Subgroups — #24919489

Order 10624.

450 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19128392	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×D₃₃₂	C₂	1	1	yes	maximal, characteristic
3	#19128066	C₂	1	1	yes	maximal, characteristic, complemented
4	#19128028	C₂	1	1	yes	maximal, characteristic, complemented
5	#19128016	C₂	1	1	yes	maximal, characteristic, complemented
6	#19128001	C₂	1	1	yes	maximal, characteristic, complemented
7	#19127950	C₂	1	1	yes	maximal, characteristic, complemented
8	#19127933	C₂	1	1	yes	maximal, characteristic, complemented
9	#19127901	C₂	1	1	yes	maximal, characteristic, complemented
10	#19127850	C₂	1	1	yes	maximal, characteristic, complemented
11	#19127850	C₂	1	1	yes	maximal, characteristic, complemented
12	#19127774	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	#440×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×#13050577	C₂²	1	1	yes	characteristic, complemented
20	C₂×#13050577	C₂²	1	1	yes	characteristic, complemented
21	C₂×#13050573	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₈×D₈₃	C₂²	1	1	yes	characteristic, complemented
23	#14581789	C₂²	1	1	yes	characteristic
24	#14581786	—	2	1	no	—
25	#14581784	C₂²	1	1	yes	characteristic, complemented
26	#14581782	—	2	1	no	—
27	#14581777	—	2	1	no	—
28	#14581768	C₂²	1	1	yes	characteristic, complemented
29	#14581768	C₂²	1	1	yes	characteristic, complemented
30	#14581767	C₂²	1	1	yes	characteristic
31	#14581767	C₂²	1	1	yes	characteristic
32	#14581766	—	2	1	no	—
33	#14581762	—	2	1	no	—
34	#14581762	—	2	1	no	—
35	C₄×D₃₃₂	C₂²	1	1	yes	characteristic
36	#14581750	C₂²	1	1	yes	characteristic, complemented
37	#14581749	—	2	1	no	—
38	C₄⋊C₄×D₈₃	C₂²	1	1	yes	characteristic, complemented
39	#14581725	C₂²	1	1	yes	characteristic, complemented
40	#14581723	C₂²	1	1	yes	characteristic, complemented
41	C₄⋊(C₈₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
42	#14581714	C₂²	1	1	yes	characteristic, complemented
43	#14581714	C₂²	1	1	yes	characteristic, complemented
44	#14581714	C₂²	1	1	yes	characteristic, complemented
45	#14581714	C₂²	1	1	yes	characteristic, complemented
46	#14581713	C₂²	1	1	yes	characteristic
47	#14581713	C₂²	1	1	yes	characteristic
48	#14581712	C₂²	1	1	yes	characteristic, complemented
49	#14581712	C₂²	1	1	yes	characteristic, complemented
50	(C₂×D₈₃)⋊C₈	C₂²	1	1	yes	characteristic, complemented
51	(C₂×D₈₃)⋊C₈	C₂²	1	1	yes	characteristic, complemented
52	C₂×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
53	C₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
54	C₄×D₄×C₈₃	C₂²	1	1	yes	characteristic
55	#107×C₈₃	C₂²	1	1	yes	characteristic, complemented
