Subgroups — C₈₃×#62922 #35290746

Order 21248.

7072 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₃×#3562	C₂	1	6	yes	maximal, complemented
2	C₈₃×#3552	C₂	1	3	yes	maximal, complemented
3	C₈₃×#3551	C₂	1	6	yes	maximal, complemented
4	C₈₃×#3548	C₂	1	3	yes	maximal, complemented
5	C₈₃×#3546	C₂	1	3	yes	maximal, complemented
6	C₈₃×#3546	C₂	1	3	yes	maximal, complemented
7	C₈₃×#3541	C₂	1	6	yes	maximal, complemented
8	C₈₃×#3539	C₂	1	6	yes	maximal, complemented
9	C₈₃×#3523	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₃×#3520	C₂	1	3	yes	maximal, complemented
11	C₈₃×#3517	C₂	1	3	yes	maximal, complemented
12	C₈₃×#3517	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₃×#3516	C₂	1	2	yes	maximal, complemented
14	C₈₃×#3511	C₂	1	3	yes	maximal, complemented
15	C₈₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₃×#3497	C₂	1	2	yes	maximal, complemented
17	C₈₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₃×#3489	C₂	1	2	yes	maximal, complemented
19	C₈₃×#3487	C₂	1	2	yes	maximal, complemented
20	C₈₃×#3482	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₃×#3480	C₂	1	1	yes	maximal, characteristic, complemented
22	D₄×#41×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₃×#3460	C₂	1	3	yes	maximal, complemented
24	C₂×2₋¹⁺⁴×C₈₃	C₂²	1	2	yes	complemented
25	C₂×2₋¹⁺⁴×C₈₃	C₂²	1	2	yes	complemented
26	C₂²×#41×C₈₃	C₂²	1	2	yes	—
27	#563×C₈₃	C₂²	1	12	yes	complemented
28	#562×C₈₃	C₂²	1	12	yes	complemented
29	#560×C₈₃	C₂²	1	12	yes	complemented
30	#560×C₈₃	C₂²	1	12	yes	complemented
31	#559×C₈₃	C₂²	1	3	yes	complemented
32	#557×C₈₃	C₂²	1	3	yes	complemented
33	#557×C₈₃	C₂²	1	1	yes	characteristic, complemented
34	#557×C₈₃	C₂²	1	1	yes	characteristic, complemented
35	#556×C₈₃	C₂²	1	3	yes	—
36	#556×C₈₃	C₂²	1	3	yes	complemented
37	#556×C₈₃	C₂²	1	3	yes	complemented
38	#556×C₈₃	C₂²	1	6	yes	complemented
39	#555×C₈₃	C₂²	1	6	yes	complemented
40	#554×C₈₃	C₂²	1	6	yes	complemented
41	#554×C₈₃	C₂²	1	6	yes	complemented
42	#554×C₈₃	C₂²	1	6	yes	complemented
43	#553×C₈₃	C₂²	1	3	yes	complemented
44	#553×C₈₃	C₂²	1	6	yes	complemented
45	#553×C₈₃	C₂²	1	12	yes	complemented
46	#553×C₈₃	C₂²	1	6	yes	complemented
47	#553×C₈₃	C₂²	1	6	yes	complemented
48	#553×C₈₃	C₂²	1	6	yes	complemented
49	#553×C₈₃	C₂²	1	3	yes	complemented
50	#553×C₈₃	C₂²	1	6	yes	complemented
51	#552×C₈₃	C₂²	1	6	yes	complemented
52	#552×C₈₃	C₂²	1	6	yes	complemented
53	#552×C₈₃	C₂²	1	6	yes	complemented
54	#551×C₈₃	C₂²	1	12	yes	complemented
55	#550×C₈₃	C₂²	1	1	yes	characteristic
56	#550×C₈₃	C₂²	1	1	yes	characteristic
57	#550×C₈₃	C₂²	1	6	yes	complemented
58	#550×C₈₃	C₂²	1	6	yes	complemented
59	#550×C₈₃	C₂²	1	6	yes	complemented
60	#550×C₈₃	C₂²	1	3	yes	complemented
61	#550×C₈₃	C₂²	1	3	yes	complemented
62	#550×C₈₃	C₂²	1	6	yes	complemented
63	#550×C₈₃	C₂²	1	2	yes	complemented
64	D₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic
65	D₄×Q₈×C₈₃	C₂²	1	6	yes	complemented
66	D₄×Q₈×C₈₃	C₂²	1	3	yes	complemented
67	D₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
68	D₄×Q₈×C₈₃	C₂²	1	2	yes	complemented
69	D₄×Q₈×C₈₃	C₂²	1	2	yes	complemented
70	#548×C₈₃	C₂²	1	2	yes	—
71	#548×C₈₃	C₂²	1	1	yes	characteristic
72	#548×C₈₃	C₂²	1	2	yes	—
73	#548×C₈₃	C₂²	1	6	yes	complemented
74	#548×C₈₃	C₂²	1	6	yes	complemented
75	#548×C₈₃	C₂²	1	6	yes	complemented
76	#548×C₈₃	C₂²	1	6	yes	complemented
77	#548×C₈₃	C₂²	1	6	yes	complemented
78	#548×C₈₃	C₂²	1	1	yes	characteristic, complemented
79	#548×C₈₃	C₂²	1	2	yes	complemented
80	#547×C₈₃	C₂²	1	3	yes	—
81	#547×C₈₃	C₂²	1	3	yes	—
82	#547×C₈₃	C₂²	1	6	yes	complemented
83	#547×C₈₃	C₂²	1	6	yes	complemented
84	#547×C₈₃	C₂²	1	6	yes	complemented
85	#547×C₈₃	C₂²	1	3	yes	complemented
86	#547×C₈₃	C₂²	1	3	yes	complemented
87	#547×C₈₃	C₂²	1	3	yes	complemented
88	#546×C₈₃	C₂²	1	6	yes	—
89	#546×C₈₃	C₂²	1	6	yes	—
90	#546×C₈₃	C₂²	1	6	yes	complemented
91	#546×C₈₃	C₂²	1	6	yes	complemented
92	D₄²×C₈₃	C₂²	1	3	yes	—
93	#544×C₈₃	C₂²	1	3	yes	complemented
94	#542×C₈₃	C₂²	1	3	yes	—
95	#542×C₈₃	C₂²	1	6	yes	complemented
96	#542×C₈₃	C₂²	1	6	yes	complemented
97	#542×C₈₃	C₂²	1	6	yes	complemented
98	#542×C₈₃	C₂²	1	3	yes	complemented
99	#541×C₈₃	C₂²	1	6	yes	complemented
100	#541×C₈₃	C₂²	1	6	yes	complemented
101	#540×C₈₃	C₂²	1	1	yes	characteristic
102	#540×C₈₃	C₂²	1	6	yes	complemented
103	#540×C₈₃	C₂²	1	12	yes	complemented
104	#540×C₈₃	C₂²	1	6	yes	complemented
105	#540×C₈₃	C₂²	1	12	yes	complemented
106	#540×C₈₃	C₂²	1	3	yes	complemented
107	#539×C₈₃	C₂²	1	12	yes	complemented
108	#539×C₈₃	C₂²	1	12	yes	complemented
109	#538×C₈₃	C₂²	1	12	yes	complemented
110	#538×C₈₃	C₂²	1	12	yes	complemented
111	#538×C₈₃	C₂²	1	6	yes	complemented
112	#538×C₈₃	C₂²	1	6	yes	complemented
113	#537×C₈₃	C₂²	1	6	yes	complemented
114	#537×C₈₃	C₂²	1	6	yes	complemented
115	#537×C₈₃	C₂²	1	6	yes	complemented
116	#537×C₈₃	C₂²	1	6	yes	complemented
117	#537×C₈₃	C₂²	1	3	yes	complemented
118	#537×C₈₃	C₂²	1	6	yes	complemented
119	#536×C₈₃	C₂²	1	6	yes	complemented
120	#536×C₈₃	C₂²	1	6	yes	complemented
121	#535×C₈₃	C₂²	1	3	yes	—
122	#535×C₈₃	C₂²	1	3	yes	—
123	#535×C₈₃	C₂²	1	6	yes	complemented
124	#535×C₈₃	C₂²	1	6	yes	complemented
125	#533×C₈₃	C₂²	1	3	yes	complemented
126	#533×C₈₃	C₂²	1	3	yes	complemented
127	#532×C₈₃	C₂²	1	3	yes	—
128	#532×C₈₃	C₂²	1	3	yes	—
129	#532×C₈₃	C₂²	1	3	yes	complemented
130	#532×C₈₃	C₂²	1	3	yes	complemented
131	#532×C₈₃	C₂²	1	3	yes	complemented
132	#532×C₈₃	C₂²	1	3	yes	complemented
133	#532×C₈₃	C₂²	1	6	yes	complemented
134	#532×C₈₃	C₂²	1	6	yes	complemented
135	C₂×C₄⋊Q₈×C₈₃	C₂²	1	3	yes	complemented
136	#529×C₈₃	C₂²	1	3	yes	—
137	#529×C₈₃	C₂²	1	3	yes	complemented
138	#529×C₈₃	C₂²	1	6	yes	complemented
139	#529×C₈₃	C₂²	1	6	yes	complemented
140	#529×C₈₃	C₂²	1	3	yes	complemented
141	#529×C₈₃	C₂²	1	6	yes	complemented
142	#529×C₈₃	C₂²	1	3	yes	complemented
143	#525×C₈₃	C₂²	1	6	yes	—
144	#525×C₈₃	C₂²	1	6	yes	complemented
145	#525×C₈₃	C₂²	1	6	yes	complemented
146	#525×C₈₃	C₂²	1	6	yes	complemented
147	C₂×C₂²⋊Q₈×C₈₃	C₂²	1	6	yes	complemented
148	#520×C₈₃	C₂²	1	2	yes	complemented
149	#520×C₈₃	C₂²	1	6	yes	complemented
150	#519×C₈₃	C₂²	1	2	yes	complemented
151	C₄×#41×C₈₃	C₂²	1	1	yes	characteristic
152	C₄×#41×C₈₃	C₂²	1	3	yes	complemented
153	C₄×#41×C₈₃	C₂²	1	3	yes	complemented
154	C₄×#41×C₈₃	C₂²	1	1	yes	characteristic, complemented
155	C₂×C₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
156	C₂×C₄×Q₈×C₈₃	C₂²	1	2	yes	complemented
157	C₂×C₄×D₄×C₈₃	C₂²	1	3	yes	—
158	2₋¹⁺⁴×C₈₃	—	4	8	no	—
159	2₋¹⁺⁴×C₈₃	—	4	8	no	—
160	C₂×#41×C₈₃	—	4	8	no	—
161	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
162	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
163	C₂×#41×C₈₃	C₂³	1	2	yes	—
164	C₂×#41×C₈₃	C₂³	1	3	yes	—
165	C₂×#41×C₈₃	C₂³	1	3	yes	—
166	C₂×#41×C₈₃	C₂³	1	6	yes	—
167	C₂×#41×C₈₃	C₂³	1	6	yes	—
168	C₂×#41×C₈₃	C₂³	1	6	yes	—
169	C₂×#41×C₈₃	C₂³	1	6	yes	—
170	C₂×#41×C₈₃	C₂³	1	6	yes	—
171	C₂×#41×C₈₃	C₂³	1	6	yes	—
172	C₂×#41×C₈₃	C₂³	1	6	yes	—
173	C₂×#41×C₈₃	C₂³	1	6	yes	—
174	C₂×#41×C₈₃	C₂³	1	6	yes	—
175	C₂²×Q₈×C₈₃	C₂³	1	1	yes	characteristic
176	C₂²×Q₈×C₈₃	C₂³	1	2	yes	—
177	C₂²×Q₈×C₈₃	C₂³	1	2	yes	—
178	C₂²×Q₈×C₈₃	C₂³	1	6	yes	—
179	C₂²×Q₈×C₈₃	C₂³	1	6	yes	—
180	C₂²×D₄×C₈₃	C₂³	1	3	yes	—
