Subgroups — #34454006

Order 20224.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099239	C₂	1	1	yes	maximal, characteristic
2	#23766573	C₂	1	1	yes	maximal, characteristic, complemented
3	#23766546	C₂	1	1	yes	maximal, characteristic, complemented
4	#23766544	C₂	1	1	yes	maximal, characteristic, complemented
5	#23766539	C₂	1	1	yes	maximal, characteristic
6	#23766534	C₂	1	1	yes	maximal, characteristic, complemented
7	#23766521	C₂	1	1	yes	maximal, characteristic, complemented
8	#23766515	C₂	1	1	yes	maximal, characteristic, complemented
9	#23766427	C₂	1	1	yes	maximal, characteristic, complemented
10	#23766424	C₂	1	1	yes	maximal, characteristic, complemented
11	#23766370	C₂	1	1	yes	maximal, characteristic, complemented
12	#23766368	C₂	1	1	yes	maximal, characteristic, complemented
13	#23766283	C₂	1	1	yes	maximal, characteristic, complemented
14	#23766282	C₂	1	1	yes	maximal, characteristic, complemented
15	#23766245	C₂	1	1	yes	maximal, characteristic, complemented
16	#23766190	C₂	1	1	yes	maximal, characteristic, complemented
17	#23766183	C₂	1	1	yes	maximal, characteristic, complemented
18	#23766177	C₂	1	1	yes	maximal, characteristic, complemented
19	#23766176	C₂	1	1	yes	maximal, characteristic, complemented
20	#23766157	C₂	1	1	yes	maximal, characteristic, complemented
21	#23766153	C₂	1	1	yes	maximal, characteristic, complemented
22	#23766106	C₂	1	1	yes	maximal, characteristic, complemented
23	#23766058	C₂	1	1	yes	maximal, characteristic
24	#23766007	C₂	1	1	yes	maximal, characteristic, complemented
25	#23766004	C₂	1	1	yes	maximal, characteristic, complemented
26	#23765998	C₂	1	1	yes	maximal, characteristic, complemented
27	#23765996	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#14579143	C₂	1	1	yes	maximal, characteristic, complemented
29	#23765842	C₂	1	1	yes	maximal, characteristic, complemented
30	#23765837	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₉×#2342	C₂	1	1	yes	maximal, characteristic, complemented
32	#19099239	C₄	1	16	yes	complemented
33	C₂×#14579154	C₂²	1	1	yes	characteristic
34	C₂×#14579154	C₂²	1	1	yes	characteristic
35	C₂×#14579147	C₂²	1	1	yes	characteristic
36	C₂×#14579145	C₂²	1	1	yes	characteristic
37	C₂×#14579144	C₂²	1	1	yes	characteristic
38	C₂×#14579143	C₂²	1	1	yes	characteristic
39	C₂×#14579140	C₂²	1	1	yes	characteristic
40	C₂×#14579138	C₂²	1	1	yes	characteristic
41	C₂×#14579130	C₂²	1	1	yes	characteristic
42	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
45	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×#14579120	C₂²	1	1	yes	characteristic
47	C₂×#14579117	C₂²	1	1	yes	characteristic
48	C₂×#14579117	C₂²	1	1	yes	characteristic
49	C₂²×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic, complemented
51	#19098468	C₂²	1	1	yes	characteristic, complemented
52	#19098467	C₂²	1	1	yes	characteristic, complemented
53	#19098467	C₂²	1	1	yes	characteristic, complemented
54	#19098463	C₂²	1	1	yes	characteristic
55	#19098463	C₂²	1	1	yes	characteristic
56	#19098463	C₂²	1	1	yes	characteristic
57	#19098463	C₂²	1	1	yes	characteristic
58	#19098463	C₂²	1	1	yes	characteristic
59	#19098461	C₂²	1	1	yes	characteristic, complemented
60	#19098461	C₂²	1	1	yes	characteristic, complemented
61	#19098460	C₂²	1	1	yes	characteristic, complemented
62	#19098460	C₂²	1	1	yes	characteristic, complemented
63	#19098459	C₂²	1	1	yes	characteristic, complemented
64	#19098458	C₂²	1	1	yes	characteristic, complemented
65	#19098457	C₂²	1	1	yes	characteristic
66	#19098457	C₂²	1	1	yes	characteristic
67	#19098457	C₂²	1	1	yes	characteristic
68	#19098457	C₂²	1	1	yes	characteristic
69	#19098457	C₂²	1	1	yes	characteristic
70	#19098457	C₂²	1	1	yes	characteristic
71	#19098457	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	#19098457	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	#19098456	C₂²	1	1	yes	characteristic
80	#19098456	C₂²	1	1	yes	characteristic
81	#19098456	C₂²	1	1	yes	characteristic
82	#19098456	C₂²	1	1	yes	characteristic
83	#19098456	C₂²	1	1	yes	characteristic
84	#19098455	C₂²	1	1	yes	characteristic, complemented
85	#19098455	C₂²	1	1	yes	characteristic, complemented
86	#19098454	C₂²	1	1	yes	characteristic, complemented
87	#19098453	C₂²	1	1	yes	characteristic, complemented
88	#19098452	C₂²	1	1	yes	characteristic, complemented
89	#19098452	C₂²	1	1	yes	characteristic, complemented
90	#19098451	C₂²	1	1	yes	characteristic
91	#19098451	C₂²	1	1	yes	characteristic
92	#19098451	C₂²	1	1	yes	characteristic
93	#19098451	C₂²	1	1	yes	characteristic
94	#19098451	C₂²	1	1	yes	characteristic
95	#19098451	C₂²	1	1	yes	characteristic
96	#19098451	C₂²	1	1	yes	characteristic
97	#19098451	C₂²	1	1	yes	characteristic
98	#19098451	C₂²	1	1	yes	characteristic
99	#19098451	C₂²	1	1	yes	characteristic
100	#19098451	C₂²	1	1	yes	characteristic
101	#19098450	C₂²	1	1	yes	characteristic, complemented
102	#19098450	C₂²	1	1	yes	characteristic, complemented
103	#19098448	C₂²	1	1	yes	characteristic, complemented
