Subgroups — #34498334

Order 20224.

1526 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23771722	C₂	1	1	yes	maximal, characteristic, complemented
2	#23771722	C₂	1	1	yes	maximal, characteristic, complemented
3	#23771313	C₂	1	1	yes	maximal, characteristic, complemented
4	#23771305	C₂	1	1	yes	maximal, characteristic, complemented
5	#23771179	C₂	1	1	yes	maximal, characteristic, complemented
6	#23771167	C₂	1	1	yes	maximal, characteristic, complemented
7	#23771027	C₂	1	1	yes	maximal, characteristic, complemented
8	#23770925	C₂	1	1	yes	maximal, characteristic, complemented
9	#23770883	C₂	1	1	yes	maximal, characteristic, complemented
10	#23770839	C₂	1	1	yes	maximal, characteristic, complemented
11	#23770838	C₂	1	1	yes	maximal, characteristic, complemented
12	#23770835	C₂	1	1	yes	maximal, characteristic, complemented
13	#23770791	C₂	1	1	yes	maximal, characteristic, complemented
14	#23770642	C₂	1	1	yes	maximal, characteristic, complemented
15	#23770254	C₂	1	1	yes	maximal, characteristic, complemented
16	#23770250	C₂	1	1	yes	maximal, characteristic, complemented
17	#23770122	C₂	1	1	yes	maximal, characteristic
18	#23770014	C₂	1	1	yes	maximal, characteristic
19	#23769487	C₂	1	1	yes	maximal, characteristic, complemented
20	#23769427	C₂	1	1	yes	maximal, characteristic, complemented
21	#23769072	C₂	1	1	yes	maximal, characteristic, complemented
22	#23768997	C₂	1	1	yes	maximal, characteristic, complemented
23	#23768991	C₂	1	1	yes	maximal, characteristic, complemented
24	#23768900	C₂	1	1	yes	maximal, characteristic, complemented
25	#23768683	C₂	1	1	yes	maximal, characteristic, complemented
26	#23768628	C₂	1	1	yes	maximal, characteristic, complemented
27	#23767610	C₂	1	1	yes	maximal, characteristic, complemented
28	#23767580	C₂	1	1	yes	maximal, characteristic
29	#23766175	C₂	1	1	yes	maximal, characteristic, complemented
30	#23766005	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₉×#2296	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14579155	C₂²	1	1	yes	characteristic
33	C₂×#14579154	C₂²	1	1	yes	characteristic
34	C₂×#14579144	C₂²	1	1	yes	characteristic
35	C₂×#14579144	C₂²	1	1	yes	characteristic
36	C₂×#14579134	C₂²	1	1	yes	characteristic
37	C₂×#14579118	C₂²	1	1	yes	characteristic
38	C₇₉⋊#401	C₂²	1	1	yes	characteristic
39	C₇₉⋊#401	C₂²	1	1	yes	characteristic
40	#19098505	C₂²	1	1	yes	characteristic
41	#19098505	C₂²	1	1	yes	characteristic
42	#19098505	C₂²	1	1	yes	characteristic
43	#19098504	C₂²	1	1	yes	characteristic
44	#19098504	C₂²	1	1	yes	characteristic
45	#19098503	C₂²	1	1	yes	characteristic
46	#19098501	C₂²	1	1	yes	characteristic
47	#19098501	C₂²	1	1	yes	characteristic
48	#19098498	C₂²	1	1	yes	characteristic
49	#19098498	C₂²	1	1	yes	characteristic
50	#19098497	C₂²	1	1	yes	characteristic
51	#19098497	C₂²	1	1	yes	characteristic
52	#19098497	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	#19098494	C₂²	1	1	yes	characteristic
60	#19098494	C₂²	1	1	yes	characteristic
61	#19098493	C₂²	1	1	yes	characteristic
62	#19098493	C₂²	1	1	yes	characteristic
63	#19098493	C₂²	1	1	yes	characteristic
64	#19098492	C₂²	1	1	yes	characteristic
65	#19098492	C₂²	1	1	yes	characteristic
66	#19098491	C₂²	1	1	yes	characteristic
67	#19098491	C₂²	1	1	yes	characteristic
68	#19098489	C₂²	1	1	yes	characteristic
69	#19098489	C₂²	1	1	yes	characteristic
70	#19098487	C₂²	1	1	yes	characteristic
71	#19098487	C₂²	1	1	yes	characteristic
72	#19098486	C₂²	1	1	yes	characteristic
73	#19098486	C₂²	1	1	yes	characteristic
74	#19098485	C₂²	1	1	yes	characteristic
75	#19098485	C₂²	1	1	yes	characteristic
76	#19098485	C₂²	1	1	yes	characteristic
77	#19098485	C₂²	1	1	yes	characteristic
78	#19098481	C₂²	1	1	yes	characteristic
