Subgroups — #24917005

Order 10624.

504 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14581819	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14581815	C₂	1	1	yes	maximal, characteristic, complemented
3	#19128269	C₂	1	1	yes	maximal, characteristic, complemented
4	#19128183	C₂	1	1	yes	maximal, characteristic, complemented
5	#19127925	C₂	1	1	yes	maximal, characteristic, complemented
6	#19127919	C₂	1	1	yes	maximal, characteristic, complemented
7	#19127913	C₂	1	1	yes	maximal, characteristic, complemented
8	#19127901	C₂	1	1	yes	maximal, characteristic, complemented
9	#19127899	C₂	1	1	yes	maximal, characteristic, complemented
10	#19127897	C₂	1	1	yes	maximal, characteristic, complemented
11	#19127895	C₂	1	1	yes	maximal, characteristic, complemented
12	#19127726	C₂	1	1	yes	maximal, characteristic, complemented
13	#19127701	C₂	1	1	yes	maximal, characteristic, complemented
14	#102×D₈₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#464×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#13050591	C₂²	1	1	yes	characteristic
17	C₂×#13050591	C₂²	1	1	yes	characteristic
18	C₂×D₄×D₈₃	C₂²	1	1	yes	characteristic
19	#14581819	—	2	4	no	—
20	#14581815	—	2	4	no	—
21	C₂×#13050577	C₂²	1	1	yes	characteristic
22	C₂×#13050577	C₂²	1	1	yes	characteristic, complemented
23	C₂×#13050577	C₂²	1	1	yes	characteristic, complemented
24	C₂×D₆₆₄	C₂²	1	1	yes	characteristic
25	C₂×D₆₆₄	C₂²	1	1	yes	characteristic, complemented
26	C₂×#13050575	C₂²	1	1	yes	characteristic
27	C₂×#13050573	C₂²	1	1	yes	characteristic
28	C₂×C₈×D₈₃	C₂²	1	1	yes	characteristic
29	#14581789	C₂²	1	1	yes	characteristic
30	#14581788	C₂²	1	1	yes	characteristic
31	#14581781	C₂²	1	1	yes	characteristic
32	#14581765	—	2	1	no	—
33	#14581765	—	2	1	no	—
34	#14581762	—	2	1	no	—
35	#14581762	—	2	1	no	—
36	Q₈×Dic₈₃	C₂²	1	1	yes	characteristic, complemented
37	C₄×D₃₃₂	—	2	1	no	—
38	C₄×D₃₃₂	C₂²	1	1	yes	characteristic, complemented
39	#14581754	—	2	1	no	—
40	#14581754	C₂²	1	1	yes	characteristic, complemented
41	#14581749	—	2	1	no	—
42	#14581749	C₂²	1	1	yes	characteristic
43	C₄⋊C₄×D₈₃	—	2	1	no	—
44	C₄⋊C₄×D₈₃	C₂²	1	1	yes	characteristic
45	C₄⋊(C₈₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
46	Dic₈₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
