Subgroups — C₇₉×#3179 #23760801

Order 10112.

374 conjugacy classes of subgroups.

The subgroup lattice has 358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#542×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#540×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#501×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#496×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#488×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#486×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#469×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#468×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#466×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#465×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#442×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#440×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄×SD₁₆×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×D₈×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#405×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic
17	C₂×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic
18	C₂×D₈×C₇₉	C₂²	1	1	yes	characteristic
19	C₂×D₈×C₇₉	C₂²	1	1	yes	characteristic
20	C₂×M₁₆×C₇₉	C₂²	1	1	yes	characteristic
21	C₂²×C₈×C₇₉	C₂²	1	1	yes	characteristic
22	C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
23	#127×C₇₉	C₂²	1	1	yes	characteristic
24	#126×C₇₉	—	2	1	no	—
25	#125×C₇₉	C₂²	1	1	yes	characteristic
26	#124×C₇₉	—	2	1	no	—
27	#124×C₇₉	C₂²	1	1	yes	characteristic
28	#123×C₇₉	—	2	1	no	—
29	#123×C₇₉	—	2	1	no	—
30	#123×C₇₉	—	2	1	no	—
31	C₂²⋊Q₈×C₇₉	—	2	1	no	—
32	C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
33	#121×C₇₉	—	2	1	no	—
34	#121×C₇₉	—	2	1	no	—
35	#121×C₇₉	C₂²	1	1	yes	characteristic
36	#121×C₇₉	C₂²	1	1	yes	characteristic
37	#121×C₇₉	C₂²	1	1	yes	characteristic
38	C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
39	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
40	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
41	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
42	#117×C₇₉	C₂²	1	1	yes	characteristic
43	#107×C₇₉	C₂²	1	1	yes	characteristic
44	#107×C₇₉	C₂²	1	1	yes	characteristic
45	#106×C₇₉	C₂²	1	1	yes	characteristic
46	#106×C₇₉	C₂²	1	1	yes	characteristic
47	#103×C₇₉	C₂²	1	1	yes	characteristic
48	#103×C₇₉	C₂²	1	1	yes	characteristic
49	#102×C₇₉	C₂²	1	1	yes	characteristic
50	#102×C₇₉	C₂²	1	1	yes	characteristic
51	#102×C₇₉	C₂²	1	1	yes	characteristic
52	#102×C₇₉	C₂²	1	1	yes	characteristic
53	#102×C₇₉	C₂²	1	1	yes	characteristic
54	#102×C₇₉	C₂²	1	1	yes	characteristic
55	#97×C₇₉	C₂²	1	1	yes	characteristic
56	#97×C₇₉	C₂²	1	1	yes	characteristic
57	C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
