Subgroups — #34502287

Order 20224.

1402 conjugacy classes of subgroups.

The subgroup lattice has 1286 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23771740	C₂	1	1	yes	maximal, characteristic, complemented
2	#23771723	C₂	1	1	yes	maximal, characteristic
3	#23771009	C₂	1	1	yes	maximal, characteristic, complemented
4	#23770920	C₂	1	1	yes	maximal, characteristic, complemented
5	#23770886	C₂	1	1	yes	maximal, characteristic, complemented
6	#23770871	C₂	1	1	yes	maximal, characteristic, complemented
7	#23770855	C₂	1	1	yes	maximal, characteristic, complemented
8	#23770841	C₂	1	1	yes	maximal, characteristic, complemented
9	#23770819	C₂	1	1	yes	maximal, characteristic, complemented
10	#23770795	C₂	1	1	yes	maximal, characteristic, complemented
11	#23770793	C₂	1	1	yes	maximal, characteristic
12	#23770713	C₂	1	1	yes	maximal, characteristic, complemented
13	#23770698	C₂	1	1	yes	maximal, characteristic, complemented
14	#23770590	C₂	1	1	yes	maximal, characteristic
15	#23770560	C₂	1	1	yes	maximal, characteristic, complemented
16	#23770546	C₂	1	1	yes	maximal, characteristic
17	#23770506	C₂	1	1	yes	maximal, characteristic
18	#23770476	C₂	1	1	yes	maximal, characteristic, complemented
19	#23769548	C₂	1	1	yes	maximal, characteristic
20	#23768913	C₂	1	1	yes	maximal, characteristic, complemented
21	#23768873	C₂	1	1	yes	maximal, characteristic, complemented
22	#23768873	C₂	1	1	yes	maximal, characteristic, complemented
23	#23768696	C₂	1	1	yes	maximal, characteristic, complemented
24	#23768284	C₂	1	1	yes	maximal, characteristic, complemented
25	#23768239	C₂	1	1	yes	maximal, characteristic, complemented
26	#23768224	C₂	1	1	yes	maximal, characteristic, complemented
27	#23768209	C₂	1	1	yes	maximal, characteristic, complemented
28	#23766186	C₂	1	1	yes	maximal, characteristic
29	#23766153	C₂	1	1	yes	maximal, characteristic, complemented
30	#23765794	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₉×#2667	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14579144	C₂²	1	1	yes	characteristic
33	C₂×#14579140	C₂²	1	1	yes	characteristic
34	C₂²×C₄×Dic₇₉	C₂²	1	1	yes	characteristic
35	C₇₉⋊#401	C₂²	1	1	yes	characteristic
36	C₇₉⋊#401	C₂²	1	1	yes	characteristic
37	#19098505	C₂²	1	1	yes	characteristic
38	#19098505	C₂²	1	1	yes	characteristic
39	#19098505	C₂²	1	1	yes	characteristic
40	#19098503	C₂²	1	1	yes	characteristic
41	#19098502	C₂²	1	1	yes	characteristic
42	#19098502	C₂²	1	1	yes	characteristic
43	#19098502	C₂²	1	1	yes	characteristic
44	#19098502	C₂²	1	1	yes	characteristic
45	#19098502	C₂²	1	1	yes	characteristic
46	#19098502	C₂²	1	1	yes	characteristic
47	#19098502	C₂²	1	1	yes	characteristic
48	#19098501	C₂²	1	1	yes	characteristic
49	#19098501	C₂²	1	1	yes	characteristic
50	#19098501	C₂²	1	1	yes	characteristic
51	#19098500	C₂²	1	1	yes	characteristic
52	#19098498	C₂²	1	1	yes	characteristic
53	#19098496	C₂²	1	1	yes	characteristic
54	#19098496	C₂²	1	1	yes	characteristic
55	#19098496	C₂²	1	1	yes	characteristic
56	#19098496	C₂²	1	1	yes	characteristic
57	#19098496	C₂²	1	1	yes	characteristic
58	#19098496	C₂²	1	1	yes	characteristic
59	#19098496	C₂²	1	1	yes	characteristic
60	#19098496	C₂²	1	1	yes	characteristic
61	#19098495	C₂²	1	1	yes	characteristic
62	#19098492	C₂²	1	1	yes	characteristic
63	#19098490	C₂²	1	1	yes	characteristic
64	#19098489	C₂²	1	1	yes	characteristic
65	#19098489	C₂²	1	1	yes	characteristic
66	#19098489	C₂²	1	1	yes	characteristic
67	#19098488	C₂²	1	1	yes	characteristic
68	#19098488	C₂²	1	1	yes	characteristic
69	#19098485	C₂²	1	1	yes	characteristic
70	#19098485	C₂²	1	1	yes	characteristic
71	#19098484	C₂²	1	1	yes	characteristic
72	#19098479	C₂²	1	1	yes	characteristic
73	#19098479	C₂²	1	1	yes	characteristic
74	#19098476	C₂²	1	1	yes	characteristic
75	#19098468	C₂²	1	1	yes	characteristic
76	#19098468	C₂²	1	1	yes	characteristic
77	#19098467	C₂²	1	1	yes	characteristic
78	#19098467	C₂²	1	1	yes	characteristic
79	#19098463	C₂²	1	1	yes	characteristic
80	#19098462	C₂²	1	1	yes	characteristic
81	#19098462	C₂²	1	1	yes	characteristic
82	#19098462	C₂²	1	1	yes	characteristic
83	#19098462	C₂²	1	1	yes	characteristic
84	#19098462	C₂²	1	1	yes	characteristic
85	#19098461	C₂²	1	1	yes	characteristic
86	#19098461	C₂²	1	1	yes	characteristic
87	#19098459	C₂²	1	1	yes	characteristic
88	#19098458	C₂²	1	1	yes	characteristic
89	#19098457	C₂²	1	1	yes	characteristic
90	#19098457	C₂²	1	1	yes	characteristic
