Subgroups — #24919280

Order 10624.

462 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19128409	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×C₂²⋊D₈₃	C₂	1	1	yes	maximal, characteristic
3	#19128046	C₂	1	1	yes	maximal, characteristic, complemented
4	#19128020	C₂	1	1	yes	maximal, characteristic, complemented
5	#19128018	C₂	1	1	yes	maximal, characteristic, complemented
6	#19127989	C₂	1	1	yes	maximal, characteristic, complemented
7	#19127932	C₂	1	1	yes	maximal, characteristic, complemented
8	#19127927	C₂	1	1	yes	maximal, characteristic, complemented
9	#19127899	C₂	1	1	yes	maximal, characteristic, complemented
10	#19127850	C₂	1	1	yes	maximal, characteristic, complemented
11	SD₁₆×Dic₈₃	C₂	1	1	yes	maximal, characteristic, complemented
12	(C₂²⋊D₈₃)⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14581713	C₂	1	1	yes	maximal, characteristic, complemented
14	#102×D₈₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#450×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₂²⋊D₈₃	—	2	1	no	—
17	C₂×D₄×D₈₃	C₂²	1	1	yes	characteristic
18	C₂×#13050577	C₂²	1	1	yes	characteristic, complemented
19	C₂²×C₈₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
20	C₂×C₈×D₈₃	C₂²	1	1	yes	characteristic, complemented
21	#14581791	C₂²	1	1	yes	characteristic, complemented
22	#14581788	C₂²	1	1	yes	characteristic
23	#14581782	—	2	1	no	—
24	#14581772	—	2	1	no	—
25	#14581769	—	2	1	no	—
26	#14581768	C₂²	1	1	yes	characteristic, complemented
27	#14581766	C₂²	1	1	yes	characteristic
28	#14581764	—	2	1	no	—
29	#14581763	C₂²	1	1	yes	characteristic
30	#14581761	—	2	1	no	—
31	#14581760	—	2	1	no	—
32	Q₈×Dic₈₃	C₂²	1	1	yes	characteristic, complemented
33	D₄×Dic₈₃	C₂²	1	1	yes	characteristic
34	C₄×C₂²⋊D₈₃	C₂²	1	1	yes	characteristic
35	(C₂²⋊D₈₃)⋊C₄	—	2	1	no	—
36	C₂×C₄⋊Dic₈₃	C₂²	1	1	yes	characteristic, complemented
37	C₄⋊C₄×D₈₃	C₂²	1	1	yes	characteristic, complemented
38	#14581724	C₂²	1	1	yes	characteristic, complemented
39	#14581724	C₂²	1	1	yes	characteristic, complemented
40	#14581723	C₂²	1	1	yes	characteristic, complemented
41	Dic₈₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
42	#14581716	C₂²	1	1	yes	characteristic, complemented
43	#14581714	C₂²	1	1	yes	characteristic, complemented
44	#14581714	C₂²	1	1	yes	characteristic, complemented
45	#14581713	C₂²	1	1	yes	characteristic
46	#14581713	C₂²	1	1	yes	characteristic
47	#14581713	C₂²	1	1	yes	characteristic, complemented
48	#14581713	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	C₈×Dic₈₃	C₂²	1	1	yes	characteristic, complemented
52	C₂²×D₄×C₈₃	C₂²	1	1	yes	characteristic
53	C₂×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic
