Subgroups — #2966×D₇₉ #35152713

Order 20224.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1166 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#529×D₇₉	C₂	1	1	yes	maximal, characteristic
2	#23772378	C₂	1	1	yes	maximal, characteristic, complemented
3	#23772377	C₂	1	1	yes	maximal, characteristic, complemented
4	#23772376	C₂	1	1	yes	maximal, characteristic, complemented
5	#23772375	C₂	1	1	yes	maximal, characteristic, complemented
6	#23772374	C₂	1	1	yes	maximal, characteristic, complemented
7	#23772373	C₂	1	2	yes	maximal, complemented
8	#23772372	C₂	1	1	yes	maximal, characteristic, complemented
9	#23772371	C₂	1	2	yes	maximal, complemented
10	#23772370	C₂	1	2	yes	maximal, complemented
11	#23772369	C₂	1	1	yes	maximal, characteristic, complemented
12	#23772368	C₂	1	2	yes	maximal, complemented
13	#446×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈×Q₈×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#436×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#435×D₇₉	C₂	1	2	yes	maximal, complemented
17	C₈×D₄×D₇₉	C₂	1	2	yes	maximal, complemented
18	C₈×D₄×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#433×D₇₉	C₂	1	2	yes	maximal, complemented
20	#432×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#405×D₇₉	C₂	1	2	yes	maximal, complemented
22	C₂×C₄×C₈×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₉×#2966	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×M₁₆×D₇₉	C₂²	1	2	yes	—
25	C₂²×C₈×D₇₉	C₂²	1	1	yes	characteristic
26	C₂²×C₈×D₇₉	C₂²	1	1	yes	characteristic
27	C₂²×C₈×D₇₉	C₂²	1	2	yes	—
28	#19099100	C₂²	1	1	yes	characteristic
29	#19099099	C₄	1	1	yes	characteristic
30	#19099098	C₄	1	1	yes	characteristic
31	#19099097	C₂²	1	1	yes	characteristic
32	#19099096	C₄	1	2	yes	—
33	#19099095	C₂²	1	1	yes	characteristic
34	#19099094	C₄	1	1	yes	characteristic
35	#19099093	C₂²	1	2	yes	—
36	#19099092	C₄	1	1	yes	characteristic
37	#19099091	C₂²	1	2	yes	—
38	#19099090	C₄	1	2	yes	—
39	#126×D₇₉	C₄	1	2	yes	—
40	#125×D₇₉	C₄	1	1	yes	characteristic
41	#124×D₇₉	C₄	1	1	yes	characteristic
42	#123×D₇₉	C₄	1	2	yes	—
43	C₂²⋊Q₈×D₇₉	C₄	1	1	yes	characteristic
44	#121×D₇₉	C₄	1	1	yes	characteristic
45	C₄×Q₈×D₇₉	C₂²	1	1	yes	characteristic
46	C₄×D₄×D₇₉	C₂²	1	2	yes	—
47	C₄×D₄×D₇₉	C₂²	1	1	yes	characteristic
48	#117×D₇₉	C₂²	1	2	yes	—
49	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
50	#19098694	C₂²	1	1	yes	characteristic, complemented
51	#19098693	C₂²	1	1	yes	characteristic, complemented
52	#19098692	C₂²	1	2	yes	complemented
53	#19098691	C₂²	1	2	yes	complemented
54	#19098690	C₂²	1	1	yes	characteristic, complemented
55	Q₈×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
56	C₈×Dic₁₅₈	C₂²	1	2	yes	complemented
57	C₈×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
58	#19098687	C₂²	1	1	yes	characteristic, complemented
59	#19098687	C₂²	1	2	yes	complemented
60	#19098642	C₂²	1	1	yes	characteristic, complemented
61	#19098641	C₂²	1	1	yes	characteristic, complemented
62	#19098640	C₂²	1	1	yes	characteristic, complemented
63	#19098639	C₂²	1	2	yes	complemented
64	#19098638	C₂²	1	2	yes	complemented
65	#19098637	C₂²	1	2	yes	complemented
66	#19098636	C₂²	1	2	yes	complemented
67	#19098635	C₂²	1	2	yes	complemented
68	#19098634	C₂²	1	2	yes	complemented
69	#19098633	C₂²	1	2	yes	complemented
70	#19098632	C₂²	1	2	yes	complemented
71	#19098631	C₂²	1	2	yes	complemented
72	C₈×D₃₁₆	C₂²	1	2	yes	complemented
73	C₈×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
74	D₄×C₇₉⋊C₈	C₂²	1	2	yes	complemented
75	D₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
76	#19098628	C₂²	1	1	yes	characteristic, complemented
77	#19098628	C₂²	1	2	yes	complemented
78	C₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
79	C₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
80	C₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
81	(C₂²⋊D₇₉)⋊C₈	C₂²	1	2	yes	complemented
82	(C₂²⋊D₇₉)⋊C₈	C₂²	1	2	yes	complemented
83	(C₂²⋊D₇₉)⋊C₈	C₂²	1	2	yes	complemented
84	#19098625	C₂²	1	2	yes	complemented
85	#19098624	C₂²	1	2	yes	complemented
86	#19098623	C₂²	1	2	yes	complemented
87	#19098623	C₂²	1	2	yes	complemented
88	#19098622	C₂²	1	2	yes	complemented
89	#19098621	C₂²	1	2	yes	complemented
90	#19098621	C₂²	1	2	yes	complemented
91	#19098620	C₂²	1	1	yes	characteristic, complemented
92	#19098619	C₂²	1	1	yes	characteristic, complemented
93	#19098619	C₂²	1	1	yes	characteristic, complemented
94	#19098618	C₂²	1	2	yes	complemented
95	#19098617	C₂²	1	2	yes	complemented
96	C₄⋊C₈×D₇₉	C₂²	1	1	yes	characteristic
97	C₄⋊C₈×D₇₉	C₂²	1	1	yes	characteristic
98	C₄⋊C₈×D₇₉	C₂²	1	2	yes	—
99	C₄⋊C₈×D₇₉	C₂²	1	2	yes	—
100	C₂²⋊C₈×D₇₉	C₂²	1	2	yes	—
101	C₂²⋊C₈×D₇₉	C₂²	1	2	yes	—
102	C₂²⋊C₈×D₇₉	C₂²	1	2	yes	—
103	#19098521	C₂²	1	2	yes	complemented
104	#19098520	C₂²	1	2	yes	complemented
105	#19098520	C₂²	1	2	yes	complemented
106	#19098519	C₂²	1	2	yes	complemented
107	#19098518	C₂²	1	2	yes	complemented
108	#19098517	C₂²	1	2	yes	complemented
109	#19098517	C₂²	1	2	yes	complemented
110	#97×D₇₉	C₂²	1	2	yes	—
111	#97×D₇₉	C₂²	1	2	yes	—
112	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₈×D₇₉	C₂²	1	1	yes	characteristic
116	C₄×C₈×D₇₉	C₂²	1	1	yes	characteristic
117	C₄×C₈×D₇₉	C₂²	1	1	yes	characteristic
118	C₄×C₈×D₇₉	C₂²	1	1	yes	characteristic
119	C₄×C₈×D₇₉	C₂²	1	2	yes	—
120	C₄×C₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
124	#529×C₇₉	C₂²	1	1	yes	characteristic
125	#446×C₇₉	C₂²	1	1	yes	characteristic, complemented
