Subgroups — C₇₉×#62017 #34173706

Order 20224.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1078 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₉×#3561	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₉×#3520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₉×#3402	C₂	1	2	yes	maximal, complemented
4	C₇₉×#3367	C₂	1	2	yes	maximal, complemented
5	C₇₉×#3314	C₂	1	2	yes	maximal, complemented
6	C₇₉×#3308	C₂	1	2	yes	maximal, complemented
7	C₇₉×#3299	C₂	1	2	yes	maximal, complemented
8	C₇₉×#3280	C₂	1	2	yes	maximal, complemented
9	C₇₉×#3269	C₂	1	2	yes	maximal, complemented
10	C₇₉×#3266	C₂	1	2	yes	maximal, complemented
11	C₇₉×#3262	C₂	1	2	yes	maximal, complemented
12	C₇₉×#3249	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₉×#3225	C₂	1	2	yes	maximal, complemented
14	C₇₉×#3215	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₉×#3124	C₂	1	2	yes	maximal, complemented
16	C₇₉×#3110	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₉×#3046	C₂	1	2	yes	maximal, complemented
18	C₂×#463×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₉×#2992	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#137×C₇₉	C₂²	1	2	yes	complemented
21	C₂×#135×C₇₉	C₂²	1	2	yes	—
22	C₂²×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic
23	C₂²×D₈×C₇₉	C₂²	1	1	yes	characteristic
24	#563×C₇₉	—	2	1	no	—
25	#562×C₇₉	—	2	1	no	—
26	#556×C₇₉	C₂²	1	2	yes	complemented
27	#556×C₇₉	C₂²	1	1	yes	characteristic, complemented
28	#554×C₇₉	C₂²	1	2	yes	—
29	#552×C₇₉	—	2	1	no	—
30	#551×C₇₉	—	2	2	no	—
31	#551×C₇₉	—	2	2	no	—
32	D₄×Q₈×C₇₉	C₂²	1	2	yes	—
33	D₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
34	#548×C₇₉	—	2	1	no	—
35	#548×C₇₉	C₂²	1	2	yes	complemented
36	#547×C₇₉	C₂²	1	1	yes	characteristic, complemented
37	#547×C₇₉	C₂²	1	1	yes	characteristic, complemented
38	#546×C₇₉	C₂²	1	2	yes	—
39	#546×C₇₉	C₂²	1	2	yes	—
40	#543×C₇₉	—	2	1	no	—
41	#542×C₇₉	—	2	2	no	—
42	#542×C₇₉	C₂²	1	2	yes	complemented
43	#542×C₇₉	C₂²	1	2	yes	complemented
44	#539×C₇₉	—	2	2	no	—
45	#538×C₇₉	—	2	1	no	—
46	#536×C₇₉	C₂²	1	2	yes	complemented
47	#533×C₇₉	C₂²	1	1	yes	characteristic
48	#533×C₇₉	C₂²	1	1	yes	characteristic
49	#529×C₇₉	C₂²	1	1	yes	characteristic
50	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic
51	#525×C₇₉	—	2	1	no	—
52	C₂×C₂²⋊Q₈×C₇₉	—	2	1	no	—
53	#520×C₇₉	C₂²	1	2	yes	complemented
54	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
55	#497×C₇₉	C₂²	1	2	yes	complemented
56	#497×C₇₉	C₂²	1	2	yes	complemented
57	#495×C₇₉	C₂²	1	2	yes	—
58	#489×C₇₉	C₂²	1	2	yes	complemented
59	#489×C₇₉	C₂²	1	2	yes	complemented
60	#487×C₇₉	C₂²	1	2	yes	complemented
61	#484×C₇₉	C₂²	1	2	yes	—
62	#484×C₇₉	C₂²	1	2	yes	complemented
63	#480×C₇₉	C₂²	1	2	yes	complemented
64	#477×C₇₉	C₂²	1	2	yes	complemented
65	#477×C₇₉	C₂²	1	2	yes	complemented
66	#477×C₇₉	C₂²	1	2	yes	complemented
67	#474×C₇₉	C₂²	1	2	yes	complemented
68	#474×C₇₉	C₂²	1	1	yes	characteristic, complemented
69	#474×C₇₉	C₂²	1	1	yes	characteristic, complemented
70	#468×C₇₉	C₂²	1	2	yes	complemented
71	#468×C₇₉	C₂²	1	2	yes	complemented
72	#467×C₇₉	C₂²	1	2	yes	—
73	#467×C₇₉	C₂²	1	2	yes	—
74	#467×C₇₉	C₂²	1	2	yes	complemented
75	#466×C₇₉	C₂²	1	2	yes	—
76	#464×C₇₉	C₂²	1	2	yes	complemented
77	#464×C₇₉	C₂²	1	2	yes	complemented
78	#464×C₇₉	C₂²	1	2	yes	complemented
79	#464×C₇₉	C₂²	1	2	yes	complemented
80	#463×C₇₉	C₂²	1	2	yes	—
81	#463×C₇₉	C₂²	1	2	yes	—
82	#463×C₇₉	C₂²	1	2	yes	—
83	#463×C₇₉	C₂²	1	2	yes	—
84	#463×C₇₉	C₂²	1	2	yes	—
85	#463×C₇₉	C₂²	1	2	yes	—
86	#462×C₇₉	C₂²	1	2	yes	complemented
87	#462×C₇₉	C₂²	1	2	yes	complemented
88	#462×C₇₉	C₂²	1	2	yes	complemented
89	#461×C₇₉	C₂²	1	1	yes	characteristic, complemented
90	#461×C₇₉	C₂²	1	2	yes	complemented
91	#461×C₇₉	C₂²	1	1	yes	characteristic, complemented
92	#452×C₇₉	C₂²	1	2	yes	complemented
93	#452×C₇₉	C₂²	1	2	yes	complemented
94	#451×C₇₉	C₂²	1	2	yes	—
95	#451×C₇₉	C₂²	1	2	yes	complemented
96	#450×C₇₉	C₂²	1	2	yes	—
97	#450×C₇₉	C₂²	1	2	yes	—
98	#449×C₇₉	C₂²	1	2	yes	—
99	#449×C₇₉	C₂²	1	2	yes	—
100	#448×C₇₉	C₂²	1	2	yes	complemented
101	#446×C₇₉	C₂²	1	2	yes	complemented
102	#440×C₇₉	C₂²	1	2	yes	complemented
103	#440×C₇₉	C₂²	1	2	yes	complemented
104	#440×C₇₉	C₂²	1	2	yes	complemented
105	#440×C₇₉	C₂²	1	2	yes	complemented
106	C₄×Q₁₆×C₇₉	C₂²	1	2	yes	complemented
107	C₄×D₈×C₇₉	C₂²	1	2	yes	—
108	#435×C₇₉	C₂²	1	2	yes	—
109	#435×C₇₉	C₂²	1	2	yes	complemented
110	C₈×D₄×C₇₉	C₂²	1	2	yes	—
111	#433×C₇₉	C₂²	1	2	yes	complemented
112	#432×C₇₉	C₂²	1	1	yes	characteristic
113	#424×C₇₉	C₂²	1	2	yes	complemented
114	C₂×C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
115	#417×C₇₉	C₂²	1	2	yes	complemented
116	C₂×#103×C₇₉	C₂²	1	1	yes	characteristic
117	C₂×#103×C₇₉	C₂²	1	2	yes	complemented
118	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
119	C₂×#41×C₇₉	—	2	1	no	—
120	C₂×#41×C₇₉	C₂³	1	2	yes	—