56	#103×C₈₃	C₂²	1	1	yes	characteristic, complemented
57	#102×C₈₃	C₂²	1	1	yes	characteristic
58	#97×C₈₃	C₂²	1	1	yes	characteristic, complemented
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	—	4	4	no	—
66	C₂×D₃₃₂	D₄	1	1	yes	characteristic
67	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
68	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
69	C₂×C₂²⋊D₈₃	—	2	1	no	—
70	C₂×C₂²⋊D₈₃	—	2	1	no	—
71	D₄×D₈₃	—	2	2	no	—
72	D₄×D₈₃	—	2	2	no	—
73	D₄×D₈₃	—	4	1	no	—
74	D₄×D₈₃	—	4	1	no	—
75	C₂×C₄×D₈₃	—	2	1	no	—
76	C₂×C₄×D₈₃	C₂³	1	1	yes	characteristic
77	C₂×C₄×D₈₃	C₂³	1	1	yes	characteristic
78	#13050577	—	4	1	no	—
79	#13050577	—	4	1	no	—
80	#13050573	—	4	1	no	—
81	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
82	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
83	C₈×D₈₃	—	4	1	no	—
84	C₄⋊Dic₈₃	D₄	1	1	yes	characteristic
85	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
86	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
87	Dic₈₃⋊C₄	—	2	1	no	—
88	Dic₈₃⋊C₄	—	2	1	no	—
89	Dic₈₃⋊C₄	—	2	1	no	—
90	Dic₈₃⋊C₄	—	2	1	no	—
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	D₄	1	1	yes	characteristic
98	(C₂×D₈₃)⋊C₄	D₄	1	1	yes	characteristic
99	C₄×Dic₈₃	—	2	1	no	—
100	C₂×Q₈×C₈₃	C₂³	1	1	yes	characteristic
101	C₂×D₄×C₈₃	C₂³	1	1	yes	characteristic
102	C₂²×C₄×C₈₃	—	2	1	no	—
103	SD₁₆×C₈₃	—	2	2	no	—
104	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
105	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
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	C₂²⋊C₄×C₈₃	—	2	1	no	—
110	C₄²×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	—	4	2	no	—
116	C₂²×D₈₃	—	4	2	no	—
117	C₂²×D₈₃	—	4	2	no	—
118	C₂²×D₈₃	—	4	2	no	—
119	C₂²×D₈₃	—	8	1	no	—
120	C₂²×D₈₃	—	8	1	no	—
121	C₂²×D₈₃	C₂×D₄	1	1	yes	characteristic
122	C₂²×D₈₃	C₂×D₄	1	1	yes	characteristic
123	Q₈×C₈₃	—	2	1	no	—
124	Q₈×C₈₃	—	2	1	no	—
125	D₄×C₈₃	—	2	1	no	—
126	D₄×C₈₃	#41	1	2	yes	—
127	C₂×C₄×C₈₃	—	2	1	no	—
128	C₂×C₄×C₈₃	—	2	1	no	—
129	C₂×C₄×C₈₃	—	2	1	no	—
130	C₂×C₄×C₈₃	—	4	2	no	—
131	C₂×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
132	C₂×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
133	C₂×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
134	C₂²⋊D₈₃	—	4	2	no	—
135	C₂²⋊D₈₃	—	4	2	no	—
136	C₂×Dic₈₃	—	2	1	no	—
137	C₂×Dic₈₃	—	2	1	no	—
138	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
139	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
140	D₃₃₂	—	2	2	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	—	8	1	no	—
149	C₄×D₈₃	—	2	1	no	—
150	C₄×D₈₃	—	2	1	no	—
151	C₄×D₈₃	—	2	1	no	—
152	C₄×D₈₃	—	2	1	no	—
153	C₄×D₈₃	—	4	2	no	—
