Subgroups — #34496845

Order 20224.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23771719	C₂	1	1	yes	maximal, characteristic, complemented
2	#23771703	C₂	1	1	yes	maximal, characteristic, complemented
3	#23771089	C₂	1	1	yes	maximal, characteristic, complemented
4	#23771036	C₂	1	1	yes	maximal, characteristic, complemented
5	#23770925	C₂	1	1	yes	maximal, characteristic, complemented
6	#23770732	C₂	1	1	yes	maximal, characteristic, complemented
7	#23770670	C₂	1	1	yes	maximal, characteristic, complemented
8	#23770551	C₂	1	1	yes	maximal, characteristic, complemented
9	#23770462	C₂	1	1	yes	maximal, characteristic, complemented
10	#23770442	C₂	1	1	yes	maximal, characteristic, complemented
11	#23770406	C₂	1	1	yes	maximal, characteristic, complemented
12	#23770017	C₂	1	1	yes	maximal, characteristic, complemented
13	#23769904	C₂	1	1	yes	maximal, characteristic, complemented
14	#23769817	C₂	1	1	yes	maximal, characteristic, complemented
15	#23769783	C₂	1	1	yes	maximal, characteristic, complemented
16	#23769776	C₂	1	1	yes	maximal, characteristic, complemented
17	#23769719	C₂	1	1	yes	maximal, characteristic
18	#23769426	C₂	1	1	yes	maximal, characteristic, complemented
19	#23769421	C₂	1	1	yes	maximal, characteristic, complemented
20	#23769017	C₂	1	1	yes	maximal, characteristic, complemented
21	#23768924	C₂	1	1	yes	maximal, characteristic, complemented
22	#23768497	C₂	1	1	yes	maximal, characteristic, complemented
23	#23768285	C₂	1	1	yes	maximal, characteristic, complemented
24	#23768255	C₂	1	1	yes	maximal, characteristic, complemented
25	#23768253	C₂	1	1	yes	maximal, characteristic, complemented
26	#23767087	C₂	1	1	yes	maximal, characteristic, complemented
27	#23766780	C₂	1	1	yes	maximal, characteristic, complemented
28	#23766193	C₂	1	1	yes	maximal, characteristic, complemented
29	#23765994	C₂	1	1	yes	maximal, characteristic, complemented
30	#23765836	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₉×#2674	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14579150	C₂²	1	1	yes	characteristic
33	C₂×#14579146	C₂²	1	1	yes	characteristic
34	C₂×#14579143	C₂²	1	1	yes	characteristic
35	C₂×#14579143	C₂²	1	1	yes	characteristic, complemented
36	C₂×#14579135	C₂²	1	1	yes	characteristic
37	C₂×#14579131	C₂²	1	1	yes	characteristic
38	C₂×#14579129	C₂²	1	1	yes	characteristic
39	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×#14579119	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
42	C₂²×C₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
43	#19098505	C₂²	1	1	yes	characteristic, complemented
44	#19098505	C₂²	1	1	yes	characteristic, complemented
45	#19098504	C₂²	1	1	yes	characteristic, complemented
46	#19098503	C₂²	1	1	yes	characteristic, complemented
47	#19098501	C₂²	1	1	yes	characteristic, complemented
48	#19098497	C₂²	1	1	yes	characteristic, complemented
49	#19098497	C₂²	1	1	yes	characteristic, complemented
50	#19098496	C₂²	1	1	yes	characteristic, complemented
51	#19098493	C₂²	1	1	yes	characteristic, complemented
52	#19098492	C₂²	1	1	yes	characteristic
53	#19098492	C₂²	1	1	yes	characteristic
54	#19098492	C₂²	1	1	yes	characteristic
55	#19098491	C₂²	1	1	yes	characteristic
56	#19098491	C₂²	1	1	yes	characteristic
57	#19098491	C₂²	1	1	yes	characteristic, complemented
58	#19098490	C₂²	1	1	yes	characteristic
59	#19098490	C₂²	1	1	yes	characteristic, complemented
60	#19098489	C₂²	1	1	yes	characteristic
61	#19098489	C₂²	1	1	yes	characteristic, complemented
62	#19098488	C₂²	1	1	yes	characteristic
63	#19098486	C₂²	1	1	yes	characteristic
64	#19098485	C₂²	1	1	yes	characteristic
65	#19098485	C₂²	1	1	yes	characteristic
66	#19098485	C₂²	1	1	yes	characteristic
67	#19098485	C₂²	1	1	yes	characteristic
68	#19098485	C₂²	1	1	yes	characteristic
69	#19098485	C₂²	1	1	yes	characteristic, complemented
70	#19098481	C₂²	1	1	yes	characteristic
71	#19098480	C₂²	1	1	yes	characteristic
72	#19098480	C₂²	1	1	yes	characteristic
73	#19098479	C₂²	1	1	yes	characteristic
74	#19098479	C₂²	1	1	yes	characteristic
75	#19098479	C₂²	1	1	yes	characteristic
76	#19098478	C₂²	1	1	yes	characteristic
77	#19098478	C₂²	1	1	yes	characteristic
78	#19098478	C₂²	1	1	yes	characteristic
79	#19098474	C₂²	1	1	yes	characteristic
80	#19098474	C₂²	1	1	yes	characteristic
81	#19098474	C₂²	1	1	yes	characteristic
82	#19098474	C₂²	1	1	yes	characteristic, complemented
83	#19098472	C₂²	1	1	yes	characteristic
84	#19098471	C₂²	1	1	yes	characteristic
85	#19098470	C₂²	1	1	yes	characteristic, complemented
86	#19098470	C₂²	1	1	yes	characteristic, complemented
87	#19098470	C₂²	1	1	yes	characteristic, complemented
88	#19098464	C₂²	1	1	yes	characteristic
89	#19098464	C₂²	1	1	yes	characteristic
90	#19098463	C₂²	1	1	yes	characteristic
91	#19098463	C₂²	1	1	yes	characteristic
92	#19098463	C₂²	1	1	yes	characteristic, complemented
93	#19098462	C₂²	1	1	yes	characteristic, complemented
94	#19098461	C₂²	1	1	yes	characteristic, complemented
95	#19098458	C₂²	1	1	yes	characteristic, complemented
96	#19098457	C₂²	1	1	yes	characteristic
97	#19098456	C₂²	1	1	yes	characteristic
