yes	characteristic
106	#459×C₈₃	C₂²	1	2	yes	—
107	#449×C₈₃	C₂²	1	2	yes	—
108	#449×C₈₃	C₂²	1	2	yes	—
109	#448×C₈₃	C₂²	1	1	yes	characteristic
110	#448×C₈₃	C₂²	1	1	yes	characteristic
111	#446×C₈₃	C₂²	1	1	yes	characteristic
112	C₈×Q₈×C₈₃	C₂²	1	1	yes	characteristic
113	#442×C₈₃	C₂²	1	2	yes	—
114	#440×C₈₃	C₂²	1	2	yes	—
115	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
116	C₄×SD₁₆×C₈₃	C₂²	1	2	yes	—
117	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
120	C₄×D₈×C₈₃	C₂²	1	2	yes	—
121	#436×C₈₃	C₂²	1	2	yes	—
122	#436×C₈₃	C₂²	1	1	yes	characteristic
123	#435×C₈₃	C₂²	1	2	yes	—
124	C₈×D₄×C₈₃	C₂²	1	1	yes	characteristic
125	#433×C₈₃	C₂²	1	2	yes	—
126	#431×C₈₃	C₂²	1	1	yes	characteristic
127	#428×C₈₃	C₂²	1	2	yes	—
128	#428×C₈₃	C₂²	1	2	yes	—
129	C₂×#106×C₈₃	C₂²	1	2	yes	—
130	#424×C₈₃	C₂²	1	2	yes	—
131	#423×C₈₃	C₂²	1	1	yes	characteristic
132	#419×C₈₃	C₂²	1	2	yes	—
133	#417×C₈₃	C₂²	1	2	yes	—
134	#416×C₈₃	C₂²	1	2	yes	—
135	C₂×#41×C₈₃	—	2	2	no	—
136	C₂×#41×C₈₃	—	2	1	no	—
137	C₂×#41×C₈₃	—	2	1	no	—
138	C₂×#41×C₈₃	—	2	1	no	—
139	C₂×#41×C₈₃	C₂³	1	2	yes	—
140	C₂²×Q₈×C₈₃	—	2	1	no	—
141	C₂²×Q₈×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	1	yes	characteristic
145	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic
146	C₂×D₈×C₈₃	C₂³	1	2	yes	—
147	C₂×D₈×C₈₃	C₂³	1	2	yes	—
148	C₂×M₁₆×C₈₃	C₂³	1	2	yes	—
149	C₂×M₁₆×C₈₃	C₂³	1	2	yes	—
150	C₂²×C₈×C₈₃	C₂³	1	2	yes	—
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	C₂³	1	2	yes	—
155	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
156	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
157	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
158	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
159	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
160	#127×C₈₃	—	2	1	no	—
161	#127×C₈₃	C₂³	1	1	yes	characteristic
162	#127×C₈₃	C₂³	1	1	yes	characteristic
163	#126×C₈₃	—	2	2	no	—
164	#126×C₈₃	—	2	2	no	—
165	#126×C₈₃	D₄	1	2	yes	—
166	#125×C₈₃	—	2	1	no	—
167	#125×C₈₃	—	2	2	no	—
168	#125×C₈₃	D₄	1	1	yes	characteristic
169	#125×C₈₃	C₂³	1	2	yes	—
170	#125×C₈₃	C₂³	1	2	yes	—
171	#124×C₈₃	—	2	1	no	—
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	1	no	—
178	#124×C₈₃	—	2	1	no	—
179	#124×C₈₃	D₄	1	1	yes	characteristic
180	#124×C₈₃	C₂³	1	2	yes	—
181	#123×C₈₃	—	2	2	no	—
182	#123×C₈₃	—	2	2	no	—
183	#123×C₈₃	—	2	2	no	—
184	#123×C₈₃	—	2	2	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	D₄	1	2	yes	—
190	C₂²⋊Q₈×C₈₃	—	2	1	no	—
191	C₂²⋊Q₈×C₈₃	—	2	1	no	—
192	C₂²⋊Q₈×C₈₃	—	2	1	no	—
193	C₂²⋊Q₈×C₈₃	—	2	1	no	—
194	C₂²⋊Q₈×C₈₃	—	2	1	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	2	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	D₄	1	1	yes	characteristic
204	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
205	#121×C₈₃	—	2	2	no	—
206	#121×C₈₃	—	2	1	no	—
207	#121×C₈₃	—	2	2	no	—
208	#121×C₈₃	—	2	2	no	—
209	#121×C₈₃	—	2	1	no	—
210	#121×C₈₃	—	2	1	no	—
211	#121×C₈₃	—	2	2	no	—
212	#121×C₈₃	—	2	2	no	—
213	#121×C₈₃	—	2	2	no	—
214	#121×C₈₃	D₄	1	1	yes	characteristic
215	#121×C₈₃	C₂³	1	2	yes	—
216	#121×C₈₃	C₂³	1	2	yes	—
217	#121×C₈₃	C₂³	1	2	yes	—
218	#121×C₈₃	C₂³	1	1	yes	characteristic
219	#121×C₈₃	C₂³	1	1	yes	characteristic
220	#121×C₈₃	C₂³	1	2	yes	—
221	C₄×Q₈×C₈₃	—	2	1	no	—
222	C₄×Q₈×C₈₃	—	2	1	no	—
223	C₄×Q₈×C₈₃	—	2	1	no	—
224	C₄×Q₈×C₈₃	—	2	1	no	—
225	C₄×Q₈×C₈₃	—	2	1	no	—
226	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
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	2	no	—
236	C₄×D₄×C₈₃	—	2	2	no	—
237	C₄×D₄×C₈₃	—	2	2	no	—
238	C₄×D₄×C₈₃	—	2	2	no	—
239	C₄×D₄×C₈₃	—	2	1	no	—
