Subgroups — #35196838

Order 20224.

7286 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777143	C₂	1	8	yes	maximal, complemented
2	#23777126	C₂	1	8	yes	maximal, complemented
3	#23777112	C₂	1	4	yes	maximal, complemented
4	#23777105	C₂	1	4	yes	maximal, complemented
5	#23777098	C₂	1	1	yes	maximal, characteristic, complemented
6	#23777096	C₂	1	2	yes	maximal, complemented
7	#23777090	C₂	1	1	yes	maximal, characteristic, complemented
8	#23777088	C₂	1	1	yes	maximal, characteristic, complemented
9	#23777085	C₂	1	2	yes	maximal, complemented
10	#23776965	C₂	1	8	yes	maximal, complemented
11	#23776955	C₂	1	8	yes	maximal, complemented
12	#23776802	C₂	1	1	yes	maximal, characteristic, complemented
13	#23776786	C₂	1	4	yes	maximal, complemented
14	#23776726	C₂	1	1	yes	maximal, characteristic, complemented
15	#23776694	C₂	1	4	yes	maximal, complemented
16	C₂×#19099071	C₂	1	2	yes	maximal, complemented
17	#23776598	C₂	1	2	yes	maximal, complemented
18	C₂×#117×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₉×#3491	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#11929623	C₂²	1	2	yes	—
21	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic
22	#19099285	C₂²	1	8	yes	complemented
23	#19099280	C₂²	1	8	yes	complemented
24	#19099276	C₂²	1	8	yes	complemented
25	#19099275	C₂²	1	8	yes	complemented
26	#19099269	C₂²	1	8	yes	complemented
27	#19099267	C₂²	1	8	yes	complemented
28	#19099264	C₂²	1	8	yes	complemented
29	#19099264	C₂²	1	8	yes	complemented
30	#19099262	C₂²	1	8	yes	complemented
31	#19099258	C₂²	1	8	yes	complemented
32	#19099250	C₂²	1	8	yes	complemented
33	#19099249	C₂²	1	8	yes	complemented
34	#19099248	C₂²	1	8	yes	complemented
35	#19099246	C₂²	1	8	yes	complemented
36	#19099246	C₂²	1	8	yes	complemented
37	#19099245	C₂²	1	8	yes	complemented
38	#19099245	C₂²	1	8	yes	complemented
39	#19099242	C₂²	1	8	yes	complemented
40	#19099240	C₂²	1	8	yes	complemented
41	#19099239	C₂²	1	8	yes	complemented
42	#19099237	C₂²	1	8	yes	complemented
43	#19099237	C₂²	1	8	yes	complemented
44	#19099236	C₂²	1	8	yes	complemented
45	#19099236	C₂²	1	8	yes	complemented
46	#19099215	C₂²	1	8	yes	complemented
47	#19099211	C₂²	1	8	yes	complemented
48	#19099209	C₂²	1	8	yes	complemented
49	#19099204	C₂²	1	8	yes	complemented
50	#19099203	C₂²	1	8	yes	complemented
51	#19099200	C₂²	1	8	yes	complemented
52	#19099192	C₂²	1	4	yes	complemented
53	#19099192	C₂²	1	8	yes	complemented
54	#19099189	C₂²	1	2	yes	—
55	#19099189	C₂²	1	1	yes	characteristic
56	#19099183	C₂²	1	8	yes	complemented
57	#19099179	C₂²	1	8	yes	complemented
58	#19099172	C₂²	1	8	yes	complemented
59	#19099165	C₂²	1	8	yes	complemented
60	#19099160	C₂²	1	4	yes	complemented
61	#19099157	C₂²	1	8	yes	complemented
62	#19099153	C₂²	1	4	yes	complemented
63	#19099150	C₂²	1	4	yes	complemented
64	#19099146	C₂²	1	8	yes	complemented
65	#19099140	C₂²	1	4	yes	complemented
66	#19099135	C₂²	1	4	yes	complemented
67	#19099128	C₂²	1	4	yes	complemented
68	#19099125	C₂²	1	1	yes	characteristic
69	#19099122	C₂²	1	2	yes	—
70	#19099119	C₂²	1	4	yes	complemented
71	#19099117	C₂²	1	4	yes	complemented
72	#19099115	C₂²	1	4	yes	complemented
73	#19099115	C₂²	1	8	yes	complemented
74	#19099112	C₂²	1	4	yes	complemented
75	#19099110	C₂²	1	4	yes	complemented
76	#19099108	C₂²	1	4	yes	complemented
77	#19099099	C₂²	1	8	yes	complemented
78	#19099098	C₂²	1	4	yes	complemented
79	#19099098	C₂²	1	8	yes	complemented
80	#19099097	C₂²	1	4	yes	complemented
81	#19099096	C₂²	1	8	yes	complemented
82	#19099096	C₂²	1	8	yes	complemented
83	#19099096	C₂²	1	8	yes	complemented
84	#19099092	C₂²	1	4	yes	complemented
85	#19099091	C₂²	1	8	yes	complemented
86	#19099090	C₂²	1	8	yes	complemented
87	#19099090	C₂²	1	8	yes	complemented
88	#19099076	C₂²	1	4	yes	complemented
89	#19099073	C₂²	1	4	yes	complemented
90	#19099072	C₂²	1	8	yes	complemented
91	#19099071	C₂²	1	8	yes	—
92	#19099071	C₂²	1	8	yes	—
93	#19099071	C₂²	1	4	yes	complemented
94	#19099071	C₂²	1	4	yes	complemented
95	#19099071	C₂²	1	4	yes	complemented
96	#19099071	C₂²	1	4	yes	complemented
97	#19099071	C₂²	1	4	yes	complemented
98	#19099069	C₂²	1	4	yes	complemented
99	C₂×#14579144	C₂²	1	2	yes	—
100	C₂×#14579139	C₂²	1	4	yes	complemented
101	C₂×#14579134	C₂²	1	4	yes	complemented
102	C₂×#14579131	C₂²	1	2	yes	—
103	C₂×#14579129	C₂²	1	2	yes	—
104	#19099042	C₂²	1	8	yes	complemented
105	#19099042	C₂²	1	8	yes	complemented
106	#19099040	C₂²	1	4	yes	complemented
107	#19099038	C₂²	1	2	yes	—
108	#19099036	C₂²	1	2	yes	—
109	#19099036	C₂²	1	2	yes	—
