Subgroups — C₇₉×#36521 #34148210

Order 20224.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₉×#2853	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₉×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₉×#2849	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₉×#2607	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₉×#2602	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₉×#2597	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₉×#2595	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₉×#2589	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₉×#2575	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₉×#2561	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₉×#2557	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₉×#2557	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₉×#2539	C₂	1	1	yes	maximal, characteristic
14	C₇₉×#2517	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₉×#2516	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇₉×#2488	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₉×#2472	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇₉×#2459	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₉×#2458	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇₉×#2419	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇₉×#2418	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇₉×#2374	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₉×#2374	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇₉×#2368	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇₉×#2367	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇₉×#2364	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇₉×#2357	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×C₂²⋊Q₈×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#123×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#120×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₂²⋊C₄×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₇₉	C₂²	1	1	yes	characteristic
33	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic
34	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic, complemented
35	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic
36	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic
37	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic
38	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic
39	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
42	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic
43	C₂×#120×C₇₉	C₂²	1	1	yes	characteristic
44	C₂×#120×C₇₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
50	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
51	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
52	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic
53	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic
54	#400×C₇₉	C₂²	1	1	yes	characteristic, complemented
55	#400×C₇₉	C₂²	1	1	yes	characteristic, complemented
56	#400×C₇₉	C₂²	1	1	yes	characteristic, complemented
57	#399×C₇₉	C₂²	1	1	yes	characteristic
58	#399×C₇₉	C₂²	1	1	yes	characteristic
59	#399×C₇₉	C₂²	1	1	yes	characteristic
60	#398×C₇₉	C₂²	1	1	yes	characteristic, complemented
61	#397×C₇₉	C₂²	1	1	yes	characteristic
62	#397×C₇₉	C₂²	1	1	yes	characteristic
63	#397×C₇₉	C₂²	1	1	yes	characteristic
64	#397×C₇₉	C₂²	1	1	yes	characteristic
65	#397×C₇₉	C₂²	1	1	yes	characteristic, complemented
66	#397×C₇₉	C₂²	1	1	yes	characteristic, complemented
67	#397×C₇₉	C₂²	1	1	yes	characteristic, complemented
68	#394×C₇₉	C₂²	1	1	yes	characteristic
69	#394×C₇₉	C₂²	1	1	yes	characteristic
70	#394×C₇₉	C₂²	1	1	yes	characteristic
71	#394×C₇₉	C₂²	1	1	yes	characteristic
72	#393×C₇₉	C₂²	1	1	yes	characteristic
73	#393×C₇₉	C₂²	1	1	yes	characteristic
74	#393×C₇₉	C₂²	1	1	yes	characteristic
75	#393×C₇₉	C₂²	1	1	yes	characteristic, complemented
76	#392×C₇₉	C₂²	1	1	yes	characteristic
77	#392×C₇₉	C₂²	1	1	yes	characteristic
78	#391×C₇₉	C₂²	1	1	yes	characteristic, complemented
79	#391×C₇₉	C₂²	1	1	yes	characteristic, complemented
80	#391×C₇₉	C₂²	1	1	yes	characteristic, complemented
81	#391×C₇₉	C₂²	1	1	yes	characteristic, complemented
82	#391×C₇₉	C₂²	1	1	yes	characteristic, complemented
83	#390×C₇₉	C₂²	1	1	yes	characteristic
84	#390×C₇₉	C₂²	1	1	yes	characteristic
85	#390×C₇₉	C₂²	1	1	yes	characteristic
86	#390×C₇₉	C₂²	1	1	yes	characteristic
87	#390×C₇₉	C₂²	1	1	yes	characteristic
88	#390×C₇₉	C₂²	1	1	yes	characteristic, complemented
89	#389×C₇₉	C₂²	1	1	yes	characteristic, complemented
90	#388×C₇₉	C₂²	1	1	yes	characteristic
91	#388×C₇₉	C₂²	1	1	yes	characteristic
92	#388×C₇₉	C₂²	1	1	yes	characteristic
93	#388×C₇₉	C₂²	1	1	yes	characteristic
94	#388×C₇₉	C₂²	1	1	yes	characteristic
95	#388×C₇₉	C₂²	1	1	yes	characteristic
96	#388×C₇₉	C₂²	1	1	yes	characteristic
97	#388×C₇₉	C₂²	1	1	yes	characteristic
98	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
99	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
100	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
101	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
102	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
103	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
104	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
105	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
106	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
107	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
108	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
109	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
110	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
111	#388×C₇₉	C₂²	1	1	yes	characteristic, complemented
112	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
113	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
114	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
115	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
116	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
117	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
118	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
119	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
