Subgroups — #35197399

Order 20224.

7370 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777288	C₂	1	8	yes	maximal, complemented
2	#23777268	C₂	1	8	yes	maximal, complemented
3	#23777247	C₂	1	4	yes	maximal, complemented
4	#23777243	C₂	1	4	yes	maximal, complemented
5	#23777126	C₂	1	8	yes	maximal, complemented
6	#23777122	C₂	1	8	yes	maximal, complemented
7	#23777090	C₂	1	1	yes	maximal, characteristic, complemented
8	#23777089	C₂	1	1	yes	maximal, characteristic, complemented
9	#23777088	C₂	1	1	yes	maximal, characteristic, complemented
10	#23777087	C₂	1	2	yes	maximal, complemented
11	#23777085	C₂	1	2	yes	maximal, complemented
12	#23776819	C₂	1	4	yes	maximal, complemented
13	#23776818	C₂	1	4	yes	maximal, complemented
14	#23776802	C₂	1	1	yes	maximal, characteristic, complemented
15	#23776726	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#19099128	C₂	1	2	yes	maximal, complemented
17	#23776598	C₂	1	2	yes	maximal, complemented
18	C₂×#19099036	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₉×#3490	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#11929623	C₂²	1	2	yes	—
21	C₂³×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
22	#19099297	C₂²	1	8	yes	complemented
23	#19099297	C₂²	1	8	yes	complemented
24	#19099296	C₂²	1	8	yes	complemented
25	#19099295	C₂²	1	8	yes	complemented
26	#19099284	C₂²	1	4	yes	complemented
27	#19099281	C₂²	1	4	yes	complemented
28	#19099280	C₂²	1	8	yes	complemented
29	#19099277	C₂²	1	4	yes	complemented
30	#19099276	C₂²	1	4	yes	complemented
31	#19099275	C₂²	1	8	yes	complemented
32	#19099264	C₂²	1	8	yes	complemented
33	#19099262	C₂²	1	8	yes	complemented
34	#19099258	C₂²	1	8	yes	complemented
35	#19099256	C₂²	1	8	yes	complemented
36	#19099244	C₂²	1	8	yes	complemented
37	#19099242	C₂²	1	8	yes	complemented
38	#19099240	C₂²	1	8	yes	complemented
39	#19099239	C₂²	1	8	yes	complemented
40	#19099239	C₂²	1	8	yes	complemented
41	#19099237	C₂²	1	8	yes	complemented
42	#19099236	C₂²	1	8	yes	complemented
43	#19099232	C₂²	1	4	yes	complemented
44	#19099231	C₂²	1	8	yes	complemented
45	#19099231	C₂²	1	4	yes	complemented
46	#19099215	C₂²	1	4	yes	complemented
47	#19099212	C₂²	1	4	yes	complemented
48	#19099211	C₂²	1	8	yes	complemented
49	#19099209	C₂²	1	8	yes	complemented
50	#19099207	C₂²	1	8	yes	complemented
51	#19099204	C₂²	1	8	yes	complemented
52	#19099203	C₂²	1	8	yes	complemented
53	#19099203	C₂²	1	8	yes	complemented
54	#19099200	C₂²	1	8	yes	complemented
55	#19099200	C₂²	1	8	yes	complemented
56	#19099192	C₂²	1	4	yes	complemented
57	#19099192	C₂²	1	8	yes	complemented
58	#19099189	C₂²	1	2	yes	—
59	#19099189	C₂²	1	1	yes	characteristic
60	#19099183	C₂²	1	8	yes	complemented
61	#19099181	C₂²	1	8	yes	complemented
62	#19099179	C₂²	1	8	yes	complemented
63	#19099177	C₂²	1	8	yes	complemented
64	#19099165	C₂²	1	8	yes	complemented
65	#19099165	C₂²	1	8	yes	complemented
66	#19099163	C₂²	1	8	yes	complemented
67	#19099163	C₂²	1	8	yes	complemented
68	#19099153	C₂²	1	4	yes	complemented
69	#19099151	C₂²	1	4	yes	complemented
70	#19099150	C₂²	1	4	yes	complemented
71	#19099148	C₂²	1	8	yes	complemented
72	#19099146	C₂²	1	8	yes	complemented
73	#19099140	C₂²	1	4	yes	complemented
74	#19099135	C₂²	1	4	yes	complemented
75	#19099128	C₂²	1	8	yes	—
76	#19099128	C₂²	1	8	yes	—
77	#19099128	C₂²	1	4	yes	complemented
78	#19099128	C₂²	1	4	yes	complemented
79	#19099128	C₂²	1	4	yes	complemented
80	#19099128	C₂²	1	4	yes	complemented
81	#19099128	C₂²	1	4	yes	complemented
82	#19099125	C₂²	1	1	yes	characteristic
83	#19099122	C₂²	1	2	yes	—
84	#19099115	C₂²	1	8	yes	complemented
85	#19099115	C₂²	1	4	yes	complemented
86	#19099112	C₂²	1	8	yes	complemented
87	#19099110	C₂²	1	8	yes	complemented
88	#19099109	C₂²	1	8	yes	complemented
89	#19099108	C₂²	1	4	yes	complemented
90	#19099108	C₂²	1	8	yes	complemented
91	C₂×#14579157	C₂²	1	4	yes	complemented
92	#19099096	C₂²	1	8	yes	complemented
93	#19099093	C₂²	1	8	yes	complemented
94	#19099091	C₂²	1	8	yes	complemented
95	#19099090	C₂²	1	8	yes	complemented
96	C₂×#14579147	C₂²	1	4	yes	complemented
97	#19099076	C₂²	1	4	yes	complemented
98	#19099074	C₂²	1	4	yes	complemented
99	#19099073	C₂²	1	4	yes	complemented
100	#19099072	C₂²	1	8	yes	complemented
101	#19099071	C₂²	1	4	yes	complemented
102	#19099069	C₂²	1	4	yes	complemented
103	#19099069	C₂²	1	8	yes	complemented
104	C₂×#14579134	C₂²	1	4	yes	complemented
105	C₂×#14579133	C₂²	1	4	yes	complemented
106	C₂×#14579131	C₂²	1	2	yes	—
107	C₂×#14579130	C₂²	1	2	yes	—
108	C₂×#14579129	C₂²	1	2	yes	—
109	#19099042	C₂²	1	8	yes	complemented
110	#19099042	C₂²	1	8	yes	complemented
111	#19099040	C₂²	1	4	yes	complemented
112	#19099038	C₂²	1	2	yes	—
113	#19099036	C₂²	1	2	yes	—
114	#19099036	C₂²	1	2	yes	—
115	#19099036	C₂²	1	8	yes	complemented
116	#19099036	C₂²	1	8	yes	complemented
117	#19099036	C₂²	1	4	yes	complemented
118	C₄×#11929623	C₂²	1	8	yes	complemented
119	C₄×#11929623	C₂²	1	8	yes	complemented
120	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
121	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
122	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
123	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
124	C₂×#14579117	C₂²	1	1	yes	characteristic
125	C₂×#14579117	C₂²	1	2	yes	—
126	C₂×#14579117	C₂²	1	1	yes	characteristic
127	C₂×#14579117	C₂²	1	4	yes	complemented
128	#117×D₇₉	C₂²	1	4	yes	complemented
129	C₂²×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic
130	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
131	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
132	#551×C₇₉	C₂²	1	8	yes	complemented
133	#546×C₇₉	C₂²	1	8	yes	complemented
134	#543×C₇₉	C₂²	1	1	yes	characteristic
135	#538×C₇₉	C₂²	1	4	yes	complemented
136	#534×C₇₉	C₂²	1	1	yes	characteristic
137	#525×C₇₉	C₂²	1	4	yes	complemented
138	C₂×#120×C₇₉	C₂²	1	2	yes	—
139	#518×C₇₉	C₂²	1	2	yes	—
140	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
141	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
142	C₂×#11929625	C₂³	1	4	yes	complemented
143	C₂×#11929624	C₂³	1	4	yes	complemented
144	C₂×#11929624	C₂³	1	8	yes	complemented
145	C₂×#11929623	—	2	16	no	—
146	C₂×#11929623	C₂³	1	4	yes	—
147	C₂×#11929623	C₂³	1	4	yes	—
148	C₂×#11929623	C₂³	1	4	yes	—
149	C₂×#11929623	C₂³	1	4	yes	—
150	C₂×#11929623	C₂³	1	4	yes	complemented
151	C₂×#11929623	C₂³	1	8	yes	complemented
152	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
153	C₂²×D₃₁₆	C₂³	1	4	yes	—
154	C₂²×C₂²⋊D₇₉	—	2	8	no	—
155	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
156	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
157	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
