Subgroups — #34494770

Order 20224.

1506 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23771654	C₂	1	1	yes	maximal, characteristic, complemented
2	#23771646	C₂	1	1	yes	maximal, characteristic, complemented
3	#23771637	C₂	1	1	yes	maximal, characteristic, complemented
4	#23771635	C₂	1	1	yes	maximal, characteristic, complemented
5	#23771624	C₂	1	1	yes	maximal, characteristic, complemented
6	#23771589	C₂	1	1	yes	maximal, characteristic, complemented
7	#23771582	C₂	1	1	yes	maximal, characteristic, complemented
8	#23771579	C₂	1	1	yes	maximal, characteristic, complemented
9	#23771575	C₂	1	1	yes	maximal, characteristic, complemented
10	#23771563	C₂	1	1	yes	maximal, characteristic, complemented
11	#23771560	C₂	1	1	yes	maximal, characteristic, complemented
12	#23771515	C₂	1	1	yes	maximal, characteristic
13	#23771503	C₂	1	1	yes	maximal, characteristic
14	#23771434	C₂	1	1	yes	maximal, characteristic, complemented
15	#23771420	C₂	1	1	yes	maximal, characteristic
16	#23771412	C₂	1	1	yes	maximal, characteristic
17	#23766707	C₂	1	1	yes	maximal, characteristic, complemented
18	#23766707	C₂	1	1	yes	maximal, characteristic, complemented
19	#23766701	C₂	1	1	yes	maximal, characteristic, complemented
20	#23766701	C₂	1	1	yes	maximal, characteristic, complemented
21	#23766698	C₂	1	1	yes	maximal, characteristic, complemented
22	#23766698	C₂	1	1	yes	maximal, characteristic, complemented
23	#23766691	C₂	1	1	yes	maximal, characteristic, complemented
24	#23766683	C₂	1	1	yes	maximal, characteristic
25	#23766676	C₂	1	1	yes	maximal, characteristic, complemented
26	#23766670	C₂	1	1	yes	maximal, characteristic, complemented
27	#23766663	C₂	1	1	yes	maximal, characteristic
28	C₄×#14579139	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#14579137	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#14579146	C₂	1	1	yes	maximal, characteristic
31	C₇₉×#2399	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14579146	C₂²	1	1	yes	characteristic
33	C₂×#14579139	C₂²	1	1	yes	characteristic
34	C₂×#14579137	C₂²	1	1	yes	characteristic
35	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
37	C₂×#14579118	C₂²	1	1	yes	characteristic
38	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
39	C₇₉⋊#401	C₂²	1	1	yes	characteristic
40	C₇₉⋊#401	C₂²	1	1	yes	characteristic
41	C₇₉⋊#401	C₂²	1	1	yes	characteristic
42	C₇₉⋊#401	C₂²	1	1	yes	characteristic
43	#19098505	C₂²	1	1	yes	characteristic
44	#19098505	C₂²	1	1	yes	characteristic
45	#19098505	C₂²	1	1	yes	characteristic
46	#19098504	C₂²	1	1	yes	characteristic
47	#19098504	C₂²	1	1	yes	characteristic
48	#19098504	C₂²	1	1	yes	characteristic
49	#19098504	C₂²	1	1	yes	characteristic
50	#19098504	C₂²	1	1	yes	characteristic
51	#19098504	C₂²	1	1	yes	characteristic
52	#19098504	C₂²	1	1	yes	characteristic
53	#19098504	C₂²	1	1	yes	characteristic
54	#19098504	C₂²	1	1	yes	characteristic
55	#19098504	C₂²	1	1	yes	characteristic
56	#19098504	C₂²	1	1	yes	characteristic
57	#19098503	C₂²	1	1	yes	characteristic
58	#19098503	C₂²	1	1	yes	characteristic
59	#19098502	C₂²	1	1	yes	characteristic
60	#19098502	C₂²	1	1	yes	characteristic
61	#19098502	C₂²	1	1	yes	characteristic
62	#19098502	C₂²	1	1	yes	characteristic
63	#19098501	C₂²	1	1	yes	characteristic
64	#19098501	C₂²	1	1	yes	characteristic
65	#19098501	C₂²	1	1	yes	characteristic
66	#19098501	C₂²	1	1	yes	characteristic
67	#19098501	C₂²	1	1	yes	characteristic
68	#19098498	C₂²	1	1	yes	characteristic
69	#19098498	C₂²	1	1	yes	characteristic
70	#19098498	C₂²	1	1	yes	characteristic
71	#19098497	C₂²	1	1	yes	characteristic
72	#19098497	C₂²	1	1	yes	characteristic
73	#19098497	C₂²	1	1	yes	characteristic
74	#19098496	C₂²	1	1	yes	characteristic
75	#19098496	C₂²	1	1	yes	characteristic
76	#19098496	C₂²	1	1	yes	characteristic
77	#19098496	C₂²	1	1	yes	characteristic
78	#19098496	C₂²	1	1	yes	characteristic
79	#19098494	C₂²	1	1	yes	characteristic
80	#19098494	C₂²	1	1	yes	characteristic
81	#19098494	C₂²	1	1	yes	characteristic
82	#19098494	C₂²	1	1	yes	characteristic
83	#19098494	C₂²	1	1	yes	characteristic
84	#19098493	C₂²	1	1	yes	characteristic
85	#19098493	C₂²	1	1	yes	characteristic
86	#19098493	C₂²	1	1	yes	characteristic
87	#19098493	C₂²	1	1	yes	characteristic
88	#19098492	C₂²	1	1	yes	characteristic
89	#19098492	C₂²	1	1	yes	characteristic
90	#19098492	C₂²	1	1	yes	characteristic
