Subgroups — #34508318

Order 20224.

1492 conjugacy classes of subgroups.

The subgroup lattice has 1322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23771781	C₂	1	1	yes	maximal, characteristic, complemented
2	#23771779	C₂	1	1	yes	maximal, characteristic, complemented
3	#23771393	C₂	1	1	yes	maximal, characteristic, complemented
4	#23771381	C₂	1	1	yes	maximal, characteristic
5	#23771374	C₂	1	1	yes	maximal, characteristic
6	#23771159	C₂	1	1	yes	maximal, characteristic, complemented
7	#23771154	C₂	1	1	yes	maximal, characteristic, complemented
8	#23770980	C₂	1	1	yes	maximal, characteristic, complemented
9	#23770976	C₂	1	1	yes	maximal, characteristic, complemented
10	#23770975	C₂	1	1	yes	maximal, characteristic, complemented
11	#23770967	C₂	1	1	yes	maximal, characteristic, complemented
12	#23770774	C₂	1	1	yes	maximal, characteristic, complemented
13	#23770770	C₂	1	1	yes	maximal, characteristic, complemented
14	#23770769	C₂	1	1	yes	maximal, characteristic, complemented
15	#23770761	C₂	1	1	yes	maximal, characteristic, complemented
16	#23770433	C₂	1	1	yes	maximal, characteristic, complemented
17	#23770411	C₂	1	1	yes	maximal, characteristic
18	#23770407	C₂	1	1	yes	maximal, characteristic
19	#23769321	C₂	1	1	yes	maximal, characteristic
20	#23769320	C₂	1	1	yes	maximal, characteristic
21	#23768193	C₂	1	1	yes	maximal, characteristic, complemented
22	#23768183	C₂	1	1	yes	maximal, characteristic, complemented
23	#23768181	C₂	1	1	yes	maximal, characteristic, complemented
24	#23767425	C₂	1	1	yes	maximal, characteristic, complemented
25	#23767423	C₂	1	1	yes	maximal, characteristic, complemented
26	#23767421	C₂	1	1	yes	maximal, characteristic, complemented
27	#23767419	C₂	1	1	yes	maximal, characteristic, complemented
28	#23766119	C₂	1	1	yes	maximal, characteristic, complemented
29	#23766115	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#14579147	C₂	1	1	yes	maximal, characteristic
31	C₇₉×#2527	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14579161	C₂²	1	1	yes	characteristic
33	C₂×#14579160	C₂²	1	1	yes	characteristic
34	C₂×#14579147	C₂²	1	1	yes	characteristic
35	C₂×#14579140	C₂²	1	1	yes	characteristic
36	C₂×#14579139	C₂²	1	1	yes	characteristic
37	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
38	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
39	C₂×#14579126	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
41	C₇₉⋊#401	C₂²	1	1	yes	characteristic
42	C₇₉⋊#401	C₂²	1	1	yes	characteristic
43	C₇₉⋊#401	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	#19098497	C₂²	1	1	yes	characteristic
48	#19098495	C₂²	1	1	yes	characteristic
49	#19098492	C₂²	1	1	yes	characteristic
50	#19098492	C₂²	1	1	yes	characteristic
51	#19098491	C₂²	1	1	yes	characteristic
52	#19098491	C₂²	1	1	yes	characteristic
53	#19098490	C₂²	1	1	yes	characteristic
54	#19098489	C₂²	1	1	yes	characteristic
55	#19098489	C₂²	1	1	yes	characteristic
56	#19098488	C₂²	1	1	yes	characteristic
57	#19098488	C₂²	1	1	yes	characteristic
58	#19098486	C₂²	1	1	yes	characteristic
59	#19098486	C₂²	1	1	yes	characteristic
60	#19098485	C₂²	1	1	yes	characteristic
61	#19098485	C₂²	1	1	yes	characteristic
62	#19098484	C₂²	1	1	yes	characteristic
63	#19098484	C₂²	1	1	yes	characteristic
64	#19098484	C₂²	1	1	yes	characteristic
65	#19098484	C₂²	1	1	yes	characteristic
66	#19098484	C₂²	1	1	yes	characteristic
67	#19098484	C₂²	1	1	yes	characteristic
68	#19098484	C₂²	1	1	yes	characteristic
69	#19098483	C₂²	1	1	yes	characteristic
70	#19098483	C₂²	1	1	yes	characteristic
