Subgroups — C₈₃×#62219 #35290043

Order 21248.

1696 conjugacy classes of subgroups.

The subgroup lattice has 1114 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×#3518	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×#3367	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₃×#3360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₃×#3354	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₃×#3350	C₂	1	2	yes	maximal, complemented
9	C₈₃×#3341	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₃×#3340	C₂	1	2	yes	maximal, complemented
11	C₈₃×#3329	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₃×#3321	C₂	1	2	yes	maximal, complemented
13	C₈₃×#3301	C₂	1	2	yes	maximal, complemented
14	C₈₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₃×#3257	C₂	1	2	yes	maximal, complemented
16	C₈₃×#3246	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₃×#3244	C₂	1	2	yes	maximal, complemented
18	C₈₃×#3231	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₃×#3126	C₂	1	2	yes	maximal, complemented
20	C₈₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₃×#3082	C₂	1	2	yes	maximal, complemented
22	C₈₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₃×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	#562×C₈₃	—	2	2	no	—
25	Q₈²×C₈₃	C₂²	1	1	yes	characteristic
26	#556×C₈₃	—	2	2	no	—
27	#556×C₈₃	—	2	1	no	—
28	#556×C₈₃	C₂²	1	1	yes	characteristic
29	#556×C₈₃	C₂²	1	2	yes	—
30	#555×C₈₃	—	2	1	no	—
31	#555×C₈₃	C₂²	1	2	yes	—
32	#555×C₈₃	C₂²	1	1	yes	characteristic
33	#555×C₈₃	C₂²	1	1	yes	characteristic
34	#554×C₈₃	C₂²	1	1	yes	characteristic
35	#553×C₈₃	C₂²	1	2	yes	—
36	#552×C₈₃	—	2	1	no	—
37	D₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic
38	D₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic
39	#548×C₈₃	—	2	1	no	—
40	#548×C₈₃	C₂²	1	2	yes	—
41	#547×C₈₃	C₂²	1	1	yes	characteristic
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	—	2	1	no	—
50	#533×C₈₃	C₂²	1	1	yes	characteristic
51	#533×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	#519×C₈₃	C₂²	1	2	yes	—
56	C₄×#41×C₈₃	C₂²	1	1	yes	characteristic
57	#501×C₈₃	C₂²	1	2	yes	—
58	#500×C₈₃	C₂²	1	1	yes	characteristic
59	#498×C₈₃	C₂²	1	2	yes	—
60	#498×C₈₃	C₂²	1	1	yes	characteristic
61	#489×C₈₃	C₂²	1	2	yes	—
62	#488×C₈₃	C₂²	1	2	yes	—
63	#487×C₈₃	C₂²	1	1	yes	characteristic
64	#487×C₈₃	C₂²	1	1	yes	characteristic
65	#485×C₈₃	C₂²	1	2	yes	—
66	#485×C₈₃	C₂²	1	2	yes	—
67	#485×C₈₃	C₂²	1	2	yes	—
68	#483×C₈₃	C₂²	1	2	yes	—
69	#482×C₈₃	C₂²	1	2	yes	—
70	#482×C₈₃	C₂²	1	1	yes	characteristic
71	#482×C₈₃	C₂²	1	2	yes	—
72	#482×C₈₃	C₂²	1	2	yes	—
73	#482×C₈₃	C₂²	1	1	yes	characteristic
74	#481×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	#479×C₈₃	C₂²	1	2	yes	—
79	#479×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	#477×C₈₃	C₂²	1	2	yes	—
84	#476×C₈₃	C₂²	1	1	yes	characteristic
85	#476×C₈₃	C₂²	1	1	yes	characteristic
86	#476×C₈₃	C₂²	1	2	yes	—
87	#476×C₈₃	C₂²	1	1	yes	characteristic
88	#476×C₈₃	C₂²	1	1	yes	characteristic
89	#475×C₈₃	C₂²	1	1	yes	characteristic
90	#475×C₈₃	C₂²	1	2	yes	—
91	#475×C₈₃	C₂²	1	2	yes	—
92	#474×C₈₃	C₂²	1	1	yes	characteristic
93	#474×C₈₃	C₂²	1	2	yes	—
94	#469×C₈₃	C₂²	1	2	yes	—
95	#468×C₈₃	C₂²	1	2	yes	—
96	#466×C₈₃	C₂²	1	2	yes	—
97	#465×C₈₃	C₂²	1	2	yes	—
98	#465×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	#461×C₈₃	C₂²	1	1	yes	characteristic
103	#461×C₈₃	C₂²	1	1	yes	characteristic
104	#460×C₈₃	C₂²	1	1	yes	characteristic
105	#460×C₈₃	C₂²	1	2	yes	—
106	#459×C₈₃	C₂²	1	1	yes	characteristic
107	#449×C₈₃	C₂²	1	1	yes	characteristic
108	#449×C₈₃	C₂²	1	1	yes	characteristic
109	#448×C₈₃	C₂²	1	2	yes	—
110	#448×C₈₃	C₂²	1	2	yes	—
111	#446×C₈₃	C₂²	1	1	yes	characteristic
112	C₈×Q₈×C₈₃	C₂²	1	1	yes	characteristic
113	#440×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	2	yes	—
119	C₄×D₈×C₈₃	C₂²	1	1	yes	characteristic
120	C₄×D₈×C₈₃	C₂²	1	1	yes	characteristic
121	#436×C₈₃	C₂²	1	1	yes	characteristic
122	#435×C₈₃	C₂²	1	2	yes	—
123	C₈×D₄×C₈₃	C₂²	1	1	yes	characteristic
124	C₈×D₄×C₈₃	C₂²	1	2	yes	—
125	#433×C₈₃	C₂²	1	2	yes	—
126	#431×C₈₃	C₂²	1	1	yes	characteristic
127	#428×C₈₃	C₂²	1	2	yes	—
