Subgroups — #34459520

Order 20224.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23768854	C₂	1	1	yes	maximal, characteristic, complemented
2	#23768846	C₂	1	1	yes	maximal, characteristic, complemented
3	#23768824	C₂	1	1	yes	maximal, characteristic, complemented
4	#23768816	C₂	1	1	yes	maximal, characteristic, complemented
5	#23768784	C₂	1	1	yes	maximal, characteristic, complemented
6	#23768755	C₂	1	1	yes	maximal, characteristic
7	#23768595	C₂	1	1	yes	maximal, characteristic
8	#23768414	C₂	1	1	yes	maximal, characteristic, complemented
9	#23768113	C₂	1	1	yes	maximal, characteristic, complemented
10	#23768111	C₂	1	1	yes	maximal, characteristic, complemented
11	#23767942	C₂	1	1	yes	maximal, characteristic, complemented
12	#23767922	C₂	1	1	yes	maximal, characteristic, complemented
13	#23767424	C₂	1	1	yes	maximal, characteristic, complemented
14	#23767422	C₂	1	1	yes	maximal, characteristic, complemented
15	#23767265	C₂	1	1	yes	maximal, characteristic
16	#23767245	C₂	1	1	yes	maximal, characteristic
17	#23766676	C₂	1	1	yes	maximal, characteristic, complemented
18	#23766676	C₂	1	1	yes	maximal, characteristic, complemented
19	#23766674	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#14579159	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#14579151	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#14579151	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#14579138	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#14579137	C₂	1	1	yes	maximal, characteristic, complemented
25	#23765882	C₂	1	1	yes	maximal, characteristic, complemented
26	#23765880	C₂	1	1	yes	maximal, characteristic, complemented
27	#23765863	C₂	1	1	yes	maximal, characteristic
28	#23765859	C₂	1	1	yes	maximal, characteristic
29	C₄×#14579126	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×(C₂²⋊D₇₉)⋊C₄	C₂	1	1	yes	maximal, characteristic
31	C₇₉×#2396	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14579159	C₂²	1	1	yes	characteristic
33	C₂×#14579151	C₂²	1	1	yes	characteristic
34	C₂×#14579151	C₂²	1	1	yes	characteristic
35	C₂×#14579138	C₂²	1	1	yes	characteristic
36	C₂×#14579137	C₂²	1	1	yes	characteristic
37	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
38	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
39	C₂×#14579126	C₂²	1	1	yes	characteristic
40	C₂×#14579126	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
42	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×#14579120	C₂²	1	1	yes	characteristic
45	C₂×#14579118	C₂²	1	1	yes	characteristic
46	C₂×#14579118	C₂²	1	1	yes	characteristic
47	C₂²×C₄×Dic₇₉	C₂²	1	1	yes	characteristic
48	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
49	#19098505	C₂²	1	1	yes	characteristic
50	#19098504	C₂²	1	1	yes	characteristic
51	#19098504	C₂²	1	1	yes	characteristic
52	#19098499	C₂²	1	1	yes	characteristic
53	#19098498	C₂²	1	1	yes	characteristic
54	#19098498	C₂²	1	1	yes	characteristic
55	#19098497	C₂²	1	1	yes	characteristic
56	#19098497	C₂²	1	1	yes	characteristic
57	#19098497	C₂²	1	1	yes	characteristic
58	#19098495	C₂²	1	1	yes	characteristic
59	#19098494	C₂²	1	1	yes	characteristic
60	#19098494	C₂²	1	1	yes	characteristic
61	#19098487	C₂²	1	1	yes	characteristic
62	#19098487	C₂²	1	1	yes	characteristic
63	#19098486	C₂²	1	1	yes	characteristic
64	#19098486	C₂²	1	1	yes	characteristic
65	#19098485	C₂²	1	1	yes	characteristic
66	#19098485	C₂²	1	1	yes	characteristic
67	#19098484	C₂²	1	1	yes	characteristic
68	#19098483	C₂²	1	1	yes	characteristic
69	#19098483	C₂²	1	1	yes	characteristic
70	#19098476	C₂²	1	1	yes	characteristic
71	#19098476	C₂²	1	1	yes	characteristic
72	#19098475	C₂²	1	1	yes	characteristic
73	#19098470	C₂²	1	1	yes	characteristic
74	#19098470	C₂²	1	1	yes	characteristic
75	#19098468	C₂²	1	1	yes	characteristic
76	#19098467	C₂²	1	1	yes	characteristic
77	#19098463	C₂²	1	1	yes	characteristic
78	#19098463	C₂²	1	1	yes	characteristic
79	#19098463	C₂²	1	1	yes	characteristic
80	#19098463	C₂²	1	1	yes	characteristic
81	#19098460	C₂²	1	1	yes	characteristic
82	#19098460	C₂²	1	1	yes	characteristic
83	#19098460	C₂²	1	1	yes	characteristic
84	#19098460	C₂²	1	1	yes	characteristic
85	#19098460	C₂²	1	1	yes	characteristic
86	#19098460	C₂²	1	1	yes	characteristic
87	#19098460	C₂²	1	1	yes	characteristic
88	#19098459	C₂²	1	1	yes	characteristic
89	#19098459	C₂²	1	1	yes	characteristic
90	#19098459	C₂²	1	1	yes	characteristic
91	#19098459	C₂²	1	1	yes	characteristic