158	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
159	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
161	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
162	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
164	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
165	C₂³×Dic₇₉	C₂³	1	2	yes	—
166	C₂³×Dic₇₉	C₂³	1	2	yes	—
167	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
169	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
170	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
171	#14579160	C₂³	1	8	yes	complemented
172	#14579160	C₂³	1	4	yes	complemented
173	#14579160	C₂³	1	4	yes	complemented
174	#14579159	C₂³	1	8	yes	complemented
175	#14579159	C₂³	1	4	yes	complemented
176	#14579157	C₂³	1	8	yes	—
177	#14579157	C₂³	1	8	yes	—
178	#14579157	C₂³	1	8	yes	—
179	#14579157	C₂³	1	8	yes	—
180	#14579157	C₂³	1	4	yes	complemented
181	#14579156	C₂³	1	8	yes	complemented
182	#14579156	C₂³	1	8	yes	complemented
183	#14579156	C₂³	1	8	yes	complemented
184	#14579155	C₂³	1	8	yes	complemented
185	#14579154	C₂³	1	8	yes	complemented
186	#14579154	C₂³	1	8	yes	complemented
187	#14579154	C₂³	1	8	yes	complemented
188	#14579151	C₂³	1	8	yes	complemented
189	#14579151	C₂³	1	8	yes	complemented
190	#14579151	C₂³	1	8	yes	complemented
191	#14579150	C₂³	1	8	yes	complemented
192	#14579149	C₂³	1	8	yes	complemented
193	#14579148	C₂³	1	8	yes	complemented
194	#14579147	C₂³	1	8	yes	—
195	#14579147	C₂³	1	8	yes	—
196	#14579147	C₂³	1	8	yes	—
197	#14579147	C₂³	1	8	yes	—
198	#14579147	C₂³	1	8	yes	complemented
199	#14579147	C₂³	1	8	yes	complemented
200	#14579147	C₂³	1	8	yes	complemented
201	#14579147	C₂³	1	8	yes	complemented
202	#14579147	C₂³	1	8	yes	complemented
203	#14579146	C₂³	1	8	yes	complemented
204	#14579146	C₂³	1	8	yes	complemented
205	#14579146	C₂³	1	8	yes	complemented
206	#14579146	C₂³	1	8	yes	complemented
207	#14579145	C₂³	1	4	yes	—
208	#14579145	C₂³	1	8	yes	complemented
209	#14579145	C₂³	1	8	yes	complemented
210	#14579144	C₂³	1	4	yes	—
211	#14579144	C₂³	1	8	yes	complemented
212	#14579144	C₂³	1	8	yes	complemented
213	#14579143	C₂³	1	8	yes	complemented
214	#14579143	C₂³	1	8	yes	complemented
215	#14579143	C₂³	1	8	yes	complemented
216	#14579143	C₂³	1	8	yes	complemented
217	#14579142	C₂³	1	4	yes	—
218	#14579142	C₂³	1	8	yes	complemented
219	#14579142	C₂³	1	8	yes	complemented
220	#14579141	C₂³	1	4	yes	complemented
221	#14579140	C₂³	1	4	yes	—
222	#14579140	C₂³	1	8	yes	—
223	#14579140	C₂³	1	4	yes	complemented
224	#14579139	C₂³	1	8	yes	complemented
225	#14579139	C₂³	1	8	yes	complemented
226	#14579138	C₂³	1	8	yes	—
227	#14579138	C₂³	1	8	yes	—
228	#14579138	C₂³	1	8	yes	—
229	#14579138	C₂³	1	8	yes	complemented
230	#14579138	C₂³	1	8	yes	complemented
231	#14579137	C₂³	1	4	yes	complemented
232	#14579136	C₂³	1	8	yes	complemented
233	#14579136	C₂³	1	4	yes	complemented
234	#14579135	C₂³	1	4	yes	—
235	#14579135	C₂³	1	8	yes	complemented
236	#14579135	C₂³	1	4	yes	complemented
237	#14579134	C₂³	1	8	yes	—
238	#14579134	C₂³	1	8	yes	—
239	#14579134	C₂³	1	8	yes	—
240	#14579134	C₂³	1	8	yes	—
241	#14579134	C₂³	1	8	yes	complemented
242	#14579134	C₂³	1	8	yes	complemented
243	#14579134	C₂³	1	8	yes	complemented
244	#14579134	C₂³	1	8	yes	complemented
245	#14579133	C₂³	1	8	yes	—
246	#14579133	C₂³	1	8	yes	—
247	#14579133	C₂³	1	8	yes	—
248	#14579133	C₂³	1	8	yes	—
249	#14579133	C₂³	1	8	yes	—
250	#14579133	C₂³	1	8	yes	complemented
251	#14579133	C₂³	1	8	yes	complemented
252	#14579133	C₂³	1	8	yes	complemented
253	#14579133	C₂³	1	8	yes	complemented
254	#14579132	C₂³	1	8	yes	complemented
255	#14579132	C₂³	1	4	yes	complemented
256	#14579131	C₂³	1	4	yes	—
257	#14579131	C₂³	1	4	yes	—
258	#14579131	C₂³	1	4	yes	—
259	#14579131	C₂³	1	8	yes	—
260	#14579130	C₂³	1	4	yes	—
261	#14579130	C₂³	1	4	yes	—
262	#14579130	C₂³	1	4	yes	—
263	#14579130	C₂³	1	8	yes	—
264	#14579129	C₂³	1	4	yes	—
265	#14579129	C₂³	1	4	yes	—
266	#14579129	C₂³	1	4	yes	—
267	#14579129	C₂³	1	8	yes	—
268	Q₈×Dic₇₉	C₂³	1	4	yes	complemented
269	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
270	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
271	#14579126	C₂³	1	8	yes	complemented
272	#14579126	C₂³	1	8	yes	complemented
273	#14579126	C₂³	1	4	yes	complemented
274	#14579126	C₂³	1	8	yes	complemented
275	C₄×D₃₁₆	C₂³	1	8	yes	complemented
276	D₄×Dic₇₉	C₂³	1	8	yes	—
277	D₄×Dic₇₉	C₂³	1	8	yes	—
278	D₄×Dic₇₉	C₂³	1	8	yes	complemented
279	D₄×Dic₇₉	C₂³	1	4	yes	complemented
280	#14579123	C₂³	1	8	yes	complemented
281	#14579123	C₂³	1	4	yes	complemented
282	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
283	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
284	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
285	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
286	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
287	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
288	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
289	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
290	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
291	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
292	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
293	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
294	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
295	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
296	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
297	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
298	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
299	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
300	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
301	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
302	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
303	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
304	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
305	#14579120	C₂³	1	4	yes	—
306	#14579120	C₂³	1	4	yes	complemented
307	#14579119	C₂³	1	8	yes	complemented
308	#14579119	C₂³	1	4	yes	complemented
309	#14579119	C₂³	1	4	yes	complemented
310	#14579118	C₂³	1	8	yes	complemented
311	#14579118	C₂³	1	8	yes	complemented
312	#14579117	C₂³	1	4	yes	—
313	#14579117	C₂³	1	4	yes	—
314	#14579117	C₂³	1	4	yes	—
315	#14579117	C₂³	1	4	yes	—
316	#14579117	C₂³	1	4	yes	—
317	#14579117	C₂³	1	4	yes	—
318	#14579117	C₂³	1	4	yes	—
319	#14579117	C₂³	1	4	yes	—
320	#14579117	C₂³	1	4	yes	—
321	#14579117	C₂³	1	4	yes	—
322	#14579117	C₂³	1	8	yes	complemented
323	#14579117	C₂³	1	8	yes	complemented
324	#14579117	C₂³	1	8	yes	complemented
325	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