54	C₂×SD₁₆×C₈₃	C₂²	1	1	yes	characteristic, complemented
55	C₂²⋊Q₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
56	#102×C₈₃	C₂²	1	1	yes	characteristic
57	#102×C₈₃	C₂²	1	1	yes	characteristic, complemented
58	C₂²⋊C₈×C₈₃	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₈₃	—	2	1	no	—
60	C₂×Dic₁₆₆	—	2	1	no	—
61	C₂×D₃₃₂	C₂³	1	1	yes	characteristic
62	C₂×C₂²⋊D₈₃	—	2	1	no	—
63	C₂×C₂²⋊D₈₃	—	2	1	no	—
64	C₂×C₂²⋊D₈₃	—	2	1	no	—
65	C₂×C₂²⋊D₈₃	—	2	1	no	—
66	C₂×C₂²⋊D₈₃	—	2	1	no	—
67	C₂×C₂²⋊D₈₃	—	4	4	no	—
68	C₂×C₂²⋊D₈₃	D₄	1	1	yes	characteristic
69	D₄×D₈₃	—	2	2	no	—
70	D₄×D₈₃	—	4	1	no	—
71	C₂²×Dic₈₃	—	2	1	no	—
72	C₂²×Dic₈₃	—	2	1	no	—
73	C₂×C₄×D₈₃	—	2	1	no	—
74	C₂×C₄×D₈₃	C₂³	1	1	yes	characteristic
75	#13050577	—	4	1	no	—
76	C₂×C₈₃⋊C₈	—	4	1	no	—
77	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
78	C₂×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
79	C₈×D₈₃	—	4	1	no	—
80	C₄⋊Dic₈₃	—	2	1	no	—
81	C₄⋊Dic₈₃	—	2	1	no	—
82	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
83	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
84	C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
85	Dic₈₃⋊C₄	—	2	1	no	—
86	Dic₈₃⋊C₄	—	2	1	no	—
87	Dic₈₃⋊C₄	—	2	1	no	—
88	Dic₈₃⋊C₄	D₄	1	1	yes	characteristic
89	C₂²⋊Dic₈₃	—	2	1	no	—
90	C₂²⋊Dic₈₃	—	2	1	no	—
91	C₂²⋊Dic₈₃	D₄	1	1	yes	characteristic
92	(C₂×D₈₃)⋊C₄	—	2	1	no	—
93	(C₂×D₈₃)⋊C₄	—	2	1	no	—
94	(C₂×D₈₃)⋊C₄	D₄	1	1	yes	characteristic
95	C₄×Dic₈₃	—	2	1	no	—
96	C₄×Dic₈₃	C₂³	1	1	yes	characteristic
97	C₂⁴×C₈₃	—	2	1	no	—
98	C₂×Q₈×C₈₃	C₂³	1	1	yes	characteristic
99	C₂×D₄×C₈₃	—	2	2	no	—
100	C₂×D₄×C₈₃	—	2	1	no	—
101	C₂×D₄×C₈₃	—	4	1	no	—
102	C₂×D₄×C₈₃	C₂³	1	1	yes	characteristic
103	C₂×D₄×C₈₃	C₂³	1	1	yes	characteristic
104	C₂²×C₄×C₈₃	C₂³	1	1	yes	characteristic
105	SD₁₆×C₈₃	—	2	2	no	—
106	SD₁₆×C₈₃	—	4	1	no	—
107	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
108	C₂×C₈×C₈₃	C₂³	1	1	yes	characteristic
109	C₄⋊C₄×C₈₃	—	2	1	no	—
110	C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
111	C₂²⋊C₄×C₈₃	—	2	1	no	—
112	C₂³×C₈₃	—	2	1	no	—
113	C₂³×C₈₃	—	2	1	no	—
114	C₂³×C₈₃	—	4	2	no	—
115	C₂³×C₈₃	—	4	2	no	—
116	C₂³×C₈₃	—	8	1	no	—
117	C₂³×C₈₃	C₂×D₄	1	1	yes	characteristic
118	C₂²×D₈₃	—	2	1	no	—
119	C₂²×D₈₃	—	4	2	no	—
120	C₂²×D₈₃	—	4	2	no	—
121	C₂²×D₈₃	—	8	1	no	—
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	—	2	1	no	—
127	D₄×C₈₃	—	2	1	no	—
128	D₄×C₈₃	—	4	2	no	—
129	D₄×C₈₃	#41	1	2	yes	—
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	—	4	2	no	—
137	C₂²⋊D₈₃	—	4	2	no	—
138	C₂²⋊D₈₃	—	4	2	no	—
139	C₂²⋊D₈₃	—	4	2	no	—
140	C₂²⋊D₈₃	—	8	1	no	—
141	C₂²⋊D₈₃	SD₁₆	1	4	yes	complemented
142	C₂×Dic₈₃	—	2	1	no	—
