Subgroups — #34452676

Order 20224.

2066 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099157	C₂	1	1	yes	maximal, characteristic
2	#23766591	C₂	1	1	yes	maximal, characteristic, complemented
3	#23766560	C₂	1	1	yes	maximal, characteristic, complemented
4	#23766546	C₂	1	1	yes	maximal, characteristic, complemented
5	#23766536	C₂	1	1	yes	maximal, characteristic, complemented
6	#23766528	C₂	1	1	yes	maximal, characteristic, complemented
7	#23766526	C₂	1	1	yes	maximal, characteristic, complemented
8	#23766482	C₂	1	1	yes	maximal, characteristic, complemented
9	#23766430	C₂	1	1	yes	maximal, characteristic, complemented
10	#23766426	C₂	1	1	yes	maximal, characteristic, complemented
11	#23766395	C₂	1	1	yes	maximal, characteristic, complemented
12	#23766390	C₂	1	1	yes	maximal, characteristic, complemented
13	#23766348	C₂	1	1	yes	maximal, characteristic, complemented
14	#23766338	C₂	1	1	yes	maximal, characteristic, complemented
15	#23766279	C₂	1	1	yes	maximal, characteristic, complemented
16	#23766271	C₂	1	1	yes	maximal, characteristic, complemented
17	#23766202	C₂	1	1	yes	maximal, characteristic, complemented
18	#23766200	C₂	1	1	yes	maximal, characteristic, complemented
19	#23766186	C₂	1	1	yes	maximal, characteristic, complemented
20	#23766186	C₂	1	1	yes	maximal, characteristic, complemented
21	#23766170	C₂	1	1	yes	maximal, characteristic, complemented
22	#23766159	C₂	1	1	yes	maximal, characteristic
23	#23766138	C₂	1	1	yes	maximal, characteristic, complemented
24	#23766131	C₂	1	1	yes	maximal, characteristic, complemented
25	#23766090	C₂	1	1	yes	maximal, characteristic
26	#23766079	C₂	1	1	yes	maximal, characteristic, complemented
27	#23766030	C₂	1	1	yes	maximal, characteristic, complemented
28	#23765959	C₂	1	1	yes	maximal, characteristic, complemented
29	#23765954	C₂	1	1	yes	maximal, characteristic, complemented
30	#23765860	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₉×#2376	C₂	1	1	yes	maximal, characteristic, complemented
32	#19099157	C₄	1	16	yes	complemented
33	C₂×#14579156	C₂²	1	1	yes	characteristic
34	C₂×#14579154	C₂²	1	1	yes	characteristic
35	C₂×#14579152	C₂²	1	1	yes	characteristic
36	C₂×#14579151	C₂²	1	1	yes	characteristic
37	C₂×#14579145	C₂²	1	1	yes	characteristic
38	C₂×#14579144	C₂²	1	1	yes	characteristic
39	C₂×#14579143	C₂²	1	1	yes	characteristic
40	C₂×#14579141	C₂²	1	1	yes	characteristic
41	C₂×#14579138	C₂²	1	1	yes	characteristic
42	C₂×#14579138	C₂²	1	1	yes	characteristic
43	C₂×#14579133	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
45	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
47	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
48	C₂×#14579119	C₂²	1	1	yes	characteristic
49	C₂×#14579117	C₂²	1	1	yes	characteristic
50	C₂×#14579117	C₂²	1	1	yes	characteristic
51	C₂×#14579117	C₂²	1	1	yes	characteristic
52	C₂²×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
53	#19098468	C₂²	1	1	yes	characteristic
54	#19098467	C₂²	1	1	yes	characteristic
55	#19098467	C₂²	1	1	yes	characteristic
56	#19098466	C₂²	1	1	yes	characteristic
57	#19098463	C₂²	1	1	yes	characteristic
58	#19098463	C₂²	1	1	yes	characteristic
59	#19098463	C₂²	1	1	yes	characteristic
60	#19098461	C₂²	1	1	yes	characteristic
61	#19098460	C₂²	1	1	yes	characteristic
62	#19098460	C₂²	1	1	yes	characteristic
63	#19098459	C₂²	1	1	yes	characteristic
64	#19098459	C₂²	1	1	yes	characteristic
65	#19098459	C₂²	1	1	yes	characteristic
66	#19098459	C₂²	1	1	yes	characteristic
67	#19098458	C₂²	1	1	yes	characteristic
68	#19098458	C₂²	1	1	yes	characteristic
69	#19098458	C₂²	1	1	yes	characteristic
70	#19098458	C₂²	1	1	yes	characteristic
71	#19098458	C₂²	1	1	yes	characteristic
72	#19098457	C₂²	1	1	yes	characteristic
73	#19098457	C₂²	1	1	yes	characteristic
74	#19098457	C₂²	1	1	yes	characteristic
75	#19098456	C₂²	1	1	yes	characteristic
76	#19098456	C₂²	1	1	yes	characteristic
77	#19098456	C₂²	1	1	yes	characteristic
78	#19098456	C₂²	1	1	yes	characteristic
79	#19098454	C₂²	1	1	yes	characteristic