326	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	—
327	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
328	C₂×Dic₇₉⋊C₄	C₂³	1	8	yes	complemented
329	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
330	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
331	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
333	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
334	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	—
335	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
336	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
337	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
338	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
339	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
340	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
341	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
342	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
343	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
344	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
345	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
346	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
347	C₂×C₄×Dic₇₉	C₂³	1	4	yes	—
348	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
349	C₄²×D₇₉	C₂³	1	8	yes	complemented
350	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
351	C₂×#41×C₇₉	C₂³	1	4	yes	complemented
352	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
353	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
354	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
355	#126×C₇₉	C₂³	1	8	yes	complemented
356	#124×C₇₉	C₂³	1	8	yes	complemented
357	#123×C₇₉	C₂³	1	4	yes	—
358	#123×C₇₉	C₂³	1	8	yes	complemented
359	#123×C₇₉	C₂³	1	8	yes	complemented
360	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	—
361	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	—
362	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
363	#121×C₇₉	C₂³	1	4	yes	—
364	#121×C₇₉	C₂³	1	4	yes	complemented
365	#121×C₇₉	C₂³	1	8	yes	complemented
366	#120×C₇₉	C₂³	1	4	yes	—
367	#120×C₇₉	C₂³	1	4	yes	—
368	#120×C₇₉	C₂³	1	8	yes	—
369	#120×C₇₉	C₂³	1	4	yes	—
370	C₄×D₄×C₇₉	C₂³	1	8	yes	—
371	C₄×D₄×C₇₉	C₂³	1	8	yes	—
372	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
373	#117×C₇₉	C₂³	1	4	yes	—
374	#117×C₇₉	C₂³	1	4	yes	complemented
375	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
376	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
377	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
378	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
379	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	—
380	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
381	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
382	C₂³×D₇₉	—	2	4	no	—
383	C₂³×D₇₉	—	8	2	no	—
384	C₂³×D₇₉	C₂⁴	1	4	yes	—
385	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
386	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
387	C₂³×D₇₉	C₂⁴	1	2	yes	—
388	#11929625	—	8	4	no	—
389	#11929624	—	8	4	no	—
390	#11929624	—	8	8	no	—
391	#11929623	—	2	16	no	—
392	#11929623	—	2	16	no	—
393	#11929623	—	2	16	no	—
394	#11929623	—	2	16	no	—
395	#11929623	—	8	4	no	—
396	#11929623	—	8	8	no	—
397	C₂×Dic₁₅₈	—	2	8	no	—
398	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
399	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
400	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
401	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
402	C₂×D₃₁₆	—	8	4	no	—
403	C₂×D₃₁₆	C₂⁴	1	4	yes	—
404	C₂×D₃₁₆	C₂⁴	1	8	yes	—
405	C₂×D₃₁₆	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₇₉	—	2	8	no	—
407	C₂×C₂²⋊D₇₉	—	2	4	no	—
408	C₂×C₂²⋊D₇₉	—	2	4	no	—
409	C₂×C₂²⋊D₇₉	—	2	4	no	—
410	C₂×C₂²⋊D₇₉	—	2	4	no	—
411	C₂×C₂²⋊D₇₉	—	2	16	no	—
412	C₂×C₂²⋊D₇₉	—	2	16	no	—
413	C₂×C₂²⋊D₇₉	—	2	8	no	—
414	C₂×C₂²⋊D₇₉	—	8	4	no	—
415	C₂×C₂²⋊D₇₉	—	8	4	no	—
416	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
417	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
418	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
419	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
420	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
421	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
422	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
423	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
424	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
425	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
426	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
427	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
428	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
429	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
430	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
431	C₂²×Dic₇₉	—	2	8	no	—
432	C₂²×Dic₇₉	—	8	2	no	—
433	C₂²×Dic₇₉	#41	1	8	yes	complemented
434	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
435	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
436	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
437	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
438	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
439	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
440	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
441	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
442	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
443	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
446	C₂×C₄×D₇₉	—	2	8	no	—
447	C₂×C₄×D₇₉	—	8	2	no	—
448	C₂×C₄×D₇₉	—	8	2	no	—
449	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
450	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
451	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
452	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
453	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
454	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
455	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
456	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
457	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
458	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
459	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
460	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
461	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
462	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
463	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
464	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
465	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
466	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
467	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
