Subgroups — #34501902

Order 20224.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099190	C₂	1	1	yes	maximal, characteristic
2	C₂×#125×D₇₉	C₂	1	1	yes	maximal, characteristic
3	#23771741	C₂	1	1	yes	maximal, characteristic
4	#23771735	C₂	1	1	yes	maximal, characteristic
5	#23770271	C₂	1	1	yes	maximal, characteristic, complemented
6	#23770269	C₂	1	1	yes	maximal, characteristic, complemented
7	#23770268	C₂	1	1	yes	maximal, characteristic, complemented
8	#23770266	C₂	1	1	yes	maximal, characteristic, complemented
9	#23770264	C₂	1	1	yes	maximal, characteristic, complemented
10	#23770263	C₂	1	1	yes	maximal, characteristic, complemented
11	#23770262	C₂	1	1	yes	maximal, characteristic, complemented
12	#23770261	C₂	1	1	yes	maximal, characteristic, complemented
13	#23770188	C₂	1	1	yes	maximal, characteristic, complemented
14	#23770186	C₂	1	1	yes	maximal, characteristic, complemented
15	#23770183	C₂	1	1	yes	maximal, characteristic, complemented
16	#23770181	C₂	1	1	yes	maximal, characteristic, complemented
17	#23770176	C₂	1	1	yes	maximal, characteristic, complemented
18	#23770175	C₂	1	1	yes	maximal, characteristic, complemented
19	#23770174	C₂	1	1	yes	maximal, characteristic, complemented
20	#23769218	C₂	1	1	yes	maximal, characteristic
21	#23769212	C₂	1	1	yes	maximal, characteristic
22	#23768778	C₂	1	1	yes	maximal, characteristic
23	#23768776	C₂	1	1	yes	maximal, characteristic
24	#23767884	C₂	1	1	yes	maximal, characteristic
25	#23767880	C₂	1	1	yes	maximal, characteristic
26	#23767688	C₂	1	1	yes	maximal, characteristic
27	#23767685	C₂	1	1	yes	maximal, characteristic
28	#23767685	C₂	1	1	yes	maximal, characteristic
29	#23767682	C₂	1	1	yes	maximal, characteristic
30	#23765999	C₂	1	1	yes	maximal, characteristic
31	C₇₉×#2713	C₂	1	1	yes	maximal, characteristic, complemented
32	#19099190	—	2	8	no	—
33	C₂×#14579160	C₂²	1	1	yes	characteristic
34	C₂×#14579159	C₂²	1	1	yes	characteristic
35	C₂×#14579159	C₂²	1	1	yes	characteristic
36	C₂×#14579153	C₂²	1	1	yes	characteristic
37	C₂×#14579153	C₂²	1	1	yes	characteristic
38	C₂×#14579152	C₂²	1	1	yes	characteristic
39	C₂×#14579152	C₂²	1	1	yes	characteristic
40	C₂×#14579152	C₂²	1	1	yes	characteristic
41	C₂×#14579151	C₂²	1	1	yes	characteristic
42	C₂×#14579151	C₂²	1	1	yes	characteristic
43	C₂×#14579151	C₂²	1	1	yes	characteristic
44	C₂×#14579151	C₂²	1	1	yes	characteristic
45	C₂×#14579151	C₂²	1	1	yes	characteristic
46	C₂×#14579151	C₂²	1	1	yes	characteristic
47	#125×D₇₉	—	2	8	no	—
48	C₂×#14579139	C₂²	1	1	yes	characteristic
49	C₂×#14579139	C₂²	1	1	yes	characteristic
50	C₂×#14579137	C₂²	1	1	yes	characteristic
51	C₂×#14579137	C₂²	1	1	yes	characteristic
52	C₂×#14579119	C₂²	1	1	yes	characteristic
53	C₂×#14579118	C₂²	1	1	yes	characteristic
54	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
55	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
56	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
57	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
58	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
59	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
60	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
61	#19098505	C₂²	1	1	yes	characteristic
62	#19098505	C₂²	1	1	yes	characteristic
63	#19098505	C₂²	1	1	yes	characteristic
64	#19098504	C₂²	1	1	yes	characteristic
65	#19098504	C₂²	1	1	yes	characteristic
66	#19098504	C₂²	1	1	yes	characteristic
67	#19098504	C₂²	1	1	yes	characteristic
68	#19098504	C₂²	1	1	yes	characteristic
69	#19098504	C₂²	1	1	yes	characteristic
70	#19098504	C₂²	1	1	yes	characteristic
71	#19098503	C₂²	1	1	yes	characteristic
72	#19098503	C₂²	1	1	yes	characteristic
73	#19098503	C₂²	1	1	yes	characteristic
74	#19098502	C₂²	1	1	yes	characteristic
75	#19098502	C₂²	1	1	yes	characteristic
76	#19098502	C₂²	1	1	yes	characteristic
77	#19098501	C₂²	1	1	yes	characteristic
78	#19098501	C₂²	1	1	yes	characteristic
79	#19098497	C₂²	1	1	yes	characteristic
80	#19098497	C₂²	1	1	yes	characteristic
81	#19098497	C₂²	1	1	yes	characteristic
82	#19098497	C₂²	1	1	yes	characteristic
83	#19098497	C₂²	1	1	yes	characteristic
84	#19098496	C₂²	1	1	yes	characteristic
85	#19098496	C₂²	1	1	yes	characteristic
86	#19098496	C₂²	1	1	yes	characteristic
87	#19098496	C₂²	1	1	yes	characteristic
88	#19098496	C₂²	1	1	yes	characteristic
89	#19098495	C₂²	1	1	yes	characteristic
90	#19098495	C₂²	1	1	yes	characteristic
91	#19098494	C₂²	1	1	yes	characteristic
92	#19098494	C₂²	1	1	yes	characteristic
93	#19098494	C₂²	1	1	yes	characteristic
94	#19098493	C₂²	1	1	yes	characteristic