120	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
121	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
122	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
123	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
124	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
125	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
126	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	#387×C₇₉	C₂²	1	1	yes	characteristic, complemented
128	#386×C₇₉	C₂²	1	1	yes	characteristic
129	#386×C₇₉	C₂²	1	1	yes	characteristic
130	#386×C₇₉	C₂²	1	1	yes	characteristic
131	#386×C₇₉	C₂²	1	1	yes	characteristic
132	#386×C₇₉	C₂²	1	1	yes	characteristic
133	#386×C₇₉	C₂²	1	1	yes	characteristic
134	#386×C₇₉	C₂²	1	1	yes	characteristic
135	#386×C₇₉	C₂²	1	1	yes	characteristic
136	#386×C₇₉	C₂²	1	1	yes	characteristic
137	#386×C₇₉	C₂²	1	1	yes	characteristic
138	#386×C₇₉	C₂²	1	1	yes	characteristic
139	#386×C₇₉	C₂²	1	1	yes	characteristic, complemented
140	#386×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	#385×C₇₉	C₂²	1	1	yes	characteristic
142	#385×C₇₉	C₂²	1	1	yes	characteristic
143	#385×C₇₉	C₂²	1	1	yes	characteristic
144	#385×C₇₉	C₂²	1	1	yes	characteristic
145	#385×C₇₉	C₂²	1	1	yes	characteristic
146	#385×C₇₉	C₂²	1	1	yes	characteristic
147	#385×C₇₉	C₂²	1	1	yes	characteristic
148	#385×C₇₉	C₂²	1	1	yes	characteristic
149	#385×C₇₉	C₂²	1	1	yes	characteristic, complemented
150	#382×C₇₉	C₂²	1	1	yes	characteristic, complemented
151	#382×C₇₉	C₂²	1	1	yes	characteristic, complemented
152	#381×C₇₉	C₂²	1	1	yes	characteristic
153	#381×C₇₉	C₂²	1	1	yes	characteristic
154	#381×C₇₉	C₂²	1	1	yes	characteristic
155	#381×C₇₉	C₂²	1	1	yes	characteristic
156	#381×C₇₉	C₂²	1	1	yes	characteristic, complemented
157	#380×C₇₉	C₂²	1	1	yes	characteristic
158	#379×C₇₉	C₂²	1	1	yes	characteristic
159	#379×C₇₉	C₂²	1	1	yes	characteristic
160	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
161	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
162	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
163	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
170	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
172	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
173	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
174	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
175	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
176	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
178	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
181	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
185	C₂×#95×C₇₉	C₂²	1	1	yes	characteristic
186	C₂×#95×C₇₉	C₂²	1	1	yes	characteristic
187	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₇₉	—	2	4	no	—
198	C₂³×C₄×C₇₉	—	4	2	no	—
199	C₂³×C₄×C₇₉	—	4	2	no	—
200	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
212	#124×C₇₉	—	2	4	no	—
213	#124×C₇₉	—	4	2	no	—
214	#123×C₇₉	—	2	4	no	—
215	#123×C₇₉	—	2	4	no	—
216	#123×C₇₉	—	2	4	no	—
217	#123×C₇₉	—	4	2	no	—
218	#123×C₇₉	—	4	2	no	—
219	C₂²⋊Q₈×C₇₉	—	2	4	no	—
220	C₂²⋊Q₈×C₇₉	—	2	4	no	—
221	#121×C₇₉	—	2	4	no	—
222	#120×C₇₉	—	2	4	no	—
223	#120×C₇₉	—	4	2	no	—
224	C₄×Q₈×C₇₉	—	4	2	no	—
225	C₄×D₄×C₇₉	—	2	4	no	—
226	C₄×D₄×C₇₉	—	4	2	no	—
227	C₄×D₄×C₇₉	—	4	2	no	—
228	C₄×D₄×C₇₉	—	4	2	no	—
229	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊C₄×C₇₉	—	2	4	no	—
253	C₂×C₂²⋊C₄×C₇₉	—	2	4	no	—
254	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₇₉	—	4	2	no	—
301	C₂×C₄²×C₇₉	—	4	2	no	—
302	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
320	#95×C₇₉	C₂³	1	1	yes	characteristic
321	#95×C₇₉	C₂³	1	1	yes	characteristic
322	#95×C₇₉	C₂³	1	1	yes	characteristic
323	#95×C₇₉	C₂³	1	1	yes	characteristic
324	#95×C₇₉	C₂³	1	1	yes	characteristic
325	#95×C₇₉	C₂³	1	1	yes	characteristic
326	#95×C₇₉	C₂³	1	1	yes	characteristic
327	#95×C₇₉	C₂³	1	1	yes	characteristic
328	#95×C₇₉	C₂³	1	1	yes	characteristic
329	#95×C₇₉	C₂³	1	1	yes	characteristic
330	#95×C₇₉	C₂³	1	1	yes	characteristic
331	#95×C₇₉	C₂³	1	1	yes	characteristic
332	#95×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	#95×C₇₉	C₂³	1	1	yes	characteristic
352	#95×C₇₉	C₂³	1	1	yes	characteristic
353	#95×C₇₉	C₂³	1	1	yes	characteristic
354	#95×C₇₉	C₂³	1	1	yes	characteristic
355	#95×C₇₉	C₂³	1	1	yes	characteristic
356	#95×C₇₉	C₂³	1	1	yes	characteristic
357	#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	C₂⁴×C₇₉	—	2	2	no	—
367	C₂⁴×C₇₉	—	2	2	no	—
368	C₂⁴×C₇₉	—	2	2	no	—
369	C₂⁴×C₇₉	—	2	2	no	—
370	C₂⁴×C₇₉	—	2	2	no	—
371	C₂⁴×C₇₉	—	4	1	no	—
372	C₂⁴×C₇₉	—	4	1	no	—
373	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
375	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
376	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
377	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
378	C₂×Q₈×C₇₉	—	2	2	no	—
379	C₂×Q₈×C₇₉	—	2	2	no	—
380	C₂×Q₈×C₇₉	—	2	2	no	—
381	C₂×Q₈×C₇₉	—	4	1	no	—
382	C₂×Q₈×C₇₉	—	4	1	no	—
383	C₂×Q₈×C₇₉	—	4	1	no	—
384	C₂×D₄×C₇₉	—	2	2	no	—
385	C₂×D₄×C₇₉	—	2	2	no	—
386	C₂×D₄×C₇₉	—	2	2	no	—
387	C₂×D₄×C₇₉	—	2	2	no	—
388	C₂×D₄×C₇₉	—	2	2	no	—
389	C₂×D₄×C₇₉	—	2	2	no	—
390	C₂×D₄×C₇₉	—	2	2	no	—
391	C₂×D₄×C₇₉	—	2	2	no	—
392	C₂×D₄×C₇₉	—	2	2	no	—
393	C₂×D₄×C₇₉	—	2	2	no	—
394	C₂×D₄×C₇₉	—	2	2	no	—
395	C₂×D₄×C₇₉	—	2	2	no	—
396	C₂×D₄×C₇₉	—	2	2	no	—
397	C₂×D₄×C₇₉	—	4	1	no	—
398	C₂×D₄×C₇₉	—	4	1	no	—
399	C₂×D₄×C₇₉	—	4	1	no	—
400	C₂×D₄×C₇₉	—	4	1	no	—
401	C₂×D₄×C₇₉	—	4	1	no	—
402	C₂×D₄×C₇₉	—	4	1	no	—
403	C₂×D₄×C₇₉	—	4	1	no	—
404	C₂×D₄×C₇₉	—	4	1	no	—
405	C₂²×C₄×C₇₉	—	2	2	no	—
406	C₂²×C₄×C₇₉	—	2	2	no	—
407	C₂²×C₄×C₇₉	—	2	2	no	—
408	C₂²×C₄×C₇₉	—	2	2	no	—
409	C₂²×C₄×C₇₉	—	2	2	no	—
410	C₂²×C₄×C₇₉	—	2	2	no	—
411	C₂²×C₄×C₇₉	—	2	2	no	—
412	C₂²×C₄×C₇₉	—	2	2	no	—
413	C₂²×C₄×C₇₉	—	2	2	no	—
414	C₂²×C₄×C₇₉	—	2	2	no	—
415	C₂²×C₄×C₇₉	—	2	2	no	—
416	C₂²×C₄×C₇₉	—	2	2	no	—
417	C₂²×C₄×C₇₉	—	2	2	no	—
418	C₂²×C₄×C₇₉	—	2	2	no	—
419	C₂²×C₄×C₇₉	—	2	2	no	—
420	C₂²×C₄×C₇₉	—	2	2	no	—
421	C₂²×C₄×C₇₉	—	2	2	no	—
422	C₂²×C₄×C₇₉	—	2	2	no	—
423	C₂²×C₄×C₇₉	—	2	2	no	—
424	C₂²×C₄×C₇₉	—	4	1	no	—
425	C₂²×C₄×C₇₉	—	4	1	no	—
426	C₂²×C₄×C₇₉	—	4	1	no	—
427	C₂²×C₄×C₇₉	—	4	1	no	—
428	C₂²×C₄×C₇₉	—	4	1	no	—
429	C₂²×C₄×C₇₉	—	4	1	no	—
430	C₂²×C₄×C₇₉	—	4	1	no	—
431	C₂²×C₄×C₇₉	—	4	1	no	—