126	C₈×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	#436×C₇₉	C₂²	1	1	yes	characteristic, complemented
128	#435×C₇₉	C₂²	1	2	yes	complemented
129	C₈×D₄×C₇₉	C₂²	1	2	yes	complemented
130	C₈×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
131	#433×C₇₉	C₂²	1	2	yes	complemented
132	#432×C₇₉	C₂²	1	1	yes	characteristic, complemented
133	#405×C₇₉	C₂²	1	2	yes	complemented
134	C₂×C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
135	C₂×Q₈×D₇₉	C₂×C₄	1	1	yes	characteristic
136	C₂×D₄×D₇₉	C₂×C₄	1	2	yes	—
137	C₂×D₄×D₇₉	C₂×C₄	1	1	yes	characteristic
138	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
139	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
140	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
141	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
142	C₂×#11929608	C₂³	1	2	yes	—
143	C₂×#11929607	C₂³	1	2	yes	—
144	C₂×#11929607	C₂³	1	2	yes	—
145	M₁₆×D₇₉	—	2	8	no	—
146	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
147	C₂²×C₇₉⋊C₈	C₂³	1	2	yes	—
148	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
149	C₂×C₈×D₇₉	—	2	4	no	—
150	C₂×C₈×D₇₉	—	2	8	no	—
151	C₂×C₈×D₇₉	—	2	4	no	—
152	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
153	C₂×C₈×D₇₉	C₂³	1	2	yes	—
154	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
155	C₂×C₈×D₇₉	C₂³	1	2	yes	—
156	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
157	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
158	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
159	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
160	C₂×C₈×D₇₉	C₂³	1	2	yes	—
161	C₂×C₈×D₇₉	C₂³	1	2	yes	—
162	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
163	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
164	#14579156	C₂×C₄	1	2	yes	—
165	#14579156	C₂×C₄	1	2	yes	—
166	#14579156	C₂×C₄	1	2	yes	—
167	#14579155	C₂×C₄	1	2	yes	—
168	#14579154	C₂×C₄	1	2	yes	—
169	#14579154	C₂×C₄	1	2	yes	—
170	#14579154	C₂×C₄	1	2	yes	—
171	#14579153	C₂×C₄	1	1	yes	characteristic
172	#14579152	C₂×C₄	1	1	yes	characteristic
173	#14579152	C₂×C₄	1	1	yes	characteristic
174	#14579151	C₂×C₄	1	2	yes	—
175	#14579151	C₂×C₄	1	2	yes	—
176	#14579150	C₂×C₄	1	1	yes	characteristic
177	#14579149	C₂×C₄	1	1	yes	characteristic
178	#14579148	C₂×C₄	1	1	yes	characteristic
179	#14579147	C₂×C₄	1	2	yes	—
180	#14579147	C₂×C₄	1	2	yes	—
181	#14579146	C₂×C₄	1	2	yes	—
182	#14579146	C₂×C₄	1	2	yes	—
183	#14579145	C₂×C₄	1	2	yes	—
184	#14579144	C₂×C₄	1	2	yes	—
185	#14579143	C₂×C₄	1	2	yes	—
186	#14579143	C₂×C₄	1	2	yes	—
187	#14579142	C₂×C₄	1	2	yes	—
188	#14579141	C₂×C₄	1	1	yes	characteristic
189	#14579140	C₂×C₄	1	1	yes	characteristic
190	#14579139	C₂×C₄	1	2	yes	—
191	#14579138	C₂×C₄	1	2	yes	—
192	#14579137	C₂×C₄	1	1	yes	characteristic
193	#14579136	C₂×C₄	1	1	yes	characteristic
194	#14579135	C₂×C₄	1	1	yes	characteristic
195	#14579134	C₂×C₄	1	2	yes	—
196	#14579133	C₂×C₄	1	2	yes	—
197	#14579132	C₂×C₄	1	1	yes	characteristic
198	Q₈×Dic₇₉	C₂×C₄	1	1	yes	characteristic
199	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
200	C₄×Dic₁₅₈	C₂³	1	2	yes	—
201	#14579126	C₂×C₄	1	2	yes	—
202	#14579126	C₂×C₄	1	1	yes	characteristic
203	C₄×D₃₁₆	C₂³	1	2	yes	—
204	C₄×D₃₁₆	C₂³	1	1	yes	characteristic
205	D₄×Dic₇₉	C₂×C₄	1	2	yes	—
206	D₄×Dic₇₉	C₂×C₄	1	1	yes	characteristic
207	#14579123	C₂×C₄	1	2	yes	—
208	#14579123	C₂×C₄	1	1	yes	characteristic
209	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
210	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
211	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
212	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	2	yes	—
213	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	2	yes	—
214	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	2	yes	—
215	#14579120	C₂³	1	2	yes	—
216	#14579119	C₂×C₄	1	2	yes	—
217	#14579119	C₂×C₄	1	2	yes	—
218	#14579118	C₂³	1	2	yes	—
219	#14579118	C₂³	1	2	yes	—
220	#14579117	C₂×C₄	1	2	yes	—
221	#14579117	C₂×C₄	1	2	yes	—
222	C₄⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
223	C₄⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
224	C₄⋊C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
225	C₄⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
226	C₄⋊C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
227	C₄⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
228	C₂²⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
229	C₂²⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
230	C₂²⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
231	C₂²⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
232	C₂²⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
233	C₂×C₄×Dic₇₉	C₂×C₄	1	1	yes	characteristic
234	C₂×C₄×Dic₇₉	C₂×C₄	1	1	yes	characteristic
235	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
236	C₄²×D₇₉	C₂×C₄	1	1	yes	characteristic
237	C₄²×D₇₉	C₂×C₄	1	1	yes	characteristic
238	C₄²×D₇₉	C₂×C₄	1	1	yes	characteristic
239	C₄²×D₇₉	C₂×C₄	1	1	yes	characteristic
240	C₄²×D₇₉	C₂³	1	1	yes	characteristic
241	C₄²×D₇₉	C₂³	1	1	yes	characteristic
242	C₄²×D₇₉	C₂³	1	1	yes	characteristic
243	C₄²×D₇₉	C₂³	1	1	yes	characteristic
244	C₄²×D₇₉	C₂³	1	2	yes	—
245	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
246	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
247	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
248	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
249	Dic₇₉⋊C₈	C₂³	1	2	yes	—
250	Dic₇₉⋊C₈	C₂³	1	2	yes	—
251	Dic₇₉⋊C₈	C₂³	1	2	yes	—
252	Dic₇₉⋊C₈	C₂³	1	2	yes	—
253	Dic₇₉⋊C₈	C₂³	1	2	yes	—