95	#19098493	C₂²	1	1	yes	characteristic
96	#19098493	C₂²	1	1	yes	characteristic
97	#19098484	C₂²	1	1	yes	characteristic
98	#19098484	C₂²	1	1	yes	characteristic
99	#19098483	C₂²	1	1	yes	characteristic
100	#19098483	C₂²	1	1	yes	characteristic
101	#19098482	C₂²	1	1	yes	characteristic
102	#19098482	C₂²	1	1	yes	characteristic
103	#19098470	C₂²	1	1	yes	characteristic
104	#19098470	C₂²	1	1	yes	characteristic
105	#19098467	C₂²	1	1	yes	characteristic
106	#19098467	C₂²	1	1	yes	characteristic
107	#19098467	C₂²	1	1	yes	characteristic
108	#19098467	C₂²	1	1	yes	characteristic
109	#19098462	C₂²	1	1	yes	characteristic
110	#19098461	C₂²	1	1	yes	characteristic
111	#19098461	C₂²	1	1	yes	characteristic
112	#19098460	C₂²	1	1	yes	characteristic
113	#19098460	C₂²	1	1	yes	characteristic
114	#19098460	C₂²	1	1	yes	characteristic
115	#19098459	C₂²	1	1	yes	characteristic
116	#19098459	C₂²	1	1	yes	characteristic
117	#19098458	C₂²	1	1	yes	characteristic
118	#19098458	C₂²	1	1	yes	characteristic
119	#19098458	C₂²	1	1	yes	characteristic
120	#19098450	C₂²	1	1	yes	characteristic
121	#19098450	C₂²	1	1	yes	characteristic
122	#19098450	C₂²	1	1	yes	characteristic
123	#19098449	C₂²	1	1	yes	characteristic
124	#19098449	C₂²	1	1	yes	characteristic
125	#19098449	C₂²	1	1	yes	characteristic
126	#19098448	C₂²	1	1	yes	characteristic
127	#19098448	C₂²	1	1	yes	characteristic
128	#19098448	C₂²	1	1	yes	characteristic
129	#19098448	C₂²	1	1	yes	characteristic
130	#19098447	C₂²	1	1	yes	characteristic
131	#19098447	C₂²	1	1	yes	characteristic
132	#19098447	C₂²	1	1	yes	characteristic
133	#19098447	C₂²	1	1	yes	characteristic
134	#19098446	C₂²	1	1	yes	characteristic
135	#19098446	C₂²	1	1	yes	characteristic
136	#19098446	C₂²	1	1	yes	characteristic
137	#19098446	C₂²	1	1	yes	characteristic
138	#19098446	C₂²	1	1	yes	characteristic
139	#19098445	C₂²	1	1	yes	characteristic
140	#19098445	C₂²	1	1	yes	characteristic
141	#19098445	C₂²	1	1	yes	characteristic
142	#19098445	C₂²	1	1	yes	characteristic
143	#19098445	C₂²	1	1	yes	characteristic
144	#19098444	C₂²	1	1	yes	characteristic
145	#19098444	C₂²	1	1	yes	characteristic
146	#19098444	C₂²	1	1	yes	characteristic
147	#19098444	C₂²	1	1	yes	characteristic
148	#19098437	C₂²	1	1	yes	characteristic
149	#19098437	C₂²	1	1	yes	characteristic
150	#19098437	C₂²	1	1	yes	characteristic
151	#19098437	C₂²	1	1	yes	characteristic
152	#19098434	C₂²	1	1	yes	characteristic
153	#19098434	C₂²	1	1	yes	characteristic
154	#19098434	C₂²	1	1	yes	characteristic
155	#19098434	C₂²	1	1	yes	characteristic
156	#19098429	C₂²	1	1	yes	characteristic
157	#19098428	C₂²	1	1	yes	characteristic
158	#19098427	C₂²	1	1	yes	characteristic
159	#19098427	C₂²	1	1	yes	characteristic
160	#19098425	C₂²	1	1	yes	characteristic
161	#19098425	C₂²	1	1	yes	characteristic
162	#19098425	C₂²	1	1	yes	characteristic
163	#19098425	C₂²	1	1	yes	characteristic
164	#19098425	C₂²	1	1	yes	characteristic
165	#19098425	C₂²	1	1	yes	characteristic
166	#19098425	C₂²	1	1	yes	characteristic
167	#19098425	C₂²	1	1	yes	characteristic
168	#19098425	C₂²	1	1	yes	characteristic
169	#19098425	C₂²	1	1	yes	characteristic
170	#19098422	C₂²	1	1	yes	characteristic
171	#19098420	C₂²	1	1	yes	characteristic
172	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
173	#19098410	C₂²	1	1	yes	characteristic
174	C₂×C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
175	C₂×#125×C₇₉	C₂²	1	1	yes	characteristic
176	#400×C₇₉	C₂²	1	1	yes	characteristic
177	#400×C₇₉	C₂²	1	1	yes	characteristic
178	#398×C₇₉	C₂²	1	1	yes	characteristic
179	#398×C₇₉	C₂²	1	1	yes	characteristic
180	#395×C₇₉	C₂²	1	1	yes	characteristic
181	#395×C₇₉	C₂²	1	1	yes	characteristic
182	#391×C₇₉	C₂²	1	1	yes	characteristic
183	#391×C₇₉	C₂²	1	1	yes	characteristic
184	#389×C₇₉	C₂²	1	1	yes	characteristic
185	#387×C₇₉	C₂²	1	1	yes	characteristic
186	#387×C₇₉	C₂²	1	1	yes	characteristic
187	#387×C₇₉	C₂²	1	1	yes	characteristic
188	#387×C₇₉	C₂²	1	1	yes	characteristic
189	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
198	#14579160	—	2	4	no	—
199	#14579159	—	2	4	no	—
200	#14579159	—	2	4	no	—
201	#14579153	—	2	4	no	—
202	#14579153	—	2	4	no	—
203	#14579152	—	2	4	no	—
204	#14579152	—	2	4	no	—
205	#14579152	—	2	4	no	—
206	#14579151	—	2	4	no	—
207	#14579151	—	2	4	no	—
208	#14579151	—	2	4	no	—
209	#14579151	—	2	4	no	—
210	#14579151	—	2	4	no	—
211	#14579151	—	2	4	no	—
212	#14579139	—	2	4	no	—
213	#14579139	—	2	4	no	—
214	#14579137	—	2	4	no	—
215	#14579137	—	2	4	no	—
216	#14579119	—	2	4	no	—
217	#14579118	—	2	4	no	—
