Subgroups — #24919610

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	#19128403	C₂	1	1	yes	maximal, characteristic, complemented
2	#19128335	C₂	1	1	yes	maximal, characteristic, complemented
3	#19128064	C₂	1	1	yes	maximal, characteristic, complemented
4	#19128028	C₂	1	1	yes	maximal, characteristic, complemented
5	#19128017	C₂	1	1	yes	maximal, characteristic, complemented
6	#19128004	C₂	1	1	yes	maximal, characteristic, complemented
7	#19127953	C₂	1	1	yes	maximal, characteristic, complemented
8	#19127894	C₂	1	1	yes	maximal, characteristic, complemented
9	#19127834	C₂	1	1	yes	maximal, characteristic, complemented
10	#19127833	C₂	1	1	yes	maximal, characteristic, complemented
11	#19127810	C₂	1	1	yes	maximal, characteristic, complemented
12	#19127772	C₂	1	1	yes	maximal, characteristic, complemented
13	#19127704	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14581714	C₂	1	1	yes	maximal, characteristic, complemented
15	#466×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×D₃₃₂	C₂²	1	1	yes	characteristic
17	C₂×D₄×D₈₃	—	2	1	no	—
18	C₂×D₄×D₈₃	C₂²	1	1	yes	characteristic
19	C₂×#13050575	C₂²	1	1	yes	characteristic
20	C₂×#13050575	C₂²	1	1	yes	characteristic, complemented
21	C₂×#13050573	C₂²	1	1	yes	characteristic, complemented
22	#14581788	C₂²	1	1	yes	characteristic
23	#14581785	—	2	1	no	—
24	#14581783	C₂²	1	1	yes	characteristic, complemented
25	#14581776	—	2	1	no	—
26	#14581767	C₂²	1	1	yes	characteristic
27	#14581765	—	2	1	no	—
28	#14581764	—	2	1	no	—
29	#14581763	C₂²	1	1	yes	characteristic, complemented
30	#14581762	—	2	1	no	—
31	#14581760	—	2	1	no	—
32	D₄×Dic₈₃	—	2	1	no	—
33	D₄×Dic₈₃	C₂²	1	1	yes	characteristic, complemented
34	#14581754	C₂²	1	1	yes	characteristic
35	C₄×C₂²⋊D₈₃	C₂²	1	1	yes	characteristic
36	#14581750	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄⋊Dic₈₃	C₂²	1	1	yes	characteristic, complemented
38	#14581723	C₂²	1	1	yes	characteristic, complemented
39	#14581723	C₂²	1	1	yes	characteristic, complemented
40	Dic₈₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
41	#14581714	C₂²	1	1	yes	characteristic
42	#14581714	C₂²	1	1	yes	characteristic
43	#14581714	C₂²	1	1	yes	characteristic, complemented
44	#14581714	C₂²	1	1	yes	characteristic, complemented
45	#14581713	C₂²	1	1	yes	characteristic, complemented
46	#14581713	C₂²	1	1	yes	characteristic, complemented
47	#14581712	C₂²	1	1	yes	characteristic
48	#14581712	C₂²	1	1	yes	characteristic, complemented
