Subgroups — C₇₉×#23008 #34134697

Order 20224.

1122 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#459×C₇₉	C₂	1	1	yes	maximal, characteristic
2	C₂×#442×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄×D₈×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₉×#2366	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₉×#2349	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₉×#1961	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₉×#1949	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₉×#1936	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₉×#1934	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₉×#1879	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₉×#1879	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₉×#1864	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₉×#1862	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₉×#1771	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₉×#1762	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×D₈×C₇₉	C₂²	1	1	yes	characteristic
17	C₂²×D₈×C₇₉	C₂²	1	1	yes	characteristic
18	C₂×#127×C₇₉	C₂²	1	1	yes	characteristic
19	C₂×C₄×D₄×C₇₉	—	2	1	no	—
20	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
21	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
22	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
23	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
24	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
25	#459×C₇₉	C₄	1	8	yes	complemented
26	#442×C₇₉	—	2	4	no	—
27	C₄×D₈×C₇₉	—	2	4	no	—
28	C₂×#107×C₇₉	C₂²	1	1	yes	characteristic
29	C₂×#106×C₇₉	C₂²	1	1	yes	characteristic
30	C₂×C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
31	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
32	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
33	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
34	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
35	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
36	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
37	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
38	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
39	C₂×#97×C₇₉	C₂²	1	1	yes	characteristic
40	C₂×#97×C₇₉	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
42	#390×C₇₉	—	2	1	no	—
43	#390×C₇₉	C₂²	1	1	yes	characteristic
44	#390×C₇₉	C₂²	1	1	yes	characteristic
45	#389×C₇₉	C₂²	1	1	yes	characteristic
46	#389×C₇₉	C₂²	1	1	yes	characteristic
47	#386×C₇₉	—	2	1	no	—
48	#386×C₇₉	—	2	1	no	—
49	#385×C₇₉	—	2	1	no	—
50	#385×C₇₉	—	2	1	no	—
51	#382×C₇₉	C₂²	1	1	yes	characteristic
52	#380×C₇₉	—	2	1	no	—
53	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
54	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
55	C₂×#95×C₇₉	—	2	1	no	—
56	#340×C₇₉	C₂²	1	1	yes	characteristic
57	#340×C₇₉	C₂²	1	1	yes	characteristic
58	#340×C₇₉	C₂²	1	1	yes	characteristic
59	#340×C₇₉	C₂²	1	1	yes	characteristic
60	#336×C₇₉	C₂²	1	1	yes	characteristic
61	#336×C₇₉	C₂²	1	1	yes	characteristic
62	C₂²×D₄×C₇₉	—	2	1	no	—
63	C₂²×D₄×C₇₉	—	2	1	no	—
64	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
65	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
66	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
67	C₂³×C₄×C₇₉	—	2	1	no	—