128	#427×C₈₃	C₂²	1	2	yes	—
129	#427×C₈₃	C₂²	1	2	yes	—
130	#424×C₈₃	C₂²	1	2	yes	—
131	C₂×C₄⋊C₈×C₈₃	C₂²	1	1	yes	characteristic
132	#419×C₈₃	C₂²	1	2	yes	—
133	#416×C₈₃	C₂²	1	2	yes	—
134	C₂×#103×C₈₃	C₂²	1	2	yes	—
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	1	no	—
139	C₂²×Q₈×C₈₃	C₂³	1	2	yes	—
140	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic
141	C₂×SD₁₆×C₈₃	C₂³	1	1	yes	characteristic
142	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
143	C₂×SD₁₆×C₈₃	C₂³	1	2	yes	—
144	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
145	C₂×D₈×C₈₃	C₂³	1	1	yes	characteristic
146	C₂×M₁₆×C₈₃	C₂³	1	2	yes	—
147	C₂²×C₈×C₈₃	C₂³	1	2	yes	—
148	C₂²×C₈×C₈₃	C₂³	1	2	yes	—
149	C₄⋊Q₈×C₈₃	—	2	1	no	—
150	C₄⋊Q₈×C₈₃	—	2	1	no	—
151	C₄⋊Q₈×C₈₃	—	2	2	no	—
152	C₄⋊Q₈×C₈₃	—	2	2	no	—
153	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
154	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
155	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	—
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	C₂³	1	1	yes	characteristic
161	#126×C₈₃	—	2	2	no	—
162	#126×C₈₃	—	2	2	no	—
163	#126×C₈₃	—	2	2	no	—
164	#126×C₈₃	—	2	2	no	—
165	#126×C₈₃	—	2	2	no	—
166	#126×C₈₃	D₄	1	2	yes	—
167	#125×C₈₃	—	2	2	no	—
168	#125×C₈₃	—	2	1	no	—
169	#125×C₈₃	D₄	1	1	yes	characteristic
170	#125×C₈₃	C₂³	1	2	yes	—
171	#125×C₈₃	C₂³	1	2	yes	—
172	#124×C₈₃	—	2	2	no	—
173	#124×C₈₃	—	2	2	no	—
174	#124×C₈₃	—	2	2	no	—
175	#124×C₈₃	—	2	2	no	—
176	#124×C₈₃	—	2	2	no	—
177	#124×C₈₃	—	2	2	no	—
178	#124×C₈₃	—	2	2	no	—
179	#124×C₈₃	—	2	1	no	—
180	#124×C₈₃	D₄	1	1	yes	characteristic
181	#124×C₈₃	C₂³	1	2	yes	—
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	D₄	1	2	yes	—
188	C₂²⋊Q₈×C₈₃	—	2	1	no	—
189	C₂²⋊Q₈×C₈₃	—	2	1	no	—
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	2	no	—
194	C₂²⋊Q₈×C₈₃	—	2	2	no	—
195	C₂²⋊Q₈×C₈₃	—	2	1	no	—
196	C₂²⋊Q₈×C₈₃	—	2	1	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	D₄	1	1	yes	characteristic
203	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
204	C₂²⋊Q₈×C₈₃	C₂³	1	2	yes	—
205	#121×C₈₃	—	2	1	no	—
206	#121×C₈₃	—	2	1	no	—
207	#121×C₈₃	—	2	2	no	—
208	#121×C₈₃	—	2	2	no	—
209	#121×C₈₃	—	2	2	no	—
210	#121×C₈₃	—	2	1	no	—
211	#121×C₈₃	—	2	2	no	—
212	#121×C₈₃	—	2	2	no	—
213	#121×C₈₃	D₄	1	1	yes	characteristic
214	#121×C₈₃	C₂³	1	1	yes	characteristic
215	#121×C₈₃	C₂³	1	1	yes	characteristic
216	#121×C₈₃	C₂³	1	2	yes	—
217	#121×C₈₃	C₂³	1	2	yes	—
218	#121×C₈₃	C₂³	1	2	yes	—
219	C₄×Q₈×C₈₃	—	2	1	no	—
220	C₄×Q₈×C₈₃	—	2	2	no	—
221	C₄×Q₈×C₈₃	—	2	2	no	—
222	C₄×Q₈×C₈₃	—	2	2	no	—
223	C₄×Q₈×C₈₃	—	2	1	no	—
224	C₄×Q₈×C₈₃	—	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	2	yes	—
228	C₄×Q₈×C₈₃	C₂³	1	2	yes	—
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	1	no	—
238	C₄×D₄×C₈₃	C₂³	1	2	yes	—
239	C₄×D₄×C₈₃	C₂³	1	2	yes	—
240	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₈₃	C₂³	1	2	yes	—
246	#117×C₈₃	—	2	1	no	—
247	#117×C₈₃	—	2	1	no	—
248	#117×C₈₃	—	2	1	no	—
249	#117×C₈₃	—	2	1	no	—
250	#117×C₈₃	—	2	2	no	—
251	#117×C₈₃	—	2	2	no	—
252	#117×C₈₃	—	2	2	no	—
253	#117×C₈₃	—	2	1	no	—
254	#117×C₈₃	C₂³	1	1	yes	characteristic
255	#117×C₈₃	C₂³	1	2	yes	—
256	#117×C₈₃	C₂³	1	2	yes	—
257	#117×C₈₃	C₂³	1	2	yes	—
258	#117×C₈₃	C₂³	1	2	yes	—
259	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
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	1	yes	characteristic
267	#107×C₈₃	C₂³	1	1	yes	characteristic
268	#107×C₈₃	C₂³	1	2	yes	—
269	#106×C₈₃	C₂³	1	2	yes	—
270	#106×C₈₃	C₂³	1	2	yes	—
271	#106×C₈₃	C₂³	1	2	yes	—
272	#106×C₈₃	C₂³	1	2	yes	—
273	#106×C₈₃	C₂³	1	2	yes	—
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	2	yes	—
282	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
283	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
284	#103×C₈₃	C₂³	1	2	yes	—
285	#103×C₈₃	C₂³	1	2	yes	—
286	#103×C₈₃	C₂³	1	2	yes	—
287	#103×C₈₃	C₂³	1	2	yes	—
288	#103×C₈₃	C₂³	1	1	yes	characteristic
289	#103×C₈₃	C₂³	1	2	yes	—
290	#103×C₈₃	C₂³	1	1	yes	characteristic
291	#103×C₈₃	C₂³	1	2	yes	—
292	#103×C₈₃	C₂³	1	2	yes	—
293	#103×C₈₃	C₂³	1	2	yes	—
294	#102×C₈₃	C₂³	1	2	yes	—
295	#102×C₈₃	C₂³	1	2	yes	—
296	#102×C₈₃	C₂³	1	1	yes	characteristic