143	C₂×Dic₈₃	—	2	1	no	—
144	C₂×Dic₈₃	—	2	1	no	—
145	C₂×Dic₈₃	—	4	2	no	—
146	C₂×Dic₈₃	—	8	1	no	—
147	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
148	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
149	C₂×Dic₈₃	C₂×D₄	1	1	yes	characteristic
150	D₃₃₂	—	2	1	no	—
151	D₃₃₂	—	2	1	no	—
152	C₄×D₈₃	—	2	1	no	—
153	C₄×D₈₃	—	2	1	no	—
154	C₄×D₈₃	—	8	1	no	—
155	Dic₁₆₆	—	8	1	no	—
156	C₈×C₈₃	—	2	1	no	—
157	C₈×C₈₃	—	2	1	no	—
158	C₈₃⋊C₈	—	2	1	no	—
159	C₈₃⋊C₈	—	2	1	no	—
160	C₂²×C₈₃	—	2	1	no	—
161	C₂²×C₈₃	—	2	1	no	—
162	C₂²×C₈₃	—	2	2	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	—	8	4	no	—
169	C₂²×C₈₃	C₂×SD₁₆	1	2	yes	—
170	C₂²×C₈₃	C₂²×D₄	1	1	yes	characteristic
171	C₂×D₈₃	—	2	1	no	—
172	C₂×D₈₃	—	2	1	no	—
173	C₂×D₈₃	—	4	1	no	—
174	C₂×D₈₃	—	4	1	no	—
175	C₂×D₈₃	—	4	1	no	—
176	C₂×D₈₃	—	8	4	no	—
177	C₂×D₈₃	C₂×SD₁₆	1	2	yes	—
178	C₄×C₈₃	—	2	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	Dic₈₃	—	4	1	no	—
188	Dic₈₃	C₂×SD₁₆	1	2	yes	—
189	C₂×C₈₃	—	2	2	no	—
190	C₂×C₈₃	—	4	2	no	—
191	C₂×C₈₃	—	8	1	no	—
192	C₂×C₈₃	#546	1	1	yes	characteristic
193	C₂×C₈₃	C₂²×SD₁₆	1	1	yes	characteristic
194	C₂×C₈₃	#576	1	1	yes	characteristic
195	D₈₃	—	2	2	no	—
196	D₈₃	—	8	1	no	—
197	#3295	—	83	1	no	maximal, Sylow
198	C₈₃	#3295	1	1	yes	characteristic, complemented, Sylow
199	#554	—	83	1	no	—
200	D₄²	—	83	1	no	—
201	#486	—	83	1	no	—
202	#481	—	83	1	no	—
203	#481	—	83	1	no	—
204	#476	—	83	1	no	—
205	#465	—	83	1	no	—
206	#465	—	83	1	no	—
207	#460	—	83	1	no	—
208	#450	—	83	1	no	—
209	#450	D₈₃	1	1	yes	characteristic, complemented
210	C₄×SD₁₆	—	83	1	no	—
211	C₈×D₄	—	83	1	no	—
212	C₂×#102	—	83	1	no	—
213	C₂×#102	—	83	1	no	—
214	C₂²×D₄	—	83	1	no	—
215	C₂²×D₄	—	166	1	no	—
216	C₂²×D₄	C₂×D₈₃	1	1	yes	characteristic
217	C₂×SD₁₆	—	83	1	no	—
218	C₂×SD₁₆	C₂×D₈₃	1	1	yes	characteristic
219	C₂×SD₁₆	C₂×D₈₃	1	1	yes	characteristic, complemented
220	C₂²×C₈	—	83	1	no	—
221	C₂²×C₈	—	83	1	no	—
222	C₄⋊Q₈	—	83	1	no	—
223	#127	—	83	1	no	—
224	#125	—	166	1	no	—
225	C₂²⋊Q₈	—	83	1	no	—
226	C₂²⋊Q₈	—	166	1	no	—
227	C₂²⋊Q₈	—	166	1	no	—
228	C₂²⋊Q₈	C₂×D₈₃	1	1	yes	characteristic, complemented
229	#121	—	83	1	no	—
230	#121	—	83	1	no	—
231	#121	—	166	1	no	—
232	#120	—	166	1	no	—
233	#120	—	166	1	no	—
234	C₄×Q₈	—	83	1	no	—
235	C₄×D₄	—	83	1	no	—
236	C₄×D₄	—	83	1	no	—
237	C₄×D₄	—	166	1	no	—
238	C₂×C₄⋊C₄	—	83	1	no	—
239	C₂×C₄⋊C₄	—	83	1	no	—
240	#106	—	83	1	no	—
241	#106	—	83	1	no	—
242	#106	—	83	1	no	—
243	C₄⋊C₈	—	83	1	no	—
244	#103	—	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	—	83	1	no	—
252	#102	C₂×D₈₃	1	1	yes	characteristic
253	#102	C₂×D₈₃	1	1	yes	characteristic, complemented
254	C₂²⋊C₈	—	83	1	no	—