240	C₄×D₄×C₈₃	—	2	1	no	—
241	C₄×D₄×C₈₃	C₂³	1	2	yes	—
242	C₄×D₄×C₈₃	C₂³	1	2	yes	—
243	C₄×D₄×C₈₃	C₂³	1	2	yes	—
244	C₄×D₄×C₈₃	C₂³	1	2	yes	—
245	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₈₃	C₂³	1	2	yes	—
248	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
249	#117×C₈₃	—	2	2	no	—
250	#117×C₈₃	—	2	1	no	—
251	#117×C₈₃	—	2	2	no	—
252	#117×C₈₃	C₂³	1	2	yes	—
253	#117×C₈₃	C₂³	1	2	yes	—
254	#117×C₈₃	C₂³	1	2	yes	—
255	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
256	C₂×C₄⋊C₄×C₈₃	—	2	2	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	1	yes	characteristic
260	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
261	C₂×C₄²×C₈₃	—	2	1	no	—
262	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
263	#107×C₈₃	C₂³	1	2	yes	—
264	#107×C₈₃	C₂³	1	2	yes	—
265	#107×C₈₃	C₂³	1	2	yes	—
266	#107×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	#106×C₈₃	C₂³	1	1	yes	characteristic
275	#106×C₈₃	C₂³	1	1	yes	characteristic
276	#106×C₈₃	C₂³	1	2	yes	—
277	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
278	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
279	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
280	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
282	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
283	C₄⋊C₈×C₈₃	C₂³	1	2	yes	—
284	#103×C₈₃	C₂³	1	2	yes	—
285	#103×C₈₃	C₂³	1	2	yes	—
286	#103×C₈₃	C₂³	1	1	yes	characteristic
287	#103×C₈₃	C₂³	1	2	yes	—
288	#103×C₈₃	C₂³	1	1	yes	characteristic
289	#103×C₈₃	C₂³	1	1	yes	characteristic
290	#103×C₈₃	C₂³	1	1	yes	characteristic
291	#103×C₈₃	C₂³	1	2	yes	—
292	#102×C₈₃	C₂³	1	2	yes	—
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	1	yes	characteristic
298	#102×C₈₃	C₂³	1	2	yes	—
299	#102×C₈₃	C₂³	1	2	yes	—
300	#102×C₈₃	C₂³	1	2	yes	—
301	#102×C₈₃	C₂³	1	2	yes	—
302	#102×C₈₃	C₂³	1	1	yes	characteristic
303	#102×C₈₃	C₂³	1	1	yes	characteristic
304	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
305	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
306	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
307	C₂²⋊C₈×C₈₃	C₂³	1	2	yes	—
308	#97×C₈₃	C₂³	1	2	yes	—
309	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₈₃	C₂³	1	2	yes	—
312	#41×C₈₃	—	2	4	no	—
313	#41×C₈₃	—	4	2	no	—
314	#41×C₈₃	—	8	2	no	—
315	#41×C₈₃	—	8	2	no	—
316	#41×C₈₃	—	8	2	no	—
317	#41×C₈₃	—	8	4	no	—
318	C₂×Q₈×C₈₃	—	2	1	no	—
319	C₂×Q₈×C₈₃	—	2	1	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	2	no	—
324	C₂×Q₈×C₈₃	—	2	1	no	—
325	C₂×Q₈×C₈₃	—	2	2	no	—
326	C₂×Q₈×C₈₃	—	4	1	no	—
327	C₂×Q₈×C₈₃	—	8	2	no	—
328	C₂×Q₈×C₈₃	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₈₃	—	2	2	no	—
332	C₂×D₄×C₈₃	—	2	2	no	—
333	C₂×D₄×C₈₃	—	2	2	no	—
334	C₂×D₄×C₈₃	—	2	1	no	—
335	C₂×D₄×C₈₃	—	2	2	no	—
336	C₂×D₄×C₈₃	—	2	1	no	—
337	C₂×D₄×C₈₃	—	2	2	no	—
338	C₂×D₄×C₈₃	—	2	1	no	—
339	C₂×D₄×C₈₃	—	2	1	no	—
340	C₂×D₄×C₈₃	—	2	1	no	—
341	C₂×D₄×C₈₃	—	2	1	no	—
342	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
343	C₂×D₄×C₈₃	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
345	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₈₃	—	2	1	no	—
348	C₂²×C₄×C₈₃	—	2	1	no	—
349	C₂²×C₄×C₈₃	—	2	2	no	—
350	C₂²×C₄×C₈₃	—	2	2	no	—
351	C₂²×C₄×C₈₃	—	2	2	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	—	2	2	no	—
356	C₂²×C₄×C₈₃	—	2	2	no	—
357	C₂²×C₄×C₈₃	—	2	2	no	—
358	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
359	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
360	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
362	SD₁₆×C₈₃	—	2	2	no	—
363	SD₁₆×C₈₃	—	2	2	no	—
