Subgroups — #2263×D₇₉ #34446399

Order 20224.

502 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#508×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₆×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#23765715	C₂	1	1	yes	maximal, characteristic, complemented
4	#23765714	C₂	1	2	yes	maximal, complemented
5	#23765713	C₂	1	1	yes	maximal, characteristic, complemented
6	#23765712	C₂	1	1	yes	maximal, characteristic, complemented
7	#23765711	C₂	1	2	yes	maximal, complemented
8	SD₆₄×D₇₉	C₂	1	2	yes	maximal, complemented
9	D₃₂×D₇₉	C₂	1	2	yes	maximal, complemented
10	M₆₄×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₉×#2263	C₂	1	1	yes	maximal, characteristic, complemented
12	#135×D₇₉	—	2	1	no	—
13	C₂×D₈×D₇₉	—	2	1	no	—
14	#19098996	C₂²	1	1	yes	characteristic, complemented
15	#19098995	C₂²	1	1	yes	characteristic, complemented
16	#19098994	—	2	1	no	—
17	#19098993	—	2	1	no	—
18	#19098992	C₂²	1	1	yes	characteristic, complemented
19	Q₃₂×D₇₉	C₂²	1	1	yes	characteristic, complemented
20	SD₃₂×D₇₉	—	2	1	no	—
21	C₂×D₁₂₆₄	C₂²	1	1	yes	characteristic, complemented
22	C₂×#14579102	—	2	1	no	—
23	D₁₆×D₇₉	—	2	1	no	—
24	D₁₆×D₇₉	—	2	1	no	—
25	D₁₆×D₇₉	C₂²	1	2	yes	—
26	D₁₆×D₇₉	C₂²	1	2	yes	complemented
27	D₁₆×D₇₉	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₆×D₇₉	C₂²	1	1	yes	characteristic
29	#19098402	C₂²	1	2	yes	complemented
30	#19098401	C₂²	1	2	yes	complemented
31	#19098400	C₂²	1	2	yes	complemented
32	D₂₅₂₈	C₂²	1	2	yes	complemented
33	#19098398	C₂²	1	2	yes	complemented
34	#19098398	C₂²	1	2	yes	complemented
35	#19098397	C₂²	1	1	yes	characteristic, complemented
36	#19098396	C₂²	1	2	yes	complemented
37	C₃₂×D₇₉	C₂²	1	2	yes	complemented
38	#508×C₇₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
40	SD₆₄×C₇₉	C₂²	1	2	yes	complemented
41	D₃₂×C₇₉	C₂²	1	2	yes	complemented
42	M₆₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
43	#41×D₇₉	—	4	1	no	—
44	C₂×D₄×D₇₉	—	4	1	no	—
45	#14579184	—	2	1	no	—
46	#14579183	—	2	1	no	—
47	#14579182	—	4	1	no	—
48	#14579181	—	4	1	no	—
49	#14579180	—	2	1	no	—
50	Q₁₆×D₇₉	—	2	1	no	—
51	SD₁₆×D₇₉	—	4	1	no	—
52	C₂×D₆₃₂	—	2	1	no	—
53	C₂×#11929609	—	4	1	no	—
54	D₈×D₇₉	—	2	2	no	—