92	#19098459	C₂²	1	1	yes	characteristic
93	#19098458	C₂²	1	1	yes	characteristic
94	#19098458	C₂²	1	1	yes	characteristic
95	#19098458	C₂²	1	1	yes	characteristic
96	#19098458	C₂²	1	1	yes	characteristic
97	#19098458	C₂²	1	1	yes	characteristic
98	#19098458	C₂²	1	1	yes	characteristic
99	#19098458	C₂²	1	1	yes	characteristic
100	#19098458	C₂²	1	1	yes	characteristic
101	#19098458	C₂²	1	1	yes	characteristic
102	#19098458	C₂²	1	1	yes	characteristic
103	#19098457	C₂²	1	1	yes	characteristic
104	#19098457	C₂²	1	1	yes	characteristic
105	#19098455	C₂²	1	1	yes	characteristic
106	#19098455	C₂²	1	1	yes	characteristic
107	#19098453	C₂²	1	1	yes	characteristic
108	#19098453	C₂²	1	1	yes	characteristic
109	#19098451	C₂²	1	1	yes	characteristic
110	#19098451	C₂²	1	1	yes	characteristic
111	#19098450	C₂²	1	1	yes	characteristic
112	#19098449	C₂²	1	1	yes	characteristic
113	#19098449	C₂²	1	1	yes	characteristic
114	#19098448	C₂²	1	1	yes	characteristic
115	#19098448	C₂²	1	1	yes	characteristic
116	#19098446	C₂²	1	1	yes	characteristic
117	#19098445	C₂²	1	1	yes	characteristic
118	#19098445	C₂²	1	1	yes	characteristic
119	#19098444	C₂²	1	1	yes	characteristic
120	#19098444	C₂²	1	1	yes	characteristic
121	#19098444	C₂²	1	1	yes	characteristic
122	#19098444	C₂²	1	1	yes	characteristic
123	#19098438	C₂²	1	1	yes	characteristic
124	#19098437	C₂²	1	1	yes	characteristic
125	#19098437	C₂²	1	1	yes	characteristic
126	#19098435	C₂²	1	1	yes	characteristic
127	#19098435	C₂²	1	1	yes	characteristic
128	#19098435	C₂²	1	1	yes	characteristic
129	#19098435	C₂²	1	1	yes	characteristic
130	#19098435	C₂²	1	1	yes	characteristic
131	#19098434	C₂²	1	1	yes	characteristic
132	#19098434	C₂²	1	1	yes	characteristic
133	#19098434	C₂²	1	1	yes	characteristic
134	#19098434	C₂²	1	1	yes	characteristic
135	#19098432	C₂²	1	1	yes	characteristic
136	#19098427	C₂²	1	1	yes	characteristic
137	#19098427	C₂²	1	1	yes	characteristic
138	#19098421	C₂²	1	1	yes	characteristic
139	#19098420	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
142	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
143	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
144	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
145	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
146	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
147	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
148	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
149	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
150	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
152	C₄×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
153	C₄×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
154	C₄×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
155	#19098414	C₂²	1	1	yes	characteristic
156	#19098414	C₂²	1	1	yes	characteristic
157	#19098414	C₂²	1	1	yes	characteristic
158	#19098414	C₂²	1	1	yes	characteristic
159	#19098414	C₂²	1	1	yes	characteristic
160	#19098414	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×Dic₇₉	C₂²	1	1	yes	characteristic
163	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
167	#19098410	C₂²	1	1	yes	characteristic
168	#19098410	C₂²	1	1	yes	characteristic
169	C₄²×Dic₇₉	C₂²	1	1	yes	characteristic
170	C₄²×Dic₇₉	C₂²	1	1	yes	characteristic
171	C₄²×Dic₇₉	C₂²	1	1	yes	characteristic
172	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
173	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic
174	#400×C₇₉	C₂²	1	1	yes	characteristic
175	#399×C₇₉	C₂²	1	1	yes	characteristic
176	#398×C₇₉	C₂²	1	1	yes	characteristic
177	#398×C₇₉	C₂²	1	1	yes	characteristic
178	#396×C₇₉	C₂²	1	1	yes	characteristic
179	#396×C₇₉	C₂²	1	1	yes	characteristic
180	#395×C₇₉	C₂²	1	1	yes	characteristic
181	#393×C₇₉	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₄×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	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
190	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
195	#14579159	—	2	4	no	—
196	#14579151	—	2	4	no	—
197	#14579151	—	2	4	no	—
198	#14579138	—	2	4	no	—
199	#14579137	—	2	4	no	—
200	C₄×Dic₁₅₈	—	2	4	no	—
201	C₄×Dic₁₅₈	—	4	2	no	—
202	#14579126	—	2	4	no	—
203	#14579126	—	2	4	no	—
204	C₄×C₂²⋊D₇₉	Q₈	1	8	yes	complemented
205	(C₂²⋊D₇₉)⋊C₄	—	2	4	no	—
206	(C₂²⋊D₇₉)⋊C₄	—	2	4	no	—
207	#14579120	—	2	4	no	—
208	#14579118	—	2	4	no	—
209	#14579118	—	4	2	no	—
210	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