58	C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
59	C₂×Q₈×C₇₉	—	2	1	no	—
60	C₂×Q₈×C₇₉	C₂³	1	1	yes	characteristic
61	C₂×D₄×C₇₉	—	2	1	no	—
62	C₂×D₄×C₇₉	—	2	1	no	—
63	C₂×D₄×C₇₉	—	2	1	no	—
64	C₂×D₄×C₇₉	—	2	1	no	—
65	C₂×D₄×C₇₉	—	2	1	no	—
66	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
67	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
68	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
69	C₂²×C₄×C₇₉	—	2	1	no	—
70	C₂²×C₄×C₇₉	—	2	1	no	—
71	C₂²×C₄×C₇₉	—	2	1	no	—
72	C₂²×C₄×C₇₉	C₂³	1	1	yes	characteristic
73	SD₁₆×C₇₉	—	2	2	no	—
74	SD₁₆×C₇₉	—	2	2	no	—
75	D₈×C₇₉	—	2	2	no	—
76	D₈×C₇₉	—	2	2	no	—
77	M₁₆×C₇₉	—	2	2	no	—
78	C₂×C₈×C₇₉	—	2	2	no	—
79	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
80	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
81	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
82	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
83	C₄⋊C₄×C₇₉	—	2	1	no	—
84	C₄⋊C₄×C₇₉	—	2	1	no	—
85	C₄⋊C₄×C₇₉	—	2	1	no	—
86	C₄⋊C₄×C₇₉	—	2	1	no	—
87	C₄⋊C₄×C₇₉	—	2	1	no	—
88	C₄⋊C₄×C₇₉	D₄	1	1	yes	characteristic
89	C₄⋊C₄×C₇₉	D₄	1	1	yes	characteristic
90	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
91	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
92	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
93	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
94	C₂²⋊C₄×C₇₉	—	2	1	no	—
95	C₂²⋊C₄×C₇₉	—	2	1	no	—
96	C₂²⋊C₄×C₇₉	—	2	1	no	—
97	C₂²⋊C₄×C₇₉	—	2	1	no	—
98	C₂²⋊C₄×C₇₉	—	2	1	no	—
99	C₂²⋊C₄×C₇₉	—	2	1	no	—
100	C₂²⋊C₄×C₇₉	—	2	1	no	—
101	C₂²⋊C₄×C₇₉	—	2	1	no	—
102	C₂²⋊C₄×C₇₉	—	2	1	no	—
103	C₂²⋊C₄×C₇₉	D₄	1	1	yes	characteristic
104	C₂²⋊C₄×C₇₉	D₄	1	1	yes	characteristic
105	C₄²×C₇₉	—	2	1	no	—
106	C₄²×C₇₉	C₂³	1	1	yes	characteristic
107	C₄²×C₇₉	C₂³	1	1	yes	characteristic
108	C₂³×C₇₉	—	2	1	no	—
109	C₂³×C₇₉	—	2	1	no	—
110	C₂³×C₇₉	—	2	1	no	—
111	C₂³×C₇₉	C₂×D₄	1	1	yes	characteristic
112	Q₈×C₇₉	—	2	1	no	—
113	Q₈×C₇₉	—	2	1	no	—
114	Q₈×C₇₉	—	8	1	no	—
115	D₄×C₇₉	—	2	1	no	—
116	D₄×C₇₉	—	2	1	no	—
117	D₄×C₇₉	—	2	1	no	—
118	D₄×C₇₉	—	2	1	no	—
119	D₄×C₇₉	—	2	1	no	—
120	D₄×C₇₉	—	2	1	no	—
121	D₄×C₇₉	—	8	1	no	—
122	D₄×C₇₉	—	8	1	no	—
123	D₄×C₇₉	—	8	1	no	—
124	D₄×C₇₉	—	8	1	no	—
125	D₄×C₇₉	—	8	1	no	—
126	C₂×C₄×C₇₉	—	2	1	no	—
127	C₂×C₄×C₇₉	—	2	1	no	—
128	C₂×C₄×C₇₉	—	2	1	no	—
129	C₂×C₄×C₇₉	—	2	1	no	—
130	C₂×C₄×C₇₉	—	2	1	no	—
131	C₂×C₄×C₇₉	—	2	1	no	—
132	C₂×C₄×C₇₉	—	2	1	no	—
133	C₂×C₄×C₇₉	—	8	1	no	—
134	C₂×C₄×C₇₉	—	8	1	no	—
135	C₂×C₄×C₇₉	—	8	1	no	—
136	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
137	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
141	C₂×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
142	C₈×C₇₉	—	2	1	no	—
143	C₈×C₇₉	—	2	1	no	—
144	C₈×C₇₉	#41	1	2	yes	—
145	C₈×C₇₉	#41	1	2	yes	—
146	C₂²×C₇₉	—	2	1	no	—