68	C₂³×C₄×C₇₉	—	2	1	no	—
69	C₂³×C₄×C₇₉	—	2	1	no	—
70	C₂³×C₄×C₇₉	—	2	1	no	—
71	C₂³×C₄×C₇₉	—	2	1	no	—
72	C₂×D₈×C₇₉	—	2	2	no	—
73	C₂×D₈×C₇₉	—	2	2	no	—
74	C₂×D₈×C₇₉	—	2	2	no	—
75	C₂×D₈×C₇₉	—	2	2	no	—
76	C₂×D₈×C₇₉	C₂×C₄	1	4	yes	complemented
77	C₂×D₈×C₇₉	C₂×C₄	1	4	yes	complemented
78	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
79	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
80	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
81	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
82	#127×C₇₉	—	2	2	no	—
83	#127×C₇₉	C₂×C₄	1	4	yes	complemented
84	C₄×D₄×C₇₉	—	2	2	no	—
85	C₄×D₄×C₇₉	—	2	2	no	—
86	C₄×D₄×C₇₉	—	2	2	no	—
87	C₄×D₄×C₇₉	—	2	2	no	—
88	C₄×D₄×C₇₉	—	2	2	no	—
89	C₄×D₄×C₇₉	—	4	1	no	—
90	C₄×D₄×C₇₉	—	4	1	no	—
91	C₄×D₄×C₇₉	—	4	1	no	—
92	C₄×D₄×C₇₉	—	4	1	no	—
93	C₄×D₄×C₇₉	—	4	4	no	—
94	C₄×D₄×C₇₉	C₂×C₄	1	4	yes	complemented
95	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
96	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
97	C₂×C₄⋊C₄×C₇₉	D₄	1	1	yes	characteristic
98	C₂×C₄⋊C₄×C₇₉	D₄	1	1	yes	characteristic
99	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
100	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
101	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
102	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
103	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
104	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
105	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
106	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
107	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
108	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
109	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
110	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
111	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
112	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
113	C₂×C₄²×C₇₉	—	2	1	no	—
114	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
115	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
116	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
117	#107×C₇₉	—	2	2	no	—
118	#106×C₇₉	—	2	2	no	—
119	C₄⋊C₈×C₇₉	C₂×C₄	1	4	yes	complemented
120	#102×C₇₉	—	2	2	no	—
121	#102×C₇₉	—	2	2	no	—
122	#102×C₇₉	—	2	2	no	—
123	#102×C₇₉	—	4	1	no	—
124	#102×C₇₉	—	4	1	no	—
125	#102×C₇₉	C₂×C₄	1	4	yes	complemented
126	#102×C₇₉	C₂×C₄	1	4	yes	complemented
127	#102×C₇₉	D₄	1	4	yes	complemented
128	#97×C₇₉	—	2	2	no	—
129	#97×C₇₉	—	2	2	no	—
130	C₄×C₈×C₇₉	—	2	2	no	—
131	#95×C₇₉	—	2	1	no	—
132	#95×C₇₉	—	2	1	no	—
133	#95×C₇₉	—	2	1	no	—
134	#95×C₇₉	—	2	1	no	—
135	#95×C₇₉	—	2	1	no	—
136	#95×C₇₉	D₄	1	1	yes	characteristic
137	#95×C₇₉	D₄	1	1	yes	characteristic
138	C₂⁴×C₇₉	—	2	1	no	—
139	C₂⁴×C₇₉	—	2	1	no	—
140	C₂⁴×C₇₉	—	2	1	no	—
141	C₂×D₄×C₇₉	—	2	4	no	—
142	C₂×D₄×C₇₉	—	2	4	no	—
143	C₂×D₄×C₇₉	—	2	1	no	—
144	C₂×D₄×C₇₉	—	2	1	no	—
145	C₂×D₄×C₇₉	—	2	1	no	—
146	C₂×D₄×C₇₉	—	2	1	no	—
147	C₂×D₄×C₇₉	—	2	1	no	—
148	C₂×D₄×C₇₉	—	2	1	no	—
149	C₂×D₄×C₇₉	—	2	1	no	—
150	C₂×D₄×C₇₉	—	2	1	no	—
151	C₂×D₄×C₇₉	—	2	1	no	—
152	C₂×D₄×C₇₉	—	2	1	no	—
153	C₂×D₄×C₇₉	—	2	1	no	—
154	C₂×D₄×C₇₉	—	2	1	no	—
155	C₂×D₄×C₇₉	—	2	1	no	—
156	C₂×D₄×C₇₉	—	4	2	no	—
157	C₂×D₄×C₇₉	—	4	2	no	—
158	C₂×D₄×C₇₉	—	8	1	no	—
159	C₂×D₄×C₇₉	—	8	1	no	—