255	C₂²⋊C₈	C₂×D₈₃	1	1	yes	characteristic, complemented
256	C₄×C₈	—	83	1	no	—
257	C₂⁴	—	2	1	no	—
258	C₂⁴	—	166	1	no	—
259	C₂×Q₈	—	166	1	no	—
260	C₂×Q₈	C₂²×D₈₃	1	1	yes	characteristic
261	C₂×D₄	—	2	2	no	—
262	C₂×D₄	—	2	1	no	—
263	C₂×D₄	—	4	1	no	—
264	C₂×D₄	—	332	4	no	—
265	C₂×D₄	—	332	1	no	—
266	C₂×D₄	—	83	1	no	—
267	C₂×D₄	—	83	1	no	—
268	C₂×D₄	—	166	1	no	—
269	C₂×D₄	—	166	1	no	—
270	C₂×D₄	—	166	1	no	—
271	C₂×D₄	—	166	1	no	—
272	C₂×D₄	—	166	1	no	—
273	C₂×D₄	—	166	2	no	—
274	C₂×D₄	C₂²×D₈₃	1	1	yes	characteristic
275	C₂×D₄	C₂²×D₈₃	1	1	yes	characteristic
276	C₂²×C₄	—	83	1	no	—
277	C₂²×C₄	—	166	1	no	—
278	C₂²×C₄	—	166	1	no	—
279	C₂²×C₄	—	166	1	no	—
280	C₂²×C₄	C₂²×D₈₃	1	1	yes	characteristic
281	SD₁₆	—	2	2	no	—
282	SD₁₆	—	4	1	no	—
283	SD₁₆	—	332	1	no	—
284	C₂×C₈	—	332	1	no	—
285	C₂×C₈	—	332	1	no	—
286	C₂×C₈	—	83	1	no	—
287	C₂×C₈	—	83	1	no	—
288	C₂×C₈	C₂²×D₈₃	1	1	yes	characteristic
289	C₂×C₈	C₂²×D₈₃	1	1	yes	characteristic
290	C₄⋊C₄	—	2	1	no	—
291	C₄⋊C₄	—	83	1	no	—
292	C₄⋊C₄	—	83	1	no	—
293	C₄⋊C₄	—	83	1	no	—
294	C₄⋊C₄	—	83	1	no	—
295	C₄⋊C₄	—	166	1	no	—
296	C₄⋊C₄	—	166	1	no	—
297	C₄⋊C₄	—	166	1	no	—
298	C₄⋊C₄	—	166	1	no	—
299	C₄⋊C₄	—	166	1	no	—
300	C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
301	C₂²⋊C₄	—	2	1	no	—
302	C₂²⋊C₄	—	83	1	no	—
303	C₂²⋊C₄	—	83	1	no	—
304	C₂²⋊C₄	—	166	1	no	—
305	C₂²⋊C₄	—	166	1	no	—
306	C₂²⋊C₄	—	166	1	no	—
307	C₂²⋊C₄	—	166	1	no	—
308	C₄²	—	83	1	no	—
309	C₄²	—	166	1	no	—
310	C₂³	—	2	1	no	—
311	C₂³	—	2	1	no	—
312	C₂³	—	4	2	no	—
313	C₂³	—	4	2	no	—
314	C₂³	—	8	1	no	—
315	C₂³	—	332	2	no	—
316	C₂³	—	332	2	no	—
317	C₂³	—	83	1	no	—
318	C₂³	—	664	1	no	—
319	C₂³	—	166	1	no	—
320	C₂³	D₄×D₈₃	1	1	yes	characteristic
321	Q₈	—	2	1	no	—
322	Q₈	—	2	1	no	—
323	Q₈	—	664	1	no	—
324	D₄	—	2	1	no	—
325	D₄	—	2	1	no	—
326	D₄	—	2	1	no	—
327	D₄	—	4	2	no	—
328	D₄	—	332	2	no	—
329	D₄	—	332	2	no	—
330	D₄	—	332	2	no	—
331	D₄	—	332	2	no	—
332	D₄	—	83	4	no	—
333	D₄	—	664	1	no	—
334	D₄	—	166	1	no	—
335	D₄	—	166	1	no	—
336	D₄	#13050589	1	2	yes	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	332	2	no	—
342	C₂×C₄	—	83	1	no	—
343	C₂×C₄	—	83	1	no	—
344	C₂×C₄	—	83	1	no	—
345	C₂×C₄	—	664	1	no	—
346	C₂×C₄	—	664	1	no	—
347	C₂×C₄	—	166	1	no	—
348	C₂×C₄	—	166	1	no	—
349	C₂×C₄	—	166	1	no	—
350	C₂×C₄	—	166	1	no	—
351	C₂×C₄	—	166	1	no	—
352	C₂×C₄	D₄×D₈₃	1	1	yes	characteristic
353	C₂×C₄	C₂³×D₈₃	1	1	yes	characteristic
354	C₈	—	2	1	no	—
355	C₈	—	2	1	no	—
356	C₈	—	166	1	no	—
357	C₈	—	166	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	2	2	no	—
361	C₂²	—	4	1	no	—
362	C₂²	—	4	1	no	—
363	C₂²	—	4	1	no	—
364	C₂²	—	4	1	no	—
365	C₂²	—	4	1	no	—
366	C₂²	—	8	4	no	—