432	C₂²×C₄×C₇₉	—	4	1	no	—
433	C₂²×C₄×C₇₉	—	4	1	no	—
434	C₂²×C₄×C₇₉	—	4	1	no	—
435	C₂²×C₄×C₇₉	—	4	1	no	—
436	C₂²×C₄×C₇₉	—	4	1	no	—
437	C₂²×C₄×C₇₉	—	4	1	no	—
438	C₂²×C₄×C₇₉	—	4	1	no	—
439	C₂²×C₄×C₇₉	—	4	16	no	—
440	C₂²×C₄×C₇₉	#41	1	4	yes	—
441	C₂²×C₄×C₇₉	#41	1	4	yes	—
442	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
468	C₄⋊C₄×C₇₉	—	2	2	no	—
469	C₄⋊C₄×C₇₉	—	2	2	no	—
470	C₄⋊C₄×C₇₉	—	2	2	no	—
471	C₄⋊C₄×C₇₉	—	2	2	no	—
472	C₄⋊C₄×C₇₉	—	2	2	no	—
473	C₄⋊C₄×C₇₉	—	2	2	no	—
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	—	2	2	no	—
478	C₄⋊C₄×C₇₉	—	2	2	no	—
479	C₄⋊C₄×C₇₉	—	2	2	no	—
480	C₄⋊C₄×C₇₉	—	2	2	no	—
481	C₄⋊C₄×C₇₉	—	2	2	no	—
482	C₄⋊C₄×C₇₉	—	2	2	no	—
483	C₄⋊C₄×C₇₉	—	2	2	no	—
484	C₄⋊C₄×C₇₉	—	4	1	no	—
485	C₄⋊C₄×C₇₉	—	4	1	no	—
486	C₄⋊C₄×C₇₉	—	4	1	no	—
487	C₄⋊C₄×C₇₉	—	4	1	no	—
488	C₄⋊C₄×C₇₉	—	4	1	no	—
489	C₄⋊C₄×C₇₉	—	4	1	no	—
490	C₄⋊C₄×C₇₉	—	4	1	no	—
491	C₂²⋊C₄×C₇₉	—	2	2	no	—
492	C₂²⋊C₄×C₇₉	—	2	2	no	—
493	C₂²⋊C₄×C₇₉	—	2	2	no	—
494	C₂²⋊C₄×C₇₉	—	2	2	no	—
495	C₂²⋊C₄×C₇₉	—	2	2	no	—
496	C₂²⋊C₄×C₇₉	—	2	2	no	—
497	C₂²⋊C₄×C₇₉	—	2	2	no	—
498	C₂²⋊C₄×C₇₉	—	2	2	no	—
499	C₂²⋊C₄×C₇₉	—	2	2	no	—
500	C₂²⋊C₄×C₇₉	—	2	2	no	—
501	C₂²⋊C₄×C₇₉	—	2	2	no	—
502	C₂²⋊C₄×C₇₉	—	2	2	no	—
503	C₂²⋊C₄×C₇₉	—	2	2	no	—
504	C₂²⋊C₄×C₇₉	—	2	2	no	—
505	C₂²⋊C₄×C₇₉	—	2	2	no	—
506	C₂²⋊C₄×C₇₉	—	2	2	no	—
507	C₂²⋊C₄×C₇₉	—	2	2	no	—
508	C₂²⋊C₄×C₇₉	—	2	2	no	—
509	C₂²⋊C₄×C₇₉	—	2	2	no	—
510	C₂²⋊C₄×C₇₉	—	2	2	no	—
511	C₂²⋊C₄×C₇₉	—	2	2	no	—
512	C₂²⋊C₄×C₇₉	—	2	2	no	—
513	C₂²⋊C₄×C₇₉	—	2	2	no	—
514	C₂²⋊C₄×C₇₉	—	2	2	no	—
515	C₂²⋊C₄×C₇₉	—	2	2	no	—
516	C₂²⋊C₄×C₇₉	—	2	2	no	—
517	C₂²⋊C₄×C₇₉	—	2	2	no	—
518	C₂²⋊C₄×C₇₉	—	2	2	no	—
519	C₂²⋊C₄×C₇₉	—	2	2	no	—
520	C₂²⋊C₄×C₇₉	—	2	2	no	—
521	C₂²⋊C₄×C₇₉	—	4	1	no	—
522	C₂²⋊C₄×C₇₉	—	4	1	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	—	4	1	no	—
527	C₂²⋊C₄×C₇₉	—	4	1	no	—
528	C₂²⋊C₄×C₇₉	—	4	1	no	—
529	C₂²⋊C₄×C₇₉	—	4	1	no	—
530	C₂²⋊C₄×C₇₉	—	4	1	no	—
531	C₂²⋊C₄×C₇₉	—	4	1	no	—
532	C₂²⋊C₄×C₇₉	—	4	1	no	—
533	C₂²⋊C₄×C₇₉	—	4	1	no	—
534	C₂²⋊C₄×C₇₉	—	4	1	no	—
535	C₂²⋊C₄×C₇₉	#41	1	4	yes	—
536	C₂²⋊C₄×C₇₉	#41	1	4	yes	—
537	C₄²×C₇₉	—	2	2	no	—
538	C₄²×C₇₉	—	2	2	no	—
539	C₄²×C₇₉	—	2	2	no	—
540	C₄²×C₇₉	—	2	2	no	—
541	C₄²×C₇₉	—	4	1	no	—
542	C₄²×C₇₉	—	4	1	no	—
543	C₄²×C₇₉	—	4	1	no	—
544	C₄²×C₇₉	—	4	1	no	—
545	C₄²×C₇₉	—	4	1	no	—
546	C₄²×C₇₉	—	4	1	no	—
547	C₄²×C₇₉	—	4	1	no	—
548	C₄²×C₇₉	—	4	1	no	—
549	C₄²×C₇₉	—	4	1	no	—
550	C₄²×C₇₉	—	4	1	no	—
551	C₄²×C₇₉	—	4	1	no	—
552	C₄²×C₇₉	—	4	1	no	—
553	C₄²×C₇₉	—	4	1	no	—
554	C₄²×C₇₉	—	4	1	no	—
555	C₂³×C₇₉	—	2	1	no	—
556	C₂³×C₇₉	—	2	1	no	—
557	C₂³×C₇₉	—	2	1	no	—
558	C₂³×C₇₉	—	2	1	no	—
559	C₂³×C₇₉	—	2	8	no	—
560	C₂³×C₇₉	—	2	1	no	—
561	C₂³×C₇₉	—	2	1	no	—
562	C₂³×C₇₉	—	2	1	no	—
563	C₂³×C₇₉	—	2	1	no	—
564	C₂³×C₇₉	—	2	1	no	—
565	C₂³×C₇₉	—	2	1	no	—
566	C₂³×C₇₉	—	2	1	no	—
567	C₂³×C₇₉	—	2	1	no	—
568	C₂³×C₇₉	—	2	1	no	—
569	C₂³×C₇₉	—	2	1	no	—
570	C₂³×C₇₉	—	2	1	no	—
571	C₂³×C₇₉	—	2	1	no	—
572	C₂³×C₇₉	—	2	1	no	—
573	C₂³×C₇₉	—	2	1	no	—
574	C₂³×C₇₉	—	2	1	no	—
575	C₂³×C₇₉	—	2	1	no	—
576	C₂³×C₇₉	—	2	1	no	—
577	C₂³×C₇₉	—	2	1	no	—
578	C₂³×C₇₉	—	2	1	no	—
579	C₂³×C₇₉	—	2	1	no	—
580	C₂³×C₇₉	—	2	1	no	—
581	C₂³×C₇₉	—	2	1	no	—
582	C₂³×C₇₉	—	2	1	no	—
583	C₂³×C₇₉	—	2	1	no	—
584	C₂³×C₇₉	—	2	1	no	—
585	C₂³×C₇₉	—	2	1	no	—
586	C₂³×C₇₉	—	4	4	no	—
587	C₂³×C₇₉	—	4	4	no	—
588	C₂³×C₇₉	—	4	4	no	—
589	C₂³×C₇₉	—	4	4	no	—
590	C₂³×C₇₉	—	4	4	no	—
591	C₂³×C₇₉	—	4	4	no	—
592	C₂³×C₇₉	C₂×#41	1	2	yes	—
593	C₂³×C₇₉	C₂×#41	1	2	yes	—
594	C₂³×C₇₉	C₂×#41	1	2	yes	—
595	C₂³×C₇₉	C₂×#41	1	2	yes	—
596	C₂³×C₇₉	H(5,𝔽₂)	1	2	yes	—
597	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
598	Q₈×C₇₉	—	4	4	no	—
599	Q₈×C₇₉	—	8	2	no	—
600	D₄×C₇₉	—	4	4	no	—
601	D₄×C₇₉	—	4	4	no	—
602	D₄×C₇₉	—	4	4	no	—
603	D₄×C₇₉	—	4	4	no	—
604	D₄×C₇₉	—	8	2	no	—
605	D₄×C₇₉	—	8	2	no	—
606	D₄×C₇₉	—	8	2	no	—
607	C₂×C₄×C₇₉	—	2	8	no	—
608	C₂×C₄×C₇₉	—	2	1	no	—
609	C₂×C₄×C₇₉	—	2	1	no	—
610	C₂×C₄×C₇₉	—	2	1	no	—
611	C₂×C₄×C₇₉	—	2	1	no	—
612	C₂×C₄×C₇₉	—	2	1	no	—
613	C₂×C₄×C₇₉	—	2	1	no	—
614	C₂×C₄×C₇₉	—	2	1	no	—
615	C₂×C₄×C₇₉	—	2	1	no	—
616	C₂×C₄×C₇₉	—	2	1	no	—
617	C₂×C₄×C₇₉	—	2	1	no	—
618	C₂×C₄×C₇₉	—	2	1	no	—
619	C₂×C₄×C₇₉	—	2	1	no	—
620	C₂×C₄×C₇₉	—	2	1	no	—
621	C₂×C₄×C₇₉	—	2	1	no	—
622	C₂×C₄×C₇₉	—	2	1	no	—
623	C₂×C₄×C₇₉	—	2	1	no	—
624	C₂×C₄×C₇₉	—	2	1	no	—
625	C₂×C₄×C₇₉	—	2	1	no	—
626	C₂×C₄×C₇₉	—	2	1	no	—
627	C₂×C₄×C₇₉	—	2	1	no	—
628	C₂×C₄×C₇₉	—	2	1	no	—
629	C₂×C₄×C₇₉	—	2	1	no	—
630	C₂×C₄×C₇₉	—	2	1	no	—
631	C₂×C₄×C₇₉	—	2	1	no	—
632	C₂×C₄×C₇₉	—	2	1	no	—
633	C₂×C₄×C₇₉	—	2	1	no	—
634	C₂×C₄×C₇₉	—	2	1	no	—
635	C₂×C₄×C₇₉	—	2	1	no	—
636	C₂×C₄×C₇₉	—	2	1	no	—
637	C₂×C₄×C₇₉	—	2	1	no	—
638	C₂×C₄×C₇₉	—	2	1	no	—
639	C₂×C₄×C₇₉	—	2	1	no	—
640	C₂×C₄×C₇₉	—	2	1	no	—
641	C₂×C₄×C₇₉	—	2	1	no	—
642	C₂×C₄×C₇₉	—	2	1	no	—
643	C₂×C₄×C₇₉	—	2	1	no	—
644	C₂×C₄×C₇₉	—	2	1	no	—
645	C₂×C₄×C₇₉	—	2	1	no	—
646	C₂×C₄×C₇₉	—	2	1	no	—
647	C₂×C₄×C₇₉	—	2	1	no	—
648	C₂×C₄×C₇₉	—	2	1	no	—
649	C₂×C₄×C₇₉	—	2	1	no	—
650	C₂×C₄×C₇₉	—	2	1	no	—
651	C₂×C₄×C₇₉	—	2	1	no	—
652	C₂×C₄×C₇₉	—	2	1	no	—
653	C₂×C₄×C₇₉	—	2	1	no	—
654	C₂×C₄×C₇₉	—	2	1	no	—
655	C₂×C₄×C₇₉	—	2	1	no	—
656	C₂×C₄×C₇₉	—	2	1	no	—
657	C₂×C₄×C₇₉	—	2	1	no	—
658	C₂×C₄×C₇₉	—	2	1	no	—
659	C₂×C₄×C₇₉	—	2	1	no	—
660	C₂×C₄×C₇₉	—	2	1	no	—
661	C₂×C₄×C₇₉	—	2	1	no	—
662	C₂×C₄×C₇₉	—	2	1	no	—
663	C₂×C₄×C₇₉	—	2	1	no	—
664	C₂×C₄×C₇₉	—	2	1	no	—
665	C₂×C₄×C₇₉	—	2	1	no	—
666	C₂×C₄×C₇₉	—	2	1	no	—
667	C₂×C₄×C₇₉	—	2	1	no	—
668	C₂×C₄×C₇₉	—	2	1	no	—
669	C₂×C₄×C₇₉	—	2	1	no	—
670	C₂×C₄×C₇₉	—	2	1	no	—
671	C₂×C₄×C₇₉	—	2	1	no	—
672	C₂×C₄×C₇₉	—	2	1	no	—
673	C₂×C₄×C₇₉	—	2	1	no	—
674	C₂×C₄×C₇₉	—	2	1	no	—
675	C₂×C₄×C₇₉	—	2	1	no	—
676	C₂×C₄×C₇₉	—	2	1	no	—
677	C₂×C₄×C₇₉	—	4	4	no	—
678	C₂×C₄×C₇₉	—	4	4	no	—
679	C₂×C₄×C₇₉	—	4	4	no	—
680	C₂×C₄×C₇₉	—	4	4	no	—
681	C₂×C₄×C₇₉	—	4	4	no	—
682	C₂×C₄×C₇₉	—	4	4	no	—
683	C₂×C₄×C₇₉	—	4	4	no	—
684	C₂×C₄×C₇₉	—	4	4	no	—
685	C₂×C₄×C₇₉	—	4	4	no	—
686	C₂×C₄×C₇₉	—	8	2	no	—
687	C₂×C₄×C₇₉	—	8	2	no	—
688	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
689	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
690	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
691	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
692	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
693	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