98	#19098456	C₂²	1	1	yes	characteristic
99	#19098456	C₂²	1	1	yes	characteristic
100	#19098456	C₂²	1	1	yes	characteristic, complemented
101	#19098455	C₂²	1	1	yes	characteristic
102	#19098455	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, complemented
107	#19098453	C₂²	1	1	yes	characteristic
108	#19098453	C₂²	1	1	yes	characteristic
109	#19098453	C₂²	1	1	yes	characteristic
110	#19098453	C₂²	1	1	yes	characteristic
111	#19098453	C₂²	1	1	yes	characteristic
112	#19098453	C₂²	1	1	yes	characteristic, complemented
113	#19098453	C₂²	1	1	yes	characteristic, complemented
114	#19098453	C₂²	1	1	yes	characteristic, complemented
115	#19098452	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, complemented
119	#19098451	C₂²	1	1	yes	characteristic
120	#19098451	C₂²	1	1	yes	characteristic
121	#19098451	C₂²	1	1	yes	characteristic
122	#19098451	C₂²	1	1	yes	characteristic
123	#19098451	C₂²	1	1	yes	characteristic
124	#19098450	C₂²	1	1	yes	characteristic, complemented
125	#19098449	C₂²	1	1	yes	characteristic, complemented
126	#19098448	C₂²	1	1	yes	characteristic, complemented
127	#19098447	C₂²	1	1	yes	characteristic, complemented
128	#19098445	C₂²	1	1	yes	characteristic, complemented
129	#19098444	C₂²	1	1	yes	characteristic, complemented
130	#19098444	C₂²	1	1	yes	characteristic, complemented
131	#19098444	C₂²	1	1	yes	characteristic, complemented
132	#19098444	C₂²	1	1	yes	characteristic, complemented
133	#19098444	C₂²	1	1	yes	characteristic, complemented
134	#19098444	C₂²	1	1	yes	characteristic, complemented
135	#19098443	C₂²	1	1	yes	characteristic
136	#19098443	C₂²	1	1	yes	characteristic
137	#19098442	C₂²	1	1	yes	characteristic
138	#19098441	C₂²	1	1	yes	characteristic
139	#19098441	C₂²	1	1	yes	characteristic
140	#19098441	C₂²	1	1	yes	characteristic
141	#19098440	C₂²	1	1	yes	characteristic
142	#19098440	C₂²	1	1	yes	characteristic
143	#19098440	C₂²	1	1	yes	characteristic
144	#19098440	C₂²	1	1	yes	characteristic, complemented
145	#19098440	C₂²	1	1	yes	characteristic, complemented
146	#19098439	C₂²	1	1	yes	characteristic
147	#19098438	C₂²	1	1	yes	characteristic, complemented
148	#19098437	C₂²	1	1	yes	characteristic, complemented
149	#19098435	C₂²	1	1	yes	characteristic, complemented
150	#19098435	C₂²	1	1	yes	characteristic, complemented
151	#19098434	C₂²	1	1	yes	characteristic
152	#19098430	C₂²	1	1	yes	characteristic, complemented
153	#19098428	C₂²	1	1	yes	characteristic, complemented
154	#19098428	C₂²	1	1	yes	characteristic, complemented
155	#19098426	C₂²	1	1	yes	characteristic, complemented
156	#19098425	C₂²	1	1	yes	characteristic
157	#19098422	C₂²	1	1	yes	characteristic
158	#19098422	C₂²	1	1	yes	characteristic, complemented
159	#19098420	C₂²	1	1	yes	characteristic
160	#19098420	C₂²	1	1	yes	characteristic
161	#19098418	C₂²	1	1	yes	characteristic
162	#19098418	C₂²	1	1	yes	characteristic
163	#19098418	C₂²	1	1	yes	characteristic
164	#19098418	C₂²	1	1	yes	characteristic
165	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
166	#19098414	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
168	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	#19098410	C₂²	1	1	yes	characteristic
171	#19098408	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
173	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic
174	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic
175	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
176	#399×C₇₉	C₂²	1	1	yes	characteristic
177	#397×C₇₉	C₂²	1	1	yes	characteristic, complemented
178	#396×C₇₉	C₂²	1	1	yes	characteristic
179	#395×C₇₉	C₂²	1	1	yes	characteristic, complemented
180	#394×C₇₉	C₂²	1	1	yes	characteristic
181	#393×C₇₉	C₂²	1	1	yes	characteristic
182	#389×C₇₉	C₂²	1	1	yes	characteristic, complemented
183	#388×C₇₉	C₂²	1	1	yes	characteristic
184	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
185	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
186	#385×C₇₉	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
188	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
189	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
195	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
199	#14579150	—	4	2	no	—
200	#14579146	—	2	4	no	—
201	#14579143	—	4	2	no	—
202	#14579143	—	4	2	no	—
203	#14579135	—	4	2	no	—
204	#14579131	—	4	2	no	—
205	#14579129	—	4	2	no	—
206	(C₂²⋊D₇₉)⋊C₄	—	2	4	no	—
207	#14579119	—	4	2	no	—
208	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₇₉	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×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₇₉	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×(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×(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×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂²⋊C₄×D₇₉	—	2	4	no	—
269	C₂×C₄×Dic₇₉	—	4	2	no	—
270	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇₉	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	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	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