80	#19098453	C₂²	1	1	yes	characteristic
81	#19098453	C₂²	1	1	yes	characteristic
82	#19098453	C₂²	1	1	yes	characteristic
83	#19098452	C₂²	1	1	yes	characteristic
84	#19098452	C₂²	1	1	yes	characteristic
85	#19098452	C₂²	1	1	yes	characteristic
86	#19098452	C₂²	1	1	yes	characteristic
87	#19098451	C₂²	1	1	yes	characteristic
88	#19098451	C₂²	1	1	yes	characteristic
89	#19098451	C₂²	1	1	yes	characteristic
90	#19098451	C₂²	1	1	yes	characteristic
91	#19098451	C₂²	1	1	yes	characteristic
92	#19098450	C₂²	1	1	yes	characteristic
93	#19098450	C₂²	1	1	yes	characteristic
94	#19098449	C₂²	1	1	yes	characteristic
95	#19098449	C₂²	1	1	yes	characteristic
96	#19098448	C₂²	1	1	yes	characteristic
97	#19098448	C₂²	1	1	yes	characteristic
98	#19098448	C₂²	1	1	yes	characteristic
99	#19098448	C₂²	1	1	yes	characteristic
100	#19098448	C₂²	1	1	yes	characteristic
101	#19098448	C₂²	1	1	yes	characteristic
102	#19098447	C₂²	1	1	yes	characteristic
103	#19098447	C₂²	1	1	yes	characteristic
104	#19098447	C₂²	1	1	yes	characteristic
105	#19098446	C₂²	1	1	yes	characteristic
106	#19098446	C₂²	1	1	yes	characteristic
107	#19098446	C₂²	1	1	yes	characteristic
108	#19098446	C₂²	1	1	yes	characteristic
109	#19098446	C₂²	1	1	yes	characteristic
110	#19098446	C₂²	1	1	yes	characteristic
111	#19098445	C₂²	1	1	yes	characteristic
112	#19098445	C₂²	1	1	yes	characteristic
113	#19098445	C₂²	1	1	yes	characteristic
114	#19098445	C₂²	1	1	yes	characteristic
115	#19098444	C₂²	1	1	yes	characteristic
116	#19098444	C₂²	1	1	yes	characteristic
117	#19098444	C₂²	1	1	yes	characteristic
118	#19098443	C₂²	1	1	yes	characteristic
119	#19098440	C₂²	1	1	yes	characteristic
120	#19098439	C₂²	1	1	yes	characteristic
121	#19098439	C₂²	1	1	yes	characteristic
122	#19098439	C₂²	1	1	yes	characteristic
123	#19098437	C₂²	1	1	yes	characteristic
124	#19098437	C₂²	1	1	yes	characteristic
125	#19098436	C₂²	1	1	yes	characteristic
126	#19098434	C₂²	1	1	yes	characteristic
127	#19098434	C₂²	1	1	yes	characteristic
128	#19098434	C₂²	1	1	yes	characteristic
129	#19098432	C₂²	1	1	yes	characteristic
130	#19098430	C₂²	1	1	yes	characteristic
131	#19098430	C₂²	1	1	yes	characteristic
132	#19098428	C₂²	1	1	yes	characteristic
133	#19098424	C₂²	1	1	yes	characteristic
134	#19098424	C₂²	1	1	yes	characteristic
135	#19098421	C₂²	1	1	yes	characteristic
136	#19098421	C₂²	1	1	yes	characteristic
137	#19098421	C₂²	1	1	yes	characteristic
138	#19098421	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
147	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
148	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
149	C₄×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
150	#19098414	C₂²	1	1	yes	characteristic
151	#19098414	C₂²	1	1	yes	characteristic
152	#19098414	C₂²	1	1	yes	characteristic
153	#19098414	C₂²	1	1	yes	characteristic
154	#19098414	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₇₉	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×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
166	#19098410	C₂²	1	1	yes	characteristic
167	#19098410	C₂²	1	1	yes	characteristic
168	#19098410	C₂²	1	1	yes	characteristic
169	#19098408	C₂²	1	1	yes	characteristic
170	C₂×C₇₉⋊#95	C₂²	1	1	yes	characteristic
171	#95×D₇₉	C₂²	1	1	yes	characteristic
172	C₄²×Dic₇₉	C₂²	1	1	yes	characteristic
173	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic
174	#390×C₇₉	C₂²	1	1	yes	characteristic
175	#389×C₇₉	C₂²	1	1	yes	characteristic
176	#389×C₇₉	C₂²	1	1	yes	characteristic
177	#388×C₇₉	C₂²	1	1	yes	characteristic
178	#388×C₇₉	C₂²	1	1	yes	characteristic
179	#388×C₇₉	C₂²	1	1	yes	characteristic
180	#388×C₇₉	C₂²	1	1	yes	characteristic
181	#387×C₇₉	C₂²	1	1	yes	characteristic
182	#387×C₇₉	C₂²	1	1	yes	characteristic
183	#386×C₇₉	C₂²	1	1	yes	characteristic
184	#385×C₇₉	C₂²	1	1	yes	characteristic
185	#385×C₇₉	C₂²	1	1	yes	characteristic
186	#380×C₇₉	C₂²	1	1	yes	characteristic
187	#380×C₇₉	C₂²	1	1	yes	characteristic
188	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
192	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