71	#19098483	C₂²	1	1	yes	characteristic
72	#19098479	C₂²	1	1	yes	characteristic
73	#19098479	C₂²	1	1	yes	characteristic
74	#19098479	C₂²	1	1	yes	characteristic
75	#19098478	C₂²	1	1	yes	characteristic
76	#19098476	C₂²	1	1	yes	characteristic
77	#19098476	C₂²	1	1	yes	characteristic
78	#19098476	C₂²	1	1	yes	characteristic
79	#19098476	C₂²	1	1	yes	characteristic
80	#19098475	C₂²	1	1	yes	characteristic
81	#19098475	C₂²	1	1	yes	characteristic
82	#19098475	C₂²	1	1	yes	characteristic
83	#19098475	C₂²	1	1	yes	characteristic
84	#19098474	C₂²	1	1	yes	characteristic
85	#19098470	C₂²	1	1	yes	characteristic
86	#19098470	C₂²	1	1	yes	characteristic
87	#19098470	C₂²	1	1	yes	characteristic
88	#19098469	C₂²	1	1	yes	characteristic
89	#19098469	C₂²	1	1	yes	characteristic
90	#19098469	C₂²	1	1	yes	characteristic
91	#19098468	C₂²	1	1	yes	characteristic
92	#19098467	C₂²	1	1	yes	characteristic
93	#19098467	C₂²	1	1	yes	characteristic
94	#19098467	C₂²	1	1	yes	characteristic
95	#19098467	C₂²	1	1	yes	characteristic
96	#19098467	C₂²	1	1	yes	characteristic
97	#19098467	C₂²	1	1	yes	characteristic
98	#19098467	C₂²	1	1	yes	characteristic
99	#19098467	C₂²	1	1	yes	characteristic
100	#19098467	C₂²	1	1	yes	characteristic
101	#19098467	C₂²	1	1	yes	characteristic
102	#19098463	C₂²	1	1	yes	characteristic
103	#19098462	C₂²	1	1	yes	characteristic
104	#19098461	C₂²	1	1	yes	characteristic
105	#19098460	C₂²	1	1	yes	characteristic
106	#19098459	C₂²	1	1	yes	characteristic
107	#19098458	C₂²	1	1	yes	characteristic
108	#19098458	C₂²	1	1	yes	characteristic
109	#19098457	C₂²	1	1	yes	characteristic
110	#19098457	C₂²	1	1	yes	characteristic
111	#19098457	C₂²	1	1	yes	characteristic
112	#19098456	C₂²	1	1	yes	characteristic
113	#19098456	C₂²	1	1	yes	characteristic
114	#19098456	C₂²	1	1	yes	characteristic
115	#19098456	C₂²	1	1	yes	characteristic
116	#19098455	C₂²	1	1	yes	characteristic
117	#19098455	C₂²	1	1	yes	characteristic
118	#19098455	C₂²	1	1	yes	characteristic
119	#19098455	C₂²	1	1	yes	characteristic
120	#19098454	C₂²	1	1	yes	characteristic
121	#19098454	C₂²	1	1	yes	characteristic
122	#19098452	C₂²	1	1	yes	characteristic
123	#19098452	C₂²	1	1	yes	characteristic
124	#19098452	C₂²	1	1	yes	characteristic
125	#19098452	C₂²	1	1	yes	characteristic
126	#19098451	C₂²	1	1	yes	characteristic
127	#19098450	C₂²	1	1	yes	characteristic
128	#19098450	C₂²	1	1	yes	characteristic
129	#19098450	C₂²	1	1	yes	characteristic
130	#19098450	C₂²	1	1	yes	characteristic
131	#19098450	C₂²	1	1	yes	characteristic
132	#19098449	C₂²	1	1	yes	characteristic
133	#19098449	C₂²	1	1	yes	characteristic
134	#19098449	C₂²	1	1	yes	characteristic
135	#19098449	C₂²	1	1	yes	characteristic
136	#19098448	C₂²	1	1	yes	characteristic
137	#19098448	C₂²	1	1	yes	characteristic
138	#19098448	C₂²	1	1	yes	characteristic
139	#19098448	C₂²	1	1	yes	characteristic
140	#19098448	C₂²	1	1	yes	characteristic
141	#19098448	C₂²	1	1	yes	characteristic
142	#19098448	C₂²	1	1	yes	characteristic
143	#19098448	C₂²	1	1	yes	characteristic
144	#19098448	C₂²	1	1	yes	characteristic
145	#19098448	C₂²	1	1	yes	characteristic
146	#19098447	C₂²	1	1	yes	characteristic
147	#19098447	C₂²	1	1	yes	characteristic
148	#19098447	C₂²	1	1	yes	characteristic
149	#19098446	C₂²	1	1	yes	characteristic
150	#19098446	C₂²	1	1	yes	characteristic
151	#19098445	C₂²	1	1	yes	characteristic
152	#19098445	C₂²	1	1	yes	characteristic
153	#19098445	C₂²	1	1	yes	characteristic
154	#19098445	C₂²	1	1	yes	characteristic
155	#19098444	C₂²	1	1	yes	characteristic
156	#19098437	C₂²	1	1	yes	characteristic