154	C₈×C₈₃	—	2	1	no	—
155	C₈×C₈₃	—	2	1	no	—
156	C₈₃⋊C₈	—	2	1	no	—
157	C₈₃⋊C₈	—	2	1	no	—
158	C₂²×C₈₃	—	2	2	no	—
159	C₂²×C₈₃	—	4	1	no	—
160	C₂²×C₈₃	—	4	1	no	—
161	C₂²×C₈₃	C₂²×D₄	1	1	yes	characteristic
162	C₂×D₈₃	—	2	1	no	—
163	C₂×D₈₃	—	2	1	no	—
164	C₂×D₈₃	—	2	1	no	—
165	C₂×D₈₃	—	2	1	no	—
166	C₂×D₈₃	—	2	1	no	—
167	C₂×D₈₃	—	4	1	no	—
168	C₂×D₈₃	—	4	1	no	—
169	C₂×D₈₃	—	4	1	no	—
170	C₂×D₈₃	—	4	1	no	—
171	C₂×D₈₃	—	4	1	no	—
172	C₂×D₈₃	—	4	1	no	—
173	C₂×D₈₃	—	8	4	no	—
174	C₂×D₈₃	—	8	4	no	—
175	C₂×D₈₃	AGL(1,ℤ/8)	1	2	yes	—
176	C₄×C₈₃	—	2	1	no	—
177	C₄×C₈₃	—	2	1	no	—
178	C₄×C₈₃	—	4	1	no	—
179	C₄×C₈₃	—	4	1	no	—
180	C₄×C₈₃	—	4	1	no	—
181	C₄×C₈₃	C₂×#41	1	1	yes	characteristic
182	C₄×C₈₃	H(5,𝔽₂)	1	1	yes	characteristic
183	Dic₈₃	—	2	1	no	—
184	Dic₈₃	—	2	1	no	—
185	Dic₈₃	—	4	1	no	—
186	Dic₈₃	—	4	1	no	—
187	C₂×C₈₃	—	4	2	no	—
188	C₂×C₈₃	#546	1	1	yes	characteristic
189	C₂×C₈₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
190	C₂×C₈₃	#577	1	1	yes	characteristic
191	D₈₃	—	2	2	no	—
192	D₈₃	—	4	1	no	—
193	D₈₃	—	8	1	no	—
194	D₈₃	—	8	1	no	—
195	#3310	—	83	1	no	maximal, Sylow
196	C₈₃	#3310	1	1	yes	characteristic, complemented, Sylow
197	#552	—	83	1	no	—
198	D₄²	—	83	1	no	—
199	#490	—	83	1	no	—
200	#482	—	83	1	no	—
201	#480	—	83	1	no	—
202	#478	—	83	1	no	—
203	#468	—	83	1	no	—
204	#465	—	83	1	no	—
205	#460	—	83	1	no	—
206	#450	—	83	1	no	—
207	#450	—	83	1	no	—
208	#440	D₈₃	1	1	yes	characteristic, complemented
209	#435	—	83	1	no	—
210	#418	—	83	1	no	—
211	C₂×#102	—	83	1	no	—
212	C₂²×D₄	—	83	1	no	—
213	C₂²×D₄	—	83	1	no	—
214	C₂²×D₄	—	166	1	no	—
215	C₂×SD₁₆	—	83	1	no	—
216	C₂×SD₁₆	—	83	1	no	—
217	C₂×SD₁₆	C₂×D₈₃	1	1	yes	characteristic
218	C₂×M₁₆	—	83	1	no	—
219	C₂²×C₈	—	83	1	no	—
220	#127	—	83	1	no	—
221	#126	—	166	1	no	—
222	#125	—	83	1	no	—
223	#125	—	166	1	no	—
224	#123	—	166	1	no	—
225	C₂²⋊Q₈	—	83	1	no	—
226	C₂²⋊Q₈	—	83	1	no	—
227	#121	—	83	1	no	—
228	#121	—	83	1	no	—
229	#121	—	166	1	no	—
230	#120	—	166	1	no	—
231	#120	—	166	1	no	—
232	C₄×Q₈	C₂×D₈₃	1	1	yes	characteristic, complemented
233	C₄×D₄	—	83	1	no	—
234	C₄×D₄	C₂×D₈₃	1	1	yes	characteristic
235	#117	—	83	1	no	—
236	#117	—	166	1	no	—
237	C₂×C₄⋊C₄	—	83	1	no	—
238	#107	—	83	1	no	—
239	#107	C₂×D₈₃	1	1	yes	characteristic, complemented
240	#106	—	83	1	no	—
241	C₄⋊C₈	—	83	1	no	—
242	#103	C₂×D₈₃	1	1	yes	characteristic, complemented
243	#102	—	83	1	no	—
244	#102	—	83	1	no	—
245	#102	—	83	1	no	—
246	#102	—	83	1	no	—
247	#102	—	83	1	no	—
248	#102	—	83	1	no	—
249	#102	—	83	1	no	—
250	#102	—	83	1	no	—
251	#102	C₂×D₈₃	1	1	yes	characteristic
252	C₂²⋊C₈	—	83	1	no	—
253	C₂²⋊C₈	—	83	1	no	—