193	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
198	#14579156	C₂×C₄	1	8	yes	complemented
199	#14579154	C₂×C₄	1	8	yes	complemented
200	#14579152	C₂×C₄	1	8	yes	complemented
201	#14579151	C₂×C₄	1	8	yes	complemented
202	#14579145	C₂×C₄	1	8	yes	—
203	#14579144	C₂×C₄	1	8	yes	complemented
204	#14579143	C₂×C₄	1	8	yes	—
205	#14579141	C₂×C₄	1	8	yes	complemented
206	#14579138	C₂×C₄	1	8	yes	complemented
207	#14579138	C₂×C₄	1	8	yes	complemented
208	#14579133	C₂×C₄	1	8	yes	—
209	C₄×Dic₁₅₈	—	4	2	no	—
210	D₄×Dic₇₉	C₂×C₄	1	8	yes	complemented
211	C₄×C₂²⋊D₇₉	—	4	2	no	—
212	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	8	yes	complemented
213	#14579119	—	4	2	no	—
214	#14579117	—	4	2	no	—
215	#14579117	—	4	2	no	—
216	#14579117	—	4	2	no	—
217	C₂×C₄⋊Dic₇₉	C₂×C₄	1	8	yes	complemented
218	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
227	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×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×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
280	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	C₇₉⋊#95	C₂³	1	1	yes	characteristic
291	C₇₉⋊#95	C₂³	1	1	yes	characteristic
292	C₇₉⋊#95	C₂³	1	1	yes	characteristic
293	C₇₉⋊#95	C₂³	1	1	yes	characteristic
294	C₇₉⋊#95	C₂³	1	1	yes	characteristic
295	C₇₉⋊#95	C₂³	1	1	yes	characteristic
296	C₇₉⋊#95	C₂³	1	1	yes	characteristic
297	C₇₉⋊#95	C₂³	1	1	yes	characteristic
298	C₇₉⋊#95	C₂³	1	1	yes	characteristic
299	C₇₉⋊#95	C₂³	1	1	yes	characteristic
300	C₇₉⋊#95	C₂³	1	1	yes	characteristic
301	C₇₉⋊#95	C₂³	1	1	yes	characteristic
302	C₇₉⋊#95	C₂³	1	1	yes	characteristic
303	C₇₉⋊#95	C₂³	1	1	yes	characteristic
304	C₇₉⋊#95	C₂³	1	1	yes	characteristic
305	C₇₉⋊#95	C₂³	1	1	yes	characteristic
306	C₇₉⋊#95	C₂³	1	1	yes	characteristic
307	C₇₉⋊#95	C₂³	1	1	yes	characteristic
308	C₇₉⋊#95	C₂³	1	1	yes	characteristic
309	C₇₉⋊#95	C₂³	1	1	yes	characteristic
310	C₇₉⋊#95	C₂³	1	1	yes	characteristic
311	C₇₉⋊#95	C₂³	1	1	yes	characteristic
312	C₇₉⋊#95	C₂³	1	1	yes	characteristic
313	C₇₉⋊#95	C₂³	1	1	yes	characteristic
314	C₇₉⋊#95	C₂³	1	1	yes	characteristic
315	C₇₉⋊#95	C₂³	1	1	yes	characteristic
316	C₇₉⋊#95	C₂³	1	1	yes	characteristic
317	C₇₉⋊#95	C₂³	1	1	yes	characteristic
318	C₇₉⋊#95	C₂³	1	1	yes	characteristic
319	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	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
331	#123×C₇₉	C₂×C₄	1	8	yes	complemented
332	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×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	#95×C₇₉	C₂³	1	1	yes	characteristic
355	#95×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	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
365	C₂×Dic₁₅₈	—	4	1	no	—
366	C₂×Dic₁₅₈	—	4	1	no	—
367	C₂×Dic₁₅₈	C₂²×C₄	1	4	yes	—
368	C₂×C₂²⋊D₇₉	—	4	1	no	—
369	C₂×C₂²⋊D₇₉	—	4	1	no	—
370	C₂×C₂²⋊D₇₉	—	4	1	no	—
371	C₂×C₂²⋊D₇₉	—	4	1	no	—
372	C₂×C₂²⋊D₇₉	C₂²×C₄	1	4	yes	—
373	C₂×C₂²⋊D₇₉	C₂²×C₄	1	4	yes	—
374	C₂²×Dic₇₉	—	2	2	no	—
375	C₂²×Dic₇₉	—	4	1	no	—
376	C₂²×Dic₇₉	—	4	1	no	—
377	C₂²×Dic₇₉	—	4	1	no	—
378	C₂²×Dic₇₉	—	4	1	no	—
379	C₂²×Dic₇₉	—	4	1	no	—
380	C₂²×Dic₇₉	—	4	1	no	—
381	C₂²×Dic₇₉	—	4	1	no	—
382	C₂²×Dic₇₉	—	4	1	no	—
383	C₂²×Dic₇₉	C₂²×C₄	1	4	yes	—
384	C₂²×Dic₇₉	C₂²×C₄	1	4	yes	—
385	C₂²×Dic₇₉	C₂²×C₄	1	4	yes	—
386	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×D₇₉	—	4	1	no	—
402	C₂×C₄×D₇₉	—	4	1	no	—
403	C₂×C₄×D₇₉	—	4	1	no	—
404	C₂×C₄×D₇₉	—	4	1	no	—
405	C₂×C₄×D₇₉	—	4	1	no	—
406	C₂×C₄×D₇₉	—	4	1	no	—
407	C₂×C₄×D₇₉	—	4	1	no	—
408	C₂×C₄×D₇₉	—	4	1	no	—
409	C₂×C₄×D₇₉	C₂²×C₄	1	4	yes	—
410	C₄⋊Dic₇₉	—	2	2	no	—
411	C₄⋊Dic₇₉	—	4	1	no	—
412	C₄⋊Dic₇₉	—	4	1	no	—
413	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
414	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
415	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
416	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
417	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
418	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
419	Dic₇₉⋊C₄	—	2	2	no	—
420	Dic₇₉⋊C₄	—	2	2	no	—