319	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
321	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
322	C₄⋊Q₈×C₇₉	—	4	2	no	—
323	#124×C₇₉	—	4	2	no	—
324	#123×C₇₉	—	4	2	no	—
325	C₂²⋊Q₈×C₇₉	—	4	2	no	—
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×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
349	#95×C₇₉	C₂³	1	1	yes	characteristic
350	#95×C₇₉	C₂³	1	1	yes	characteristic
351	#95×C₇₉	C₂³	1	1	yes	characteristic
352	#95×C₇₉	C₂³	1	1	yes	characteristic
353	#95×C₇₉	C₂³	1	1	yes	characteristic
354	#95×C₇₉	C₂³	1	1	yes	characteristic
355	#95×C₇₉	C₂³	1	1	yes	characteristic
356	#95×C₇₉	C₂³	1	1	yes	characteristic
357	C₂³×D₇₉	—	2	2	no	—
358	C₂³×D₇₉	—	4	1	no	—
359	C₂³×D₇₉	—	4	1	no	—
360	C₂³×D₇₉	—	4	1	no	—
361	C₂³×D₇₉	—	4	1	no	—
362	C₂³×D₇₉	—	4	1	no	—
363	C₂³×D₇₉	—	4	1	no	—
364	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
365	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
366	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
367	C₂×D₃₁₆	—	2	2	no	—
368	C₂×D₃₁₆	—	2	2	no	—
369	C₂×D₃₁₆	—	4	1	no	—
370	C₂×D₃₁₆	—	4	1	no	—
371	C₂×D₃₁₆	—	4	1	no	—
372	C₂×D₃₁₆	—	4	1	no	—
373	C₂×C₂²⋊D₇₉	—	2	2	no	—
374	C₂×C₂²⋊D₇₉	—	2	2	no	—
375	C₂×C₂²⋊D₇₉	—	2	2	no	—
376	C₂×C₂²⋊D₇₉	—	2	2	no	—
377	C₂×C₂²⋊D₇₉	—	4	1	no	—
378	C₂×C₂²⋊D₇₉	—	4	1	no	—
379	C₂×C₂²⋊D₇₉	—	4	1	no	—
380	C₂×C₂²⋊D₇₉	—	4	1	no	—
381	C₂×C₂²⋊D₇₉	—	4	1	no	—
382	C₂×C₂²⋊D₇₉	—	4	1	no	—
383	C₂×C₂²⋊D₇₉	—	4	1	no	—
384	C₂×C₂²⋊D₇₉	—	4	1	no	—
385	C₂²×Dic₇₉	—	2	2	no	—
386	C₂²×Dic₇₉	—	4	1	no	—
387	C₂²×Dic₇₉	—	4	1	no	—
388	C₂²×Dic₇₉	—	4	1	no	—
389	C₂²×Dic₇₉	—	4	1	no	—
390	C₂²×Dic₇₉	—	4	1	no	—
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	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
404	C₂×C₄×D₇₉	—	2	2	no	—
405	C₂×C₄×D₇₉	—	4	1	no	—
406	C₂×C₄×D₇₉	—	4	1	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	#41	1	4	yes	—
413	C₄⋊Dic₇₉	—	4	1	no	—
414	C₄⋊Dic₇₉	—	4	1	no	—
415	C₄⋊Dic₇₉	—	4	1	no	—
416	C₄⋊Dic₇₉	—	4	1	no	—
417	C₄⋊Dic₇₉	—	4	1	no	—
418	C₄⋊Dic₇₉	—	4	1	no	—
419	C₄⋊Dic₇₉	—	4	1	no	—
420	Dic₇₉⋊C₄	—	2	2	no	—
421	Dic₇₉⋊C₄	—	2	2	no	—
422	Dic₇₉⋊C₄	—	4	1	no	—
423	Dic₇₉⋊C₄	—	4	1	no	—
424	Dic₇₉⋊C₄	—	4	1	no	—
425	Dic₇₉⋊C₄	—	4	1	no	—
426	Dic₇₉⋊C₄	—	4	1	no	—
427	Dic₇₉⋊C₄	—	4	1	no	—
428	Dic₇₉⋊C₄	—	4	1	no	—
429	Dic₇₉⋊C₄	—	4	1	no	—
430	Dic₇₉⋊C₄	—	4	1	no	—
431	Dic₇₉⋊C₄	—	4	1	no	—
432	C₂²⋊Dic₇₉	—	2	2	no	—
433	C₂²⋊Dic₇₉	—	2	2	no	—
434	C₂²⋊Dic₇₉	—	4	1	no	—
435	C₂²⋊Dic₇₉	—	4	1	no	—
436	C₂²⋊Dic₇₉	—	4	1	no	—
437	C₂²⋊Dic₇₉	—	4	1	no	—
438	C₂²⋊Dic₇₉	—	4	1	no	—
439	C₂²⋊Dic₇₉	—	4	1	no	—
440	C₂²⋊Dic₇₉	—	4	1	no	—
441	(C₂×D₇₉)⋊C₄	—	2	2	no	—
442	(C₂×D₇₉)⋊C₄	—	2	2	no	—
443	(C₂×D₇₉)⋊C₄	—	2	2	no	—
444	(C₂×D₇₉)⋊C₄	—	2	2	no	—
445	(C₂×D₇₉)⋊C₄	—	2	2	no	—
446	(C₂×D₇₉)⋊C₄	—	2	2	no	—
447	(C₂×D₇₉)⋊C₄	—	2	2	no	—
448	(C₂×D₇₉)⋊C₄	—	4	1	no	—
449	(C₂×D₇₉)⋊C₄	—	4	1	no	—
450	(C₂×D₇₉)⋊C₄	—	4	1	no	—
451	(C₂×D₇₉)⋊C₄	—	4	1	no	—
452	(C₂×D₇₉)⋊C₄	—	4	1	no	—
453	(C₂×D₇₉)⋊C₄	—	4	1	no	—
454	(C₂×D₇₉)⋊C₄	—	4	1	no	—
455	(C₂×D₇₉)⋊C₄	—	4	1	no	—
456	(C₂×D₇₉)⋊C₄	—	4	1	no	—
457	(C₂×D₇₉)⋊C₄	—	4	1	no	—
458	(C₂×D₇₉)⋊C₄	—	4	1	no	—
459	(C₂×D₇₉)⋊C₄	—	4	1	no	—
460	(C₂×D₇₉)⋊C₄	—	4	1	no	—
461	(C₂×D₇₉)⋊C₄	—	4	1	no	—
462	(C₂×D₇₉)⋊C₄	—	4	1	no	—
463	(C₂×D₇₉)⋊C₄	—	4	1	no	—
464	(C₂×D₇₉)⋊C₄	—	4	1	no	—
465	(C₂×D₇₉)⋊C₄	—	4	1	no	—
466	(C₂×D₇₉)⋊C₄	—	4	1	no	—
467	(C₂×D₇₉)⋊C₄	—	4	1	no	—
468	(C₂×D₇₉)⋊C₄	—	4	1	no	—
469	(C₂×D₇₉)⋊C₄	—	4	1	no	—
470	(C₂×D₇₉)⋊C₄	—	4	1	no	—
471	(C₂×D₇₉)⋊C₄	—	4	1	no	—
472	(C₂×D₇₉)⋊C₄	—	4	1	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	C₄×Dic₇₉	—	4	1	no	—
480	C₄×Dic₇₉	—	4	1	no	—
481	C₄×Dic₇₉	—	4	1	no	—
482	C₄×Dic₇₉	—	4	1	no	—
483	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
484	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
485	C₂×Q₈×C₇₉	—	2	2	no	—
486	C₂×Q₈×C₇₉	—	4	1	no	—
487	C₂×Q₈×C₇₉	—	4	1	no	—
488	C₂×Q₈×C₇₉	—	4	1	no	—
489	C₂×Q₈×C₇₉	—	4	1	no	—
490	C₂×Q₈×C₇₉	—	4	1	no	—
491	C₂×D₄×C₇₉	—	2	2	no	—
492	C₂×D₄×C₇₉	—	4	1	no	—
493	C₂×D₄×C₇₉	—	4	1	no	—
494	C₂²×C₄×C₇₉	—	2	2	no	—
495	C₂²×C₄×C₇₉	—	2	2	no	—
496	C₂²×C₄×C₇₉	—	4	1	no	—
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	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
510	C₄⋊C₄×C₇₉	—	2	2	no	—
511	C₄⋊C₄×C₇₉	—	2	2	no	—
512	C₄⋊C₄×C₇₉	—	2	2	no	—
513	C₄⋊C₄×C₇₉	—	4	1	no	—
514	C₄⋊C₄×C₇₉	—	4	1	no	—
515	C₄⋊C₄×C₇₉	—	4	1	no	—
516	C₄⋊C₄×C₇₉	—	4	1	no	—
517	C₄⋊C₄×C₇₉	—	4	1	no	—
518	C₄⋊C₄×C₇₉	—	4	1	no	—
519	C₄⋊C₄×C₇₉	—	4	1	no	—
520	C₂²⋊C₄×C₇₉	—	2	2	no	—
521	C₂²⋊C₄×C₇₉	—	2	2	no	—
522	C₂²⋊C₄×C₇₉	—	2	2	no	—
523	C₂²⋊C₄×C₇₉	—	2	2	no	—
524	C₂²⋊C₄×C₇₉	—	2	2	no	—
525	C₂²⋊C₄×C₇₉	—	2	2	no	—
526	C₂²⋊C₄×C₇₉	—	4	1	no	—
527	C₂²⋊C₄×C₇₉	—	4	1	no	—
528	C₂²⋊C₄×C₇₉	—	4	1	no	—
529	C₂²⋊C₄×C₇₉	—	4	1	no	—
530	C₂²⋊C₄×C₇₉	—	4	1	no	—
531	C₄²×C₇₉	—	4	1	no	—
532	C₄²×C₇₉	—	4	1	no	—
533	C₂³×C₇₉	—	2	1	no	—
534	C₂³×C₇₉	—	2	1	no	—
535	C₂³×C₇₉	—	2	1	no	—
536	C₂³×C₇₉	—	2	1	no	—
537	C₂³×C₇₉	—	2	1	no	—
538	C₂³×C₇₉	—	2	1	no	—
539	C₂³×C₇₉	—	2	1	no	—
540	C₂³×C₇₉	—	2	1	no	—
541	C₂³×C₇₉	—	2	1	no	—
542	C₂³×C₇₉	—	2	1	no	—
543	C₂³×C₇₉	—	2	1	no	—
544	C₂³×C₇₉	—	2	1	no	—
545	C₂³×C₇₉	—	2	1	no	—
546	C₂³×C₇₉	H(5,𝔽₂)	1	2	yes	—