91	#19098492	C₂²	1	1	yes	characteristic
92	#19098492	C₂²	1	1	yes	characteristic
93	#19098492	C₂²	1	1	yes	characteristic
94	#19098492	C₂²	1	1	yes	characteristic
95	#19098492	C₂²	1	1	yes	characteristic
96	#19098492	C₂²	1	1	yes	characteristic
97	#19098492	C₂²	1	1	yes	characteristic
98	#19098490	C₂²	1	1	yes	characteristic
99	#19098490	C₂²	1	1	yes	characteristic
100	#19098489	C₂²	1	1	yes	characteristic
101	#19098489	C₂²	1	1	yes	characteristic
102	#19098489	C₂²	1	1	yes	characteristic
103	#19098489	C₂²	1	1	yes	characteristic
104	#19098489	C₂²	1	1	yes	characteristic
105	#19098487	C₂²	1	1	yes	characteristic
106	#19098487	C₂²	1	1	yes	characteristic
107	#19098487	C₂²	1	1	yes	characteristic
108	#19098485	C₂²	1	1	yes	characteristic
109	#19098485	C₂²	1	1	yes	characteristic
110	#19098485	C₂²	1	1	yes	characteristic
111	#19098485	C₂²	1	1	yes	characteristic
112	#19098485	C₂²	1	1	yes	characteristic
113	#19098483	C₂²	1	1	yes	characteristic
114	#19098483	C₂²	1	1	yes	characteristic
115	#19098483	C₂²	1	1	yes	characteristic
116	#19098482	C₂²	1	1	yes	characteristic
117	#19098482	C₂²	1	1	yes	characteristic
118	#19098482	C₂²	1	1	yes	characteristic
119	#19098481	C₂²	1	1	yes	characteristic
120	#19098480	C₂²	1	1	yes	characteristic
121	#19098480	C₂²	1	1	yes	characteristic
122	#19098480	C₂²	1	1	yes	characteristic
123	#19098476	C₂²	1	1	yes	characteristic
124	#19098474	C₂²	1	1	yes	characteristic
125	#19098474	C₂²	1	1	yes	characteristic
126	#19098474	C₂²	1	1	yes	characteristic
127	#19098470	C₂²	1	1	yes	characteristic
128	#19098467	C₂²	1	1	yes	characteristic
129	#19098459	C₂²	1	1	yes	characteristic
130	#19098458	C₂²	1	1	yes	characteristic
131	#19098453	C₂²	1	1	yes	characteristic
132	#19098452	C₂²	1	1	yes	characteristic
133	#19098450	C₂²	1	1	yes	characteristic
134	#19098449	C₂²	1	1	yes	characteristic
135	#19098449	C₂²	1	1	yes	characteristic
136	#19098445	C₂²	1	1	yes	characteristic
137	#19098444	C₂²	1	1	yes	characteristic
138	#19098444	C₂²	1	1	yes	characteristic
139	#19098441	C₂²	1	1	yes	characteristic
140	#19098437	C₂²	1	1	yes	characteristic
141	#19098434	C₂²	1	1	yes	characteristic
142	#19098434	C₂²	1	1	yes	characteristic
143	#19098434	C₂²	1	1	yes	characteristic
144	#19098434	C₂²	1	1	yes	characteristic
145	#19098425	C₂²	1	1	yes	characteristic
146	#19098422	C₂²	1	1	yes	characteristic
147	#19098420	C₂²	1	1	yes	characteristic
148	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
149	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
150	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
152	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
153	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
159	C₄×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
160	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
170	#19098409	C₂²	1	1	yes	characteristic
171	#19098409	C₂²	1	1	yes	characteristic
172	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
173	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
174	#398×C₇₉	C₂²	1	1	yes	characteristic
175	#398×C₇₉	C₂²	1	1	yes	characteristic
176	#398×C₇₉	C₂²	1	1	yes	characteristic
177	#398×C₇₉	C₂²	1	1	yes	characteristic
178	#395×C₇₉	C₂²	1	1	yes	characteristic
179	#395×C₇₉	C₂²	1	1	yes	characteristic
180	#395×C₇₉	C₂²	1	1	yes	characteristic
181	#395×C₇₉	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
186	#376×C₇₉	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
188	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
193	#14579146	—	2	4	no	—
194	#14579139	—	2	4	no	—
195	#14579137	—	2	4	no	—
196	C₄×Dic₁₅₈	—	4	2	no	—
197	C₄×D₃₁₆	—	4	2	no	—
198	#14579118	—	4	2	no	—
199	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
205	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×(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×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
254	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
261	C₄²×D₇₉	—	4	2	no	—
262	C₇₉⋊#95	C₂³	1	1	yes	characteristic
263	C₇₉⋊#95	C₂³	1	1	yes	characteristic
264	C₇₉⋊#95	C₂³	1	1	yes	characteristic
265	C₇₉⋊#95	C₂³	1	1	yes	characteristic
266	C₇₉⋊#95	C₂³	1	1	yes	characteristic
267	C₇₉⋊#95	C₂³	1	1	yes	characteristic
268	C₇₉⋊#95	C₂³	1	1	yes	characteristic
269	C₇₉⋊#95	C₂³	1	1	yes	characteristic
270	C₇₉⋊#95	C₂³	1	1	yes	characteristic
271	C₇₉⋊#95	C₂³	1	1	yes	characteristic