421	Dic₇₉⋊C₄	—	4	1	no	—
422	Dic₇₉⋊C₄	—	4	1	no	—
423	Dic₇₉⋊C₄	—	4	1	no	—
424	Dic₇₉⋊C₄	—	4	1	no	—
425	Dic₇₉⋊C₄	—	4	1	no	—
426	Dic₇₉⋊C₄	—	4	1	no	—
427	Dic₇₉⋊C₄	—	4	1	no	—
428	Dic₇₉⋊C₄	—	4	1	no	—
429	Dic₇₉⋊C₄	—	4	1	no	—
430	Dic₇₉⋊C₄	—	4	1	no	—
431	Dic₇₉⋊C₄	—	4	1	no	—
432	Dic₇₉⋊C₄	—	4	1	no	—
433	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
434	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
435	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
436	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
437	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
438	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
439	C₂²⋊Dic₇₉	—	2	2	no	—
440	C₂²⋊Dic₇₉	—	2	2	no	—
441	C₂²⋊Dic₇₉	—	2	2	no	—
442	C₂²⋊Dic₇₉	—	4	1	no	—
443	C₂²⋊Dic₇₉	—	4	1	no	—
444	C₂²⋊Dic₇₉	—	4	1	no	—
445	C₂²⋊Dic₇₉	—	4	1	no	—
446	C₂²⋊Dic₇₉	C₂²×C₄	1	4	yes	—
447	C₂²⋊Dic₇₉	C₂²×C₄	1	4	yes	—
448	C₂²⋊Dic₇₉	C₂²×C₄	1	4	yes	—
449	(C₂×D₇₉)⋊C₄	—	2	2	no	—
450	(C₂×D₇₉)⋊C₄	—	2	2	no	—
451	(C₂×D₇₉)⋊C₄	—	4	1	no	—
452	(C₂×D₇₉)⋊C₄	—	4	1	no	—
453	(C₂×D₇₉)⋊C₄	—	4	1	no	—
454	(C₂×D₇₉)⋊C₄	—	4	1	no	—
455	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	4	yes	—
456	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	4	yes	—
457	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	4	yes	—
458	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	4	yes	—
459	C₄×Dic₇₉	—	2	2	no	—
460	C₄×Dic₇₉	—	2	2	no	—
461	C₄×Dic₇₉	—	2	2	no	—
462	C₄×Dic₇₉	—	2	2	no	—
463	C₄×Dic₇₉	—	2	2	no	—
464	C₄×Dic₇₉	—	4	1	no	—
465	C₄×Dic₇₉	—	4	1	no	—
466	C₄×Dic₇₉	—	4	1	no	—
467	C₄×Dic₇₉	—	4	1	no	—
468	C₄×Dic₇₉	—	4	1	no	—
469	C₄×Dic₇₉	—	4	1	no	—
470	C₄×Dic₇₉	—	4	1	no	—
471	C₄×Dic₇₉	—	4	1	no	—
472	C₄×Dic₇₉	—	4	1	no	—
473	C₄×Dic₇₉	—	4	1	no	—
474	C₄×Dic₇₉	—	4	1	no	—
475	C₄×Dic₇₉	—	4	1	no	—
476	C₄×Dic₇₉	—	4	1	no	—
477	C₄×Dic₇₉	—	4	1	no	—
478	C₄×Dic₇₉	—	4	1	no	—
479	C₄×Dic₇₉	—	4	1	no	—
480	C₄×Dic₇₉	C₂²×C₄	1	4	yes	—
481	C₄×Dic₇₉	C₂²×C₄	1	4	yes	—
482	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
483	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
484	C₂×D₄×C₇₉	—	4	1	no	—
485	C₂×D₄×C₇₉	—	4	1	no	—
486	C₂×D₄×C₇₉	C₂²×C₄	1	4	yes	—
487	C₂²×C₄×C₇₉	—	4	1	no	—
488	C₂²×C₄×C₇₉	—	4	1	no	—
489	C₂²×C₄×C₇₉	—	4	1	no	—
490	C₂²×C₄×C₇₉	—	4	1	no	—
491	C₂²×C₄×C₇₉	—	4	1	no	—
492	C₂²×C₄×C₇₉	C₂²×C₄	1	4	yes	—
493	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
501	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	C₄⋊C₄×C₇₉	—	4	1	no	—
507	C₄⋊C₄×C₇₉	—	4	1	no	—
508	C₄⋊C₄×C₇₉	—	4	1	no	—
509	C₄⋊C₄×C₇₉	—	4	1	no	—
510	C₄⋊C₄×C₇₉	—	4	1	no	—
511	C₄⋊C₄×C₇₉	—	4	1	no	—
512	C₄⋊C₄×C₇₉	—	4	1	no	—
513	C₄⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
514	C₄⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
515	C₂²⋊C₄×C₇₉	—	4	1	no	—
516	C₂²⋊C₄×C₇₉	—	4	1	no	—
517	C₂²⋊C₄×C₇₉	—	4	1	no	—
518	C₂²⋊C₄×C₇₉	—	4	1	no	—
519	C₂²⋊C₄×C₇₉	—	4	1	no	—
520	C₂²⋊C₄×C₇₉	—	4	1	no	—
521	C₂²⋊C₄×C₇₉	—	4	1	no	—
522	C₂²⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
523	C₂²⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
524	C₂²⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
525	C₄²×C₇₉	—	4	1	no	—
526	C₄²×C₇₉	—	4	1	no	—
527	C₄²×C₇₉	—	4	1	no	—
528	C₂³×C₇₉	—	2	1	no	—
529	C₂³×C₇₉	—	2	1	no	—
530	C₂³×C₇₉	—	2	1	no	—
531	C₂³×C₇₉	—	2	1	no	—
532	C₂³×C₇₉	—	2	1	no	—
533	C₂³×C₇₉	—	2	1	no	—
534	C₂³×C₇₉	—	2	1	no	—
535	C₂³×C₇₉	—	2	1	no	—
536	C₂³×C₇₉	—	2	1	no	—
537	C₂³×C₇₉	—	2	1	no	—
538	C₂³×C₇₉	—	2	1	no	—
539	C₂³×C₇₉	—	2	1	no	—
540	C₂³×C₇₉	C₂³×C₄	1	2	yes	—
541	C₂³×C₇₉	C₂³×C₄	1	2	yes	—
542	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
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	—	2	1	no	—
549	C₂²×D₇₉	C₂³×C₄	1	2	yes	—
550	D₄×C₇₉	—	4	4	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	—	8	2	no	—
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	C₂²⋊D₇₉	—	4	4	no	—
593	C₂²⋊D₇₉	—	4	4	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	1	no	—
605	C₂×Dic₇₉	—	2	1	no	—
606	C₂×Dic₇₉	—	2	1	no	—
607	C₂×Dic₇₉	—	2	1	no	—
608	C₂×Dic₇₉	—	2	1	no	—
609	C₂×Dic₇₉	—	2	1	no	—