104	#19098448	C₂²	1	1	yes	characteristic, complemented
105	#19098447	C₂²	1	1	yes	characteristic, complemented
106	#19098447	C₂²	1	1	yes	characteristic, complemented
107	#19098447	C₂²	1	1	yes	characteristic, complemented
108	#19098446	C₂²	1	1	yes	characteristic, complemented
109	#19098446	C₂²	1	1	yes	characteristic, complemented
110	#19098446	C₂²	1	1	yes	characteristic, complemented
111	#19098446	C₂²	1	1	yes	characteristic, complemented
112	#19098445	C₂²	1	1	yes	characteristic, complemented
113	#19098445	C₂²	1	1	yes	characteristic, complemented
114	#19098444	C₂²	1	1	yes	characteristic, complemented
115	#19098444	C₂²	1	1	yes	characteristic, complemented
116	#19098444	C₂²	1	1	yes	characteristic, complemented
117	#19098442	C₂²	1	1	yes	characteristic
118	#19098439	C₂²	1	1	yes	characteristic
119	#19098439	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, complemented
124	#19098437	C₂²	1	1	yes	characteristic, complemented
125	#19098436	C₂²	1	1	yes	characteristic
126	#19098436	C₂²	1	1	yes	characteristic
127	#19098436	C₂²	1	1	yes	characteristic
128	#19098434	C₂²	1	1	yes	characteristic, complemented
129	#19098434	C₂²	1	1	yes	characteristic, complemented
130	#19098434	C₂²	1	1	yes	characteristic, complemented
131	#19098432	C₂²	1	1	yes	characteristic, complemented
132	#19098428	C₂²	1	1	yes	characteristic, complemented
133	#19098427	C₂²	1	1	yes	characteristic, complemented
134	#19098427	C₂²	1	1	yes	characteristic, complemented
135	#19098427	C₂²	1	1	yes	characteristic, complemented
136	#19098425	C₂²	1	1	yes	characteristic, complemented
137	#19098424	C₂²	1	1	yes	characteristic
138	#19098423	C₂²	1	1	yes	characteristic
139	#19098423	C₂²	1	1	yes	characteristic
140	#19098421	C₂²	1	1	yes	characteristic
141	#19098421	C₂²	1	1	yes	characteristic
142	#19098421	C₂²	1	1	yes	characteristic
143	#19098419	C₂²	1	1	yes	characteristic
144	#19098419	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
146	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
147	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
148	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
150	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic, complemented
154	#19098414	C₂²	1	1	yes	characteristic, complemented
155	#19098414	C₂²	1	1	yes	characteristic, complemented
156	#19098414	C₂²	1	1	yes	characteristic, complemented
157	#19098414	C₂²	1	1	yes	characteristic, complemented
158	#19098414	C₂²	1	1	yes	characteristic, complemented
159	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
162	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
169	#19098410	C₂²	1	1	yes	characteristic, complemented
170	#19098409	C₂²	1	1	yes	characteristic, complemented
171	#19098408	C₂²	1	1	yes	characteristic, complemented
172	#19098408	C₂²	1	1	yes	characteristic, complemented
173	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic
174	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
175	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
176	#388×C₇₉	C₂²	1	1	yes	characteristic
177	#388×C₇₉	C₂²	1	1	yes	characteristic
178	#388×C₇₉	C₂²	1	1	yes	characteristic
179	#388×C₇₉	C₂²	1	1	yes	characteristic
180	#385×C₇₉	C₂²	1	1	yes	characteristic
181	#385×C₇₉	C₂²	1	1	yes	characteristic
182	#381×C₇₉	C₂²	1	1	yes	characteristic
183	#380×C₇₉	C₂²	1	1	yes	characteristic
184	#379×C₇₉	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×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	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
192	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
193	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
197	#14579154	C₂×C₄	1	8	yes	complemented
198	#14579154	C₂×C₄	1	8	yes	complemented
199	#14579147	C₂×C₄	1	8	yes	—
200	#14579145	C₂×C₄	1	8	yes	complemented
201	#14579144	C₂×C₄	1	8	yes	complemented
202	#14579143	C₂×C₄	1	8	yes	—
203	#14579140	C₂×C₄	1	8	yes	complemented
204	#14579138	C₂×C₄	1	8	yes	complemented
205	#14579130	C₂×C₄	1	8	yes	—
206	#14579126	—	4	2	no	—
207	C₄×C₂²⋊D₇₉	—	4	2	no	—
208	C₄×C₂²⋊D₇₉	C₂×C₄	1	8	yes	complemented
209	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	8	yes	complemented
210	#14579120	C₂×C₄	1	8	yes	complemented
211	#14579117	—	4	2	no	—
212	#14579117	C₂×C₄	1	8	yes	complemented
213	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
220	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×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×C₂²⋊Dic₇₉	C₂×C₄	1	8	yes	complemented
240	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₇₉	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×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₇₉	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×(C₂×D₇₉)⋊C₄	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	C₄²×D₇₉	—	4	2	no	—
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	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
328	C₂³×C₄×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	#117×C₇₉	—	4	2	no	—
