Subgroups — C₇₉×#62066 #34173755

Order 20224.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₉×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₉×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₉×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₉×#3394	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₉×#3371	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₉×#3365	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₉×#3323	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₉×#3318	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₉×#3316	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₉×#3301	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₉×#3296	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₉×#3295	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₉×#3285	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₉×#3282	C₂	1	1	yes	maximal, characteristic, complemented
15	D₄×SD₁₆×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇₉×#3275	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₉×#3270	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇₉×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₉×#3263	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇₉×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇₉×#3247	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇₉×#3224	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₉×#3222	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇₉×#3211	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇₉×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇₉×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇₉×#3103	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇₉×#3045	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇₉×#3043	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#464×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₉×#2994	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₇₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×AGL(1,ℤ/8)×C₇₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#135×C₇₉	C₂²	1	1	yes	characteristic, complemented
35	C₂²×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
36	C₂²×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic
37	C₂²×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
38	#562×C₇₉	—	2	1	no	—
39	H(3,𝔽₄)×C₇₉	—	2	1	no	—
40	#559×C₇₉	C₂²	1	1	yes	characteristic
41	#559×C₇₉	C₂²	1	1	yes	characteristic
42	#557×C₇₉	C₂²	1	1	yes	characteristic, complemented
43	#556×C₇₉	—	2	1	no	—
44	#556×C₇₉	C₂²	1	1	yes	characteristic, complemented
45	#554×C₇₉	—	2	1	no	—
46	#554×C₇₉	C₂²	1	1	yes	characteristic, complemented
47	#553×C₇₉	—	2	1	no	—
48	#553×C₇₉	C₂²	1	1	yes	characteristic, complemented
49	#552×C₇₉	—	2	1	no	—
50	#552×C₇₉	C₂²	1	1	yes	characteristic, complemented
51	D₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
52	#548×C₇₉	C₂²	1	1	yes	characteristic
53	#548×C₇₉	C₂²	1	1	yes	characteristic
54	#548×C₇₉	C₂²	1	1	yes	characteristic, complemented
55	#548×C₇₉	C₂²	1	1	yes	characteristic, complemented
56	#546×C₇₉	—	2	1	no	—
57	#546×C₇₉	—	2	1	no	—
58	#546×C₇₉	C₂²	1	1	yes	characteristic
59	#546×C₇₉	C₂²	1	1	yes	characteristic
60	D₄²×C₇₉	C₂²	1	1	yes	characteristic
61	D₄²×C₇₉	C₂²	1	1	yes	characteristic
62	#542×C₇₉	—	2	1	no	—
63	#542×C₇₉	C₂²	1	1	yes	characteristic
64	#542×C₇₉	C₂²	1	1	yes	characteristic
65	#542×C₇₉	C₂²	1	1	yes	characteristic, complemented
66	#541×C₇₉	—	2	1	no	—
67	#541×C₇₉	C₂²	1	1	yes	characteristic, complemented
68	#538×C₇₉	—	2	1	no	—
69	#538×C₇₉	—	2	1	no	—
70	#538×C₇₉	—	2	1	no	—
71	#535×C₇₉	C₂²	1	1	yes	characteristic
72	#535×C₇₉	C₂²	1	1	yes	characteristic
73	#534×C₇₉	—	2	1	no	—
74	#532×C₇₉	C₂²	1	1	yes	characteristic
75	#529×C₇₉	—	2	1	no	—
76	#529×C₇₉	—	2	1	no	—
77	#529×C₇₉	C₂²	1	1	yes	characteristic
78	#529×C₇₉	C₂²	1	1	yes	characteristic, complemented
79	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic
80	#520×C₇₉	C₂²	1	1	yes	characteristic, complemented
81	#519×C₇₉	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
83	#497×C₇₉	C₂²	1	1	yes	characteristic, complemented
84	#496×C₇₉	C₂²	1	1	yes	characteristic
85	#495×C₇₉	C₂²	1	1	yes	characteristic, complemented
86	#495×C₇₉	C₂²	1	1	yes	characteristic, complemented
87	#495×C₇₉	C₂²	1	1	yes	characteristic, complemented
88	#492×C₇₉	C₂²	1	1	yes	characteristic
89	#490×C₇₉	C₂²	1	1	yes	characteristic
90	#489×C₇₉	C₂²	1	1	yes	characteristic, complemented
91	#488×C₇₉	C₂²	1	1	yes	characteristic, complemented
92	#488×C₇₉	C₂²	1	1	yes	characteristic, complemented
93	#488×C₇₉	C₂²	1	1	yes	characteristic, complemented
94	#486×C₇₉	C₂²	1	1	yes	characteristic
95	#485×C₇₉	C₂²	1	1	yes	characteristic, complemented
96	#483×C₇₉	C₂²	1	1	yes	characteristic, complemented
97	#482×C₇₉	C₂²	1	1	yes	characteristic
98	#481×C₇₉	C₂²	1	1	yes	characteristic
99	#481×C₇₉	C₂²	1	1	yes	characteristic, complemented
100	#481×C₇₉	C₂²	1	1	yes	characteristic, complemented
101	#479×C₇₉	C₂²	1	1	yes	characteristic, complemented
102	#478×C₇₉	C₂²	1	1	yes	characteristic, complemented
103	#478×C₇₉	C₂²	1	1	yes	characteristic, complemented
104	#478×C₇₉	C₂²	1	1	yes	characteristic, complemented
105	#477×C₇₉	C₂²	1	1	yes	characteristic, complemented
106	#476×C₇₉	C₂²	1	1	yes	characteristic, complemented
107	#476×C₇₉	C₂²	1	1	yes	characteristic, complemented
108	#475×C₇₉	C₂²	1	1	yes	characteristic, complemented
109	#475×C₇₉	C₂²	1	1	yes	characteristic, complemented
110	#475×C₇₉	C₂²	1	1	yes	characteristic, complemented
111	#470×C₇₉	C₂²	1	1	yes	characteristic, complemented
112	#470×C₇₉	C₂²	1	1	yes	characteristic, complemented
113	#469×C₇₉	C₂²	1	1	yes	characteristic
114	#468×C₇₉	C₂²	1	1	yes	characteristic
115	#467×C₇₉	C₂²	1	1	yes	characteristic, complemented
116	#466×C₇₉	C₂²	1	1	yes	characteristic, complemented
117	#466×C₇₉	C₂²	1	1	yes	characteristic, complemented
118	#465×C₇₉	C₂²	1	1	yes	characteristic
119	#465×C₇₉	C₂²	1	1	yes	characteristic
120	#465×C₇₉	C₂²	1	1	yes	characteristic, complemented
121	#465×C₇₉	C₂²	1	1	yes	characteristic, complemented
122	#465×C₇₉	C₂²	1	1	yes	characteristic, complemented
123	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
124	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
125	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
126	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
128	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
129	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
130	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
131	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
132	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
133	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
134	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
135	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
136	#464×C₇₉	C₂²	1	1	yes	characteristic, complemented
137	#463×C₇₉	C₂²	1	1	yes	characteristic, complemented
138	#463×C₇₉	C₂²	1	1	yes	characteristic, complemented
139	#463×C₇₉	C₂²	1	1	yes	characteristic, complemented
140	#463×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	#463×C₇₉	C₂²	1	1	yes	characteristic, complemented
142	#463×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	#462×C₇₉	C₂²	1	1	yes	characteristic, complemented
144	#461×C₇₉	C₂²	1	1	yes	characteristic, complemented
145	#460×C₇₉	C₂²	1	1	yes	characteristic
146	#460×C₇₉	C₂²	1	1	yes	characteristic
147	#460×C₇₉	C₂²	1	1	yes	characteristic
148	#460×C₇₉	C₂²	1	1	yes	characteristic, complemented
149	#460×C₇₉	C₂²	1	1	yes	characteristic, complemented
150	#460×C₇₉	C₂²	1	1	yes	characteristic, complemented
151	#459×C₇₉	C₂²	1	1	yes	characteristic
152	#459×C₇₉	C₂²	1	1	yes	characteristic, complemented
153	#452×C₇₉	C₂²	1	1	yes	characteristic, complemented
154	#452×C₇₉	C₂²	1	1	yes	characteristic, complemented
155	#452×C₇₉	C₂²	1	1	yes	characteristic, complemented
156	#452×C₇₉	C₂²	1	1	yes	characteristic, complemented
157	#451×C₇₉	C₂²	1	1	yes	characteristic, complemented
158	#451×C₇₉	C₂²	1	1	yes	characteristic, complemented
159	#450×C₇₉	C₂²	1	1	yes	characteristic
160	#450×C₇₉	C₂²	1	1	yes	characteristic, complemented
161	#450×C₇₉	C₂²	1	1	yes	characteristic, complemented
162	#450×C₇₉	C₂²	1	1	yes	characteristic, complemented
163	#449×C₇₉	C₂²	1	1	yes	characteristic
164	#449×C₇₉	C₂²	1	1	yes	characteristic, complemented
165	#448×C₇₉	C₂²	1	1	yes	characteristic
166	#448×C₇₉	C₂²	1	1	yes	characteristic, complemented
167	#448×C₇₉	C₂²	1	1	yes	characteristic, complemented
168	#448×C₇₉	C₂²	1	1	yes	characteristic, complemented
169	#447×C₇₉	C₂²	1	1	yes	characteristic