610	C₂×Dic₇₉	—	2	1	no	—
611	C₂×Dic₇₉	—	2	1	no	—
612	C₂×Dic₇₉	—	2	1	no	—
613	C₂×Dic₇₉	—	2	1	no	—
614	C₂×Dic₇₉	—	2	1	no	—
615	C₂×Dic₇₉	—	2	1	no	—
616	C₂×Dic₇₉	—	2	1	no	—
617	C₂×Dic₇₉	—	2	1	no	—
618	C₂×Dic₇₉	—	2	1	no	—
619	C₂×Dic₇₉	—	2	1	no	—
620	C₂×Dic₇₉	—	2	1	no	—
621	C₂×Dic₇₉	—	2	1	no	—
622	C₂×Dic₇₉	—	2	1	no	—
623	C₂×Dic₇₉	—	2	1	no	—
624	C₂×Dic₇₉	—	2	1	no	—
625	C₂×Dic₇₉	—	2	1	no	—
626	C₂×Dic₇₉	—	2	1	no	—
627	C₂×Dic₇₉	—	2	1	no	—
628	C₂×Dic₇₉	—	2	1	no	—
629	C₂×Dic₇₉	—	2	1	no	—
630	C₂×Dic₇₉	—	4	4	no	—
631	C₂×Dic₇₉	—	4	4	no	—
632	C₂×Dic₇₉	—	4	4	no	—
633	C₂×Dic₇₉	—	8	2	no	—
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	C₂³×C₄	1	2	yes	—
638	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
639	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
640	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
641	C₂×Dic₇₉	H(5,𝔽₂)	1	2	yes	—
642	C₂×Dic₇₉	2₋¹⁺⁴	1	2	yes	—
643	C₄×D₇₉	—	4	4	no	—
644	C₄×D₇₉	—	8	2	no	—
645	C₄×D₇₉	—	8	2	no	—
646	Dic₁₅₈	—	4	4	no	—
647	C₂²×C₇₉	—	2	2	no	—
648	C₂²×C₇₉	—	2	2	no	—
649	C₂²×C₇₉	—	2	2	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	—	4	1	no	—
658	C₂²×C₇₉	—	4	1	no	—
659	C₂²×C₇₉	—	4	1	no	—
660	C₂²×C₇₉	—	4	1	no	—
661	C₂²×C₇₉	C₂⁴×C₄	1	1	yes	characteristic
662	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
663	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
664	C₂²×C₇₉	#585	1	1	yes	characteristic
665	C₂²×C₇₉	#585	1	1	yes	characteristic
666	C₂²×C₇₉	#585	1	1	yes	characteristic
667	C₂²×C₇₉	#585	1	1	yes	characteristic
668	C₂×D₇₉	—	2	2	no	—
669	C₂×D₇₉	—	2	2	no	—
670	C₂×D₇₉	—	2	2	no	—
671	C₂×D₇₉	—	4	1	no	—
672	C₂×D₇₉	—	4	1	no	—
673	C₂×D₇₉	—	4	1	no	—
674	C₂×D₇₉	—	4	1	no	—
675	C₄×C₇₉	—	2	2	no	—
676	C₄×C₇₉	—	2	2	no	—
677	C₄×C₇₉	—	2	2	no	—
678	C₄×C₇₉	—	2	2	no	—
679	C₄×C₇₉	—	2	2	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	C₄×C₇₉	—	4	1	no	—
686	C₄×C₇₉	—	4	1	no	—
687	C₄×C₇₉	—	4	1	no	—
688	Dic₇₉	—	2	2	no	—
689	Dic₇₉	—	2	2	no	—
690	Dic₇₉	—	2	2	no	—
691	Dic₇₉	—	2	2	no	—
692	Dic₇₉	—	2	2	no	—
693	Dic₇₉	—	2	2	no	—
694	Dic₇₉	—	2	2	no	—
695	Dic₇₉	—	2	2	no	—
696	Dic₇₉	—	2	2	no	—
697	Dic₇₉	—	4	1	no	—
698	Dic₇₉	—	4	1	no	—
699	Dic₇₉	—	4	1	no	—
700	Dic₇₉	—	4	1	no	—
701	Dic₇₉	—	4	1	no	—
702	Dic₇₉	—	4	1	no	—
703	#34452	—	79	1	no	maximal, Sylow
704	C₂×C₇₉	—	4	2	no	—
705	C₂×C₇₉	—	4	2	no	—
706	C₂×C₇₉	#3428	1	1	yes	characteristic
707	C₂×C₇₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
708	C₂×C₇₉	C₄×2₋¹⁺⁴	1	1	yes	characteristic
709	C₂×C₇₉	#3559	1	1	yes	characteristic
710	C₂×C₇₉	#3562	1	1	yes	characteristic
711	C₂×C₇₉	#3564	1	1	yes	characteristic
712	C₂×C₇₉	#3566	1	1	yes	characteristic
713	D₇₉	—	4	2	no	—
714	C₂×#539	—	79	1	no	—
715	#2383	—	79	1	no	—
716	#2378	—	79	1	no	—
717	#2376	—	79	1	no	—
718	#2376	D₇₉	1	1	yes	characteristic, complemented
719	#2374	—	79	1	no	—
720	#2374	—	79	1	no	—
721	#2373	—	79	1	no	—
722	#2368	—	79	1	no	—
723	#2362	—	79	1	no	—
724	#2362	—	79	1	no	—
725	#2359	—	79	1	no	—
726	#2359	—	79	1	no	—
727	#2354	—	79	1	no	—
728	#2353	—	79	1	no	—
729	#2345	—	79	1	no	—
730	#2344	—	79	1	no	—
731	#2336	—	79	1	no	—
732	#2336	—	79	1	no	—
733	#2335	—	79	1	no	—
734	#2335	—	79	1	no	—
735	#2334	—	79	1	no	—
736	#2333	—	79	1	no	—
737	#2330	—	79	1	no	—
738	#2329	—	79	1	no	—
739	#2324	—	79	1	no	—
740	#2323	—	79	1	no	—
741	#2318	—	79	1	no	—
742	C₄×#125	—	79	1	no	—
743	C₄×#126	—	79	1	no	—
744	#2293	—	79	1	no	—
745	C₇₉	#34452	1	1	yes	characteristic, complemented, Sylow
746	#539	—	79	16	no	—
747	C₂×#126	—	79	1	no	—
748	C₂×#126	—	79	1	no	—
749	C₂×#125	—	79	1	no	—
750	C₂×#125	—	79	1	no	—
751	C₂×#123	—	79	1	no	—
752	C₂×#123	—	79	1	no	—
753	C₂×#123	—	79	1	no	—
754	C₂×#123	C₂×D₇₉	1	1	yes	characteristic
755	C₂×C₂²⋊Q₈	—	79	1	no	—
756	C₂×C₂²⋊Q₈	—	79	1	no	—
757	C₂×C₂²⋊Q₈	—	79	1	no	—
758	C₂×#121	—	79	1	no	—
759	C₂×C₄×Q₈	—	79	1	no	—
760	C₂×C₄×D₄	—	79	1	no	—
761	C₂×C₄×D₄	—	79	1	no	—
762	C₂×C₄×D₄	—	79	1	no	—
763	C₂×#117	—	79	1	no	—
764	C₂×#117	—	79	1	no	—
765	C₂×#117	—	79	1	no	—
766	C₂×#117	—	79	1	no	—
767	C₂²×C₄⋊C₄	—	79	1	no	—
768	#391	—	79	1	no	—