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×C₂²⋊C₄×C₇₉	—	4	2	no	—
337	C₂×C₂²⋊C₄×C₇₉	C₂×C₄	1	8	yes	complemented
338	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊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×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
356	#95×C₇₉	C₂³	1	1	yes	characteristic
357	#95×C₇₉	C₂³	1	1	yes	characteristic
358	#95×C₇₉	C₂³	1	1	yes	characteristic
359	#95×C₇₉	C₂³	1	1	yes	characteristic
360	#95×C₇₉	C₂³	1	1	yes	characteristic
361	#95×C₇₉	C₂³	1	1	yes	characteristic
362	#95×C₇₉	C₂³	1	1	yes	characteristic
363	#95×C₇₉	C₂³	1	1	yes	characteristic
364	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	—	4	1	no	—
373	C₂×C₂²⋊D₇₉	—	4	1	no	—
374	C₂×C₂²⋊D₇₉	C₂²×C₄	1	4	yes	—
375	C₂×C₂²⋊D₇₉	C₂²×C₄	1	4	yes	—
376	C₂×C₂²⋊D₇₉	C₂²×C₄	1	4	yes	—
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	C₂²×C₄	1	4	yes	—
382	C₂²×Dic₇₉	C₂²×C₄	1	4	yes	—
383	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
388	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	C₂×C₄×D₇₉	—	2	2	no	—
399	C₂×C₄×D₇₉	—	4	1	no	—
400	C₂×C₄×D₇₉	—	4	1	no	—
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	C₂²×C₄	1	4	yes	—
407	C₄⋊Dic₇₉	—	4	1	no	—
408	C₄⋊Dic₇₉	—	4	1	no	—
409	C₄⋊Dic₇₉	—	4	1	no	—
410	C₄⋊Dic₇₉	—	4	1	no	—
411	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
412	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
413	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
414	Dic₇₉⋊C₄	—	2	2	no	—
415	Dic₇₉⋊C₄	—	4	1	no	—
416	Dic₇₉⋊C₄	—	4	1	no	—
417	Dic₇₉⋊C₄	—	4	1	no	—
418	Dic₇₉⋊C₄	—	4	1	no	—
419	Dic₇₉⋊C₄	—	4	1	no	—
420	Dic₇₉⋊C₄	—	4	1	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	C₂²×C₄	1	4	yes	—
429	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
430	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
431	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
432	Dic₇₉⋊C₄	C₂²×C₄	1	4	yes	—
433	C₂²⋊Dic₇₉	—	4	1	no	—
434	C₂²⋊Dic₇₉	—	4	1	no	—
435	C₂²⋊Dic₇₉	—	4	1	no	—
436	C₂²⋊Dic₇₉	—	4	1	no	—
437	C₂²⋊Dic₇₉	—	4	1	no	—
438	C₂²⋊Dic₇₉	—	4	1	no	—
439	C₂²⋊Dic₇₉	—	4	1	no	—
440	C₂²⋊Dic₇₉	—	4	1	no	—
441	C₂²⋊Dic₇₉	—	4	1	no	—
442	C₂²⋊Dic₇₉	—	4	1	no	—
443	C₂²⋊Dic₇₉	—	4	1	no	—
444	C₂²⋊Dic₇₉	—	4	1	no	—
445	C₂²⋊Dic₇₉	C₂²×C₄	1	4	yes	—
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	C₂²⋊Dic₇₉	C₂²×C₄	1	4	yes	—
450	C₂²⋊Dic₇₉	C₂²×C₄	1	4	yes	—
451	C₂²⋊Dic₇₉	C₂²×C₄	1	4	yes	—
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	—	4	1	no	—
456	(C₂×D₇₉)⋊C₄	—	4	1	no	—
457	(C₂×D₇₉)⋊C₄	—	4	1	no	—
458	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	4	yes	—
459	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	4	yes	—
460	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	4	yes	—
461	C₄×Dic₇₉	—	2	2	no	—
462	C₄×Dic₇₉	—	2	2	no	—
463	C₄×Dic₇₉	—	4	1	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	C₂²×C₄	1	4	yes	—
480	C₄×Dic₇₉	C₂²×C₄	1	4	yes	—
481	C₄×Dic₇₉	C₂²×C₄	1	4	yes	—
482	C₂⁴×C₇₉	—	4	1	no	—
483	C₂⁴×C₇₉	—	4	1	no	—
484	C₂⁴×C₇₉	—	4	1	no	—
485	C₂⁴×C₇₉	—	4	1	no	—
486	C₂⁴×C₇₉	—	4	1	no	—
487	C₂⁴×C₇₉	—	4	1	no	—
488	C₂⁴×C₇₉	C₂²×C₄	1	4	yes	—
489	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
490	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
491	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₇₉	—	2	2	no	—
493	C₂²×C₄×C₇₉	—	4	1	no	—
494	C₂²×C₄×C₇₉	—	4	1	no	—
495	C₂²×C₄×C₇₉	—	4	1	no	—
496	C₂²×C₄×C₇₉	—	4	1	no	—
497	C₂²×C₄×C₇₉	—	4	1	no	—
498	C₂²×C₄×C₇₉	—	4	1	no	—
499	C₂²×C₄×C₇₉	—	4	1	no	—
500	C₂²×C₄×C₇₉	—	4	1	no	—
501	C₂²×C₄×C₇₉	—	4	1	no	—
502	C₂²×C₄×C₇₉	C₂²×C₄	1	4	yes	—
503	C₂²×C₄×C₇₉	C₂²×C₄	1	4	yes	—
504	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
516	C₄⋊C₄×C₇₉	—	2	2	no	—
517	C₄⋊C₄×C₇₉	—	4	1	no	—
518	C₄⋊C₄×C₇₉	—	4	1	no	—
519	C₄⋊C₄×C₇₉	—	4	1	no	—
520	C₂²⋊C₄×C₇₉	—	2	2	no	—
521	C₂²⋊C₄×C₇₉	—	2	2	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	C₂²×C₄	1	4	yes	—
531	C₂²⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
532	C₂²⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
533	C₂²⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
534	C₄²×C₇₉	—	2	2	no	—
535	C₄²×C₇₉	—	4	1	no	—
536	C₄²×C₇₉	—	4	1	no	—
537	C₄²×C₇₉	—	4	1	no	—
538	C₂³×C₇₉	—	2	1	no	—
539	C₂³×C₇₉	—	2	1	no	—
540	C₂³×C₇₉	—	2	1	no	—
541	C₂³×C₇₉	—	2	1	no	—
542	C₂³×C₇₉	—	2	1	no	—
543	C₂³×C₇₉	—	2	1	no	—
544	C₂³×C₇₉	—	2	1	no	—
545	C₂³×C₇₉	—	2	1	no	—
546	C₂³×C₇₉	—	2	1	no	—
547	C₂³×C₇₉	—	2	1	no	—
548	C₂³×C₇₉	—	2	1	no	—
549	C₂³×C₇₉	—	2	1	no	—
550	C₂³×C₇₉	—	2	1	no	—
551	C₂³×C₇₉	—	2	1	no	—
552	C₂³×C₇₉	—	2	1	no	—
553	C₂³×C₇₉	—	2	1	no	—
554	C₂³×C₇₉	—	2	1	no	—
555	C₂³×C₇₉	—	2	1	no	—
556	C₂³×C₇₉	—	4	4	no	—
557	C₂³×C₇₉	—	4	4	no	—
558	C₂³×C₇₉	—	4	4	no	—
559	C₂³×C₇₉	—	8	2	no	—
560	C₂³×C₇₉	—	8	2	no	—
561	C₂³×C₇₉	—	8	2	no	—
562	C₂³×C₇₉	—	8	2	no	—
563	C₂³×C₇₉	C₂³×C₄	1	2	yes	—
564	C₂³×C₇₉	C₂³×C₄	1	2	yes	—
565	C₂³×C₇₉	C₂³×C₄	1	2	yes	—
566	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
567	C₂²×D₇₉	—	2	1	no	—
568	C₂²×D₇₉	—	2	1	no	—
569	C₂²×D₇₉	—	2	1	no	—
570	C₂²×D₇₉	—	2	1	no	—
