Subgroups — #24919601

Order 10624.

462 conjugacy classes of subgroups.

The subgroup lattice has 404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19128404	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×D₃₃₂	C₂	1	1	yes	maximal, characteristic, complemented
3	#19128067	C₂	1	1	yes	maximal, characteristic, complemented
4	#19128028	C₂	1	1	yes	maximal, characteristic, complemented
5	#19128021	C₂	1	1	yes	maximal, characteristic, complemented
6	#19127955	C₂	1	1	yes	maximal, characteristic, complemented
7	#19127938	C₂	1	1	yes	maximal, characteristic, complemented
8	#19127897	C₂	1	1	yes	maximal, characteristic, complemented
9	#19127836	C₂	1	1	yes	maximal, characteristic, complemented
10	#19127836	C₂	1	1	yes	maximal, characteristic, complemented
11	#19127811	C₂	1	1	yes	maximal, characteristic, complemented
12	#19127771	C₂	1	1	yes	maximal, characteristic, complemented
13	#19127704	C₂	1	1	yes	maximal, characteristic, complemented
14	#102×D₈₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#478×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×D₃₃₂	—	2	1	no	—
17	C₂×D₄×D₈₃	C₂²	1	1	yes	characteristic
18	C₂×D₄×D₈₃	C₂²	1	1	yes	characteristic
19	C₂×D₆₆₄	C₂²	1	1	yes	characteristic, complemented
20	C₂×D₆₆₄	C₂²	1	1	yes	characteristic, complemented
21	C₂×#13050575	C₂²	1	1	yes	characteristic
22	C₂×#13050573	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₈×D₈₃	C₂²	1	1	yes	characteristic, complemented
24	#14581789	C₂²	1	1	yes	characteristic
25	#14581787	—	2	1	no	—
26	#14581777	—	2	1	no	—
27	#14581767	—	2	1	no	—
28	#14581767	C₂²	1	1	yes	characteristic
29	#14581767	C₂²	1	1	yes	characteristic
30	#14581767	C₂²	1	1	yes	characteristic, complemented
31	#14581767	C₂²	1	1	yes	characteristic, complemented
32	#14581766	—	2	1	no	—
33	#14581762	—	2	1	no	—
34	#14581762	—	2	1	no	—
35	C₄×D₃₃₂	C₂²	1	1	yes	characteristic
36	C₄×D₃₃₂	C₂²	1	1	yes	characteristic, complemented
37	#14581754	—	2	1	no	—
38	#14581750	C₂²	1	1	yes	characteristic, complemented
39	C₄⋊C₄×D₈₃	C₂²	1	1	yes	characteristic, complemented
40	#14581723	C₂²	1	1	yes	characteristic, complemented
41	#14581714	C₂²	1	1	yes	characteristic, complemented
42	#14581714	C₂²	1	1	yes	characteristic, complemented
43	#14581713	C₂²	1	1	yes	characteristic
44	#14581712	C₂²	1	1	yes	characteristic, complemented