157	#19098437	C₂²	1	1	yes	characteristic
158	#19098436	C₂²	1	1	yes	characteristic
159	#19098430	C₂²	1	1	yes	characteristic
160	#19098430	C₂²	1	1	yes	characteristic
161	#19098430	C₂²	1	1	yes	characteristic
162	#19098430	C₂²	1	1	yes	characteristic
163	#19098429	C₂²	1	1	yes	characteristic
164	#19098427	C₂²	1	1	yes	characteristic
165	#19098427	C₂²	1	1	yes	characteristic
166	#19098425	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×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
170	#19098408	C₂²	1	1	yes	characteristic
171	C₄²×Dic₇₉	C₂²	1	1	yes	characteristic
172	#401×C₇₉	C₂²	1	1	yes	characteristic
173	#400×C₇₉	C₂²	1	1	yes	characteristic
174	#397×C₇₉	C₂²	1	1	yes	characteristic
175	#393×C₇₉	C₂²	1	1	yes	characteristic
176	#391×C₇₉	C₂²	1	1	yes	characteristic
177	#391×C₇₉	C₂²	1	1	yes	characteristic
178	#388×C₇₉	C₂²	1	1	yes	characteristic
179	#388×C₇₉	C₂²	1	1	yes	characteristic
180	#387×C₇₉	C₂²	1	1	yes	characteristic
181	#387×C₇₉	C₂²	1	1	yes	characteristic
182	#387×C₇₉	C₂²	1	1	yes	characteristic
183	#385×C₇₉	C₂²	1	1	yes	characteristic
184	#381×C₇₉	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊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×Dic₁₅₈	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
191	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
192	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
195	#14579161	—	2	4	no	—
196	#14579160	—	2	4	no	—
197	#14579147	—	2	4	no	—
198	#14579140	—	4	2	no	—
199	#14579139	—	4	2	no	—
200	C₄×Dic₁₅₈	—	4	2	no	—
201	C₄×Dic₁₅₈	—	4	2	no	—
202	#14579126	—	4	2	no	—
203	C₄×C₂²⋊D₇₉	—	4	2	no	—
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×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×C₄⋊Dic₇₉	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×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₇₉	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	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
266	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	C₇₉⋊#95	C₂³	1	1	yes	characteristic
315	C₇₉⋊#95	C₂³	1	1	yes	characteristic
316	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
317	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
333	#95×C₇₉	C₂³	1	1	yes	characteristic
334	#95×C₇₉	C₂³	1	1	yes	characteristic
335	#95×C₇₉	C₂³	1	1	yes	characteristic
336	#95×C₇₉	C₂³	1	1	yes	characteristic
337	#95×C₇₉	C₂³	1	1	yes	characteristic
338	#95×C₇₉	C₂³	1	1	yes	characteristic
339	#95×C₇₉	C₂³	1	1	yes	characteristic
340	#95×C₇₉	C₂³	1	1	yes	characteristic
341	#95×C₇₉	C₂³	1	1	yes	characteristic
342	#95×C₇₉	C₂³	1	1	yes	characteristic
343	#95×C₇₉	C₂³	1	1	yes	characteristic
344	#95×C₇₉	C₂³	1	1	yes	characteristic
345	#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	C₂×Dic₁₅₈	—	2	2	no	—
353	C₂×Dic₁₅₈	—	2	2	no	—
354	C₂×Dic₁₅₈	—	2	2	no	—
355	C₂×Dic₁₅₈	—	4	1	no	—
356	C₂×Dic₁₅₈	—	4	1	no	—
357	C₂×Dic₁₅₈	—	4	1	no	—
358	C₂×Dic₁₅₈	—	4	1	no	—
359	C₂×Dic₁₅₈	—	4	1	no	—
360	C₂×Dic₁₅₈	—	4	1	no	—
361	C₂×Dic₁₅₈	—	4	1	no	—
362	C₂×Dic₁₅₈	—	4	1	no	—
363	C₂×Dic₁₅₈	—	4	1	no	—
364	C₂×Dic₁₅₈	—	4	1	no	—
365	C₂×Dic₁₅₈	—	4	1	no	—
366	C₂×Dic₁₅₈	—	4	1	no	—
367	C₂×Dic₁₅₈	—	4	1	no	—
368	C₂×Dic₁₅₈	—	4	1	no	—
369	C₂×Dic₁₅₈	#41	1	4	yes	—
370	C₂×C₂²⋊D₇₉	—	2	2	no	—
371	C₂×C₂²⋊D₇₉	—	4	1	no	—
372	C₂×C₂²⋊D₇₉	—	4	1	no	—
373	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₇₉	—	2	2	no	—
389	C₂×C₄×D₇₉	—	4	1	no	—
390	C₂×C₄×D₇₉	—	4	1	no	—
391	C₄⋊Dic₇₉	—	2	2	no	—
392	C₄⋊Dic₇₉	—	2	2	no	—
393	C₄⋊Dic₇₉	—	2	2	no	—
394	C₄⋊Dic₇₉	—	2	2	no	—
395	C₄⋊Dic₇₉	—	2	2	no	—
396	C₄⋊Dic₇₉	—	4	1	no	—
397	C₄⋊Dic₇₉	—	4	1	no	—