571	C₂²×D₇₉	—	2	1	no	—
572	C₂²×D₇₉	—	2	1	no	—
573	C₂²×D₇₉	C₂³×C₄	1	2	yes	—
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	—	2	1	no	—
586	C₂×C₄×C₇₉	—	2	1	no	—
587	C₂×C₄×C₇₉	—	2	1	no	—
588	C₂×C₄×C₇₉	—	2	1	no	—
589	C₂×C₄×C₇₉	—	2	1	no	—
590	C₂×C₄×C₇₉	—	2	1	no	—
591	C₂×C₄×C₇₉	—	2	1	no	—
592	C₂×C₄×C₇₉	—	2	1	no	—
593	C₂×C₄×C₇₉	—	2	1	no	—
594	C₂×C₄×C₇₉	—	2	1	no	—
595	C₂×C₄×C₇₉	—	2	1	no	—
596	C₂×C₄×C₇₉	—	2	1	no	—
597	C₂×C₄×C₇₉	—	2	1	no	—
598	C₂×C₄×C₇₉	—	2	1	no	—
599	C₂×C₄×C₇₉	—	2	1	no	—
600	C₂×C₄×C₇₉	—	2	1	no	—
601	C₂×C₄×C₇₉	—	2	1	no	—
602	C₂×C₄×C₇₉	—	2	1	no	—
603	C₂×C₄×C₇₉	—	2	1	no	—
604	C₂×C₄×C₇₉	—	2	1	no	—
605	C₂×C₄×C₇₉	—	4	4	no	—
606	C₂×C₄×C₇₉	—	4	4	no	—
607	C₂×C₄×C₇₉	—	8	2	no	—
608	C₂×C₄×C₇₉	—	8	2	no	—
609	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
610	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
611	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
612	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
613	C₂×C₄×C₇₉	H(5,𝔽₂)	1	2	yes	—
614	C₂²⋊D₇₉	—	4	4	no	—
615	C₂²⋊D₇₉	—	4	4	no	—
616	C₂²⋊D₇₉	—	4	4	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	—	2	1	no	—
631	C₂×Dic₇₉	—	2	1	no	—
632	C₂×Dic₇₉	—	2	1	no	—
633	C₂×Dic₇₉	—	2	1	no	—
634	C₂×Dic₇₉	—	2	1	no	—
635	C₂×Dic₇₉	—	2	1	no	—
636	C₂×Dic₇₉	—	2	1	no	—
637	C₂×Dic₇₉	—	2	1	no	—
638	C₂×Dic₇₉	—	2	1	no	—
639	C₂×Dic₇₉	—	2	1	no	—
640	C₂×Dic₇₉	—	2	1	no	—
641	C₂×Dic₇₉	—	2	1	no	—
642	C₂×Dic₇₉	—	2	1	no	—
643	C₂×Dic₇₉	—	2	1	no	—
644	C₂×Dic₇₉	—	2	1	no	—
645	C₂×Dic₇₉	—	2	1	no	—
646	C₂×Dic₇₉	—	2	1	no	—
647	C₂×Dic₇₉	—	2	1	no	—
648	C₂×Dic₇₉	—	2	1	no	—
649	C₂×Dic₇₉	—	2	1	no	—
650	C₂×Dic₇₉	—	2	1	no	—
651	C₂×Dic₇₉	—	2	1	no	—
652	C₂×Dic₇₉	—	2	1	no	—
653	C₂×Dic₇₉	—	2	1	no	—
654	C₂×Dic₇₉	—	2	1	no	—
655	C₂×Dic₇₉	—	4	4	no	—
656	C₂×Dic₇₉	—	4	4	no	—
657	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
658	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
659	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
660	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
661	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
662	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
663	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
664	C₄×D₇₉	—	4	4	no	—
665	C₄×D₇₉	—	4	4	no	—
666	C₄×D₇₉	—	4	4	no	—
667	Dic₁₅₈	—	4	4	no	—
668	C₂²×C₇₉	—	2	2	no	—
669	C₂²×C₇₉	—	2	2	no	—
670	C₂²×C₇₉	—	2	2	no	—
671	C₂²×C₇₉	—	2	2	no	—
672	C₂²×C₇₉	—	2	2	no	—
673	C₂²×C₇₉	—	2	2	no	—
674	C₂²×C₇₉	—	2	2	no	—
675	C₂²×C₇₉	—	2	2	no	—
676	C₂²×C₇₉	—	2	2	no	—
677	C₂²×C₇₉	—	4	1	no	—
678	C₂²×C₇₉	—	4	1	no	—
679	C₂²×C₇₉	—	4	1	no	—
680	C₂²×C₇₉	—	4	1	no	—
681	C₂²×C₇₉	—	4	1	no	—
682	C₂²×C₇₉	—	4	1	no	—
683	C₂²×C₇₉	—	4	1	no	—
684	C₂²×C₇₉	—	4	1	no	—
685	C₂²×C₇₉	—	4	1	no	—
686	C₂²×C₇₉	—	4	1	no	—
687	C₂²×C₇₉	—	4	1	no	—
688	C₂²×C₇₉	—	4	1	no	—
689	C₂²×C₇₉	—	8	8	no	—
690	C₂²×C₇₉	C₂⁴×C₄	1	1	yes	characteristic
691	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
692	C₂²×C₇₉	#585	1	1	yes	characteristic
693	C₂²×C₇₉	#585	1	1	yes	characteristic
694	C₂²×C₇₉	#585	1	1	yes	characteristic
695	C₂²×C₇₉	#585	1	1	yes	characteristic
696	C₂²×C₇₉	#585	1	1	yes	characteristic
697	C₂×D₇₉	—	2	2	no	—
698	C₂×D₇₉	—	2	2	no	—
699	C₂×D₇₉	—	2	2	no	—
700	C₂×D₇₉	—	4	1	no	—
701	C₂×D₇₉	—	4	1	no	—
702	C₂×D₇₉	—	4	1	no	—
703	C₂×D₇₉	—	4	1	no	—
704	C₄×C₇₉	—	2	2	no	—
705	C₄×C₇₉	—	2	2	no	—
706	C₄×C₇₉	—	2	2	no	—
707	C₄×C₇₉	—	2	2	no	—
708	C₄×C₇₉	—	2	2	no	—
709	C₄×C₇₉	—	4	1	no	—
710	C₄×C₇₉	—	4	1	no	—
711	C₄×C₇₉	—	4	1	no	—
712	C₄×C₇₉	—	4	1	no	—
713	C₄×C₇₉	—	4	1	no	—
714	C₄×C₇₉	—	4	1	no	—
715	C₄×C₇₉	—	4	1	no	—
716	Dic₇₉	—	2	2	no	—
717	Dic₇₉	—	2	2	no	—
718	Dic₇₉	—	2	2	no	—
719	Dic₇₉	—	2	2	no	—
720	Dic₇₉	—	2	2	no	—
721	Dic₇₉	—	2	2	no	—
722	Dic₇₉	—	2	2	no	—
723	Dic₇₉	—	4	1	no	—
724	Dic₇₉	—	4	1	no	—
725	Dic₇₉	—	4	1	no	—
726	Dic₇₉	—	4	1	no	—
727	Dic₇₉	—	4	1	no	—
728	Dic₇₉	—	4	1	no	—
729	Dic₇₉	—	4	1	no	—
730	Dic₇₉	—	4	1	no	—
731	#34508	—	79	1	no	maximal, Sylow
732	C₂×C₇₉	—	4	2	no	—
733	C₂×C₇₉	—	4	2	no	—
734	C₂×C₇₉	—	4	2	no	—
735	C₂×C₇₉	#3428	1	1	yes	characteristic
736	C₂×C₇₉	#3428	1	1	yes	characteristic
737	C₂×C₇₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
738	C₂×C₇₉	#3533	1	1	yes	characteristic
739	C₂×C₇₉	#3540	1	1	yes	characteristic
740	C₂×C₇₉	#3566	1	1	yes	characteristic
741	C₂×C₇₉	#3566	1	1	yes	characteristic
742	D₇₉	—	4	2	no	—
743	C₂×#551	—	79	1	no	—
744	#2379	—	79	1	no	—
745	#2376	—	79	1	no	—
746	#2376	—	79	1	no	—
747	#2375	—	79	1	no	—
748	#2374	—	79	1	no	—
749	#2373	—	79	1	no	—
750	#2373	—	79	1	no	—
751	#2362	—	79	1	no	—
752	#2362	—	79	1	no	—
753	#2357	—	79	1	no	—
754	#2357	—	79	1	no	—
755	#2346	—	79	1	no	—
756	#2346	—	79	1	no	—
757	#2342	—	79	1	no	—
758	#2342	D₇₉	1	1	yes	characteristic, complemented
759	#2335	—	79	1	no	—
760	#2335	—	79	1	no	—
761	#2334	—	79	1	no	—
762	#2334	—	79	1	no	—
763	#2332	—	79	1	no	—
764	#2332	—	79	1	no	—
765	#2326	—	79	1	no	—
766	#2321	—	79	1	no	—
767	#2314	—	79	1	no	—
768	#2314	—	79	1	no	—
769	#2312	—	79	1	no	—
770	#2312	—	79	1	no	—
771	C₄×#123	—	79	1	no	—
