Subgroups — #34496716

Order 20224.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23771713	C₂	1	1	yes	maximal, characteristic, complemented
2	#23771706	C₂	1	1	yes	maximal, characteristic, complemented
3	#23771113	C₂	1	1	yes	maximal, characteristic, complemented
4	#23771073	C₂	1	1	yes	maximal, characteristic, complemented
5	#23770908	C₂	1	1	yes	maximal, characteristic, complemented
6	#23770905	C₂	1	1	yes	maximal, characteristic, complemented
7	#23770596	C₂	1	1	yes	maximal, characteristic, complemented
8	#23770588	C₂	1	1	yes	maximal, characteristic, complemented
9	#23770563	C₂	1	1	yes	maximal, characteristic, complemented
10	#23770552	C₂	1	1	yes	maximal, characteristic, complemented
11	#23770548	C₂	1	1	yes	maximal, characteristic, complemented
12	#23770537	C₂	1	1	yes	maximal, characteristic, complemented
13	#23770468	C₂	1	1	yes	maximal, characteristic, complemented
14	#23770453	C₂	1	1	yes	maximal, characteristic, complemented
15	#23770316	C₂	1	1	yes	maximal, characteristic, complemented
16	#23769930	C₂	1	1	yes	maximal, characteristic, complemented
17	#23769915	C₂	1	1	yes	maximal, characteristic, complemented
18	#23769863	C₂	1	1	yes	maximal, characteristic, complemented
19	#23769219	C₂	1	1	yes	maximal, characteristic, complemented
20	#23769184	C₂	1	1	yes	maximal, characteristic, complemented
21	#23767895	C₂	1	1	yes	maximal, characteristic, complemented
22	#23767779	C₂	1	1	yes	maximal, characteristic, complemented
23	#23767681	C₂	1	1	yes	maximal, characteristic, complemented
24	#23767218	C₂	1	1	yes	maximal, characteristic, complemented
25	#23767066	C₂	1	1	yes	maximal, characteristic, complemented
26	#23766871	C₂	1	1	yes	maximal, characteristic, complemented
27	#23766797	C₂	1	1	yes	maximal, characteristic
28	#23766797	C₂	1	1	yes	maximal, characteristic
29	#23766012	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#19098457	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₉×#2321	C₂	1	1	yes	maximal, characteristic
32	C₂×#14579154	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14579151	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14579142	C₂²	1	1	yes	characteristic
35	C₂×#14579142	C₂²	1	1	yes	characteristic
36	C₂×#14579138	C₂²	1	1	yes	characteristic
37	C₂×#14579138	C₂²	1	1	yes	characteristic
38	C₂²×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
40	C₂²×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
41	C₂²×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
42	C₂²×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
43	C₂²×C₄×Dic₇₉	C₂²	1	1	yes	characteristic
44	C₇₉⋊#401	C₂²	1	1	yes	characteristic, complemented
45	#19098505	C₂²	1	1	yes	characteristic, complemented
46	#19098505	C₂²	1	1	yes	characteristic, complemented
47	#19098505	C₂²	1	1	yes	characteristic, complemented
48	#19098504	C₂²	1	1	yes	characteristic, complemented
49	#19098504	C₂²	1	1	yes	characteristic, complemented
50	#19098504	C₂²	1	1	yes	characteristic, complemented
51	#19098504	C₂²	1	1	yes	characteristic, complemented
52	#19098504	C₂²	1	1	yes	characteristic, complemented
53	#19098504	C₂²	1	1	yes	characteristic, complemented
54	#19098504	C₂²	1	1	yes	characteristic, complemented
55	#19098502	C₂²	1	1	yes	characteristic, complemented
56	#19098501	C₂²	1	1	yes	characteristic, complemented
57	#19098499	C₂²	1	1	yes	characteristic
58	#19098499	C₂²	1	1	yes	characteristic, complemented
59	#19098499	C₂²	1	1	yes	characteristic, complemented
60	#19098497	C₂²	1	1	yes	characteristic, complemented
61	#19098497	C₂²	1	1	yes	characteristic, complemented
62	#19098497	C₂²	1	1	yes	characteristic, complemented
63	#19098497	C₂²	1	1	yes	characteristic, complemented
64	#19098497	C₂²	1	1	yes	characteristic, complemented
65	#19098496	C₂²	1	1	yes	characteristic, complemented
66	#19098494	C₂²	1	1	yes	characteristic, complemented
67	#19098494	C₂²	1	1	yes	characteristic, complemented
68	#19098494	C₂²	1	1	yes	characteristic, complemented
69	#19098491	C₂²	1	1	yes	characteristic
70	#19098491	C₂²	1	1	yes	characteristic
71	#19098491	C₂²	1	1	yes	characteristic
72	#19098491	C₂²	1	1	yes	characteristic
73	#19098491	C₂²	1	1	yes	characteristic, complemented
74	#19098491	C₂²	1	1	yes	characteristic, complemented
75	#19098491	C₂²	1	1	yes	characteristic, complemented
76	#19098491	C₂²	1	1	yes	characteristic, complemented
77	#19098488	C₂²	1	1	yes	characteristic
78	#19098488	C₂²	1	1	yes	characteristic
79	#19098488	C₂²	1	1	yes	characteristic
80	#19098488	C₂²	1	1	yes	characteristic
81	#19098486	C₂²	1	1	yes	characteristic
82	#19098486	C₂²	1	1	yes	characteristic
83	#19098486	C₂²	1	1	yes	characteristic, complemented
84	#19098483	C₂²	1	1	yes	characteristic, complemented