181	C₂²×D₄×C₈₃	C₂³	1	6	yes	—
182	C₂³×C₄×C₈₃	C₂³	1	6	yes	—
183	C₄⋊Q₈×C₈₃	C₂³	1	3	yes	—
184	C₄⋊Q₈×C₈₃	C₂³	1	3	yes	—
185	C₄⋊Q₈×C₈₃	C₂³	1	3	yes	—
186	C₄⋊Q₈×C₈₃	C₂³	1	6	yes	—
187	C₄⋊Q₈×C₈₃	C₂³	1	6	yes	—
188	C₄⋊Q₈×C₈₃	C₂³	1	3	yes	—
189	C₄⋊Q₈×C₈₃	C₂³	1	6	yes	—
190	C₄⋊Q₈×C₈₃	C₂³	1	3	yes	—
191	C₄⋊Q₈×C₈₃	C₂³	1	3	yes	—
192	C₄⋊Q₈×C₈₃	C₂³	1	6	yes	—
193	#127×C₈₃	C₂³	1	1	yes	characteristic
194	#127×C₈₃	C₂³	1	3	yes	—
195	#127×C₈₃	C₂³	1	3	yes	—
196	#127×C₈₃	C₂³	1	6	yes	—
197	#127×C₈₃	C₂³	1	3	yes	—
198	#127×C₈₃	C₂³	1	6	yes	—
199	#127×C₈₃	C₂³	1	12	yes	—
200	#126×C₈₃	C₂³	1	6	yes	—
201	#126×C₈₃	C₂³	1	6	yes	—
202	#126×C₈₃	C₂³	1	12	yes	—
203	#126×C₈₃	C₂³	1	6	yes	—
204	#126×C₈₃	C₂³	1	6	yes	—
205	#126×C₈₃	C₂³	1	6	yes	—
206	#126×C₈₃	C₂³	1	6	yes	—
207	#126×C₈₃	C₂³	1	12	yes	—
208	#126×C₈₃	C₂³	1	12	yes	—
209	#126×C₈₃	C₂³	1	12	yes	—
210	#125×C₈₃	C₂³	1	3	yes	—
211	#125×C₈₃	C₂³	1	1	yes	characteristic
212	#125×C₈₃	C₂³	1	3	yes	—
213	#125×C₈₃	C₂³	1	6	yes	—
214	#125×C₈₃	C₂³	1	6	yes	—
215	#125×C₈₃	C₂³	1	3	yes	—
216	#125×C₈₃	C₂³	1	6	yes	—
217	#125×C₈₃	C₂³	1	6	yes	—
218	#125×C₈₃	C₂³	1	12	yes	—
219	#125×C₈₃	C₂³	1	12	yes	—
220	#124×C₈₃	C₂³	1	3	yes	—
221	#124×C₈₃	C₂³	1	6	yes	—
222	#124×C₈₃	C₂³	1	3	yes	—
223	#124×C₈₃	C₂³	1	3	yes	—
224	#124×C₈₃	C₂³	1	6	yes	—
225	#124×C₈₃	C₂³	1	6	yes	—
226	#124×C₈₃	C₂³	1	3	yes	—
227	#124×C₈₃	C₂³	1	6	yes	—
228	#124×C₈₃	C₂³	1	6	yes	—
229	#124×C₈₃	C₂³	1	6	yes	—
230	#124×C₈₃	C₂³	1	6	yes	—
231	#124×C₈₃	C₂³	1	6	yes	—
232	#124×C₈₃	C₂³	1	6	yes	—
233	#124×C₈₃	C₂³	1	12	yes	—
234	#123×C₈₃	C₂³	1	12	yes	—
235	#123×C₈₃	C₂³	1	6	yes	—
236	#123×C₈₃	C₂³	1	2	yes	—
237	#123×C₈₃	C₂³	1	6	yes	—
238	#123×C₈₃	C₂³	1	6	yes	—
239	#123×C₈₃	C₂³	1	6	yes	—
240	#123×C₈₃	C₂³	1	2	yes	—
241	#123×C₈₃	C₂³	1	6	yes	—
242	#123×C₈₃	C₂³	1	6	yes	—
243	#123×C₈₃	C₂³	1	12	yes	—
244	#123×C₈₃	C₂³	1	6	yes	—
245	#123×C₈₃	C₂³	1	6	yes	—
246	#123×C₈₃	C₂³	1	12	yes	—
247	#123×C₈₃	C₂³	1	12	yes	—
248	#123×C₈₃	C₂³	1	12	yes	—
249	#123×C₈₃	C₂³	1	12	yes	—
250	#123×C₈₃	C₂³	1	12	yes	—
251	#123×C₈₃	C₂³	1	12	yes	—
252	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
253	C₂²⋊Q₈×C₈₃	C₂³	1	3	yes	—
254	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
255	C₂²⋊Q₈×C₈₃	C₂³	1	12	yes	—
256	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
257	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
258	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
259	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
260	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
261	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
262	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
263	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
264	C₂²⋊Q₈×C₈₃	C₂³	1	3	yes	—
265	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
266	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
267	C₂²⋊Q₈×C₈₃	C₂³	1	3	yes	—
268	C₂²⋊Q₈×C₈₃	C₂³	1	3	yes	—
269	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
270	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
271	C₂²⋊Q₈×C₈₃	C₂³	1	6	yes	—
272	C₂²⋊Q₈×C₈₃	C₂³	1	12	yes	—
273	C₂²⋊Q₈×C₈₃	C₂³	1	12	yes	—
274	C₂²⋊Q₈×C₈₃	C₂³	1	12	yes	—
275	C₂²⋊Q₈×C₈₃	C₂³	1	12	yes	—
276	#121×C₈₃	C₂³	1	6	yes	—
277	#121×C₈₃	C₂³	1	6	yes	—
278	#121×C₈₃	C₂³	1	2	yes	—
279	#121×C₈₃	C₂³	1	3	yes	—
280	#121×C₈₃	C₂³	1	6	yes	—
281	#121×C₈₃	C₂³	1	6	yes	—
282	#121×C₈₃	C₂³	1	6	yes	—
283	#121×C₈₃	C₂³	1	6	yes	—
284	#121×C₈₃	C₂³	1	1	yes	characteristic
285	#121×C₈₃	C₂³	1	3	yes	—
286	#121×C₈₃	C₂³	1	6	yes	—
287	#121×C₈₃	C₂³	1	3	yes	—
288	#121×C₈₃	C₂³	1	6	yes	—
289	#121×C₈₃	C₂³	1	6	yes	—
290	#121×C₈₃	C₂³	1	3	yes	—
291	#121×C₈₃	C₂³	1	3	yes	—
292	#121×C₈₃	C₂³	1	6	yes	—
293	#121×C₈₃	C₂³	1	6	yes	—
294	#121×C₈₃	C₂³	1	6	yes	—
295	#121×C₈₃	C₂³	1	3	yes	—
296	#121×C₈₃	C₂³	1	1	yes	characteristic
297	#121×C₈₃	C₂³	1	2	yes	—
298	#121×C₈₃	C₂³	1	6	yes	—
299	#121×C₈₃	C₂³	1	6	yes	—
300	#121×C₈₃	C₂³	1	6	yes	—
301	#121×C₈₃	C₂³	1	6	yes	—
302	#121×C₈₃	C₂³	1	6	yes	—
303	#121×C₈₃	C₂³	1	3	yes	—
304	#121×C₈₃	C₂³	1	3	yes	—
305	#121×C₈₃	C₂³	1	12	yes	—
306	#121×C₈₃	C₂³	1	6	yes	—
307	#121×C₈₃	C₂³	1	6	yes	—
308	#121×C₈₃	C₂³	1	6	yes	—
309	#121×C₈₃	C₂³	1	12	yes	—
310	#121×C₈₃	C₂³	1	12	yes	—
311	#121×C₈₃	C₂³	1	12	yes	—
312	#121×C₈₃	C₂³	1	12	yes	—
313	#121×C₈₃	C₂³	1	12	yes	—
314	#121×C₈₃	C₂³	1	12	yes	—
315	#121×C₈₃	C₂³	1	12	yes	—
316	#121×C₈₃	C₂³	1	12	yes	—
317	#120×C₈₃	C₂³	1	12	yes	—
318	#120×C₈₃	C₂³	1	6	yes	—
319	#120×C₈₃	C₂³	1	6	yes	—
320	#120×C₈₃	C₂³	1	6	yes	—
321	#120×C₈₃	C₂³	1	6	yes	—
322	#120×C₈₃	C₂³	1	12	yes	—
323	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
324	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
325	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
326	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
327	C₄×Q₈×C₈₃	C₂³	1	3	yes	—
328	C₄×Q₈×C₈₃	C₂³	1	6	yes	—
329	C₄×Q₈×C₈₃	C₂³	1	3	yes	—
330	C₄×Q₈×C₈₃	C₂³	1	6	yes	—
331	C₄×Q₈×C₈₃	C₂³	1	3	yes	—
332	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
333	C₄×Q₈×C₈₃	C₂³	1	3	yes	—
334	C₄×Q₈×C₈₃	C₂³	1	3	yes	—
335	C₄×Q₈×C₈₃	C₂³	1	3	yes	—
336	C₄×Q₈×C₈₃	C₂³	1	6	yes	—
337	C₄×Q₈×C₈₃	C₂³	1	6	yes	—
338	C₄×Q₈×C₈₃	C₂³	1	6	yes	—
339	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
340	C₄×D₄×C₈₃	C₂³	1	3	yes	—
341	C₄×D₄×C₈₃	C₂³	1	6	yes	—
342	C₄×D₄×C₈₃	C₂³	1	3	yes	—
343	C₄×D₄×C₈₃	C₂³	1	6	yes	—
344	C₄×D₄×C₈₃	C₂³	1	3	yes	—
345	C₄×D₄×C₈₃	C₂³	1	3	yes	—
346	C₄×D₄×C₈₃	C₂³	1	3	yes	—
347	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
348	C₄×D₄×C₈₃	C₂³	1	3	yes	—
349	C₄×D₄×C₈₃	C₂³	1	6	yes	—
350	C₄×D₄×C₈₃	C₂³	1	3	yes	—
351	C₄×D₄×C₈₃	C₂³	1	6	yes	—
352	C₄×D₄×C₈₃	C₂³	1	3	yes	—
353	C₄×D₄×C₈₃	C₂³	1	3	yes	—
354	C₄×D₄×C₈₃	C₂³	1	3	yes	—
355	C₄×D₄×C₈₃	C₂³	1	3	yes	—
356	C₄×D₄×C₈₃	C₂³	1	3	yes	—
357	C₄×D₄×C₈₃	C₂³	1	3	yes	—
358	C₄×D₄×C₈₃	C₂³	1	3	yes	—
359	C₄×D₄×C₈₃	C₂³	1	12	yes	—
360	C₄×D₄×C₈₃	C₂³	1	6	yes	—
361	C₄×D₄×C₈₃	C₂³	1	6	yes	—
362	C₄×D₄×C₈₃	C₂³	1	12	yes	—
363	C₄×D₄×C₈₃	C₂³	1	6	yes	—
364	C₄×D₄×C₈₃	C₂³	1	6	yes	—
365	C₄×D₄×C₈₃	C₂³	1	6	yes	—
366	C₄×D₄×C₈₃	C₂³	1	6	yes	—
367	C₄×D₄×C₈₃	C₂³	1	6	yes	—
368	C₄×D₄×C₈₃	C₂³	1	6	yes	—
369	C₄×D₄×C₈₃	C₂³	1	12	yes	—
370	C₄×D₄×C₈₃	C₂³	1	6	yes	—
371	C₄×D₄×C₈₃	C₂³	1	12	yes	—
372	C₄×D₄×C₈₃	C₂³	1	6	yes	—
373	C₄×D₄×C₈₃	C₂³	1	6	yes	—
374	C₄×D₄×C₈₃	C₂³	1	12	yes	—
375	#117×C₈₃	C₂³	1	3	yes	—
376	#117×C₈₃	C₂³	1	1	yes	characteristic
377	#117×C₈₃	C₂³	1	3	yes	—
378	#117×C₈₃	C₂³	1	3	yes	—
379	#117×C₈₃	C₂³	1	3	yes	—
380	#117×C₈₃	C₂³	1	3	yes	—
381	#117×C₈₃	C₂³	1	6	yes	—
382	#117×C₈₃	C₂³	1	6	yes	—
383	#117×C₈₃	C₂³	1	6	yes	—
384	#117×C₈₃	C₂³	1	6	yes	—
385	#117×C₈₃	C₂³	1	12	yes	—
386	#117×C₈₃	C₂³	1	6	yes	—
387	#117×C₈₃	C₂³	1	6	yes	—
388	C₂×C₄⋊C₄×C₈₃	C₂³	1	3	yes	—
389	C₂×C₄⋊C₄×C₈₃	C₂³	1	6	yes	—
390	C₂×C₄⋊C₄×C₈₃	C₂³	1	3	yes	—
391	C₂×C₄⋊C₄×C₈₃	C₂³	1	6	yes	—
392	C₂×C₄⋊C₄×C₈₃	C₂³	1	12	yes	—
393	C₂×C₄⋊C₄×C₈₃	C₂³	1	6	yes	—
394	C₂×C₄⋊C₄×C₈₃	C₂³	1	6	yes	—
395	C₂×C₂²⋊C₄×C₈₃	C₂³	1	6	yes	—
396	C₂×C₂²⋊C₄×C₈₃	C₂³	1	12	yes	—
397	C₂×C₄²×C₈₃	C₂³	1	3	yes	—
398	C₂×C₄²×C₈₃	C₂³	1	3	yes	—
399	C₂×C₄²×C₈₃	C₂³	1	6	yes	—
400	C₂×C₄²×C₈₃	C₂³	1	3	yes	—
401	C₂⁴×C₈₃	C₂⁴	1	6	yes	—
402	#41×C₈₃	—	2	4	no	—
403	#41×C₈₃	—	2	8	no	—
404	#41×C₈₃	—	2	4	no	—
405	#41×C₈₃	—	4	6	no	—
406	#41×C₈₃	—	4	12	no	—
407	#41×C₈₃	—	4	12	no	—