772	#2290	—	79	1	no	—
773	#2290	—	79	1	no	—
774	C₇₉	#34508	1	1	yes	characteristic, complemented, Sylow
775	#551	—	79	16	no	—
776	C₂×#126	—	79	1	no	—
777	C₂×#126	—	79	1	no	—
778	C₂×#124	—	79	1	no	—
779	C₂×#123	—	79	1	no	—
780	C₂×#123	—	79	1	no	—
781	C₂×#123	—	79	1	no	—
782	C₂×C₂²⋊Q₈	—	79	1	no	—
783	C₂×C₂²⋊Q₈	—	79	1	no	—
784	C₂×#120	—	79	1	no	—
785	C₂×C₄×Q₈	—	79	1	no	—
786	C₂×C₄×D₄	—	79	1	no	—
787	C₂×C₄×D₄	—	79	1	no	—
788	C₂×C₄×D₄	—	79	1	no	—
789	C₂×#117	—	79	1	no	—
790	C₂×#117	—	79	1	no	—
791	C₂×#117	—	79	1	no	—
792	C₂×#117	C₂×D₇₉	1	1	yes	characteristic
793	C₂²×C₂²⋊C₄	—	79	1	no	—
794	C₂²×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
795	C₂²×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
796	C₂²×C₄²	—	79	1	no	—
797	#391	—	79	1	no	—
798	#391	—	79	1	no	—
799	#391	—	79	1	no	—
800	#390	—	79	1	no	—
801	#390	—	79	1	no	—
802	#390	—	79	1	no	—
803	#390	—	79	1	no	—
804	#390	—	79	1	no	—
805	#389	—	79	1	no	—
806	#389	—	79	1	no	—
807	#389	—	79	1	no	—
808	#389	—	79	1	no	—
809	#389	—	79	1	no	—
810	#389	—	79	1	no	—
811	#388	—	79	1	no	—
812	#388	—	79	1	no	—
813	#388	—	79	1	no	—
814	#388	—	79	1	no	—
815	#388	—	79	1	no	—
816	#388	—	79	1	no	—
817	#388	—	79	1	no	—
818	#388	—	79	1	no	—
819	#388	—	79	1	no	—
820	#388	—	79	1	no	—
821	#388	—	79	1	no	—
822	#388	—	79	1	no	—
823	#388	—	79	1	no	—
824	#388	—	79	1	no	—
825	#388	—	79	1	no	—
826	#388	—	79	1	no	—
827	#388	—	79	1	no	—
828	#388	—	79	1	no	—
829	#388	—	79	1	no	—
830	#388	—	79	1	no	—
831	#388	—	79	1	no	—
832	#388	—	79	1	no	—
833	#388	—	79	1	no	—
834	#388	—	79	1	no	—
835	#388	—	79	1	no	—
836	#388	—	79	1	no	—
837	#388	—	79	1	no	—
838	#388	—	79	1	no	—
839	#388	—	79	1	no	—
840	#388	—	79	1	no	—
841	#388	—	79	1	no	—
842	#388	—	79	1	no	—
843	#388	—	79	1	no	—
844	#388	—	79	1	no	—
845	#388	—	79	1	no	—
846	#388	—	79	1	no	—
847	#388	C₂×D₇₉	1	1	yes	characteristic
848	#388	C₂×D₇₉	1	1	yes	characteristic
849	#388	C₂×D₇₉	1	1	yes	characteristic
850	#388	C₂×D₇₉	1	1	yes	characteristic
851	#387	—	79	1	no	—
852	#387	—	79	1	no	—
853	#387	—	79	1	no	—
854	#387	—	79	1	no	—
855	#387	—	79	1	no	—
856	#387	—	79	1	no	—
857	#387	—	79	1	no	—
858	#387	—	79	1	no	—
859	#387	—	79	1	no	—
860	#387	—	79	1	no	—
861	#387	—	79	1	no	—
862	#387	—	79	1	no	—
863	#387	—	79	1	no	—
864	#387	—	79	1	no	—
865	#387	—	79	1	no	—
866	#387	—	79	1	no	—
867	#386	—	79	1	no	—
868	#386	—	79	1	no	—
869	#386	—	79	1	no	—
870	#386	—	79	1	no	—
871	#386	—	79	1	no	—
872	#386	—	79	1	no	—
873	#385	—	79	1	no	—
874	#385	—	79	1	no	—
875	#385	—	79	1	no	—
876	#385	—	79	1	no	—
877	#385	—	79	1	no	—
878	#385	—	79	1	no	—
879	#385	—	79	1	no	—
880	#385	—	79	1	no	—
881	#385	C₂×D₇₉	1	1	yes	characteristic
882	#385	C₂×D₇₉	1	1	yes	characteristic
883	#384	—	79	1	no	—
884	#382	—	79	1	no	—
885	#382	—	79	1	no	—
886	#382	—	79	1	no	—
887	#382	—	79	1	no	—
888	#381	—	79	1	no	—
889	#381	—	79	1	no	—
890	#381	C₂×D₇₉	1	1	yes	characteristic
891	#380	—	79	1	no	—
892	#380	—	79	1	no	—
893	#380	—	79	1	no	—
894	#380	—	79	1	no	—
895	#380	—	79	1	no	—
896	#380	C₂×D₇₉	1	1	yes	characteristic
897	#379	—	79	1	no	—
898	#379	—	79	1	no	—
899	#379	C₂×D₇₉	1	1	yes	characteristic
900	C₄×C₄⋊C₄	—	79	1	no	—
901	C₄×C₄⋊C₄	—	79	1	no	—
902	C₄×C₄⋊C₄	—	79	1	no	—
903	C₄×C₄⋊C₄	—	79	1	no	—
904	C₄×C₄⋊C₄	—	79	1	no	—
905	C₄×C₄⋊C₄	—	79	1	no	—
906	C₄×C₄⋊C₄	—	79	1	no	—
907	C₄×C₄⋊C₄	—	79	1	no	—
908	C₄×C₄⋊C₄	—	79	1	no	—
909	C₄×C₄⋊C₄	—	79	1	no	—
910	C₄×C₄⋊C₄	—	79	1	no	—
911	C₄×C₄⋊C₄	—	79	1	no	—
912	C₄×C₄⋊C₄	—	79	1	no	—
913	C₄×C₄⋊C₄	—	79	1	no	—
914	C₄×C₂²⋊C₄	—	79	1	no	—
915	C₄×C₂²⋊C₄	—	79	1	no	—
916	C₄×C₂²⋊C₄	—	79	1	no	—
917	C₄×C₂²⋊C₄	—	79	1	no	—
918	C₄×C₂²⋊C₄	—	79	1	no	—
919	C₄×C₂²⋊C₄	—	79	1	no	—
920	C₄×C₂²⋊C₄	—	79	1	no	—
921	C₄×C₂²⋊C₄	—	79	1	no	—
922	C₄×C₂²⋊C₄	—	79	1	no	—
923	C₄×C₂²⋊C₄	—	79	1	no	—
924	C₄×C₂²⋊C₄	—	79	1	no	—
925	C₄×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
926	C₄×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
927	C₄×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
928	#376	—	79	1	no	—
929	#376	—	79	1	no	—
930	#376	—	79	1	no	—
931	C₂⁵	C₂²×D₇₉	1	1	yes	characteristic
932	C₂²×Q₈	—	79	1	no	—
933	C₂²×D₄	—	79	1	no	—
934	C₂²×D₄	—	79	1	no	—
935	C₂²×D₄	—	79	1	no	—
936	C₂³×C₄	—	79	1	no	—
937	C₂³×C₄	—	79	1	no	—
938	C₂³×C₄	—	79	1	no	—
939	C₂³×C₄	—	79	1	no	—
940	C₂³×C₄	—	79	1	no	—
941	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
942	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
943	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
944	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
945	#126	—	79	8	no	—
946	#126	—	79	8	no	—
947	#124	—	79	8	no	—
948	#123	—	79	8	no	—
949	#123	—	79	8	no	—
950	#123	—	79	8	no	—
951	C₂²⋊Q₈	—	79	8	no	—
952	C₂²⋊Q₈	—	79	8	no	—
953	#120	—	79	8	no	—
954	C₄×Q₈	—	316	2	no	—
955	C₄×D₄	—	316	2	no	—
956	C₄×D₄	—	79	8	no	—
957	C₄×D₄	—	79	8	no	—
958	#117	—	4	2	no	—
959	#117	—	316	2	no	—
960	#117	—	79	8	no	—
961	#117	—	79	8	no	—
962	C₂×C₄⋊C₄	—	79	1	no	—
963	C₂×C₄⋊C₄	—	79	1	no	—
964	C₂×C₄⋊C₄	—	79	1	no	—