694	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
695	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
696	C₂×C₄×C₇₉	H(5,𝔽₂)	1	2	yes	—
697	C₂²×C₇₉	—	2	2	no	—
698	C₂²×C₇₉	—	2	2	no	—
699	C₂²×C₇₉	—	2	2	no	—
700	C₂²×C₇₉	—	2	2	no	—
701	C₂²×C₇₉	—	2	2	no	—
702	C₂²×C₇₉	—	2	2	no	—
703	C₂²×C₇₉	—	2	2	no	—
704	C₂²×C₇₉	—	2	2	no	—
705	C₂²×C₇₉	—	2	2	no	—
706	C₂²×C₇₉	—	2	2	no	—
707	C₂²×C₇₉	—	2	2	no	—
708	C₂²×C₇₉	—	2	2	no	—
709	C₂²×C₇₉	—	4	16	no	—
710	C₂²×C₇₉	—	4	1	no	—
711	C₂²×C₇₉	—	4	1	no	—
712	C₂²×C₇₉	—	4	1	no	—
713	C₂²×C₇₉	—	4	1	no	—
714	C₂²×C₇₉	—	4	1	no	—
715	C₂²×C₇₉	—	4	1	no	—
716	C₂²×C₇₉	—	4	1	no	—
717	C₂²×C₇₉	—	4	1	no	—
718	C₂²×C₇₉	—	4	1	no	—
719	C₂²×C₇₉	—	4	1	no	—
720	C₂²×C₇₉	—	4	1	no	—
721	C₂²×C₇₉	—	4	1	no	—
722	C₂²×C₇₉	—	4	1	no	—
723	C₂²×C₇₉	—	4	1	no	—
724	C₂²×C₇₉	—	4	1	no	—
725	C₂²×C₇₉	—	4	1	no	—
726	C₂²×C₇₉	—	4	1	no	—
727	C₂²×C₇₉	—	4	1	no	—
728	C₂²×C₇₉	—	4	1	no	—
729	C₂²×C₇₉	—	4	1	no	—
730	C₂²×C₇₉	—	4	1	no	—
731	C₂²×C₇₉	—	4	1	no	—
732	C₂²×C₇₉	#559	1	4	yes	—
733	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
734	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
735	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
736	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
737	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
738	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
739	C₂²×C₇₉	#585	1	1	yes	characteristic
740	C₄×C₇₉	—	2	2	no	—
741	C₄×C₇₉	—	2	2	no	—
742	C₄×C₇₉	—	2	2	no	—
743	C₄×C₇₉	—	2	2	no	—
744	C₄×C₇₉	—	2	2	no	—
745	C₄×C₇₉	—	2	2	no	—
746	C₄×C₇₉	—	2	2	no	—
747	C₄×C₇₉	—	2	2	no	—
748	C₄×C₇₉	—	2	2	no	—
749	C₄×C₇₉	—	4	1	no	—
750	C₄×C₇₉	—	4	1	no	—
751	C₄×C₇₉	—	4	1	no	—
752	C₄×C₇₉	—	4	1	no	—
753	C₄×C₇₉	—	4	1	no	—
754	C₄×C₇₉	—	4	1	no	—
755	C₄×C₇₉	—	4	1	no	—
756	C₄×C₇₉	—	4	1	no	—
757	C₄×C₇₉	—	4	1	no	—
758	C₄×C₇₉	—	4	1	no	—
759	C₄×C₇₉	—	4	1	no	—
760	C₄×C₇₉	—	4	1	no	—
761	C₄×C₇₉	—	4	1	no	—
762	C₄×C₇₉	—	4	1	no	—
763	C₄×C₇₉	—	4	1	no	—
764	C₄×C₇₉	—	4	1	no	—
765	C₄×C₇₉	—	4	1	no	—
766	#36521	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
767	C₂×C₇₉	—	2	4	no	—
768	C₂×C₇₉	—	4	2	no	—
769	C₂×C₇₉	—	4	2	no	—
770	C₂×C₇₉	—	8	1	no	—
771	C₂×C₇₉	—	8	1	no	—
772	C₂×C₇₉	#3444	1	1	yes	characteristic
773	C₂×C₇₉	#3475	1	1	yes	characteristic
774	C₂×C₇₉	C₂×#559	1	1	yes	characteristic
775	C₂×C₇₉	#3481	1	1	yes	characteristic
776	C₂×C₇₉	#3490	1	1	yes	characteristic
777	C₂×C₇₉	#3505	1	1	yes	characteristic
778	C₂×C₇₉	#3513	1	1	yes	characteristic
779	#2853	C₂×C₇₉	1	1	yes	characteristic, complemented
780	#2850	C₂×C₇₉	1	1	yes	characteristic, complemented
781	#2849	C₂×C₇₉	1	1	yes	characteristic, complemented
782	#2607	C₂×C₇₉	1	1	yes	characteristic, complemented
783	#2602	C₂×C₇₉	1	1	yes	characteristic, complemented
784	#2597	C₂×C₇₉	1	1	yes	characteristic, complemented
785	#2595	C₂×C₇₉	1	1	yes	characteristic, complemented
786	#2589	C₂×C₇₉	1	1	yes	characteristic, complemented
787	#2575	C₂×C₇₉	1	1	yes	characteristic, complemented
788	#2561	C₂×C₇₉	1	1	yes	characteristic, complemented
789	#2557	C₂×C₇₉	1	1	yes	characteristic, complemented
790	#2557	C₂×C₇₉	1	1	yes	characteristic, complemented
791	#2539	C₂×C₇₉	1	1	yes	characteristic
792	#2517	C₂×C₇₉	1	1	yes	characteristic, complemented
793	#2516	C₂×C₇₉	1	1	yes	characteristic, complemented
794	#2488	C₂×C₇₉	1	1	yes	characteristic, complemented
795	#2472	C₂×C₇₉	1	1	yes	characteristic, complemented
796	#2459	C₂×C₇₉	1	1	yes	characteristic, complemented
797	#2458	C₂×C₇₉	1	1	yes	characteristic, complemented
798	#2419	C₂×C₇₉	1	1	yes	characteristic, complemented
799	#2418	C₂×C₇₉	1	1	yes	characteristic, complemented
800	#2374	C₂×C₇₉	1	1	yes	characteristic, complemented
801	#2374	C₂×C₇₉	1	1	yes	characteristic, complemented
802	#2368	C₂×C₇₉	1	1	yes	characteristic, complemented
803	#2367	C₂×C₇₉	1	1	yes	characteristic, complemented
804	#2364	C₂×C₇₉	1	1	yes	characteristic, complemented
805	#2357	C₂×C₇₉	1	1	yes	characteristic, complemented
806	C₄×C₂²⋊Q₈	C₂×C₇₉	1	1	yes	characteristic, complemented
807	C₄×#123	C₂×C₇₉	1	1	yes	characteristic, complemented
808	C₄×#120	C₂×C₇₉	1	1	yes	characteristic, complemented
809	C₂×C₄×C₂²⋊C₄	C₂×C₇₉	1	1	yes	characteristic, complemented
810	C₇₉	#36521	1	1	yes	characteristic, direct product factor, Sylow
811	C₂⁴×C₄	C₂²×C₇₉	1	1	yes	characteristic
812	C₂×#124	C₂²×C₇₉	1	1	yes	characteristic
813	C₂×#124	C₂²×C₇₉	1	1	yes	characteristic, complemented
814	C₂×#123	C₂²×C₇₉	1	1	yes	characteristic
815	C₂×#123	C₂²×C₇₉	1	1	yes	characteristic
816	C₂×#123	C₂²×C₇₉	1	1	yes	characteristic
817	C₂×#123	C₂²×C₇₉	1	1	yes	characteristic
818	C₂×#123	C₂²×C₇₉	1	1	yes	characteristic
819	C₂×C₂²⋊Q₈	C₂²×C₇₉	1	1	yes	characteristic
820	C₂×C₂²⋊Q₈	C₂²×C₇₉	1	1	yes	characteristic
821	C₂×#121	C₂²×C₇₉	1	1	yes	characteristic
822	C₂×#120	C₂²×C₇₉	1	1	yes	characteristic
823	C₂×#120	C₂²×C₇₉	1	1	yes	characteristic
824	C₂×C₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic, complemented
825	C₂×C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
826	C₂×C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
827	C₂×C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
828	C₂×C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
829	C₂²×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
830	C₂²×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
831	C₂²×C₄²	C₂²×C₇₉	1	1	yes	characteristic
832	C₂²×C₄²	C₂²×C₇₉	1	1	yes	characteristic
833	#400	C₂²×C₇₉	1	1	yes	characteristic, complemented
834	#400	C₂²×C₇₉	1	1	yes	characteristic, complemented
835	#400	C₂²×C₇₉	1	1	yes	characteristic, complemented
836	#399	C₂²×C₇₉	1	1	yes	characteristic
837	#399	C₂²×C₇₉	1	1	yes	characteristic
838	#399	C₂²×C₇₉	1	1	yes	characteristic
839	#398	C₂²×C₇₉	1	1	yes	characteristic, complemented
840	#397	C₂²×C₇₉	1	1	yes	characteristic
841	#397	C₂²×C₇₉	1	1	yes	characteristic
842	#397	C₂²×C₇₉	1	1	yes	characteristic
843	#397	C₂²×C₇₉	1	1	yes	characteristic
844	#397	C₂²×C₇₉	1	1	yes	characteristic, complemented
845	#397	C₂²×C₇₉	1	1	yes	characteristic, complemented
846	#397	C₂²×C₇₉	1	1	yes	characteristic, complemented
847	#394	C₂²×C₇₉	1	1	yes	characteristic
848	#394	C₂²×C₇₉	1	1	yes	characteristic
