Subgroups — #35387124

Order 21248.

596 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#24918049	C₂	1	1	yes	maximal, characteristic, complemented
2	#24917251	C₂	1	2	yes	maximal
3	#24907045	C₂	1	2	yes	maximal, complemented
4	#24907038	C₂	1	2	yes	maximal, complemented
5	#24906991	C₂	1	1	yes	maximal, characteristic, complemented
6	#24906986	C₂	1	1	yes	maximal, characteristic, complemented
7	#24906957	C₂	1	1	yes	maximal, characteristic, complemented
8	#24906952	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#19127452	C₂	1	1	yes	maximal, characteristic, complemented
10	#24906118	C₂	1	2	yes	maximal, complemented
11	C₈₃×#2965	C₂	1	1	yes	maximal, characteristic
12	#19128258	C₂²	1	2	yes	—
13	#19128106	C₂²	1	1	yes	characteristic
14	#19128081	C₂²	1	1	yes	characteristic
15	#19128052	C₂²	1	2	yes	—
16	#19128008	—	2	2	no	—
17	#19128001	—	2	2	no	—
18	#19127996	C₂²	1	2	yes	—
19	#19127991	C₂²	1	2	yes	—
20	#19127986	C₂²	1	2	yes	—
21	#19127981	C₂²	1	2	yes	—
22	#19127942	—	2	1	no	—
23	#19127942	—	2	1	no	—
24	C₄×Dic₃₃₂	—	2	1	no	—
25	C₄×Dic₃₃₂	—	2	1	no	—
26	#19127737	—	2	2	no	—
27	C₂×C₄⋊(C₈₃⋊C₈)	C₂²	1	2	yes	—
28	#19127697	—	2	2	no	—
29	#19127452	C₂²	1	2	yes	—
30	#19127452	C₂²	1	1	yes	characteristic
31	#19127452	C₂²	1	1	yes	characteristic
32	#19127449	C₂²	1	2	yes	—
33	#19127449	C₂²	1	2	yes	—
34	#19127448	C₂²	1	2	yes	—
35	#19127448	C₂²	1	2	yes	—
36	C₄×#41×C₈₃	C₂²	1	1	yes	characteristic
37	#446×C₈₃	C₂²	1	1	yes	characteristic
38	#446×C₈₃	C₂²	1	1	yes	characteristic
39	#436×C₈₃	C₂²	1	1	yes	characteristic
40	#436×C₈₃	C₂²	1	1	yes	characteristic
41	#435×C₈₃	—	2	1	no	—
42	#435×C₈₃	—	2	1	no	—
43	#431×C₈₃	—	2	1	no	—
44	#431×C₈₃	C₂²	1	1	yes	characteristic
45	C₄×M₁₆×C₈₃	—	2	1	no	—
46	C₂×C₄×C₈×C₈₃	C₂²	1	1	yes	characteristic
47	C₂×Dic₃₃₂	—	2	1	no	—
48	C₂×Dic₃₃₂	—	2	1	no	—
49	C₂²×C₈₃⋊C₈	—	2	2	no	—
50	#14581792	C₂³	1	2	yes	—
51	#14581792	C₂³	1	2	yes	—
52	#14581784	—	2	2	no	—
53	#14581771	—	2	2	no	—
54	#14581771	—	2	2	no	—
55	C₄×Dic₁₆₆	—	2	2	no	—
56	C₄×Dic₁₆₆	—	2	2	no	—
57	#14581751	—	2	2	no	—
58	#14581726	—	2	1	no	—
59	#14581726	—	2	1	no	—
60	#14581725	—	2	2	no	—
61	#14581725	—	2	2	no	—
62	#14581723	—	2	2	no	—
63	#14581723	—	2	2	no	—
64	C₄⋊(C₈₃⋊C₈)	—	2	2	no	—
65	C₄⋊(C₈₃⋊C₈)	C₂³	1	2	yes	—