85	#19098483	C₂²	1	1	yes	characteristic, complemented
86	#19098477	C₂²	1	1	yes	characteristic
87	#19098477	C₂²	1	1	yes	characteristic
88	#19098477	C₂²	1	1	yes	characteristic
89	#19098477	C₂²	1	1	yes	characteristic
90	#19098475	C₂²	1	1	yes	characteristic
91	#19098475	C₂²	1	1	yes	characteristic, complemented
92	#19098469	C₂²	1	1	yes	characteristic, complemented
93	#19098461	C₂²	1	1	yes	characteristic, complemented
94	#19098460	C₂²	1	1	yes	characteristic, complemented
95	#19098458	C₂²	1	1	yes	characteristic, complemented
96	#19098457	C₂²	1	1	yes	characteristic
97	#19098457	C₂²	1	1	yes	characteristic
98	#19098457	C₂²	1	1	yes	characteristic
99	#19098457	C₂²	1	1	yes	characteristic
100	#19098457	C₂²	1	1	yes	characteristic
101	#19098457	C₂²	1	1	yes	characteristic
102	#19098457	C₂²	1	1	yes	characteristic
103	#19098457	C₂²	1	1	yes	characteristic
104	#19098457	C₂²	1	1	yes	characteristic, complemented
105	#19098456	C₂²	1	1	yes	characteristic, complemented
106	#19098451	C₂²	1	1	yes	characteristic, complemented
107	#19098450	C₂²	1	1	yes	characteristic, complemented
108	#19098449	C₂²	1	1	yes	characteristic, complemented
109	#19098448	C₂²	1	1	yes	characteristic, complemented
110	#19098448	C₂²	1	1	yes	characteristic, complemented
111	#19098447	C₂²	1	1	yes	characteristic, complemented
112	#19098447	C₂²	1	1	yes	characteristic, complemented
113	#19098447	C₂²	1	1	yes	characteristic, complemented
114	#19098447	C₂²	1	1	yes	characteristic, complemented
115	#19098447	C₂²	1	1	yes	characteristic, complemented
116	#19098447	C₂²	1	1	yes	characteristic, complemented
117	#19098447	C₂²	1	1	yes	characteristic, complemented
118	#19098447	C₂²	1	1	yes	characteristic, complemented
119	#19098445	C₂²	1	1	yes	characteristic, complemented
120	#19098445	C₂²	1	1	yes	characteristic, complemented
121	#19098444	C₂²	1	1	yes	characteristic, complemented
122	#19098443	C₂²	1	1	yes	characteristic
123	#19098443	C₂²	1	1	yes	characteristic
124	#19098443	C₂²	1	1	yes	characteristic
125	#19098443	C₂²	1	1	yes	characteristic
126	#19098443	C₂²	1	1	yes	characteristic
127	#19098443	C₂²	1	1	yes	characteristic
128	#19098438	C₂²	1	1	yes	characteristic
129	#19098438	C₂²	1	1	yes	characteristic
130	#19098438	C₂²	1	1	yes	characteristic
131	#19098438	C₂²	1	1	yes	characteristic
132	#19098438	C₂²	1	1	yes	characteristic
133	#19098438	C₂²	1	1	yes	characteristic
134	#19098436	C₂²	1	1	yes	characteristic
135	#19098436	C₂²	1	1	yes	characteristic
136	#19098436	C₂²	1	1	yes	characteristic
137	#19098436	C₂²	1	1	yes	characteristic
138	#19098436	C₂²	1	1	yes	characteristic, complemented
139	#19098436	C₂²	1	1	yes	characteristic, complemented
140	#19098435	C₂²	1	1	yes	characteristic
141	#19098435	C₂²	1	1	yes	characteristic
142	#19098435	C₂²	1	1	yes	characteristic
143	#19098435	C₂²	1	1	yes	characteristic
144	#19098435	C₂²	1	1	yes	characteristic
145	#19098435	C₂²	1	1	yes	characteristic
146	#19098435	C₂²	1	1	yes	characteristic
147	#19098435	C₂²	1	1	yes	characteristic
148	#19098431	C₂²	1	1	yes	characteristic, complemented
149	#19098430	C₂²	1	1	yes	characteristic, complemented
150	#19098429	C₂²	1	1	yes	characteristic, complemented
151	#19098427	C₂²	1	1	yes	characteristic, complemented
152	#19098426	C₂²	1	1	yes	characteristic, complemented
153	#19098424	C₂²	1	1	yes	characteristic
154	#19098424	C₂²	1	1	yes	characteristic
155	#19098424	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	#19098423	C₂²	1	1	yes	characteristic, complemented
160	#19098421	C₂²	1	1	yes	characteristic
161	#19098421	C₂²	1	1	yes	characteristic
162	#19098421	C₂²	1	1	yes	characteristic
163	#19098421	C₂²	1	1	yes	characteristic
164	#19098421	C₂²	1	1	yes	characteristic
165	#19098421	C₂²	1	1	yes	characteristic
166	#19098421	C₂²	1	1	yes	characteristic
167	#19098421	C₂²	1	1	yes	characteristic
168	#19098421	C₂²	1	1	yes	characteristic
169	#19098421	C₂²	1	1	yes	characteristic
170	C₂×C₇₉⋊#95	C₂²	1	1	yes	characteristic
171	C₂×C₇₉⋊#95	C₂²	1	1	yes	characteristic
172	C₂×#120×C₇₉	C₂²	1	1	yes	characteristic
173	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
174	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
175	#390×C₇₉	C₂²	1	1	yes	characteristic
176	#390×C₇₉	C₂²	1	1	yes	characteristic
177	#388×C₇₉	C₂²	1	1	yes	characteristic
178	#388×C₇₉	C₂²	1	1	yes	characteristic
179	#388×C₇₉	C₂²	1	1	yes	characteristic
180	#388×C₇₉	C₂²	1	1	yes	characteristic
181	#386×C₇₉	C₂²	1	1	yes	characteristic
182	#386×C₇₉	C₂²	1	1	yes	characteristic
183	#386×C₇₉	C₂²	1	1	yes	characteristic
184	#385×C₇₉	C₂²	1	1	yes	characteristic
185	#379×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	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