398	C₄⋊Dic₇₉	—	4	1	no	—
399	C₄⋊Dic₇₉	—	4	1	no	—
400	C₄⋊Dic₇₉	—	4	1	no	—
401	C₄⋊Dic₇₉	—	4	1	no	—
402	C₄⋊Dic₇₉	—	4	1	no	—
403	Dic₇₉⋊C₄	—	2	2	no	—
404	Dic₇₉⋊C₄	—	2	2	no	—
405	Dic₇₉⋊C₄	—	2	2	no	—
406	Dic₇₉⋊C₄	—	2	2	no	—
407	Dic₇₉⋊C₄	—	2	2	no	—
408	Dic₇₉⋊C₄	—	2	2	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	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	C₂²⋊Dic₇₉	—	2	2	no	—
421	C₂²⋊Dic₇₉	—	2	2	no	—
422	C₂²⋊Dic₇₉	—	4	1	no	—
423	C₂²⋊Dic₇₉	—	4	1	no	—
424	C₂²⋊Dic₇₉	—	4	1	no	—
425	C₂²⋊Dic₇₉	—	4	1	no	—
426	C₂²⋊Dic₇₉	—	4	1	no	—
427	(C₂×D₇₉)⋊C₄	—	2	2	no	—
428	(C₂×D₇₉)⋊C₄	—	2	2	no	—
429	(C₂×D₇₉)⋊C₄	—	2	2	no	—
430	(C₂×D₇₉)⋊C₄	—	2	2	no	—
431	(C₂×D₇₉)⋊C₄	—	4	1	no	—
432	(C₂×D₇₉)⋊C₄	—	4	1	no	—
433	(C₂×D₇₉)⋊C₄	—	4	1	no	—
434	(C₂×D₇₉)⋊C₄	—	4	1	no	—
435	(C₂×D₇₉)⋊C₄	—	4	1	no	—
436	(C₂×D₇₉)⋊C₄	—	4	1	no	—
437	(C₂×D₇₉)⋊C₄	—	4	1	no	—
438	(C₂×D₇₉)⋊C₄	—	4	1	no	—
439	(C₂×D₇₉)⋊C₄	—	4	1	no	—
440	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	—	2	2	no	—
446	C₄×Dic₇₉	—	4	1	no	—
447	C₄×Dic₇₉	—	4	1	no	—
448	C₄×Dic₇₉	—	4	1	no	—
449	C₄×Dic₇₉	—	4	1	no	—
450	C₄×Dic₇₉	—	4	1	no	—
451	C₄×Dic₇₉	—	4	1	no	—
452	C₄×Dic₇₉	—	4	1	no	—
453	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
454	C₂×Q₈×C₇₉	—	2	2	no	—
455	C₂×Q₈×C₇₉	—	4	1	no	—
456	C₂×Q₈×C₇₉	—	4	1	no	—
457	C₂²×C₄×C₇₉	—	2	2	no	—
458	C₂²×C₄×C₇₉	—	4	1	no	—
459	C₂²×C₄×C₇₉	—	4	1	no	—
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	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
474	C₄⋊C₄×C₇₉	—	2	2	no	—
475	C₄⋊C₄×C₇₉	—	2	2	no	—
476	C₄⋊C₄×C₇₉	—	2	2	no	—
477	C₄⋊C₄×C₇₉	—	4	1	no	—
478	C₄⋊C₄×C₇₉	—	4	1	no	—
479	C₂²⋊C₄×C₇₉	—	2	2	no	—
480	C₂²⋊C₄×C₇₉	—	2	2	no	—
481	C₂²⋊C₄×C₇₉	—	4	1	no	—
482	C₂²⋊C₄×C₇₉	—	4	1	no	—
483	C₂²⋊C₄×C₇₉	—	4	1	no	—
484	C₂²⋊C₄×C₇₉	—	4	1	no	—
485	C₄²×C₇₉	—	2	2	no	—
486	C₄²×C₇₉	—	2	2	no	—
487	C₄²×C₇₉	—	4	1	no	—
488	C₄²×C₇₉	—	4	1	no	—
489	C₂³×C₇₉	—	2	1	no	—
490	C₂³×C₇₉	—	2	1	no	—
491	C₂³×C₇₉	—	2	1	no	—
492	C₂³×C₇₉	—	2	1	no	—
493	C₂³×C₇₉	—	2	1	no	—
494	C₂³×C₇₉	—	2	1	no	—
495	C₂³×C₇₉	—	2	1	no	—
496	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
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	—	2	1	no	—
504	Q₈×C₇₉	—	8	2	no	—
505	C₂×C₄×C₇₉	—	2	1	no	—
506	C₂×C₄×C₇₉	—	2	1	no	—
507	C₂×C₄×C₇₉	—	2	1	no	—
508	C₂×C₄×C₇₉	—	2	1	no	—
509	C₂×C₄×C₇₉	—	2	1	no	—
510	C₂×C₄×C₇₉	—	2	1	no	—
511	C₂×C₄×C₇₉	—	2	1	no	—
512	C₂×C₄×C₇₉	—	2	1	no	—
513	C₂×C₄×C₇₉	—	2	1	no	—
514	C₂×C₄×C₇₉	—	2	1	no	—
515	C₂×C₄×C₇₉	—	2	1	no	—
516	C₂×C₄×C₇₉	—	2	1	no	—
517	C₂×C₄×C₇₉	—	2	1	no	—
518	C₂×C₄×C₇₉	—	2	1	no	—
519	C₂×C₄×C₇₉	—	2	1	no	—
520	C₂×C₄×C₇₉	—	2	1	no	—
521	C₂×C₄×C₇₉	—	2	1	no	—
522	C₂×C₄×C₇₉	—	2	1	no	—
523	C₂×C₄×C₇₉	—	2	1	no	—
524	C₂×C₄×C₇₉	—	2	1	no	—
525	C₂×C₄×C₇₉	—	2	1	no	—
526	C₂×C₄×C₇₉	—	2	1	no	—
527	C₂×C₄×C₇₉	—	2	1	no	—
528	C₂×C₄×C₇₉	—	2	1	no	—
529	C₂×C₄×C₇₉	—	2	1	no	—
530	C₂×C₄×C₇₉	—	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	—	8	2	no	—
545	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
546	C₂×C₄×C₇₉	H(5,𝔽₂)	1	2	yes	—
547	C₂×C₄×C₇₉	2₋¹⁺⁴	1	2	yes	—
548	C₂²⋊D₇₉	—	4	4	no	—
549	C₂×Dic₇₉	—	2	1	no	—
550	C₂×Dic₇₉	—	2	1	no	—
551	C₂×Dic₇₉	—	2	1	no	—
552	C₂×Dic₇₉	—	2	1	no	—
553	C₂×Dic₇₉	—	2	1	no	—
554	C₂×Dic₇₉	—	2	1	no	—
555	C₂×Dic₇₉	—	2	1	no	—
556	C₂×Dic₇₉	—	2	1	no	—
557	C₂×Dic₇₉	—	2	1	no	—
558	C₂×Dic₇₉	—	2	1	no	—
559	C₂×Dic₇₉	—	2	1	no	—
560	C₂×Dic₇₉	—	2	1	no	—
561	C₂×Dic₇₉	—	2	1	no	—
562	C₂×Dic₇₉	—	2	1	no	—
563	C₂×Dic₇₉	—	2	1	no	—
564	C₂×Dic₇₉	—	2	1	no	—
565	C₂×Dic₇₉	—	2	1	no	—
566	C₂×Dic₇₉	—	2	1	no	—
567	C₂×Dic₇₉	—	2	1	no	—
568	C₂×Dic₇₉	—	2	1	no	—
569	C₂×Dic₇₉	—	2	1	no	—