408	#41×C₈₃	—	4	12	no	—
409	#41×C₈₃	—	4	12	no	—
410	#41×C₈₃	—	4	6	no	—
411	#41×C₈₃	—	4	12	no	—
412	#41×C₈₃	—	4	12	no	—
413	#41×C₈₃	—	4	12	no	—
414	#41×C₈₃	—	4	12	no	—
415	#41×C₈₃	—	4	12	no	—
416	C₂×Q₈×C₈₃	—	2	8	no	—
417	C₂×Q₈×C₈₃	—	2	4	no	—
418	C₂×Q₈×C₈₃	—	2	8	no	—
419	C₂×Q₈×C₈₃	—	4	12	no	—
420	C₂×Q₈×C₈₃	—	4	12	no	—
421	C₂×Q₈×C₈₃	C₂⁴	1	3	yes	—
422	C₂×Q₈×C₈₃	C₂⁴	1	3	yes	—
423	C₂×Q₈×C₈₃	C₂⁴	1	6	yes	—
424	C₂×Q₈×C₈₃	C₂⁴	1	6	yes	—
425	C₂×Q₈×C₈₃	C₂⁴	1	3	yes	—
426	C₂×Q₈×C₈₃	C₂⁴	1	6	yes	—
427	C₂×Q₈×C₈₃	C₂⁴	1	6	yes	—
428	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
429	C₂×D₄×C₈₃	—	4	6	no	—
430	C₂×D₄×C₈₃	—	4	12	no	—
431	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
432	C₂×D₄×C₈₃	C₂⁴	1	3	yes	—
433	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
434	C₂×D₄×C₈₃	C₂⁴	1	3	yes	—
435	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
436	C₂×D₄×C₈₃	C₂⁴	1	3	yes	—
437	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
438	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
439	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
440	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
441	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
442	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
443	C₂×D₄×C₈₃	C₂⁴	1	3	yes	—
444	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
445	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
446	C₂×D₄×C₈₃	C₂⁴	1	3	yes	—
447	C₂×D₄×C₈₃	C₂⁴	1	12	yes	—
448	C₂×D₄×C₈₃	C₂⁴	1	3	yes	—
449	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
450	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
451	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
452	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
453	C₂×D₄×C₈₃	C₂⁴	1	12	yes	—
454	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
455	C₂×D₄×C₈₃	C₂⁴	1	6	yes	—
456	C₂²×C₄×C₈₃	—	4	12	no	—
457	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₈₃	C₂⁴	1	3	yes	—
459	C₂²×C₄×C₈₃	C₂⁴	1	3	yes	—
460	C₂²×C₄×C₈₃	C₂⁴	1	3	yes	—
461	C₂²×C₄×C₈₃	C₂⁴	1	6	yes	—
462	C₂²×C₄×C₈₃	C₂⁴	1	3	yes	—
463	C₂²×C₄×C₈₃	C₂⁴	1	3	yes	—
464	C₂²×C₄×C₈₃	C₂⁴	1	6	yes	—
465	C₂²×C₄×C₈₃	C₂⁴	1	6	yes	—
466	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
467	C₂²×C₄×C₈₃	C₂⁴	1	3	yes	—
468	C₂²×C₄×C₈₃	C₂⁴	1	3	yes	—
469	C₂²×C₄×C₈₃	C₂⁴	1	6	yes	—
470	C₂²×C₄×C₈₃	C₂⁴	1	3	yes	—
471	C₂²×C₄×C₈₃	C₂⁴	1	12	yes	—
472	C₂²×C₄×C₈₃	C₂⁴	1	12	yes	—
473	C₂²×C₄×C₈₃	C₂⁴	1	6	yes	—
474	C₂²×C₄×C₈₃	C₂⁴	1	6	yes	—
475	C₂²×C₄×C₈₃	C₂⁴	1	12	yes	—
476	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
477	C₄⋊C₄×C₈₃	C₂⁴	1	3	yes	—
478	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
479	C₄⋊C₄×C₈₃	C₂⁴	1	3	yes	—
480	C₄⋊C₄×C₈₃	C₂⁴	1	3	yes	—
481	C₄⋊C₄×C₈₃	C₂⁴	1	3	yes	—
482	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
483	C₄⋊C₄×C₈₃	C₂⁴	1	3	yes	—
484	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
485	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
486	C₄⋊C₄×C₈₃	C₂⁴	1	12	yes	—
487	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
488	C₄⋊C₄×C₈₃	C₂⁴	1	3	yes	—
489	C₄⋊C₄×C₈₃	C₂⁴	1	3	yes	—
490	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
491	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
492	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
493	C₄⋊C₄×C₈₃	C₂⁴	1	12	yes	—
494	C₄⋊C₄×C₈₃	C₂⁴	1	12	yes	—
495	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
496	C₄⋊C₄×C₈₃	C₂⁴	1	3	yes	—
497	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
498	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
499	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
500	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
501	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
502	C₄⋊C₄×C₈₃	C₂⁴	1	3	yes	—
503	C₄⋊C₄×C₈₃	C₂⁴	1	3	yes	—
504	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
505	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
506	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
507	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
508	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
509	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
510	C₄⋊C₄×C₈₃	C₂⁴	1	6	yes	—
511	C₂²⋊C₄×C₈₃	C₂⁴	1	2	yes	—
512	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
513	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
514	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
515	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
516	C₂²⋊C₄×C₈₃	C₂⁴	1	12	yes	—
517	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
518	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
519	C₂²⋊C₄×C₈₃	C₂⁴	1	2	yes	—
520	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
521	C₂²⋊C₄×C₈₃	C₂⁴	1	2	yes	—
522	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
523	C₂²⋊C₄×C₈₃	C₂⁴	1	3	yes	—
524	C₂²⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
525	C₂²⋊C₄×C₈₃	C₂⁴	1	3	yes	—
526	C₂²⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
527	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
528	C₂²⋊C₄×C₈₃	C₂⁴	1	3	yes	—
529	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
530	C₂²⋊C₄×C₈₃	C₂⁴	1	3	yes	—
531	C₂²⋊C₄×C₈₃	C₂⁴	1	12	yes	—
532	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
533	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
534	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
535	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
536	C₂²⋊C₄×C₈₃	C₂⁴	1	12	yes	—
537	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
538	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
539	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
540	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
541	C₂²⋊C₄×C₈₃	C₂⁴	1	6	yes	—
542	C₂²⋊C₄×C₈₃	C₂⁴	1	2	yes	—
543	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
544	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
545	C₄²×C₈₃	C₂⁴	1	3	yes	—
546	C₄²×C₈₃	C₂⁴	1	3	yes	—
547	C₄²×C₈₃	C₂⁴	1	3	yes	—
548	C₄²×C₈₃	C₂⁴	1	6	yes	—
549	C₄²×C₈₃	C₂⁴	1	3	yes	—
550	C₄²×C₈₃	C₂⁴	1	6	yes	—
551	C₄²×C₈₃	C₂⁴	1	3	yes	—
552	C₄²×C₈₃	C₂⁴	1	3	yes	—
553	C₄²×C₈₃	C₂⁴	1	3	yes	—
554	C₄²×C₈₃	C₂⁴	1	6	yes	—
555	C₄²×C₈₃	C₂⁴	1	3	yes	—
556	C₄²×C₈₃	C₂⁴	1	12	yes	—
557	C₂³×C₈₃	—	4	6	no	—
558	C₂³×C₈₃	—	4	6	no	—
559	C₂³×C₈₃	—	4	6	no	—
560	C₂³×C₈₃	C₂⁵	1	2	yes	—
561	C₂³×C₈₃	C₂⁵	1	3	yes	—
562	C₂³×C₈₃	C₂⁵	1	6	yes	—
563	C₂³×C₈₃	C₂⁵	1	1	yes	characteristic
564	C₂³×C₈₃	C₂⁵	1	2	yes	—
565	C₂³×C₈₃	C₂⁵	1	3	yes	—
566	Q₈×C₈₃	—	2	6	no	—
567	Q₈×C₈₃	—	2	12	no	—
568	Q₈×C₈₃	—	2	12	no	—
569	Q₈×C₈₃	—	2	6	no	—
570	Q₈×C₈₃	—	4	6	no	—
571	Q₈×C₈₃	—	4	6	no	—
572	Q₈×C₈₃	—	4	3	no	—
573	Q₈×C₈₃	H(5,𝔽₂)	1	4	yes	—
574	D₄×C₈₃	—	2	6	no	—
575	D₄×C₈₃	—	2	12	no	—
576	D₄×C₈₃	—	2	6	no	—
577	D₄×C₈₃	—	2	2	no	—
578	D₄×C₈₃	—	2	6	no	—
579	D₄×C₈₃	—	2	2	no	—
580	D₄×C₈₃	—	4	6	no	—
581	D₄×C₈₃	—	4	12	no	—
582	D₄×C₈₃	—	4	2	no	—
583	D₄×C₈₃	—	4	6	no	—
584	D₄×C₈₃	—	4	2	no	—
585	D₄×C₈₃	—	4	6	no	—
586	D₄×C₈₃	—	4	6	no	—
587	D₄×C₈₃	—	4	6	no	—
588	D₄×C₈₃	—	4	3	no	—
589	D₄×C₈₃	—	4	3	no	—
590	D₄×C₈₃	—	4	3	no	—
591	D₄×C₈₃	—	4	12	no	—
592	D₄×C₈₃	—	4	6	no	—
593	D₄×C₈₃	—	4	2	no	—
594	D₄×C₈₃	—	4	2	no	—
595	D₄×C₈₃	—	4	6	no	—
596	D₄×C₈₃	—	4	6	no	—
597	D₄×C₈₃	—	4	6	no	—
598	D₄×C₈₃	—	4	6	no	—
599	C₂×C₄×C₈₃	—	2	6	no	—