297	#102×C₈₃	C₂³	1	2	yes	—
298	#102×C₈₃	C₂³	1	2	yes	—
299	#102×C₈₃	C₂³	1	1	yes	characteristic
300	#102×C₈₃	C₂³	1	1	yes	characteristic
301	#102×C₈₃	C₂³	1	1	yes	characteristic
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	2	yes	—
306	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
307	C₂²⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
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	2	no	—
313	#41×C₈₃	—	4	1	no	—
314	#41×C₈₃	—	8	2	no	—
315	#41×C₈₃	—	8	2	no	—
316	C₂×Q₈×C₈₃	—	2	2	no	—
317	C₂×Q₈×C₈₃	—	2	1	no	—
318	C₂×Q₈×C₈₃	—	2	1	no	—
319	C₂×Q₈×C₈₃	—	2	1	no	—
320	C₂×Q₈×C₈₃	—	2	2	no	—
321	C₂×Q₈×C₈₃	—	2	2	no	—
322	C₂×Q₈×C₈₃	—	2	1	no	—
323	C₂×Q₈×C₈₃	—	2	4	no	—
324	C₂×Q₈×C₈₃	—	4	2	no	—
325	C₂×Q₈×C₈₃	—	8	2	no	—
326	C₂×Q₈×C₈₃	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₈₃	C₂⁴	1	2	yes	—
328	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
329	C₂×D₄×C₈₃	—	2	1	no	—
330	C₂×D₄×C₈₃	—	2	2	no	—
331	C₂×D₄×C₈₃	—	2	2	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	1	no	—
337	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₈₃	C₂×D₄	1	2	yes	—
339	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
340	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
341	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₈₃	—	2	2	no	—
343	C₂²×C₄×C₈₃	—	2	2	no	—
344	C₂²×C₄×C₈₃	—	2	1	no	—
345	C₂²×C₄×C₈₃	—	2	1	no	—
346	C₂²×C₄×C₈₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
355	SD₁₆×C₈₃	—	2	2	no	—
356	SD₁₆×C₈₃	—	2	2	no	—
357	SD₁₆×C₈₃	—	4	2	no	—
358	SD₁₆×C₈₃	—	4	2	no	—
359	D₈×C₈₃	—	4	1	no	—
360	D₈×C₈₃	—	4	1	no	—
361	M₁₆×C₈₃	—	4	2	no	—
362	C₂×C₈×C₈₃	—	4	2	no	—
363	C₂×C₈×C₈₃	—	4	2	no	—
364	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
365	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
367	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₈₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₈₃	C₂⁴	1	2	yes	—
370	C₄⋊C₄×C₈₃	—	2	1	no	—
371	C₄⋊C₄×C₈₃	—	2	2	no	—
372	C₄⋊C₄×C₈₃	—	2	2	no	—
373	C₄⋊C₄×C₈₃	—	2	1	no	—
374	C₄⋊C₄×C₈₃	—	2	1	no	—
375	C₄⋊C₄×C₈₃	—	2	1	no	—
376	C₄⋊C₄×C₈₃	—	2	1	no	—
377	C₄⋊C₄×C₈₃	—	2	2	no	—
378	C₄⋊C₄×C₈₃	—	2	2	no	—
379	C₄⋊C₄×C₈₃	—	2	2	no	—
380	C₄⋊C₄×C₈₃	—	2	2	no	—
381	C₄⋊C₄×C₈₃	—	2	2	no	—
382	C₄⋊C₄×C₈₃	—	2	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	1	no	—
387	C₄⋊C₄×C₈₃	—	2	1	no	—
388	C₄⋊C₄×C₈₃	—	2	2	no	—
389	C₄⋊C₄×C₈₃	—	2	2	no	—
390	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
391	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
392	C₄⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
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	C₂⁴	1	1	yes	characteristic
397	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
398	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
399	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
400	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
401	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
402	C₄⋊C₄×C₈₃	C₂⁴	1	2	yes	—
403	C₂²⋊C₄×C₈₃	—	2	2	no	—
404	C₂²⋊C₄×C₈₃	—	2	2	no	—
405	C₂²⋊C₄×C₈₃	—	2	1	no	—
406	C₂²⋊C₄×C₈₃	—	2	2	no	—
407	C₂²⋊C₄×C₈₃	—	2	2	no	—
408	C₂²⋊C₄×C₈₃	—	2	2	no	—
409	C₂²⋊C₄×C₈₃	—	2	1	no	—
410	C₂²⋊C₄×C₈₃	—	2	1	no	—
411	C₂²⋊C₄×C₈₃	—	2	1	no	—
412	C₂²⋊C₄×C₈₃	—	2	2	no	—
413	C₂²⋊C₄×C₈₃	—	2	2	no	—
414	C₂²⋊C₄×C₈₃	—	2	2	no	—
415	C₂²⋊C₄×C₈₃	—	2	2	no	—
416	C₂²⋊C₄×C₈₃	—	2	1	no	—
417	C₂²⋊C₄×C₈₃	—	2	2	no	—
418	C₂²⋊C₄×C₈₃	—	2	2	no	—
419	C₂²⋊C₄×C₈₃	—	2	1	no	—
420	C₂²⋊C₄×C₈₃	—	2	2	no	—
421	C₂²⋊C₄×C₈₃	—	2	1	no	—
422	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
423	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
424	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
425	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
426	C₂²⋊C₄×C₈₃	C₂×D₄	1	2	yes	—
427	C₄²×C₈₃	—	2	1	no	—
428	C₄²×C₈₃	—	2	1	no	—
429	C₄²×C₈₃	—	2	1	no	—
430	C₄²×C₈₃	—	2	2	no	—
431	C₄²×C₈₃	—	2	2	no	—
432	C₄²×C₈₃	—	2	2	no	—
433	C₄²×C₈₃	—	2	2	no	—
434	C₄²×C₈₃	—	2	2	no	—
435	C₄²×C₈₃	—	2	2	no	—
436	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
437	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
438	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