147	C₂²×C₇₉	—	2	1	no	—
148	C₂²×C₇₉	—	2	1	no	—
149	C₂²×C₇₉	—	4	1	no	—
150	C₂²×C₇₉	—	4	1	no	—
151	C₂²×C₇₉	—	4	1	no	—
152	C₂²×C₇₉	—	4	1	no	—
153	C₂²×C₇₉	—	4	1	no	—
154	C₂²×C₇₉	—	4	1	no	—
155	C₂²×C₇₉	—	4	1	no	—
156	C₂²×C₇₉	—	4	1	no	—
157	C₂²×C₇₉	—	4	1	no	—
158	C₂²×C₇₉	C₂²×D₄	1	1	yes	characteristic
159	C₄×C₇₉	—	2	1	no	—
160	C₄×C₇₉	—	2	1	no	—
161	C₄×C₇₉	—	2	1	no	—
162	C₄×C₇₉	—	2	1	no	—
163	C₄×C₇₉	—	2	1	no	—
164	C₄×C₇₉	—	4	1	no	—
165	C₄×C₇₉	—	4	1	no	—
166	C₄×C₇₉	—	4	1	no	—
167	C₄×C₇₉	—	4	1	no	—
168	C₄×C₇₉	—	4	1	no	—
169	C₄×C₇₉	C₂×#41	1	1	yes	characteristic
170	C₄×C₇₉	C₂×#41	1	1	yes	characteristic
171	C₂×C₇₉	—	4	1	no	—
172	C₂×C₇₉	—	8	1	no	—
173	C₂×C₇₉	—	8	1	no	—
174	C₂×C₇₉	—	8	1	no	—
175	C₂×C₇₉	#532	1	1	yes	characteristic
176	C₂×C₇₉	#576	1	1	yes	characteristic
177	C₂×C₇₉	#577	1	1	yes	characteristic
178	#3179	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
179	C₇₉	#3179	1	1	yes	characteristic, direct product factor, Sylow
180	#542	C₂×C₇₉	1	1	yes	characteristic, complemented
181	#540	C₂×C₇₉	1	1	yes	characteristic, complemented
182	#501	C₂×C₇₉	1	1	yes	characteristic, complemented
183	#496	C₂×C₇₉	1	1	yes	characteristic, complemented
184	#488	C₂×C₇₉	1	1	yes	characteristic, complemented
185	#486	C₂×C₇₉	1	1	yes	characteristic, complemented
186	#469	C₂×C₇₉	1	1	yes	characteristic, complemented
187	#468	C₂×C₇₉	1	1	yes	characteristic, complemented
188	#466	C₂×C₇₉	1	1	yes	characteristic, complemented
189	#465	C₂×C₇₉	1	1	yes	characteristic, complemented
190	#442	C₂×C₇₉	1	1	yes	characteristic, complemented
191	#440	C₂×C₇₉	1	1	yes	characteristic, complemented
192	C₄×SD₁₆	C₂×C₇₉	1	1	yes	characteristic, complemented
193	C₄×D₈	C₂×C₇₉	1	1	yes	characteristic, complemented
194	#405	C₂×C₇₉	1	1	yes	characteristic, complemented
195	C₂×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic
196	C₂×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic
197	C₂×D₈	C₂²×C₇₉	1	1	yes	characteristic
198	C₂×D₈	C₂²×C₇₉	1	1	yes	characteristic
199	C₂×M₁₆	C₂²×C₇₉	1	1	yes	characteristic
200	C₂²×C₈	C₂²×C₇₉	1	1	yes	characteristic
201	C₄⋊Q₈	C₂²×C₇₉	1	1	yes	characteristic
202	#127	C₂²×C₇₉	1	1	yes	characteristic
203	#126	—	2	1	no	—
204	#125	C₂²×C₇₉	1	1	yes	characteristic
205	#124	—	2	1	no	—
206	#124	C₂²×C₇₉	1	1	yes	characteristic
207	#123	—	2	1	no	—
208	#123	—	2	1	no	—
209	#123	—	2	1	no	—
210	C₂²⋊Q₈	—	2	1	no	—
211	C₂²⋊Q₈	C₂²×C₇₉	1	1	yes	characteristic
212	#121	—	2	1	no	—
213	#121	—	2	1	no	—
214	#121	C₂²×C₇₉	1	1	yes	characteristic
215	#121	C₂²×C₇₉	1	1	yes	characteristic
216	#121	C₂²×C₇₉	1	1	yes	characteristic
217	C₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic
218	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
219	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