170	#447×C₇₉	C₂²	1	1	yes	characteristic, complemented
171	#446×C₇₉	C₂²	1	1	yes	characteristic, complemented
172	C₈×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
173	#442×C₇₉	C₂²	1	1	yes	characteristic, complemented
174	#441×C₇₉	C₂²	1	1	yes	characteristic, complemented
175	#441×C₇₉	C₂²	1	1	yes	characteristic, complemented
176	#440×C₇₉	C₂²	1	1	yes	characteristic, complemented
177	C₄×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
179	C₄×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
180	C₄×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
181	C₄×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
184	C₄×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
185	#436×C₇₉	C₂²	1	1	yes	characteristic, complemented
186	#435×C₇₉	C₂²	1	1	yes	characteristic, complemented
187	#435×C₇₉	C₂²	1	1	yes	characteristic, complemented
188	C₈×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
189	C₈×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
190	C₈×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
191	#433×C₇₉	C₂²	1	1	yes	characteristic, complemented
192	#433×C₇₉	C₂²	1	1	yes	characteristic, complemented
193	#431×C₇₉	C₂²	1	1	yes	characteristic, complemented
194	#424×C₇₉	C₂²	1	1	yes	characteristic, complemented
195	#424×C₇₉	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
197	#418×C₇₉	C₂²	1	1	yes	characteristic, complemented
198	#417×C₇₉	C₂²	1	1	yes	characteristic, complemented
199	#416×C₇₉	C₂²	1	1	yes	characteristic, complemented
200	C₂×#103×C₇₉	C₂²	1	1	yes	characteristic, complemented
201	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
202	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₇₉	—	2	1	no	—
204	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
205	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
206	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₇₉	—	2	1	no	—
211	C₂²×D₄×C₇₉	—	2	1	no	—
212	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
215	#137×C₇₉	—	4	2	no	—
216	AGL(1,ℤ/8)×C₇₉	—	4	2	no	—
217	#135×C₇₉	—	4	2	no	—
218	C₂×Q₁₆×C₇₉	—	4	2	no	—
219	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
220	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
221	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
224	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₇₉	—	4	2	no	—
226	C₂×SD₁₆×C₇₉	—	4	2	no	—
227	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
236	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
237	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
238	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
239	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
240	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic
241	C₂×D₈×C₇₉	C₂³	1	1	yes	characteristic
242	C₂×D₈×C₇₉	C₂³	1	1	yes	characteristic
243	C₂×D₈×C₇₉	C₂³	1	1	yes	characteristic
244	C₂×D₈×C₇₉	C₂³	1	1	yes	characteristic
245	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
246	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
248	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
251	C₄⋊Q₈×C₇₉	—	2	1	no	—
252	C₄⋊Q₈×C₇₉	—	2	1	no	—
253	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
254	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
255	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
256	#127×C₇₉	C₂³	1	1	yes	characteristic
257	#127×C₇₉	C₂³	1	1	yes	characteristic
258	#127×C₇₉	C₂³	1	1	yes	characteristic
259	#126×C₇₉	—	2	1	no	—
260	#126×C₇₉	—	2	1	no	—
261	#126×C₇₉	—	2	1	no	—
262	#126×C₇₉	—	2	1	no	—
263	#126×C₇₉	—	2	1	no	—
264	#126×C₇₉	—	2	1	no	—
265	#126×C₇₉	—	2	1	no	—
266	#126×C₇₉	—	2	1	no	—
267	#126×C₇₉	—	2	1	no	—
268	#126×C₇₉	—	2	1	no	—
269	#126×C₇₉	D₄	1	1	yes	characteristic
270	#126×C₇₉	D₄	1	1	yes	characteristic
271	#125×C₇₉	—	2	1	no	—
272	#125×C₇₉	—	2	1	no	—
273	#125×C₇₉	—	2	1	no	—
274	#125×C₇₉	—	2	1	no	—
275	#125×C₇₉	—	2	1	no	—
276	#125×C₇₉	—	2	1	no	—
277	#125×C₇₉	D₄	1	1	yes	characteristic
278	#125×C₇₉	C₂³	1	1	yes	characteristic
279	#125×C₇₉	C₂³	1	1	yes	characteristic
280	#124×C₇₉	—	2	1	no	—
281	#124×C₇₉	—	2	1	no	—
282	#124×C₇₉	—	2	1	no	—
283	#124×C₇₉	—	2	1	no	—
284	#124×C₇₉	—	2	1	no	—
285	#124×C₇₉	—	2	1	no	—
286	#124×C₇₉	—	2	1	no	—
287	#124×C₇₉	—	2	1	no	—
288	#124×C₇₉	—	2	1	no	—
289	#124×C₇₉	—	2	1	no	—
290	#124×C₇₉	—	2	1	no	—
291	#124×C₇₉	—	2	1	no	—
292	#124×C₇₉	D₄	1	1	yes	characteristic
293	#124×C₇₉	C₂³	1	1	yes	characteristic
294	#124×C₇₉	C₂³	1	1	yes	characteristic
295	#124×C₇₉	C₂³	1	1	yes	characteristic
296	#124×C₇₉	C₂³	1	1	yes	characteristic
297	#124×C₇₉	C₂³	1	1	yes	characteristic
298	#124×C₇₉	C₂³	1	1	yes	characteristic
299	#124×C₇₉	C₂³	1	1	yes	characteristic
300	#124×C₇₉	C₂³	1	1	yes	characteristic
301	#123×C₇₉	—	2	1	no	—
302	#123×C₇₉	—	2	1	no	—
303	#123×C₇₉	—	2	1	no	—
304	#123×C₇₉	—	2	1	no	—
305	#123×C₇₉	—	2	1	no	—
306	#123×C₇₉	—	2	1	no	—
307	#123×C₇₉	—	2	1	no	—
308	#123×C₇₉	—	2	1	no	—
309	#123×C₇₉	—	2	1	no	—
310	#123×C₇₉	—	2	1	no	—
311	#123×C₇₉	—	2	1	no	—
312	#123×C₇₉	—	2	1	no	—
313	#123×C₇₉	D₄	1	1	yes	characteristic
314	#123×C₇₉	D₄	1	1	yes	characteristic
315	C₂²⋊Q₈×C₇₉	—	2	1	no	—
316	C₂²⋊Q₈×C₇₉	—	2	1	no	—
317	C₂²⋊Q₈×C₇₉	—	2	1	no	—
318	C₂²⋊Q₈×C₇₉	—	2	1	no	—
319	C₂²⋊Q₈×C₇₉	—	2	1	no	—
320	C₂²⋊Q₈×C₇₉	—	2	1	no	—
321	C₂²⋊Q₈×C₇₉	—	2	1	no	—
322	C₂²⋊Q₈×C₇₉	—	2	1	no	—
323	C₂²⋊Q₈×C₇₉	—	2	1	no	—
324	C₂²⋊Q₈×C₇₉	—	2	1	no	—
325	C₂²⋊Q₈×C₇₉	—	2	1	no	—
326	C₂²⋊Q₈×C₇₉	—	2	1	no	—
327	C₂²⋊Q₈×C₇₉	D₄	1	1	yes	characteristic
328	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
329	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
330	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
331	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
332	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
333	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
334	#121×C₇₉	—	2	1	no	—
335	#121×C₇₉	—	2	1	no	—
336	#121×C₇₉	—	2	1	no	—
337	#121×C₇₉	—	2	1	no	—
338	#121×C₇₉	—	2	1	no	—
339	#121×C₇₉	—	2	1	no	—
340	#121×C₇₉	—	2	1	no	—
341	#121×C₇₉	—	2	1	no	—
342	#121×C₇₉	—	2	1	no	—
343	#121×C₇₉	—	2	1	no	—
344	#121×C₇₉	—	2	1	no	—
345	#121×C₇₉	—	2	1	no	—
346	#121×C₇₉	—	2	1	no	—
347	#121×C₇₉	—	2	1	no	—
348	#121×C₇₉	D₄	1	1	yes	characteristic
349	#121×C₇₉	C₂³	1	1	yes	characteristic
350	#121×C₇₉	C₂³	1	1	yes	characteristic
351	#121×C₇₉	C₂³	1	1	yes	characteristic
352	#121×C₇₉	C₂³	1	1	yes	characteristic
353	#121×C₇₉	C₂³	1	1	yes	characteristic
354	#121×C₇₉	C₂³	1	1	yes	characteristic
355	#120×C₇₉	—	2	1	no	—
356	#120×C₇₉	—	2	1	no	—
357	#120×C₇₉	—	2	1	no	—
358	#120×C₇₉	—	2	1	no	—
359	#120×C₇₉	—	2	1	no	—
360	#120×C₇₉	—	2	1	no	—
361	#120×C₇₉	—	2	1	no	—
362	#120×C₇₉	—	2	1	no	—
363	#120×C₇₉	—	2	1	no	—
364	#120×C₇₉	—	2	1	no	—
365	C₄×Q₈×C₇₉	—	2	1	no	—
366	C₄×Q₈×C₇₉	—	2	1	no	—
367	C₄×Q₈×C₇₉	—	2	1	no	—
368	C₄×Q₈×C₇₉	—	2	1	no	—
369	C₄×Q₈×C₇₉	—	2	1	no	—
370	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
374	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
375	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
376	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
377	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
378	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
379	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
380	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₇₉	—	2	1	no	—
382	C₄×D₄×C₇₉	—	2	1	no	—
383	C₄×D₄×C₇₉	—	2	1	no	—
384	C₄×D₄×C₇₉	—	2	1	no	—
385	C₄×D₄×C₇₉	—	2	1	no	—
386	C₄×D₄×C₇₉	—	2	1	no	—
387	C₄×D₄×C₇₉	—	2	1	no	—
388	C₄×D₄×C₇₉	—	2	1	no	—
389	C₄×D₄×C₇₉	—	2	1	no	—
390	C₄×D₄×C₇₉	—	2	1	no	—
391	C₄×D₄×C₇₉	—	2	1	no	—
392	C₄×D₄×C₇₉	—	2	1	no	—
393	C₄×D₄×C₇₉	—	2	1	no	—
394	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
402	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
403	#117×C₇₉	—	2	1	no	—
404	#117×C₇₉	—	2	1	no	—
405	#117×C₇₉	—	2	1	no	—
406	#117×C₇₉	—	2	1	no	—
407	#117×C₇₉	—	2	1	no	—
408	#117×C₇₉	—	2	1	no	—
409	#117×C₇₉	C₂³	1	1	yes	characteristic
410	#117×C₇₉	C₂³	1	1	yes	characteristic
411	#117×C₇₉	C₂³	1	1	yes	characteristic
412	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
413	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
414	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
415	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
416	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
417	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
418	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
419	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
420	C₂×C₄²×C₇₉	—	2	1	no	—
421	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
422	#107×C₇₉	C₂³	1	1	yes	characteristic
423	#107×C₇₉	C₂³	1	1	yes	characteristic