439	C₄²×C₈₃	C₂⁴	1	2	yes	—
440	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
441	C₂³×C₈₃	—	2	1	no	—
442	C₂³×C₈₃	—	2	1	no	—
443	C₂³×C₈₃	—	2	1	no	—
444	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
445	C₂³×C₈₃	C₂²×D₄	1	2	yes	—
446	Q₈×C₈₃	—	2	2	no	—
447	Q₈×C₈₃	—	2	1	no	—
448	Q₈×C₈₃	—	2	2	no	—
449	Q₈×C₈₃	—	2	2	no	—
450	Q₈×C₈₃	—	4	4	no	—
451	Q₈×C₈₃	—	4	2	no	—
452	Q₈×C₈₃	—	8	1	no	—
453	Q₈×C₈₃	—	8	1	no	—
454	Q₈×C₈₃	—	8	2	no	—
455	Q₈×C₈₃	—	8	2	no	—
456	Q₈×C₈₃	—	8	1	no	—
457	Q₈×C₈₃	2₋¹⁺⁴	1	2	yes	—
458	D₄×C₈₃	—	2	2	no	—
459	D₄×C₈₃	—	2	1	no	—
460	D₄×C₈₃	—	2	1	no	—
461	D₄×C₈₃	—	2	1	no	—
462	D₄×C₈₃	—	2	1	no	—
463	D₄×C₈₃	—	2	1	no	—
464	D₄×C₈₃	—	2	1	no	—
465	D₄×C₈₃	—	4	2	no	—
466	D₄×C₈₃	—	4	2	no	—
467	D₄×C₈₃	—	8	1	no	—
468	D₄×C₈₃	—	8	1	no	—
469	D₄×C₈₃	—	8	2	no	—
470	D₄×C₈₃	—	8	2	no	—
471	D₄×C₈₃	—	8	1	no	—
472	D₄×C₈₃	—	8	1	no	—
473	D₄×C₈₃	—	8	2	no	—
474	C₂×C₄×C₈₃	—	2	1	no	—
475	C₂×C₄×C₈₃	—	2	2	no	—
476	C₂×C₄×C₈₃	—	2	2	no	—
477	C₂×C₄×C₈₃	—	2	1	no	—
478	C₂×C₄×C₈₃	—	2	1	no	—
479	C₂×C₄×C₈₃	—	2	2	no	—
480	C₂×C₄×C₈₃	—	2	1	no	—
481	C₂×C₄×C₈₃	—	2	2	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	—	4	1	no	—
489	C₂×C₄×C₈₃	—	4	2	no	—
490	C₂×C₄×C₈₃	—	4	4	no	—
491	C₂×C₄×C₈₃	—	4	2	no	—
492	C₂×C₄×C₈₃	—	4	2	no	—
493	C₂×C₄×C₈₃	—	4	2	no	—
494	C₂×C₄×C₈₃	—	8	1	no	—
495	C₂×C₄×C₈₃	—	8	2	no	—
496	C₂×C₄×C₈₃	—	8	2	no	—
497	C₂×C₄×C₈₃	—	8	2	no	—
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	C₂²×D₄	1	2	yes	—
503	C₂×C₄×C₈₃	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
507	C₈×C₈₃	—	2	1	no	—
508	C₈×C₈₃	—	2	1	no	—
509	C₈×C₈₃	—	2	1	no	—
510	C₈×C₈₃	—	2	2	no	—
511	C₈×C₈₃	—	2	2	no	—
512	C₈×C₈₃	—	2	1	no	—
513	C₂²×C₈₃	—	2	1	no	—
514	C₂²×C₈₃	—	2	2	no	—
515	C₂²×C₈₃	—	2	2	no	—
516	C₂²×C₈₃	—	2	1	no	—
517	C₂²×C₈₃	—	2	1	no	—
518	C₂²×C₈₃	—	2	2	no	—
519	C₂²×C₈₃	—	4	1	no	—
520	C₂²×C₈₃	—	4	1	no	—
521	C₂²×C₈₃	—	4	1	no	—
522	C₂²×C₈₃	—	4	1	no	—
523	C₂²×C₈₃	—	4	1	no	—
524	C₂²×C₈₃	—	4	1	no	—
525	C₂²×C₈₃	—	4	1	no	—
526	C₂²×C₈₃	—	4	1	no	—
527	C₂²×C₈₃	—	4	1	no	—
528	C₂²×C₈₃	C₂³×D₄	1	1	yes	characteristic
529	C₄×C₈₃	—	2	1	no	—
530	C₄×C₈₃	—	2	1	no	—
531	C₄×C₈₃	—	2	2	no	—
532	C₄×C₈₃	—	2	1	no	—
533	C₄×C₈₃	—	2	2	no	—
534	C₄×C₈₃	—	2	2	no	—
535	C₄×C₈₃	—	2	1	no	—
536	C₄×C₈₃	—	2	2	no	—
537	C₄×C₈₃	—	4	2	no	—
538	C₄×C₈₃	—	4	1	no	—
539	C₄×C₈₃	—	4	2	no	—
540	C₄×C₈₃	—	4	2	no	—
541	C₄×C₈₃	—	4	1	no	—
542	C₄×C₈₃	—	4	1	no	—
543	C₄×C₈₃	—	4	1	no	—
544	C₄×C₈₃	—	4	2	no	—
545	C₄×C₈₃	#577	1	2	yes	—
546	C₄×C₈₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
547	C₄×C₈₃	#585	1	1	yes	characteristic
548	#62219	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
549	C₂×C₈₃	—	4	1	no	—
550	C₂×C₈₃	—	4	2	no	—
551	C₂×C₈₃	—	8	1	no	—
552	C₂×C₈₃	—	8	1	no	—
553	C₂×C₈₃	—	8	1	no	—
554	C₂×C₈₃	#3489	1	1	yes	characteristic
555	C₂×C₈₃	C₂×#577	1	1	yes	characteristic
556	C₂×C₈₃	#3584	1	1	yes	characteristic
557	#3547	C₂×C₈₃	1	1	yes	characteristic, complemented
558	#3518	C₂×C₈₃	1	1	yes	characteristic, complemented
559	#3385	C₂×C₈₃	1	1	yes	characteristic, complemented
560	Q₈×SD₁₆	C₂×C₈₃	1	1	yes	characteristic, complemented
561	#3367	C₂×C₈₃	1	1	yes	characteristic, complemented
562	#3360	C₂×C₈₃	1	1	yes	characteristic, complemented
563	#3354	C₂×C₈₃	1	1	yes	characteristic, complemented
564	#3350	C₂×C₈₃	1	2	yes	complemented
565	#3341	C₂×C₈₃	1	1	yes	characteristic, complemented
566	#3340	C₂×C₈₃	1	2	yes	complemented
567	#3329	C₂×C₈₃	1	1	yes	characteristic, complemented
568	#3321	C₂×C₈₃	1	2	yes	complemented
569	#3301	C₂×C₈₃	1	2	yes	complemented
570	#3298	C₂×C₈₃	1	1	yes	characteristic, complemented
571	#3257	C₂×C₈₃	1	2	yes	complemented
572	#3246	C₂×C₈₃	1	1	yes	characteristic, complemented
573	#3244	C₂×C₈₃	1	2	yes	complemented
574	#3231	C₂×C₈₃	1	1	yes	characteristic, complemented
575	#3126	C₂×C₈₃	1	2	yes	complemented
576	#3106	C₂×C₈₃	1	1	yes	characteristic, complemented
577	#3082	C₂×C₈₃	1	2	yes	complemented
578	#3076	C₂×C₈₃	1	1	yes	characteristic, complemented
579	#2994	C₂×C₈₃	1	1	yes	characteristic, complemented
580	C₈₃	#62219	1	1	yes	characteristic, direct product factor, Sylow
581	#562	—	2	2	no	—
582	Q₈²	C₂²×C₈₃	1	1	yes	characteristic