547	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
548	C₂²×D₇₉	—	2	1	no	—
549	C₂²×D₇₉	—	2	1	no	—
550	C₂²×D₇₉	—	2	1	no	—
551	C₂²×D₇₉	—	2	1	no	—
552	C₂²×D₇₉	—	2	1	no	—
553	C₂²×D₇₉	—	2	1	no	—
554	C₂²×D₇₉	—	2	1	no	—
555	C₂²×D₇₉	—	2	1	no	—
556	C₂²×D₇₉	—	2	1	no	—
557	C₂²×D₇₉	—	2	1	no	—
558	C₂²×D₇₉	—	2	1	no	—
559	C₂²×D₇₉	—	2	1	no	—
560	C₂²×D₇₉	—	2	1	no	—
561	C₂²×D₇₉	—	2	1	no	—
562	C₂²×D₇₉	—	2	1	no	—
563	C₂²×D₇₉	—	2	1	no	—
564	C₂²×D₇₉	—	2	1	no	—
565	C₂²×D₇₉	—	2	1	no	—
566	C₂²×D₇₉	—	2	1	no	—
567	C₂²×D₇₉	—	2	1	no	—
568	C₂²×D₇₉	—	4	4	no	—
569	C₂²×D₇₉	—	8	2	no	—
570	C₂²×D₇₉	—	8	2	no	—
571	C₂²×D₇₉	—	8	2	no	—
572	C₂²×D₇₉	—	8	2	no	—
573	C₂²×D₇₉	—	8	2	no	—
574	C₂²×D₇₉	—	8	2	no	—
575	C₂²×D₇₉	C₂×#41	1	2	yes	—
576	Q₈×C₇₉	—	8	2	no	—
577	Q₈×C₇₉	—	8	2	no	—
578	D₄×C₇₉	—	8	2	no	—
579	C₂×C₄×C₇₉	—	2	1	no	—
580	C₂×C₄×C₇₉	—	2	1	no	—
581	C₂×C₄×C₇₉	—	2	1	no	—
582	C₂×C₄×C₇₉	—	2	1	no	—
583	C₂×C₄×C₇₉	—	2	1	no	—
584	C₂×C₄×C₇₉	—	2	1	no	—
585	C₂×C₄×C₇₉	—	2	1	no	—
586	C₂×C₄×C₇₉	—	2	1	no	—
587	C₂×C₄×C₇₉	—	2	1	no	—
588	C₂×C₄×C₇₉	—	2	1	no	—
589	C₂×C₄×C₇₉	—	2	1	no	—
590	C₂×C₄×C₇₉	—	2	1	no	—
591	C₂×C₄×C₇₉	—	2	1	no	—
592	C₂×C₄×C₇₉	—	2	1	no	—
593	C₂×C₄×C₇₉	—	2	1	no	—
594	C₂×C₄×C₇₉	—	2	1	no	—
595	C₂×C₄×C₇₉	—	2	1	no	—
596	C₂×C₄×C₇₉	—	2	1	no	—
597	C₂×C₄×C₇₉	—	2	1	no	—
598	C₂×C₄×C₇₉	—	2	1	no	—
599	C₂×C₄×C₇₉	—	2	1	no	—
600	C₂×C₄×C₇₉	—	2	1	no	—
601	C₂×C₄×C₇₉	—	2	1	no	—
602	C₂×C₄×C₇₉	—	2	1	no	—
603	C₂×C₄×C₇₉	—	2	1	no	—
604	C₂×C₄×C₇₉	—	2	1	no	—
605	C₂×C₄×C₇₉	—	2	1	no	—
606	C₂×C₄×C₇₉	—	2	1	no	—
607	C₂×C₄×C₇₉	—	2	1	no	—
608	C₂×C₄×C₇₉	—	2	1	no	—
609	C₂×C₄×C₇₉	—	2	1	no	—
610	C₂×C₄×C₇₉	—	2	1	no	—
611	C₂×C₄×C₇₉	—	2	1	no	—
612	C₂×C₄×C₇₉	—	2	1	no	—
613	C₂×C₄×C₇₉	—	2	1	no	—
614	C₂×C₄×C₇₉	—	2	1	no	—
615	C₂×C₄×C₇₉	—	2	1	no	—
616	C₂×C₄×C₇₉	—	4	4	no	—
617	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
618	C₂×C₄×C₇₉	H(5,𝔽₂)	1	2	yes	—
619	C₂²⋊D₇₉	—	4	4	no	—
620	C₂²⋊D₇₉	—	8	2	no	—
621	C₂²⋊D₇₉	—	8	2	no	—
622	C₂²⋊D₇₉	—	8	2	no	—
623	C₂×Dic₇₉	—	2	1	no	—
624	C₂×Dic₇₉	—	2	1	no	—
625	C₂×Dic₇₉	—	2	1	no	—
626	C₂×Dic₇₉	—	2	1	no	—
627	C₂×Dic₇₉	—	2	1	no	—
628	C₂×Dic₇₉	—	2	1	no	—
629	C₂×Dic₇₉	—	2	1	no	—
630	C₂×Dic₇₉	—	2	1	no	—
631	C₂×Dic₇₉	—	2	1	no	—
632	C₂×Dic₇₉	—	2	1	no	—
633	C₂×Dic₇₉	—	2	1	no	—
634	C₂×Dic₇₉	—	2	1	no	—
635	C₂×Dic₇₉	—	2	1	no	—
636	C₂×Dic₇₉	—	2	1	no	—
637	C₂×Dic₇₉	—	2	1	no	—
638	C₂×Dic₇₉	—	2	1	no	—
639	C₂×Dic₇₉	—	2	1	no	—
640	C₂×Dic₇₉	—	2	1	no	—
641	C₂×Dic₇₉	—	2	1	no	—
642	C₂×Dic₇₉	—	2	1	no	—
643	C₂×Dic₇₉	—	2	1	no	—
644	C₂×Dic₇₉	—	2	1	no	—
645	C₂×Dic₇₉	—	2	1	no	—
646	C₂×Dic₇₉	—	2	1	no	—
647	C₂×Dic₇₉	—	2	1	no	—
648	C₂×Dic₇₉	—	2	1	no	—
649	C₂×Dic₇₉	—	2	1	no	—
650	C₂×Dic₇₉	—	2	1	no	—
651	C₂×Dic₇₉	—	2	1	no	—
652	C₂×Dic₇₉	—	2	1	no	—
653	C₂×Dic₇₉	—	2	1	no	—
654	C₂×Dic₇₉	—	2	1	no	—
655	C₂×Dic₇₉	—	2	1	no	—
656	C₂×Dic₇₉	—	2	1	no	—
657	C₂×Dic₇₉	—	2	1	no	—
658	C₂×Dic₇₉	—	2	1	no	—
659	C₂×Dic₇₉	—	2	1	no	—
660	C₂×Dic₇₉	—	2	1	no	—
661	C₂×Dic₇₉	—	4	4	no	—
662	C₂×Dic₇₉	—	4	4	no	—
663	C₂×Dic₇₉	C₂×#41	1	2	yes	—
664	D₃₁₆	—	8	2	no	—
665	D₃₁₆	—	8	2	no	—
666	C₄×D₇₉	—	4	4	no	—
667	C₄×D₇₉	—	8	2	no	—
668	C₄×D₇₉	—	8	2	no	—
669	C₂²×C₇₉	—	2	2	no	—
670	C₂²×C₇₉	—	2	2	no	—
671	C₂²×C₇₉	—	2	2	no	—
672	C₂²×C₇₉	—	4	1	no	—
673	C₂²×C₇₉	—	4	1	no	—
674	C₂²×C₇₉	—	4	1	no	—
675	C₂²×C₇₉	—	4	1	no	—
676	C₂²×C₇₉	—	4	1	no	—
677	C₂²×C₇₉	—	4	1	no	—
678	C₂²×C₇₉	—	4	1	no	—
679	C₂²×C₇₉	—	4	1	no	—
680	C₂²×C₇₉	—	4	1	no	—
681	C₂²×C₇₉	—	4	1	no	—
682	C₂²×C₇₉	—	4	1	no	—
683	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
684	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
685	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
686	C₂²×C₇₉	#585	1	1	yes	characteristic
687	C₂²×C₇₉	#585	1	1	yes	characteristic
688	C₂²×C₇₉	#585	1	1	yes	characteristic
689	C₂²×C₇₉	#585	1	1	yes	characteristic
690	C₂×D₇₉	—	2	2	no	—
691	C₂×D₇₉	—	2	2	no	—
692	C₂×D₇₉	—	2	2	no	—
693	C₂×D₇₉	—	4	1	no	—
694	C₂×D₇₉	—	4	1	no	—
695	C₂×D₇₉	—	4	1	no	—
696	C₂×D₇₉	—	4	1	no	—
697	C₂×D₇₉	—	4	1	no	—
698	C₂×D₇₉	—	4	1	no	—
699	C₂×D₇₉	—	4	1	no	—
700	C₂×D₇₉	—	4	1	no	—
701	C₂×D₇₉	—	4	1	no	—
702	C₂×D₇₉	—	4	1	no	—
703	C₂×D₇₉	—	4	1	no	—
704	C₂×D₇₉	—	4	1	no	—
705	C₂×D₇₉	—	4	1	no	—
706	C₂×D₇₉	—	4	1	no	—
707	C₂×D₇₉	—	4	1	no	—
708	C₂×D₇₉	—	4	1	no	—
709	C₂×D₇₉	—	4	1	no	—
710	C₂×D₇₉	—	4	1	no	—
711	C₂×D₇₉	—	8	8	no	—
712	C₄×C₇₉	—	2	2	no	—
713	C₄×C₇₉	—	2	2	no	—
714	C₄×C₇₉	—	4	1	no	—
715	C₄×C₇₉	—	4	1	no	—
716	C₄×C₇₉	—	4	1	no	—
717	C₄×C₇₉	—	4	1	no	—
718	C₄×C₇₉	—	4	1	no	—
719	C₄×C₇₉	—	4	1	no	—
720	C₄×C₇₉	—	4	1	no	—
721	C₄×C₇₉	—	4	1	no	—
722	C₄×C₇₉	—	4	1	no	—
723	C₄×C₇₉	—	4	1	no	—
724	C₄×C₇₉	—	4	1	no	—
725	Dic₇₉	—	2	2	no	—
726	Dic₇₉	—	4	1	no	—
727	Dic₇₉	—	4	1	no	—
728	Dic₇₉	—	4	1	no	—
729	Dic₇₉	—	4	1	no	—
730	Dic₇₉	—	4	1	no	—
731	Dic₇₉	—	4	1	no	—
732	Dic₇₉	—	4	1	no	—
733	Dic₇₉	—	4	1	no	—
734	Dic₇₉	—	4	1	no	—
735	Dic₇₉	—	4	1	no	—
736	Dic₇₉	—	4	1	no	—
737	Dic₇₉	—	4	1	no	—
738	#36784	—	79	1	no	maximal, Sylow
739	C₂×C₇₉	—	4	2	no	—
740	C₂×C₇₉	—	8	1	no	—
741	C₂×C₇₉	#3455	1	1	yes	characteristic
742	C₂×C₇₉	#3494	1	1	yes	characteristic
743	C₂×C₇₉	#3505	1	1	yes	characteristic
744	C₂×C₇₉	#3534	1	1	yes	characteristic