849	#394	C₂²×C₇₉	1	1	yes	characteristic
850	#394	C₂²×C₇₉	1	1	yes	characteristic
851	#393	C₂²×C₇₉	1	1	yes	characteristic
852	#393	C₂²×C₇₉	1	1	yes	characteristic
853	#393	C₂²×C₇₉	1	1	yes	characteristic
854	#393	C₂²×C₇₉	1	1	yes	characteristic, complemented
855	#392	C₂²×C₇₉	1	1	yes	characteristic
856	#392	C₂²×C₇₉	1	1	yes	characteristic
857	#391	C₂²×C₇₉	1	1	yes	characteristic, complemented
858	#391	C₂²×C₇₉	1	1	yes	characteristic, complemented
859	#391	C₂²×C₇₉	1	1	yes	characteristic, complemented
860	#391	C₂²×C₇₉	1	1	yes	characteristic, complemented
861	#391	C₂²×C₇₉	1	1	yes	characteristic, complemented
862	#390	C₂²×C₇₉	1	1	yes	characteristic
863	#390	C₂²×C₇₉	1	1	yes	characteristic
864	#390	C₂²×C₇₉	1	1	yes	characteristic
865	#390	C₂²×C₇₉	1	1	yes	characteristic
866	#390	C₂²×C₇₉	1	1	yes	characteristic
867	#390	C₂²×C₇₉	1	1	yes	characteristic, complemented
868	#389	C₂²×C₇₉	1	1	yes	characteristic, complemented
869	#388	C₂²×C₇₉	1	1	yes	characteristic
870	#388	C₂²×C₇₉	1	1	yes	characteristic
871	#388	C₂²×C₇₉	1	1	yes	characteristic
872	#388	C₂²×C₇₉	1	1	yes	characteristic
873	#388	C₂²×C₇₉	1	1	yes	characteristic
874	#388	C₂²×C₇₉	1	1	yes	characteristic
875	#388	C₂²×C₇₉	1	1	yes	characteristic
876	#388	C₂²×C₇₉	1	1	yes	characteristic
877	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
878	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
879	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
880	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
881	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
882	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
883	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
884	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
885	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
886	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
887	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
888	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
889	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
890	#388	C₂²×C₇₉	1	1	yes	characteristic, complemented
891	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
892	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
893	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
894	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
895	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
896	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
897	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
898	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
899	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
900	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
901	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
902	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
903	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
904	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
905	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
906	#387	C₂²×C₇₉	1	1	yes	characteristic, complemented
907	#386	C₂²×C₇₉	1	1	yes	characteristic
908	#386	C₂²×C₇₉	1	1	yes	characteristic
909	#386	C₂²×C₇₉	1	1	yes	characteristic
910	#386	C₂²×C₇₉	1	1	yes	characteristic
911	#386	C₂²×C₇₉	1	1	yes	characteristic
912	#386	C₂²×C₇₉	1	1	yes	characteristic
913	#386	C₂²×C₇₉	1	1	yes	characteristic
914	#386	C₂²×C₇₉	1	1	yes	characteristic
915	#386	C₂²×C₇₉	1	1	yes	characteristic
916	#386	C₂²×C₇₉	1	1	yes	characteristic
917	#386	C₂²×C₇₉	1	1	yes	characteristic
918	#386	C₂²×C₇₉	1	1	yes	characteristic, complemented
919	#386	C₂²×C₇₉	1	1	yes	characteristic, complemented
920	#385	C₂²×C₇₉	1	1	yes	characteristic
921	#385	C₂²×C₇₉	1	1	yes	characteristic
922	#385	C₂²×C₇₉	1	1	yes	characteristic
923	#385	C₂²×C₇₉	1	1	yes	characteristic
924	#385	C₂²×C₇₉	1	1	yes	characteristic
925	#385	C₂²×C₇₉	1	1	yes	characteristic
926	#385	C₂²×C₇₉	1	1	yes	characteristic
927	#385	C₂²×C₇₉	1	1	yes	characteristic
928	#385	C₂²×C₇₉	1	1	yes	characteristic, complemented
929	#382	C₂²×C₇₉	1	1	yes	characteristic, complemented
930	#382	C₂²×C₇₉	1	1	yes	characteristic, complemented
931	#381	C₂²×C₇₉	1	1	yes	characteristic
932	#381	C₂²×C₇₉	1	1	yes	characteristic
933	#381	C₂²×C₇₉	1	1	yes	characteristic
934	#381	C₂²×C₇₉	1	1	yes	characteristic
935	#381	C₂²×C₇₉	1	1	yes	characteristic, complemented
936	#380	C₂²×C₇₉	1	1	yes	characteristic
937	#379	C₂²×C₇₉	1	1	yes	characteristic
938	#379	C₂²×C₇₉	1	1	yes	characteristic
939	C₄×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
940	C₄×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
941	C₄×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
942	C₄×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
943	C₄×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
944	C₄×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
945	C₄×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
946	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
947	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
948	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
949	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
950	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
951	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
952	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
953	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
954	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
955	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
956	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
957	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
958	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
959	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
960	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
961	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
962	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
963	C₄×C₂²⋊C₄	C₂²×C₇₉	1	1	yes	characteristic, complemented
964	C₂×#95	C₂²×C₇₉	1	1	yes	characteristic
965	C₂×#95	C₂²×C₇₉	1	1	yes	characteristic
966	C₂⁵	C₂³×C₇₉	1	1	yes	characteristic
967	C₂²×Q₈	C₂³×C₇₉	1	1	yes	characteristic
968	C₂²×Q₈	C₂³×C₇₉	1	1	yes	characteristic
969	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