55	D₈×D₇₉	—	2	2	no	—
56	D₈×D₇₉	—	2	1	no	—
57	D₈×D₇₉	—	4	1	no	—
58	D₈×D₇₉	—	4	1	no	—
59	C₂×C₈×D₇₉	D₄	1	1	yes	characteristic
60	Dic₆₃₂	C₂³	1	1	yes	characteristic, complemented
61	#14579107	—	2	1	no	—
62	#14579106	—	2	1	no	—
63	#14579105	—	2	1	no	—
64	#14579104	—	2	1	no	—
65	D₁₂₆₄	—	2	1	no	—
66	D₁₂₆₄	C₂³	1	2	yes	—
67	D₁₂₆₄	C₂³	1	1	yes	characteristic, complemented
68	#14579102	—	2	2	no	—
69	#14579102	—	2	2	no	—
70	#14579102	—	2	1	no	—
71	C₂×C₇₉⋊C₁₆	D₄	1	1	yes	characteristic
72	C₁₆×D₇₉	D₄	1	1	yes	characteristic
73	C₁₆×D₇₉	D₄	1	1	yes	characteristic
74	C₁₆×D₇₉	C₂³	1	1	yes	characteristic
75	C₁₆×D₇₉	C₂³	1	1	yes	characteristic
76	C₇₉⋊C₃₂	C₂³	1	2	yes	complemented
77	#135×C₇₉	—	2	1	no	—
78	C₂×D₈×C₇₉	—	2	1	no	—
79	Q₃₂×C₇₉	C₂³	1	1	yes	characteristic, complemented
80	SD₃₂×C₇₉	—	2	1	no	—
81	D₁₆×C₇₉	—	2	1	no	—
82	D₁₆×C₇₉	C₂³	1	2	yes	—
83	D₁₆×C₇₉	C₂³	1	1	yes	characteristic, complemented
84	C₂×C₁₆×C₇₉	C₂³	1	1	yes	characteristic
85	C₃₂×C₇₉	C₂³	1	2	yes	complemented
86	C₂³×D₇₉	—	8	1	no	—
87	#11929625	—	4	1	no	—
88	#11929624	—	4	1	no	—
89	#11929624	—	8	1	no	—
90	#11929623	—	4	1	no	—
91	#11929623	—	8	1	no	—
92	Q₈×D₇₉	—	4	1	no	—
93	C₂×D₃₁₆	—	4	1	no	—
94	C₂×C₂²⋊D₇₉	—	8	1	no	—
95	D₄×D₇₉	—	4	1	no	—
96	D₄×D₇₉	—	4	2	no	—
97	D₄×D₇₉	—	4	2	no	—
98	D₄×D₇₉	—	8	1	no	—
99	D₄×D₇₉	—	8	1	no	—
100	D₄×D₇₉	—	8	1	no	—
101	C₂×C₄×D₇₉	—	8	1	no	—
102	C₂×C₄×D₇₉	D₈	1	1	yes	characteristic
103	Dic₃₁₆	—	2	1	no	—
104	#11929614	—	4	1	no	—
105	#11929613	—	4	1	no	—
106	#11929612	—	4	1	no	—
107	#11929611	—	4	1	no	—
108	D₆₃₂	—	2	2	no	—
109	D₆₃₂	—	2	1	no	—
110	D₆₃₂	—	4	1	no	—
111	#11929609	—	4	2	no	—
112	#11929609	—	4	2	no	—
113	#11929609	—	4	1	no	—
114	C₂×C₇₉⋊C₈	D₈	1	1	yes	characteristic
115	C₈×D₇₉	D₈	1	1	yes	characteristic
116	C₈×D₇₉	D₈	1	1	yes	characteristic
117	C₈×D₇₉	C₂×D₄	1	1	yes	characteristic
118	C₈×D₇₉	C₂×D₄	1	1	yes	characteristic
119	C₇₉⋊C₁₆	C₂×D₄	1	1	yes	characteristic
120	C₇₉⋊C₁₆	C₂×D₄	1	1	yes	characteristic
121	#41×C₇₉	—	4	1	no	—
122	C₂×D₄×C₇₉	—	4	1	no	—
123	Q₁₆×C₇₉	—	2	1	no	—
124	SD₁₆×C₇₉	—	4	1	no	—
125	D₈×C₇₉	—	2	2	no	—
126	D₈×C₇₉	—	2	1	no	—
127	D₈×C₇₉	—	4	1	no	—
128	C₂×C₈×C₇₉	C₂×D₄	1	1	yes	characteristic
129	C₁₆×C₇₉	C₂×D₄	1	1	yes	characteristic