254	Dic₇₉⋊C₈	C₂³	1	2	yes	—
255	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
256	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
257	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
258	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
259	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
260	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
261	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
262	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
263	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
264	#14579072	C₂³	1	2	yes	—
265	#14579072	C₂³	1	2	yes	—
266	#14579071	C₂³	1	2	yes	—
267	#14579071	C₂³	1	2	yes	—
268	#14579071	C₂³	1	2	yes	—
269	#14579071	C₂³	1	2	yes	—
270	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
271	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
272	C₄×C₇₉⋊C₈	C₂³	1	2	yes	—
273	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
274	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
275	C₈×Dic₇₉	C₂³	1	1	yes	characteristic
276	C₈×Dic₇₉	C₂³	1	2	yes	—
277	C₈×Dic₇₉	C₂³	1	1	yes	characteristic
278	C₈×Dic₇₉	C₂³	1	2	yes	—
279	C₈×Dic₇₉	C₂³	1	1	yes	characteristic
280	C₈×Dic₇₉	C₂³	1	1	yes	characteristic
281	C₈×Dic₇₉	C₂³	1	1	yes	characteristic
282	C₈×Dic₇₉	C₂³	1	1	yes	characteristic
283	C₈×Dic₇₉	C₂³	1	1	yes	characteristic
284	C₈×Dic₇₉	C₂³	1	1	yes	characteristic
285	C₂×M₁₆×C₇₉	C₂³	1	2	yes	—
286	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
287	C₂²×C₈×C₇₉	C₂³	1	2	yes	—
288	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
289	#126×C₇₉	C₂×C₄	1	2	yes	—
290	#125×C₇₉	C₂×C₄	1	1	yes	characteristic
291	#124×C₇₉	C₂×C₄	1	1	yes	characteristic
292	#123×C₇₉	C₂×C₄	1	2	yes	—
293	C₂²⋊Q₈×C₇₉	C₂×C₄	1	1	yes	characteristic
294	#121×C₇₉	C₂×C₄	1	1	yes	characteristic
295	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
296	C₄×D₄×C₇₉	C₂³	1	2	yes	—
297	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
298	#117×C₇₉	C₂³	1	2	yes	—
299	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
300	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
301	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
302	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
303	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
304	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
305	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
307	#97×C₇₉	C₂³	1	2	yes	—
308	#97×C₇₉	C₂³	1	2	yes	—
309	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₇₉	C₂³	1	2	yes	—
311	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
314	C₂³×D₇₉	C₂²×C₄	1	2	yes	—
315	C₂³×D₇₉	C₂²×C₄	1	1	yes	characteristic
316	C₂×Dic₁₅₈	C₂²×C₄	1	2	yes	—
317	C₂×Dic₁₅₈	C₂²×C₄	1	1	yes	characteristic
318	Q₈×D₇₉	—	2	4	no	—
319	C₂×D₃₁₆	C₂²×C₄	1	2	yes	—
320	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
321	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
322	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
323	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
324	D₄×D₇₉	—	2	4	no	—
325	D₄×D₇₉	—	2	8	no	—
326	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
327	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
328	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
329	C₂²×Dic₇₉	C₂²×C₄	1	2	yes	—
330	C₂×C₄×D₇₉	—	2	4	no	—
331	C₂×C₄×D₇₉	—	2	2	no	—
332	C₂×C₄×D₇₉	—	2	2	no	—
333	C₂×C₄×D₇₉	—	2	4	no	—
334	C₂×C₄×D₇₉	—	2	4	no	—
335	C₂×C₄×D₇₉	—	2	4	no	—
336	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
337	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
338	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
339	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
340	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
341	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
342	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
343	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
344	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
345	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
346	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
347	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
348	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
349	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
350	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
351	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
352	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
353	#11929608	—	2	4	no	—
354	#11929607	—	2	4	no	—
355	#11929607	—	2	4	no	—
356	C₂×C₇₉⋊C₈	—	2	2	no	—
357	C₂×C₇₉⋊C₈	—	2	4	no	—
358	C₂×C₇₉⋊C₈	—	2	2	no	—
359	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
360	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
361	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
362	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
363	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
364	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
365	C₈×D₇₉	—	2	2	no	—
366	C₈×D₇₉	—	2	2	no	—
367	C₈×D₇₉	—	2	4	no	—
368	C₈×D₇₉	—	2	4	no	—
369	C₈×D₇₉	—	2	2	no	—
370	C₈×D₇₉	—	2	4	no	—
371	C₈×D₇₉	—	2	2	no	—
372	C₈×D₇₉	—	2	2	no	—
373	C₈×D₇₉	—	2	4	no	—
374	C₈×D₇₉	—	2	2	no	—
375	C₈×D₇₉	#41	1	4	yes	—
376	C₈×D₇₉	#41	1	4	yes	—
377	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
378	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
379	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
380	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
381	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