218	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
232	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
264	C₄⋊C₄×D₇₉	—	2	4	no	—
265	C₄⋊C₄×D₇₉	—	2	4	no	—
266	C₄⋊C₄×D₇₉	—	2	4	no	—
267	C₄⋊C₄×D₇₉	—	2	4	no	—
268	C₄⋊C₄×D₇₉	—	2	4	no	—
269	C₄⋊C₄×D₇₉	D₄	1	8	yes	—
270	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
287	C₄²×D₇₉	—	2	4	no	—
288	C₇₉⋊#95	C₂³	1	1	yes	characteristic
289	C₇₉⋊#95	C₂³	1	1	yes	characteristic
290	C₇₉⋊#95	C₂³	1	1	yes	characteristic
291	C₇₉⋊#95	C₂³	1	1	yes	characteristic
292	C₇₉⋊#95	C₂³	1	1	yes	characteristic
293	C₇₉⋊#95	C₂³	1	1	yes	characteristic
294	C₇₉⋊#95	C₂³	1	1	yes	characteristic
295	C₇₉⋊#95	C₂³	1	1	yes	characteristic
296	C₇₉⋊#95	C₂³	1	1	yes	characteristic
297	C₇₉⋊#95	C₂³	1	1	yes	characteristic
298	C₇₉⋊#95	C₂³	1	1	yes	characteristic
299	C₇₉⋊#95	C₂³	1	1	yes	characteristic
300	C₇₉⋊#95	C₂³	1	1	yes	characteristic
301	C₇₉⋊#95	C₂³	1	1	yes	characteristic
302	C₇₉⋊#95	C₂³	1	1	yes	characteristic
303	C₇₉⋊#95	C₂³	1	1	yes	characteristic
304	C₇₉⋊#95	C₂³	1	1	yes	characteristic
305	C₇₉⋊#95	C₂³	1	1	yes	characteristic
306	C₇₉⋊#95	C₂³	1	1	yes	characteristic
307	C₇₉⋊#95	C₂³	1	1	yes	characteristic
308	C₇₉⋊#95	C₂³	1	1	yes	characteristic
309	C₇₉⋊#95	C₂³	1	1	yes	characteristic
310	C₇₉⋊#95	C₂³	1	1	yes	characteristic
311	C₇₉⋊#95	C₂³	1	1	yes	characteristic
312	C₇₉⋊#95	C₂³	1	1	yes	characteristic
313	C₇₉⋊#95	C₂³	1	1	yes	characteristic
314	C₇₉⋊#95	C₂³	1	1	yes	characteristic
315	C₇₉⋊#95	C₂³	1	1	yes	characteristic
316	C₇₉⋊#95	C₂³	1	1	yes	characteristic
317	C₇₉⋊#95	C₂³	1	1	yes	characteristic
318	C₇₉⋊#95	C₂³	1	1	yes	characteristic
319	C₇₉⋊#95	C₂³	1	1	yes	characteristic
320	C₇₉⋊#95	C₂³	1	1	yes	characteristic
321	C₇₉⋊#95	C₂³	1	1	yes	characteristic
322	C₇₉⋊#95	C₂³	1	1	yes	characteristic
323	C₇₉⋊#95	C₂³	1	1	yes	characteristic
324	C₇₉⋊#95	C₂³	1	1	yes	characteristic
325	C₇₉⋊#95	C₂³	1	1	yes	characteristic
326	C₇₉⋊#95	C₂³	1	1	yes	characteristic
327	C₇₉⋊#95	C₂³	1	1	yes	characteristic
328	C₇₉⋊#95	C₂³	1	1	yes	characteristic
329	C₇₉⋊#95	C₂³	1	1	yes	characteristic
330	C₇₉⋊#95	C₂³	1	1	yes	characteristic
331	C₇₉⋊#95	C₂³	1	1	yes	characteristic
332	C₇₉⋊#95	C₂³	1	1	yes	characteristic
333	C₇₉⋊#95	C₂³	1	1	yes	characteristic
334	C₇₉⋊#95	C₂³	1	1	yes	characteristic
335	C₇₉⋊#95	C₂³	1	1	yes	characteristic
336	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
337	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
338	C₄⋊Q₈×C₇₉	—	2	4	no	—
339	#125×C₇₉	—	2	4	no	—
340	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
350	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
351	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
352	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
353	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
357	#95×C₇₉	C₂³	1	1	yes	characteristic
358	#95×C₇₉	C₂³	1	1	yes	characteristic
359	#95×C₇₉	C₂³	1	1	yes	characteristic
360	#95×C₇₉	C₂³	1	1	yes	characteristic
361	#95×C₇₉	C₂³	1	1	yes	characteristic
362	#95×C₇₉	C₂³	1	1	yes	characteristic
363	#95×C₇₉	C₂³	1	1	yes	characteristic
364	#95×C₇₉	C₂³	1	1	yes	characteristic
365	#95×C₇₉	C₂³	1	1	yes	characteristic
366	#95×C₇₉	C₂³	1	1	yes	characteristic
367	#95×C₇₉	C₂³	1	1	yes	characteristic
368	#95×C₇₉	C₂³	1	1	yes	characteristic
369	#95×C₇₉	C₂³	1	1	yes	characteristic
370	#95×C₇₉	C₂³	1	1	yes	characteristic
371	#95×C₇₉	C₂³	1	1	yes	characteristic
372	#95×C₇₉	C₂³	1	1	yes	characteristic
373	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
374	C₂×Dic₁₅₈	—	2	2	no	—
375	C₂×Dic₁₅₈	—	2	2	no	—
376	C₂×Dic₁₅₈	—	4	1	no	—
377	C₂×Dic₁₅₈	—	4	1	no	—
378	C₂×Dic₁₅₈	—	4	1	no	—
379	C₂×Dic₁₅₈	—	4	1	no	—
380	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
395	C₂×C₄×D₇₉	—	2	2	no	—
396	C₂×C₄×D₇₉	—	2	2	no	—
397	C₂×C₄×D₇₉	—	2	2	no	—
398	C₂×C₄×D₇₉	—	2	2	no	—
399	C₂×C₄×D₇₉	—	2	2	no	—
400	C₂×C₄×D₇₉	—	2	2	no	—
401	C₂×C₄×D₇₉	—	2	2	no	—
402	C₂×C₄×D₇₉	—	2	2	no	—
403	C₂×C₄×D₇₉	—	2	2	no	—
404	C₂×C₄×D₇₉	—	2	2	no	—
405	C₂×C₄×D₇₉	—	2	2	no	—
406	C₂×C₄×D₇₉	—	2	2	no	—
407	C₂×C₄×D₇₉	—	4	1	no	—
408	C₂×C₄×D₇₉	—	4	1	no	—
409	C₂×C₄×D₇₉	—	4	1	no	—
410	C₂×C₄×D₇₉	—	4	1	no	—
411	C₂×C₄×D₇₉	—	4	1	no	—
412	C₂×C₄×D₇₉	—	4	1	no	—
413	C₂×C₄×D₇₉	C₂×D₄	1	4	yes	—
414	C₂×C₄×D₇₉	C₂×D₄	1	4	yes	—
415	C₂×C₄×D₇₉	C₂×D₄	1	4	yes	—
416	C₄⋊Dic₇₉	—	2	2	no	—
417	C₄⋊Dic₇₉	—	2	2	no	—
418	C₄⋊Dic₇₉	—	2	2	no	—
419	C₄⋊Dic₇₉	—	2	2	no	—
420	C₄⋊Dic₇₉	—	2	2	no	—
421	C₄⋊Dic₇₉	—	2	2	no	—
422	C₄⋊Dic₇₉	—	2	2	no	—
423	C₄⋊Dic₇₉	—	2	2	no	—
424	C₄⋊Dic₇₉	—	2	2	no	—
425	C₄⋊Dic₇₉	—	2	2	no	—
426	C₄⋊Dic₇₉	—	2	2	no	—
427	C₄⋊Dic₇₉	—	4	1	no	—
428	C₄⋊Dic₇₉	—	4	1	no	—
429	C₄⋊Dic₇₉	C₂×D₄	1	4	yes	—
430	Dic₇₉⋊C₄	—	2	2	no	—