220	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
221	#117	C₂²×C₇₉	1	1	yes	characteristic
222	#107	C₂²×C₇₉	1	1	yes	characteristic
223	#107	C₂²×C₇₉	1	1	yes	characteristic
224	#106	C₂²×C₇₉	1	1	yes	characteristic
225	#106	C₂²×C₇₉	1	1	yes	characteristic
226	#103	C₂²×C₇₉	1	1	yes	characteristic
227	#103	C₂²×C₇₉	1	1	yes	characteristic
228	#102	C₂²×C₇₉	1	1	yes	characteristic
229	#102	C₂²×C₇₉	1	1	yes	characteristic
230	#102	C₂²×C₇₉	1	1	yes	characteristic
231	#102	C₂²×C₇₉	1	1	yes	characteristic
232	#102	C₂²×C₇₉	1	1	yes	characteristic
233	#102	C₂²×C₇₉	1	1	yes	characteristic
234	#97	C₂²×C₇₉	1	1	yes	characteristic
235	#97	C₂²×C₇₉	1	1	yes	characteristic
236	C₄×C₈	C₂²×C₇₉	1	1	yes	characteristic
237	C₄×C₈	C₂²×C₇₉	1	1	yes	characteristic
238	C₂×Q₈	—	2	1	no	—
239	C₂×Q₈	C₂³×C₇₉	1	1	yes	characteristic
240	C₂×D₄	—	2	1	no	—
241	C₂×D₄	—	2	1	no	—
242	C₂×D₄	—	2	1	no	—
243	C₂×D₄	—	2	1	no	—
244	C₂×D₄	—	2	1	no	—
245	C₂×D₄	C₂³×C₇₉	1	1	yes	characteristic
246	C₂×D₄	C₂³×C₇₉	1	1	yes	characteristic
247	C₂×D₄	C₂³×C₇₉	1	1	yes	characteristic
248	C₂²×C₄	—	2	1	no	—
249	C₂²×C₄	—	2	1	no	—
250	C₂²×C₄	—	2	1	no	—
251	C₂²×C₄	C₂³×C₇₉	1	1	yes	characteristic
252	SD₁₆	—	2	2	no	—
253	SD₁₆	—	2	2	no	—
254	D₈	—	2	2	no	—
255	D₈	—	2	2	no	—
256	M₁₆	—	2	2	no	—
257	C₂×C₈	—	2	2	no	—
258	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
259	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
260	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
261	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
262	C₄⋊C₄	—	2	1	no	—
263	C₄⋊C₄	—	2	1	no	—
264	C₄⋊C₄	—	2	1	no	—
265	C₄⋊C₄	—	2	1	no	—
266	C₄⋊C₄	—	2	1	no	—
267	C₄⋊C₄	D₄×C₇₉	1	1	yes	characteristic
268	C₄⋊C₄	D₄×C₇₉	1	1	yes	characteristic
269	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
270	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
271	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
272	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
273	C₂²⋊C₄	—	2	1	no	—
274	C₂²⋊C₄	—	2	1	no	—
275	C₂²⋊C₄	—	2	1	no	—
276	C₂²⋊C₄	—	2	1	no	—
277	C₂²⋊C₄	—	2	1	no	—
278	C₂²⋊C₄	—	2	1	no	—
279	C₂²⋊C₄	—	2	1	no	—
280	C₂²⋊C₄	—	2	1	no	—
281	C₂²⋊C₄	—	2	1	no	—
282	C₂²⋊C₄	D₄×C₇₉	1	1	yes	characteristic
283	C₂²⋊C₄	D₄×C₇₉	1	1	yes	characteristic
284	C₄²	—	2	1	no	—
285	C₄²	C₂³×C₇₉	1	1	yes	characteristic
286	C₄²	C₂³×C₇₉	1	1	yes	characteristic
287	C₂³	—	2	1	no	—
288	C₂³	—	2	1	no	—
289	C₂³	—	2	1	no	—
290	C₂³	C₂×D₄×C₇₉	1	1	yes	characteristic
291	Q₈	—	2	1	no	—
292	Q₈	—	2	1	no	—
293	Q₈	—	8	1	no	—
294	D₄	—	2	1	no	—
295	D₄	—	2	1	no	—
296	D₄	—	2	1	no	—
297	D₄	—	2	1	no	—
298	D₄	—	2	1	no	—
299	D₄	—	2	1	no	—
300	D₄	—	8	1	no	—
301	D₄	—	8	1	no	—
302	D₄	—	8	1	no	—
303	D₄	—	8	1	no	—
304	D₄	—	8	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	8	1	no	—