382	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
383	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
384	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
385	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
386	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
387	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
388	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
389	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
390	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
391	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
392	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
393	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
394	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
395	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
396	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
397	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
398	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
399	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
400	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
401	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
402	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
403	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
404	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
405	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
406	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
407	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
408	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
409	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
410	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
411	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
412	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
413	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
414	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
415	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
416	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
417	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
418	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
419	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
420	C₄×Dic₇₉	C₂⁴	1	1	yes	characteristic
421	C₄×Dic₇₉	C₂⁴	1	1	yes	characteristic
422	C₄×Dic₇₉	C₂⁴	1	2	yes	—
423	C₂×Q₈×C₇₉	C₂²×C₄	1	1	yes	characteristic
424	C₂×D₄×C₇₉	C₂²×C₄	1	2	yes	—
425	C₂×D₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
426	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
427	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
428	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
430	M₁₆×C₇₉	—	2	4	no	—
431	C₂×C₈×C₇₉	—	2	2	no	—
432	C₂×C₈×C₇₉	—	2	4	no	—
433	C₂×C₈×C₇₉	—	2	2	no	—
434	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
435	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
436	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
437	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
438	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
439	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
440	C₄⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
441	C₄⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
442	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
443	C₄⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
444	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
445	C₄⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
446	C₂²⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
447	C₂²⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
448	C₂²⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
449	C₂²⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
450	C₂²⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
451	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
452	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
453	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
454	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
455	C₄²×C₇₉	C₂⁴	1	2	yes	—
456	C₂³×C₇₉	C₂³×C₄	1	2	yes	—
457	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
458	C₂²×D₇₉	—	2	2	no	—
459	C₂²×D₇₉	—	2	2	no	—
460	C₂²×D₇₉	—	2	4	no	—
461	C₂²×D₇₉	—	2	4	no	—
462	C₂²×D₇₉	—	2	4	no	—
463	C₂²×D₇₉	#131	1	4	yes	—
464	C₂²×D₇₉	C₂³×C₄	1	2	yes	—
465	C₂²×D₇₉	C₂³×C₄	1	1	yes	characteristic
466	C₂²×D₇₉	C₂³×C₄	1	1	yes	characteristic
467	Q₈×C₇₉	—	2	2	no	—
468	D₄×C₇₉	—	2	4	no	—
469	D₄×C₇₉	—	2	2	no	—
470	C₂×C₄×C₇₉	—	2	2	no	—
471	C₂×C₄×C₇₉	—	2	2	no	—
472	C₂×C₄×C₇₉	—	2	1	no	—
473	C₂×C₄×C₇₉	—	2	1	no	—
474	C₂×C₄×C₇₉	—	2	2	no	—
475	C₂×C₄×C₇₉	—	2	2	no	—
476	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
477	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
478	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
479	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
480	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
481	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
482	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
483	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
484	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
485	C₂²⋊D₇₉	—	2	4	no	—
486	C₂²⋊D₇₉	—	2	4	no	—
487	C₂²⋊D₇₉	—	2	4	no	—
488	C₂×Dic₇₉	—	2	2	no	—
489	C₂×Dic₇₉	—	2	2	no	—
490	C₂×Dic₇₉	—	2	4	no	—
491	C₂×Dic₇₉	—	2	2	no	—
492	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
493	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