272	C₇₉⋊#95	C₂³	1	1	yes	characteristic
273	C₇₉⋊#95	C₂³	1	1	yes	characteristic
274	C₇₉⋊#95	C₂³	1	1	yes	characteristic
275	C₇₉⋊#95	C₂³	1	1	yes	characteristic
276	C₇₉⋊#95	C₂³	1	1	yes	characteristic
277	C₇₉⋊#95	C₂³	1	1	yes	characteristic
278	C₇₉⋊#95	C₂³	1	1	yes	characteristic
279	C₇₉⋊#95	C₂³	1	1	yes	characteristic
280	C₇₉⋊#95	C₂³	1	1	yes	characteristic
281	C₇₉⋊#95	C₂³	1	1	yes	characteristic
282	C₇₉⋊#95	C₂³	1	1	yes	characteristic
283	C₇₉⋊#95	C₂³	1	1	yes	characteristic
284	C₇₉⋊#95	C₂³	1	1	yes	characteristic
285	C₇₉⋊#95	C₂³	1	1	yes	characteristic
286	C₇₉⋊#95	C₂³	1	1	yes	characteristic
287	C₇₉⋊#95	C₂³	1	1	yes	characteristic
288	C₇₉⋊#95	C₂³	1	1	yes	characteristic
289	C₇₉⋊#95	C₂³	1	1	yes	characteristic
290	C₇₉⋊#95	C₂³	1	1	yes	characteristic
291	C₇₉⋊#95	C₂³	1	1	yes	characteristic
292	C₇₉⋊#95	C₂³	1	1	yes	characteristic
293	C₇₉⋊#95	C₂³	1	1	yes	characteristic
294	C₇₉⋊#95	C₂³	1	1	yes	characteristic
295	C₇₉⋊#95	C₂³	1	1	yes	characteristic
296	C₇₉⋊#95	C₂³	1	1	yes	characteristic
297	C₇₉⋊#95	C₂³	1	1	yes	characteristic
298	C₇₉⋊#95	C₂³	1	1	yes	characteristic
299	C₇₉⋊#95	C₂³	1	1	yes	characteristic
300	C₇₉⋊#95	C₂³	1	1	yes	characteristic
301	C₇₉⋊#95	C₂³	1	1	yes	characteristic
302	C₇₉⋊#95	C₂³	1	1	yes	characteristic
303	C₇₉⋊#95	C₂³	1	1	yes	characteristic
304	C₇₉⋊#95	C₂³	1	1	yes	characteristic
305	C₇₉⋊#95	C₂³	1	1	yes	characteristic
306	C₇₉⋊#95	C₂³	1	1	yes	characteristic
307	C₇₉⋊#95	C₂³	1	1	yes	characteristic
308	C₇₉⋊#95	C₂³	1	1	yes	characteristic
309	C₇₉⋊#95	C₂³	1	1	yes	characteristic
310	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	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
315	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
316	C₄×Q₈×C₇₉	—	4	2	no	—
317	C₄×Q₈×C₇₉	—	4	2	no	—
318	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
339	#95×C₇₉	C₂³	1	1	yes	characteristic
340	#95×C₇₉	C₂³	1	1	yes	characteristic
341	#95×C₇₉	C₂³	1	1	yes	characteristic
342	#95×C₇₉	C₂³	1	1	yes	characteristic
343	#95×C₇₉	C₂³	1	1	yes	characteristic
344	#95×C₇₉	C₂³	1	1	yes	characteristic
345	#95×C₇₉	C₂³	1	1	yes	characteristic
346	#95×C₇₉	C₂³	1	1	yes	characteristic
347	#95×C₇₉	C₂³	1	1	yes	characteristic
348	#95×C₇₉	C₂³	1	1	yes	characteristic
349	#95×C₇₉	C₂³	1	1	yes	characteristic
350	#95×C₇₉	C₂³	1	1	yes	characteristic
351	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
352	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
353	C₂×Dic₁₅₈	—	2	2	no	—
354	C₂×Dic₁₅₈	—	4	1	no	—
355	C₂×Dic₁₅₈	—	4	1	no	—
356	C₂×D₃₁₆	—	2	2	no	—
357	C₂×D₃₁₆	—	4	1	no	—
358	C₂×D₃₁₆	—	4	1	no	—
359	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
360	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
361	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
362	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
363	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
364	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
365	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
373	C₂×C₄×D₇₉	—	2	2	no	—
374	C₂×C₄×D₇₉	—	2	2	no	—
375	C₂×C₄×D₇₉	—	2	2	no	—
376	C₂×C₄×D₇₉	—	2	2	no	—
377	C₂×C₄×D₇₉	—	2	2	no	—
378	C₂×C₄×D₇₉	—	2	2	no	—
379	C₂×C₄×D₇₉	—	4	1	no	—
380	C₂×C₄×D₇₉	—	4	1	no	—
381	C₂×C₄×D₇₉	—	4	1	no	—
382	C₂×C₄×D₇₉	—	4	1	no	—
383	C₂×C₄×D₇₉	—	4	1	no	—
384	C₂×C₄×D₇₉	#41	1	4	yes	—
385	C₄⋊Dic₇₉	—	2	2	no	—
386	C₄⋊Dic₇₉	—	4	1	no	—
387	C₄⋊Dic₇₉	—	4	1	no	—
388	C₄⋊Dic₇₉	—	4	1	no	—
389	C₄⋊Dic₇₉	—	4	1	no	—
390	C₄⋊Dic₇₉	—	4	1	no	—
391	Dic₇₉⋊C₄	—	2	2	no	—
392	Dic₇₉⋊C₄	—	2	2	no	—
393	Dic₇₉⋊C₄	—	2	2	no	—
394	Dic₇₉⋊C₄	—	2	2	no	—
395	Dic₇₉⋊C₄	—	2	2	no	—
396	Dic₇₉⋊C₄	—	4	1	no	—
397	Dic₇₉⋊C₄	—	4	1	no	—
398	Dic₇₉⋊C₄	—	4	1	no	—
399	Dic₇₉⋊C₄	—	4	1	no	—
400	Dic₇₉⋊C₄	—	4	1	no	—
401	Dic₇₉⋊C₄	—	4	1	no	—
402	Dic₇₉⋊C₄	—	4	1	no	—
403	Dic₇₉⋊C₄	—	4	1	no	—
404	Dic₇₉⋊C₄	—	4	1	no	—
405	Dic₇₉⋊C₄	—	4	1	no	—
406	Dic₇₉⋊C₄	—	4	1	no	—
407	Dic₇₉⋊C₄	—	4	1	no	—
408	Dic₇₉⋊C₄	—	4	1	no	—
409	Dic₇₉⋊C₄	—	4	1	no	—
410	Dic₇₉⋊C₄	—	4	1	no	—
411	Dic₇₉⋊C₄	—	4	1	no	—
412	Dic₇₉⋊C₄	—	4	1	no	—
413	Dic₇₉⋊C₄	—	4	1	no	—
414	Dic₇₉⋊C₄	—	4	1	no	—
415	(C₂×D₇₉)⋊C₄	—	2	2	no	—
416	(C₂×D₇₉)⋊C₄	—	2	2	no	—
417	(C₂×D₇₉)⋊C₄	—	2	2	no	—
418	(C₂×D₇₉)⋊C₄	—	2	2	no	—
419	(C₂×D₇₉)⋊C₄	—	2	2	no	—
420	(C₂×D₇₉)⋊C₄	—	2	2	no	—
421	(C₂×D₇₉)⋊C₄	—	2	2	no	—
422	(C₂×D₇₉)⋊C₄	—	4	1	no	—
423	(C₂×D₇₉)⋊C₄	—	4	1	no	—
424	(C₂×D₇₉)⋊C₄	—	4	1	no	—
425	(C₂×D₇₉)⋊C₄	—	4	1	no	—
426	(C₂×D₇₉)⋊C₄	—	4	1	no	—
427	(C₂×D₇₉)⋊C₄	—	4	1	no	—