110	#19099036	C₂²	1	4	yes	complemented
111	C₄×#11929625	C₂²	1	4	yes	complemented
112	#19099031	C₂²	1	8	yes	complemented
113	C₄×#11929623	C₂²	1	8	yes	complemented
114	C₄×#11929623	C₂²	1	8	yes	complemented
115	C₄×#11929623	C₂²	1	4	yes	complemented
116	C₂×#14579123	C₂²	1	4	yes	complemented
117	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	4	yes	complemented
118	C₂×#14579120	C₂²	1	1	yes	characteristic
119	C₂×#14579119	C₂²	1	2	yes	complemented
120	C₂×#14579118	C₂²	1	2	yes	complemented
121	C₂×#14579117	C₂²	1	1	yes	characteristic
122	C₂×#14579117	C₂²	1	2	yes	—
123	C₂×#14579117	C₂²	1	1	yes	characteristic
124	C₂×#14579117	C₂²	1	4	yes	complemented
125	#117×D₇₉	C₂²	1	8	yes	complemented
126	#117×D₇₉	C₂²	1	8	yes	complemented
127	#117×D₇₉	C₂²	1	4	yes	complemented
128	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	complemented
129	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
130	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
131	C₂×C₄²×D₇₉	C₂²	1	2	yes	complemented
132	#552×C₇₉	C₂²	1	8	yes	complemented
133	#551×C₇₉	C₂²	1	8	yes	complemented
134	#543×C₇₉	C₂²	1	1	yes	characteristic
135	#539×C₇₉	C₂²	1	4	yes	complemented
136	#534×C₇₉	C₂²	1	1	yes	characteristic
137	#529×C₇₉	C₂²	1	4	yes	complemented
138	C₂×#123×C₇₉	C₂²	1	2	yes	—
139	#518×C₇₉	C₂²	1	2	yes	—
140	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic
141	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
142	C₂×#11929625	C₂³	1	4	yes	—
143	C₂×#11929624	C₂³	1	8	yes	—
144	C₂×#11929623	—	2	16	no	—
145	C₂×#11929623	C₂³	1	4	yes	—
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	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
151	C₂²×D₃₁₆	C₂³	1	4	yes	—
152	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
153	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
154	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
155	C₂³×Dic₇₉	C₂³	1	2	yes	—
156	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
157	C₂²×C₄×D₇₉	—	2	8	no	—
158	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
159	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
160	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
161	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
162	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
163	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
164	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
165	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
166	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
167	#14579160	C₂³	1	4	yes	complemented
168	#14579160	C₂³	1	4	yes	complemented
169	#14579160	C₂³	1	8	yes	complemented
170	#14579159	C₂³	1	4	yes	complemented
171	#14579159	C₂³	1	8	yes	complemented
172	#14579157	C₂³	1	4	yes	complemented
173	#14579156	C₂³	1	8	yes	—
174	#14579156	C₂³	1	8	yes	—
175	#14579156	C₂³	1	8	yes	—
176	#14579156	C₂³	1	8	yes	complemented
177	#14579156	C₂³	1	8	yes	complemented
178	#14579156	C₂³	1	8	yes	complemented
179	#14579155	C₂³	1	8	yes	—
180	#14579155	C₂³	1	8	yes	complemented
181	#14579154	C₂³	1	8	yes	complemented
182	#14579154	C₂³	1	8	yes	complemented
183	#14579153	C₂³	1	4	yes	complemented
184	#14579152	C₂³	1	8	yes	complemented
185	#14579151	C₂³	1	8	yes	complemented
186	#14579151	C₂³	1	8	yes	complemented
187	#14579151	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	—
192	#14579149	C₂³	1	8	yes	—
193	#14579149	C₂³	1	4	yes	complemented
194	#14579147	C₂³	1	8	yes	—
195	#14579147	C₂³	1	8	yes	—
196	#14579147	C₂³	1	8	yes	complemented
197	#14579147	C₂³	1	8	yes	complemented
198	#14579146	C₂³	1	8	yes	—
199	#14579146	C₂³	1	8	yes	—
200	#14579146	C₂³	1	8	yes	—
201	#14579146	C₂³	1	8	yes	—
202	#14579146	C₂³	1	8	yes	complemented
203	#14579145	C₂³	1	8	yes	—
204	#14579145	C₂³	1	4	yes	—
205	#14579145	C₂³	1	8	yes	complemented
206	#14579144	C₂³	1	8	yes	—
207	#14579144	C₂³	1	4	yes	—
208	#14579144	C₂³	1	4	yes	—
209	#14579144	C₂³	1	8	yes	—
210	#14579144	C₂³	1	4	yes	—
211	#14579143	C₂³	1	8	yes	—
212	#14579143	C₂³	1	8	yes	—
213	#14579143	C₂³	1	8	yes	complemented
214	#14579142	C₂³	1	4	yes	—
215	#14579141	C₂³	1	4	yes	—
216	#14579141	C₂³	1	8	yes	complemented
217	#14579140	C₂³	1	4	yes	—
218	#14579140	C₂³	1	8	yes	—
219	#14579139	C₂³	1	8	yes	—
220	#14579139	C₂³	1	8	yes	—
221	#14579139	C₂³	1	8	yes	—
222	#14579139	C₂³	1	8	yes	—
223	#14579139	C₂³	1	8	yes	—
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	—
232	#14579136	C₂³	1	8	yes	—
233	#14579136	C₂³	1	4	yes	—
234	#14579135	C₂³	1	4	yes	—
235	#14579135	C₂³	1	8	yes	—