130	C₁₆×C₇₉	C₂⁴	1	1	yes	characteristic
131	C₂³×C₇₉	—	8	1	no	—
132	C₂²×D₇₉	—	8	1	no	—
133	C₂²×D₇₉	—	8	1	no	—
134	C₂²×D₇₉	—	8	2	no	—
135	C₂²×D₇₉	—	8	2	no	—
136	C₂²×D₇₉	—	16	4	no	—
137	C₂²×D₇₉	D₁₆	1	1	yes	characteristic
138	Q₈×C₇₉	—	4	1	no	—
139	D₄×C₇₉	—	4	2	no	—
140	D₄×C₇₉	—	4	1	no	—
141	D₄×C₇₉	—	8	1	no	—
142	D₄×C₇₉	—	8	1	no	—
143	C₂×C₄×C₇₉	—	8	1	no	—
144	C₂×C₄×C₇₉	C₂×D₈	1	1	yes	characteristic
145	C₂²⋊D₇₉	—	8	1	no	—
146	C₂²⋊D₇₉	—	8	1	no	—
147	C₂²⋊D₇₉	—	8	2	no	—
148	C₂²⋊D₇₉	—	8	2	no	—
149	C₂²⋊D₇₉	—	8	1	no	—
150	C₂×Dic₇₉	—	8	1	no	—
151	C₂×Dic₇₉	D₁₆	1	1	yes	characteristic
152	D₃₁₆	—	4	2	no	—
153	D₃₁₆	—	4	1	no	—
154	D₃₁₆	—	8	1	no	—
155	D₃₁₆	—	8	1	no	—
156	C₄×D₇₉	—	8	1	no	—
157	C₄×D₇₉	—	8	1	no	—
158	C₄×D₇₉	—	8	1	no	—
159	C₄×D₇₉	D₁₆	1	1	yes	characteristic
160	C₄×D₇₉	D₁₆	1	1	yes	characteristic
161	C₄×D₇₉	C₂×D₈	1	1	yes	characteristic
162	C₄×D₇₉	C₂×D₈	1	1	yes	characteristic
163	Dic₁₅₈	—	4	1	no	—
164	Dic₁₅₈	—	8	1	no	—
165	C₈×C₇₉	C₂×D₈	1	1	yes	characteristic
166	C₈×C₇₉	C₂²×D₄	1	1	yes	characteristic
167	C₇₉⋊C₈	C₂×D₈	1	1	yes	characteristic
168	C₇₉⋊C₈	C₂×D₈	1	1	yes	characteristic
169	C₂²×C₇₉	—	8	1	no	—
170	C₂²×C₇₉	—	8	2	no	—
171	C₂²×C₇₉	—	16	2	no	—
172	C₂²×C₇₉	C₂×D₁₆	1	1	yes	characteristic
173	C₂×D₇₉	—	2	2	no	—
174	C₂×D₇₉	—	8	2	no	—
175	C₂×D₇₉	—	8	1	no	—
176	C₂×D₇₉	—	16	4	no	—
177	C₂×D₇₉	—	16	2	no	—
178	C₂×D₇₉	—	16	2	no	—
179	C₂×D₇₉	—	16	4	no	—
180	C₂×D₇₉	C₂×D₁₆	1	1	yes	characteristic
181	C₂×D₇₉	C₂×D₁₆	1	1	yes	characteristic
182	C₄×C₇₉	—	8	1	no	—
183	C₄×C₇₉	C₂×D₁₆	1	1	yes	characteristic
184	C₄×C₇₉	C₂²×D₈	1	1	yes	characteristic
185	Dic₇₉	—	8	1	no	—
186	Dic₇₉	C₂×D₁₆	1	1	yes	characteristic
187	Dic₇₉	C₂×D₁₆	1	1	yes	characteristic
188	C₂×#2263	—	79	1	no	maximal, Sylow
189	C₂×C₇₉	—	2	1	no	—
190	C₂×C₇₉	—	16	2	no	—
191	C₂×C₇₉	—	16	1	no	—
192	C₂×C₇₉	C₂²×D₁₆	1	1	yes	characteristic
193	D₇₉	—	2	1	no	—
194	D₇₉	—	16	1	no	—
195	D₇₉	—	16	2	no	—
196	D₇₉	#2263	1	2	yes	direct product factor
197	C₂×#508	—	79	1	no	—
198	C₂²×D₁₆	—	79	1	no	—
199	#2263	—	79	1	no	—
200	#2263	—	79	1	no	—
201	#2263	—	79	2	no	—
202	#2263	—	79	2	no	—
203	#2263	—	79	1	no	—
204	#2263	D₇₉	1	1	yes	characteristic, direct product factor
205	C₂×SD₆₄	—	79	2	no	—
206	C₂×D₃₂	—	79	2	no	—