189	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
190	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
192	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
193	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
195	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
196	#14579154	—	4	2	no	—
197	#14579151	—	4	2	no	—
198	#14579142	—	4	2	no	—
199	#14579142	—	4	2	no	—
200	#14579138	—	4	2	no	—
201	#14579138	—	4	2	no	—
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×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
209	C₂×Dic₇₉⋊C₄	—	4	2	no	—
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×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₇₉	—	2	4	no	—
237	C₂×C₂²⋊Dic₇₉	—	2	4	no	—
238	C₂×C₂²⋊Dic₇₉	—	4	2	no	—
239	C₂×C₂²⋊Dic₇₉	—	4	2	no	—
240	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₇₉	—	4	2	no	—
265	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₇₉	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	C₇₉⋊#95	C₂³	1	1	yes	characteristic
314	C₇₉⋊#95	C₂³	1	1	yes	characteristic
315	C₇₉⋊#95	C₂³	1	1	yes	characteristic
316	C₇₉⋊#95	C₂³	1	1	yes	characteristic
317	C₇₉⋊#95	C₂³	1	1	yes	characteristic
318	C₇₉⋊#95	C₂³	1	1	yes	characteristic
319	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
322	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
326	#120×C₇₉	—	2	4	no	—
327	C₄×D₄×C₇₉	—	4	2	no	—
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×C₂²⋊C₄×C₇₉	—	4	2	no	—
332	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊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×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
350	C₂×C₄²×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	C₂×Dic₁₅₈	—	4	1	no	—
358	C₂×Dic₁₅₈	—	4	1	no	—
359	C₂×Dic₁₅₈	—	4	1	no	—
360	C₂²×Dic₇₉	—	2	2	no	—
361	C₂²×Dic₇₉	—	2	2	no	—
362	C₂²×Dic₇₉	—	2	2	no	—
363	C₂²×Dic₇₉	—	2	2	no	—
364	C₂²×Dic₇₉	—	2	2	no	—
365	C₂²×Dic₇₉	—	2	2	no	—
366	C₂²×Dic₇₉	—	2	2	no	—
367	C₂²×Dic₇₉	—	2	2	no	—
368	C₂²×Dic₇₉	—	2	2	no	—
369	C₂²×Dic₇₉	—	4	1	no	—
370	C₂²×Dic₇₉	—	4	1	no	—
371	C₂²×Dic₇₉	—	4	1	no	—
372	C₂²×Dic₇₉	—	4	1	no	—
373	C₂²×Dic₇₉	—	4	1	no	—
374	C₂²×Dic₇₉	—	4	1	no	—
375	C₂²×Dic₇₉	—	4	1	no	—
376	C₂²×Dic₇₉	—	4	1	no	—
377	C₂²×Dic₇₉	—	4	1	no	—
378	C₂²×Dic₇₉	—	4	1	no	—
379	C₂²×Dic₇₉	—	4	1	no	—
380	C₂²×Dic₇₉	—	4	1	no	—
381	C₂²×Dic₇₉	—	4	1	no	—
382	C₂²×Dic₇₉	—	4	1	no	—
383	C₂²×Dic₇₉	—	4	1	no	—
384	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
395	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	C₄⋊Dic₇₉	—	4	1	no	—
401	C₄⋊Dic₇₉	—	4	1	no	—
402	C₄⋊Dic₇₉	—	4	1	no	—
403	C₄⋊Dic₇₉	—	4	1	no	—
404	C₄⋊Dic₇₉	—	4	1	no	—
405	C₄⋊Dic₇₉	—	4	1	no	—
406	C₄⋊Dic₇₉	—	4	1	no	—
407	Dic₇₉⋊C₄	—	2	2	no	—
408	Dic₇₉⋊C₄	—	2	2	no	—
409	Dic₇₉⋊C₄	—	2	2	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	Dic₇₉⋊C₄	—	4	1	no	—
416	Dic₇₉⋊C₄	—	4	1	no	—
417	Dic₇₉⋊C₄	—	4	1	no	—
418	Dic₇₉⋊C₄	—	4	1	no	—
419	Dic₇₉⋊C₄	—	4	1	no	—
420	Dic₇₉⋊C₄	—	4	1	no	—
421	Dic₇₉⋊C₄	—	4	1	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	Dic₇₉⋊C₄	—	4	1	no	—
433	C₂²⋊Dic₇₉	—	2	2	no	—
434	C₂²⋊Dic₇₉	—	2	2	no	—
435	C₂²⋊Dic₇₉	—	2	2	no	—
436	C₂²⋊Dic₇₉	—	2	2	no	—
437	C₂²⋊Dic₇₉	—	2	2	no	—
438	C₂²⋊Dic₇₉	—	2	2	no	—
439	C₂²⋊Dic₇₉	—	2	2	no	—
440	C₂²⋊Dic₇₉	—	2	2	no	—
441	C₂²⋊Dic₇₉	—	2	2	no	—
442	C₂²⋊Dic₇₉	—	2	2	no	—
443	C₂²⋊Dic₇₉	—	2	2	no	—
444	C₂²⋊Dic₇₉	—	2	2	no	—
445	C₂²⋊Dic₇₉	—	2	2	no	—
446	C₂²⋊Dic₇₉	—	4	1	no	—
447	C₂²⋊Dic₇₉	—	4	1	no	—
448	C₂²⋊Dic₇₉	—	4	1	no	—
449	C₂²⋊Dic₇₉	—	4	1	no	—
450	C₂²⋊Dic₇₉	—	4	1	no	—
451	C₂²⋊Dic₇₉	—	4	1	no	—
452	C₂²⋊Dic₇₉	—	4	1	no	—
453	C₂²⋊Dic₇₉	—	4	1	no	—
454	C₂²⋊Dic₇₉	—	4	1	no	—
455	C₂²⋊Dic₇₉	—	4	1	no	—
456	C₂²⋊Dic₇₉	—	4	1	no	—
457	C₄×Dic₇₉	—	2	2	no	—
458	C₄×Dic₇₉	—	2	2	no	—
459	C₄×Dic₇₉	—	4	1	no	—
460	C₄×Dic₇₉	—	4	1	no	—
461	C₂⁴×C₇₉	—	2	2	no	—
462	C₂⁴×C₇₉	—	2	2	no	—
463	C₂⁴×C₇₉	—	4	1	no	—
464	C₂⁴×C₇₉	—	4	1	no	—
465	C₂⁴×C₇₉	—	4	1	no	—
466	C₂⁴×C₇₉	—	4	1	no	—
467	C₂⁴×C₇₉	#41	1	4	yes	—
468	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
469	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
470	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
471	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
472	C₂×D₄×C₇₉	—	2	2	no	—
473	C₂×D₄×C₇₉	—	2	2	no	—
474	C₂×D₄×C₇₉	—	2	2	no	—
475	C₂×D₄×C₇₉	—	2	2	no	—
476	C₂×D₄×C₇₉	—	2	2	no	—
477	C₂×D₄×C₇₉	—	4	1	no	—
478	C₂×D₄×C₇₉	—	4	1	no	—
479	C₂×D₄×C₇₉	—	4	1	no	—
480	C₂×D₄×C₇₉	—	4	1	no	—
481	C₂²×C₄×C₇₉	—	2	2	no	—
482	C₂²×C₄×C₇₉	—	2	2	no	—
483	C₂²×C₄×C₇₉	—	4	1	no	—
484	C₂²×C₄×C₇₉	—	4	1	no	—
485	C₂²×C₄×C₇₉	—	4	1	no	—
486	C₂²×C₄×C₇₉	—	4	1	no	—
487	C₂²×C₄×C₇₉	—	4	1	no	—
488	C₂²×C₄×C₇₉	—	4	1	no	—
489	C₂²×C₄×C₇₉	—	4	1	no	—