49	C₂²⋊(C₈₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
50	(C₂×D₈₃)⋊C₈	C₂²	1	1	yes	characteristic, complemented
51	#14581702	C₂²	1	1	yes	characteristic, complemented
52	C₂×D₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
53	C₂²×C₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
54	#121×C₈₃	C₂²	1	1	yes	characteristic
55	#121×C₈₃	C₂²	1	1	yes	characteristic, complemented
56	#107×C₈₃	C₂²	1	1	yes	characteristic, complemented
57	#102×C₈₃	C₂²	1	1	yes	characteristic, complemented
58	#102×C₈₃	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₈₃	—	2	1	no	—
60	C₂³×D₈₃	—	2	1	no	—
61	C₂×D₃₃₂	—	2	2	no	—
62	C₂×D₃₃₂	—	2	1	no	—
63	C₂×D₃₃₂	—	2	1	no	—
64	C₂×D₃₃₂	—	4	1	no	—
65	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
66	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
67	C₂×C₂²⋊D₈₃	—	2	1	no	—
68	C₂×C₂²⋊D₈₃	—	2	1	no	—
69	C₂×C₂²⋊D₈₃	—	2	1	no	—
70	C₂×C₂²⋊D₈₃	—	2	1	no	—
71	C₂×C₂²⋊D₈₃	D₄	1	1	yes	characteristic
72	D₄×D₈₃	—	2	2	no	—
73	D₄×D₈₃	—	4	1	no	—
74	D₄×D₈₃	—	4	4	no	—
75	C₂²×Dic₈₃	—	2	1	no	—
76	C₂²×Dic₈₃	—	2	1	no	—
77	C₂×C₄×D₈₃	—	2	1	no	—
78	C₂×C₄×D₈₃	C₂³	1	1	yes	characteristic
79	#13050575	—	2	2	no	—
80	#13050575	—	4	1	no	—
81	#13050573	—	4	1	no	—
82	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
83	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
84	C₄⋊Dic₈₃	—	2	1	no	—
85	C₄⋊Dic₈₃	—	2	1	no	—
86	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
87	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
88	Dic₈₃⋊C₄	—	2	1	no	—
89	Dic₈₃⋊C₄	D₄	1	1	yes	characteristic
90	C₂²⋊Dic₈₃	—	2	1	no	—
91	C₂²⋊Dic₈₃	—	2	1	no	—
92	C₂²⋊Dic₈₃	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
97	C₄×Dic₈₃	—	2	1	no	—
98	C₄×Dic₈₃	C₂³	1	1	yes	characteristic
99	C₂×D₄×C₈₃	—	2	1	no	—
100	C₂×D₄×C₈₃	—	2	1	no	—
101	C₂×D₄×C₈₃	C₂³	1	1	yes	characteristic
102	C₂×D₄×C₈₃	C₂³	1	1	yes	characteristic
103	C₂²×C₄×C₈₃	C₂³	1	1	yes	characteristic
104	D₈×C₈₃	—	4	1	no	—
105	C₂×C₈×C₈₃	—	4	1	no	—
106	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
107	C₂×C₈×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	C₂²⋊C₄×C₈₃	—	2	1	no	—
112	C₂³×C₈₃	—	2	1	no	—
113	C₂³×C₈₃	—	2	1	no	—
114	C₂³×C₈₃	C₂×D₄	1	1	yes	characteristic
115	C₂²×D₈₃	—	2	1	no	—
116	C₂²×D₈₃	—	2	1	no	—
117	C₂²×D₈₃	—	4	2	no	—
118	C₂²×D₈₃	—	4	2	no	—
119	C₂²×D₈₃	—	4	2	no	—
120	C₂²×D₈₃	—	4	2	no	—
121	C₂²×D₈₃	—	8	1	no	—
122	C₂²×D₈₃	—	8	1	no	—
123	C₂²×D₈₃	C₂×D₄	1	1	yes	characteristic
124	D₄×C₈₃	—	2	1	no	—
125	D₄×C₈₃	—	2	1	no	—
126	D₄×C₈₃	—	2	1	no	—
127	D₄×C₈₃	—	2	1	no	—