428	(C₂×D₇₉)⋊C₄	—	4	1	no	—
429	(C₂×D₇₉)⋊C₄	—	4	1	no	—
430	(C₂×D₇₉)⋊C₄	—	4	1	no	—
431	(C₂×D₇₉)⋊C₄	—	4	1	no	—
432	(C₂×D₇₉)⋊C₄	—	4	1	no	—
433	(C₂×D₇₉)⋊C₄	—	4	1	no	—
434	(C₂×D₇₉)⋊C₄	—	4	1	no	—
435	(C₂×D₇₉)⋊C₄	—	4	1	no	—
436	(C₂×D₇₉)⋊C₄	—	4	1	no	—
437	(C₂×D₇₉)⋊C₄	—	4	1	no	—
438	(C₂×D₇₉)⋊C₄	—	4	1	no	—
439	C₄×Dic₇₉	—	2	2	no	—
440	C₄×Dic₇₉	—	2	2	no	—
441	C₄×Dic₇₉	—	2	2	no	—
442	C₄×Dic₇₉	—	2	2	no	—
443	C₄×Dic₇₉	—	2	2	no	—
444	C₄×Dic₇₉	—	2	2	no	—
445	C₄×Dic₇₉	—	4	1	no	—
446	C₄×Dic₇₉	—	4	1	no	—
447	C₂×Q₈×C₇₉	—	2	2	no	—
448	C₂×Q₈×C₇₉	—	4	1	no	—
449	C₂×Q₈×C₇₉	—	4	1	no	—
450	C₂×Q₈×C₇₉	—	4	1	no	—
451	C₂×Q₈×C₇₉	—	4	1	no	—
452	C₂×Q₈×C₇₉	—	4	1	no	—
453	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
468	C₄⋊C₄×C₇₉	—	2	2	no	—
469	C₄⋊C₄×C₇₉	—	2	2	no	—
470	C₄⋊C₄×C₇₉	—	4	1	no	—
471	C₄⋊C₄×C₇₉	—	4	1	no	—
472	C₄⋊C₄×C₇₉	—	4	1	no	—
473	C₄⋊C₄×C₇₉	—	4	1	no	—
474	C₄⋊C₄×C₇₉	—	4	1	no	—
475	C₄⋊C₄×C₇₉	—	4	1	no	—
476	C₄⋊C₄×C₇₉	—	4	1	no	—
477	C₄⋊C₄×C₇₉	—	4	1	no	—
478	C₄⋊C₄×C₇₉	—	4	1	no	—
479	C₄⋊C₄×C₇₉	—	4	1	no	—
480	C₄⋊C₄×C₇₉	—	4	1	no	—
481	C₄⋊C₄×C₇₉	—	4	1	no	—
482	C₄²×C₇₉	—	2	2	no	—
483	C₄²×C₇₉	—	2	2	no	—
484	C₄²×C₇₉	—	2	2	no	—
485	C₄²×C₇₉	—	2	2	no	—
486	C₄²×C₇₉	—	2	2	no	—
487	C₄²×C₇₉	—	2	2	no	—
488	C₄²×C₇₉	—	2	2	no	—
489	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
490	C₂²×D₇₉	—	2	1	no	—
491	C₂²×D₇₉	—	2	1	no	—
492	C₂²×D₇₉	—	2	1	no	—
493	C₂²×D₇₉	—	2	1	no	—
494	C₂²×D₇₉	—	2	1	no	—
495	C₂²×D₇₉	—	2	1	no	—
496	C₂²×D₇₉	—	2	1	no	—
497	C₂²×D₇₉	—	2	1	no	—
498	C₂²×D₇₉	—	2	1	no	—
499	C₂²×D₇₉	—	2	1	no	—
500	C₂²×D₇₉	—	2	1	no	—
501	C₂²×D₇₉	—	2	1	no	—
502	C₂²×D₇₉	—	2	1	no	—
503	C₂²×D₇₉	C₂×#41	1	2	yes	—
504	Q₈×C₇₉	—	4	4	no	—
505	Q₈×C₇₉	—	4	4	no	—
506	C₂×C₄×C₇₉	—	2	1	no	—
507	C₂×C₄×C₇₉	—	2	1	no	—
508	C₂×C₄×C₇₉	—	2	1	no	—
509	C₂×C₄×C₇₉	—	2	1	no	—
510	C₂×C₄×C₇₉	—	2	1	no	—
511	C₂×C₄×C₇₉	—	2	1	no	—
512	C₂×C₄×C₇₉	—	2	1	no	—
513	C₂×C₄×C₇₉	—	2	1	no	—
514	C₂×C₄×C₇₉	—	2	1	no	—
515	C₂×C₄×C₇₉	—	2	1	no	—
516	C₂×C₄×C₇₉	—	2	1	no	—
517	C₂×C₄×C₇₉	—	2	1	no	—
518	C₂×C₄×C₇₉	—	2	1	no	—
519	C₂×C₄×C₇₉	—	2	1	no	—
520	C₂×C₄×C₇₉	—	2	1	no	—
521	C₂×C₄×C₇₉	—	2	1	no	—
522	C₂×C₄×C₇₉	—	2	1	no	—
523	C₂×C₄×C₇₉	—	2	1	no	—
524	C₂×C₄×C₇₉	—	2	1	no	—
525	C₂×C₄×C₇₉	—	2	1	no	—
526	C₂×C₄×C₇₉	—	2	1	no	—
527	C₂×C₄×C₇₉	—	2	1	no	—
528	C₂×C₄×C₇₉	—	2	1	no	—
529	C₂×C₄×C₇₉	—	2	1	no	—
530	C₂×C₄×C₇₉	—	2	1	no	—
531	C₂×C₄×C₇₉	—	2	1	no	—
532	C₂×C₄×C₇₉	—	2	1	no	—
533	C₂×C₄×C₇₉	—	2	1	no	—
534	C₂×C₄×C₇₉	—	2	1	no	—
535	C₂×C₄×C₇₉	—	2	1	no	—
536	C₂×C₄×C₇₉	—	2	1	no	—
537	C₂×C₄×C₇₉	—	2	1	no	—
538	C₂×C₄×C₇₉	—	2	1	no	—
539	C₂×C₄×C₇₉	—	2	1	no	—
540	C₂×C₄×C₇₉	—	2	1	no	—
541	C₂×C₄×C₇₉	—	2	1	no	—
542	C₂×C₄×C₇₉	—	2	1	no	—
543	C₂×C₄×C₇₉	—	2	1	no	—
544	C₂×C₄×C₇₉	—	2	1	no	—
545	C₂×C₄×C₇₉	—	2	1	no	—
546	C₂×C₄×C₇₉	—	2	1	no	—
547	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
548	C₂×C₄×C₇₉	H(5,𝔽₂)	1	2	yes	—
549	C₂×C₄×C₇₉	2₋¹⁺⁴	1	2	yes	—
550	C₂×C₄×C₇₉	2₋¹⁺⁴	1	2	yes	—
551	C₂×Dic₇₉	—	2	1	no	—
552	C₂×Dic₇₉	—	2	1	no	—
553	C₂×Dic₇₉	—	2	1	no	—
554	C₂×Dic₇₉	—	2	1	no	—
555	C₂×Dic₇₉	—	2	1	no	—
556	C₂×Dic₇₉	—	2	1	no	—
557	C₂×Dic₇₉	—	2	1	no	—
558	C₂×Dic₇₉	—	2	1	no	—
559	C₂×Dic₇₉	—	2	1	no	—
560	C₂×Dic₇₉	—	2	1	no	—
561	C₂×Dic₇₉	—	2	1	no	—
562	C₂×Dic₇₉	—	2	1	no	—
563	C₂×Dic₇₉	—	2	1	no	—
564	C₂×Dic₇₉	—	2	1	no	—
565	C₂×Dic₇₉	—	2	1	no	—
566	C₂×Dic₇₉	—	2	1	no	—
567	C₂×Dic₇₉	—	2	1	no	—
568	C₂×Dic₇₉	—	2	1	no	—
569	C₂×Dic₇₉	—	2	1	no	—
570	C₂×Dic₇₉	—	2	1	no	—
571	C₂×Dic₇₉	—	2	1	no	—
572	C₂×Dic₇₉	—	2	1	no	—
573	C₂×Dic₇₉	—	2	1	no	—
574	C₂×Dic₇₉	—	2	1	no	—
575	C₂×Dic₇₉	—	2	1	no	—
576	C₂×Dic₇₉	—	2	1	no	—
577	C₂×Dic₇₉	—	2	1	no	—
578	C₂×Dic₇₉	—	2	1	no	—
579	C₂×Dic₇₉	—	2	1	no	—
580	C₂×Dic₇₉	—	2	1	no	—
581	C₂×Dic₇₉	—	2	1	no	—
582	C₂×Dic₇₉	—	2	1	no	—
583	C₂×Dic₇₉	—	2	1	no	—
584	C₂×Dic₇₉	—	2	1	no	—
585	C₂×Dic₇₉	—	2	1	no	—
586	C₂×Dic₇₉	—	2	1	no	—
587	C₂×Dic₇₉	—	2	1	no	—
588	C₂×Dic₇₉	—	2	1	no	—
589	C₂×Dic₇₉	—	2	1	no	—
590	C₂×Dic₇₉	—	2	1	no	—
591	C₂×Dic₇₉	—	2	1	no	—
592	C₂×Dic₇₉	C₂×#41	1	2	yes	—
593	D₃₁₆	—	4	4	no	—
594	C₄×D₇₉	—	4	4	no	—
595	C₄×D₇₉	—	4	4	no	—
596	C₄×D₇₉	—	4	4	no	—
597	C₄×D₇₉	—	4	4	no	—
598	Dic₁₅₈	—	4	4	no	—
599	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
600	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
601	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
602	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
603	C₂²×C₇₉	#585	1	1	yes	characteristic
604	C₂²×C₇₉	#585	1	1	yes	characteristic
