Subgroups — #24917140

Order 10624.

504 conjugacy classes of subgroups.

The subgroup lattice has 420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14581816	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14581800	C₂	1	1	yes	maximal, characteristic, complemented
3	#19128280	C₂	1	1	yes	maximal, characteristic, complemented
4	#19128267	C₂	1	1	yes	maximal, characteristic, complemented
5	#19127953	C₂	1	1	yes	maximal, characteristic, complemented
6	#19127947	C₂	1	1	yes	maximal, characteristic, complemented
7	#19127946	C₂	1	1	yes	maximal, characteristic, complemented
8	#19127935	C₂	1	1	yes	maximal, characteristic, complemented
9	#19127934	C₂	1	1	yes	maximal, characteristic, complemented
10	#19127931	C₂	1	1	yes	maximal, characteristic, complemented
11	#19127928	C₂	1	1	yes	maximal, characteristic, complemented
12	#19127740	C₂	1	1	yes	maximal, characteristic, complemented
13	#19127694	C₂	1	1	yes	maximal, characteristic, complemented
14	#102×D₈₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#469×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#13050590	C₂²	1	1	yes	characteristic
17	C₂×#13050589	C₂²	1	1	yes	characteristic
18	C₂×D₄×D₈₃	C₂²	1	1	yes	characteristic
19	#14581816	—	2	4	no	—
20	C₂×#13050579	C₂²	1	1	yes	characteristic
21	C₂×#13050578	C₂²	1	1	yes	characteristic
22	C₂×#13050575	C₂²	1	1	yes	characteristic
23	#14581800	—	2	4	no	—
24	C₂×#13050573	C₂²	1	1	yes	characteristic
25	C₂×#13050573	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₈₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₈×D₈₃	C₂²	1	1	yes	characteristic
28	C₂×C₈×D₈₃	C₂²	1	1	yes	characteristic, complemented
29	#14581788	—	2	1	no	—
30	#14581778	—	2	1	no	—
31	#14581772	C₂²	1	1	yes	characteristic, complemented
32	#14581771	C₂²	1	1	yes	characteristic, complemented
33	#14581769	—	2	1	no	—
34	#14581767	C₂²	1	1	yes	characteristic
35	#14581766	C₂²	1	1	yes	characteristic
36	#14581765	—	2	1	no	—
37	#14581764	—	2	1	no	—
38	#14581763	—	2	1	no	—
39	#14581763	C₂²	1	1	yes	characteristic
40	#14581763	C₂²	1	1	yes	characteristic, complemented
41	#14581762	—	2	1	no	—
42	#14581760	—	2	1	no	—
43	#14581750	C₂²	1	1	yes	characteristic
44	C₄⋊C₄×D₈₃	C₂²	1	1	yes	characteristic
45	#14581726	C₂²	1	1	yes	characteristic, complemented
46	#14581725	C₂²	1	1	yes	characteristic, complemented