494	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
495	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
496	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
497	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
498	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
499	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
500	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
501	D₃₁₆	—	2	4	no	—
502	D₃₁₆	—	2	2	no	—
503	C₄×D₇₉	—	2	2	no	—
504	C₄×D₇₉	—	2	4	no	—
505	C₄×D₇₉	—	2	2	no	—
506	C₄×D₇₉	—	2	2	no	—
507	C₄×D₇₉	—	2	2	no	—
508	C₄×D₇₉	—	2	2	no	—
509	C₄×D₇₉	—	2	2	no	—
510	C₄×D₇₉	—	2	4	no	—
511	C₄×D₇₉	—	2	4	no	—
512	C₄×D₇₉	—	2	2	no	—
513	C₄×D₇₉	—	2	1	no	—
514	C₄×D₇₉	—	2	1	no	—
515	C₄×D₇₉	—	2	2	no	—
516	C₄×D₇₉	—	2	2	no	—
517	C₄×D₇₉	—	2	2	no	—
518	C₄×D₇₉	—	2	4	no	—
519	C₄×D₇₉	—	2	2	no	—
520	C₄×D₇₉	#131	1	4	yes	—
521	C₄×D₇₉	C₂×#41	1	2	yes	—
522	C₄×D₇₉	C₂×#41	1	2	yes	—
523	Dic₁₅₈	—	2	2	no	—
524	Dic₁₅₈	—	2	4	no	—
525	C₈×C₇₉	—	2	1	no	—
526	C₈×C₇₉	—	2	1	no	—
527	C₈×C₇₉	—	2	2	no	—
528	C₈×C₇₉	—	2	2	no	—
529	C₈×C₇₉	C₂×#41	1	2	yes	—
530	C₈×C₇₉	C₂×#41	1	2	yes	—
531	C₇₉⋊C₈	—	2	1	no	—
532	C₇₉⋊C₈	—	2	1	no	—
533	C₇₉⋊C₈	—	2	2	no	—
534	C₇₉⋊C₈	—	2	2	no	—
535	C₇₉⋊C₈	C₂×#41	1	2	yes	—
536	C₇₉⋊C₈	C₂×#41	1	2	yes	—
537	C₂²×C₇₉	—	2	1	no	—
538	C₂²×C₇₉	—	2	1	no	—
539	C₂²×C₇₉	—	2	2	no	—
540	C₂²×C₇₉	—	2	2	no	—
541	C₂²×C₇₉	—	2	2	no	—
542	C₂²×C₇₉	C₂×#131	1	2	yes	—
543	C₂²×C₇₉	C₂⁴×C₄	1	1	yes	characteristic
544	C₂×D₇₉	—	2	1	no	—
545	C₂×D₇₉	—	2	1	no	—
546	C₂×D₇₉	—	2	8	no	—
547	C₂×D₇₉	—	2	2	no	—
548	C₂×D₇₉	—	2	2	no	—
549	C₂×D₇₉	—	2	2	no	—
550	C₂×D₇₉	—	4	8	no	—
551	C₂×D₇₉	C₄×#41	1	2	yes	—
552	C₂×D₇₉	C₂×#131	1	2	yes	—
553	C₂×D₇₉	C₂×#131	1	2	yes	—
554	C₂×D₇₉	C₂×#131	1	2	yes	—
555	C₄×C₇₉	—	2	1	no	—
556	C₄×C₇₉	—	2	2	no	—
557	C₄×C₇₉	—	2	1	no	—
558	C₄×C₇₉	—	2	1	no	—
559	C₄×C₇₉	—	2	1	no	—
560	C₄×C₇₉	—	2	2	no	—
561	C₄×C₇₉	—	2	2	no	—
562	C₄×C₇₉	C₂×#131	1	2	yes	—
563	C₄×C₇₉	C₂²×#41	1	1	yes	characteristic
564	C₄×C₇₉	C₂²×#41	1	1	yes	characteristic
565	Dic₇₉	—	2	1	no	—
566	Dic₇₉	—	2	2	no	—
567	Dic₇₉	—	2	2	no	—
568	Dic₇₉	—	2	2	no	—
569	Dic₇₉	—	2	1	no	—
570	Dic₇₉	—	2	1	no	—
571	Dic₇₉	—	2	1	no	—
572	Dic₇₉	C₄×#41	1	2	yes	—
573	Dic₇₉	C₂×#131	1	2	yes	—
574	C₂×#2966	—	79	1	no	maximal, Sylow
575	C₂×C₇₉	—	2	2	no	—
576	C₂×C₇₉	—	4	2	no	—
577	C₂×C₇₉	C₂×C₄×#41	1	1	yes	characteristic
578	C₂×C₇₉	C₂²×#131	1	1	yes	characteristic
579	C₂×C₇₉	C₂²×#131	1	1	yes	characteristic
580	D₇₉	—	2	2	no	—
581	D₇₉	—	4	2	no	—
582	D₇₉	#2966	1	4	yes	direct product factor
583	C₂×#529	—	79	1	no	—
584	#2966	—	79	1	no	—
585	#2966	—	79	1	no	—
586	#2966	—	79	1	no	—
587	#2966	—	79	2	no	—
588	#2966	—	79	2	no	—
589	#2966	—	79	1	no	—
590	#2966	—	79	2	no	—
591	#2966	—	79	1	no	—
592	#2966	—	79	2	no	—
593	#2966	—	79	1	no	—
594	#2966	—	79	1	no	—
595	#2966	D₇₉	1	1	yes	characteristic, direct product factor
596	C₂×#446	—	79	1	no	—
597	C₂×C₈×Q₈	—	79	1	no	—
598	C₂×#436	—	79	1	no	—
599	C₂×#435	—	79	2	no	—
600	C₂×C₈×D₄	—	79	2	no	—
601	C₂×C₈×D₄	—	79	1	no	—
602	C₂×#433	—	79	2	no	—
603	C₂×#432	—	79	1	no	—
604	C₂×#405	—	79	2	no	—
605	C₂²×C₄×C₈	—	79	1	no	—
606	C₇₉	C₂×#2966	1	1	yes	characteristic, complemented, Sylow
607	C₂²×M₁₆	—	79	2	no	—
608	C₂³×C₈	—	79	1	no	—
609	C₂³×C₈	—	79	1	no	—
610	C₂³×C₈	—	79	2	no	—
611	#529	—	79	2	no	—
612	#529	—	79	1	no	—
613	#529	—	79	1	no	—
614	#529	—	79	2	no	—
615	#529	—	79	1	no	—
616	#529	—	79	1	no	—
617	#529	—	79	1	no	—
618	#529	—	79	2	no	—
619	#529	—	79	1	no	—
620	#529	—	79	2	no	—
621	#529	—	79	1	no	—
622	#529	C₂×D₇₉	1	1	yes	characteristic
623	C₂×#126	—	79	2	no	—
624	C₂×#125	—	79	1	no	—
625	C₂×#124	—	79	1	no	—
626	C₂×#123	—	79	2	no	—
627	C₂×C₂²⋊Q₈	—	79	1	no	—
628	C₂×#121	—	79	1	no	—
629	C₂×C₄×Q₈	—	79	1	no	—
630	C₂×C₄×D₄	—	79	2	no	—
631	C₂×C₄×D₄	—	79	1	no	—
632	C₂×#117	—	79	2	no	—
633	C₂²×C₄²	—	79	1	no	—
634	#446	—	79	1	no	—
635	#446	—	79	1	no	—
636	#446	—	79	2	no	—
637	#446	—	79	2	no	—
638	#446	—	79	1	no	—
639	#446	C₂×D₇₉	1	1	yes	characteristic, complemented
640	C₈×Q₈	—	79	1	no	—
641	C₈×Q₈	—	79	2	no	—
642	C₈×Q₈	—	79	1	no	—
643	C₈×Q₈	—	79	2	no	—
644	C₈×Q₈	—	79	1	no	—
645	C₈×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
646	#436	—	79	2	no	—
647	#436	—	79	1	no	—
648	#436	—	79	1	no	—
649	#436	—	79	2	no	—
650	#436	—	79	1	no	—
651	#436	C₂×D₇₉	1	1	yes	characteristic, complemented
652	#435	—	79	2	no	—
653	#435	—	79	2	no	—
654	#435	—	79	2	no	—
655	#435	—	79	2	no	—
656	#435	—	79	2	no	—
657	#435	—	79	2	no	—
658	#435	—	79	2	no	—
659	#435	C₂×D₇₉	1	2	yes	complemented
660	C₈×D₄	—	79	2	no	—
661	C₈×D₄	—	79	2	no	—
662	C₈×D₄	—	79	2	no	—
663	C₈×D₄	—	79	1	no	—
664	C₈×D₄	—	79	2	no	—
665	C₈×D₄	—	79	1	no	—
666	C₈×D₄	—	79	2	no	—
667	C₈×D₄	—	79	2	no	—
668	C₈×D₄	—	79	2	no	—
669	C₈×D₄	—	79	2	no	—
670	C₈×D₄	—	79	1	no	—
671	C₈×D₄	—	79	2	no	—
672	C₈×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
673	C₈×D₄	C₂×D₇₉	1	2	yes	complemented
674	#433	—	79	2	no	—
675	#433	—	79	2	no	—
676	#433	—	79	2	no	—
677	#433	—	79	2	no	—
678	#433	—	79	2	no	—
679	#433	—	79	2	no	—
680	#433	—	79	2	no	—
681	#433	C₂×D₇₉	1	2	yes	complemented
682	#432	—	79	1	no	—
683	#432	—	79	1	no	—
684	#432	—	79	1	no	—
685	#432	—	79	2	no	—
686	#432	—	79	2	no	—
687	#432	C₂×D₇₉	1	1	yes	characteristic, complemented
688	C₂×C₄⋊C₈	—	79	1	no	—
689	C₂×C₄⋊C₈	—	79	1	no	—
690	C₂×C₄⋊C₈	—	79	2	no	—
691	C₂×C₄⋊C₈	—	79	2	no	—
692	C₂×C₂²⋊C₈	—	79	2	no	—
693	C₂×C₂²⋊C₈	—	79	2	no	—
694	C₂×C₂²⋊C₈	—	79	2	no	—
695	#405	—	79	2	no	—
696	#405	—	79	2	no	—
697	#405	—	79	2	no	—
698	#405	—	79	2	no	—
699	#405	—	79	2	no	—
700	#405	—	79	2	no	—