970	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
971	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
972	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
973	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
974	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
975	C₂²×D₄	C₂³×C₇₉	1	1	yes	characteristic
976	C₂³×C₄	—	2	4	no	—
977	C₂³×C₄	—	4	2	no	—
978	C₂³×C₄	—	4	2	no	—
979	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
980	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
981	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
982	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
983	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
984	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
985	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
986	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
987	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
988	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
989	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
990	C₂³×C₄	C₂³×C₇₉	1	1	yes	characteristic
991	#124	—	2	4	no	—
992	#124	—	4	2	no	—
993	#123	—	2	4	no	—
994	#123	—	2	4	no	—
995	#123	—	2	4	no	—
996	#123	—	4	2	no	—
997	#123	—	4	2	no	—
998	C₂²⋊Q₈	—	2	4	no	—
999	C₂²⋊Q₈	—	2	4	no	—
1000	#121	—	2	4	no	—
1001	#120	—	2	4	no	—
1002	#120	—	4	2	no	—
1003	C₄×Q₈	—	4	2	no	—
1004	C₄×D₄	—	2	4	no	—
1005	C₄×D₄	—	4	2	no	—
1006	C₄×D₄	—	4	2	no	—
1007	C₄×D₄	—	4	2	no	—
1008	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	—	2	4	no	—
1032	C₂×C₂²⋊C₄	—	2	4	no	—
1033	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
1079	C₂×C₄²	—	4	2	no	—
1080	C₂×C₄²	—	4	2	no	—
1081	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1082	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1083	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1084	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1085	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1086	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1087	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1088	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1089	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1090	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1091	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1092	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1093	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1094	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1095	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1096	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1097	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1098	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
1099	#95	C₂³×C₇₉	1	1	yes	characteristic
1100	#95	C₂³×C₇₉	1	1	yes	characteristic
1101	#95	C₂³×C₇₉	1	1	yes	characteristic
1102	#95	C₂³×C₇₉	1	1	yes	characteristic
1103	#95	C₂³×C₇₉	1	1	yes	characteristic
1104	#95	C₂³×C₇₉	1	1	yes	characteristic
1105	#95	C₂³×C₇₉	1	1	yes	characteristic
1106	#95	C₂³×C₇₉	1	1	yes	characteristic
1107	#95	C₂³×C₇₉	1	1	yes	characteristic
1108	#95	C₂³×C₇₉	1	1	yes	characteristic
1109	#95	C₂³×C₇₉	1	1	yes	characteristic
1110	#95	C₂³×C₇₉	1	1	yes	characteristic
1111	#95	C₂³×C₇₉	1	1	yes	characteristic
1112	#95	C₂³×C₇₉	1	1	yes	characteristic
1113	#95	C₂³×C₇₉	1	1	yes	characteristic
1114	#95	C₂³×C₇₉	1	1	yes	characteristic
1115	#95	C₂³×C₇₉	1	1	yes	characteristic
1116	#95	C₂³×C₇₉	1	1	yes	characteristic
1117	#95	C₂³×C₇₉	1	1	yes	characteristic
1118	#95	C₂³×C₇₉	1	1	yes	characteristic
1119	#95	C₂³×C₇₉	1	1	yes	characteristic
1120	#95	C₂³×C₇₉	1	1	yes	characteristic
1121	#95	C₂³×C₇₉	1	1	yes	characteristic
1122	#95	C₂³×C₇₉	1	1	yes	characteristic
1123	#95	C₂³×C₇₉	1	1	yes	characteristic
1124	#95	C₂³×C₇₉	1	1	yes	characteristic
1125	#95	C₂³×C₇₉	1	1	yes	characteristic
1126	#95	C₂³×C₇₉	1	1	yes	characteristic
1127	#95	C₂³×C₇₉	1	1	yes	characteristic
1128	#95	C₂³×C₇₉	1	1	yes	characteristic
1129	#95	C₂³×C₇₉	1	1	yes	characteristic
1130	#95	C₂³×C₇₉	1	1	yes	characteristic
1131	#95	C₂³×C₇₉	1	1	yes	characteristic
1132	#95	C₂³×C₇₉	1	1	yes	characteristic
1133	#95	C₂³×C₇₉	1	1	yes	characteristic
1134	#95	C₂³×C₇₉	1	1	yes	characteristic
1135	#95	C₂³×C₇₉	1	1	yes	characteristic
1136	#95	C₂³×C₇₉	1	1	yes	characteristic
1137	#95	C₂³×C₇₉	1	1	yes	characteristic
1138	#95	C₂³×C₇₉	1	1	yes	characteristic
1139	#95	C₂³×C₇₉	1	1	yes	characteristic
1140	#95	C₂³×C₇₉	1	1	yes	characteristic
1141	#95	C₂³×C₇₉	1	1	yes	characteristic
1142	#95	C₂³×C₇₉	1	1	yes	characteristic
1143	#95	C₂³×C₇₉	1	1	yes	characteristic
1144	#95	C₂³×C₇₉	1	1	yes	characteristic
1145	C₂⁴	—	2	2	no	—
1146	C₂⁴	—	2	2	no	—
1147	C₂⁴	—	2	2	no	—
1148	C₂⁴	—	2	2	no	—
1149	C₂⁴	—	2	2	no	—
1150	C₂⁴	—	4	1	no	—
1151	C₂⁴	—	4	1	no	—
1152	C₂⁴	C₂⁴×C₇₉	1	1	yes	characteristic
1153	C₂⁴	C₂⁴×C₇₉	1	1	yes	characteristic
1154	C₂⁴	C₂⁴×C₇₉	1	1	yes	characteristic
1155	C₂⁴	C₂⁴×C₇₉	1	1	yes	characteristic
1156	C₂⁴	C₂⁴×C₇₉	1	1	yes	characteristic
1157	C₂×Q₈	—	2	2	no	—
1158	C₂×Q₈	—	2	2	no	—
1159	C₂×Q₈	—	2	2	no	—
1160	C₂×Q₈	—	4	1	no	—
1161	C₂×Q₈	—	4	1	no	—
1162	C₂×Q₈	—	4	1	no	—
1163	C₂×D₄	—	2	2	no	—
1164	C₂×D₄	—	2	2	no	—
1165	C₂×D₄	—	2	2	no	—
1166	C₂×D₄	—	2	2	no	—
1167	C₂×D₄	—	2	2	no	—
1168	C₂×D₄	—	2	2	no	—
1169	C₂×D₄	—	2	2	no	—
1170	C₂×D₄	—	2	2	no	—
1171	C₂×D₄	—	2	2	no	—
1172	C₂×D₄	—	2	2	no	—
1173	C₂×D₄	—	2	2	no	—
1174	C₂×D₄	—	2	2	no	—
1175	C₂×D₄	—	2	2	no	—
1176	C₂×D₄	—	4	1	no	—
1177	C₂×D₄	—	4	1	no	—
1178	C₂×D₄	—	4	1	no	—
1179	C₂×D₄	—	4	1	no	—
1180	C₂×D₄	—	4	1	no	—
1181	C₂×D₄	—	4	1	no	—
1182	C₂×D₄	—	4	1	no	—
1183	C₂×D₄	—	4	1	no	—
1184	C₂²×C₄	—	2	2	no	—
1185	C₂²×C₄	—	2	2	no	—
1186	C₂²×C₄	—	2	2	no	—
1187	C₂²×C₄	—	2	2	no	—
1188	C₂²×C₄	—	2	2	no	—
1189	C₂²×C₄	—	2	2	no	—
1190	C₂²×C₄	—	2	2	no	—
1191	C₂²×C₄	—	2	2	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	2	2	no	—
1195	C₂²×C₄	—	2	2	no	—
1196	C₂²×C₄	—	2	2	no	—
1197	C₂²×C₄	—	2	2	no	—
1198	C₂²×C₄	—	2	2	no	—
1199	C₂²×C₄	—	2	2	no	—
1200	C₂²×C₄	—	2	2	no	—
1201	C₂²×C₄	—	2	2	no	—
1202	C₂²×C₄	—	2	2	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	4	1	no	—
1206	C₂²×C₄	—	4	1	no	—
1207	C₂²×C₄	—	4	1	no	—
1208	C₂²×C₄	—	4	1	no	—
1209	C₂²×C₄	—	4	1	no	—