47	#14581723	C₂²	1	1	yes	characteristic, complemented
48	#14581717	C₂²	1	1	yes	characteristic, complemented
49	#14581715	C₂²	1	1	yes	characteristic, complemented
50	#14581714	C₂²	1	1	yes	characteristic
51	#14581713	C₂²	1	1	yes	characteristic
52	#14581713	C₂²	1	1	yes	characteristic, complemented
53	#14581712	C₂²	1	1	yes	characteristic
54	C₂×D₈×C₈₃	C₂²	1	1	yes	characteristic
55	C₂×M₁₆×C₈₃	C₂²	1	1	yes	characteristic, complemented
56	#121×C₈₃	C₂²	1	1	yes	characteristic
57	#121×C₈₃	C₂²	1	1	yes	characteristic, complemented
58	#106×C₈₃	C₂²	1	1	yes	characteristic, complemented
59	#102×C₈₃	C₂²	1	1	yes	characteristic
60	#102×C₈₃	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₈₃	—	2	1	no	—
62	#13050590	—	2	2	no	—
63	#13050590	—	2	2	no	—
64	#13050589	—	2	2	no	—
65	#13050589	—	2	2	no	—
66	C₂×Dic₁₆₆	D₄	1	1	yes	characteristic
67	C₂×Dic₁₆₆	C₂³	1	1	yes	characteristic
68	C₂×D₃₃₂	—	2	1	no	—
69	C₂×D₃₃₂	D₄	1	1	yes	characteristic
70	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
71	C₂×C₂²⋊D₈₃	—	2	1	no	—
72	C₂×C₂²⋊D₈₃	—	2	1	no	—
73	C₂×C₂²⋊D₈₃	—	2	1	no	—
74	C₂×C₂²⋊D₈₃	—	2	1	no	—
75	C₂×C₂²⋊D₈₃	—	2	1	no	—
76	C₂×C₂²⋊D₈₃	D₄	1	1	yes	characteristic
77	C₂×C₂²⋊D₈₃	D₄	1	1	yes	characteristic
78	D₄×D₈₃	—	2	2	no	—
79	D₄×D₈₃	—	2	2	no	—
80	C₂²×Dic₈₃	—	2	1	no	—
81	C₂×C₄×D₈₃	—	2	1	no	—
82	C₂×C₄×D₈₃	C₂³	1	1	yes	characteristic
83	C₂×C₄×D₈₃	C₂³	1	1	yes	characteristic
84	#13050579	—	2	2	no	—
85	#13050578	—	2	2	no	—
86	#13050575	—	2	2	no	—
87	#13050573	—	2	2	no	—
88	#13050573	D₄	1	4	yes	complemented
89	C₂×C₈₃⋊C₈	—	2	2	no	—
90	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
91	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
92	C₈×D₈₃	—	2	2	no	—
93	C₈×D₈₃	—	2	2	no	—
94	C₄⋊Dic₈₃	—	2	1	no	—
95	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
96	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
97	Dic₈₃⋊C₄	—	2	1	no	—
98	Dic₈₃⋊C₄	—	2	1	no	—
99	C₂²⋊Dic₈₃	—	2	1	no	—
100	C₂²⋊Dic₈₃	—	2	1	no	—
101	C₂²⋊Dic₈₃	—	2	1	no	—
102	(C₂×D₈₃)⋊C₄	—	2	1	no	—
103	(C₂×D₈₃)⋊C₄	—	2	1	no	—
104	(C₂×D₈₃)⋊C₄	—	2	1	no	—
105	(C₂×D₈₃)⋊C₄	—	2	1	no	—
106	C₄×Dic₈₃	—	2	1	no	—
107	C₂×D₄×C₈₃	—	2	1	no	—
108	C₂×D₄×C₈₃	—	2	1	no	—
109	C₂×D₄×C₈₃	C₂³	1	1	yes	characteristic
110	C₂×D₄×C₈₃	C₂³	1	1	yes	characteristic
111	C₂²×C₄×C₈₃	C₂³	1	1	yes	characteristic
112	D₈×C₈₃	—	2	2	no	—
113	M₁₆×C₈₃	—	2	2	no	—
114	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