47	Dic₈₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
48	#14581716	C₂²	1	1	yes	characteristic, complemented
49	#14581714	C₂²	1	1	yes	characteristic
50	#14581714	C₂²	1	1	yes	characteristic, complemented
51	#14581713	C₂²	1	1	yes	characteristic
52	#14581712	C₂²	1	1	yes	characteristic
53	#14581712	C₂²	1	1	yes	characteristic, complemented
54	C₂×Q₁₆×C₈₃	C₂²	1	1	yes	characteristic, complemented
55	C₂×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
56	#124×C₈₃	C₂²	1	1	yes	characteristic
57	C₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
58	C₄⋊C₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
59	#103×C₈₃	C₂²	1	1	yes	characteristic, complemented
60	#102×C₈₃	C₂²	1	1	yes	characteristic
61	C₂³×D₈₃	—	2	1	no	—
62	#13050591	—	2	2	no	—
63	#13050591	—	2	2	no	—
64	#13050591	—	2	2	no	—
65	#13050591	D₄	1	4	yes	complemented
66	C₂×D₃₃₂	—	2	1	no	—
67	C₂×D₃₃₂	—	2	1	no	—
68	C₂×D₃₃₂	—	2	1	no	—
69	C₂×D₃₃₂	—	2	1	no	—
70	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
71	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
72	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
73	C₂×C₂²⋊D₈₃	—	2	1	no	—
74	C₂×C₂²⋊D₈₃	—	2	1	no	—
75	C₂×C₂²⋊D₈₃	—	2	1	no	—
76	D₄×D₈₃	—	2	2	no	—
77	D₄×D₈₃	—	2	2	no	—
78	C₂×C₄×D₈₃	—	2	1	no	—
79	C₂×C₄×D₈₃	—	2	1	no	—
80	C₂×C₄×D₈₃	—	2	1	no	—
81	C₂×C₄×D₈₃	—	2	1	no	—
82	C₂×C₄×D₈₃	—	2	1	no	—
83	C₂×C₄×D₈₃	C₂³	1	1	yes	characteristic
84	#13050577	—	2	2	no	—
85	#13050577	—	2	2	no	—
86	#13050577	—	2	2	no	—
87	D₆₆₄	—	2	2	no	—
88	D₆₆₄	—	2	2	no	—
89	#13050575	—	2	2	no	—
90	#13050573	—	2	2	no	—
91	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
92	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
93	C₈×D₈₃	—	2	2	no	—
94	C₄⋊Dic₈₃	—	2	1	no	—
95	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
96	Dic₈₃⋊C₄	—	2	1	no	—
97	Dic₈₃⋊C₄	D₄	1	1	yes	characteristic
98	Dic₈₃⋊C₄	D₄	1	1	yes	characteristic
99	(C₂×D₈₃)⋊C₄	—	2	1	no	—
100	(C₂×D₈₃)⋊C₄	—	2	1	no	—
101	(C₂×D₈₃)⋊C₄	—	2	1	no	—
102	(C₂×D₈₃)⋊C₄	—	2	1	no	—
103	(C₂×D₈₃)⋊C₄	D₄	1	1	yes	characteristic
104	(C₂×D₈₃)⋊C₄	D₄	1	1	yes	characteristic
105	C₄×Dic₈₃	—	2	1	no	—
106	C₄×Dic₈₃	C₂³	1	1	yes	characteristic
107	C₂×Q₈×C₈₃	C₂³	1	1	yes	characteristic
108	C₂×Q₈×C₈₃	C₂³	1	1	yes	characteristic
109	C₂×D₄×C₈₃	C₂³	1	1	yes	characteristic
110	Q₁₆×C₈₃	—	2	2	no	—