701	#405	—	79	2	no	—
702	#405	C₂×D₇₉	1	2	yes	complemented
703	C₂×#97	—	79	2	no	—
704	C₂×#97	—	79	2	no	—
705	C₂×C₄×C₈	—	79	1	no	—
706	C₂×C₄×C₈	—	79	1	no	—
707	C₂×C₄×C₈	—	79	1	no	—
708	C₂×C₄×C₈	—	79	1	no	—
709	C₂×C₄×C₈	—	79	1	no	—
710	C₂×C₄×C₈	—	79	1	no	—
711	C₂×C₄×C₈	—	79	1	no	—
712	C₂×C₄×C₈	—	79	1	no	—
713	C₂×C₄×C₈	—	79	1	no	—
714	C₂×C₄×C₈	—	79	1	no	—
715	C₂×C₄×C₈	—	79	1	no	—
716	C₂×C₄×C₈	—	79	2	no	—
717	C₂×C₄×C₈	C₂×D₇₉	1	1	yes	characteristic, complemented
718	C₂²×Q₈	—	79	1	no	—
719	C₂²×D₄	—	79	2	no	—
720	C₂²×D₄	—	79	1	no	—
721	C₂³×C₄	—	79	1	no	—
722	C₂³×C₄	—	79	1	no	—
723	C₂³×C₄	—	79	2	no	—
724	C₂³×C₄	—	79	1	no	—
725	C₂×M₁₆	—	79	2	no	—
726	C₂×M₁₆	—	79	2	no	—
727	C₂×M₁₆	—	79	2	no	—
728	C₂×M₁₆	—	158	8	no	—
729	C₂×M₁₆	C₂²×D₇₉	1	2	yes	—
730	C₂²×C₈	—	79	1	no	—
731	C₂²×C₈	—	79	1	no	—
732	C₂²×C₈	—	79	1	no	—
733	C₂²×C₈	—	79	1	no	—
734	C₂²×C₈	—	79	2	no	—
735	C₂²×C₈	—	79	1	no	—
736	C₂²×C₈	—	79	1	no	—
737	C₂²×C₈	—	79	1	no	—
738	C₂²×C₈	—	79	1	no	—
739	C₂²×C₈	—	79	1	no	—
740	C₂²×C₈	—	79	2	no	—
741	C₂²×C₈	—	79	2	no	—
742	C₂²×C₈	—	79	2	no	—
743	C₂²×C₈	—	79	1	no	—
744	C₂²×C₈	—	79	2	no	—
745	C₂²×C₈	—	158	4	no	—
746	C₂²×C₈	—	158	8	no	—
747	C₂²×C₈	—	158	4	no	—
748	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
749	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
750	C₂²×C₈	C₂²×D₇₉	1	2	yes	—
751	#126	—	79	2	no	—
752	#126	—	79	2	no	—
753	#126	—	79	2	no	—
754	#126	—	79	2	no	—
755	#126	—	79	2	no	—
756	#126	—	79	2	no	—
757	#126	—	79	2	no	—
758	#126	C₄×D₇₉	1	2	yes	—
759	#125	—	79	2	no	—
760	#125	—	79	2	no	—
761	#125	—	79	1	no	—
762	#125	—	79	1	no	—
763	#125	—	79	1	no	—
764	#125	C₄×D₇₉	1	1	yes	characteristic
765	#124	—	79	1	no	—
766	#124	—	79	1	no	—
767	#124	—	79	2	no	—
768	#124	—	79	2	no	—
769	#124	—	79	1	no	—
770	#124	C₄×D₇₉	1	1	yes	characteristic
771	#123	—	79	2	no	—
772	#123	—	79	2	no	—
773	#123	—	79	2	no	—
774	#123	—	79	2	no	—
775	#123	—	79	2	no	—
776	#123	—	79	2	no	—
777	#123	—	79	2	no	—
778	#123	C₄×D₇₉	1	2	yes	—
779	C₂²⋊Q₈	—	79	1	no	—
780	C₂²⋊Q₈	—	79	1	no	—
781	C₂²⋊Q₈	—	79	2	no	—
782	C₂²⋊Q₈	—	79	1	no	—
783	C₂²⋊Q₈	—	79	2	no	—
784	C₂²⋊Q₈	C₄×D₇₉	1	1	yes	characteristic
785	#121	—	79	1	no	—
786	#121	—	79	2	no	—
787	#121	—	79	1	no	—
788	#121	—	79	1	no	—
789	#121	—	79	2	no	—
790	#121	C₄×D₇₉	1	1	yes	characteristic
791	C₄×Q₈	—	79	1	no	—
792	C₄×Q₈	—	79	2	no	—
793	C₄×Q₈	—	79	1	no	—
794	C₄×Q₈	—	79	2	no	—
795	C₄×Q₈	—	79	1	no	—
796	C₄×Q₈	C₂²×D₇₉	1	1	yes	characteristic
797	C₄×D₄	—	79	1	no	—
798	C₄×D₄	—	79	2	no	—
799	C₄×D₄	—	79	2	no	—
800	C₄×D₄	—	79	2	no	—
801	C₄×D₄	—	79	2	no	—
802	C₄×D₄	—	79	1	no	—
803	C₄×D₄	—	79	2	no	—
804	C₄×D₄	—	79	2	no	—
805	C₄×D₄	—	79	2	no	—
806	C₄×D₄	—	79	2	no	—
807	C₄×D₄	—	79	2	no	—
808	C₄×D₄	—	79	1	no	—
809	C₄×D₄	C₂²×D₇₉	1	2	yes	—
810	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
811	#117	—	79	2	no	—
812	#117	—	79	2	no	—
813	#117	—	79	2	no	—
814	#117	—	79	2	no	—
815	#117	—	79	2	no	—
816	#117	—	79	2	no	—
817	#117	—	79	2	no	—
818	#117	C₂²×D₇₉	1	2	yes	—
819	C₂×C₄⋊C₄	—	79	2	no	—
820	C₂×C₄⋊C₄	—	79	2	no	—
821	C₂×C₄⋊C₄	—	79	1	no	—
822	C₂×C₄⋊C₄	—	79	2	no	—
823	C₂×C₄⋊C₄	—	79	1	no	—
824	C₂×C₄⋊C₄	—	79	2	no	—
825	C₂×C₂²⋊C₄	—	79	2	no	—
826	C₂×C₂²⋊C₄	—	79	2	no	—
827	C₂×C₂²⋊C₄	—	79	2	no	—
828	C₂×C₂²⋊C₄	—	79	2	no	—
829	C₂×C₂²⋊C₄	—	79	2	no	—
830	C₂×C₄²	—	79	1	no	—
831	C₂×C₄²	—	79	1	no	—
832	C₂×C₄²	—	79	1	no	—
833	C₂×C₄²	—	79	1	no	—
834	C₂×C₄²	—	79	1	no	—
835	C₂×C₄²	—	79	1	no	—
836	C₂×C₄²	—	79	1	no	—
837	C₂×C₄²	—	79	1	no	—
838	C₂×C₄²	—	79	2	no	—
839	C₂×C₄²	—	79	1	no	—
840	C₂×C₄²	—	79	1	no	—
841	C₂×C₄²	—	79	1	no	—
842	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
843	C₄⋊C₈	—	79	2	no	—
844	C₄⋊C₈	—	79	2	no	—
845	C₄⋊C₈	—	79	2	no	—
846	C₄⋊C₈	—	79	2	no	—
847	C₄⋊C₈	—	79	2	no	—
848	C₄⋊C₈	—	79	2	no	—
849	C₄⋊C₈	—	79	1	no	—
850	C₄⋊C₈	—	79	1	no	—
851	C₄⋊C₈	—	79	2	no	—
852	C₄⋊C₈	—	79	2	no	—
853	C₄⋊C₈	C₂²×D₇₉	1	1	yes	characteristic
854	C₄⋊C₈	C₂²×D₇₉	1	1	yes	characteristic
855	C₄⋊C₈	C₂²×D₇₉	1	2	yes	—
856	C₄⋊C₈	C₂²×D₇₉	1	2	yes	—
857	C₂²⋊C₈	—	79	2	no	—
858	C₂²⋊C₈	—	79	2	no	—
859	C₂²⋊C₈	—	79	2	no	—
860	C₂²⋊C₈	—	79	2	no	—
861	C₂²⋊C₈	—	79	2	no	—
862	C₂²⋊C₈	—	79	2	no	—
863	C₂²⋊C₈	—	79	2	no	—
864	C₂²⋊C₈	—	79	2	no	—
865	C₂²⋊C₈	—	79	2	no	—
866	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
867	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
868	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
869	#97	—	79	2	no	—
870	#97	—	79	2	no	—
871	#97	—	79	2	no	—
872	#97	—	79	2	no	—
873	#97	—	79	2	no	—
874	#97	—	79	2	no	—
875	#97	C₂²×D₇₉	1	2	yes	—
876	#97	C₂²×D₇₉	1	2	yes	—
877	C₄×C₈	—	79	1	no	—
878	C₄×C₈	—	79	1	no	—
879	C₄×C₈	—	79	1	no	—
880	C₄×C₈	—	79	1	no	—
881	C₄×C₈	—	79	1	no	—
882	C₄×C₈	—	79	1	no	—
883	C₄×C₈	—	79	2	no	—
884	C₄×C₈	—	79	1	no	—
885	C₄×C₈	—	79	1	no	—
886	C₄×C₈	—	79	2	no	—
887	C₄×C₈	—	79	1	no	—
888	C₄×C₈	—	79	1	no	—
889	C₄×C₈	—	79	1	no	—
890	C₄×C₈	—	79	1	no	—
891	C₄×C₈	—	79	2	no	—
892	C₄×C₈	C₂²×D₇₉	1	1	yes	characteristic
893	C₄×C₈	C₂²×D₇₉	1	1	yes	characteristic
894	C₄×C₈	C₂²×D₇₉	1	1	yes	characteristic
895	C₄×C₈	C₂²×D₇₉	1	1	yes	characteristic
896	C₄×C₈	C₂²×D₇₉	1	2	yes	—
897	C₂⁴	—	79	1	no	—
898	C₂⁴	—	79	2	no	—
899	C₂×Q₈	—	79	2	no	—
900	C₂×Q₈	—	79	1	no	—
901	C₂×Q₈	—	158	4	no	—
902	C₂×Q₈	C₂×C₄×D₇₉	1	1	yes	characteristic
903	C₂×D₄	—	79	2	no	—
904	C₂×D₄	—	79	2	no	—
905	C₂×D₄	—	79	2	no	—
906	C₂×D₄	—	79	2	no	—
907	C₂×D₄	—	79	1	no	—
908	C₂×D₄	—	158	4	no	—
909	C₂×D₄	—	158	8	no	—
910	C₂×D₄	C₂×C₄×D₇₉	1	2	yes	—
911	C₂×D₄	C₂×C₄×D₇₉	1	1	yes	characteristic
912	C₂²×C₄	—	79	1	no	—