490	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
501	C₄⋊C₄×C₇₉	—	4	1	no	—
502	C₄⋊C₄×C₇₉	—	4	1	no	—
503	C₄⋊C₄×C₇₉	—	4	1	no	—
504	C₂²⋊C₄×C₇₉	—	2	2	no	—
505	C₂²⋊C₄×C₇₉	—	2	2	no	—
506	C₂²⋊C₄×C₇₉	—	2	2	no	—
507	C₂²⋊C₄×C₇₉	—	2	2	no	—
508	C₂²⋊C₄×C₇₉	—	2	2	no	—
509	C₂²⋊C₄×C₇₉	—	4	1	no	—
510	C₂²⋊C₄×C₇₉	—	4	1	no	—
511	C₂²⋊C₄×C₇₉	—	4	1	no	—
512	C₂²⋊C₄×C₇₉	—	4	1	no	—
513	C₂²⋊C₄×C₇₉	—	4	1	no	—
514	C₂²⋊C₄×C₇₉	—	4	1	no	—
515	C₂²⋊C₄×C₇₉	—	4	1	no	—
516	C₂²⋊C₄×C₇₉	—	4	1	no	—
517	C₂²⋊C₄×C₇₉	—	4	1	no	—
518	C₂²⋊C₄×C₇₉	—	4	1	no	—
519	C₂²⋊C₄×C₇₉	—	4	1	no	—
520	C₄²×C₇₉	—	4	1	no	—
521	C₄²×C₇₉	—	4	1	no	—
522	C₄²×C₇₉	—	4	1	no	—
523	C₂³×C₇₉	—	2	1	no	—
524	C₂³×C₇₉	—	2	1	no	—
525	C₂³×C₇₉	—	2	1	no	—
526	C₂³×C₇₉	—	2	1	no	—
527	C₂³×C₇₉	—	2	1	no	—
528	C₂³×C₇₉	—	2	1	no	—
529	C₂³×C₇₉	—	2	1	no	—
530	C₂³×C₇₉	—	2	1	no	—
531	C₂³×C₇₉	—	2	1	no	—
532	C₂³×C₇₉	—	2	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	8	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	—	2	1	no	—
547	C₂³×C₇₉	—	4	4	no	—
548	C₂³×C₇₉	—	4	4	no	—
549	C₂³×C₇₉	—	8	2	no	—
550	C₂³×C₇₉	—	8	2	no	—
551	C₂³×C₇₉	—	8	2	no	—
552	C₂³×C₇₉	—	8	2	no	—
553	C₂³×C₇₉	C₂×#41	1	2	yes	—
554	C₂³×C₇₉	C₂×#41	1	2	yes	—
555	C₂³×C₇₉	C₂×#41	1	2	yes	—
556	C₂³×C₇₉	H(5,𝔽₂)	1	2	yes	—
557	C₂³×C₇₉	2₋¹⁺⁴	1	2	yes	—
558	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
559	D₄×C₇₉	—	4	4	no	—
560	D₄×C₇₉	—	8	2	no	—
561	D₄×C₇₉	—	8	2	no	—
562	C₂×C₄×C₇₉	—	2	1	no	—
563	C₂×C₄×C₇₉	—	2	1	no	—
564	C₂×C₄×C₇₉	—	2	1	no	—
565	C₂×C₄×C₇₉	—	2	1	no	—
566	C₂×C₄×C₇₉	—	2	1	no	—
567	C₂×C₄×C₇₉	—	2	1	no	—
568	C₂×C₄×C₇₉	—	2	1	no	—
569	C₂×C₄×C₇₉	—	2	1	no	—
570	C₂×C₄×C₇₉	—	2	1	no	—
571	C₂×C₄×C₇₉	—	2	1	no	—
572	C₂×C₄×C₇₉	—	2	1	no	—
573	C₂×C₄×C₇₉	—	2	1	no	—
574	C₂×C₄×C₇₉	—	2	1	no	—
575	C₂×C₄×C₇₉	—	2	1	no	—
576	C₂×C₄×C₇₉	—	2	1	no	—
577	C₂×C₄×C₇₉	—	2	1	no	—
578	C₂×C₄×C₇₉	—	2	1	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	—	4	4	no	—
596	C₂×C₄×C₇₉	—	8	2	no	—
597	C₂×C₄×C₇₉	—	8	2	no	—
598	C₂×Dic₇₉	—	2	1	no	—
599	C₂×Dic₇₉	—	2	1	no	—
600	C₂×Dic₇₉	—	2	1	no	—
601	C₂×Dic₇₉	—	2	1	no	—
602	C₂×Dic₇₉	—	2	1	no	—
603	C₂×Dic₇₉	—	2	1	no	—
604	C₂×Dic₇₉	—	2	1	no	—
605	C₂×Dic₇₉	—	2	1	no	—
606	C₂×Dic₇₉	—	2	1	no	—
607	C₂×Dic₇₉	—	2	1	no	—
608	C₂×Dic₇₉	—	2	1	no	—
609	C₂×Dic₇₉	—	2	1	no	—
610	C₂×Dic₇₉	—	2	1	no	—
611	C₂×Dic₇₉	—	2	1	no	—
612	C₂×Dic₇₉	—	2	1	no	—
613	C₂×Dic₇₉	—	2	1	no	—
614	C₂×Dic₇₉	—	2	1	no	—
615	C₂×Dic₇₉	—	2	1	no	—
616	C₂×Dic₇₉	—	2	1	no	—
617	C₂×Dic₇₉	—	2	1	no	—
618	C₂×Dic₇₉	—	2	1	no	—
619	C₂×Dic₇₉	—	2	1	no	—
620	C₂×Dic₇₉	—	2	1	no	—
621	C₂×Dic₇₉	—	2	1	no	—
622	C₂×Dic₇₉	—	2	1	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	—	4	4	no	—
646	C₂×Dic₇₉	—	4	4	no	—
647	C₂×Dic₇₉	—	4	4	no	—
648	C₂×Dic₇₉	—	8	2	no	—
649	C₂×Dic₇₉	—	8	2	no	—
650	C₂×Dic₇₉	—	8	2	no	—
651	C₂×Dic₇₉	—	8	2	no	—
652	C₂×Dic₇₉	—	8	2	no	—
653	C₂×Dic₇₉	H(5,𝔽₂)	1	2	yes	—
654	Dic₁₅₈	—	8	2	no	—
655	C₂²×C₇₉	—	2	2	no	—
656	C₂²×C₇₉	—	2	2	no	—
657	C₂²×C₇₉	—	2	2	no	—
658	C₂²×C₇₉	—	2	2	no	—
659	C₂²×C₇₉	—	2	2	no	—
660	C₂²×C₇₉	—	2	2	no	—
661	C₂²×C₇₉	—	2	2	no	—
662	C₂²×C₇₉	—	2	2	no	—
663	C₂²×C₇₉	—	2	2	no	—
664	C₂²×C₇₉	—	2	2	no	—
665	C₂²×C₇₉	—	2	2	no	—
666	C₂²×C₇₉	—	2	2	no	—
667	C₂²×C₇₉	—	4	1	no	—
668	C₂²×C₇₉	—	4	1	no	—
669	C₂²×C₇₉	—	4	1	no	—
670	C₂²×C₇₉	—	4	1	no	—
671	C₂²×C₇₉	—	4	1	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	—	8	8	no	—
683	C₂²×C₇₉	#539	1	4	yes	—
684	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
685	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
686	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
687	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
688	C₂²×C₇₉	#585	1	1	yes	characteristic
689	C₂²×C₇₉	#585	1	1	yes	characteristic
690	C₂²×C₇₉	#585	1	1	yes	characteristic
691	C₄×C₇₉	—	4	1	no	—
692	C₄×C₇₉	—	4	1	no	—
693	C₄×C₇₉	—	4	1	no	—
694	C₄×C₇₉	—	4	1	no	—
695	C₄×C₇₉	—	4	1	no	—
696	C₄×C₇₉	—	4	1	no	—
697	C₄×C₇₉	—	4	1	no	—
698	C₄×C₇₉	—	4	1	no	—
699	C₄×C₇₉	—	4	1	no	—
700	C₄×C₇₉	—	4	1	no	—
701	C₄×C₇₉	—	4	1	no	—
702	Dic₇₉	—	2	2	no	—
703	Dic₇₉	—	4	1	no	—
704	Dic₇₉	—	4	1	no	—
705	Dic₇₉	—	4	1	no	—
706	Dic₇₉	—	4	1	no	—
707	Dic₇₉	—	4	1	no	—
708	Dic₇₉	—	4	1	no	—
709	Dic₇₉	—	4	1	no	—
710	Dic₇₉	—	4	1	no	—
711	Dic₇₉	—	4	1	no	—
712	Dic₇₉	—	4	1	no	—
713	Dic₇₉	—	4	1	no	—
714	Dic₇₉	—	4	1	no	—
715	Dic₇₉	—	4	1	no	—
716	Dic₇₉	—	4	1	no	—
717	Dic₇₉	—	4	1	no	—
718	#36780	—	79	1	no	maximal, Sylow
719	C₂×C₇₉	—	2	4	no	—
720	C₂×C₇₉	—	4	2	no	—
721	C₂×C₇₉	—	4	2	no	—
722	C₂×C₇₉	—	8	1	no	—
723	C₂×C₇₉	C₂×#539	1	1	yes	characteristic
724	C₂×C₇₉	#3491	1	1	yes	characteristic
725	C₂×C₇₉	#3505	1	1	yes	characteristic
726	C₂×C₇₉	#3535	1	1	yes	characteristic
727	C₂×C₇₉	#3542	1	1	yes	characteristic
728	C₂×C₇₉	#3545	1	1	yes	characteristic
729	C₂×C₇₉	#3564	1	1	yes	characteristic