160	C₂×D₄×C₇₉	C₂²×C₄	1	2	yes	—
161	C₂×D₄×C₇₉	C₂²×C₄	1	2	yes	—
162	C₂×D₄×C₇₉	C₂²×C₄	1	2	yes	—
163	C₂×D₄×C₇₉	C₂×D₄	1	2	yes	—
164	C₂×D₄×C₇₉	#41	1	2	yes	—
165	C₂²×C₄×C₇₉	—	2	1	no	—
166	C₂²×C₄×C₇₉	—	2	1	no	—
167	C₂²×C₄×C₇₉	—	2	4	no	—
168	C₂²×C₄×C₇₉	—	2	1	no	—
169	C₂²×C₄×C₇₉	—	2	1	no	—
170	C₂²×C₄×C₇₉	—	2	1	no	—
171	C₂²×C₄×C₇₉	—	4	2	no	—
172	C₂²×C₄×C₇₉	—	4	2	no	—
173	C₂²×C₄×C₇₉	—	4	2	no	—
174	C₂²×C₄×C₇₉	—	4	2	no	—
175	C₂²×C₄×C₇₉	—	4	2	no	—
176	C₂²×C₄×C₇₉	—	4	2	no	—
177	C₂²×C₄×C₇₉	—	4	2	no	—
178	C₂²×C₄×C₇₉	—	4	2	no	—
179	C₂²×C₄×C₇₉	—	8	1	no	—
180	C₂²×C₄×C₇₉	—	8	1	no	—
181	C₂²×C₄×C₇₉	—	8	1	no	—
182	C₂²×C₄×C₇₉	—	8	1	no	—
183	C₂²×C₄×C₇₉	—	8	1	no	—
184	C₂²×C₄×C₇₉	—	8	1	no	—
185	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
186	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
187	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
188	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
189	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
190	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
191	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
192	D₈×C₇₉	—	2	8	no	—
193	D₈×C₇₉	—	2	8	no	—
194	C₂×C₈×C₇₉	—	2	1	no	—
195	C₂×C₈×C₇₉	—	2	1	no	—
196	C₂×C₈×C₇₉	—	2	1	no	—
197	C₂×C₈×C₇₉	—	2	1	no	—
198	C₂×C₈×C₇₉	—	2	1	no	—
199	C₂×C₈×C₇₉	—	2	1	no	—
200	C₂×C₈×C₇₉	—	2	1	no	—
201	C₂×C₈×C₇₉	—	2	1	no	—
202	C₂×C₈×C₇₉	—	2	1	no	—
203	C₂×C₈×C₇₉	C₂²×C₄	1	2	yes	—
204	C₂×C₈×C₇₉	C₂²×C₄	1	2	yes	—
205	C₂×C₈×C₇₉	C₂×D₄	1	2	yes	—
206	C₄⋊C₄×C₇₉	—	2	2	no	—
207	C₄⋊C₄×C₇₉	—	2	1	no	—
208	C₄⋊C₄×C₇₉	—	2	1	no	—
209	C₄⋊C₄×C₇₉	—	2	1	no	—
210	C₄⋊C₄×C₇₉	—	2	1	no	—
211	C₄⋊C₄×C₇₉	—	2	1	no	—
212	C₄⋊C₄×C₇₉	—	2	1	no	—
213	C₄⋊C₄×C₇₉	—	2	1	no	—
214	C₄⋊C₄×C₇₉	—	2	1	no	—
215	C₄⋊C₄×C₇₉	—	4	1	no	—
216	C₄⋊C₄×C₇₉	—	8	1	no	—
217	C₄⋊C₄×C₇₉	—	8	1	no	—
218	C₄⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
219	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
220	C₂²⋊C₄×C₇₉	—	2	4	no	—
221	C₂²⋊C₄×C₇₉	—	4	2	no	—
222	C₂²⋊C₄×C₇₉	—	4	2	no	—
223	C₂²⋊C₄×C₇₉	—	4	2	no	—
224	C₂²⋊C₄×C₇₉	—	4	2	no	—
225	C₂²⋊C₄×C₇₉	—	4	2	no	—
226	C₂²⋊C₄×C₇₉	—	4	2	no	—
227	C₂²⋊C₄×C₇₉	—	8	1	no	—
228	C₂²⋊C₄×C₇₉	—	8	1	no	—
229	C₄²×C₇₉	—	2	1	no	—
230	C₄²×C₇₉	—	2	1	no	—
231	C₄²×C₇₉	—	2	1	no	—
232	C₄²×C₇₉	—	2	1	no	—
233	C₄²×C₇₉	—	4	2	no	—
234	C₄²×C₇₉	C₂²×C₄	1	2	yes	—
235	C₄²×C₇₉	#41	1	2	yes	—
236	C₂³×C₇₉	—	2	2	no	—
237	C₂³×C₇₉	—	2	2	no	—
238	C₂³×C₇₉	—	2	2	no	—
239	C₂³×C₇₉	—	2	2	no	—
240	C₂³×C₇₉	—	2	2	no	—
241	C₂³×C₇₉	—	4	1	no	—
242	C₂³×C₇₉	—	4	1	no	—
243	C₂³×C₇₉	—	4	1	no	—
244	C₂³×C₇₉	—	4	1	no	—
245	C₂³×C₇₉	—	4	1	no	—
246	C₂³×C₇₉	—	4	1	no	—
247	C₂³×C₇₉	—	4	1	no	—
248	C₂³×C₇₉	—	4	1	no	—
249	C₂³×C₇₉	—	4	1	no	—
250	C₂³×C₇₉	—	4	1	no	—
251	C₂³×C₇₉	—	4	1	no	—
252	C₂³×C₇₉	—	4	1	no	—
253	C₂³×C₇₉	—	4	1	no	—
254	C₂³×C₇₉	—	4	1	no	—
255	C₂³×C₇₉	—	4	1	no	—
256	C₂³×C₇₉	—	4	1	no	—
257	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
258	D₄×C₇₉	—	2	2	no	—
259	D₄×C₇₉	—	2	2	no	—
260	D₄×C₇₉	—	2	2	no	—
261	D₄×C₇₉	—	2	2	no	—
262	D₄×C₇₉	—	2	2	no	—
263	D₄×C₇₉	—	2	2	no	—
264	D₄×C₇₉	—	2	2	no	—
265	D₄×C₇₉	—	4	8	no	—
266	D₄×C₇₉	—	4	1	no	—
267	D₄×C₇₉	—	4	1	no	—
268	D₄×C₇₉	—	4	1	no	—
269	D₄×C₇₉	—	4	1	no	—
270	D₄×C₇₉	—	8	4	no	—
271	D₄×C₇₉	C₄×D₄	1	4	yes	complemented
272	C₂×C₄×C₇₉	—	2	1	no	—
273	C₂×C₄×C₇₉	—	2	1	no	—
274	C₂×C₄×C₇₉	—	2	1	no	—