91	#19098457	C₂²	1	1	yes	characteristic
92	#19098455	C₂²	1	1	yes	characteristic
93	#19098455	C₂²	1	1	yes	characteristic
94	#19098455	C₂²	1	1	yes	characteristic
95	#19098455	C₂²	1	1	yes	characteristic
96	#19098454	C₂²	1	1	yes	characteristic
97	#19098454	C₂²	1	1	yes	characteristic
98	#19098453	C₂²	1	1	yes	characteristic
99	#19098453	C₂²	1	1	yes	characteristic
100	#19098453	C₂²	1	1	yes	characteristic
101	#19098453	C₂²	1	1	yes	characteristic
102	#19098452	C₂²	1	1	yes	characteristic
103	#19098452	C₂²	1	1	yes	characteristic
104	#19098451	C₂²	1	1	yes	characteristic
105	#19098451	C₂²	1	1	yes	characteristic
106	#19098451	C₂²	1	1	yes	characteristic
107	#19098450	C₂²	1	1	yes	characteristic
108	#19098450	C₂²	1	1	yes	characteristic
109	#19098449	C₂²	1	1	yes	characteristic
110	#19098449	C₂²	1	1	yes	characteristic
111	#19098449	C₂²	1	1	yes	characteristic
112	#19098449	C₂²	1	1	yes	characteristic
113	#19098449	C₂²	1	1	yes	characteristic
114	#19098448	C₂²	1	1	yes	characteristic
115	#19098448	C₂²	1	1	yes	characteristic
116	#19098448	C₂²	1	1	yes	characteristic
117	#19098448	C₂²	1	1	yes	characteristic
118	#19098448	C₂²	1	1	yes	characteristic
119	#19098448	C₂²	1	1	yes	characteristic
120	#19098448	C₂²	1	1	yes	characteristic
121	#19098448	C₂²	1	1	yes	characteristic
122	#19098446	C₂²	1	1	yes	characteristic
123	#19098446	C₂²	1	1	yes	characteristic
124	#19098446	C₂²	1	1	yes	characteristic
125	#19098446	C₂²	1	1	yes	characteristic
126	#19098446	C₂²	1	1	yes	characteristic
127	#19098445	C₂²	1	1	yes	characteristic
128	#19098445	C₂²	1	1	yes	characteristic
129	#19098445	C₂²	1	1	yes	characteristic
130	#19098444	C₂²	1	1	yes	characteristic
131	#19098444	C₂²	1	1	yes	characteristic
132	#19098444	C₂²	1	1	yes	characteristic
133	#19098444	C₂²	1	1	yes	characteristic
134	#19098444	C₂²	1	1	yes	characteristic
135	#19098444	C₂²	1	1	yes	characteristic
136	#19098444	C₂²	1	1	yes	characteristic
137	#19098440	C₂²	1	1	yes	characteristic
138	#19098440	C₂²	1	1	yes	characteristic
139	#19098439	C₂²	1	1	yes	characteristic
140	#19098438	C₂²	1	1	yes	characteristic
141	#19098438	C₂²	1	1	yes	characteristic
142	#19098438	C₂²	1	1	yes	characteristic
143	#19098438	C₂²	1	1	yes	characteristic
144	#19098434	C₂²	1	1	yes	characteristic
145	#19098434	C₂²	1	1	yes	characteristic
146	#19098434	C₂²	1	1	yes	characteristic
147	#19098430	C₂²	1	1	yes	characteristic
148	#19098430	C₂²	1	1	yes	characteristic
149	#19098430	C₂²	1	1	yes	characteristic
150	#19098428	C₂²	1	1	yes	characteristic
151	#19098428	C₂²	1	1	yes	characteristic
152	#19098428	C₂²	1	1	yes	characteristic
153	#19098427	C₂²	1	1	yes	characteristic
154	#19098427	C₂²	1	1	yes	characteristic
155	#19098425	C₂²	1	1	yes	characteristic
156	#19098424	C₂²	1	1	yes	characteristic
157	#19098424	C₂²	1	1	yes	characteristic
158	#19098424	C₂²	1	1	yes	characteristic
159	#19098424	C₂²	1	1	yes	characteristic
160	#19098421	C₂²	1	1	yes	characteristic
161	#19098421	C₂²	1	1	yes	characteristic
162	#19098420	C₂²	1	1	yes	characteristic
163	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
165	#19098414	C₂²	1	1	yes	characteristic
166	#19098414	C₂²	1	1	yes	characteristic
167	#19098414	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
169	#19098410	C₂²	1	1	yes	characteristic
170	#19098409	C₂²	1	1	yes	characteristic
171	#19098409	C₂²	1	1	yes	characteristic
172	#399×C₇₉	C₂²	1	1	yes	characteristic
173	#399×C₇₉	C₂²	1	1	yes	characteristic
174	#398×C₇₉	C₂²	1	1	yes	characteristic
175	#398×C₇₉	C₂²	1	1	yes	characteristic
176	#398×C₇₉	C₂²	1	1	yes	characteristic
177	#398×C₇₉	C₂²	1	1	yes	characteristic
178	#396×C₇₉	C₂²	1	1	yes	characteristic
179	#396×C₇₉	C₂²	1	1	yes	characteristic
180	#389×C₇₉	C₂²	1	1	yes	characteristic
181	#389×C₇₉	C₂²	1	1	yes	characteristic
182	#387×C₇₉	C₂²	1	1	yes	characteristic
183	#387×C₇₉	C₂²	1	1	yes	characteristic
184	#381×C₇₉	C₂²	1	1	yes	characteristic
185	#380×C₇₉	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
189	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
190	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
192	#14579144	—	2	4	no	—
193	#14579140	—	2	4	no	—
194	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
195	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
207	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
227	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₄×Dic₇₉	—	2	4	no	—
241	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