745	C₂×C₇₉	#3540	1	1	yes	characteristic
746	C₂×C₇₉	#3545	1	1	yes	characteristic
747	C₂×C₇₉	#3566	1	1	yes	characteristic
748	D₇₉	—	4	2	no	—
749	D₇₉	—	8	1	no	—
750	D₇₉	—	8	1	no	—
751	#2853	—	79	1	no	—
752	#2850	—	79	1	no	—
753	#2783	—	79	1	no	—
754	#2779	—	79	1	no	—
755	#2772	—	79	1	no	—
756	#2757	—	79	1	no	—
757	#2753	—	79	1	no	—
758	#2744	—	79	1	no	—
759	#2737	—	79	1	no	—
760	#2735	—	79	1	no	—
761	#2731	—	79	1	no	—
762	#2701	—	79	1	no	—
763	#2693	—	79	1	no	—
764	#2687	—	79	1	no	—
765	#2684	—	79	1	no	—
766	#2684	—	79	1	no	—
767	#2678	—	79	1	no	—
768	#2674	D₇₉	1	1	yes	characteristic, complemented
769	#2651	—	79	1	no	—
770	#2650	—	79	1	no	—
771	#2602	—	79	1	no	—
772	#2595	—	79	1	no	—
773	#2557	—	79	1	no	—
774	#2534	—	79	1	no	—
775	#2532	—	79	1	no	—
776	#2531	—	79	1	no	—
777	#2439	—	79	1	no	—
778	#2411	—	79	1	no	—
779	#2335	—	79	1	no	—
780	#2312	—	79	1	no	—
781	#2290	—	79	1	no	—
782	C₇₉	#36784	1	1	yes	characteristic, complemented, Sylow
783	C₂×C₄⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
784	C₂×#124	—	79	1	no	—
785	C₂×#124	C₂×D₇₉	1	1	yes	characteristic
786	C₂×#123	—	79	1	no	—
787	C₂×#123	—	79	1	no	—
788	C₂×#123	—	79	1	no	—
789	C₂×#123	C₂×D₇₉	1	1	yes	characteristic
790	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
791	C₂×#121	—	79	1	no	—
792	C₂×#120	—	79	1	no	—
793	C₂×#120	—	79	1	no	—
794	C₂×C₄×D₄	—	79	1	no	—
795	C₂×#117	—	79	1	no	—
796	C₂²×C₂²⋊C₄	—	79	1	no	—
797	C₂²×C₄²	—	79	1	no	—
798	#400	—	79	1	no	—
799	#400	—	79	1	no	—
800	#400	—	79	1	no	—
801	#400	—	79	1	no	—
802	#400	—	79	1	no	—
803	#399	C₂×D₇₉	1	1	yes	characteristic
804	#398	—	79	1	no	—
805	#398	—	79	1	no	—
806	#398	—	79	1	no	—
807	#398	—	79	1	no	—
808	#397	—	79	1	no	—
809	#397	—	79	1	no	—
810	#397	—	79	1	no	—
811	#397	—	79	1	no	—
812	#397	—	79	1	no	—
813	#397	—	79	1	no	—
814	#397	—	79	1	no	—
815	#397	—	79	1	no	—
816	#397	—	79	1	no	—
817	#397	—	79	1	no	—
818	#397	—	79	1	no	—
819	#397	C₂×D₇₉	1	1	yes	characteristic, complemented
820	#396	—	79	1	no	—
821	#396	—	79	1	no	—
822	#396	—	79	1	no	—
823	#396	—	79	1	no	—
824	#396	—	79	1	no	—
825	#396	—	79	1	no	—
826	#396	—	79	1	no	—
827	#396	C₂×D₇₉	1	1	yes	characteristic
828	#395	C₂×D₇₉	1	1	yes	characteristic, complemented
829	#394	—	79	1	no	—
830	#394	—	79	1	no	—
831	#394	—	79	1	no	—
832	#394	—	79	1	no	—
833	#394	—	79	1	no	—
834	#394	—	79	1	no	—
835	#394	—	79	1	no	—
836	#394	—	79	1	no	—
837	#394	—	79	1	no	—
838	#394	C₂×D₇₉	1	1	yes	characteristic
839	#393	—	79	1	no	—
840	#393	—	79	1	no	—
841	#393	—	79	1	no	—
842	#393	—	79	1	no	—
843	#393	C₂×D₇₉	1	1	yes	characteristic
844	#392	—	79	1	no	—
845	#392	—	79	1	no	—
846	#391	—	79	1	no	—
847	#391	—	79	1	no	—
848	#391	—	79	1	no	—
849	#390	—	79	1	no	—
850	#390	—	79	1	no	—
851	#390	—	79	1	no	—
852	#390	—	79	1	no	—
853	#390	—	79	1	no	—
854	#389	—	79	1	no	—
855	#389	—	79	1	no	—
856	#389	—	79	1	no	—
857	#389	C₂×D₇₉	1	1	yes	characteristic, complemented
858	#388	—	79	1	no	—
859	#388	—	79	1	no	—
860	#388	—	79	1	no	—
861	#388	—	79	1	no	—
862	#388	—	79	1	no	—
863	#388	—	79	1	no	—
864	#388	—	79	1	no	—
865	#388	—	79	1	no	—
866	#388	—	79	1	no	—
867	#388	—	79	1	no	—
868	#388	—	79	1	no	—
869	#388	—	79	1	no	—
870	#388	—	79	1	no	—
871	#388	—	79	1	no	—
872	#388	—	79	1	no	—
873	#388	—	79	1	no	—
874	#388	—	79	1	no	—
875	#388	—	79	1	no	—
876	#388	—	79	1	no	—
877	#388	—	79	1	no	—
878	#388	—	79	1	no	—
879	#388	—	79	1	no	—
880	#388	—	79	1	no	—
881	#388	—	79	1	no	—
882	#388	—	79	1	no	—
883	#388	—	79	1	no	—
884	#388	—	79	1	no	—
885	#388	—	79	1	no	—
886	#388	C₂×D₇₉	1	1	yes	characteristic
887	#388	C₂×D₇₉	1	1	yes	characteristic, complemented
888	#387	—	79	1	no	—
889	#387	—	79	1	no	—
890	#387	—	79	1	no	—
891	#387	—	79	1	no	—
892	#387	—	79	1	no	—
893	#387	—	79	1	no	—
894	#387	—	79	1	no	—
895	#387	—	79	1	no	—
896	#387	—	79	1	no	—
897	#387	—	79	1	no	—
898	#387	—	79	1	no	—
899	#387	C₂×D₇₉	1	1	yes	characteristic, complemented
900	#386	—	79	1	no	—
901	#386	—	79	1	no	—
902	#386	—	79	1	no	—
903	#386	—	79	1	no	—
904	#386	—	79	1	no	—
905	#386	—	79	1	no	—
906	#386	—	79	1	no	—
907	#386	—	79	1	no	—
908	#386	—	79	1	no	—
909	#386	—	79	1	no	—
910	#386	—	79	1	no	—
911	#386	—	79	1	no	—
912	#385	—	79	1	no	—
913	#385	—	79	1	no	—
914	#385	—	79	1	no	—
915	#385	—	79	1	no	—
916	#385	—	79	1	no	—
917	#385	C₂×D₇₉	1	1	yes	characteristic, complemented
918	#383	—	79	1	no	—
919	#382	—	79	1	no	—
920	#382	—	79	1	no	—
921	#381	—	79	1	no	—
922	#381	—	79	1	no	—
923	#380	—	79	1	no	—
924	#380	—	79	1	no	—
925	#380	—	79	1	no	—
926	#380	—	79	1	no	—
927	#379	—	79	1	no	—
928	#379	—	79	1	no	—
929	#379	—	79	1	no	—
930	#379	—	79	1	no	—
931	C₄×C₄⋊C₄	—	79	1	no	—
932	C₄×C₄⋊C₄	—	79	1	no	—
933	C₄×C₂²⋊C₄	—	79	1	no	—
934	C₄×C₂²⋊C₄	—	79	1	no	—
935	C₄×C₂²⋊C₄	—	79	1	no	—
936	C₄×C₂²⋊C₄	—	79	1	no	—
937	#376	—	79	1	no	—
938	C₂⁵	—	79	1	no	—
939	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
940	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
941	C₂²×D₄	—	79	1	no	—
942	C₂²×D₄	—	79	1	no	—
943	C₂²×D₄	—	79	1	no	—
944	C₂²×D₄	—	79	1	no	—
945	C₂²×D₄	—	79	1	no	—
946	C₂²×D₄	—	79	1	no	—
947	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