79	#19098480	C₂²	1	1	yes	characteristic
80	#19098480	C₂²	1	1	yes	characteristic
81	#19098480	C₂²	1	1	yes	characteristic
82	#19098479	C₂²	1	1	yes	characteristic
83	#19098479	C₂²	1	1	yes	characteristic
84	#19098478	C₂²	1	1	yes	characteristic
85	#19098478	C₂²	1	1	yes	characteristic
86	#19098465	C₂²	1	1	yes	characteristic
87	#19098463	C₂²	1	1	yes	characteristic
88	#19098461	C₂²	1	1	yes	characteristic
89	#19098460	C₂²	1	1	yes	characteristic
90	#19098459	C₂²	1	1	yes	characteristic
91	#19098459	C₂²	1	1	yes	characteristic
92	#19098458	C₂²	1	1	yes	characteristic
93	#19098458	C₂²	1	1	yes	characteristic
94	#19098458	C₂²	1	1	yes	characteristic
95	#19098458	C₂²	1	1	yes	characteristic
96	#19098457	C₂²	1	1	yes	characteristic
97	#19098456	C₂²	1	1	yes	characteristic
98	#19098456	C₂²	1	1	yes	characteristic
99	#19098455	C₂²	1	1	yes	characteristic
100	#19098455	C₂²	1	1	yes	characteristic
101	#19098454	C₂²	1	1	yes	characteristic
102	#19098454	C₂²	1	1	yes	characteristic
103	#19098454	C₂²	1	1	yes	characteristic
104	#19098454	C₂²	1	1	yes	characteristic
105	#19098454	C₂²	1	1	yes	characteristic
106	#19098454	C₂²	1	1	yes	characteristic
107	#19098454	C₂²	1	1	yes	characteristic
108	#19098454	C₂²	1	1	yes	characteristic
109	#19098454	C₂²	1	1	yes	characteristic
110	#19098454	C₂²	1	1	yes	characteristic
111	#19098454	C₂²	1	1	yes	characteristic
112	#19098453	C₂²	1	1	yes	characteristic
113	#19098453	C₂²	1	1	yes	characteristic
114	#19098453	C₂²	1	1	yes	characteristic
115	#19098453	C₂²	1	1	yes	characteristic
116	#19098452	C₂²	1	1	yes	characteristic
117	#19098452	C₂²	1	1	yes	characteristic
118	#19098452	C₂²	1	1	yes	characteristic
119	#19098451	C₂²	1	1	yes	characteristic
120	#19098450	C₂²	1	1	yes	characteristic
121	#19098448	C₂²	1	1	yes	characteristic
122	#19098447	C₂²	1	1	yes	characteristic
123	#19098447	C₂²	1	1	yes	characteristic
124	#19098447	C₂²	1	1	yes	characteristic
125	#19098447	C₂²	1	1	yes	characteristic
126	#19098447	C₂²	1	1	yes	characteristic
127	#19098447	C₂²	1	1	yes	characteristic
128	#19098447	C₂²	1	1	yes	characteristic
129	#19098447	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	#19098447	C₂²	1	1	yes	characteristic
135	#19098445	C₂²	1	1	yes	characteristic
136	#19098445	C₂²	1	1	yes	characteristic
137	#19098445	C₂²	1	1	yes	characteristic
138	#19098444	C₂²	1	1	yes	characteristic
139	#19098444	C₂²	1	1	yes	characteristic
140	#19098444	C₂²	1	1	yes	characteristic
141	#19098444	C₂²	1	1	yes	characteristic
142	#19098442	C₂²	1	1	yes	characteristic
143	#19098442	C₂²	1	1	yes	characteristic
144	#19098442	C₂²	1	1	yes	characteristic
145	#19098442	C₂²	1	1	yes	characteristic
146	#19098441	C₂²	1	1	yes	characteristic
147	#19098439	C₂²	1	1	yes	characteristic
148	#19098437	C₂²	1	1	yes	characteristic
149	#19098437	C₂²	1	1	yes	characteristic
150	#19098436	C₂²	1	1	yes	characteristic
151	#19098436	C₂²	1	1	yes	characteristic
152	#19098436	C₂²	1	1	yes	characteristic
153	#19098436	C₂²	1	1	yes	characteristic
154	#19098434	C₂²	1	1	yes	characteristic
155	#19098434	C₂²	1	1	yes	characteristic
156	#19098434	C₂²	1	1	yes	characteristic
157	#19098434	C₂²	1	1	yes	characteristic
158	#19098432	C₂²	1	1	yes	characteristic
159	#19098432	C₂²	1	1	yes	characteristic
160	#19098429	C₂²	1	1	yes	characteristic
161	#19098428	C₂²	1	1	yes	characteristic
162	#19098428	C₂²	1	1	yes	characteristic
163	#19098427	C₂²	1	1	yes	characteristic
164	#19098426	C₂²	1	1	yes	characteristic
165	#19098426	C₂²	1	1	yes	characteristic
166	#19098425	C₂²	1	1	yes	characteristic
167	#19098420	C₂²	1	1	yes	characteristic
168	#19098420	C₂²	1	1	yes	characteristic
169	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
171	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
