Subgroups — #34453525

Order 20224.

2244 conjugacy classes of subgroups.

The subgroup lattice has 1420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099226	C₂	1	1	yes	maximal, characteristic
2	#23766567	C₂	1	1	yes	maximal, characteristic, complemented
3	#23766566	C₂	1	1	yes	maximal, characteristic, complemented
4	#23766565	C₂	1	1	yes	maximal, characteristic, complemented
5	#23766564	C₂	1	1	yes	maximal, characteristic, complemented
6	#23766488	C₂	1	1	yes	maximal, characteristic, complemented
7	#23766487	C₂	1	1	yes	maximal, characteristic, complemented
8	#23766455	C₂	1	1	yes	maximal, characteristic, complemented
9	#23766430	C₂	1	1	yes	maximal, characteristic, complemented
10	#23766428	C₂	1	1	yes	maximal, characteristic, complemented
11	#23766374	C₂	1	1	yes	maximal, characteristic
12	#23766370	C₂	1	1	yes	maximal, characteristic
13	#23766354	C₂	1	1	yes	maximal, characteristic, complemented
14	#23766346	C₂	1	1	yes	maximal, characteristic
15	C₂²⋊C₄×Dic₁₅₈	C₂	1	1	yes	maximal, characteristic, complemented
16	#23766234	C₂	1	1	yes	maximal, characteristic, complemented
17	#23766157	C₂	1	1	yes	maximal, characteristic, complemented
18	#23766152	C₂	1	1	yes	maximal, characteristic, complemented
19	#23766151	C₂	1	1	yes	maximal, characteristic, complemented
20	#23766145	C₂	1	1	yes	maximal, characteristic, complemented
21	#23766143	C₂	1	1	yes	maximal, characteristic, complemented
22	#23766081	C₂	1	1	yes	maximal, characteristic, complemented
23	#23766075	C₂	1	1	yes	maximal, characteristic, complemented
24	#23766041	C₂	1	1	yes	maximal, characteristic
25	#23766040	C₂	1	1	yes	maximal, characteristic
26	#23765985	C₂	1	1	yes	maximal, characteristic, complemented
27	#23765983	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#14579160	C₂	1	1	yes	maximal, characteristic, complemented
29	#23765873	C₂	1	1	yes	maximal, characteristic, complemented
30	#23765860	C₂	1	1	yes	maximal, characteristic
31	C₇₉×#2332	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×Dic₁₅₈	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₇₉	C₂²	1	1	yes	characteristic
34	#19099226	C₄	1	16	yes	complemented
35	C₂×#14579160	C₂²	1	1	yes	characteristic
36	C₂×#14579160	C₂²	1	1	yes	characteristic
37	C₂×#14579159	C₂²	1	1	yes	characteristic
38	C₂×#14579141	C₂²	1	1	yes	characteristic
39	C₂×#14579139	C₂²	1	1	yes	characteristic
40	C₂×#14579139	C₂²	1	1	yes	characteristic
41	C₂×#14579138	C₂²	1	1	yes	characteristic
42	C₂×#14579138	C₂²	1	1	yes	characteristic
43	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
45	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
46	C₂×#14579126	C₂²	1	1	yes	characteristic
47	C₂×#14579126	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
49	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
50	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
51	C₂×#14579119	C₂²	1	1	yes	characteristic
52	C₂×#14579118	C₂²	1	1	yes	characteristic
53	C₂×#14579117	C₂²	1	1	yes	characteristic
54	C₂×#14579117	C₂²	1	1	yes	characteristic
55	#19098470	C₂²	1	1	yes	characteristic
56	#19098470	C₂²	1	1	yes	characteristic
57	#19098469	C₂²	1	1	yes	characteristic
58	#19098469	C₂²	1	1	yes	characteristic
59	#19098469	C₂²	1	1	yes	characteristic
60	#19098468	C₂²	1	1	yes	characteristic
61	#19098467	C₂²	1	1	yes	characteristic
62	#19098467	C₂²	1	1	yes	characteristic
63	#19098467	C₂²	1	1	yes	characteristic
64	#19098467	C₂²	1	1	yes	characteristic
65	#19098467	C₂²	1	1	yes	characteristic
66	#19098467	C₂²	1	1	yes	characteristic
67	#19098467	C₂²	1	1	yes	characteristic
68	#19098467	C₂²	1	1	yes	characteristic
69	#19098467	C₂²	1	1	yes	characteristic
70	#19098467	C₂²	1	1	yes	characteristic
71	#19098467	C₂²	1	1	yes	characteristic
72	#19098467	C₂²	1	1	yes	characteristic
73	#19098467	C₂²	1	1	yes	characteristic
74	#19098467	C₂²	1	1	yes	characteristic
75	#19098467	C₂²	1	1	yes	characteristic
76	#19098467	C₂²	1	1	yes	characteristic
77	#19098463	C₂²	1	1	yes	characteristic
78	#19098463	C₂²	1	1	yes	characteristic
79	#19098463	C₂²	1	1	yes	characteristic
80	#19098463	C₂²	1	1	yes	characteristic
81	#19098462	C₂²	1	1	yes	characteristic
82	#19098462	C₂²	1	1	yes	characteristic
83	#19098461	C₂²	1	1	yes	characteristic
84	#19098460	C₂²	1	1	yes	characteristic
85	#19098460	C₂²	1	1	yes	characteristic
86	#19098460	C₂²	1	1	yes	characteristic
87	#19098460	C₂²	1	1	yes	characteristic
88	#19098460	C₂²	1	1	yes	characteristic
89	#19098460	C₂²	1	1	yes	characteristic
90	#19098459	C₂²	1	1	yes	characteristic