242	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
243	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
244	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
245	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
246	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
247	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
248	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
249	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
250	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
251	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
252	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
253	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
254	C₇₉⋊#95	C₂³	1	1	yes	characteristic
255	C₇₉⋊#95	C₂³	1	1	yes	characteristic
256	C₇₉⋊#95	C₂³	1	1	yes	characteristic
257	C₇₉⋊#95	C₂³	1	1	yes	characteristic
258	C₇₉⋊#95	C₂³	1	1	yes	characteristic
259	C₇₉⋊#95	C₂³	1	1	yes	characteristic
260	C₇₉⋊#95	C₂³	1	1	yes	characteristic
261	C₇₉⋊#95	C₂³	1	1	yes	characteristic
262	C₇₉⋊#95	C₂³	1	1	yes	characteristic
263	C₇₉⋊#95	C₂³	1	1	yes	characteristic
264	C₇₉⋊#95	C₂³	1	1	yes	characteristic
265	C₇₉⋊#95	C₂³	1	1	yes	characteristic
266	C₇₉⋊#95	C₂³	1	1	yes	characteristic
267	C₇₉⋊#95	C₂³	1	1	yes	characteristic
268	C₇₉⋊#95	C₂³	1	1	yes	characteristic
269	C₇₉⋊#95	C₂³	1	1	yes	characteristic
270	C₇₉⋊#95	C₂³	1	1	yes	characteristic
271	C₇₉⋊#95	C₂³	1	1	yes	characteristic
272	C₇₉⋊#95	C₂³	1	1	yes	characteristic
273	C₇₉⋊#95	C₂³	1	1	yes	characteristic
274	C₇₉⋊#95	C₂³	1	1	yes	characteristic
275	C₇₉⋊#95	C₂³	1	1	yes	characteristic
276	C₇₉⋊#95	C₂³	1	1	yes	characteristic
277	C₇₉⋊#95	C₂³	1	1	yes	characteristic
278	C₇₉⋊#95	C₂³	1	1	yes	characteristic
279	C₇₉⋊#95	C₂³	1	1	yes	characteristic
280	C₇₉⋊#95	C₂³	1	1	yes	characteristic
281	C₇₉⋊#95	C₂³	1	1	yes	characteristic
282	C₇₉⋊#95	C₂³	1	1	yes	characteristic
283	C₇₉⋊#95	C₂³	1	1	yes	characteristic
284	C₇₉⋊#95	C₂³	1	1	yes	characteristic
285	C₇₉⋊#95	C₂³	1	1	yes	characteristic
286	C₇₉⋊#95	C₂³	1	1	yes	characteristic
287	C₇₉⋊#95	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
333	#95×C₇₉	C₂³	1	1	yes	characteristic
334	#95×C₇₉	C₂³	1	1	yes	characteristic
335	#95×C₇₉	C₂³	1	1	yes	characteristic
336	#95×C₇₉	C₂³	1	1	yes	characteristic
337	#95×C₇₉	C₂³	1	1	yes	characteristic
338	#95×C₇₉	C₂³	1	1	yes	characteristic
339	#95×C₇₉	C₂³	1	1	yes	characteristic
340	#95×C₇₉	C₂³	1	1	yes	characteristic
341	#95×C₇₉	C₂³	1	1	yes	characteristic
342	#95×C₇₉	C₂³	1	1	yes	characteristic
343	#95×C₇₉	C₂³	1	1	yes	characteristic
344	#95×C₇₉	C₂³	1	1	yes	characteristic
345	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
346	C₂×Dic₁₅₈	—	2	2	no	—
347	C₂×Dic₁₅₈	—	4	1	no	—
348	C₂×Dic₁₅₈	—	4	1	no	—
349	C₂×C₂²⋊D₇₉	—	2	2	no	—
350	C₂×C₂²⋊D₇₉	—	4	1	no	—
351	C₂×C₂²⋊D₇₉	—	4	1	no	—
352	C₂²×Dic₇₉	—	2	2	no	—
353	C₂²×Dic₇₉	—	2	2	no	—
354	C₂²×Dic₇₉	—	2	2	no	—
355	C₂²×Dic₇₉	—	4	1	no	—
356	C₂²×Dic₇₉	—	4	1	no	—
357	C₂²×Dic₇₉	—	4	1	no	—
358	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
359	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
360	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
361	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
362	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
363	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
364	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
365	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
373	C₂×C₄×D₇₉	—	4	1	no	—
374	C₂×C₄×D₇₉	—	4	1	no	—
375	C₂×C₄×D₇₉	—	4	1	no	—
376	C₄⋊Dic₇₉	—	2	2	no	—
377	C₄⋊Dic₇₉	—	2	2	no	—
378	C₄⋊Dic₇₉	—	4	1	no	—
379	C₄⋊Dic₇₉	—	4	1	no	—
380	C₄⋊Dic₇₉	—	4	1	no	—
381	C₄⋊Dic₇₉	—	4	1	no	—
382	C₄⋊Dic₇₉	—	4	1	no	—
383	C₄⋊Dic₇₉	—	4	1	no	—
384	C₄⋊Dic₇₉	—	4	1	no	—
385	C₄⋊Dic₇₉	—	4	1	no	—
386	C₄⋊Dic₇₉	—	4	1	no	—
387	C₄⋊Dic₇₉	—	4	1	no	—
388	C₄⋊Dic₇₉	—	4	1	no	—
389	Dic₇₉⋊C₄	—	2	2	no	—
390	Dic₇₉⋊C₄	—	2	2	no	—
391	Dic₇₉⋊C₄	—	2	2	no	—
392	Dic₇₉⋊C₄	—	2	2	no	—
393	Dic₇₉⋊C₄	—	2	2	no	—
394	Dic₇₉⋊C₄	—	2	2	no	—
395	Dic₇₉⋊C₄	—	4	1	no	—
396	Dic₇₉⋊C₄	—	4	1	no	—
397	Dic₇₉⋊C₄	—	4	1	no	—
398	Dic₇₉⋊C₄	—	4	1	no	—
399	Dic₇₉⋊C₄	—	4	1	no	—
400	Dic₇₉⋊C₄	—	4	1	no	—
401	Dic₇₉⋊C₄	—	4	1	no	—
402	Dic₇₉⋊C₄	—	4	1	no	—
403	Dic₇₉⋊C₄	—	4	1	no	—
404	C₂²⋊Dic₇₉	—	2	2	no	—
405	C₂²⋊Dic₇₉	—	2	2	no	—
406	C₂²⋊Dic₇₉	—	2	2	no	—
407	C₂²⋊Dic₇₉	—	4	1	no	—
408	C₂²⋊Dic₇₉	—	4	1	no	—
409	(C₂×D₇₉)⋊C₄	—	2	2	no	—
410	(C₂×D₇₉)⋊C₄	—	2	2	no	—
411	(C₂×D₇₉)⋊C₄	—	2	2	no	—