600	C₂×C₄×C₈₃	—	2	12	no	—
601	C₂×C₄×C₈₃	—	2	12	no	—
602	C₂×C₄×C₈₃	—	2	6	no	—
603	C₂×C₄×C₈₃	—	2	12	no	—
604	C₂×C₄×C₈₃	—	2	6	no	—
605	C₂×C₄×C₈₃	—	2	6	no	—
606	C₂×C₄×C₈₃	—	2	6	no	—
607	C₂×C₄×C₈₃	—	2	2	no	—
608	C₂×C₄×C₈₃	—	4	2	no	—
609	C₂×C₄×C₈₃	—	4	6	no	—
610	C₂×C₄×C₈₃	—	4	6	no	—
611	C₂×C₄×C₈₃	—	4	3	no	—
612	C₂×C₄×C₈₃	—	4	2	no	—
613	C₂×C₄×C₈₃	—	4	3	no	—
614	C₂×C₄×C₈₃	—	4	3	no	—
615	C₂×C₄×C₈₃	—	4	12	no	—
616	C₂×C₄×C₈₃	—	4	12	no	—
617	C₂×C₄×C₈₃	—	4	12	no	—
618	C₂×C₄×C₈₃	—	4	6	no	—
619	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
620	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
621	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
622	C₂×C₄×C₈₃	C₂⁵	1	3	yes	—
623	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
624	C₂×C₄×C₈₃	C₂⁵	1	3	yes	—
625	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
626	C₂×C₄×C₈₃	C₂⁵	1	3	yes	—
627	C₂×C₄×C₈₃	C₂⁵	1	6	yes	—
628	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
629	C₂×C₄×C₈₃	C₂⁵	1	3	yes	—
630	C₂×C₄×C₈₃	C₂⁵	1	6	yes	—
631	C₂×C₄×C₈₃	C₂⁵	1	3	yes	—
632	C₂×C₄×C₈₃	C₂⁵	1	6	yes	—
633	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
634	C₂×C₄×C₈₃	C₂⁵	1	3	yes	—
635	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
636	C₂²×C₈₃	—	2	2	no	—
637	C₂²×C₈₃	—	2	1	no	—
638	C₂²×C₈₃	—	2	2	no	—
639	C₂²×C₈₃	—	2	3	no	—
640	C₂²×C₈₃	—	2	6	no	—
641	C₂²×C₈₃	—	2	3	no	—
642	C₂²×C₈₃	—	2	1	no	—
643	C₂²×C₈₃	—	2	3	no	—
644	C₂²×C₈₃	—	2	3	no	—
645	C₂²×C₈₃	—	2	2	no	—
646	C₂²×C₈₃	—	2	6	no	—
647	C₂²×C₈₃	—	2	2	no	—
648	C₂²×C₈₃	—	2	1	no	—
649	C₂²×C₈₃	—	2	2	no	—
650	C₂²×C₈₃	—	2	3	no	—
651	C₂²×C₈₃	—	2	3	no	—
652	C₂²×C₈₃	—	2	6	no	—
653	C₂²×C₈₃	—	2	2	no	—
654	C₂²×C₈₃	—	8	12	no	—
655	C₂²×C₈₃	C₂⁶	1	1	yes	characteristic
656	C₄×C₈₃	—	2	1	no	—
657	C₄×C₈₃	—	2	2	no	—
658	C₄×C₈₃	—	2	1	no	—
659	C₄×C₈₃	—	2	6	no	—
660	C₄×C₈₃	—	2	6	no	—
661	C₄×C₈₃	—	2	3	no	—
662	C₄×C₈₃	—	2	3	no	—
663	C₄×C₈₃	—	2	3	no	—
664	C₄×C₈₃	—	2	1	no	—
665	C₄×C₈₃	—	2	6	no	—
666	C₄×C₈₃	—	2	1	no	—
667	C₄×C₈₃	—	2	3	no	—
668	C₄×C₈₃	—	2	1	no	—
669	C₄×C₈₃	—	2	2	no	—
670	C₄×C₈₃	—	2	3	no	—
671	C₄×C₈₃	C₂×H(5,𝔽₂)	1	6	yes	—
672	C₄×C₈₃	#585	1	2	yes	—
673	#62922	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
674	C₂×C₈₃	—	4	1	no	—
675	C₂×C₈₃	—	4	2	no	—
676	C₂×C₈₃	—	4	3	no	—
677	C₂×C₈₃	—	4	6	no	—
678	C₂×C₈₃	—	4	3	no	—
679	C₂×C₈₃	—	4	2	no	—
680	C₂×C₈₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
681	C₂×C₈₃	C₂×#585	1	1	yes	characteristic
682	C₂×C₈₃	2₋¹⁺⁶	1	1	yes	characteristic
683	#3562	C₂×C₈₃	1	6	yes	complemented
684	#3552	C₂×C₈₃	1	3	yes	complemented
685	#3551	C₂×C₈₃	1	6	yes	complemented
686	#3548	C₂×C₈₃	1	3	yes	complemented
687	#3546	C₂×C₈₃	1	3	yes	complemented
688	#3546	C₂×C₈₃	1	3	yes	complemented
689	#3541	C₂×C₈₃	1	6	yes	complemented
690	#3539	C₂×C₈₃	1	6	yes	complemented
691	#3523	C₂×C₈₃	1	1	yes	characteristic, complemented
692	#3520	C₂×C₈₃	1	3	yes	complemented
693	#3517	C₂×C₈₃	1	3	yes	complemented
694	#3517	C₂×C₈₃	1	1	yes	characteristic, complemented
695	#3516	C₂×C₈₃	1	2	yes	complemented
696	#3511	C₂×C₈₃	1	3	yes	complemented
697	#3499	C₂×C₈₃	1	1	yes	characteristic, complemented
698	#3497	C₂×C₈₃	1	2	yes	complemented
699	#3497	C₂×C₈₃	1	1	yes	characteristic, complemented
700	#3489	C₂×C₈₃	1	2	yes	complemented
701	#3487	C₂×C₈₃	1	2	yes	complemented
702	#3482	C₂×C₈₃	1	1	yes	characteristic, complemented
703	#3480	C₂×C₈₃	1	1	yes	characteristic, complemented
704	D₄×#41	C₂×C₈₃	1	1	yes	characteristic, complemented
705	#3460	C₂×C₈₃	1	3	yes	complemented
706	C₈₃	#62922	1	1	yes	characteristic, direct product factor, Sylow
707	C₂×2₋¹⁺⁴	C₂²×C₈₃	1	2	yes	complemented
708	C₂×2₋¹⁺⁴	C₂²×C₈₃	1	2	yes	complemented
709	C₂²×#41	C₂²×C₈₃	1	2	yes	—
710	#563	C₂²×C₈₃	1	12	yes	complemented
711	#562	C₂²×C₈₃	1	12	yes	complemented
712	#560	C₂²×C₈₃	1	12	yes	complemented
713	#560	C₂²×C₈₃	1	12	yes	complemented
714	#559	C₂²×C₈₃	1	3	yes	complemented
715	#557	C₂²×C₈₃	1	1	yes	characteristic, complemented
716	#557	C₂²×C₈₃	1	1	yes	characteristic, complemented
717	#557	C₂²×C₈₃	1	3	yes	complemented
718	#556	C₂²×C₈₃	1	3	yes	—
719	#556	C₂²×C₈₃	1	3	yes	complemented
720	#556	C₂²×C₈₃	1	3	yes	complemented
721	#556	C₂²×C₈₃	1	6	yes	complemented
722	#555	C₂²×C₈₃	1	6	yes	complemented
723	#554	C₂²×C₈₃	1	6	yes	complemented
724	#554	C₂²×C₈₃	1	6	yes	complemented
725	#554	C₂²×C₈₃	1	6	yes	complemented
726	#553	C₂²×C₈₃	1	3	yes	complemented
727	#553	C₂²×C₈₃	1	3	yes	complemented
728	#553	C₂²×C₈₃	1	6	yes	complemented
729	#553	C₂²×C₈₃	1	6	yes	complemented
730	#553	C₂²×C₈₃	1	6	yes	complemented
731	#553	C₂²×C₈₃	1	12	yes	complemented
732	#553	C₂²×C₈₃	1	6	yes	complemented
733	#553	C₂²×C₈₃	1	6	yes	complemented
734	#552	C₂²×C₈₃	1	6	yes	complemented
735	#552	C₂²×C₈₃	1	6	yes	complemented
736	#552	C₂²×C₈₃	1	6	yes	complemented
737	#551	C₂²×C₈₃	1	12	yes	complemented
738	#550	C₂²×C₈₃	1	1	yes	characteristic
739	#550	C₂²×C₈₃	1	1	yes	characteristic
740	#550	C₂²×C₈₃	1	2	yes	complemented
741	#550	C₂²×C₈₃	1	6	yes	complemented
742	#550	C₂²×C₈₃	1	6	yes	complemented
743	#550	C₂²×C₈₃	1	3	yes	complemented
744	#550	C₂²×C₈₃	1	6	yes	complemented
745	#550	C₂²×C₈₃	1	3	yes	complemented
746	#550	C₂²×C₈₃	1	6	yes	complemented
747	D₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic
748	D₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic, complemented
749	D₄×Q₈	C₂²×C₈₃	1	2	yes	complemented
750	D₄×Q₈	C₂²×C₈₃	1	2	yes	complemented
751	D₄×Q₈	C₂²×C₈₃	1	3	yes	complemented
752	D₄×Q₈	C₂²×C₈₃	1	6	yes	complemented
753	#548	C₂²×C₈₃	1	2	yes	—
754	#548	C₂²×C₈₃	1	1	yes	characteristic
755	#548	C₂²×C₈₃	1	2	yes	—
756	#548	C₂²×C₈₃	1	1	yes	characteristic, complemented
757	#548	C₂²×C₈₃	1	2	yes	complemented
758	#548	C₂²×C₈₃	1	6	yes	complemented
759	#548	C₂²×C₈₃	1	6	yes	complemented
760	#548	C₂²×C₈₃	1	6	yes	complemented
761	#548	C₂²×C₈₃	1	6	yes	complemented
762	#548	C₂²×C₈₃	1	6	yes	complemented
763	#547	C₂²×C₈₃	1	3	yes	—
764	#547	C₂²×C₈₃	1	3	yes	—
765	#547	C₂²×C₈₃	1	3	yes	complemented
766	#547	C₂²×C₈₃	1	6	yes	complemented
767	#547	C₂²×C₈₃	1	6	yes	complemented
768	#547	C₂²×C₈₃	1	3	yes	complemented
769	#547	C₂²×C₈₃	1	6	yes	complemented
770	#547	C₂²×C₈₃	1	3	yes	complemented
771	#546	C₂²×C₈₃	1	6	yes	—
772	#546	C₂²×C₈₃	1	6	yes	—
773	#546	C₂²×C₈₃	1	6	yes	complemented
774	#546	C₂²×C₈₃	1	6	yes	complemented
775	D₄²	C₂²×C₈₃	1	3	yes	—
776	#544	C₂²×C₈₃	1	3	yes	complemented
777	#542	C₂²×C₈₃	1	3	yes	—
778	#542	C₂²×C₈₃	1	3	yes	complemented
779	#542	C₂²×C₈₃	1	6	yes	complemented
780	#542	C₂²×C₈₃	1	6	yes	complemented
781	#542	C₂²×C₈₃	1	6	yes	complemented
782	#541	C₂²×C₈₃	1	6	yes	complemented
783	#541	C₂²×C₈₃	1	6	yes	complemented
784	#540	C₂²×C₈₃	1	1	yes	characteristic
785	#540	C₂²×C₈₃	1	3	yes	complemented
786	#540	C₂²×C₈₃	1	6	yes	complemented
787	#540	C₂²×C₈₃	1	6	yes	complemented
788	#540	C₂²×C₈₃	1	12	yes	complemented
789	#540	C₂²×C₈₃	1	12	yes	complemented
790	#539	C₂²×C₈₃	1	12	yes	complemented
791	#539	C₂²×C₈₃	1	12	yes	complemented
792	#538	C₂²×C₈₃	1	6	yes	complemented
793	#538	C₂²×C₈₃	1	6	yes	complemented
794	#538	C₂²×C₈₃	1	12	yes	complemented
795	#538	C₂²×C₈₃	1	12	yes	complemented
796	#537	C₂²×C₈₃	1	3	yes	complemented
797	#537	C₂²×C₈₃	1	6	yes	complemented
798	#537	C₂²×C₈₃	1	6	yes	complemented