218	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₇₉⋊C₄	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×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₇₉	—	4	2	no	—
266	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
289	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	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₄×Q₈×C₇₉	—	4	2	no	—
327	#117×C₇₉	—	4	2	no	—
328	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
339	C₂×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×C₄²×C₇₉	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
350	C₂×C₄²×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	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
362	C₂×Dic₁₅₈	—	2	2	no	—
363	C₂×Dic₁₅₈	—	2	2	no	—
364	C₂×Dic₁₅₈	—	2	2	no	—
365	C₂×Dic₁₅₈	—	2	2	no	—
366	C₂×Dic₁₅₈	—	2	2	no	—
367	C₂×Dic₁₅₈	—	4	1	no	—
368	C₂×C₂²⋊D₇₉	—	2	2	no	—
369	C₂×C₂²⋊D₇₉	—	2	2	no	—
370	C₂×C₂²⋊D₇₉	C₂×Q₈	1	4	yes	—
371	C₂²×Dic₇₉	—	2	2	no	—
372	C₂²×Dic₇₉	—	2	2	no	—
373	C₂²×Dic₇₉	—	2	2	no	—
374	C₂²×Dic₇₉	—	4	1	no	—
375	C₂²×Dic₇₉	—	4	1	no	—
376	C₂²×Dic₇₉	—	4	1	no	—
377	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
388	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	C₂×C₄×D₇₉	—	2	2	no	—
393	C₂×C₄×D₇₉	—	2	2	no	—
394	C₂×C₄×D₇₉	—	2	2	no	—
395	C₂×C₄×D₇₉	—	2	2	no	—
396	C₂×C₄×D₇₉	—	2	2	no	—
397	C₂×C₄×D₇₉	—	4	1	no	—
398	C₂×C₄×D₇₉	—	4	1	no	—
399	C₂×C₄×D₇₉	—	4	1	no	—
400	C₂×C₄×D₇₉	C₂×Q₈	1	4	yes	—
401	C₄⋊Dic₇₉	—	2	2	no	—
402	C₄⋊Dic₇₉	—	2	2	no	—
403	C₄⋊Dic₇₉	—	2	2	no	—
404	C₄⋊Dic₇₉	—	2	2	no	—
405	C₄⋊Dic₇₉	—	2	2	no	—
406	C₄⋊Dic₇₉	—	2	2	no	—
407	C₄⋊Dic₇₉	—	2	2	no	—
408	C₄⋊Dic₇₉	—	4	1	no	—
409	Dic₇₉⋊C₄	—	2	2	no	—
410	Dic₇₉⋊C₄	—	2	2	no	—
411	Dic₇₉⋊C₄	—	2	2	no	—
412	Dic₇₉⋊C₄	—	2	2	no	—
413	Dic₇₉⋊C₄	—	2	2	no	—
414	Dic₇₉⋊C₄	—	2	2	no	—
415	Dic₇₉⋊C₄	—	2	2	no	—
416	Dic₇₉⋊C₄	—	2	2	no	—
417	Dic₇₉⋊C₄	—	2	2	no	—
418	Dic₇₉⋊C₄	—	2	2	no	—
419	Dic₇₉⋊C₄	—	2	2	no	—
420	Dic₇₉⋊C₄	—	2	2	no	—
421	Dic₇₉⋊C₄	—	2	2	no	—
422	Dic₇₉⋊C₄	—	2	2	no	—
423	Dic₇₉⋊C₄	—	2	2	no	—
424	Dic₇₉⋊C₄	—	2	2	no	—
425	Dic₇₉⋊C₄	—	2	2	no	—
426	Dic₇₉⋊C₄	—	2	2	no	—
427	Dic₇₉⋊C₄	—	2	2	no	—
428	Dic₇₉⋊C₄	—	2	2	no	—
429	Dic₇₉⋊C₄	—	4	1	no	—
430	Dic₇₉⋊C₄	—	4	1	no	—
431	Dic₇₉⋊C₄	—	4	1	no	—
432	Dic₇₉⋊C₄	—	4	1	no	—
433	Dic₇₉⋊C₄	—	4	1	no	—
434	Dic₇₉⋊C₄	—	4	1	no	—
435	Dic₇₉⋊C₄	—	4	1	no	—
436	Dic₇₉⋊C₄	—	4	1	no	—
437	Dic₇₉⋊C₄	C₂×Q₈	1	4	yes	—
438	Dic₇₉⋊C₄	#41	1	4	yes	—
439	Dic₇₉⋊C₄	#41	1	4	yes	—
440	C₂²⋊Dic₇₉	—	2	2	no	—
441	C₂²⋊Dic₇₉	—	2	2	no	—
442	C₂²⋊Dic₇₉	—	2	2	no	—
443	C₂²⋊Dic₇₉	—	4	1	no	—
444	C₂²⋊Dic₇₉	C₂×Q₈	1	4	yes	—
445	(C₂×D₇₉)⋊C₄	—	2	2	no	—
446	(C₂×D₇₉)⋊C₄	—	2	2	no	—
447	(C₂×D₇₉)⋊C₄	—	2	2	no	—
448	(C₂×D₇₉)⋊C₄	—	2	2	no	—
449	(C₂×D₇₉)⋊C₄	—	2	2	no	—
450	(C₂×D₇₉)⋊C₄	—	2	2	no	—
451	(C₂×D₇₉)⋊C₄	—	4	1	no	—
452	(C₂×D₇₉)⋊C₄	—	4	1	no	—
453	(C₂×D₇₉)⋊C₄	—	4	1	no	—
454	(C₂×D₇₉)⋊C₄	—	4	1	no	—
455	(C₂×D₇₉)⋊C₄	C₂×Q₈	1	4	yes	—
456	C₄×Dic₇₉	—	2	2	no	—
457	C₄×Dic₇₉	—	2	2	no	—
458	C₄×Dic₇₉	—	2	2	no	—
459	C₄×Dic₇₉	—	2	2	no	—
460	C₄×Dic₇₉	—	2	2	no	—
461	C₄×Dic₇₉	—	2	2	no	—
462	C₄×Dic₇₉	—	2	2	no	—
463	C₄×Dic₇₉	—	2	2	no	—
464	C₄×Dic₇₉	—	2	2	no	—
465	C₄×Dic₇₉	—	2	2	no	—
466	C₄×Dic₇₉	—	2	2	no	—
467	C₄×Dic₇₉	—	2	2	no	—
468	C₄×Dic₇₉	—	2	2	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	C₂×Q₈	1	4	yes	—
477	C₄×Dic₇₉	#41	1	4	yes	—
478	C₄×Dic₇₉	#41	1	4	yes	—
479	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
480	C₂×Q₈×C₇₉	—	2	2	no	—
481	C₂×Q₈×C₇₉	—	2	2	no	—
482	C₂×Q₈×C₇₉	—	4	1	no	—
483	C₂²×C₄×C₇₉	—	2	2	no	—
484	C₂²×C₄×C₇₉	—	2	2	no	—
485	C₂²×C₄×C₇₉	C₂×Q₈	1	4	yes	—
486	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
500	C₄⋊C₄×C₇₉	—	2	2	no	—
501	C₄⋊C₄×C₇₉	—	2	2	no	—
502	C₄⋊C₄×C₇₉	—	2	2	no	—
503	C₄⋊C₄×C₇₉	—	2	2	no	—
504	C₄⋊C₄×C₇₉	—	4	1	no	—
505	C₄⋊C₄×C₇₉	—	4	1	no	—
506	C₄⋊C₄×C₇₉	—	4	1	no	—
507	C₄⋊C₄×C₇₉	—	4	1	no	—
508	C₄⋊C₄×C₇₉	—	4	1	no	—
509	C₄⋊C₄×C₇₉	—	4	1	no	—
510	C₄⋊C₄×C₇₉	—	4	1	no	—
511	C₂²⋊C₄×C₇₉	—	2	2	no	—
512	C₂²⋊C₄×C₇₉	—	2	2	no	—
513	C₂²⋊C₄×C₇₉	—	2	2	no	—
514	C₂²⋊C₄×C₇₉	—	4	1	no	—
515	C₂²⋊C₄×C₇₉	—	4	1	no	—
516	C₂²⋊C₄×C₇₉	—	4	1	no	—
517	C₄²×C₇₉	—	2	2	no	—
518	C₄²×C₇₉	—	2	2	no	—
519	C₄²×C₇₉	—	2	2	no	—
520	C₄²×C₇₉	—	2	2	no	—
521	C₄²×C₇₉	—	2	2	no	—
522	C₄²×C₇₉	—	2	2	no	—
523	C₂³×C₇₉	—	2	1	no	—
524	C₂³×C₇₉	—	2	1	no	—
525	C₂³×C₇₉	—	2	1	no	—
526	C₂³×C₇₉	—	2	1	no	—
527	C₂³×C₇₉	—	2	1	no	—
528	C₂³×C₇₉	—	2	1	no	—
529	C₂³×C₇₉	C₂²×Q₈	1	2	yes	—
530	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
531	C₂²×D₇₉	—	2	1	no	—