111	SD₁₆×C₈₃	—	2	2	no	—
112	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
113	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
114	C₄⋊C₄×C₈₃	—	2	1	no	—
115	C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
116	C₂²⋊C₄×C₈₃	—	2	1	no	—
117	C₂²⋊C₄×C₈₃	—	2	1	no	—
118	C₄²×C₈₃	—	2	1	no	—
119	C₄²×C₈₃	C₂³	1	1	yes	characteristic
120	C₂³×C₈₃	—	2	1	no	—
121	C₂²×D₈₃	—	2	1	no	—
122	C₂²×D₈₃	—	2	1	no	—
123	C₂²×D₈₃	—	2	1	no	—
124	C₂²×D₈₃	—	4	2	no	—
125	C₂²×D₈₃	—	8	1	no	—
126	C₂²×D₈₃	—	8	1	no	—
127	C₂²×D₈₃	C₂×D₄	1	1	yes	characteristic
128	Q₈×C₈₃	—	2	1	no	—
129	Q₈×C₈₃	—	2	1	no	—
130	Q₈×C₈₃	—	2	1	no	—
131	Q₈×C₈₃	C₂×D₄	1	2	yes	—
132	D₄×C₈₃	—	2	1	no	—
133	D₄×C₈₃	—	2	1	no	—
134	C₂×C₄×C₈₃	—	2	1	no	—
135	C₂×C₄×C₈₃	—	2	1	no	—
136	C₂×C₄×C₈₃	—	2	1	no	—
137	C₂×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
140	C₂²⋊D₈₃	—	4	2	no	—
141	C₂²⋊D₈₃	—	8	1	no	—
142	C₂²⋊D₈₃	—	8	1	no	—
143	C₂×Dic₈₃	—	2	1	no	—
144	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
145	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
146	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
147	D₃₃₂	—	2	4	no	—
148	D₃₃₂	—	2	1	no	—
149	D₃₃₂	—	2	1	no	—
150	D₃₃₂	—	2	1	no	—
151	D₃₃₂	—	2	1	no	—
152	D₃₃₂	—	2	1	no	—
153	D₃₃₂	—	4	2	no	—
154	D₃₃₂	—	8	1	no	—
155	D₃₃₂	—	8	1	no	—
156	D₃₃₂	C₂×D₄	1	2	yes	—
157	C₄×D₈₃	—	2	4	no	—
158	C₄×D₈₃	—	4	2	no	—
159	C₄×D₈₃	—	8	1	no	—
160	C₄×D₈₃	—	8	1	no	—
161	C₄×D₈₃	—	8	1	no	—
162	C₄×D₈₃	C₂×D₄	1	2	yes	—
163	C₄×D₈₃	#41	1	2	yes	—
164	C₈×C₈₃	—	2	1	no	—
165	C₈×C₈₃	—	2	1	no	—
166	C₈₃⋊C₈	—	2	1	no	—
167	C₈₃⋊C₈	—	2	1	no	—
168	C₂²×C₈₃	—	4	1	no	—
169	C₂²×C₈₃	—	4	1	no	—
170	C₂²×C₈₃	—	4	1	no	—
171	C₂²×C₈₃	C₂²×D₄	1	1	yes	characteristic
172	C₂×D₈₃	—	2	1	no	—
173	C₂×D₈₃	—	2	1	no	—
174	C₂×D₈₃	—	2	2	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	—	4	1	no	—
181	C₂×D₈₃	—	4	1	no	—
182	C₂×D₈₃	—	4	1	no	—
183	C₂×D₈₃	—	8	4	no	—
184	C₂×D₈₃	#121	1	2	yes	—
185	C₄×C₈₃	—	2	2	no	—
186	C₄×C₈₃	—	2	1	no	—
187	C₄×C₈₃	—	2	1	no	—
188	C₄×C₈₃	—	4	1	no	—
189	C₄×C₈₃	—	4	1	no	—
190	C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
191	C₄×C₈₃	C₂×#41	1	1	yes	characteristic
192	Dic₈₃	—	2	1	no	—
193	Dic₈₃	—	2	1	no	—
194	Dic₈₃	—	4	1	no	—
195	Dic₈₃	#121	1	2	yes	—
196	C₂×C₈₃	—	8	1	no	—
197	C₂×C₈₃	C₂×#121	1	1	yes	characteristic