236	#14579134	C₂³	1	8	yes	—
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	—
242	#14579134	C₂³	1	8	yes	complemented
243	#14579133	C₂³	1	8	yes	—
244	#14579133	C₂³	1	8	yes	—
245	#14579133	C₂³	1	8	yes	complemented
246	#14579132	C₂³	1	4	yes	—
247	#14579131	C₂³	1	4	yes	—
248	#14579131	C₂³	1	8	yes	—
249	#14579131	C₂³	1	4	yes	—
250	#14579131	C₂³	1	4	yes	—
251	#14579130	C₂³	1	4	yes	—
252	#14579129	C₂³	1	4	yes	—
253	#14579129	C₂³	1	8	yes	—
254	#14579129	C₂³	1	4	yes	—
255	#14579129	C₂³	1	4	yes	—
256	Q₈×Dic₇₉	C₂³	1	4	yes	complemented
257	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
258	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
259	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
260	#14579126	C₂³	1	8	yes	complemented
261	#14579126	C₂³	1	8	yes	complemented
262	#14579126	C₂³	1	8	yes	complemented
263	#14579126	C₂³	1	4	yes	complemented
264	#14579126	C₂³	1	8	yes	complemented
265	C₄×D₃₁₆	C₂³	1	8	yes	—
266	C₄×D₃₁₆	C₂³	1	4	yes	complemented
267	D₄×Dic₇₉	C₂³	1	8	yes	—
268	D₄×Dic₇₉	C₂³	1	8	yes	—
269	D₄×Dic₇₉	C₂³	1	4	yes	complemented
270	#14579123	C₂³	1	8	yes	—
271	#14579123	C₂³	1	8	yes	—
272	#14579123	C₂³	1	8	yes	—
273	#14579123	C₂³	1	8	yes	—
274	#14579123	C₂³	1	8	yes	—
275	#14579123	C₂³	1	4	yes	complemented
276	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
277	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
278	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
279	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
280	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
281	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
282	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
283	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
284	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
285	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
286	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
287	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
288	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
289	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
290	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
291	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
292	#14579120	C₂³	1	4	yes	—
293	#14579120	C₂³	1	8	yes	—
294	#14579119	C₂³	1	8	yes	—
295	#14579119	C₂³	1	4	yes	—
296	#14579119	C₂³	1	4	yes	—
297	#14579119	C₂³	1	8	yes	—
298	#14579119	C₂³	1	8	yes	complemented
299	#14579119	C₂³	1	8	yes	complemented
300	#14579118	C₂³	1	8	yes	—
301	#14579118	C₂³	1	8	yes	—
302	#14579118	C₂³	1	8	yes	—
303	#14579118	C₂³	1	8	yes	complemented
304	#14579118	C₂³	1	8	yes	complemented
305	#14579117	C₂³	1	4	yes	—
306	#14579117	C₂³	1	4	yes	—
307	#14579117	C₂³	1	4	yes	—
308	#14579117	C₂³	1	4	yes	—
309	#14579117	C₂³	1	4	yes	—
310	#14579117	C₂³	1	4	yes	—
311	#14579117	C₂³	1	4	yes	—
312	#14579117	C₂³	1	4	yes	—
313	#14579117	C₂³	1	4	yes	—
314	#14579117	C₂³	1	4	yes	—
315	#14579117	C₂³	1	8	yes	complemented
316	#14579117	C₂³	1	8	yes	complemented
317	#14579117	C₂³	1	8	yes	complemented
318	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
319	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
320	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	—
321	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	—
322	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
323	C₂×Dic₇₉⋊C₄	C₂³	1	8	yes	complemented
324	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
325	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
326	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
327	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
329	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
330	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
331	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
332	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
333	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
334	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
335	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
336	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
337	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
338	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
339	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
340	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
341	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
342	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
343	C₂×C₄×Dic₇₉	C₂³	1	4	yes	—
344	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