364	SD₁₆×C₈₃	—	4	1	no	—
365	SD₁₆×C₈₃	—	4	1	no	—
366	D₈×C₈₃	—	4	2	no	—
367	D₈×C₈₃	—	4	2	no	—
368	M₁₆×C₈₃	—	4	2	no	—
369	M₁₆×C₈₃	—	4	2	no	—
370	C₂×C₈×C₈₃	—	4	2	no	—
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	1	yes	characteristic
375	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
376	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
377	C₄⋊C₄×C₈₃	—	2	1	no	—
378	C₄⋊C₄×C₈₃	—	2	2	no	—
379	C₄⋊C₄×C₈₃	—	2	1	no	—
380	C₄⋊C₄×C₈₃	—	2	2	no	—
381	C₄⋊C₄×C₈₃	—	2	1	no	—
382	C₄⋊C₄×C₈₃	—	2	1	no	—
383	C₄⋊C₄×C₈₃	—	2	1	no	—
384	C₄⋊C₄×C₈₃	—	2	2	no	—
385	C₄⋊C₄×C₈₃	—	2	1	no	—
386	C₄⋊C₄×C₈₃	—	2	2	no	—
387	C₄⋊C₄×C₈₃	—	2	2	no	—
388	C₄⋊C₄×C₈₃	—	2	1	no	—
389	C₄⋊C₄×C₈₃	—	2	1	no	—
390	C₄⋊C₄×C₈₃	—	2	2	no	—
391	C₄⋊C₄×C₈₃	—	2	2	no	—
392	C₄⋊C₄×C₈₃	—	2	2	no	—
393	C₄⋊C₄×C₈₃	—	2	2	no	—
394	C₄⋊C₄×C₈₃	—	2	1	no	—
395	C₄⋊C₄×C₈₃	—	2	2	no	—
396	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
397	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
398	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
399	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
400	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
401	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
403	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
404	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
405	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
406	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
408	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
409	C₂²⋊C₄×C₈₃	—	2	2	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	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	1	no	—
418	C₂²⋊C₄×C₈₃	—	2	2	no	—
419	C₂²⋊C₄×C₈₃	—	2	2	no	—
420	C₂²⋊C₄×C₈₃	—	2	2	no	—
421	C₂²⋊C₄×C₈₃	—	2	2	no	—
422	C₂²⋊C₄×C₈₃	—	2	2	no	—
423	C₂²⋊C₄×C₈₃	—	2	1	no	—
424	C₂²⋊C₄×C₈₃	—	2	2	no	—
425	C₂²⋊C₄×C₈₃	—	2	1	no	—
426	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
427	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
428	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
429	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
430	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
431	C₄²×C₈₃	—	2	1	no	—
432	C₄²×C₈₃	—	2	1	no	—
433	C₄²×C₈₃	—	2	1	no	—
434	C₄²×C₈₃	—	2	1	no	—
435	C₄²×C₈₃	—	2	2	no	—
436	C₄²×C₈₃	—	2	2	no	—
437	C₄²×C₈₃	—	2	2	no	—
438	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
439	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
440	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
441	C₄²×C₈₃	C₂⁴	1	2	yes	—
442	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
443	C₂³×C₈₃	—	2	2	no	—
444	C₂³×C₈₃	—	2	1	no	—
445	C₂³×C₈₃	—	2	1	no	—
446	C₂³×C₈₃	C₂²×D₄	1	2	yes	—
447	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
448	Q₈×C₈₃	—	2	2	no	—
449	Q₈×C₈₃	—	2	1	no	—
450	Q₈×C₈₃	—	2	1	no	—
451	Q₈×C₈₃	—	2	1	no	—
452	Q₈×C₈₃	—	4	2	no	—
453	Q₈×C₈₃	—	4	2	no	—
454	Q₈×C₈₃	—	8	1	no	—
455	Q₈×C₈₃	—	8	2	no	—
456	Q₈×C₈₃	—	8	1	no	—
457	Q₈×C₈₃	—	8	2	no	—
458	Q₈×C₈₃	—	8	1	no	—
459	Q₈×C₈₃	2₋¹⁺⁴	1	2	yes	—
460	D₄×C₈₃	—	2	2	no	—
461	D₄×C₈₃	—	2	1	no	—
462	D₄×C₈₃	—	2	1	no	—
463	D₄×C₈₃	—	2	2	no	—
464	D₄×C₈₃	—	2	1	no	—
465	D₄×C₈₃	—	2	1	no	—
466	D₄×C₈₃	—	2	2	no	—
467	D₄×C₈₃	—	4	2	no	—
468	D₄×C₈₃	—	4	4	no	—
469	D₄×C₈₃	—	4	4	no	—
470	D₄×C₈₃	—	4	2	no	—
471	D₄×C₈₃	—	8	1	no	—
472	D₄×C₈₃	—	8	1	no	—
473	D₄×C₈₃	—	8	1	no	—
474	D₄×C₈₃	—	8	2	no	—
475	D₄×C₈₃	—	8	2	no	—
476	D₄×C₈₃	—	8	1	no	—
477	D₄×C₈₃	—	8	1	no	—
478	D₄×C₈₃	—	8	2	no	—
479	C₂×C₄×C₈₃	—	2	1	no	—
480	C₂×C₄×C₈₃	—	2	2	no	—
481	C₂×C₄×C₈₃	—	2	1	no	—
482	C₂×C₄×C₈₃	—	2	2	no	—
483	C₂×C₄×C₈₃	—	2	2	no	—