583	#556	—	2	2	no	—
584	#556	—	2	1	no	—
585	#556	C₂²×C₈₃	1	1	yes	characteristic
586	#556	C₂²×C₈₃	1	2	yes	—
587	#555	—	2	1	no	—
588	#555	C₂²×C₈₃	1	1	yes	characteristic
589	#555	C₂²×C₈₃	1	2	yes	—
590	#555	C₂²×C₈₃	1	1	yes	characteristic
591	#554	C₂²×C₈₃	1	1	yes	characteristic
592	#553	C₂²×C₈₃	1	2	yes	—
593	#552	—	2	1	no	—
594	D₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic
595	D₄×Q₈	C₂²×C₈₃	1	1	yes	characteristic
596	#548	—	2	1	no	—
597	#548	C₂²×C₈₃	1	2	yes	—
598	#547	C₂²×C₈₃	1	1	yes	characteristic
599	#544	C₂²×C₈₃	1	2	yes	—
600	#542	—	2	2	no	—
601	#542	—	2	2	no	—
602	#542	C₂²×C₈₃	1	2	yes	—
603	#540	C₂²×C₈₃	1	2	yes	—
604	#537	—	2	1	no	—
605	#536	—	2	1	no	—
606	#533	—	2	1	no	—
607	#533	C₂²×C₈₃	1	1	yes	characteristic
608	#533	C₂²×C₈₃	1	1	yes	characteristic
609	#532	C₂²×C₈₃	1	1	yes	characteristic
610	#529	—	2	1	no	—
611	#529	C₂²×C₈₃	1	1	yes	characteristic
612	#519	C₂²×C₈₃	1	2	yes	—
613	C₄×#41	C₂²×C₈₃	1	1	yes	characteristic
614	#501	C₂²×C₈₃	1	2	yes	—
615	#500	C₂²×C₈₃	1	1	yes	characteristic
616	#498	C₂²×C₈₃	1	2	yes	—
617	#498	C₂²×C₈₃	1	1	yes	characteristic
618	#489	C₂²×C₈₃	1	2	yes	—
619	#488	C₂²×C₈₃	1	2	yes	—
620	#487	C₂²×C₈₃	1	1	yes	characteristic
621	#487	C₂²×C₈₃	1	1	yes	characteristic
622	#485	C₂²×C₈₃	1	2	yes	—
623	#485	C₂²×C₈₃	1	2	yes	—
624	#485	C₂²×C₈₃	1	2	yes	—
625	#483	C₂²×C₈₃	1	2	yes	—
626	#482	C₂²×C₈₃	1	1	yes	characteristic
627	#482	C₂²×C₈₃	1	2	yes	—
628	#482	C₂²×C₈₃	1	2	yes	—
629	#482	C₂²×C₈₃	1	2	yes	—
630	#482	C₂²×C₈₃	1	1	yes	characteristic
631	#481	C₂²×C₈₃	1	2	yes	—
632	#479	C₂²×C₈₃	1	2	yes	—
633	#479	C₂²×C₈₃	1	2	yes	—
634	#479	C₂²×C₈₃	1	2	yes	—
635	#479	C₂²×C₈₃	1	2	yes	—
636	#479	C₂²×C₈₃	1	2	yes	—
637	#478	C₂²×C₈₃	1	2	yes	—
638	#477	C₂²×C₈₃	1	1	yes	characteristic
639	#477	C₂²×C₈₃	1	1	yes	characteristic
640	#477	C₂²×C₈₃	1	2	yes	—
641	#476	C₂²×C₈₃	1	1	yes	characteristic
642	#476	C₂²×C₈₃	1	1	yes	characteristic
643	#476	C₂²×C₈₃	1	2	yes	—
644	#476	C₂²×C₈₃	1	1	yes	characteristic
645	#476	C₂²×C₈₃	1	1	yes	characteristic
646	#475	C₂²×C₈₃	1	1	yes	characteristic
647	#475	C₂²×C₈₃	1	2	yes	—
648	#475	C₂²×C₈₃	1	2	yes	—
649	#474	C₂²×C₈₃	1	1	yes	characteristic
650	#474	C₂²×C₈₃	1	2	yes	—
651	#469	C₂²×C₈₃	1	2	yes	—
652	#468	C₂²×C₈₃	1	2	yes	—
653	#466	C₂²×C₈₃	1	2	yes	—
654	#465	C₂²×C₈₃	1	2	yes	—
655	#465	C₂²×C₈₃	1	2	yes	—
656	#465	C₂²×C₈₃	1	2	yes	—
657	#463	C₂²×C₈₃	1	2	yes	—
658	#463	C₂²×C₈₃	1	2	yes	—
659	#461	C₂²×C₈₃	1	1	yes	characteristic
660	#461	C₂²×C₈₃	1	1	yes	characteristic
661	#460	C₂²×C₈₃	1	1	yes	characteristic
662	#460	C₂²×C₈₃	1	2	yes	—
663	#459	C₂²×C₈₃	1	1	yes	characteristic
664	#449	C₂²×C₈₃	1	1	yes	characteristic
665	#449	C₂²×C₈₃	1	1	yes	characteristic
666	#448	C₂²×C₈₃	1	2	yes	—
667	#448	C₂²×C₈₃	1	2	yes	—
668	#446	C₂²×C₈₃	1	1	yes	characteristic
669	C₈×Q₈	C₂²×C₈₃	1	1	yes	characteristic
670	#440	C₂²×C₈₃	1	2	yes	—
671	#440	C₂²×C₈₃	1	2	yes	—
672	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
673	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
674	C₄×SD₁₆	C₂²×C₈₃	1	1	yes	characteristic
675	C₄×SD₁₆	C₂²×C₈₃	1	2	yes	—
676	C₄×D₈	C₂²×C₈₃	1	1	yes	characteristic
677	C₄×D₈	C₂²×C₈₃	1	1	yes	characteristic
678	#436	C₂²×C₈₃	1	1	yes	characteristic
679	#435	C₂²×C₈₃	1	2	yes	—
680	C₈×D₄	C₂²×C₈₃	1	2	yes	—
681	C₈×D₄	C₂²×C₈₃	1	1	yes	characteristic
682	#433	C₂²×C₈₃	1	2	yes	—
683	#431	C₂²×C₈₃	1	1	yes	characteristic
684	#428	C₂²×C₈₃	1	2	yes	—
685	#427	C₂²×C₈₃	1	2	yes	—
686	#427	C₂²×C₈₃	1	2	yes	—
687	#424	C₂²×C₈₃	1	2	yes	—
688	C₂×C₄⋊C₈	C₂²×C₈₃	1	1	yes	characteristic
689	#419	C₂²×C₈₃	1	2	yes	—
690	#416	C₂²×C₈₃	1	2	yes	—
691	C₂×#103	C₂²×C₈₃	1	2	yes	—
692	C₂×#41	—	2	1	no	—
693	C₂×#41	—	2	1	no	—
694	C₂×#41	C₂³×C₈₃	1	1	yes	characteristic
695	C₂²×Q₈	—	2	1	no	—
696	C₂²×Q₈	C₂³×C₈₃	1	2	yes	—
697	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
698	C₂×SD₁₆	C₂³×C₈₃	1	1	yes	characteristic
699	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
700	C₂×SD₁₆	C₂³×C₈₃	1	2	yes	—
701	C₂×D₈	C₂³×C₈₃	1	1	yes	characteristic
702	C₂×D₈	C₂³×C₈₃	1	1	yes	characteristic
703	C₂×M₁₆	C₂³×C₈₃	1	2	yes	—
704	C₂²×C₈	C₂³×C₈₃	1	2	yes	—
705	C₂²×C₈	C₂³×C₈₃	1	2	yes	—
706	C₄⋊Q₈	—	2	1	no	—