207	C₂×M₆₄	—	79	1	no	—
208	C₇₉	C₂×#2263	1	1	yes	characteristic, complemented, Sylow
209	C₂×#135	—	158	1	no	—
210	C₂²×D₈	—	158	1	no	—
211	#508	—	79	1	no	—
212	#508	—	79	1	no	—
213	#508	—	79	1	no	—
214	#508	—	158	1	no	—
215	#508	—	158	1	no	—
216	#508	C₂×D₇₉	1	1	yes	characteristic, complemented
217	C₂×Q₃₂	—	79	1	no	—
218	C₂×SD₃₂	—	158	1	no	—
219	C₂×D₁₆	—	79	2	no	—
220	C₂×D₁₆	—	79	2	no	—
221	C₂×D₁₆	—	79	1	no	—
222	C₂×D₁₆	—	79	1	no	—
223	C₂×D₁₆	—	158	1	no	—
224	C₂×D₁₆	—	158	1	no	—
225	C₂×D₁₆	—	158	1	no	—
226	C₂×D₁₆	C₂×D₇₉	1	1	yes	characteristic, complemented
227	C₂²×C₁₆	—	79	1	no	—
228	SD₆₄	—	79	2	no	—
229	SD₆₄	—	79	2	no	—
230	SD₆₄	—	79	2	no	—
231	SD₆₄	C₂×D₇₉	1	2	yes	complemented
232	D₃₂	—	79	2	no	—
233	D₃₂	—	79	2	no	—
234	D₃₂	—	79	2	no	—
235	D₃₂	C₂×D₇₉	1	2	yes	complemented
236	M₆₄	—	79	1	no	—
237	M₆₄	—	79	2	no	—
238	M₆₄	C₂×D₇₉	1	1	yes	characteristic, complemented
239	C₂×C₃₂	—	79	2	no	—
240	C₂×#41	—	316	1	no	—
241	C₂²×D₄	—	316	1	no	—
242	#135	—	2	1	no	—
243	#135	—	316	1	no	—
244	#135	—	316	1	no	—
245	#135	—	158	1	no	—
246	#135	—	158	1	no	—
247	#135	—	158	1	no	—
248	C₂×Q₁₆	—	158	1	no	—
249	C₂×SD₁₆	—	316	1	no	—
250	C₂×D₈	—	2	1	no	—
251	C₂×D₈	—	316	1	no	—
252	C₂×D₈	—	316	1	no	—
253	C₂×D₈	—	316	1	no	—
254	C₂×D₈	—	158	2	no	—
255	C₂×D₈	—	158	2	no	—
256	C₂×D₈	—	158	1	no	—
257	C₂×D₈	—	158	1	no	—
258	C₂²×C₈	—	79	1	no	—
259	Q₃₂	—	79	1	no	—
260	Q₃₂	—	158	1	no	—
261	Q₃₂	C₂²×D₇₉	1	1	yes	characteristic, complemented
262	SD₃₂	—	2	1	no	—
263	SD₃₂	—	158	1	no	—
264	SD₃₂	—	158	1	no	—
265	SD₃₂	—	158	1	no	—
266	D₁₆	—	2	1	no	—
267	D₁₆	—	79	1	no	—
268	D₁₆	—	79	2	no	—
269	D₁₆	—	158	2	no	—
270	D₁₆	—	158	2	no	—
271	D₁₆	—	158	1	no	—
272	D₁₆	—	158	1	no	—
273	D₁₆	C₂²×D₇₉	1	2	yes	—
274	D₁₆	C₂²×D₇₉	1	1	yes	characteristic, complemented
275	C₂×C₁₆	—	79	1	no	—
276	C₂×C₁₆	—	79	1	no	—
277	C₂×C₁₆	—	79	1	no	—
278	C₂×C₁₆	—	79	1	no	—
279	C₂×C₁₆	—	79	1	no	—
280	C₂×C₁₆	C₂²×D₇₉	1	1	yes	characteristic
281	C₃₂	—	79	2	no	—
282	C₃₂	C₂²×D₇₉	1	2	yes	complemented
283	C₂⁴	—	632	1	no	—
284	#41	—	4	1	no	—
285	#41	—	316	1	no	—
286	#41	—	316	1	no	—
287	#41	—	316	1	no	—
288	#41	—	632	1	no	—
289	#41	—	632	1	no	—
290	C₂×Q₈	—	316	1	no	—
291	C₂×D₄	—	4	1	no	—