532	C₂²×D₇₉	—	2	1	no	—
533	C₂²×D₇₉	—	2	1	no	—
534	C₂²×D₇₉	—	2	1	no	—
535	C₂²×D₇₉	—	2	1	no	—
536	C₂²×D₇₉	—	2	1	no	—
537	C₂²×D₇₉	C₂²×Q₈	1	2	yes	—
538	Q₈×C₇₉	—	4	4	no	—
539	C₂×C₄×C₇₉	—	2	1	no	—
540	C₂×C₄×C₇₉	—	2	1	no	—
541	C₂×C₄×C₇₉	—	2	1	no	—
542	C₂×C₄×C₇₉	—	2	1	no	—
543	C₂×C₄×C₇₉	—	2	1	no	—
544	C₂×C₄×C₇₉	—	2	1	no	—
545	C₂×C₄×C₇₉	—	2	1	no	—
546	C₂×C₄×C₇₉	—	2	1	no	—
547	C₂×C₄×C₇₉	—	2	8	no	—
548	C₂×C₄×C₇₉	—	2	1	no	—
549	C₂×C₄×C₇₉	—	2	1	no	—
550	C₂×C₄×C₇₉	—	2	1	no	—
551	C₂×C₄×C₇₉	—	2	1	no	—
552	C₂×C₄×C₇₉	—	2	1	no	—
553	C₂×C₄×C₇₉	—	2	1	no	—
554	C₂×C₄×C₇₉	—	2	1	no	—
555	C₂×C₄×C₇₉	—	2	1	no	—
556	C₂×C₄×C₇₉	—	2	1	no	—
557	C₂×C₄×C₇₉	—	2	1	no	—
558	C₂×C₄×C₇₉	—	2	1	no	—
559	C₂×C₄×C₇₉	—	2	1	no	—
560	C₂×C₄×C₇₉	—	2	1	no	—
561	C₂×C₄×C₇₉	—	2	1	no	—
562	C₂×C₄×C₇₉	—	2	1	no	—
563	C₂×C₄×C₇₉	—	2	1	no	—
564	C₂×C₄×C₇₉	—	2	1	no	—
565	C₂×C₄×C₇₉	—	2	1	no	—
566	C₂×C₄×C₇₉	—	2	1	no	—
567	C₂×C₄×C₇₉	—	2	1	no	—
568	C₂×C₄×C₇₉	—	2	1	no	—
569	C₂×C₄×C₇₉	—	2	1	no	—
570	C₂×C₄×C₇₉	—	2	1	no	—
571	C₂×C₄×C₇₉	—	2	1	no	—
572	C₂×C₄×C₇₉	—	2	1	no	—
573	C₂×C₄×C₇₉	—	2	1	no	—
574	C₂×C₄×C₇₉	—	2	1	no	—
575	C₂×C₄×C₇₉	C₂²×Q₈	1	2	yes	—
576	C₂×C₄×C₇₉	C₂²×Q₈	1	2	yes	—
577	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
578	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
579	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
580	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
581	C₂×C₄×C₇₉	H(5,𝔽₂)	1	2	yes	—
582	C₂²⋊D₇₉	—	2	8	no	—
583	C₂×Dic₇₉	—	2	1	no	—
584	C₂×Dic₇₉	—	2	1	no	—
585	C₂×Dic₇₉	—	2	1	no	—
586	C₂×Dic₇₉	—	2	1	no	—
587	C₂×Dic₇₉	—	2	1	no	—
588	C₂×Dic₇₉	—	2	1	no	—
589	C₂×Dic₇₉	—	2	1	no	—
590	C₂×Dic₇₉	—	2	1	no	—
591	C₂×Dic₇₉	—	2	1	no	—
592	C₂×Dic₇₉	—	2	1	no	—
593	C₂×Dic₇₉	—	2	1	no	—
594	C₂×Dic₇₉	—	2	1	no	—
595	C₂×Dic₇₉	—	2	1	no	—
596	C₂×Dic₇₉	—	2	1	no	—
597	C₂×Dic₇₉	—	2	1	no	—
598	C₂×Dic₇₉	—	2	1	no	—
599	C₂×Dic₇₉	—	2	1	no	—
600	C₂×Dic₇₉	—	2	1	no	—
601	C₂×Dic₇₉	—	2	1	no	—
602	C₂×Dic₇₉	—	2	1	no	—
603	C₂×Dic₇₉	—	2	1	no	—
604	C₂×Dic₇₉	—	2	1	no	—
605	C₂×Dic₇₉	—	2	1	no	—
606	C₂×Dic₇₉	—	2	1	no	—
607	C₂×Dic₇₉	—	2	1	no	—
608	C₂×Dic₇₉	—	2	1	no	—
609	C₂×Dic₇₉	—	2	1	no	—
610	C₂×Dic₇₉	—	2	1	no	—
611	C₂×Dic₇₉	—	2	1	no	—
612	C₂×Dic₇₉	—	2	1	no	—
613	C₂×Dic₇₉	—	2	1	no	—
614	C₂×Dic₇₉	—	2	1	no	—
615	C₂×Dic₇₉	—	2	1	no	—
616	C₂×Dic₇₉	—	2	1	no	—
617	C₂×Dic₇₉	—	4	4	no	—
618	C₂×Dic₇₉	—	4	4	no	—
619	C₂×Dic₇₉	C₂²×Q₈	1	2	yes	—
620	C₂×Dic₇₉	C₂²×Q₈	1	2	yes	—
621	C₂×Dic₇₉	C₂²×Q₈	1	2	yes	—
622	C₂×Dic₇₉	C₂×#41	1	2	yes	—
623	C₂×Dic₇₉	C₂×#41	1	2	yes	—
624	C₂×Dic₇₉	C₂×#41	1	2	yes	—
625	C₂×Dic₇₉	C₂×#41	1	2	yes	—
626	C₂×Dic₇₉	C₂×#41	1	2	yes	—
627	C₂×Dic₇₉	C₂×#41	1	2	yes	—
628	C₂×Dic₇₉	C₂×#41	1	2	yes	—
629	C₂×Dic₇₉	C₂×#41	1	2	yes	—
630	C₄×D₇₉	—	2	8	no	—
631	C₄×D₇₉	—	4	4	no	—
632	C₄×D₇₉	—	4	4	no	—
633	Dic₁₅₈	—	2	8	no	—
634	Dic₁₅₈	—	4	4	no	—
635	C₂²×C₇₉	—	2	2	no	—
636	C₂²×C₇₉	—	2	2	no	—
637	C₂²×C₇₉	—	2	2	no	—
638	C₂²×C₇₉	—	4	1	no	—
639	C₂²×C₇₉	—	4	1	no	—
640	C₂²×C₇₉	—	4	1	no	—
641	C₂²×C₇₉	—	4	1	no	—
642	C₂²×C₇₉	C₂³×Q₈	1	1	yes	characteristic
643	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
644	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
645	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
646	C₂²×C₇₉	C₂²×#41	1	1	yes	characteristic
647	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
648	C₂²×C₇₉	#585	1	1	yes	characteristic
649	C₂×D₇₉	—	2	2	no	—
650	C₂×D₇₉	—	2	2	no	—
651	C₂×D₇₉	—	2	2	no	—
652	C₂×D₇₉	—	4	1	no	—
653	C₂×D₇₉	—	4	1	no	—
654	C₂×D₇₉	—	4	1	no	—
655	C₂×D₇₉	—	4	1	no	—
656	C₄×C₇₉	—	2	2	no	—
657	C₄×C₇₉	—	2	2	no	—
658	C₄×C₇₉	—	2	2	no	—
659	C₄×C₇₉	—	2	2	no	—
660	C₄×C₇₉	—	4	1	no	—
661	C₄×C₇₉	—	4	1	no	—
662	C₄×C₇₉	—	4	1	no	—
663	C₄×C₇₉	—	4	1	no	—
664	C₄×C₇₉	—	4	1	no	—
665	C₄×C₇₉	—	4	1	no	—
666	C₄×C₇₉	—	4	1	no	—
667	C₄×C₇₉	—	4	1	no	—
668	C₄×C₇₉	—	4	1	no	—
669	C₄×C₇₉	#554	1	4	yes	—
670	Dic₇₉	—	2	2	no	—
671	Dic₇₉	—	2	2	no	—
672	Dic₇₉	—	2	2	no	—
673	Dic₇₉	—	2	2	no	—
674	Dic₇₉	—	2	2	no	—
675	Dic₇₉	—	2	2	no	—
676	Dic₇₉	—	2	2	no	—
677	Dic₇₉	—	2	2	no	—
678	Dic₇₉	—	4	1	no	—
679	Dic₇₉	—	4	1	no	—
680	Dic₇₉	—	4	1	no	—
681	Dic₇₉	—	4	1	no	—
682	Dic₇₉	—	4	1	no	—
683	Dic₇₉	—	4	1	no	—
684	Dic₇₉	#533	1	4	yes	—
685	#34893	—	79	1	no	maximal, Sylow
686	C₂×C₇₉	—	4	2	no	—
687	C₂×C₇₉	C₂×#533	1	1	yes	characteristic
688	C₂×C₇₉	#3444	1	1	yes	characteristic
689	C₂×C₇₉	#3460	1	1	yes	characteristic
690	C₂×C₇₉	C₂×#554	1	1	yes	characteristic
691	C₂×C₇₉	Q₈×#41	1	1	yes	characteristic
692	C₂×C₇₉	#3480	1	1	yes	characteristic