115	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
116	C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
117	C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
118	C₂²⋊C₄×C₈₃	—	2	1	no	—
119	C₂²⋊C₄×C₈₃	—	2	1	no	—
120	C₂³×C₈₃	—	2	1	no	—
121	C₂³×C₈₃	—	2	1	no	—
122	C₂³×C₈₃	C₂×D₄	1	1	yes	characteristic
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	C₂²×D₈₃	C₂×D₄	1	1	yes	characteristic
129	D₄×C₈₃	—	2	1	no	—
130	D₄×C₈₃	—	2	1	no	—
131	D₄×C₈₃	—	2	1	no	—
132	D₄×C₈₃	—	2	1	no	—
133	D₄×C₈₃	—	8	1	no	—
134	D₄×C₈₃	—	8	1	no	—
135	C₂×C₄×C₈₃	—	2	1	no	—
136	C₂×C₄×C₈₃	—	2	1	no	—
137	C₂×C₄×C₈₃	—	2	1	no	—
138	C₂×C₄×C₈₃	—	2	1	no	—
139	C₂×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
141	C₂²⋊D₈₃	—	2	2	no	—
142	C₂²⋊D₈₃	—	2	2	no	—
143	C₂²⋊D₈₃	—	4	2	no	—
144	C₂²⋊D₈₃	—	4	2	no	—
145	C₂²⋊D₈₃	—	8	1	no	—
146	C₂²⋊D₈₃	—	8	1	no	—
147	C₂²⋊D₈₃	—	8	1	no	—
148	C₂×Dic₈₃	—	2	1	no	—
149	C₂×Dic₈₃	—	2	1	no	—
150	C₂×Dic₈₃	—	2	1	no	—
151	C₂×Dic₈₃	—	4	2	no	—
152	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
153	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
154	D₃₃₂	—	2	2	no	—
155	D₃₃₂	—	2	1	no	—
156	D₃₃₂	—	2	1	no	—
157	D₃₃₂	—	8	1	no	—
158	C₄×D₈₃	—	2	1	no	—
159	C₄×D₈₃	—	2	1	no	—
160	C₄×D₈₃	—	8	1	no	—
161	C₄×D₈₃	C₂×D₄	1	2	yes	—
162	C₄×D₈₃	#41	1	2	yes	—
163	Dic₁₆₆	—	2	2	no	—
164	Dic₁₆₆	—	2	1	no	—
165	Dic₁₆₆	—	2	1	no	—
166	C₈×C₈₃	—	2	1	no	—
167	C₈×C₈₃	C₂×D₄	1	2	yes	—
168	C₈₃⋊C₈	—	2	1	no	—
169	C₈₃⋊C₈	C₂×D₄	1	2	yes	—
170	C₂²×C₈₃	—	2	1	no	—
171	C₂²×C₈₃	—	2	1	no	—
172	C₂²×C₈₃	—	2	1	no	—
173	C₂²×C₈₃	—	4	1	no	—
174	C₂²×C₈₃	—	4	1	no	—
175	C₂²×C₈₃	—	4	1	no	—
176	C₂²×C₈₃	—	4	1	no	—
177	C₂²×C₈₃	—	4	1	no	—
178	C₂²×C₈₃	—	4	1	no	—
179	C₂²×C₈₃	C₂²×D₄	1	1	yes	characteristic
180	C₂×D₈₃	—	2	1	no	—
181	C₂×D₈₃	—	2	1	no	—
182	C₂×D₈₃	—	2	1	no	—
183	C₂×D₈₃	—	2	1	no	—
184	C₂×D₈₃	—	2	1	no	—
185	C₂×D₈₃	—	4	1	no	—
186	C₂×D₈₃	—	4	1	no	—
187	C₂×D₈₃	—	4	1	no	—
188	C₂×D₈₃	—	8	4	no	—
189	C₂×D₈₃	#121	1	2	yes	—
190	C₄×C₈₃	—	2	1	no	—
191	C₄×C₈₃	—	4	1	no	—
192	C₄×C₈₃	—	4	1	no	—
193	C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
194	C₄×C₈₃	C₂×#41	1	1	yes	characteristic
195	Dic₈₃	—	2	1	no	—
196	Dic₈₃	—	4	1	no	—
197	Dic₈₃	—	4	1	no	—
198	Dic₈₃	—	4	1	no	—
199	Dic₈₃	#121	1	2	yes	—
200	C₂×C₈₃	—	4	1	no	—
201	C₂×C₈₃	—	8	1	no	—
202	C₂×C₈₃	—	8	1	no	—
203	C₂×C₈₃	C₂×#121	1	1	yes	characteristic