412	(C₂×D₇₉)⋊C₄	—	4	1	no	—
413	(C₂×D₇₉)⋊C₄	—	4	1	no	—
414	(C₂×D₇₉)⋊C₄	—	4	1	no	—
415	(C₂×D₇₉)⋊C₄	—	4	1	no	—
416	(C₂×D₇₉)⋊C₄	—	4	1	no	—
417	(C₂×D₇₉)⋊C₄	—	4	1	no	—
418	(C₂×D₇₉)⋊C₄	—	4	1	no	—
419	(C₂×D₇₉)⋊C₄	—	4	1	no	—
420	(C₂×D₇₉)⋊C₄	—	4	1	no	—
421	(C₂×D₇₉)⋊C₄	—	4	1	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	—	4	1	no	—
427	C₄×Dic₇₉	—	4	1	no	—
428	C₄×Dic₇₉	—	4	1	no	—
429	C₄×Dic₇₉	—	4	1	no	—
430	C₄×Dic₇₉	—	4	1	no	—
431	C₄×Dic₇₉	—	4	1	no	—
432	C₄×Dic₇₉	—	4	1	no	—
433	C₄×Dic₇₉	—	4	1	no	—
434	C₄×Dic₇₉	—	4	1	no	—
435	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₇₉	—	4	1	no	—
437	C₂²×C₄×C₇₉	—	4	1	no	—
438	C₂²×C₄×C₇₉	#41	1	4	yes	—
439	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
453	C₄⋊C₄×C₇₉	—	4	1	no	—
454	C₄⋊C₄×C₇₉	—	4	1	no	—
455	C₄⋊C₄×C₇₉	—	4	1	no	—
456	C₄⋊C₄×C₇₉	—	4	1	no	—
457	C₄⋊C₄×C₇₉	—	4	1	no	—
458	C₄⋊C₄×C₇₉	—	4	1	no	—
459	C₄⋊C₄×C₇₉	—	4	1	no	—
460	C₄⋊C₄×C₇₉	—	4	1	no	—
461	C₄⋊C₄×C₇₉	—	4	1	no	—
462	C₄⋊C₄×C₇₉	—	4	1	no	—
463	C₄⋊C₄×C₇₉	—	4	1	no	—
464	C₄⋊C₄×C₇₉	—	4	1	no	—
465	C₄⋊C₄×C₇₉	—	4	1	no	—
466	C₄⋊C₄×C₇₉	—	4	1	no	—
467	C₂²⋊C₄×C₇₉	—	4	1	no	—
468	C₂²⋊C₄×C₇₉	—	4	1	no	—
469	C₂²⋊C₄×C₇₉	—	4	1	no	—
470	C₂²⋊C₄×C₇₉	—	4	1	no	—
471	C₂²⋊C₄×C₇₉	—	4	1	no	—
472	C₂²⋊C₄×C₇₉	—	4	1	no	—
473	C₄²×C₇₉	—	4	1	no	—
474	C₄²×C₇₉	—	4	1	no	—
475	C₂³×C₇₉	—	2	1	no	—
476	C₂³×C₇₉	—	2	1	no	—
477	C₂³×C₇₉	—	2	1	no	—
478	C₂³×C₇₉	—	2	1	no	—
479	C₂³×C₇₉	—	2	1	no	—
480	C₂³×C₇₉	—	2	1	no	—
481	C₂³×C₇₉	C₂×#41	1	2	yes	—
482	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
483	C₂²×D₇₉	—	2	1	no	—
484	C₂²×D₇₉	—	2	1	no	—
485	C₂²×D₇₉	—	2	1	no	—
486	C₂²×D₇₉	—	2	1	no	—
487	C₂²×D₇₉	—	2	1	no	—
488	C₂²×D₇₉	—	2	1	no	—
489	C₂²×D₇₉	—	2	1	no	—
490	C₂×C₄×C₇₉	—	2	1	no	—
491	C₂×C₄×C₇₉	—	2	1	no	—
492	C₂×C₄×C₇₉	—	2	1	no	—
493	C₂×C₄×C₇₉	—	2	1	no	—
494	C₂×C₄×C₇₉	—	2	1	no	—
495	C₂×C₄×C₇₉	—	2	1	no	—
496	C₂×C₄×C₇₉	—	2	1	no	—
497	C₂×C₄×C₇₉	—	2	1	no	—
498	C₂×C₄×C₇₉	—	2	1	no	—
499	C₂×C₄×C₇₉	—	2	1	no	—
500	C₂×C₄×C₇₉	—	2	1	no	—
501	C₂×C₄×C₇₉	—	2	1	no	—
502	C₂×C₄×C₇₉	—	2	1	no	—
503	C₂×C₄×C₇₉	—	2	1	no	—
504	C₂×C₄×C₇₉	—	2	1	no	—
505	C₂×C₄×C₇₉	—	2	1	no	—
506	C₂×C₄×C₇₉	—	2	1	no	—
507	C₂×C₄×C₇₉	—	2	1	no	—
508	C₂×C₄×C₇₉	—	2	1	no	—
509	C₂×C₄×C₇₉	—	2	1	no	—
510	C₂×C₄×C₇₉	—	2	1	no	—
511	C₂×C₄×C₇₉	—	2	1	no	—
512	C₂×C₄×C₇₉	—	2	1	no	—
513	C₂×C₄×C₇₉	—	2	1	no	—
514	C₂×C₄×C₇₉	—	2	1	no	—
515	C₂×C₄×C₇₉	—	2	1	no	—
516	C₂×C₄×C₇₉	—	2	1	no	—
517	C₂×C₄×C₇₉	—	2	1	no	—
518	C₂×C₄×C₇₉	—	2	1	no	—
519	C₂×C₄×C₇₉	—	2	1	no	—
520	C₂×C₄×C₇₉	—	2	1	no	—
521	C₂×C₄×C₇₉	—	2	1	no	—
522	C₂×C₄×C₇₉	—	2	1	no	—
523	C₂×C₄×C₇₉	—	2	1	no	—
524	C₂×C₄×C₇₉	—	2	1	no	—
525	C₂×C₄×C₇₉	—	2	1	no	—
526	C₂×C₄×C₇₉	—	2	1	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	—	4	4	no	—
531	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
532	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
533	C₂²⋊D₇₉	—	8	2	no	—
534	C₂×Dic₇₉	—	2	1	no	—
535	C₂×Dic₇₉	—	2	1	no	—
536	C₂×Dic₇₉	—	2	1	no	—
537	C₂×Dic₇₉	—	2	1	no	—
538	C₂×Dic₇₉	—	2	1	no	—
539	C₂×Dic₇₉	—	2	1	no	—
540	C₂×Dic₇₉	—	2	1	no	—
541	C₂×Dic₇₉	—	2	1	no	—
542	C₂×Dic₇₉	—	2	1	no	—
543	C₂×Dic₇₉	—	2	1	no	—
544	C₂×Dic₇₉	—	2	1	no	—
545	C₂×Dic₇₉	—	2	1	no	—
546	C₂×Dic₇₉	—	2	1	no	—
547	C₂×Dic₇₉	—	2	1	no	—
548	C₂×Dic₇₉	—	2	1	no	—
549	C₂×Dic₇₉	—	2	1	no	—
550	C₂×Dic₇₉	—	2	1	no	—
551	C₂×Dic₇₉	—	2	1	no	—
552	C₂×Dic₇₉	—	2	1	no	—
553	C₂×Dic₇₉	—	2	1	no	—
554	C₂×Dic₇₉	—	2	1	no	—
555	C₂×Dic₇₉	—	2	1	no	—
556	C₂×Dic₇₉	—	2	1	no	—
557	C₂×Dic₇₉	—	2	1	no	—
558	C₂×Dic₇₉	—	2	1	no	—
559	C₂×Dic₇₉	—	2	1	no	—
560	C₂×Dic₇₉	—	2	1	no	—
561	C₂×Dic₇₉	—	2	1	no	—
562	C₂×Dic₇₉	—	2	1	no	—
563	C₂×Dic₇₉	—	2	1	no	—
564	C₂×Dic₇₉	—	2	1	no	—
565	C₂×Dic₇₉	—	2	1	no	—
566	C₂×Dic₇₉	—	2	1	no	—
567	C₂×Dic₇₉	—	2	1	no	—
568	C₂×Dic₇₉	—	2	1	no	—
569	C₂×Dic₇₉	—	2	1	no	—
570	C₂×Dic₇₉	—	2	1	no	—
571	C₂×Dic₇₉	—	2	1	no	—
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	—	4	4	no	—
579	C₂×Dic₇₉	—	4	4	no	—
580	C₂×Dic₇₉	2₋¹⁺⁴	1	2	yes	—
581	C₄×D₇₉	—	8	2	no	—
582	Dic₁₅₈	—	8	2	no	—
583	C₂²×C₇₉	—	2	2	no	—
584	C₂²×C₇₉	—	2	2	no	—
585	C₂²×C₇₉	—	2	2	no	—
586	C₂²×C₇₉	—	4	1	no	—
587	C₂²×C₇₉	—	4	1	no	—
588	C₂²×C₇₉	—	4	1	no	—
589	C₂²×C₇₉	—	4	1	no	—
590	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
591	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
592	C₂²×C₇₉	#585	1	1	yes	characteristic
593	C₂²×C₇₉	#585	1	1	yes	characteristic
594	C₂²×C₇₉	#585	1	1	yes	characteristic
595	C₂²×C₇₉	#585	1	1	yes	characteristic
596	C₂²×C₇₉	#585	1	1	yes	characteristic