121	C₂×#41×C₇₉	C₂³	1	2	yes	—
122	C₂²×Q₈×C₇₉	—	2	1	no	—
123	C₂²×Q₈×C₇₉	C₂³	1	2	yes	—
124	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₇₉	—	2	1	no	—
128	#137×C₇₉	—	4	4	no	—
129	#135×C₇₉	—	4	4	no	—
130	C₂×Q₁₆×C₇₉	C₂³	1	2	yes	—
131	C₂×Q₁₆×C₇₉	C₂³	1	2	yes	—
132	C₂×Q₁₆×C₇₉	C₂³	1	2	yes	—
133	C₂×Q₁₆×C₇₉	C₂³	1	2	yes	—
134	C₂×SD₁₆×C₇₉	—	4	2	no	—
135	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
136	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
137	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
138	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
139	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
140	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
141	C₂×D₈×C₇₉	—	4	2	no	—
142	C₂×D₈×C₇₉	C₂³	1	2	yes	—
143	C₂×D₈×C₇₉	C₂³	1	2	yes	—
144	C₂×M₁₆×C₇₉	C₂³	1	2	yes	—
145	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
146	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
147	C₂²×C₈×C₇₉	C₂³	1	2	yes	—
148	C₄⋊Q₈×C₇₉	—	2	2	no	—
149	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
150	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	—
151	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
152	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
153	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	—
154	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
155	#126×C₇₉	—	2	2	no	—
156	#126×C₇₉	—	2	2	no	—
157	#126×C₇₉	—	2	2	no	—
158	#126×C₇₉	—	2	2	no	—
159	#126×C₇₉	—	2	2	no	—
160	#126×C₇₉	D₄	1	2	yes	—
161	#125×C₇₉	—	2	2	no	—
162	#125×C₇₉	—	2	1	no	—
163	#125×C₇₉	—	2	1	no	—
164	#125×C₇₉	D₄	1	1	yes	characteristic
165	#124×C₇₉	—	2	2	no	—
166	#124×C₇₉	—	2	2	no	—
167	#124×C₇₉	—	2	2	no	—
168	#124×C₇₉	—	2	1	no	—
169	#124×C₇₉	—	2	1	no	—
170	#124×C₇₉	D₄	1	1	yes	characteristic
171	#124×C₇₉	C₂³	1	2	yes	—
172	#124×C₇₉	C₂³	1	2	yes	—
173	#124×C₇₉	C₂³	1	2	yes	—
174	#124×C₇₉	C₂³	1	2	yes	—
175	#123×C₇₉	—	2	2	no	—
176	#123×C₇₉	—	2	2	no	—
177	#123×C₇₉	—	2	2	no	—
178	#123×C₇₉	—	2	2	no	—
179	#123×C₇₉	—	2	2	no	—
180	#123×C₇₉	—	2	2	no	—
181	#123×C₇₉	—	2	2	no	—
182	#123×C₇₉	—	2	2	no	—
183	#123×C₇₉	D₄	1	2	yes	—
184	C₂²⋊Q₈×C₇₉	—	2	1	no	—
185	C₂²⋊Q₈×C₇₉	—	2	2	no	—
186	C₂²⋊Q₈×C₇₉	—	2	1	no	—
187	C₂²⋊Q₈×C₇₉	—	2	1	no	—
188	C₂²⋊Q₈×C₇₉	—	2	2	no	—
189	C₂²⋊Q₈×C₇₉	—	2	1	no	—
190	C₂²⋊Q₈×C₇₉	—	2	1	no	—
191	C₂²⋊Q₈×C₇₉	—	2	2	no	—
192	C₂²⋊Q₈×C₇₉	—	2	2	no	—
193	C₂²⋊Q₈×C₇₉	—	2	2	no	—
194	C₂²⋊Q₈×C₇₉	—	2	2	no	—
195	C₂²⋊Q₈×C₇₉	—	2	2	no	—
196	C₂²⋊Q₈×C₇₉	—	2	2	no	—
197	C₂²⋊Q₈×C₇₉	—	2	2	no	—
198	C₂²⋊Q₈×C₇₉	—	2	2	no	—
199	C₂²⋊Q₈×C₇₉	—	2	2	no	—
200	C₂²⋊Q₈×C₇₉	D₄	1	1	yes	characteristic
201	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
202	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
203	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
204	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
205	#121×C₇₉	—	2	1	no	—
206	#121×C₇₉	—	2	2	no	—
207	#121×C₇₉	—	2	2	no	—
208	#121×C₇₉	—	2	2	no	—
209	#121×C₇₉	D₄	1	1	yes	characteristic
210	#121×C₇₉	C₂³	1	2	yes	—
211	#121×C₇₉	C₂³	1	2	yes	—
212	#120×C₇₉	—	2	2	no	—
213	#120×C₇₉	—	2	2	no	—
214	C₄×Q₈×C₇₉	—	2	1	no	—
215	C₄×Q₈×C₇₉	—	2	1	no	—
216	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
217	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
218	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
219	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
220	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
221	C₄×D₄×C₇₉	—	2	2	no	—
222	C₄×D₄×C₇₉	—	2	2	no	—
223	C₄×D₄×C₇₉	—	2	2	no	—
224	C₄×D₄×C₇₉	—	2	2	no	—
225	C₄×D₄×C₇₉	—	2	2	no	—
226	C₄×D₄×C₇₉	—	2	1	no	—
227	C₄×D₄×C₇₉	—	2	1	no	—
228	C₄×D₄×C₇₉	C₂³	1	2	yes	—
229	C₄×D₄×C₇₉	C₂³	1	2	yes	—
230	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₇₉	C₂³	1	2	yes	—
235	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
236	#117×C₇₉	—	2	1	no	—
237	#117×C₇₉	—	2	1	no	—
238	#117×C₇₉	—	2	2	no	—
239	#117×C₇₉	—	2	1	no	—
240	#117×C₇₉	—	2	2	no	—
241	#117×C₇₉	C₂³	1	2	yes	—
242	C₂×C₄⋊C₄×C₇₉	—	2	2	no	—
243	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
244	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
245	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
247	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
248	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
249	C₂×C₂²⋊C₄×C₇₉	—	2	2	no	—
250	C₂×C₂²⋊C₄×C₇₉	—	2	2	no	—
251	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
252	#107×C₇₉	C₂³	1	2	yes	—
253	#107×C₇₉	C₂³	1	2	yes	—
254	#107×C₇₉	C₂³	1	2	yes	—
255	#107×C₇₉	C₂³	1	2	yes	—
256	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
257	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
258	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
259	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
260	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