275	C₂×C₄×C₇₉	—	2	1	no	—
276	C₂×C₄×C₇₉	—	2	1	no	—
277	C₂×C₄×C₇₉	—	2	1	no	—
278	C₂×C₄×C₇₉	—	2	2	no	—
279	C₂×C₄×C₇₉	—	2	1	no	—
280	C₂×C₄×C₇₉	—	2	1	no	—
281	C₂×C₄×C₇₉	—	2	1	no	—
282	C₂×C₄×C₇₉	—	2	2	no	—
283	C₂×C₄×C₇₉	—	2	1	no	—
284	C₂×C₄×C₇₉	—	2	1	no	—
285	C₂×C₄×C₇₉	—	2	1	no	—
286	C₂×C₄×C₇₉	—	2	1	no	—
287	C₂×C₄×C₇₉	—	2	1	no	—
288	C₂×C₄×C₇₉	—	2	1	no	—
289	C₂×C₄×C₇₉	—	4	1	no	—
290	C₂×C₄×C₇₉	—	4	1	no	—
291	C₂×C₄×C₇₉	—	4	1	no	—
292	C₂×C₄×C₇₉	—	4	1	no	—
293	C₂×C₄×C₇₉	—	4	1	no	—
294	C₂×C₄×C₇₉	—	4	1	no	—
295	C₂×C₄×C₇₉	—	4	1	no	—
296	C₂×C₄×C₇₉	—	4	1	no	—
297	C₂×C₄×C₇₉	—	4	1	no	—
298	C₂×C₄×C₇₉	—	4	1	no	—
299	C₂×C₄×C₇₉	—	4	1	no	—
300	C₂×C₄×C₇₉	—	4	1	no	—
301	C₂×C₄×C₇₉	—	4	1	no	—
302	C₂×C₄×C₇₉	—	8	4	no	—
303	C₂×C₄×C₇₉	—	8	4	no	—
304	C₂×C₄×C₇₉	—	8	4	no	—
305	C₂×C₄×C₇₉	—	8	4	no	—
306	C₂×C₄×C₇₉	—	8	4	no	—
307	C₂×C₄×C₇₉	C₄×D₄	1	2	yes	—
308	C₂×C₄×C₇₉	C₄×D₄	1	2	yes	—
309	C₂×C₄×C₇₉	AGL(1,ℤ/8)	1	2	yes	—
310	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
311	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
312	C₂×C₄×C₇₉	C₂×#41	1	1	yes	characteristic
313	C₂×C₄×C₇₉	C₂×#41	1	1	yes	characteristic
314	C₂×C₄×C₇₉	H(5,𝔽₂)	1	1	yes	characteristic
315	C₂×C₄×C₇₉	2₋¹⁺⁴	1	1	yes	characteristic
316	C₈×C₇₉	—	2	2	no	—
317	C₈×C₇₉	—	2	2	no	—
318	C₈×C₇₉	—	2	2	no	—
319	C₈×C₇₉	—	4	1	no	—
320	C₂²×C₇₉	—	2	4	no	—
321	C₂²×C₇₉	—	4	2	no	—
322	C₂²×C₇₉	—	4	2	no	—
323	C₂²×C₇₉	—	4	2	no	—
324	C₂²×C₇₉	—	4	2	no	—
325	C₂²×C₇₉	—	4	2	no	—
326	C₂²×C₇₉	—	4	2	no	—
327	C₂²×C₇₉	—	4	2	no	—
328	C₂²×C₇₉	—	4	2	no	—
329	C₂²×C₇₉	—	4	2	no	—
330	C₂²×C₇₉	—	4	2	no	—
331	C₂²×C₇₉	—	4	2	no	—
332	C₂²×C₇₉	—	4	2	no	—
333	C₂²×C₇₉	—	8	1	no	—
334	C₂²×C₇₉	—	8	1	no	—
335	C₂²×C₇₉	—	8	1	no	—
336	C₂²×C₇₉	—	8	1	no	—
337	C₂²×C₇₉	—	8	1	no	—
338	C₂²×C₇₉	—	8	1	no	—
339	C₂²×C₇₉	—	8	1	no	—
340	C₂²×C₇₉	—	8	1	no	—
341	C₂²×C₇₉	C₂×C₄×D₄	1	1	yes	characteristic
342	C₂²×C₇₉	D₄²	1	1	yes	characteristic
343	C₂²×C₇₉	#548	1	1	yes	characteristic
344	C₂²×C₇₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
345	C₂²×C₇₉	#575	1	1	yes	characteristic
346	C₂²×C₇₉	#576	1	1	yes	characteristic
347	C₂²×C₇₉	#576	1	1	yes	characteristic
348	C₄×C₇₉	—	2	2	no	—
349	C₄×C₇₉	—	2	2	no	—
350	C₄×C₇₉	—	2	2	no	—
351	C₄×C₇₉	—	4	2	no	—
352	C₄×C₇₉	—	4	1	no	—
353	C₄×C₇₉	—	4	2	no	—
354	C₄×C₇₉	—	4	1	no	—
355	C₄×C₇₉	—	4	1	no	—
356	C₄×C₇₉	—	8	1	no	—
357	C₄×C₇₉	—	8	1	no	—
358	C₄×C₇₉	—	8	1	no	—
359	C₄×C₇₉	C₂×C₄×D₄	1	1	yes	characteristic
360	C₄×C₇₉	#520	1	1	yes	characteristic
361	C₄×C₇₉	#547	1	1	yes	characteristic
362	C₄×C₇₉	#553	1	1	yes	characteristic
363	#23008	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
364	C₂×C₇₉	—	4	4	no	—
365	C₂×C₇₉	—	8	2	no	—
366	C₂×C₇₉	—	8	2	no	—
367	C₂×C₇₉	#2361	1	1	yes	characteristic
368	C₂×C₇₉	C₄×AGL(1,ℤ/8)	1	1	yes	characteristic
369	C₂×C₇₉	#2948	1	1	yes	characteristic
370	C₂×C₇₉	#3264	1	1	yes	characteristic
371	C₂×C₇₉	#3268	1	1	yes	characteristic
372	C₂×C₇₉	#3366	1	1	yes	characteristic
373	C₂×C₇₉	#3370	1	1	yes	characteristic
374	C₂×#459	C₂×C₇₉	1	1	yes	characteristic
375	C₂×#442	C₂×C₇₉	1	1	yes	characteristic, complemented
376	C₂×C₄×D₈	C₂×C₇₉	1	1	yes	characteristic, complemented
377	#2366	C₂×C₇₉	1	1	yes	characteristic, complemented
378	#2349	C₂×C₇₉	1	1	yes	characteristic, complemented