292	C₂×D₄	—	316	2	no	—
293	C₂×D₄	—	316	2	no	—
294	C₂×D₄	—	316	1	no	—
295	C₂×D₄	—	316	1	no	—
296	C₂×D₄	—	632	1	no	—
297	C₂×D₄	—	632	1	no	—
298	C₂×D₄	—	632	1	no	—
299	C₂×D₄	—	632	1	no	—
300	C₂²×C₄	—	79	1	no	—
301	C₂²×C₄	—	632	1	no	—
302	Q₁₆	—	2	1	no	—
303	Q₁₆	—	316	1	no	—
304	Q₁₆	—	158	1	no	—
305	SD₁₆	—	4	1	no	—
306	SD₁₆	—	316	1	no	—
307	SD₁₆	—	316	1	no	—
308	SD₁₆	—	316	1	no	—
309	D₈	—	2	2	no	—
310	D₈	—	2	1	no	—
311	D₈	—	4	1	no	—
312	D₈	—	316	2	no	—
313	D₈	—	316	2	no	—
314	D₈	—	316	1	no	—
315	D₈	—	316	1	no	—
316	D₈	—	158	2	no	—
317	D₈	—	158	1	no	—
318	C₂×C₈	—	79	1	no	—
319	C₂×C₈	—	79	1	no	—
320	C₂×C₈	—	79	1	no	—
321	C₂×C₈	—	79	1	no	—
322	C₂×C₈	—	79	1	no	—
323	C₂×C₈	D₄×D₇₉	1	1	yes	characteristic
324	C₁₆	—	79	1	no	—
325	C₁₆	—	79	1	no	—
326	C₁₆	D₄×D₇₉	1	1	yes	characteristic
327	C₁₆	C₂³×D₇₉	1	1	yes	characteristic
328	C₂³	—	8	1	no	—
329	C₂³	—	79	1	no	—
330	C₂³	—	632	1	no	—
331	C₂³	—	632	2	no	—
332	C₂³	—	632	2	no	—
333	C₂³	—	632	1	no	—
334	C₂³	—	1264	4	no	—
335	Q₈	—	4	1	no	—
336	Q₈	—	316	1	no	—
337	Q₈	—	632	1	no	—
338	D₄	—	4	2	no	—
339	D₄	—	4	1	no	—
340	D₄	—	8	1	no	—
341	D₄	—	8	1	no	—
342	D₄	—	316	2	no	—
343	D₄	—	316	1	no	—
344	D₄	—	632	1	no	—
345	D₄	—	632	2	no	—
346	D₄	—	632	2	no	—
347	D₄	—	632	1	no	—
348	D₄	—	632	1	no	—
349	D₄	—	632	1	no	—
350	D₄	—	632	1	no	—
351	C₂×C₄	—	8	1	no	—
352	C₂×C₄	—	79	1	no	—
353	C₂×C₄	—	79	1	no	—
354	C₂×C₄	—	79	1	no	—
355	C₂×C₄	—	79	1	no	—
356	C₂×C₄	—	79	1	no	—
357	C₂×C₄	—	632	1	no	—
358	C₂×C₄	—	632	1	no	—
359	C₂×C₄	—	632	1	no	—
360	C₂×C₄	—	632	1	no	—
361	C₂×C₄	D₈×D₇₉	1	1	yes	characteristic
362	C₈	—	79	1	no	—
363	C₈	—	79	1	no	—
364	C₈	D₈×D₇₉	1	1	yes	characteristic
365	C₈	C₂×D₄×D₇₉	1	1	yes	characteristic
366	C₂²	—	8	1	no	—
367	C₂²	—	8	2	no	—
368	C₂²	—	16	2	no	—
369	C₂²	—	79	1	no	—
370	C₂²	—	79	1	no	—
371	C₂²	—	632	1	no	—
372	C₂²	—	632	2	no	—
373	C₂²	—	158	2	no	—
374	C₂²	—	1264	2	no	—
375	C₂²	—	1264	4	no	—
376	C₂²	—	1264	2	no	—
377	C₂²	—	1264	4	no	—
378	C₂²	D₁₆×D₇₉	1	1	yes	characteristic
379	C₄	—	8	1	no	—
380	C₄	—	79	1	no	—
381	C₄	—	79	1	no	—
382	C₄	—	632	1	no	—
383	C₄	D₁₆×D₇₉	1	1	yes	characteristic
384	C₄	C₂×D₈×D₇₉	1	1	yes	characteristic
385	C₂	—	2	1	no	—
386	C₂	—	16	2	no	—