769	#391	—	79	1	no	—
770	#391	—	79	1	no	—
771	#390	—	79	1	no	—
772	#390	—	79	1	no	—
773	#390	—	79	1	no	—
774	#390	—	79	1	no	—
775	#390	C₂×D₇₉	1	1	yes	characteristic
776	#389	—	79	1	no	—
777	#389	—	79	1	no	—
778	#389	—	79	1	no	—
779	#389	—	79	1	no	—
780	#389	—	79	1	no	—
781	#389	—	79	1	no	—
782	#389	—	79	1	no	—
783	#389	—	79	1	no	—
784	#389	—	79	1	no	—
785	#389	—	79	1	no	—
786	#389	—	79	1	no	—
787	#389	—	79	1	no	—
788	#389	C₂×D₇₉	1	1	yes	characteristic
789	#389	C₂×D₇₉	1	1	yes	characteristic
790	#388	—	79	1	no	—
791	#388	—	79	1	no	—
792	#388	—	79	1	no	—
793	#388	—	79	1	no	—
794	#388	—	79	1	no	—
795	#388	—	79	1	no	—
796	#388	—	79	1	no	—
797	#388	—	79	1	no	—
798	#388	—	79	1	no	—
799	#388	—	79	1	no	—
800	#388	—	79	1	no	—
801	#388	—	79	1	no	—
802	#388	—	79	1	no	—
803	#388	—	79	1	no	—
804	#388	—	79	1	no	—
805	#388	—	79	1	no	—
806	#388	—	79	1	no	—
807	#388	—	79	1	no	—
808	#388	—	79	1	no	—
809	#388	—	79	1	no	—
810	#388	C₂×D₇₉	1	1	yes	characteristic
811	#388	C₂×D₇₉	1	1	yes	characteristic
812	#388	C₂×D₇₉	1	1	yes	characteristic
813	#388	C₂×D₇₉	1	1	yes	characteristic
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	—	79	1	no	—
826	#387	—	79	1	no	—
827	#387	—	79	1	no	—
828	#387	—	79	1	no	—
829	#387	—	79	1	no	—
830	#387	—	79	1	no	—
831	#387	—	79	1	no	—
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	C₂×D₇₉	1	1	yes	characteristic
841	#387	C₂×D₇₉	1	1	yes	characteristic
842	#386	—	79	1	no	—
843	#386	—	79	1	no	—
844	#386	—	79	1	no	—
845	#386	—	79	1	no	—
846	#386	—	79	1	no	—
847	#386	C₂×D₇₉	1	1	yes	characteristic
848	#385	—	79	1	no	—
849	#385	—	79	1	no	—
850	#385	—	79	1	no	—
851	#385	—	79	1	no	—
852	#385	—	79	1	no	—
853	#385	—	79	1	no	—
854	#385	C₂×D₇₉	1	1	yes	characteristic
855	#385	C₂×D₇₉	1	1	yes	characteristic
856	#384	—	79	1	no	—
857	#383	—	79	1	no	—
858	#383	—	79	1	no	—
859	#382	—	79	1	no	—
860	#381	—	79	1	no	—
861	#381	—	79	1	no	—
862	#380	—	79	1	no	—
863	#380	—	79	1	no	—
864	#380	—	79	1	no	—
865	#380	—	79	1	no	—
866	#380	C₂×D₇₉	1	1	yes	characteristic
867	#380	C₂×D₇₉	1	1	yes	characteristic
868	C₄×C₄⋊C₄	—	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×C₂²⋊C₄	—	79	1	no	—
885	C₄×C₂²⋊C₄	—	79	1	no	—
886	C₄×C₂²⋊C₄	—	79	1	no	—
887	C₄×C₂²⋊C₄	—	79	1	no	—
888	C₄×C₂²⋊C₄	—	79	1	no	—
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	—	79	1	no	—
895	C₄×C₂²⋊C₄	—	79	1	no	—
896	C₄×C₂²⋊C₄	—	79	1	no	—
897	C₄×C₂²⋊C₄	—	79	1	no	—
898	#376	—	79	1	no	—
899	C₂×#95	—	79	1	no	—
900	C₂×#95	—	79	1	no	—
901	C₄³	—	79	1	no	—
902	C₂²×Q₈	—	79	1	no	—
903	C₂²×D₄	—	79	1	no	—
904	C₂²×D₄	—	79	1	no	—
905	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
906	C₂³×C₄	—	79	1	no	—
907	C₂³×C₄	—	79	1	no	—
908	C₂³×C₄	—	79	1	no	—
909	C₂³×C₄	—	79	1	no	—
910	C₂³×C₄	—	79	1	no	—
911	C₂³×C₄	—	79	1	no	—
912	C₂³×C₄	—	79	1	no	—
913	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
914	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
915	#126	—	79	8	no	—
916	#126	—	79	8	no	—
917	#125	—	79	8	no	—
918	#125	—	79	8	no	—
919	#123	—	79	8	no	—
920	#123	—	79	8	no	—
921	#123	—	79	8	no	—
922	#123	C₄×D₇₉	1	8	yes	complemented
923	C₂²⋊Q₈	—	79	8	no	—
924	C₂²⋊Q₈	—	79	8	no	—
925	C₂²⋊Q₈	—	79	8	no	—
926	#121	—	79	8	no	—
927	C₄×Q₈	—	316	2	no	—
928	C₄×D₄	—	316	2	no	—
929	C₄×D₄	—	79	8	no	—
930	C₄×D₄	—	79	8	no	—
931	#117	—	316	2	no	—
932	#117	—	316	2	no	—
933	#117	—	316	2	no	—
934	#117	—	316	2	no	—
935	C₂×C₄⋊C₄	—	79	1	no	—
936	C₂×C₄⋊C₄	—	79	1	no	—
937	C₂×C₄⋊C₄	—	79	1	no	—
938	C₂×C₄⋊C₄	—	79	1	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	8	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	C₂²×D₇₉	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
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×C₂²⋊C₄	—	79	1	no	—
975	C₂×C₂²⋊C₄	—	79	1	no	—
976	C₂×C₂²⋊C₄	—	79	1	no	—
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	—	79	1	no	—
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×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
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	—	79	1	no	—