730	#2852	—	79	1	no	—
731	#2851	—	79	1	no	—
732	#2786	—	79	1	no	—
733	#2782	—	79	1	no	—
734	#2770	—	79	1	no	—
735	#2770	—	79	1	no	—
736	#2747	—	79	1	no	—
737	#2746	—	79	1	no	—
738	#2745	—	79	1	no	—
739	#2744	—	79	1	no	—
740	#2744	—	79	1	no	—
741	#2743	—	79	1	no	—
742	#2738	—	79	1	no	—
743	#2737	—	79	1	no	—
744	#2723	—	79	1	no	—
745	#2695	—	79	1	no	—
746	#2694	—	79	1	no	—
747	#2690	—	79	1	no	—
748	#2627	—	79	1	no	—
749	#2623	—	79	1	no	—
750	#2505	—	79	1	no	—
751	#2493	—	79	1	no	—
752	#2483	—	79	1	no	—
753	#2450	—	79	1	no	—
754	#2437	—	79	1	no	—
755	#2419	—	79	1	no	—
756	#2412	—	79	1	no	—
757	#2412	—	79	1	no	—
758	#2321	D₇₉	1	1	yes	characteristic
759	#2315	—	79	1	no	—
760	C₂×#388	—	79	1	no	—
761	C₇₉	#36780	1	1	yes	characteristic, complemented, Sylow
762	C₂×#126	—	79	1	no	—
763	C₂×#125	—	79	1	no	—
764	C₂×#123	—	79	1	no	—
765	C₂×#123	—	79	1	no	—
766	C₂×C₂²⋊Q₈	—	79	1	no	—
767	C₂×C₂²⋊Q₈	—	79	1	no	—
768	C₂×#120	C₂×D₇₉	1	1	yes	characteristic
769	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
770	C₂²×C₄⋊C₄	—	79	1	no	—
771	C₂²×C₂²⋊C₄	—	79	1	no	—
772	C₂²×C₂²⋊C₄	—	79	1	no	—
773	C₂²×C₂²⋊C₄	—	79	1	no	—
774	C₂²×C₂²⋊C₄	—	79	1	no	—
775	C₂²×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
776	C₂²×C₄²	—	79	1	no	—
777	#401	—	79	1	no	—
778	#400	—	79	1	no	—
779	#400	—	79	1	no	—
780	#400	—	79	1	no	—
781	#400	—	79	1	no	—
782	#400	—	79	1	no	—
783	#400	—	79	1	no	—
784	#400	—	79	1	no	—
785	#400	—	79	1	no	—
786	#400	—	79	1	no	—
787	#400	—	79	1	no	—
788	#400	—	79	1	no	—
789	#400	—	79	1	no	—
790	#399	—	79	1	no	—
791	#399	—	79	1	no	—
792	#399	—	79	1	no	—
793	#398	—	79	1	no	—
794	#398	—	79	1	no	—
795	#398	—	79	1	no	—
796	#398	—	79	1	no	—
797	#398	—	79	1	no	—
798	#398	—	79	1	no	—
799	#398	—	79	1	no	—
800	#398	—	79	1	no	—
801	#398	—	79	1	no	—
802	#397	—	79	1	no	—
803	#397	—	79	1	no	—
804	#397	—	79	1	no	—
805	#397	—	79	1	no	—
806	#397	—	79	1	no	—
807	#397	—	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	#396	—	79	1	no	—
815	#396	—	79	1	no	—
816	#396	—	79	1	no	—
817	#395	—	79	1	no	—
818	#395	—	79	1	no	—
819	#394	—	79	1	no	—
820	#394	—	79	1	no	—
821	#394	—	79	1	no	—
822	#394	—	79	1	no	—
823	#393	—	79	1	no	—
824	#393	—	79	1	no	—
825	#391	—	79	1	no	—
826	#390	C₂×D₇₉	1	1	yes	characteristic
827	#390	C₂×D₇₉	1	1	yes	characteristic
828	#389	—	79	1	no	—
829	#389	—	79	1	no	—
830	#389	—	79	1	no	—
831	#388	—	79	1	no	—
832	#388	—	79	1	no	—
833	#388	—	79	1	no	—
834	#388	—	79	1	no	—
835	#388	—	79	1	no	—
836	#388	—	79	1	no	—
837	#388	—	79	1	no	—
838	#388	—	79	1	no	—
839	#388	—	79	1	no	—
840	#388	—	79	1	no	—
841	#388	—	79	1	no	—
842	#388	C₂×D₇₉	1	1	yes	characteristic
843	#388	C₂×D₇₉	1	1	yes	characteristic
844	#388	C₂×D₇₉	1	1	yes	characteristic
845	#388	C₂×D₇₉	1	1	yes	characteristic
846	#387	—	79	1	no	—
847	#387	—	79	1	no	—
848	#387	—	79	1	no	—
849	#387	—	79	1	no	—
850	#387	—	79	1	no	—
851	#387	—	79	1	no	—
852	#387	—	79	1	no	—
853	#387	—	79	1	no	—
854	#387	—	79	1	no	—
855	#387	—	79	1	no	—
856	#387	—	79	1	no	—
857	#387	—	79	1	no	—
858	#387	—	79	1	no	—
859	#387	—	79	1	no	—
860	#387	—	79	1	no	—
861	#386	—	79	1	no	—
862	#386	—	79	1	no	—
863	#386	—	79	1	no	—
864	#386	—	79	1	no	—
865	#386	—	79	1	no	—
866	#386	—	79	1	no	—
867	#386	C₂×D₇₉	1	1	yes	characteristic
868	#386	C₂×D₇₉	1	1	yes	characteristic
869	#386	C₂×D₇₉	1	1	yes	characteristic
870	#385	—	79	1	no	—
871	#385	—	79	1	no	—
872	#385	—	79	1	no	—
873	#385	—	79	1	no	—
874	#385	—	79	1	no	—
875	#385	—	79	1	no	—
876	#385	—	79	1	no	—
877	#385	—	79	1	no	—
878	#385	—	79	1	no	—
879	#385	—	79	1	no	—
880	#385	—	79	1	no	—
881	#385	—	79	1	no	—
882	#385	—	79	1	no	—
883	#385	—	79	1	no	—
884	#385	—	79	1	no	—
885	#385	—	79	1	no	—
886	#385	—	79	1	no	—
887	#385	—	79	1	no	—
888	#385	—	79	1	no	—
889	#385	—	79	1	no	—
890	#385	C₂×D₇₉	1	1	yes	characteristic
891	#383	—	79	1	no	—
892	#383	—	79	1	no	—
893	#382	—	79	1	no	—
894	#382	—	79	1	no	—
895	#381	—	79	1	no	—
896	#381	—	79	1	no	—
897	#381	—	79	1	no	—
898	#381	—	79	1	no	—
899	#381	—	79	1	no	—
900	#381	—	79	1	no	—
901	#381	—	79	1	no	—
902	#380	—	79	1	no	—
903	#380	—	79	1	no	—
904	#380	—	79	1	no	—
905	#380	—	79	1	no	—
906	#380	—	79	1	no	—
907	#380	—	79	1	no	—
908	#380	—	79	1	no	—
909	#380	—	79	1	no	—
910	#380	—	79	1	no	—
911	#380	—	79	1	no	—
912	#380	—	79	1	no	—
913	#379	C₂×D₇₉	1	1	yes	characteristic
914	C₄×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
915	C₂×#95	—	79	1	no	—
916	C₂×#95	—	79	1	no	—
917	C₂⁵	C₂²×D₇₉	1	1	yes	characteristic
918	C₂²×Q₈	—	79	1	no	—
919	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
920	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
921	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
922	C₂³×C₄	—	79	1	no	—