45	#14581712	C₂²	1	1	yes	characteristic, complemented
46	#14581712	C₂²	1	1	yes	characteristic, complemented
47	#14581712	C₂²	1	1	yes	characteristic, complemented
48	#14581712	C₂²	1	1	yes	characteristic, complemented
49	(C₂×D₈₃)⋊C₈	C₂²	1	1	yes	characteristic, complemented
50	(C₂×D₈₃)⋊C₈	C₂²	1	1	yes	characteristic, complemented
51	#14581703	C₂²	1	1	yes	characteristic, complemented
52	#125×C₈₃	C₂²	1	1	yes	characteristic, complemented
53	C₄×D₄×C₈₃	C₂²	1	1	yes	characteristic
54	#107×C₈₃	C₂²	1	1	yes	characteristic, complemented
55	#106×C₈₃	C₂²	1	1	yes	characteristic, complemented
56	C₄⋊C₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
57	#102×C₈₃	C₂²	1	1	yes	characteristic
58	#102×C₈₃	C₂²	1	1	yes	characteristic
59	C₂³×D₈₃	—	2	1	no	—
60	C₂³×D₈₃	—	2	1	no	—
61	C₂×D₃₃₂	—	2	1	no	—
62	C₂×D₃₃₂	—	2	1	no	—
63	C₂×D₃₃₂	—	2	1	no	—
64	C₂×D₃₃₂	—	2	1	no	—
65	C₂×D₃₃₂	—	2	1	no	—
66	C₂×D₃₃₂	—	2	1	no	—
67	C₂×D₃₃₂	—	4	4	no	—
68	C₂×D₃₃₂	D₄	1	1	yes	characteristic
69	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
70	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
71	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
72	C₂×C₂²⋊D₈₃	—	2	1	no	—
73	C₂×C₂²⋊D₈₃	—	2	1	no	—
74	D₄×D₈₃	—	2	2	no	—
75	D₄×D₈₃	—	2	2	no	—
76	D₄×D₈₃	—	4	1	no	—
77	D₄×D₈₃	—	4	1	no	—
78	C₂×C₄×D₈₃	—	2	1	no	—
79	C₂×C₄×D₈₃	—	2	1	no	—
80	C₂×C₄×D₈₃	C₂³	1	1	yes	characteristic
81	C₂×C₄×D₈₃	C₂³	1	1	yes	characteristic
82	D₆₆₄	—	4	1	no	—
83	D₆₆₄	—	4	1	no	—
84	#13050575	—	2	2	no	—
85	#13050573	—	4	1	no	—
86	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
87	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
88	C₈×D₈₃	—	4	1	no	—
89	C₄⋊Dic₈₃	D₄	1	1	yes	characteristic
90	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
91	Dic₈₃⋊C₄	—	2	1	no	—
92	(C₂×D₈₃)⋊C₄	—	2	1	no	—
93	(C₂×D₈₃)⋊C₄	—	2	1	no	—
94	(C₂×D₈₃)⋊C₄	—	2	1	no	—
95	(C₂×D₈₃)⋊C₄	—	2	1	no	—
96	(C₂×D₈₃)⋊C₄	—	2	1	no	—
97	(C₂×D₈₃)⋊C₄	—	2	1	no	—
98	(C₂×D₈₃)⋊C₄	D₄	1	1	yes	characteristic
99	(C₂×D₈₃)⋊C₄	D₄	1	1	yes	characteristic
100	C₄×Dic₈₃	—	2	1	no	—
101	C₂×D₄×C₈₃	C₂³	1	1	yes	characteristic
102	C₂²×C₄×C₈₃	—	2	1	no	—
103	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
104	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
105	C₄⋊C₄×C₈₃	—	2	1	no	—
106	C₄⋊C₄×C₈₃	—	2	1	no	—
107	C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
108	C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