66	C₄⋊(C₈₃⋊C₈)	C₂³	1	2	yes	—
67	#14581717	—	2	2	no	—
68	#14581717	—	2	2	no	—
69	#14581716	—	2	2	no	—
70	#14581716	—	2	2	no	—
71	#14581713	—	2	2	no	—
72	#14581713	—	2	2	no	—
73	C₂×#41×C₈₃	D₄	1	1	yes	characteristic
74	C₂×M₁₆×C₈₃	—	2	1	no	—
75	C₂×M₁₆×C₈₃	—	2	1	no	—
76	C₂²×C₈×C₈₃	D₄	1	1	yes	characteristic
77	C₂²×C₈×C₈₃	D₄	1	1	yes	characteristic
78	C₄×Q₈×C₈₃	D₄	1	1	yes	characteristic
79	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
80	C₄×D₄×C₈₃	—	2	1	no	—
81	C₄×D₄×C₈₃	—	2	1	no	—
82	C₄×D₄×C₈₃	D₄	1	1	yes	characteristic
83	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
84	#117×C₈₃	—	2	1	no	—
85	#117×C₈₃	D₄	1	1	yes	characteristic
86	C₂×C₄²×C₈₃	—	2	1	no	—
87	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₈₃	—	2	1	no	—
89	C₄⋊C₈×C₈₃	—	2	1	no	—
90	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
91	C₄⋊C₈×C₈₃	C₂³	1	1	yes	characteristic
92	C₂²⋊C₈×C₈₃	—	2	1	no	—
93	C₂²⋊C₈×C₈₃	—	2	1	no	—
94	C₂²⋊C₈×C₈₃	—	2	1	no	—
95	#97×C₈₃	—	2	1	no	—
96	#97×C₈₃	—	2	1	no	—
97	C₄×C₈×C₈₃	—	2	1	no	—
98	C₄×C₈×C₈₃	D₄	1	1	yes	characteristic
99	C₄×C₈×C₈₃	D₄	1	1	yes	characteristic
100	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
101	C₄×C₈×C₈₃	C₂³	1	1	yes	characteristic
102	C₂×Dic₁₆₆	—	2	2	no	—
103	C₂×Dic₁₆₆	—	2	2	no	—
104	Dic₃₃₂	—	4	2	no	—
105	Dic₃₃₂	—	4	2	no	—
106	C₂×C₈₃⋊C₈	—	2	2	no	—
107	C₂×C₈₃⋊C₈	—	2	2	no	—
108	C₂×C₈₃⋊C₈	—	4	4	no	—
109	C₄⋊Dic₈₃	—	2	2	no	—
110	C₄⋊Dic₈₃	—	2	2	no	—
111	C₄⋊Dic₈₃	—	2	2	no	—
112	C₄⋊Dic₈₃	—	2	2	no	—
113	Dic₈₃⋊C₄	—	4	2	no	—
114	Dic₈₃⋊C₄	—	4	2	no	—
115	C₂²⋊Dic₈₃	—	4	2	no	—
116	C₄×Dic₈₃	—	4	2	no	—
117	#41×C₈₃	—	2	4	no	—
118	C₂×Q₈×C₈₃	C₂×D₄	1	1	yes	characteristic
119	C₂×D₄×C₈₃	—	2	1	no	—
120	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
121	C₂²×C₄×C₈₃	—	2	1	no	—
122	C₂²×C₄×C₈₃	—	2	1	no	—
123	C₂²×C₄×C₈₃	—	2	1	no	—
124	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
125	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
126	C₂²×C₄×C₈₃	#41	1	1	yes	characteristic
127	M₁₆×C₈₃	—	4	2	no	—
128	M₁₆×C₈₃	—	4	2	no	—
129	C₂×C₈×C₈₃	—	2	2	no	—
130	C₂×C₈×C₈₃	—	2	1	no	—
131	C₂×C₈×C₈₃	—	2	1	no	—
132	C₂×C₈×C₈₃	—	4	1	no	—
133	C₂×C₈×C₈₃	C₂×D₄	1	1	yes	characteristic
134	C₂×C₈×C₈₃	C₂×D₄	1	1	yes	characteristic
135	C₂×C₈×C₈₃	C₂×D₄	1	1	yes	characteristic