707	C₄⋊Q₈	—	2	1	no	—
708	C₄⋊Q₈	—	2	2	no	—
709	C₄⋊Q₈	—	2	2	no	—
710	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
711	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
712	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
713	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
714	C₄⋊Q₈	C₂³×C₈₃	1	1	yes	characteristic
715	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
716	C₄⋊Q₈	C₂³×C₈₃	1	2	yes	—
717	#127	C₂³×C₈₃	1	1	yes	characteristic
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#126	—	2	2	no	—
721	#126	—	2	2	no	—
722	#126	—	2	2	no	—
723	#126	D₄×C₈₃	1	2	yes	—
724	#125	—	2	2	no	—
725	#125	—	2	1	no	—
726	#125	D₄×C₈₃	1	1	yes	characteristic
727	#125	C₂³×C₈₃	1	2	yes	—
728	#125	C₂³×C₈₃	1	2	yes	—
729	#124	—	2	2	no	—
730	#124	—	2	2	no	—
731	#124	—	2	2	no	—
732	#124	—	2	2	no	—
733	#124	—	2	2	no	—
734	#124	—	2	2	no	—
735	#124	—	2	2	no	—
736	#124	—	2	1	no	—
737	#124	D₄×C₈₃	1	1	yes	characteristic
738	#124	C₂³×C₈₃	1	2	yes	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	—	2	2	no	—
743	#123	—	2	2	no	—
744	#123	D₄×C₈₃	1	2	yes	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	1	no	—
747	C₂²⋊Q₈	—	2	1	no	—
748	C₂²⋊Q₈	—	2	1	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	1	no	—
753	C₂²⋊Q₈	—	2	1	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	D₄×C₈₃	1	1	yes	characteristic
760	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
761	C₂²⋊Q₈	C₂³×C₈₃	1	2	yes	—
762	#121	—	2	1	no	—
763	#121	—	2	1	no	—
764	#121	—	2	2	no	—
765	#121	—	2	2	no	—
766	#121	—	2	2	no	—
767	#121	—	2	1	no	—
768	#121	—	2	2	no	—
769	#121	—	2	2	no	—
770	#121	D₄×C₈₃	1	1	yes	characteristic
771	#121	C₂³×C₈₃	1	1	yes	characteristic
772	#121	C₂³×C₈₃	1	1	yes	characteristic
773	#121	C₂³×C₈₃	1	2	yes	—
774	#121	C₂³×C₈₃	1	2	yes	—
775	#121	C₂³×C₈₃	1	2	yes	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	2	no	—
778	C₄×Q₈	—	2	2	no	—
779	C₄×Q₈	—	2	2	no	—
780	C₄×Q₈	—	2	1	no	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	—	2	1	no	—
783	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
784	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
785	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
786	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
787	C₄×Q₈	C₂³×C₈₃	1	2	yes	—
788	C₄×Q₈	C₂³×C₈₃	1	1	yes	characteristic
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
796	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
797	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
798	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
799	C₄×D₄	C₂³×C₈₃	1	2	yes	—
800	C₄×D₄	C₂³×C₈₃	1	2	yes	—
801	C₄×D₄	C₂³×C₈₃	1	1	yes	characteristic
802	C₄×D₄	C₂³×C₈₃	1	2	yes	—
803	#117	—	2	1	no	—
804	#117	—	2	1	no	—
805	#117	—	2	1	no	—
806	#117	—	2	1	no	—
807	#117	—	2	2	no	—
808	#117	—	2	2	no	—
809	#117	—	2	2	no	—
810	#117	—	2	1	no	—
811	#117	C₂³×C₈₃	1	1	yes	characteristic
812	#117	C₂³×C₈₃	1	2	yes	—
813	#117	C₂³×C₈₃	1	2	yes	—
814	#117	C₂³×C₈₃	1	2	yes	—
815	#117	C₂³×C₈₃	1	2	yes	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	C₂³×C₈₃	1	2	yes	—
818	C₂×C₄²	—	2	1	no	—
819	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
820	#107	C₂³×C₈₃	1	1	yes	characteristic
821	#107	C₂³×C₈₃	1	2	yes	—
822	#107	C₂³×C₈₃	1	2	yes	—
823	#107	C₂³×C₈₃	1	2	yes	—
824	#107	C₂³×C₈₃	1	1	yes	characteristic
825	#107	C₂³×C₈₃	1	2	yes	—
826	#106	C₂³×C₈₃	1	2	yes	—
827	#106	C₂³×C₈₃	1	2	yes	—
828	#106	C₂³×C₈₃	1	2	yes	—
829	#106	C₂³×C₈₃	1	2	yes	—
830	#106	C₂³×C₈₃	1	2	yes	—
831	#106	C₂³×C₈₃	1	1	yes	characteristic
832	#106	C₂³×C₈₃	1	1	yes	characteristic
833	#106	C₂³×C₈₃	1	2	yes	—
834	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
835	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
836	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
837	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
839	C₄⋊C₈	C₂³×C₈₃	1	2	yes	—
840	C₄⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
841	#103	C₂³×C₈₃	1	1	yes	characteristic
842	#103	C₂³×C₈₃	1	2	yes	—
843	#103	C₂³×C₈₃	1	2	yes	—
844	#103	C₂³×C₈₃	1	2	yes	—
845	#103	C₂³×C₈₃	1	2	yes	—
846	#103	C₂³×C₈₃	1	1	yes	characteristic
847	#103	C₂³×C₈₃	1	2	yes	—