923	C₂³×C₄	—	79	1	no	—
924	C₂³×C₄	—	79	1	no	—
925	C₂³×C₄	—	79	1	no	—
926	C₂³×C₄	—	79	1	no	—
927	C₂³×C₄	—	79	1	no	—
928	C₂³×C₄	—	79	1	no	—
929	C₂³×C₄	—	79	1	no	—
930	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
931	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
932	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
933	#126	—	316	2	no	—
934	#125	—	316	2	no	—
935	#123	—	316	2	no	—
936	#123	—	316	2	no	—
937	C₂²⋊Q₈	—	316	2	no	—
938	C₂²⋊Q₈	—	316	2	no	—
939	#120	—	2	4	no	—
940	C₄×D₄	—	4	2	no	—
941	C₂×C₄⋊C₄	—	316	2	no	—
942	C₂×C₄⋊C₄	—	79	1	no	—
943	C₂×C₄⋊C₄	—	79	1	no	—
944	C₂×C₄⋊C₄	—	79	1	no	—
945	C₂×C₄⋊C₄	—	79	1	no	—
946	C₂×C₄⋊C₄	—	79	1	no	—
947	C₂×C₄⋊C₄	—	79	1	no	—
948	C₂×C₄⋊C₄	—	79	1	no	—
949	C₂×C₄⋊C₄	—	79	1	no	—
950	C₂×C₄⋊C₄	—	79	1	no	—
951	C₂×C₄⋊C₄	—	79	1	no	—
952	C₂×C₄⋊C₄	—	79	1	no	—
953	C₂×C₄⋊C₄	—	79	1	no	—
954	C₂×C₄⋊C₄	—	79	1	no	—
955	C₂×C₄⋊C₄	—	79	1	no	—
956	C₂×C₄⋊C₄	—	79	1	no	—
957	C₂×C₄⋊C₄	—	79	1	no	—
958	C₂×C₄⋊C₄	—	79	1	no	—
959	C₂×C₄⋊C₄	—	79	1	no	—
960	C₂×C₄⋊C₄	—	79	1	no	—
961	C₂×C₄⋊C₄	—	79	1	no	—
962	C₂×C₄⋊C₄	—	79	1	no	—
963	C₂×C₄⋊C₄	—	79	1	no	—
964	C₂×C₄⋊C₄	—	79	1	no	—
965	C₂×C₄⋊C₄	—	79	1	no	—
966	C₂×C₄⋊C₄	—	79	1	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	C₂²×D₇₉	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	—	4	2	no	—
979	C₂×C₂²⋊C₄	—	316	2	no	—
980	C₂×C₂²⋊C₄	—	316	2	no	—
981	C₂×C₂²⋊C₄	—	79	1	no	—
982	C₂×C₂²⋊C₄	—	79	1	no	—
983	C₂×C₂²⋊C₄	—	79	1	no	—
984	C₂×C₂²⋊C₄	—	79	1	no	—
985	C₂×C₂²⋊C₄	—	79	1	no	—
986	C₂×C₂²⋊C₄	—	79	1	no	—
987	C₂×C₂²⋊C₄	—	79	1	no	—
988	C₂×C₂²⋊C₄	—	79	1	no	—
989	C₂×C₂²⋊C₄	—	79	1	no	—
990	C₂×C₂²⋊C₄	—	79	1	no	—
991	C₂×C₂²⋊C₄	—	79	1	no	—
992	C₂×C₂²⋊C₄	—	79	1	no	—
993	C₂×C₂²⋊C₄	—	79	1	no	—
994	C₂×C₂²⋊C₄	—	79	1	no	—
995	C₂×C₂²⋊C₄	—	79	1	no	—
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	—	158	4	no	—
1006	C₂×C₂²⋊C₄	—	158	4	no	—
1007	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1023	C₂×C₄²	—	316	2	no	—
1024	C₂×C₄²	—	79	1	no	—
1025	C₂×C₄²	—	79	1	no	—
1026	C₂×C₄²	—	79	1	no	—
1027	C₂×C₄²	—	79	1	no	—
1028	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1029	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1030	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1031	#95	—	79	1	no	—
1032	#95	—	79	1	no	—
1033	#95	—	79	1	no	—
1034	#95	—	79	1	no	—
1035	#95	—	79	1	no	—
1036	#95	—	79	1	no	—
1037	#95	—	79	1	no	—
1038	#95	—	79	1	no	—
1039	#95	—	79	1	no	—
1040	#95	—	79	1	no	—
1041	#95	—	79	1	no	—
1042	#95	—	79	1	no	—
1043	#95	—	79	1	no	—
1044	#95	—	79	1	no	—
1045	#95	—	79	1	no	—
1046	#95	—	79	1	no	—
1047	#95	—	79	1	no	—
1048	#95	—	79	1	no	—
1049	#95	—	79	1	no	—
1050	#95	—	79	1	no	—
1051	#95	—	79	1	no	—
1052	#95	—	79	1	no	—
1053	#95	—	79	1	no	—
1054	#95	—	79	1	no	—
1055	#95	—	79	1	no	—
1056	#95	—	79	1	no	—
1057	#95	—	79	1	no	—
1058	#95	—	79	1	no	—
1059	#95	—	79	1	no	—
1060	#95	—	79	1	no	—
1061	#95	—	79	1	no	—
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	C₂²×D₇₉	1	1	yes	characteristic
1082	#95	C₂²×D₇₉	1	1	yes	characteristic
1083	#95	C₂²×D₇₉	1	1	yes	characteristic
1084	#95	C₂²×D₇₉	1	1	yes	characteristic
1085	#95	C₂²×D₇₉	1	1	yes	characteristic
1086	#95	C₂²×D₇₉	1	1	yes	characteristic
1087	C₂⁴	—	2	2	no	—
1088	C₂⁴	—	2	2	no	—
1089	C₂⁴	—	4	1	no	—
1090	C₂⁴	—	4	1	no	—
1091	C₂⁴	—	4	1	no	—
1092	C₂⁴	—	4	1	no	—
1093	C₂⁴	#11929624	1	4	yes	—
1094	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1095	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1096	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1097	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1098	C₂×Q₈	—	316	1	no	—
1099	C₂×Q₈	—	316	1	no	—
1100	C₂×Q₈	—	316	1	no	—
1101	C₂×D₄	—	2	2	no	—
1102	C₂×D₄	—	2	2	no	—
1103	C₂×D₄	—	2	2	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	4	1	no	—
1107	C₂×D₄	—	4	1	no	—
1108	C₂×D₄	—	4	1	no	—
1109	C₂×D₄	—	4	1	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	4	1	no	—
1113	C₂²×C₄	—	4	1	no	—
1114	C₂²×C₄	—	4	1	no	—
1115	C₂²×C₄	—	4	1	no	—
1116	C₂²×C₄	—	4	1	no	—
1117	C₂²×C₄	—	4	1	no	—
1118	C₂²×C₄	—	4	1	no	—
1119	C₂²×C₄	—	316	1	no	—
1120	C₂²×C₄	—	316	1	no	—
1121	C₂²×C₄	—	316	1	no	—
1122	C₂²×C₄	—	316	1	no	—
1123	C₂²×C₄	—	316	1	no	—
1124	C₂²×C₄	—	316	1	no	—
1125	C₂²×C₄	—	316	1	no	—
1126	C₂²×C₄	—	316	1	no	—
1127	C₂²×C₄	—	316	1	no	—
1128	C₂²×C₄	—	316	1	no	—
1129	C₂²×C₄	—	316	1	no	—
1130	C₂²×C₄	—	316	1	no	—
1131	C₂²×C₄	—	316	1	no	—
1132	C₂²×C₄	—	316	1	no	—
1133	C₂²×C₄	—	316	1	no	—
1134	C₂²×C₄	—	79	1	no	—
1135	C₂²×C₄	—	79	1	no	—
1136	C₂²×C₄	—	79	1	no	—
1137	C₂²×C₄	—	79	1	no	—
1138	C₂²×C₄	—	79	1	no	—
1139	C₂²×C₄	—	79	1	no	—
1140	C₂²×C₄	—	79	1	no	—
1141	C₂²×C₄	—	79	1	no	—
1142	C₂²×C₄	—	79	1	no	—
1143	C₂²×C₄	—	79	1	no	—