136	C₂×C₈×C₈₃	C₂×D₄	1	1	yes	characteristic
137	C₄⋊C₄×C₈₃	—	2	1	no	—
138	C₄⋊C₄×C₈₃	—	2	1	no	—
139	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
140	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
141	C₂²⋊C₄×C₈₃	—	2	1	no	—
142	C₂²⋊C₄×C₈₃	—	2	1	no	—
143	C₂²⋊C₄×C₈₃	—	2	1	no	—
144	C₄²×C₈₃	—	2	1	no	—
145	C₄²×C₈₃	—	2	1	no	—
146	C₄²×C₈₃	—	2	1	no	—
147	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
148	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
149	C₄²×C₈₃	#41	1	1	yes	characteristic
150	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
151	C₂³×C₈₃	—	2	1	no	—
152	C₂³×C₈₃	#121	1	1	yes	characteristic
153	Q₈×C₈₃	—	2	2	no	—
154	D₄×C₈₃	—	2	2	no	—
155	D₄×C₈₃	—	4	2	no	—
156	C₂×C₄×C₈₃	—	2	1	no	—
157	C₂×C₄×C₈₃	—	2	1	no	—
158	C₂×C₄×C₈₃	—	2	1	no	—
159	C₂×C₄×C₈₃	—	2	1	no	—
160	C₂×C₄×C₈₃	—	2	1	no	—
161	C₂×C₄×C₈₃	—	4	1	no	—
162	C₂×C₄×C₈₃	—	4	2	no	—
163	C₂×C₄×C₈₃	—	4	1	no	—
164	C₂×C₄×C₈₃	—	4	1	no	—
165	C₂×C₄×C₈₃	—	4	2	no	—
166	C₂×C₄×C₈₃	#121	1	1	yes	characteristic
167	C₂×C₄×C₈₃	#121	1	1	yes	characteristic
168	C₂×C₄×C₈₃	#121	1	1	yes	characteristic
169	C₂×C₄×C₈₃	#137	1	4	yes	—
170	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₄×C₈₃	C₂×#41	1	1	yes	characteristic
173	C₂×Dic₈₃	—	4	2	no	—
174	C₂×Dic₈₃	—	4	2	no	—
175	Dic₁₆₆	—	4	2	no	—
176	Dic₁₆₆	—	4	2	no	—
177	Dic₁₆₆	—	8	2	no	—
178	C₈×C₈₃	—	2	1	no	—
179	C₈×C₈₃	—	2	1	no	—
180	C₈×C₈₃	—	2	1	no	—
181	C₈×C₈₃	—	4	1	no	—
182	C₈×C₈₃	—	4	1	no	—
183	C₈×C₈₃	#135	1	2	yes	—
184	C₈₃⋊C₈	—	4	2	no	—
185	C₈₃⋊C₈	—	4	2	no	—
186	C₂²×C₈₃	—	2	1	no	—
187	C₂²×C₈₃	—	2	1	no	—
188	C₂²×C₈₃	—	4	1	no	—
189	C₂²×C₈₃	—	4	1	no	—
190	C₂²×C₈₃	—	4	1	no	—
191	C₂²×C₈₃	#470	1	2	yes	—
192	C₂²×C₈₃	C₂×#121	1	1	yes	characteristic
193	C₄×C₈₃	—	2	1	no	—
194	C₄×C₈₃	—	2	1	no	—
195	C₄×C₈₃	—	2	1	no	—
196	C₄×C₈₃	—	4	1	no	—
197	C₄×C₈₃	—	4	1	no	—
198	C₄×C₈₃	—	4	1	no	—
199	C₄×C₈₃	#470	1	2	yes	—
200	C₄×C₈₃	C₂×#135	1	1	yes	characteristic
201	C₄×C₈₃	C₂×#137	1	2	yes	—
202	C₄×C₈₃	#575	1	1	yes	characteristic
203	Dic₈₃	—	8	2	no	—
204	Dic₈₃	—	8	2	no	—
205	#19158	—	83	1	no	maximal, Sylow
206	C₂×C₈₃	—	2	2	no	—
207	C₂×C₈₃	—	8	1	no	—
208	C₂×C₈₃	#3035	1	1	yes	characteristic
209	C₂×C₈₃	C₂×#470	1	1	yes	characteristic
210	C₂×C₈₃	#3067	1	1	yes	characteristic