431	Dic₇₉⋊C₄	—	2	2	no	—
432	Dic₇₉⋊C₄	—	2	2	no	—
433	Dic₇₉⋊C₄	—	2	2	no	—
434	Dic₇₉⋊C₄	—	2	2	no	—
435	Dic₇₉⋊C₄	—	2	2	no	—
436	Dic₇₉⋊C₄	—	2	2	no	—
437	Dic₇₉⋊C₄	—	2	2	no	—
438	Dic₇₉⋊C₄	—	2	2	no	—
439	Dic₇₉⋊C₄	—	2	2	no	—
440	Dic₇₉⋊C₄	—	2	2	no	—
441	Dic₇₉⋊C₄	—	2	2	no	—
442	Dic₇₉⋊C₄	—	2	2	no	—
443	Dic₇₉⋊C₄	—	2	2	no	—
444	Dic₇₉⋊C₄	—	2	2	no	—
445	Dic₇₉⋊C₄	—	2	2	no	—
446	Dic₇₉⋊C₄	—	2	2	no	—
447	Dic₇₉⋊C₄	—	2	2	no	—
448	Dic₇₉⋊C₄	—	2	2	no	—
449	Dic₇₉⋊C₄	—	2	2	no	—
450	Dic₇₉⋊C₄	—	2	2	no	—
451	Dic₇₉⋊C₄	—	2	2	no	—
452	Dic₇₉⋊C₄	—	2	2	no	—
453	Dic₇₉⋊C₄	—	2	2	no	—
454	Dic₇₉⋊C₄	—	4	1	no	—
455	Dic₇₉⋊C₄	—	4	1	no	—
456	Dic₇₉⋊C₄	—	4	1	no	—
457	Dic₇₉⋊C₄	—	4	1	no	—
458	Dic₇₉⋊C₄	—	4	1	no	—
459	Dic₇₉⋊C₄	—	4	1	no	—
460	Dic₇₉⋊C₄	C₂×D₄	1	4	yes	—
461	Dic₇₉⋊C₄	C₂×D₄	1	4	yes	—
462	(C₂×D₇₉)⋊C₄	—	2	2	no	—
463	(C₂×D₇₉)⋊C₄	—	2	2	no	—
464	(C₂×D₇₉)⋊C₄	—	2	2	no	—
465	(C₂×D₇₉)⋊C₄	—	2	2	no	—
466	(C₂×D₇₉)⋊C₄	—	2	2	no	—
467	(C₂×D₇₉)⋊C₄	—	2	2	no	—
468	(C₂×D₇₉)⋊C₄	—	2	2	no	—
469	(C₂×D₇₉)⋊C₄	—	2	2	no	—
470	C₄×Dic₇₉	—	2	2	no	—
471	C₄×Dic₇₉	—	2	2	no	—
472	C₄×Dic₇₉	—	2	2	no	—
473	C₄×Dic₇₉	—	2	2	no	—
474	C₄×Dic₇₉	—	2	2	no	—
475	C₄×Dic₇₉	—	2	2	no	—
476	C₄×Dic₇₉	—	4	1	no	—
477	C₄×Dic₇₉	—	4	1	no	—
478	C₄×Dic₇₉	—	4	1	no	—
479	C₂×Q₈×C₇₉	—	2	2	no	—
480	C₂×Q₈×C₇₉	—	2	2	no	—
481	C₂×Q₈×C₇₉	—	4	1	no	—
482	C₂×Q₈×C₇₉	—	4	1	no	—
483	C₂×Q₈×C₇₉	—	4	1	no	—
484	C₂×Q₈×C₇₉	—	4	1	no	—
485	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
500	C₄⋊C₄×C₇₉	—	2	2	no	—
501	C₄⋊C₄×C₇₉	—	2	2	no	—
502	C₄⋊C₄×C₇₉	—	2	2	no	—
503	C₄⋊C₄×C₇₉	—	2	2	no	—
504	C₄⋊C₄×C₇₉	—	2	2	no	—
505	C₄⋊C₄×C₇₉	—	2	2	no	—
506	C₄⋊C₄×C₇₉	—	2	2	no	—
507	C₄⋊C₄×C₇₉	—	2	2	no	—
508	C₄⋊C₄×C₇₉	—	2	2	no	—
509	C₄⋊C₄×C₇₉	—	4	1	no	—
510	C₄⋊C₄×C₇₉	—	4	1	no	—
511	C₄⋊C₄×C₇₉	—	4	1	no	—
512	C₄⋊C₄×C₇₉	—	4	1	no	—
513	C₄⋊C₄×C₇₉	C₂×D₄	1	4	yes	—
514	C₄²×C₇₉	—	2	2	no	—
515	C₄²×C₇₉	—	2	2	no	—
516	C₄²×C₇₉	—	4	1	no	—
517	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
518	C₂²×D₇₉	—	2	1	no	—
519	C₂²×D₇₉	—	2	1	no	—
520	C₂²×D₇₉	—	2	1	no	—
521	C₂²×D₇₉	—	2	1	no	—
522	C₂²×D₇₉	C₂²×D₄	1	2	yes	—
523	C₂²×D₇₉	2₋¹⁺⁴	1	2	yes	—
524	C₂²×D₇₉	2₋¹⁺⁴	1	2	yes	—
525	Q₈×C₇₉	—	8	2	no	—
526	Q₈×C₇₉	—	8	2	no	—
527	C₂×C₄×C₇₉	—	2	1	no	—
528	C₂×C₄×C₇₉	—	2	1	no	—
529	C₂×C₄×C₇₉	—	2	1	no	—
530	C₂×C₄×C₇₉	—	2	1	no	—
531	C₂×C₄×C₇₉	—	2	1	no	—
532	C₂×C₄×C₇₉	—	2	1	no	—
533	C₂×C₄×C₇₉	—	2	1	no	—
534	C₂×C₄×C₇₉	—	2	1	no	—
535	C₂×C₄×C₇₉	—	2	1	no	—
536	C₂×C₄×C₇₉	—	2	1	no	—
537	C₂×C₄×C₇₉	—	2	1	no	—
538	C₂×C₄×C₇₉	—	2	1	no	—
539	C₂×C₄×C₇₉	—	2	1	no	—
540	C₂×C₄×C₇₉	—	2	1	no	—
541	C₂×C₄×C₇₉	—	2	1	no	—
542	C₂×C₄×C₇₉	—	2	1	no	—
543	C₂×C₄×C₇₉	—	2	1	no	—
544	C₂×C₄×C₇₉	—	2	1	no	—
545	C₂×C₄×C₇₉	—	2	1	no	—
546	C₂×C₄×C₇₉	—	2	1	no	—
547	C₂×C₄×C₇₉	—	2	1	no	—
548	C₂×C₄×C₇₉	—	2	1	no	—
549	C₂×C₄×C₇₉	—	2	1	no	—
550	C₂×C₄×C₇₉	—	2	1	no	—
551	C₂×C₄×C₇₉	—	2	1	no	—
552	C₂×C₄×C₇₉	—	2	1	no	—
553	C₂×C₄×C₇₉	—	2	1	no	—
554	C₂×C₄×C₇₉	—	2	1	no	—
555	C₂×C₄×C₇₉	—	2	1	no	—
556	C₂×C₄×C₇₉	—	2	1	no	—
557	C₂×C₄×C₇₉	—	2	1	no	—
558	C₂×C₄×C₇₉	—	2	1	no	—
559	C₂×C₄×C₇₉	—	2	1	no	—
560	C₂×C₄×C₇₉	—	2	1	no	—
561	C₂×C₄×C₇₉	—	2	1	no	—
562	C₂×C₄×C₇₉	—	2	1	no	—
563	C₂×C₄×C₇₉	—	2	1	no	—
564	C₂×C₄×C₇₉	—	2	1	no	—
565	C₂×C₄×C₇₉	—	2	1	no	—
566	C₂×C₄×C₇₉	—	2	1	no	—
567	C₂×C₄×C₇₉	—	2	1	no	—
568	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
569	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
570	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
571	C₂×C₄×C₇₉	2₋¹⁺⁴	1	2	yes	—
572	C₂×Dic₇₉	—	2	1	no	—
573	C₂×Dic₇₉	—	2	1	no	—
574	C₂×Dic₇₉	—	2	1	no	—
575	C₂×Dic₇₉	—	2	1	no	—
576	C₂×Dic₇₉	—	2	1	no	—
577	C₂×Dic₇₉	—	2	1	no	—
578	C₂×Dic₇₉	—	2	1	no	—
579	C₂×Dic₇₉	—	2	1	no	—
580	C₂×Dic₇₉	—	2	1	no	—
581	C₂×Dic₇₉	—	2	1	no	—
582	C₂×Dic₇₉	—	2	1	no	—
583	C₂×Dic₇₉	—	2	1	no	—
584	C₂×Dic₇₉	—	2	1	no	—
585	C₂×Dic₇₉	—	2	1	no	—
586	C₂×Dic₇₉	—	2	1	no	—
587	C₂×Dic₇₉	—	2	1	no	—
588	C₂×Dic₇₉	—	2	1	no	—
589	C₂×Dic₇₉	—	2	1	no	—
590	C₂×Dic₇₉	—	2	1	no	—
591	C₂×Dic₇₉	—	2	1	no	—
592	C₂×Dic₇₉	—	2	1	no	—
593	C₂×Dic₇₉	—	2	1	no	—
594	C₂×Dic₇₉	—	2	1	no	—
595	C₂×Dic₇₉	—	2	1	no	—
596	C₂×Dic₇₉	—	2	1	no	—
597	C₂×Dic₇₉	—	2	1	no	—
598	C₂×Dic₇₉	—	2	1	no	—
599	C₂×Dic₇₉	—	2	1	no	—
600	C₂×Dic₇₉	—	2	1	no	—
601	C₂×Dic₇₉	—	2	1	no	—
602	C₂×Dic₇₉	—	2	1	no	—
603	C₂×Dic₇₉	—	2	1	no	—
604	C₂×Dic₇₉	—	2	1	no	—
605	C₂×Dic₇₉	—	2	1	no	—
606	C₂×Dic₇₉	—	2	1	no	—
607	C₂×Dic₇₉	—	2	1	no	—
608	C₂×Dic₇₉	—	2	1	no	—
609	C₂×Dic₇₉	—	2	1	no	—
610	C₂×Dic₇₉	—	2	1	no	—
611	C₂×Dic₇₉	—	2	1	no	—
612	C₂×Dic₇₉	—	2	1	no	—
613	C₂×Dic₇₉	C₂²×D₄	1	2	yes	—
614	C₂×Dic₇₉	C₂²×D₄	1	2	yes	—
615	C₂×Dic₇₉	C₂²×D₄	1	2	yes	—
616	C₂×Dic₇₉	2₋¹⁺⁴	1	2	yes	—
617	C₄×D₇₉	—	2	8	no	—