128	D₄×C₈₃	—	4	2	no	—
129	D₄×C₈₃	—	4	2	no	—
130	C₂×C₄×C₈₃	—	2	1	no	—
131	C₂×C₄×C₈₃	—	2	1	no	—
132	C₂×C₄×C₈₃	—	2	1	no	—
133	C₂×C₄×C₈₃	—	2	1	no	—
134	C₂×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
135	C₂×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
136	C₂²⋊D₈₃	—	2	2	no	—
137	C₂²⋊D₈₃	—	4	2	no	—
138	C₂²⋊D₈₃	—	4	2	no	—
139	C₂²⋊D₈₃	—	8	1	no	—
140	C₂²⋊D₈₃	—	8	1	no	—
141	C₂×Dic₈₃	—	2	1	no	—
142	C₂×Dic₈₃	—	2	1	no	—
143	C₂×Dic₈₃	—	8	1	no	—
144	C₂×Dic₈₃	—	8	1	no	—
145	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
146	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
147	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
148	D₃₃₂	—	2	1	no	—
149	D₃₃₂	—	2	1	no	—
150	D₃₃₂	—	2	1	no	—
151	D₃₃₂	—	4	2	no	—
152	D₃₃₂	—	4	2	no	—
153	D₃₃₂	#41	1	2	yes	—
154	C₄×D₈₃	—	2	1	no	—
155	C₄×D₈₃	—	2	1	no	—
156	C₄×D₈₃	—	4	2	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	1	no	—
162	C₂²×C₈₃	—	2	1	no	—
163	C₂²×C₈₃	—	4	1	no	—
164	C₂²×C₈₃	—	4	1	no	—
165	C₂²×C₈₃	—	4	1	no	—
166	C₂²×C₈₃	—	4	1	no	—
167	C₂²×C₈₃	—	4	1	no	—
168	C₂²×C₈₃	—	4	1	no	—
169	C₂²×C₈₃	AGL(1,ℤ/8)	1	2	yes	—
170	C₂²×C₈₃	C₂²×D₄	1	1	yes	characteristic
171	C₂×D₈₃	—	2	1	no	—
172	C₂×D₈₃	—	2	2	no	—
173	C₂×D₈₃	—	2	1	no	—
174	C₂×D₈₃	—	2	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	—	4	1	no	—
180	C₂×D₈₃	—	8	4	no	—
181	C₂×D₈₃	—	8	4	no	—
182	C₄×C₈₃	—	2	1	no	—
183	C₄×C₈₃	—	4	1	no	—
184	C₄×C₈₃	—	4	1	no	—
185	C₄×C₈₃	C₂×#41	1	1	yes	characteristic
186	C₄×C₈₃	H(5,𝔽₂)	1	1	yes	characteristic
187	Dic₈₃	—	2	1	no	—
188	Dic₈₃	—	2	1	no	—
189	Dic₈₃	—	2	1	no	—
190	Dic₈₃	—	4	1	no	—
191	Dic₈₃	—	4	1	no	—
192	C₂×C₈₃	—	2	2	no	—
193	C₂×C₈₃	—	8	1	no	—
194	C₂×C₈₃	—	8	1	no	—
195	C₂×C₈₃	#546	1	1	yes	characteristic
196	C₂×C₈₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
197	C₂×C₈₃	#576	1	1	yes	characteristic
198	D₈₃	—	4	1	no	—
199	D₈₃	—	4	2	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	—	83	1	no	—
209	#469	—	83	1	no	—
210	#466	D₈₃	1	1	yes	characteristic, complemented
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	C₂×D₈₃	1	1	yes	characteristic, complemented
224	C₂×M₁₆	—	83	1	no	—
225	C₂²×C₈	C₂×D₈₃	1	1	yes	characteristic, complemented
226	#127	—	83	1	no	—
227	#126	—	166	1	no	—
228	#125	—	83	1	no	—
229	#123	—	166	1	no	—
230	#121	—	83	1	no	—
231	#121	—	83	1	no	—
232	#121	—	166	1	no	—
233	#121	—	166	1	no	—
234	#121	C₂×D₈₃	1	1	yes	characteristic
235	#121	C₂×D₈₃	1	1	yes	characteristic, complemented
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	—	83	1	no	—