799	#537	C₂²×C₈₃	1	6	yes	complemented
800	#537	C₂²×C₈₃	1	6	yes	complemented
801	#537	C₂²×C₈₃	1	6	yes	complemented
802	#536	C₂²×C₈₃	1	6	yes	complemented
803	#536	C₂²×C₈₃	1	6	yes	complemented
804	#535	C₂²×C₈₃	1	3	yes	—
805	#535	C₂²×C₈₃	1	3	yes	—
806	#535	C₂²×C₈₃	1	6	yes	complemented
807	#535	C₂²×C₈₃	1	6	yes	complemented
808	#533	C₂²×C₈₃	1	3	yes	complemented
809	#533	C₂²×C₈₃	1	3	yes	complemented
810	#532	C₂²×C₈₃	1	3	yes	—
811	#532	C₂²×C₈₃	1	3	yes	—
812	#532	C₂²×C₈₃	1	3	yes	complemented
813	#532	C₂²×C₈₃	1	6	yes	complemented
814	#532	C₂²×C₈₃	1	3	yes	complemented
815	#532	C₂²×C₈₃	1	3	yes	complemented
816	#532	C₂²×C₈₃	1	6	yes	complemented
817	#532	C₂²×C₈₃	1	3	yes	complemented
818	C₂×C₄⋊Q₈	C₂²×C₈₃	1	3	yes	complemented
819	#529	C₂²×C₈₃	1	3	yes	—
820	#529	C₂²×C₈₃	1	6	yes	complemented
821	#529	C₂²×C₈₃	1	3	yes	complemented
822	#529	C₂²×C₈₃	1	3	yes	complemented
823	#529	C₂²×C₈₃	1	3	yes	complemented
824	#529	C₂²×C₈₃	1	6	yes	complemented
825	#529	C₂²×C₈₃	1	6	yes	complemented
826	#525	C₂²×C₈₃	1	6	yes	—
827	#525	C₂²×C₈₃	1	6	yes	complemented
828	#525	C₂²×C₈₃	1	6	yes	complemented
829	#525	C₂²×C₈₃	1	6	yes	complemented
830	C₂×C₂²⋊Q₈	C₂²×C₈₃	1	6	yes	complemented
831	#520	C₂²×C₈₃	1	2	yes	complemented
832	#520	C₂²×C₈₃	1	6	yes	complemented
833	#519	C₂²×C₈₃	1	2	yes	complemented
834	C₄×#41	C₂²×C₈₃	1	1	yes	characteristic
835	C₄×#41	C₂²×C₈₃	1	3	yes	complemented
836	C₄×#41	C₂²×C₈₃	1	3	yes	complemented
837	C₄×#41	C₂²×C₈₃	1	1	yes	characteristic, complemented
838	C₂×C₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic, complemented
839	C₂×C₄×Q₈	C₂²×C₈₃	1	2	yes	complemented
840	C₂×C₄×D₄	C₂²×C₈₃	1	3	yes	—
841	2₋¹⁺⁴	—	4	8	no	—
842	2₋¹⁺⁴	—	4	8	no	—
843	C₂×#41	—	4	8	no	—
844	C₂×#41	C₂³×C₈₃	1	1	yes	characteristic
845	C₂×#41	C₂³×C₈₃	1	1	yes	characteristic
846	C₂×#41	C₂³×C₈₃	1	2	yes	—
847	C₂×#41	C₂³×C₈₃	1	3	yes	—
848	C₂×#41	C₂³×C₈₃	1	3	yes	—
849	C₂×#41	C₂³×C₈₃	1	6	yes	—
850	C₂×#41	C₂³×C₈₃	1	6	yes	—
851	C₂×#41	C₂³×C₈₃	1	6	yes	—
852	C₂×#41	C₂³×C₈₃	1	6	yes	—
853	C₂×#41	C₂³×C₈₃	1	6	yes	—
854	C₂×#41	C₂³×C₈₃	1	6	yes	—
855	C₂×#41	C₂³×C₈₃	1	6	yes	—
856	C₂×#41	C₂³×C₈₃	1	6	yes	—
857	C₂×#41	C₂³×C₈₃	1	6	yes	—
858	C₂²×Q₈	C₂³×C₈₃	1	1	yes	characteristic
859	C₂²×Q₈	C₂³×C₈₃	1	2	yes	—
860	C₂²×Q₈	C₂³×C₈₃	1	2	yes	—
861	C₂²×Q₈	C₂³×C₈₃	1	6	yes	—
862	C₂²×Q₈	C₂³×C₈₃	1	6	yes	—
863	C₂²×D₄	C₂³×C₈₃	1	3	yes	—
864	C₂²×D₄	C₂³×C₈₃	1	6	yes	—
865	C₂³×C₄	C₂³×C₈₃	1	6	yes	—
866	C₄⋊Q₈	C₂³×C₈₃	1	3	yes	—
867	C₄⋊Q₈	C₂³×C₈₃	1	3	yes	—
868	C₄⋊Q₈	C₂³×C₈₃	1	3	yes	—
869	C₄⋊Q₈	C₂³×C₈₃	1	6	yes	—
870	C₄⋊Q₈	C₂³×C₈₃	1	6	yes	—
871	C₄⋊Q₈	C₂³×C₈₃	1	3	yes	—
872	C₄⋊Q₈	C₂³×C₈₃	1	6	yes	—
873	C₄⋊Q₈	C₂³×C₈₃	1	3	yes	—
874	C₄⋊Q₈	C₂³×C₈₃	1	3	yes	—
875	C₄⋊Q₈	C₂³×C₈₃	1	6	yes	—
876	#127	C₂³×C₈₃	1	1	yes	characteristic
877	#127	C₂³×C₈₃	1	3	yes	—
878	#127	C₂³×C₈₃	1	3	yes	—
879	#127	C₂³×C₈₃	1	6	yes	—
880	#127	C₂³×C₈₃	1	3	yes	—
881	#127	C₂³×C₈₃	1	6	yes	—
882	#127	C₂³×C₈₃	1	12	yes	—
883	#126	C₂³×C₈₃	1	6	yes	—
884	#126	C₂³×C₈₃	1	6	yes	—
885	#126	C₂³×C₈₃	1	12	yes	—
886	#126	C₂³×C₈₃	1	6	yes	—
887	#126	C₂³×C₈₃	1	6	yes	—
888	#126	C₂³×C₈₃	1	6	yes	—
889	#126	C₂³×C₈₃	1	6	yes	—
890	#126	C₂³×C₈₃	1	12	yes	—
891	#126	C₂³×C₈₃	1	12	yes	—
892	#126	C₂³×C₈₃	1	12	yes	—
893	#125	C₂³×C₈₃	1	3	yes	—
894	#125	C₂³×C₈₃	1	1	yes	characteristic
895	#125	C₂³×C₈₃	1	3	yes	—
896	#125	C₂³×C₈₃	1	6	yes	—
897	#125	C₂³×C₈₃	1	6	yes	—
898	#125	C₂³×C₈₃	1	3	yes	—
899	#125	C₂³×C₈₃	1	6	yes	—
900	#125	C₂³×C₈₃	1	6	yes	—
901	#125	C₂³×C₈₃	1	12	yes	—
902	#125	C₂³×C₈₃	1	12	yes	—
903	#124	C₂³×C₈₃	1	3	yes	—
904	#124	C₂³×C₈₃	1	6	yes	—
905	#124	C₂³×C₈₃	1	3	yes	—
906	#124	C₂³×C₈₃	1	3	yes	—
907	#124	C₂³×C₈₃	1	6	yes	—
908	#124	C₂³×C₈₃	1	6	yes	—
909	#124	C₂³×C₈₃	1	3	yes	—
910	#124	C₂³×C₈₃	1	6	yes	—
911	#124	C₂³×C₈₃	1	6	yes	—
912	#124	C₂³×C₈₃	1	6	yes	—
913	#124	C₂³×C₈₃	1	6	yes	—
914	#124	C₂³×C₈₃	1	6	yes	—
915	#124	C₂³×C₈₃	1	6	yes	—
916	#124	C₂³×C₈₃	1	12	yes	—
917	#123	C₂³×C₈₃	1	12	yes	—
918	#123	C₂³×C₈₃	1	6	yes	—
919	#123	C₂³×C₈₃	1	2	yes	—
920	#123	C₂³×C₈₃	1	6	yes	—
921	#123	C₂³×C₈₃	1	6	yes	—
922	#123	C₂³×C₈₃	1	6	yes	—
923	#123	C₂³×C₈₃	1	2	yes	—
924	#123	C₂³×C₈₃	1	6	yes	—
925	#123	C₂³×C₈₃	1	6	yes	—
926	#123	C₂³×C₈₃	1	12	yes	—
927	#123	C₂³×C₈₃	1	6	yes	—
928	#123	C₂³×C₈₃	1	6	yes	—
929	#123	C₂³×C₈₃	1	12	yes	—
930	#123	C₂³×C₈₃	1	12	yes	—
931	#123	C₂³×C₈₃	1	12	yes	—
932	#123	C₂³×C₈₃	1	12	yes	—
933	#123	C₂³×C₈₃	1	12	yes	—
934	#123	C₂³×C₈₃	1	12	yes	—
935	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
936	C₂²⋊Q₈	C₂³×C₈₃	1	3	yes	—
937	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
938	C₂²⋊Q₈	C₂³×C₈₃	1	12	yes	—
939	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
940	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
941	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
942	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
943	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
944	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
945	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
946	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
947	C₂²⋊Q₈	C₂³×C₈₃	1	3	yes	—
948	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
949	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
950	C₂²⋊Q₈	C₂³×C₈₃	1	3	yes	—
951	C₂²⋊Q₈	C₂³×C₈₃	1	3	yes	—
952	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
953	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
954	C₂²⋊Q₈	C₂³×C₈₃	1	6	yes	—
955	C₂²⋊Q₈	C₂³×C₈₃	1	12	yes	—
956	C₂²⋊Q₈	C₂³×C₈₃	1	12	yes	—
957	C₂²⋊Q₈	C₂³×C₈₃	1	12	yes	—
958	C₂²⋊Q₈	C₂³×C₈₃	1	12	yes	—
959	#121	C₂³×C₈₃	1	6	yes	—
960	#121	C₂³×C₈₃	1	6	yes	—
961	#121	C₂³×C₈₃	1	2	yes	—
962	#121	C₂³×C₈₃	1	3	yes	—
963	#121	C₂³×C₈₃	1	6	yes	—
964	#121	C₂³×C₈₃	1	6	yes	—
965	#121	C₂³×C₈₃	1	6	yes	—
966	#121	C₂³×C₈₃	1	6	yes	—
967	#121	C₂³×C₈₃	1	1	yes	characteristic
968	#121	C₂³×C₈₃	1	3	yes	—
969	#121	C₂³×C₈₃	1	6	yes	—
970	#121	C₂³×C₈₃	1	3	yes	—
971	#121	C₂³×C₈₃	1	6	yes	—
972	#121	C₂³×C₈₃	1	6	yes	—
973	#121	C₂³×C₈₃	1	3	yes	—
974	#121	C₂³×C₈₃	1	3	yes	—
975	#121	C₂³×C₈₃	1	6	yes	—
976	#121	C₂³×C₈₃	1	6	yes	—
977	#121	C₂³×C₈₃	1	6	yes	—
978	#121	C₂³×C₈₃	1	3	yes	—
979	#121	C₂³×C₈₃	1	1	yes	characteristic
980	#121	C₂³×C₈₃	1	2	yes	—
981	#121	C₂³×C₈₃	1	6	yes	—
982	#121	C₂³×C₈₃	1	6	yes	—
983	#121	C₂³×C₈₃	1	6	yes	—
984	#121	C₂³×C₈₃	1	6	yes	—
985	#121	C₂³×C₈₃	1	6	yes	—
986	#121	C₂³×C₈₃	1	3	yes	—
987	#121	C₂³×C₈₃	1	3	yes	—
988	#121	C₂³×C₈₃	1	12	yes	—
989	#121	C₂³×C₈₃	1	6	yes	—
990	#121	C₂³×C₈₃	1	6	yes	—
991	#121	C₂³×C₈₃	1	6	yes	—
992	#121	C₂³×C₈₃	1	12	yes	—
993	#121	C₂³×C₈₃	1	12	yes	—
994	#121	C₂³×C₈₃	1	12	yes	—
995	#121	C₂³×C₈₃	1	12	yes	—
996	#121	C₂³×C₈₃	1	12	yes	—
997	#121	C₂³×C₈₃	1	12	yes	—
998	#121	C₂³×C₈₃	1	12	yes	—
999	#121	C₂³×C₈₃	1	12	yes	—
1000	#120	C₂³×C₈₃	1	12	yes	—
1001	#120	C₂³×C₈₃	1	6	yes	—
1002	#120	C₂³×C₈₃	1	6	yes	—
1003	#120	C₂³×C₈₃	1	6	yes	—
1004	#120	C₂³×C₈₃	1	6	yes	—
1005	#120	C₂³×C₈₃	1	12	yes	—
1006	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
1007	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
1008	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
1009	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
1010	C₄×Q₈	C₂³×C₈₃	1	3	yes	—
1011	C₄×Q₈	C₂³×C₈₃	1	6	yes	—
1012	C₄×Q₈	C₂³×C₈₃	1	3	yes	—