261	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
262	#103×C₇₉	C₂³	1	2	yes	—
263	#103×C₇₉	C₂³	1	2	yes	—
264	#103×C₇₉	C₂³	1	2	yes	—
265	#103×C₇₉	C₂³	1	2	yes	—
266	#103×C₇₉	C₂³	1	2	yes	—
267	#103×C₇₉	C₂³	1	2	yes	—
268	#103×C₇₉	C₂³	1	2	yes	—
269	#103×C₇₉	C₂³	1	2	yes	—
270	#103×C₇₉	C₂³	1	2	yes	—
271	#103×C₇₉	C₂³	1	2	yes	—
272	#102×C₇₉	C₂³	1	2	yes	—
273	#102×C₇₉	C₂³	1	2	yes	—
274	#102×C₇₉	C₂³	1	2	yes	—
275	#102×C₇₉	C₂³	1	2	yes	—
276	#102×C₇₉	C₂³	1	2	yes	—
277	#102×C₇₉	C₂³	1	2	yes	—
278	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
279	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
280	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
281	#97×C₇₉	C₂³	1	2	yes	—
282	#97×C₇₉	C₂³	1	2	yes	—
283	C₄×C₈×C₇₉	C₂³	1	2	yes	—
284	C₂⁴×C₇₉	—	2	1	no	—
285	C₂⁴×C₇₉	—	2	1	no	—
286	#41×C₇₉	—	2	4	no	—
287	#41×C₇₉	—	4	2	no	—
288	#41×C₇₉	—	4	2	no	—
289	#41×C₇₉	—	4	2	no	—
290	#41×C₇₉	—	8	2	no	—
291	C₂×Q₈×C₇₉	—	2	1	no	—
292	C₂×Q₈×C₇₉	—	2	1	no	—
293	C₂×Q₈×C₇₉	—	2	2	no	—
294	C₂×Q₈×C₇₉	—	2	2	no	—
295	C₂×Q₈×C₇₉	—	2	1	no	—
296	C₂×Q₈×C₇₉	—	4	1	no	—
297	C₂×Q₈×C₇₉	—	4	2	no	—
298	C₂×Q₈×C₇₉	—	4	1	no	—
299	C₂×Q₈×C₇₉	—	4	2	no	—
300	C₂×Q₈×C₇₉	—	8	2	no	—
301	C₂×Q₈×C₇₉	C₂×D₄	1	1	yes	characteristic
302	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
303	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
304	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
305	C₂×D₄×C₇₉	—	2	2	no	—
306	C₂×D₄×C₇₉	—	2	2	no	—
307	C₂×D₄×C₇₉	—	2	2	no	—
308	C₂×D₄×C₇₉	—	2	2	no	—
309	C₂×D₄×C₇₉	—	2	2	no	—
310	C₂×D₄×C₇₉	—	2	1	no	—
311	C₂×D₄×C₇₉	—	2	1	no	—
312	C₂×D₄×C₇₉	—	4	1	no	—
313	C₂×D₄×C₇₉	—	4	1	no	—
314	C₂×D₄×C₇₉	—	4	1	no	—
315	C₂×D₄×C₇₉	C₂×D₄	1	2	yes	—
316	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
317	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
318	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
319	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₇₉	—	2	1	no	—
321	C₂²×C₄×C₇₉	—	2	1	no	—
322	C₂²×C₄×C₇₉	—	2	2	no	—
323	C₂²×C₄×C₇₉	—	2	2	no	—
324	C₂²×C₄×C₇₉	—	2	2	no	—
325	C₂²×C₄×C₇₉	—	2	1	no	—
326	C₂²×C₄×C₇₉	—	2	1	no	—
327	C₂²×C₄×C₇₉	—	2	2	no	—
328	C₂²×C₄×C₇₉	—	2	2	no	—
329	C₂²×C₄×C₇₉	—	2	2	no	—
330	C₂²×C₄×C₇₉	—	2	1	no	—
331	C₂²×C₄×C₇₉	—	2	1	no	—
332	C₂²×C₄×C₇₉	—	8	2	no	—
333	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
334	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
335	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
337	Q₁₆×C₇₉	—	4	2	no	—
338	Q₁₆×C₇₉	—	4	2	no	—
339	Q₁₆×C₇₉	—	4	2	no	—
340	Q₁₆×C₇₉	—	4	2	no	—
341	SD₁₆×C₇₉	—	2	4	no	—
342	SD₁₆×C₇₉	—	2	4	no	—
343	SD₁₆×C₇₉	—	4	2	no	—
344	SD₁₆×C₇₉	—	4	2	no	—
345	SD₁₆×C₇₉	—	4	2	no	—
346	SD₁₆×C₇₉	—	4	2	no	—
347	D₈×C₇₉	—	2	4	no	—
348	D₈×C₇₉	—	4	2	no	—
349	M₁₆×C₇₉	—	4	2	no	—
350	C₂×C₈×C₇₉	—	4	1	no	—
351	C₂×C₈×C₇₉	—	4	1	no	—
352	C₂×C₈×C₇₉	—	4	2	no	—
353	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
354	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
355	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
356	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
357	C₄⋊C₄×C₇₉	—	2	2	no	—
358	C₄⋊C₄×C₇₉	—	2	1	no	—
359	C₄⋊C₄×C₇₉	—	2	2	no	—
360	C₄⋊C₄×C₇₉	—	2	2	no	—
361	C₄⋊C₄×C₇₉	—	2	2	no	—
362	C₄⋊C₄×C₇₉	—	2	1	no	—
363	C₄⋊C₄×C₇₉	—	2	2	no	—
364	C₄⋊C₄×C₇₉	—	2	1	no	—
365	C₄⋊C₄×C₇₉	—	2	1	no	—
366	C₄⋊C₄×C₇₉	—	2	1	no	—
367	C₄⋊C₄×C₇₉	—	2	1	no	—
368	C₄⋊C₄×C₇₉	—	2	2	no	—
369	C₄⋊C₄×C₇₉	—	2	2	no	—
370	C₄⋊C₄×C₇₉	—	2	2	no	—
371	C₄⋊C₄×C₇₉	—	2	2	no	—
372	C₄⋊C₄×C₇₉	—	2	2	no	—
373	C₄⋊C₄×C₇₉	—	2	1	no	—
374	C₄⋊C₄×C₇₉	—	2	2	no	—
375	C₄⋊C₄×C₇₉	—	2	2	no	—
376	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
377	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
378	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
379	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
380	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
381	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
382	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
383	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
384	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
385	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
386	C₂²⋊C₄×C₇₉	—	2	2	no	—
387	C₂²⋊C₄×C₇₉	—	2	2	no	—
388	C₂²⋊C₄×C₇₉	—	2	2	no	—
389	C₂²⋊C₄×C₇₉	—	2	2	no	—
390	C₂²⋊C₄×C₇₉	—	2	1	no	—
391	C₂²⋊C₄×C₇₉	—	2	2	no	—
392	C₂²⋊C₄×C₇₉	—	2	1	no	—
393	C₂²⋊C₄×C₇₉	—	2	1	no	—
394	C₂²⋊C₄×C₇₉	—	2	1	no	—
395	C₂²⋊C₄×C₇₉	—	2	2	no	—
396	C₂²⋊C₄×C₇₉	—	2	2	no	—
397	C₂²⋊C₄×C₇₉	—	2	2	no	—
398	C₂²⋊C₄×C₇₉	—	2	2	no	—
399	C₂²⋊C₄×C₇₉	—	2	2	no	—
400	C₂²⋊C₄×C₇₉	—	2	2	no	—
401	C₂²⋊C₄×C₇₉	—	2	2	no	—
402	C₂²⋊C₄×C₇₉	—	2	2	no	—
403	C₂²⋊C₄×C₇₉	—	2	2	no	—
404	C₂²⋊C₄×C₇₉	—	2	2	no	—
405	C₂²⋊C₄×C₇₉	—	2	2	no	—
406	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
407	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