468	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
469	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
470	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
471	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
472	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
473	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
474	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
475	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
476	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
477	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
478	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
479	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
480	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
481	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
483	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
484	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
485	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
486	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
487	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
488	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
489	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
490	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
491	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
492	C₄×Dic₇₉	C₂⁴	1	8	yes	—
493	C₄×Dic₇₉	C₂⁴	1	8	yes	—
494	C₄×Dic₇₉	C₂⁴	1	8	yes	—
495	C₄×Dic₇₉	C₂⁴	1	4	yes	—
496	C₄×Dic₇₉	C₂⁴	1	4	yes	—
497	C₄×Dic₇₉	C₂⁴	1	8	yes	—
498	C₄×Dic₇₉	C₂⁴	1	8	yes	—
499	C₄×Dic₇₉	C₂⁴	1	8	yes	—
500	C₂⁴×C₇₉	—	2	4	no	—
501	C₂⁴×C₇₉	—	8	2	no	—
502	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
503	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
504	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
505	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
506	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
507	#41×C₇₉	—	8	4	no	—
508	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
509	C₂×D₄×C₇₉	—	2	8	no	—
510	C₂×D₄×C₇₉	—	8	4	no	—
511	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
512	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
513	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
514	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
515	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
516	C₂²×C₄×C₇₉	—	8	2	no	—
517	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
518	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
519	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
520	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
521	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
522	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
523	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
524	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
525	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
526	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
527	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
528	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
529	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
530	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
531	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
532	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
533	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
534	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
535	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
536	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
537	C₄²×C₇₉	C₂⁴	1	8	yes	—
538	C₂³×C₇₉	—	2	2	no	—
539	C₂³×C₇₉	—	2	2	no	—
540	C₂³×C₇₉	—	2	4	no	—
541	C₂³×C₇₉	—	2	8	no	—
542	C₂³×C₇₉	—	4	2	no	—
543	C₂³×C₇₉	—	4	2	no	—
544	C₂³×C₇₉	—	4	2	no	—
545	C₂³×C₇₉	—	4	4	no	—
546	C₂³×C₇₉	—	4	4	no	—
547	C₂³×C₇₉	—	4	4	no	—
548	C₂³×C₇₉	—	8	8	no	—
549	C₂³×C₇₉	C₂×#41	1	4	yes	—
550	C₂³×C₇₉	C₂⁵	1	2	yes	—
551	C₂³×C₇₉	C₂⁵	1	2	yes	—
552	C₂³×C₇₉	C₂⁵	1	4	yes	—
553	C₂³×C₇₉	C₂⁵	1	2	yes	—
554	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
555	C₂²×D₇₉	—	2	2	no	—
556	C₂²×D₇₉	—	2	2	no	—
557	C₂²×D₇₉	—	2	4	no	—
558	C₂²×D₇₉	—	2	8	no	—
559	C₂²×D₇₉	—	4	2	no	—
560	C₂²×D₇₉	—	4	2	no	—
561	C₂²×D₇₉	—	4	4	no	—
562	C₂²×D₇₉	—	4	4	no	—
563	C₂²×D₇₉	—	4	4	no	—
564	C₂²×D₇₉	—	8	8	no	—
565	C₂²×D₇₉	C₂⁵	1	2	yes	—
566	C₂²×D₇₉	C₂⁵	1	2	yes	—
567	C₂²×D₇₉	C₂⁵	1	4	yes	—
568	Q₈×C₇₉	—	4	4	no	—
569	D₄×C₇₉	—	2	8	no	—
570	D₄×C₇₉	—	2	8	no	—
571	D₄×C₇₉	—	4	8	no	—
572	D₄×C₇₉	—	4	4	no	—
573	D₄×C₇₉	—	4	8	no	—
574	C₂×C₄×C₇₉	—	2	4	no	—
575	C₂×C₄×C₇₉	—	4	2	no	—
576	C₂×C₄×C₇₉	—	4	2	no	—
577	C₂×C₄×C₇₉	—	4	4	no	—
578	C₂×C₄×C₇₉	—	4	4	no	—
579	C₂×C₄×C₇₉	—	4	8	no	—
580	C₂×C₄×C₇₉	—	4	4	no	—
581	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
582	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
583	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
584	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
585	C₂²⋊D₇₉	—	2	8	no	—
586	C₂²⋊D₇₉	—	2	8	no	—
587	C₂²⋊D₇₉	—	2	4	no	—
588	C₂²⋊D₇₉	—	2	4	no	—
589	C₂²⋊D₇₉	—	2	8	no	—
590	C₂²⋊D₇₉	—	2	8	no	—
591	C₂²⋊D₇₉	—	2	4	no	—
592	C₂²⋊D₇₉	—	2	4	no	—
593	C₂²⋊D₇₉	—	2	8	no	—
594	C₂²⋊D₇₉	—	2	8	no	—
595	C₂²⋊D₇₉	—	4	8	no	—
596	C₂²⋊D₇₉	—	4	8	no	—
597	C₂²⋊D₇₉	—	4	8	no	—
598	C₂²⋊D₇₉	—	4	8	no	—
599	C₂²⋊D₇₉	—	4	8	no	—
600	C₂×Dic₇₉	—	2	4	no	—
601	C₂×Dic₇₉	—	2	8	no	—
602	C₂×Dic₇₉	—	2	8	no	—
603	C₂×Dic₇₉	—	4	2	no	—
604	C₂×Dic₇₉	—	4	2	no	—
605	C₂×Dic₇₉	—	4	8	no	—
606	C₂×Dic₇₉	—	4	4	no	—
607	C₂×Dic₇₉	—	4	8	no	—
608	C₂×Dic₇₉	C₂×#41	1	8	yes	—
609	C₂×Dic₇₉	C₂×#41	1	8	yes	—
610	C₂×Dic₇₉	C₂×#41	1	4	yes	—
611	C₂×Dic₇₉	C₂×#41	1	4	yes	—
612	C₂×Dic₇₉	C₂⁵	1	4	yes	—
613	C₂×Dic₇₉	C₂⁵	1	4	yes	—
614	C₂×Dic₇₉	C₂⁵	1	8	yes	—
615	C₂×Dic₇₉	C₂⁵	1	4	yes	—
616	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
617	C₂×Dic₇₉	C₂⁵	1	2	yes	—
618	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
619	D₃₁₆	—	4	8	no	—
620	D₃₁₆	—	4	8	no	—
621	D₃₁₆	—	4	4	no	—
622	C₄×D₇₉	—	2	8	no	—
623	C₄×D₇₉	—	2	8	no	—
624	C₄×D₇₉	—	4	4	no	—
625	C₄×D₇₉	—	4	8	no	—
626	C₄×D₇₉	—	4	4	no	—
627	C₄×D₇₉	—	4	8	no	—
628	C₄×D₇₉	—	4	8	no	—
629	Dic₁₅₈	—	2	8	no	—
630	Dic₁₅₈	—	2	8	no	—
631	Dic₁₅₈	—	4	4	no	—
632	Dic₁₅₈	—	4	8	no	—
633	C₂²×C₇₉	—	2	2	no	—
634	C₂²×C₇₉	—	2	4	no	—
635	C₂²×C₇₉	—	2	2	no	—
636	C₂²×C₇₉	—	2	2	no	—
637	C₂²×C₇₉	—	2	4	no	—
638	C₂²×C₇₉	—	2	2	no	—
639	C₂²×C₇₉	—	2	8	no	—
640	C₂²×C₇₉	—	2	4	no	—
641	C₂²×C₇₉	—	2	2	no	—
642	C₂²×C₇₉	—	4	4	no	—
643	C₂²×C₇₉	—	4	4	no	—
644	C₂²×C₇₉	—	4	4	no	—
645	C₂²×C₇₉	—	8	4	no	—
646	C₂²×C₇₉	—	8	8	no	—
647	C₂²×C₇₉	C₂²×#41	1	2	yes	—
648	C₂²×C₇₉	C₂²×#41	1	4	yes	—
649	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
650	C₂×D₇₉	—	2	2	no	—