1013	C₄×Q₈	C₂³×C₈₃	1	6	yes	—
1014	C₄×Q₈	C₂³×C₈₃	1	3	yes	—
1015	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
1016	C₄×Q₈	C₂³×C₈₃	1	3	yes	—
1017	C₄×Q₈	C₂³×C₈₃	1	3	yes	—
1018	C₄×Q₈	C₂³×C₈₃	1	3	yes	—
1019	C₄×Q₈	C₂³×C₈₃	1	6	yes	—
1020	C₄×Q₈	C₂³×C₈₃	1	6	yes	—
1021	C₄×Q₈	C₂³×C₈₃	1	6	yes	—
1022	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
1023	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1024	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1025	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1026	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1027	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1028	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1029	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1030	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
1031	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1032	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1033	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1034	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1035	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1036	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1037	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1038	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1039	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1040	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1041	C₄×D₄	C₂³×C₈₃	1	3	yes	—
1042	C₄×D₄	C₂³×C₈₃	1	12	yes	—
1043	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1044	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1045	C₄×D₄	C₂³×C₈₃	1	12	yes	—
1046	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1047	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1048	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1049	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1050	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1051	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1052	C₄×D₄	C₂³×C₈₃	1	12	yes	—
1053	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1054	C₄×D₄	C₂³×C₈₃	1	12	yes	—
1055	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1056	C₄×D₄	C₂³×C₈₃	1	6	yes	—
1057	C₄×D₄	C₂³×C₈₃	1	12	yes	—
1058	#117	C₂³×C₈₃	1	3	yes	—
1059	#117	C₂³×C₈₃	1	1	yes	characteristic
1060	#117	C₂³×C₈₃	1	3	yes	—
1061	#117	C₂³×C₈₃	1	3	yes	—
1062	#117	C₂³×C₈₃	1	3	yes	—
1063	#117	C₂³×C₈₃	1	3	yes	—
1064	#117	C₂³×C₈₃	1	6	yes	—
1065	#117	C₂³×C₈₃	1	6	yes	—
1066	#117	C₂³×C₈₃	1	6	yes	—
1067	#117	C₂³×C₈₃	1	6	yes	—
1068	#117	C₂³×C₈₃	1	12	yes	—
1069	#117	C₂³×C₈₃	1	6	yes	—
1070	#117	C₂³×C₈₃	1	6	yes	—
1071	C₂×C₄⋊C₄	C₂³×C₈₃	1	3	yes	—
1072	C₂×C₄⋊C₄	C₂³×C₈₃	1	6	yes	—
1073	C₂×C₄⋊C₄	C₂³×C₈₃	1	3	yes	—
1074	C₂×C₄⋊C₄	C₂³×C₈₃	1	6	yes	—
1075	C₂×C₄⋊C₄	C₂³×C₈₃	1	12	yes	—
1076	C₂×C₄⋊C₄	C₂³×C₈₃	1	6	yes	—
1077	C₂×C₄⋊C₄	C₂³×C₈₃	1	6	yes	—
1078	C₂×C₂²⋊C₄	C₂³×C₈₃	1	6	yes	—
1079	C₂×C₂²⋊C₄	C₂³×C₈₃	1	12	yes	—
1080	C₂×C₄²	C₂³×C₈₃	1	3	yes	—
1081	C₂×C₄²	C₂³×C₈₃	1	3	yes	—
1082	C₂×C₄²	C₂³×C₈₃	1	6	yes	—
1083	C₂×C₄²	C₂³×C₈₃	1	3	yes	—
1084	C₂⁴	C₂⁴×C₈₃	1	6	yes	—
1085	#41	—	2	4	no	—
1086	#41	—	2	8	no	—
1087	#41	—	2	4	no	—
1088	#41	—	4	12	no	—
1089	#41	—	4	12	no	—
1090	#41	—	4	6	no	—
1091	#41	—	4	12	no	—
1092	#41	—	4	12	no	—
1093	#41	—	4	12	no	—
1094	#41	—	4	12	no	—
1095	#41	—	4	12	no	—
1096	#41	—	4	12	no	—
1097	#41	—	4	6	no	—
1098	#41	—	4	12	no	—
1099	C₂×Q₈	—	2	8	no	—
1100	C₂×Q₈	—	2	4	no	—
1101	C₂×Q₈	—	2	8	no	—
1102	C₂×Q₈	—	4	12	no	—
1103	C₂×Q₈	—	4	12	no	—
1104	C₂×Q₈	C₂⁴×C₈₃	1	3	yes	—
1105	C₂×Q₈	C₂⁴×C₈₃	1	3	yes	—
1106	C₂×Q₈	C₂⁴×C₈₃	1	6	yes	—
1107	C₂×Q₈	C₂⁴×C₈₃	1	6	yes	—
1108	C₂×Q₈	C₂⁴×C₈₃	1	3	yes	—
1109	C₂×Q₈	C₂⁴×C₈₃	1	6	yes	—
1110	C₂×Q₈	C₂⁴×C₈₃	1	6	yes	—
1111	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
1112	C₂×D₄	—	4	12	no	—
1113	C₂×D₄	—	4	6	no	—
1114	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
1115	C₂×D₄	C₂⁴×C₈₃	1	3	yes	—
1116	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
1117	C₂×D₄	C₂⁴×C₈₃	1	3	yes	—
1118	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1119	C₂×D₄	C₂⁴×C₈₃	1	3	yes	—
1120	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
1121	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
1122	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1123	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1124	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1125	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1126	C₂×D₄	C₂⁴×C₈₃	1	3	yes	—
1127	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1128	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1129	C₂×D₄	C₂⁴×C₈₃	1	3	yes	—
1130	C₂×D₄	C₂⁴×C₈₃	1	12	yes	—
1131	C₂×D₄	C₂⁴×C₈₃	1	3	yes	—
1132	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1133	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
1134	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1135	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1136	C₂×D₄	C₂⁴×C₈₃	1	12	yes	—
1137	C₂×D₄	C₂⁴×C₈₃	1	2	yes	—
1138	C₂×D₄	C₂⁴×C₈₃	1	6	yes	—
1139	C₂²×C₄	—	4	12	no	—
1140	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂⁴×C₈₃	1	3	yes	—
1142	C₂²×C₄	C₂⁴×C₈₃	1	3	yes	—
1143	C₂²×C₄	C₂⁴×C₈₃	1	3	yes	—
1144	C₂²×C₄	C₂⁴×C₈₃	1	6	yes	—
1145	C₂²×C₄	C₂⁴×C₈₃	1	3	yes	—
1146	C₂²×C₄	C₂⁴×C₈₃	1	3	yes	—
1147	C₂²×C₄	C₂⁴×C₈₃	1	6	yes	—
1148	C₂²×C₄	C₂⁴×C₈₃	1	6	yes	—
1149	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1150	C₂²×C₄	C₂⁴×C₈₃	1	3	yes	—
1151	C₂²×C₄	C₂⁴×C₈₃	1	3	yes	—
1152	C₂²×C₄	C₂⁴×C₈₃	1	6	yes	—
1153	C₂²×C₄	C₂⁴×C₈₃	1	3	yes	—
1154	C₂²×C₄	C₂⁴×C₈₃	1	12	yes	—
1155	C₂²×C₄	C₂⁴×C₈₃	1	12	yes	—
1156	C₂²×C₄	C₂⁴×C₈₃	1	6	yes	—
1157	C₂²×C₄	C₂⁴×C₈₃	1	6	yes	—
1158	C₂²×C₄	C₂⁴×C₈₃	1	12	yes	—
1159	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
1160	C₄⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1161	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
1162	C₄⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1163	C₄⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1164	C₄⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1165	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1166	C₄⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1167	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1168	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1169	C₄⋊C₄	C₂⁴×C₈₃	1	12	yes	—
1170	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1171	C₄⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1172	C₄⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1173	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1174	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1175	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1176	C₄⋊C₄	C₂⁴×C₈₃	1	12	yes	—
1177	C₄⋊C₄	C₂⁴×C₈₃	1	12	yes	—
1178	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1179	C₄⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1180	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
1181	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
1182	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1183	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
1184	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