948	C₂³×C₄	—	79	1	no	—
949	C₂³×C₄	—	79	1	no	—
950	C₂³×C₄	—	79	1	no	—
951	C₂³×C₄	—	79	1	no	—
952	C₂³×C₄	—	79	1	no	—
953	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
954	C₄⋊Q₈	—	4	2	no	—
955	#124	—	4	2	no	—
956	#124	—	316	2	no	—
957	#123	—	4	2	no	—
958	#123	—	316	2	no	—
959	#123	—	316	2	no	—
960	#123	—	158	4	no	—
961	C₂²⋊Q₈	—	4	2	no	—
962	#121	—	316	2	no	—
963	#120	—	316	2	no	—
964	#120	—	316	2	no	—
965	C₄×D₄	—	158	4	no	—
966	#117	—	316	2	no	—
967	C₂×C₄⋊C₄	—	79	1	no	—
968	C₂×C₄⋊C₄	—	79	1	no	—
969	C₂×C₄⋊C₄	—	79	1	no	—
970	C₂×C₄⋊C₄	—	79	1	no	—
971	C₂×C₄⋊C₄	—	79	1	no	—
972	C₂×C₄⋊C₄	—	79	1	no	—
973	C₂×C₄⋊C₄	—	79	1	no	—
974	C₂×C₄⋊C₄	—	79	1	no	—
975	C₂×C₄⋊C₄	—	79	1	no	—
976	C₂×C₄⋊C₄	—	79	1	no	—
977	C₂×C₄⋊C₄	—	79	1	no	—
978	C₂×C₄⋊C₄	—	79	1	no	—
979	C₂×C₄⋊C₄	—	79	1	no	—
980	C₂×C₄⋊C₄	—	79	1	no	—
981	C₂×C₄⋊C₄	—	79	1	no	—
982	C₂×C₄⋊C₄	—	79	1	no	—
983	C₂×C₄⋊C₄	—	79	1	no	—
984	C₂×C₄⋊C₄	—	79	1	no	—
985	C₂×C₄⋊C₄	—	79	1	no	—
986	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	—	79	1	no	—
997	C₂×C₂²⋊C₄	—	79	1	no	—
998	C₂×C₂²⋊C₄	—	79	1	no	—
999	C₂×C₂²⋊C₄	—	79	1	no	—
1000	C₂×C₂²⋊C₄	—	79	1	no	—
1001	C₂×C₂²⋊C₄	—	79	1	no	—
1002	C₂×C₂²⋊C₄	—	79	1	no	—
1003	C₂×C₂²⋊C₄	—	79	1	no	—
1004	C₂×C₂²⋊C₄	—	79	1	no	—
1005	C₂×C₂²⋊C₄	—	79	1	no	—
1006	C₂×C₂²⋊C₄	—	79	1	no	—
1007	C₂×C₂²⋊C₄	—	79	1	no	—
1008	C₂×C₂²⋊C₄	—	79	1	no	—
1009	C₂×C₂²⋊C₄	—	79	1	no	—
1010	C₂×C₂²⋊C₄	—	79	1	no	—
1011	C₂×C₂²⋊C₄	—	79	1	no	—
1012	C₂×C₂²⋊C₄	—	79	1	no	—
1013	C₂×C₂²⋊C₄	—	79	1	no	—
1014	C₂×C₂²⋊C₄	—	79	1	no	—
1015	C₂×C₂²⋊C₄	—	79	1	no	—
1016	C₂×C₂²⋊C₄	—	79	1	no	—
1017	C₂×C₂²⋊C₄	—	79	1	no	—
1018	C₂×C₂²⋊C₄	—	79	1	no	—
1019	C₂×C₂²⋊C₄	—	79	1	no	—
1020	C₂×C₂²⋊C₄	—	79	1	no	—
1021	C₂×C₂²⋊C₄	—	79	1	no	—
1022	C₂×C₂²⋊C₄	—	79	1	no	—
1023	C₂×C₂²⋊C₄	—	79	1	no	—
1024	C₂×C₂²⋊C₄	—	79	1	no	—
1025	C₂×C₂²⋊C₄	—	79	1	no	—
1026	C₂×C₂²⋊C₄	—	79	1	no	—
1027	C₂×C₂²⋊C₄	—	79	1	no	—
1028	C₂×C₂²⋊C₄	—	79	1	no	—
1029	C₂×C₂²⋊C₄	—	79	1	no	—
1030	C₂×C₂²⋊C₄	—	79	1	no	—
1031	C₂×C₂²⋊C₄	—	79	1	no	—
1032	C₂×C₂²⋊C₄	—	79	1	no	—
1033	C₂×C₂²⋊C₄	—	79	1	no	—
1034	C₂×C₂²⋊C₄	—	79	1	no	—
1035	C₂×C₂²⋊C₄	—	79	1	no	—
1036	C₂×C₂²⋊C₄	—	79	1	no	—
1037	C₂×C₂²⋊C₄	—	158	4	no	—
1038	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1049	C₂×C₄²	—	316	2	no	—
1050	C₂×C₄²	—	79	1	no	—
1051	C₂×C₄²	—	79	1	no	—
1052	C₂×C₄²	—	79	1	no	—
1053	C₂×C₄²	—	79	1	no	—
1054	C₂×C₄²	—	79	1	no	—
1055	C₂×C₄²	—	79	1	no	—
1056	C₂×C₄²	—	79	1	no	—
1057	C₂×C₄²	—	79	1	no	—
1058	C₂×C₄²	—	79	1	no	—
1059	C₂×C₄²	—	79	1	no	—
1060	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1061	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1062	#95	—	79	1	no	—
1063	#95	—	79	1	no	—
1064	#95	—	79	1	no	—
1065	#95	—	79	1	no	—
1066	#95	—	79	1	no	—
1067	#95	—	79	1	no	—
1068	#95	—	79	1	no	—
1069	#95	—	79	1	no	—
1070	#95	—	79	1	no	—
1071	#95	—	79	1	no	—
1072	#95	—	79	1	no	—
1073	#95	—	79	1	no	—
1074	#95	—	79	1	no	—
1075	#95	—	79	1	no	—
1076	#95	—	79	1	no	—
1077	#95	—	79	1	no	—
1078	#95	—	79	1	no	—
1079	#95	—	79	1	no	—
1080	#95	—	79	1	no	—
1081	#95	—	79	1	no	—
1082	#95	—	79	1	no	—
1083	#95	—	79	1	no	—
1084	#95	—	79	1	no	—
1085	#95	—	79	1	no	—
1086	#95	—	79	1	no	—
1087	#95	—	79	1	no	—
1088	#95	—	79	1	no	—
1089	#95	—	79	1	no	—
1090	#95	—	79	1	no	—
1091	#95	—	79	1	no	—
1092	#95	—	79	1	no	—
1093	#95	—	79	1	no	—
1094	#95	—	79	1	no	—
1095	#95	—	79	1	no	—
1096	#95	—	79	1	no	—
1097	#95	—	79	1	no	—
1098	#95	—	79	1	no	—
1099	#95	—	79	1	no	—
1100	#95	C₂²×D₇₉	1	1	yes	characteristic
1101	#95	C₂²×D₇₉	1	1	yes	characteristic
1102	#95	C₂²×D₇₉	1	1	yes	characteristic
1103	#95	C₂²×D₇₉	1	1	yes	characteristic
1104	#95	C₂²×D₇₉	1	1	yes	characteristic
1105	#95	C₂²×D₇₉	1	1	yes	characteristic
1106	#95	C₂²×D₇₉	1	1	yes	characteristic
1107	#95	C₂²×D₇₉	1	1	yes	characteristic
1108	C₂⁴	—	316	1	no	—
1109	C₂⁴	—	316	1	no	—
1110	C₂⁴	—	316	1	no	—
1111	C₂⁴	—	316	1	no	—
1112	C₂⁴	—	316	1	no	—
1113	C₂⁴	—	316	1	no	—
1114	C₂⁴	—	79	1	no	—
1115	C₂⁴	—	79	1	no	—
1116	C₂⁴	—	79	1	no	—
1117	C₂⁴	—	158	2	no	—
1118	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1119	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1120	C₂×Q₈	—	2	2	no	—
1121	C₂×Q₈	—	4	1	no	—
1122	C₂×Q₈	—	4	1	no	—
1123	C₂×Q₈	—	4	1	no	—
1124	C₂×Q₈	—	4	1	no	—
1125	C₂×Q₈	—	4	1	no	—
1126	C₂×D₄	—	2	2	no	—
1127	C₂×D₄	—	4	1	no	—
1128	C₂×D₄	—	4	1	no	—
1129	C₂×D₄	—	316	1	no	—
1130	C₂×D₄	—	316	1	no	—
1131	C₂×D₄	—	316	1	no	—
1132	C₂×D₄	—	316	1	no	—
1133	C₂×D₄	—	316	1	no	—
1134	C₂×D₄	—	316	1	no	—
1135	C₂×D₄	—	316	1	no	—
1136	C₂×D₄	—	316	1	no	—
1137	C₂×D₄	—	316	1	no	—
1138	C₂×D₄	—	316	1	no	—
1139	C₂×D₄	—	316	1	no	—
1140	C₂×D₄	—	316	1	no	—
1141	C₂×D₄	—	158	2	no	—
1142	C₂×D₄	—	158	2	no	—
1143	C₂×D₄	—	158	2	no	—
1144	C₂×D₄	—	158	2	no	—
1145	C₂×D₄	—	158	2	no	—
1146	C₂×D₄	—	158	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	2	2	no	—
1149	C₂²×C₄	—	4	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	—	316	1	no	—
1157	C₂²×C₄	—	316	1	no	—
1158	C₂²×C₄	—	316	1	no	—
1159	C₂²×C₄	—	316	1	no	—
1160	C₂²×C₄	—	316	1	no	—
1161	C₂²×C₄	—	316	1	no	—
1162	C₂²×C₄	—	79	4	no	—
1163	C₂²×C₄	—	79	1	no	—