965	C₂×C₄⋊C₄	—	79	1	no	—
966	C₂×C₄⋊C₄	—	79	1	no	—
967	C₂×C₄⋊C₄	—	79	1	no	—
968	C₂×C₄⋊C₄	—	79	1	no	—
969	C₂×C₄⋊C₄	—	79	1	no	—
970	C₂×C₄⋊C₄	—	79	1	no	—
971	C₂×C₄⋊C₄	—	79	1	no	—
972	C₂×C₄⋊C₄	—	79	1	no	—
973	C₂×C₄⋊C₄	—	79	1	no	—
974	C₂×C₄⋊C₄	—	79	1	no	—
975	C₂×C₄⋊C₄	—	79	1	no	—
976	C₂×C₄⋊C₄	—	79	1	no	—
977	C₂×C₄⋊C₄	—	79	1	no	—
978	C₂×C₄⋊C₄	—	79	1	no	—
979	C₂×C₄⋊C₄	—	79	1	no	—
980	C₂×C₄⋊C₄	—	79	1	no	—
981	C₂×C₄⋊C₄	—	79	1	no	—
982	C₂×C₄⋊C₄	—	79	1	no	—
983	C₂×C₄⋊C₄	—	79	1	no	—
984	C₂×C₄⋊C₄	—	79	1	no	—
985	C₂×C₄⋊C₄	—	79	1	no	—
986	C₂×C₄⋊C₄	—	79	1	no	—
987	C₂×C₄⋊C₄	—	79	1	no	—
988	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	—	4	2	no	—
993	C₂×C₂²⋊C₄	—	79	1	no	—
994	C₂×C₂²⋊C₄	—	79	1	no	—
995	C₂×C₂²⋊C₄	—	79	1	no	—
996	C₂×C₂²⋊C₄	—	79	1	no	—
997	C₂×C₂²⋊C₄	—	79	1	no	—
998	C₂×C₂²⋊C₄	—	79	1	no	—
999	C₂×C₂²⋊C₄	—	79	1	no	—
1000	C₂×C₂²⋊C₄	—	79	1	no	—
1001	C₂×C₂²⋊C₄	—	79	1	no	—
1002	C₂×C₂²⋊C₄	—	79	1	no	—
1003	C₂×C₂²⋊C₄	—	79	1	no	—
1004	C₂×C₂²⋊C₄	—	79	1	no	—
1005	C₂×C₂²⋊C₄	—	79	1	no	—
1006	C₂×C₂²⋊C₄	—	79	1	no	—
1007	C₂×C₂²⋊C₄	—	79	1	no	—
1008	C₂×C₂²⋊C₄	—	79	1	no	—
1009	C₂×C₂²⋊C₄	—	79	1	no	—
1010	C₂×C₂²⋊C₄	—	79	1	no	—
1011	C₂×C₂²⋊C₄	—	79	8	no	—
1012	C₂×C₂²⋊C₄	—	79	1	no	—
1013	C₂×C₂²⋊C₄	—	79	1	no	—
1014	C₂×C₂²⋊C₄	—	79	1	no	—
1015	C₂×C₂²⋊C₄	—	79	1	no	—
1016	C₂×C₂²⋊C₄	—	79	1	no	—
1017	C₂×C₂²⋊C₄	—	79	1	no	—
1018	C₂×C₂²⋊C₄	—	79	1	no	—
1019	C₂×C₂²⋊C₄	—	79	1	no	—
1020	C₂×C₂²⋊C₄	—	79	1	no	—
1021	C₂×C₂²⋊C₄	—	79	1	no	—
1022	C₂×C₂²⋊C₄	C₄×D₇₉	1	8	yes	complemented
1023	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1037	C₂×C₄²	—	316	2	no	—
1038	C₂×C₄²	—	79	1	no	—
1039	C₂×C₄²	—	79	1	no	—
1040	C₂×C₄²	—	79	1	no	—
1041	C₂×C₄²	—	79	1	no	—
1042	C₂×C₄²	—	79	1	no	—
1043	C₂×C₄²	—	79	1	no	—
1044	C₂×C₄²	—	79	1	no	—
1045	C₂×C₄²	—	79	1	no	—
1046	C₂×C₄²	—	79	1	no	—
1047	C₂×C₄²	—	79	1	no	—
1048	C₂×C₄²	—	79	1	no	—
1049	C₂×C₄²	—	79	1	no	—
1050	C₂×C₄²	—	79	1	no	—
1051	C₂×C₄²	—	79	1	no	—
1052	C₂×C₄²	—	79	1	no	—
1053	C₂×C₄²	—	79	1	no	—
1054	C₂×C₄²	—	79	1	no	—
1055	C₂×C₄²	—	79	1	no	—
1056	C₂×C₄²	—	79	1	no	—
1057	C₂×C₄²	—	79	1	no	—
1058	C₂×C₄²	—	79	1	no	—
1059	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1060	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1061	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1062	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
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	—	79	1	no	—
1069	#95	—	79	1	no	—
1070	#95	—	79	1	no	—
1071	#95	—	79	1	no	—
1072	#95	—	79	1	no	—
1073	#95	—	79	1	no	—
1074	#95	—	79	1	no	—
1075	#95	—	79	1	no	—
1076	#95	—	79	1	no	—
1077	#95	—	79	1	no	—
1078	#95	—	79	1	no	—
1079	#95	—	79	1	no	—
1080	#95	—	79	1	no	—
1081	#95	—	79	1	no	—
1082	#95	—	79	1	no	—
1083	#95	—	79	1	no	—
1084	#95	—	79	1	no	—
1085	#95	—	79	1	no	—
1086	#95	—	79	1	no	—
1087	#95	—	79	1	no	—
1088	#95	—	79	1	no	—
1089	#95	—	79	1	no	—
1090	#95	—	79	1	no	—
1091	#95	—	79	1	no	—
1092	#95	—	79	1	no	—
1093	#95	—	79	1	no	—
1094	#95	—	79	1	no	—
1095	#95	—	79	1	no	—
1096	#95	—	79	1	no	—
1097	#95	—	79	1	no	—
1098	#95	—	79	1	no	—
1099	#95	C₂²×D₇₉	1	1	yes	characteristic
1100	#95	C₂²×D₇₉	1	1	yes	characteristic
1101	#95	C₂²×D₇₉	1	1	yes	characteristic
1102	#95	C₂²×D₇₉	1	1	yes	characteristic
1103	#95	C₂²×D₇₉	1	1	yes	characteristic
1104	#95	C₂²×D₇₉	1	1	yes	characteristic
1105	#95	C₂²×D₇₉	1	1	yes	characteristic
1106	#95	C₂²×D₇₉	1	1	yes	characteristic
1107	C₂⁴	—	4	1	no	—
1108	C₂⁴	—	4	1	no	—
1109	C₂⁴	—	4	1	no	—
1110	C₂⁴	—	4	1	no	—
1111	C₂⁴	—	4	1	no	—
1112	C₂⁴	—	4	1	no	—
1113	C₂⁴	—	79	1	no	—
1114	C₂⁴	C₂×C₄×D₇₉	1	4	yes	—
1115	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1116	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1117	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1118	C₂×Q₈	—	316	1	no	—
1119	C₂×Q₈	—	316	1	no	—
1120	C₂×Q₈	—	79	4	no	—
1121	C₂×D₄	—	316	1	no	—
1122	C₂×D₄	—	316	1	no	—
1123	C₂×D₄	—	316	1	no	—
1124	C₂×D₄	—	316	1	no	—
1125	C₂×D₄	—	316	1	no	—
1126	C₂×D₄	—	316	1	no	—
1127	C₂×D₄	—	79	4	no	—
1128	C₂×D₄	—	79	4	no	—
1129	C₂×D₄	—	79	4	no	—
1130	C₂²×C₄	—	2	2	no	—
1131	C₂²×C₄	—	4	1	no	—
1132	C₂²×C₄	—	4	1	no	—
1133	C₂²×C₄	—	4	1	no	—
1134	C₂²×C₄	—	4	1	no	—
1135	C₂²×C₄	—	4	1	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	316	1	no	—
1141	C₂²×C₄	—	316	1	no	—
1142	C₂²×C₄	—	316	1	no	—
1143	C₂²×C₄	—	316	1	no	—
1144	C₂²×C₄	—	316	1	no	—
1145	C₂²×C₄	—	316	1	no	—
1146	C₂²×C₄	—	316	1	no	—
1147	C₂²×C₄	—	316	1	no	—
1148	C₂²×C₄	—	316	1	no	—
1149	C₂²×C₄	—	316	1	no	—
1150	C₂²×C₄	—	316	1	no	—
1151	C₂²×C₄	—	79	4	no	—
1152	C₂²×C₄	—	79	4	no	—
1153	C₂²×C₄	—	79	4	no	—
1154	C₂²×C₄	—	79	1	no	—
1155	C₂²×C₄	—	79	1	no	—
1156	C₂²×C₄	—	79	1	no	—
1157	C₂²×C₄	—	79	1	no	—
1158	C₂²×C₄	—	79	1	no	—
1159	C₂²×C₄	—	79	1	no	—
1160	C₂²×C₄	—	79	1	no	—
1161	C₂²×C₄	—	79	1	no	—
1162	C₂²×C₄	—	79	1	no	—
1163	C₂²×C₄	—	79	1	no	—
1164	C₂²×C₄	—	79	1	no	—
1165	C₂²×C₄	—	79	1	no	—
1166	C₂²×C₄	—	79	1	no	—
1167	C₂²×C₄	—	79	1	no	—
1168	C₂²×C₄	—	79	1	no	—
1169	C₂²×C₄	—	158	2	no	—
1170	C₂²×C₄	C₂×C₄×D₇₉	1	4	yes	—
1171	C₂²×C₄	C₂×C₄×D₇₉	1	4	yes	—