345	C₄²×D₇₉	C₂³	1	4	yes	—
346	C₄²×D₇₉	C₂³	1	4	yes	—
347	C₄²×D₇₉	C₂³	1	4	yes	—
348	C₄²×D₇₉	C₂³	1	4	yes	—
349	C₄²×D₇₉	C₂³	1	8	yes	complemented
350	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
351	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
352	#126×C₇₉	C₂³	1	8	yes	complemented
353	#126×C₇₉	C₂³	1	8	yes	complemented
354	#125×C₇₉	C₂³	1	8	yes	complemented
355	#125×C₇₉	C₂³	1	4	yes	complemented
356	#124×C₇₉	C₂³	1	4	yes	complemented
357	#123×C₇₉	C₂³	1	4	yes	—
358	#123×C₇₉	C₂³	1	4	yes	—
359	#123×C₇₉	C₂³	1	8	yes	—
360	#123×C₇₉	C₂³	1	4	yes	—
361	#123×C₇₉	C₂³	1	8	yes	complemented
362	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	—
363	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	—
364	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
365	#121×C₇₉	C₂³	1	4	yes	—
366	#120×C₇₉	C₂³	1	4	yes	—
367	C₄×Q₈×C₇₉	C₂³	1	4	yes	complemented
368	C₄×D₄×C₇₉	C₂³	1	8	yes	—
369	C₄×D₄×C₇₉	C₂³	1	8	yes	—
370	C₄×D₄×C₇₉	C₂³	1	4	yes	complemented
371	#117×C₇₉	C₂³	1	8	yes	—
372	#117×C₇₉	C₂³	1	4	yes	—
373	#117×C₇₉	C₂³	1	8	yes	complemented
374	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
375	C₂×C₄⋊C₄×C₇₉	C₂³	1	4	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	1	yes	characteristic
380	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
381	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
382	C₂³×D₇₉	—	2	4	no	—
383	C₂³×D₇₉	—	4	4	no	—
384	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
385	C₂³×D₇₉	C₂⁴	1	4	yes	—
386	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
387	C₂³×D₇₉	C₂⁴	1	2	yes	—
388	#11929625	—	4	8	no	—
389	#11929624	—	4	16	no	—
390	#11929623	—	2	16	no	—
391	#11929623	—	2	16	no	—
392	#11929623	—	2	16	no	—
393	#11929623	—	2	16	no	—
394	#11929623	—	4	8	no	—
395	C₂×Dic₁₅₈	—	2	8	no	—
396	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
397	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
398	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
399	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
400	C₂×D₃₁₆	—	4	8	no	—
401	C₂×D₃₁₆	C₂⁴	1	8	yes	—
402	C₂×D₃₁₆	C₂⁴	1	4	yes	—
403	C₂×D₃₁₆	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₇₉	—	2	8	no	—
405	C₂×C₂²⋊D₇₉	—	2	8	no	—
406	C₂×C₂²⋊D₇₉	—	4	8	no	—
407	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
408	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
409	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
410	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
411	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
412	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
414	C₂²×Dic₇₉	—	2	8	no	—
415	C₂²×Dic₇₉	#41	1	8	yes	complemented
416	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
417	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
418	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
419	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
420	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
421	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
422	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
423	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
424	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
427	C₂×C₄×D₇₉	—	2	8	no	—
428	C₂×C₄×D₇₉	—	2	4	no	—
429	C₂×C₄×D₇₉	—	2	4	no	—
430	C₂×C₄×D₇₉	—	2	16	no	—
431	C₂×C₄×D₇₉	—	2	16	no	—
432	C₂×C₄×D₇₉	—	2	4	no	—
433	C₂×C₄×D₇₉	—	2	4	no	—
434	C₂×C₄×D₇₉	—	4	4	no	—
435	C₂×C₄×D₇₉	—	4	4	no	—
436	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
437	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
438	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
439	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
440	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
441	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
442	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
443	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
444	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
445	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
446	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
447	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
448	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
449	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
450	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
451	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
452	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
453	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