484	C₂×C₄×C₈₃	—	2	1	no	—
485	C₂×C₄×C₈₃	—	2	1	no	—
486	C₂×C₄×C₈₃	—	2	2	no	—
487	C₂×C₄×C₈₃	—	2	1	no	—
488	C₂×C₄×C₈₃	—	2	1	no	—
489	C₂×C₄×C₈₃	—	2	1	no	—
490	C₂×C₄×C₈₃	—	2	2	no	—
491	C₂×C₄×C₈₃	—	2	2	no	—
492	C₂×C₄×C₈₃	—	2	1	no	—
493	C₂×C₄×C₈₃	—	4	1	no	—
494	C₂×C₄×C₈₃	—	4	4	no	—
495	C₂×C₄×C₈₃	—	4	2	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	—	8	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	C₂²×D₄	1	1	yes	characteristic
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	2	yes	—
509	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
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	1	no	—
517	C₈×C₈₃	—	2	2	no	—
518	C₈×C₈₃	—	2	2	no	—
519	C₈×C₈₃	—	2	1	no	—
520	C₂²×C₈₃	—	2	1	no	—
521	C₂²×C₈₃	—	2	2	no	—
522	C₂²×C₈₃	—	2	1	no	—
523	C₂²×C₈₃	—	2	2	no	—
524	C₂²×C₈₃	—	2	1	no	—
525	C₂²×C₈₃	—	2	2	no	—
526	C₂²×C₈₃	—	4	2	no	—
527	C₂²×C₈₃	—	4	1	no	—
528	C₂²×C₈₃	—	4	1	no	—
529	C₂²×C₈₃	—	4	2	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	2	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	2	no	—
539	C₄×C₈₃	—	2	2	no	—
540	C₄×C₈₃	—	2	1	no	—
541	C₄×C₈₃	—	2	2	no	—
542	C₄×C₈₃	—	2	1	no	—
543	C₄×C₈₃	—	2	2	no	—
544	C₄×C₈₃	—	4	1	no	—
545	C₄×C₈₃	—	4	1	no	—
546	C₄×C₈₃	—	4	2	no	—
547	C₄×C₈₃	—	4	2	no	—
548	C₄×C₈₃	—	4	1	no	—
549	C₄×C₈₃	—	4	1	no	—
550	C₄×C₈₃	—	4	1	no	—
551	C₄×C₈₃	—	4	2	no	—
552	C₄×C₈₃	#577	1	2	yes	—
553	C₄×C₈₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
554	C₄×C₈₃	#585	1	1	yes	characteristic
555	#62194	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	—	8	2	no	—
559	C₂×C₈₃	—	8	1	no	—
560	C₂×C₈₃	—	8	1	no	—
561	C₂×C₈₃	#3489	1	1	yes	characteristic
562	C₂×C₈₃	C₂×#577	1	1	yes	characteristic
563	C₂×C₈₃	#3585	1	1	yes	characteristic
564	#3547	C₂×C₈₃	1	1	yes	characteristic, complemented
565	#3522	C₂×C₈₃	1	1	yes	characteristic, complemented
566	#3385	C₂×C₈₃	1	1	yes	characteristic, complemented
567	Q₈×SD₁₆	C₂×C₈₃	1	1	yes	characteristic, complemented
568	#3373	C₂×C₈₃	1	1	yes	characteristic, complemented
569	#3361	C₂×C₈₃	1	1	yes	characteristic, complemented
570	#3357	C₂×C₈₃	1	1	yes	characteristic, complemented
571	#3354	C₂×C₈₃	1	2	yes	complemented
572	#3345	C₂×C₈₃	1	2	yes	complemented
573	#3335	C₂×C₈₃	1	1	yes	characteristic, complemented
574	#3332	C₂×C₈₃	1	1	yes	characteristic, complemented
575	#3326	C₂×C₈₃	1	2	yes	complemented
576	#3321	C₂×C₈₃	1	2	yes	complemented
577	#3305	C₂×C₈₃	1	1	yes	characteristic, complemented
578	#3257	C₂×C₈₃	1	2	yes	complemented
579	#3253	C₂×C₈₃	1	1	yes	characteristic, complemented
580	#3244	C₂×C₈₃	1	2	yes	complemented
581	#3228	C₂×C₈₃	1	1	yes	characteristic, complemented
582	#3119	C₂×C₈₃	1	2	yes	complemented
583	#3103	C₂×C₈₃	1	1	yes	characteristic, complemented
584	#3084	C₂×C₈₃	1	2	yes	complemented
585	#3078	C₂×C₈₃	1	1	yes	characteristic, complemented
586	#2993	C₂×C₈₃	1	1	yes	characteristic, complemented
587	C₈₃	#62194	1	1	yes	characteristic, direct product factor, Sylow
588	#562	—	2	2	no	—
589	#559	—	2	1	no	—
590	#559	C₂²×C₈₃	1	1	yes	characteristic
591	Q₈²	C₂²×C₈₃	1	1	yes	characteristic
592	#555	C₂²×C₈₃	1	2	yes	—
593	#555	C₂²×C₈₃	1	1	yes	characteristic
594	#554	—	2	1	no	—
595	#554	C₂²×C₈₃	1	1	yes	characteristic
596	#554	C₂²×C₈₃	1	1	yes	characteristic
597	#553	C₂²×C₈₃	1	2	yes	—
598	#552	—	2	1	no	—
599	#550	C₂²×C₈₃	1	1	yes	characteristic
600	D₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic
601	#548	—	2	1	no	—
602	#548	C₂²×C₈₃	1	2	yes	—
603	#547	—	2	2	no	—
604	#547	C₂²×C₈₃	1	1	yes	characteristic
605	#547	C₂²×C₈₃	1	2	yes	—
606	#544	C₂²×C₈₃	1	2	yes	—