204	C₂×C₈₃	#576	1	1	yes	characteristic
205	C₂×C₈₃	#577	1	1	yes	characteristic
206	D₈₃	—	2	2	no	—
207	D₈₃	—	4	1	no	—
208	D₈₃	—	8	1	no	—
209	#3062	—	83	1	no	maximal, Sylow
210	C₈₃	#3062	1	1	yes	characteristic, complemented, Sylow
211	C₂×AGL(1,ℤ/8)	—	83	1	no	—
212	C₂×#131	—	83	1	no	—
213	#537	—	83	1	no	—
214	#535	—	83	1	no	—
215	#469	—	83	1	no	—
216	#469	D₈₃	1	1	yes	characteristic, complemented
217	#468	—	83	1	no	—
218	#468	—	83	1	no	—
219	#466	—	83	1	no	—
220	#466	—	83	1	no	—
221	#465	—	83	1	no	—
222	#465	—	83	1	no	—
223	#428	—	83	1	no	—
224	#416	—	83	1	no	—
225	C₂×#102	—	83	1	no	—
226	C₂×#41	—	83	1	no	—
227	C₂×#41	—	83	1	no	—
228	C₂²×D₄	—	83	1	no	—
229	AGL(1,ℤ/8)	—	166	4	no	—
230	C₂×SD₁₆	—	83	1	no	—
231	C₂×SD₁₆	—	83	1	no	—
232	C₂×D₈	—	83	1	no	—
233	C₂×D₈	C₂×D₈₃	1	1	yes	characteristic
234	#131	—	166	4	no	—
235	C₂×M₁₆	—	83	1	no	—
236	C₂×M₁₆	—	83	1	no	—
237	C₂×M₁₆	C₂×D₈₃	1	1	yes	characteristic, complemented
238	C₂²×C₈	—	83	1	no	—
239	C₂²×C₈	—	83	1	no	—
240	C₂²×C₈	—	83	1	no	—
241	#127	—	166	1	no	—
242	#124	—	166	1	no	—
243	C₂²⋊Q₈	—	83	1	no	—
244	C₂²⋊Q₈	—	83	1	no	—
245	C₂²⋊Q₈	—	166	1	no	—
246	#121	—	83	1	no	—
247	#121	—	83	1	no	—
248	#121	—	83	1	no	—
249	#121	—	83	1	no	—
250	#121	—	166	1	no	—
251	#121	—	166	1	no	—
252	#121	—	166	1	no	—
253	#121	C₂×D₈₃	1	1	yes	characteristic
254	#121	C₂×D₈₃	1	1	yes	characteristic, complemented
255	#120	—	166	1	no	—
256	#120	—	166	1	no	—
257	#117	—	83	1	no	—
258	C₂×C₄⋊C₄	—	83	1	no	—
259	#107	—	83	1	no	—
260	#107	—	83	1	no	—
261	#106	—	83	1	no	—
262	#106	C₂×D₈₃	1	1	yes	characteristic, complemented
263	#103	—	83	1	no	—
264	#103	—	83	1	no	—
265	#102	—	83	1	no	—
266	#102	—	83	1	no	—
267	#102	—	83	1	no	—
268	#102	—	83	1	no	—
269	#102	C₂×D₈₃	1	1	yes	characteristic
270	#102	C₂×D₈₃	1	1	yes	characteristic, complemented
271	C₂⁴	—	166	1	no	—
272	#41	—	166	2	no	—
273	#41	—	166	2	no	—
274	#41	—	166	2	no	—
275	#41	—	166	2	no	—
276	C₂×Q₈	—	83	1	no	—
277	C₂×Q₈	—	83	1	no	—
278	C₂×D₄	—	2	1	no	—
279	C₂×D₄	—	2	1	no	—
280	C₂×D₄	—	83	1	no	—
281	C₂×D₄	—	83	1	no	—
282	C₂×D₄	—	83	1	no	—
283	C₂×D₄	—	83	1	no	—
284	C₂×D₄	—	166	1	no	—
285	C₂×D₄	—	166	2	no	—
286	C₂×D₄	—	166	2	no	—
287	C₂×D₄	—	166	1	no	—
288	C₂×D₄	—	166	1	no	—
289	C₂×D₄	—	166	1	no	—
290	C₂×D₄	—	166	1	no	—
291	C₂×D₄	—	166	1	no	—
292	C₂×D₄	C₂²×D₈₃	1	1	yes	characteristic
293	C₂×D₄	C₂²×D₈₃	1	1	yes	characteristic