91	#19098458	C₂²	1	1	yes	characteristic
92	#19098458	C₂²	1	1	yes	characteristic
93	#19098458	C₂²	1	1	yes	characteristic
94	#19098458	C₂²	1	1	yes	characteristic
95	#19098457	C₂²	1	1	yes	characteristic
96	#19098457	C₂²	1	1	yes	characteristic
97	#19098457	C₂²	1	1	yes	characteristic
98	#19098457	C₂²	1	1	yes	characteristic
99	#19098456	C₂²	1	1	yes	characteristic
100	#19098456	C₂²	1	1	yes	characteristic
101	#19098456	C₂²	1	1	yes	characteristic
102	#19098456	C₂²	1	1	yes	characteristic
103	#19098455	C₂²	1	1	yes	characteristic
104	#19098455	C₂²	1	1	yes	characteristic
105	#19098455	C₂²	1	1	yes	characteristic
106	#19098455	C₂²	1	1	yes	characteristic
107	#19098454	C₂²	1	1	yes	characteristic
108	#19098454	C₂²	1	1	yes	characteristic
109	#19098454	C₂²	1	1	yes	characteristic
110	#19098454	C₂²	1	1	yes	characteristic
111	#19098453	C₂²	1	1	yes	characteristic
112	#19098453	C₂²	1	1	yes	characteristic
113	#19098452	C₂²	1	1	yes	characteristic
114	#19098452	C₂²	1	1	yes	characteristic
115	#19098450	C₂²	1	1	yes	characteristic
116	#19098450	C₂²	1	1	yes	characteristic
117	#19098449	C₂²	1	1	yes	characteristic
118	#19098449	C₂²	1	1	yes	characteristic
119	#19098449	C₂²	1	1	yes	characteristic
120	#19098449	C₂²	1	1	yes	characteristic
121	#19098448	C₂²	1	1	yes	characteristic
122	#19098448	C₂²	1	1	yes	characteristic
123	#19098447	C₂²	1	1	yes	characteristic
124	#19098447	C₂²	1	1	yes	characteristic
125	#19098446	C₂²	1	1	yes	characteristic
126	#19098446	C₂²	1	1	yes	characteristic
127	#19098445	C₂²	1	1	yes	characteristic
128	#19098445	C₂²	1	1	yes	characteristic
129	#19098444	C₂²	1	1	yes	characteristic
130	#19098444	C₂²	1	1	yes	characteristic
131	#19098432	C₂²	1	1	yes	characteristic
132	#19098427	C₂²	1	1	yes	characteristic
133	#19098427	C₂²	1	1	yes	characteristic
134	#19098426	C₂²	1	1	yes	characteristic
135	#19098425	C₂²	1	1	yes	characteristic
136	#19098425	C₂²	1	1	yes	characteristic
137	#19098425	C₂²	1	1	yes	characteristic
138	#19098425	C₂²	1	1	yes	characteristic
139	#19098424	C₂²	1	1	yes	characteristic
140	#19098424	C₂²	1	1	yes	characteristic
141	#19098423	C₂²	1	1	yes	characteristic
142	#19098422	C₂²	1	1	yes	characteristic
143	#19098422	C₂²	1	1	yes	characteristic
144	#19098421	C₂²	1	1	yes	characteristic
145	#19098421	C₂²	1	1	yes	characteristic
146	#19098420	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×Dic₇₉	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×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
157	#19098414	C₂²	1	1	yes	characteristic
158	#19098414	C₂²	1	1	yes	characteristic
159	#19098414	C₂²	1	1	yes	characteristic
160	#19098414	C₂²	1	1	yes	characteristic
161	#19098414	C₂²	1	1	yes	characteristic
162	#19098414	C₂²	1	1	yes	characteristic
163	#19098414	C₂²	1	1	yes	characteristic
164	#19098414	C₂²	1	1	yes	characteristic
165	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
166	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
167	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
168	#19098410	C₂²	1	1	yes	characteristic
169	#19098410	C₂²	1	1	yes	characteristic
170	#19098408	C₂²	1	1	yes	characteristic
171	#19098408	C₂²	1	1	yes	characteristic
172	C₄²×Dic₇₉	C₂²	1	1	yes	characteristic
173	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
174	#391×C₇₉	C₂²	1	1	yes	characteristic
175	#391×C₇₉	C₂²	1	1	yes	characteristic
176	#388×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	#387×C₇₉	C₂²	1	1	yes	characteristic
181	#387×C₇₉	C₂²	1	1	yes	characteristic
182	#387×C₇₉	C₂²	1	1	yes	characteristic
183	#387×C₇₉	C₂²	1	1	yes	characteristic
184	#381×C₇₉	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
188	C₂²×Dic₁₅₈	—	4	2	no	—
189	C₂²×Dic₁₅₈	—	4	2	no	—
190	C₂²×Dic₁₅₈	C₂×C₄	1	8	yes	—
191	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
192	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
193	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
194	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
196	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
197	C₂×Q₈×D₇₉	—	4	2	no	—
198	C₂×Q₈×D₇₉	—	4	2	no	—
199	C₂×Q₈×D₇₉	C₂×C₄	1	8	yes	—
200	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
201	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
202	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
206	#14579160	C₂×C₄	1	8	yes	—
207	#14579160	C₂×C₄	1	8	yes	—
208	#14579159	C₂×C₄	1	8	yes	—
209	#14579141	C₂×C₄	1	8	yes	—
210	#14579139	C₂×C₄	1	8	yes	—
211	#14579139	C₂×C₄	1	8	yes	—
212	#14579138	C₂×C₄	1	8	yes	—
213	#14579138	C₂×C₄	1	8	yes	—