211	#3170	—	83	1	no	—
212	#3076	—	83	2	no	—
213	#2965	D₈₃	1	1	yes	characteristic
214	#1704	—	83	2	no	—
215	#1703	—	83	2	no	—
216	#1696	—	83	1	no	—
217	#1695	—	83	1	no	—
218	#1690	—	83	1	no	—
219	#1689	—	83	1	no	—
220	C₂×#334	—	83	1	no	—
221	#1542	—	83	2	no	—
222	C₈₃	#19158	1	1	yes	characteristic, complemented, Sylow
223	#533	—	83	2	no	—
224	C₄×#41	C₂×D₈₃	1	1	yes	characteristic
225	#500	—	83	1	no	—
226	#494	—	83	1	no	—
227	#487	—	83	2	no	—
228	#479	—	166	2	no	—
229	#478	—	166	2	no	—
230	#477	—	83	2	no	—
231	#476	—	83	2	no	—
232	#475	—	83	2	no	—
233	#474	—	83	2	no	—
234	#467	—	166	1	no	—
235	#467	—	166	1	no	—
236	#446	C₂×D₈₃	1	1	yes	characteristic
237	#446	C₂×D₈₃	1	1	yes	characteristic
238	C₄×Q₁₆	—	166	1	no	—
239	C₄×Q₁₆	—	166	1	no	—
240	#436	C₂×D₈₃	1	1	yes	characteristic
241	#436	C₂×D₈₃	1	1	yes	characteristic
242	#435	—	2	1	no	—
243	#435	—	2	1	no	—
244	#431	—	2	1	no	—
245	#431	C₂×D₈₃	1	1	yes	characteristic
246	#427	—	166	2	no	—
247	C₂×C₄⋊C₈	—	83	2	no	—
248	#416	—	166	2	no	—
249	C₄×M₁₆	—	2	1	no	—
250	C₂×C₄×C₈	C₂×D₈₃	1	1	yes	characteristic
251	#334	—	83	1	no	—
252	#334	—	83	1	no	—
253	#334	—	83	2	no	—
254	#333	—	83	2	no	—
255	#333	—	83	2	no	—
256	#332	—	83	2	no	—
257	#332	—	83	2	no	—
258	C₂×#41	D₃₃₂	1	1	yes	characteristic
259	C₂×Q₁₆	—	166	1	no	—
260	C₂×Q₁₆	—	166	1	no	—
261	C₂×M₁₆	—	2	1	no	—
262	C₂×M₁₆	—	2	1	no	—
263	C₂²×C₈	—	166	2	no	—
264	C₂²×C₈	C₂²⋊D₈₃	1	1	yes	characteristic
265	C₂²×C₈	C₂²⋊D₈₃	1	1	yes	characteristic
266	C₄⋊Q₈	—	83	2	no	—
267	C₄⋊Q₈	—	83	2	no	—
268	#125	—	166	2	no	—
269	C₂²⋊Q₈	—	166	2	no	—
270	C₂²⋊Q₈	—	166	2	no	—
271	C₄×Q₈	—	166	2	no	—
272	C₄×Q₈	—	166	2	no	—
273	C₄×Q₈	D₃₃₂	1	1	yes	characteristic
274	C₄×Q₈	C₂²×D₈₃	1	1	yes	characteristic
275	C₄×D₄	—	2	1	no	—
276	C₄×D₄	—	2	1	no	—
277	C₄×D₄	D₃₃₂	1	1	yes	characteristic
278	C₄×D₄	C₂²×D₈₃	1	1	yes	characteristic
279	#117	—	2	1	no	—
280	#117	—	166	2	no	—
281	#117	D₃₃₂	1	1	yes	characteristic
282	C₂×C₄²	—	2	1	no	—
283	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
284	#107	—	166	1	no	—
285	#107	—	166	1	no	—
286	#107	—	166	2	no	—
287	#107	—	166	2	no	—
288	#106	—	166	2	no	—
289	#106	—	166	2	no	—
290	C₄⋊C₈	—	2	1	no	—
291	C₄⋊C₈	—	2	1	no	—
292	C₄⋊C₈	—	83	2	no	—
293	C₄⋊C₈	—	83	2	no	—
294	C₄⋊C₈	—	166	2	no	—