848	#103	C₂³×C₈₃	1	2	yes	—
849	#103	C₂³×C₈₃	1	2	yes	—
850	#103	C₂³×C₈₃	1	2	yes	—
851	#102	C₂³×C₈₃	1	2	yes	—
852	#102	C₂³×C₈₃	1	2	yes	—
853	#102	C₂³×C₈₃	1	1	yes	characteristic
854	#102	C₂³×C₈₃	1	1	yes	characteristic
855	#102	C₂³×C₈₃	1	1	yes	characteristic
856	#102	C₂³×C₈₃	1	1	yes	characteristic
857	#102	C₂³×C₈₃	1	1	yes	characteristic
858	#102	C₂³×C₈₃	1	1	yes	characteristic
859	#102	C₂³×C₈₃	1	2	yes	—
860	#102	C₂³×C₈₃	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
862	C₂²⋊C₈	C₂³×C₈₃	1	1	yes	characteristic
863	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
864	C₂²⋊C₈	C₂³×C₈₃	1	2	yes	—
865	#97	C₂³×C₈₃	1	2	yes	—
866	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
867	C₄×C₈	C₂³×C₈₃	1	1	yes	characteristic
868	C₄×C₈	C₂³×C₈₃	1	2	yes	—
869	#41	—	2	2	no	—
870	#41	—	4	1	no	—
871	#41	—	8	2	no	—
872	#41	—	8	2	no	—
873	C₂×Q₈	—	2	2	no	—
874	C₂×Q₈	—	2	1	no	—
875	C₂×Q₈	—	2	1	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	—	2	2	no	—
879	C₂×Q₈	—	2	1	no	—
880	C₂×Q₈	—	2	4	no	—
881	C₂×Q₈	—	4	2	no	—
882	C₂×Q₈	—	8	2	no	—
883	C₂×Q₈	C₂×D₄×C₈₃	1	1	yes	characteristic
884	C₂×Q₈	C₂⁴×C₈₃	1	2	yes	—
885	C₂×Q₈	C₂⁴×C₈₃	1	1	yes	characteristic
886	C₂×D₄	—	2	1	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	1	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	—	2	1	no	—
894	C₂×D₄	C₂×D₄×C₈₃	1	1	yes	characteristic
895	C₂×D₄	C₂×D₄×C₈₃	1	2	yes	—
896	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
897	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
898	C₂×D₄	C₂⁴×C₈₃	1	1	yes	characteristic
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
909	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
910	C₂²×C₄	C₂⁴×C₈₃	1	1	yes	characteristic
911	C₂²×C₄	C₂⁴×C₈₃	1	2	yes	—
912	SD₁₆	—	2	2	no	—
913	SD₁₆	—	2	2	no	—
914	SD₁₆	—	4	2	no	—
915	SD₁₆	—	4	2	no	—
916	D₈	—	4	1	no	—
917	D₈	—	4	1	no	—
918	M₁₆	—	4	2	no	—
919	C₂×C₈	—	4	2	no	—
920	C₂×C₈	—	4	2	no	—
921	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
922	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
923	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
924	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
925	C₂×C₈	C₂⁴×C₈₃	1	1	yes	characteristic
926	C₂×C₈	C₂⁴×C₈₃	1	2	yes	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	1	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	—	2	2	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
948	C₄⋊C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
949	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
950	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
951	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
952	C₄⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
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	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
957	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
958	C₄⋊C₄	C₂⁴×C₈₃	1	1	yes	characteristic
959	C₄⋊C₄	C₂⁴×C₈₃	1	2	yes	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	1	no	—
967	C₂²⋊C₄	—	2	1	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	—	2	1	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	1	no	—
979	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
980	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
981	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
982	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
983	C₂²⋊C₄	C₂×D₄×C₈₃	1	2	yes	—
984	C₄²	—	2	1	no	—
985	C₄²	—	2	1	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	2	no	—
988	C₄²	—	2	2	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	2	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	2	no	—
993	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
994	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
995	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
996	C₄²	C₂⁴×C₈₃	1	2	yes	—
997	C₄²	C₂⁴×C₈₃	1	1	yes	characteristic
998	C₂³	—	2	1	no	—
999	C₂³	—	2	1	no	—
1000	C₂³	—	2	1	no	—
1001	C₂³	C₂²×D₄×C₈₃	1	1	yes	characteristic
1002	C₂³	C₂²×D₄×C₈₃	1	2	yes	—
1003	Q₈	—	2	2	no	—
1004	Q₈	—	2	1	no	—
1005	Q₈	—	2	2	no	—
1006	Q₈	—	2	2	no	—
1007	Q₈	—	4	4	no	—
1008	Q₈	—	4	2	no	—