1023	C₂×C₄²	—	79	1	no	—
1024	C₂×C₄²	—	79	1	no	—
1025	C₂×C₄²	—	79	1	no	—
1026	C₂×C₄²	—	79	1	no	—
1027	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1028	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1029	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
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	—	79	1	no	—
1067	#95	—	79	1	no	—
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	C₂⁴	—	79	1	no	—
1079	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1080	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1081	C₂×Q₈	—	316	1	no	—
1082	C₂×Q₈	—	316	1	no	—
1083	C₂×Q₈	—	79	4	no	—
1084	C₂×D₄	—	4	1	no	—
1085	C₂×D₄	—	4	1	no	—
1086	C₂×D₄	—	316	1	no	—
1087	C₂×D₄	—	316	1	no	—
1088	C₂×D₄	—	316	1	no	—
1089	C₂×D₄	—	316	1	no	—
1090	C₂×D₄	—	79	4	no	—
1091	C₂×D₄	—	79	4	no	—
1092	C₂×D₄	C₂×C₄×D₇₉	1	4	yes	—
1093	C₂²×C₄	—	4	1	no	—
1094	C₂²×C₄	—	4	1	no	—
1095	C₂²×C₄	—	4	1	no	—
1096	C₂²×C₄	—	4	1	no	—
1097	C₂²×C₄	—	4	1	no	—
1098	C₂²×C₄	—	316	1	no	—
1099	C₂²×C₄	—	316	1	no	—
1100	C₂²×C₄	—	316	1	no	—
1101	C₂²×C₄	—	316	1	no	—
1102	C₂²×C₄	—	316	1	no	—
1103	C₂²×C₄	—	316	1	no	—
1104	C₂²×C₄	—	316	1	no	—
1105	C₂²×C₄	—	316	1	no	—
1106	C₂²×C₄	—	316	1	no	—
1107	C₂²×C₄	—	316	1	no	—
1108	C₂²×C₄	—	316	1	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	—	79	4	no	—
1115	C₂²×C₄	—	79	4	no	—
1116	C₂²×C₄	—	79	4	no	—
1117	C₂²×C₄	—	79	4	no	—
1118	C₂²×C₄	—	79	1	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	1	no	—
1127	C₂²×C₄	—	79	1	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	—	158	2	no	—
1134	C₂²×C₄	C₂×C₄×D₇₉	1	4	yes	—
1135	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
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	C₄⋊C₄	—	4	1	no	—
1149	C₄⋊C₄	—	4	1	no	—
1150	C₄⋊C₄	—	4	1	no	—
1151	C₄⋊C₄	—	4	1	no	—
1152	C₄⋊C₄	—	4	1	no	—
1153	C₄⋊C₄	—	4	1	no	—
1154	C₄⋊C₄	—	4	1	no	—
1155	C₄⋊C₄	—	316	1	no	—
1156	C₄⋊C₄	—	316	1	no	—
1157	C₄⋊C₄	—	316	1	no	—
1158	C₄⋊C₄	—	316	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	—	79	4	no	—
1170	C₄⋊C₄	—	79	4	no	—
1171	C₄⋊C₄	—	79	4	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	C₂×C₄×D₇₉	1	4	yes	—
1185	C₄⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1186	C₂²⋊C₄	—	4	1	no	—
1187	C₂²⋊C₄	—	4	1	no	—
1188	C₂²⋊C₄	—	4	1	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	4	1	no	—
1193	C₂²⋊C₄	—	316	1	no	—
1194	C₂²⋊C₄	—	316	1	no	—
1195	C₂²⋊C₄	—	316	1	no	—
1196	C₂²⋊C₄	—	316	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	—	79	4	no	—
1202	C₂²⋊C₄	—	79	4	no	—
1203	C₂²⋊C₄	—	79	4	no	—
1204	C₂²⋊C₄	—	79	4	no	—
1205	C₂²⋊C₄	—	79	4	no	—
1206	C₂²⋊C₄	—	79	4	no	—
1207	C₂²⋊C₄	—	79	4	no	—
1208	C₂²⋊C₄	—	158	2	no	—
1209	C₂²⋊C₄	—	158	2	no	—
1210	C₂²⋊C₄	—	158	2	no	—
1211	C₂²⋊C₄	—	158	2	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	C₂²⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1216	C₄²	—	4	1	no	—
1217	C₄²	—	4	1	no	—
1218	C₄²	—	4	1	no	—
1219	C₄²	—	316	1	no	—
1220	C₄²	—	316	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	—	316	1	no	—
1234	C₄²	—	316	1	no	—
1235	C₄²	—	79	4	no	—
1236	C₄²	—	79	4	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	C₂³	—	2	1	no	—
1243	C₂³	—	2	1	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	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	79	2	no	—
1255	C₂³	—	158	1	no	—
1256	C₂³	—	158	1	no	—
1257	C₂³	—	158	1	no	—
1258	C₂³	—	158	1	no	—
1259	C₂³	—	158	1	no	—
1260	C₂³	—	158	1	no	—
1261	C₂³	C₂²×C₄×D₇₉	1	2	yes	—
1262	C₂³	C₂²×C₄×D₇₉	1	2	yes	—
1263	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1264	Q₈	—	316	4	no	—
1265	D₄	—	4	4	no	—
1266	D₄	—	316	4	no	—
1267	D₄	—	316	4	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	—	8	2	no	—
1304	C₂×C₄	—	316	4	no	—
1305	C₂×C₄	—	316	4	no	—
1306	C₂×C₄	—	316	4	no	—
1307	C₂×C₄	—	316	4	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	—	632	2	no	—
1318	C₂×C₄	—	632	2	no	—
1319	C₂×C₄	—	632	2	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	1	no	—
1343	C₂×C₄	—	158	1	no	—
1344	C₂×C₄	—	158	1	no	—
1345	C₂×C₄	—	158	1	no	—
1346	C₂×C₄	—	158	1	no	—