214	C₄×Dic₁₅₈	—	4	2	no	—
215	C₄×Dic₁₅₈	—	4	2	no	—
216	C₄×Dic₁₅₈	—	4	2	no	—
217	#14579126	—	4	2	no	—
218	#14579126	C₂×C₄	1	8	yes	—
219	C₄×C₂²⋊D₇₉	C₂×C₄	1	8	yes	—
220	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	8	yes	—
221	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	8	yes	—
222	#14579119	—	4	2	no	—
223	#14579118	—	4	2	no	—
224	#14579117	—	4	2	no	—
225	#14579117	—	4	2	no	—
226	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₇₉	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×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₇₉⋊C₄	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×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₇₉	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	C₇₉⋊#95	C₂³	1	1	yes	characteristic
320	C₇₉⋊#95	C₂³	1	1	yes	characteristic
321	C₇₉⋊#95	C₂³	1	1	yes	characteristic
322	C₇₉⋊#95	C₂³	1	1	yes	characteristic
323	C₇₉⋊#95	C₂³	1	1	yes	characteristic
324	C₇₉⋊#95	C₂³	1	1	yes	characteristic
325	C₇₉⋊#95	C₂³	1	1	yes	characteristic
326	C₇₉⋊#95	C₂³	1	1	yes	characteristic
327	C₇₉⋊#95	C₂³	1	1	yes	characteristic
328	C₇₉⋊#95	C₂³	1	1	yes	characteristic
329	C₇₉⋊#95	C₂³	1	1	yes	characteristic
330	C₇₉⋊#95	C₂³	1	1	yes	characteristic
331	C₇₉⋊#95	C₂³	1	1	yes	characteristic
332	C₇₉⋊#95	C₂³	1	1	yes	characteristic
333	C₇₉⋊#95	C₂³	1	1	yes	characteristic
334	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
335	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
336	C₂²⋊Q₈×C₇₉	C₂×C₄	1	8	yes	—
337	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊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×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
356	#95×C₇₉	C₂³	1	1	yes	characteristic
357	#95×C₇₉	C₂³	1	1	yes	characteristic
358	#95×C₇₉	C₂³	1	1	yes	characteristic
359	#95×C₇₉	C₂³	1	1	yes	characteristic
360	#95×C₇₉	C₂³	1	1	yes	characteristic
361	#95×C₇₉	C₂³	1	1	yes	characteristic
362	#95×C₇₉	C₂³	1	1	yes	characteristic
363	#95×C₇₉	C₂³	1	1	yes	characteristic
364	#95×C₇₉	C₂³	1	1	yes	characteristic
365	#95×C₇₉	C₂³	1	1	yes	characteristic
366	#95×C₇₉	C₂³	1	1	yes	characteristic
367	#95×C₇₉	C₂³	1	1	yes	characteristic
368	#95×C₇₉	C₂³	1	1	yes	characteristic
369	#95×C₇₉	C₂³	1	1	yes	characteristic
370	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
371	C₂×Dic₁₅₈	—	2	2	no	—
372	C₂×Dic₁₅₈	—	2	2	no	—
373	C₂×Dic₁₅₈	—	2	2	no	—
374	C₂×Dic₁₅₈	—	2	2	no	—
375	C₂×Dic₁₅₈	—	2	2	no	—
376	C₂×Dic₁₅₈	—	2	2	no	—
377	C₂×Dic₁₅₈	—	4	1	no	—
378	C₂×Dic₁₅₈	—	4	1	no	—
379	C₂×Dic₁₅₈	—	4	1	no	—
380	C₂×Dic₁₅₈	—	4	1	no	—
381	C₂×Dic₁₅₈	—	4	1	no	—
382	C₂×Dic₁₅₈	—	4	1	no	—
383	C₂×Dic₁₅₈	—	4	16	no	—
384	C₂×Dic₁₅₈	C₂²×C₄	1	4	yes	—
385	C₂×Dic₁₅₈	C₂²×C₄	1	4	yes	—
386	C₂×Dic₁₅₈	C₂²×C₄	1	4	yes	—
387	C₂×Dic₁₅₈	C₂²×C₄	1	4	yes	—
388	C₂×Dic₁₅₈	C₂²×C₄	1	4	yes	—
389	C₂×Dic₁₅₈	C₂²×C₄	1	4	yes	—
390	Q₈×D₇₉	—	4	16	no	—
391	C₂×C₂²⋊D₇₉	—	2	2	no	—
392	C₂×C₂²⋊D₇₉	—	2	2	no	—
393	C₂×C₂²⋊D₇₉	C₂²×C₄	1	4	yes	—
394	C₂²×Dic₇₉	—	2	2	no	—
395	C₂²×Dic₇₉	—	2	2	no	—
396	C₂²×Dic₇₉	—	4	1	no	—
397	C₂²×Dic₇₉	—	4	1	no	—
398	C₂²×Dic₇₉	C₂²×C₄	1	4	yes	—
399	C₂²×Dic₇₉	C₂²×C₄	1	4	yes	—
400	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
415	C₂×C₄×D₇₉	—	2	2	no	—
416	C₂×C₄×D₇₉	—	2	2	no	—
417	C₂×C₄×D₇₉	—	4	1	no	—
418	C₂×C₄×D₇₉	—	4	1	no	—
419	C₂×C₄×D₇₉	—	4	1	no	—
420	C₂×C₄×D₇₉	—	4	1	no	—
421	C₂×C₄×D₇₉	C₂²×C₄	1	4	yes	—
422	C₂×C₄×D₇₉	C₂²×C₄	1	4	yes	—
423	C₂×C₄×D₇₉	C₂²×C₄	1	4	yes	—
424	C₄⋊Dic₇₉	—	4	1	no	—
425	C₄⋊Dic₇₉	—	4	1	no	—
426	C₄⋊Dic₇₉	—	4	1	no	—
427	C₄⋊Dic₇₉	—	4	1	no	—
428	C₄⋊Dic₇₉	—	4	1	no	—
429	C₄⋊Dic₇₉	—	4	1	no	—
430	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
431	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
432	Dic₇₉⋊C₄	—	2	2	no	—
433	Dic₇₉⋊C₄	—	2	2	no	—
434	Dic₇₉⋊C₄	—	2	2	no	—
435	Dic₇₉⋊C₄	—	2	2	no	—
436	Dic₇₉⋊C₄	—	2	2	no	—
437	Dic₇₉⋊C₄	—	2	2	no	—
438	Dic₇₉⋊C₄	—	2	2	no	—
439	Dic₇₉⋊C₄	—	2	2	no	—
440	Dic₇₉⋊C₄	—	2	2	no	—
441	Dic₇₉⋊C₄	—	4	1	no	—
442	Dic₇₉⋊C₄	—	4	1	no	—
443	Dic₇₉⋊C₄	—	4	1	no	—
444	Dic₇₉⋊C₄	—	4	1	no	—
445	Dic₇₉⋊C₄	—	4	1	no	—
446	Dic₇₉⋊C₄	—	4	1	no	—
447	Dic₇₉⋊C₄	—	4	1	no	—
448	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
449	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
450	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
451	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
452	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
453	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
454	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
455	C₂²⋊Dic₇₉	—	4	1	no	—