597	C₂×D₇₉	—	4	1	no	—
598	C₂×D₇₉	—	4	1	no	—
599	C₂×D₇₉	—	4	1	no	—
600	C₂×D₇₉	—	4	1	no	—
601	C₂×D₇₉	—	4	1	no	—
602	C₂×D₇₉	—	4	1	no	—
603	C₂×D₇₉	—	4	1	no	—
604	C₄×C₇₉	—	2	2	no	—
605	C₄×C₇₉	—	2	2	no	—
606	C₄×C₇₉	—	4	1	no	—
607	C₄×C₇₉	—	4	1	no	—
608	C₄×C₇₉	—	4	1	no	—
609	C₄×C₇₉	—	4	1	no	—
610	C₄×C₇₉	—	4	1	no	—
611	C₄×C₇₉	—	4	1	no	—
612	C₄×C₇₉	—	4	1	no	—
613	C₄×C₇₉	—	4	1	no	—
614	C₄×C₇₉	—	4	1	no	—
615	C₄×C₇₉	—	4	1	no	—
616	C₄×C₇₉	—	4	1	no	—
617	C₄×C₇₉	—	4	1	no	—
618	Dic₇₉	—	2	2	no	—
619	Dic₇₉	—	4	1	no	—
620	Dic₇₉	—	4	1	no	—
621	Dic₇₉	—	4	1	no	—
622	Dic₇₉	—	4	1	no	—
623	Dic₇₉	—	4	1	no	—
624	Dic₇₉	—	4	1	no	—
625	Dic₇₉	—	4	1	no	—
626	Dic₇₉	—	4	1	no	—
627	Dic₇₉	—	4	1	no	—
628	Dic₇₉	—	4	1	no	—
629	Dic₇₉	—	4	1	no	—
630	Dic₇₉	—	4	1	no	—
631	Dic₇₉	—	4	1	no	—
632	Dic₇₉	—	4	1	no	—
633	#36981	—	79	1	no	maximal, Sylow
634	C₂×C₇₉	—	4	2	no	—
635	C₂×C₇₉	#3455	1	1	yes	characteristic
636	C₂×C₇₉	#3491	1	1	yes	characteristic
637	C₂×C₇₉	#3495	1	1	yes	characteristic
638	C₂×C₇₉	#3557	1	1	yes	characteristic
639	C₂×C₇₉	#3565	1	1	yes	characteristic
640	C₂×C₇₉	#3566	1	1	yes	characteristic
641	C₂×C₇₉	#3567	1	1	yes	characteristic
642	D₇₉	—	8	1	no	—
643	#2855	—	79	1	no	—
644	#2853	—	79	1	no	—
645	#2777	—	79	1	no	—
646	#2771	—	79	1	no	—
647	#2768	—	79	1	no	—
648	#2767	—	79	1	no	—
649	#2766	—	79	1	no	—
650	#2765	—	79	1	no	—
651	#2764	—	79	1	no	—
652	#2762	—	79	1	no	—
653	#2761	—	79	1	no	—
654	#2755	—	79	1	no	—
655	#2754	—	79	1	no	—
656	#2746	—	79	1	no	—
657	#2744	—	79	1	no	—
658	#2743	—	79	1	no	—
659	#2740	—	79	1	no	—
660	#2738	—	79	1	no	—
661	#2667	D₇₉	1	1	yes	characteristic, complemented
662	#2663	—	79	1	no	—
663	#2594	—	79	1	no	—
664	#2590	—	79	1	no	—
665	#2590	—	79	1	no	—
666	#2575	—	79	1	no	—
667	#2533	—	79	1	no	—
668	#2530	—	79	1	no	—
669	#2529	—	79	1	no	—
670	#2528	—	79	1	no	—
671	#2335	—	79	1	no	—
672	#2332	—	79	1	no	—
673	#2283	—	79	1	no	—
674	C₇₉	#36981	1	1	yes	characteristic, complemented, Sylow
675	C₂×#123	—	79	1	no	—
676	C₂×C₂²⋊Q₈	—	79	1	no	—
677	C₂²×C₄²	—	79	1	no	—
678	#401	—	79	1	no	—
679	#401	—	79	1	no	—
680	#400	—	79	1	no	—
681	#400	—	79	1	no	—
682	#400	—	79	1	no	—
683	#400	—	79	1	no	—
684	#400	—	79	1	no	—
685	#400	—	79	1	no	—
686	#400	—	79	1	no	—
687	#400	—	79	1	no	—
688	#400	—	79	1	no	—
689	#400	—	79	1	no	—
690	#400	—	79	1	no	—
691	#400	—	79	1	no	—
692	#400	—	79	1	no	—
693	#400	—	79	1	no	—
694	#399	—	79	1	no	—
695	#399	—	79	1	no	—
696	#399	C₂×D₇₉	1	1	yes	characteristic
697	#399	C₂×D₇₉	1	1	yes	characteristic
698	#398	—	79	1	no	—
699	#398	—	79	1	no	—
700	#398	—	79	1	no	—
701	#398	—	79	1	no	—
702	#398	—	79	1	no	—
703	#398	—	79	1	no	—
704	#398	—	79	1	no	—
705	#398	—	79	1	no	—
706	#398	—	79	1	no	—
707	#398	C₂×D₇₉	1	1	yes	characteristic
708	#398	C₂×D₇₉	1	1	yes	characteristic
709	#398	C₂×D₇₉	1	1	yes	characteristic
710	#398	C₂×D₇₉	1	1	yes	characteristic
711	#397	—	79	1	no	—
712	#397	—	79	1	no	—
713	#397	—	79	1	no	—
714	#397	—	79	1	no	—
715	#397	—	79	1	no	—
716	#397	—	79	1	no	—
717	#397	—	79	1	no	—
718	#396	—	79	1	no	—
719	#396	—	79	1	no	—
720	#396	C₂×D₇₉	1	1	yes	characteristic
721	#396	C₂×D₇₉	1	1	yes	characteristic
722	#395	—	79	1	no	—
723	#394	—	79	1	no	—
724	#394	—	79	1	no	—
725	#393	—	79	1	no	—
726	#391	—	79	1	no	—
727	#391	—	79	1	no	—
728	#391	—	79	1	no	—
729	#391	—	79	1	no	—
730	#390	—	79	1	no	—
731	#389	—	79	1	no	—
732	#389	—	79	1	no	—
733	#389	—	79	1	no	—
734	#389	—	79	1	no	—
735	#389	—	79	1	no	—
736	#389	—	79	1	no	—
737	#389	—	79	1	no	—
738	#389	—	79	1	no	—
739	#389	—	79	1	no	—
740	#389	C₂×D₇₉	1	1	yes	characteristic
741	#389	C₂×D₇₉	1	1	yes	characteristic
742	#388	—	79	1	no	—
743	#388	—	79	1	no	—
744	#388	—	79	1	no	—
745	#388	—	79	1	no	—
746	#388	—	79	1	no	—
747	#388	—	79	1	no	—
748	#388	—	79	1	no	—
749	#388	—	79	1	no	—
750	#388	—	79	1	no	—
751	#388	—	79	1	no	—
752	#388	—	79	1	no	—
753	#388	—	79	1	no	—
754	#388	—	79	1	no	—
755	#388	—	79	1	no	—
756	#388	—	79	1	no	—
757	#388	—	79	1	no	—
758	#388	—	79	1	no	—
759	#388	—	79	1	no	—
760	#387	—	79	1	no	—
761	#387	—	79	1	no	—
762	#387	—	79	1	no	—
763	#387	—	79	1	no	—
764	#387	—	79	1	no	—
765	#387	—	79	1	no	—
766	#387	—	79	1	no	—
767	#387	—	79	1	no	—
768	#387	—	79	1	no	—
769	#387	—	79	1	no	—
770	#387	—	79	1	no	—
771	#387	—	79	1	no	—
772	#387	—	79	1	no	—
773	#387	—	79	1	no	—
774	#387	—	79	1	no	—
775	#387	—	79	1	no	—
776	#387	—	79	1	no	—
777	#387	—	79	1	no	—
778	#387	—	79	1	no	—
779	#387	—	79	1	no	—
780	#387	—	79	1	no	—
781	#387	—	79	1	no	—