618	C₄×D₇₉	—	2	8	no	—
619	C₄×D₇₉	—	4	4	no	—
620	C₄×D₇₉	—	4	4	no	—
621	C₄×D₇₉	—	4	4	no	—
622	C₄×D₇₉	—	4	4	no	—
623	C₄×D₇₉	—	4	4	no	—
624	Dic₁₅₈	—	8	2	no	—
625	Dic₁₅₈	—	8	2	no	—
626	C₂²×C₇₉	C₂³×D₄	1	1	yes	characteristic
627	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
628	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
629	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
630	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
631	C₂²×C₇₉	#585	1	1	yes	characteristic
632	C₂²×C₇₉	#585	1	1	yes	characteristic
633	C₂×D₇₉	—	2	2	no	—
634	C₂×D₇₉	—	2	2	no	—
635	C₂×D₇₉	—	2	2	no	—
636	C₂×D₇₉	—	2	2	no	—
637	C₂×D₇₉	—	2	2	no	—
638	C₂×D₇₉	—	2	2	no	—
639	C₂×D₇₉	#536	1	4	yes	—
640	C₄×C₇₉	—	2	2	no	—
641	C₄×C₇₉	—	2	2	no	—
642	C₄×C₇₉	—	2	2	no	—
643	C₄×C₇₉	—	2	2	no	—
644	C₄×C₇₉	—	4	1	no	—
645	C₄×C₇₉	—	4	1	no	—
646	C₄×C₇₉	—	4	1	no	—
647	C₄×C₇₉	—	4	1	no	—
648	C₄×C₇₉	—	4	1	no	—
649	C₄×C₇₉	—	4	1	no	—
650	C₄×C₇₉	—	4	1	no	—
651	C₄×C₇₉	—	4	1	no	—
652	C₄×C₇₉	—	4	1	no	—
653	C₄×C₇₉	—	4	1	no	—
654	C₄×C₇₉	—	4	1	no	—
655	Dic₇₉	—	2	2	no	—
656	Dic₇₉	—	2	2	no	—
657	Dic₇₉	—	2	2	no	—
658	Dic₇₉	—	2	2	no	—
659	Dic₇₉	—	4	1	no	—
660	Dic₇₉	—	4	1	no	—
661	Dic₇₉	—	4	1	no	—
662	Dic₇₉	—	4	1	no	—
663	Dic₇₉	—	4	1	no	—
664	Dic₇₉	—	4	1	no	—
665	Dic₇₉	—	4	1	no	—
666	Dic₇₉	—	4	1	no	—
667	Dic₇₉	—	4	1	no	—
668	Dic₇₉	—	4	1	no	—
669	Dic₇₉	—	4	1	no	—
670	#36959	—	79	1	no	maximal, Sylow
671	C₂×C₇₉	C₂×#536	1	1	yes	characteristic
672	C₂×C₇₉	#3485	1	1	yes	characteristic
673	C₂×C₇₉	#3486	1	1	yes	characteristic
674	C₂×C₇₉	#3563	1	1	yes	characteristic
675	C₂×C₇₉	#3563	1	1	yes	characteristic
676	C₂×C₇₉	#3563	1	1	yes	characteristic
677	C₂×C₇₉	#3563	1	1	yes	characteristic
678	D₇₉	—	2	4	no	—
679	C₂×#544	—	79	1	no	—
680	C₂²×#125	—	79	1	no	—
681	#2855	—	79	1	no	—
682	#2855	—	79	1	no	—
683	#2719	—	79	1	no	—
684	#2719	—	79	1	no	—
685	#2719	—	79	1	no	—
686	#2719	—	79	1	no	—
687	#2719	—	79	1	no	—
688	#2719	—	79	1	no	—
689	#2719	—	79	1	no	—
690	#2719	—	79	1	no	—
691	#2713	—	79	1	no	—
692	#2713	—	79	1	no	—
693	#2713	—	79	1	no	—
694	#2713	—	79	1	no	—
695	#2713	—	79	1	no	—
696	#2713	—	79	1	no	—
697	#2713	—	79	1	no	—
698	#2713	D₇₉	1	1	yes	characteristic, complemented
699	#2627	—	79	1	no	—
700	#2627	—	79	1	no	—
701	#2583	—	79	1	no	—
702	#2583	—	79	1	no	—
703	#2503	—	79	1	no	—
704	#2503	—	79	1	no	—
705	#2484	—	79	1	no	—
706	#2484	—	79	1	no	—
707	#2484	—	79	1	no	—
708	#2484	—	79	1	no	—
709	#2313	—	79	1	no	—
710	C₇₉	#36959	1	1	yes	characteristic, complemented, Sylow
711	#544	—	158	8	no	—
712	C₂×C₄⋊Q₈	—	79	1	no	—
713	C₂×C₄⋊Q₈	—	79	1	no	—
714	C₂×C₄⋊Q₈	—	79	1	no	—
715	C₂×C₄⋊Q₈	C₂×D₇₉	1	1	yes	characteristic
716	C₂×#125	—	79	1	no	—
717	C₂×#125	—	79	1	no	—
718	C₂×#125	—	79	1	no	—
719	C₂×#125	—	79	1	no	—
720	C₂×#125	—	79	1	no	—
721	C₂×#125	—	79	1	no	—
722	C₂×#125	—	79	1	no	—
723	C₂×#125	—	79	1	no	—
724	C₂×#125	—	79	1	no	—
725	C₂×#125	—	79	1	no	—
726	C₂×#125	—	79	1	no	—
727	C₂×#125	—	158	8	no	—
728	C₂×#125	C₂×D₇₉	1	1	yes	characteristic
729	C₂×C₂²⋊Q₈	—	79	1	no	—
730	C₂×C₂²⋊Q₈	—	79	1	no	—
731	C₂×C₂²⋊Q₈	—	79	1	no	—
732	C₂×C₂²⋊Q₈	—	79	1	no	—
733	C₂×#117	—	79	1	no	—
734	C₂×#117	—	79	1	no	—
735	C₂²×C₄⋊C₄	—	79	1	no	—
736	C₂²×C₄⋊C₄	—	79	1	no	—
737	C₂²×C₄⋊C₄	—	79	1	no	—
738	C₂²×C₄⋊C₄	—	79	1	no	—
739	C₂²×C₄⋊C₄	—	79	1	no	—
740	C₂²×C₄⋊C₄	—	79	1	no	—
741	C₂²×C₄²	—	79	1	no	—
742	#400	—	79	1	no	—
743	#400	—	79	1	no	—
744	#400	—	79	1	no	—
745	#400	—	79	1	no	—
746	#400	—	79	1	no	—
747	#400	—	79	1	no	—
748	#400	—	79	1	no	—
749	#400	—	79	1	no	—
750	#400	—	79	1	no	—
751	#400	—	79	1	no	—
752	#400	—	79	1	no	—
753	#400	—	79	1	no	—
754	#400	—	79	1	no	—
755	#400	—	79	1	no	—
756	#400	—	79	1	no	—
757	#400	—	79	1	no	—
758	#400	—	79	1	no	—
759	#400	—	79	1	no	—
760	#400	C₂×D₇₉	1	1	yes	characteristic
761	#400	C₂×D₇₉	1	1	yes	characteristic
762	#398	—	79	1	no	—
763	#398	—	79	1	no	—
764	#398	—	79	1	no	—
765	#398	—	79	1	no	—
766	#398	—	79	1	no	—
767	#398	—	79	1	no	—
768	#398	—	79	1	no	—
769	#398	—	79	1	no	—
770	#398	—	79	1	no	—
771	#398	—	79	1	no	—
772	#398	—	79	1	no	—
773	#398	—	79	1	no	—
774	#398	—	79	1	no	—
775	#398	—	79	1	no	—
776	#398	—	79	1	no	—
777	#398	—	79	1	no	—
778	#398	—	79	1	no	—
779	#398	—	79	1	no	—
780	#398	C₂×D₇₉	1	1	yes	characteristic
781	#398	C₂×D₇₉	1	1	yes	characteristic
782	#395	—	79	1	no	—
783	#395	—	79	1	no	—
784	#395	—	79	1	no	—
785	#395	—	79	1	no	—
786	#395	—	79	1	no	—
787	#395	—	79	1	no	—
788	#395	C₂×D₇₉	1	1	yes	characteristic
789	#395	C₂×D₇₉	1	1	yes	characteristic
790	#391	—	79	1	no	—
791	#391	—	79	1	no	—
792	#391	—	79	1	no	—
793	#391	—	79	1	no	—