605	C₂²×C₇₉	#585	1	1	yes	characteristic
606	C₂×D₇₉	—	2	2	no	—
607	C₂×D₇₉	—	2	2	no	—
608	C₂×D₇₉	—	2	2	no	—
609	C₂×D₇₉	—	4	1	no	—
610	C₂×D₇₉	—	4	1	no	—
611	C₂×D₇₉	—	4	1	no	—
612	C₂×D₇₉	—	4	1	no	—
613	C₂×D₇₉	—	4	1	no	—
614	C₂×D₇₉	—	4	1	no	—
615	C₂×D₇₉	—	4	1	no	—
616	C₂×D₇₉	—	4	1	no	—
617	C₂×D₇₉	—	4	1	no	—
618	C₂×D₇₉	—	4	1	no	—
619	C₂×D₇₉	—	4	1	no	—
620	C₄×C₇₉	—	2	2	no	—
621	C₄×C₇₉	—	4	1	no	—
622	C₄×C₇₉	—	4	1	no	—
623	C₄×C₇₉	—	4	1	no	—
624	C₄×C₇₉	—	4	1	no	—
625	C₄×C₇₉	—	4	1	no	—
626	C₄×C₇₉	—	4	1	no	—
627	C₄×C₇₉	—	4	1	no	—
628	C₄×C₇₉	—	4	1	no	—
629	C₄×C₇₉	—	4	1	no	—
630	C₄×C₇₉	—	4	1	no	—
631	C₄×C₇₉	—	4	1	no	—
632	C₄×C₇₉	—	4	1	no	—
633	C₄×C₇₉	—	4	1	no	—
634	C₄×C₇₉	#563	1	4	yes	—
635	Dic₇₉	—	2	2	no	—
636	Dic₇₉	—	4	1	no	—
637	Dic₇₉	—	4	1	no	—
638	Dic₇₉	—	4	1	no	—
639	Dic₇₉	—	4	1	no	—
640	Dic₇₉	—	4	1	no	—
641	Dic₇₉	—	4	1	no	—
642	Dic₇₉	—	4	1	no	—
643	Dic₇₉	—	4	1	no	—
644	Dic₇₉	—	4	1	no	—
645	Dic₇₉	—	4	1	no	—
646	Dic₇₉	—	4	1	no	—
647	Dic₇₉	—	4	1	no	—
648	Dic₇₉	—	4	1	no	—
649	#36679	—	79	1	no	maximal, Sylow
650	C₂×C₇₉	#3459	1	1	yes	characteristic
651	C₂×C₇₉	#3461	1	1	yes	characteristic
652	C₂×C₇₉	#3461	1	1	yes	characteristic
653	C₂×C₇₉	C₂×#563	1	1	yes	characteristic
654	C₂×C₇₉	#3529	1	1	yes	characteristic
655	C₂×C₇₉	#3531	1	1	yes	characteristic
656	C₂×C₇₉	#3531	1	1	yes	characteristic
657	D₇₉	—	4	2	no	—
658	D₇₉	—	8	1	no	—
659	#2841	—	79	1	no	—
660	#2839	—	79	1	no	—
661	#2839	—	79	1	no	—
662	#2838	—	79	1	no	—
663	#2838	—	79	1	no	—
664	#2835	—	79	1	no	—
665	#2834	—	79	1	no	—
666	#2833	—	79	1	no	—
667	#2833	—	79	1	no	—
668	#2831	—	79	1	no	—
669	#2831	—	79	1	no	—
670	#2827	—	79	1	no	—
671	#2827	—	79	1	no	—
672	#2817	—	79	1	no	—
673	#2814	—	79	1	no	—
674	#2814	—	79	1	no	—
675	#2402	—	79	1	no	—
676	#2402	—	79	1	no	—
677	#2401	—	79	1	no	—
678	#2401	—	79	1	no	—
679	#2401	—	79	1	no	—
680	#2401	—	79	1	no	—
681	#2399	—	79	1	no	—
682	#2399	D₇₉	1	1	yes	characteristic, complemented
683	#2398	—	79	1	no	—
684	#2396	—	79	1	no	—
685	#2396	—	79	1	no	—
686	#2395	—	79	1	no	—
687	C₄×C₂²⋊Q₈	—	79	1	no	—
688	C₄×C₂²⋊Q₈	—	79	1	no	—
689	C₄×#123	—	79	1	no	—
690	C₇₉	#36679	1	1	yes	characteristic, complemented, Sylow
691	C₂×#123	—	79	1	no	—
692	C₂×C₂²⋊Q₈	—	79	1	no	—
693	C₂×C₂²⋊Q₈	—	79	1	no	—
694	C₂×C₄×Q₈	—	79	1	no	—
695	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic
696	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic
697	C₂×C₄×D₄	—	79	1	no	—
698	C₂×#117	—	79	1	no	—
699	C₂²×C₄²	—	79	1	no	—
700	#401	—	79	1	no	—
701	#401	—	79	1	no	—
702	#401	—	79	1	no	—
703	#401	—	79	1	no	—
704	#400	—	79	1	no	—
705	#400	—	79	1	no	—
706	#400	—	79	1	no	—
707	#400	—	79	1	no	—
708	#400	—	79	1	no	—
709	#400	—	79	1	no	—
710	#400	—	79	1	no	—
711	#400	—	79	1	no	—
712	#400	—	79	1	no	—
713	#400	—	79	1	no	—
714	#400	—	79	1	no	—
715	#400	—	79	1	no	—
716	#400	—	79	1	no	—
717	#400	—	79	1	no	—
718	#400	—	79	1	no	—
719	#400	—	79	1	no	—
720	#400	—	79	1	no	—
721	#400	—	79	1	no	—
722	#400	—	79	1	no	—
723	#400	—	79	1	no	—
724	#400	—	79	1	no	—
725	#400	—	79	1	no	—
726	#400	—	79	1	no	—
727	#400	—	79	1	no	—
728	#400	—	79	1	no	—
729	#399	—	79	1	no	—
730	#399	—	79	1	no	—
731	#399	—	79	1	no	—
732	#398	—	79	1	no	—
733	#398	—	79	1	no	—
734	#398	—	79	1	no	—
735	#398	—	79	1	no	—
736	#398	—	79	1	no	—
737	#398	—	79	1	no	—
738	#398	—	79	1	no	—
739	#398	—	79	1	no	—
740	#398	—	79	1	no	—
741	#398	—	79	1	no	—
742	#398	—	79	1	no	—
743	#398	—	79	1	no	—
744	#398	—	79	1	no	—
745	#398	—	79	1	no	—
746	#398	—	79	1	no	—
747	#398	—	79	1	no	—
748	#398	—	79	1	no	—
749	#398	C₂×D₇₉	1	1	yes	characteristic
750	#398	C₂×D₇₉	1	1	yes	characteristic
751	#398	C₂×D₇₉	1	1	yes	characteristic
752	#398	C₂×D₇₉	1	1	yes	characteristic
753	#397	—	79	1	no	—
754	#397	—	79	1	no	—
755	#397	—	79	1	no	—
756	#397	—	79	1	no	—
757	#397	—	79	1	no	—
758	#397	—	79	1	no	—
759	#397	—	79	1	no	—
760	#397	—	79	1	no	—
761	#397	—	79	1	no	—
762	#397	—	79	1	no	—
763	#397	—	79	1	no	—
764	#397	—	79	1	no	—
765	#397	—	79	1	no	—
766	#397	—	79	1	no	—
767	#397	—	79	1	no	—
768	#397	—	79	1	no	—
769	#397	—	79	1	no	—
770	#396	—	79	1	no	—
771	#396	—	79	1	no	—
772	#396	—	79	1	no	—
773	#396	—	79	1	no	—
774	#396	—	79	1	no	—
775	#396	—	79	1	no	—
776	#396	—	79	1	no	—
777	#396	—	79	1	no	—
778	#395	—	79	1	no	—
779	#395	—	79	1	no	—
780	#395	—	79	1	no	—
781	#395	—	79	1	no	—
782	#395	—	79	1	no	—
783	#395	—	79	1	no	—
784	#395	C₂×D₇₉	1	1	yes	characteristic