454	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
455	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
456	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
457	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
458	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
459	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
460	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
461	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
462	Dic₇₉⋊C₄	C₂⁴	1	8	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	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
468	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
469	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
470	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
471	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
472	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
473	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
474	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
476	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
477	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
478	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
479	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
480	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
481	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
483	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
485	C₄×Dic₇₉	C₂⁴	1	4	yes	—
486	C₄×Dic₇₉	C₂⁴	1	4	yes	—
487	C₄×Dic₇₉	C₂⁴	1	4	yes	—
488	C₄×Dic₇₉	C₂⁴	1	4	yes	—
489	C₄×Dic₇₉	C₂⁴	1	4	yes	—
490	C₄×Dic₇₉	C₂⁴	1	4	yes	—
491	C₄×Dic₇₉	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	8	yes	—
496	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
497	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
499	C₂×D₄×C₇₉	—	2	8	no	—
500	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
501	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
502	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
503	C₂²×C₄×C₇₉	—	2	4	no	—
504	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
505	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
507	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
509	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
510	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
511	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
512	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
513	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
514	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
515	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
516	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
517	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
518	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
519	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
520	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
521	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
522	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
523	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
524	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
525	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
526	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
527	C₄²×C₇₉	C₂⁴	1	4	yes	—
528	C₄²×C₇₉	C₂⁴	1	4	yes	—
529	C₄²×C₇₉	C₂⁴	1	8	yes	—
530	C₂³×C₇₉	—	2	4	no	—
531	C₂³×C₇₉	—	4	2	no	—
532	C₂³×C₇₉	—	4	4	no	—
533	C₂³×C₇₉	C₂×#41	1	4	yes	—
534	C₂³×C₇₉	C₂⁵	1	4	yes	—
535	C₂³×C₇₉	C₂⁵	1	2	yes	—
536	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
537	C₂²×D₇₉	—	2	2	no	—
538	C₂²×D₇₉	—	2	4	no	—
539	C₂²×D₇₉	—	2	8	no	—
540	C₂²×D₇₉	—	2	2	no	—
541	C₂²×D₇₉	—	2	4	no	—
542	C₂²×D₇₉	—	2	8	no	—
543	C₂²×D₇₉	—	4	4	no	—
544	C₂²×D₇₉	—	4	2	no	—
545	C₂²×D₇₉	—	4	4	no	—
546	C₂²×D₇₉	—	4	16	no	—
547	C₂²×D₇₉	C₂⁵	1	2	yes	—
548	C₂²×D₇₉	C₂⁵	1	4	yes	—
549	C₂²×D₇₉	C₂⁵	1	2	yes	—
550	Q₈×C₇₉	—	4	4	no	—
551	D₄×C₇₉	—	2	8	no	—
552	D₄×C₇₉	—	2	8	no	—
553	D₄×C₇₉	—	4	4	no	—
554	C₂×C₄×C₇₉	—	2	2	no	—
555	C₂×C₄×C₇₉	—	2	2	no	—
556	C₂×C₄×C₇₉	—	2	8	no	—
557	C₂×C₄×C₇₉	—	2	4	no	—
558	C₂×C₄×C₇₉	—	4	2	no	—
559	C₂×C₄×C₇₉	—	4	2	no	—
560	C₂×C₄×C₇₉	—	4	4	no	—
561	C₂×C₄×C₇₉	—	4	8	no	—
562	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
563	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
564	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
565	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
566	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
567	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