424	#106×C₇₉	C₂³	1	1	yes	characteristic
425	#106×C₇₉	C₂³	1	1	yes	characteristic
426	#106×C₇₉	C₂³	1	1	yes	characteristic
427	#106×C₇₉	C₂³	1	1	yes	characteristic
428	#106×C₇₉	C₂³	1	1	yes	characteristic
429	#106×C₇₉	C₂³	1	1	yes	characteristic
430	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
433	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
434	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
435	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
436	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
437	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
438	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
439	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
440	#103×C₇₉	C₂³	1	1	yes	characteristic
441	#103×C₇₉	C₂³	1	1	yes	characteristic
442	#103×C₇₉	C₂³	1	1	yes	characteristic
443	#103×C₇₉	C₂³	1	1	yes	characteristic
444	#103×C₇₉	C₂³	1	1	yes	characteristic
445	#103×C₇₉	C₂³	1	1	yes	characteristic
446	#103×C₇₉	C₂³	1	1	yes	characteristic
447	#103×C₇₉	C₂³	1	1	yes	characteristic
448	#103×C₇₉	C₂³	1	1	yes	characteristic
449	#103×C₇₉	C₂³	1	1	yes	characteristic
450	#103×C₇₉	C₂³	1	1	yes	characteristic
451	#103×C₇₉	C₂³	1	1	yes	characteristic
452	#103×C₇₉	C₂³	1	1	yes	characteristic
453	#103×C₇₉	C₂³	1	1	yes	characteristic
454	#102×C₇₉	C₂³	1	1	yes	characteristic
455	#102×C₇₉	C₂³	1	1	yes	characteristic
456	#102×C₇₉	C₂³	1	1	yes	characteristic
457	#102×C₇₉	C₂³	1	1	yes	characteristic
458	#102×C₇₉	C₂³	1	1	yes	characteristic
459	#102×C₇₉	C₂³	1	1	yes	characteristic
460	#102×C₇₉	C₂³	1	1	yes	characteristic
461	#102×C₇₉	C₂³	1	1	yes	characteristic
462	#102×C₇₉	C₂³	1	1	yes	characteristic
463	#102×C₇₉	C₂³	1	1	yes	characteristic
464	#102×C₇₉	C₂³	1	1	yes	characteristic
465	#102×C₇₉	C₂³	1	1	yes	characteristic
466	#102×C₇₉	C₂³	1	1	yes	characteristic
467	#102×C₇₉	C₂³	1	1	yes	characteristic
468	#102×C₇₉	C₂³	1	1	yes	characteristic
469	#102×C₇₉	C₂³	1	1	yes	characteristic
470	#102×C₇₉	C₂³	1	1	yes	characteristic
471	#102×C₇₉	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
478	#97×C₇₉	C₂³	1	1	yes	characteristic
479	#97×C₇₉	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
481	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
484	C₂⁴×C₇₉	—	2	1	no	—
485	C₂⁴×C₇₉	—	2	1	no	—
486	C₂⁴×C₇₉	—	2	1	no	—
487	#41×C₇₉	—	2	2	no	—
488	#41×C₇₉	—	4	1	no	—
489	#41×C₇₉	—	4	1	no	—
490	#41×C₇₉	—	4	1	no	—
491	#41×C₇₉	—	4	1	no	—
492	#41×C₇₉	—	4	1	no	—
493	#41×C₇₉	—	8	2	no	—
494	C₂×Q₈×C₇₉	—	2	1	no	—
495	C₂×Q₈×C₇₉	—	2	1	no	—
496	C₂×Q₈×C₇₉	—	2	1	no	—
497	C₂×Q₈×C₇₉	—	2	1	no	—
498	C₂×Q₈×C₇₉	—	2	1	no	—
499	C₂×Q₈×C₇₉	—	2	2	no	—
500	C₂×Q₈×C₇₉	—	2	2	no	—
501	C₂×Q₈×C₇₉	—	4	1	no	—
502	C₂×Q₈×C₇₉	—	4	1	no	—
503	C₂×Q₈×C₇₉	—	4	1	no	—
504	C₂×Q₈×C₇₉	—	4	1	no	—
505	C₂×Q₈×C₇₉	C₂×D₄	1	1	yes	characteristic
506	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₇₉	—	2	1	no	—
512	C₂×D₄×C₇₉	—	2	1	no	—
513	C₂×D₄×C₇₉	—	2	1	no	—
514	C₂×D₄×C₇₉	—	2	1	no	—
515	C₂×D₄×C₇₉	—	2	1	no	—
516	C₂×D₄×C₇₉	—	2	1	no	—
517	C₂×D₄×C₇₉	—	2	1	no	—
518	C₂×D₄×C₇₉	—	2	1	no	—
519	C₂×D₄×C₇₉	—	2	1	no	—
520	C₂×D₄×C₇₉	—	2	1	no	—
521	C₂×D₄×C₇₉	—	2	1	no	—
522	C₂×D₄×C₇₉	—	2	1	no	—
523	C₂×D₄×C₇₉	—	2	1	no	—
524	C₂×D₄×C₇₉	—	2	1	no	—
525	C₂×D₄×C₇₉	—	2	1	no	—
526	C₂×D₄×C₇₉	—	2	1	no	—
527	C₂×D₄×C₇₉	—	2	1	no	—
528	C₂×D₄×C₇₉	—	2	1	no	—
529	C₂×D₄×C₇₉	—	4	1	no	—
530	C₂×D₄×C₇₉	—	4	1	no	—
531	C₂×D₄×C₇₉	—	4	1	no	—
532	C₂×D₄×C₇₉	—	4	1	no	—
533	C₂×D₄×C₇₉	—	4	1	no	—
534	C₂×D₄×C₇₉	—	4	1	no	—
535	C₂×D₄×C₇₉	—	8	2	no	—
536	C₂×D₄×C₇₉	—	8	2	no	—
537	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
538	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
539	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
540	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
541	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
542	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
543	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
544	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₇₉	—	2	1	no	—
546	C₂²×C₄×C₇₉	—	2	1	no	—
547	C₂²×C₄×C₇₉	—	2	1	no	—
548	C₂²×C₄×C₇₉	—	2	1	no	—
549	C₂²×C₄×C₇₉	—	2	1	no	—
550	C₂²×C₄×C₇₉	—	2	1	no	—
551	C₂²×C₄×C₇₉	—	2	1	no	—
552	C₂²×C₄×C₇₉	—	2	1	no	—
553	C₂²×C₄×C₇₉	—	2	1	no	—
554	C₂²×C₄×C₇₉	—	2	1	no	—
555	C₂²×C₄×C₇₉	—	2	1	no	—
556	C₂²×C₄×C₇₉	—	2	1	no	—
557	C₂²×C₄×C₇₉	—	2	1	no	—
558	C₂²×C₄×C₇₉	—	2	1	no	—
559	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
560	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
561	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
564	Q₁₆×C₇₉	—	2	2	no	—
565	Q₁₆×C₇₉	—	2	2	no	—
566	Q₁₆×C₇₉	—	4	1	no	—
567	Q₁₆×C₇₉	—	4	1	no	—
568	Q₁₆×C₇₉	—	4	1	no	—
569	Q₁₆×C₇₉	—	4	1	no	—
570	SD₁₆×C₇₉	—	2	2	no	—
571	SD₁₆×C₇₉	—	2	2	no	—
572	SD₁₆×C₇₉	—	2	2	no	—
573	SD₁₆×C₇₉	—	2	2	no	—
574	SD₁₆×C₇₉	—	4	1	no	—
575	SD₁₆×C₇₉	—	4	1	no	—
576	SD₁₆×C₇₉	—	4	1	no	—
577	SD₁₆×C₇₉	—	4	1	no	—
578	SD₁₆×C₇₉	—	4	1	no	—
579	SD₁₆×C₇₉	—	4	1	no	—
580	SD₁₆×C₇₉	—	4	1	no	—
581	SD₁₆×C₇₉	—	4	1	no	—
582	SD₁₆×C₇₉	—	4	1	no	—
583	SD₁₆×C₇₉	—	4	1	no	—
584	D₈×C₇₉	—	4	1	no	—
585	D₈×C₇₉	—	4	1	no	—
586	D₈×C₇₉	—	4	1	no	—
587	D₈×C₇₉	—	4	1	no	—
588	M₁₆×C₇₉	—	4	1	no	—
589	M₁₆×C₇₉	—	4	1	no	—
590	C₂×C₈×C₇₉	—	4	1	no	—
591	C₂×C₈×C₇₉	—	4	1	no	—
592	C₂×C₈×C₇₉	—	4	1	no	—
593	C₂×C₈×C₇₉	—	4	1	no	—
594	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
595	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
596	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
597	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
598	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
599	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
600	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
602	C₄⋊C₄×C₇₉	—	2	1	no	—
603	C₄⋊C₄×C₇₉	—	2	1	no	—
604	C₄⋊C₄×C₇₉	—	2	1	no	—
605	C₄⋊C₄×C₇₉	—	2	1	no	—
606	C₄⋊C₄×C₇₉	—	2	1	no	—
607	C₄⋊C₄×C₇₉	—	2	1	no	—
608	C₄⋊C₄×C₇₉	—	2	1	no	—
609	C₄⋊C₄×C₇₉	—	2	1	no	—
610	C₄⋊C₄×C₇₉	—	2	1	no	—
611	C₄⋊C₄×C₇₉	—	2	1	no	—
612	C₄⋊C₄×C₇₉	—	2	1	no	—
613	C₄⋊C₄×C₇₉	—	2	1	no	—
614	C₄⋊C₄×C₇₉	—	2	1	no	—
615	C₄⋊C₄×C₇₉	—	2	1	no	—
616	C₄⋊C₄×C₇₉	—	2	1	no	—
617	C₄⋊C₄×C₇₉	—	2	1	no	—
618	C₄⋊C₄×C₇₉	—	2	1	no	—
619	C₄⋊C₄×C₇₉	—	2	1	no	—
620	C₄⋊C₄×C₇₉	—	2	1	no	—
621	C₄⋊C₄×C₇₉	—	2	1	no	—
622	C₄⋊C₄×C₇₉	—	2	1	no	—
623	C₄⋊C₄×C₇₉	—	2	1	no	—
624	C₄⋊C₄×C₇₉	—	2	1	no	—
625	C₄⋊C₄×C₇₉	—	2	1	no	—
626	C₄⋊C₄×C₇₉	—	2	1	no	—
627	C₄⋊C₄×C₇₉	—	2	1	no	—
628	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
629	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
630	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
631	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
632	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
639	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
640	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
641	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
642	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
644	C₂²⋊C₄×C₇₉	—	2	1	no	—
645	C₂²⋊C₄×C₇₉	—	2	1	no	—
646	C₂²⋊C₄×C₇₉	—	2	1	no	—
647	C₂²⋊C₄×C₇₉	—	2	1	no	—
648	C₂²⋊C₄×C₇₉	—	2	1	no	—
649	C₂²⋊C₄×C₇₉	—	2	1	no	—
650	C₂²⋊C₄×C₇₉	—	2	1	no	—
651	C₂²⋊C₄×C₇₉	—	2	1	no	—
652	C₂²⋊C₄×C₇₉	—	2	1	no	—
653	C₂²⋊C₄×C₇₉	—	2	1	no	—
654	C₂²⋊C₄×C₇₉	—	2	1	no	—
655	C₂²⋊C₄×C₇₉	—	2	1	no	—
656	C₂²⋊C₄×C₇₉	—	2	1	no	—
657	C₂²⋊C₄×C₇₉	—	2	1	no	—
658	C₂²⋊C₄×C₇₉	—	2	1	no	—
659	C₂²⋊C₄×C₇₉	—	2	1	no	—
660	C₂²⋊C₄×C₇₉	—	2	1	no	—
661	C₂²⋊C₄×C₇₉	—	2	1	no	—
662	C₂²⋊C₄×C₇₉	—	2	1	no	—
663	C₂²⋊C₄×C₇₉	—	2	1	no	—
664	C₂²⋊C₄×C₇₉	—	2	1	no	—
665	C₂²⋊C₄×C₇₉	—	2	1	no	—
666	C₂²⋊C₄×C₇₉	—	2	1	no	—
667	C₂²⋊C₄×C₇₉	—	2	1	no	—
668	C₂²⋊C₄×C₇₉	—	2	1	no	—
669	C₂²⋊C₄×C₇₉	—	2	1	no	—
670	C₂²⋊C₄×C₇₉	—	2	1	no	—
671	C₂²⋊C₄×C₇₉	—	2	1	no	—
672	C₂²⋊C₄×C₇₉	—	2	1	no	—
673	C₂²⋊C₄×C₇₉	—	2	1	no	—
674	C₂²⋊C₄×C₇₉	—	2	1	no	—
675	C₂²⋊C₄×C₇₉	—	2	1	no	—
676	C₂²⋊C₄×C₇₉	—	2	1	no	—
677	C₂²⋊C₄×C₇₉	—	2	1	no	—
678	C₂²⋊C₄×C₇₉	—	2	1	no	—
679	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
680	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
689	C₄²×C₇₉	—	2	1	no	—
690	C₄²×C₇₉	—	2	1	no	—
691	C₄²×C₇₉	—	2	1	no	—
692	C₄²×C₇₉	—	2	1	no	—
693	C₄²×C₇₉	—	2	1	no	—
694	C₄²×C₇₉	—	2	1	no	—
695	C₄²×C₇₉	—	2	1	no	—
696	C₄²×C₇₉	—	2	1	no	—
697	C₄²×C₇₉	—	2	1	no	—
698	C₄²×C₇₉	—	2	1	no	—
699	C₄²×C₇₉	—	2	1	no	—
700	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
701	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
703	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
704	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
705	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
706	C₂³×C₇₉	—	2	1	no	—
707	C₂³×C₇₉	—	2	1	no	—
708	C₂³×C₇₉	—	2	1	no	—
709	C₂³×C₇₉	—	2	1	no	—
710	C₂³×C₇₉	—	2	1	no	—
711	C₂³×C₇₉	—	4	2	no	—