172	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic
173	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic
174	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic
175	#389×C₇₉	C₂²	1	1	yes	characteristic
176	#389×C₇₉	C₂²	1	1	yes	characteristic
177	#389×C₇₉	C₂²	1	1	yes	characteristic
178	#389×C₇₉	C₂²	1	1	yes	characteristic
179	#385×C₇₉	C₂²	1	1	yes	characteristic
180	#385×C₇₉	C₂²	1	1	yes	characteristic
181	#385×C₇₉	C₂²	1	1	yes	characteristic
182	#385×C₇₉	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
187	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
192	#14579155	—	2	4	no	—
193	#14579154	—	4	2	no	—
194	#14579144	—	4	2	no	—
195	#14579144	—	4	2	no	—
196	#14579134	—	4	2	no	—
197	#14579118	—	2	4	no	—
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×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×Dic₇₉⋊C₄	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×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₇₉	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×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₇₉	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	C₇₉⋊#95	C₂³	1	1	yes	characteristic
311	C₇₉⋊#95	C₂³	1	1	yes	characteristic
312	C₇₉⋊#95	C₂³	1	1	yes	characteristic
313	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
314	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
315	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
316	#117×C₇₉	—	2	4	no	—
317	#117×C₇₉	—	4	2	no	—
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×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₇₉	—	4	2	no	—
335	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
343	#95×C₇₉	C₂³	1	1	yes	characteristic
344	#95×C₇₉	C₂³	1	1	yes	characteristic
345	#95×C₇₉	C₂³	1	1	yes	characteristic
346	#95×C₇₉	C₂³	1	1	yes	characteristic
347	#95×C₇₉	C₂³	1	1	yes	characteristic
348	#95×C₇₉	C₂³	1	1	yes	characteristic
349	#95×C₇₉	C₂³	1	1	yes	characteristic
350	#95×C₇₉	C₂³	1	1	yes	characteristic
351	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
352	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
353	C₂×D₃₁₆	—	4	1	no	—
354	C₂×D₃₁₆	—	4	1	no	—
355	C₂×D₃₁₆	—	4	1	no	—
356	C₂×C₂²⋊D₇₉	—	2	2	no	—
357	C₂×C₂²⋊D₇₉	—	2	2	no	—
358	C₂×C₂²⋊D₇₉	—	4	1	no	—
359	C₂×C₂²⋊D₇₉	—	4	1	no	—
360	C₂×C₂²⋊D₇₉	—	4	1	no	—
361	C₂×C₂²⋊D₇₉	—	4	1	no	—
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	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
376	C₂×C₄×D₇₉	—	2	2	no	—
377	C₂×C₄×D₇₉	—	4	1	no	—
378	C₂×C₄×D₇₉	—	4	1	no	—
379	C₂×C₄×D₇₉	—	4	1	no	—
380	C₂×C₄×D₇₉	—	4	1	no	—
381	C₂×C₄×D₇₉	—	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	—	2	2	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	Dic₇₉⋊C₄	—	4	1	no	—
405	Dic₇₉⋊C₄	—	4	1	no	—
406	Dic₇₉⋊C₄	—	4	1	no	—
407	Dic₇₉⋊C₄	—	4	1	no	—
408	Dic₇₉⋊C₄	—	4	1	no	—
409	Dic₇₉⋊C₄	—	4	1	no	—
410	Dic₇₉⋊C₄	—	4	1	no	—
411	Dic₇₉⋊C₄	—	4	1	no	—
412	Dic₇₉⋊C₄	—	4	1	no	—
413	Dic₇₉⋊C₄	—	4	1	no	—
414	Dic₇₉⋊C₄	—	4	1	no	—
415	C₂²⋊Dic₇₉	—	2	2	no	—
416	C₂²⋊Dic₇₉	—	2	2	no	—
417	C₂²⋊Dic₇₉	—	4	1	no	—
418	C₂²⋊Dic₇₉	—	4	1	no	—
419	C₂²⋊Dic₇₉	—	4	1	no	—
420	C₂²⋊Dic₇₉	—	4	1	no	—
421	(C₂×D₇₉)⋊C₄	—	2	2	no	—
422	(C₂×D₇₉)⋊C₄	—	2	2	no	—
423	(C₂×D₇₉)⋊C₄	—	2	2	no	—
424	(C₂×D₇₉)⋊C₄	—	2	2	no	—
425	(C₂×D₇₉)⋊C₄	—	2	2	no	—
426	(C₂×D₇₉)⋊C₄	—	2	2	no	—
427	(C₂×D₇₉)⋊C₄	—	2	2	no	—
428	(C₂×D₇₉)⋊C₄	—	4	1	no	—
429	(C₂×D₇₉)⋊C₄	—	4	1	no	—
430	(C₂×D₇₉)⋊C₄	—	4	1	no	—
431	(C₂×D₇₉)⋊C₄	—	4	1	no	—
432	(C₂×D₇₉)⋊C₄	—	4	1	no	—
433	(C₂×D₇₉)⋊C₄	—	4	1	no	—
434	(C₂×D₇₉)⋊C₄	—	4	1	no	—
435	(C₂×D₇₉)⋊C₄	—	4	1	no	—
436	(C₂×D₇₉)⋊C₄	—	4	1	no	—
437	(C₂×D₇₉)⋊C₄	—	4	1	no	—
438	(C₂×D₇₉)⋊C₄	—	4	1	no	—
439	(C₂×D₇₉)⋊C₄	—	4	1	no	—
440	(C₂×D₇₉)⋊C₄	—	4	1	no	—