794	#391	—	79	1	no	—
795	#391	—	79	1	no	—
796	#391	C₂×D₇₉	1	1	yes	characteristic
797	#391	C₂×D₇₉	1	1	yes	characteristic
798	#389	—	79	1	no	—
799	#389	—	79	1	no	—
800	#389	—	79	1	no	—
801	#389	—	79	1	no	—
802	#389	—	79	1	no	—
803	#389	—	79	1	no	—
804	#389	—	79	1	no	—
805	#389	—	79	1	no	—
806	#389	—	79	1	no	—
807	#389	—	79	1	no	—
808	#389	—	79	1	no	—
809	#389	C₂×D₇₉	1	1	yes	characteristic
810	#387	—	79	1	no	—
811	#387	—	79	1	no	—
812	#387	—	79	1	no	—
813	#387	—	79	1	no	—
814	#387	—	79	1	no	—
815	#387	—	79	1	no	—
816	#387	—	79	1	no	—
817	#387	—	79	1	no	—
818	#387	—	79	1	no	—
819	#387	—	79	1	no	—
820	#387	—	79	1	no	—
821	#387	—	79	1	no	—
822	#387	—	79	1	no	—
823	#387	—	79	1	no	—
824	#387	—	79	1	no	—
825	#387	—	79	1	no	—
826	#387	—	79	1	no	—
827	#387	—	79	1	no	—
828	#387	—	79	1	no	—
829	#387	—	79	1	no	—
830	#387	—	79	1	no	—
831	#387	—	79	1	no	—
832	#387	—	79	1	no	—
833	#387	—	79	1	no	—
834	#387	—	79	1	no	—
835	#387	—	79	1	no	—
836	#387	—	79	1	no	—
837	#387	—	79	1	no	—
838	#387	C₂×D₇₉	1	1	yes	characteristic
839	#387	C₂×D₇₉	1	1	yes	characteristic
840	#387	C₂×D₇₉	1	1	yes	characteristic
841	#387	C₂×D₇₉	1	1	yes	characteristic
842	#385	—	79	1	no	—
843	#385	—	79	1	no	—
844	#385	—	79	1	no	—
845	#385	—	79	1	no	—
846	#385	—	79	1	no	—
847	#385	—	79	1	no	—
848	#385	—	79	1	no	—
849	#385	—	79	1	no	—
850	#382	—	79	1	no	—
851	#382	—	79	1	no	—
852	#382	—	79	1	no	—
853	#382	—	79	1	no	—
854	#381	—	79	1	no	—
855	#381	—	79	1	no	—
856	#381	—	79	1	no	—
857	#381	—	79	1	no	—
858	#381	—	79	1	no	—
859	#381	—	79	1	no	—
860	#381	—	79	1	no	—
861	#381	—	79	1	no	—
862	#381	—	79	1	no	—
863	#381	—	79	1	no	—
864	#380	—	79	1	no	—
865	#380	—	79	1	no	—
866	C₄×C₂²⋊C₄	—	79	1	no	—
867	C₄×C₂²⋊C₄	—	79	1	no	—
868	C₂²×Q₈	—	79	1	no	—
869	C₂²×Q₈	—	79	1	no	—
870	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
871	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
872	C₂³×C₄	—	79	1	no	—
873	C₂³×C₄	—	79	1	no	—
874	C₂³×C₄	—	79	1	no	—
875	C₂³×C₄	—	79	1	no	—
876	C₂³×C₄	—	79	1	no	—
877	C₂³×C₄	—	79	1	no	—
878	C₂³×C₄	—	79	1	no	—
879	C₄⋊Q₈	—	2	4	no	—
880	C₄⋊Q₈	—	158	4	no	—
881	C₄⋊Q₈	—	158	4	no	—
882	C₄⋊Q₈	—	158	4	no	—
883	#125	—	2	4	no	—
884	#125	—	158	4	no	—
885	#125	—	158	4	no	—
886	#125	—	158	4	no	—
887	#125	—	158	4	no	—
888	#125	—	158	4	no	—
889	#125	—	158	4	no	—
890	#125	—	158	4	no	—
891	#125	—	158	4	no	—
892	#125	—	158	4	no	—
893	#125	—	158	4	no	—
894	#125	—	158	4	no	—
895	C₂²⋊Q₈	—	158	4	no	—
896	C₂²⋊Q₈	—	158	4	no	—
897	C₂²⋊Q₈	—	158	4	no	—
898	C₂²⋊Q₈	—	158	4	no	—
899	#117	—	158	4	no	—
900	#117	—	158	4	no	—
901	C₂×C₄⋊C₄	—	79	1	no	—
902	C₂×C₄⋊C₄	—	79	1	no	—
903	C₂×C₄⋊C₄	—	79	1	no	—
904	C₂×C₄⋊C₄	—	79	1	no	—
905	C₂×C₄⋊C₄	—	79	1	no	—
906	C₂×C₄⋊C₄	—	79	1	no	—
907	C₂×C₄⋊C₄	—	79	1	no	—
908	C₂×C₄⋊C₄	—	79	1	no	—
909	C₂×C₄⋊C₄	—	79	1	no	—
910	C₂×C₄⋊C₄	—	79	1	no	—
911	C₂×C₄⋊C₄	—	79	1	no	—
912	C₂×C₄⋊C₄	—	79	8	no	—
913	C₂×C₄⋊C₄	—	79	1	no	—
914	C₂×C₄⋊C₄	—	79	1	no	—
915	C₂×C₄⋊C₄	—	79	1	no	—
916	C₂×C₄⋊C₄	—	79	1	no	—
917	C₂×C₄⋊C₄	—	79	1	no	—
918	C₂×C₄⋊C₄	—	79	1	no	—
919	C₂×C₄⋊C₄	—	79	1	no	—
920	C₂×C₄⋊C₄	—	79	1	no	—
921	C₂×C₄⋊C₄	—	79	1	no	—
922	C₂×C₄⋊C₄	—	79	1	no	—
923	C₂×C₄⋊C₄	—	79	1	no	—
924	C₂×C₄⋊C₄	—	79	1	no	—
925	C₂×C₄⋊C₄	—	79	1	no	—
926	C₂×C₄⋊C₄	—	79	1	no	—
927	C₂×C₄⋊C₄	—	79	1	no	—
928	C₂×C₄⋊C₄	—	79	1	no	—
929	C₂×C₄⋊C₄	—	79	1	no	—
930	C₂×C₄⋊C₄	—	79	1	no	—
931	C₂×C₄⋊C₄	—	79	1	no	—
932	C₂×C₄⋊C₄	—	79	1	no	—
933	C₂×C₄⋊C₄	—	79	1	no	—
934	C₂×C₄⋊C₄	—	79	1	no	—
935	C₂×C₄⋊C₄	—	79	1	no	—
936	C₂×C₄⋊C₄	—	79	1	no	—
937	C₂×C₄⋊C₄	—	79	1	no	—
938	C₂×C₄⋊C₄	—	79	1	no	—
939	C₂×C₄⋊C₄	—	79	1	no	—
940	C₂×C₄⋊C₄	—	79	1	no	—
941	C₂×C₄⋊C₄	—	79	1	no	—
942	C₂×C₄⋊C₄	—	79	1	no	—
943	C₂×C₄⋊C₄	—	79	1	no	—
944	C₂×C₄⋊C₄	—	79	1	no	—
945	C₂×C₄⋊C₄	—	79	1	no	—
946	C₂×C₄⋊C₄	—	79	1	no	—
947	C₂×C₄⋊C₄	—	79	1	no	—
948	C₂×C₄⋊C₄	—	158	4	no	—
949	C₂×C₄⋊C₄	—	158	4	no	—
950	C₂×C₄⋊C₄	—	158	4	no	—
951	C₂×C₄⋊C₄	—	158	4	no	—
952	C₂×C₄⋊C₄	—	158	4	no	—
953	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
967	C₂×C₂²⋊C₄	—	79	1	no	—
968	C₂×C₂²⋊C₄	—	79	1	no	—
969	C₂×C₂²⋊C₄	—	79	1	no	—
970	C₂×C₂²⋊C₄	—	79	1	no	—
971	C₂×C₂²⋊C₄	—	79	1	no	—
972	C₂×C₂²⋊C₄	—	79	1	no	—
973	C₂×C₂²⋊C₄	—	79	1	no	—
974	C₂×C₂²⋊C₄	—	79	1	no	—
975	C₂×C₄²	—	79	1	no	—
976	C₂×C₄²	—	79	1	no	—
977	C₂×C₄²	—	79	1	no	—
978	C₂×C₄²	—	79	1	no	—
979	C₂×C₄²	—	79	1	no	—
980	C₂×C₄²	—	79	1	no	—
981	C₂×C₄²	—	79	1	no	—
982	C₂×C₄²	—	79	1	no	—
983	C₂×C₄²	—	79	1	no	—
984	C₂×C₄²	—	158	4	no	—
985	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
986	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