693	C₂×C₇₉	#3481	1	1	yes	characteristic
694	D₇₉	—	4	2	no	—
695	#2589	—	79	1	no	—
696	#2589	—	79	1	no	—
697	#2587	—	79	1	no	—
698	#2587	—	79	1	no	—
699	#2584	—	79	1	no	—
700	#2580	—	79	1	no	—
701	#2566	—	79	1	no	—
702	#2550	—	79	1	no	—
703	#2522	—	79	1	no	—
704	#2522	—	79	1	no	—
705	#2509	—	79	1	no	—
706	#2507	—	79	1	no	—
707	#2465	—	79	1	no	—
708	#2465	—	79	1	no	—
709	#2454	—	79	1	no	—
710	#2452	—	79	1	no	—
711	#2396	—	79	1	no	—
712	#2396	—	79	1	no	—
713	#2396	—	79	1	no	—
714	#2396	D₇₉	1	1	yes	characteristic, complemented
715	C₄×C₄⋊Q₈	—	79	1	no	—
716	C₄×#125	—	79	1	no	—
717	C₄×#125	—	79	1	no	—
718	C₄×C₂²⋊Q₈	—	79	1	no	—
719	C₄×C₂²⋊Q₈	—	79	1	no	—
720	#2296	—	79	1	no	—
721	#2296	—	79	1	no	—
722	#2293	—	79	1	no	—
723	#2293	—	79	1	no	—
724	C₄²×Q₈	—	79	1	no	—
725	C₄²×D₄	—	79	1	no	—
726	C₇₉	#34893	1	1	yes	characteristic, complemented, Sylow
727	C₂×C₄⋊Q₈	—	79	1	no	—
728	C₂×#125	—	79	1	no	—
729	C₂×#125	—	79	1	no	—
730	C₂×C₂²⋊Q₈	—	79	1	no	—
731	C₂×C₂²⋊Q₈	—	79	1	no	—
732	C₂×C₄×Q₈	—	79	1	no	—
733	C₂×C₄×Q₈	—	79	1	no	—
734	C₂×C₄×Q₈	—	79	1	no	—
735	C₂×C₄×Q₈	—	79	1	no	—
736	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic
737	C₂×C₄×D₄	—	79	1	no	—
738	C₂×C₄×D₄	—	79	1	no	—
739	C₂×C₄×D₄	—	79	1	no	—
740	C₂×#117	—	79	1	no	—
741	C₂×#117	—	79	1	no	—
742	C₂×#117	—	79	1	no	—
743	C₂×#117	C₂×D₇₉	1	1	yes	characteristic
744	C₂²×C₄²	—	79	1	no	—
745	C₂²×C₄²	—	79	1	no	—
746	#400	—	79	1	no	—
747	#400	—	79	1	no	—
748	#400	—	79	1	no	—
749	#400	C₂×D₇₉	1	1	yes	characteristic
750	#399	—	79	1	no	—
751	#399	—	79	1	no	—
752	#399	—	79	1	no	—
753	#399	C₂×D₇₉	1	1	yes	characteristic
754	#398	—	79	1	no	—
755	#398	—	79	1	no	—
756	#398	—	79	1	no	—
757	#398	—	79	1	no	—
758	#398	—	79	1	no	—
759	#398	—	79	1	no	—
760	#398	C₂×D₇₉	1	1	yes	characteristic
761	#398	C₂×D₇₉	1	1	yes	characteristic
762	#396	—	79	1	no	—
763	#396	—	79	1	no	—
764	#396	—	79	1	no	—
765	#396	—	79	1	no	—
766	#396	—	79	1	no	—
767	#396	—	79	1	no	—
768	#396	C₂×D₇₉	1	1	yes	characteristic
769	#396	C₂×D₇₉	1	1	yes	characteristic
770	#395	—	79	1	no	—
771	#395	—	79	1	no	—
772	#395	—	79	1	no	—
773	#395	C₂×D₇₉	1	1	yes	characteristic
774	#393	—	79	1	no	—
775	#393	—	79	1	no	—
776	#393	—	79	1	no	—
777	#393	C₂×D₇₉	1	1	yes	characteristic
778	#391	—	79	1	no	—
779	#391	—	79	1	no	—
780	#391	—	79	1	no	—
781	#391	—	79	1	no	—
782	#390	—	79	1	no	—
783	#390	—	79	1	no	—
784	#390	—	79	1	no	—
785	#390	—	79	1	no	—
786	#389	—	79	1	no	—
787	#389	—	79	1	no	—
788	#389	—	79	1	no	—
789	#389	—	79	1	no	—
790	#389	—	79	1	no	—
791	#389	—	79	1	no	—
792	#389	—	79	1	no	—
793	#389	—	79	1	no	—
794	#389	—	79	1	no	—
795	#389	—	79	1	no	—
796	#389	—	79	1	no	—
797	#389	—	79	1	no	—
798	#389	—	79	1	no	—
799	#389	—	79	1	no	—
800	#389	—	79	1	no	—
801	#389	—	79	1	no	—
802	#389	—	79	1	no	—
803	#389	—	79	1	no	—
804	#389	—	79	1	no	—
805	#389	—	79	1	no	—
806	#389	—	79	1	no	—
807	#389	—	79	1	no	—
808	#388	—	79	1	no	—
809	#388	—	79	1	no	—
810	#388	—	79	1	no	—
811	#388	—	79	1	no	—
812	#388	—	79	1	no	—
813	#388	—	79	1	no	—
814	#388	—	79	1	no	—
815	#388	—	79	1	no	—
816	#387	—	79	1	no	—
817	#387	—	79	1	no	—
818	#387	—	79	1	no	—
819	#387	—	79	1	no	—
820	#387	—	79	1	no	—
821	#387	—	79	1	no	—
822	#387	—	79	1	no	—
823	#387	—	79	1	no	—
824	#387	—	79	1	no	—
825	#387	—	79	1	no	—
826	#387	—	79	1	no	—
827	#387	—	79	1	no	—
828	#385	—	79	1	no	—
829	#385	—	79	1	no	—
830	#385	—	79	1	no	—
831	#385	—	79	1	no	—
832	#385	—	79	1	no	—
833	#385	—	79	1	no	—
834	#385	—	79	1	no	—
835	#385	—	79	1	no	—
836	#385	—	79	1	no	—
837	#385	—	79	1	no	—
838	#385	—	79	1	no	—
839	#385	—	79	1	no	—
840	#384	—	79	1	no	—
841	#382	—	79	1	no	—
842	#382	—	79	1	no	—
843	#380	—	79	1	no	—
844	#380	—	79	1	no	—
845	C₄×C₄⋊C₄	—	79	1	no	—
846	C₄×C₄⋊C₄	—	79	1	no	—
847	C₄×C₄⋊C₄	—	79	1	no	—
848	C₄×C₄⋊C₄	—	79	1	no	—
849	C₄×C₄⋊C₄	—	79	1	no	—
850	C₄×C₄⋊C₄	—	79	1	no	—
851	C₄×C₄⋊C₄	—	79	1	no	—
852	C₄×C₄⋊C₄	—	79	1	no	—
853	C₄×C₄⋊C₄	—	79	1	no	—
854	C₄×C₄⋊C₄	—	79	1	no	—
855	C₄×C₄⋊C₄	—	79	1	no	—
856	C₄×C₄⋊C₄	—	79	1	no	—
857	C₄×C₄⋊C₄	—	79	1	no	—
858	C₄×C₄⋊C₄	—	79	1	no	—
859	C₄×C₄⋊C₄	—	79	1	no	—
860	C₄×C₄⋊C₄	—	79	1	no	—
861	C₄×C₄⋊C₄	—	79	1	no	—
862	C₄×C₄⋊C₄	—	79	1	no	—
863	C₄×C₄⋊C₄	—	79	1	no	—
864	C₄×C₄⋊C₄	—	79	1	no	—
865	C₄×C₄⋊C₄	—	79	1	no	—
866	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
867	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
868	C₄×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
869	C₄×C₂²⋊C₄	—	79	1	no	—
870	C₄×C₂²⋊C₄	—	79	1	no	—