913	C₂²×C₄	—	79	1	no	—
914	C₂²×C₄	—	79	1	no	—
915	C₂²×C₄	—	79	1	no	—
916	C₂²×C₄	—	79	1	no	—
917	C₂²×C₄	—	79	2	no	—
918	C₂²×C₄	—	79	1	no	—
919	C₂²×C₄	—	79	2	no	—
920	C₂²×C₄	—	79	1	no	—
921	C₂²×C₄	—	79	1	no	—
922	C₂²×C₄	—	79	1	no	—
923	C₂²×C₄	—	79	1	no	—
924	C₂²×C₄	—	79	1	no	—
925	C₂²×C₄	—	79	1	no	—
926	C₂²×C₄	—	79	1	no	—
927	C₂²×C₄	—	79	1	no	—
928	C₂²×C₄	—	79	1	no	—
929	C₂²×C₄	—	79	2	no	—
930	C₂²×C₄	—	79	2	no	—
931	C₂²×C₄	—	79	2	no	—
932	C₂²×C₄	—	79	2	no	—
933	C₂²×C₄	—	158	4	no	—
934	C₂²×C₄	—	158	2	no	—
935	C₂²×C₄	—	158	2	no	—
936	C₂²×C₄	—	158	4	no	—
937	C₂²×C₄	—	158	4	no	—
938	C₂²×C₄	—	158	4	no	—
939	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
940	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
941	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
942	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
943	M₁₆	—	2	4	no	—
944	M₁₆	—	158	4	no	—
945	M₁₆	—	158	4	no	—
946	M₁₆	—	158	4	no	—
947	C₂×C₈	—	2	2	no	—
948	C₂×C₈	—	2	4	no	—
949	C₂×C₈	—	2	2	no	—
950	C₂×C₈	—	79	1	no	—
951	C₂×C₈	—	79	1	no	—
952	C₂×C₈	—	79	4	no	—
953	C₂×C₈	—	79	4	no	—
954	C₂×C₈	—	79	1	no	—
955	C₂×C₈	—	79	1	no	—
956	C₂×C₈	—	79	2	no	—
957	C₂×C₈	—	79	2	no	—
958	C₂×C₈	—	158	2	no	—
959	C₂×C₈	—	158	4	no	—
960	C₂×C₈	—	158	2	no	—
961	C₂×C₈	—	158	2	no	—
962	C₂×C₈	—	158	2	no	—
963	C₂×C₈	—	158	4	no	—
964	C₂×C₈	—	158	4	no	—
965	C₂×C₈	—	158	2	no	—
966	C₂×C₈	—	158	4	no	—
967	C₂×C₈	—	158	2	no	—
968	C₂×C₈	—	158	2	no	—
969	C₂×C₈	—	158	4	no	—
970	C₂×C₈	—	158	2	no	—
971	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
972	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
973	C₂×C₈	C₂³×D₇₉	1	2	yes	—
974	C₂×C₈	C₂³×D₇₉	1	2	yes	—
975	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
976	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
977	C₄⋊C₄	—	79	2	no	—
978	C₄⋊C₄	—	79	2	no	—
979	C₄⋊C₄	—	79	2	no	—
980	C₄⋊C₄	—	79	2	no	—
981	C₄⋊C₄	—	79	2	no	—
982	C₄⋊C₄	—	79	2	no	—
983	C₄⋊C₄	—	79	2	no	—
984	C₄⋊C₄	—	79	2	no	—
985	C₄⋊C₄	—	79	2	no	—
986	C₄⋊C₄	—	79	2	no	—
987	C₄⋊C₄	—	79	2	no	—
988	C₄⋊C₄	—	79	2	no	—
989	C₄⋊C₄	—	79	1	no	—
990	C₄⋊C₄	—	79	2	no	—
991	C₄⋊C₄	—	79	1	no	—
992	C₄⋊C₄	—	79	2	no	—
993	C₄⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
994	C₄⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
995	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
996	C₄⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
997	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
998	C₄⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
999	C₂²⋊C₄	—	79	2	no	—
1000	C₂²⋊C₄	—	79	2	no	—
1001	C₂²⋊C₄	—	79	2	no	—
1002	C₂²⋊C₄	—	79	2	no	—
1003	C₂²⋊C₄	—	79	2	no	—
1004	C₂²⋊C₄	—	79	2	no	—
1005	C₂²⋊C₄	—	79	2	no	—
1006	C₂²⋊C₄	—	79	2	no	—
1007	C₂²⋊C₄	—	79	2	no	—
1008	C₂²⋊C₄	—	79	2	no	—
1009	C₂²⋊C₄	—	79	2	no	—
1010	C₂²⋊C₄	—	79	2	no	—
1011	C₂²⋊C₄	—	79	2	no	—
1012	C₂²⋊C₄	—	79	2	no	—
1013	C₂²⋊C₄	—	79	2	no	—
1014	C₂²⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
1015	C₂²⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
1016	C₂²⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
1017	C₂²⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
1018	C₂²⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
1019	C₄²	—	79	1	no	—
1020	C₄²	—	79	1	no	—
1021	C₄²	—	79	2	no	—
1022	C₄²	—	79	1	no	—
1023	C₄²	—	79	1	no	—
1024	C₄²	—	79	1	no	—
1025	C₄²	—	79	1	no	—
1026	C₄²	—	79	1	no	—
1027	C₄²	—	79	1	no	—
1028	C₄²	—	79	1	no	—
1029	C₄²	—	79	1	no	—
1030	C₄²	—	79	1	no	—
1031	C₄²	—	79	1	no	—
1032	C₄²	—	79	2	no	—
1033	C₄²	—	79	2	no	—
1034	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
1035	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
1036	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1037	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1038	C₄²	C₂³×D₇₉	1	2	yes	—
1039	C₂³	—	79	1	no	—
1040	C₂³	—	79	4	no	—
1041	C₂³	—	79	1	no	—
1042	C₂³	—	79	2	no	—
1043	C₂³	—	158	4	no	—
1044	C₂³	—	158	4	no	—
1045	C₂³	—	158	4	no	—
1046	C₂³	—	158	2	no	—
1047	C₂³	—	158	2	no	—
1048	C₂³	C₂²×C₄×D₇₉	1	2	yes	—
1049	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1050	Q₈	—	2	2	no	—
1051	Q₈	—	158	4	no	—
1052	Q₈	—	158	2	no	—
1053	D₄	—	2	4	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	158	4	no	—
1056	D₄	—	158	4	no	—
1057	D₄	—	158	4	no	—
1058	D₄	—	158	4	no	—
1059	D₄	—	158	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	79	1	no	—
1067	C₂×C₄	—	79	1	no	—
1068	C₂×C₄	—	79	4	no	—
1069	C₂×C₄	—	79	2	no	—
1070	C₂×C₄	—	79	2	no	—
1071	C₂×C₄	—	79	1	no	—
1072	C₂×C₄	—	79	1	no	—
1073	C₂×C₄	—	79	1	no	—
1074	C₂×C₄	—	79	1	no	—
1075	C₂×C₄	—	79	2	no	—
1076	C₂×C₄	—	79	2	no	—
1077	C₂×C₄	—	79	2	no	—
1078	C₂×C₄	—	158	2	no	—
1079	C₂×C₄	—	158	4	no	—
1080	C₂×C₄	—	158	2	no	—
1081	C₂×C₄	—	158	2	no	—
1082	C₂×C₄	—	158	2	no	—
1083	C₂×C₄	—	158	2	no	—
1084	C₂×C₄	—	158	2	no	—
1085	C₂×C₄	—	158	2	no	—
1086	C₂×C₄	—	158	2	no	—
1087	C₂×C₄	—	158	4	no	—
1088	C₂×C₄	—	158	4	no	—
1089	C₂×C₄	—	158	4	no	—
1090	C₂×C₄	—	158	2	no	—
1091	C₂×C₄	—	158	2	no	—
1092	C₂×C₄	—	158	4	no	—
1093	C₂×C₄	—	158	2	no	—
1094	C₂×C₄	—	158	2	no	—
1095	C₂×C₄	—	158	2	no	—
1096	C₂×C₄	—	158	1	no	—
1097	C₂×C₄	—	158	1	no	—
1098	C₂×C₄	—	158	2	no	—
1099	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1100	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1101	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1102	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1103	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1104	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1105	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1106	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1107	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1108	C₈	—	2	1	no	—