441	(C₂×D₇₉)⋊C₄	—	4	1	no	—
442	(C₂×D₇₉)⋊C₄	—	4	1	no	—
443	(C₂×D₇₉)⋊C₄	—	4	1	no	—
444	(C₂×D₇₉)⋊C₄	—	4	1	no	—
445	C₄×Dic₇₉	—	2	2	no	—
446	C₄×Dic₇₉	—	4	1	no	—
447	C₄×Dic₇₉	—	4	1	no	—
448	C₄×Dic₇₉	—	4	1	no	—
449	C₄×Dic₇₉	—	4	1	no	—
450	C₄×Dic₇₉	—	4	1	no	—
451	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₇₉	—	2	2	no	—
453	C₂²×C₄×C₇₉	—	2	2	no	—
454	C₂²×C₄×C₇₉	—	2	2	no	—
455	C₂²×C₄×C₇₉	—	2	2	no	—
456	C₂²×C₄×C₇₉	—	2	2	no	—
457	C₂²×C₄×C₇₉	—	4	1	no	—
458	C₂²×C₄×C₇₉	—	4	1	no	—
459	C₂²×C₄×C₇₉	—	4	1	no	—
460	C₂²×C₄×C₇₉	—	4	1	no	—
461	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
475	C₄⋊C₄×C₇₉	—	2	2	no	—
476	C₄⋊C₄×C₇₉	—	2	2	no	—
477	C₄⋊C₄×C₇₉	—	4	1	no	—
478	C₄⋊C₄×C₇₉	—	4	1	no	—
479	C₄⋊C₄×C₇₉	—	4	1	no	—
480	C₄⋊C₄×C₇₉	—	4	1	no	—
481	C₄⋊C₄×C₇₉	—	4	1	no	—
482	C₄⋊C₄×C₇₉	—	4	1	no	—
483	C₄⋊C₄×C₇₉	—	4	1	no	—
484	C₄⋊C₄×C₇₉	—	4	1	no	—
485	C₄⋊C₄×C₇₉	—	4	1	no	—
486	C₄⋊C₄×C₇₉	—	4	1	no	—
487	C₂²⋊C₄×C₇₉	—	2	2	no	—
488	C₂²⋊C₄×C₇₉	—	2	2	no	—
489	C₂²⋊C₄×C₇₉	—	2	2	no	—
490	C₂²⋊C₄×C₇₉	—	2	2	no	—
491	C₄²×C₇₉	—	2	2	no	—
492	C₄²×C₇₉	—	4	1	no	—
493	C₄²×C₇₉	—	4	1	no	—
494	C₄²×C₇₉	—	4	1	no	—
495	C₄²×C₇₉	—	4	1	no	—
496	C₄²×C₇₉	—	4	1	no	—
497	C₄²×C₇₉	—	4	1	no	—
498	C₄²×C₇₉	#41	1	4	yes	—
499	C₂³×C₇₉	—	2	1	no	—
500	C₂³×C₇₉	—	2	1	no	—
501	C₂³×C₇₉	—	2	1	no	—
502	C₂³×C₇₉	—	2	1	no	—
503	C₂³×C₇₉	—	2	1	no	—
504	C₂³×C₇₉	—	2	1	no	—
505	C₂³×C₇₉	H(5,𝔽₂)	1	2	yes	—
506	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
507	C₂²×D₇₉	—	2	1	no	—
508	C₂²×D₇₉	—	2	1	no	—
509	C₂²×D₇₉	—	2	1	no	—
510	C₂²×D₇₉	—	2	1	no	—
511	C₂²×D₇₉	—	2	1	no	—
512	C₂²×D₇₉	—	2	1	no	—
513	C₂²×D₇₉	—	2	1	no	—
514	C₂²×D₇₉	—	2	1	no	—
515	C₂²×D₇₉	—	2	1	no	—
516	C₂²×D₇₉	—	2	1	no	—
517	C₂²×D₇₉	—	2	1	no	—
518	C₂²×D₇₉	—	2	1	no	—
519	C₂²×D₇₉	—	2	1	no	—
520	C₂²×D₇₉	—	2	1	no	—
521	C₂×C₄×C₇₉	—	2	8	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	—	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	—	4	4	no	—
561	C₂×C₄×C₇₉	—	4	4	no	—
562	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
563	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
564	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
565	C₂×C₄×C₇₉	2₋¹⁺⁴	1	2	yes	—
566	C₂²⋊D₇₉	—	8	2	no	—
567	C₂²⋊D₇₉	—	8	2	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	—	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	D₃₁₆	—	8	2	no	—
611	C₄×D₇₉	—	4	4	no	—
612	C₄×D₇₉	—	8	2	no	—
613	C₂²×C₇₉	—	2	2	no	—
614	C₂²×C₇₉	—	2	2	no	—
615	C₂²×C₇₉	—	2	2	no	—
616	C₂²×C₇₉	—	4	1	no	—
617	C₂²×C₇₉	—	4	1	no	—
618	C₂²×C₇₉	—	4	1	no	—
619	C₂²×C₇₉	—	4	1	no	—
620	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
621	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
622	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
623	C₂²×C₇₉	#585	1	1	yes	characteristic
624	C₂²×C₇₉	#585	1	1	yes	characteristic
625	C₂²×C₇₉	#585	1	1	yes	characteristic
626	C₂²×C₇₉	#585	1	1	yes	characteristic
627	C₂×D₇₉	—	4	1	no	—
628	C₂×D₇₉	—	4	1	no	—
629	C₂×D₇₉	—	4	1	no	—
630	C₂×D₇₉	—	4	1	no	—
631	C₂×D₇₉	—	4	1	no	—
632	C₂×D₇₉	—	4	1	no	—
633	C₂×D₇₉	—	4	1	no	—
634	C₂×D₇₉	—	4	1	no	—
635	C₂×D₇₉	—	4	1	no	—
636	C₂×D₇₉	—	4	1	no	—
637	C₂×D₇₉	—	4	1	no	—
638	C₂×D₇₉	—	4	1	no	—
639	C₂×D₇₉	—	4	1	no	—
640	C₂×D₇₉	—	4	1	no	—
641	C₄×C₇₉	—	2	2	no	—
642	C₄×C₇₉	—	2	2	no	—
643	C₄×C₇₉	—	2	2	no	—
644	C₄×C₇₉	—	2	2	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	—	4	1	no	—
656	Dic₇₉	—	4	1	no	—
657	Dic₇₉	—	4	1	no	—
658	Dic₇₉	—	4	1	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	#36838	—	79	1	no	maximal, Sylow
670	C₂×C₇₉	—	4	2	no	—
671	C₂×C₇₉	#3455	1	1	yes	characteristic
672	C₂×C₇₉	#3492	1	1	yes	characteristic
673	C₂×C₇₉	#3512	1	1	yes	characteristic
674	C₂×C₇₉	#3533	1	1	yes	characteristic
675	C₂×C₇₉	#3533	1	1	yes	characteristic