367	C₂²	—	332	1	no	—
368	C₂²	—	332	1	no	—
369	C₂²	—	332	1	no	—
370	C₂²	—	83	2	no	—
371	C₂²	—	664	4	no	—
372	C₂²	—	166	1	no	—
373	C₂²	—	166	1	no	—
374	C₂²	SD₁₆×D₈₃	1	2	yes	—
375	C₂²	C₂×D₄×D₈₃	1	1	yes	characteristic
376	C₄	—	2	1	no	—
377	C₄	—	4	1	no	—
378	C₄	—	4	1	no	—
379	C₄	—	332	1	no	—
380	C₄	—	332	1	no	—
381	C₄	—	332	1	no	—
382	C₄	—	83	2	no	—
383	C₄	—	166	1	no	—
384	C₄	—	166	1	no	—
385	C₄	C₂×#13050589	1	1	yes	characteristic
386	C₄	#14581837	1	1	yes	characteristic
387	C₂	—	2	2	no	—
388	C₂	—	4	2	no	—
389	C₂	—	8	1	no	—
390	C₂	—	664	1	no	—
391	C₂	—	166	2	no	—
392	C₂	#19128338	1	1	yes	characteristic
393	C₂	C₂×SD₁₆×D₈₃	1	1	yes	characteristic
394	C₂	#19128505	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₈₃
commutator, cosocle	C₂×C₄×C₈₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₈₃
Fitting	#450×C₈₃	C₂
socle	C₂²×C₈₃	C₂²×D₄
prime radical	D₄×C₂²⋊D₈₃	C₂
hypercenter	#450	D₈₃
hypocenter	C₈₃	#3295
LCS	G ▷ C₂×C₄×C₈₃ ▷ C₂×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #450

Complements

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

N	H ≅ G/N	type
1. #19128409	C₂	semidirect
3. #19128046	C₂	semidirect
4. #19128020	C₂	semidirect
5. #19128018	C₂	semidirect
6. #19127989	C₂	semidirect
7. #19127932	C₂	semidirect
8. #19127927	C₂	semidirect
9. #19127899	C₂	semidirect
10. #19127850	C₂	semidirect
11. SD₁₆×Dic₈₃	C₂	semidirect
12. (C₂²⋊D₈₃)⋊C₈	C₂	semidirect
13. C₂×#14581713	C₂	semidirect
14. #102×D₈₃	C₂	semidirect
15. #450×C₈₃	C₂	semidirect
18. C₂×#13050577	C₂²	semidirect
19. C₂²×C₈₃⋊C₈	C₂²	semidirect
20. C₂×C₈×D₈₃	C₂²	semidirect
21. #14581791	C₂²	semidirect
26. #14581768	C₂²	semidirect
32. Q₈×Dic₈₃	C₂²	semidirect
36. C₂×C₄⋊Dic₈₃	C₂²	semidirect
37. C₄⋊C₄×D₈₃	C₂²	semidirect
38. #14581724	C₂²	semidirect
39. #14581724	C₂²	semidirect
40. #14581723	C₂²	semidirect
41. Dic₈₃⋊C₈	C₂²	semidirect
42. #14581716	C₂²	semidirect
43. #14581714	C₂²	semidirect
44. #14581714	C₂²	semidirect
47. #14581713	C₂²	semidirect
48. #14581713	C₂²	semidirect
49. #14581712	C₂²	semidirect
50. (C₂×D₈₃)⋊C₈	C₂²	semidirect
51. C₈×Dic₈₃	C₂²	semidirect
54. C₂×SD₁₆×C₈₃	C₂²	semidirect
55. C₂²⋊Q₈×C₈₃	C₂²	semidirect
57. #102×C₈₃	C₂²	semidirect
58. C₂²⋊C₈×C₈₃	C₂²	semidirect
141. C₂²⋊D₈₃	SD₁₆	semidirect
198. C₈₃	#3295	semidirect
209. #450	D₈₃	semidirect
219. C₂×SD₁₆	C₂×D₈₃	semidirect
228. C₂²⋊Q₈	C₂×D₈₃	semidirect
253. #102	C₂×D₈₃	semidirect
255. C₂²⋊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
#19128409	2
D₄×C₂²⋊D₈₃	2
#19128046	2
#19128020	2
#19128018	2
#19127989	2
#19127932	2
#19127927	2
#19127899	2
#19127850	2
SD₁₆×Dic₈₃	2
(C₂²⋊D₈₃)⋊C₈	2
C₂×#14581713	2
#102×D₈₃	2
#450×C₈₃	2
#3295	83