294	C₂²×C₄	—	83	1	no	—
295	C₂²×C₄	—	83	1	no	—
296	C₂²×C₄	—	166	1	no	—
297	C₂²×C₄	—	166	1	no	—
298	C₂²×C₄	C₂²×D₈₃	1	1	yes	characteristic
299	SD₁₆	—	166	2	no	—
300	SD₁₆	—	166	2	no	—
301	D₈	—	2	2	no	—
302	D₈	—	166	2	no	—
303	M₁₆	—	2	2	no	—
304	M₁₆	—	83	4	no	—
305	M₁₆	—	166	2	no	—
306	C₂×C₈	—	83	1	no	—
307	C₂×C₈	—	83	1	no	—
308	C₂×C₈	—	166	2	no	—
309	C₂×C₈	—	166	2	no	—
310	C₂×C₈	—	166	2	no	—
311	C₂×C₈	C₂²×D₈₃	1	1	yes	characteristic
312	C₂×C₈	C₂²×D₈₃	1	1	yes	characteristic
313	C₄⋊C₄	—	83	1	no	—
314	C₄⋊C₄	—	83	1	no	—
315	C₄⋊C₄	—	166	1	no	—
316	C₄⋊C₄	—	166	1	no	—
317	C₄⋊C₄	—	166	1	no	—
318	C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
319	C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
320	C₂²⋊C₄	—	2	1	no	—
321	C₂²⋊C₄	—	2	1	no	—
322	C₂²⋊C₄	—	166	1	no	—
323	C₂²⋊C₄	—	166	1	no	—
324	C₂²⋊C₄	—	166	1	no	—
325	C₂²⋊C₄	—	166	1	no	—
326	C₂²⋊C₄	—	166	1	no	—
327	C₂²⋊C₄	—	166	1	no	—
328	C₂²⋊C₄	—	166	1	no	—
329	C₄²	—	166	1	no	—
330	C₂³	—	2	1	no	—
331	C₂³	—	2	1	no	—
332	C₂³	—	332	2	no	—
333	C₂³	—	83	1	no	—
334	C₂³	—	83	1	no	—
335	C₂³	—	664	1	no	—
336	C₂³	—	664	1	no	—
337	C₂³	—	166	1	no	—
338	C₂³	D₄×D₈₃	1	1	yes	characteristic
339	Q₈	—	166	2	no	—
340	Q₈	—	166	1	no	—
341	Q₈	—	166	1	no	—
342	D₄	—	2	1	no	—
343	D₄	—	2	1	no	—
344	D₄	—	2	1	no	—
345	D₄	—	2	1	no	—
346	D₄	—	8	1	no	—
347	D₄	—	8	1	no	—
348	D₄	—	332	2	no	—
349	D₄	—	332	2	no	—
350	D₄	—	664	1	no	—
351	D₄	—	664	1	no	—
352	D₄	—	664	1	no	—
353	D₄	—	664	1	no	—
354	D₄	—	166	2	no	—
355	D₄	—	166	2	no	—
356	D₄	—	166	2	no	—
357	D₄	—	166	1	no	—
358	D₄	—	166	1	no	—
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	2	1	no	—
361	C₂×C₄	—	2	1	no	—
362	C₂×C₄	—	2	1	no	—
363	C₂×C₄	—	332	2	no	—
364	C₂×C₄	—	83	1	no	—
365	C₂×C₄	—	83	2	no	—
366	C₂×C₄	—	83	2	no	—
367	C₂×C₄	—	83	1	no	—
368	C₂×C₄	—	664	1	no	—
369	C₂×C₄	—	166	1	no	—
370	C₂×C₄	—	166	1	no	—
371	C₂×C₄	—	166	1	no	—
372	C₂×C₄	—	166	1	no	—
373	C₂×C₄	—	166	1	no	—
374	C₂×C₄	D₄×D₈₃	1	1	yes	characteristic
375	C₂×C₄	C₂³×D₈₃	1	1	yes	characteristic
376	C₈	—	2	1	no	—
377	C₈	—	83	2	no	—
378	C₈	—	166	1	no	—
379	C₈	D₄×D₈₃	1	2	yes	—
380	C₂²	—	2	1	no	—
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	4	1	no	—
384	C₂²	—	4	1	no	—
385	C₂²	—	4	1	no	—
386	C₂²	—	4	1	no	—
387	C₂²	—	4	1	no	—
388	C₂²	—	4	1	no	—
389	C₂²	—	332	1	no	—
390	C₂²	—	332	1	no	—
391	C₂²	—	332	1	no	—
392	C₂²	—	83	2	no	—