1172	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1184	C₄⋊C₄	—	2	2	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	316	1	no	—
1189	C₄⋊C₄	—	316	1	no	—
1190	C₄⋊C₄	—	316	1	no	—
1191	C₄⋊C₄	—	316	1	no	—
1192	C₄⋊C₄	—	316	1	no	—
1193	C₄⋊C₄	—	316	1	no	—
1194	C₄⋊C₄	—	316	1	no	—
1195	C₄⋊C₄	—	316	1	no	—
1196	C₄⋊C₄	—	316	1	no	—
1197	C₄⋊C₄	—	316	1	no	—
1198	C₄⋊C₄	—	316	1	no	—
1199	C₄⋊C₄	—	316	1	no	—
1200	C₄⋊C₄	—	316	1	no	—
1201	C₄⋊C₄	—	316	1	no	—
1202	C₄⋊C₄	—	316	1	no	—
1203	C₄⋊C₄	—	316	1	no	—
1204	C₄⋊C₄	—	316	1	no	—
1205	C₄⋊C₄	—	79	4	no	—
1206	C₄⋊C₄	—	79	4	no	—
1207	C₄⋊C₄	—	79	4	no	—
1208	C₄⋊C₄	—	79	4	no	—
1209	C₄⋊C₄	—	79	4	no	—
1210	C₄⋊C₄	—	79	4	no	—
1211	C₄⋊C₄	—	79	4	no	—
1212	C₄⋊C₄	—	79	4	no	—
1213	C₄⋊C₄	—	158	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	316	1	no	—
1225	C₂²⋊C₄	—	316	1	no	—
1226	C₂²⋊C₄	—	316	1	no	—
1227	C₂²⋊C₄	—	316	1	no	—
1228	C₂²⋊C₄	—	316	1	no	—
1229	C₂²⋊C₄	—	316	1	no	—
1230	C₂²⋊C₄	—	316	1	no	—
1231	C₂²⋊C₄	—	316	1	no	—
1232	C₂²⋊C₄	—	316	1	no	—
1233	C₂²⋊C₄	—	316	1	no	—
1234	C₂²⋊C₄	—	316	1	no	—
1235	C₂²⋊C₄	—	316	1	no	—
1236	C₂²⋊C₄	—	316	1	no	—
1237	C₂²⋊C₄	—	316	1	no	—
1238	C₂²⋊C₄	—	316	1	no	—
1239	C₂²⋊C₄	—	316	1	no	—
1240	C₂²⋊C₄	—	316	1	no	—
1241	C₂²⋊C₄	—	316	1	no	—
1242	C₂²⋊C₄	—	79	4	no	—
1243	C₂²⋊C₄	—	79	4	no	—
1244	C₂²⋊C₄	—	79	4	no	—
1245	C₂²⋊C₄	—	79	4	no	—
1246	C₂²⋊C₄	—	79	4	no	—
1247	C₂²⋊C₄	—	79	4	no	—
1248	C₂²⋊C₄	—	79	4	no	—
1249	C₂²⋊C₄	—	79	4	no	—
1250	C₂²⋊C₄	—	79	4	no	—
1251	C₂²⋊C₄	—	79	4	no	—
1252	C₂²⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1253	C₂²⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1254	C₂²⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1255	C₂²⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
1256	C₄²	—	2	2	no	—
1257	C₄²	—	4	1	no	—
1258	C₄²	—	4	1	no	—
1259	C₄²	—	4	1	no	—
1260	C₄²	—	316	1	no	—
1261	C₄²	—	316	1	no	—
1262	C₄²	—	316	1	no	—
1263	C₄²	—	316	1	no	—
1264	C₄²	—	316	1	no	—
1265	C₄²	—	316	1	no	—
1266	C₄²	—	316	1	no	—
1267	C₄²	—	316	1	no	—
1268	C₄²	—	316	1	no	—
1269	C₄²	—	316	1	no	—
1270	C₄²	—	316	1	no	—
1271	C₄²	—	316	1	no	—
1272	C₄²	—	316	1	no	—
1273	C₄²	—	316	1	no	—
1274	C₄²	—	316	1	no	—
1275	C₄²	—	316	1	no	—
1276	C₄²	—	79	4	no	—
1277	C₄²	—	79	4	no	—
1278	C₄²	—	79	4	no	—
1279	C₄²	—	158	2	no	—
1280	C₄²	—	158	2	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	4	4	no	—
1300	C₂³	—	4	4	no	—
1301	C₂³	—	4	4	no	—
1302	C₂³	—	8	2	no	—
1303	C₂³	—	8	2	no	—
1304	C₂³	—	8	2	no	—
1305	C₂³	—	8	2	no	—
1306	C₂³	—	79	2	no	—
1307	C₂³	—	158	1	no	—
1308	C₂³	—	158	1	no	—
1309	C₂³	—	158	1	no	—
1310	C₂³	—	158	1	no	—
1311	C₂³	—	158	1	no	—
1312	C₂³	—	158	1	no	—
1313	C₂³	C₂²×C₄×D₇₉	1	2	yes	—
1314	C₂³	C₂²×C₄×D₇₉	1	2	yes	—
1315	C₂³	C₂²×C₄×D₇₉	1	2	yes	—
1316	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1317	Q₈	—	316	4	no	—
1318	D₄	—	316	4	no	—
1319	D₄	—	316	4	no	—
1320	D₄	—	316	4	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	4	4	no	—
1353	C₂×C₄	—	4	4	no	—
1354	C₂×C₄	—	8	2	no	—
1355	C₂×C₄	—	8	2	no	—
1356	C₂×C₄	—	316	4	no	—
1357	C₂×C₄	—	316	4	no	—
1358	C₂×C₄	—	316	4	no	—
1359	C₂×C₄	—	316	4	no	—
1360	C₂×C₄	—	316	4	no	—
1361	C₂×C₄	—	79	2	no	—
1362	C₂×C₄	—	79	2	no	—
1363	C₂×C₄	—	79	2	no	—
1364	C₂×C₄	—	79	2	no	—
1365	C₂×C₄	—	79	2	no	—
1366	C₂×C₄	—	79	2	no	—
1367	C₂×C₄	—	79	2	no	—
1368	C₂×C₄	—	158	1	no	—
1369	C₂×C₄	—	158	1	no	—
1370	C₂×C₄	—	158	1	no	—
1371	C₂×C₄	—	158	1	no	—
1372	C₂×C₄	—	158	1	no	—
1373	C₂×C₄	—	158	1	no	—
1374	C₂×C₄	—	158	1	no	—
1375	C₂×C₄	—	158	1	no	—
1376	C₂×C₄	—	158	1	no	—
1377	C₂×C₄	—	158	1	no	—
1378	C₂×C₄	—	158	1	no	—
1379	C₂×C₄	—	158	1	no	—
1380	C₂×C₄	—	158	1	no	—
1381	C₂×C₄	—	158	1	no	—
1382	C₂×C₄	—	158	1	no	—
1383	C₂×C₄	—	158	1	no	—
1384	C₂×C₄	—	158	1	no	—
1385	C₂×C₄	—	158	1	no	—
1386	C₂×C₄	—	158	1	no	—
1387	C₂×C₄	—	158	1	no	—
1388	C₂×C₄	—	158	1	no	—
1389	C₂×C₄	—	158	1	no	—
1390	C₂×C₄	—	158	1	no	—
1391	C₂×C₄	—	158	1	no	—
1392	C₂×C₄	—	158	1	no	—
1393	C₂×C₄	—	158	1	no	—
1394	C₂×C₄	—	158	1	no	—
1395	C₂×C₄	—	158	1	no	—
1396	C₂×C₄	—	158	1	no	—
1397	C₂×C₄	—	158	1	no	—
1398	C₂×C₄	—	158	1	no	—
1399	C₂×C₄	—	158	1	no	—
1400	C₂×C₄	—	158	1	no	—
1401	C₂×C₄	—	158	1	no	—
1402	C₂×C₄	—	158	1	no	—
1403	C₂×C₄	—	158	1	no	—
1404	C₂×C₄	—	158	1	no	—
1405	C₂×C₄	—	158	1	no	—
1406	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1407	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1408	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1409	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1410	C₂×C₄	#14579206	1	2	yes	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	8	8	no	—
1433	C₂²	—	316	1	no	—
1434	C₂²	—	316	1	no	—
1435	C₂²	—	316	1	no	—
1436	C₂²	—	316	1	no	—
1437	C₂²	—	158	2	no	—
1438	C₂²	—	158	2	no	—
1439	C₂²	—	158	2	no	—
1440	C₂²	C₂³×C₄×D₇₉	1	1	yes	characteristic
1441	C₂²	C₂×#14579206	1	1	yes	characteristic
1442	C₂²	#19099398	1	1	yes	characteristic
1443	C₂²	#19099398	1	1	yes	characteristic
1444	C₂²	#19099399	1	1	yes	characteristic
1445	C₂²	#19099399	1	1	yes	characteristic