607	#542	—	2	2	no	—
608	#542	—	2	2	no	—
609	#542	C₂²×C₈₃	1	2	yes	—
610	#540	C₂²×C₈₃	1	2	yes	—
611	#537	—	2	1	no	—
612	#536	—	2	1	no	—
613	#533	C₂²×C₈₃	1	1	yes	characteristic
614	#532	—	2	1	no	—
615	#532	C₂²×C₈₃	1	1	yes	characteristic
616	#532	C₂²×C₈₃	1	1	yes	characteristic
617	#529	—	2	1	no	—
618	#529	C₂²×C₈₃	1	1	yes	characteristic
619	#520	C₂²×C₈₃	1	2	yes	—
620	C₂×C₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic
621	#501	C₂²×C₈₃	1	2	yes	—
622	#500	C₂²×C₈₃	1	1	yes	characteristic
623	#498	C₂²×C₈₃	1	1	yes	characteristic
624	#498	C₂²×C₈₃	1	2	yes	—
625	#489	C₂²×C₈₃	1	2	yes	—
626	#488	C₂²×C₈₃	1	2	yes	—
627	#486	C₂²×C₈₃	1	1	yes	characteristic
628	#486	C₂²×C₈₃	1	1	yes	characteristic
629	#485	C₂²×C₈₃	1	2	yes	—
630	#483	C₂²×C₈₃	1	2	yes	—
631	#482	C₂²×C₈₃	1	2	yes	—
632	#482	C₂²×C₈₃	1	2	yes	—
633	#482	C₂²×C₈₃	1	2	yes	—
634	#481	C₂²×C₈₃	1	2	yes	—
635	#481	C₂²×C₈₃	1	2	yes	—
636	#481	C₂²×C₈₃	1	1	yes	characteristic
637	#481	C₂²×C₈₃	1	1	yes	characteristic
638	#480	C₂²×C₈₃	1	2	yes	—
639	#479	C₂²×C₈₃	1	2	yes	—
640	#479	C₂²×C₈₃	1	2	yes	—
641	#479	C₂²×C₈₃	1	2	yes	—
642	#478	C₂²×C₈₃	1	2	yes	—
643	#478	C₂²×C₈₃	1	2	yes	—
644	#478	C₂²×C₈₃	1	2	yes	—
645	#477	C₂²×C₈₃	1	1	yes	characteristic
646	#477	C₂²×C₈₃	1	1	yes	characteristic
647	#476	C₂²×C₈₃	1	1	yes	characteristic
648	#476	C₂²×C₈₃	1	2	yes	—
649	#476	C₂²×C₈₃	1	2	yes	—
650	#476	C₂²×C₈₃	1	2	yes	—
651	#476	C₂²×C₈₃	1	1	yes	characteristic
652	#475	C₂²×C₈₃	1	1	yes	characteristic
653	#475	C₂²×C₈₃	1	1	yes	characteristic
654	#475	C₂²×C₈₃	1	1	yes	characteristic
655	#475	C₂²×C₈₃	1	2	yes	—
656	#475	C₂²×C₈₃	1	1	yes	characteristic
657	#474	C₂²×C₈₃	1	2	yes	—
658	#469	C₂²×C₈₃	1	2	yes	—
659	#469	C₂²×C₈₃	1	2	yes	—
660	#469	C₂²×C₈₃	1	2	yes	—
661	#468	C₂²×C₈₃	1	2	yes	—
662	#466	C₂²×C₈₃	1	2	yes	—
663	#465	C₂²×C₈₃	1	2	yes	—
664	#463	C₂²×C₈₃	1	2	yes	—
665	#463	C₂²×C₈₃	1	2	yes	—
666	#460	C₂²×C₈₃	1	1	yes	characteristic
667	#460	C₂²×C₈₃	1	1	yes	characteristic
668	#459	C₂²×C₈₃	1	1	yes	characteristic
669	#459	C₂²×C₈₃	1	1	yes	characteristic
670	#459	C₂²×C₈₃	1	2	yes	—
671	#449	C₂²×C₈₃	1	2	yes	—
672	#449	C₂²×C₈₃	1	2	yes	—
673	#448	C₂²×C₈₃	1	1	yes	characteristic
674	#448	C₂²×C₈₃	1	1	yes	characteristic
675	#446	C₂²×C₈₃	1	1	yes	characteristic
676	C₈×Q₈	C₂²×C₈₃	1	1	yes	characteristic
677	#442	C₂²×C₈₃	1	2	yes	—
678	#440	C₂²×C₈₃	1	2	yes	—
679	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
680	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
681	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
682	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
683	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
684	C₄×D₈	C₂²×C₈₃	1	2	yes	—
685	#436	C₂²×C₈₃	1	1	yes	characteristic
686	#436	C₂²×C₈₃	1	2	yes	—
687	#435	C₂²×C₈₃	1	2	yes	—
688	C₈×D₄	C₂²×C₈₃	1	1	yes	characteristic
689	#433	C₂²×C₈₃	1	2	yes	—
690	#431	C₂²×C₈₃	1	1	yes	characteristic
691	#428	C₂²×C₈₃	1	2	yes	—
692	#428	C₂²×C₈₃	1	2	yes	—
693	C₂×#106	C₂²×C₈₃	1	2	yes	—
694	#424	C₂²×C₈₃	1	2	yes	—
695	#423	C₂²×C₈₃	1	1	yes	characteristic
696	#419	C₂²×C₈₃	1	2	yes	—
697	#417	C₂²×C₈₃	1	2	yes	—
698	#416	C₂²×C₈₃	1	2	yes	—
699	C₂×#41	—	2	2	no	—
700	C₂×#41	—	2	1	no	—
701	C₂×#41	—	2	1	no	—
702	C₂×#41	—	2	1	no	—
703	C₂×#41	C₂³×C₈₃	1	2	yes	—
704	C₂²×Q₈	—	2	1	no	—
705	C₂²×Q₈	C₂³×C₈₃	1	1	yes	characteristic
706	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
707	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
708	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
709	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
710	C₂×D₈	C₂³×C₈₃	1	2	yes	—