712	C₂³×C₇₉	—	8	1	no	—
713	C₂³×C₇₉	—	8	1	no	—
714	C₂³×C₇₉	—	8	1	no	—
715	C₂³×C₇₉	—	8	1	no	—
716	C₂³×C₇₉	—	8	1	no	—
717	C₂³×C₇₉	—	8	1	no	—
718	C₂³×C₇₉	—	8	1	no	—
719	C₂³×C₇₉	—	8	1	no	—
720	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
721	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
722	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
723	Q₈×C₇₉	—	2	1	no	—
724	Q₈×C₇₉	—	2	1	no	—
725	Q₈×C₇₉	—	2	1	no	—
726	Q₈×C₇₉	—	2	1	no	—
727	Q₈×C₇₉	—	2	1	no	—
728	Q₈×C₇₉	—	2	1	no	—
729	Q₈×C₇₉	—	2	1	no	—
730	Q₈×C₇₉	—	2	1	no	—
731	Q₈×C₇₉	—	2	1	no	—
732	Q₈×C₇₉	—	4	1	no	—
733	Q₈×C₇₉	—	4	2	no	—
734	Q₈×C₇₉	—	4	2	no	—
735	Q₈×C₇₉	—	8	1	no	—
736	Q₈×C₇₉	—	8	1	no	—
737	Q₈×C₇₉	—	8	1	no	—
738	Q₈×C₇₉	H(5,𝔽₂)	1	2	yes	—
739	D₄×C₇₉	—	2	2	no	—
740	D₄×C₇₉	—	2	2	no	—
741	D₄×C₇₉	—	2	1	no	—
742	D₄×C₇₉	—	2	1	no	—
743	D₄×C₇₉	—	2	1	no	—
744	D₄×C₇₉	—	2	1	no	—
745	D₄×C₇₉	—	2	1	no	—
746	D₄×C₇₉	—	2	1	no	—
747	D₄×C₇₉	—	2	1	no	—
748	D₄×C₇₉	—	2	1	no	—
749	D₄×C₇₉	—	2	1	no	—
750	D₄×C₇₉	—	2	1	no	—
751	D₄×C₇₉	—	4	1	no	—
752	D₄×C₇₉	—	4	2	no	—
753	D₄×C₇₉	—	4	2	no	—
754	D₄×C₇₉	—	4	2	no	—
755	D₄×C₇₉	—	4	2	no	—
756	D₄×C₇₉	—	8	1	no	—
757	D₄×C₇₉	—	8	1	no	—
758	D₄×C₇₉	—	8	1	no	—
759	D₄×C₇₉	—	8	1	no	—
760	D₄×C₇₉	—	8	1	no	—
761	D₄×C₇₉	—	8	1	no	—
762	D₄×C₇₉	—	8	1	no	—
763	D₄×C₇₉	—	8	1	no	—
764	D₄×C₇₉	—	8	1	no	—
765	D₄×C₇₉	—	8	1	no	—
766	D₄×C₇₉	—	8	1	no	—
767	D₄×C₇₉	—	8	1	no	—
768	D₄×C₇₉	—	8	1	no	—
769	D₄×C₇₉	—	8	1	no	—
770	C₂×C₄×C₇₉	—	2	2	no	—
771	C₂×C₄×C₇₉	—	2	1	no	—
772	C₂×C₄×C₇₉	—	2	1	no	—
773	C₂×C₄×C₇₉	—	2	1	no	—
774	C₂×C₄×C₇₉	—	2	1	no	—
775	C₂×C₄×C₇₉	—	2	1	no	—
776	C₂×C₄×C₇₉	—	2	1	no	—
777	C₂×C₄×C₇₉	—	2	1	no	—
778	C₂×C₄×C₇₉	—	2	1	no	—
779	C₂×C₄×C₇₉	—	2	1	no	—
780	C₂×C₄×C₇₉	—	2	1	no	—
781	C₂×C₄×C₇₉	—	2	1	no	—
782	C₂×C₄×C₇₉	—	2	1	no	—
783	C₂×C₄×C₇₉	—	2	1	no	—
784	C₂×C₄×C₇₉	—	2	1	no	—
785	C₂×C₄×C₇₉	—	2	1	no	—
786	C₂×C₄×C₇₉	—	2	1	no	—
787	C₂×C₄×C₇₉	—	2	1	no	—
788	C₂×C₄×C₇₉	—	4	1	no	—
789	C₂×C₄×C₇₉	—	4	2	no	—
790	C₂×C₄×C₇₉	—	4	2	no	—
791	C₂×C₄×C₇₉	—	4	2	no	—
792	C₂×C₄×C₇₉	—	8	1	no	—
793	C₂×C₄×C₇₉	—	8	1	no	—
794	C₂×C₄×C₇₉	—	8	1	no	—
795	C₂×C₄×C₇₉	—	8	1	no	—
796	C₂×C₄×C₇₉	—	8	1	no	—
797	C₂×C₄×C₇₉	—	8	1	no	—
798	C₂×C₄×C₇₉	—	8	1	no	—
799	C₂×C₄×C₇₉	—	8	1	no	—
800	C₂×C₄×C₇₉	—	8	1	no	—
801	C₂×C₄×C₇₉	—	8	1	no	—
802	C₂×C₄×C₇₉	—	8	1	no	—
803	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
815	C₈×C₇₉	—	2	1	no	—
816	C₈×C₇₉	—	2	1	no	—
817	C₈×C₇₉	—	2	1	no	—
818	C₈×C₇₉	—	2	1	no	—
819	C₈×C₇₉	—	2	1	no	—
820	C₈×C₇₉	—	2	1	no	—
821	C₈×C₇₉	—	2	1	no	—
822	C₈×C₇₉	—	2	1	no	—
823	C₂²×C₇₉	—	2	1	no	—
824	C₂²×C₇₉	—	2	1	no	—
825	C₂²×C₇₉	—	2	1	no	—
826	C₂²×C₇₉	—	2	1	no	—
827	C₂²×C₇₉	—	2	1	no	—
828	C₂²×C₇₉	—	2	1	no	—
829	C₂²×C₇₉	—	2	1	no	—
830	C₂²×C₇₉	—	2	1	no	—
831	C₂²×C₇₉	—	4	1	no	—
832	C₂²×C₇₉	—	4	1	no	—
833	C₂²×C₇₉	—	4	1	no	—
834	C₂²×C₇₉	—	4	1	no	—
835	C₂²×C₇₉	—	4	1	no	—
836	C₂²×C₇₉	—	4	1	no	—
837	C₂²×C₇₉	—	4	1	no	—
838	C₂²×C₇₉	—	4	1	no	—
839	C₂²×C₇₉	—	4	1	no	—
840	C₂²×C₇₉	—	4	1	no	—
841	C₂²×C₇₉	—	4	1	no	—
842	C₂²×C₇₉	—	4	1	no	—
843	C₂²×C₇₉	—	4	1	no	—
844	C₂²×C₇₉	—	4	1	no	—
845	C₂²×C₇₉	—	4	1	no	—
846	C₂²×C₇₉	—	16	2	no	—
847	C₂²×C₇₉	—	16	2	no	—
848	C₂²×C₇₉	—	16	2	no	—
849	C₂²×C₇₉	#577	1	2	yes	—
850	C₂²×C₇₉	C₂³×D₄	1	1	yes	characteristic
851	C₄×C₇₉	—	2	1	no	—
852	C₄×C₇₉	—	2	1	no	—
853	C₄×C₇₉	—	2	1	no	—
854	C₄×C₇₉	—	2	1	no	—
855	C₄×C₇₉	—	2	1	no	—
856	C₄×C₇₉	—	2	1	no	—
857	C₄×C₇₉	—	2	1	no	—
858	C₄×C₇₉	—	2	2	no	—
859	C₄×C₇₉	—	2	1	no	—
860	C₄×C₇₉	—	2	1	no	—
861	C₄×C₇₉	—	2	1	no	—
862	C₄×C₇₉	—	2	1	no	—
863	C₄×C₇₉	—	4	1	no	—
864	C₄×C₇₉	—	4	1	no	—
865	C₄×C₇₉	—	4	1	no	—
866	C₄×C₇₉	—	4	1	no	—
867	C₄×C₇₉	—	4	1	no	—
868	C₄×C₇₉	—	4	1	no	—
869	C₄×C₇₉	—	4	1	no	—
870	C₄×C₇₉	—	4	1	no	—
871	C₄×C₇₉	—	4	1	no	—
872	C₄×C₇₉	—	4	1	no	—
873	C₄×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
874	C₄×C₇₉	#585	1	1	yes	characteristic
875	#62066	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
876	C₂×C₇₉	—	2	2	no	—
877	C₂×C₇₉	—	4	1	no	—
878	C₂×C₇₉	—	4	1	no	—
879	C₂×C₇₉	—	8	1	no	—
880	C₂×C₇₉	—	8	1	no	—
881	C₂×C₇₉	—	8	1	no	—
882	C₂×C₇₉	—	8	1	no	—
883	C₂×C₇₉	—	8	1	no	—
884	C₂×C₇₉	#3488	1	1	yes	characteristic
885	C₂×C₇₉	C₂×#577	1	1	yes	characteristic
886	C₂×C₇₉	#3584	1	1	yes	characteristic
887	#3558	C₂×C₇₉	1	1	yes	characteristic, complemented
888	#3516	C₂×C₇₉	1	1	yes	characteristic, complemented
889	#3401	C₂×C₇₉	1	1	yes	characteristic, complemented
890	#3394	C₂×C₇₉	1	1	yes	characteristic, complemented
891	#3371	C₂×C₇₉	1	1	yes	characteristic, complemented
892	#3365	C₂×C₇₉	1	1	yes	characteristic, complemented
893	#3323	C₂×C₇₉	1	1	yes	characteristic, complemented
894	#3318	C₂×C₇₉	1	1	yes	characteristic, complemented
895	#3316	C₂×C₇₉	1	1	yes	characteristic, complemented
896	#3301	C₂×C₇₉	1	1	yes	characteristic, complemented
897	#3296	C₂×C₇₉	1	1	yes	characteristic, complemented
898	#3295	C₂×C₇₉	1	1	yes	characteristic, complemented
899	#3285	C₂×C₇₉	1	1	yes	characteristic, complemented
900	#3282	C₂×C₇₉	1	1	yes	characteristic, complemented
901	D₄×SD₁₆	C₂×C₇₉	1	1	yes	characteristic, complemented
902	#3275	C₂×C₇₉	1	1	yes	characteristic, complemented
903	#3270	C₂×C₇₉	1	1	yes	characteristic, complemented
904	#3265	C₂×C₇₉	1	1	yes	characteristic, complemented
905	#3263	C₂×C₇₉	1	1	yes	characteristic, complemented
906	#3258	C₂×C₇₉	1	1	yes	characteristic, complemented
907	#3247	C₂×C₇₉	1	1	yes	characteristic, complemented
908	#3224	C₂×C₇₉	1	1	yes	characteristic, complemented
909	#3222	C₂×C₇₉	1	1	yes	characteristic, complemented
910	#3211	C₂×C₇₉	1	1	yes	characteristic, complemented
911	#3125	C₂×C₇₉	1	1	yes	characteristic, complemented
912	#3121	C₂×C₇₉	1	1	yes	characteristic, complemented
913	#3103	C₂×C₇₉	1	1	yes	characteristic, complemented
914	#3045	C₂×C₇₉	1	1	yes	characteristic, complemented
915	#3043	C₂×C₇₉	1	1	yes	characteristic, complemented
916	C₂×#464	C₂×C₇₉	1	1	yes	characteristic, complemented
917	#2994	C₂×C₇₉	1	1	yes	characteristic, complemented
918	C₇₉	#62066	1	1	yes	characteristic, direct product factor, Sylow
919	C₂×#137	C₂²×C₇₉	1	1	yes	characteristic, complemented
920	C₂×AGL(1,ℤ/8)	C₂²×C₇₉	1	1	yes	characteristic, complemented
921	C₂×#135	C₂²×C₇₉	1	1	yes	characteristic, complemented
922	C₂²×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic, complemented
923	C₂²×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic
924	C₂²×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic, complemented
925	#562	—	2	1	no	—
926	H(3,𝔽₄)	—	2	1	no	—
927	#559	C₂²×C₇₉	1	1	yes	characteristic
928	#559	C₂²×C₇₉	1	1	yes	characteristic
929	#557	C₂²×C₇₉	1	1	yes	characteristic, complemented
930	#556	—	2	1	no	—
931	#556	C₂²×C₇₉	1	1	yes	characteristic, complemented
932	#554	—	2	1	no	—
933	#554	C₂²×C₇₉	1	1	yes	characteristic, complemented
934	#553	—	2	1	no	—
935	#553	C₂²×C₇₉	1	1	yes	characteristic, complemented
936	#552	—	2	1	no	—
937	#552	C₂²×C₇₉	1	1	yes	characteristic, complemented
938	D₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic, complemented
939	#548	C₂²×C₇₉	1	1	yes	characteristic
940	#548	C₂²×C₇₉	1	1	yes	characteristic
941	#548	C₂²×C₇₉	1	1	yes	characteristic, complemented
942	#548	C₂²×C₇₉	1	1	yes	characteristic, complemented
943	#546	—	2	1	no	—
944	#546	—	2	1	no	—
945	#546	C₂²×C₇₉	1	1	yes	characteristic
946	#546	C₂²×C₇₉	1	1	yes	characteristic
947	D₄²	C₂²×C₇₉	1	1	yes	characteristic
948	D₄²	C₂²×C₇₉	1	1	yes	characteristic
949	#542	—	2	1	no	—
950	#542	C₂²×C₇₉	1	1	yes	characteristic
951	#542	C₂²×C₇₉	1	1	yes	characteristic
952	#542	C₂²×C₇₉	1	1	yes	characteristic, complemented
953	#541	—	2	1	no	—
954	#541	C₂²×C₇₉	1	1	yes	characteristic, complemented
955	#538	—	2	1	no	—
956	#538	—	2	1	no	—
957	#538	—	2	1	no	—
958	#535	C₂²×C₇₉	1	1	yes	characteristic
959	#535	C₂²×C₇₉	1	1	yes	characteristic
960	#534	—	2	1	no	—
961	#532	C₂²×C₇₉	1	1	yes	characteristic
962	#529	—	2	1	no	—
963	#529	—	2	1	no	—
964	#529	C₂²×C₇₉	1	1	yes	characteristic
965	#529	C₂²×C₇₉	1	1	yes	characteristic, complemented
966	C₂×#124	C₂²×C₇₉	1	1	yes	characteristic
967	#520	C₂²×C₇₉	1	1	yes	characteristic, complemented
968	#519	C₂²×C₇₉	1	1	yes	characteristic, complemented
969	C₂×C₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic, complemented
970	#497	C₂²×C₇₉	1	1	yes	characteristic, complemented
971	#496	C₂²×C₇₉	1	1	yes	characteristic
972	#495	C₂²×C₇₉	1	1	yes	characteristic, complemented
973	#495	C₂²×C₇₉	1	1	yes	characteristic, complemented
974	#495	C₂²×C₇₉	1	1	yes	characteristic, complemented
975	#492	C₂²×C₇₉	1	1	yes	characteristic
976	#490	C₂²×C₇₉	1	1	yes	characteristic
977	#489	C₂²×C₇₉	1	1	yes	characteristic, complemented
978	#488	C₂²×C₇₉	1	1	yes	characteristic, complemented
979	#488	C₂²×C₇₉	1	1	yes	characteristic, complemented