379	#1961	C₂×C₇₉	1	1	yes	characteristic, complemented
380	#1949	C₂×C₇₉	1	1	yes	characteristic, complemented
381	#1936	C₂×C₇₉	1	1	yes	characteristic, complemented
382	#1934	C₂×C₇₉	1	1	yes	characteristic, complemented
383	#1879	C₂×C₇₉	1	1	yes	characteristic, complemented
384	#1879	C₂×C₇₉	1	1	yes	characteristic, complemented
385	#1864	C₂×C₇₉	1	1	yes	characteristic, complemented
386	#1862	C₂×C₇₉	1	1	yes	characteristic, complemented
387	#1771	C₂×C₇₉	1	1	yes	characteristic, complemented
388	#1762	C₂×C₇₉	1	1	yes	characteristic, complemented
389	C₇₉	#23008	1	1	yes	characteristic, direct product factor, Sylow
390	C₂²×D₈	C₂²×C₇₉	1	1	yes	characteristic
391	C₂²×D₈	C₂²×C₇₉	1	1	yes	characteristic
392	C₂×#127	C₂²×C₇₉	1	1	yes	characteristic
393	C₂×C₄×D₄	—	2	1	no	—
394	C₂×C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
395	C₂×C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
396	C₂×C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
397	C₂×C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
398	C₂×C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
399	#459	C₄×C₇₉	1	8	yes	complemented
400	#442	—	2	4	no	—
401	C₄×D₈	—	2	4	no	—
402	C₂×#107	C₂²×C₇₉	1	1	yes	characteristic
403	C₂×#106	C₂²×C₇₉	1	1	yes	characteristic
404	C₂×C₄⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
405	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic
406	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic
407	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic
408	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic
409	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic
410	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic
411	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic
412	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic
413	C₂×#97	C₂²×C₇₉	1	1	yes	characteristic
414	C₂×#97	C₂²×C₇₉	1	1	yes	characteristic
415	C₂×C₄×C₈	C₂²×C₇₉	1	1	yes	characteristic
416	#390	—	2	1	no	—
417	#390	C₂²×C₇₉	1	1	yes	characteristic
418	#390	C₂²×C₇₉	1	1	yes	characteristic
419	#389	C₂²×C₇₉	1	1	yes	characteristic
420	#389	C₂²×C₇₉	1	1	yes	characteristic
421	#386	—	2	1	no	—
422	#386	—	2	1	no	—
423	#385	—	2	1	no	—
424	#385	—	2	1	no	—
425	#382	C₂²×C₇₉	1	1	yes	characteristic
426	#380	—	2	1	no	—
427	C₄×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
429	C₂×#95	—	2	1	no	—
430	#340	C₂²×C₇₉	1	1	yes	characteristic
431	#340	C₂²×C₇₉	1	1	yes	characteristic
432	#340	C₂²×C₇₉	1	1	yes	characteristic
433	#340	C₂²×C₇₉	1	1	yes	characteristic
434	#336	C₂²×C₇₉	1	1	yes	characteristic
435	#336	C₂²×C₇₉	1	1	yes	characteristic
436	C₂²×D₄	—	2	1	no	—
437	C₂²×D₄	—	2	1	no	—
438	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
439	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
440	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
441	C₂³×C₄	—	2	1	no	—
442	C₂³×C₄	—	2	1	no	—
443	C₂³×C₄	—	2	1	no	—
444	C₂³×C₄	—	2	1	no	—
445	C₂³×C₄	—	2	1	no	—
446	C₂×D₈	—	2	2	no	—
447	C₂×D₈	—	2	2	no	—
448	C₂×D₈	—	2	2	no	—
449	C₂×D₈	—	2	2	no	—
450	C₂×D₈	C₂×C₄×C₇₉	1	4	yes	complemented
451	C₂×D₈	C₂×C₄×C₇₉	1	4	yes	complemented
452	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
453	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
454	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