408	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
409	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
410	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
411	C₄²×C₇₉	—	2	2	no	—
412	C₄²×C₇₉	—	2	2	no	—
413	C₄²×C₇₉	—	2	2	no	—
414	C₄²×C₇₉	—	2	2	no	—
415	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
416	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
417	C₄²×C₇₉	C₂⁴	1	2	yes	—
418	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
419	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
420	C₂³×C₇₉	—	2	1	no	—
421	C₂³×C₇₉	—	2	1	no	—
422	C₂³×C₇₉	—	2	2	no	—
423	C₂³×C₇₉	—	4	2	no	—
424	C₂³×C₇₉	—	4	2	no	—
425	C₂³×C₇₉	—	4	2	no	—
426	C₂³×C₇₉	—	8	1	no	—
427	C₂³×C₇₉	—	8	1	no	—
428	C₂³×C₇₉	—	8	1	no	—
429	C₂³×C₇₉	C₂²×D₄	1	2	yes	—
430	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
431	Q₈×C₇₉	—	2	2	no	—
432	Q₈×C₇₉	—	2	2	no	—
433	Q₈×C₇₉	—	2	2	no	—
434	Q₈×C₇₉	—	2	2	no	—
435	Q₈×C₇₉	—	2	2	no	—
436	Q₈×C₇₉	—	2	2	no	—
437	Q₈×C₇₉	—	4	1	no	—
438	Q₈×C₇₉	—	4	2	no	—
439	Q₈×C₇₉	—	8	1	no	—
440	Q₈×C₇₉	—	8	2	no	—
441	Q₈×C₇₉	—	8	1	no	—
442	Q₈×C₇₉	—	8	2	no	—
443	D₄×C₇₉	—	2	4	no	—
444	D₄×C₇₉	—	2	2	no	—
445	D₄×C₇₉	—	2	1	no	—
446	D₄×C₇₉	—	2	1	no	—
447	D₄×C₇₉	—	2	1	no	—
448	D₄×C₇₉	—	2	2	no	—
449	D₄×C₇₉	—	4	1	no	—
450	D₄×C₇₉	—	4	2	no	—
451	D₄×C₇₉	—	4	4	no	—
452	D₄×C₇₉	—	8	1	no	—
453	D₄×C₇₉	—	8	2	no	—
454	D₄×C₇₉	—	8	2	no	—
455	D₄×C₇₉	—	8	2	no	—
456	D₄×C₇₉	H(5,𝔽₂)	1	2	yes	—
457	C₂×C₄×C₇₉	—	2	2	no	—
458	C₂×C₄×C₇₉	—	2	1	no	—
459	C₂×C₄×C₇₉	—	2	2	no	—
460	C₂×C₄×C₇₉	—	2	1	no	—
461	C₂×C₄×C₇₉	—	2	2	no	—
462	C₂×C₄×C₇₉	—	2	2	no	—
463	C₂×C₄×C₇₉	—	2	2	no	—
464	C₂×C₄×C₇₉	—	2	1	no	—
465	C₂×C₄×C₇₉	—	2	2	no	—
466	C₂×C₄×C₇₉	—	2	2	no	—
467	C₂×C₄×C₇₉	—	2	2	no	—
468	C₂×C₄×C₇₉	—	2	1	no	—
469	C₂×C₄×C₇₉	—	4	1	no	—
470	C₂×C₄×C₇₉	—	4	4	no	—
471	C₂×C₄×C₇₉	—	4	2	no	—
472	C₂×C₄×C₇₉	—	4	2	no	—
473	C₂×C₄×C₇₉	—	8	2	no	—
474	C₂×C₄×C₇₉	—	8	1	no	—
475	C₂×C₄×C₇₉	—	8	1	no	—
476	C₂×C₄×C₇₉	—	8	2	no	—
477	C₂×C₄×C₇₉	—	8	2	no	—
478	C₂×C₄×C₇₉	—	8	1	no	—
479	C₂×C₄×C₇₉	—	8	2	no	—
480	C₂×C₄×C₇₉	—	8	1	no	—
481	C₂×C₄×C₇₉	—	8	2	no	—
482	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
483	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
484	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
485	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
486	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
487	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
488	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
489	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
490	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
491	C₈×C₇₉	—	2	2	no	—
492	C₈×C₇₉	—	2	2	no	—
493	C₈×C₇₉	—	2	2	no	—
494	C₈×C₇₉	—	2	2	no	—
495	C₂²×C₇₉	—	2	1	no	—
496	C₂²×C₇₉	—	2	1	no	—
497	C₂²×C₇₉	—	2	2	no	—
498	C₂²×C₇₉	—	2	2	no	—
499	C₂²×C₇₉	—	2	2	no	—
500	C₂²×C₇₉	—	2	2	no	—
501	C₂²×C₇₉	—	4	1	no	—
502	C₂²×C₇₉	—	4	1	no	—
503	C₂²×C₇₉	—	4	1	no	—
504	C₂²×C₇₉	—	4	2	no	—
505	C₂²×C₇₉	—	4	2	no	—
506	C₂²×C₇₉	—	4	1	no	—
507	C₂²×C₇₉	—	4	1	no	—
508	C₂²×C₇₉	—	4	2	no	—
509	C₂²×C₇₉	—	8	4	no	—
510	C₂²×C₇₉	—	16	2	no	—
511	C₂²×C₇₉	#578	1	2	yes	—
512	C₂²×C₇₉	C₂³×D₄	1	1	yes	characteristic
513	C₄×C₇₉	—	2	1	no	—
514	C₄×C₇₉	—	2	1	no	—
515	C₄×C₇₉	—	2	2	no	—
516	C₄×C₇₉	—	2	2	no	—
517	C₄×C₇₉	—	2	1	no	—
518	C₄×C₇₉	—	2	1	no	—
519	C₄×C₇₉	—	2	1	no	—
520	C₄×C₇₉	—	2	2	no	—
521	C₄×C₇₉	—	4	1	no	—
522	C₄×C₇₉	—	4	1	no	—
523	C₄×C₇₉	—	4	2	no	—
524	C₄×C₇₉	—	4	2	no	—
525	C₄×C₇₉	—	4	2	no	—
526	C₄×C₇₉	—	4	2	no	—
527	C₄×C₇₉	—	4	2	no	—
528	C₄×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
529	C₄×C₇₉	#585	1	1	yes	characteristic
530	#62017	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
531	C₂×C₇₉	—	2	2	no	—
532	C₂×C₇₉	—	4	2	no	—
533	C₂×C₇₉	—	4	2	no	—
534	C₂×C₇₉	—	8	1	no	—
535	C₂×C₇₉	—	8	2	no	—
536	C₂×C₇₉	#3488	1	1	yes	characteristic
537	C₂×C₇₉	C₂×#578	1	1	yes	characteristic
538	C₂×C₇₉	#3585	1	1	yes	characteristic
539	#3561	C₂×C₇₉	1	1	yes	characteristic, complemented
540	#3520	C₂×C₇₉	1	1	yes	characteristic, complemented
541	#3402	C₂×C₇₉	1	2	yes	complemented
542	#3367	C₂×C₇₉	1	2	yes	complemented
543	#3314	C₂×C₇₉	1	2	yes	complemented
544	#3308	C₂×C₇₉	1	2	yes	complemented
545	#3299	C₂×C₇₉	1	2	yes	complemented
546	#3280	C₂×C₇₉	1	2	yes	complemented
547	#3269	C₂×C₇₉	1	2	yes	complemented
548	#3266	C₂×C₇₉	1	2	yes	complemented
549	#3262	C₂×C₇₉	1	2	yes	complemented
550	#3249	C₂×C₇₉	1	1	yes	characteristic, complemented
551	#3225	C₂×C₇₉	1	2	yes	complemented
552	#3215	C₂×C₇₉	1	1	yes	characteristic, complemented
553	#3124	C₂×C₇₉	1	2	yes	complemented
554	#3110	C₂×C₇₉	1	1	yes	characteristic, complemented
555	#3046	C₂×C₇₉	1	2	yes	complemented
556	C₂×#463	C₂×C₇₉	1	1	yes	characteristic, complemented
557	#2992	C₂×C₇₉	1	1	yes	characteristic, complemented
558	C₇₉	#62017	1	1	yes	characteristic, direct product factor, Sylow