241	C₄×D₄	—	166	1	no	—
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	—	83	1	no	—
247	C₄⋊C₈	—	83	1	no	—
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, complemented
257	#102	C₂×D₈₃	1	1	yes	characteristic, complemented
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	—	2	1	no	—
264	C₂×D₄	—	2	1	no	—
265	C₂×D₄	—	332	1	no	—
266	C₂×D₄	—	332	4	no	—
267	C₂×D₄	—	332	1	no	—
268	C₂×D₄	—	83	1	no	—
269	C₂×D₄	—	83	1	no	—
270	C₂×D₄	—	83	1	no	—
271	C₂×D₄	—	166	1	no	—
272	C₂×D₄	—	166	2	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	1	no	—
278	C₂×D₄	—	166	1	no	—
279	C₂×D₄	C₂²×D₈₃	1	1	yes	characteristic
280	C₂×D₄	C₂²×D₈₃	1	1	yes	characteristic
281	C₂²×C₄	—	83	1	no	—
282	C₂²×C₄	—	166	1	no	—
283	C₂²×C₄	—	166	1	no	—
284	C₂²×C₄	—	166	1	no	—
285	C₂²×C₄	C₂²×D₈₃	1	1	yes	characteristic
286	D₈	—	4	1	no	—
287	D₈	—	332	1	no	—
288	D₈	—	166	2	no	—
289	M₁₆	—	332	1	no	—
290	C₂×C₈	—	4	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	—	83	1	no	—
296	C₄⋊C₄	—	83	1	no	—
297	C₄⋊C₄	—	83	1	no	—
298	C₄⋊C₄	—	166	1	no	—
299	C₄⋊C₄	—	166	1	no	—
300	C₄⋊C₄	—	166	1	no	—
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	—	2	1	no	—
305	C₂²⋊C₄	—	83	1	no	—
306	C₂²⋊C₄	—	83	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	—	83	1	no	—
313	C₄²	—	166	1	no	—
314	C₂³	—	2	1	no	—
315	C₂³	—	2	1	no	—
316	C₂³	—	332	2	no	—
317	C₂³	—	332	2	no	—
318	C₂³	—	332	2	no	—
319	C₂³	—	332	2	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	D₄×D₈₃	1	1	yes	characteristic
326	D₄	—	2	1	no	—
327	D₄	—	2	1	no	—
328	D₄	—	2	1	no	—
329	D₄	—	2	1	no	—
330	D₄	—	4	2	no	—
331	D₄	—	4	2	no	—
332	D₄	—	332	2	no	—
333	D₄	—	332	2	no	—
334	D₄	—	332	2	no	—
335	D₄	—	332	2	no	—
336	D₄	—	83	2	no	—
337	D₄	—	664	1	no	—
338	D₄	—	664	1	no	—
339	D₄	—	166	2	no	—
340	D₄	—	166	1	no	—
341	D₄	—	166	1	no	—
342	D₄	—	166	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	332	2	no	—
348	C₂×C₄	—	83	1	no	—
349	C₂×C₄	—	83	1	no	—
350	C₂×C₄	—	83	1	no	—
351	C₂×C₄	—	664	1	no	—
352	C₂×C₄	—	664	1	no	—
353	C₂×C₄	—	166	1	no	—
354	C₂×C₄	—	166	1	no	—
355	C₂×C₄	—	166	1	no	—
356	C₂×C₄	—	166	1	no	—
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	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	4	1	no	—
366	C₂²	—	4	1	no	—
367	C₂²	—	4	1	no	—
368	C₂²	—	4	1	no	—
369	C₂²	—	4	1	no	—
370	C₂²	—	4	1	no	—
371	C₂²	—	332	1	no	—
372	C₂²	—	332	1	no	—
373	C₂²	—	332	1	no	—
374	C₂²	—	332	1	no	—
375	C₂²	—	332	1	no	—
376	C₂²	—	664	4	no	—
377	C₂²	—	664	4	no	—
378	C₂²	—	166	1	no	—