1185	C₄⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1186	C₄⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1187	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1188	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1189	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1190	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1191	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
1192	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1193	C₄⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1194	C₂²⋊C₄	C₂⁴×C₈₃	1	2	yes	—
1195	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1196	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1197	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1198	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1199	C₂²⋊C₄	C₂⁴×C₈₃	1	12	yes	—
1200	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1201	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1202	C₂²⋊C₄	C₂⁴×C₈₃	1	2	yes	—
1203	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1204	C₂²⋊C₄	C₂⁴×C₈₃	1	2	yes	—
1205	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1206	C₂²⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1207	C₂²⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
1208	C₂²⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1209	C₂²⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
1210	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1211	C₂²⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1212	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1213	C₂²⋊C₄	C₂⁴×C₈₃	1	3	yes	—
1214	C₂²⋊C₄	C₂⁴×C₈₃	1	12	yes	—
1215	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1216	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1217	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1218	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1219	C₂²⋊C₄	C₂⁴×C₈₃	1	12	yes	—
1220	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1221	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1222	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1223	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1224	C₂²⋊C₄	C₂⁴×C₈₃	1	6	yes	—
1225	C₂²⋊C₄	C₂⁴×C₈₃	1	2	yes	—
1226	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1227	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
1228	C₄²	C₂⁴×C₈₃	1	3	yes	—
1229	C₄²	C₂⁴×C₈₃	1	3	yes	—
1230	C₄²	C₂⁴×C₈₃	1	3	yes	—
1231	C₄²	C₂⁴×C₈₃	1	6	yes	—
1232	C₄²	C₂⁴×C₈₃	1	3	yes	—
1233	C₄²	C₂⁴×C₈₃	1	6	yes	—
1234	C₄²	C₂⁴×C₈₃	1	3	yes	—
1235	C₄²	C₂⁴×C₈₃	1	3	yes	—
1236	C₄²	C₂⁴×C₈₃	1	3	yes	—
1237	C₄²	C₂⁴×C₈₃	1	6	yes	—
1238	C₄²	C₂⁴×C₈₃	1	3	yes	—
1239	C₄²	C₂⁴×C₈₃	1	12	yes	—
1240	C₂³	—	4	6	no	—
1241	C₂³	—	4	6	no	—
1242	C₂³	—	4	6	no	—
1243	C₂³	C₂⁵×C₈₃	1	2	yes	—
1244	C₂³	C₂⁵×C₈₃	1	3	yes	—
1245	C₂³	C₂⁵×C₈₃	1	6	yes	—
1246	C₂³	C₂⁵×C₈₃	1	1	yes	characteristic
1247	C₂³	C₂⁵×C₈₃	1	2	yes	—
1248	C₂³	C₂⁵×C₈₃	1	3	yes	—
1249	Q₈	—	2	6	no	—
1250	Q₈	—	2	12	no	—
1251	Q₈	—	2	12	no	—
1252	Q₈	—	2	6	no	—
1253	Q₈	—	4	6	no	—
1254	Q₈	—	4	6	no	—
1255	Q₈	—	4	3	no	—
1256	Q₈	H(5,𝔽₂)×C₈₃	1	4	yes	—
1257	D₄	—	2	6	no	—
1258	D₄	—	2	12	no	—
1259	D₄	—	2	6	no	—
1260	D₄	—	2	2	no	—
1261	D₄	—	2	6	no	—
1262	D₄	—	2	2	no	—
1263	D₄	—	4	12	no	—
1264	D₄	—	4	6	no	—
1265	D₄	—	4	2	no	—
1266	D₄	—	4	2	no	—
1267	D₄	—	4	6	no	—
1268	D₄	—	4	6	no	—
1269	D₄	—	4	6	no	—
1270	D₄	—	4	6	no	—
1271	D₄	—	4	3	no	—
1272	D₄	—	4	3	no	—
1273	D₄	—	4	3	no	—
1274	D₄	—	4	12	no	—
1275	D₄	—	4	6	no	—
1276	D₄	—	4	2	no	—
1277	D₄	—	4	6	no	—
1278	D₄	—	4	2	no	—
1279	D₄	—	4	6	no	—
1280	D₄	—	4	6	no	—
1281	D₄	—	4	6	no	—
1282	C₂×C₄	—	2	6	no	—
1283	C₂×C₄	—	2	12	no	—
1284	C₂×C₄	—	2	12	no	—
1285	C₂×C₄	—	2	6	no	—
1286	C₂×C₄	—	2	12	no	—
1287	C₂×C₄	—	2	6	no	—
1288	C₂×C₄	—	2	6	no	—
1289	C₂×C₄	—	2	6	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	4	2	no	—
1292	C₂×C₄	—	4	6	no	—
1293	C₂×C₄	—	4	6	no	—
1294	C₂×C₄	—	4	12	no	—
1295	C₂×C₄	—	4	12	no	—
1296	C₂×C₄	—	4	12	no	—
1297	C₂×C₄	—	4	6	no	—
1298	C₂×C₄	—	4	3	no	—
1299	C₂×C₄	—	4	2	no	—
1300	C₂×C₄	—	4	3	no	—
1301	C₂×C₄	—	4	3	no	—
1302	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1303	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1304	C₂×C₄	C₂⁵×C₈₃	1	2	yes	—
1305	C₂×C₄	C₂⁵×C₈₃	1	3	yes	—
1306	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1307	C₂×C₄	C₂⁵×C₈₃	1	3	yes	—
1308	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1309	C₂×C₄	C₂⁵×C₈₃	1	3	yes	—
1310	C₂×C₄	C₂⁵×C₈₃	1	6	yes	—
1311	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1312	C₂×C₄	C₂⁵×C₈₃	1	3	yes	—
1313	C₂×C₄	C₂⁵×C₈₃	1	6	yes	—
1314	C₂×C₄	C₂⁵×C₈₃	1	3	yes	—
1315	C₂×C₄	C₂⁵×C₈₃	1	6	yes	—
1316	C₂×C₄	C₂⁵×C₈₃	1	2	yes	—
1317	C₂×C₄	C₂⁵×C₈₃	1	3	yes	—
1318	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	1	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	3	no	—
1323	C₂²	—	2	6	no	—
1324	C₂²	—	2	3	no	—
1325	C₂²	—	2	1	no	—
1326	C₂²	—	2	3	no	—
1327	C₂²	—	2	3	no	—
1328	C₂²	—	2	2	no	—
1329	C₂²	—	2	6	no	—
1330	C₂²	—	2	2	no	—
1331	C₂²	—	2	1	no	—
1332	C₂²	—	2	2	no	—
1333	C₂²	—	2	3	no	—
1334	C₂²	—	2	3	no	—
1335	C₂²	—	2	6	no	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	8	12	no	—
1338	C₂²	C₂⁶×C₈₃	1	1	yes	characteristic
1339	C₄	—	2	1	no	—
1340	C₄	—	2	2	no	—
1341	C₄	—	2	1	no	—
1342	C₄	—	2	6	no	—
1343	C₄	—	2	6	no	—
1344	C₄	—	2	3	no	—
1345	C₄	—	2	3	no	—
1346	C₄	—	2	3	no	—
1347	C₄	—	2	1	no	—
1348	C₄	—	2	6	no	—
1349	C₄	—	2	1	no	—
1350	C₄	—	2	3	no	—
1351	C₄	—	2	1	no	—
1352	C₄	—	2	2	no	—
1353	C₄	—	2	3	no	—
1354	C₄	C₂×H(5,𝔽₂)×C₈₃	1	6	yes	—
1355	C₄	#585×C₈₃	1	2	yes	—
1356	C₂	—	4	2	no	—
1357	C₂	—	4	3	no	—
1358	C₂	—	4	6	no	—
1359	C₂	—	4	1	no	—
1360	C₂	—	4	2	no	—
1361	C₂	—	4	3	no	—
1362	C₂	C₂²×H(5,𝔽₂)×C₈₃	1	1	yes	characteristic
1363	C₂	C₂×#585×C₈₃	1	1	yes	characteristic
1364	C₂	C₈₃×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₈₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₈₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₈₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₃×#3562	C₂	semidirect
2. C₈₃×#3552	C₂	semidirect
3. C₈₃×#3551	C₂	semidirect
4. C₈₃×#3548	C₂	semidirect
5. C₈₃×#3546	C₂	semidirect
6. C₈₃×#3546	C₂	semidirect
7. C₈₃×#3541	C₂	semidirect
8. C₈₃×#3539	C₂	semidirect
9. C₈₃×#3523	C₂	semidirect
10. C₈₃×#3520	C₂	semidirect
11. C₈₃×#3517	C₂	semidirect
12. C₈₃×#3517	C₂	semidirect
13. C₈₃×#3516	C₂	semidirect
14. C₈₃×#3511	C₂	semidirect
15. C₈₃×#3499	C₂	semidirect
16. C₈₃×#3497	C₂	semidirect
17. C₈₃×#3497	C₂	semidirect
18. C₈₃×#3489	C₂	semidirect
19. C₈₃×#3487	C₂	semidirect
20. C₈₃×#3482	C₂	semidirect
21. C₈₃×#3480	C₂	semidirect
22. D₄×#41×C₈₃	C₂	semidirect
23. C₈₃×#3460	C₂	semidirect
24. C₂×2₋¹⁺⁴×C₈₃	C₂²	semidirect
25. C₂×2₋¹⁺⁴×C₈₃	C₂²	semidirect
27. #563×C₈₃	C₂²	semidirect
28. #562×C₈₃	C₂²	semidirect
29. #560×C₈₃	C₂²	semidirect
30. #560×C₈₃	C₂²	semidirect
31. #559×C₈₃	C₂²	semidirect
32. #557×C₈₃	C₂²	semidirect
33. #557×C₈₃	C₂²	semidirect
34. #557×C₈₃	C₂²	semidirect
36. #556×C₈₃	C₂²	semidirect
37. #556×C₈₃	C₂²	semidirect
38. #556×C₈₃	C₂²	semidirect
39. #555×C₈₃	C₂²	semidirect
40. #554×C₈₃	C₂²	semidirect
41. #554×C₈₃	C₂²	semidirect
42. #554×C₈₃	C₂²	semidirect
43. #553×C₈₃	C₂²	semidirect
44. #553×C₈₃	C₂²	semidirect
45. #553×C₈₃	C₂²	semidirect