456	C₂²⋊Dic₇₉	—	4	1	no	—
457	C₂²⋊Dic₇₉	—	4	1	no	—
458	C₂²⋊Dic₇₉	—	4	1	no	—
459	C₂²⋊Dic₇₉	C₂²×C₄	1	4	yes	—
460	(C₂×D₇₉)⋊C₄	—	2	2	no	—
461	(C₂×D₇₉)⋊C₄	—	4	1	no	—
462	(C₂×D₇₉)⋊C₄	—	4	1	no	—
463	(C₂×D₇₉)⋊C₄	—	4	1	no	—
464	(C₂×D₇₉)⋊C₄	—	4	1	no	—
465	(C₂×D₇₉)⋊C₄	—	4	1	no	—
466	(C₂×D₇₉)⋊C₄	—	4	1	no	—
467	(C₂×D₇₉)⋊C₄	—	4	1	no	—
468	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	4	yes	—
469	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	4	yes	—
470	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	4	yes	—
471	C₄×Dic₇₉	—	2	2	no	—
472	C₄×Dic₇₉	—	2	2	no	—
473	C₄×Dic₇₉	—	2	2	no	—
474	C₄×Dic₇₉	—	2	2	no	—
475	C₄×Dic₇₉	—	2	2	no	—
476	C₄×Dic₇₉	—	2	2	no	—
477	C₄×Dic₇₉	—	2	2	no	—
478	C₄×Dic₇₉	—	2	2	no	—
479	C₄×Dic₇₉	—	4	1	no	—
480	C₄×Dic₇₉	—	4	1	no	—
481	C₄×Dic₇₉	—	4	1	no	—
482	C₄×Dic₇₉	—	4	1	no	—
483	C₄×Dic₇₉	—	4	1	no	—
484	C₄×Dic₇₉	—	4	1	no	—
485	C₄×Dic₇₉	—	4	1	no	—
486	C₄×Dic₇₉	—	4	1	no	—
487	C₄×Dic₇₉	—	4	1	no	—
488	C₄×Dic₇₉	—	4	1	no	—
489	C₄×Dic₇₉	—	4	1	no	—
490	C₄×Dic₇₉	—	4	1	no	—
491	C₄×Dic₇₉	C₂²×C₄	1	4	yes	—
492	C₄×Dic₇₉	C₂²×C₄	1	4	yes	—
493	C₄×Dic₇₉	C₂²×C₄	1	4	yes	—
494	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₇₉	—	4	1	no	—
496	C₂×Q₈×C₇₉	—	4	1	no	—
497	C₂×Q₈×C₇₉	C₂²×C₄	1	4	yes	—
498	C₂²×C₄×C₇₉	—	4	1	no	—
499	C₂²×C₄×C₇₉	—	4	1	no	—
500	C₂²×C₄×C₇₉	C₂²×C₄	1	4	yes	—
501	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
515	C₄⋊C₄×C₇₉	—	2	2	no	—
516	C₄⋊C₄×C₇₉	—	4	1	no	—
517	C₄⋊C₄×C₇₉	—	4	1	no	—
518	C₄⋊C₄×C₇₉	—	4	1	no	—
519	C₄⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
520	C₄⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
521	C₄⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
522	C₂²⋊C₄×C₇₉	—	2	2	no	—
523	C₂²⋊C₄×C₇₉	—	4	1	no	—
524	C₂²⋊C₄×C₇₉	—	4	1	no	—
525	C₂²⋊C₄×C₇₉	—	4	1	no	—
526	C₂²⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
527	C₂²⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
528	C₄²×C₇₉	—	2	2	no	—
529	C₄²×C₇₉	—	4	1	no	—
530	C₄²×C₇₉	—	4	1	no	—
531	C₄²×C₇₉	—	4	1	no	—
532	C₄²×C₇₉	—	4	1	no	—
533	C₄²×C₇₉	—	4	1	no	—
534	C₂³×C₇₉	—	2	1	no	—
535	C₂³×C₇₉	—	2	1	no	—
536	C₂³×C₇₉	—	2	1	no	—
537	C₂³×C₇₉	—	2	1	no	—
538	C₂³×C₇₉	—	2	1	no	—
539	C₂³×C₇₉	—	2	1	no	—
540	C₂³×C₇₉	C₂³×C₄	1	2	yes	—
541	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
542	C₂²×D₇₉	—	2	1	no	—
543	C₂²×D₇₉	—	2	1	no	—
544	C₂²×D₇₉	—	2	1	no	—
545	C₂²×D₇₉	—	2	1	no	—
546	C₂²×D₇₉	—	2	1	no	—
547	C₂²×D₇₉	—	2	1	no	—
548	C₂²×D₇₉	C₂³×C₄	1	2	yes	—
549	Q₈×C₇₉	—	4	4	no	—
550	C₂×C₄×C₇₉	—	2	1	no	—
551	C₂×C₄×C₇₉	—	2	1	no	—
552	C₂×C₄×C₇₉	—	2	1	no	—
553	C₂×C₄×C₇₉	—	2	1	no	—
554	C₂×C₄×C₇₉	—	2	1	no	—
555	C₂×C₄×C₇₉	—	2	1	no	—
556	C₂×C₄×C₇₉	—	2	1	no	—
557	C₂×C₄×C₇₉	—	2	1	no	—
558	C₂×C₄×C₇₉	—	2	1	no	—
559	C₂×C₄×C₇₉	—	2	1	no	—
560	C₂×C₄×C₇₉	—	2	1	no	—
561	C₂×C₄×C₇₉	—	2	1	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	—	4	4	no	—
586	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
587	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
588	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
589	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
590	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
591	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
592	C₂×C₄×C₇₉	2₋¹⁺⁴	1	2	yes	—
593	C₂²⋊D₇₉	—	2	8	no	—
594	C₂×Dic₇₉	—	2	1	no	—
595	C₂×Dic₇₉	—	2	1	no	—
596	C₂×Dic₇₉	—	2	1	no	—
597	C₂×Dic₇₉	—	2	1	no	—
598	C₂×Dic₇₉	—	2	1	no	—
599	C₂×Dic₇₉	—	2	1	no	—
600	C₂×Dic₇₉	—	2	1	no	—
601	C₂×Dic₇₉	—	2	1	no	—
602	C₂×Dic₇₉	—	2	1	no	—
603	C₂×Dic₇₉	—	2	1	no	—
604	C₂×Dic₇₉	—	2	8	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	—	4	4	no	—
630	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
631	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
632	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
633	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
634	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
635	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
636	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
637	C₂×Dic₇₉	H(5,𝔽₂)	1	2	yes	—
638	C₂×Dic₇₉	H(5,𝔽₂)	1	2	yes	—
639	C₂×Dic₇₉	2₋¹⁺⁴	1	2	yes	—
640	C₂×Dic₇₉	2₋¹⁺⁴	1	2	yes	—
641	C₄×D₇₉	—	2	8	no	—
642	C₄×D₇₉	—	4	4	no	—
643	C₄×D₇₉	—	4	4	no	—
644	Dic₁₅₈	—	2	8	no	—
645	Dic₁₅₈	—	2	8	no	—
646	Dic₁₅₈	—	2	8	no	—
647	Dic₁₅₈	—	4	4	no	—
648	Dic₁₅₈	—	4	4	no	—
649	Dic₁₅₈	—	4	4	no	—
650	C₂²×C₇₉	—	2	2	no	—
651	C₂²×C₇₉	—	2	2	no	—
652	C₂²×C₇₉	—	2	2	no	—
653	C₂²×C₇₉	—	4	1	no	—
654	C₂²×C₇₉	—	4	1	no	—
655	C₂²×C₇₉	—	4	1	no	—
656	C₂²×C₇₉	—	4	1	no	—
657	C₂²×C₇₉	C₂⁴×C₄	1	1	yes	characteristic