711	C₂×D₈	C₂³×C₈₃	1	2	yes	—
712	C₂×M₁₆	C₂³×C₈₃	1	2	yes	—
713	C₂×M₁₆	C₂³×C₈₃	1	2	yes	—
714	C₂²×C₈	C₂³×C₈₃	1	2	yes	—
715	C₄⋊Q₈	—	2	1	no	—
716	C₄⋊Q₈	—	2	2	no	—
717	C₄⋊Q₈	—	2	2	no	—
718	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
719	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
723	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
724	#127	—	2	1	no	—
725	#127	C₂³×C₈₃	1	1	yes	characteristic
726	#127	C₂³×C₈₃	1	1	yes	characteristic
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	D₄×C₈₃	1	2	yes	—
730	#125	—	2	1	no	—
731	#125	—	2	2	no	—
732	#125	D₄×C₈₃	1	1	yes	characteristic
733	#125	C₂³×C₈₃	1	2	yes	—
734	#125	C₂³×C₈₃	1	2	yes	—
735	#124	—	2	1	no	—
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	1	no	—
742	#124	—	2	1	no	—
743	#124	D₄×C₈₃	1	1	yes	characteristic
744	#124	C₂³×C₈₃	1	2	yes	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	D₄×C₈₃	1	2	yes	—
754	C₂²⋊Q₈	—	2	1	no	—
755	C₂²⋊Q₈	—	2	1	no	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
768	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
769	#121	—	2	2	no	—
770	#121	—	2	1	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	1	no	—
774	#121	—	2	1	no	—
775	#121	—	2	2	no	—
776	#121	—	2	2	no	—
777	#121	—	2	2	no	—
778	#121	D₄×C₈₃	1	1	yes	characteristic
779	#121	C₂³×C₈₃	1	2	yes	—
780	#121	C₂³×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	1	no	—
786	C₄×Q₈	—	2	1	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
791	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
792	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
793	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
794	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
795	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	C₂³×C₈₃	1	2	yes	—
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	C₄×D₄	C₂³×C₈₃	1	2	yes	—
810	C₄×D₄	C₂³×C₈₃	1	2	yes	—
811	C₄×D₄	C₂³×C₈₃	1	2	yes	—
812	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
813	#117	—	2	2	no	—
814	#117	—	2	1	no	—
815	#117	—	2	2	no	—
816	#117	C₂³×C₈₃	1	2	yes	—
817	#117	C₂³×C₈₃	1	2	yes	—
818	#117	C₂³×C₈₃	1	2	yes	—
819	C₂×C₄⋊C₄	—	2	1	no	—
820	C₂×C₄⋊C₄	—	2	2	no	—
821	C₂×C₄⋊C₄	—	2	1	no	—
822	C₂×C₄⋊C₄	C₂³×C₈₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
824	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
825	C₂×C₄²	—	2	1	no	—
826	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
827	#107	C₂³×C₈₃	1	2	yes	—
828	#107	C₂³×C₈₃	1	2	yes	—
829	#107	C₂³×C₈₃	1	2	yes	—
830	#107	C₂³×C₈₃	1	2	yes	—
831	#106	C₂³×C₈₃	1	1	yes	characteristic
832	#106	C₂³×C₈₃	1	2	yes	—
833	#106	C₂³×C₈₃	1	2	yes	—
834	#106	C₂³×C₈₃	1	2	yes	—
835	#106	C₂³×C₈₃	1	1	yes	characteristic
836	#106	C₂³×C₈₃	1	2	yes	—
837	#106	C₂³×C₈₃	1	2	yes	—
838	#106	C₂³×C₈₃	1	1	yes	characteristic
839	#106	C₂³×C₈₃	1	1	yes	characteristic
840	#106	C₂³×C₈₃	1	2	yes	—
841	C₄⋊C₈	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	2	yes	—
846	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
847	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
848	#103	C₂³×C₈₃	1	1	yes	characteristic
849	#103	C₂³×C₈₃	1	2	yes	—
850	#103	C₂³×C₈₃	1	1	yes	characteristic
851	#103	C₂³×C₈₃	1	2	yes	—
852	#103	C₂³×C₈₃	1	2	yes	—
853	#103	C₂³×C₈₃	1	2	yes	—
854	#103	C₂³×C₈₃	1	1	yes	characteristic
855	#103	C₂³×C₈₃	1	1	yes	characteristic
856	#102	C₂³×C₈₃	1	2	yes	—
857	#102	C₂³×C₈₃	1	2	yes	—
858	#102	C₂³×C₈₃	1	2	yes	—
859	#102	C₂³×C₈₃	1	2	yes	—
860	#102	C₂³×C₈₃	1	1	yes	characteristic
861	#102	C₂³×C₈₃	1	2	yes	—
862	#102	C₂³×C₈₃	1	1	yes	characteristic
863	#102	C₂³×C₈₃	1	2	yes	—