871	C₄×C₂²⋊C₄	—	79	1	no	—
872	C₄×C₂²⋊C₄	—	79	1	no	—
873	C₄×C₂²⋊C₄	—	79	1	no	—
874	C₄×C₂²⋊C₄	—	79	1	no	—
875	C₄×C₂²⋊C₄	—	79	1	no	—
876	C₄×C₂²⋊C₄	—	79	1	no	—
877	C₄×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
878	C₄×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
879	C₄³	—	79	1	no	—
880	C₄³	—	79	1	no	—
881	C₄³	—	79	1	no	—
882	C₂²×Q₈	—	79	1	no	—
883	C₂²×Q₈	—	79	1	no	—
884	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
885	C₂²×D₄	—	79	1	no	—
886	C₂³×C₄	—	79	1	no	—
887	C₂³×C₄	—	79	1	no	—
888	C₂³×C₄	—	79	1	no	—
889	C₂³×C₄	—	79	1	no	—
890	C₂³×C₄	—	79	1	no	—
891	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
892	C₄⋊Q₈	—	158	4	no	—
893	#125	—	158	4	no	—
894	#125	—	158	4	no	—
895	C₂²⋊Q₈	—	158	4	no	—
896	C₂²⋊Q₈	—	158	4	no	—
897	C₄×Q₈	—	4	2	no	—
898	C₄×Q₈	—	316	2	no	—
899	C₄×Q₈	—	158	4	no	—
900	C₄×Q₈	—	158	4	no	—
901	C₄×Q₈	—	158	4	no	—
902	C₄×D₄	—	79	8	no	—
903	C₄×D₄	—	158	4	no	—
904	C₄×D₄	—	158	4	no	—
905	#117	—	4	2	no	—
906	#117	—	316	2	no	—
907	#117	—	158	4	no	—
908	#117	—	158	4	no	—
909	C₂×C₄⋊C₄	—	79	1	no	—
910	C₂×C₄⋊C₄	—	79	1	no	—
911	C₂×C₄⋊C₄	—	79	1	no	—
912	C₂×C₄⋊C₄	—	79	1	no	—
913	C₂×C₄⋊C₄	—	79	1	no	—
914	C₂×C₄⋊C₄	—	79	1	no	—
915	C₂×C₄⋊C₄	—	79	1	no	—
916	C₂×C₄⋊C₄	—	79	1	no	—
917	C₂×C₄⋊C₄	—	79	1	no	—
918	C₂×C₄⋊C₄	—	79	1	no	—
919	C₂×C₄⋊C₄	—	79	1	no	—
920	C₂×C₄⋊C₄	—	79	1	no	—
921	C₂×C₄⋊C₄	—	79	1	no	—
922	C₂×C₄⋊C₄	—	79	1	no	—
923	C₂×C₄⋊C₄	—	79	1	no	—
924	C₂×C₄⋊C₄	—	79	1	no	—
925	C₂×C₄⋊C₄	—	79	1	no	—
926	C₂×C₄⋊C₄	—	79	1	no	—
927	C₂×C₄⋊C₄	—	79	1	no	—
928	C₂×C₄⋊C₄	—	79	1	no	—
929	C₂×C₄⋊C₄	—	79	1	no	—
930	C₂×C₄⋊C₄	—	79	1	no	—
931	C₂×C₄⋊C₄	—	79	1	no	—
932	C₂×C₄⋊C₄	—	79	1	no	—
933	C₂×C₄⋊C₄	—	79	1	no	—
934	C₂×C₄⋊C₄	—	79	1	no	—
935	C₂×C₄⋊C₄	—	79	1	no	—
936	C₂×C₄⋊C₄	—	79	1	no	—
937	C₂×C₄⋊C₄	—	79	1	no	—
938	C₂×C₄⋊C₄	—	79	1	no	—
939	C₂×C₄⋊C₄	—	79	1	no	—
940	C₂×C₄⋊C₄	—	79	1	no	—
941	C₂×C₄⋊C₄	—	79	1	no	—
942	C₂×C₄⋊C₄	—	79	1	no	—
943	C₂×C₄⋊C₄	—	79	1	no	—
944	C₂×C₄⋊C₄	—	79	1	no	—
945	C₂×C₄⋊C₄	—	79	1	no	—
946	C₂×C₄⋊C₄	—	79	1	no	—
947	C₂×C₄⋊C₄	—	79	1	no	—
948	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	—	79	1	no	—
960	C₂×C₂²⋊C₄	—	79	1	no	—
961	C₂×C₂²⋊C₄	—	79	1	no	—
962	C₂×C₂²⋊C₄	—	79	1	no	—
963	C₂×C₂²⋊C₄	—	79	1	no	—
964	C₂×C₂²⋊C₄	—	79	1	no	—
965	C₂×C₂²⋊C₄	—	79	1	no	—
966	C₂×C₂²⋊C₄	—	79	1	no	—
967	C₂×C₂²⋊C₄	—	79	1	no	—
968	C₂×C₂²⋊C₄	—	79	1	no	—
969	C₂×C₂²⋊C₄	—	79	1	no	—
970	C₂×C₂²⋊C₄	—	79	1	no	—
971	C₂×C₂²⋊C₄	—	79	1	no	—
972	C₂×C₂²⋊C₄	—	79	1	no	—
973	C₂×C₂²⋊C₄	—	79	1	no	—
974	C₂×C₂²⋊C₄	—	79	1	no	—
975	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
981	C₂×C₄²	—	316	2	no	—
982	C₂×C₄²	—	316	2	no	—
983	C₂×C₄²	—	79	1	no	—
984	C₂×C₄²	—	79	1	no	—
985	C₂×C₄²	—	79	1	no	—
986	C₂×C₄²	—	79	1	no	—
987	C₂×C₄²	—	79	1	no	—
988	C₂×C₄²	—	79	1	no	—
989	C₂×C₄²	—	79	1	no	—
990	C₂×C₄²	—	79	1	no	—
991	C₂×C₄²	—	79	1	no	—
992	C₂×C₄²	—	79	1	no	—
993	C₂×C₄²	—	79	1	no	—
994	C₂×C₄²	—	79	1	no	—
995	C₂×C₄²	—	79	1	no	—
996	C₂×C₄²	—	79	1	no	—
997	C₂×C₄²	—	79	1	no	—
998	C₂×C₄²	—	79	1	no	—
999	C₂×C₄²	—	79	1	no	—
1000	C₂×C₄²	—	79	1	no	—
1001	C₂×C₄²	—	79	1	no	—
1002	C₂×C₄²	—	79	1	no	—
1003	C₂×C₄²	—	79	1	no	—
1004	C₂×C₄²	—	79	1	no	—
1005	C₂×C₄²	—	79	1	no	—
1006	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1007	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1008	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1009	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1010	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1011	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1012	#95	—	79	1	no	—
1013	#95	—	79	1	no	—
1014	#95	—	79	1	no	—
1015	#95	—	79	1	no	—
1016	#95	—	79	1	no	—
1017	#95	—	79	1	no	—
1018	#95	—	79	1	no	—
1019	#95	—	79	1	no	—
1020	#95	—	79	1	no	—
1021	#95	—	79	1	no	—
1022	#95	—	79	1	no	—
1023	#95	—	79	1	no	—
1024	#95	—	79	1	no	—
1025	#95	—	79	1	no	—
1026	#95	—	79	1	no	—
1027	#95	—	79	1	no	—
1028	#95	—	79	1	no	—
1029	#95	—	79	1	no	—
1030	#95	—	79	1	no	—
1031	#95	—	79	1	no	—
1032	#95	—	79	1	no	—
1033	#95	—	79	1	no	—
1034	#95	—	79	1	no	—
1035	#95	—	79	1	no	—
1036	#95	—	79	1	no	—
1037	#95	—	79	1	no	—
1038	#95	—	79	1	no	—
1039	#95	—	79	1	no	—
1040	#95	—	79	1	no	—
1041	#95	—	79	1	no	—
1042	#95	—	79	1	no	—
1043	#95	—	79	1	no	—
1044	#95	—	79	1	no	—
1045	#95	—	79	1	no	—
1046	#95	C₂²×D₇₉	1	1	yes	characteristic
1047	#95	C₂²×D₇₉	1	1	yes	characteristic
1048	#95	C₂²×D₇₉	1	1	yes	characteristic
1049	#95	C₂²×D₇₉	1	1	yes	characteristic
1050	#95	C₂²×D₇₉	1	1	yes	characteristic