455	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
456	#127	—	2	2	no	—
457	#127	C₂×C₄×C₇₉	1	4	yes	complemented
458	C₄×D₄	—	2	2	no	—
459	C₄×D₄	—	2	2	no	—
460	C₄×D₄	—	2	2	no	—
461	C₄×D₄	—	2	2	no	—
462	C₄×D₄	—	2	2	no	—
463	C₄×D₄	—	4	1	no	—
464	C₄×D₄	—	4	1	no	—
465	C₄×D₄	—	4	1	no	—
466	C₄×D₄	—	4	1	no	—
467	C₄×D₄	—	4	4	no	—
468	C₄×D₄	C₂×C₄×C₇₉	1	4	yes	complemented
469	C₂×C₄⋊C₄	—	2	1	no	—
470	C₂×C₄⋊C₄	—	2	1	no	—
471	C₂×C₄⋊C₄	D₄×C₇₉	1	1	yes	characteristic
472	C₂×C₄⋊C₄	D₄×C₇₉	1	1	yes	characteristic
473	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
474	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
475	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
476	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
477	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
478	C₂×C₂²⋊C₄	—	2	1	no	—
479	C₂×C₂²⋊C₄	—	2	1	no	—
480	C₂×C₂²⋊C₄	—	2	1	no	—
481	C₂×C₂²⋊C₄	—	2	1	no	—
482	C₂×C₂²⋊C₄	—	2	1	no	—
483	C₂×C₂²⋊C₄	—	2	1	no	—
484	C₂×C₂²⋊C₄	—	2	1	no	—
485	C₂×C₂²⋊C₄	—	2	1	no	—
486	C₂×C₂²⋊C₄	—	2	1	no	—
487	C₂×C₄²	—	2	1	no	—
488	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
489	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
490	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
491	#107	—	2	2	no	—
492	#106	—	2	2	no	—
493	C₄⋊C₈	C₂×C₄×C₇₉	1	4	yes	complemented
494	#102	—	2	2	no	—
495	#102	—	2	2	no	—
496	#102	—	2	2	no	—
497	#102	—	4	1	no	—
498	#102	—	4	1	no	—
499	#102	C₂×C₄×C₇₉	1	4	yes	complemented
500	#102	C₂×C₄×C₇₉	1	4	yes	complemented
501	#102	D₄×C₇₉	1	4	yes	complemented
502	#97	—	2	2	no	—
503	#97	—	2	2	no	—
504	C₄×C₈	—	2	2	no	—
505	#95	—	2	1	no	—
506	#95	—	2	1	no	—
507	#95	—	2	1	no	—
508	#95	—	2	1	no	—
509	#95	—	2	1	no	—
510	#95	D₄×C₇₉	1	1	yes	characteristic
511	#95	D₄×C₇₉	1	1	yes	characteristic
512	C₂⁴	—	2	1	no	—
513	C₂⁴	—	2	1	no	—
514	C₂⁴	—	2	1	no	—
515	C₂×D₄	—	2	4	no	—
516	C₂×D₄	—	2	4	no	—
517	C₂×D₄	—	2	1	no	—
518	C₂×D₄	—	2	1	no	—
519	C₂×D₄	—	2	1	no	—
520	C₂×D₄	—	2	1	no	—
521	C₂×D₄	—	2	1	no	—
522	C₂×D₄	—	2	1	no	—
523	C₂×D₄	—	2	1	no	—
524	C₂×D₄	—	2	1	no	—
525	C₂×D₄	—	2	1	no	—
526	C₂×D₄	—	2	1	no	—
527	C₂×D₄	—	2	1	no	—
528	C₂×D₄	—	2	1	no	—
529	C₂×D₄	—	2	1	no	—
530	C₂×D₄	—	4	2	no	—
531	C₂×D₄	—	4	2	no	—
532	C₂×D₄	—	8	1	no	—
533	C₂×D₄	—	8	1	no	—
534	C₂×D₄	C₂²×C₄×C₇₉	1	2	yes	—
535	C₂×D₄	C₂²×C₄×C₇₉	1	2	yes	—
536	C₂×D₄	C₂²×C₄×C₇₉	1	2	yes	—
537	C₂×D₄	C₂×D₄×C₇₉	1	2	yes	—
538	C₂×D₄	#41×C₇₉	1	2	yes	—
539	C₂²×C₄	—	2	1	no	—
540	C₂²×C₄	—	2	1	no	—
541	C₂²×C₄	—	2	4	no	—
542	C₂²×C₄	—	2	1	no	—
543	C₂²×C₄	—	2	1	no	—
544	C₂²×C₄	—	2	1	no	—
545	C₂²×C₄	—	4	2	no	—
546	C₂²×C₄	—	4	2	no	—
547	C₂²×C₄	—	4	2	no	—
548	C₂²×C₄	—	4	2	no	—
549	C₂²×C₄	—	4	2	no	—
550	C₂²×C₄	—	4	2	no	—
551	C₂²×C₄	—	4	2	no	—
552	C₂²×C₄	—	4	2	no	—
553	C₂²×C₄	—	8	1	no	—
554	C₂²×C₄	—	8	1	no	—
555	C₂²×C₄	—	8	1	no	—
556	C₂²×C₄	—	8	1	no	—
557	C₂²×C₄	—	8	1	no	—
558	C₂²×C₄	—	8	1	no	—
559	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
560	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
561	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
562	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
563	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
564	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
565	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