782	#387	—	79	1	no	—
783	#387	—	79	1	no	—
784	#387	—	79	1	no	—
785	#387	—	79	1	no	—
786	#387	—	79	1	no	—
787	#387	—	79	1	no	—
788	#387	—	79	1	no	—
789	#387	—	79	1	no	—
790	#387	C₂×D₇₉	1	1	yes	characteristic
791	#387	C₂×D₇₉	1	1	yes	characteristic
792	#386	—	79	1	no	—
793	#386	—	79	1	no	—
794	#386	—	79	1	no	—
795	#385	—	79	1	no	—
796	#385	—	79	1	no	—
797	#385	—	79	1	no	—
798	#385	—	79	1	no	—
799	#385	—	79	1	no	—
800	#385	—	79	1	no	—
801	#385	—	79	1	no	—
802	#383	—	79	1	no	—
803	#383	—	79	1	no	—
804	#383	—	79	1	no	—
805	#382	—	79	1	no	—
806	#382	—	79	1	no	—
807	#382	—	79	1	no	—
808	#382	—	79	1	no	—
809	#382	—	79	1	no	—
810	#381	—	79	1	no	—
811	#381	—	79	1	no	—
812	#381	—	79	1	no	—
813	#381	—	79	1	no	—
814	#381	—	79	1	no	—
815	#381	C₂×D₇₉	1	1	yes	characteristic
816	#380	—	79	1	no	—
817	#380	—	79	1	no	—
818	#380	—	79	1	no	—
819	#380	C₂×D₇₉	1	1	yes	characteristic
820	C₄×C₄⋊C₄	—	79	1	no	—
821	C₄×C₄⋊C₄	—	79	1	no	—
822	C₄×C₄⋊C₄	—	79	1	no	—
823	C₄×C₄⋊C₄	—	79	1	no	—
824	C₄×C₄⋊C₄	—	79	1	no	—
825	C₄×C₂²⋊C₄	—	79	1	no	—
826	C₄×C₂²⋊C₄	—	79	1	no	—
827	C₄×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
828	#376	—	79	1	no	—
829	#376	—	79	1	no	—
830	C₂²×Q₈	—	79	1	no	—
831	C₂²×D₄	—	79	1	no	—
832	C₂³×C₄	—	79	1	no	—
833	C₂³×C₄	—	79	1	no	—
834	C₂³×C₄	—	79	1	no	—
835	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
836	#123	—	158	4	no	—
837	C₂²⋊Q₈	—	158	4	no	—
838	C₂×C₄⋊C₄	—	79	1	no	—
839	C₂×C₄⋊C₄	—	79	1	no	—
840	C₂×C₄⋊C₄	—	79	1	no	—
841	C₂×C₄⋊C₄	—	79	1	no	—
842	C₂×C₄⋊C₄	—	79	1	no	—
843	C₂×C₄⋊C₄	—	79	1	no	—
844	C₂×C₄⋊C₄	—	79	1	no	—
845	C₂×C₄⋊C₄	—	79	1	no	—
846	C₂×C₄⋊C₄	—	79	1	no	—
847	C₂×C₄⋊C₄	—	79	1	no	—
848	C₂×C₄⋊C₄	—	79	1	no	—
849	C₂×C₄⋊C₄	—	79	1	no	—
850	C₂×C₄⋊C₄	—	79	1	no	—
851	C₂×C₄⋊C₄	—	79	1	no	—
852	C₂×C₄⋊C₄	—	79	1	no	—
853	C₂×C₄⋊C₄	—	79	1	no	—
854	C₂×C₄⋊C₄	—	79	1	no	—
855	C₂×C₄⋊C₄	—	79	1	no	—
856	C₂×C₄⋊C₄	—	79	1	no	—
857	C₂×C₄⋊C₄	—	79	1	no	—
858	C₂×C₄⋊C₄	—	79	1	no	—
859	C₂×C₄⋊C₄	—	79	1	no	—
860	C₂×C₄⋊C₄	—	79	1	no	—
861	C₂×C₄⋊C₄	—	79	1	no	—
862	C₂×C₄⋊C₄	—	79	1	no	—
863	C₂×C₄⋊C₄	—	79	1	no	—
864	C₂×C₄⋊C₄	—	79	1	no	—
865	C₂×C₄⋊C₄	—	79	1	no	—
866	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
868	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
869	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
872	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
880	C₂×C₂²⋊C₄	—	79	1	no	—
881	C₂×C₂²⋊C₄	—	79	1	no	—
882	C₂×C₂²⋊C₄	—	79	1	no	—
883	C₂×C₂²⋊C₄	—	79	1	no	—
884	C₂×C₂²⋊C₄	—	79	1	no	—
885	C₂×C₂²⋊C₄	—	79	1	no	—
886	C₂×C₂²⋊C₄	—	79	1	no	—
887	C₂×C₂²⋊C₄	—	79	1	no	—
888	C₂×C₂²⋊C₄	—	79	1	no	—
889	C₂×C₂²⋊C₄	—	79	1	no	—
890	C₂×C₂²⋊C₄	—	79	1	no	—
891	C₂×C₂²⋊C₄	—	79	1	no	—
892	C₂×C₂²⋊C₄	—	79	1	no	—
893	C₂×C₂²⋊C₄	—	79	1	no	—
894	C₂×C₂²⋊C₄	—	79	1	no	—
895	C₂×C₂²⋊C₄	—	79	1	no	—
896	C₂×C₂²⋊C₄	—	79	1	no	—
897	C₂×C₂²⋊C₄	—	79	1	no	—
898	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
900	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
902	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
903	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
904	C₂×C₄²	—	79	1	no	—
905	C₂×C₄²	—	79	1	no	—
906	C₂×C₄²	—	79	1	no	—
907	C₂×C₄²	—	79	1	no	—
908	C₂×C₄²	—	79	1	no	—
909	C₂×C₄²	—	79	1	no	—
910	C₂×C₄²	—	79	1	no	—
911	C₂×C₄²	—	79	1	no	—
912	C₂×C₄²	—	79	1	no	—
913	C₂×C₄²	—	79	1	no	—
914	C₂×C₄²	—	79	1	no	—
915	C₂×C₄²	—	79	1	no	—
916	C₂×C₄²	—	79	1	no	—
917	C₂×C₄²	—	158	4	no	—
918	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
919	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
920	#95	—	79	1	no	—
921	#95	—	79	1	no	—
922	#95	—	79	1	no	—
923	#95	—	79	1	no	—
924	#95	—	79	1	no	—
925	#95	—	79	1	no	—
926	#95	—	79	1	no	—
927	#95	—	79	1	no	—
928	#95	—	79	1	no	—
929	#95	—	79	1	no	—
930	#95	—	79	1	no	—
931	#95	—	79	1	no	—
932	#95	—	79	1	no	—
933	#95	—	79	1	no	—
934	#95	—	79	1	no	—
935	#95	—	79	1	no	—
936	#95	—	79	1	no	—
937	#95	—	79	1	no	—
938	#95	—	79	1	no	—
939	#95	—	79	1	no	—
940	#95	—	79	1	no	—
941	#95	—	79	1	no	—
942	#95	—	79	1	no	—
943	#95	—	79	1	no	—
944	#95	—	79	1	no	—
945	#95	—	79	1	no	—
946	#95	—	79	1	no	—
947	#95	—	79	1	no	—
948	#95	—	79	1	no	—
949	#95	—	79	1	no	—
950	#95	—	79	1	no	—
951	#95	—	79	1	no	—
952	#95	—	79	1	no	—
953	#95	—	79	1	no	—
954	#95	—	79	1	no	—
955	#95	—	79	1	no	—
956	#95	—	79	1	no	—
957	#95	—	79	1	no	—
958	#95	—	79	1	no	—
959	#95	—	79	1	no	—
960	#95	—	79	1	no	—
961	#95	—	79	1	no	—
962	#95	—	79	1	no	—
963	#95	—	79	1	no	—