785	#395	C₂×D₇₉	1	1	yes	characteristic
786	#395	C₂×D₇₉	1	1	yes	characteristic
787	#395	C₂×D₇₉	1	1	yes	characteristic
788	#394	—	79	1	no	—
789	#394	—	79	1	no	—
790	#394	—	79	1	no	—
791	#394	—	79	1	no	—
792	#393	—	79	1	no	—
793	#393	—	79	1	no	—
794	#393	—	79	1	no	—
795	#393	—	79	1	no	—
796	#391	—	79	1	no	—
797	#391	—	79	1	no	—
798	#389	—	79	1	no	—
799	#389	—	79	1	no	—
800	#388	—	79	1	no	—
801	#388	—	79	1	no	—
802	#387	—	79	1	no	—
803	#387	—	79	1	no	—
804	#387	—	79	1	no	—
805	#387	—	79	1	no	—
806	#387	—	79	1	no	—
807	#387	—	79	1	no	—
808	#386	—	79	1	no	—
809	#385	—	79	1	no	—
810	#385	—	79	1	no	—
811	#385	—	79	1	no	—
812	#385	—	79	1	no	—
813	#385	—	79	1	no	—
814	#381	—	79	1	no	—
815	#380	—	79	1	no	—
816	#380	—	79	1	no	—
817	C₄×C₄⋊C₄	—	79	1	no	—
818	C₄×C₄⋊C₄	—	79	1	no	—
819	C₄×C₄⋊C₄	—	79	1	no	—
820	C₄×C₄⋊C₄	—	79	1	no	—
821	C₄×C₄⋊C₄	—	79	1	no	—
822	C₄×C₄⋊C₄	—	79	1	no	—
823	C₄×C₄⋊C₄	—	79	1	no	—
824	C₄×C₄⋊C₄	—	79	1	no	—
825	C₄×C₄⋊C₄	—	79	1	no	—
826	C₄×C₄⋊C₄	—	79	1	no	—
827	C₄×C₄⋊C₄	—	79	1	no	—
828	C₄×C₄⋊C₄	—	79	1	no	—
829	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
830	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
831	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
832	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
833	C₄×C₂²⋊C₄	—	79	1	no	—
834	C₄×C₂²⋊C₄	—	79	1	no	—
835	C₄×C₂²⋊C₄	—	79	1	no	—
836	C₄×C₂²⋊C₄	—	79	1	no	—
837	C₄×C₂²⋊C₄	—	79	1	no	—
838	C₄×C₂²⋊C₄	—	79	1	no	—
839	C₄×C₂²⋊C₄	—	79	1	no	—
840	C₄×C₂²⋊C₄	—	79	1	no	—
841	C₄×C₂²⋊C₄	—	79	1	no	—
842	C₄×C₂²⋊C₄	—	79	1	no	—
843	#376	—	79	1	no	—
844	#376	—	79	1	no	—
845	#376	C₂×D₇₉	1	1	yes	characteristic
846	C₂²×Q₈	—	79	1	no	—
847	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
848	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
849	C₂²×D₄	—	79	1	no	—
850	C₂³×C₄	—	79	1	no	—
851	C₂³×C₄	—	79	1	no	—
852	C₂³×C₄	—	79	1	no	—
853	C₂³×C₄	—	79	1	no	—
854	#123	—	158	4	no	—
855	C₂²⋊Q₈	—	158	4	no	—
856	C₂²⋊Q₈	—	158	4	no	—
857	C₄×Q₈	—	4	2	no	—
858	C₄×Q₈	—	4	2	no	—
859	C₄×Q₈	—	316	2	no	—
860	C₄×D₄	—	316	2	no	—
861	#117	—	316	2	no	—
862	C₂×C₄⋊C₄	—	79	1	no	—
863	C₂×C₄⋊C₄	—	79	1	no	—
864	C₂×C₄⋊C₄	—	79	1	no	—
865	C₂×C₄⋊C₄	—	79	1	no	—
866	C₂×C₄⋊C₄	—	79	1	no	—
867	C₂×C₄⋊C₄	—	79	1	no	—
868	C₂×C₄⋊C₄	—	79	1	no	—
869	C₂×C₄⋊C₄	—	79	1	no	—
870	C₂×C₄⋊C₄	—	79	1	no	—
871	C₂×C₄⋊C₄	—	79	1	no	—
872	C₂×C₄⋊C₄	—	79	1	no	—
873	C₂×C₄⋊C₄	—	79	1	no	—
874	C₂×C₄⋊C₄	—	79	1	no	—
875	C₂×C₄⋊C₄	—	79	1	no	—
876	C₂×C₄⋊C₄	—	79	1	no	—
877	C₂×C₄⋊C₄	—	79	1	no	—
878	C₂×C₄⋊C₄	—	79	1	no	—
879	C₂×C₄⋊C₄	—	79	1	no	—
880	C₂×C₄⋊C₄	—	79	1	no	—
881	C₂×C₄⋊C₄	—	79	1	no	—
882	C₂×C₄⋊C₄	—	79	1	no	—
883	C₂×C₄⋊C₄	—	79	1	no	—
884	C₂×C₄⋊C₄	—	79	1	no	—
885	C₂×C₄⋊C₄	—	79	1	no	—
886	C₂×C₄⋊C₄	—	79	1	no	—
887	C₂×C₄⋊C₄	—	79	1	no	—
888	C₂×C₄⋊C₄	—	79	1	no	—
889	C₂×C₄⋊C₄	—	79	1	no	—
890	C₂×C₄⋊C₄	—	79	1	no	—
891	C₂×C₄⋊C₄	—	79	1	no	—
892	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	—	79	1	no	—
907	C₂×C₂²⋊C₄	—	79	1	no	—
908	C₂×C₂²⋊C₄	—	79	1	no	—
909	C₂×C₂²⋊C₄	—	79	1	no	—
910	C₂×C₂²⋊C₄	—	79	1	no	—
911	C₂×C₂²⋊C₄	—	79	1	no	—
912	C₂×C₂²⋊C₄	—	79	1	no	—
913	C₂×C₂²⋊C₄	—	79	1	no	—
914	C₂×C₂²⋊C₄	—	79	1	no	—
915	C₂×C₂²⋊C₄	—	79	1	no	—
916	C₂×C₂²⋊C₄	—	79	1	no	—
917	C₂×C₂²⋊C₄	—	79	1	no	—
918	C₂×C₂²⋊C₄	—	79	1	no	—
919	C₂×C₂²⋊C₄	—	79	1	no	—
920	C₂×C₂²⋊C₄	—	79	1	no	—
921	C₂×C₂²⋊C₄	—	79	1	no	—
922	C₂×C₂²⋊C₄	—	79	1	no	—
923	C₂×C₂²⋊C₄	—	79	1	no	—
924	C₂×C₂²⋊C₄	—	79	1	no	—
925	C₂×C₂²⋊C₄	—	79	1	no	—
926	C₂×C₂²⋊C₄	—	79	1	no	—
927	C₂×C₂²⋊C₄	—	79	1	no	—
928	C₂×C₂²⋊C₄	—	79	1	no	—
929	C₂×C₂²⋊C₄	—	79	1	no	—
930	C₂×C₄²	—	316	2	no	—
931	C₂×C₄²	—	79	1	no	—
932	C₂×C₄²	—	79	1	no	—
933	C₂×C₄²	—	79	1	no	—
934	C₂×C₄²	—	79	1	no	—
935	C₂×C₄²	—	79	1	no	—
936	C₂×C₄²	—	79	1	no	—
937	C₂×C₄²	—	79	1	no	—
938	C₂×C₄²	—	79	1	no	—
939	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
940	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
941	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
942	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
943	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
944	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
945	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
946	#95	—	79	1	no	—
947	#95	—	79	1	no	—
948	#95	—	79	1	no	—
949	#95	—	79	1	no	—
950	#95	—	79	1	no	—
951	#95	—	79	1	no	—
952	#95	—	79	1	no	—
953	#95	—	79	1	no	—
954	#95	—	79	1	no	—