295	C₄⋊C₈	C₂²×D₈₃	1	1	yes	characteristic
296	C₄⋊C₈	C₂²×D₈₃	1	1	yes	characteristic
297	#103	—	166	2	no	—
298	#103	—	166	2	no	—
299	#103	—	166	2	no	—
300	#103	—	166	2	no	—
301	#102	—	166	2	no	—
302	#102	—	166	2	no	—
303	C₂²⋊C₈	—	2	1	no	—
304	C₂²⋊C₈	—	2	1	no	—
305	C₂²⋊C₈	—	2	1	no	—
306	#97	—	2	1	no	—
307	#97	—	2	1	no	—
308	C₄×C₈	—	2	1	no	—
309	C₄×C₈	C₂²⋊D₈₃	1	1	yes	characteristic
310	C₄×C₈	C₂²⋊D₈₃	1	1	yes	characteristic
311	C₄×C₈	C₂²×D₈₃	1	1	yes	characteristic
312	C₄×C₈	C₂²×D₈₃	1	1	yes	characteristic
313	#41	—	2	4	no	—
314	C₂×Q₈	—	166	2	no	—
315	C₂×Q₈	—	166	2	no	—
316	C₂×Q₈	C₂×D₃₃₂	1	1	yes	characteristic
317	C₂×D₄	—	2	1	no	—
318	C₂×D₄	C₂×D₃₃₂	1	1	yes	characteristic
319	C₂²×C₄	—	2	1	no	—
320	C₂²×C₄	—	2	1	no	—
321	C₂²×C₄	—	2	1	no	—
322	C₂²×C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
323	C₂²×C₄	C₂×D₃₃₂	1	1	yes	characteristic
324	C₂²×C₄	#13050590	1	1	yes	characteristic
325	Q₁₆	—	332	2	no	—
326	Q₁₆	—	332	2	no	—
327	M₁₆	—	4	2	no	—
328	M₁₆	—	4	2	no	—
329	C₂×C₈	—	2	2	no	—
330	C₂×C₈	—	2	1	no	—
331	C₂×C₈	—	2	1	no	—
332	C₂×C₈	—	4	1	no	—
333	C₂×C₈	—	332	4	no	—
334	C₂×C₈	—	166	2	no	—
335	C₂×C₈	—	166	2	no	—
336	C₂×C₈	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
337	C₂×C₈	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
338	C₂×C₈	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
339	C₂×C₈	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
340	C₄⋊C₄	—	2	1	no	—
341	C₄⋊C₄	—	2	1	no	—
342	C₄⋊C₄	—	332	2	no	—
343	C₄⋊C₄	—	332	2	no	—
344	C₄⋊C₄	—	166	2	no	—
345	C₄⋊C₄	—	166	2	no	—
346	C₄⋊C₄	—	166	2	no	—
347	C₄⋊C₄	—	166	2	no	—
348	C₄⋊C₄	C₂×D₃₃₂	1	1	yes	characteristic
349	C₄⋊C₄	C₂×D₃₃₂	1	1	yes	characteristic
350	C₂²⋊C₄	—	2	1	no	—
351	C₂²⋊C₄	—	2	1	no	—
352	C₂²⋊C₄	—	2	1	no	—
353	C₂²⋊C₄	—	332	2	no	—
354	C₄²	—	2	1	no	—
355	C₄²	—	2	1	no	—
356	C₄²	—	2	1	no	—
357	C₄²	—	332	2	no	—
358	C₄²	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
359	C₄²	C₂×D₃₃₂	1	1	yes	characteristic
360	C₄²	#13050590	1	1	yes	characteristic
361	C₄²	C₂³×D₈₃	1	1	yes	characteristic
362	C₂³	—	2	1	no	—
363	C₂³	#14581766	1	1	yes	characteristic
364	Q₈	—	2	2	no	—
365	Q₈	—	332	2	no	—
366	Q₈	—	332	2	no	—
367	Q₈	—	664	2	no	—
368	D₄	—	2	2	no	—
369	D₄	—	4	2	no	—
370	C₂×C₄	—	2	1	no	—