254	#97	C₂×D₈₃	1	1	yes	characteristic, complemented
255	C₂⁴	—	166	1	no	—
256	C₂⁴	—	166	1	no	—
257	C₂×Q₈	C₂²×D₈₃	1	1	yes	characteristic
258	C₂×D₄	—	332	4	no	—
259	C₂×D₄	—	332	1	no	—
260	C₂×D₄	—	332	1	no	—
261	C₂×D₄	—	83	1	no	—
262	C₂×D₄	—	83	1	no	—
263	C₂×D₄	—	83	1	no	—
264	C₂×D₄	—	166	1	no	—
265	C₂×D₄	—	166	1	no	—
266	C₂×D₄	—	166	1	no	—
267	C₂×D₄	—	166	1	no	—
268	C₂×D₄	—	166	2	no	—
269	C₂×D₄	—	166	2	no	—
270	C₂×D₄	—	166	1	no	—
271	C₂×D₄	—	166	1	no	—
272	C₂×D₄	C₂²×D₈₃	1	1	yes	characteristic
273	C₂²×C₄	—	2	1	no	—
274	C₂²×C₄	—	83	1	no	—
275	C₂²×C₄	—	83	1	no	—
276	C₂²×C₄	—	166	1	no	—
277	SD₁₆	—	2	2	no	—
278	SD₁₆	—	332	1	no	—
279	SD₁₆	—	332	1	no	—
280	M₁₆	—	332	1	no	—
281	C₂×C₈	—	332	1	no	—
282	C₂×C₈	—	83	1	no	—
283	C₂×C₈	—	83	1	no	—
284	C₂×C₈	C₂²×D₈₃	1	1	yes	characteristic
285	C₂×C₈	C₂²×D₈₃	1	1	yes	characteristic
286	C₄⋊C₄	—	2	1	no	—
287	C₄⋊C₄	—	83	1	no	—
288	C₄⋊C₄	—	83	1	no	—
289	C₄⋊C₄	—	83	1	no	—
290	C₄⋊C₄	—	166	1	no	—
291	C₄⋊C₄	—	166	1	no	—
292	C₄⋊C₄	—	166	1	no	—
293	C₄⋊C₄	—	166	1	no	—
294	C₄⋊C₄	—	166	1	no	—
295	C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
296	C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
297	C₂²⋊C₄	—	2	1	no	—
298	C₂²⋊C₄	—	83	1	no	—
299	C₂²⋊C₄	—	83	1	no	—
300	C₂²⋊C₄	—	166	1	no	—
301	C₂²⋊C₄	—	166	1	no	—
302	C₂²⋊C₄	—	166	1	no	—
303	C₂²⋊C₄	—	166	1	no	—
304	C₂²⋊C₄	—	166	1	no	—
305	C₄²	—	2	1	no	—
306	C₄²	—	166	1	no	—
307	C₄²	C₂²×D₈₃	1	1	yes	characteristic
308	C₂³	—	2	1	no	—
309	C₂³	—	332	2	no	—
310	C₂³	—	332	2	no	—
311	C₂³	—	332	2	no	—
312	C₂³	—	332	2	no	—
313	C₂³	—	83	1	no	—
314	C₂³	—	83	1	no	—
315	C₂³	—	664	1	no	—
316	C₂³	—	664	1	no	—
317	C₂³	—	166	1	no	—
318	C₂³	—	166	1	no	—
319	Q₈	—	2	1	no	—
320	Q₈	—	2	1	no	—
321	D₄	—	2	1	no	—
322	D₄	—	332	2	no	—
323	D₄	—	332	2	no	—
324	D₄	—	332	2	no	—
325	D₄	—	332	2	no	—
326	D₄	—	332	2	no	—
327	D₄	—	664	1	no	—
328	D₄	—	166	2	no	—
329	D₄	—	166	1	no	—
330	D₄	—	166	1	no	—
331	D₄	—	166	1	no	—
332	D₄	—	166	1	no	—
333	D₄	#13050590	1	2	yes	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	332	2	no	—
339	C₂×C₄	—	83	1	no	—
340	C₂×C₄	—	83	1	no	—
341	C₂×C₄	—	166	1	no	—
342	C₂×C₄	—	166	1	no	—
343	C₂×C₄	—	166	1	no	—
344	C₂×C₄	—	166	1	no	—
345	C₂×C₄	—	166	1	no	—
346	C₂×C₄	—	166	1	no	—
347	C₂×C₄	D₄×D₈₃	1	1	yes	characteristic
348	C₂×C₄	D₄×D₈₃	1	1	yes	characteristic
349	C₂×C₄	C₂³×D₈₃	1	1	yes	characteristic
350	C₈	—	2	1	no	—
351	C₈	—	2	1	no	—
352	C₈	—	166	1	no	—
353	C₈	—	166	1	no	—
354	C₂²	—	2	2	no	—
355	C₂²	—	4	1	no	—
356	C₂²	—	4	1	no	—
357	C₂²	—	332	1	no	—
358	C₂²	—	332	1	no	—
359	C₂²	—	332	1	no	—
360	C₂²	—	332	1	no	—
361	C₂²	—	332	1	no	—
362	C₂²	—	332	1	no	—
363	C₂²	—	83	2	no	—