1164	C₂²×C₄	—	79	1	no	—
1165	C₂²×C₄	—	79	1	no	—
1166	C₂²×C₄	—	79	1	no	—
1167	C₂²×C₄	—	79	1	no	—
1168	C₂²×C₄	—	79	1	no	—
1169	C₂²×C₄	—	79	1	no	—
1170	C₂²×C₄	—	79	1	no	—
1171	C₂²×C₄	—	79	1	no	—
1172	C₂²×C₄	—	79	1	no	—
1173	C₂²×C₄	—	79	1	no	—
1174	C₂²×C₄	—	79	1	no	—
1175	C₂²×C₄	—	79	1	no	—
1176	C₂²×C₄	—	158	2	no	—
1177	C₂²×C₄	—	158	2	no	—
1178	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1191	C₄⋊C₄	—	2	2	no	—
1192	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	2	2	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	4	1	no	—
1199	C₄⋊C₄	—	4	1	no	—
1200	C₄⋊C₄	—	4	1	no	—
1201	C₄⋊C₄	—	316	1	no	—
1202	C₄⋊C₄	—	316	1	no	—
1203	C₄⋊C₄	—	316	1	no	—
1204	C₄⋊C₄	—	316	1	no	—
1205	C₄⋊C₄	—	316	1	no	—
1206	C₄⋊C₄	—	316	1	no	—
1207	C₄⋊C₄	—	316	1	no	—
1208	C₄⋊C₄	—	316	1	no	—
1209	C₄⋊C₄	—	316	1	no	—
1210	C₄⋊C₄	—	316	1	no	—
1211	C₄⋊C₄	—	316	1	no	—
1212	C₄⋊C₄	—	316	1	no	—
1213	C₄⋊C₄	—	316	1	no	—
1214	C₄⋊C₄	—	316	1	no	—
1215	C₄⋊C₄	—	316	1	no	—
1216	C₄⋊C₄	—	316	1	no	—
1217	C₄⋊C₄	—	316	1	no	—
1218	C₄⋊C₄	—	158	2	no	—
1219	C₄⋊C₄	—	158	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	2	2	no	—
1225	C₂²⋊C₄	—	2	2	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	316	1	no	—
1232	C₂²⋊C₄	—	316	1	no	—
1233	C₂²⋊C₄	—	316	1	no	—
1234	C₂²⋊C₄	—	316	1	no	—
1235	C₂²⋊C₄	—	316	1	no	—
1236	C₂²⋊C₄	—	316	1	no	—
1237	C₂²⋊C₄	—	316	1	no	—
1238	C₂²⋊C₄	—	316	1	no	—
1239	C₂²⋊C₄	—	316	1	no	—
1240	C₂²⋊C₄	—	316	1	no	—
1241	C₂²⋊C₄	—	316	1	no	—
1242	C₂²⋊C₄	—	316	1	no	—
1243	C₂²⋊C₄	—	316	1	no	—
1244	C₂²⋊C₄	—	316	1	no	—
1245	C₂²⋊C₄	—	316	1	no	—
1246	C₂²⋊C₄	—	316	1	no	—
1247	C₂²⋊C₄	—	316	1	no	—
1248	C₂²⋊C₄	—	316	1	no	—
1249	C₂²⋊C₄	—	316	1	no	—
1250	C₂²⋊C₄	—	316	1	no	—
1251	C₂²⋊C₄	—	316	1	no	—
1252	C₂²⋊C₄	—	316	1	no	—
1253	C₂²⋊C₄	—	316	1	no	—
1254	C₂²⋊C₄	—	316	1	no	—
1255	C₂²⋊C₄	—	316	1	no	—
1256	C₂²⋊C₄	—	316	1	no	—
1257	C₂²⋊C₄	—	316	1	no	—
1258	C₂²⋊C₄	—	316	1	no	—
1259	C₂²⋊C₄	—	316	1	no	—
1260	C₂²⋊C₄	—	316	1	no	—
1261	C₂²⋊C₄	—	316	1	no	—
1262	C₂²⋊C₄	—	316	1	no	—
1263	C₂²⋊C₄	—	158	2	no	—
1264	C₂²⋊C₄	—	158	2	no	—
1265	C₂²⋊C₄	—	158	2	no	—
1266	C₂²⋊C₄	—	158	2	no	—
1267	C₂²⋊C₄	—	158	2	no	—
1268	C₂²⋊C₄	—	158	2	no	—
1269	C₂²⋊C₄	—	158	2	no	—
1270	C₂²⋊C₄	—	158	2	no	—
1271	C₂²⋊C₄	—	158	2	no	—
1272	C₄²	—	4	1	no	—
1273	C₄²	—	4	1	no	—
1274	C₄²	—	316	1	no	—
1275	C₄²	—	316	1	no	—
1276	C₄²	—	316	1	no	—
1277	C₄²	—	316	1	no	—
1278	C₄²	—	316	1	no	—
1279	C₄²	—	316	1	no	—
1280	C₄²	—	316	1	no	—
1281	C₄²	—	158	2	no	—
1282	C₄²	—	158	2	no	—
1283	C₄²	—	158	2	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	316	4	no	—
1298	C₂³	—	79	2	no	—
1299	C₂³	—	632	2	no	—
1300	C₂³	—	632	2	no	—
1301	C₂³	—	632	2	no	—
1302	C₂³	—	632	2	no	—
1303	C₂³	—	632	2	no	—
1304	C₂³	—	632	2	no	—
1305	C₂³	—	158	1	no	—
1306	C₂³	—	158	1	no	—
1307	C₂³	—	158	1	no	—
1308	C₂³	—	158	1	no	—
1309	C₂³	—	158	1	no	—
1310	C₂³	—	158	1	no	—
1311	C₂³	—	158	1	no	—
1312	C₂³	—	158	1	no	—
1313	C₂³	—	158	1	no	—
1314	C₂³	—	158	1	no	—
1315	C₂³	—	158	1	no	—
1316	C₂³	—	158	1	no	—
1317	C₂³	—	158	1	no	—
1318	C₂³	—	158	1	no	—
1319	C₂³	—	158	1	no	—
1320	C₂³	—	158	1	no	—
1321	C₂³	—	158	1	no	—
1322	C₂³	—	158	1	no	—
1323	C₂³	—	158	1	no	—
1324	C₂³	—	158	1	no	—
1325	C₂³	#14579206	1	2	yes	—
1326	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1327	Q₈	—	8	2	no	—
1328	Q₈	—	8	2	no	—
1329	D₄	—	8	2	no	—
1330	D₄	—	316	4	no	—
1331	D₄	—	632	2	no	—
1332	D₄	—	632	2	no	—
1333	D₄	—	632	2	no	—
1334	D₄	—	632	2	no	—
1335	D₄	—	632	2	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	4	4	no	—
1374	C₂×C₄	—	316	4	no	—
1375	C₂×C₄	—	316	4	no	—
1376	C₂×C₄	—	316	4	no	—
1377	C₂×C₄	—	79	2	no	—
1378	C₂×C₄	—	632	2	no	—
1379	C₂×C₄	—	632	2	no	—
1380	C₂×C₄	—	158	1	no	—
1381	C₂×C₄	—	158	1	no	—
1382	C₂×C₄	—	158	1	no	—
1383	C₂×C₄	—	158	1	no	—
1384	C₂×C₄	—	158	1	no	—
1385	C₂×C₄	—	158	1	no	—
1386	C₂×C₄	—	158	1	no	—
1387	C₂×C₄	—	158	1	no	—
1388	C₂×C₄	—	158	1	no	—
1389	C₂×C₄	—	158	1	no	—
1390	C₂×C₄	—	158	1	no	—
1391	C₂×C₄	—	158	1	no	—
1392	C₂×C₄	—	158	1	no	—
1393	C₂×C₄	—	158	1	no	—
1394	C₂×C₄	—	158	1	no	—
1395	C₂×C₄	—	158	1	no	—
1396	C₂×C₄	—	158	1	no	—
1397	C₂×C₄	—	158	1	no	—
1398	C₂×C₄	—	158	1	no	—
1399	C₂×C₄	—	158	1	no	—
1400	C₂×C₄	—	158	1	no	—
1401	C₂×C₄	—	158	1	no	—
1402	C₂×C₄	—	158	1	no	—
1403	C₂×C₄	—	158	1	no	—
1404	C₂×C₄	—	158	1	no	—
1405	C₂×C₄	—	158	1	no	—
1406	C₂×C₄	—	158	1	no	—
1407	C₂×C₄	—	158	1	no	—
1408	C₂×C₄	—	158	1	no	—
1409	C₂×C₄	—	158	1	no	—
1410	C₂×C₄	—	158	1	no	—
1411	C₂×C₄	—	158	1	no	—
1412	C₂×C₄	—	158	1	no	—
1413	C₂×C₄	—	158	1	no	—
1414	C₂×C₄	—	158	1	no	—
1415	C₂×C₄	—	158	1	no	—
1416	C₂×C₄	—	158	1	no	—
1417	C₂×C₄	—	158	1	no	—
1418	C₂×C₄	#41×D₇₉	1	2	yes	—
1419	C₂×C₄	#14579206	1	2	yes	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	316	1	no	—
1435	C₂²	—	316	1	no	—
1436	C₂²	—	316	1	no	—
1437	C₂²	—	316	1	no	—
1438	C₂²	—	316	1	no	—
1439	C₂²	—	316	1	no	—
1440	C₂²	—	316	1	no	—
1441	C₂²	—	316	1	no	—
1442	C₂²	—	316	1	no	—
1443	C₂²	—	316	1	no	—
1444	C₂²	—	316	1	no	—
1445	C₂²	—	316	1	no	—
1446	C₂²	—	316	1	no	—
1447	C₂²	—	316	1	no	—
1448	C₂²	—	316	1	no	—
1449	C₂²	—	316	1	no	—
1450	C₂²	—	316	1	no	—