313	C₂×C₄	—	8	1	no	—
314	C₂×C₄	—	8	1	no	—
315	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
316	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
317	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
318	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
319	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
320	C₂×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
321	C₈	—	2	1	no	—
322	C₈	—	2	1	no	—
323	C₈	#41×C₇₉	1	2	yes	—
324	C₈	#41×C₇₉	1	2	yes	—
325	C₂²	—	2	1	no	—
326	C₂²	—	2	1	no	—
327	C₂²	—	2	1	no	—
328	C₂²	—	4	1	no	—
329	C₂²	—	4	1	no	—
330	C₂²	—	4	1	no	—
331	C₂²	—	4	1	no	—
332	C₂²	—	4	1	no	—
333	C₂²	—	4	1	no	—
334	C₂²	—	4	1	no	—
335	C₂²	—	4	1	no	—
336	C₂²	—	4	1	no	—
337	C₂²	C₂²×D₄×C₇₉	1	1	yes	characteristic
338	C₄	—	2	1	no	—
339	C₄	—	2	1	no	—
340	C₄	—	2	1	no	—
341	C₄	—	2	1	no	—
342	C₄	—	2	1	no	—
343	C₄	—	4	1	no	—
344	C₄	—	4	1	no	—
345	C₄	—	4	1	no	—
346	C₄	—	4	1	no	—
347	C₄	—	4	1	no	—
348	C₄	C₂×#41×C₇₉	1	1	yes	characteristic
349	C₄	C₂×#41×C₇₉	1	1	yes	characteristic
350	C₂	—	4	1	no	—
351	C₂	—	8	1	no	—
352	C₂	—	8	1	no	—
353	C₂	—	8	1	no	—
354	C₂	#532×C₇₉	1	1	yes	characteristic
355	C₂	#576×C₇₉	1	1	yes	characteristic
356	C₂	#577×C₇₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₉	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₇₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₉ ◁ #117×C₇₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. #542×C₇₉	C₂	semidirect
2. #540×C₇₉	C₂	semidirect
3. #501×C₇₉	C₂	semidirect
4. #496×C₇₉	C₂	semidirect
5. #488×C₇₉	C₂	semidirect
6. #486×C₇₉	C₂	semidirect
7. #469×C₇₉	C₂	semidirect
8. #468×C₇₉	C₂	semidirect
9. #466×C₇₉	C₂	semidirect
10. #465×C₇₉	C₂	semidirect
11. #442×C₇₉	C₂	semidirect
12. #440×C₇₉	C₂	semidirect
13. C₄×SD₁₆×C₇₉	C₂	semidirect
14. C₄×D₈×C₇₉	C₂	semidirect
15. #405×C₇₉	C₂	semidirect
178. #3179	C₇₉	direct (N × H)
179. C₇₉	#3179	direct (N × H)
180. #542	C₂×C₇₉	semidirect
181. #540	C₂×C₇₉	semidirect
182. #501	C₂×C₇₉	semidirect
183. #496	C₂×C₇₉	semidirect
184. #488	C₂×C₇₉	semidirect
185. #486	C₂×C₇₉	semidirect
186. #469	C₂×C₇₉	semidirect
187. #468	C₂×C₇₉	semidirect
188. #466	C₂×C₇₉	semidirect
189. #465	C₂×C₇₉	semidirect
190. #442	C₂×C₇₉	semidirect
191. #440	C₂×C₇₉	semidirect
192. C₄×SD₁₆	C₂×C₇₉	semidirect
193. C₄×D₈	C₂×C₇₉	semidirect
194. #405	C₂×C₇₉	semidirect

Maximal subgroups

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

subgroup	index
#542×C₇₉	2
#540×C₇₉	2
#501×C₇₉	2
#496×C₇₉	2
#488×C₇₉	2
#486×C₇₉	2
#469×C₇₉	2
#468×C₇₉	2
#466×C₇₉	2
#465×C₇₉	2
#442×C₇₉	2
#440×C₇₉	2
C₄×SD₁₆×C₇₉	2
C₄×D₈×C₇₉	2
#405×C₇₉	2
#3179	79

Subgroups — C79×#3179 #23760801

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#3179 #23760801