964	#95	—	79	1	no	—
965	#95	—	79	1	no	—
966	#95	—	79	1	no	—
967	#95	—	79	1	no	—
968	#95	—	79	1	no	—
969	#95	—	79	1	no	—
970	#95	—	79	1	no	—
971	#95	—	79	1	no	—
972	#95	—	79	1	no	—
973	#95	—	79	1	no	—
974	#95	—	79	1	no	—
975	#95	—	79	1	no	—
976	#95	C₂²×D₇₉	1	1	yes	characteristic
977	#95	C₂²×D₇₉	1	1	yes	characteristic
978	#95	C₂²×D₇₉	1	1	yes	characteristic
979	#95	C₂²×D₇₉	1	1	yes	characteristic
980	#95	C₂²×D₇₉	1	1	yes	characteristic
981	#95	C₂²×D₇₉	1	1	yes	characteristic
982	#95	C₂²×D₇₉	1	1	yes	characteristic
983	#95	C₂²×D₇₉	1	1	yes	characteristic
984	#95	C₂²×D₇₉	1	1	yes	characteristic
985	#95	C₂²×D₇₉	1	1	yes	characteristic
986	#95	C₂²×D₇₉	1	1	yes	characteristic
987	#95	C₂²×D₇₉	1	1	yes	characteristic
988	C₂⁴	—	79	1	no	—
989	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
990	C₂×Q₈	—	316	1	no	—
991	C₂×Q₈	—	316	1	no	—
992	C₂×Q₈	—	158	2	no	—
993	C₂×D₄	—	316	1	no	—
994	C₂×D₄	—	316	1	no	—
995	C₂×D₄	—	158	2	no	—
996	C₂²×C₄	—	4	1	no	—
997	C₂²×C₄	—	4	1	no	—
998	C₂²×C₄	—	316	1	no	—
999	C₂²×C₄	—	316	1	no	—
1000	C₂²×C₄	—	316	1	no	—
1001	C₂²×C₄	—	316	1	no	—
1002	C₂²×C₄	—	316	1	no	—
1003	C₂²×C₄	—	316	1	no	—
1004	C₂²×C₄	—	79	1	no	—
1005	C₂²×C₄	—	79	1	no	—
1006	C₂²×C₄	—	79	1	no	—
1007	C₂²×C₄	—	79	1	no	—
1008	C₂²×C₄	—	79	1	no	—
1009	C₂²×C₄	—	79	1	no	—
1010	C₂²×C₄	—	79	1	no	—
1011	C₂²×C₄	—	79	1	no	—
1012	C₂²×C₄	—	79	1	no	—
1013	C₂²×C₄	—	79	1	no	—
1014	C₂²×C₄	—	79	1	no	—
1015	C₂²×C₄	—	79	1	no	—
1016	C₂²×C₄	—	79	1	no	—
1017	C₂²×C₄	—	79	1	no	—
1018	C₂²×C₄	—	79	1	no	—
1019	C₂²×C₄	—	158	2	no	—
1020	C₂²×C₄	—	158	2	no	—
1021	C₂²×C₄	—	158	2	no	—
1022	C₂²×C₄	#11929625	1	4	yes	—
1023	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1024	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1027	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1028	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1029	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1030	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1031	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1032	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1033	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1034	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1035	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1036	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1037	C₄⋊C₄	—	4	1	no	—
1038	C₄⋊C₄	—	4	1	no	—
1039	C₄⋊C₄	—	4	1	no	—
1040	C₄⋊C₄	—	4	1	no	—
1041	C₄⋊C₄	—	4	1	no	—
1042	C₄⋊C₄	—	4	1	no	—
1043	C₄⋊C₄	—	4	1	no	—
1044	C₄⋊C₄	—	4	1	no	—
1045	C₄⋊C₄	—	4	1	no	—
1046	C₄⋊C₄	—	4	1	no	—
1047	C₄⋊C₄	—	4	1	no	—
1048	C₄⋊C₄	—	4	1	no	—
1049	C₄⋊C₄	—	4	1	no	—
1050	C₄⋊C₄	—	4	1	no	—
1051	C₄⋊C₄	—	316	1	no	—
1052	C₄⋊C₄	—	316	1	no	—
1053	C₄⋊C₄	—	316	1	no	—
1054	C₄⋊C₄	—	316	1	no	—
1055	C₄⋊C₄	—	316	1	no	—
1056	C₄⋊C₄	—	316	1	no	—
1057	C₄⋊C₄	—	316	1	no	—
1058	C₄⋊C₄	—	316	1	no	—
1059	C₄⋊C₄	—	316	1	no	—
1060	C₄⋊C₄	—	316	1	no	—
1061	C₄⋊C₄	—	316	1	no	—
1062	C₄⋊C₄	—	316	1	no	—
1063	C₄⋊C₄	—	316	1	no	—
1064	C₄⋊C₄	—	316	1	no	—
1065	C₄⋊C₄	—	316	1	no	—
1066	C₄⋊C₄	—	316	1	no	—
1067	C₄⋊C₄	—	316	1	no	—
1068	C₄⋊C₄	—	316	1	no	—
1069	C₄⋊C₄	—	316	1	no	—
1070	C₄⋊C₄	—	316	1	no	—
1071	C₄⋊C₄	—	158	2	no	—
1072	C₄⋊C₄	—	158	2	no	—
1073	C₄⋊C₄	—	158	2	no	—
1074	C₄⋊C₄	—	158	2	no	—
1075	C₄⋊C₄	—	158	2	no	—
1076	C₄⋊C₄	—	158	2	no	—
1077	C₄⋊C₄	—	158	2	no	—
1078	C₄⋊C₄	—	158	2	no	—
1079	C₂²⋊C₄	—	4	1	no	—
1080	C₂²⋊C₄	—	4	1	no	—
1081	C₂²⋊C₄	—	4	1	no	—
1082	C₂²⋊C₄	—	4	1	no	—
1083	C₂²⋊C₄	—	4	1	no	—
1084	C₂²⋊C₄	—	4	1	no	—
1085	C₂²⋊C₄	—	316	1	no	—
1086	C₂²⋊C₄	—	316	1	no	—
1087	C₂²⋊C₄	—	316	1	no	—
1088	C₂²⋊C₄	—	316	1	no	—
1089	C₂²⋊C₄	—	316	1	no	—
1090	C₂²⋊C₄	—	316	1	no	—
1091	C₂²⋊C₄	—	316	1	no	—
1092	C₂²⋊C₄	—	316	1	no	—
1093	C₂²⋊C₄	—	316	1	no	—
1094	C₂²⋊C₄	—	316	1	no	—
1095	C₂²⋊C₄	—	316	1	no	—
1096	C₂²⋊C₄	—	316	1	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	—	158	2	no	—
1102	C₂²⋊C₄	—	158	2	no	—
1103	C₄²	—	4	1	no	—
1104	C₄²	—	4	1	no	—
1105	C₄²	—	316	1	no	—
1106	C₄²	—	316	1	no	—
1107	C₄²	—	316	1	no	—
1108	C₄²	—	316	1	no	—
1109	C₄²	—	316	1	no	—
1110	C₄²	—	316	1	no	—
1111	C₄²	—	316	1	no	—
1112	C₄²	—	316	1	no	—
1113	C₄²	—	316	1	no	—
1114	C₄²	—	158	2	no	—
1115	C₄²	—	158	2	no	—
1116	C₄²	—	158	2	no	—
1117	C₄²	—	158	2	no	—
1118	C₂³	—	2	1	no	—
1119	C₂³	—	2	1	no	—
1120	C₂³	—	2	1	no	—
1121	C₂³	—	2	1	no	—
1122	C₂³	—	2	1	no	—
1123	C₂³	—	2	1	no	—
1124	C₂³	—	158	1	no	—
1125	C₂³	—	158	1	no	—
1126	C₂³	—	158	1	no	—
1127	C₂³	—	158	1	no	—