559	C₂×#137	C₂²×C₇₉	1	2	yes	complemented
560	C₂×#135	C₂²×C₇₉	1	2	yes	—
561	C₂²×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic
562	C₂²×D₈	C₂²×C₇₉	1	1	yes	characteristic
563	#563	—	2	1	no	—
564	#562	—	2	1	no	—
565	#556	C₂²×C₇₉	1	2	yes	complemented
566	#556	C₂²×C₇₉	1	1	yes	characteristic, complemented
567	#554	C₂²×C₇₉	1	2	yes	—
568	#552	—	2	1	no	—
569	#551	—	2	2	no	—
570	#551	—	2	2	no	—
571	D₄×Q₈	C₂²×C₇₉	1	2	yes	—
572	D₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic, complemented
573	#548	—	2	1	no	—
574	#548	C₂²×C₇₉	1	2	yes	complemented
575	#547	C₂²×C₇₉	1	1	yes	characteristic, complemented
576	#547	C₂²×C₇₉	1	1	yes	characteristic, complemented
577	#546	C₂²×C₇₉	1	2	yes	—
578	#546	C₂²×C₇₉	1	2	yes	—
579	#543	—	2	1	no	—
580	#542	—	2	2	no	—
581	#542	C₂²×C₇₉	1	2	yes	complemented
582	#542	C₂²×C₇₉	1	2	yes	complemented
583	#539	—	2	2	no	—
584	#538	—	2	1	no	—
585	#536	C₂²×C₇₉	1	2	yes	complemented
586	#533	C₂²×C₇₉	1	1	yes	characteristic
587	#533	C₂²×C₇₉	1	1	yes	characteristic
588	#529	C₂²×C₇₉	1	1	yes	characteristic
589	C₂×#124	C₂²×C₇₉	1	1	yes	characteristic
590	#525	—	2	1	no	—
591	C₂×C₂²⋊Q₈	—	2	1	no	—
592	#520	C₂²×C₇₉	1	2	yes	complemented
593	C₂×C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
594	#497	C₂²×C₇₉	1	2	yes	complemented
595	#497	C₂²×C₇₉	1	2	yes	complemented
596	#495	C₂²×C₇₉	1	2	yes	—
597	#489	C₂²×C₇₉	1	2	yes	complemented
598	#489	C₂²×C₇₉	1	2	yes	complemented
599	#487	C₂²×C₇₉	1	2	yes	complemented
600	#484	C₂²×C₇₉	1	2	yes	—
601	#484	C₂²×C₇₉	1	2	yes	complemented
602	#480	C₂²×C₇₉	1	2	yes	complemented
603	#477	C₂²×C₇₉	1	2	yes	complemented
604	#477	C₂²×C₇₉	1	2	yes	complemented
605	#477	C₂²×C₇₉	1	2	yes	complemented
606	#474	C₂²×C₇₉	1	1	yes	characteristic, complemented
607	#474	C₂²×C₇₉	1	1	yes	characteristic, complemented
608	#474	C₂²×C₇₉	1	2	yes	complemented
609	#468	C₂²×C₇₉	1	2	yes	complemented
610	#468	C₂²×C₇₉	1	2	yes	complemented
611	#467	C₂²×C₇₉	1	2	yes	—
612	#467	C₂²×C₇₉	1	2	yes	—
613	#467	C₂²×C₇₉	1	2	yes	complemented
614	#466	C₂²×C₇₉	1	2	yes	—
615	#464	C₂²×C₇₉	1	2	yes	complemented
616	#464	C₂²×C₇₉	1	2	yes	complemented
617	#464	C₂²×C₇₉	1	2	yes	complemented
618	#464	C₂²×C₇₉	1	2	yes	complemented
619	#463	C₂²×C₇₉	1	2	yes	—
620	#463	C₂²×C₇₉	1	2	yes	—
621	#463	C₂²×C₇₉	1	2	yes	—
622	#463	C₂²×C₇₉	1	2	yes	—
623	#463	C₂²×C₇₉	1	2	yes	—
624	#463	C₂²×C₇₉	1	2	yes	—
625	#462	C₂²×C₇₉	1	2	yes	complemented
626	#462	C₂²×C₇₉	1	2	yes	complemented
627	#462	C₂²×C₇₉	1	2	yes	complemented
628	#461	C₂²×C₇₉	1	1	yes	characteristic, complemented
629	#461	C₂²×C₇₉	1	1	yes	characteristic, complemented
630	#461	C₂²×C₇₉	1	2	yes	complemented
631	#452	C₂²×C₇₉	1	2	yes	complemented
632	#452	C₂²×C₇₉	1	2	yes	complemented
633	#451	C₂²×C₇₉	1	2	yes	—
634	#451	C₂²×C₇₉	1	2	yes	complemented
635	#450	C₂²×C₇₉	1	2	yes	—
636	#450	C₂²×C₇₉	1	2	yes	—
637	#449	C₂²×C₇₉	1	2	yes	—
638	#449	C₂²×C₇₉	1	2	yes	—
639	#448	C₂²×C₇₉	1	2	yes	complemented
640	#446	C₂²×C₇₉	1	2	yes	complemented
641	#440	C₂²×C₇₉	1	2	yes	complemented
642	#440	C₂²×C₇₉	1	2	yes	complemented
643	#440	C₂²×C₇₉	1	2	yes	complemented
644	#440	C₂²×C₇₉	1	2	yes	complemented
645	C₄×Q₁₆	C₂²×C₇₉	1	2	yes	complemented
646	C₄×D₈	C₂²×C₇₉	1	2	yes	—
647	#435	C₂²×C₇₉	1	2	yes	—
648	#435	C₂²×C₇₉	1	2	yes	complemented
649	C₈×D₄	C₂²×C₇₉	1	2	yes	—
650	#433	C₂²×C₇₉	1	2	yes	complemented
651	#432	C₂²×C₇₉	1	1	yes	characteristic
652	#424	C₂²×C₇₉	1	2	yes	complemented
653	C₂×C₄⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
654	#417	C₂²×C₇₉	1	2	yes	complemented
655	C₂×#103	C₂²×C₇₉	1	1	yes	characteristic
656	C₂×#103	C₂²×C₇₉	1	2	yes	complemented
657	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic
658	C₂×#41	—	2	1	no	—
659	C₂×#41	C₂³×C₇₉	1	2	yes	—
660	C₂×#41	C₂³×C₇₉	1	2	yes	—
661	C₂²×Q₈	—	2	1	no	—
662	C₂²×Q₈	C₂³×C₇₉	1	1	yes	characteristic
663	C₂²×Q₈	C₂³×C₇₉	1	2	yes	—
664	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
665	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
666	C₂³×C₄	—	2	1	no	—
667	#137	—	4	4	no	—
668	#135	—	4	4	no	—
669	C₂×Q₁₆	C₂³×C₇₉	1	2	yes	—
670	C₂×Q₁₆	C₂³×C₇₉	1	2	yes	—
671	C₂×Q₁₆	C₂³×C₇₉	1	2	yes	—
672	C₂×Q₁₆	C₂³×C₇₉	1	2	yes	—
673	C₂×SD₁₆	—	4	2	no	—
674	C₂×SD₁₆	C₂³×C₇₉	1	2	yes	—
675	C₂×SD₁₆	C₂³×C₇₉	1	2	yes	—
676	C₂×SD₁₆	C₂³×C₇₉	1	2	yes	—
677	C₂×SD₁₆	C₂³×C₇₉	1	2	yes	—
678	C₂×SD₁₆	C₂³×C₇₉	1	2	yes	—
679	C₂×SD₁₆	C₂³×C₇₉	1	2	yes	—
680	C₂×D₈	—	4	2	no	—
681	C₂×D₈	C₂³×C₇₉	1	2	yes	—
682	C₂×D₈	C₂³×C₇₉	1	2	yes	—
683	C₂×M₁₆	C₂³×C₇₉	1	2	yes	—
684	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
685	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
686	C₂²×C₈	C₂³×C₇₉	1	2	yes	—
687	C₄⋊Q₈	—	2	2	no	—
688	C₄⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
689	C₄⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
690	C₄⋊Q₈	C₂³×C₇₉	1	2	yes	—
691	C₄⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