1051	#95	C₂²×D₇₉	1	1	yes	characteristic
1052	#95	C₂²×D₇₉	1	1	yes	characteristic
1053	#95	C₂²×D₇₉	1	1	yes	characteristic
1054	#95	C₂²×D₇₉	1	1	yes	characteristic
1055	#95	C₂²×D₇₉	1	1	yes	characteristic
1056	C₂⁴	—	79	1	no	—
1057	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1058	C₂×Q₈	—	2	2	no	—
1059	C₂×Q₈	—	2	2	no	—
1060	C₂×Q₈	—	4	1	no	—
1061	C₂×Q₈	—	316	1	no	—
1062	C₂×Q₈	—	158	2	no	—
1063	C₂×Q₈	—	158	2	no	—
1064	C₂×Q₈	—	158	2	no	—
1065	C₂×Q₈	—	158	2	no	—
1066	C₂×Q₈	—	158	2	no	—
1067	C₂×D₄	—	79	4	no	—
1068	C₂×D₄	—	158	2	no	—
1069	C₂×D₄	—	158	2	no	—
1070	C₂²×C₄	—	2	2	no	—
1071	C₂²×C₄	—	2	2	no	—
1072	C₂²×C₄	—	316	1	no	—
1073	C₂²×C₄	—	316	1	no	—
1074	C₂²×C₄	—	316	1	no	—
1075	C₂²×C₄	—	316	1	no	—
1076	C₂²×C₄	—	316	1	no	—
1077	C₂²×C₄	—	316	1	no	—
1078	C₂²×C₄	—	79	1	no	—
1079	C₂²×C₄	—	79	1	no	—
1080	C₂²×C₄	—	79	1	no	—
1081	C₂²×C₄	—	79	1	no	—
1082	C₂²×C₄	—	79	1	no	—
1083	C₂²×C₄	—	79	1	no	—
1084	C₂²×C₄	—	79	1	no	—
1085	C₂²×C₄	—	79	1	no	—
1086	C₂²×C₄	—	79	1	no	—
1087	C₂²×C₄	—	79	4	no	—
1088	C₂²×C₄	—	79	1	no	—
1089	C₂²×C₄	—	79	1	no	—
1090	C₂²×C₄	—	79	1	no	—
1091	C₂²×C₄	—	79	1	no	—
1092	C₂²×C₄	—	79	1	no	—
1093	C₂²×C₄	—	79	1	no	—
1094	C₂²×C₄	—	158	2	no	—
1095	C₂²×C₄	—	158	2	no	—
1096	C₂²×C₄	—	158	2	no	—
1097	C₂²×C₄	—	158	2	no	—
1098	C₂²×C₄	—	158	2	no	—
1099	C₂²×C₄	—	158	2	no	—
1100	C₂²×C₄	—	158	2	no	—
1101	C₂²×C₄	—	158	2	no	—
1102	C₂²×C₄	Q₈×D₇₉	1	4	yes	—
1103	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1117	C₄⋊C₄	—	2	2	no	—
1118	C₄⋊C₄	—	2	2	no	—
1119	C₄⋊C₄	—	2	2	no	—
1120	C₄⋊C₄	—	2	2	no	—
1121	C₄⋊C₄	—	4	1	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	—	4	1	no	—
1128	C₄⋊C₄	—	316	1	no	—
1129	C₄⋊C₄	—	316	1	no	—
1130	C₄⋊C₄	—	316	1	no	—
1131	C₄⋊C₄	—	316	1	no	—
1132	C₄⋊C₄	—	316	1	no	—
1133	C₄⋊C₄	—	316	1	no	—
1134	C₄⋊C₄	—	316	1	no	—
1135	C₄⋊C₄	—	316	1	no	—
1136	C₄⋊C₄	—	316	1	no	—
1137	C₄⋊C₄	—	79	4	no	—
1138	C₄⋊C₄	—	79	4	no	—
1139	C₄⋊C₄	—	79	4	no	—
1140	C₄⋊C₄	—	158	2	no	—
1141	C₄⋊C₄	—	158	2	no	—
1142	C₄⋊C₄	—	158	2	no	—
1143	C₄⋊C₄	—	158	2	no	—
1144	C₄⋊C₄	—	158	2	no	—
1145	C₄⋊C₄	—	158	2	no	—
1146	C₄⋊C₄	—	158	2	no	—
1147	C₄⋊C₄	—	158	2	no	—
1148	C₄⋊C₄	—	158	2	no	—
1149	C₄⋊C₄	—	158	2	no	—
1150	C₄⋊C₄	—	158	2	no	—
1151	C₄⋊C₄	—	158	2	no	—
1152	C₄⋊C₄	—	158	2	no	—
1153	C₄⋊C₄	—	158	2	no	—
1154	C₄⋊C₄	—	158	2	no	—
1155	C₄⋊C₄	—	158	2	no	—
1156	C₄⋊C₄	—	158	2	no	—
1157	C₄⋊C₄	—	158	2	no	—
1158	C₄⋊C₄	—	158	2	no	—
1159	C₄⋊C₄	—	158	2	no	—
1160	C₄⋊C₄	—	158	2	no	—
1161	C₄⋊C₄	—	158	2	no	—
1162	C₄⋊C₄	—	158	2	no	—
1163	C₄⋊C₄	—	158	2	no	—
1164	C₄⋊C₄	—	158	2	no	—
1165	C₄⋊C₄	—	158	2	no	—
1166	C₄⋊C₄	—	158	2	no	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	2	2	no	—
1169	C₂²⋊C₄	—	2	2	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊C₄	—	4	1	no	—
1172	C₂²⋊C₄	—	4	1	no	—
1173	C₂²⋊C₄	—	316	1	no	—
1174	C₂²⋊C₄	—	316	1	no	—
1175	C₂²⋊C₄	—	316	1	no	—
1176	C₂²⋊C₄	—	316	1	no	—
1177	C₂²⋊C₄	—	316	1	no	—
1178	C₂²⋊C₄	—	79	4	no	—
1179	C₂²⋊C₄	—	79	4	no	—
1180	C₂²⋊C₄	—	158	2	no	—
1181	C₂²⋊C₄	—	158	2	no	—
1182	C₂²⋊C₄	—	158	2	no	—
1183	C₂²⋊C₄	—	158	2	no	—
1184	C₂²⋊C₄	—	158	2	no	—
1185	C₂²⋊C₄	—	158	2	no	—
1186	C₂²⋊C₄	—	158	2	no	—
1187	C₂²⋊C₄	—	158	2	no	—
1188	C₂²⋊C₄	—	158	2	no	—
1189	C₄²	—	2	2	no	—
1190	C₄²	—	2	2	no	—
1191	C₄²	—	2	2	no	—
1192	C₄²	—	2	2	no	—
1193	C₄²	—	2	2	no	—
1194	C₄²	—	2	2	no	—
1195	C₄²	—	316	1	no	—
1196	C₄²	—	316	1	no	—
1197	C₄²	—	316	1	no	—
1198	C₄²	—	316	1	no	—
1199	C₄²	—	316	1	no	—
1200	C₄²	—	316	1	no	—
1201	C₄²	—	316	1	no	—
1202	C₄²	—	79	4	no	—
1203	C₄²	—	79	4	no	—
1204	C₄²	—	79	4	no	—
1205	C₄²	—	158	2	no	—
1206	C₄²	—	158	2	no	—
1207	C₄²	—	158	2	no	—
1208	C₄²	—	158	2	no	—
1209	C₄²	—	158	2	no	—
1210	C₄²	—	158	2	no	—
1211	C₄²	—	158	2	no	—
1212	C₄²	—	158	2	no	—
1213	C₄²	—	158	2	no	—
1214	C₄²	—	158	2	no	—
1215	C₄²	—	158	2	no	—
1216	C₄²	—	158	2	no	—
1217	C₄²	—	158	2	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	79	2	no	—
1225	C₂³	—	158	1	no	—
1226	C₂³	—	158	1	no	—
1227	C₂³	—	158	1	no	—
1228	C₂³	—	158	1	no	—
1229	C₂³	—	158	1	no	—
1230	C₂³	—	158	1	no	—
1231	C₂³	C₂×Q₈×D₇₉	1	2	yes	—
1232	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1233	Q₈	—	4	4	no	—
1234	Q₈	—	316	4	no	—
1235	Q₈	—	158	8	no	—
1236	D₄	—	158	8	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	8	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	316	4	no	—
1274	C₂×C₄	—	316	4	no	—
1275	C₂×C₄	—	316	4	no	—
1276	C₂×C₄	—	316	4	no	—
1277	C₂×C₄	—	79	2	no	—
1278	C₂×C₄	—	79	2	no	—
1279	C₂×C₄	—	79	2	no	—