568	C₂²⋊D₇₉	—	2	8	no	—
569	C₂²⋊D₇₉	—	2	8	no	—
570	C₂²⋊D₇₉	—	2	16	no	—
571	C₂²⋊D₇₉	—	2	8	no	—
572	C₂²⋊D₇₉	—	2	8	no	—
573	C₂²⋊D₇₉	—	4	8	no	—
574	C₂²⋊D₇₉	—	4	8	no	—
575	C₂×Dic₇₉	—	2	4	no	—
576	C₂×Dic₇₉	—	2	8	no	—
577	C₂×Dic₇₉	—	2	8	no	—
578	C₂×Dic₇₉	—	4	2	no	—
579	C₂×Dic₇₉	—	4	2	no	—
580	C₂×Dic₇₉	—	4	4	no	—
581	C₂×Dic₇₉	—	4	8	no	—
582	C₂×Dic₇₉	C₂×#41	1	8	yes	—
583	C₂×Dic₇₉	C₂×#41	1	8	yes	—
584	C₂×Dic₇₉	C₂×#41	1	4	yes	—
585	C₂×Dic₇₉	C₂×#41	1	4	yes	—
586	C₂×Dic₇₉	C₂⁵	1	4	yes	—
587	C₂×Dic₇₉	C₂⁵	1	4	yes	—
588	C₂×Dic₇₉	C₂⁵	1	8	yes	—
589	C₂×Dic₇₉	C₂⁵	1	4	yes	—
590	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
591	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
592	C₂×Dic₇₉	C₂⁵	1	2	yes	—
593	D₃₁₆	—	2	16	no	—
594	D₃₁₆	—	4	8	no	—
595	D₃₁₆	—	4	4	no	—
596	C₄×D₇₉	—	2	8	no	—
597	C₄×D₇₉	—	2	8	no	—
598	C₄×D₇₉	—	2	4	no	—
599	C₄×D₇₉	—	2	4	no	—
600	C₄×D₇₉	—	2	8	no	—
601	C₄×D₇₉	—	2	8	no	—
602	C₄×D₇₉	—	2	4	no	—
603	C₄×D₇₉	—	2	4	no	—
604	C₄×D₇₉	—	2	8	no	—
605	C₄×D₇₉	—	2	8	no	—
606	C₄×D₇₉	—	4	4	no	—
607	C₄×D₇₉	—	4	4	no	—
608	C₄×D₇₉	—	4	8	no	—
609	C₄×D₇₉	—	4	8	no	—
610	Dic₁₅₈	—	2	8	no	—
611	Dic₁₅₈	—	2	8	no	—
612	Dic₁₅₈	—	4	4	no	—
613	Dic₁₅₈	—	4	8	no	—
614	C₂²×C₇₉	—	2	2	no	—
615	C₂²×C₇₉	—	2	4	no	—
616	C₂²×C₇₉	—	2	4	no	—
617	C₂²×C₇₉	—	2	8	no	—
618	C₂²×C₇₉	—	4	4	no	—
619	C₂²×C₇₉	—	8	4	no	—
620	C₂²×C₇₉	C₂²×#41	1	2	yes	—
621	C₂²×C₇₉	C₂²×#41	1	4	yes	—
622	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
623	C₂×D₇₉	—	2	8	no	—
624	C₂×D₇₉	—	2	2	no	—
625	C₂×D₇₉	—	2	2	no	—
626	C₂×D₇₉	—	2	4	no	—
627	C₂×D₇₉	—	2	2	no	—
628	C₂×D₇₉	—	2	4	no	—
629	C₂×D₇₉	—	2	8	no	—
630	C₂×D₇₉	—	4	16	no	—
631	C₂×D₇₉	—	4	4	no	—
632	C₂×D₇₉	—	8	4	no	—
633	C₂×D₇₉	#585	1	4	yes	—
634	C₄×C₇₉	—	2	2	no	—
635	C₄×C₇₉	—	2	2	no	—
636	C₄×C₇₉	—	2	4	no	—
637	C₄×C₇₉	—	2	4	no	—
638	C₄×C₇₉	—	2	8	no	—
639	C₄×C₇₉	—	2	4	no	—
640	Dic₇₉	—	2	4	no	—
641	Dic₇₉	—	2	8	no	—
642	Dic₇₉	—	2	4	no	—
643	Dic₇₉	—	2	4	no	—
644	Dic₇₉	C₂²×#41	1	2	yes	—
645	Dic₇₉	C₂²×#41	1	4	yes	—
646	Dic₇₉	C₂²×#41	1	2	yes	—
647	#62814	—	79	1	no	maximal, Sylow
648	C₂×C₇₉	—	2	2	no	—
649	C₂×C₇₉	—	2	4	no	—
650	C₂×C₇₉	—	4	4	no	—
651	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
652	C₂×C₇₉	C₂×#585	1	2	yes	—
653	D₇₉	—	2	4	no	—
654	D₇₉	—	4	2	no	—
655	D₇₉	—	4	4	no	—
656	#3495	—	79	8	no	—
657	#3494	—	79	8	no	—
658	#3493	—	79	4	no	—
659	#3492	—	79	4	no	—
660	#3491	—	79	2	no	—
661	#3491	—	79	1	no	—
662	#3491	D₇₉	1	1	yes	characteristic, complemented
663	#3490	—	79	1	no	—
664	#3490	—	79	1	no	—
665	#3490	—	79	2	no	—
666	#3475	—	79	8	no	—
667	#3475	—	79	8	no	—
668	#3458	—	79	1	no	—
669	#3455	—	79	4	no	—
670	#3449	—	79	1	no	—
671	#3444	—	79	4	no	—
672	C₂×#525	—	79	2	no	—
673	#3428	—	79	2	no	—
674	C₂²×#117	—	79	1	no	—
675	C₇₉	#62814	1	1	yes	characteristic, complemented, Sylow
676	C₂²×#41	—	79	2	no	—
677	C₂⁴×C₄	—	79	1	no	—
678	#556	—	79	8	no	—
679	#556	—	79	8	no	—
680	#555	—	79	8	no	—
681	#555	—	79	8	no	—
682	#554	—	79	8	no	—
683	#554	—	79	8	no	—
684	#553	—	79	8	no	—
685	#553	—	79	8	no	—
686	#553	—	79	8	no	—
687	#553	—	79	8	no	—
688	#552	—	79	8	no	—
689	#552	—	79	8	no	—
690	#552	—	79	8	no	—
691	#552	—	79	8	no	—
692	#552	—	79	8	no	—
693	#552	—	79	8	no	—
694	#552	—	79	8	no	—
695	#552	C₂×D₇₉	1	8	yes	complemented
696	#551	—	79	8	no	—
697	#551	—	79	8	no	—
698	#551	—	79	8	no	—
699	#551	—	79	8	no	—
700	#551	—	79	8	no	—
701	#551	—	79	8	no	—
702	#551	—	79	8	no	—
703	#551	C₂×D₇₉	1	8	yes	complemented
704	#547	—	79	8	no	—
705	#547	—	79	8	no	—
706	#546	—	79	8	no	—
707	#546	—	79	8	no	—
708	#546	—	79	8	no	—
709	#546	—	79	8	no	—
710	#544	—	79	4	no	—
711	#544	—	79	8	no	—
712	#543	—	79	2	no	—
713	#543	—	79	1	no	—
714	#543	C₂×D₇₉	1	1	yes	characteristic
715	#542	—	79	8	no	—
716	#542	—	79	8	no	—
717	#541	—	79	8	no	—
718	#540	—	79	8	no	—
719	#539	—	79	8	no	—
720	#539	—	79	4	no	—
721	#539	C₂×D₇₉	1	4	yes	complemented
722	#538	—	79	4	no	—
723	#538	—	79	4	no	—
724	#538	—	79	8	no	—
725	#537	—	79	4	no	—
726	#536	—	79	4	no	—
727	#535	—	79	4	no	—
728	#534	—	79	2	no	—
729	#534	—	79	1	no	—
730	#534	C₂×D₇₉	1	1	yes	characteristic
731	#533	—	79	4	no	—
732	#533	—	79	4	no	—
733	#533	—	79	8	no	—
734	#533	—	79	4	no	—
735	#532	—	79	4	no	—
736	#532	—	79	4	no	—
737	#532	—	79	4	no	—
738	#529	—	79	8	no	—
739	#529	—	79	8	no	—
740	#529	—	79	8	no	—
741	#529	—	79	4	no	—
742	#529	—	79	8	no	—
743	#529	—	79	4	no	—
744	#529	—	79	8	no	—
745	#529	—	79	8	no	—
746	#529	—	79	8	no	—
747	#529	—	79	8	no	—
748	#529	—	79	4	no	—
749	#529	C₂×D₇₉	1	4	yes	complemented
750	#525	—	79	4	no	—