692	C₄⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
693	C₄⋊Q₈	C₂³×C₇₉	1	2	yes	—
694	#126	—	2	2	no	—
695	#126	—	2	2	no	—
696	#126	—	2	2	no	—
697	#126	—	2	2	no	—
698	#126	—	2	2	no	—
699	#126	D₄×C₇₉	1	2	yes	—
700	#125	—	2	2	no	—
701	#125	—	2	1	no	—
702	#125	—	2	1	no	—
703	#125	D₄×C₇₉	1	1	yes	characteristic
704	#124	—	2	2	no	—
705	#124	—	2	2	no	—
706	#124	—	2	2	no	—
707	#124	—	2	1	no	—
708	#124	—	2	1	no	—
709	#124	D₄×C₇₉	1	1	yes	characteristic
710	#124	C₂³×C₇₉	1	2	yes	—
711	#124	C₂³×C₇₉	1	2	yes	—
712	#124	C₂³×C₇₉	1	2	yes	—
713	#124	C₂³×C₇₉	1	2	yes	—
714	#123	—	2	2	no	—
715	#123	—	2	2	no	—
716	#123	—	2	2	no	—
717	#123	—	2	2	no	—
718	#123	—	2	2	no	—
719	#123	—	2	2	no	—
720	#123	—	2	2	no	—
721	#123	—	2	2	no	—
722	#123	D₄×C₇₉	1	2	yes	—
723	C₂²⋊Q₈	—	2	1	no	—
724	C₂²⋊Q₈	—	2	2	no	—
725	C₂²⋊Q₈	—	2	1	no	—
726	C₂²⋊Q₈	—	2	1	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	—	2	1	no	—
729	C₂²⋊Q₈	—	2	1	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	D₄×C₇₉	1	1	yes	characteristic
740	C₂²⋊Q₈	C₂³×C₇₉	1	2	yes	—
741	C₂²⋊Q₈	C₂³×C₇₉	1	2	yes	—
742	C₂²⋊Q₈	C₂³×C₇₉	1	2	yes	—
743	C₂²⋊Q₈	C₂³×C₇₉	1	2	yes	—
744	#121	—	2	1	no	—
745	#121	—	2	2	no	—
746	#121	—	2	2	no	—
747	#121	—	2	2	no	—
748	#121	D₄×C₇₉	1	1	yes	characteristic
749	#121	C₂³×C₇₉	1	2	yes	—
750	#121	C₂³×C₇₉	1	2	yes	—
751	#120	—	2	2	no	—
752	#120	—	2	2	no	—
753	C₄×Q₈	—	2	1	no	—
754	C₄×Q₈	—	2	1	no	—
755	C₄×Q₈	C₂³×C₇₉	1	2	yes	—
756	C₄×Q₈	C₂³×C₇₉	1	2	yes	—
757	C₄×Q₈	C₂³×C₇₉	1	2	yes	—
758	C₄×Q₈	C₂³×C₇₉	1	2	yes	—
759	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
760	C₄×D₄	—	2	2	no	—
761	C₄×D₄	—	2	2	no	—
762	C₄×D₄	—	2	2	no	—
763	C₄×D₄	—	2	2	no	—
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	—	2	1	no	—
766	C₄×D₄	—	2	1	no	—
767	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
768	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
769	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
770	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
771	C₄×D₄	C₂³×C₇₉	1	2	yes	—
772	C₄×D₄	C₂³×C₇₉	1	2	yes	—
773	C₄×D₄	C₂³×C₇₉	1	2	yes	—
774	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
775	#117	—	2	1	no	—
776	#117	—	2	1	no	—
777	#117	—	2	2	no	—
778	#117	—	2	1	no	—
779	#117	—	2	2	no	—
780	#117	C₂³×C₇₉	1	2	yes	—
781	C₂×C₄⋊C₄	—	2	2	no	—
782	C₂×C₄⋊C₄	—	2	1	no	—
783	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₇₉	1	2	yes	—
785	C₂×C₂²⋊C₄	—	2	1	no	—
786	C₂×C₂²⋊C₄	—	2	1	no	—
787	C₂×C₂²⋊C₄	—	2	1	no	—
788	C₂×C₂²⋊C₄	—	2	2	no	—
789	C₂×C₂²⋊C₄	—	2	2	no	—
790	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
791	#107	C₂³×C₇₉	1	2	yes	—
792	#107	C₂³×C₇₉	1	2	yes	—
793	#107	C₂³×C₇₉	1	2	yes	—
794	#107	C₂³×C₇₉	1	2	yes	—
795	C₄⋊C₈	C₂³×C₇₉	1	2	yes	—
796	C₄⋊C₈	C₂³×C₇₉	1	2	yes	—
797	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
798	C₄⋊C₈	C₂³×C₇₉	1	2	yes	—
799	C₄⋊C₈	C₂³×C₇₉	1	2	yes	—
800	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
801	#103	C₂³×C₇₉	1	2	yes	—
802	#103	C₂³×C₇₉	1	2	yes	—
803	#103	C₂³×C₇₉	1	2	yes	—
804	#103	C₂³×C₇₉	1	2	yes	—
805	#103	C₂³×C₇₉	1	2	yes	—
806	#103	C₂³×C₇₉	1	2	yes	—
807	#103	C₂³×C₇₉	1	2	yes	—
808	#103	C₂³×C₇₉	1	2	yes	—
809	#103	C₂³×C₇₉	1	2	yes	—
810	#103	C₂³×C₇₉	1	2	yes	—
811	#102	C₂³×C₇₉	1	2	yes	—
812	#102	C₂³×C₇₉	1	2	yes	—
813	#102	C₂³×C₇₉	1	2	yes	—
814	#102	C₂³×C₇₉	1	2	yes	—
815	#102	C₂³×C₇₉	1	2	yes	—
816	#102	C₂³×C₇₉	1	2	yes	—
817	C₂²⋊C₈	C₂³×C₇₉	1	2	yes	—
818	C₂²⋊C₈	C₂³×C₇₉	1	2	yes	—
819	C₂²⋊C₈	C₂³×C₇₉	1	2	yes	—
820	#97	C₂³×C₇₉	1	2	yes	—
821	#97	C₂³×C₇₉	1	2	yes	—
822	C₄×C₈	C₂³×C₇₉	1	2	yes	—
823	C₂⁴	—	2	1	no	—
824	C₂⁴	—	2	1	no	—
825	#41	—	2	4	no	—
826	#41	—	4	2	no	—
827	#41	—	4	2	no	—
828	#41	—	4	2	no	—
829	#41	—	8	2	no	—
830	C₂×Q₈	—	2	1	no	—
831	C₂×Q₈	—	2	1	no	—
832	C₂×Q₈	—	2	2	no	—
833	C₂×Q₈	—	2	2	no	—
834	C₂×Q₈	—	2	1	no	—
835	C₂×Q₈	—	4	1	no	—
836	C₂×Q₈	—	4	2	no	—
837	C₂×Q₈	—	4	1	no	—
838	C₂×Q₈	—	4	2	no	—
839	C₂×Q₈	—	8	2	no	—
840	C₂×Q₈	C₂×D₄×C₇₉	1	1	yes	characteristic
841	C₂×Q₈	C₂⁴×C₇₉	1	2	yes	—
842	C₂×Q₈	C₂⁴×C₇₉	1	2	yes	—
843	C₂×Q₈	C₂⁴×C₇₉	1	2	yes	—
844	C₂×D₄	—	2	2	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	2	2	no	—
849	C₂×D₄	—	2	1	no	—
850	C₂×D₄	—	2	1	no	—
851	C₂×D₄	—	4	1	no	—
852	C₂×D₄	—	4	1	no	—
853	C₂×D₄	—	4	1	no	—
854	C₂×D₄	C₂×D₄×C₇₉	1	2	yes	—
855	C₂×D₄	C₂×D₄×C₇₉	1	1	yes	characteristic
856	C₂×D₄	C₂⁴×C₇₉	1	2	yes	—
857	C₂×D₄	C₂⁴×C₇₉	1	1	yes	characteristic
858	C₂×D₄	C₂⁴×C₇₉	1	1	yes	characteristic
859	C₂²×C₄	—	2	1	no	—
860	C₂²×C₄	—	2	1	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	2	no	—
863	C₂²×C₄	—	2	2	no	—
864	C₂²×C₄	—	2	1	no	—
865	C₂²×C₄	—	2	1	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	2	2	no	—
868	C₂²×C₄	—	2	2	no	—
869	C₂²×C₄	—	2	1	no	—
870	C₂²×C₄	—	2	1	no	—
871	C₂²×C₄	—	8	2	no	—
872	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
873	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