364	C₂²	—	664	4	no	—
365	C₂²	—	664	4	no	—
366	C₂²	—	166	1	no	—
367	C₂²	—	166	1	no	—
368	C₂²	—	166	1	no	—
369	C₂²	—	166	1	no	—
370	C₂²	—	166	1	no	—
371	C₂²	C₂×D₄×D₈₃	1	1	yes	characteristic
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	4	1	no	—
375	C₄	—	4	1	no	—
376	C₄	—	4	1	no	—
377	C₄	—	332	1	no	—
378	C₄	—	332	1	no	—
379	C₄	—	166	1	no	—
380	C₄	—	166	1	no	—
381	C₄	C₂×#13050590	1	1	yes	characteristic
382	C₄	#14581838	1	1	yes	characteristic
383	C₂	—	4	2	no	—
384	C₂	—	332	1	no	—
385	C₂	—	664	1	no	—
386	C₂	—	664	1	no	—
387	C₂	—	166	2	no	—
388	C₂	#19128347	1	1	yes	characteristic
389	C₂	AGL(1,ℤ/8)×D₈₃	1	1	yes	characteristic
390	C₂	#19128510	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₈₃
commutator, cosocle	C₂×C₄×C₈₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₈₃
Fitting	#440×C₈₃	C₂
socle	C₂²×C₈₃	C₂²×D₄
prime radical	D₄×D₃₃₂	C₂
hypercenter	#440	D₈₃
hypocenter	C₈₃	#3310
LCS	G ▷ C₂×C₄×C₈₃ ▷ C₂×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #440

Complements

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

N	H ≅ G/N	type
1. #19128392	C₂	semidirect
3. #19128066	C₂	semidirect
4. #19128028	C₂	semidirect
5. #19128016	C₂	semidirect
6. #19128001	C₂	semidirect
7. #19127950	C₂	semidirect
8. #19127933	C₂	semidirect
9. #19127901	C₂	semidirect
10. #19127850	C₂	semidirect
11. #19127850	C₂	semidirect
12. #19127774	C₂	semidirect
13. #19127704	C₂	semidirect
14. #102×D₈₃	C₂	semidirect
15. #440×C₈₃	C₂	semidirect
19. C₂×#13050577	C₂²	semidirect
20. C₂×#13050577	C₂²	semidirect
21. C₂×#13050573	C₂²	semidirect
22. C₂×C₈×D₈₃	C₂²	semidirect
25. #14581784	C₂²	semidirect
28. #14581768	C₂²	semidirect
29. #14581768	C₂²	semidirect
36. #14581750	C₂²	semidirect
38. C₄⋊C₄×D₈₃	C₂²	semidirect
39. #14581725	C₂²	semidirect
40. #14581723	C₂²	semidirect
41. C₄⋊(C₈₃⋊C₈)	C₂²	semidirect
42. #14581714	C₂²	semidirect
43. #14581714	C₂²	semidirect
44. #14581714	C₂²	semidirect
45. #14581714	C₂²	semidirect
48. #14581712	C₂²	semidirect
49. #14581712	C₂²	semidirect
50. (C₂×D₈₃)⋊C₈	C₂²	semidirect
51. (C₂×D₈₃)⋊C₈	C₂²	semidirect
53. C₄×Q₈×C₈₃	C₂²	semidirect
55. #107×C₈₃	C₂²	semidirect
56. #103×C₈₃	C₂²	semidirect
58. #97×C₈₃	C₂²	semidirect
196. C₈₃	#3310	semidirect
208. #440	D₈₃	semidirect
232. C₄×Q₈	C₂×D₈₃	semidirect
239. #107	C₂×D₈₃	semidirect
242. #103	C₂×D₈₃	semidirect
254. #97	C₂×D₈₃	semidirect

Maximal subgroups

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

subgroup	index
#19128392	2
D₄×D₃₃₂	2
#19128066	2
#19128028	2
#19128016	2
#19128001	2
#19127950	2
#19127933	2
#19127901	2
#19127850	2
#19127774	2
#19127704	2
#102×D₈₃	2
#440×C₈₃	2
#3310	83