955	#95	—	79	1	no	—
956	#95	—	79	1	no	—
957	#95	—	79	1	no	—
958	#95	—	79	1	no	—
959	#95	—	79	1	no	—
960	#95	—	79	1	no	—
961	#95	—	79	1	no	—
962	#95	—	79	1	no	—
963	#95	—	79	1	no	—
964	#95	—	79	1	no	—
965	#95	—	79	1	no	—
966	#95	—	79	1	no	—
967	#95	—	79	1	no	—
968	#95	—	79	1	no	—
969	#95	—	79	1	no	—
970	#95	—	79	1	no	—
971	#95	—	79	1	no	—
972	#95	—	79	1	no	—
973	#95	—	79	1	no	—
974	#95	—	79	1	no	—
975	#95	—	79	1	no	—
976	#95	—	79	1	no	—
977	#95	—	79	1	no	—
978	#95	—	79	1	no	—
979	#95	—	79	1	no	—
980	#95	—	79	1	no	—
981	#95	—	79	1	no	—
982	#95	—	79	1	no	—
983	#95	—	79	1	no	—
984	#95	—	79	1	no	—
985	#95	—	79	1	no	—
986	#95	—	79	1	no	—
987	#95	—	79	1	no	—
988	#95	—	79	1	no	—
989	#95	—	79	1	no	—
990	#95	—	79	1	no	—
991	#95	—	79	1	no	—
992	#95	—	79	1	no	—
993	#95	—	79	1	no	—
994	#95	—	79	1	no	—
995	#95	—	79	1	no	—
996	#95	—	79	1	no	—
997	#95	—	79	1	no	—
998	#95	C₂²×D₇₉	1	1	yes	characteristic
999	#95	C₂²×D₇₉	1	1	yes	characteristic
1000	#95	C₂²×D₇₉	1	1	yes	characteristic
1001	#95	C₂²×D₇₉	1	1	yes	characteristic
1002	#95	C₂²×D₇₉	1	1	yes	characteristic
1003	#95	C₂²×D₇₉	1	1	yes	characteristic
1004	#95	C₂²×D₇₉	1	1	yes	characteristic
1005	#95	C₂²×D₇₉	1	1	yes	characteristic
1006	#95	C₂²×D₇₉	1	1	yes	characteristic
1007	#95	C₂²×D₇₉	1	1	yes	characteristic
1008	#95	C₂²×D₇₉	1	1	yes	characteristic
1009	#95	C₂²×D₇₉	1	1	yes	characteristic
1010	C₂⁴	—	79	1	no	—
1011	C₂⁴	—	79	1	no	—
1012	C₂×Q₈	—	2	2	no	—
1013	C₂×Q₈	—	4	1	no	—
1014	C₂×Q₈	—	4	1	no	—
1015	C₂×Q₈	—	4	1	no	—
1016	C₂×Q₈	—	4	1	no	—
1017	C₂×Q₈	—	4	1	no	—
1018	C₂×Q₈	—	316	1	no	—
1019	C₂×Q₈	—	316	1	no	—
1020	C₂×Q₈	—	158	2	no	—
1021	C₂×D₄	—	316	1	no	—
1022	C₂×D₄	—	316	1	no	—
1023	C₂×D₄	—	158	2	no	—
1024	C₂²×C₄	—	316	1	no	—
1025	C₂²×C₄	—	316	1	no	—
1026	C₂²×C₄	—	316	1	no	—
1027	C₂²×C₄	—	316	1	no	—
1028	C₂²×C₄	—	316	1	no	—
1029	C₂²×C₄	—	79	4	no	—
1030	C₂²×C₄	—	79	1	no	—
1031	C₂²×C₄	—	79	1	no	—
1032	C₂²×C₄	—	79	1	no	—
1033	C₂²×C₄	—	79	1	no	—
1034	C₂²×C₄	—	79	1	no	—
1035	C₂²×C₄	—	79	1	no	—
1036	C₂²×C₄	—	79	1	no	—
1037	C₂²×C₄	—	79	1	no	—
1038	C₂²×C₄	—	79	1	no	—
1039	C₂²×C₄	—	79	1	no	—
1040	C₂²×C₄	—	79	1	no	—
1041	C₂²×C₄	—	79	1	no	—
1042	C₂²×C₄	—	79	1	no	—
1043	C₂²×C₄	—	79	1	no	—
1044	C₂²×C₄	—	158	2	no	—
1045	C₂²×C₄	—	158	2	no	—
1046	C₂²×C₄	—	158	2	no	—
1047	C₂²×C₄	—	158	2	no	—
1048	C₂²×C₄	—	158	2	no	—
1049	C₂²×C₄	—	158	2	no	—
1050	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	4	1	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	4	1	no	—
1075	C₄⋊C₄	—	4	1	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	316	1	no	—
1080	C₄⋊C₄	—	316	1	no	—
1081	C₄⋊C₄	—	316	1	no	—
1082	C₄⋊C₄	—	316	1	no	—
1083	C₄⋊C₄	—	316	1	no	—
1084	C₄⋊C₄	—	316	1	no	—
1085	C₄⋊C₄	—	316	1	no	—
1086	C₄⋊C₄	—	316	1	no	—
1087	C₄⋊C₄	—	316	1	no	—
1088	C₄⋊C₄	—	316	1	no	—
1089	C₄⋊C₄	—	316	1	no	—
1090	C₄⋊C₄	—	316	1	no	—
1091	C₄⋊C₄	—	316	1	no	—
1092	C₄⋊C₄	—	316	1	no	—
1093	C₄⋊C₄	—	316	1	no	—
1094	C₄⋊C₄	—	316	1	no	—
1095	C₄⋊C₄	—	316	1	no	—
1096	C₄⋊C₄	—	316	1	no	—
1097	C₄⋊C₄	—	316	1	no	—
1098	C₄⋊C₄	—	316	1	no	—
1099	C₄⋊C₄	—	316	1	no	—
1100	C₄⋊C₄	—	316	1	no	—
1101	C₄⋊C₄	—	316	1	no	—
1102	C₄⋊C₄	—	316	1	no	—
1103	C₄⋊C₄	—	158	2	no	—
1104	C₄⋊C₄	—	158	2	no	—
1105	C₄⋊C₄	—	158	2	no	—
1106	C₄⋊C₄	—	158	2	no	—
1107	C₄⋊C₄	—	158	2	no	—
1108	C₄⋊C₄	—	158	2	no	—
1109	C₂²⋊C₄	—	316	1	no	—
1110	C₂²⋊C₄	—	316	1	no	—
1111	C₂²⋊C₄	—	316	1	no	—
1112	C₂²⋊C₄	—	316	1	no	—
1113	C₂²⋊C₄	—	316	1	no	—
1114	C₂²⋊C₄	—	316	1	no	—
1115	C₂²⋊C₄	—	316	1	no	—
1116	C₂²⋊C₄	—	316	1	no	—
1117	C₂²⋊C₄	—	316	1	no	—
1118	C₂²⋊C₄	—	316	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	—	158	2	no	—
1127	C₂²⋊C₄	—	158	2	no	—
1128	C₂²⋊C₄	—	158	2	no	—
1129	C₂²⋊C₄	—	158	2	no	—
1130	C₂²⋊C₄	—	158	2	no	—
1131	C₂²⋊C₄	—	158	2	no	—
1132	C₂²⋊C₄	—	158	2	no	—
1133	C₄²	—	2	2	no	—
1134	C₄²	—	2	2	no	—
1135	C₄²	—	2	2	no	—
1136	C₄²	—	2	2	no	—
1137	C₄²	—	2	2	no	—
1138	C₄²	—	2	2	no	—
1139	C₄²	—	2	2	no	—
1140	C₄²	—	316	1	no	—
1141	C₄²	—	316	1	no	—
1142	C₄²	—	158	2	no	—
1143	C₄²	—	158	2	no	—
1144	C₄²	—	158	2	no	—
1145	C₄²	—	158	2	no	—
1146	C₄²	—	158	2	no	—
1147	C₄²	—	158	2	no	—
1148	C₂³	—	79	2	no	—
1149	C₂³	—	158	1	no	—
1150	C₂³	—	158	1	no	—
1151	C₂³	—	158	1	no	—
1152	C₂³	—	158	1	no	—
1153	C₂³	—	158	1	no	—
1154	C₂³	—	158	1	no	—
1155	C₂³	—	158	1	no	—
1156	C₂³	—	158	1	no	—
1157	C₂³	—	158	1	no	—
1158	C₂³	—	158	1	no	—
1159	C₂³	—	158	1	no	—
1160	C₂³	—	158	1	no	—
1161	C₂³	—	158	1	no	—