676	C₂×C₇₉	#3565	1	1	yes	characteristic
677	C₂×C₇₉	#3565	1	1	yes	characteristic
678	D₇₉	—	8	1	no	—
679	D₇₉	—	8	1	no	—
680	#2853	—	79	1	no	—
681	#2853	—	79	1	no	—
682	#2802	—	79	1	no	—
683	#2801	—	79	1	no	—
684	#2791	—	79	1	no	—
685	#2790	—	79	1	no	—
686	#2779	—	79	1	no	—
687	#2772	—	79	1	no	—
688	#2768	—	79	1	no	—
689	#2765	—	79	1	no	—
690	#2765	—	79	1	no	—
691	#2765	—	79	1	no	—
692	#2761	—	79	1	no	—
693	#2750	—	79	1	no	—
694	#2718	—	79	1	no	—
695	#2718	—	79	1	no	—
696	#2708	—	79	1	no	—
697	#2701	—	79	1	no	—
698	#2655	—	79	1	no	—
699	#2651	—	79	1	no	—
700	#2609	—	79	1	no	—
701	#2601	—	79	1	no	—
702	#2601	—	79	1	no	—
703	#2594	—	79	1	no	—
704	#2575	—	79	1	no	—
705	#2570	—	79	1	no	—
706	#2478	—	79	1	no	—
707	#2476	—	79	1	no	—
708	#2334	—	79	1	no	—
709	#2314	—	79	1	no	—
710	#2296	D₇₉	1	1	yes	characteristic, complemented
711	C₇₉	#36838	1	1	yes	characteristic, complemented, Sylow
712	C₂×#126	—	79	1	no	—
713	C₂×#126	—	79	1	no	—
714	C₂×#123	—	79	1	no	—
715	C₂×#123	—	79	1	no	—
716	C₂×#121	—	79	1	no	—
717	C₂×#117	—	79	1	no	—
718	C₂×#117	C₂×D₇₉	1	1	yes	characteristic
719	C₂×#117	C₂×D₇₉	1	1	yes	characteristic
720	C₂²×C₄²	C₂×D₇₉	1	1	yes	characteristic
721	#401	—	79	1	no	—
722	#401	—	79	1	no	—
723	#400	—	79	1	no	—
724	#400	—	79	1	no	—
725	#400	—	79	1	no	—
726	#400	—	79	1	no	—
727	#400	—	79	1	no	—
728	#400	—	79	1	no	—
729	#400	—	79	1	no	—
730	#400	—	79	1	no	—
731	#399	—	79	1	no	—
732	#399	—	79	1	no	—
733	#398	—	79	1	no	—
734	#398	—	79	1	no	—
735	#398	—	79	1	no	—
736	#398	—	79	1	no	—
737	#398	—	79	1	no	—
738	#398	—	79	1	no	—
739	#398	—	79	1	no	—
740	#398	—	79	1	no	—
741	#398	—	79	1	no	—
742	#398	—	79	1	no	—
743	#398	—	79	1	no	—
744	#398	—	79	1	no	—
745	#398	—	79	1	no	—
746	#398	—	79	1	no	—
747	#397	—	79	1	no	—
748	#397	—	79	1	no	—
749	#397	—	79	1	no	—
750	#397	—	79	1	no	—
751	#397	—	79	1	no	—
752	#397	—	79	1	no	—
753	#396	—	79	1	no	—
754	#396	—	79	1	no	—
755	#396	—	79	1	no	—
756	#396	—	79	1	no	—
757	#396	—	79	1	no	—
758	#396	—	79	1	no	—
759	#396	—	79	1	no	—
760	#396	—	79	1	no	—
761	#394	—	79	1	no	—
762	#394	—	79	1	no	—
763	#394	—	79	1	no	—
764	#394	—	79	1	no	—
765	#394	—	79	1	no	—
766	#394	—	79	1	no	—
767	#394	—	79	1	no	—
768	#394	—	79	1	no	—
769	#390	—	79	1	no	—
770	#390	—	79	1	no	—
771	#389	—	79	1	no	—
772	#389	—	79	1	no	—
773	#389	—	79	1	no	—
774	#389	—	79	1	no	—
775	#389	—	79	1	no	—
776	#389	—	79	1	no	—
777	#389	—	79	1	no	—
778	#389	—	79	1	no	—
779	#389	C₂×D₇₉	1	1	yes	characteristic
780	#389	C₂×D₇₉	1	1	yes	characteristic
781	#389	C₂×D₇₉	1	1	yes	characteristic
782	#389	C₂×D₇₉	1	1	yes	characteristic
783	#388	—	79	1	no	—
784	#388	—	79	1	no	—
785	#388	—	79	1	no	—
786	#388	—	79	1	no	—
787	#388	—	79	1	no	—
788	#388	—	79	1	no	—
789	#388	—	79	1	no	—
790	#388	—	79	1	no	—
791	#388	—	79	1	no	—
792	#388	—	79	1	no	—
793	#388	—	79	1	no	—
794	#388	—	79	1	no	—
795	#388	—	79	1	no	—
796	#388	—	79	1	no	—
797	#388	—	79	1	no	—
798	#388	—	79	1	no	—
799	#388	—	79	1	no	—
800	#388	—	79	1	no	—
801	#388	—	79	1	no	—
802	#388	—	79	1	no	—
803	#388	—	79	1	no	—
804	#388	—	79	1	no	—
805	#388	—	79	1	no	—
806	#388	—	79	1	no	—
807	#387	—	79	1	no	—
808	#387	—	79	1	no	—
809	#387	—	79	1	no	—
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	#386	—	79	1	no	—
830	#386	—	79	1	no	—
831	#386	—	79	1	no	—
832	#386	—	79	1	no	—
833	#386	—	79	1	no	—
834	#386	—	79	1	no	—
835	#385	—	79	1	no	—
836	#385	—	79	1	no	—
837	#385	—	79	1	no	—
838	#385	—	79	1	no	—
839	#385	—	79	1	no	—
840	#385	—	79	1	no	—
841	#385	—	79	1	no	—
842	#385	—	79	1	no	—
843	#385	—	79	1	no	—
844	#385	—	79	1	no	—
845	#385	C₂×D₇₉	1	1	yes	characteristic
846	#385	C₂×D₇₉	1	1	yes	characteristic
847	#385	C₂×D₇₉	1	1	yes	characteristic
848	#385	C₂×D₇₉	1	1	yes	characteristic