371	C₂×C₄	—	2	1	no	—
372	C₂×C₄	—	2	1	no	—
373	C₂×C₄	—	2	1	no	—
374	C₂×C₄	—	2	1	no	—
375	C₂×C₄	—	4	1	no	—
376	C₂×C₄	—	4	2	no	—
377	C₂×C₄	—	4	2	no	—
378	C₂×C₄	—	4	1	no	—
379	C₂×C₄	—	4	1	no	—
380	C₂×C₄	—	332	2	no	—
381	C₂×C₄	—	332	2	no	—
382	C₂×C₄	#14581766	1	1	yes	characteristic
383	C₂×C₄	#14581766	1	1	yes	characteristic
384	C₂×C₄	#14581766	1	1	yes	characteristic
385	C₂×C₄	#14581825	1	4	yes	—
386	C₂×C₄	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
387	C₂×C₄	C₂²×D₃₃₂	1	1	yes	characteristic
388	C₂×C₄	C₂×#13050590	1	1	yes	characteristic
389	C₈	—	2	1	no	—
390	C₈	—	2	1	no	—
391	C₈	—	2	1	no	—
392	C₈	—	4	1	no	—
393	C₈	—	4	1	no	—
394	C₈	—	332	2	no	—
395	C₈	—	332	2	no	—
396	C₈	#14581812	1	2	yes	—
397	C₂²	—	2	1	no	—
398	C₂²	—	2	1	no	—
399	C₂²	—	4	1	no	—
400	C₂²	—	4	1	no	—
401	C₂²	—	4	1	no	—
402	C₂²	#19127959	1	2	yes	—
403	C₂²	C₂×#14581766	1	1	yes	characteristic
404	C₄	—	2	1	no	—
405	C₄	—	2	1	no	—
406	C₄	—	2	1	no	—
407	C₄	—	4	1	no	—
408	C₄	—	4	1	no	—
409	C₄	—	4	1	no	—
410	C₄	—	664	2	no	—
411	C₄	—	664	2	no	—
412	C₄	#19127959	1	2	yes	—
413	C₄	C₂×#14581812	1	1	yes	characteristic
414	C₄	C₂×#14581825	1	2	yes	—
415	C₄	#19128499	1	1	yes	characteristic
416	C₂	—	2	2	no	—
417	C₂	—	8	1	no	—
418	C₂	#24916918	1	1	yes	characteristic
419	C₂	C₂×#19127959	1	1	yes	characteristic
420	C₂	#24917183	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	#14581766
commutator, cosocle	C₄²×C₈₃	C₂⁴
Frattini	C₄²	C₂³×D₈₃
Fitting	C₈₃×#2965	C₂
socle	C₂²×C₈₃	C₂×#121
prime radical	C₂×#41×C₈₃	D₄
hypercenter	#2965	D₈₃
hypocenter	C₈₃	#19158
LCS	G ▷ C₄²×C₈₃ ▷ C₂²×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #2965

Complements

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

N	H ≅ G/N	type
1. #24918049	C₂	semidirect
3. #24907045	C₂	semidirect
4. #24907038	C₂	semidirect
5. #24906991	C₂	semidirect
6. #24906986	C₂	semidirect
7. #24906957	C₂	semidirect
8. #24906952	C₂	semidirect
9. C₂×#19127452	C₂	semidirect
10. #24906118	C₂	semidirect
222. C₈₃	#19158	semidirect

Maximal subgroups

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

subgroup	index
#24918049	2
#24917251	2
#24907045	2
#24907038	2
#24906991	2
#24906986	2
#24906957	2
#24906952	2
C₂×#19127452	2
#24906118	2
C₈₃×#2965	2
#19158	83