387	C₂	—	16	1	no	—
388	C₂	—	79	2	no	—
389	C₂	—	158	1	no	—
390	C₂	—	1264	2	no	—
391	C₂	—	1264	1	no	—
392	C₂	C₂×D₁₆×D₇₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂×D₁₆×D₇₉
commutator, cosocle	C₁₆×C₇₉	C₂⁴
Frattini	C₁₆	C₂³×D₇₉
Fitting	C₇₉×#2263	C₂
socle	C₂×C₇₉	C₂²×D₁₆
hypercenter	#2263	D₇₉
hypocenter	C₇₉	C₂×#2263
LCS	G ▷ C₁₆×C₇₉ ▷ C₈×C₇₉ ▷ C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ C₂×C₈ ◁ C₂×C₁₆ ◁ #2263

Complements

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

N	H ≅ G/N	type
1. #508×D₇₉	C₂	semidirect
2. C₂×D₁₆×D₇₉	C₂	semidirect
3. #23765715	C₂	semidirect
4. #23765714	C₂	semidirect
5. #23765713	C₂	semidirect
6. #23765712	C₂	semidirect
7. #23765711	C₂	semidirect
8. SD₆₄×D₇₉	C₂	semidirect
9. D₃₂×D₇₉	C₂	semidirect
10. M₆₄×D₇₉	C₂	semidirect
11. C₇₉×#2263	C₂	semidirect
14. #19098996	C₂²	semidirect
15. #19098995	C₂²	semidirect
18. #19098992	C₂²	semidirect
19. Q₃₂×D₇₉	C₂²	semidirect
21. C₂×D₁₂₆₄	C₂²	semidirect
26. D₁₆×D₇₉	C₂²	semidirect
27. D₁₆×D₇₉	C₂²	semidirect
29. #19098402	C₂²	semidirect
30. #19098401	C₂²	semidirect
31. #19098400	C₂²	semidirect
32. D₂₅₂₈	C₂²	semidirect
33. #19098398	C₂²	semidirect
34. #19098398	C₂²	semidirect
35. #19098397	C₂²	semidirect
36. #19098396	C₂²	semidirect
37. C₃₂×D₇₉	C₂²	semidirect
38. #508×C₇₉	C₂²	semidirect
39. C₂×D₁₆×C₇₉	C₂²	semidirect
40. SD₆₄×C₇₉	C₂²	semidirect
41. D₃₂×C₇₉	C₂²	semidirect
42. M₆₄×C₇₉	C₂²	semidirect
60. Dic₆₃₂	C₂³	semidirect
67. D₁₂₆₄	C₂³	semidirect
76. C₇₉⋊C₃₂	C₂³	semidirect
79. Q₃₂×C₇₉	C₂³	semidirect
83. D₁₆×C₇₉	C₂³	semidirect
85. C₃₂×C₇₉	C₂³	semidirect
196. D₇₉	#2263	direct (N × H)
204. #2263	D₇₉	direct (N × H)
208. C₇₉	C₂×#2263	semidirect
216. #508	C₂×D₇₉	semidirect
226. C₂×D₁₆	C₂×D₇₉	semidirect
231. SD₆₄	C₂×D₇₉	semidirect
235. D₃₂	C₂×D₇₉	semidirect
238. M₆₄	C₂×D₇₉	semidirect
261. Q₃₂	C₂²×D₇₉	semidirect
274. D₁₆	C₂²×D₇₉	semidirect
282. C₃₂	C₂²×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#508×D₇₉	2
C₂×D₁₆×D₇₉	2
#23765715	2
#23765714	2
#23765713	2
#23765712	2
#23765711	2
SD₆₄×D₇₉	2
D₃₂×D₇₉	2
M₆₄×D₇₉	2
C₇₉×#2263	2
C₂×#2263	79

Subgroups — #2263×D79 #34446399

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2263×D₇₉ #34446399