393	C₂²	—	664	4	no	—
394	C₂²	—	166	1	no	—
395	C₂²	—	166	1	no	—
396	C₂²	—	166	1	no	—
397	C₂²	—	166	1	no	—
398	C₂²	—	166	1	no	—
399	C₂²	C₂×D₄×D₈₃	1	1	yes	characteristic
400	C₄	—	2	1	no	—
401	C₄	—	4	1	no	—
402	C₄	—	4	1	no	—
403	C₄	—	332	1	no	—
404	C₄	—	332	1	no	—
405	C₄	—	332	1	no	—
406	C₄	—	83	2	no	—
407	C₄	—	166	1	no	—
408	C₄	C₂×D₄×D₈₃	1	1	yes	characteristic
409	C₄	#41×D₈₃	1	1	yes	characteristic
410	C₂	—	4	1	no	—
411	C₂	—	8	1	no	—
412	C₂	—	8	1	no	—
413	C₂	—	332	1	no	—
414	C₂	—	664	1	no	—
415	C₂	—	166	2	no	—
416	C₂	#121×D₈₃	1	1	yes	characteristic
417	C₂	#19128505	1	1	yes	characteristic
418	C₂	#19128511	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₈₃
commutator, cosocle	C₂×C₄×C₈₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₈₃
Fitting	#469×C₈₃	C₂
socle	C₂²×C₈₃	C₂²×D₄
hypercenter	#469	D₈₃
hypocenter	C₈₃	#3062
LCS	G ▷ C₂×C₄×C₈₃ ▷ C₂×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #469

Complements

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

N	H ≅ G/N	type
1. C₂×#14581816	C₂	semidirect
2. C₂×#14581800	C₂	semidirect
3. #19128280	C₂	semidirect
4. #19128267	C₂	semidirect
5. #19127953	C₂	semidirect
6. #19127947	C₂	semidirect
7. #19127946	C₂	semidirect
8. #19127935	C₂	semidirect
9. #19127934	C₂	semidirect
10. #19127931	C₂	semidirect
11. #19127928	C₂	semidirect
12. #19127740	C₂	semidirect
13. #19127694	C₂	semidirect
14. #102×D₈₃	C₂	semidirect
15. #469×C₈₃	C₂	semidirect
25. C₂×#13050573	C₂²	semidirect
26. C₂²×C₈₃⋊C₈	C₂²	semidirect
28. C₂×C₈×D₈₃	C₂²	semidirect
31. #14581772	C₂²	semidirect
32. #14581771	C₂²	semidirect
40. #14581763	C₂²	semidirect
45. #14581726	C₂²	semidirect
46. #14581725	C₂²	semidirect
47. #14581723	C₂²	semidirect
48. #14581717	C₂²	semidirect
49. #14581715	C₂²	semidirect
52. #14581713	C₂²	semidirect
55. C₂×M₁₆×C₈₃	C₂²	semidirect
57. #121×C₈₃	C₂²	semidirect
58. #106×C₈₃	C₂²	semidirect
60. #102×C₈₃	C₂²	semidirect
88. #13050573	D₄	semidirect
210. C₈₃	#3062	semidirect
216. #469	D₈₃	semidirect
237. C₂×M₁₆	C₂×D₈₃	semidirect
254. #121	C₂×D₈₃	semidirect
262. #106	C₂×D₈₃	semidirect
270. #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
C₂×#14581816	2
C₂×#14581800	2
#19128280	2
#19128267	2
#19127953	2
#19127947	2
#19127946	2
#19127935	2
#19127934	2
#19127931	2
#19127928	2
#19127740	2
#19127694	2
#102×D₈₃	2
#469×C₈₃	2
#3062	83