1162	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1163	Q₈	—	4	4	no	—
1164	Q₈	—	4	4	no	—
1165	Q₈	—	316	4	no	—
1166	D₄	—	316	4	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	316	4	no	—
1209	C₂×C₄	—	316	4	no	—
1210	C₂×C₄	—	316	4	no	—
1211	C₂×C₄	—	316	4	no	—
1212	C₂×C₄	—	79	2	no	—
1213	C₂×C₄	—	158	1	no	—
1214	C₂×C₄	—	158	1	no	—
1215	C₂×C₄	—	158	1	no	—
1216	C₂×C₄	—	158	1	no	—
1217	C₂×C₄	—	158	1	no	—
1218	C₂×C₄	—	158	1	no	—
1219	C₂×C₄	—	158	1	no	—
1220	C₂×C₄	—	158	1	no	—
1221	C₂×C₄	—	158	1	no	—
1222	C₂×C₄	—	158	1	no	—
1223	C₂×C₄	—	158	1	no	—
1224	C₂×C₄	—	158	1	no	—
1225	C₂×C₄	—	158	1	no	—
1226	C₂×C₄	—	158	1	no	—
1227	C₂×C₄	—	158	1	no	—
1228	C₂×C₄	—	158	1	no	—
1229	C₂×C₄	—	158	1	no	—
1230	C₂×C₄	—	158	1	no	—
1231	C₂×C₄	—	158	1	no	—
1232	C₂×C₄	—	158	1	no	—
1233	C₂×C₄	—	158	1	no	—
1234	C₂×C₄	—	158	1	no	—
1235	C₂×C₄	—	158	1	no	—
1236	C₂×C₄	—	158	1	no	—
1237	C₂×C₄	—	158	1	no	—
1238	C₂×C₄	—	158	1	no	—
1239	C₂×C₄	—	158	1	no	—
1240	C₂×C₄	—	158	1	no	—
1241	C₂×C₄	—	158	1	no	—
1242	C₂×C₄	—	158	1	no	—
1243	C₂×C₄	—	158	1	no	—
1244	C₂×C₄	—	158	1	no	—
1245	C₂×C₄	—	158	1	no	—
1246	C₂×C₄	—	158	1	no	—
1247	C₂×C₄	—	158	1	no	—
1248	C₂×C₄	—	158	1	no	—
1249	C₂×C₄	—	158	1	no	—
1250	C₂×C₄	—	158	1	no	—
1251	C₂×C₄	—	158	1	no	—
1252	C₂×C₄	—	158	1	no	—
1253	C₂×C₄	—	158	1	no	—
1254	C₂×C₄	#41×D₇₉	1	2	yes	—
1255	C₂×C₄	#14579206	1	2	yes	—
1256	C₂×C₄	#14579209	1	2	yes	—
1257	C₂×C₄	#14579209	1	2	yes	—
1258	C₂²	—	316	1	no	—
1259	C₂²	—	316	1	no	—
1260	C₂²	—	316	1	no	—
1261	C₂²	—	316	1	no	—
1262	C₂²	—	316	1	no	—
1263	C₂²	—	316	1	no	—
1264	C₂²	—	316	1	no	—
1265	C₂²	—	316	1	no	—
1266	C₂²	—	316	1	no	—
1267	C₂²	—	316	1	no	—
1268	C₂²	—	316	1	no	—
1269	C₂²	—	158	2	no	—
1270	C₂²	—	158	2	no	—
1271	C₂²	—	158	2	no	—
1272	C₂²	C₂×#41×D₇₉	1	1	yes	characteristic
1273	C₂²	C₂×#14579206	1	1	yes	characteristic
1274	C₂²	C₂×#14579209	1	1	yes	characteristic
1275	C₂²	C₂×#14579209	1	1	yes	characteristic
1276	C₂²	#19099399	1	1	yes	characteristic
1277	C₂²	#19099399	1	1	yes	characteristic
1278	C₂²	#19099399	1	1	yes	characteristic
1279	C₄	—	2	2	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	4	1	no	—
1293	C₄	—	316	1	no	—
1294	C₄	—	316	1	no	—
1295	C₄	—	316	1	no	—
1296	C₄	—	316	1	no	—
1297	C₄	—	316	1	no	—
1298	C₄	—	316	1	no	—
1299	C₄	—	316	1	no	—
1300	C₄	—	316	1	no	—
1301	C₄	—	316	1	no	—
1302	C₄	—	316	1	no	—
1303	C₄	—	316	1	no	—
1304	C₄	—	316	1	no	—
1305	C₄	—	316	1	no	—
1306	C₄	—	158	2	no	—
1307	C₄	#19099312	1	4	yes	—
1308	C₂	—	316	2	no	—
1309	C₂	—	632	1	no	—
1310	C₂	#23776807	1	1	yes	characteristic
1311	C₂	#23776831	1	1	yes	characteristic
1312	C₂	#23776831	1	1	yes	characteristic
1313	C₂	C₂×#19099312	1	1	yes	characteristic
1314	C₂	#23777538	1	1	yes	characteristic
1315	C₂	#23777547	1	1	yes	characteristic
1316	C₂	#23777547	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₇₉
commutator, socle, cosocle	C₂³×C₇₉	C₂⁵
Frattini	C₂³	C₂⁴×D₇₉
Fitting	C₇₉×#2399	C₂
prime radical	C₂²×D₃₁₆	C₂³
hypercenter	#2399	D₇₉
hypocenter	C₇₉	#36679
LCS	G ▷ C₂³×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂²×C₄ ◁ #2399

Complements

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

N	H ≅ G/N	type
1. #23771654	C₂	semidirect
2. #23771646	C₂	semidirect
3. #23771637	C₂	semidirect
4. #23771635	C₂	semidirect
5. #23771624	C₂	semidirect
6. #23771589	C₂	semidirect
7. #23771582	C₂	semidirect
8. #23771579	C₂	semidirect
9. #23771575	C₂	semidirect
10. #23771563	C₂	semidirect
11. #23771560	C₂	semidirect
14. #23771434	C₂	semidirect
17. #23766707	C₂	semidirect
18. #23766707	C₂	semidirect
19. #23766701	C₂	semidirect
20. #23766701	C₂	semidirect
21. #23766698	C₂	semidirect
22. #23766698	C₂	semidirect
23. #23766691	C₂	semidirect
25. #23766676	C₂	semidirect
26. #23766670	C₂	semidirect
28. C₄×#14579139	C₂	semidirect
29. C₄×#14579137	C₂	semidirect
31. C₇₉×#2399	C₂	semidirect
682. #2399	D₇₉	semidirect
690. C₇₉	#36679	semidirect

Maximal subgroups

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

subgroup	index
#23771654	2
#23771646	2
#23771637	2
#23771635	2
#23771624	2
#23771589	2
#23771582	2
#23771579	2
#23771575	2
#23771563	2
#23771560	2
#23771515	2
#23771503	2
#23771434	2
#23771420	2
#23771412	2
#23766707	2
#23766701	2
#23766698	2
#23766691	2
#23766683	2
#23766676	2
#23766670	2
#23766663	2
C₄×#14579139	2
C₄×#14579137	2
C₄×#14579146	2
C₇₉×#2399	2
#36679	79