651	C₂×D₇₉	—	2	2	no	—
652	C₂×D₇₉	—	2	4	no	—
653	C₂×D₇₉	—	2	2	no	—
654	C₂×D₇₉	—	2	8	no	—
655	C₂×D₇₉	—	2	4	no	—
656	C₂×D₇₉	—	2	2	no	—
657	C₂×D₇₉	—	4	4	no	—
658	C₂×D₇₉	—	4	4	no	—
659	C₂×D₇₉	—	8	4	no	—
660	C₂×D₇₉	—	8	8	no	—
661	C₄×C₇₉	—	2	4	no	—
662	C₄×C₇₉	—	2	4	no	—
663	C₄×C₇₉	—	2	4	no	—
664	C₄×C₇₉	—	2	8	no	—
665	Dic₇₉	—	2	4	no	—
666	Dic₇₉	—	2	8	no	—
667	Dic₇₉	—	2	4	no	—
668	Dic₇₉	—	2	4	no	—
669	Dic₇₉	C₂²×#41	1	2	yes	—
670	Dic₇₉	C₂²×#41	1	4	yes	—
671	Dic₇₉	C₂²×#41	1	2	yes	—
672	#62855	—	79	1	no	maximal, Sylow
673	C₂×C₇₉	—	2	2	no	—
674	C₂×C₇₉	—	2	4	no	—
675	C₂×C₇₉	—	4	2	no	—
676	C₂×C₇₉	—	4	2	no	—
677	C₂×C₇₉	—	4	4	no	—
678	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
679	C₂×C₇₉	H(7,𝔽₂)	1	2	yes	—
680	D₇₉	—	4	2	no	—
681	D₇₉	—	4	2	no	—
682	D₇₉	—	4	4	no	—
683	#3510	—	79	8	no	—
684	#3508	—	79	8	no	—
685	#3506	—	79	4	no	—
686	#3506	—	79	4	no	—
687	#3494	—	79	8	no	—
688	#3494	—	79	8	no	—
689	#3490	—	79	1	no	—
690	#3490	—	79	1	no	—
691	#3490	—	79	2	no	—
692	#3490	—	79	2	no	—
693	#3490	—	79	1	no	—
694	#3490	D₇₉	1	1	yes	characteristic, complemented
695	#3460	—	79	4	no	—
696	#3460	—	79	4	no	—
697	#3458	—	79	1	no	—
698	#3449	—	79	1	no	—
699	C₂×#535	—	79	2	no	—
700	#3428	—	79	2	no	—
701	C₂×#518	—	79	1	no	—
702	C₇₉	#62855	1	1	yes	characteristic, complemented, Sylow
703	C₂²×#41	—	79	2	no	—
704	C₂³×D₄	—	79	1	no	—
705	#559	—	79	8	no	—
706	#559	—	79	8	no	—
707	#559	—	79	8	no	—
708	#559	—	79	8	no	—
709	#556	—	79	8	no	—
710	#556	—	79	4	no	—
711	#556	—	79	4	no	—
712	#555	—	79	8	no	—
713	#555	—	79	4	no	—
714	#555	—	79	4	no	—
715	#553	—	79	8	no	—
716	#553	—	79	8	no	—
717	#553	—	79	8	no	—
718	#553	—	79	8	no	—
719	#551	—	79	8	no	—
720	#551	—	79	8	no	—
721	#551	—	79	8	no	—
722	#551	—	79	8	no	—
723	#551	—	79	8	no	—
724	#551	—	79	8	no	—
725	#551	—	79	8	no	—
726	#551	C₂×D₇₉	1	8	yes	complemented
727	#550	—	79	4	no	—
728	#550	—	79	4	no	—
729	#550	—	79	8	no	—
730	#547	—	79	4	no	—
731	#547	—	79	8	no	—
732	#547	—	79	4	no	—
733	#546	—	79	8	no	—
734	#546	—	79	8	no	—
735	#546	—	79	8	no	—
736	#546	—	79	8	no	—
737	#546	—	79	8	no	—
738	#546	—	79	8	no	—
739	#546	—	79	8	no	—
740	#546	C₂×D₇₉	1	8	yes	complemented
741	#544	—	79	4	no	—
742	#544	—	79	8	no	—
743	#543	—	79	2	no	—
744	#543	—	79	1	no	—
745	#543	C₂×D₇₉	1	1	yes	characteristic
746	#542	—	79	8	no	—
747	#542	—	79	8	no	—
748	#542	—	79	8	no	—
749	#542	—	79	8	no	—
750	#540	—	79	8	no	—
751	#540	—	79	8	no	—
752	#540	—	79	8	no	—
753	#540	—	79	8	no	—
754	#538	—	79	4	no	—
755	#538	—	79	4	no	—
756	#538	—	79	8	no	—
757	#538	—	79	8	no	—
758	#538	—	79	4	no	—
759	#538	C₂×D₇₉	1	4	yes	complemented
760	#537	—	79	4	no	—
761	#536	—	79	4	no	—
762	#535	—	79	4	no	—
763	#535	—	79	4	no	—
764	#535	—	79	8	no	—
765	#535	—	79	4	no	—
766	#535	—	79	4	no	—
767	#535	—	79	8	no	—
768	#535	—	79	4	no	—
769	#534	—	79	2	no	—
770	#534	—	79	1	no	—
771	#534	C₂×D₇₉	1	1	yes	characteristic
772	#533	—	79	4	no	—
773	#533	—	79	8	no	—
774	#532	—	79	8	no	—
775	#532	—	79	8	no	—
776	#532	—	79	4	no	—
777	#532	—	79	8	no	—
778	#532	—	79	8	no	—
779	C₂×#127	—	79	4	no	—
780	#529	—	79	8	no	—
781	#529	—	79	8	no	—
782	#529	—	79	8	no	—
783	#529	—	79	8	no	—
784	C₂×#124	—	79	4	no	—
785	#525	—	79	4	no	—
786	#525	—	79	4	no	—
787	#525	—	79	4	no	—
788	#525	—	79	4	no	—
789	#525	—	79	4	no	—
790	#525	—	79	8	no	—
791	#525	—	79	8	no	—
792	#525	C₂×D₇₉	1	4	yes	complemented
793	C₂×#121	—	79	4	no	—
794	C₂×#121	—	79	4	no	—
795	C₂×#120	—	79	2	no	—
796	C₂×#120	—	79	2	no	—
797	C₂×#120	—	79	2	no	—
798	C₂×#120	C₂×D₇₉	1	2	yes	—
799	#520	—	79	8	no	—
800	#520	—	79	8	no	—
801	#519	—	79	4	no	—
802	#518	—	79	2	no	—
803	#518	—	79	8	no	—
804	#518	—	79	8	no	—
805	#518	—	79	2	no	—
806	#518	—	79	2	no	—
807	#518	—	79	4	no	—
808	#518	C₂×D₇₉	1	2	yes	—
809	C₄×#41	—	79	8	no	—
810	C₄×#41	—	79	8	no	—
811	C₂×C₄×D₄	—	79	2	no	—
812	C₂×C₄×D₄	—	79	2	no	—
813	C₂×C₄×D₄	—	79	2	no	—
814	C₂×C₄×D₄	—	79	2	no	—
815	C₂×#117	—	79	4	no	—
816	C₂×#117	—	79	1	no	—
817	C₂×#117	—	79	1	no	—
818	C₂×#117	—	79	2	no	—
819	C₂×#117	—	79	4	no	—
820	C₂²×C₂²⋊C₄	—	79	1	no	—
821	C₂²×C₂²⋊C₄	—	79	1	no	—
822	C₂²×C₂²⋊C₄	—	79	1	no	—
823	C₂²×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic
824	C₂⁵	—	79	1	no	—
825	C₂⁵	C₂²×D₇₉	1	1	yes	characteristic
826	C₂×#41	—	79	4	no	—
827	C₂×#41	—	79	4	no	—
828	C₂×#41	—	79	8	no	—
829	C₂×#41	—	79	4	no	—
830	C₂×#41	—	79	4	no	—
831	C₂×#41	—	79	4	no	—
832	C₂×#41	—	79	4	no	—
833	C₂×#41	—	79	4	no	—
834	C₂×#41	—	79	8	no	—
835	C₂×#41	—	158	16	no	—
836	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
837	C₂²×Q₈	—	79	2	no	—
838	C₂²×D₄	—	79	4	no	—
839	C₂²×D₄	—	79	4	no	—
840	C₂²×D₄	—	79	1	no	—
841	C₂²×D₄	—	79	1	no	—
842	C₂²×D₄	—	79	1	no	—
843	C₂²×D₄	—	79	1	no	—
844	C₂²×D₄	—	79	2	no	—
845	C₂²×D₄	—	79	4	no	—
846	C₂²×D₄	—	79	4	no	—
847	C₂²×D₄	—	79	2	no	—
848	C₂²×D₄	—	79	4	no	—
849	C₂²×D₄	—	158	8	no	—
850	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
851	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
852	C₂³×C₄	—	79	1	no	—
853	C₂³×C₄	—	79	2	no	—
854	C₂³×C₄	—	79	2	no	—
855	C₂³×C₄	—	79	2	no	—
856	C₂³×C₄	—	79	2	no	—
857	C₂³×C₄	—	79	2	no	—
858	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
859	C₄⋊Q₈	—	79	8	no	—
860	C₄⋊Q₈	—	79	4	no	—
861	C₄⋊Q₈	—	79	8	no	—
862	C₄⋊Q₈	—	79	4	no	—
863	C₄⋊Q₈	—	79	4	no	—
864	#127	—	79	8	no	—
865	#127	—	79	8	no	—
866	#127	—	79	8	no	—
867	#127	—	79	8	no	—
868	#127	—	79	4	no	—
869	#126	—	79	8	no	—
870	#126	—	79	8	no	—
871	#126	—	79	8	no	—
872	#126	—	79	8	no	—
873	#126	—	79	8	no	—
874	#126	—	79	8	no	—
875	#126	—	79	8	no	—
876	#126	C₂²×D₇₉	1	8	yes	complemented
877	#125	—	79	8	no	—
878	#125	—	79	8	no	—
879	#125	—	79	8	no	—
880	#124	—	79	8	no	—
881	#124	—	79	8	no	—
882	#124	—	79	8	no	—
883	#124	—	79	8	no	—
884	#124	—	79	8	no	—
885	#124	—	79	8	no	—
886	#124	—	79	8	no	—
887	#124	—	79	8	no	—
888	#124	—	79	8	no	—
889	#124	—	79	8	no	—
890	#124	—	79	8	no	—
891	#124	—	79	8	no	—
892	#124	C₂²×D₇₉	1	8	yes	complemented
893	#123	—	79	4	no	—
894	#123	—	79	8	no	—
895	#123	—	79	8	no	—
896	#123	—	79	4	no	—
897	#123	—	79	8	no	—
898	#123	—	79	8	no	—
899	#123	—	79	8	no	—
900	#123	—	79	8	no	—
901	#123	—	79	8	no	—
902	#123	—	79	8	no	—
903	#123	—	79	4	no	—
904	#123	—	79	8	no	—
905	#123	—	79	8	no	—
906	#123	—	79	8	no	—
907	#123	—	79	8	no	—
908	#123	—	79	8	no	—
909	#123	—	79	8	no	—
910	#123	C₂²×D₇₉	1	4	yes	—
911	#123	C₂²×D₇₉	1	8	yes	complemented
912	#123	C₂²×D₇₉	1	8	yes	complemented
913	C₂²⋊Q₈	—	79	4	no	—
914	C₂²⋊Q₈	—	79	4	no	—
915	C₂²⋊Q₈	—	79	4	no	—
916	C₂²⋊Q₈	—	79	8	no	—
917	C₂²⋊Q₈	—	79	8	no	—
918	C₂²⋊Q₈	—	79	8	no	—
919	C₂²⋊Q₈	—	79	4	no	—
920	C₂²⋊Q₈	—	79	8	no	—
921	C₂²⋊Q₈	—	79	8	no	—
922	C₂²⋊Q₈	—	79	8	no	—
923	C₂²⋊Q₈	—	79	8	no	—
924	C₂²⋊Q₈	—	79	8	no	—