1210	C₂²×C₄	—	4	1	no	—
1211	C₂²×C₄	—	4	1	no	—
1212	C₂²×C₄	—	4	1	no	—
1213	C₂²×C₄	—	4	1	no	—
1214	C₂²×C₄	—	4	1	no	—
1215	C₂²×C₄	—	4	1	no	—
1216	C₂²×C₄	—	4	1	no	—
1217	C₂²×C₄	—	4	1	no	—
1218	C₂²×C₄	—	4	16	no	—
1219	C₂²×C₄	#41×C₇₉	1	4	yes	—
1220	C₂²×C₄	#41×C₇₉	1	4	yes	—
1221	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1222	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1223	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1224	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1225	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1226	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1227	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1228	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1229	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1230	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1231	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1232	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1233	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1234	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1235	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1237	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1238	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1246	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	2	2	no	—
1251	C₄⋊C₄	—	2	2	no	—
1252	C₄⋊C₄	—	2	2	no	—
1253	C₄⋊C₄	—	2	2	no	—
1254	C₄⋊C₄	—	2	2	no	—
1255	C₄⋊C₄	—	2	2	no	—
1256	C₄⋊C₄	—	2	2	no	—
1257	C₄⋊C₄	—	2	2	no	—
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	4	1	no	—
1264	C₄⋊C₄	—	4	1	no	—
1265	C₄⋊C₄	—	4	1	no	—
1266	C₄⋊C₄	—	4	1	no	—
1267	C₄⋊C₄	—	4	1	no	—
1268	C₄⋊C₄	—	4	1	no	—
1269	C₄⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	2	2	no	—
1271	C₂²⋊C₄	—	2	2	no	—
1272	C₂²⋊C₄	—	2	2	no	—
1273	C₂²⋊C₄	—	2	2	no	—
1274	C₂²⋊C₄	—	2	2	no	—
1275	C₂²⋊C₄	—	2	2	no	—
1276	C₂²⋊C₄	—	2	2	no	—
1277	C₂²⋊C₄	—	2	2	no	—
1278	C₂²⋊C₄	—	2	2	no	—
1279	C₂²⋊C₄	—	2	2	no	—
1280	C₂²⋊C₄	—	2	2	no	—
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	2	2	no	—
1289	C₂²⋊C₄	—	2	2	no	—
1290	C₂²⋊C₄	—	2	2	no	—
1291	C₂²⋊C₄	—	2	2	no	—
1292	C₂²⋊C₄	—	2	2	no	—
1293	C₂²⋊C₄	—	2	2	no	—
1294	C₂²⋊C₄	—	2	2	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	2	2	no	—
1299	C₂²⋊C₄	—	2	2	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	—	4	1	no	—
1308	C₂²⋊C₄	—	4	1	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	4	1	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	#41×C₇₉	1	4	yes	—
1315	C₂²⋊C₄	#41×C₇₉	1	4	yes	—
1316	C₄²	—	2	2	no	—
1317	C₄²	—	2	2	no	—
1318	C₄²	—	2	2	no	—
1319	C₄²	—	2	2	no	—
1320	C₄²	—	4	1	no	—
1321	C₄²	—	4	1	no	—
1322	C₄²	—	4	1	no	—
1323	C₄²	—	4	1	no	—
1324	C₄²	—	4	1	no	—
1325	C₄²	—	4	1	no	—
1326	C₄²	—	4	1	no	—
1327	C₄²	—	4	1	no	—
1328	C₄²	—	4	1	no	—
1329	C₄²	—	4	1	no	—
1330	C₄²	—	4	1	no	—
1331	C₄²	—	4	1	no	—
1332	C₄²	—	4	1	no	—
1333	C₄²	—	4	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	8	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	2	1	no	—
1342	C₂³	—	2	1	no	—
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	4	4	no	—
1366	C₂³	—	4	4	no	—
1367	C₂³	—	4	4	no	—
1368	C₂³	—	4	4	no	—
1369	C₂³	—	4	4	no	—
1370	C₂³	—	4	4	no	—
1371	C₂³	C₂×#41×C₇₉	1	2	yes	—
1372	C₂³	C₂×#41×C₇₉	1	2	yes	—
1373	C₂³	C₂×#41×C₇₉	1	2	yes	—
1374	C₂³	C₂×#41×C₇₉	1	2	yes	—
1375	C₂³	H(5,𝔽₂)×C₇₉	1	2	yes	—
1376	C₂³	C₂⁵×C₇₉	1	1	yes	characteristic
1377	Q₈	—	4	4	no	—
1378	Q₈	—	8	2	no	—
1379	D₄	—	4	4	no	—
1380	D₄	—	4	4	no	—
1381	D₄	—	4	4	no	—
1382	D₄	—	4	4	no	—
1383	D₄	—	8	2	no	—
1384	D₄	—	8	2	no	—
1385	D₄	—	8	2	no	—
1386	C₂×C₄	—	2	8	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	4	4	no	—
1457	C₂×C₄	—	4	4	no	—
1458	C₂×C₄	—	4	4	no	—
1459	C₂×C₄	—	4	4	no	—
1460	C₂×C₄	—	4	4	no	—
1461	C₂×C₄	—	4	4	no	—
1462	C₂×C₄	—	4	4	no	—
1463	C₂×C₄	—	4	4	no	—
1464	C₂×C₄	—	4	4	no	—
1465	C₂×C₄	—	8	2	no	—
1466	C₂×C₄	—	8	2	no	—
1467	C₂×C₄	C₂×#41×C₇₉	1	2	yes	—
1468	C₂×C₄	C₂×#41×C₇₉	1	2	yes	—
1469	C₂×C₄	C₂×#41×C₇₉	1	2	yes	—
1470	C₂×C₄	C₂×#41×C₇₉	1	2	yes	—
1471	C₂×C₄	C₂×#41×C₇₉	1	2	yes	—
1472	C₂×C₄	C₂×#41×C₇₉	1	2	yes	—
1473	C₂×C₄	C₂×#41×C₇₉	1	2	yes	—
1474	C₂×C₄	C₂×#41×C₇₉	1	2	yes	—
1475	C₂×C₄	H(5,𝔽₂)×C₇₉	1	2	yes	—
1476	C₂²	—	2	2	no	—
1477	C₂²	—	2	2	no	—
1478	C₂²	—	2	2	no	—
1479	C₂²	—	2	2	no	—
1480	C₂²	—	2	2	no	—
1481	C₂²	—	2	2	no	—
1482	C₂²	—	2	2	no	—
1483	C₂²	—	2	2	no	—
1484	C₂²	—	2	2	no	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	4	16	no	—
1489	C₂²	—	4	1	no	—
1490	C₂²	—	4	1	no	—
1491	C₂²	—	4	1	no	—
1492	C₂²	—	4	1	no	—
1493	C₂²	—	4	1	no	—
1494	C₂²	—	4	1	no	—
1495	C₂²	—	4	1	no	—
1496	C₂²	—	4	1	no	—
1497	C₂²	—	4	1	no	—
1498	C₂²	—	4	1	no	—
1499	C₂²	—	4	1	no	—
1500	C₂²	—	4	1	no	—
1501	C₂²	—	4	1	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	#559×C₇₉	1	4	yes	—
1512	C₂²	C₂²×#41×C₇₉	1	1	yes	characteristic
1513	C₂²	C₂²×#41×C₇₉	1	1	yes	characteristic
1514	C₂²	C₂²×#41×C₇₉	1	1	yes	characteristic
1515	C₂²	C₂²×#41×C₇₉	1	1	yes	characteristic
1516	C₂²	C₂×H(5,𝔽₂)×C₇₉	1	1	yes	characteristic
1517	C₂²	C₂×H(5,𝔽₂)×C₇₉	1	1	yes	characteristic
1518	C₂²	#585×C₇₉	1	1	yes	characteristic
1519	C₄	—	2	2	no	—
1520	C₄	—	2	2	no	—
1521	C₄	—	2	2	no	—
1522	C₄	—	2	2	no	—
1523	C₄	—	2	2	no	—
1524	C₄	—	2	2	no	—
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	2	2	no	—
1528	C₄	—	4	1	no	—
1529	C₄	—	4	1	no	—
1530	C₄	—	4	1	no	—
1531	C₄	—	4	1	no	—
1532	C₄	—	4	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	4	1	no	—
1535	C₄	—	4	1	no	—
1536	C₄	—	4	1	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₂	—	2	4	no	—
1546	C₂	—	4	2	no	—
1547	C₂	—	4	2	no	—
1548	C₂	—	8	1	no	—
1549	C₂	—	8	1	no	—
1550	C₂	C₇₉×#3444	1	1	yes	characteristic
1551	C₂	C₇₉×#3475	1	1	yes	characteristic
1552	C₂	C₂×#559×C₇₉	1	1	yes	characteristic
1553	C₂	C₇₉×#3481	1	1	yes	characteristic
1554	C₂	C₇₉×#3490	1	1	yes	characteristic
1555	C₂	C₇₉×#3505	1	1	yes	characteristic
1556	C₂	C₇₉×#3513	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₉
prime radical	C₇₉×#2539	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₇₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇₉×#2853	C₂	semidirect
2. C₇₉×#2850	C₂	semidirect
3. C₇₉×#2849	C₂	semidirect
4. C₇₉×#2607	C₂	semidirect
5. C₇₉×#2602	C₂	semidirect