1144	C₂²×C₄	—	79	1	no	—
1145	C₂²×C₄	—	79	1	no	—
1146	C₂²×C₄	—	79	1	no	—
1147	C₂²×C₄	—	79	1	no	—
1148	C₂²×C₄	—	79	1	no	—
1149	C₂²×C₄	—	79	1	no	—
1150	C₂²×C₄	—	158	2	no	—
1151	C₂²×C₄	—	158	2	no	—
1152	C₂²×C₄	—	158	2	no	—
1153	C₂²×C₄	—	158	2	no	—
1154	C₂²×C₄	—	158	2	no	—
1155	C₂²×C₄	—	158	2	no	—
1156	C₂²×C₄	—	158	2	no	—
1157	C₂²×C₄	—	158	2	no	—
1158	C₂²×C₄	—	158	2	no	—
1159	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1161	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1162	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	316	1	no	—
1174	C₄⋊C₄	—	316	1	no	—
1175	C₄⋊C₄	—	316	1	no	—
1176	C₄⋊C₄	—	316	1	no	—
1177	C₄⋊C₄	—	316	1	no	—
1178	C₄⋊C₄	—	316	1	no	—
1179	C₄⋊C₄	—	316	1	no	—
1180	C₄⋊C₄	—	316	1	no	—
1181	C₄⋊C₄	—	316	1	no	—
1182	C₄⋊C₄	—	316	1	no	—
1183	C₄⋊C₄	—	316	1	no	—
1184	C₄⋊C₄	—	316	1	no	—
1185	C₄⋊C₄	—	316	1	no	—
1186	C₄⋊C₄	—	316	1	no	—
1187	C₄⋊C₄	—	316	1	no	—
1188	C₄⋊C₄	—	316	1	no	—
1189	C₄⋊C₄	—	316	1	no	—
1190	C₄⋊C₄	—	316	1	no	—
1191	C₄⋊C₄	—	316	1	no	—
1192	C₄⋊C₄	—	316	1	no	—
1193	C₄⋊C₄	—	316	1	no	—
1194	C₄⋊C₄	—	316	1	no	—
1195	C₄⋊C₄	—	316	1	no	—
1196	C₄⋊C₄	—	316	1	no	—
1197	C₄⋊C₄	—	316	1	no	—
1198	C₄⋊C₄	—	316	1	no	—
1199	C₄⋊C₄	—	316	1	no	—
1200	C₄⋊C₄	—	316	1	no	—
1201	C₄⋊C₄	—	316	1	no	—
1202	C₄⋊C₄	—	316	1	no	—
1203	C₄⋊C₄	—	158	2	no	—
1204	C₄⋊C₄	—	158	2	no	—
1205	C₄⋊C₄	—	158	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	4	1	no	—
1212	C₂²⋊C₄	—	4	1	no	—
1213	C₂²⋊C₄	—	4	1	no	—
1214	C₂²⋊C₄	—	4	1	no	—
1215	C₂²⋊C₄	—	4	1	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	316	1	no	—
1223	C₂²⋊C₄	—	316	1	no	—
1224	C₂²⋊C₄	—	316	1	no	—
1225	C₂²⋊C₄	—	316	1	no	—
1226	C₂²⋊C₄	—	316	1	no	—
1227	C₂²⋊C₄	—	316	1	no	—
1228	C₂²⋊C₄	—	316	1	no	—
1229	C₂²⋊C₄	—	316	1	no	—
1230	C₂²⋊C₄	—	316	1	no	—
1231	C₂²⋊C₄	—	316	1	no	—
1232	C₂²⋊C₄	—	316	1	no	—
1233	C₂²⋊C₄	—	158	2	no	—
1234	C₂²⋊C₄	—	158	2	no	—
1235	C₂²⋊C₄	—	158	2	no	—
1236	C₂²⋊C₄	—	158	2	no	—
1237	C₂²⋊C₄	—	158	2	no	—
1238	C₂²⋊C₄	—	158	2	no	—
1239	C₂²⋊C₄	—	158	2	no	—
1240	C₂²⋊C₄	—	158	2	no	—
1241	C₂²⋊C₄	—	158	2	no	—
1242	C₂²⋊C₄	—	158	2	no	—
1243	C₂²⋊C₄	—	158	2	no	—
1244	C₂²⋊C₄	—	158	2	no	—
1245	C₂²⋊C₄	—	158	2	no	—
1246	C₄²	—	4	1	no	—
1247	C₄²	—	4	1	no	—
1248	C₄²	—	4	1	no	—
1249	C₄²	—	316	1	no	—
1250	C₄²	—	316	1	no	—
1251	C₄²	—	158	2	no	—
1252	C₄²	—	158	2	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	2	8	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	2	1	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	4	4	no	—
1278	C₂³	—	4	4	no	—
1279	C₂³	—	8	2	no	—
1280	C₂³	—	8	2	no	—
1281	C₂³	—	8	2	no	—
1282	C₂³	—	8	2	no	—
1283	C₂³	C₂×#11929624	1	2	yes	—
1284	C₂³	C₂×#11929624	1	2	yes	—
1285	C₂³	C₂×#11929624	1	2	yes	—
1286	C₂³	#14579206	1	2	yes	—
1287	C₂³	#14579208	1	2	yes	—
1288	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1289	Q₈	—	632	2	no	—
1290	D₄	—	4	4	no	—
1291	D₄	—	8	2	no	—
1292	D₄	—	8	2	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	4	4	no	—
1327	C₂×C₄	—	8	2	no	—
1328	C₂×C₄	—	8	2	no	—
1329	C₂×C₄	—	316	4	no	—
1330	C₂×C₄	—	316	4	no	—
1331	C₂×C₄	—	316	4	no	—
1332	C₂×C₄	—	79	2	no	—
1333	C₂×C₄	—	632	2	no	—
1334	C₂×C₄	—	632	2	no	—
1335	C₂×C₄	—	632	2	no	—
1336	C₂×C₄	—	632	2	no	—
1337	C₂×C₄	—	632	2	no	—
1338	C₂×C₄	—	158	1	no	—
1339	C₂×C₄	—	158	1	no	—
1340	C₂×C₄	—	158	1	no	—
1341	C₂×C₄	—	158	1	no	—
1342	C₂×C₄	—	158	1	no	—
1343	C₂×C₄	—	158	1	no	—
1344	C₂×C₄	—	158	1	no	—
1345	C₂×C₄	—	158	1	no	—
1346	C₂×C₄	—	158	1	no	—
1347	C₂×C₄	—	158	1	no	—
1348	C₂×C₄	—	158	1	no	—
1349	C₂×C₄	—	158	1	no	—
1350	C₂×C₄	—	158	1	no	—
1351	C₂×C₄	—	158	1	no	—
1352	C₂×C₄	—	158	1	no	—
1353	C₂×C₄	—	158	1	no	—
1354	C₂×C₄	—	158	1	no	—
1355	C₂×C₄	—	158	1	no	—
1356	C₂×C₄	—	158	1	no	—
1357	C₂×C₄	—	158	1	no	—
1358	C₂×C₄	—	158	1	no	—
1359	C₂×C₄	—	158	1	no	—
1360	C₂×C₄	—	158	1	no	—
1361	C₂×C₄	—	158	1	no	—
1362	C₂×C₄	—	158	1	no	—
1363	C₂×C₄	—	158	1	no	—
1364	C₂×C₄	—	158	1	no	—
1365	C₂×C₄	—	158	1	no	—
1366	C₂×C₄	—	158	1	no	—
1367	C₂×C₄	—	158	1	no	—
1368	C₂×C₄	—	158	1	no	—
1369	C₂×C₄	—	158	1	no	—
1370	C₂×C₄	—	158	1	no	—
1371	C₂×C₄	—	158	1	no	—
1372	C₂×C₄	—	158	1	no	—
1373	C₂×C₄	—	158	1	no	—
1374	C₂×C₄	—	158	1	no	—
1375	C₂×C₄	—	158	1	no	—
1376	C₂×C₄	—	158	1	no	—
1377	C₂×C₄	—	158	1	no	—
1378	C₂×C₄	—	158	1	no	—
1379	C₂×C₄	—	158	1	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	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	2	2	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	4	1	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	1	no	—
1402	C₂²	—	4	1	no	—
1403	C₂²	—	4	1	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	4	1	no	—
1408	C₂²	—	4	1	no	—
1409	C₂²	—	4	1	no	—
1410	C₂²	—	4	1	no	—
1411	C₂²	—	4	1	no	—
1412	C₂²	—	8	8	no	—