1109	C₈	—	2	1	no	—
1110	C₈	—	2	2	no	—
1111	C₈	—	2	2	no	—
1112	C₈	—	79	2	no	—
1113	C₈	—	79	2	no	—
1114	C₈	—	158	1	no	—
1115	C₈	—	158	1	no	—
1116	C₈	—	158	2	no	—
1117	C₈	—	158	2	no	—
1118	C₈	#41×D₇₉	1	2	yes	—
1119	C₈	#41×D₇₉	1	2	yes	—
1120	C₂²	—	2	1	no	—
1121	C₂²	—	2	1	no	—
1122	C₂²	—	2	2	no	—
1123	C₂²	—	2	2	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	316	8	no	—
1126	C₂²	—	79	2	no	—
1127	C₂²	—	79	2	no	—
1128	C₂²	—	79	2	no	—
1129	C₂²	—	79	2	no	—
1130	C₂²	—	158	8	no	—
1131	C₂²	—	158	2	no	—
1132	C₂²	—	158	2	no	—
1133	C₂²	—	158	2	no	—
1134	C₂²	—	158	1	no	—
1135	C₂²	—	158	1	no	—
1136	C₂²	#131×D₇₉	1	2	yes	—
1137	C₂²	C₂³×C₄×D₇₉	1	1	yes	characteristic
1138	C₄	—	2	1	no	—
1139	C₄	—	2	1	no	—
1140	C₄	—	2	1	no	—
1141	C₄	—	2	2	no	—
1142	C₄	—	2	2	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	2	no	—
1145	C₄	—	79	2	no	—
1146	C₄	—	79	2	no	—
1147	C₄	—	158	1	no	—
1148	C₄	—	158	1	no	—
1149	C₄	—	158	1	no	—
1150	C₄	—	158	2	no	—
1151	C₄	—	158	2	no	—
1152	C₄	—	158	1	no	—
1153	C₄	—	158	2	no	—
1154	C₄	#131×D₇₉	1	2	yes	—
1155	C₄	C₂×#41×D₇₉	1	1	yes	characteristic
1156	C₄	C₂×#41×D₇₉	1	1	yes	characteristic
1157	C₂	—	2	2	no	—
1158	C₂	—	4	2	no	—
1159	C₂	—	316	2	no	—
1160	C₂	—	79	4	no	—
1161	C₂	—	158	2	no	—
1162	C₂	C₄×#41×D₇₉	1	1	yes	characteristic
1163	C₂	C₂×#131×D₇₉	1	1	yes	characteristic
1164	C₂	C₂×#131×D₇₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	C₂³×D₇₉
commutator, socle	C₂²×C₇₉	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₇₉
Fitting	C₇₉×#2966	C₂
prime radical	#121×D₇₉	C₄
cosocle	C₂×C₄×C₇₉	C₂⁵
hypercenter	#2966	D₇₉
hypocenter	C₇₉	C₂×#2966
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂×C₈ ◁ #2966

Complements

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

N	H ≅ G/N	type
2. #23772378	C₂	semidirect
3. #23772377	C₂	semidirect
4. #23772376	C₂	semidirect
5. #23772375	C₂	semidirect
6. #23772374	C₂	semidirect
7. #23772373	C₂	semidirect
8. #23772372	C₂	semidirect
9. #23772371	C₂	semidirect
10. #23772370	C₂	semidirect
11. #23772369	C₂	semidirect
12. #23772368	C₂	semidirect
13. #446×D₇₉	C₂	semidirect
14. C₈×Q₈×D₇₉	C₂	semidirect
15. #436×D₇₉	C₂	semidirect
16. #435×D₇₉	C₂	semidirect
17. C₈×D₄×D₇₉	C₂	semidirect
18. C₈×D₄×D₇₉	C₂	semidirect
19. #433×D₇₉	C₂	semidirect
20. #432×D₇₉	C₂	semidirect
21. #405×D₇₉	C₂	semidirect
22. C₂×C₄×C₈×D₇₉	C₂	semidirect
23. C₇₉×#2966	C₂	semidirect
50. #19098694	C₂²	semidirect
51. #19098693	C₂²	semidirect
52. #19098692	C₂²	semidirect
53. #19098691	C₂²	semidirect
54. #19098690	C₂²	semidirect
55. Q₈×C₇₉⋊C₈	C₂²	semidirect
56. C₈×Dic₁₅₈	C₂²	semidirect
57. C₈×Dic₁₅₈	C₂²	semidirect
58. #19098687	C₂²	semidirect
59. #19098687	C₂²	semidirect
60. #19098642	C₂²	semidirect
61. #19098641	C₂²	semidirect
62. #19098640	C₂²	semidirect
63. #19098639	C₂²	semidirect
64. #19098638	C₂²	semidirect
65. #19098637	C₂²	semidirect
66. #19098636	C₂²	semidirect
67. #19098635	C₂²	semidirect
68. #19098634	C₂²	semidirect
69. #19098633	C₂²	semidirect
70. #19098632	C₂²	semidirect
71. #19098631	C₂²	semidirect
72. C₈×D₃₁₆	C₂²	semidirect
73. C₈×D₃₁₆	C₂²	semidirect
74. D₄×C₇₉⋊C₈	C₂²	semidirect
75. D₄×C₇₉⋊C₈	C₂²	semidirect
76. #19098628	C₂²	semidirect
77. #19098628	C₂²	semidirect
78. C₈×C₂²⋊D₇₉	C₂²	semidirect
79. C₈×C₂²⋊D₇₉	C₂²	semidirect
80. C₈×C₂²⋊D₇₉	C₂²	semidirect
81. (C₂²⋊D₇₉)⋊C₈	C₂²	semidirect
82. (C₂²⋊D₇₉)⋊C₈	C₂²	semidirect
83. (C₂²⋊D₇₉)⋊C₈	C₂²	semidirect
84. #19098625	C₂²	semidirect
85. #19098624	C₂²	semidirect
86. #19098623	C₂²	semidirect
87. #19098623	C₂²	semidirect
88. #19098622	C₂²	semidirect
89. #19098621	C₂²	semidirect
90. #19098621	C₂²	semidirect
91. #19098620	C₂²	semidirect
92. #19098619	C₂²	semidirect
93. #19098619	C₂²	semidirect
94. #19098618	C₂²	semidirect
95. #19098617	C₂²	semidirect
103. #19098521	C₂²	semidirect
104. #19098520	C₂²	semidirect
105. #19098520	C₂²	semidirect
106. #19098519	C₂²	semidirect
107. #19098518	C₂²	semidirect
108. #19098517	C₂²	semidirect
109. #19098517	C₂²	semidirect
112. C₂×C₄×C₇₉⋊C₈	C₂²	semidirect
113. C₂×C₈×Dic₇₉	C₂²	semidirect
114. C₂×C₈×Dic₇₉	C₂²	semidirect
120. C₄×C₈×D₇₉	C₂²	semidirect
121. C₄×C₈×D₇₉	C₂²	semidirect
122. C₄×C₈×D₇₉	C₂²	semidirect
123. C₄×C₈×D₇₉	C₂²	semidirect
125. #446×C₇₉	C₂²	semidirect
126. C₈×Q₈×C₇₉	C₂²	semidirect
127. #436×C₇₉	C₂²	semidirect
128. #435×C₇₉	C₂²	semidirect
129. C₈×D₄×C₇₉	C₂²	semidirect
130. C₈×D₄×C₇₉	C₂²	semidirect
131. #433×C₇₉	C₂²	semidirect
132. #432×C₇₉	C₂²	semidirect
133. #405×C₇₉	C₂²	semidirect
134. C₂×C₄×C₈×C₇₉	C₂²	semidirect
582. D₇₉	#2966	direct (N × H)
595. #2966	D₇₉	direct (N × H)
606. C₇₉	C₂×#2966	semidirect
639. #446	C₂×D₇₉	semidirect
645. C₈×Q₈	C₂×D₇₉	semidirect
651. #436	C₂×D₇₉	semidirect
659. #435	C₂×D₇₉	semidirect
672. C₈×D₄	C₂×D₇₉	semidirect
673. C₈×D₄	C₂×D₇₉	semidirect
681. #433	C₂×D₇₉	semidirect
687. #432	C₂×D₇₉	semidirect
702. #405	C₂×D₇₉	semidirect
717. C₂×C₄×C₈	C₂×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#529×D₇₉	2
#23772378	2
#23772377	2
#23772376	2
#23772375	2
#23772374	2
#23772373	2
#23772372	2
#23772371	2
#23772370	2
#23772369	2
#23772368	2
#446×D₇₉	2
C₈×Q₈×D₇₉	2
#436×D₇₉	2
#435×D₇₉	2
C₈×D₄×D₇₉	2
#433×D₇₉	2
#432×D₇₉	2
#405×D₇₉	2
C₂×C₄×C₈×D₇₉	2
C₇₉×#2966	2
C₂×#2966	79

Subgroups — #2966×D79 #35152713

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2966×D₇₉ #35152713