6. C₇₉×#2597	C₂	semidirect
7. C₇₉×#2595	C₂	semidirect
8. C₇₉×#2589	C₂	semidirect
9. C₇₉×#2575	C₂	semidirect
10. C₇₉×#2561	C₂	semidirect
11. C₇₉×#2557	C₂	semidirect
12. C₇₉×#2557	C₂	semidirect
14. C₇₉×#2517	C₂	semidirect
15. C₇₉×#2516	C₂	semidirect
16. C₇₉×#2488	C₂	semidirect
17. C₇₉×#2472	C₂	semidirect
18. C₇₉×#2459	C₂	semidirect
19. C₇₉×#2458	C₂	semidirect
20. C₇₉×#2419	C₂	semidirect
21. C₇₉×#2418	C₂	semidirect
22. C₇₉×#2374	C₂	semidirect
23. C₇₉×#2374	C₂	semidirect
24. C₇₉×#2368	C₂	semidirect
25. C₇₉×#2367	C₂	semidirect
26. C₇₉×#2364	C₂	semidirect
27. C₇₉×#2357	C₂	semidirect
28. C₄×C₂²⋊Q₈×C₇₉	C₂	semidirect
29. C₄×#123×C₇₉	C₂	semidirect
30. C₄×#120×C₇₉	C₂	semidirect
31. C₂×C₄×C₂²⋊C₄×C₇₉	C₂	semidirect
34. C₂×#124×C₇₉	C₂²	semidirect
45. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
54. #400×C₇₉	C₂²	semidirect
55. #400×C₇₉	C₂²	semidirect
56. #400×C₇₉	C₂²	semidirect
60. #398×C₇₉	C₂²	semidirect
65. #397×C₇₉	C₂²	semidirect
66. #397×C₇₉	C₂²	semidirect
67. #397×C₇₉	C₂²	semidirect
75. #393×C₇₉	C₂²	semidirect
78. #391×C₇₉	C₂²	semidirect
79. #391×C₇₉	C₂²	semidirect
80. #391×C₇₉	C₂²	semidirect
81. #391×C₇₉	C₂²	semidirect
82. #391×C₇₉	C₂²	semidirect
88. #390×C₇₉	C₂²	semidirect
89. #389×C₇₉	C₂²	semidirect
98. #388×C₇₉	C₂²	semidirect
99. #388×C₇₉	C₂²	semidirect
100. #388×C₇₉	C₂²	semidirect
101. #388×C₇₉	C₂²	semidirect
102. #388×C₇₉	C₂²	semidirect
103. #388×C₇₉	C₂²	semidirect
104. #388×C₇₉	C₂²	semidirect
105. #388×C₇₉	C₂²	semidirect
106. #388×C₇₉	C₂²	semidirect
107. #388×C₇₉	C₂²	semidirect
108. #388×C₇₉	C₂²	semidirect
109. #388×C₇₉	C₂²	semidirect
110. #388×C₇₉	C₂²	semidirect
111. #388×C₇₉	C₂²	semidirect
112. #387×C₇₉	C₂²	semidirect
113. #387×C₇₉	C₂²	semidirect
114. #387×C₇₉	C₂²	semidirect
115. #387×C₇₉	C₂²	semidirect
116. #387×C₇₉	C₂²	semidirect
117. #387×C₇₉	C₂²	semidirect
118. #387×C₇₉	C₂²	semidirect
119. #387×C₇₉	C₂²	semidirect
120. #387×C₇₉	C₂²	semidirect
121. #387×C₇₉	C₂²	semidirect
122. #387×C₇₉	C₂²	semidirect
123. #387×C₇₉	C₂²	semidirect
124. #387×C₇₉	C₂²	semidirect
125. #387×C₇₉	C₂²	semidirect
126. #387×C₇₉	C₂²	semidirect
127. #387×C₇₉	C₂²	semidirect
139. #386×C₇₉	C₂²	semidirect
140. #386×C₇₉	C₂²	semidirect
149. #385×C₇₉	C₂²	semidirect
150. #382×C₇₉	C₂²	semidirect
151. #382×C₇₉	C₂²	semidirect
156. #381×C₇₉	C₂²	semidirect
160. C₄×C₄⋊C₄×C₇₉	C₂²	semidirect
161. C₄×C₄⋊C₄×C₇₉	C₂²	semidirect
162. C₄×C₄⋊C₄×C₇₉	C₂²	semidirect
163. C₄×C₄⋊C₄×C₇₉	C₂²	semidirect
164. C₄×C₄⋊C₄×C₇₉	C₂²	semidirect
165. C₄×C₄⋊C₄×C₇₉	C₂²	semidirect
166. C₄×C₄⋊C₄×C₇₉	C₂²	semidirect
181. C₄×C₂²⋊C₄×C₇₉	C₂²	semidirect
182. C₄×C₂²⋊C₄×C₇₉	C₂²	semidirect
183. C₄×C₂²⋊C₄×C₇₉	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₇₉	C₂²	semidirect
766. #36521	C₇₉	direct (N × H)
779. #2853	C₂×C₇₉	semidirect
780. #2850	C₂×C₇₉	semidirect
781. #2849	C₂×C₇₉	semidirect
782. #2607	C₂×C₇₉	semidirect
783. #2602	C₂×C₇₉	semidirect
784. #2597	C₂×C₇₉	semidirect
785. #2595	C₂×C₇₉	semidirect
786. #2589	C₂×C₇₉	semidirect
787. #2575	C₂×C₇₉	semidirect
788. #2561	C₂×C₇₉	semidirect
789. #2557	C₂×C₇₉	semidirect
790. #2557	C₂×C₇₉	semidirect
792. #2517	C₂×C₇₉	semidirect
793. #2516	C₂×C₇₉	semidirect
794. #2488	C₂×C₇₉	semidirect
795. #2472	C₂×C₇₉	semidirect
796. #2459	C₂×C₇₉	semidirect
797. #2458	C₂×C₇₉	semidirect
798. #2419	C₂×C₇₉	semidirect
799. #2418	C₂×C₇₉	semidirect
800. #2374	C₂×C₇₉	semidirect
801. #2374	C₂×C₇₉	semidirect
802. #2368	C₂×C₇₉	semidirect
803. #2367	C₂×C₇₉	semidirect
804. #2364	C₂×C₇₉	semidirect
805. #2357	C₂×C₇₉	semidirect
806. C₄×C₂²⋊Q₈	C₂×C₇₉	semidirect
807. C₄×#123	C₂×C₇₉	semidirect
808. C₄×#120	C₂×C₇₉	semidirect
809. C₂×C₄×C₂²⋊C₄	C₂×C₇₉	semidirect
810. C₇₉	#36521	direct (N × H)
813. C₂×#124	C₂²×C₇₉	semidirect
824. C₂×C₄×Q₈	C₂²×C₇₉	semidirect
833. #400	C₂²×C₇₉	semidirect
834. #400	C₂²×C₇₉	semidirect
835. #400	C₂²×C₇₉	semidirect
839. #398	C₂²×C₇₉	semidirect
844. #397	C₂²×C₇₉	semidirect
845. #397	C₂²×C₇₉	semidirect
846. #397	C₂²×C₇₉	semidirect
854. #393	C₂²×C₇₉	semidirect
857. #391	C₂²×C₇₉	semidirect
858. #391	C₂²×C₇₉	semidirect
859. #391	C₂²×C₇₉	semidirect
860. #391	C₂²×C₇₉	semidirect
861. #391	C₂²×C₇₉	semidirect
867. #390	C₂²×C₇₉	semidirect
868. #389	C₂²×C₇₉	semidirect
877. #388	C₂²×C₇₉	semidirect
878. #388	C₂²×C₇₉	semidirect
879. #388	C₂²×C₇₉	semidirect
880. #388	C₂²×C₇₉	semidirect
881. #388	C₂²×C₇₉	semidirect
882. #388	C₂²×C₇₉	semidirect
883. #388	C₂²×C₇₉	semidirect
884. #388	C₂²×C₇₉	semidirect
885. #388	C₂²×C₇₉	semidirect
886. #388	C₂²×C₇₉	semidirect
887. #388	C₂²×C₇₉	semidirect
888. #388	C₂²×C₇₉	semidirect
889. #388	C₂²×C₇₉	semidirect
890. #388	C₂²×C₇₉	semidirect
891. #387	C₂²×C₇₉	semidirect
892. #387	C₂²×C₇₉	semidirect
893. #387	C₂²×C₇₉	semidirect
894. #387	C₂²×C₇₉	semidirect
895. #387	C₂²×C₇₉	semidirect
896. #387	C₂²×C₇₉	semidirect
897. #387	C₂²×C₇₉	semidirect
898. #387	C₂²×C₇₉	semidirect
899. #387	C₂²×C₇₉	semidirect
900. #387	C₂²×C₇₉	semidirect
901. #387	C₂²×C₇₉	semidirect
902. #387	C₂²×C₇₉	semidirect
903. #387	C₂²×C₇₉	semidirect
904. #387	C₂²×C₇₉	semidirect
905. #387	C₂²×C₇₉	semidirect
906. #387	C₂²×C₇₉	semidirect
918. #386	C₂²×C₇₉	semidirect
919. #386	C₂²×C₇₉	semidirect
928. #385	C₂²×C₇₉	semidirect
929. #382	C₂²×C₇₉	semidirect
930. #382	C₂²×C₇₉	semidirect
935. #381	C₂²×C₇₉	semidirect
939. C₄×C₄⋊C₄	C₂²×C₇₉	semidirect
940. C₄×C₄⋊C₄	C₂²×C₇₉	semidirect
941. C₄×C₄⋊C₄	C₂²×C₇₉	semidirect
942. C₄×C₄⋊C₄	C₂²×C₇₉	semidirect
943. C₄×C₄⋊C₄	C₂²×C₇₉	semidirect
944. C₄×C₄⋊C₄	C₂²×C₇₉	semidirect
945. C₄×C₄⋊C₄	C₂²×C₇₉	semidirect
960. C₄×C₂²⋊C₄	C₂²×C₇₉	semidirect
961. C₄×C₂²⋊C₄	C₂²×C₇₉	semidirect
962. C₄×C₂²⋊C₄	C₂²×C₇₉	semidirect
963. C₄×C₂²⋊C₄	C₂²×C₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₇₉×#2853	2
C₇₉×#2850	2
C₇₉×#2849	2
C₇₉×#2607	2
C₇₉×#2602	2
C₇₉×#2597	2
C₇₉×#2595	2
C₇₉×#2589	2
C₇₉×#2575	2
C₇₉×#2561	2
C₇₉×#2557	2
C₇₉×#2539	2
C₇₉×#2517	2
C₇₉×#2516	2
C₇₉×#2488	2
C₇₉×#2472	2
C₇₉×#2459	2
C₇₉×#2458	2
C₇₉×#2419	2
C₇₉×#2418	2
C₇₉×#2374	2
C₇₉×#2368	2
C₇₉×#2367	2
C₇₉×#2364	2
C₇₉×#2357	2
C₄×C₂²⋊Q₈×C₇₉	2
C₄×#123×C₇₉	2
C₄×#120×C₇₉	2
C₂×C₄×C₂²⋊C₄×C₇₉	2
#36521	79

Subgroups — C79×#36521 #34148210

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#36521 #34148210