109	C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
110	C₂²⋊C₄×C₈₃	—	2	1	no	—
111	C₄²×C₈₃	C₂³	1	1	yes	characteristic
112	C₂³×C₈₃	—	2	1	no	—
113	C₂²×D₈₃	—	2	1	no	—
114	C₂²×D₈₃	—	2	1	no	—
115	C₂²×D₈₃	—	2	1	no	—
116	C₂²×D₈₃	—	4	2	no	—
117	C₂²×D₈₃	—	4	2	no	—
118	C₂²×D₈₃	—	4	2	no	—
119	C₂²×D₈₃	—	4	2	no	—
120	C₂²×D₈₃	—	8	1	no	—
121	C₂²×D₈₃	—	8	1	no	—
122	C₂²×D₈₃	C₂×D₄	1	1	yes	characteristic
123	C₂²×D₈₃	C₂×D₄	1	1	yes	characteristic
124	D₄×C₈₃	—	2	1	no	—
125	D₄×C₈₃	#41	1	2	yes	—
126	C₂×C₄×C₈₃	—	2	1	no	—
127	C₂×C₄×C₈₃	—	2	1	no	—
128	C₂×C₄×C₈₃	—	2	1	no	—
129	C₂×C₄×C₈₃	—	4	2	no	—
130	C₂×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
132	C₂×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
133	C₂²⋊D₈₃	—	4	2	no	—
134	C₂²⋊D₈₃	—	4	2	no	—
135	C₂×Dic₈₃	—	2	1	no	—
136	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
137	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
138	D₃₃₂	—	2	2	no	—
139	D₃₃₂	—	2	1	no	—
140	D₃₃₂	—	2	1	no	—
141	D₃₃₂	—	2	1	no	—
142	D₃₃₂	—	2	1	no	—
143	D₃₃₂	—	2	1	no	—
144	D₃₃₂	—	2	1	no	—
145	D₃₃₂	—	4	2	no	—
146	D₃₃₂	—	4	2	no	—
147	D₃₃₂	—	4	2	no	—
148	D₃₃₂	—	4	2	no	—
149	D₃₃₂	—	8	1	no	—
150	D₃₃₂	—	8	1	no	—
151	C₄×D₈₃	—	2	1	no	—
152	C₄×D₈₃	—	2	1	no	—
153	C₄×D₈₃	—	2	1	no	—
154	C₄×D₈₃	—	2	1	no	—
155	C₄×D₈₃	—	8	1	no	—
156	C₄×D₈₃	—	8	1	no	—
157	C₈×C₈₃	—	2	1	no	—
158	C₈×C₈₃	—	2	1	no	—
159	C₈₃⋊C₈	—	2	1	no	—
160	C₈₃⋊C₈	—	2	1	no	—
161	C₂²×C₈₃	—	2	2	no	—
162	C₂²×C₈₃	—	4	1	no	—
163	C₂²×C₈₃	—	4	1	no	—
164	C₂²×C₈₃	C₂²×D₄	1	1	yes	characteristic
165	C₂×D₈₃	—	2	1	no	—
166	C₂×D₈₃	—	2	1	no	—
167	C₂×D₈₃	—	2	1	no	—
168	C₂×D₈₃	—	2	1	no	—
169	C₂×D₈₃	—	2	1	no	—
170	C₂×D₈₃	—	4	1	no	—
171	C₂×D₈₃	—	4	1	no	—
172	C₂×D₈₃	—	4	1	no	—
173	C₂×D₈₃	—	4	1	no	—
174	C₂×D₈₃	—	4	1	no	—
175	C₂×D₈₃	—	4	1	no	—
176	C₂×D₈₃	—	4	1	no	—
177	C₂×D₈₃	—	4	1	no	—
178	C₂×D₈₃	—	4	1	no	—
179	C₂×D₈₃	—	8	4	no	—
180	C₂×D₈₃	—	8	4	no	—
181	C₂×D₈₃	AGL(1,ℤ/8)	1	2	yes	—
182	C₄×C₈₃	—	2	1	no	—
183	C₄×C₈₃	—	2	1	no	—
184	C₄×C₈₃	—	4	1	no	—
185	C₄×C₈₃	—	4	1	no	—
186	C₄×C₈₃	—	4	1	no	—
187	C₄×C₈₃	C₂×#41	1	1	yes	characteristic
188	C₄×C₈₃	H(5,𝔽₂)	1	1	yes	characteristic
189	Dic₈₃	—	2	1	no	—
190	Dic₈₃	—	2	1	no	—
191	Dic₈₃	—	4	1	no	—
192	C₂×C₈₃	—	4	2	no	—
193	C₂×C₈₃	#546	1	1	yes	characteristic
194	C₂×C₈₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
195	C₂×C₈₃	#576	1	1	yes	characteristic