570	C₂×Dic₇₉	—	2	1	no	—
571	C₂×Dic₇₉	—	2	1	no	—
572	C₂×Dic₇₉	—	2	1	no	—
573	C₂×Dic₇₉	—	2	1	no	—
574	C₂×Dic₇₉	—	2	1	no	—
575	C₂×Dic₇₉	—	2	1	no	—
576	C₂×Dic₇₉	—	2	1	no	—
577	C₂×Dic₇₉	—	2	1	no	—
578	C₂×Dic₇₉	—	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	C₂×#41	1	2	yes	—
592	C₂×Dic₇₉	C₂×#41	1	2	yes	—
593	C₂×Dic₇₉	2₋¹⁺⁴	1	2	yes	—
594	C₄×D₇₉	—	8	2	no	—
595	Dic₁₅₈	—	4	4	no	—
596	Dic₁₅₈	—	4	4	no	—
597	Dic₁₅₈	—	4	4	no	—
598	Dic₁₅₈	—	8	2	no	—
599	Dic₁₅₈	—	8	2	no	—
600	Dic₁₅₈	—	8	2	no	—
601	C₂²×C₇₉	—	4	1	no	—
602	C₂²×C₇₉	—	4	1	no	—
603	C₂²×C₇₉	—	4	1	no	—
604	C₂²×C₇₉	—	4	1	no	—
605	C₂²×C₇₉	—	4	1	no	—
606	C₂²×C₇₉	—	4	1	no	—
607	C₂²×C₇₉	—	4	1	no	—
608	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
609	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
610	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
611	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
612	C₂²×C₇₉	#585	1	1	yes	characteristic
613	C₂²×C₇₉	#585	1	1	yes	characteristic
614	C₂²×C₇₉	#585	1	1	yes	characteristic
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	C₂×D₇₉	—	4	1	no	—
621	C₂×D₇₉	—	4	1	no	—
622	C₄×C₇₉	—	2	2	no	—
623	C₄×C₇₉	—	2	2	no	—
624	C₄×C₇₉	—	2	2	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	—	4	1	no	—
635	C₄×C₇₉	—	4	1	no	—
636	Dic₇₉	—	2	2	no	—
637	Dic₇₉	—	2	2	no	—
638	Dic₇₉	—	2	2	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	Dic₇₉	—	4	1	no	—
650	Dic₇₉	—	4	1	no	—
651	#37208	—	79	1	no	maximal, Sylow
652	C₂×C₇₉	—	8	1	no	—
653	C₂×C₇₉	#3459	1	1	yes	characteristic
654	C₂×C₇₉	#3518	1	1	yes	characteristic
655	C₂×C₇₉	#3518	1	1	yes	characteristic
656	C₂×C₇₉	#3545	1	1	yes	characteristic
657	C₂×C₇₉	#3550	1	1	yes	characteristic
658	C₂×C₇₉	#3564	1	1	yes	characteristic
659	C₂×C₇₉	#3564	1	1	yes	characteristic
660	D₇₉	—	8	1	no	—
661	#2863	—	79	1	no	—
662	#2863	—	79	1	no	—
663	#2811	—	79	1	no	—
664	#2808	—	79	1	no	—
665	#2808	—	79	1	no	—
666	#2789	—	79	1	no	—
667	#2789	—	79	1	no	—
668	#2775	—	79	1	no	—
669	#2775	—	79	1	no	—
670	#2775	—	79	1	no	—
671	#2775	—	79	1	no	—
672	#2759	—	79	1	no	—
673	#2759	—	79	1	no	—
674	#2759	—	79	1	no	—
675	#2759	—	79	1	no	—
676	#2734	—	79	1	no	—
677	#2731	—	79	1	no	—
678	#2731	—	79	1	no	—
679	#2638	—	79	1	no	—
680	#2638	—	79	1	no	—
681	#2527	—	79	1	no	—
682	#2527	—	79	1	no	—
683	#2527	—	79	1	no	—
684	#2527	D₇₉	1	1	yes	characteristic, complemented
685	#2465	—	79	1	no	—
686	#2465	—	79	1	no	—
687	#2465	—	79	1	no	—
688	#2465	—	79	1	no	—
689	#2327	—	79	1	no	—
690	#2327	—	79	1	no	—
691	C₄×#124	—	79	1	no	—
692	C₇₉	#37208	1	1	yes	characteristic, complemented, Sylow
693	C₂×C₄⋊Q₈	—	79	1	no	—
694	C₂×C₄⋊Q₈	—	79	1	no	—
695	C₂×#124	—	79	1	no	—
696	C₂×C₂²⋊Q₈	—	79	1	no	—
697	C₂×C₂²⋊Q₈	—	79	1	no	—
698	C₂×C₄×Q₈	—	79	1	no	—
699	C₂×C₄×Q₈	—	79	1	no	—
700	C₂×C₄×Q₈	—	79	1	no	—
701	C₂×C₄×D₄	—	79	1	no	—
702	#401	—	79	1	no	—
703	#401	—	79	1	no	—
704	#401	—	79	1	no	—
705	#401	C₂×D₇₉	1	1	yes	characteristic
706	#400	—	79	1	no	—
707	#400	—	79	1	no	—
708	#400	—	79	1	no	—
709	#400	C₂×D₇₉	1	1	yes	characteristic
710	#398	—	79	1	no	—
711	#398	—	79	1	no	—
712	#397	—	79	1	no	—
713	#397	—	79	1	no	—
714	#397	—	79	1	no	—
715	#397	—	79	1	no	—
716	#397	—	79	1	no	—
717	#397	—	79	1	no	—
718	#397	—	79	1	no	—
719	#397	—	79	1	no	—
720	#397	—	79	1	no	—
721	#397	C₂×D₇₉	1	1	yes	characteristic
722	#396	—	79	1	no	—
723	#396	—	79	1	no	—
724	#396	—	79	1	no	—
725	#396	—	79	1	no	—
726	#395	—	79	1	no	—
727	#395	—	79	1	no	—
728	#395	—	79	1	no	—
729	#395	—	79	1	no	—
730	#395	—	79	1	no	—
731	#395	—	79	1	no	—
732	#395	—	79	1	no	—
733	#395	—	79	1	no	—