1128	C₂³	—	158	1	no	—
1129	C₂³	—	158	1	no	—
1130	C₂³	—	158	1	no	—
1131	C₂³	C₂×#11929625	1	2	yes	—
1132	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1133	Q₈	—	632	2	no	—
1134	D₄	—	632	2	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	4	4	no	—
1176	C₂×C₄	—	316	4	no	—
1177	C₂×C₄	—	316	4	no	—
1178	C₂×C₄	—	79	2	no	—
1179	C₂×C₄	—	632	2	no	—
1180	C₂×C₄	—	158	1	no	—
1181	C₂×C₄	—	158	1	no	—
1182	C₂×C₄	—	158	1	no	—
1183	C₂×C₄	—	158	1	no	—
1184	C₂×C₄	—	158	1	no	—
1185	C₂×C₄	—	158	1	no	—
1186	C₂×C₄	—	158	1	no	—
1187	C₂×C₄	—	158	1	no	—
1188	C₂×C₄	—	158	1	no	—
1189	C₂×C₄	—	158	1	no	—
1190	C₂×C₄	—	158	1	no	—
1191	C₂×C₄	—	158	1	no	—
1192	C₂×C₄	—	158	1	no	—
1193	C₂×C₄	—	158	1	no	—
1194	C₂×C₄	—	158	1	no	—
1195	C₂×C₄	—	158	1	no	—
1196	C₂×C₄	—	158	1	no	—
1197	C₂×C₄	—	158	1	no	—
1198	C₂×C₄	—	158	1	no	—
1199	C₂×C₄	—	158	1	no	—
1200	C₂×C₄	—	158	1	no	—
1201	C₂×C₄	—	158	1	no	—
1202	C₂×C₄	—	158	1	no	—
1203	C₂×C₄	—	158	1	no	—
1204	C₂×C₄	—	158	1	no	—
1205	C₂×C₄	—	158	1	no	—
1206	C₂×C₄	—	158	1	no	—
1207	C₂×C₄	—	158	1	no	—
1208	C₂×C₄	—	158	1	no	—
1209	C₂×C₄	—	158	1	no	—
1210	C₂×C₄	—	158	1	no	—
1211	C₂×C₄	—	158	1	no	—
1212	C₂×C₄	—	158	1	no	—
1213	C₂×C₄	—	158	1	no	—
1214	C₂×C₄	—	158	1	no	—
1215	C₂×C₄	—	158	1	no	—
1216	C₂×C₄	—	158	1	no	—
1217	C₂×C₄	—	158	1	no	—
1218	C₂×C₄	—	158	1	no	—
1219	C₂×C₄	—	158	1	no	—
1220	C₂×C₄	—	158	1	no	—
1221	C₂×C₄	—	158	1	no	—
1222	C₂×C₄	—	158	1	no	—
1223	C₂×C₄	—	158	1	no	—
1224	C₂×C₄	C₂×#11929625	1	2	yes	—
1225	C₂×C₄	C₂×#11929625	1	2	yes	—
1226	C₂²	—	2	2	no	—
1227	C₂²	—	2	2	no	—
1228	C₂²	—	2	2	no	—
1229	C₂²	—	4	1	no	—
1230	C₂²	—	4	1	no	—
1231	C₂²	—	4	1	no	—
1232	C₂²	—	4	1	no	—
1233	C₂²	—	316	1	no	—
1234	C₂²	—	316	1	no	—
1235	C₂²	—	316	1	no	—
1236	C₂²	—	316	1	no	—
1237	C₂²	—	316	1	no	—
1238	C₂²	—	316	1	no	—
1239	C₂²	—	316	1	no	—
1240	C₂²	C₂²×#11929625	1	1	yes	characteristic
1241	C₂²	2₋¹⁺⁴×D₇₉	1	1	yes	characteristic
1242	C₂²	#19099398	1	1	yes	characteristic
1243	C₂²	#19099398	1	1	yes	characteristic
1244	C₂²	#19099398	1	1	yes	characteristic
1245	C₂²	#19099399	1	1	yes	characteristic
1246	C₂²	#19099399	1	1	yes	characteristic
1247	C₄	—	2	2	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	4	1	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	316	1	no	—
1262	C₄	—	316	1	no	—
1263	C₄	—	316	1	no	—
1264	C₄	—	316	1	no	—
1265	C₄	—	316	1	no	—
1266	C₄	—	316	1	no	—
1267	C₄	—	316	1	no	—
1268	C₄	—	316	1	no	—
1269	C₄	—	316	1	no	—
1270	C₄	—	316	1	no	—
1271	C₄	—	316	1	no	—
1272	C₄	—	316	1	no	—
1273	C₄	—	316	1	no	—
1274	C₄	—	316	1	no	—
1275	C₄	—	158	2	no	—
1276	C₂	—	4	2	no	—
1277	C₂	—	632	1	no	—
1278	C₂	#23776792	1	1	yes	characteristic
1279	C₂	#23777099	1	1	yes	characteristic
1280	C₂	#23777155	1	1	yes	characteristic
1281	C₂	#23777904	1	1	yes	characteristic
1282	C₂	#23778044	1	1	yes	characteristic
1283	C₂	#23778072	1	1	yes	characteristic
1284	C₂	#23778085	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₉
commutator, socle, cosocle	C₂³×C₇₉	C₂⁵
Fitting	C₇₉×#2667	C₂
prime radical	C₂²×C₂²⋊D₇₉	C₂³
hypercenter	#2667	D₇₉
hypocenter	C₇₉	#36981
LCS	G ▷ C₂³×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ #2667

Complements

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

N	H ≅ G/N	type
1. #23771740	C₂	semidirect
3. #23771009	C₂	semidirect
4. #23770920	C₂	semidirect
5. #23770886	C₂	semidirect
6. #23770871	C₂	semidirect
7. #23770855	C₂	semidirect
8. #23770841	C₂	semidirect
9. #23770819	C₂	semidirect
10. #23770795	C₂	semidirect
12. #23770713	C₂	semidirect
13. #23770698	C₂	semidirect
15. #23770560	C₂	semidirect
18. #23770476	C₂	semidirect
20. #23768913	C₂	semidirect
21. #23768873	C₂	semidirect
22. #23768873	C₂	semidirect
23. #23768696	C₂	semidirect
24. #23768284	C₂	semidirect
25. #23768239	C₂	semidirect
26. #23768224	C₂	semidirect
27. #23768209	C₂	semidirect
29. #23766153	C₂	semidirect
30. #23765794	C₂	semidirect
31. C₇₉×#2667	C₂	semidirect
661. #2667	D₇₉	semidirect
674. C₇₉	#36981	semidirect

Maximal subgroups

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

subgroup	index
#23771740	2
#23771723	2
#23771009	2
#23770920	2
#23770886	2
#23770871	2
#23770855	2
#23770841	2
#23770819	2
#23770795	2
#23770793	2
#23770713	2
#23770698	2
#23770590	2
#23770560	2
#23770546	2
#23770506	2
#23770476	2
#23769548	2
#23768913	2
#23768873	2
#23768696	2
#23768284	2
#23768239	2
#23768224	2
#23768209	2
#23766186	2
#23766153	2
#23765794	2
C₇₉×#2667	2
#36981	79