987	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
988	#95	—	79	1	no	—
989	#95	—	79	1	no	—
990	#95	—	79	1	no	—
991	#95	—	79	1	no	—
992	#95	—	79	1	no	—
993	#95	—	79	1	no	—
994	#95	—	79	1	no	—
995	#95	—	79	1	no	—
996	#95	—	79	1	no	—
997	#95	—	79	1	no	—
998	#95	—	79	1	no	—
999	#95	—	79	1	no	—
1000	#95	—	79	1	no	—
1001	#95	—	79	1	no	—
1002	#95	—	79	1	no	—
1003	#95	—	79	1	no	—
1004	#95	—	79	1	no	—
1005	#95	—	79	1	no	—
1006	#95	—	79	1	no	—
1007	#95	—	79	1	no	—
1008	#95	—	79	1	no	—
1009	#95	—	79	1	no	—
1010	#95	—	79	1	no	—
1011	#95	—	79	1	no	—
1012	#95	—	79	1	no	—
1013	#95	—	79	1	no	—
1014	#95	—	79	1	no	—
1015	#95	—	79	1	no	—
1016	#95	—	79	1	no	—
1017	#95	—	79	1	no	—
1018	#95	—	79	1	no	—
1019	#95	—	79	1	no	—
1020	#95	—	79	1	no	—
1021	#95	—	79	1	no	—
1022	#95	—	79	1	no	—
1023	#95	—	79	1	no	—
1024	#95	—	79	1	no	—
1025	#95	—	79	1	no	—
1026	#95	—	79	1	no	—
1027	#95	—	79	1	no	—
1028	#95	—	79	1	no	—
1029	#95	—	79	1	no	—
1030	#95	—	79	1	no	—
1031	#95	—	79	1	no	—
1032	#95	—	79	1	no	—
1033	#95	—	79	1	no	—
1034	#95	—	79	1	no	—
1035	#95	—	79	1	no	—
1036	#95	C₂²×D₇₉	1	1	yes	characteristic
1037	#95	C₂²×D₇₉	1	1	yes	characteristic
1038	#95	C₂²×D₇₉	1	1	yes	characteristic
1039	#95	C₂²×D₇₉	1	1	yes	characteristic
1040	#95	C₂²×D₇₉	1	1	yes	characteristic
1041	#95	C₂²×D₇₉	1	1	yes	characteristic
1042	#95	C₂²×D₇₉	1	1	yes	characteristic
1043	#95	C₂²×D₇₉	1	1	yes	characteristic
1044	#95	C₂²×D₇₉	1	1	yes	characteristic
1045	#95	C₂²×D₇₉	1	1	yes	characteristic
1046	#95	C₂²×D₇₉	1	1	yes	characteristic
1047	#95	C₂²×D₇₉	1	1	yes	characteristic
1048	#95	C₂²×D₇₉	1	1	yes	characteristic
1049	#95	C₂²×D₇₉	1	1	yes	characteristic
1050	#95	C₂²×D₇₉	1	1	yes	characteristic
1051	#95	C₂²×D₇₉	1	1	yes	characteristic
1052	C₂⁴	—	79	1	no	—
1053	C₂×Q₈	—	2	2	no	—
1054	C₂×Q₈	—	2	2	no	—
1055	C₂×Q₈	—	4	1	no	—
1056	C₂×Q₈	—	4	1	no	—
1057	C₂×Q₈	—	4	1	no	—
1058	C₂×Q₈	—	4	1	no	—
1059	C₂×Q₈	—	316	1	no	—
1060	C₂×Q₈	—	316	1	no	—
1061	C₂×Q₈	—	316	1	no	—
1062	C₂×Q₈	—	316	1	no	—
1063	C₂×Q₈	—	158	2	no	—
1064	C₂×Q₈	—	158	2	no	—
1065	C₂²×C₄	—	316	1	no	—
1066	C₂²×C₄	—	316	1	no	—
1067	C₂²×C₄	—	316	1	no	—
1068	C₂²×C₄	—	316	1	no	—
1069	C₂²×C₄	—	316	1	no	—
1070	C₂²×C₄	—	316	1	no	—
1071	C₂²×C₄	—	79	4	no	—
1072	C₂²×C₄	—	79	4	no	—
1073	C₂²×C₄	—	79	1	no	—
1074	C₂²×C₄	—	79	1	no	—
1075	C₂²×C₄	—	79	1	no	—
1076	C₂²×C₄	—	79	1	no	—
1077	C₂²×C₄	—	79	4	no	—
1078	C₂²×C₄	—	79	1	no	—
1079	C₂²×C₄	—	79	1	no	—
1080	C₂²×C₄	—	79	1	no	—
1081	C₂²×C₄	—	79	1	no	—
1082	C₂²×C₄	—	79	1	no	—
1083	C₂²×C₄	—	79	1	no	—
1084	C₂²×C₄	—	79	1	no	—
1085	C₂²×C₄	—	79	1	no	—
1086	C₂²×C₄	—	79	1	no	—
1087	C₂²×C₄	—	79	1	no	—
1088	C₂²×C₄	—	79	1	no	—
1089	C₂²×C₄	—	158	2	no	—
1090	C₂²×C₄	—	158	2	no	—
1091	C₂²×C₄	—	158	2	no	—
1092	C₂²×C₄	—	158	2	no	—
1093	C₂²×C₄	—	158	2	no	—
1094	C₂²×C₄	—	158	2	no	—
1095	C₂²×C₄	—	158	2	no	—
1096	C₂²×C₄	—	158	2	no	—
1097	C₂²×C₄	—	158	2	no	—
1098	C₂²×C₄	—	158	2	no	—
1099	C₂²×C₄	—	158	2	no	—
1100	C₂²×C₄	—	158	2	no	—
1101	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1103	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1116	C₄⋊C₄	—	2	2	no	—
1117	C₄⋊C₄	—	2	2	no	—
1118	C₄⋊C₄	—	2	2	no	—
1119	C₄⋊C₄	—	2	2	no	—
1120	C₄⋊C₄	—	2	2	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	2	2	no	—
1123	C₄⋊C₄	—	2	2	no	—
1124	C₄⋊C₄	—	2	2	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	—	4	1	no	—
1128	C₄⋊C₄	—	4	1	no	—
1129	C₄⋊C₄	—	316	1	no	—
1130	C₄⋊C₄	—	316	1	no	—
1131	C₄⋊C₄	—	316	1	no	—
1132	C₄⋊C₄	—	316	1	no	—
1133	C₄⋊C₄	—	316	1	no	—
1134	C₄⋊C₄	—	316	1	no	—
1135	C₄⋊C₄	—	316	1	no	—
1136	C₄⋊C₄	—	316	1	no	—
1137	C₄⋊C₄	—	79	4	no	—
1138	C₄⋊C₄	—	79	4	no	—
1139	C₄⋊C₄	—	79	4	no	—
1140	C₄⋊C₄	—	158	2	no	—
1141	C₄⋊C₄	—	158	2	no	—
1142	C₄⋊C₄	—	158	2	no	—
1143	C₄⋊C₄	—	158	2	no	—
1144	C₄⋊C₄	—	158	2	no	—
1145	C₄⋊C₄	—	158	2	no	—
1146	C₄⋊C₄	—	158	2	no	—
1147	C₄⋊C₄	—	158	2	no	—
1148	C₄⋊C₄	—	158	2	no	—
1149	C₄⋊C₄	—	158	2	no	—
1150	C₄⋊C₄	—	158	2	no	—
1151	C₄⋊C₄	—	158	2	no	—
1152	C₄⋊C₄	—	158	2	no	—
1153	C₄⋊C₄	—	158	2	no	—
1154	C₄⋊C₄	—	158	2	no	—
1155	C₄⋊C₄	—	158	2	no	—
1156	C₄⋊C₄	—	158	2	no	—
1157	C₄⋊C₄	—	158	2	no	—
1158	C₄⋊C₄	—	158	2	no	—
1159	C₄⋊C₄	—	158	2	no	—
1160	C₄⋊C₄	—	158	2	no	—
1161	C₄⋊C₄	—	158	2	no	—
1162	C₄⋊C₄	—	158	2	no	—
1163	C₄⋊C₄	—	158	2	no	—
1164	C₄⋊C₄	—	158	2	no	—
1165	C₄⋊C₄	—	158	2	no	—
1166	C₄⋊C₄	—	158	2	no	—
1167	C₄⋊C₄	—	158	2	no	—
1168	C₄⋊C₄	—	158	2	no	—
1169	C₄⋊C₄	—	158	2	no	—
1170	C₄⋊C₄	—	158	2	no	—
1171	C₄⋊C₄	—	158	2	no	—
1172	C₄⋊C₄	—	158	2	no	—
1173	C₄⋊C₄	—	158	2	no	—
1174	C₄⋊C₄	—	158	2	no	—
1175	C₄⋊C₄	D₄×D₇₉	1	4	yes	—
1176	C₂²⋊C₄	—	158	2	no	—
1177	C₂²⋊C₄	—	158	2	no	—