734	#395	—	79	1	no	—
735	#395	—	79	1	no	—
736	#394	—	79	1	no	—
737	#394	—	79	1	no	—
738	#394	—	79	1	no	—
739	#394	—	79	1	no	—
740	#393	—	79	1	no	—
741	#393	—	79	1	no	—
742	#393	—	79	1	no	—
743	#393	—	79	1	no	—
744	#393	—	79	1	no	—
745	#393	—	79	1	no	—
746	#393	—	79	1	no	—
747	#393	—	79	1	no	—
748	#393	—	79	1	no	—
749	#393	C₂×D₇₉	1	1	yes	characteristic
750	#391	—	79	1	no	—
751	#391	—	79	1	no	—
752	#391	—	79	1	no	—
753	#391	—	79	1	no	—
754	#391	—	79	1	no	—
755	#391	—	79	1	no	—
756	#391	—	79	1	no	—
757	#391	—	79	1	no	—
758	#391	—	79	1	no	—
759	#391	—	79	1	no	—
760	#391	—	79	1	no	—
761	#391	—	79	1	no	—
762	#391	—	79	1	no	—
763	#391	—	79	1	no	—
764	#391	—	79	1	no	—
765	#391	—	79	1	no	—
766	#391	—	79	1	no	—
767	#391	C₂×D₇₉	1	1	yes	characteristic
768	#391	C₂×D₇₉	1	1	yes	characteristic
769	#390	—	79	1	no	—
770	#389	—	79	1	no	—
771	#389	—	79	1	no	—
772	#389	—	79	1	no	—
773	#389	—	79	1	no	—
774	#389	—	79	1	no	—
775	#389	—	79	1	no	—
776	#388	—	79	1	no	—
777	#388	—	79	1	no	—
778	#388	—	79	1	no	—
779	#388	—	79	1	no	—
780	#388	—	79	1	no	—
781	#388	—	79	1	no	—
782	#388	—	79	1	no	—
783	#388	—	79	1	no	—
784	#388	—	79	1	no	—
785	#388	—	79	1	no	—
786	#388	—	79	1	no	—
787	#388	—	79	1	no	—
788	#388	—	79	1	no	—
789	#388	—	79	1	no	—
790	#388	—	79	1	no	—
791	#388	—	79	1	no	—
792	#388	—	79	1	no	—
793	#388	—	79	1	no	—
794	#388	C₂×D₇₉	1	1	yes	characteristic
795	#388	C₂×D₇₉	1	1	yes	characteristic
796	#387	—	79	1	no	—
797	#387	—	79	1	no	—
798	#387	—	79	1	no	—
799	#387	—	79	1	no	—
800	#387	—	79	1	no	—
801	#387	—	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	#387	—	79	1	no	—
809	#387	—	79	1	no	—
810	#387	—	79	1	no	—
811	#387	—	79	1	no	—
812	#387	—	79	1	no	—
813	#387	—	79	1	no	—
814	#387	—	79	1	no	—
815	#387	—	79	1	no	—
816	#387	—	79	1	no	—
817	#387	—	79	1	no	—
818	#387	—	79	1	no	—
819	#387	—	79	1	no	—
820	#387	—	79	1	no	—
821	#387	—	79	1	no	—
822	#387	—	79	1	no	—
823	#387	—	79	1	no	—
824	#387	—	79	1	no	—
825	#387	C₂×D₇₉	1	1	yes	characteristic
826	#387	C₂×D₇₉	1	1	yes	characteristic
827	#387	C₂×D₇₉	1	1	yes	characteristic
828	#385	—	79	1	no	—
829	#385	—	79	1	no	—
830	#385	—	79	1	no	—
831	#385	C₂×D₇₉	1	1	yes	characteristic
832	#383	—	79	1	no	—
833	#383	—	79	1	no	—
834	#383	—	79	1	no	—
835	#383	—	79	1	no	—
836	#382	—	79	1	no	—
837	#382	—	79	1	no	—
838	#382	—	79	1	no	—
839	#381	—	79	1	no	—
840	#381	C₂×D₇₉	1	1	yes	characteristic
841	C₄×C₂²⋊C₄	—	79	1	no	—
842	C₄×C₂²⋊C₄	—	79	1	no	—
843	C₄×C₂²⋊C₄	—	79	1	no	—
844	C₄×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
845	#376	—	79	1	no	—
846	#376	C₂×D₇₉	1	1	yes	characteristic
847	C₄³	—	79	1	no	—
848	C₂²×Q₈	—	79	1	no	—
849	C₂²×Q₈	—	79	1	no	—
850	C₂²×Q₈	—	79	1	no	—
851	C₂²×Q₈	—	79	1	no	—
852	C₂²×Q₈	—	79	1	no	—
853	C₂²×Q₈	—	79	1	no	—
854	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
855	C₂²×D₄	—	79	1	no	—
856	C₂³×C₄	—	79	1	no	—
857	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
858	C₄⋊Q₈	—	158	4	no	—
859	C₄⋊Q₈	—	158	4	no	—
860	#124	—	158	4	no	—
861	C₂²⋊Q₈	—	316	2	no	—
862	C₂²⋊Q₈	—	316	2	no	—
863	C₄×Q₈	—	316	2	no	—
864	C₄×Q₈	—	316	2	no	—
865	C₄×Q₈	—	316	2	no	—
866	C₄×D₄	—	316	2	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	—	79	1	no	—
893	C₂×C₄⋊C₄	—	79	1	no	—
894	C₂×C₄⋊C₄	—	79	1	no	—
895	C₂×C₄⋊C₄	—	79	1	no	—
896	C₂×C₄⋊C₄	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×C₂²⋊C₄	—	79	1	no	—
902	C₂×C₂²⋊C₄	—	79	1	no	—
903	C₂×C₂²⋊C₄	—	79	1	no	—
904	C₂×C₂²⋊C₄	—	79	1	no	—
905	C₂×C₂²⋊C₄	—	79	1	no	—
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	C₂²×D₇₉	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