198	C₂×C₈₃	#576	1	1	yes	characteristic
199	C₂×C₈₃	#577	1	1	yes	characteristic
200	D₈₃	—	2	2	no	—
201	D₈₃	—	4	2	no	—
202	D₈₃	—	8	1	no	—
203	D₈₃	—	8	1	no	—
204	#3045	—	83	1	no	maximal, Sylow
205	C₈₃	#3045	1	1	yes	characteristic, complemented, Sylow
206	C₂×AGL(1,ℤ/8)	—	83	1	no	—
207	C₂×#135	—	83	1	no	—
208	#535	—	83	1	no	—
209	#520	—	83	1	no	—
210	#464	—	83	1	no	—
211	#464	D₈₃	1	1	yes	characteristic, complemented
212	#463	—	83	1	no	—
213	#463	—	83	1	no	—
214	#460	—	83	1	no	—
215	#460	—	83	1	no	—
216	#459	—	83	1	no	—
217	#459	—	83	1	no	—
218	#424	—	83	1	no	—
219	#417	—	83	1	no	—
220	C₂×#102	—	83	1	no	—
221	C₂×#41	—	83	1	no	—
222	C₂×#41	—	83	1	no	—
223	C₂²×D₄	—	83	1	no	—
224	AGL(1,ℤ/8)	—	166	4	no	—
225	#135	—	166	4	no	—
226	C₂×Q₁₆	C₂×D₈₃	1	1	yes	characteristic, complemented
227	C₂×SD₁₆	—	83	1	no	—
228	C₂×SD₁₆	—	83	1	no	—
229	C₂×SD₁₆	—	83	1	no	—
230	C₂×SD₁₆	C₂×D₈₃	1	1	yes	characteristic
231	C₂×D₈	—	83	1	no	—
232	C₂×D₈	—	83	1	no	—
233	C₂×D₈	—	83	1	no	—
234	C₂×M₁₆	—	83	1	no	—
235	C₂²×C₈	—	83	1	no	—
236	#127	—	83	1	no	—
237	#127	—	83	1	no	—
238	#124	—	83	1	no	—
239	#124	C₂×D₈₃	1	1	yes	characteristic
240	#121	—	166	1	no	—
241	#121	—	166	1	no	—
242	#120	—	166	1	no	—
243	#120	—	166	1	no	—
244	C₄×Q₈	—	83	1	no	—
245	C₄×Q₈	C₂×D₈₃	1	1	yes	characteristic, complemented
246	C₄×D₄	—	83	1	no	—
247	C₄×D₄	—	83	1	no	—
248	C₄×D₄	—	166	1	no	—
249	C₄×D₄	—	166	1	no	—
250	#117	—	83	1	no	—
251	#117	—	166	1	no	—
252	C₂×C₄⋊C₄	—	83	1	no	—
253	C₂×C₄⋊C₄	—	166	1	no	—
254	C₄⋊C₈	—	83	1	no	—
255	C₄⋊C₈	—	83	1	no	—
256	C₄⋊C₈	—	83	1	no	—
257	C₄⋊C₈	C₂×D₈₃	1	1	yes	characteristic, complemented
258	#103	—	83	1	no	—
259	#103	C₂×D₈₃	1	1	yes	characteristic, complemented
260	#102	—	83	1	no	—
261	#102	—	83	1	no	—
262	#102	—	83	1	no	—
263	#102	—	83	1	no	—
264	#102	—	83	1	no	—
265	#102	C₂×D₈₃	1	1	yes	characteristic
266	C₂⁴	—	166	1	no	—
267	#41	—	83	4	no	—
268	#41	—	166	2	no	—
269	#41	—	166	2	no	—
270	#41	—	166	2	no	—
271	C₂×Q₈	C₂²×D₈₃	1	1	yes	characteristic
272	C₂×Q₈	C₂²×D₈₃	1	1	yes	characteristic
273	C₂×D₄	—	83	1	no	—
274	C₂×D₄	—	83	1	no	—
275	C₂×D₄	—	83	1	no	—
276	C₂×D₄	—	166	1	no	—
277	C₂×D₄	—	166	1	no	—
278	C₂×D₄	—	166	2	no	—
279	C₂×D₄	—	166	2	no	—
280	C₂×D₄	—	166	1	no	—
281	C₂×D₄	—	166	1	no	—
282	C₂×D₄	—	166	1	no	—
283	C₂×D₄	—	166	1	no	—
284	C₂×D₄	—	166	1	no	—