751	#525	—	79	4	no	—
752	#525	—	79	8	no	—
753	#525	—	79	4	no	—
754	#525	—	79	4	no	—
755	#525	—	79	8	no	—
756	#525	—	79	4	no	—
757	#525	—	79	4	no	—
758	#525	—	79	4	no	—
759	#525	—	79	4	no	—
760	#525	—	79	8	no	—
761	C₂×#123	—	79	2	no	—
762	C₂×#123	C₂×D₇₉	1	2	yes	—
763	C₂×C₂²⋊Q₈	—	79	4	no	—
764	C₂×#121	—	79	4	no	—
765	C₂×#120	—	79	2	no	—
766	C₂×#120	—	79	2	no	—
767	#520	—	79	8	no	—
768	#520	—	79	8	no	—
769	#519	—	79	4	no	—
770	#518	—	79	2	no	—
771	#518	—	79	2	no	—
772	#518	—	79	2	no	—
773	#518	—	79	4	no	—
774	#518	C₂×D₇₉	1	2	yes	—
775	C₄×#41	—	79	4	no	—
776	C₄×#41	—	79	8	no	—
777	C₄×#41	—	79	8	no	—
778	C₄×#41	—	79	4	no	—
779	C₄×#41	—	79	8	no	—
780	C₂×C₄×D₄	—	79	4	no	—
781	C₂×C₄×D₄	—	79	4	no	—
782	C₂×#117	—	79	1	no	—
783	C₂×#117	—	79	8	no	—
784	C₂×#117	—	79	8	no	—
785	C₂×#117	—	79	4	no	—
786	C₂×#117	—	79	2	no	—
787	C₂×#117	—	79	1	no	—
788	C₂×#117	—	79	1	no	—
789	C₂×#117	—	79	2	no	—
790	C₂×#117	—	79	4	no	—
791	C₂×#117	—	79	2	no	—
792	C₂×#117	C₂×D₇₉	1	1	yes	characteristic
793	C₂²×C₄⋊C₄	—	79	2	no	—
794	C₂²×C₂²⋊C₄	—	79	1	no	—
795	C₂²×C₂²⋊C₄	—	79	1	no	—
796	C₂²×C₄²	—	79	2	no	—
797	C₂⁵	—	79	1	no	—
798	C₂×#41	—	79	4	no	—
799	C₂×#41	—	79	4	no	—
800	C₂×#41	—	79	4	no	—
801	C₂×#41	—	79	4	no	—
802	C₂×#41	—	79	4	no	—
803	C₂×#41	—	79	4	no	—
804	C₂×#41	—	79	8	no	—
805	C₂×#41	—	158	16	no	—
806	C₂²×Q₈	—	79	2	no	—
807	C₂²×D₄	—	79	4	no	—
808	C₂²×D₄	—	79	2	no	—
809	C₂²×D₄	—	79	2	no	—
810	C₂²×D₄	—	79	4	no	—
811	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
812	C₂³×C₄	—	79	2	no	—
813	C₂³×C₄	—	79	2	no	—
814	C₂³×C₄	—	79	1	no	—
815	C₂³×C₄	—	79	2	no	—
816	C₂³×C₄	—	79	1	no	—
817	C₂³×C₄	—	79	4	no	—
818	C₂³×C₄	—	79	2	no	—
819	C₂³×C₄	—	79	4	no	—
820	C₂³×C₄	—	79	1	no	—
821	C₂³×C₄	—	79	1	no	—
822	C₂³×C₄	—	79	1	no	—
823	C₂³×C₄	—	158	8	no	—
824	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
825	C₄⋊Q₈	—	79	4	no	—
826	C₄⋊Q₈	—	79	8	no	—
827	C₄⋊Q₈	—	79	4	no	—
828	C₄⋊Q₈	—	79	4	no	—
829	C₄⋊Q₈	—	79	8	no	—
830	#127	—	79	4	no	—
831	#126	—	79	8	no	—
832	#126	—	79	8	no	—
833	#126	—	79	8	no	—
834	#126	—	79	8	no	—
835	#126	—	79	8	no	—
836	#126	—	79	8	no	—
837	#126	—	79	8	no	—
838	#126	—	79	8	no	—
839	#126	—	79	8	no	—
840	#126	—	79	8	no	—
841	#126	C₂²×D₇₉	1	8	yes	complemented
842	#126	C₂²×D₇₉	1	8	yes	complemented
843	#125	—	79	8	no	—
844	#125	—	79	8	no	—
845	#125	—	79	8	no	—
846	#125	—	79	8	no	—
847	#125	—	79	8	no	—
848	#125	—	79	8	no	—
849	#125	—	79	8	no	—
850	#125	—	79	4	no	—
851	#125	C₂²×D₇₉	1	4	yes	complemented
852	#125	C₂²×D₇₉	1	8	yes	complemented
853	#124	—	79	8	no	—
854	#124	—	79	8	no	—
855	#124	—	79	8	no	—
856	#124	—	79	8	no	—
857	#124	—	79	8	no	—
858	#124	—	79	4	no	—
859	#124	—	79	8	no	—
860	#124	C₂²×D₇₉	1	4	yes	complemented
861	#123	—	79	4	no	—
862	#123	—	79	4	no	—
863	#123	—	79	4	no	—
864	#123	—	79	8	no	—
865	#123	—	79	4	no	—
866	#123	—	79	8	no	—
867	#123	—	79	8	no	—
868	#123	—	79	8	no	—
869	#123	—	79	8	no	—
870	#123	—	79	8	no	—
871	#123	—	79	8	no	—
872	#123	—	79	8	no	—
873	#123	—	79	8	no	—
874	#123	—	79	4	no	—
875	#123	—	79	8	no	—
876	#123	—	79	8	no	—
877	#123	—	79	8	no	—
878	#123	C₂²×D₇₉	1	4	yes	—
879	#123	C₂²×D₇₉	1	4	yes	—
880	#123	C₂²×D₇₉	1	8	yes	—
881	#123	C₂²×D₇₉	1	4	yes	—
882	#123	C₂²×D₇₉	1	8	yes	complemented
883	C₂²⋊Q₈	—	79	4	no	—
884	C₂²⋊Q₈	—	79	4	no	—
885	C₂²⋊Q₈	—	79	8	no	—
886	C₂²⋊Q₈	—	79	8	no	—
887	C₂²⋊Q₈	—	79	8	no	—
888	C₂²⋊Q₈	—	79	8	no	—
889	C₂²⋊Q₈	—	79	8	no	—
890	C₂²⋊Q₈	—	79	8	no	—
891	C₂²⋊Q₈	—	79	4	no	—
892	C₂²⋊Q₈	—	79	8	no	—
893	C₂²⋊Q₈	—	79	8	no	—
894	C₂²⋊Q₈	—	79	8	no	—
895	C₂²⋊Q₈	—	79	8	no	—
896	C₂²⋊Q₈	—	79	8	no	—
897	C₂²⋊Q₈	—	79	8	no	—
898	C₂²⋊Q₈	—	79	8	no	—
899	C₂²⋊Q₈	—	79	8	no	—
900	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	—
901	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	—
902	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
903	#121	—	79	8	no	—
904	#121	—	79	4	no	—
905	#121	—	79	8	no	—
906	#121	—	79	8	no	—
907	#121	—	79	4	no	—
908	#121	—	79	8	no	—
909	#121	—	79	4	no	—
910	#121	—	79	8	no	—
911	#121	—	79	8	no	—
912	#121	—	79	8	no	—
913	#121	—	79	8	no	—
914	#121	—	79	8	no	—
915	#121	—	79	8	no	—
916	#121	—	79	8	no	—
917	#121	—	79	8	no	—
918	#121	C₂²×D₇₉	1	4	yes	—
919	#120	—	79	4	no	—
920	#120	—	79	4	no	—
921	#120	—	79	4	no	—
922	#120	—	79	8	no	—
923	#120	—	79	4	no	—
924	#120	—	79	4	no	—
925	#120	—	79	4	no	—
926	#120	—	79	8	no	—
927	#120	—	79	4	no	—
928	#120	C₂²×D₇₉	1	4	yes	—
929	C₄×Q₈	—	79	4	no	—
930	C₄×Q₈	—	79	8	no	—
931	C₄×Q₈	—	79	8	no	—
932	C₄×Q₈	—	79	4	no	—
933	C₄×Q₈	—	79	8	no	—
934	C₄×Q₈	—	79	8	no	—