566	D₈	—	2	8	no	—
567	D₈	—	2	8	no	—
568	C₂×C₈	—	2	1	no	—
569	C₂×C₈	—	2	1	no	—
570	C₂×C₈	—	2	1	no	—
571	C₂×C₈	—	2	1	no	—
572	C₂×C₈	—	2	1	no	—
573	C₂×C₈	—	2	1	no	—
574	C₂×C₈	—	2	1	no	—
575	C₂×C₈	—	2	1	no	—
576	C₂×C₈	—	2	1	no	—
577	C₂×C₈	C₂²×C₄×C₇₉	1	2	yes	—
578	C₂×C₈	C₂²×C₄×C₇₉	1	2	yes	—
579	C₂×C₈	C₂×D₄×C₇₉	1	2	yes	—
580	C₄⋊C₄	—	2	2	no	—
581	C₄⋊C₄	—	2	1	no	—
582	C₄⋊C₄	—	2	1	no	—
583	C₄⋊C₄	—	2	1	no	—
584	C₄⋊C₄	—	2	1	no	—
585	C₄⋊C₄	—	2	1	no	—
586	C₄⋊C₄	—	2	1	no	—
587	C₄⋊C₄	—	2	1	no	—
588	C₄⋊C₄	—	2	1	no	—
589	C₄⋊C₄	—	4	1	no	—
590	C₄⋊C₄	—	8	1	no	—
591	C₄⋊C₄	—	8	1	no	—
592	C₄⋊C₄	C₂²×C₄×C₇₉	1	2	yes	—
593	C₄⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
594	C₂²⋊C₄	—	2	4	no	—
595	C₂²⋊C₄	—	4	2	no	—
596	C₂²⋊C₄	—	4	2	no	—
597	C₂²⋊C₄	—	4	2	no	—
598	C₂²⋊C₄	—	4	2	no	—
599	C₂²⋊C₄	—	4	2	no	—
600	C₂²⋊C₄	—	4	2	no	—
601	C₂²⋊C₄	—	8	1	no	—
602	C₂²⋊C₄	—	8	1	no	—
603	C₄²	—	2	1	no	—
604	C₄²	—	2	1	no	—
605	C₄²	—	2	1	no	—
606	C₄²	—	2	1	no	—
607	C₄²	—	4	2	no	—
608	C₄²	C₂²×C₄×C₇₉	1	2	yes	—
609	C₄²	#41×C₇₉	1	2	yes	—
610	C₂³	—	2	2	no	—
611	C₂³	—	2	2	no	—
612	C₂³	—	2	2	no	—
613	C₂³	—	2	2	no	—
614	C₂³	—	2	2	no	—
615	C₂³	—	4	1	no	—
616	C₂³	—	4	1	no	—
617	C₂³	—	4	1	no	—
618	C₂³	—	4	1	no	—
619	C₂³	—	4	1	no	—
620	C₂³	—	4	1	no	—
621	C₂³	—	4	1	no	—
622	C₂³	—	4	1	no	—
623	C₂³	—	4	1	no	—
624	C₂³	—	4	1	no	—
625	C₂³	—	4	1	no	—
626	C₂³	—	4	1	no	—
627	C₂³	—	4	1	no	—
628	C₂³	—	4	1	no	—
629	C₂³	—	4	1	no	—
630	C₂³	—	4	1	no	—
631	C₂³	C₂²×D₄×C₇₉	1	1	yes	characteristic
632	D₄	—	2	2	no	—
633	D₄	—	2	2	no	—
634	D₄	—	2	2	no	—
635	D₄	—	2	2	no	—
636	D₄	—	2	2	no	—
637	D₄	—	2	2	no	—
638	D₄	—	2	2	no	—
639	D₄	—	4	8	no	—
640	D₄	—	4	1	no	—
641	D₄	—	4	1	no	—
642	D₄	—	4	1	no	—
643	D₄	—	4	1	no	—
644	D₄	—	8	4	no	—
645	D₄	C₄×D₄×C₇₉	1	4	yes	complemented
646	C₂×C₄	—	2	1	no	—
647	C₂×C₄	—	2	1	no	—
648	C₂×C₄	—	2	1	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	1	no	—
652	C₂×C₄	—	2	2	no	—
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	1	no	—
655	C₂×C₄	—	2	1	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	1	no	—
660	C₂×C₄	—	2	1	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	4	1	no	—
664	C₂×C₄	—	4	1	no	—
665	C₂×C₄	—	4	1	no	—
666	C₂×C₄	—	4	1	no	—
667	C₂×C₄	—	4	1	no	—
668	C₂×C₄	—	4	1	no	—
669	C₂×C₄	—	4	1	no	—
670	C₂×C₄	—	4	1	no	—
671	C₂×C₄	—	4	1	no	—
672	C₂×C₄	—	4	1	no	—
673	C₂×C₄	—	4	1	no	—
674	C₂×C₄	—	4	1	no	—
675	C₂×C₄	—	4	1	no	—
676	C₂×C₄	—	8	4	no	—
677	C₂×C₄	—	8	4	no	—
678	C₂×C₄	—	8	4	no	—
679	C₂×C₄	—	8	4	no	—
680	C₂×C₄	—	8	4	no	—
681	C₂×C₄	C₄×D₄×C₇₉	1	2	yes	—
682	C₂×C₄	C₄×D₄×C₇₉	1	2	yes	—
683	C₂×C₄	AGL(1,ℤ/8)×C₇₉	1	2	yes	—
684	C₂×C₄	C₂³×C₄×C₇₉	1	1	yes	characteristic
685	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
686	C₂×C₄	C₂×#41×C₇₉	1	1	yes	characteristic
687	C₂×C₄	C₂×#41×C₇₉	1	1	yes	characteristic
688	C₂×C₄	H(5,𝔽₂)×C₇₉	1	1	yes	characteristic
689	C₂×C₄	2₋¹⁺⁴×C₇₉	1	1	yes	characteristic
690	C₈	—	2	2	no	—
691	C₈	—	2	2	no	—
692	C₈	—	2	2	no	—
693	C₈	—	4	1	no	—
694	C₂²	—	2	4	no	—
695	C₂²	—	4	2	no	—
696	C₂²	—	4	2	no	—
697	C₂²	—	4	2	no	—
698	C₂²	—	4	2	no	—
699	C₂²	—	4	2	no	—
700	C₂²	—	4	2	no	—
701	C₂²	—	4	2	no	—
702	C₂²	—	4	2	no	—
703	C₂²	—	4	2	no	—
704	C₂²	—	4	2	no	—
705	C₂²	—	4	2	no	—
706	C₂²	—	4	2	no	—
707	C₂²	—	8	1	no	—
708	C₂²	—	8	1	no	—