864	#102	C₂³×C₈₃	1	1	yes	characteristic
865	#102	C₂³×C₈₃	1	1	yes	characteristic
866	#102	C₂³×C₈₃	1	2	yes	—
867	#102	C₂³×C₈₃	1	2	yes	—
868	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
869	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
870	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
871	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
872	#97	C₂³×C₈₃	1	2	yes	—
873	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
874	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
875	C₄×C₈	C₂³×C₈₃	1	2	yes	—
876	#41	—	2	4	no	—
877	#41	—	4	2	no	—
878	#41	—	8	2	no	—
879	#41	—	8	2	no	—
880	#41	—	8	2	no	—
881	#41	—	8	4	no	—
882	C₂×Q₈	—	2	1	no	—
883	C₂×Q₈	—	2	1	no	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	2	2	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	2	no	—
888	C₂×Q₈	—	2	1	no	—
889	C₂×Q₈	—	2	2	no	—
890	C₂×Q₈	—	4	1	no	—
891	C₂×Q₈	—	8	2	no	—
892	C₂×Q₈	C₂×D₄×C₈₃	1	1	yes	characteristic
893	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
894	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	1	no	—
903	C₂×D₄	—	2	1	no	—
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	C₂×D₄×C₈₃	1	1	yes	characteristic
907	C₂×D₄	C₂×D₄×C₈₃	1	2	yes	—
908	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
909	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
910	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
923	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
924	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
925	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
926	SD₁₆	—	2	2	no	—
927	SD₁₆	—	2	2	no	—
928	SD₁₆	—	4	1	no	—
929	SD₁₆	—	4	1	no	—
930	D₈	—	4	2	no	—
931	D₈	—	4	2	no	—
932	M₁₆	—	4	2	no	—
933	M₁₆	—	4	2	no	—
934	C₂×C₈	—	4	2	no	—
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	1	yes	characteristic
939	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
940	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
961	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
962	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
963	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
965	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
966	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
968	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
970	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	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	1	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
991	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
992	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
993	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
994	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	1	no	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	2	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	2	no	—
1002	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
1003	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
1004	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1005	C₄²	C₂⁴×C₈₃	1	2	yes	—
1006	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	1	no	—
1009	C₂³	—	2	2	no	—
1010	C₂³	C₂²×D₄×C₈₃	1	2	yes	—
1011	C₂³	C₂²×D₄×C₈₃	1	1	yes	characteristic
1012	Q₈	—	2	2	no	—
1013	Q₈	—	2	1	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	4	2	no	—
1017	Q₈	—	4	2	no	—
1018	Q₈	—	8	2	no	—
1019	Q₈	—	8	1	no	—
1020	Q₈	—	8	1	no	—
1021	Q₈	—	8	2	no	—
1022	Q₈	—	8	1	no	—
1023	Q₈	2₋¹⁺⁴×C₈₃	1	2	yes	—
1024	D₄	—	2	2	no	—
1025	D₄	—	2	1	no	—
1026	D₄	—	2	1	no	—