196	D₈₃	—	2	2	no	—
197	D₈₃	—	4	1	no	—
198	D₈₃	—	8	1	no	—
199	D₈₃	—	8	1	no	—
200	D₈₃	—	8	1	no	—
201	#3318	—	83	1	no	maximal, Sylow
202	C₈₃	#3318	1	1	yes	characteristic, complemented, Sylow
203	#553	—	83	1	no	—
204	D₄²	—	83	1	no	—
205	#490	—	83	1	no	—
206	#482	—	83	1	no	—
207	#481	—	83	1	no	—
208	#478	D₈₃	1	1	yes	characteristic, complemented
209	#469	—	83	1	no	—
210	#466	—	83	1	no	—
211	#459	—	83	1	no	—
212	#447	—	83	1	no	—
213	#447	—	83	1	no	—
214	#442	—	83	1	no	—
215	#435	—	83	1	no	—
216	#418	—	83	1	no	—
217	C₂×#102	—	83	1	no	—
218	C₂²×D₄	—	83	1	no	—
219	C₂²×D₄	—	83	1	no	—
220	C₂²×D₄	—	166	1	no	—
221	C₂×D₈	—	83	1	no	—
222	C₂×D₈	—	83	1	no	—
223	C₂×D₈	—	83	1	no	—
224	C₂×M₁₆	—	83	1	no	—
225	C₂²×C₈	—	83	1	no	—
226	#127	—	83	1	no	—
227	#126	—	166	1	no	—
228	#125	C₂×D₈₃	1	1	yes	characteristic, complemented
229	#123	—	166	1	no	—
230	#121	—	83	1	no	—
231	#121	—	83	1	no	—
232	#121	—	83	1	no	—
233	#121	—	83	1	no	—
234	#121	—	166	1	no	—
235	#121	—	166	1	no	—
236	#120	—	166	1	no	—
237	#120	—	166	1	no	—
238	C₄×D₄	—	83	1	no	—
239	C₄×D₄	—	83	1	no	—
240	C₄×D₄	—	166	1	no	—
241	C₄×D₄	C₂×D₈₃	1	1	yes	characteristic
242	#117	—	83	1	no	—
243	C₂×C₄⋊C₄	—	83	1	no	—
244	#107	C₂×D₈₃	1	1	yes	characteristic, complemented
245	#106	—	83	1	no	—
246	#106	C₂×D₈₃	1	1	yes	characteristic, complemented
247	C₄⋊C₈	C₂×D₈₃	1	1	yes	characteristic, complemented
248	#102	—	83	1	no	—
249	#102	—	83	1	no	—
250	#102	—	83	1	no	—
251	#102	—	83	1	no	—
252	#102	—	83	1	no	—
253	#102	—	83	1	no	—
254	#102	—	83	1	no	—
255	#102	—	83	1	no	—
256	#102	C₂×D₈₃	1	1	yes	characteristic
257	#102	C₂×D₈₃	1	1	yes	characteristic
258	C₂²⋊C₈	—	83	1	no	—
259	C₂²⋊C₈	—	83	1	no	—
260	#97	—	83	1	no	—
261	C₂⁴	—	166	1	no	—
262	C₂⁴	—	166	1	no	—
263	C₂×D₄	—	332	4	no	—
264	C₂×D₄	—	332	1	no	—
265	C₂×D₄	—	332	1	no	—
266	C₂×D₄	—	83	1	no	—
267	C₂×D₄	—	83	1	no	—
268	C₂×D₄	—	83	1	no	—
269	C₂×D₄	—	83	1	no	—
270	C₂×D₄	—	166	1	no	—
271	C₂×D₄	—	166	1	no	—
272	C₂×D₄	—	166	1	no	—
273	C₂×D₄	—	166	1	no	—
274	C₂×D₄	—	166	1	no	—
275	C₂×D₄	—	166	1	no	—
276	C₂×D₄	—	166	2	no	—
277	C₂×D₄	—	166	2	no	—
278	C₂×D₄	—	166	1	no	—
279	C₂×D₄	—	166	1	no	—
280	C₂×D₄	C₂²×D₈₃	1	1	yes	characteristic
281	C₂²×C₄	—	2	1	no	—
282	C₂²×C₄	—	83	1	no	—
283	C₂²×C₄	—	83	1	no	—
284	C₂²×C₄	—	166	1	no	—
285	C₂²×C₄	—	166	1	no	—
286	D₈	—	332	1	no	—
287	D₈	—	332	1	no	—
288	D₈	—	166	2	no	—