927	C₂×C₄²	—	79	1	no	—
928	C₂×C₄²	—	79	1	no	—
929	C₂×C₄²	—	79	1	no	—
930	C₂×C₄²	—	79	1	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	—	79	1	no	—
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	#95	—	79	1	no	—
945	#95	—	79	1	no	—
946	#95	—	79	1	no	—
947	#95	—	79	1	no	—
948	#95	—	79	1	no	—
949	#95	—	79	1	no	—
950	#95	—	79	1	no	—
951	#95	—	79	1	no	—
952	#95	—	79	1	no	—
953	#95	—	79	1	no	—
954	#95	—	79	1	no	—
955	#95	—	79	1	no	—
956	#95	—	79	1	no	—
957	#95	—	79	1	no	—
958	#95	—	79	1	no	—
959	#95	—	79	1	no	—
960	#95	—	79	1	no	—
961	#95	—	79	1	no	—
962	#95	—	79	1	no	—
963	#95	—	79	1	no	—
964	#95	—	79	1	no	—
965	#95	—	79	1	no	—
966	#95	—	79	1	no	—
967	#95	—	79	1	no	—
968	#95	—	79	1	no	—
969	#95	—	79	1	no	—
970	#95	—	79	1	no	—
971	#95	—	79	1	no	—
972	#95	—	79	1	no	—
973	#95	—	79	1	no	—
974	#95	—	79	1	no	—
975	#95	—	79	1	no	—
976	#95	—	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	C₂²×D₇₉	1	1	yes	characteristic
995	#95	C₂²×D₇₉	1	1	yes	characteristic
996	#95	C₂²×D₇₉	1	1	yes	characteristic
997	#95	C₂²×D₇₉	1	1	yes	characteristic
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	#95	C₂²×D₇₉	1	1	yes	characteristic
1011	#95	C₂²×D₇₉	1	1	yes	characteristic
1012	C₂⁴	—	79	1	no	—
1013	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1014	C₂×Q₈	—	2	2	no	—
1015	C₂×Q₈	—	4	1	no	—
1016	C₂×Q₈	—	4	1	no	—
1017	C₂×Q₈	—	316	1	no	—
1018	C₂×Q₈	—	316	1	no	—
1019	C₂×Q₈	—	316	1	no	—
1020	C₂×Q₈	—	316	1	no	—
1021	C₂×Q₈	—	316	1	no	—
1022	C₂×Q₈	—	316	1	no	—
1023	C₂×Q₈	—	316	1	no	—
1024	C₂×Q₈	—	316	1	no	—
1025	C₂×Q₈	—	316	1	no	—
1026	C₂×Q₈	—	316	1	no	—
1027	C₂×Q₈	—	316	1	no	—
1028	C₂×Q₈	—	316	1	no	—
1029	C₂×Q₈	—	316	1	no	—
1030	C₂×Q₈	—	316	1	no	—
1031	C₂×Q₈	—	79	4	no	—
1032	C₂×Q₈	—	158	2	no	—
1033	C₂×Q₈	—	158	2	no	—
1034	C₂×Q₈	—	158	2	no	—
1035	C₂×D₄	—	316	1	no	—
1036	C₂×D₄	—	316	1	no	—
1037	C₂×D₄	—	158	2	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	4	1	no	—
1040	C₂²×C₄	—	4	1	no	—
1041	C₂²×C₄	—	316	1	no	—
1042	C₂²×C₄	—	316	1	no	—
1043	C₂²×C₄	—	79	1	no	—
1044	C₂²×C₄	—	79	1	no	—
1045	C₂²×C₄	—	79	1	no	—
1046	C₂²×C₄	—	79	1	no	—
1047	C₂²×C₄	—	79	1	no	—
1048	C₂²×C₄	—	79	1	no	—
1049	C₂²×C₄	—	79	1	no	—
1050	C₂²×C₄	—	79	1	no	—
1051	C₂²×C₄	—	79	1	no	—
1052	C₂²×C₄	—	79	1	no	—
1053	C₂²×C₄	—	79	1	no	—
1054	C₂²×C₄	—	79	1	no	—
1055	C₂²×C₄	—	79	1	no	—
1056	C₂²×C₄	—	79	1	no	—
1057	C₂²×C₄	—	79	1	no	—
1058	C₂²×C₄	—	158	2	no	—
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	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	316	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	—	158	2	no	—
1097	C₄⋊C₄	—	158	2	no	—
1098	C₄⋊C₄	—	158	2	no	—
1099	C₄⋊C₄	—	158	2	no	—
1100	C₄⋊C₄	—	158	2	no	—
1101	C₄⋊C₄	—	158	2	no	—
1102	C₄⋊C₄	—	158	2	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	C₂²⋊C₄	—	2	2	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	4	1	no	—
1110	C₂²⋊C₄	—	4	1	no	—
1111	C₂²⋊C₄	—	4	1	no	—
1112	C₂²⋊C₄	—	4	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	—	316	1	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	—	4	1	no	—
1136	C₄²	—	4	1	no	—
1137	C₄²	—	316	1	no	—
1138	C₄²	—	316	1	no	—
1139	C₄²	—	316	1	no	—
1140	C₄²	—	316	1	no	—
1141	C₄²	—	316	1	no	—
1142	C₄²	—	316	1	no	—
1143	C₄²	—	316	1	no	—
1144	C₄²	—	158	2	no	—
1145	C₄²	—	158	2	no	—
1146	C₄²	—	158	2	no	—
1147	C₄²	—	158	2	no	—
1148	C₄²	—	158	2	no	—
1149	C₄²	—	158	2	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	1	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	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	—	158	1	no	—