849	#384	—	79	1	no	—
850	#384	—	79	1	no	—
851	#382	—	79	1	no	—
852	#382	—	79	1	no	—
853	#382	—	79	1	no	—
854	#382	—	79	1	no	—
855	#381	—	79	1	no	—
856	#381	—	79	1	no	—
857	#381	—	79	1	no	—
858	#380	—	79	1	no	—
859	#380	—	79	1	no	—
860	C₄×C₄⋊C₄	—	79	1	no	—
861	C₄×C₄⋊C₄	—	79	1	no	—
862	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
863	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
864	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
865	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
866	C₄×C₂²⋊C₄	—	79	1	no	—
867	C₂²×D₄	—	79	1	no	—
868	C₂²×D₄	—	79	1	no	—
869	C₂²×D₄	—	79	1	no	—
870	C₂³×C₄	—	79	1	no	—
871	C₂³×C₄	—	79	1	no	—
872	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
873	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
874	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
875	#126	—	316	2	no	—
876	#126	—	158	4	no	—
877	#123	—	316	2	no	—
878	#123	—	316	2	no	—
879	#121	—	316	2	no	—
880	#117	—	2	4	no	—
881	#117	—	4	2	no	—
882	#117	—	158	4	no	—
883	C₂×C₄⋊C₄	—	79	1	no	—
884	C₂×C₄⋊C₄	—	79	1	no	—
885	C₂×C₄⋊C₄	—	79	1	no	—
886	C₂×C₄⋊C₄	—	79	1	no	—
887	C₂×C₄⋊C₄	—	79	1	no	—
888	C₂×C₄⋊C₄	—	79	1	no	—
889	C₂×C₄⋊C₄	—	79	1	no	—
890	C₂×C₄⋊C₄	—	79	1	no	—
891	C₂×C₄⋊C₄	—	79	1	no	—
892	C₂×C₄⋊C₄	—	79	1	no	—
893	C₂×C₄⋊C₄	—	79	1	no	—
894	C₂×C₄⋊C₄	—	79	1	no	—
895	C₂×C₄⋊C₄	—	79	1	no	—
896	C₂×C₄⋊C₄	—	79	1	no	—
897	C₂×C₄⋊C₄	—	79	1	no	—
898	C₂×C₄⋊C₄	—	79	1	no	—
899	C₂×C₄⋊C₄	—	79	1	no	—
900	C₂×C₄⋊C₄	—	79	1	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	1	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	C₂²×D₇₉	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	—	79	1	no	—
929	C₂×C₂²⋊C₄	—	79	1	no	—
930	C₂×C₂²⋊C₄	—	79	1	no	—
931	C₂×C₂²⋊C₄	—	79	1	no	—
932	C₂×C₂²⋊C₄	—	79	1	no	—
933	C₂×C₂²⋊C₄	—	79	1	no	—
934	C₂×C₂²⋊C₄	—	79	1	no	—
935	C₂×C₂²⋊C₄	—	79	1	no	—
936	C₂×C₂²⋊C₄	—	79	1	no	—
937	C₂×C₂²⋊C₄	—	79	1	no	—
938	C₂×C₂²⋊C₄	—	79	1	no	—
939	C₂×C₂²⋊C₄	—	79	1	no	—
940	C₂×C₂²⋊C₄	—	79	1	no	—
941	C₂×C₂²⋊C₄	—	79	1	no	—
942	C₂×C₂²⋊C₄	—	79	1	no	—
943	C₂×C₂²⋊C₄	—	79	1	no	—
944	C₂×C₂²⋊C₄	—	79	1	no	—
945	C₂×C₂²⋊C₄	—	79	1	no	—
946	C₂×C₂²⋊C₄	—	79	1	no	—
947	C₂×C₂²⋊C₄	—	79	1	no	—
948	C₂×C₂²⋊C₄	—	79	1	no	—
949	C₂×C₂²⋊C₄	—	79	1	no	—
950	C₂×C₂²⋊C₄	—	79	1	no	—
951	C₂×C₂²⋊C₄	—	79	1	no	—
952	C₂×C₂²⋊C₄	—	79	1	no	—
953	C₂×C₂²⋊C₄	—	79	1	no	—
954	C₂×C₂²⋊C₄	—	79	1	no	—
955	C₂×C₂²⋊C₄	—	79	1	no	—
956	C₂×C₂²⋊C₄	—	79	1	no	—
957	C₂×C₂²⋊C₄	—	79	1	no	—
958	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
962	C₂×C₄²	—	4	2	no	—
963	C₂×C₄²	—	79	1	no	—
964	C₂×C₄²	—	79	1	no	—
965	C₂×C₄²	—	79	1	no	—
966	C₂×C₄²	—	79	1	no	—
967	C₂×C₄²	—	79	1	no	—
968	C₂×C₄²	—	79	1	no	—
969	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
970	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
971	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
972	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
973	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
974	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
975	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
976	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
977	#95	—	79	1	no	—
978	#95	—	79	1	no	—
979	#95	—	79	1	no	—
980	#95	—	79	1	no	—
981	#95	—	79	1	no	—
982	#95	—	79	1	no	—
983	#95	—	79	1	no	—
984	#95	—	79	1	no	—
985	#95	—	79	1	no	—
986	#95	—	79	1	no	—
987	#95	—	79	1	no	—
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	C₂²×D₇₉	1	1	yes	characteristic
1024	#95	C₂²×D₇₉	1	1	yes	characteristic
1025	#95	C₂²×D₇₉	1	1	yes	characteristic
1026	#95	C₂²×D₇₉	1	1	yes	characteristic
1027	#95	C₂²×D₇₉	1	1	yes	characteristic
1028	#95	C₂²×D₇₉	1	1	yes	characteristic
1029	#95	C₂²×D₇₉	1	1	yes	characteristic