980	#488	C₂²×C₇₉	1	1	yes	characteristic, complemented
981	#486	C₂²×C₇₉	1	1	yes	characteristic
982	#485	C₂²×C₇₉	1	1	yes	characteristic, complemented
983	#483	C₂²×C₇₉	1	1	yes	characteristic, complemented
984	#482	C₂²×C₇₉	1	1	yes	characteristic
985	#481	C₂²×C₇₉	1	1	yes	characteristic
986	#481	C₂²×C₇₉	1	1	yes	characteristic, complemented
987	#481	C₂²×C₇₉	1	1	yes	characteristic, complemented
988	#479	C₂²×C₇₉	1	1	yes	characteristic, complemented
989	#478	C₂²×C₇₉	1	1	yes	characteristic, complemented
990	#478	C₂²×C₇₉	1	1	yes	characteristic, complemented
991	#478	C₂²×C₇₉	1	1	yes	characteristic, complemented
992	#477	C₂²×C₇₉	1	1	yes	characteristic, complemented
993	#476	C₂²×C₇₉	1	1	yes	characteristic, complemented
994	#476	C₂²×C₇₉	1	1	yes	characteristic, complemented
995	#475	C₂²×C₇₉	1	1	yes	characteristic, complemented
996	#475	C₂²×C₇₉	1	1	yes	characteristic, complemented
997	#475	C₂²×C₇₉	1	1	yes	characteristic, complemented
998	#470	C₂²×C₇₉	1	1	yes	characteristic, complemented
999	#470	C₂²×C₇₉	1	1	yes	characteristic, complemented
1000	#469	C₂²×C₇₉	1	1	yes	characteristic
1001	#468	C₂²×C₇₉	1	1	yes	characteristic
1002	#467	C₂²×C₇₉	1	1	yes	characteristic, complemented
1003	#466	C₂²×C₇₉	1	1	yes	characteristic, complemented
1004	#466	C₂²×C₇₉	1	1	yes	characteristic, complemented
1005	#465	C₂²×C₇₉	1	1	yes	characteristic
1006	#465	C₂²×C₇₉	1	1	yes	characteristic
1007	#465	C₂²×C₇₉	1	1	yes	characteristic, complemented
1008	#465	C₂²×C₇₉	1	1	yes	characteristic, complemented
1009	#465	C₂²×C₇₉	1	1	yes	characteristic, complemented
1010	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1011	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1012	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1013	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1014	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1015	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1016	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1017	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1018	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1019	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1020	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1021	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1022	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1023	#464	C₂²×C₇₉	1	1	yes	characteristic, complemented
1024	#463	C₂²×C₇₉	1	1	yes	characteristic, complemented
1025	#463	C₂²×C₇₉	1	1	yes	characteristic, complemented
1026	#463	C₂²×C₇₉	1	1	yes	characteristic, complemented
1027	#463	C₂²×C₇₉	1	1	yes	characteristic, complemented
1028	#463	C₂²×C₇₉	1	1	yes	characteristic, complemented
1029	#463	C₂²×C₇₉	1	1	yes	characteristic, complemented
1030	#462	C₂²×C₇₉	1	1	yes	characteristic, complemented
1031	#461	C₂²×C₇₉	1	1	yes	characteristic, complemented
1032	#460	C₂²×C₇₉	1	1	yes	characteristic
1033	#460	C₂²×C₇₉	1	1	yes	characteristic
1034	#460	C₂²×C₇₉	1	1	yes	characteristic
1035	#460	C₂²×C₇₉	1	1	yes	characteristic, complemented
1036	#460	C₂²×C₇₉	1	1	yes	characteristic, complemented
1037	#460	C₂²×C₇₉	1	1	yes	characteristic, complemented
1038	#459	C₂²×C₇₉	1	1	yes	characteristic
1039	#459	C₂²×C₇₉	1	1	yes	characteristic, complemented
1040	#452	C₂²×C₇₉	1	1	yes	characteristic, complemented
1041	#452	C₂²×C₇₉	1	1	yes	characteristic, complemented
1042	#452	C₂²×C₇₉	1	1	yes	characteristic, complemented
1043	#452	C₂²×C₇₉	1	1	yes	characteristic, complemented
1044	#451	C₂²×C₇₉	1	1	yes	characteristic, complemented
1045	#451	C₂²×C₇₉	1	1	yes	characteristic, complemented
1046	#450	C₂²×C₇₉	1	1	yes	characteristic
1047	#450	C₂²×C₇₉	1	1	yes	characteristic, complemented
1048	#450	C₂²×C₇₉	1	1	yes	characteristic, complemented
1049	#450	C₂²×C₇₉	1	1	yes	characteristic, complemented
1050	#449	C₂²×C₇₉	1	1	yes	characteristic
1051	#449	C₂²×C₇₉	1	1	yes	characteristic, complemented
1052	#448	C₂²×C₇₉	1	1	yes	characteristic
1053	#448	C₂²×C₇₉	1	1	yes	characteristic, complemented
1054	#448	C₂²×C₇₉	1	1	yes	characteristic, complemented
1055	#448	C₂²×C₇₉	1	1	yes	characteristic, complemented
1056	#447	C₂²×C₇₉	1	1	yes	characteristic
1057	#447	C₂²×C₇₉	1	1	yes	characteristic, complemented
1058	#446	C₂²×C₇₉	1	1	yes	characteristic, complemented
1059	C₈×Q₈	C₂²×C₇₉	1	1	yes	characteristic, complemented
1060	#442	C₂²×C₇₉	1	1	yes	characteristic, complemented
1061	#441	C₂²×C₇₉	1	1	yes	characteristic, complemented
1062	#441	C₂²×C₇₉	1	1	yes	characteristic, complemented
1063	#440	C₂²×C₇₉	1	1	yes	characteristic, complemented
1064	C₄×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic, complemented
1065	C₄×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic, complemented
1066	C₄×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic, complemented
1067	C₄×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic, complemented
1068	C₄×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic, complemented
1069	C₄×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic, complemented
1070	C₄×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic, complemented
1071	C₄×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic, complemented
1072	#436	C₂²×C₇₉	1	1	yes	characteristic, complemented
1073	#435	C₂²×C₇₉	1	1	yes	characteristic, complemented
1074	#435	C₂²×C₇₉	1	1	yes	characteristic, complemented
1075	C₈×D₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
1076	C₈×D₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
1077	C₈×D₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
1078	#433	C₂²×C₇₉	1	1	yes	characteristic, complemented
1079	#433	C₂²×C₇₉	1	1	yes	characteristic, complemented
1080	#431	C₂²×C₇₉	1	1	yes	characteristic, complemented
1081	#424	C₂²×C₇₉	1	1	yes	characteristic, complemented
1082	#424	C₂²×C₇₉	1	1	yes	characteristic, complemented
1083	C₂×C₄⋊C₈	C₂²×C₇₉	1	1	yes	characteristic, complemented
1084	#418	C₂²×C₇₉	1	1	yes	characteristic, complemented
1085	#417	C₂²×C₇₉	1	1	yes	characteristic, complemented
1086	#416	C₂²×C₇₉	1	1	yes	characteristic, complemented
1087	C₂×#103	C₂²×C₇₉	1	1	yes	characteristic, complemented
1088	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic
1089	C₂×#102	C₂²×C₇₉	1	1	yes	characteristic, complemented
1090	C₂×#41	—	2	1	no	—
1091	C₂×#41	C₂³×C₇₉	1	1	yes	characteristic
1092	C₂×#41	C₂³×C₇₉	1	1	yes	characteristic
1093	C₂×#41	C₂³×C₇₉	1	1	yes	characteristic
1094	C₂²×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1095	C₂²×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1096	C₂²×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1097	C₂²×D₄	—	2	1	no	—
1098	C₂²×D₄	—	2	1	no	—
1099	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
1100	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
1101	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
1102	#137	—	4	2	no	—
1103	AGL(1,ℤ/8)	—	4	2	no	—
1104	#135	—	4	2	no	—
1105	C₂×Q₁₆	—	4	2	no	—
1106	C₂×Q₁₆	C₂³×C₇₉	1	1	yes	characteristic
1107	C₂×Q₁₆	C₂³×C₇₉	1	1	yes	characteristic
1108	C₂×Q₁₆	C₂³×C₇₉	1	1	yes	characteristic
1109	C₂×Q₁₆	C₂³×C₇₉	1	1	yes	characteristic
1110	C₂×Q₁₆	C₂³×C₇₉	1	1	yes	characteristic
1111	C₂×Q₁₆	C₂³×C₇₉	1	1	yes	characteristic
1112	C₂×SD₁₆	—	4	2	no	—
1113	C₂×SD₁₆	—	4	2	no	—
1114	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1115	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1116	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1117	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1118	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1119	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1120	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1121	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1122	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1123	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1124	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1125	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1126	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1127	C₂×SD₁₆	C₂³×C₇₉	1	1	yes	characteristic
1128	C₂×D₈	C₂³×C₇₉	1	1	yes	characteristic
1129	C₂×D₈	C₂³×C₇₉	1	1	yes	characteristic
1130	C₂×D₈	C₂³×C₇₉	1	1	yes	characteristic
1131	C₂×D₈	C₂³×C₇₉	1	1	yes	characteristic
1132	C₂×M₁₆	C₂³×C₇₉	1	1	yes	characteristic
1133	C₂×M₁₆	C₂³×C₇₉	1	1	yes	characteristic
1134	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
1135	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
1136	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
1137	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
1138	C₄⋊Q₈	—	2	1	no	—
1139	C₄⋊Q₈	—	2	1	no	—