1163	C₂³	—	158	1	no	—
1164	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1165	Q₈	—	8	2	no	—
1166	Q₈	—	316	4	no	—
1167	Q₈	—	316	4	no	—
1168	Q₈	—	316	4	no	—
1169	Q₈	—	632	2	no	—
1170	Q₈	—	632	2	no	—
1171	Q₈	—	632	2	no	—
1172	D₄	—	316	4	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	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	8	2	no	—
1213	C₂×C₄	—	79	2	no	—
1214	C₂×C₄	—	79	2	no	—
1215	C₂×C₄	—	79	2	no	—
1216	C₂×C₄	—	632	2	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	—	158	1	no	—
1255	C₂×C₄	—	158	1	no	—
1256	C₂×C₄	—	158	1	no	—
1257	C₂×C₄	—	158	1	no	—
1258	C₂×C₄	—	158	1	no	—
1259	C₂×C₄	#41×D₇₉	1	2	yes	—
1260	C₂×C₄	#14579207	1	2	yes	—
1261	C₂×C₄	#14579208	1	2	yes	—
1262	C₂²	—	4	1	no	—
1263	C₂²	—	4	1	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	4	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	316	1	no	—
1270	C₂²	—	316	1	no	—
1271	C₂²	—	316	1	no	—
1272	C₂²	—	316	1	no	—
1273	C₂²	—	316	1	no	—
1274	C₂²	—	316	1	no	—
1275	C₂²	—	316	1	no	—
1276	C₂²	C₂×#41×D₇₉	1	1	yes	characteristic
1277	C₂²	C₂×#14579207	1	1	yes	characteristic
1278	C₂²	2₋¹⁺⁴×D₇₉	1	1	yes	characteristic
1279	C₂²	C₂×#14579208	1	1	yes	characteristic
1280	C₂²	#19099398	1	1	yes	characteristic
1281	C₂²	#19099399	1	1	yes	characteristic
1282	C₂²	#19099399	1	1	yes	characteristic
1283	C₄	—	2	2	no	—
1284	C₄	—	2	2	no	—
1285	C₄	—	2	2	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	—	4	1	no	—
1294	C₄	—	4	1	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	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	—	316	1	no	—
1307	C₄	—	316	1	no	—
1308	C₄	—	316	1	no	—
1309	C₄	—	158	2	no	—
1310	C₄	—	158	2	no	—
1311	C₄	—	158	2	no	—
1312	C₂	—	8	1	no	—
1313	C₂	—	632	1	no	—
1314	C₂	#23776810	1	1	yes	characteristic
1315	C₂	#23777413	1	1	yes	characteristic
1316	C₂	#23777415	1	1	yes	characteristic
1317	C₂	#23777756	1	1	yes	characteristic
1318	C₂	#23777813	1	1	yes	characteristic
1319	C₂	#23778011	1	1	yes	characteristic
1320	C₂	#23778016	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₉
commutator, socle, cosocle	C₂³×C₇₉	C₂⁵
Fitting	C₇₉×#2527	C₂
prime radical	C₂²×C₂²⋊D₇₉	C₂³
hypercenter	#2527	D₇₉
hypocenter	C₇₉	#37208
LCS	G ▷ C₂³×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ #2527

Complements

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

N	H ≅ G/N	type
1. #23771781	C₂	semidirect
2. #23771779	C₂	semidirect
3. #23771393	C₂	semidirect
6. #23771159	C₂	semidirect
7. #23771154	C₂	semidirect
8. #23770980	C₂	semidirect
9. #23770976	C₂	semidirect
10. #23770975	C₂	semidirect
11. #23770967	C₂	semidirect
12. #23770774	C₂	semidirect
13. #23770770	C₂	semidirect
14. #23770769	C₂	semidirect
15. #23770761	C₂	semidirect
16. #23770433	C₂	semidirect
21. #23768193	C₂	semidirect
22. #23768183	C₂	semidirect
23. #23768181	C₂	semidirect
24. #23767425	C₂	semidirect
25. #23767423	C₂	semidirect
26. #23767421	C₂	semidirect
27. #23767419	C₂	semidirect
28. #23766119	C₂	semidirect
29. #23766115	C₂	semidirect
31. C₇₉×#2527	C₂	semidirect
684. #2527	D₇₉	semidirect
692. C₇₉	#37208	semidirect

Maximal subgroups

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

subgroup	index
#23771781	2
#23771779	2
#23771393	2
#23771381	2
#23771374	2
#23771159	2
#23771154	2
#23770980	2
#23770976	2
#23770975	2
#23770967	2
#23770774	2
#23770770	2
#23770769	2
#23770761	2
#23770433	2
#23770411	2
#23770407	2
#23769321	2
#23769320	2
#23768193	2
#23768183	2
#23768181	2
#23767425	2
#23767423	2
#23767421	2
#23767419	2
#23766119	2
#23766115	2
C₄×#14579147	2
C₇₉×#2527	2
#37208	79