658	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
659	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
660	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
661	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
662	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
663	C₂²×C₇₉	#585	1	1	yes	characteristic
664	C₂×D₇₉	—	2	2	no	—
665	C₂×D₇₉	—	2	2	no	—
666	C₂×D₇₉	—	2	2	no	—
667	C₂×D₇₉	—	4	1	no	—
668	C₂×D₇₉	—	4	1	no	—
669	C₂×D₇₉	—	4	1	no	—
670	C₂×D₇₉	—	4	1	no	—
671	C₄×C₇₉	—	2	2	no	—
672	C₄×C₇₉	—	2	2	no	—
673	C₄×C₇₉	—	2	2	no	—
674	C₄×C₇₉	—	2	2	no	—
675	C₄×C₇₉	—	2	2	no	—
676	C₄×C₇₉	—	2	2	no	—
677	C₄×C₇₉	—	2	2	no	—
678	C₄×C₇₉	—	4	1	no	—
679	C₄×C₇₉	—	4	1	no	—
680	C₄×C₇₉	—	4	1	no	—
681	C₄×C₇₉	—	4	1	no	—
682	C₄×C₇₉	—	4	1	no	—
683	C₄×C₇₉	—	4	1	no	—
684	C₄×C₇₉	—	4	1	no	—
685	Dic₇₉	—	2	2	no	—
686	Dic₇₉	—	2	2	no	—
687	Dic₇₉	—	2	2	no	—
688	Dic₇₉	—	2	2	no	—
689	Dic₇₉	—	2	2	no	—
690	Dic₇₉	—	4	1	no	—
691	Dic₇₉	—	4	1	no	—
692	Dic₇₉	—	4	1	no	—
693	Dic₇₉	—	4	1	no	—
694	Dic₇₉	—	4	1	no	—
695	Dic₇₉	—	4	1	no	—
696	Dic₇₉	—	4	1	no	—
697	Dic₇₉	—	4	1	no	—
698	Dic₇₉	#518	1	4	yes	—
699	Dic₇₉	#519	1	4	yes	—
700	#34487	—	79	1	no	maximal, Sylow
701	C₂×C₇₉	—	4	2	no	—
702	C₂×C₇₉	C₂×#518	1	1	yes	characteristic
703	C₂×C₇₉	C₂×#519	1	1	yes	characteristic
704	C₂×C₇₉	C₄×2₋¹⁺⁴	1	1	yes	characteristic
705	C₂×C₇₉	#3547	1	1	yes	characteristic
706	C₂×C₇₉	#3550	1	1	yes	characteristic
707	C₂×C₇₉	#3552	1	1	yes	characteristic
708	C₂×C₇₉	#3554	1	1	yes	characteristic
709	D₇₉	—	4	2	no	—
710	C₂×D₄×Q₈	—	79	1	no	—
711	#2378	—	79	1	no	—
712	#2378	—	79	1	no	—
713	#2378	—	79	1	no	—
714	#2378	—	79	1	no	—
715	#2369	—	79	1	no	—
716	#2369	—	79	1	no	—
717	#2365	—	79	1	no	—
718	#2362	—	79	1	no	—
719	#2362	—	79	1	no	—
720	#2357	—	79	1	no	—
721	#2357	—	79	1	no	—
722	#2355	—	79	1	no	—
723	#2354	—	79	1	no	—
724	Q₈×C₂²⋊C₄	—	79	1	no	—
725	Q₈×C₂²⋊C₄	—	79	1	no	—
726	#2332	—	79	1	no	—
727	#2332	—	79	1	no	—
728	#2332	—	79	1	no	—
729	#2332	D₇₉	1	1	yes	characteristic, complemented
730	#2331	—	79	1	no	—
731	#2331	—	79	1	no	—
732	#2323	—	79	1	no	—
733	#2323	—	79	1	no	—
734	#2319	—	79	1	no	—
735	#2319	—	79	1	no	—
736	#2310	—	79	1	no	—
737	#2310	—	79	1	no	—
738	C₄×C₄⋊Q₈	—	79	1	no	—
739	#2295	—	79	1	no	—
740	#2293	—	79	1	no	—
741	C₇₉	#34487	1	1	yes	characteristic, complemented, Sylow
742	C₂³×Q₈	—	79	1	no	—
743	C₂³×Q₈	—	79	1	no	—
744	D₄×Q₈	—	79	16	no	—
745	C₂×C₄⋊Q₈	—	79	1	no	—
746	C₂×C₄⋊Q₈	—	79	1	no	—
747	C₂×C₄⋊Q₈	—	79	1	no	—
748	C₂×C₂²⋊Q₈	—	79	1	no	—
749	C₂×C₂²⋊Q₈	—	79	1	no	—
750	C₂×C₂²⋊Q₈	—	79	1	no	—
751	C₂×C₂²⋊Q₈	—	79	1	no	—
752	C₂×C₂²⋊Q₈	—	79	1	no	—
753	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic
754	C₂×C₄×Q₈	—	79	1	no	—
755	C₂×C₄×Q₈	—	79	1	no	—
756	C₂×C₄×Q₈	—	79	1	no	—
757	C₂×C₄×Q₈	—	79	1	no	—
758	C₂×C₄×Q₈	—	79	1	no	—
759	C₂×C₄×D₄	—	79	1	no	—
760	C₂×C₄×D₄	—	79	1	no	—
761	C₂×C₄×D₄	—	79	1	no	—
762	C₂×#117	—	79	1	no	—
763	C₂×#117	—	79	1	no	—
764	C₂×#117	—	79	1	no	—
765	C₂×#117	—	79	1	no	—
766	#391	—	79	1	no	—
767	#391	—	79	1	no	—
768	#391	—	79	1	no	—
769	#391	—	79	1	no	—
770	#391	—	79	1	no	—
771	#391	—	79	1	no	—
772	#391	—	79	1	no	—
773	#391	—	79	1	no	—
774	#391	—	79	1	no	—
775	#391	—	79	1	no	—
776	#391	—	79	1	no	—
777	#391	—	79	1	no	—
778	#391	—	79	1	no	—
779	#391	—	79	1	no	—
780	#391	—	79	1	no	—
781	#391	—	79	1	no	—
782	#391	—	79	1	no	—
783	#391	—	79	1	no	—
784	#391	—	79	1	no	—
785	#391	—	79	1	no	—
786	#391	—	79	1	no	—
787	#391	—	79	1	no	—
788	#391	C₂×D₇₉	1	1	yes	characteristic
789	#391	C₂×D₇₉	1	1	yes	characteristic
790	#390	—	79	1	no	—
791	#390	—	79	1	no	—
792	#390	—	79	1	no	—
793	#390	—	79	1	no	—
794	#389	—	79	1	no	—
795	#389	—	79	1	no	—
796	#389	—	79	1	no	—
797	#389	—	79	1	no	—
798	#389	—	79	1	no	—
799	#389	—	79	1	no	—
800	#389	—	79	1	no	—
801	#389	—	79	1	no	—
802	#389	—	79	1	no	—
803	#389	—	79	1	no	—
804	#389	—	79	1	no	—
805	#389	—	79	1	no	—
806	#389	—	79	1	no	—
807	#389	—	79	1	no	—
808	#388	—	79	1	no	—
809	#388	—	79	1	no	—
810	#388	—	79	1	no	—
811	#388	—	79	1	no	—
812	#388	—	79	1	no	—
813	#388	—	79	1	no	—
814	#388	—	79	1	no	—
815	#388	—	79	1	no	—
816	#388	—	79	1	no	—
817	#388	—	79	1	no	—
818	#388	—	79	1	no	—
819	#388	—	79	1	no	—
820	#388	—	79	1	no	—
821	#388	—	79	1	no	—
822	#388	—	79	1	no	—
823	#388	—	79	1	no	—
824	#388	—	79	1	no	—
825	#388	—	79	1	no	—
826	#388	—	79	1	no	—
827	#388	—	79	1	no	—
828	#388	C₂×D₇₉	1	1	yes	characteristic
829	#388	C₂×D₇₉	1	1	yes	characteristic
830	#388	C₂×D₇₉	1	1	yes	characteristic
831	#388	C₂×D₇₉	1	1	yes	characteristic