1009	Q₈	—	8	2	no	—
1010	Q₈	—	8	1	no	—
1011	Q₈	—	8	1	no	—
1012	Q₈	—	8	1	no	—
1013	Q₈	—	8	2	no	—
1014	Q₈	2₋¹⁺⁴×C₈₃	1	2	yes	—
1015	D₄	—	2	2	no	—
1016	D₄	—	2	1	no	—
1017	D₄	—	2	1	no	—
1018	D₄	—	2	1	no	—
1019	D₄	—	2	1	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	2	1	no	—
1022	D₄	—	4	2	no	—
1023	D₄	—	4	2	no	—
1024	D₄	—	8	1	no	—
1025	D₄	—	8	1	no	—
1026	D₄	—	8	1	no	—
1027	D₄	—	8	1	no	—
1028	D₄	—	8	2	no	—
1029	D₄	—	8	2	no	—
1030	D₄	—	8	2	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	4	1	no	—
1046	C₂×C₄	—	4	2	no	—
1047	C₂×C₄	—	4	4	no	—
1048	C₂×C₄	—	4	2	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	4	2	no	—
1051	C₂×C₄	—	8	2	no	—
1052	C₂×C₄	—	8	1	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	—	8	2	no	—
1055	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1056	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1057	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1058	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1059	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1060	C₂×C₄	C₂²×D₄×C₈₃	1	2	yes	—
1061	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₈₃	1	1	yes	characteristic
1063	C₂×C₄	C₂⁵×C₈₃	1	1	yes	characteristic
1064	C₈	—	2	1	no	—
1065	C₈	—	2	1	no	—
1066	C₈	—	2	1	no	—
1067	C₈	—	2	2	no	—
1068	C₈	—	2	2	no	—
1069	C₈	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	2	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	2	no	—
1074	C₂²	—	2	2	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	4	1	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	1	no	—
1079	C₂²	—	4	1	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	C₂³×D₄×C₈₃	1	1	yes	characteristic
1086	C₄	—	2	1	no	—
1087	C₄	—	2	2	no	—
1088	C₄	—	2	1	no	—
1089	C₄	—	2	1	no	—
1090	C₄	—	2	2	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	4	1	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	2	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	2	no	—
1101	C₄	—	4	2	no	—
1102	C₄	#577×C₈₃	1	2	yes	—
1103	C₄	C₂×2₋¹⁺⁴×C₈₃	1	1	yes	characteristic
1104	C₄	#585×C₈₃	1	1	yes	characteristic
1105	C₂	—	4	1	no	—
1106	C₂	—	4	2	no	—
1107	C₂	—	8	1	no	—
1108	C₂	—	8	1	no	—
1109	C₂	—	8	1	no	—
1110	C₂	C₈₃×#3489	1	1	yes	characteristic
1111	C₂	C₂×#577×C₈₃	1	1	yes	characteristic
1112	C₂	C₈₃×#3584	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×#3518	C₂	semidirect
3. C₈₃×#3385	C₂	semidirect
4. Q₈×SD₁₆×C₈₃	C₂	semidirect
5. C₈₃×#3367	C₂	semidirect
6. C₈₃×#3360	C₂	semidirect
7. C₈₃×#3354	C₂	semidirect
8. C₈₃×#3350	C₂	semidirect
9. C₈₃×#3341	C₂	semidirect
10. C₈₃×#3340	C₂	semidirect
11. C₈₃×#3329	C₂	semidirect
12. C₈₃×#3321	C₂	semidirect
13. C₈₃×#3301	C₂	semidirect
14. C₈₃×#3298	C₂	semidirect
15. C₈₃×#3257	C₂	semidirect
16. C₈₃×#3246	C₂	semidirect
17. C₈₃×#3244	C₂	semidirect
18. C₈₃×#3231	C₂	semidirect
19. C₈₃×#3126	C₂	semidirect
20. C₈₃×#3106	C₂	semidirect
21. C₈₃×#3082	C₂	semidirect
22. C₈₃×#3076	C₂	semidirect
23. C₈₃×#2994	C₂	semidirect
548. #62219	C₈₃	direct (N × H)
557. #3547	C₂×C₈₃	semidirect
558. #3518	C₂×C₈₃	semidirect
559. #3385	C₂×C₈₃	semidirect
560. Q₈×SD₁₆	C₂×C₈₃	semidirect
561. #3367	C₂×C₈₃	semidirect
562. #3360	C₂×C₈₃	semidirect
563. #3354	C₂×C₈₃	semidirect
564. #3350	C₂×C₈₃	semidirect
565. #3341	C₂×C₈₃	semidirect
566. #3340	C₂×C₈₃	semidirect
567. #3329	C₂×C₈₃	semidirect
568. #3321	C₂×C₈₃	semidirect
569. #3301	C₂×C₈₃	semidirect
570. #3298	C₂×C₈₃	semidirect
571. #3257	C₂×C₈₃	semidirect
572. #3246	C₂×C₈₃	semidirect
573. #3244	C₂×C₈₃	semidirect
574. #3231	C₂×C₈₃	semidirect
575. #3126	C₂×C₈₃	semidirect
576. #3106	C₂×C₈₃	semidirect
577. #3082	C₂×C₈₃	semidirect
578. #3076	C₂×C₈₃	semidirect
579. #2994	C₂×C₈₃	semidirect
580. C₈₃	#62219	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×#3518	2
C₈₃×#3385	2
Q₈×SD₁₆×C₈₃	2
C₈₃×#3367	2
C₈₃×#3360	2
C₈₃×#3354	2
C₈₃×#3350	2
C₈₃×#3341	2
C₈₃×#3340	2
C₈₃×#3329	2
C₈₃×#3321	2
C₈₃×#3301	2
C₈₃×#3298	2
C₈₃×#3257	2
C₈₃×#3246	2
C₈₃×#3244	2
C₈₃×#3231	2
C₈₃×#3126	2
C₈₃×#3106	2
C₈₃×#3082	2
C₈₃×#3076	2
C₈₃×#2994	2
#62219	83

Subgroups — C83×#62219 #35290043

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#62219 #35290043