1140	C₄⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
1141	C₄⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
1142	C₄⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
1143	#127	C₂³×C₇₉	1	1	yes	characteristic
1144	#127	C₂³×C₇₉	1	1	yes	characteristic
1145	#127	C₂³×C₇₉	1	1	yes	characteristic
1146	#126	—	2	1	no	—
1147	#126	—	2	1	no	—
1148	#126	—	2	1	no	—
1149	#126	—	2	1	no	—
1150	#126	—	2	1	no	—
1151	#126	—	2	1	no	—
1152	#126	—	2	1	no	—
1153	#126	—	2	1	no	—
1154	#126	—	2	1	no	—
1155	#126	—	2	1	no	—
1156	#126	D₄×C₇₉	1	1	yes	characteristic
1157	#126	D₄×C₇₉	1	1	yes	characteristic
1158	#125	—	2	1	no	—
1159	#125	—	2	1	no	—
1160	#125	—	2	1	no	—
1161	#125	—	2	1	no	—
1162	#125	—	2	1	no	—
1163	#125	—	2	1	no	—
1164	#125	D₄×C₇₉	1	1	yes	characteristic
1165	#125	C₂³×C₇₉	1	1	yes	characteristic
1166	#125	C₂³×C₇₉	1	1	yes	characteristic
1167	#124	—	2	1	no	—
1168	#124	—	2	1	no	—
1169	#124	—	2	1	no	—
1170	#124	—	2	1	no	—
1171	#124	—	2	1	no	—
1172	#124	—	2	1	no	—
1173	#124	—	2	1	no	—
1174	#124	—	2	1	no	—
1175	#124	—	2	1	no	—
1176	#124	—	2	1	no	—
1177	#124	—	2	1	no	—
1178	#124	—	2	1	no	—
1179	#124	D₄×C₇₉	1	1	yes	characteristic
1180	#124	C₂³×C₇₉	1	1	yes	characteristic
1181	#124	C₂³×C₇₉	1	1	yes	characteristic
1182	#124	C₂³×C₇₉	1	1	yes	characteristic
1183	#124	C₂³×C₇₉	1	1	yes	characteristic
1184	#124	C₂³×C₇₉	1	1	yes	characteristic
1185	#124	C₂³×C₇₉	1	1	yes	characteristic
1186	#124	C₂³×C₇₉	1	1	yes	characteristic
1187	#124	C₂³×C₇₉	1	1	yes	characteristic
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	—	2	1	no	—
1197	#123	—	2	1	no	—
1198	#123	—	2	1	no	—
1199	#123	—	2	1	no	—
1200	#123	D₄×C₇₉	1	1	yes	characteristic
1201	#123	D₄×C₇₉	1	1	yes	characteristic
1202	C₂²⋊Q₈	—	2	1	no	—
1203	C₂²⋊Q₈	—	2	1	no	—
1204	C₂²⋊Q₈	—	2	1	no	—
1205	C₂²⋊Q₈	—	2	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	2	1	no	—
1208	C₂²⋊Q₈	—	2	1	no	—
1209	C₂²⋊Q₈	—	2	1	no	—
1210	C₂²⋊Q₈	—	2	1	no	—
1211	C₂²⋊Q₈	—	2	1	no	—
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	—	2	1	no	—
1214	C₂²⋊Q₈	D₄×C₇₉	1	1	yes	characteristic
1215	C₂²⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
1216	C₂²⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
1217	C₂²⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
1218	C₂²⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
1219	C₂²⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
1220	C₂²⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
1221	#121	—	2	1	no	—
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	2	1	no	—
1226	#121	—	2	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	—	2	1	no	—
1233	#121	—	2	1	no	—
1234	#121	—	2	1	no	—
1235	#121	D₄×C₇₉	1	1	yes	characteristic
1236	#121	C₂³×C₇₉	1	1	yes	characteristic
1237	#121	C₂³×C₇₉	1	1	yes	characteristic
1238	#121	C₂³×C₇₉	1	1	yes	characteristic
1239	#121	C₂³×C₇₉	1	1	yes	characteristic
1240	#121	C₂³×C₇₉	1	1	yes	characteristic
1241	#121	C₂³×C₇₉	1	1	yes	characteristic
1242	#120	—	2	1	no	—
1243	#120	—	2	1	no	—
1244	#120	—	2	1	no	—
1245	#120	—	2	1	no	—
1246	#120	—	2	1	no	—
1247	#120	—	2	1	no	—
1248	#120	—	2	1	no	—
1249	#120	—	2	1	no	—
1250	#120	—	2	1	no	—
1251	#120	—	2	1	no	—
1252	C₄×Q₈	—	2	1	no	—
1253	C₄×Q₈	—	2	1	no	—
1254	C₄×Q₈	—	2	1	no	—
1255	C₄×Q₈	—	2	1	no	—
1256	C₄×Q₈	—	2	1	no	—
1257	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1258	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1259	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1260	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1261	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1262	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1263	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1264	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1265	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1266	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1267	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
1268	C₄×D₄	—	2	1	no	—
1269	C₄×D₄	—	2	1	no	—
1270	C₄×D₄	—	2	1	no	—
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	—	2	1	no	—
1280	C₄×D₄	—	2	1	no	—
1281	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
1282	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
1283	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
1284	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
1285	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
1286	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
1287	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
1288	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
1289	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
1290	#117	—	2	1	no	—
1291	#117	—	2	1	no	—
1292	#117	—	2	1	no	—
1293	#117	—	2	1	no	—
1294	#117	—	2	1	no	—
1295	#117	—	2	1	no	—
1296	#117	C₂³×C₇₉	1	1	yes	characteristic
1297	#117	C₂³×C₇₉	1	1	yes	characteristic
1298	#117	C₂³×C₇₉	1	1	yes	characteristic
1299	C₂×C₄⋊C₄	—	2	1	no	—
1300	C₂×C₄⋊C₄	—	2	1	no	—
1301	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1302	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1303	C₂×C₂²⋊C₄	—	2	1	no	—
1304	C₂×C₂²⋊C₄	—	2	1	no	—
1305	C₂×C₂²⋊C₄	—	2	1	no	—
1306	C₂×C₂²⋊C₄	—	2	1	no	—
1307	C₂×C₄²	—	2	1	no	—
1308	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1309	#107	C₂³×C₇₉	1	1	yes	characteristic
1310	#107	C₂³×C₇₉	1	1	yes	characteristic
1311	#106	C₂³×C₇₉	1	1	yes	characteristic
1312	#106	C₂³×C₇₉	1	1	yes	characteristic
1313	#106	C₂³×C₇₉	1	1	yes	characteristic
1314	#106	C₂³×C₇₉	1	1	yes	characteristic
1315	#106	C₂³×C₇₉	1	1	yes	characteristic
1316	#106	C₂³×C₇₉	1	1	yes	characteristic
1317	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1318	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1319	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1320	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1321	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1322	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1323	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1324	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1325	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1326	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1327	#103	C₂³×C₇₉	1	1	yes	characteristic
1328	#103	C₂³×C₇₉	1	1	yes	characteristic
1329	#103	C₂³×C₇₉	1	1	yes	characteristic
1330	#103	C₂³×C₇₉	1	1	yes	characteristic
1331	#103	C₂³×C₇₉	1	1	yes	characteristic
1332	#103	C₂³×C₇₉	1	1	yes	characteristic
1333	#103	C₂³×C₇₉	1	1	yes	characteristic
1334	#103	C₂³×C₇₉	1	1	yes	characteristic
1335	#103	C₂³×C₇₉	1	1	yes	characteristic
1336	#103	C₂³×C₇₉	1	1	yes	characteristic
1337	#103	C₂³×C₇₉	1	1	yes	characteristic
1338	#103	C₂³×C₇₉	1	1	yes	characteristic
1339	#103	C₂³×C₇₉	1	1	yes	characteristic
1340	#103	C₂³×C₇₉	1	1	yes	characteristic
1341	#102	C₂³×C₇₉	1	1	yes	characteristic
1342	#102	C₂³×C₇₉	1	1	yes	characteristic
1343	#102	C₂³×C₇₉	1	1	yes	characteristic
1344	#102	C₂³×C₇₉	1	1	yes	characteristic
1345	#102	C₂³×C₇₉	1	1	yes	characteristic
1346	#102	C₂³×C₇₉	1	1	yes	characteristic
1347	#102	C₂³×C₇₉	1	1	yes	characteristic
1348	#102	C₂³×C₇₉	1	1	yes	characteristic
1349	#102	C₂³×C₇₉	1	1	yes	characteristic
1350	#102	C₂³×C₇₉	1	1	yes	characteristic
1351	#102	C₂³×C₇₉	1	1	yes	characteristic
1352	#102	C₂³×C₇₉	1	1	yes	characteristic
1353	#102	C₂³×C₇₉	1	1	yes	characteristic
1354	#102	C₂³×C₇₉	1	1	yes	characteristic
1355	#102	C₂³×C₇₉	1	1	yes	characteristic
1356	#102	C₂³×C₇₉	1	1	yes	characteristic
1357	#102	C₂³×C₇₉	1	1	yes	characteristic
1358	#102	C₂³×C₇₉	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1360	C₂²⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1361	C₂²⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1362	C₂²⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1363	C₂²⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1364	C₂²⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
1365	#97	C₂³×C₇₉	1	1	yes	characteristic
1366	#97	C₂³×C₇₉	1	1	yes	characteristic
1367	C₄×C₈	C₂³×C₇₉	1	1	yes	characteristic
1368	C₄×C₈	C₂³×C₇₉	1	1	yes	characteristic
1369	C₄×C₈	C₂³×C₇₉	1	1	yes	characteristic
1370	C₄×C₈	C₂³×C₇₉	1	1	yes	characteristic
1371	C₂⁴	—	2	1	no	—
1372	C₂⁴	—	2	1	no	—
1373	C₂⁴	—	2	1	no	—
1374	#41	—	2	2	no	—
1375	#41	—	4	1	no	—
1376	#41	—	4	1	no	—
1377	#41	—	4	1	no	—
1378	#41	—	4	1	no	—
1379	#41	—	4	1	no	—
1380	#41	—	8	2	no	—
1381	C₂×Q₈	—	2	1	no	—
1382	C₂×Q₈	—	2	1	no	—
1383	C₂×Q₈	—	2	1	no	—
1384	C₂×Q₈	—	2	1	no	—
1385	C₂×Q₈	—	2	1	no	—
1386	C₂×Q₈	—	2	2	no	—
1387	C₂×Q₈	—	2	2	no	—
1388	C₂×Q₈	—	4	1	no	—
1389	C₂×Q₈	—	4	1	no	—
1390	C₂×Q₈	—	4	1	no	—
1391	C₂×Q₈	—	4	1	no	—
1392	C₂×Q₈	C₂×D₄×C₇₉	1	1	yes	characteristic