925	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	—
926	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	—
927	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
928	#121	—	79	8	no	—
929	#121	—	79	8	no	—
930	#121	—	79	8	no	—
931	#121	—	79	8	no	—
932	#121	—	79	8	no	—
933	#121	—	79	8	no	—
934	#121	—	79	4	no	—
935	#121	—	79	8	no	—
936	#121	—	79	8	no	—
937	#121	—	79	8	no	—
938	#121	—	79	8	no	—
939	#121	—	79	4	no	—
940	#121	—	79	4	no	—
941	#121	—	79	8	no	—
942	#121	—	79	4	no	—
943	#121	—	79	8	no	—
944	#121	—	79	8	no	—
945	#121	—	79	8	no	—
946	#121	—	79	8	no	—
947	#121	—	79	8	no	—
948	#121	—	79	8	no	—
949	#121	—	79	8	no	—
950	#121	—	79	8	no	—
951	#121	—	79	8	no	—
952	#121	C₂²×D₇₉	1	4	yes	—
953	#121	C₂²×D₇₉	1	4	yes	complemented
954	#121	C₂²×D₇₉	1	8	yes	complemented
955	#120	—	79	4	no	—
956	#120	—	79	4	no	—
957	#120	—	79	8	no	—
958	#120	—	79	4	no	—
959	#120	—	79	4	no	—
960	#120	—	79	4	no	—
961	#120	—	79	8	no	—
962	#120	—	79	4	no	—
963	#120	—	79	4	no	—
964	#120	—	79	4	no	—
965	#120	—	79	8	no	—
966	#120	—	79	4	no	—
967	#120	C₂²×D₇₉	1	4	yes	—
968	#120	C₂²×D₇₉	1	4	yes	—
969	#120	C₂²×D₇₉	1	8	yes	—
970	#120	C₂²×D₇₉	1	4	yes	—
971	C₄×Q₈	—	79	4	no	—
972	C₄×Q₈	—	79	8	no	—
973	C₄×Q₈	—	79	8	no	—
974	C₄×Q₈	—	79	8	no	—
975	C₄×Q₈	—	79	4	no	—
976	C₄×Q₈	—	79	8	no	—
977	C₄×Q₈	—	79	8	no	—
978	C₄×D₄	—	79	8	no	—
979	C₄×D₄	—	79	8	no	—
980	C₄×D₄	—	79	4	no	—
981	C₄×D₄	—	79	8	no	—
982	C₄×D₄	—	79	8	no	—
983	C₄×D₄	—	79	8	no	—
984	C₄×D₄	—	79	4	no	—
985	C₄×D₄	—	79	4	no	—
986	C₄×D₄	—	79	4	no	—
987	C₄×D₄	—	79	4	no	—
988	C₄×D₄	—	79	8	no	—
989	C₄×D₄	—	79	8	no	—
990	C₄×D₄	—	79	8	no	—
991	C₄×D₄	—	79	8	no	—
992	C₄×D₄	—	79	8	no	—
993	C₄×D₄	—	79	8	no	—
994	C₄×D₄	—	79	4	no	—
995	C₄×D₄	—	79	8	no	—
996	C₄×D₄	—	79	8	no	—
997	C₄×D₄	—	79	8	no	—
998	C₄×D₄	—	79	8	no	—
999	C₄×D₄	—	79	8	no	—
1000	C₄×D₄	—	79	8	no	—
1001	C₄×D₄	—	79	8	no	—
1002	C₄×D₄	—	79	8	no	—
1003	C₄×D₄	—	79	8	no	—
1004	C₄×D₄	—	79	8	no	—
1005	C₄×D₄	—	79	8	no	—
1006	C₄×D₄	—	79	8	no	—
1007	C₄×D₄	—	79	8	no	—
1008	C₄×D₄	C₂²×D₇₉	1	8	yes	—
1009	C₄×D₄	C₂²×D₇₉	1	8	yes	—
1010	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1011	#117	—	79	4	no	—
1012	#117	—	79	4	no	—
1013	#117	—	79	8	no	—
1014	#117	—	79	4	no	—
1015	#117	—	79	4	no	—
1016	#117	—	79	4	no	—
1017	#117	—	79	4	no	—
1018	#117	—	79	4	no	—
1019	#117	—	79	4	no	—
1020	#117	—	79	8	no	—
1021	#117	—	79	4	no	—
1022	#117	—	79	4	no	—
1023	#117	—	79	4	no	—
1024	#117	—	79	4	no	—
1025	#117	—	79	4	no	—
1026	#117	—	79	4	no	—
1027	#117	—	79	8	no	—
1028	#117	—	79	8	no	—
1029	#117	—	79	8	no	—
1030	#117	—	79	8	no	—
1031	#117	C₂²×D₇₉	1	4	yes	—
1032	#117	C₂²×D₇₉	1	4	yes	complemented
1033	C₂×C₄⋊C₄	—	79	2	no	—
1034	C₂×C₄⋊C₄	—	79	2	no	—
1035	C₂×C₄⋊C₄	—	79	4	no	—
1036	C₂×C₄⋊C₄	—	79	8	no	—
1037	C₂×C₄⋊C₄	—	79	8	no	—
1038	C₂×C₂²⋊C₄	—	79	1	no	—
1039	C₂×C₂²⋊C₄	—	79	1	no	—
1040	C₂×C₂²⋊C₄	—	79	2	no	—
1041	C₂×C₂²⋊C₄	—	79	8	no	—
1042	C₂×C₂²⋊C₄	—	79	2	no	—
1043	C₂×C₂²⋊C₄	—	79	4	no	—
1044	C₂×C₂²⋊C₄	—	79	4	no	—
1045	C₂×C₂²⋊C₄	—	79	2	no	—
1046	C₂×C₂²⋊C₄	—	79	2	no	—
1047	C₂×C₂²⋊C₄	—	79	4	no	—
1048	C₂×C₂²⋊C₄	—	79	4	no	—
1049	C₂×C₂²⋊C₄	—	79	8	no	—
1050	C₂×C₂²⋊C₄	—	79	8	no	—
1051	C₂×C₂²⋊C₄	—	79	4	no	—
1052	C₂×C₂²⋊C₄	—	79	4	no	—
1053	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1056	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	—
1057	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1058	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
1059	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
1060	C₂×C₄²	—	79	2	no	—
1061	C₂×C₄²	—	79	2	no	—
1062	C₂×C₄²	—	79	4	no	—
1063	C₂×C₄²	—	79	8	no	—
1064	C₂×C₄²	—	79	8	no	—
1065	C₂⁴	—	2	4	no	—
1066	C₂⁴	—	8	2	no	—
1067	C₂⁴	—	79	4	no	—
1068	C₂⁴	—	79	2	no	—
1069	C₂⁴	—	79	1	no	—
1070	C₂⁴	—	79	1	no	—
1071	C₂⁴	—	632	2	no	—
1072	C₂⁴	—	158	4	no	—
1073	C₂⁴	C₂³×D₇₉	1	4	yes	—
1074	C₂⁴	C₂³×D₇₉	1	2	yes	—
1075	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1076	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1077	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1078	#41	—	8	4	no	—
1079	#41	—	632	4	no	—
1080	#41	—	632	8	no	—
1081	#41	—	632	4	no	—
1082	#41	—	632	8	no	—
1083	#41	—	632	4	no	—
1084	#41	—	158	16	no	—
1085	#41	—	158	16	no	—
1086	#41	—	158	16	no	—
1087	#41	—	158	16	no	—
1088	C₂×Q₈	—	79	4	no	—
1089	C₂×Q₈	—	79	8	no	—
1090	C₂×Q₈	—	79	4	no	—
1091	C₂×Q₈	—	79	4	no	—
1092	C₂×Q₈	—	158	8	no	—
1093	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1094	C₂×D₄	—	2	8	no	—
1095	C₂×D₄	—	8	4	no	—
1096	C₂×D₄	—	79	8	no	—
1097	C₂×D₄	—	79	8	no	—
1098	C₂×D₄	—	79	8	no	—
1099	C₂×D₄	—	79	8	no	—
1100	C₂×D₄	—	79	8	no	—
1101	C₂×D₄	—	79	4	no	—
1102	C₂×D₄	—	79	4	no	—
1103	C₂×D₄	—	79	2	no	—
1104	C₂×D₄	—	79	2	no	—
1105	C₂×D₄	—	79	4	no	—
1106	C₂×D₄	—	79	4	no	—
1107	C₂×D₄	—	79	4	no	—
1108	C₂×D₄	—	79	2	no	—
1109	C₂×D₄	—	79	2	no	—
1110	C₂×D₄	—	79	4	no	—
1111	C₂×D₄	—	79	4	no	—
1112	C₂×D₄	—	79	8	no	—
1113	C₂×D₄	—	79	8	no	—
1114	C₂×D₄	—	632	4	no	—
1115	C₂×D₄	—	632	4	no	—
1116	C₂×D₄	—	632	4	no	—
1117	C₂×D₄	—	158	16	no	—
1118	C₂×D₄	—	158	16	no	—
1119	C₂×D₄	—	158	4	no	—
1120	C₂×D₄	—	158	4	no	—
1121	C₂×D₄	—	158	4	no	—
1122	C₂×D₄	—	158	4	no	—
1123	C₂×D₄	—	158	8	no	—
1124	C₂×D₄	—	158	8	no	—
1125	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1126	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1127	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1128	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1129	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1130	C₂²×C₄	—	8	2	no	—
1131	C₂²×C₄	—	79	2	no	—
1132	C₂²×C₄	—	79	4	no	—
1133	C₂²×C₄	—	79	2	no	—
1134	C₂²×C₄	—	79	8	no	—
1135	C₂²×C₄	—	79	8	no	—
1136	C₂²×C₄	—	79	8	no	—
1137	C₂²×C₄	—	79	8	no	—
1138	C₂²×C₄	—	79	4	no	—
1139	C₂²×C₄	—	79	4	no	—
1140	C₂²×C₄	—	79	8	no	—
1141	C₂²×C₄	—	79	8	no	—
1142	C₂²×C₄	—	79	1	no	—
1143	C₂²×C₄	—	79	1	no	—
1144	C₂²×C₄	—	79	2	no	—
1145	C₂²×C₄	—	79	2	no	—
1146	C₂²×C₄	—	79	4	no	—
1147	C₂²×C₄	—	79	2	no	—
1148	C₂²×C₄	—	79	4	no	—
1149	C₂²×C₄	—	79	4	no	—
1150	C₂²×C₄	—	79	4	no	—
1151	C₂²×C₄	—	632	2	no	—
1152	C₂²×C₄	—	632	2	no	—
1153	C₂²×C₄	—	632	2	no	—
1154	C₂²×C₄	—	158	8	no	—
1155	C₂²×C₄	—	158	8	no	—
1156	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1157	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1158	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1159	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1160	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1161	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1162	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1163	C₄⋊C₄	—	79	4	no	—
1164	C₄⋊C₄	—	79	8	no	—
1165	C₄⋊C₄	—	79	4	no	—
1166	C₄⋊C₄	—	79	8	no	—