1347	C₂×C₄	—	158	1	no	—
1348	C₂×C₄	—	158	1	no	—
1349	C₂×C₄	—	158	1	no	—
1350	C₂×C₄	—	158	1	no	—
1351	C₂×C₄	—	158	1	no	—
1352	C₂×C₄	—	158	1	no	—
1353	C₂×C₄	—	158	1	no	—
1354	C₂×C₄	—	158	1	no	—
1355	C₂×C₄	—	158	1	no	—
1356	C₂×C₄	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	C₂²×C₄×D₇₉	1	2	yes	—
1360	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	4	1	no	—
1368	C₂²	—	4	1	no	—
1369	C₂²	—	4	1	no	—
1370	C₂²	—	4	1	no	—
1371	C₂²	—	4	1	no	—
1372	C₂²	—	4	1	no	—
1373	C₂²	—	4	1	no	—
1374	C₂²	—	4	1	no	—
1375	C₂²	—	316	1	no	—
1376	C₂²	—	316	1	no	—
1377	C₂²	—	316	1	no	—
1378	C₂²	—	316	1	no	—
1379	C₂²	—	158	2	no	—
1380	C₂²	—	158	2	no	—
1381	C₂²	—	158	2	no	—
1382	C₂²	C₂³×C₄×D₇₉	1	1	yes	characteristic
1383	C₂²	H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1384	C₂²	2₋¹⁺⁴×D₇₉	1	1	yes	characteristic
1385	C₂²	#19099398	1	1	yes	characteristic
1386	C₂²	#19099398	1	1	yes	characteristic
1387	C₂²	#19099398	1	1	yes	characteristic
1388	C₂²	#19099400	1	1	yes	characteristic
1389	C₄	—	2	2	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	2	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	4	1	no	—
1395	C₄	—	4	1	no	—
1396	C₄	—	4	1	no	—
1397	C₄	—	4	1	no	—
1398	C₄	—	4	1	no	—
1399	C₄	—	4	1	no	—
1400	C₄	—	4	1	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	316	1	no	—
1403	C₄	—	316	1	no	—
1404	C₄	—	316	1	no	—
1405	C₄	—	316	1	no	—
1406	C₄	—	316	1	no	—
1407	C₄	—	316	1	no	—
1408	C₄	—	158	2	no	—
1409	C₄	—	158	2	no	—
1410	C₄	—	158	2	no	—
1411	C₄	—	158	2	no	—
1412	C₄	—	158	2	no	—
1413	C₄	—	158	2	no	—
1414	C₄	—	158	2	no	—
1415	C₄	—	158	2	no	—
1416	C₄	—	158	2	no	—
1417	C₂	—	4	2	no	—
1418	C₂	—	4	2	no	—
1419	C₂	—	316	2	no	—
1420	C₂	#23776598	1	1	yes	characteristic
1421	C₂	#23776606	1	1	yes	characteristic
1422	C₂	#23776611	1	1	yes	characteristic
1423	C₂	#23777928	1	1	yes	characteristic
1424	C₂	#23777977	1	1	yes	characteristic
1425	C₂	#23778015	1	1	yes	characteristic
1426	C₂	#23778065	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₉
commutator	C₂²×C₇₉	C₂⁴×C₄
Fitting	C₇₉×#2376	C₂
socle, cosocle	C₂³×C₇₉	C₂⁵
prime radical	C₂×#14579133	C₂²
hypercenter	#2376	D₇₉
hypocenter	C₇₉	#34452
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ #2376

Complements

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

N	H ≅ G/N	type
2. #23766591	C₂	semidirect
3. #23766560	C₂	semidirect
4. #23766546	C₂	semidirect
5. #23766536	C₂	semidirect
6. #23766528	C₂	semidirect
7. #23766526	C₂	semidirect
8. #23766482	C₂	semidirect
9. #23766430	C₂	semidirect
10. #23766426	C₂	semidirect
11. #23766395	C₂	semidirect
12. #23766390	C₂	semidirect
13. #23766348	C₂	semidirect
14. #23766338	C₂	semidirect
15. #23766279	C₂	semidirect
16. #23766271	C₂	semidirect
17. #23766202	C₂	semidirect
18. #23766200	C₂	semidirect
19. #23766186	C₂	semidirect
20. #23766186	C₂	semidirect
21. #23766170	C₂	semidirect
23. #23766138	C₂	semidirect
24. #23766131	C₂	semidirect
26. #23766079	C₂	semidirect
27. #23766030	C₂	semidirect
28. #23765959	C₂	semidirect
29. #23765954	C₂	semidirect
30. #23765860	C₂	semidirect
31. C₇₉×#2376	C₂	semidirect
32. #19099157	C₄	semidirect
198. #14579156	C₂×C₄	semidirect
199. #14579154	C₂×C₄	semidirect
200. #14579152	C₂×C₄	semidirect
201. #14579151	C₂×C₄	semidirect
203. #14579144	C₂×C₄	semidirect
205. #14579141	C₂×C₄	semidirect
206. #14579138	C₂×C₄	semidirect
207. #14579138	C₂×C₄	semidirect
210. D₄×Dic₇₉	C₂×C₄	semidirect
212. (C₂²⋊D₇₉)⋊C₄	C₂×C₄	semidirect
217. C₂×C₄⋊Dic₇₉	C₂×C₄	semidirect
331. #123×C₇₉	C₂×C₄	semidirect
718. #2376	D₇₉	semidirect
745. C₇₉	#34452	semidirect
922. #123	C₄×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19099157	2
#23766591	2
#23766560	2
#23766546	2
#23766536	2
#23766528	2
#23766526	2
#23766482	2
#23766430	2
#23766426	2
#23766395	2
#23766390	2
#23766348	2
#23766338	2
#23766279	2
#23766271	2
#23766202	2
#23766200	2
#23766186	2
#23766170	2
#23766159	2
#23766138	2
#23766131	2
#23766090	2
#23766079	2
#23766030	2
#23765959	2
#23765954	2
#23765860	2
C₇₉×#2376	2
#34452	79