1178	C₂²⋊C₄	—	158	2	no	—
1179	C₂²⋊C₄	—	158	2	no	—
1180	C₂²⋊C₄	—	158	2	no	—
1181	C₂²⋊C₄	—	158	2	no	—
1182	C₂²⋊C₄	—	158	2	no	—
1183	C₂²⋊C₄	—	158	2	no	—
1184	C₄²	—	2	2	no	—
1185	C₄²	—	2	2	no	—
1186	C₄²	—	4	1	no	—
1187	C₄²	—	316	1	no	—
1188	C₄²	—	316	1	no	—
1189	C₄²	—	316	1	no	—
1190	C₄²	—	158	2	no	—
1191	C₄²	—	158	2	no	—
1192	C₄²	—	158	2	no	—
1193	C₄²	—	158	2	no	—
1194	C₄²	—	158	2	no	—
1195	C₄²	—	158	2	no	—
1196	C₂³	—	79	2	no	—
1197	C₂³	—	79	2	no	—
1198	C₂³	—	79	2	no	—
1199	C₂³	—	158	1	no	—
1200	C₂³	—	158	1	no	—
1201	C₂³	—	158	1	no	—
1202	C₂³	—	158	1	no	—
1203	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1204	Q₈	—	8	2	no	—
1205	Q₈	—	8	2	no	—
1206	Q₈	—	632	2	no	—
1207	Q₈	—	632	2	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	316	4	no	—
1250	C₂×C₄	—	316	4	no	—
1251	C₂×C₄	—	316	4	no	—
1252	C₂×C₄	—	316	4	no	—
1253	C₂×C₄	—	316	4	no	—
1254	C₂×C₄	—	79	2	no	—
1255	C₂×C₄	—	79	2	no	—
1256	C₂×C₄	—	79	2	no	—
1257	C₂×C₄	—	79	2	no	—
1258	C₂×C₄	—	158	8	no	—
1259	C₂×C₄	—	158	8	no	—
1260	C₂×C₄	—	158	1	no	—
1261	C₂×C₄	—	158	1	no	—
1262	C₂×C₄	—	158	1	no	—
1263	C₂×C₄	—	158	1	no	—
1264	C₂×C₄	—	158	1	no	—
1265	C₂×C₄	—	158	1	no	—
1266	C₂×C₄	—	158	1	no	—
1267	C₂×C₄	—	158	1	no	—
1268	C₂×C₄	—	158	1	no	—
1269	C₂×C₄	—	158	1	no	—
1270	C₂×C₄	—	158	1	no	—
1271	C₂×C₄	—	158	1	no	—
1272	C₂×C₄	—	158	1	no	—
1273	C₂×C₄	—	158	1	no	—
1274	C₂×C₄	—	158	1	no	—
1275	C₂×C₄	—	158	1	no	—
1276	C₂×C₄	—	158	1	no	—
1277	C₂×C₄	—	158	1	no	—
1278	C₂×C₄	—	158	1	no	—
1279	C₂×C₄	—	158	1	no	—
1280	C₂×C₄	—	158	1	no	—
1281	C₂×C₄	—	158	1	no	—
1282	C₂×C₄	—	158	1	no	—
1283	C₂×C₄	—	158	1	no	—
1284	C₂×C₄	—	158	1	no	—
1285	C₂×C₄	—	158	1	no	—
1286	C₂×C₄	—	158	1	no	—
1287	C₂×C₄	—	158	1	no	—
1288	C₂×C₄	—	158	1	no	—
1289	C₂×C₄	—	158	1	no	—
1290	C₂×C₄	—	158	1	no	—
1291	C₂×C₄	—	158	1	no	—
1292	C₂×C₄	—	158	1	no	—
1293	C₂×C₄	—	158	1	no	—
1294	C₂×C₄	—	158	1	no	—
1295	C₂×C₄	—	158	1	no	—
1296	C₂×C₄	—	158	1	no	—
1297	C₂×C₄	—	158	1	no	—
1298	C₂×C₄	—	158	1	no	—
1299	C₂×C₄	—	158	1	no	—
1300	C₂×C₄	—	158	1	no	—
1301	C₂×C₄	C₂×D₄×D₇₉	1	2	yes	—
1302	C₂×C₄	C₂×D₄×D₇₉	1	2	yes	—
1303	C₂×C₄	C₂×D₄×D₇₉	1	2	yes	—
1304	C₂×C₄	#14579209	1	2	yes	—
1305	C₂²	—	79	4	no	—
1306	C₂²	—	158	2	no	—
1307	C₂²	—	158	2	no	—
1308	C₂²	—	158	2	no	—
1309	C₂²	—	158	2	no	—
1310	C₂²	—	158	2	no	—
1311	C₂²	—	158	2	no	—
1312	C₂²	C₂²×D₄×D₇₉	1	1	yes	characteristic
1313	C₂²	2₋¹⁺⁴×D₇₉	1	1	yes	characteristic
1314	C₂²	2₋¹⁺⁴×D₇₉	1	1	yes	characteristic
1315	C₂²	2₋¹⁺⁴×D₇₉	1	1	yes	characteristic
1316	C₂²	C₂×#14579209	1	1	yes	characteristic
1317	C₂²	#19099398	1	1	yes	characteristic
1318	C₂²	#19099399	1	1	yes	characteristic
1319	C₄	—	2	2	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	316	1	no	—
1335	C₄	—	316	1	no	—
1336	C₄	—	316	1	no	—
1337	C₄	—	316	1	no	—
1338	C₄	—	316	1	no	—
1339	C₄	—	316	1	no	—
1340	C₄	—	316	1	no	—
1341	C₄	—	316	1	no	—
1342	C₄	—	316	1	no	—
1343	C₄	—	316	1	no	—
1344	C₄	—	316	1	no	—
1345	C₄	—	158	2	no	—
1346	C₄	—	158	2	no	—
1347	C₄	—	158	2	no	—
1348	C₄	—	158	2	no	—
1349	C₂	—	158	4	no	—
1350	C₂	#536×D₇₉	1	1	yes	characteristic
1351	C₂	#23777037	1	1	yes	characteristic
1352	C₂	#23777050	1	1	yes	characteristic
1353	C₂	#23777996	1	1	yes	characteristic
1354	C₂	#23777998	1	1	yes	characteristic
1355	C₂	#23778000	1	1	yes	characteristic
1356	C₂	#23778002	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₉
commutator, socle, cosocle	C₂³×C₇₉	C₂⁵
Fitting	C₇₉×#2713	C₂
prime radical	C₂³×D₇₉	C₂⁴
hypercenter	#2713	D₇₉
hypocenter	C₇₉	#36959
LCS	G ▷ C₂³×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ #2713

Complements

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

N	H ≅ G/N	type
5. #23770271	C₂	semidirect
6. #23770269	C₂	semidirect
7. #23770268	C₂	semidirect
8. #23770266	C₂	semidirect
9. #23770264	C₂	semidirect
10. #23770263	C₂	semidirect
11. #23770262	C₂	semidirect
12. #23770261	C₂	semidirect
13. #23770188	C₂	semidirect
14. #23770186	C₂	semidirect
15. #23770183	C₂	semidirect
16. #23770181	C₂	semidirect
17. #23770176	C₂	semidirect
18. #23770175	C₂	semidirect
19. #23770174	C₂	semidirect
31. C₇₉×#2713	C₂	semidirect
698. #2713	D₇₉	semidirect
710. C₇₉	#36959	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19099190	2
C₂×#125×D₇₉	2
#23771741	2
#23771735	2
#23770271	2
#23770269	2
#23770268	2
#23770266	2
#23770264	2
#23770263	2
#23770262	2
#23770261	2
#23770188	2
#23770186	2
#23770183	2
#23770181	2
#23770176	2
#23770175	2
#23770174	2
#23769218	2
#23769212	2
#23768778	2
#23768776	2
#23767884	2
#23767880	2
#23767688	2
#23767685	2
#23767682	2
#23765999	2
C₇₉×#2713	2
#36959	79