289	M₁₆	—	332	1	no	—
290	C₂×C₈	—	332	1	no	—
291	C₂×C₈	—	83	1	no	—
292	C₂×C₈	—	83	1	no	—
293	C₂×C₈	C₂²×D₈₃	1	1	yes	characteristic
294	C₂×C₈	C₂²×D₈₃	1	1	yes	characteristic
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	2	1	no	—
297	C₄⋊C₄	—	83	1	no	—
298	C₄⋊C₄	—	83	1	no	—
299	C₄⋊C₄	—	166	1	no	—
300	C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
301	C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
302	C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
303	C₂²⋊C₄	—	2	1	no	—
304	C₂²⋊C₄	—	83	1	no	—
305	C₂²⋊C₄	—	83	1	no	—
306	C₂²⋊C₄	—	166	1	no	—
307	C₂²⋊C₄	—	166	1	no	—
308	C₂²⋊C₄	—	166	1	no	—
309	C₂²⋊C₄	—	166	1	no	—
310	C₂²⋊C₄	—	166	1	no	—
311	C₂²⋊C₄	—	166	1	no	—
312	C₄²	—	166	1	no	—
313	C₄²	C₂²×D₈₃	1	1	yes	characteristic
314	C₂³	—	2	1	no	—
315	C₂³	—	332	2	no	—
316	C₂³	—	332	2	no	—
317	C₂³	—	332	2	no	—
318	C₂³	—	332	2	no	—
319	C₂³	—	83	1	no	—
320	C₂³	—	83	1	no	—
321	C₂³	—	664	1	no	—
322	C₂³	—	664	1	no	—
323	C₂³	—	166	1	no	—
324	C₂³	—	166	1	no	—
325	C₂³	—	166	1	no	—
326	D₄	—	2	1	no	—
327	D₄	—	332	2	no	—
328	D₄	—	332	2	no	—
329	D₄	—	332	2	no	—
330	D₄	—	332	2	no	—
331	D₄	—	332	2	no	—
332	D₄	—	332	2	no	—
333	D₄	—	664	1	no	—
334	D₄	—	664	1	no	—
335	D₄	—	166	2	no	—
336	D₄	—	166	1	no	—
337	D₄	—	166	1	no	—
338	D₄	—	166	1	no	—
339	D₄	—	166	1	no	—
340	D₄	—	166	1	no	—
341	D₄	—	166	1	no	—
342	D₄	#13050591	1	2	yes	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	83	1	no	—
348	C₂×C₄	—	83	1	no	—
349	C₂×C₄	—	664	1	no	—
350	C₂×C₄	—	664	1	no	—
351	C₂×C₄	—	166	1	no	—
352	C₂×C₄	—	166	1	no	—
353	C₂×C₄	—	166	1	no	—
354	C₂×C₄	—	166	1	no	—
355	C₂×C₄	—	166	1	no	—
356	C₂×C₄	D₄×D₈₃	1	1	yes	characteristic
357	C₂×C₄	D₄×D₈₃	1	1	yes	characteristic
358	C₂×C₄	C₂³×D₈₃	1	1	yes	characteristic
359	C₈	—	2	1	no	—
360	C₈	—	2	1	no	—
361	C₈	—	166	1	no	—
362	C₈	—	166	1	no	—
363	C₂²	—	2	2	no	—
364	C₂²	—	4	1	no	—
365	C₂²	—	4	1	no	—
366	C₂²	—	332	1	no	—
367	C₂²	—	332	1	no	—
368	C₂²	—	332	1	no	—
369	C₂²	—	332	1	no	—
370	C₂²	—	332	1	no	—
371	C₂²	—	332	1	no	—
372	C₂²	—	332	1	no	—
373	C₂²	—	332	1	no	—
374	C₂²	—	332	1	no	—
375	C₂²	—	83	2	no	—
376	C₂²	—	664	4	no	—
377	C₂²	—	664	4	no	—
378	C₂²	—	166	1	no	—
379	C₂²	—	166	1	no	—
380	C₂²	—	166	1	no	—
381	C₂²	—	166	1	no	—
382	C₂²	—	166	1	no	—
383	C₂²	C₂×D₄×D₈₃	1	1	yes	characteristic
384	C₄	—	2	1	no	—
385	C₄	—	2	1	no	—
386	C₄	—	4	1	no	—
387	C₄	—	4	1	no	—