1280	C₂×C₄	—	79	2	no	—
1281	C₂×C₄	—	79	2	no	—
1282	C₂×C₄	—	79	2	no	—
1283	C₂×C₄	—	79	2	no	—
1284	C₂×C₄	—	79	2	no	—
1285	C₂×C₄	—	79	2	no	—
1286	C₂×C₄	—	79	2	no	—
1287	C₂×C₄	—	79	2	no	—
1288	C₂×C₄	—	158	1	no	—
1289	C₂×C₄	—	158	1	no	—
1290	C₂×C₄	—	158	1	no	—
1291	C₂×C₄	—	158	1	no	—
1292	C₂×C₄	—	158	1	no	—
1293	C₂×C₄	—	158	1	no	—
1294	C₂×C₄	—	158	1	no	—
1295	C₂×C₄	—	158	1	no	—
1296	C₂×C₄	—	158	1	no	—
1297	C₂×C₄	—	158	1	no	—
1298	C₂×C₄	—	158	1	no	—
1299	C₂×C₄	—	158	1	no	—
1300	C₂×C₄	—	158	1	no	—
1301	C₂×C₄	—	158	1	no	—
1302	C₂×C₄	—	158	1	no	—
1303	C₂×C₄	—	158	1	no	—
1304	C₂×C₄	—	158	1	no	—
1305	C₂×C₄	—	158	1	no	—
1306	C₂×C₄	—	158	1	no	—
1307	C₂×C₄	—	158	1	no	—
1308	C₂×C₄	—	158	1	no	—
1309	C₂×C₄	—	158	1	no	—
1310	C₂×C₄	—	158	1	no	—
1311	C₂×C₄	—	158	1	no	—
1312	C₂×C₄	—	158	1	no	—
1313	C₂×C₄	—	158	1	no	—
1314	C₂×C₄	—	158	1	no	—
1315	C₂×C₄	—	158	1	no	—
1316	C₂×C₄	—	158	1	no	—
1317	C₂×C₄	—	158	1	no	—
1318	C₂×C₄	—	158	1	no	—
1319	C₂×C₄	—	158	1	no	—
1320	C₂×C₄	—	158	1	no	—
1321	C₂×C₄	—	158	1	no	—
1322	C₂×C₄	—	158	8	no	—
1323	C₂×C₄	C₂×Q₈×D₇₉	1	2	yes	—
1324	C₂×C₄	C₂×Q₈×D₇₉	1	2	yes	—
1325	C₂×C₄	#41×D₇₉	1	2	yes	—
1326	C₂×C₄	#41×D₇₉	1	2	yes	—
1327	C₂×C₄	#41×D₇₉	1	2	yes	—
1328	C₂×C₄	#41×D₇₉	1	2	yes	—
1329	C₂×C₄	#14579206	1	2	yes	—
1330	C₂²	—	2	2	no	—
1331	C₂²	—	2	2	no	—
1332	C₂²	—	2	2	no	—
1333	C₂²	—	4	1	no	—
1334	C₂²	—	4	1	no	—
1335	C₂²	—	4	1	no	—
1336	C₂²	—	4	1	no	—
1337	C₂²	—	316	1	no	—
1338	C₂²	—	316	1	no	—
1339	C₂²	—	316	1	no	—
1340	C₂²	—	316	1	no	—
1341	C₂²	—	158	2	no	—
1342	C₂²	—	158	2	no	—
1343	C₂²	—	158	2	no	—
1344	C₂²	C₂²×Q₈×D₇₉	1	1	yes	characteristic
1345	C₂²	C₂×#41×D₇₉	1	1	yes	characteristic
1346	C₂²	C₂×#41×D₇₉	1	1	yes	characteristic
1347	C₂²	C₂×#41×D₇₉	1	1	yes	characteristic
1348	C₂²	C₂×#41×D₇₉	1	1	yes	characteristic
1349	C₂²	C₂×#14579206	1	1	yes	characteristic
1350	C₂²	#19099399	1	1	yes	characteristic
1351	C₄	—	2	2	no	—
1352	C₄	—	2	2	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	4	1	no	—
1356	C₄	—	4	1	no	—
1357	C₄	—	4	1	no	—
1358	C₄	—	4	1	no	—
1359	C₄	—	4	1	no	—
1360	C₄	—	4	1	no	—
1361	C₄	—	4	1	no	—
1362	C₄	—	4	1	no	—
1363	C₄	—	4	1	no	—
1364	C₄	—	316	1	no	—
1365	C₄	—	316	1	no	—
1366	C₄	—	316	1	no	—
1367	C₄	—	316	1	no	—
1368	C₄	—	316	1	no	—
1369	C₄	—	316	1	no	—
1370	C₄	—	79	4	no	—
1371	C₄	—	158	2	no	—
1372	C₄	—	158	2	no	—
1373	C₄	—	158	2	no	—
1374	C₄	—	158	2	no	—
1375	C₄	—	158	2	no	—
1376	C₄	—	158	2	no	—
1377	C₄	—	158	2	no	—
1378	C₄	—	158	2	no	—
1379	C₄	#19099267	1	4	yes	—
1380	C₂	—	4	2	no	—
1381	C₂	—	316	2	no	—
1382	C₂	#533×D₇₉	1	1	yes	characteristic
1383	C₂	#23776694	1	1	yes	characteristic
1384	C₂	#23776814	1	1	yes	characteristic
1385	C₂	C₂×#19099267	1	1	yes	characteristic
1386	C₂	#23776978	1	1	yes	characteristic
1387	C₂	#23776991	1	1	yes	characteristic
1388	C₂	#23777002	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₇₉
commutator, socle, cosocle	C₂³×C₇₉	C₂⁵
Frattini	C₂³	C₂⁴×D₇₉
Fitting	C₇₉×#2396	C₂
prime radical	C₂²×C₂²⋊D₇₉	C₂³
hypercenter	#2396	D₇₉
hypocenter	C₇₉	#34893
LCS	G ▷ C₂³×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂²×C₄ ◁ #2396

Complements

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

N	H ≅ G/N	type
1. #23768854	C₂	semidirect
2. #23768846	C₂	semidirect
3. #23768824	C₂	semidirect
4. #23768816	C₂	semidirect
5. #23768784	C₂	semidirect
8. #23768414	C₂	semidirect
9. #23768113	C₂	semidirect
10. #23768111	C₂	semidirect
11. #23767942	C₂	semidirect
12. #23767922	C₂	semidirect
13. #23767424	C₂	semidirect
14. #23767422	C₂	semidirect
17. #23766676	C₂	semidirect
18. #23766676	C₂	semidirect
19. #23766674	C₂	semidirect
20. C₄×#14579159	C₂	semidirect
21. C₄×#14579151	C₂	semidirect
22. C₄×#14579151	C₂	semidirect
23. C₄×#14579138	C₂	semidirect
24. C₄×#14579137	C₂	semidirect
25. #23765882	C₂	semidirect
26. #23765880	C₂	semidirect
29. C₄×#14579126	C₂	semidirect
31. C₇₉×#2396	C₂	semidirect
204. C₄×C₂²⋊D₇₉	Q₈	semidirect
714. #2396	D₇₉	semidirect
726. C₇₉	#34893	semidirect

Maximal subgroups

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

subgroup	index
#23768854	2
#23768846	2
#23768824	2
#23768816	2
#23768784	2
#23768755	2
#23768595	2
#23768414	2
#23768113	2
#23768111	2
#23767942	2
#23767922	2
#23767424	2
#23767422	2
#23767265	2
#23767245	2
#23766676	2
#23766674	2
C₄×#14579159	2
C₄×#14579151	2
C₄×#14579138	2
C₄×#14579137	2
#23765882	2
#23765880	2
#23765863	2
#23765859	2
C₄×#14579126	2
C₄×(C₂²⋊D₇₉)⋊C₄	2
C₇₉×#2396	2
#34893	79