874	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₇₉	1	2	yes	—
876	Q₁₆	—	4	2	no	—
877	Q₁₆	—	4	2	no	—
878	Q₁₆	—	4	2	no	—
879	Q₁₆	—	4	2	no	—
880	SD₁₆	—	2	4	no	—
881	SD₁₆	—	2	4	no	—
882	SD₁₆	—	4	2	no	—
883	SD₁₆	—	4	2	no	—
884	SD₁₆	—	4	2	no	—
885	SD₁₆	—	4	2	no	—
886	D₈	—	2	4	no	—
887	D₈	—	4	2	no	—
888	M₁₆	—	4	2	no	—
889	C₂×C₈	—	4	1	no	—
890	C₂×C₈	—	4	1	no	—
891	C₂×C₈	—	4	2	no	—
892	C₂×C₈	C₂⁴×C₇₉	1	2	yes	—
893	C₂×C₈	C₂⁴×C₇₉	1	2	yes	—
894	C₂×C₈	C₂⁴×C₇₉	1	2	yes	—
895	C₂×C₈	C₂⁴×C₇₉	1	2	yes	—
896	C₄⋊C₄	—	2	2	no	—
897	C₄⋊C₄	—	2	1	no	—
898	C₄⋊C₄	—	2	2	no	—
899	C₄⋊C₄	—	2	2	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	1	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	1	no	—
904	C₄⋊C₄	—	2	1	no	—
905	C₄⋊C₄	—	2	1	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	1	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
916	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
917	C₄⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
918	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
919	C₄⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
920	C₄⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
921	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
922	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
923	C₄⋊C₄	C₂⁴×C₇₉	1	2	yes	—
924	C₄⋊C₄	C₂⁴×C₇₉	1	2	yes	—
925	C₂²⋊C₄	—	2	2	no	—
926	C₂²⋊C₄	—	2	2	no	—
927	C₂²⋊C₄	—	2	2	no	—
928	C₂²⋊C₄	—	2	2	no	—
929	C₂²⋊C₄	—	2	1	no	—
930	C₂²⋊C₄	—	2	2	no	—
931	C₂²⋊C₄	—	2	1	no	—
932	C₂²⋊C₄	—	2	1	no	—
933	C₂²⋊C₄	—	2	1	no	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	2	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	—	2	2	no	—
945	C₂²⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
946	C₂²⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
947	C₂²⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
948	C₂²⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
949	C₂²⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
950	C₄²	—	2	2	no	—
951	C₄²	—	2	2	no	—
952	C₄²	—	2	2	no	—
953	C₄²	—	2	2	no	—
954	C₄²	C₂×D₄×C₇₉	1	1	yes	characteristic
955	C₄²	C₂×D₄×C₇₉	1	1	yes	characteristic
956	C₄²	C₂⁴×C₇₉	1	2	yes	—
957	C₄²	C₂⁴×C₇₉	1	1	yes	characteristic
958	C₄²	C₂⁴×C₇₉	1	1	yes	characteristic
959	C₂³	—	2	1	no	—
960	C₂³	—	2	1	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	4	2	no	—
963	C₂³	—	4	2	no	—
964	C₂³	—	4	2	no	—
965	C₂³	—	8	1	no	—
966	C₂³	—	8	1	no	—
967	C₂³	—	8	1	no	—
968	C₂³	C₂²×D₄×C₇₉	1	2	yes	—
969	C₂³	C₂²×D₄×C₇₉	1	1	yes	characteristic
970	Q₈	—	2	2	no	—
971	Q₈	—	2	2	no	—
972	Q₈	—	2	2	no	—
973	Q₈	—	2	2	no	—
974	Q₈	—	2	2	no	—
975	Q₈	—	2	2	no	—
976	Q₈	—	4	1	no	—
977	Q₈	—	4	2	no	—
978	Q₈	—	8	1	no	—
979	Q₈	—	8	2	no	—
980	Q₈	—	8	1	no	—
981	Q₈	—	8	2	no	—
982	D₄	—	2	4	no	—
983	D₄	—	2	2	no	—
984	D₄	—	2	1	no	—
985	D₄	—	2	1	no	—
986	D₄	—	2	1	no	—
987	D₄	—	2	2	no	—
988	D₄	—	4	1	no	—
989	D₄	—	4	2	no	—
990	D₄	—	4	4	no	—
991	D₄	—	8	1	no	—
992	D₄	—	8	2	no	—
993	D₄	—	8	2	no	—
994	D₄	—	8	2	no	—
995	D₄	H(5,𝔽₂)×C₇₉	1	2	yes	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	4	1	no	—
1009	C₂×C₄	—	4	4	no	—
1010	C₂×C₄	—	4	2	no	—
1011	C₂×C₄	—	4	2	no	—
1012	C₂×C₄	—	8	2	no	—
1013	C₂×C₄	—	8	1	no	—
1014	C₂×C₄	—	8	1	no	—
1015	C₂×C₄	—	8	2	no	—
1016	C₂×C₄	—	8	2	no	—
1017	C₂×C₄	—	8	1	no	—
1018	C₂×C₄	—	8	2	no	—
1019	C₂×C₄	—	8	1	no	—
1020	C₂×C₄	—	8	2	no	—
1021	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1022	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1023	C₂×C₄	C₂²×D₄×C₇₉	1	2	yes	—
1024	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1025	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1026	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1027	C₂×C₄	C₂²×D₄×C₇₉	1	2	yes	—
1028	C₂×C₄	C₂²×D₄×C₇₉	1	2	yes	—
1029	C₂×C₄	C₂⁵×C₇₉	1	1	yes	characteristic
1030	C₈	—	2	2	no	—
1031	C₈	—	2	2	no	—
1032	C₈	—	2	2	no	—
1033	C₈	—	2	2	no	—
1034	C₂²	—	2	1	no	—
1035	C₂²	—	2	1	no	—
1036	C₂²	—	2	2	no	—
1037	C₂²	—	2	2	no	—
1038	C₂²	—	2	2	no	—
1039	C₂²	—	2	2	no	—
1040	C₂²	—	4	1	no	—
1041	C₂²	—	4	1	no	—
1042	C₂²	—	4	1	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	1	no	—
1045	C₂²	—	4	2	no	—
1046	C₂²	—	4	2	no	—
1047	C₂²	—	4	1	no	—
1048	C₂²	—	8	4	no	—
1049	C₂²	—	16	2	no	—
1050	C₂²	#578×C₇₉	1	2	yes	—
1051	C₂²	C₂³×D₄×C₇₉	1	1	yes	characteristic
1052	C₄	—	2	1	no	—
1053	C₄	—	2	1	no	—
1054	C₄	—	2	2	no	—
1055	C₄	—	2	1	no	—
1056	C₄	—	2	1	no	—
1057	C₄	—	2	2	no	—
1058	C₄	—	2	2	no	—
1059	C₄	—	2	1	no	—
1060	C₄	—	4	1	no	—
1061	C₄	—	4	1	no	—
1062	C₄	—	4	2	no	—
1063	C₄	—	4	2	no	—
1064	C₄	—	4	2	no	—
1065	C₄	—	4	2	no	—
1066	C₄	—	4	2	no	—
1067	C₄	C₂×H(5,𝔽₂)×C₇₉	1	1	yes	characteristic
1068	C₄	#585×C₇₉	1	1	yes	characteristic
1069	C₂	—	2	2	no	—
1070	C₂	—	4	2	no	—
1071	C₂	—	4	2	no	—
1072	C₂	—	8	1	no	—
1073	C₂	—	8	2	no	—
1074	C₂	C₇₉×#3488	1	1	yes	characteristic