832	#387	—	79	1	no	—
833	#387	—	79	1	no	—
834	#387	—	79	1	no	—
835	#387	—	79	1	no	—
836	#387	—	79	1	no	—
837	#387	—	79	1	no	—
838	#387	—	79	1	no	—
839	#387	—	79	1	no	—
840	#387	—	79	1	no	—
841	#387	—	79	1	no	—
842	#387	—	79	1	no	—
843	#387	—	79	1	no	—
844	#387	—	79	1	no	—
845	#387	—	79	1	no	—
846	#387	—	79	1	no	—
847	#387	—	79	1	no	—
848	#387	C₂×D₇₉	1	1	yes	characteristic
849	#387	C₂×D₇₉	1	1	yes	characteristic
850	#387	C₂×D₇₉	1	1	yes	characteristic
851	#387	C₂×D₇₉	1	1	yes	characteristic
852	#384	—	79	1	no	—
853	#382	—	79	1	no	—
854	#382	—	79	1	no	—
855	#381	—	79	1	no	—
856	#381	—	79	1	no	—
857	#381	—	79	1	no	—
858	#381	—	79	1	no	—
859	#381	—	79	1	no	—
860	#381	—	79	1	no	—
861	#381	—	79	1	no	—
862	#381	C₂×D₇₉	1	1	yes	characteristic
863	#380	—	79	1	no	—
864	#380	—	79	1	no	—
865	#380	—	79	1	no	—
866	#380	—	79	1	no	—
867	#380	—	79	1	no	—
868	#380	—	79	1	no	—
869	C₄×C₄⋊C₄	—	79	1	no	—
870	C₄×C₄⋊C₄	—	79	1	no	—
871	C₄×C₄⋊C₄	—	79	1	no	—
872	C₄×C₄⋊C₄	—	79	1	no	—
873	C₄×C₄⋊C₄	—	79	1	no	—
874	C₄×C₄⋊C₄	—	79	1	no	—
875	C₄×C₄⋊C₄	—	79	1	no	—
876	C₄×C₄⋊C₄	—	79	1	no	—
877	C₄×C₄⋊C₄	—	79	1	no	—
878	C₄×C₄⋊C₄	—	79	1	no	—
879	C₄×C₄⋊C₄	—	79	1	no	—
880	C₄×C₄⋊C₄	—	79	1	no	—
881	C₄×C₄⋊C₄	—	79	1	no	—
882	C₄×C₄⋊C₄	—	79	1	no	—
883	C₄×C₄⋊C₄	—	79	1	no	—
884	C₄×C₄⋊C₄	—	79	1	no	—
885	C₄×C₄⋊C₄	—	79	1	no	—
886	C₄×C₄⋊C₄	—	79	1	no	—
887	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
888	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
889	C₄×C₂²⋊C₄	—	79	1	no	—
890	C₄×C₂²⋊C₄	—	79	1	no	—
891	C₄×C₂²⋊C₄	—	79	1	no	—
892	C₄×C₂²⋊C₄	—	79	1	no	—
893	C₄×C₂²⋊C₄	—	79	1	no	—
894	C₄×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
895	#376	—	79	1	no	—
896	#376	—	79	1	no	—
897	C₄³	—	79	1	no	—
898	C₂²×Q₈	—	316	2	no	—
899	C₂²×Q₈	—	316	2	no	—
900	C₂²×Q₈	—	316	2	no	—
901	C₂²×Q₈	—	316	2	no	—
902	C₂²×Q₈	—	79	8	no	—
903	C₂²×Q₈	—	79	8	no	—
904	C₂²×Q₈	—	79	1	no	—
905	C₂²×Q₈	—	79	1	no	—
906	C₂²×Q₈	—	79	1	no	—
907	C₂²×Q₈	—	79	1	no	—
908	C₂²×Q₈	—	79	1	no	—
909	C₂²×Q₈	—	79	1	no	—
910	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
911	C₂²×D₄	—	79	1	no	—
912	C₂³×C₄	—	79	1	no	—
913	C₂³×C₄	—	79	1	no	—
914	C₂³×C₄	—	79	1	no	—
915	C₂³×C₄	—	79	1	no	—
916	C₂³×C₄	—	79	1	no	—
917	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
918	C₄⋊Q₈	—	79	8	no	—
919	C₄⋊Q₈	—	79	8	no	—
920	C₄⋊Q₈	—	79	8	no	—
921	C₂²⋊Q₈	—	79	8	no	—
922	C₂²⋊Q₈	—	79	8	no	—
923	C₂²⋊Q₈	—	79	8	no	—
924	C₂²⋊Q₈	—	79	8	no	—
925	C₂²⋊Q₈	—	79	8	no	—
926	C₂²⋊Q₈	C₄×D₇₉	1	8	yes	—
927	C₄×Q₈	—	316	2	no	—
928	C₄×Q₈	—	316	2	no	—
929	C₄×Q₈	—	316	2	no	—
930	C₄×Q₈	—	316	2	no	—
931	C₄×Q₈	—	79	8	no	—
932	C₄×D₄	—	79	8	no	—
933	C₄×D₄	—	79	8	no	—
934	C₄×D₄	—	79	8	no	—
935	#117	—	316	2	no	—
936	#117	—	316	2	no	—
937	#117	—	316	2	no	—
938	#117	—	316	2	no	—
939	C₂×C₄⋊C₄	—	79	1	no	—
940	C₂×C₄⋊C₄	—	79	1	no	—
941	C₂×C₄⋊C₄	—	79	1	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	C₂²×D₇₉	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	—	79	1	no	—
978	C₂×C₂²⋊C₄	—	79	1	no	—
979	C₂×C₂²⋊C₄	—	79	1	no	—
980	C₂×C₂²⋊C₄	—	79	1	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	C₂²×D₇₉	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
999	C₂×C₄²	—	79	1	no	—
1000	C₂×C₄²	—	79	1	no	—
1001	C₂×C₄²	—	79	1	no	—
1002	C₂×C₄²	—	79	1	no	—
1003	C₂×C₄²	—	79	1	no	—
1004	C₂×C₄²	—	79	1	no	—
1005	C₂×C₄²	—	79	1	no	—
1006	C₂×C₄²	—	79	1	no	—
1007	C₂×C₄²	—	79	1	no	—
1008	C₂×C₄²	—	79	1	no	—
1009	C₂×C₄²	—	79	1	no	—
1010	C₂×C₄²	—	79	1	no	—
1011	C₂×C₄²	—	79	1	no	—
1012	C₂×C₄²	—	79	1	no	—
1013	C₂×C₄²	—	79	1	no	—
1014	C₂×C₄²	—	79	1	no	—
1015	C₂×C₄²	—	79	1	no	—
1016	C₂×C₄²	—	79	1	no	—
1017	C₂×C₄²	—	79	1	no	—
1018	C₂×C₄²	—	79	1	no	—
1019	C₂×C₄²	—	79	1	no	—
1020	C₂×C₄²	—	79	1	no	—
1021	C₂×C₄²	—	79	1	no	—
1022	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1023	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1024	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1025	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1026	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1027	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1028	#95	—	79	1	no	—
1029	#95	—	79	1	no	—
1030	#95	—	79	1	no	—
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	C₂²×D₇₉	1	1	yes	characteristic
1067	#95	C₂²×D₇₉	1	1	yes	characteristic
1068	#95	C₂²×D₇₉	1	1	yes	characteristic
1069	#95	C₂²×D₇₉	1	1	yes	characteristic
1070	#95	C₂²×D₇₉	1	1	yes	characteristic
1071	#95	C₂²×D₇₉	1	1	yes	characteristic
1072	#95	C₂²×D₇₉	1	1	yes	characteristic
1073	#95	C₂²×D₇₉	1	1	yes	characteristic