1027	D₄	—	2	2	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	2	1	no	—
1030	D₄	—	2	2	no	—
1031	D₄	—	4	2	no	—
1032	D₄	—	4	4	no	—
1033	D₄	—	4	4	no	—
1034	D₄	—	4	2	no	—
1035	D₄	—	8	1	no	—
1036	D₄	—	8	1	no	—
1037	D₄	—	8	1	no	—
1038	D₄	—	8	1	no	—
1039	D₄	—	8	1	no	—
1040	D₄	—	8	2	no	—
1041	D₄	—	8	2	no	—
1042	D₄	—	8	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	4	1	no	—
1058	C₂×C₄	—	4	4	no	—
1059	C₂×C₄	—	4	2	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	4	2	no	—
1063	C₂×C₄	—	8	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	C₂²×D₄×C₈₃	1	1	yes	characteristic
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	2	yes	—
1073	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1075	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
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	1	no	—
1081	C₈	—	2	2	no	—
1082	C₈	—	2	2	no	—
1083	C₈	—	2	1	no	—
1084	C₂²	—	2	1	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	1	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	2	1	no	—
1089	C₂²	—	2	2	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	C₂³×D₄×C₈₃	1	1	yes	characteristic
1100	C₄	—	2	1	no	—
1101	C₄	—	2	2	no	—
1102	C₄	—	2	1	no	—
1103	C₄	—	2	1	no	—
1104	C₄	—	2	2	no	—
1105	C₄	—	2	2	no	—
1106	C₄	—	2	1	no	—
1107	C₄	—	2	2	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	2	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	1	no	—
1113	C₄	—	4	2	no	—
1114	C₄	—	4	2	no	—
1115	C₄	—	4	1	no	—
1116	C₄	#577×C₈₃	1	2	yes	—
1117	C₄	C₂×2₋¹⁺⁴×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	—	8	1	no	—
1122	C₂	—	8	1	no	—
1123	C₂	—	8	2	no	—
1124	C₂	C₈₃×#3489	1	1	yes	characteristic
1125	C₂	C₂×#577×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 ◁ #529×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×#3522	C₂	semidirect
3. C₈₃×#3385	C₂	semidirect
4. Q₈×SD₁₆×C₈₃	C₂	semidirect
5. C₈₃×#3373	C₂	semidirect
6. C₈₃×#3361	C₂	semidirect
7. C₈₃×#3357	C₂	semidirect
8. C₈₃×#3354	C₂	semidirect
9. C₈₃×#3345	C₂	semidirect
10. C₈₃×#3335	C₂	semidirect
11. C₈₃×#3332	C₂	semidirect
12. C₈₃×#3326	C₂	semidirect
13. C₈₃×#3321	C₂	semidirect
14. C₈₃×#3305	C₂	semidirect
15. C₈₃×#3257	C₂	semidirect
16. C₈₃×#3253	C₂	semidirect
17. C₈₃×#3244	C₂	semidirect
18. C₈₃×#3228	C₂	semidirect
19. C₈₃×#3119	C₂	semidirect
20. C₈₃×#3103	C₂	semidirect
21. C₈₃×#3084	C₂	semidirect
22. C₈₃×#3078	C₂	semidirect
23. C₈₃×#2993	C₂	semidirect
555. #62194	C₈₃	direct (N × H)
564. #3547	C₂×C₈₃	semidirect
565. #3522	C₂×C₈₃	semidirect
566. #3385	C₂×C₈₃	semidirect
567. Q₈×SD₁₆	C₂×C₈₃	semidirect
568. #3373	C₂×C₈₃	semidirect
569. #3361	C₂×C₈₃	semidirect
570. #3357	C₂×C₈₃	semidirect
571. #3354	C₂×C₈₃	semidirect
572. #3345	C₂×C₈₃	semidirect
573. #3335	C₂×C₈₃	semidirect
574. #3332	C₂×C₈₃	semidirect
575. #3326	C₂×C₈₃	semidirect
576. #3321	C₂×C₈₃	semidirect
577. #3305	C₂×C₈₃	semidirect
578. #3257	C₂×C₈₃	semidirect
579. #3253	C₂×C₈₃	semidirect
580. #3244	C₂×C₈₃	semidirect
581. #3228	C₂×C₈₃	semidirect
582. #3119	C₂×C₈₃	semidirect
583. #3103	C₂×C₈₃	semidirect
584. #3084	C₂×C₈₃	semidirect
585. #3078	C₂×C₈₃	semidirect
586. #2993	C₂×C₈₃	semidirect
587. C₈₃	#62194	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×#3522	2
C₈₃×#3385	2
Q₈×SD₁₆×C₈₃	2
C₈₃×#3373	2
C₈₃×#3361	2
C₈₃×#3357	2
C₈₃×#3354	2
C₈₃×#3345	2
C₈₃×#3335	2
C₈₃×#3332	2
C₈₃×#3326	2
C₈₃×#3321	2
C₈₃×#3305	2
C₈₃×#3257	2
C₈₃×#3253	2
C₈₃×#3244	2
C₈₃×#3228	2
C₈₃×#3119	2
C₈₃×#3103	2
C₈₃×#3084	2
C₈₃×#3078	2
C₈₃×#2993	2
#62194	83

Subgroups — C83×#62194 #35290018

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#62194 #35290018