1446	C₂²	#19099399	1	1	yes	characteristic
1447	C₄	—	2	2	no	—
1448	C₄	—	2	2	no	—
1449	C₄	—	2	2	no	—
1450	C₄	—	2	2	no	—
1451	C₄	—	2	2	no	—
1452	C₄	—	4	1	no	—
1453	C₄	—	4	1	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	316	1	no	—
1460	C₄	—	316	1	no	—
1461	C₄	—	316	1	no	—
1462	C₄	—	316	1	no	—
1463	C₄	—	316	1	no	—
1464	C₄	—	316	1	no	—
1465	C₄	—	316	1	no	—
1466	C₄	—	316	1	no	—
1467	C₄	—	158	2	no	—
1468	C₄	—	158	2	no	—
1469	C₄	—	158	2	no	—
1470	C₄	—	158	2	no	—
1471	C₄	—	158	2	no	—
1472	C₄	—	158	2	no	—
1473	C₄	—	158	2	no	—
1474	C₂	—	4	2	no	—
1475	C₂	—	4	2	no	—
1476	C₂	—	4	2	no	—
1477	C₂	—	316	2	no	—
1478	C₂	#23776598	1	1	yes	characteristic
1479	C₂	#23776601	1	1	yes	characteristic
1480	C₂	C₄×#14579206	1	1	yes	characteristic
1481	C₂	#23777559	1	1	yes	characteristic
1482	C₂	#23777664	1	1	yes	characteristic
1483	C₂	#23778058	1	1	yes	characteristic
1484	C₂	#23778062	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₉
commutator	C₂²×C₇₉	C₂⁴×C₄
Fitting	C₇₉×#2342	C₂
socle, cosocle	C₂³×C₇₉	C₂⁵
prime radical	C₂×#14579130	C₂²
hypercenter	#2342	D₇₉
hypocenter	C₇₉	#34508
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ #2342

Complements

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

N	H ≅ G/N	type
2. #23766573	C₂	semidirect
3. #23766546	C₂	semidirect
4. #23766544	C₂	semidirect
6. #23766534	C₂	semidirect
7. #23766521	C₂	semidirect
8. #23766515	C₂	semidirect
9. #23766427	C₂	semidirect
10. #23766424	C₂	semidirect
11. #23766370	C₂	semidirect
12. #23766368	C₂	semidirect
13. #23766283	C₂	semidirect
14. #23766282	C₂	semidirect
15. #23766245	C₂	semidirect
16. #23766190	C₂	semidirect
17. #23766183	C₂	semidirect
18. #23766177	C₂	semidirect
19. #23766176	C₂	semidirect
20. #23766157	C₂	semidirect
21. #23766153	C₂	semidirect
22. #23766106	C₂	semidirect
24. #23766007	C₂	semidirect
25. #23766004	C₂	semidirect
26. #23765998	C₂	semidirect
27. #23765996	C₂	semidirect
28. C₄×#14579143	C₂	semidirect
29. #23765842	C₂	semidirect
30. #23765837	C₂	semidirect
31. C₇₉×#2342	C₂	semidirect
32. #19099239	C₄	semidirect
42. C₂×#14579126	C₂²	semidirect
50. C₂×C₄²×D₇₉	C₂²	semidirect
51. #19098468	C₂²	semidirect
52. #19098467	C₂²	semidirect
53. #19098467	C₂²	semidirect
59. #19098461	C₂²	semidirect
60. #19098461	C₂²	semidirect
61. #19098460	C₂²	semidirect
62. #19098460	C₂²	semidirect
63. #19098459	C₂²	semidirect
64. #19098458	C₂²	semidirect
84. #19098455	C₂²	semidirect
85. #19098455	C₂²	semidirect
86. #19098454	C₂²	semidirect
87. #19098453	C₂²	semidirect
88. #19098452	C₂²	semidirect
89. #19098452	C₂²	semidirect
101. #19098450	C₂²	semidirect
102. #19098450	C₂²	semidirect
103. #19098448	C₂²	semidirect
104. #19098448	C₂²	semidirect
105. #19098447	C₂²	semidirect
106. #19098447	C₂²	semidirect
107. #19098447	C₂²	semidirect
108. #19098446	C₂²	semidirect
109. #19098446	C₂²	semidirect
110. #19098446	C₂²	semidirect
111. #19098446	C₂²	semidirect
112. #19098445	C₂²	semidirect
113. #19098445	C₂²	semidirect
114. #19098444	C₂²	semidirect
115. #19098444	C₂²	semidirect
116. #19098444	C₂²	semidirect
123. #19098437	C₂²	semidirect
124. #19098437	C₂²	semidirect
128. #19098434	C₂²	semidirect
129. #19098434	C₂²	semidirect
130. #19098434	C₂²	semidirect
131. #19098432	C₂²	semidirect
132. #19098428	C₂²	semidirect
133. #19098427	C₂²	semidirect
134. #19098427	C₂²	semidirect
135. #19098427	C₂²	semidirect
136. #19098425	C₂²	semidirect
145. C₄⋊C₄×Dic₇₉	C₂²	semidirect
146. C₄⋊C₄×Dic₇₉	C₂²	semidirect
147. C₄⋊C₄×Dic₇₉	C₂²	semidirect
148. C₄×Dic₇₉⋊C₄	C₂²	semidirect
149. C₄×Dic₇₉⋊C₄	C₂²	semidirect
150. C₄×Dic₇₉⋊C₄	C₂²	semidirect
151. C₄×Dic₇₉⋊C₄	C₂²	semidirect
152. C₄×C₄⋊Dic₇₉	C₂²	semidirect
153. C₄×C₄⋊Dic₇₉	C₂²	semidirect
154. #19098414	C₂²	semidirect
155. #19098414	C₂²	semidirect
156. #19098414	C₂²	semidirect
157. #19098414	C₂²	semidirect
158. #19098414	C₂²	semidirect
162. C₄×(C₂×D₇₉)⋊C₄	C₂²	semidirect
163. C₄×(C₂×D₇₉)⋊C₄	C₂²	semidirect
169. #19098410	C₂²	semidirect
170. #19098409	C₂²	semidirect
171. #19098408	C₂²	semidirect
172. #19098408	C₂²	semidirect
197. #14579154	C₂×C₄	semidirect
198. #14579154	C₂×C₄	semidirect
200. #14579145	C₂×C₄	semidirect
201. #14579144	C₂×C₄	semidirect
203. #14579140	C₂×C₄	semidirect
204. #14579138	C₂×C₄	semidirect
208. C₄×C₂²⋊D₇₉	C₂×C₄	semidirect
209. (C₂²⋊D₇₉)⋊C₄	C₂×C₄	semidirect
210. #14579120	C₂×C₄	semidirect
212. #14579117	C₂×C₄	semidirect
239. C₂×C₂²⋊Dic₇₉	C₂×C₄	semidirect
337. C₂×C₂²⋊C₄×C₇₉	C₂×C₄	semidirect
758. #2342	D₇₉	semidirect
774. C₇₉	#34508	semidirect
1022. C₂×C₂²⋊C₄	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×#19099239	2
#23766573	2
#23766546	2
#23766544	2
#23766539	2
#23766534	2
#23766521	2
#23766515	2
#23766427	2
#23766424	2
#23766370	2
#23766368	2
#23766283	2
#23766282	2
#23766245	2
#23766190	2
#23766183	2
#23766177	2
#23766176	2
#23766157	2
#23766153	2
#23766106	2
#23766058	2
#23766007	2
#23766004	2
#23765998	2
#23765996	2
C₄×#14579143	2
#23765842	2
#23765837	2
C₇₉×#2342	2
#34508	79