46. #553×C₈₃	C₂²	semidirect
47. #553×C₈₃	C₂²	semidirect
48. #553×C₈₃	C₂²	semidirect
49. #553×C₈₃	C₂²	semidirect
50. #553×C₈₃	C₂²	semidirect
51. #552×C₈₃	C₂²	semidirect
52. #552×C₈₃	C₂²	semidirect
53. #552×C₈₃	C₂²	semidirect
54. #551×C₈₃	C₂²	semidirect
57. #550×C₈₃	C₂²	semidirect
58. #550×C₈₃	C₂²	semidirect
59. #550×C₈₃	C₂²	semidirect
60. #550×C₈₃	C₂²	semidirect
61. #550×C₈₃	C₂²	semidirect
62. #550×C₈₃	C₂²	semidirect
63. #550×C₈₃	C₂²	semidirect
65. D₄×Q₈×C₈₃	C₂²	semidirect
66. D₄×Q₈×C₈₃	C₂²	semidirect
67. D₄×Q₈×C₈₃	C₂²	semidirect
68. D₄×Q₈×C₈₃	C₂²	semidirect
69. D₄×Q₈×C₈₃	C₂²	semidirect
73. #548×C₈₃	C₂²	semidirect
74. #548×C₈₃	C₂²	semidirect
75. #548×C₈₃	C₂²	semidirect
76. #548×C₈₃	C₂²	semidirect
77. #548×C₈₃	C₂²	semidirect
78. #548×C₈₃	C₂²	semidirect
79. #548×C₈₃	C₂²	semidirect
82. #547×C₈₃	C₂²	semidirect
83. #547×C₈₃	C₂²	semidirect
84. #547×C₈₃	C₂²	semidirect
85. #547×C₈₃	C₂²	semidirect
86. #547×C₈₃	C₂²	semidirect
87. #547×C₈₃	C₂²	semidirect
90. #546×C₈₃	C₂²	semidirect
91. #546×C₈₃	C₂²	semidirect
93. #544×C₈₃	C₂²	semidirect
95. #542×C₈₃	C₂²	semidirect
96. #542×C₈₃	C₂²	semidirect
97. #542×C₈₃	C₂²	semidirect
98. #542×C₈₃	C₂²	semidirect
99. #541×C₈₃	C₂²	semidirect
100. #541×C₈₃	C₂²	semidirect
102. #540×C₈₃	C₂²	semidirect
103. #540×C₈₃	C₂²	semidirect
104. #540×C₈₃	C₂²	semidirect
105. #540×C₈₃	C₂²	semidirect
106. #540×C₈₃	C₂²	semidirect
107. #539×C₈₃	C₂²	semidirect
108. #539×C₈₃	C₂²	semidirect
109. #538×C₈₃	C₂²	semidirect
110. #538×C₈₃	C₂²	semidirect
111. #538×C₈₃	C₂²	semidirect
112. #538×C₈₃	C₂²	semidirect
113. #537×C₈₃	C₂²	semidirect
114. #537×C₈₃	C₂²	semidirect
115. #537×C₈₃	C₂²	semidirect
116. #537×C₈₃	C₂²	semidirect
117. #537×C₈₃	C₂²	semidirect
118. #537×C₈₃	C₂²	semidirect
119. #536×C₈₃	C₂²	semidirect
120. #536×C₈₃	C₂²	semidirect
123. #535×C₈₃	C₂²	semidirect
124. #535×C₈₃	C₂²	semidirect
125. #533×C₈₃	C₂²	semidirect
126. #533×C₈₃	C₂²	semidirect
129. #532×C₈₃	C₂²	semidirect
130. #532×C₈₃	C₂²	semidirect
131. #532×C₈₃	C₂²	semidirect
132. #532×C₈₃	C₂²	semidirect
133. #532×C₈₃	C₂²	semidirect
134. #532×C₈₃	C₂²	semidirect
135. C₂×C₄⋊Q₈×C₈₃	C₂²	semidirect
137. #529×C₈₃	C₂²	semidirect
138. #529×C₈₃	C₂²	semidirect
139. #529×C₈₃	C₂²	semidirect
140. #529×C₈₃	C₂²	semidirect
141. #529×C₈₃	C₂²	semidirect
142. #529×C₈₃	C₂²	semidirect
144. #525×C₈₃	C₂²	semidirect
145. #525×C₈₃	C₂²	semidirect
146. #525×C₈₃	C₂²	semidirect
147. C₂×C₂²⋊Q₈×C₈₃	C₂²	semidirect
148. #520×C₈₃	C₂²	semidirect
149. #520×C₈₃	C₂²	semidirect
150. #519×C₈₃	C₂²	semidirect
152. C₄×#41×C₈₃	C₂²	semidirect
153. C₄×#41×C₈₃	C₂²	semidirect
154. C₄×#41×C₈₃	C₂²	semidirect
155. C₂×C₄×Q₈×C₈₃	C₂²	semidirect
156. C₂×C₄×Q₈×C₈₃	C₂²	semidirect
673. #62922	C₈₃	direct (N × H)
683. #3562	C₂×C₈₃	semidirect
684. #3552	C₂×C₈₃	semidirect
685. #3551	C₂×C₈₃	semidirect
686. #3548	C₂×C₈₃	semidirect
687. #3546	C₂×C₈₃	semidirect
688. #3546	C₂×C₈₃	semidirect
689. #3541	C₂×C₈₃	semidirect
690. #3539	C₂×C₈₃	semidirect
691. #3523	C₂×C₈₃	semidirect
692. #3520	C₂×C₈₃	semidirect
693. #3517	C₂×C₈₃	semidirect
694. #3517	C₂×C₈₃	semidirect
695. #3516	C₂×C₈₃	semidirect
696. #3511	C₂×C₈₃	semidirect
697. #3499	C₂×C₈₃	semidirect
698. #3497	C₂×C₈₃	semidirect
699. #3497	C₂×C₈₃	semidirect
700. #3489	C₂×C₈₃	semidirect
701. #3487	C₂×C₈₃	semidirect
702. #3482	C₂×C₈₃	semidirect
703. #3480	C₂×C₈₃	semidirect
704. D₄×#41	C₂×C₈₃	semidirect
705. #3460	C₂×C₈₃	semidirect
706. C₈₃	#62922	direct (N × H)
707. C₂×2₋¹⁺⁴	C₂²×C₈₃	semidirect
708. C₂×2₋¹⁺⁴	C₂²×C₈₃	semidirect
710. #563	C₂²×C₈₃	semidirect
711. #562	C₂²×C₈₃	semidirect
712. #560	C₂²×C₈₃	semidirect
713. #560	C₂²×C₈₃	semidirect
714. #559	C₂²×C₈₃	semidirect
715. #557	C₂²×C₈₃	semidirect
716. #557	C₂²×C₈₃	semidirect
717. #557	C₂²×C₈₃	semidirect
719. #556	C₂²×C₈₃	semidirect
720. #556	C₂²×C₈₃	semidirect
721. #556	C₂²×C₈₃	semidirect
722. #555	C₂²×C₈₃	semidirect
723. #554	C₂²×C₈₃	semidirect
724. #554	C₂²×C₈₃	semidirect
725. #554	C₂²×C₈₃	semidirect
726. #553	C₂²×C₈₃	semidirect
727. #553	C₂²×C₈₃	semidirect
728. #553	C₂²×C₈₃	semidirect
729. #553	C₂²×C₈₃	semidirect
730. #553	C₂²×C₈₃	semidirect
731. #553	C₂²×C₈₃	semidirect
732. #553	C₂²×C₈₃	semidirect
733. #553	C₂²×C₈₃	semidirect
734. #552	C₂²×C₈₃	semidirect
735. #552	C₂²×C₈₃	semidirect
736. #552	C₂²×C₈₃	semidirect
737. #551	C₂²×C₈₃	semidirect
740. #550	C₂²×C₈₃	semidirect
741. #550	C₂²×C₈₃	semidirect
742. #550	C₂²×C₈₃	semidirect
743. #550	C₂²×C₈₃	semidirect
744. #550	C₂²×C₈₃	semidirect
745. #550	C₂²×C₈₃	semidirect
746. #550	C₂²×C₈₃	semidirect
748. D₄×Q₈	C₂²×C₈₃	semidirect
749. D₄×Q₈	C₂²×C₈₃	semidirect
750. D₄×Q₈	C₂²×C₈₃	semidirect
751. D₄×Q₈	C₂²×C₈₃	semidirect
752. D₄×Q₈	C₂²×C₈₃	semidirect
756. #548	C₂²×C₈₃	semidirect
757. #548	C₂²×C₈₃	semidirect
758. #548	C₂²×C₈₃	semidirect
759. #548	C₂²×C₈₃	semidirect
760. #548	C₂²×C₈₃	semidirect
761. #548	C₂²×C₈₃	semidirect
762. #548	C₂²×C₈₃	semidirect
765. #547	C₂²×C₈₃	semidirect
766. #547	C₂²×C₈₃	semidirect
767. #547	C₂²×C₈₃	semidirect
768. #547	C₂²×C₈₃	semidirect
769. #547	C₂²×C₈₃	semidirect
770. #547	C₂²×C₈₃	semidirect
773. #546	C₂²×C₈₃	semidirect
774. #546	C₂²×C₈₃	semidirect
776. #544	C₂²×C₈₃	semidirect
778. #542	C₂²×C₈₃	semidirect
779. #542	C₂²×C₈₃	semidirect
780. #542	C₂²×C₈₃	semidirect
781. #542	C₂²×C₈₃	semidirect
782. #541	C₂²×C₈₃	semidirect
783. #541	C₂²×C₈₃	semidirect
785. #540	C₂²×C₈₃	semidirect
786. #540	C₂²×C₈₃	semidirect
787. #540	C₂²×C₈₃	semidirect
788. #540	C₂²×C₈₃	semidirect
789. #540	C₂²×C₈₃	semidirect
790. #539	C₂²×C₈₃	semidirect
791. #539	C₂²×C₈₃	semidirect
792. #538	C₂²×C₈₃	semidirect
793. #538	C₂²×C₈₃	semidirect
794. #538	C₂²×C₈₃	semidirect
795. #538	C₂²×C₈₃	semidirect
796. #537	C₂²×C₈₃	semidirect
797. #537	C₂²×C₈₃	semidirect
798. #537	C₂²×C₈₃	semidirect
799. #537	C₂²×C₈₃	semidirect
800. #537	C₂²×C₈₃	semidirect
801. #537	C₂²×C₈₃	semidirect
802. #536	C₂²×C₈₃	semidirect
803. #536	C₂²×C₈₃	semidirect
806. #535	C₂²×C₈₃	semidirect
807. #535	C₂²×C₈₃	semidirect
808. #533	C₂²×C₈₃	semidirect
809. #533	C₂²×C₈₃	semidirect
812. #532	C₂²×C₈₃	semidirect
813. #532	C₂²×C₈₃	semidirect
814. #532	C₂²×C₈₃	semidirect
815. #532	C₂²×C₈₃	semidirect
816. #532	C₂²×C₈₃	semidirect
817. #532	C₂²×C₈₃	semidirect
818. C₂×C₄⋊Q₈	C₂²×C₈₃	semidirect
820. #529	C₂²×C₈₃	semidirect
821. #529	C₂²×C₈₃	semidirect
822. #529	C₂²×C₈₃	semidirect
823. #529	C₂²×C₈₃	semidirect
824. #529	C₂²×C₈₃	semidirect
825. #529	C₂²×C₈₃	semidirect
827. #525	C₂²×C₈₃	semidirect
828. #525	C₂²×C₈₃	semidirect
829. #525	C₂²×C₈₃	semidirect
830. C₂×C₂²⋊Q₈	C₂²×C₈₃	semidirect
831. #520	C₂²×C₈₃	semidirect
832. #520	C₂²×C₈₃	semidirect
833. #519	C₂²×C₈₃	semidirect
835. C₄×#41	C₂²×C₈₃	semidirect
836. C₄×#41	C₂²×C₈₃	semidirect
837. C₄×#41	C₂²×C₈₃	semidirect
838. C₂×C₄×Q₈	C₂²×C₈₃	semidirect
839. C₂×C₄×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×#3562	2
C₈₃×#3552	2
C₈₃×#3551	2
C₈₃×#3548	2
C₈₃×#3546	2
C₈₃×#3541	2
C₈₃×#3539	2
C₈₃×#3523	2
C₈₃×#3520	2
C₈₃×#3517	2
C₈₃×#3516	2
C₈₃×#3511	2
C₈₃×#3499	2
C₈₃×#3497	2
C₈₃×#3489	2
C₈₃×#3487	2
C₈₃×#3482	2
C₈₃×#3480	2
D₄×#41×C₈₃	2
C₈₃×#3460	2
#62922	83

Subgroups — C83×#62922 #35290746

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#62922 #35290746