1167	C₄⋊C₄	—	79	8	no	—
1168	C₄⋊C₄	—	79	8	no	—
1169	C₄⋊C₄	—	79	8	no	—
1170	C₄⋊C₄	—	79	8	no	—
1171	C₄⋊C₄	—	79	8	no	—
1172	C₄⋊C₄	—	79	8	no	—
1173	C₄⋊C₄	—	79	8	no	—
1174	C₄⋊C₄	—	79	8	no	—
1175	C₄⋊C₄	—	79	4	no	—
1176	C₄⋊C₄	—	79	4	no	—
1177	C₄⋊C₄	—	79	8	no	—
1178	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1179	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1180	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1181	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1182	C₂²⋊C₄	—	79	4	no	—
1183	C₂²⋊C₄	—	79	4	no	—
1184	C₂²⋊C₄	—	79	4	no	—
1185	C₂²⋊C₄	—	79	4	no	—
1186	C₂²⋊C₄	—	79	4	no	—
1187	C₂²⋊C₄	—	79	4	no	—
1188	C₂²⋊C₄	—	79	8	no	—
1189	C₂²⋊C₄	—	79	8	no	—
1190	C₂²⋊C₄	—	79	8	no	—
1191	C₂²⋊C₄	—	79	8	no	—
1192	C₂²⋊C₄	—	79	8	no	—
1193	C₂²⋊C₄	—	79	4	no	—
1194	C₂²⋊C₄	—	79	4	no	—
1195	C₂²⋊C₄	—	79	8	no	—
1196	C₂²⋊C₄	—	79	8	no	—
1197	C₂²⋊C₄	—	79	8	no	—
1198	C₂²⋊C₄	—	79	8	no	—
1199	C₂²⋊C₄	—	79	8	no	—
1200	C₂²⋊C₄	—	79	8	no	—
1201	C₂²⋊C₄	—	79	8	no	—
1202	C₂²⋊C₄	—	79	8	no	—
1203	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1204	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1205	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1206	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1207	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1208	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1209	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1210	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1211	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1212	C₄²	—	79	8	no	—
1213	C₄²	—	79	8	no	—
1214	C₄²	—	79	8	no	—
1215	C₄²	—	79	8	no	—
1216	C₄²	—	79	8	no	—
1217	C₄²	—	79	4	no	—
1218	C₄²	—	79	4	no	—
1219	C₄²	—	79	8	no	—
1220	C₄²	C₂³×D₇₉	1	8	yes	—
1221	C₂³	—	2	2	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	4	no	—
1224	C₂³	—	2	8	no	—
1225	C₂³	—	4	2	no	—
1226	C₂³	—	4	2	no	—
1227	C₂³	—	4	2	no	—
1228	C₂³	—	4	4	no	—
1229	C₂³	—	4	4	no	—
1230	C₂³	—	4	4	no	—
1231	C₂³	—	8	8	no	—
1232	C₂³	—	316	2	no	—
1233	C₂³	—	316	2	no	—
1234	C₂³	—	316	4	no	—
1235	C₂³	—	316	4	no	—
1236	C₂³	—	316	4	no	—
1237	C₂³	—	79	2	no	—
1238	C₂³	—	79	2	no	—
1239	C₂³	—	79	4	no	—
1240	C₂³	—	632	8	no	—
1241	C₂³	—	158	2	no	—
1242	C₂³	—	158	2	no	—
1243	C₂³	—	158	4	no	—
1244	C₂³	—	158	8	no	—
1245	C₂³	#41×D₇₉	1	4	yes	—
1246	C₂³	C₂⁴×D₇₉	1	2	yes	—
1247	C₂³	C₂⁴×D₇₉	1	2	yes	—
1248	C₂³	C₂⁴×D₇₉	1	4	yes	—
1249	C₂³	C₂⁴×D₇₉	1	2	yes	—
1250	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1251	Q₈	—	4	4	no	—
1252	Q₈	—	316	4	no	—
1253	Q₈	—	316	8	no	—
1254	Q₈	—	158	8	no	—
1255	Q₈	—	158	8	no	—
1256	D₄	—	2	8	no	—
1257	D₄	—	2	8	no	—
1258	D₄	—	4	8	no	—
1259	D₄	—	4	8	no	—
1260	D₄	—	4	4	no	—
1261	D₄	—	316	8	no	—
1262	D₄	—	316	8	no	—
1263	D₄	—	316	4	no	—
1264	D₄	—	316	8	no	—
1265	D₄	—	316	8	no	—
1266	D₄	—	316	8	no	—
1267	D₄	—	316	8	no	—
1268	D₄	—	316	8	no	—
1269	D₄	—	158	4	no	—
1270	D₄	—	158	4	no	—
1271	D₄	—	158	8	no	—
1272	D₄	—	158	8	no	—
1273	D₄	—	158	4	no	—
1274	D₄	—	158	4	no	—
1275	D₄	—	158	8	no	—
1276	D₄	—	158	8	no	—
1277	D₄	—	158	8	no	—
1278	D₄	—	158	8	no	—
1279	C₂×C₄	—	2	4	no	—
1280	C₂×C₄	—	4	2	no	—
1281	C₂×C₄	—	4	2	no	—
1282	C₂×C₄	—	4	4	no	—
1283	C₂×C₄	—	4	4	no	—
1284	C₂×C₄	—	4	4	no	—
1285	C₂×C₄	—	4	8	no	—
1286	C₂×C₄	—	316	8	no	—
1287	C₂×C₄	—	316	4	no	—
1288	C₂×C₄	—	316	4	no	—
1289	C₂×C₄	—	316	8	no	—
1290	C₂×C₄	—	316	8	no	—
1291	C₂×C₄	—	316	2	no	—
1292	C₂×C₄	—	316	2	no	—
1293	C₂×C₄	—	316	8	no	—
1294	C₂×C₄	—	316	4	no	—
1295	C₂×C₄	—	316	8	no	—
1296	C₂×C₄	—	79	1	no	—
1297	C₂×C₄	—	79	2	no	—
1298	C₂×C₄	—	79	1	no	—
1299	C₂×C₄	—	79	8	no	—
1300	C₂×C₄	—	79	8	no	—
1301	C₂×C₄	—	79	4	no	—
1302	C₂×C₄	—	79	4	no	—
1303	C₂×C₄	—	79	4	no	—
1304	C₂×C₄	—	79	4	no	—
1305	C₂×C₄	—	79	8	no	—
1306	C₂×C₄	—	79	4	no	—
1307	C₂×C₄	—	158	8	no	—
1308	C₂×C₄	—	158	8	no	—
1309	C₂×C₄	—	158	8	no	—
1310	C₂×C₄	—	158	8	no	—
1311	C₂×C₄	—	158	4	no	—
1312	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1313	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1314	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1315	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1316	C₂²	—	2	2	no	—
1317	C₂²	—	2	4	no	—
1318	C₂²	—	2	4	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	2	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	2	no	—
1323	C₂²	—	2	8	no	—
1324	C₂²	—	2	4	no	—
1325	C₂²	—	4	4	no	—
1326	C₂²	—	4	4	no	—
1327	C₂²	—	4	4	no	—
1328	C₂²	—	8	8	no	—
1329	C₂²	—	8	4	no	—
1330	C₂²	—	316	4	no	—
1331	C₂²	—	316	4	no	—
1332	C₂²	—	632	8	no	—
1333	C₂²	—	632	4	no	—
1334	C₂²	—	158	4	no	—
1335	C₂²	—	158	2	no	—
1336	C₂²	—	158	2	no	—
1337	C₂²	—	158	8	no	—
1338	C₂²	—	158	2	no	—
1339	C₂²	—	158	4	no	—
1340	C₂²	—	158	2	no	—
1341	C₂²	C₂×#41×D₇₉	1	4	yes	—
1342	C₂²	C₂×#41×D₇₉	1	2	yes	—
1343	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1344	C₄	—	2	4	no	—
1345	C₄	—	2	4	no	—
1346	C₄	—	2	4	no	—
1347	C₄	—	2	8	no	—
1348	C₄	—	79	2	no	—
1349	C₄	—	79	4	no	—
1350	C₄	—	79	2	no	—
1351	C₄	—	158	4	no	—
1352	C₄	—	158	4	no	—
1353	C₄	—	158	4	no	—
1354	C₄	—	158	8	no	—
1355	C₂	—	2	2	no	—
1356	C₂	—	2	4	no	—
1357	C₂	—	4	2	no	—
1358	C₂	—	4	2	no	—
1359	C₂	—	4	4	no	—
1360	C₂	—	316	2	no	—
1361	C₂	—	316	2	no	—
1362	C₂	—	316	4	no	—
1363	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1364	C₂	#23778210	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3490	C₂
hypercenter	#3490	D₇₉
hypocenter	C₇₉	#62855
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3490

Complements

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

N	H ≅ G/N	type
1. #23777288	C₂	semidirect
2. #23777268	C₂	semidirect
3. #23777247	C₂	semidirect
4. #23777243	C₂	semidirect
5. #23777126	C₂	semidirect
6. #23777122	C₂	semidirect
7. #23777090	C₂	semidirect
8. #23777089	C₂	semidirect
9. #23777088	C₂	semidirect
10. #23777087	C₂	semidirect
11. #23777085	C₂	semidirect
12. #23776819	C₂	semidirect
13. #23776818	C₂	semidirect
14. #23776802	C₂	semidirect
15. #23776726	C₂	semidirect
16. C₂×#19099128	C₂	semidirect
17. #23776598	C₂	semidirect
18. C₂×#19099036	C₂	semidirect
19. C₇₉×#3490	C₂	semidirect
22. #19099297	C₂²	semidirect
23. #19099297	C₂²	semidirect
24. #19099296	C₂²	semidirect
25. #19099295	C₂²	semidirect
26. #19099284	C₂²	semidirect
27. #19099281	C₂²	semidirect
28. #19099280	C₂²	semidirect
29. #19099277	C₂²	semidirect
30. #19099276	C₂²	semidirect
31. #19099275	C₂²	semidirect
32. #19099264	C₂²	semidirect
33. #19099262	C₂²	semidirect
34. #19099258	C₂²	semidirect
35. #19099256	C₂²	semidirect
36. #19099244	C₂²	semidirect
37. #19099242	C₂²	semidirect
38. #19099240	C₂²	semidirect
39. #19099239	C₂²	semidirect
40. #19099239	C₂²	semidirect
41. #19099237	C₂²	semidirect
42. #19099236	C₂²	semidirect