709	C₂²	—	8	1	no	—
710	C₂²	—	8	1	no	—
711	C₂²	—	8	1	no	—
712	C₂²	—	8	1	no	—
713	C₂²	—	8	1	no	—
714	C₂²	—	8	1	no	—
715	C₂²	C₂×C₄×D₄×C₇₉	1	1	yes	characteristic
716	C₂²	D₄²×C₇₉	1	1	yes	characteristic
717	C₂²	#548×C₇₉	1	1	yes	characteristic
718	C₂²	C₂×AGL(1,ℤ/8)×C₇₉	1	1	yes	characteristic
719	C₂²	#575×C₇₉	1	1	yes	characteristic
720	C₂²	#576×C₇₉	1	1	yes	characteristic
721	C₂²	#576×C₇₉	1	1	yes	characteristic
722	C₄	—	2	2	no	—
723	C₄	—	2	2	no	—
724	C₄	—	2	2	no	—
725	C₄	—	4	2	no	—
726	C₄	—	4	1	no	—
727	C₄	—	4	2	no	—
728	C₄	—	4	1	no	—
729	C₄	—	4	1	no	—
730	C₄	—	8	1	no	—
731	C₄	—	8	1	no	—
732	C₄	—	8	1	no	—
733	C₄	C₂×C₄×D₄×C₇₉	1	1	yes	characteristic
734	C₄	#520×C₇₉	1	1	yes	characteristic
735	C₄	#547×C₇₉	1	1	yes	characteristic
736	C₄	#553×C₇₉	1	1	yes	characteristic
737	C₂	—	4	4	no	—
738	C₂	—	8	2	no	—
739	C₂	—	8	2	no	—
740	C₂	C₇₉×#2361	1	1	yes	characteristic
741	C₂	C₄×AGL(1,ℤ/8)×C₇₉	1	1	yes	characteristic
742	C₂	C₇₉×#2948	1	1	yes	characteristic
743	C₂	C₇₉×#3264	1	1	yes	characteristic
744	C₂	C₇₉×#3268	1	1	yes	characteristic
745	C₂	C₇₉×#3366	1	1	yes	characteristic
746	C₂	C₇₉×#3370	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₉	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₇₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₇₉
prime radical	C₂×#459×C₇₉	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₇₉ ◁ C₄×C₄⋊C₄×C₇₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×#442×C₇₉	C₂	semidirect
3. C₂×C₄×D₈×C₇₉	C₂	semidirect
4. C₇₉×#2366	C₂	semidirect
5. C₇₉×#2349	C₂	semidirect
6. C₇₉×#1961	C₂	semidirect
7. C₇₉×#1949	C₂	semidirect
8. C₇₉×#1936	C₂	semidirect
9. C₇₉×#1934	C₂	semidirect
10. C₇₉×#1879	C₂	semidirect
11. C₇₉×#1879	C₂	semidirect
12. C₇₉×#1864	C₂	semidirect
13. C₇₉×#1862	C₂	semidirect
14. C₇₉×#1771	C₂	semidirect
15. C₇₉×#1762	C₂	semidirect
25. #459×C₇₉	C₄	semidirect
76. C₂×D₈×C₇₉	C₂×C₄	semidirect
77. C₂×D₈×C₇₉	C₂×C₄	semidirect
83. #127×C₇₉	C₂×C₄	semidirect
94. C₄×D₄×C₇₉	C₂×C₄	semidirect
119. C₄⋊C₈×C₇₉	C₂×C₄	semidirect
125. #102×C₇₉	C₂×C₄	semidirect
126. #102×C₇₉	C₂×C₄	semidirect
127. #102×C₇₉	D₄	semidirect
271. D₄×C₇₉	C₄×D₄	semidirect
363. #23008	C₇₉	direct (N × H)
375. C₂×#442	C₂×C₇₉	semidirect
376. C₂×C₄×D₈	C₂×C₇₉	semidirect
377. #2366	C₂×C₇₉	semidirect
378. #2349	C₂×C₇₉	semidirect
379. #1961	C₂×C₇₉	semidirect
380. #1949	C₂×C₇₉	semidirect
381. #1936	C₂×C₇₉	semidirect
382. #1934	C₂×C₇₉	semidirect
383. #1879	C₂×C₇₉	semidirect
384. #1879	C₂×C₇₉	semidirect
385. #1864	C₂×C₇₉	semidirect
386. #1862	C₂×C₇₉	semidirect
387. #1771	C₂×C₇₉	semidirect
388. #1762	C₂×C₇₉	semidirect
389. C₇₉	#23008	direct (N × H)
399. #459	C₄×C₇₉	semidirect
450. C₂×D₈	C₂×C₄×C₇₉	semidirect
451. C₂×D₈	C₂×C₄×C₇₉	semidirect
457. #127	C₂×C₄×C₇₉	semidirect
468. C₄×D₄	C₂×C₄×C₇₉	semidirect
493. C₄⋊C₈	C₂×C₄×C₇₉	semidirect
499. #102	C₂×C₄×C₇₉	semidirect
500. #102	C₂×C₄×C₇₉	semidirect
501. #102	D₄×C₇₉	semidirect
645. D₄	C₄×D₄×C₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#459×C₇₉	2
C₂×#442×C₇₉	2
C₂×C₄×D₈×C₇₉	2
C₇₉×#2366	2
C₇₉×#2349	2
C₇₉×#1961	2
C₇₉×#1949	2
C₇₉×#1936	2
C₇₉×#1934	2
C₇₉×#1879	2
C₇₉×#1864	2
C₇₉×#1862	2
C₇₉×#1771	2
C₇₉×#1762	2
#23008	79

Subgroups — C79×#23008 #34134697

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#23008 #34134697