388	C₄	—	4	1	no	—
389	C₄	—	332	1	no	—
390	C₄	—	166	1	no	—
391	C₄	—	166	1	no	—
392	C₄	C₂×#13050591	1	1	yes	characteristic
393	C₄	#14581838	1	1	yes	characteristic
394	C₂	—	4	2	no	—
395	C₂	—	332	1	no	—
396	C₂	—	664	1	no	—
397	C₂	—	664	1	no	—
398	C₂	—	664	1	no	—
399	C₂	—	166	2	no	—
400	C₂	#19128342	1	1	yes	characteristic
401	C₂	AGL(1,ℤ/8)×D₈₃	1	1	yes	characteristic
402	C₂	#19128503	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₈₃
commutator, cosocle	C₂×C₄×C₈₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₈₃
Fitting	#478×C₈₃	C₂
socle	C₂²×C₈₃	C₂²×D₄
hypercenter	#478	D₈₃
hypocenter	C₈₃	#3318
LCS	G ▷ C₂×C₄×C₈₃ ▷ C₂×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #478

Complements

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

N	H ≅ G/N	type
1. #19128404	C₂	semidirect
2. D₄×D₃₃₂	C₂	semidirect
3. #19128067	C₂	semidirect
4. #19128028	C₂	semidirect
5. #19128021	C₂	semidirect
6. #19127955	C₂	semidirect
7. #19127938	C₂	semidirect
8. #19127897	C₂	semidirect
9. #19127836	C₂	semidirect
10. #19127836	C₂	semidirect
11. #19127811	C₂	semidirect
12. #19127771	C₂	semidirect
13. #19127704	C₂	semidirect
14. #102×D₈₃	C₂	semidirect
15. #478×C₈₃	C₂	semidirect
19. C₂×D₆₆₄	C₂²	semidirect
20. C₂×D₆₆₄	C₂²	semidirect
22. C₂×#13050573	C₂²	semidirect
23. C₂×C₈×D₈₃	C₂²	semidirect
30. #14581767	C₂²	semidirect
31. #14581767	C₂²	semidirect
36. C₄×D₃₃₂	C₂²	semidirect
38. #14581750	C₂²	semidirect
39. C₄⋊C₄×D₈₃	C₂²	semidirect
40. #14581723	C₂²	semidirect
41. #14581714	C₂²	semidirect
42. #14581714	C₂²	semidirect
44. #14581712	C₂²	semidirect
45. #14581712	C₂²	semidirect
46. #14581712	C₂²	semidirect
47. #14581712	C₂²	semidirect
48. #14581712	C₂²	semidirect
49. (C₂×D₈₃)⋊C₈	C₂²	semidirect
50. (C₂×D₈₃)⋊C₈	C₂²	semidirect
51. #14581703	C₂²	semidirect
52. #125×C₈₃	C₂²	semidirect
54. #107×C₈₃	C₂²	semidirect
55. #106×C₈₃	C₂²	semidirect
56. C₄⋊C₈×C₈₃	C₂²	semidirect
202. C₈₃	#3318	semidirect
208. #478	D₈₃	semidirect
228. #125	C₂×D₈₃	semidirect
244. #107	C₂×D₈₃	semidirect
246. #106	C₂×D₈₃	semidirect
247. C₄⋊C₈	C₂×D₈₃	semidirect

Maximal subgroups

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

subgroup	index
#19128404	2
D₄×D₃₃₂	2
#19128067	2
#19128028	2
#19128021	2
#19127955	2
#19127938	2
#19127897	2
#19127836	2
#19127811	2
#19127771	2
#19127704	2
#102×D₈₃	2
#478×C₈₃	2
#3318	83