1030	#95	C₂²×D₇₉	1	1	yes	characteristic
1031	C₂⁴	—	79	1	no	—
1032	C₂⁴	—	79	1	no	—
1033	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1034	C₂×D₄	—	316	1	no	—
1035	C₂×D₄	—	316	1	no	—
1036	C₂×D₄	—	316	1	no	—
1037	C₂×D₄	—	316	1	no	—
1038	C₂×D₄	—	316	1	no	—
1039	C₂×D₄	—	316	1	no	—
1040	C₂×D₄	—	316	1	no	—
1041	C₂×D₄	—	158	2	no	—
1042	C₂×D₄	—	158	2	no	—
1043	C₂²×C₄	—	2	2	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	2	2	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	4	1	no	—
1049	C₂²×C₄	—	4	1	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	316	1	no	—
1053	C₂²×C₄	—	316	1	no	—
1054	C₂²×C₄	—	316	1	no	—
1055	C₂²×C₄	—	316	1	no	—
1056	C₂²×C₄	—	316	1	no	—
1057	C₂²×C₄	—	79	1	no	—
1058	C₂²×C₄	—	79	1	no	—
1059	C₂²×C₄	—	79	1	no	—
1060	C₂²×C₄	—	79	1	no	—
1061	C₂²×C₄	—	79	1	no	—
1062	C₂²×C₄	—	79	1	no	—
1063	C₂²×C₄	—	79	1	no	—
1064	C₂²×C₄	—	79	1	no	—
1065	C₂²×C₄	—	79	1	no	—
1066	C₂²×C₄	—	79	1	no	—
1067	C₂²×C₄	—	79	1	no	—
1068	C₂²×C₄	—	79	1	no	—
1069	C₂²×C₄	—	79	1	no	—
1070	C₂²×C₄	—	79	1	no	—
1071	C₂²×C₄	—	158	2	no	—
1072	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	4	1	no	—
1091	C₄⋊C₄	—	4	1	no	—
1092	C₄⋊C₄	—	4	1	no	—
1093	C₄⋊C₄	—	4	1	no	—
1094	C₄⋊C₄	—	4	1	no	—
1095	C₄⋊C₄	—	4	1	no	—
1096	C₄⋊C₄	—	4	1	no	—
1097	C₄⋊C₄	—	4	1	no	—
1098	C₄⋊C₄	—	316	1	no	—
1099	C₄⋊C₄	—	316	1	no	—
1100	C₄⋊C₄	—	316	1	no	—
1101	C₄⋊C₄	—	316	1	no	—
1102	C₄⋊C₄	—	316	1	no	—
1103	C₄⋊C₄	—	316	1	no	—
1104	C₄⋊C₄	—	316	1	no	—
1105	C₄⋊C₄	—	316	1	no	—
1106	C₄⋊C₄	—	316	1	no	—
1107	C₄⋊C₄	—	316	1	no	—
1108	C₄⋊C₄	—	316	1	no	—
1109	C₄⋊C₄	—	316	1	no	—
1110	C₄⋊C₄	—	316	1	no	—
1111	C₄⋊C₄	—	316	1	no	—
1112	C₄⋊C₄	—	316	1	no	—
1113	C₄⋊C₄	—	316	1	no	—
1114	C₄⋊C₄	—	316	1	no	—
1115	C₄⋊C₄	—	316	1	no	—
1116	C₄⋊C₄	—	316	1	no	—
1117	C₄⋊C₄	—	316	1	no	—
1118	C₄⋊C₄	—	316	1	no	—
1119	C₄⋊C₄	—	316	1	no	—
1120	C₄⋊C₄	—	316	1	no	—
1121	C₄⋊C₄	—	316	1	no	—
1122	C₄⋊C₄	—	316	1	no	—
1123	C₄⋊C₄	—	316	1	no	—
1124	C₄⋊C₄	—	158	2	no	—
1125	C₄⋊C₄	—	158	2	no	—
1126	C₄⋊C₄	—	158	2	no	—
1127	C₄⋊C₄	—	158	2	no	—
1128	C₄⋊C₄	—	158	2	no	—
1129	C₄⋊C₄	—	158	2	no	—
1130	C₄⋊C₄	—	158	2	no	—
1131	C₂²⋊C₄	—	2	2	no	—
1132	C₂²⋊C₄	—	2	2	no	—
1133	C₂²⋊C₄	—	2	2	no	—
1134	C₂²⋊C₄	—	2	2	no	—
1135	C₂²⋊C₄	—	316	1	no	—
1136	C₂²⋊C₄	—	316	1	no	—
1137	C₂²⋊C₄	—	316	1	no	—
1138	C₂²⋊C₄	—	316	1	no	—
1139	C₂²⋊C₄	—	316	1	no	—
1140	C₂²⋊C₄	—	316	1	no	—
1141	C₂²⋊C₄	—	316	1	no	—
1142	C₂²⋊C₄	—	316	1	no	—
1143	C₂²⋊C₄	—	316	1	no	—
1144	C₂²⋊C₄	—	316	1	no	—
1145	C₂²⋊C₄	—	316	1	no	—
1146	C₂²⋊C₄	—	316	1	no	—
1147	C₂²⋊C₄	—	316	1	no	—
1148	C₂²⋊C₄	—	316	1	no	—
1149	C₂²⋊C₄	—	316	1	no	—
1150	C₂²⋊C₄	—	316	1	no	—
1151	C₂²⋊C₄	—	316	1	no	—
1152	C₂²⋊C₄	—	316	1	no	—
1153	C₂²⋊C₄	—	316	1	no	—
1154	C₂²⋊C₄	—	316	1	no	—
1155	C₂²⋊C₄	—	316	1	no	—
1156	C₂²⋊C₄	—	158	2	no	—
1157	C₂²⋊C₄	—	158	2	no	—
1158	C₂²⋊C₄	—	158	2	no	—
1159	C₂²⋊C₄	—	158	2	no	—
1160	C₂²⋊C₄	—	158	2	no	—
1161	C₂²⋊C₄	—	158	2	no	—
1162	C₂²⋊C₄	—	158	2	no	—
1163	C₂²⋊C₄	—	158	2	no	—
1164	C₂²⋊C₄	—	158	2	no	—
1165	C₄²	—	2	2	no	—
1166	C₄²	—	4	1	no	—
1167	C₄²	—	4	1	no	—
1168	C₄²	—	4	1	no	—
1169	C₄²	—	4	1	no	—
1170	C₄²	—	4	1	no	—
1171	C₄²	—	4	1	no	—
1172	C₄²	—	316	1	no	—
1173	C₄²	—	316	1	no	—
1174	C₄²	—	316	1	no	—
1175	C₄²	—	316	1	no	—
1176	C₄²	—	316	1	no	—
1177	C₄²	—	158	2	no	—
1178	C₄²	#11929624	1	4	yes	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	158	1	no	—
1186	C₂³	—	158	1	no	—
1187	C₂³	—	158	1	no	—
1188	C₂³	—	158	1	no	—
1189	C₂³	—	158	1	no	—
1190	C₂³	—	158	1	no	—
1191	C₂³	—	158	1	no	—
1192	C₂³	—	158	1	no	—
1193	C₂³	—	158	1	no	—
1194	C₂³	—	158	1	no	—
1195	C₂³	—	158	1	no	—
1196	C₂³	—	158	1	no	—
1197	C₂³	—	158	1	no	—
1198	C₂³	—	158	1	no	—
1199	C₂³	#14579206	1	2	yes	—
1200	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1201	D₄	—	632	2	no	—