1393	C₂×Q₈	C₂⁴×C₇₉	1	1	yes	characteristic
1394	C₂×Q₈	C₂⁴×C₇₉	1	1	yes	characteristic
1395	C₂×Q₈	C₂⁴×C₇₉	1	1	yes	characteristic
1396	C₂×Q₈	C₂⁴×C₇₉	1	1	yes	characteristic
1397	C₂×Q₈	C₂⁴×C₇₉	1	1	yes	characteristic
1398	C₂×D₄	—	2	1	no	—
1399	C₂×D₄	—	2	1	no	—
1400	C₂×D₄	—	2	1	no	—
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	4	1	no	—
1417	C₂×D₄	—	4	1	no	—
1418	C₂×D₄	—	4	1	no	—
1419	C₂×D₄	—	4	1	no	—
1420	C₂×D₄	—	4	1	no	—
1421	C₂×D₄	—	4	1	no	—
1422	C₂×D₄	—	8	2	no	—
1423	C₂×D₄	—	8	2	no	—
1424	C₂×D₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1425	C₂×D₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1426	C₂×D₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1427	C₂×D₄	C₂⁴×C₇₉	1	1	yes	characteristic
1428	C₂×D₄	C₂⁴×C₇₉	1	1	yes	characteristic
1429	C₂×D₄	C₂⁴×C₇₉	1	1	yes	characteristic
1430	C₂×D₄	C₂⁴×C₇₉	1	1	yes	characteristic
1431	C₂×D₄	C₂⁴×C₇₉	1	1	yes	characteristic
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1447	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1448	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1449	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1451	Q₁₆	—	2	2	no	—
1452	Q₁₆	—	2	2	no	—
1453	Q₁₆	—	4	1	no	—
1454	Q₁₆	—	4	1	no	—
1455	Q₁₆	—	4	1	no	—
1456	Q₁₆	—	4	1	no	—
1457	SD₁₆	—	2	2	no	—
1458	SD₁₆	—	2	2	no	—
1459	SD₁₆	—	2	2	no	—
1460	SD₁₆	—	2	2	no	—
1461	SD₁₆	—	4	1	no	—
1462	SD₁₆	—	4	1	no	—
1463	SD₁₆	—	4	1	no	—
1464	SD₁₆	—	4	1	no	—
1465	SD₁₆	—	4	1	no	—
1466	SD₁₆	—	4	1	no	—
1467	SD₁₆	—	4	1	no	—
1468	SD₁₆	—	4	1	no	—
1469	SD₁₆	—	4	1	no	—
1470	SD₁₆	—	4	1	no	—
1471	D₈	—	4	1	no	—
1472	D₈	—	4	1	no	—
1473	D₈	—	4	1	no	—
1474	D₈	—	4	1	no	—
1475	M₁₆	—	4	1	no	—
1476	M₁₆	—	4	1	no	—
1477	C₂×C₈	—	4	1	no	—
1478	C₂×C₈	—	4	1	no	—
1479	C₂×C₈	—	4	1	no	—
1480	C₂×C₈	—	4	1	no	—
1481	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
1482	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
1483	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
1484	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
1485	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
1486	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
1487	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
1488	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1516	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1517	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1518	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1519	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1520	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1521	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1522	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1523	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1524	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1525	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1526	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1527	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1528	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1529	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1530	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1567	C₂²⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1568	C₂²⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1569	C₂²⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1572	C₂²⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1573	C₂²⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1574	C₂²⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1575	C₂²⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
1576	C₄²	—	2	1	no	—
1577	C₄²	—	2	1	no	—
1578	C₄²	—	2	1	no	—
1579	C₄²	—	2	1	no	—
1580	C₄²	—	2	1	no	—
1581	C₄²	—	2	1	no	—
1582	C₄²	—	2	1	no	—
1583	C₄²	—	2	1	no	—
1584	C₄²	—	2	1	no	—
1585	C₄²	—	2	1	no	—
1586	C₄²	—	2	1	no	—
1587	C₄²	C₂×D₄×C₇₉	1	1	yes	characteristic
1588	C₄²	C₂×D₄×C₇₉	1	1	yes	characteristic
1589	C₄²	C₂⁴×C₇₉	1	1	yes	characteristic
1590	C₄²	C₂⁴×C₇₉	1	1	yes	characteristic
1591	C₄²	C₂⁴×C₇₉	1	1	yes	characteristic
1592	C₄²	C₂⁴×C₇₉	1	1	yes	characteristic
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	1	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	2	1	no	—
1598	C₂³	—	4	2	no	—
1599	C₂³	—	8	1	no	—
1600	C₂³	—	8	1	no	—
1601	C₂³	—	8	1	no	—
1602	C₂³	—	8	1	no	—
1603	C₂³	—	8	1	no	—
1604	C₂³	—	8	1	no	—
1605	C₂³	—	8	1	no	—
1606	C₂³	—	8	1	no	—
1607	C₂³	C₂²×D₄×C₇₉	1	1	yes	characteristic
1608	C₂³	C₂²×D₄×C₇₉	1	1	yes	characteristic
1609	C₂³	C₂²×D₄×C₇₉	1	1	yes	characteristic
1610	Q₈	—	2	1	no	—
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	2	1	no	—
1614	Q₈	—	2	1	no	—
1615	Q₈	—	2	1	no	—
1616	Q₈	—	2	1	no	—
1617	Q₈	—	2	1	no	—
1618	Q₈	—	2	1	no	—
1619	Q₈	—	4	1	no	—
1620	Q₈	—	4	2	no	—
1621	Q₈	—	4	2	no	—
1622	Q₈	—	8	1	no	—
1623	Q₈	—	8	1	no	—
1624	Q₈	—	8	1	no	—
1625	Q₈	H(5,𝔽₂)×C₇₉	1	2	yes	—
1626	D₄	—	2	2	no	—
1627	D₄	—	2	2	no	—
1628	D₄	—	2	1	no	—
1629	D₄	—	2	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	2	1	no	—
1636	D₄	—	2	1	no	—
1637	D₄	—	2	1	no	—
1638	D₄	—	4	1	no	—
1639	D₄	—	4	2	no	—
1640	D₄	—	4	2	no	—
1641	D₄	—	4	2	no	—
1642	D₄	—	4	2	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	8	1	no	—
1654	D₄	—	8	1	no	—
1655	D₄	—	8	1	no	—
1656	D₄	—	8	1	no	—
1657	C₂×C₄	—	2	2	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	4	1	no	—
1676	C₂×C₄	—	4	2	no	—
1677	C₂×C₄	—	4	2	no	—
1678	C₂×C₄	—	4	2	no	—
1679	C₂×C₄	—	8	1	no	—
1680	C₂×C₄	—	8	1	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	8	1	no	—
1683	C₂×C₄	—	8	1	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	—	8	1	no	—
1690	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1691	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1692	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1693	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1694	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1695	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1696	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1697	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1698	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1699	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1700	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1701	C₂×C₄	C₂⁵×C₇₉	1	1	yes	characteristic
1702	C₈	—	2	1	no	—
1703	C₈	—	2	1	no	—
1704	C₈	—	2	1	no	—
1705	C₈	—	2	1	no	—
1706	C₈	—	2	1	no	—
1707	C₈	—	2	1	no	—
1708	C₈	—	2	1	no	—
1709	C₈	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	1	no	—
1717	C₂²	—	2	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	4	1	no	—
1722	C₂²	—	4	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	16	2	no	—
1734	C₂²	—	16	2	no	—
1735	C₂²	—	16	2	no	—
1736	C₂²	#577×C₇₉	1	2	yes	—
1737	C₂²	C₂³×D₄×C₇₉	1	1	yes	characteristic
1738	C₄	—	2	1	no	—
1739	C₄	—	2	1	no	—
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	1	no	—
1746	C₄	—	2	1	no	—
1747	C₄	—	2	1	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	2	2	no	—
1750	C₄	—	4	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	4	1	no	—
1757	C₄	—	4	1	no	—
1758	C₄	—	4	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	C₂×H(5,𝔽₂)×C₇₉	1	1	yes	characteristic
1761	C₄	#585×C₇₉	1	1	yes	characteristic
1762	C₂	—	2	2	no	—
1763	C₂	—	4	1	no	—
1764	C₂	—	4	1	no	—
1765	C₂	—	8	1	no	—
1766	C₂	—	8	1	no	—
1767	C₂	—	8	1	no	—
1768	C₂	—	8	1	no	—
1769	C₂	—	8	1	no	—
1770	C₂	C₇₉×#3488	1	1	yes	characteristic
1771	C₂	C₂×#577×C₇₉	1	1	yes	characteristic
1772	C₂	C₇₉×#3584	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×#3558	C₂	semidirect
2. C₇₉×#3516	C₂	semidirect
3. C₇₉×#3401	C₂	semidirect
4. C₇₉×#3394	C₂	semidirect
5. C₇₉×#3371	C₂	semidirect
6. C₇₉×#3365	C₂	semidirect
7. C₇₉×#3323	C₂	semidirect
8. C₇₉×#3318	C₂	semidirect
9. C₇₉×#3316	C₂	semidirect
10. C₇₉×#3301	C₂	semidirect
11. C₇₉×#3296	C₂	semidirect
12. C₇₉×#3295	C₂	semidirect
13. C₇₉×#3285	C₂	semidirect
14. C₇₉×#3282	C₂	semidirect
15. D₄×SD₁₆×C₇₉	C₂	semidirect
16. C₇₉×#3275	C₂	semidirect
17. C₇₉×#3270	C₂	semidirect
18. C₇₉×#3265	C₂	semidirect
19. C₇₉×#3263	C₂	semidirect
20. C₇₉×#3258	C₂	semidirect
21. C₇₉×#3247	C₂	semidirect
22. C₇₉×#3224	C₂	semidirect
23. C₇₉×#3222	C₂	semidirect
24. C₇₉×#3211	C₂	semidirect
25. C₇₉×#3125	C₂	semidirect
26. C₇₉×#3121	C₂	semidirect
27. C₇₉×#3103	C₂	semidirect
28. C₇₉×#3045	C₂	semidirect
29. C₇₉×#3043	C₂	semidirect
30. C₂×#464×C₇₉	C₂	semidirect
31. C₇₉×#2994	C₂	semidirect
32. C₂×#137×C₇₉	C₂²	semidirect
33. C₂×AGL(1,ℤ/8)×C₇₉	C₂²	semidirect
34. C₂×#135×C₇₉	C₂²	semidirect
35. C₂²×Q₁₆×C₇₉	C₂²	semidirect
37. C₂²×SD₁₆×C₇₉	C₂²	semidirect
42. #557×C₇₉	C₂²	semidirect
44. #556×C₇₉	C₂²	semidirect
46. #554×C₇₉	C₂²	semidirect