43. #19099232	C₂²	semidirect
44. #19099231	C₂²	semidirect
45. #19099231	C₂²	semidirect
46. #19099215	C₂²	semidirect
47. #19099212	C₂²	semidirect
48. #19099211	C₂²	semidirect
49. #19099209	C₂²	semidirect
50. #19099207	C₂²	semidirect
51. #19099204	C₂²	semidirect
52. #19099203	C₂²	semidirect
53. #19099203	C₂²	semidirect
54. #19099200	C₂²	semidirect
55. #19099200	C₂²	semidirect
56. #19099192	C₂²	semidirect
57. #19099192	C₂²	semidirect
60. #19099183	C₂²	semidirect
61. #19099181	C₂²	semidirect
62. #19099179	C₂²	semidirect
63. #19099177	C₂²	semidirect
64. #19099165	C₂²	semidirect
65. #19099165	C₂²	semidirect
66. #19099163	C₂²	semidirect
67. #19099163	C₂²	semidirect
68. #19099153	C₂²	semidirect
69. #19099151	C₂²	semidirect
70. #19099150	C₂²	semidirect
71. #19099148	C₂²	semidirect
72. #19099146	C₂²	semidirect
73. #19099140	C₂²	semidirect
74. #19099135	C₂²	semidirect
77. #19099128	C₂²	semidirect
78. #19099128	C₂²	semidirect
79. #19099128	C₂²	semidirect
80. #19099128	C₂²	semidirect
81. #19099128	C₂²	semidirect
84. #19099115	C₂²	semidirect
85. #19099115	C₂²	semidirect
86. #19099112	C₂²	semidirect
87. #19099110	C₂²	semidirect
88. #19099109	C₂²	semidirect
89. #19099108	C₂²	semidirect
90. #19099108	C₂²	semidirect
91. C₂×#14579157	C₂²	semidirect
92. #19099096	C₂²	semidirect
93. #19099093	C₂²	semidirect
94. #19099091	C₂²	semidirect
95. #19099090	C₂²	semidirect
96. C₂×#14579147	C₂²	semidirect
97. #19099076	C₂²	semidirect
98. #19099074	C₂²	semidirect
99. #19099073	C₂²	semidirect
100. #19099072	C₂²	semidirect
101. #19099071	C₂²	semidirect
102. #19099069	C₂²	semidirect
103. #19099069	C₂²	semidirect
104. C₂×#14579134	C₂²	semidirect
105. C₂×#14579133	C₂²	semidirect
109. #19099042	C₂²	semidirect
110. #19099042	C₂²	semidirect
111. #19099040	C₂²	semidirect
115. #19099036	C₂²	semidirect
116. #19099036	C₂²	semidirect
117. #19099036	C₂²	semidirect
118. C₄×#11929623	C₂²	semidirect
119. C₄×#11929623	C₂²	semidirect
120. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
121. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
122. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
123. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
127. C₂×#14579117	C₂²	semidirect
128. #117×D₇₉	C₂²	semidirect
132. #551×C₇₉	C₂²	semidirect
133. #546×C₇₉	C₂²	semidirect
135. #538×C₇₉	C₂²	semidirect
137. #525×C₇₉	C₂²	semidirect
142. C₂×#11929625	C₂³	semidirect
143. C₂×#11929624	C₂³	semidirect
144. C₂×#11929624	C₂³	semidirect
150. C₂×#11929623	C₂³	semidirect
151. C₂×#11929623	C₂³	semidirect
171. #14579160	C₂³	semidirect
172. #14579160	C₂³	semidirect
173. #14579160	C₂³	semidirect
174. #14579159	C₂³	semidirect
175. #14579159	C₂³	semidirect
180. #14579157	C₂³	semidirect
181. #14579156	C₂³	semidirect
182. #14579156	C₂³	semidirect
183. #14579156	C₂³	semidirect
184. #14579155	C₂³	semidirect
185. #14579154	C₂³	semidirect
186. #14579154	C₂³	semidirect
187. #14579154	C₂³	semidirect
188. #14579151	C₂³	semidirect
189. #14579151	C₂³	semidirect
190. #14579151	C₂³	semidirect
191. #14579150	C₂³	semidirect
192. #14579149	C₂³	semidirect
193. #14579148	C₂³	semidirect
198. #14579147	C₂³	semidirect
199. #14579147	C₂³	semidirect
200. #14579147	C₂³	semidirect
201. #14579147	C₂³	semidirect
202. #14579147	C₂³	semidirect
203. #14579146	C₂³	semidirect
204. #14579146	C₂³	semidirect
205. #14579146	C₂³	semidirect
206. #14579146	C₂³	semidirect
208. #14579145	C₂³	semidirect
209. #14579145	C₂³	semidirect
211. #14579144	C₂³	semidirect
212. #14579144	C₂³	semidirect
213. #14579143	C₂³	semidirect
214. #14579143	C₂³	semidirect
215. #14579143	C₂³	semidirect
216. #14579143	C₂³	semidirect
218. #14579142	C₂³	semidirect
219. #14579142	C₂³	semidirect
220. #14579141	C₂³	semidirect
223. #14579140	C₂³	semidirect
224. #14579139	C₂³	semidirect
225. #14579139	C₂³	semidirect
229. #14579138	C₂³	semidirect
230. #14579138	C₂³	semidirect
231. #14579137	C₂³	semidirect
232. #14579136	C₂³	semidirect
233. #14579136	C₂³	semidirect
235. #14579135	C₂³	semidirect
236. #14579135	C₂³	semidirect
241. #14579134	C₂³	semidirect
242. #14579134	C₂³	semidirect
243. #14579134	C₂³	semidirect
244. #14579134	C₂³	semidirect
250. #14579133	C₂³	semidirect
251. #14579133	C₂³	semidirect
252. #14579133	C₂³	semidirect
253. #14579133	C₂³	semidirect
254. #14579132	C₂³	semidirect
255. #14579132	C₂³	semidirect
268. Q₈×Dic₇₉	C₂³	semidirect
269. C₄×Dic₁₅₈	C₂³	semidirect
270. C₄×Dic₁₅₈	C₂³	semidirect
271. #14579126	C₂³	semidirect
272. #14579126	C₂³	semidirect
273. #14579126	C₂³	semidirect
274. #14579126	C₂³	semidirect
275. C₄×D₃₁₆	C₂³	semidirect
278. D₄×Dic₇₉	C₂³	semidirect
279. D₄×Dic₇₉	C₂³	semidirect
280. #14579123	C₂³	semidirect
281. #14579123	C₂³	semidirect
290. C₄×C₂²⋊D₇₉	C₂³	semidirect
291. C₄×C₂²⋊D₇₉	C₂³	semidirect
292. C₄×C₂²⋊D₇₉	C₂³	semidirect
293. C₄×C₂²⋊D₇₉	C₂³	semidirect
300. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
301. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
302. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
303. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
304. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
306. #14579120	C₂³	semidirect
307. #14579119	C₂³	semidirect
308. #14579119	C₂³	semidirect
309. #14579119	C₂³	semidirect
310. #14579118	C₂³	semidirect
311. #14579118	C₂³	semidirect
322. #14579117	C₂³	semidirect
323. #14579117	C₂³	semidirect
324. #14579117	C₂³	semidirect
328. C₂×Dic₇₉⋊C₄	C₂³	semidirect
329. C₄⋊C₄×D₇₉	C₂³	semidirect
348. C₂×C₄×Dic₇₉	C₂³	semidirect
349. C₄²×D₇₉	C₂³	semidirect
351. C₂×#41×C₇₉	C₂³	semidirect
355. #126×C₇₉	C₂³	semidirect
356. #124×C₇₉	C₂³	semidirect
358. #123×C₇₉	C₂³	semidirect
359. #123×C₇₉	C₂³	semidirect
362. C₂²⋊Q₈×C₇₉	C₂³	semidirect
364. #121×C₇₉	C₂³	semidirect
365. #121×C₇₉	C₂³	semidirect
372. C₄×D₄×C₇₉	C₂³	semidirect
374. #117×C₇₉	C₂³	semidirect
433. C₂²×Dic₇₉	#41	semidirect
694. #3490	D₇₉	semidirect
702. C₇₉	#62855	semidirect
726. #551	C₂×D₇₉	semidirect
740. #546	C₂×D₇₉	semidirect
759. #538	C₂×D₇₉	semidirect
792. #525	C₂×D₇₉	semidirect
836. C₂×#41	C₂²×D₇₉	semidirect
876. #126	C₂²×D₇₉	semidirect
892. #124	C₂²×D₇₉	semidirect
911. #123	C₂²×D₇₉	semidirect
912. #123	C₂²×D₇₉	semidirect
927. C₂²⋊Q₈	C₂²×D₇₉	semidirect
953. #121	C₂²×D₇₉	semidirect
954. #121	C₂²×D₇₉	semidirect
1010. C₄×D₄	C₂²×D₇₉	semidirect
1032. #117	C₂²×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#23777288	2
#23777268	2
#23777247	2
#23777243	2
#23777126	2
#23777122	2
#23777090	2
#23777089	2
#23777088	2
#23777087	2
#23777085	2
#23776819	2
#23776818	2
#23776802	2
#23776726	2
C₂×#19099128	2
#23776598	2
C₂×#19099036	2
C₇₉×#3490	2
#62855	79