1451	C₂²	—	316	1	no	—
1452	C₂²	—	632	8	no	—
1453	C₂²	—	158	2	no	—
1454	C₂²	—	158	2	no	—
1455	C₂²	—	158	2	no	—
1456	C₂²	C₂×#41×D₇₉	1	1	yes	characteristic
1457	C₂²	C₂×#14579206	1	1	yes	characteristic
1458	C₂²	C₂×#14579206	1	1	yes	characteristic
1459	C₂²	#19099398	1	1	yes	characteristic
1460	C₂²	#19099400	1	1	yes	characteristic
1461	C₂²	#19099400	1	1	yes	characteristic
1462	C₂²	#19099400	1	1	yes	characteristic
1463	C₄	—	2	2	no	—
1464	C₄	—	2	2	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	316	1	no	—
1477	C₄	—	316	1	no	—
1478	C₄	—	316	1	no	—
1479	C₄	—	316	1	no	—
1480	C₄	—	316	1	no	—
1481	C₄	—	316	1	no	—
1482	C₄	—	316	1	no	—
1483	C₄	—	316	1	no	—
1484	C₄	—	316	1	no	—
1485	C₄	—	316	1	no	—
1486	C₄	—	316	1	no	—
1487	C₄	—	316	1	no	—
1488	C₄	—	158	2	no	—
1489	C₂	—	4	2	no	—
1490	C₂	—	8	1	no	—
1491	C₂	—	316	2	no	—
1492	C₂	—	632	1	no	—
1493	C₂	—	632	1	no	—
1494	C₂	#23776787	1	1	yes	characteristic
1495	C₂	#23777124	1	1	yes	characteristic
1496	C₂	#23777236	1	1	yes	characteristic
1497	C₂	#23777578	1	1	yes	characteristic
1498	C₂	#23777677	1	1	yes	characteristic
1499	C₂	#23777754	1	1	yes	characteristic
1500	C₂	#23778081	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₉
commutator, socle, cosocle	C₂³×C₇₉	C₂⁵
Fitting	C₇₉×#2674	C₂
prime radical	#23769719	C₂
hypercenter	#2674	D₇₉
hypocenter	C₇₉	#36784
LCS	G ▷ C₂³×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ #2674

Complements

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

N	H ≅ G/N	type
1. #23771719	C₂	semidirect
2. #23771703	C₂	semidirect
3. #23771089	C₂	semidirect
4. #23771036	C₂	semidirect
5. #23770925	C₂	semidirect
6. #23770732	C₂	semidirect
7. #23770670	C₂	semidirect
8. #23770551	C₂	semidirect
9. #23770462	C₂	semidirect
10. #23770442	C₂	semidirect
11. #23770406	C₂	semidirect
12. #23770017	C₂	semidirect
13. #23769904	C₂	semidirect
14. #23769817	C₂	semidirect
15. #23769783	C₂	semidirect
16. #23769776	C₂	semidirect
18. #23769426	C₂	semidirect
19. #23769421	C₂	semidirect
20. #23769017	C₂	semidirect
21. #23768924	C₂	semidirect
22. #23768497	C₂	semidirect
23. #23768285	C₂	semidirect
24. #23768255	C₂	semidirect
25. #23768253	C₂	semidirect
26. #23767087	C₂	semidirect
27. #23766780	C₂	semidirect
28. #23766193	C₂	semidirect
29. #23765994	C₂	semidirect
30. #23765836	C₂	semidirect
31. C₇₉×#2674	C₂	semidirect
35. C₂×#14579143	C₂²	semidirect
42. C₂²×C₄×Dic₇₉	C₂²	semidirect
43. #19098505	C₂²	semidirect
44. #19098505	C₂²	semidirect
45. #19098504	C₂²	semidirect
46. #19098503	C₂²	semidirect
47. #19098501	C₂²	semidirect
48. #19098497	C₂²	semidirect
49. #19098497	C₂²	semidirect
50. #19098496	C₂²	semidirect
51. #19098493	C₂²	semidirect
57. #19098491	C₂²	semidirect
59. #19098490	C₂²	semidirect
61. #19098489	C₂²	semidirect
69. #19098485	C₂²	semidirect
82. #19098474	C₂²	semidirect
85. #19098470	C₂²	semidirect
86. #19098470	C₂²	semidirect
87. #19098470	C₂²	semidirect
92. #19098463	C₂²	semidirect
93. #19098462	C₂²	semidirect
94. #19098461	C₂²	semidirect
95. #19098458	C₂²	semidirect
100. #19098456	C₂²	semidirect
106. #19098454	C₂²	semidirect
112. #19098453	C₂²	semidirect
113. #19098453	C₂²	semidirect
114. #19098453	C₂²	semidirect
118. #19098452	C₂²	semidirect
124. #19098450	C₂²	semidirect
125. #19098449	C₂²	semidirect
126. #19098448	C₂²	semidirect
127. #19098447	C₂²	semidirect
128. #19098445	C₂²	semidirect
129. #19098444	C₂²	semidirect
130. #19098444	C₂²	semidirect
131. #19098444	C₂²	semidirect
132. #19098444	C₂²	semidirect
133. #19098444	C₂²	semidirect
134. #19098444	C₂²	semidirect
144. #19098440	C₂²	semidirect
145. #19098440	C₂²	semidirect
147. #19098438	C₂²	semidirect
148. #19098437	C₂²	semidirect
149. #19098435	C₂²	semidirect
150. #19098435	C₂²	semidirect
152. #19098430	C₂²	semidirect
153. #19098428	C₂²	semidirect
154. #19098428	C₂²	semidirect
155. #19098426	C₂²	semidirect
158. #19098422	C₂²	semidirect
165. C₄⋊C₄×Dic₇₉	C₂²	semidirect
166. #19098414	C₂²	semidirect
167. C₂²⋊C₄×Dic₇₉	C₂²	semidirect
169. C₄×(C₂×D₇₉)⋊C₄	C₂²	semidirect
171. #19098408	C₂²	semidirect
172. C₂×C₄⋊Q₈×C₇₉	C₂²	semidirect
175. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
177. #397×C₇₉	C₂²	semidirect
179. #395×C₇₉	C₂²	semidirect
182. #389×C₇₉	C₂²	semidirect
184. #388×C₇₉	C₂²	semidirect
185. #387×C₇₉	C₂²	semidirect
186. #385×C₇₉	C₂²	semidirect
768. #2674	D₇₉	semidirect
782. C₇₉	#36784	semidirect
783. C₂×C₄⋊Q₈	C₂×D₇₉	semidirect
790. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
819. #397	C₂×D₇₉	semidirect
828. #395	C₂×D₇₉	semidirect
857. #389	C₂×D₇₉	semidirect
887. #388	C₂×D₇₉	semidirect
899. #387	C₂×D₇₉	semidirect
917. #385	C₂×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#23771719	2
#23771703	2
#23771089	2
#23771036	2
#23770925	2
#23770732	2
#23770670	2
#23770551	2
#23770462	2
#23770442	2
#23770406	2
#23770017	2
#23769904	2
#23769817	2
#23769783	2
#23769776	2
#23769719	2
#23769426	2
#23769421	2
#23769017	2
#23768924	2
#23768497	2
#23768285	2
#23768255	2
#23768253	2
#23767087	2
#23766780	2
#23766193	2
#23765994	2
#23765836	2
C₇₉×#2674	2
#36784	79