1075	C₂	C₂×#578×C₇₉	1	1	yes	characteristic
1076	C₂	C₇₉×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₉ ◁ #529×C₇₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇₉×#3561	C₂	semidirect
2. C₇₉×#3520	C₂	semidirect
3. C₇₉×#3402	C₂	semidirect
4. C₇₉×#3367	C₂	semidirect
5. C₇₉×#3314	C₂	semidirect
6. C₇₉×#3308	C₂	semidirect
7. C₇₉×#3299	C₂	semidirect
8. C₇₉×#3280	C₂	semidirect
9. C₇₉×#3269	C₂	semidirect
10. C₇₉×#3266	C₂	semidirect
11. C₇₉×#3262	C₂	semidirect
12. C₇₉×#3249	C₂	semidirect
13. C₇₉×#3225	C₂	semidirect
14. C₇₉×#3215	C₂	semidirect
15. C₇₉×#3124	C₂	semidirect
16. C₇₉×#3110	C₂	semidirect
17. C₇₉×#3046	C₂	semidirect
18. C₂×#463×C₇₉	C₂	semidirect
19. C₇₉×#2992	C₂	semidirect
20. C₂×#137×C₇₉	C₂²	semidirect
26. #556×C₇₉	C₂²	semidirect
27. #556×C₇₉	C₂²	semidirect
33. D₄×Q₈×C₇₉	C₂²	semidirect
35. #548×C₇₉	C₂²	semidirect
36. #547×C₇₉	C₂²	semidirect
37. #547×C₇₉	C₂²	semidirect
42. #542×C₇₉	C₂²	semidirect
43. #542×C₇₉	C₂²	semidirect
46. #536×C₇₉	C₂²	semidirect
53. #520×C₇₉	C₂²	semidirect
55. #497×C₇₉	C₂²	semidirect
56. #497×C₇₉	C₂²	semidirect
58. #489×C₇₉	C₂²	semidirect
59. #489×C₇₉	C₂²	semidirect
60. #487×C₇₉	C₂²	semidirect
62. #484×C₇₉	C₂²	semidirect
63. #480×C₇₉	C₂²	semidirect
64. #477×C₇₉	C₂²	semidirect
65. #477×C₇₉	C₂²	semidirect
66. #477×C₇₉	C₂²	semidirect
67. #474×C₇₉	C₂²	semidirect
68. #474×C₇₉	C₂²	semidirect
69. #474×C₇₉	C₂²	semidirect
70. #468×C₇₉	C₂²	semidirect
71. #468×C₇₉	C₂²	semidirect
74. #467×C₇₉	C₂²	semidirect
76. #464×C₇₉	C₂²	semidirect
77. #464×C₇₉	C₂²	semidirect
78. #464×C₇₉	C₂²	semidirect
79. #464×C₇₉	C₂²	semidirect
86. #462×C₇₉	C₂²	semidirect
87. #462×C₇₉	C₂²	semidirect
88. #462×C₇₉	C₂²	semidirect
89. #461×C₇₉	C₂²	semidirect
90. #461×C₇₉	C₂²	semidirect
91. #461×C₇₉	C₂²	semidirect
92. #452×C₇₉	C₂²	semidirect
93. #452×C₇₉	C₂²	semidirect
95. #451×C₇₉	C₂²	semidirect
100. #448×C₇₉	C₂²	semidirect
101. #446×C₇₉	C₂²	semidirect
102. #440×C₇₉	C₂²	semidirect
103. #440×C₇₉	C₂²	semidirect
104. #440×C₇₉	C₂²	semidirect
105. #440×C₇₉	C₂²	semidirect
106. C₄×Q₁₆×C₇₉	C₂²	semidirect
109. #435×C₇₉	C₂²	semidirect
111. #433×C₇₉	C₂²	semidirect
113. #424×C₇₉	C₂²	semidirect
115. #417×C₇₉	C₂²	semidirect
117. C₂×#103×C₇₉	C₂²	semidirect
530. #62017	C₇₉	direct (N × H)
539. #3561	C₂×C₇₉	semidirect
540. #3520	C₂×C₇₉	semidirect
541. #3402	C₂×C₇₉	semidirect
542. #3367	C₂×C₇₉	semidirect
543. #3314	C₂×C₇₉	semidirect
544. #3308	C₂×C₇₉	semidirect
545. #3299	C₂×C₇₉	semidirect
546. #3280	C₂×C₇₉	semidirect
547. #3269	C₂×C₇₉	semidirect
548. #3266	C₂×C₇₉	semidirect
549. #3262	C₂×C₇₉	semidirect
550. #3249	C₂×C₇₉	semidirect
551. #3225	C₂×C₇₉	semidirect
552. #3215	C₂×C₇₉	semidirect
553. #3124	C₂×C₇₉	semidirect
554. #3110	C₂×C₇₉	semidirect
555. #3046	C₂×C₇₉	semidirect
556. C₂×#463	C₂×C₇₉	semidirect
557. #2992	C₂×C₇₉	semidirect
558. C₇₉	#62017	direct (N × H)
559. C₂×#137	C₂²×C₇₉	semidirect
565. #556	C₂²×C₇₉	semidirect
566. #556	C₂²×C₇₉	semidirect
572. D₄×Q₈	C₂²×C₇₉	semidirect
574. #548	C₂²×C₇₉	semidirect
575. #547	C₂²×C₇₉	semidirect
576. #547	C₂²×C₇₉	semidirect
581. #542	C₂²×C₇₉	semidirect
582. #542	C₂²×C₇₉	semidirect
585. #536	C₂²×C₇₉	semidirect
592. #520	C₂²×C₇₉	semidirect
594. #497	C₂²×C₇₉	semidirect
595. #497	C₂²×C₇₉	semidirect
597. #489	C₂²×C₇₉	semidirect
598. #489	C₂²×C₇₉	semidirect
599. #487	C₂²×C₇₉	semidirect
601. #484	C₂²×C₇₉	semidirect
602. #480	C₂²×C₇₉	semidirect
603. #477	C₂²×C₇₉	semidirect
604. #477	C₂²×C₇₉	semidirect
605. #477	C₂²×C₇₉	semidirect
606. #474	C₂²×C₇₉	semidirect
607. #474	C₂²×C₇₉	semidirect
608. #474	C₂²×C₇₉	semidirect
609. #468	C₂²×C₇₉	semidirect
610. #468	C₂²×C₇₉	semidirect
613. #467	C₂²×C₇₉	semidirect
615. #464	C₂²×C₇₉	semidirect
616. #464	C₂²×C₇₉	semidirect
617. #464	C₂²×C₇₉	semidirect
618. #464	C₂²×C₇₉	semidirect
625. #462	C₂²×C₇₉	semidirect
626. #462	C₂²×C₇₉	semidirect
627. #462	C₂²×C₇₉	semidirect
628. #461	C₂²×C₇₉	semidirect
629. #461	C₂²×C₇₉	semidirect
630. #461	C₂²×C₇₉	semidirect
631. #452	C₂²×C₇₉	semidirect
632. #452	C₂²×C₇₉	semidirect
634. #451	C₂²×C₇₉	semidirect
639. #448	C₂²×C₇₉	semidirect
640. #446	C₂²×C₇₉	semidirect
641. #440	C₂²×C₇₉	semidirect
642. #440	C₂²×C₇₉	semidirect
643. #440	C₂²×C₇₉	semidirect
644. #440	C₂²×C₇₉	semidirect
645. C₄×Q₁₆	C₂²×C₇₉	semidirect
648. #435	C₂²×C₇₉	semidirect
650. #433	C₂²×C₇₉	semidirect
652. #424	C₂²×C₇₉	semidirect
654. #417	C₂²×C₇₉	semidirect
656. C₂×#103	C₂²×C₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₇₉×#3561	2
C₇₉×#3520	2
C₇₉×#3402	2
C₇₉×#3367	2
C₇₉×#3314	2
C₇₉×#3308	2
C₇₉×#3299	2
C₇₉×#3280	2
C₇₉×#3269	2
C₇₉×#3266	2
C₇₉×#3262	2
C₇₉×#3249	2
C₇₉×#3225	2
C₇₉×#3215	2
C₇₉×#3124	2
C₇₉×#3110	2
C₇₉×#3046	2
C₂×#463×C₇₉	2
C₇₉×#2992	2
#62017	79

Subgroups — C79×#62017 #34173706

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#62017 #34173706