1202	D₄	—	632	2	no	—
1203	D₄	—	632	2	no	—
1204	C₂×C₄	—	2	8	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	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	—	4	4	no	—
1244	C₂×C₄	—	4	4	no	—
1245	C₂×C₄	—	316	4	no	—
1246	C₂×C₄	—	632	2	no	—
1247	C₂×C₄	—	158	1	no	—
1248	C₂×C₄	—	158	1	no	—
1249	C₂×C₄	—	158	1	no	—
1250	C₂×C₄	—	158	1	no	—
1251	C₂×C₄	—	158	1	no	—
1252	C₂×C₄	—	158	1	no	—
1253	C₂×C₄	—	158	1	no	—
1254	C₂×C₄	—	158	1	no	—
1255	C₂×C₄	—	158	1	no	—
1256	C₂×C₄	—	158	1	no	—
1257	C₂×C₄	—	158	1	no	—
1258	C₂×C₄	—	158	1	no	—
1259	C₂×C₄	—	158	1	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	C₂×#11929624	1	2	yes	—
1290	C₂×C₄	C₂×#11929624	1	2	yes	—
1291	C₂×C₄	C₂×#11929624	1	2	yes	—
1292	C₂×C₄	#14579209	1	2	yes	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	316	1	no	—
1301	C₂²	—	316	1	no	—
1302	C₂²	—	316	1	no	—
1303	C₂²	—	316	1	no	—
1304	C₂²	—	316	1	no	—
1305	C₂²	—	316	1	no	—
1306	C₂²	—	316	1	no	—
1307	C₂²	—	316	1	no	—
1308	C₂²	—	316	1	no	—
1309	C₂²	—	316	1	no	—
1310	C₂²	—	316	1	no	—
1311	C₂²	—	316	1	no	—
1312	C₂²	—	316	1	no	—
1313	C₂²	—	316	1	no	—
1314	C₂²	C₂²×#11929624	1	1	yes	characteristic
1315	C₂²	C₂×#14579206	1	1	yes	characteristic
1316	C₂²	C₂×#14579209	1	1	yes	characteristic
1317	C₂²	#19099399	1	1	yes	characteristic
1318	C₂²	#19099399	1	1	yes	characteristic
1319	C₂²	#19099399	1	1	yes	characteristic
1320	C₂²	#19099399	1	1	yes	characteristic
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	2	no	—
1324	C₄	—	2	2	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	—	4	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	—	316	1	no	—
1346	C₄	—	316	1	no	—
1347	C₄	—	316	1	no	—
1348	C₄	—	316	1	no	—
1349	C₂	—	4	2	no	—
1350	C₂	—	632	1	no	—
1351	C₂	—	632	1	no	—
1352	C₂	#23776785	1	1	yes	characteristic
1353	C₂	#23777109	1	1	yes	characteristic
1354	C₂	#23777322	1	1	yes	characteristic
1355	C₂	#23777564	1	1	yes	characteristic
1356	C₂	#23777564	1	1	yes	characteristic
1357	C₂	#23778049	1	1	yes	characteristic
1358	C₂	#23778049	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₉
commutator, socle, cosocle	C₂³×C₇₉	C₂⁵
Fitting	C₇₉×#2296	C₂
prime radical	C₂×#14579134	C₂²
hypercenter	#2296	D₇₉
hypocenter	C₇₉	#36838
LCS	G ▷ C₂³×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ #2296

Complements

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

N	H ≅ G/N	type
1. #23771722	C₂	semidirect
2. #23771722	C₂	semidirect
3. #23771313	C₂	semidirect
4. #23771305	C₂	semidirect
5. #23771179	C₂	semidirect
6. #23771167	C₂	semidirect
7. #23771027	C₂	semidirect
8. #23770925	C₂	semidirect
9. #23770883	C₂	semidirect
10. #23770839	C₂	semidirect
11. #23770838	C₂	semidirect
12. #23770835	C₂	semidirect
13. #23770791	C₂	semidirect
14. #23770642	C₂	semidirect
15. #23770254	C₂	semidirect
16. #23770250	C₂	semidirect
19. #23769487	C₂	semidirect
20. #23769427	C₂	semidirect
21. #23769072	C₂	semidirect
22. #23768997	C₂	semidirect
23. #23768991	C₂	semidirect
24. #23768900	C₂	semidirect
25. #23768683	C₂	semidirect
26. #23768628	C₂	semidirect
27. #23767610	C₂	semidirect
29. #23766175	C₂	semidirect
30. #23766005	C₂	semidirect
31. C₇₉×#2296	C₂	semidirect
710. #2296	D₇₉	semidirect
711. C₇₉	#36838	semidirect

Maximal subgroups

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

subgroup	index
#23771722	2
#23771313	2
#23771305	2
#23771179	2
#23771167	2
#23771027	2
#23770925	2
#23770883	2
#23770839	2
#23770838	2
#23770835	2
#23770791	2
#23770642	2
#23770254	2
#23770250	2
#23770122	2
#23770014	2
#23769487	2
#23769427	2
#23769072	2
#23768997	2
#23768991	2
#23768900	2
#23768683	2
#23768628	2
#23767610	2
#23767580	2
#23766175	2
#23766005	2
C₇₉×#2296	2
#36838	79