1074	#95	C₂²×D₇₉	1	1	yes	characteristic
1075	#95	C₂²×D₇₉	1	1	yes	characteristic
1076	#95	C₂²×D₇₉	1	1	yes	characteristic
1077	#95	C₂²×D₇₉	1	1	yes	characteristic
1078	#95	C₂²×D₇₉	1	1	yes	characteristic
1079	#95	C₂²×D₇₉	1	1	yes	characteristic
1080	C₂⁴	—	79	1	no	—
1081	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1082	C₂×Q₈	—	4	1	no	—
1083	C₂×Q₈	—	4	1	no	—
1084	C₂×Q₈	—	316	1	no	—
1085	C₂×Q₈	—	316	1	no	—
1086	C₂×Q₈	—	316	1	no	—
1087	C₂×Q₈	—	316	1	no	—
1088	C₂×Q₈	—	316	1	no	—
1089	C₂×Q₈	—	316	1	no	—
1090	C₂×Q₈	—	316	16	no	—
1091	C₂×Q₈	—	316	16	no	—
1092	C₂×Q₈	—	79	4	no	—
1093	C₂×Q₈	—	79	4	no	—
1094	C₂×Q₈	—	79	4	no	—
1095	C₂×Q₈	—	79	4	no	—
1096	C₂×Q₈	—	79	4	no	—
1097	C₂×Q₈	—	79	4	no	—
1098	C₂×Q₈	—	158	2	no	—
1099	C₂×Q₈	—	158	2	no	—
1100	C₂×Q₈	—	158	2	no	—
1101	C₂×Q₈	—	158	2	no	—
1102	C₂×Q₈	—	158	2	no	—
1103	C₂×Q₈	—	158	2	no	—
1104	C₂×Q₈	C₂×C₄×D₇₉	1	4	yes	—
1105	C₂×D₄	—	79	4	no	—
1106	C₂×D₄	—	158	2	no	—
1107	C₂×D₄	—	158	2	no	—
1108	C₂²×C₄	—	4	1	no	—
1109	C₂²×C₄	—	4	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	—	79	4	no	—
1117	C₂²×C₄	—	79	4	no	—
1118	C₂²×C₄	—	79	4	no	—
1119	C₂²×C₄	—	79	1	no	—
1120	C₂²×C₄	—	79	1	no	—
1121	C₂²×C₄	—	79	1	no	—
1122	C₂²×C₄	—	79	1	no	—
1123	C₂²×C₄	—	79	1	no	—
1124	C₂²×C₄	—	79	1	no	—
1125	C₂²×C₄	—	79	1	no	—
1126	C₂²×C₄	—	79	4	no	—
1127	C₂²×C₄	—	79	4	no	—
1128	C₂²×C₄	—	79	1	no	—
1129	C₂²×C₄	—	79	1	no	—
1130	C₂²×C₄	—	79	1	no	—
1131	C₂²×C₄	—	79	1	no	—
1132	C₂²×C₄	—	79	1	no	—
1133	C₂²×C₄	—	79	1	no	—
1134	C₂²×C₄	—	79	1	no	—
1135	C₂²×C₄	—	79	1	no	—
1136	C₂²×C₄	—	158	2	no	—
1137	C₂²×C₄	—	158	2	no	—
1138	C₂²×C₄	—	158	2	no	—
1139	C₂²×C₄	—	158	2	no	—
1140	C₂²×C₄	C₂×C₄×D₇₉	1	4	yes	—
1141	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1155	C₄⋊C₄	—	2	2	no	—
1156	C₄⋊C₄	—	4	1	no	—
1157	C₄⋊C₄	—	4	1	no	—
1158	C₄⋊C₄	—	4	1	no	—
1159	C₄⋊C₄	—	316	1	no	—
1160	C₄⋊C₄	—	316	1	no	—
1161	C₄⋊C₄	—	316	1	no	—
1162	C₄⋊C₄	—	316	1	no	—
1163	C₄⋊C₄	—	316	1	no	—
1164	C₄⋊C₄	—	316	1	no	—
1165	C₄⋊C₄	—	316	1	no	—
1166	C₄⋊C₄	—	316	1	no	—
1167	C₄⋊C₄	—	316	1	no	—
1168	C₄⋊C₄	—	316	1	no	—
1169	C₄⋊C₄	—	316	1	no	—
1170	C₄⋊C₄	—	316	1	no	—
1171	C₄⋊C₄	—	316	1	no	—
1172	C₄⋊C₄	—	79	4	no	—
1173	C₄⋊C₄	—	79	4	no	—
1174	C₄⋊C₄	—	79	4	no	—
1175	C₄⋊C₄	—	79	4	no	—
1176	C₄⋊C₄	—	79	4	no	—
1177	C₄⋊C₄	—	79	4	no	—
1178	C₄⋊C₄	—	79	4	no	—
1179	C₄⋊C₄	—	79	4	no	—
1180	C₄⋊C₄	—	79	4	no	—
1181	C₄⋊C₄	—	158	2	no	—
1182	C₄⋊C₄	—	158	2	no	—
1183	C₄⋊C₄	—	158	2	no	—
1184	C₄⋊C₄	—	158	2	no	—
1185	C₄⋊C₄	—	158	2	no	—
1186	C₄⋊C₄	—	158	2	no	—
1187	C₄⋊C₄	—	158	2	no	—
1188	C₄⋊C₄	—	158	2	no	—
1189	C₄⋊C₄	—	158	2	no	—
1190	C₄⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1191	C₄⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1192	C₄⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1193	C₂²⋊C₄	—	2	2	no	—
1194	C₂²⋊C₄	—	4	1	no	—
1195	C₂²⋊C₄	—	4	1	no	—
1196	C₂²⋊C₄	—	4	1	no	—
1197	C₂²⋊C₄	—	316	1	no	—
1198	C₂²⋊C₄	—	316	1	no	—
1199	C₂²⋊C₄	—	316	1	no	—
1200	C₂²⋊C₄	—	316	1	no	—
1201	C₂²⋊C₄	—	316	1	no	—
1202	C₂²⋊C₄	—	316	1	no	—
1203	C₂²⋊C₄	—	316	1	no	—
1204	C₂²⋊C₄	—	316	1	no	—
1205	C₂²⋊C₄	—	316	1	no	—
1206	C₂²⋊C₄	—	316	1	no	—
1207	C₂²⋊C₄	—	316	1	no	—
1208	C₂²⋊C₄	—	79	4	no	—
1209	C₂²⋊C₄	—	79	4	no	—
1210	C₂²⋊C₄	—	79	4	no	—
1211	C₂²⋊C₄	—	79	4	no	—
1212	C₂²⋊C₄	—	158	2	no	—
1213	C₂²⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1214	C₂²⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1215	C₄²	—	2	2	no	—
1216	C₄²	—	4	1	no	—
1217	C₄²	—	4	1	no	—
1218	C₄²	—	4	1	no	—
1219	C₄²	—	4	1	no	—
1220	C₄²	—	4	1	no	—
1221	C₄²	—	316	1	no	—
1222	C₄²	—	316	1	no	—
1223	C₄²	—	316	1	no	—
1224	C₄²	—	316	1	no	—
1225	C₄²	—	316	1	no	—
1226	C₄²	—	316	1	no	—
1227	C₄²	—	316	1	no	—
1228	C₄²	—	316	1	no	—
1229	C₄²	—	316	1	no	—
1230	C₄²	—	316	1	no	—
1231	C₄²	—	316	1	no	—
1232	C₄²	—	316	1	no	—
1233	C₄²	—	79	4	no	—
1234	C₄²	—	79	4	no	—
1235	C₄²	—	79	4	no	—
1236	C₄²	—	158	2	no	—
1237	C₄²	—	158	2	no	—
1238	C₄²	—	158	2	no	—
1239	C₄²	—	158	2	no	—
1240	C₄²	—	158	2	no	—
1241	C₄²	—	158	2	no	—
1242	C₄²	—	158	2	no	—
1243	C₄²	—	158	2	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	79	2	no	—
1251	C₂³	—	158	1	no	—
1252	C₂³	—	158	1	no	—
1253	C₂³	—	158	1	no	—
1254	C₂³	—	158	1	no	—
1255	C₂³	—	158	1	no	—
1256	C₂³	—	158	1	no	—
1257	C₂³	C₂²×C₄×D₇₉	1	2	yes	—
1258	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1259	Q₈	—	4	4	no	—
1260	Q₈	—	316	4	no	—
1261	Q₈	—	316	4	no	—
1262	Q₈	—	316	4	no	—
1263	Q₈	—	158	8	no	—
1264	Q₈	—	158	8	no	—
1265	Q₈	—	158	8	no	—