48. #553×C₇₉	C₂²	semidirect
50. #552×C₇₉	C₂²	semidirect
51. D₄×Q₈×C₇₉	C₂²	semidirect
54. #548×C₇₉	C₂²	semidirect
55. #548×C₇₉	C₂²	semidirect
65. #542×C₇₉	C₂²	semidirect
67. #541×C₇₉	C₂²	semidirect
78. #529×C₇₉	C₂²	semidirect
80. #520×C₇₉	C₂²	semidirect
81. #519×C₇₉	C₂²	semidirect
82. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
83. #497×C₇₉	C₂²	semidirect
85. #495×C₇₉	C₂²	semidirect
86. #495×C₇₉	C₂²	semidirect
87. #495×C₇₉	C₂²	semidirect
90. #489×C₇₉	C₂²	semidirect
91. #488×C₇₉	C₂²	semidirect
92. #488×C₇₉	C₂²	semidirect
93. #488×C₇₉	C₂²	semidirect
95. #485×C₇₉	C₂²	semidirect
96. #483×C₇₉	C₂²	semidirect
99. #481×C₇₉	C₂²	semidirect
100. #481×C₇₉	C₂²	semidirect
101. #479×C₇₉	C₂²	semidirect
102. #478×C₇₉	C₂²	semidirect
103. #478×C₇₉	C₂²	semidirect
104. #478×C₇₉	C₂²	semidirect
105. #477×C₇₉	C₂²	semidirect
106. #476×C₇₉	C₂²	semidirect
107. #476×C₇₉	C₂²	semidirect
108. #475×C₇₉	C₂²	semidirect
109. #475×C₇₉	C₂²	semidirect
110. #475×C₇₉	C₂²	semidirect
111. #470×C₇₉	C₂²	semidirect
112. #470×C₇₉	C₂²	semidirect
115. #467×C₇₉	C₂²	semidirect
116. #466×C₇₉	C₂²	semidirect
117. #466×C₇₉	C₂²	semidirect
120. #465×C₇₉	C₂²	semidirect
121. #465×C₇₉	C₂²	semidirect
122. #465×C₇₉	C₂²	semidirect
123. #464×C₇₉	C₂²	semidirect
124. #464×C₇₉	C₂²	semidirect
125. #464×C₇₉	C₂²	semidirect
126. #464×C₇₉	C₂²	semidirect
127. #464×C₇₉	C₂²	semidirect
128. #464×C₇₉	C₂²	semidirect
129. #464×C₇₉	C₂²	semidirect
130. #464×C₇₉	C₂²	semidirect
131. #464×C₇₉	C₂²	semidirect
132. #464×C₇₉	C₂²	semidirect
133. #464×C₇₉	C₂²	semidirect
134. #464×C₇₉	C₂²	semidirect
135. #464×C₇₉	C₂²	semidirect
136. #464×C₇₉	C₂²	semidirect
137. #463×C₇₉	C₂²	semidirect
138. #463×C₇₉	C₂²	semidirect
139. #463×C₇₉	C₂²	semidirect
140. #463×C₇₉	C₂²	semidirect
141. #463×C₇₉	C₂²	semidirect
142. #463×C₇₉	C₂²	semidirect
143. #462×C₇₉	C₂²	semidirect
144. #461×C₇₉	C₂²	semidirect
148. #460×C₇₉	C₂²	semidirect
149. #460×C₇₉	C₂²	semidirect
150. #460×C₇₉	C₂²	semidirect
152. #459×C₇₉	C₂²	semidirect
153. #452×C₇₉	C₂²	semidirect
154. #452×C₇₉	C₂²	semidirect
155. #452×C₇₉	C₂²	semidirect
156. #452×C₇₉	C₂²	semidirect
157. #451×C₇₉	C₂²	semidirect
158. #451×C₇₉	C₂²	semidirect
160. #450×C₇₉	C₂²	semidirect
161. #450×C₇₉	C₂²	semidirect
162. #450×C₇₉	C₂²	semidirect
164. #449×C₇₉	C₂²	semidirect
166. #448×C₇₉	C₂²	semidirect
167. #448×C₇₉	C₂²	semidirect
168. #448×C₇₉	C₂²	semidirect
170. #447×C₇₉	C₂²	semidirect
171. #446×C₇₉	C₂²	semidirect
172. C₈×Q₈×C₇₉	C₂²	semidirect
173. #442×C₇₉	C₂²	semidirect
174. #441×C₇₉	C₂²	semidirect
175. #441×C₇₉	C₂²	semidirect
176. #440×C₇₉	C₂²	semidirect
177. C₄×Q₁₆×C₇₉	C₂²	semidirect
178. C₄×SD₁₆×C₇₉	C₂²	semidirect
179. C₄×SD₁₆×C₇₉	C₂²	semidirect
180. C₄×SD₁₆×C₇₉	C₂²	semidirect
181. C₄×SD₁₆×C₇₉	C₂²	semidirect
182. C₄×SD₁₆×C₇₉	C₂²	semidirect
183. C₄×SD₁₆×C₇₉	C₂²	semidirect
184. C₄×SD₁₆×C₇₉	C₂²	semidirect
185. #436×C₇₉	C₂²	semidirect
186. #435×C₇₉	C₂²	semidirect
187. #435×C₇₉	C₂²	semidirect
188. C₈×D₄×C₇₉	C₂²	semidirect
189. C₈×D₄×C₇₉	C₂²	semidirect
190. C₈×D₄×C₇₉	C₂²	semidirect
191. #433×C₇₉	C₂²	semidirect
192. #433×C₇₉	C₂²	semidirect
193. #431×C₇₉	C₂²	semidirect
194. #424×C₇₉	C₂²	semidirect
195. #424×C₇₉	C₂²	semidirect
196. C₂×C₄⋊C₈×C₇₉	C₂²	semidirect
197. #418×C₇₉	C₂²	semidirect
198. #417×C₇₉	C₂²	semidirect
199. #416×C₇₉	C₂²	semidirect
200. C₂×#103×C₇₉	C₂²	semidirect
202. C₂×#102×C₇₉	C₂²	semidirect
875. #62066	C₇₉	direct (N × H)
887. #3558	C₂×C₇₉	semidirect
888. #3516	C₂×C₇₉	semidirect
889. #3401	C₂×C₇₉	semidirect
890. #3394	C₂×C₇₉	semidirect
891. #3371	C₂×C₇₉	semidirect
892. #3365	C₂×C₇₉	semidirect
893. #3323	C₂×C₇₉	semidirect
894. #3318	C₂×C₇₉	semidirect
895. #3316	C₂×C₇₉	semidirect
896. #3301	C₂×C₇₉	semidirect
897. #3296	C₂×C₇₉	semidirect
898. #3295	C₂×C₇₉	semidirect
899. #3285	C₂×C₇₉	semidirect
900. #3282	C₂×C₇₉	semidirect
901. D₄×SD₁₆	C₂×C₇₉	semidirect
902. #3275	C₂×C₇₉	semidirect
903. #3270	C₂×C₇₉	semidirect
904. #3265	C₂×C₇₉	semidirect
905. #3263	C₂×C₇₉	semidirect
906. #3258	C₂×C₇₉	semidirect
907. #3247	C₂×C₇₉	semidirect
908. #3224	C₂×C₇₉	semidirect
909. #3222	C₂×C₇₉	semidirect
910. #3211	C₂×C₇₉	semidirect
911. #3125	C₂×C₇₉	semidirect
912. #3121	C₂×C₇₉	semidirect
913. #3103	C₂×C₇₉	semidirect
914. #3045	C₂×C₇₉	semidirect
915. #3043	C₂×C₇₉	semidirect
916. C₂×#464	C₂×C₇₉	semidirect
917. #2994	C₂×C₇₉	semidirect
918. C₇₉	#62066	direct (N × H)
919. C₂×#137	C₂²×C₇₉	semidirect
920. C₂×AGL(1,ℤ/8)	C₂²×C₇₉	semidirect
921. C₂×#135	C₂²×C₇₉	semidirect
922. C₂²×Q₁₆	C₂²×C₇₉	semidirect
924. C₂²×SD₁₆	C₂²×C₇₉	semidirect
929. #557	C₂²×C₇₉	semidirect
931. #556	C₂²×C₇₉	semidirect
933. #554	C₂²×C₇₉	semidirect
935. #553	C₂²×C₇₉	semidirect
937. #552	C₂²×C₇₉	semidirect
938. D₄×Q₈	C₂²×C₇₉	semidirect
941. #548	C₂²×C₇₉	semidirect
942. #548	C₂²×C₇₉	semidirect
952. #542	C₂²×C₇₉	semidirect
954. #541	C₂²×C₇₉	semidirect
965. #529	C₂²×C₇₉	semidirect
967. #520	C₂²×C₇₉	semidirect
968. #519	C₂²×C₇₉	semidirect
969. C₂×C₄×Q₈	C₂²×C₇₉	semidirect
970. #497	C₂²×C₇₉	semidirect
972. #495	C₂²×C₇₉	semidirect
973. #495	C₂²×C₇₉	semidirect
974. #495	C₂²×C₇₉	semidirect
977. #489	C₂²×C₇₉	semidirect
978. #488	C₂²×C₇₉	semidirect
979. #488	C₂²×C₇₉	semidirect
980. #488	C₂²×C₇₉	semidirect
982. #485	C₂²×C₇₉	semidirect
983. #483	C₂²×C₇₉	semidirect
986. #481	C₂²×C₇₉	semidirect
987. #481	C₂²×C₇₉	semidirect
988. #479	C₂²×C₇₉	semidirect
989. #478	C₂²×C₇₉	semidirect
990. #478	C₂²×C₇₉	semidirect
991. #478	C₂²×C₇₉	semidirect
992. #477	C₂²×C₇₉	semidirect
993. #476	C₂²×C₇₉	semidirect
994. #476	C₂²×C₇₉	semidirect
995. #475	C₂²×C₇₉	semidirect
996. #475	C₂²×C₇₉	semidirect
997. #475	C₂²×C₇₉	semidirect
998. #470	C₂²×C₇₉	semidirect
999. #470	C₂²×C₇₉	semidirect
1002. #467	C₂²×C₇₉	semidirect
1003. #466	C₂²×C₇₉	semidirect
1004. #466	C₂²×C₇₉	semidirect
1007. #465	C₂²×C₇₉	semidirect
1008. #465	C₂²×C₇₉	semidirect
1009. #465	C₂²×C₇₉	semidirect
1010. #464	C₂²×C₇₉	semidirect
1011. #464	C₂²×C₇₉	semidirect
1012. #464	C₂²×C₇₉	semidirect
1013. #464	C₂²×C₇₉	semidirect
1014. #464	C₂²×C₇₉	semidirect
1015. #464	C₂²×C₇₉	semidirect
1016. #464	C₂²×C₇₉	semidirect
1017. #464	C₂²×C₇₉	semidirect
1018. #464	C₂²×C₇₉	semidirect
1019. #464	C₂²×C₇₉	semidirect
1020. #464	C₂²×C₇₉	semidirect
1021. #464	C₂²×C₇₉	semidirect
1022. #464	C₂²×C₇₉	semidirect
1023. #464	C₂²×C₇₉	semidirect
1024. #463	C₂²×C₇₉	semidirect
1025. #463	C₂²×C₇₉	semidirect
1026. #463	C₂²×C₇₉	semidirect
1027. #463	C₂²×C₇₉	semidirect
1028. #463	C₂²×C₇₉	semidirect
1029. #463	C₂²×C₇₉	semidirect
1030. #462	C₂²×C₇₉	semidirect
1031. #461	C₂²×C₇₉	semidirect
1035. #460	C₂²×C₇₉	semidirect
1036. #460	C₂²×C₇₉	semidirect
1037. #460	C₂²×C₇₉	semidirect
1039. #459	C₂²×C₇₉	semidirect
1040. #452	C₂²×C₇₉	semidirect
1041. #452	C₂²×C₇₉	semidirect
1042. #452	C₂²×C₇₉	semidirect
1043. #452	C₂²×C₇₉	semidirect
1044. #451	C₂²×C₇₉	semidirect
1045. #451	C₂²×C₇₉	semidirect
1047. #450	C₂²×C₇₉	semidirect
1048. #450	C₂²×C₇₉	semidirect
1049. #450	C₂²×C₇₉	semidirect
1051. #449	C₂²×C₇₉	semidirect
1053. #448	C₂²×C₇₉	semidirect
1054. #448	C₂²×C₇₉	semidirect
1055. #448	C₂²×C₇₉	semidirect
1057. #447	C₂²×C₇₉	semidirect
1058. #446	C₂²×C₇₉	semidirect
1059. C₈×Q₈	C₂²×C₇₉	semidirect
1060. #442	C₂²×C₇₉	semidirect
1061. #441	C₂²×C₇₉	semidirect
1062. #441	C₂²×C₇₉	semidirect
1063. #440	C₂²×C₇₉	semidirect
1064. C₄×Q₁₆	C₂²×C₇₉	semidirect
1065. C₄×SD₁₆	C₂²×C₇₉	semidirect
1066. C₄×SD₁₆	C₂²×C₇₉	semidirect
1067. C₄×SD₁₆	C₂²×C₇₉	semidirect
1068. C₄×SD₁₆	C₂²×C₇₉	semidirect
1069. C₄×SD₁₆	C₂²×C₇₉	semidirect
1070. C₄×SD₁₆	C₂²×C₇₉	semidirect
1071. C₄×SD₁₆	C₂²×C₇₉	semidirect
1072. #436	C₂²×C₇₉	semidirect
1073. #435	C₂²×C₇₉	semidirect
1074. #435	C₂²×C₇₉	semidirect
1075. C₈×D₄	C₂²×C₇₉	semidirect
1076. C₈×D₄	C₂²×C₇₉	semidirect
1077. C₈×D₄	C₂²×C₇₉	semidirect
1078. #433	C₂²×C₇₉	semidirect
1079. #433	C₂²×C₇₉	semidirect
1080. #431	C₂²×C₇₉	semidirect
1081. #424	C₂²×C₇₉	semidirect
1082. #424	C₂²×C₇₉	semidirect
1083. C₂×C₄⋊C₈	C₂²×C₇₉	semidirect
1084. #418	C₂²×C₇₉	semidirect
1085. #417	C₂²×C₇₉	semidirect
1086. #416	C₂²×C₇₉	semidirect
1087. C₂×#103	C₂²×C₇₉	semidirect
1089. C₂×#102	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×#3558	2
C₇₉×#3516	2
C₇₉×#3401	2
C₇₉×#3394	2
C₇₉×#3371	2
C₇₉×#3365	2
C₇₉×#3323	2
C₇₉×#3318	2
C₇₉×#3316	2
C₇₉×#3301	2
C₇₉×#3296	2
C₇₉×#3295	2
C₇₉×#3285	2
C₇₉×#3282	2
D₄×SD₁₆×C₇₉	2
C₇₉×#3275	2
C₇₉×#3270	2
C₇₉×#3265	2
C₇₉×#3263	2
C₇₉×#3258	2
C₇₉×#3247	2
C₇₉×#3224	2
C₇₉×#3222	2
C₇₉×#3211	2
C₇₉×#3125	2
C₇₉×#3121	2
C₇₉×#3103	2
C₇₉×#3045	2
C₇₉×#3043	2
C₂×#464×C₇₉	2
C₇₉×#2994	2
#62066	79

Subgroups — C79×#62066 #34173755

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#62066 #34173755