285	C₂×D₄	C₂²×D₈₃	1	1	yes	characteristic
286	C₂²×C₄	—	83	1	no	—
287	C₂²×C₄	—	166	1	no	—
288	C₂²×C₄	—	166	1	no	—
289	C₂²×C₄	—	166	1	no	—
290	C₂²×C₄	—	166	1	no	—
291	C₂²×C₄	—	166	1	no	—
292	Q₁₆	—	2	2	no	—
293	SD₁₆	—	2	2	no	—
294	SD₁₆	—	166	2	no	—
295	SD₁₆	—	166	2	no	—
296	SD₁₆	—	166	2	no	—
297	D₈	—	166	2	no	—
298	D₈	—	166	2	no	—
299	D₈	—	166	2	no	—
300	M₁₆	—	166	2	no	—
301	C₂×C₈	—	83	1	no	—
302	C₂×C₈	—	83	1	no	—
303	C₂×C₈	—	166	2	no	—
304	C₂×C₈	C₂²×D₈₃	1	1	yes	characteristic
305	C₂×C₈	C₂²×D₈₃	1	1	yes	characteristic
306	C₄⋊C₄	—	2	1	no	—
307	C₄⋊C₄	—	83	1	no	—
308	C₄⋊C₄	—	83	1	no	—
309	C₄⋊C₄	—	83	1	no	—
310	C₄⋊C₄	—	166	1	no	—
311	C₄⋊C₄	—	166	1	no	—
312	C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
313	C₂²⋊C₄	—	2	1	no	—
314	C₂²⋊C₄	—	2	1	no	—
315	C₂²⋊C₄	—	83	1	no	—
316	C₂²⋊C₄	—	83	1	no	—
317	C₂²⋊C₄	—	166	1	no	—
318	C₂²⋊C₄	—	166	1	no	—
319	C₂²⋊C₄	—	166	1	no	—
320	C₂²⋊C₄	—	166	1	no	—
321	C₄²	—	2	1	no	—
322	C₄²	—	83	1	no	—
323	C₄²	—	166	1	no	—
324	C₄²	C₂²×D₈₃	1	1	yes	characteristic
325	C₂³	—	2	1	no	—
326	C₂³	—	332	2	no	—
327	C₂³	—	83	1	no	—
328	C₂³	—	664	1	no	—
329	C₂³	—	664	1	no	—
330	C₂³	—	166	1	no	—
331	C₂³	—	166	1	no	—
332	C₂³	—	166	1	no	—
333	Q₈	—	2	1	no	—
334	Q₈	—	2	1	no	—
335	Q₈	—	2	1	no	—
336	Q₈	D₄×D₈₃	1	2	yes	—
337	D₄	—	2	1	no	—
338	D₄	—	2	1	no	—
339	D₄	—	332	2	no	—
340	D₄	—	332	2	no	—
341	D₄	—	83	2	no	—
342	D₄	—	664	1	no	—
343	D₄	—	664	1	no	—
344	D₄	—	664	1	no	—
345	D₄	—	664	1	no	—
346	D₄	—	166	4	no	—
347	D₄	—	166	1	no	—
348	D₄	—	166	1	no	—
349	D₄	—	166	1	no	—
350	D₄	—	166	1	no	—
351	D₄	—	166	1	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	2	1	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	332	2	no	—
356	C₂×C₄	—	83	1	no	—
357	C₂×C₄	—	83	2	no	—
358	C₂×C₄	—	83	2	no	—
359	C₂×C₄	—	83	1	no	—
360	C₂×C₄	—	83	1	no	—
361	C₂×C₄	—	664	1	no	—
362	C₂×C₄	—	664	1	no	—
363	C₂×C₄	—	664	1	no	—
364	C₂×C₄	—	166	4	no	—
365	C₂×C₄	—	166	1	no	—
366	C₂×C₄	D₄×D₈₃	1	1	yes	characteristic
367	C₂×C₄	D₄×D₈₃	1	1	yes	characteristic
368	C₂×C₄	C₂³×D₈₃	1	1	yes	characteristic
369	C₈	—	2	1	no	—
370	C₈	—	2	1	no	—
371	C₈	—	166	1	no	—
372	C₈	—	166	1	no	—
373	C₂²	—	4	1	no	—
374	C₂²	—	4	1	no	—
375	C₂²	—	4	1	no	—
376	C₂²	—	332	1	no	—
377	C₂²	—	332	1	no	—
378	C₂²	—	332	1	no	—
379	C₂²	—	332	1	no	—
380	C₂²	—	332	1	no	—