1413	C₂²	#19099155	1	4	yes	—
1414	C₂²	C₂²×#11929624	1	1	yes	characteristic
1415	C₂²	H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1416	C₂²	C₂×#14579206	1	1	yes	characteristic
1417	C₂²	C₂×#14579208	1	1	yes	characteristic
1418	C₂²	#19099398	1	1	yes	characteristic
1419	C₂²	#19099398	1	1	yes	characteristic
1420	C₂²	#19099398	1	1	yes	characteristic
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	316	1	no	—
1433	C₄	—	316	1	no	—
1434	C₄	—	316	1	no	—
1435	C₄	—	316	1	no	—
1436	C₄	—	316	1	no	—
1437	C₄	—	316	1	no	—
1438	C₄	—	316	1	no	—
1439	C₄	—	316	1	no	—
1440	C₄	—	316	1	no	—
1441	C₄	—	316	1	no	—
1442	C₄	—	316	1	no	—
1443	C₄	—	316	1	no	—
1444	C₄	—	316	1	no	—
1445	C₄	—	316	1	no	—
1446	C₄	—	316	1	no	—
1447	C₄	—	158	2	no	—
1448	C₂	—	2	4	no	—
1449	C₂	—	4	2	no	—
1450	C₂	—	4	2	no	—
1451	C₂	—	8	1	no	—
1452	C₂	C₂×#19099155	1	1	yes	characteristic
1453	C₂	#23777093	1	1	yes	characteristic
1454	C₂	#23777230	1	1	yes	characteristic
1455	C₂	#23777598	1	1	yes	characteristic
1456	C₂	#23777703	1	1	yes	characteristic
1457	C₂	#23777749	1	1	yes	characteristic
1458	C₂	#23778026	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₉
commutator, socle, cosocle	C₂³×C₇₉	C₂⁵
Fitting	C₇₉×#2321	C₂
prime radical	C₂×#120×C₇₉	C₂²
hypercenter	#2321	D₇₉
hypocenter	C₇₉	#36780
LCS	G ▷ C₂³×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ #2321

Complements

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

N	H ≅ G/N	type
1. #23771713	C₂	semidirect
2. #23771706	C₂	semidirect
3. #23771113	C₂	semidirect
4. #23771073	C₂	semidirect
5. #23770908	C₂	semidirect
6. #23770905	C₂	semidirect
7. #23770596	C₂	semidirect
8. #23770588	C₂	semidirect
9. #23770563	C₂	semidirect
10. #23770552	C₂	semidirect
11. #23770548	C₂	semidirect
12. #23770537	C₂	semidirect
13. #23770468	C₂	semidirect
14. #23770453	C₂	semidirect
15. #23770316	C₂	semidirect
16. #23769930	C₂	semidirect
17. #23769915	C₂	semidirect
18. #23769863	C₂	semidirect
19. #23769219	C₂	semidirect
20. #23769184	C₂	semidirect
21. #23767895	C₂	semidirect
22. #23767779	C₂	semidirect
23. #23767681	C₂	semidirect
24. #23767218	C₂	semidirect
25. #23767066	C₂	semidirect
26. #23766871	C₂	semidirect
29. #23766012	C₂	semidirect
30. C₂×#19098457	C₂	semidirect
32. C₂×#14579154	C₂²	semidirect
33. C₂×#14579151	C₂²	semidirect
44. C₇₉⋊#401	C₂²	semidirect
45. #19098505	C₂²	semidirect
46. #19098505	C₂²	semidirect
47. #19098505	C₂²	semidirect
48. #19098504	C₂²	semidirect
49. #19098504	C₂²	semidirect
50. #19098504	C₂²	semidirect
51. #19098504	C₂²	semidirect
52. #19098504	C₂²	semidirect
53. #19098504	C₂²	semidirect
54. #19098504	C₂²	semidirect
55. #19098502	C₂²	semidirect
56. #19098501	C₂²	semidirect
58. #19098499	C₂²	semidirect
59. #19098499	C₂²	semidirect
60. #19098497	C₂²	semidirect
61. #19098497	C₂²	semidirect
62. #19098497	C₂²	semidirect
63. #19098497	C₂²	semidirect
64. #19098497	C₂²	semidirect
65. #19098496	C₂²	semidirect
66. #19098494	C₂²	semidirect
67. #19098494	C₂²	semidirect
68. #19098494	C₂²	semidirect
73. #19098491	C₂²	semidirect
74. #19098491	C₂²	semidirect
75. #19098491	C₂²	semidirect
76. #19098491	C₂²	semidirect
83. #19098486	C₂²	semidirect
84. #19098483	C₂²	semidirect
85. #19098483	C₂²	semidirect
91. #19098475	C₂²	semidirect
92. #19098469	C₂²	semidirect
93. #19098461	C₂²	semidirect
94. #19098460	C₂²	semidirect
95. #19098458	C₂²	semidirect
104. #19098457	C₂²	semidirect
105. #19098456	C₂²	semidirect
106. #19098451	C₂²	semidirect
107. #19098450	C₂²	semidirect
108. #19098449	C₂²	semidirect
109. #19098448	C₂²	semidirect
110. #19098448	C₂²	semidirect
111. #19098447	C₂²	semidirect
112. #19098447	C₂²	semidirect
113. #19098447	C₂²	semidirect
114. #19098447	C₂²	semidirect
115. #19098447	C₂²	semidirect
116. #19098447	C₂²	semidirect
117. #19098447	C₂²	semidirect
118. #19098447	C₂²	semidirect
119. #19098445	C₂²	semidirect
120. #19098445	C₂²	semidirect
121. #19098444	C₂²	semidirect
138. #19098436	C₂²	semidirect
139. #19098436	C₂²	semidirect
148. #19098431	C₂²	semidirect
149. #19098430	C₂²	semidirect
150. #19098429	C₂²	semidirect
151. #19098427	C₂²	semidirect
152. #19098426	C₂²	semidirect
159. #19098423	C₂²	semidirect
761. C₇₉	#36780	semidirect

Maximal subgroups

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

subgroup	index
#23771713	2
#23771706	2
#23771113	2
#23771073	2
#23770908	2
#23770905	2
#23770596	2
#23770588	2
#23770563	2
#23770552	2
#23770548	2
#23770537	2
#23770468	2
#23770453	2
#23770316	2
#23769930	2
#23769915	2
#23769863	2
#23769219	2
#23769184	2
#23767895	2
#23767779	2
#23767681	2
#23767218	2
#23767066	2
#23766871	2
#23766797	2
#23766012	2
C₂×#19098457	2
C₇₉×#2321	2
#36780	79