379	C₂²	—	166	2	no	—
380	C₂²	—	166	1	no	—
381	C₂²	—	166	1	no	—
382	C₂²	#14581816	1	2	yes	—
383	C₂²	C₂×D₄×D₈₃	1	1	yes	characteristic
384	C₄	—	2	1	no	—
385	C₄	—	4	1	no	—
386	C₄	—	4	1	no	—
387	C₄	—	332	1	no	—
388	C₄	—	332	1	no	—
389	C₄	—	166	1	no	—
390	C₄	—	166	1	no	—
391	C₄	—	166	1	no	—
392	C₄	#41×D₈₃	1	1	yes	characteristic
393	C₄	#14581837	1	1	yes	characteristic
394	C₂	—	2	2	no	—
395	C₂	—	8	1	no	—
396	C₂	—	8	1	no	—
397	C₂	—	332	2	no	—
398	C₂	—	332	1	no	—
399	C₂	—	664	1	no	—
400	C₂	#19128340	1	1	yes	characteristic
401	C₂	C₂×#14581816	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	#466×C₈₃	C₂
socle	C₂²×C₈₃	C₂²×D₄
hypercenter	#466	D₈₃
hypocenter	C₈₃	#3318
LCS	G ▷ C₂×C₄×C₈₃ ▷ C₂×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #466

Complements

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

N	H ≅ G/N	type
1. #19128403	C₂	semidirect
2. #19128335	C₂	semidirect
3. #19128064	C₂	semidirect
4. #19128028	C₂	semidirect
5. #19128017	C₂	semidirect
6. #19128004	C₂	semidirect
7. #19127953	C₂	semidirect
8. #19127894	C₂	semidirect
9. #19127834	C₂	semidirect
10. #19127833	C₂	semidirect
11. #19127810	C₂	semidirect
12. #19127772	C₂	semidirect
13. #19127704	C₂	semidirect
14. C₂×#14581714	C₂	semidirect
15. #466×C₈₃	C₂	semidirect
20. C₂×#13050575	C₂²	semidirect
21. C₂×#13050573	C₂²	semidirect
24. #14581783	C₂²	semidirect
29. #14581763	C₂²	semidirect
33. D₄×Dic₈₃	C₂²	semidirect
36. #14581750	C₂²	semidirect
37. C₂×C₄⋊Dic₈₃	C₂²	semidirect
38. #14581723	C₂²	semidirect
39. #14581723	C₂²	semidirect
40. Dic₈₃⋊C₈	C₂²	semidirect
43. #14581714	C₂²	semidirect
44. #14581714	C₂²	semidirect
45. #14581713	C₂²	semidirect
46. #14581713	C₂²	semidirect
48. #14581712	C₂²	semidirect
49. C₂²⋊(C₈₃⋊C₈)	C₂²	semidirect
50. (C₂×D₈₃)⋊C₈	C₂²	semidirect
51. #14581702	C₂²	semidirect
52. C₂×D₈×C₈₃	C₂²	semidirect
53. C₂²×C₈×C₈₃	C₂²	semidirect
55. #121×C₈₃	C₂²	semidirect
56. #107×C₈₃	C₂²	semidirect
57. #102×C₈₃	C₂²	semidirect
58. #102×C₈₃	C₂²	semidirect
202. C₈₃	#3318	semidirect
210. #466	D₈₃	semidirect
223. C₂×D₈	C₂×D₈₃	semidirect
225. C₂²×C₈	C₂×D₈₃	semidirect
235. #121	C₂×D₈₃	semidirect
244. #107	C₂×D₈₃	semidirect
256. #102	C₂×D₈₃	semidirect
257. #102	C₂×D₈₃	semidirect

Maximal subgroups

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

subgroup	index
#19128403	2
#19128335	2
#19128064	2
#19128028	2
#19128017	2
#19128004	2
#19127953	2
#19127894	2
#19127834	2
#19127833	2
#19127810	2
#19127772	2
#19127704	2
C₂×#14581714	2
#466×C₈₃	2
#3318	83