381	C₂²	—	332	1	no	—
382	C₂²	—	332	1	no	—
383	C₂²	—	332	1	no	—
384	C₂²	—	83	2	no	—
385	C₂²	—	664	4	no	—
386	C₂²	—	166	2	no	—
387	C₂²	—	166	1	no	—
388	C₂²	—	166	1	no	—
389	C₂²	C₂×D₄×D₈₃	1	1	yes	characteristic
390	C₄	—	2	2	no	—
391	C₄	—	2	1	no	—
392	C₄	—	2	1	no	—
393	C₄	—	4	1	no	—
394	C₄	—	4	1	no	—
395	C₄	—	332	1	no	—
396	C₄	—	83	2	no	—
397	C₄	—	166	1	no	—
398	C₄	—	166	1	no	—
399	C₄	C₂×D₄×D₈₃	1	1	yes	characteristic
400	C₄	#41×D₈₃	1	1	yes	characteristic
401	C₂	—	8	1	no	—
402	C₂	—	332	2	no	—
403	C₂	—	664	1	no	—
404	C₂	—	664	1	no	—
405	C₂	—	166	2	no	—
406	C₂	#121×D₈₃	1	1	yes	characteristic
407	C₂	#19128503	1	1	yes	characteristic
408	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	#464×C₈₃	C₂
socle	C₂²×C₈₃	C₂²×D₄
hypercenter	#464	D₈₃
hypocenter	C₈₃	#3045
LCS	G ▷ C₂×C₄×C₈₃ ▷ C₂×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #464

Complements

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

N	H ≅ G/N	type
1. C₂×#14581819	C₂	semidirect
2. C₂×#14581815	C₂	semidirect
3. #19128269	C₂	semidirect
4. #19128183	C₂	semidirect
5. #19127925	C₂	semidirect
6. #19127919	C₂	semidirect
7. #19127913	C₂	semidirect
8. #19127901	C₂	semidirect
9. #19127899	C₂	semidirect
10. #19127897	C₂	semidirect
11. #19127895	C₂	semidirect
12. #19127726	C₂	semidirect
13. #19127701	C₂	semidirect
14. #102×D₈₃	C₂	semidirect
15. #464×C₈₃	C₂	semidirect
22. C₂×#13050577	C₂²	semidirect
23. C₂×#13050577	C₂²	semidirect
25. C₂×D₆₆₄	C₂²	semidirect
36. Q₈×Dic₈₃	C₂²	semidirect
38. C₄×D₃₃₂	C₂²	semidirect
40. #14581754	C₂²	semidirect
45. C₄⋊(C₈₃⋊C₈)	C₂²	semidirect
46. Dic₈₃⋊C₈	C₂²	semidirect
47. Dic₈₃⋊C₈	C₂²	semidirect
48. #14581716	C₂²	semidirect
50. #14581714	C₂²	semidirect
53. #14581712	C₂²	semidirect
54. C₂×Q₁₆×C₈₃	C₂²	semidirect
57. C₄×Q₈×C₈₃	C₂²	semidirect
58. C₄⋊C₈×C₈₃	C₂²	semidirect
59. #103×C₈₃	C₂²	semidirect
65. #13050591	D₄	semidirect
205. C₈₃	#3045	semidirect
211. #464	D₈₃	semidirect
226. C₂×Q₁₆	C₂×D₈₃	semidirect
245. C₄×Q₈	C₂×D₈₃	semidirect
257. C₄⋊C₈	C₂×D₈₃	semidirect
259. #103	C₂×D₈₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14581819	2
C₂×#14581815	2
#19128269	2
#19128183	2
#19127925	2
#19127919	2
#19127913	2
#19127901	2
#19127899	2
#19127897	2
#19127895	2
#19127726	2
#19127701	2
#102×D₈₃	2
#464×C₈₃	2
#3045	83