1266	D₄	—	158	8	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	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	—	4	4	no	—
1303	C₂×C₄	—	316	4	no	—
1304	C₂×C₄	—	316	4	no	—
1305	C₂×C₄	—	316	4	no	—
1306	C₂×C₄	—	79	2	no	—
1307	C₂×C₄	—	79	2	no	—
1308	C₂×C₄	—	79	2	no	—
1309	C₂×C₄	—	79	2	no	—
1310	C₂×C₄	—	79	2	no	—
1311	C₂×C₄	—	79	2	no	—
1312	C₂×C₄	—	79	2	no	—
1313	C₂×C₄	—	79	2	no	—
1314	C₂×C₄	—	79	2	no	—
1315	C₂×C₄	—	79	2	no	—
1316	C₂×C₄	—	79	2	no	—
1317	C₂×C₄	—	158	8	no	—
1318	C₂×C₄	—	158	1	no	—
1319	C₂×C₄	—	158	1	no	—
1320	C₂×C₄	—	158	1	no	—
1321	C₂×C₄	—	158	1	no	—
1322	C₂×C₄	—	158	1	no	—
1323	C₂×C₄	—	158	1	no	—
1324	C₂×C₄	—	158	1	no	—
1325	C₂×C₄	—	158	1	no	—
1326	C₂×C₄	—	158	1	no	—
1327	C₂×C₄	—	158	1	no	—
1328	C₂×C₄	—	158	1	no	—
1329	C₂×C₄	—	158	1	no	—
1330	C₂×C₄	—	158	1	no	—
1331	C₂×C₄	—	158	1	no	—
1332	C₂×C₄	—	158	1	no	—
1333	C₂×C₄	—	158	1	no	—
1334	C₂×C₄	—	158	1	no	—
1335	C₂×C₄	—	158	1	no	—
1336	C₂×C₄	—	158	1	no	—
1337	C₂×C₄	—	158	1	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	8	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	C₂²×C₄×D₇₉	1	2	yes	—
1354	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1355	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1356	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1357	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1358	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1359	C₂×C₄	#14579208	1	2	yes	—
1360	C₂²	—	2	2	no	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	4	1	no	—
1364	C₂²	—	4	1	no	—
1365	C₂²	—	4	1	no	—
1366	C₂²	—	4	1	no	—
1367	C₂²	—	316	1	no	—
1368	C₂²	—	316	1	no	—
1369	C₂²	—	316	1	no	—
1370	C₂²	—	316	1	no	—
1371	C₂²	—	158	2	no	—
1372	C₂²	—	158	2	no	—
1373	C₂²	—	158	2	no	—
1374	C₂²	C₂³×C₄×D₇₉	1	1	yes	characteristic
1375	C₂²	H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1376	C₂²	H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1377	C₂²	2₋¹⁺⁴×D₇₉	1	1	yes	characteristic
1378	C₂²	2₋¹⁺⁴×D₇₉	1	1	yes	characteristic
1379	C₂²	C₂×#14579208	1	1	yes	characteristic
1380	C₂²	#19099399	1	1	yes	characteristic
1381	C₄	—	2	2	no	—
1382	C₄	—	2	2	no	—
1383	C₄	—	2	2	no	—
1384	C₄	—	2	2	no	—
1385	C₄	—	2	2	no	—
1386	C₄	—	2	2	no	—
1387	C₄	—	2	2	no	—
1388	C₄	—	4	1	no	—
1389	C₄	—	4	1	no	—
1390	C₄	—	4	1	no	—
1391	C₄	—	4	1	no	—
1392	C₄	—	4	1	no	—
1393	C₄	—	4	1	no	—
1394	C₄	—	4	1	no	—
1395	C₄	—	316	1	no	—
1396	C₄	—	316	1	no	—
1397	C₄	—	316	1	no	—
1398	C₄	—	316	1	no	—
1399	C₄	—	316	1	no	—
1400	C₄	—	316	1	no	—
1401	C₄	—	316	1	no	—
1402	C₄	—	316	1	no	—
1403	C₄	—	79	4	no	—
1404	C₄	—	79	4	no	—
1405	C₄	—	158	2	no	—
1406	C₄	—	158	2	no	—
1407	C₄	—	158	2	no	—
1408	C₄	—	158	2	no	—
1409	C₄	—	158	2	no	—
1410	C₂	—	4	2	no	—
1411	C₂	—	316	2	no	—
1412	C₂	#518×D₇₉	1	1	yes	characteristic
1413	C₂	#519×D₇₉	1	1	yes	characteristic
1414	C₂	C₄×#14579208	1	1	yes	characteristic
1415	C₂	#23777782	1	1	yes	characteristic
1416	C₂	#23777808	1	1	yes	characteristic
1417	C₂	#23777833	1	1	yes	characteristic
1418	C₂	#23777864	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₉
commutator	C₂²×C₇₉	C₂⁴×C₄
Fitting	C₇₉×#2332	C₂
socle, cosocle	C₂³×C₇₉	C₂⁵
prime radical	C₂²×C₂²⋊D₇₉	C₂³
hypercenter	#2332	D₇₉
hypocenter	C₇₉	#34487
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ #2332

Complements

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

N	H ≅ G/N	type
2. #23766567	C₂	semidirect
3. #23766566	C₂	semidirect
4. #23766565	C₂	semidirect
5. #23766564	C₂	semidirect
6. #23766488	C₂	semidirect
7. #23766487	C₂	semidirect
8. #23766455	C₂	semidirect
9. #23766430	C₂	semidirect
10. #23766428	C₂	semidirect
13. #23766354	C₂	semidirect
15. C₂²⋊C₄×Dic₁₅₈	C₂	semidirect
16. #23766234	C₂	semidirect
17. #23766157	C₂	semidirect
18. #23766152	C₂	semidirect
19. #23766151	C₂	semidirect
20. #23766145	C₂	semidirect
21. #23766143	C₂	semidirect
22. #23766081	C₂	semidirect
23. #23766075	C₂	semidirect
26. #23765985	C₂	semidirect
27. #23765983	C₂	semidirect
28. C₄×#14579160	C₂	semidirect
29. #23765873	C₂	semidirect
31. C₇₉×#2332	C₂	semidirect
34. #19099226	C₄	semidirect
729. #2332	D₇₉	semidirect
741. C₇₉	#34487	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19099226	2
#23766567	2
#23766566	2
#23766565	2
#23766564	2
#23766488	2
#23766487	2
#23766455	2
#23766430	2
#23766428	2
#23766374	2
#23766370	2
#23766354	2
#23766346	2
C₂²⋊C₄×Dic₁₅₈	2
#23766234	2
#23766157	2
#23766152	2
#23766151	2
#23766145	2
#23766143	2
#23766081	2
#23766075	2
#23766041	2
#23766040	2
#23765985	2
#23765983	2
C₄×#14579160	2
#23765873	2
#23765860	2
C₇₉×#2332	2
#34487	79