935	C₄×Q₈	—	79	8	no	—
936	C₄×Q₈	—	79	8	no	—
937	C₄×Q₈	—	79	4	no	—
938	C₄×Q₈	C₂²×D₇₉	1	4	yes	complemented
939	C₄×D₄	—	79	8	no	—
940	C₄×D₄	—	79	8	no	—
941	C₄×D₄	—	79	4	no	—
942	C₄×D₄	—	79	8	no	—
943	C₄×D₄	—	79	8	no	—
944	C₄×D₄	—	79	8	no	—
945	C₄×D₄	—	79	8	no	—
946	C₄×D₄	—	79	8	no	—
947	C₄×D₄	—	79	8	no	—
948	C₄×D₄	—	79	8	no	—
949	C₄×D₄	—	79	8	no	—
950	C₄×D₄	—	79	8	no	—
951	C₄×D₄	—	79	4	no	—
952	C₄×D₄	—	79	8	no	—
953	C₄×D₄	—	79	8	no	—
954	C₄×D₄	—	79	8	no	—
955	C₄×D₄	—	79	8	no	—
956	C₄×D₄	—	79	8	no	—
957	C₄×D₄	—	79	8	no	—
958	C₄×D₄	—	79	8	no	—
959	C₄×D₄	—	79	8	no	—
960	C₄×D₄	—	79	8	no	—
961	C₄×D₄	—	79	8	no	—
962	C₄×D₄	—	79	8	no	—
963	C₄×D₄	—	79	8	no	—
964	C₄×D₄	—	79	8	no	—
965	C₄×D₄	—	79	4	no	—
966	C₄×D₄	C₂²×D₇₉	1	8	yes	—
967	C₄×D₄	C₂²×D₇₉	1	8	yes	—
968	C₄×D₄	C₂²×D₇₉	1	4	yes	complemented
969	#117	—	79	8	no	—
970	#117	—	79	4	no	—
971	#117	—	79	8	no	—
972	#117	—	79	8	no	—
973	#117	—	79	8	no	—
974	#117	—	79	4	no	—
975	#117	—	79	4	no	—
976	#117	—	79	8	no	—
977	#117	—	79	4	no	—
978	#117	—	79	4	no	—
979	#117	—	79	4	no	—
980	#117	—	79	4	no	—
981	#117	—	79	4	no	—
982	#117	—	79	4	no	—
983	#117	—	79	8	no	—
984	#117	—	79	4	no	—
985	#117	—	79	4	no	—
986	#117	—	79	4	no	—
987	#117	—	79	4	no	—
988	#117	—	79	8	no	—
989	#117	—	79	8	no	—
990	#117	—	79	8	no	—
991	#117	—	79	8	no	—
992	#117	—	79	8	no	—
993	#117	—	79	8	no	—
994	#117	—	79	8	no	—
995	#117	C₂²×D₇₉	1	8	yes	—
996	#117	C₂²×D₇₉	1	4	yes	—
997	#117	C₂²×D₇₉	1	8	yes	complemented
998	C₂×C₄⋊C₄	—	79	2	no	—
999	C₂×C₄⋊C₄	—	79	2	no	—
1000	C₂×C₄⋊C₄	—	79	2	no	—
1001	C₂×C₄⋊C₄	—	79	4	no	—
1002	C₂×C₄⋊C₄	—	79	8	no	—
1003	C₂×C₄⋊C₄	—	79	4	no	—
1004	C₂×C₄⋊C₄	—	79	8	no	—
1005	C₂×C₄⋊C₄	—	79	8	no	—
1006	C₂×C₄⋊C₄	—	79	8	no	—
1007	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1008	C₂×C₄⋊C₄	C₂²×D₇₉	1	4	yes	—
1009	C₂×C₂²⋊C₄	—	79	1	no	—
1010	C₂×C₂²⋊C₄	—	79	1	no	—
1011	C₂×C₂²⋊C₄	—	79	2	no	—
1012	C₂×C₂²⋊C₄	—	79	4	no	—
1013	C₂×C₂²⋊C₄	—	79	2	no	—
1014	C₂×C₂²⋊C₄	—	79	2	no	—
1015	C₂×C₂²⋊C₄	—	79	4	no	—
1016	C₂×C₂²⋊C₄	—	79	4	no	—
1017	C₂×C₂²⋊C₄	—	79	4	no	—
1018	C₂×C₂²⋊C₄	—	79	8	no	—
1019	C₂×C₂²⋊C₄	—	79	8	no	—
1020	C₂×C₂²⋊C₄	—	79	4	no	—
1021	C₂×C₂²⋊C₄	—	79	4	no	—
1022	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1025	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
1026	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
1027	C₂×C₄²	—	79	2	no	—
1028	C₂×C₄²	—	79	2	no	—
1029	C₂×C₄²	—	79	2	no	—
1030	C₂×C₄²	—	79	4	no	—
1031	C₂×C₄²	—	79	8	no	—
1032	C₂×C₄²	—	79	4	no	—
1033	C₂×C₄²	—	79	4	no	—
1034	C₂×C₄²	—	79	4	no	—
1035	C₂×C₄²	—	79	4	no	—
1036	C₂×C₄²	—	79	8	no	—
1037	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1038	C₂⁴	—	316	4	no	—
1039	C₂⁴	—	79	2	no	—
1040	C₂⁴	—	79	1	no	—
1041	C₂⁴	—	79	4	no	—
1042	C₂⁴	—	79	1	no	—
1043	C₂⁴	—	158	4	no	—
1044	C₂⁴	C₂³×D₇₉	1	2	yes	—
1045	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1046	#41	—	316	16	no	—
1047	#41	—	316	8	no	—
1048	#41	—	316	8	no	—
1049	#41	—	158	16	no	—
1050	#41	—	158	16	no	—
1051	#41	—	158	16	no	—
1052	#41	—	158	16	no	—
1053	C₂×Q₈	—	79	8	no	—
1054	C₂×Q₈	—	79	4	no	—
1055	C₂×Q₈	—	79	4	no	—
1056	C₂×Q₈	—	79	4	no	—
1057	C₂×Q₈	—	158	8	no	—
1058	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1059	C₂×D₄	—	2	8	no	—
1060	C₂×D₄	—	316	8	no	—
1061	C₂×D₄	—	316	8	no	—
1062	C₂×D₄	—	79	8	no	—
1063	C₂×D₄	—	79	8	no	—
1064	C₂×D₄	—	79	4	no	—
1065	C₂×D₄	—	79	8	no	—
1066	C₂×D₄	—	79	4	no	—
1067	C₂×D₄	—	79	4	no	—
1068	C₂×D₄	—	79	4	no	—
1069	C₂×D₄	—	79	8	no	—
1070	C₂×D₄	—	79	4	no	—
1071	C₂×D₄	—	79	8	no	—
1072	C₂×D₄	—	158	8	no	—
1073	C₂×D₄	—	158	8	no	—
1074	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1075	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1076	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1077	C₂²×C₄	—	2	4	no	—
1078	C₂²×C₄	—	316	4	no	—
1079	C₂²×C₄	—	316	4	no	—
1080	C₂²×C₄	—	79	2	no	—
1081	C₂²×C₄	—	79	2	no	—
1082	C₂²×C₄	—	79	4	no	—
1083	C₂²×C₄	—	79	8	no	—
1084	C₂²×C₄	—	79	4	no	—
1085	C₂²×C₄	—	79	4	no	—
1086	C₂²×C₄	—	79	8	no	—
1087	C₂²×C₄	—	79	8	no	—
1088	C₂²×C₄	—	79	8	no	—
1089	C₂²×C₄	—	79	1	no	—
1090	C₂²×C₄	—	79	2	no	—
1091	C₂²×C₄	—	79	1	no	—
1092	C₂²×C₄	—	79	2	no	—
1093	C₂²×C₄	—	79	4	no	—
1094	C₂²×C₄	—	79	2	no	—
1095	C₂²×C₄	—	79	4	no	—
1096	C₂²×C₄	—	79	2	no	—
1097	C₂²×C₄	—	79	2	no	—
1098	C₂²×C₄	—	79	4	no	—
1099	C₂²×C₄	—	79	4	no	—
1100	C₂²×C₄	—	79	4	no	—
1101	C₂²×C₄	—	79	4	no	—
1102	C₂²×C₄	—	79	4	no	—
1103	C₂²×C₄	—	79	2	no	—
1104	C₂²×C₄	—	79	4	no	—
1105	C₂²×C₄	—	79	2	no	—
1106	C₂²×C₄	—	158	16	no	—
1107	C₂²×C₄	—	158	16	no	—
1108	C₂²×C₄	—	158	4	no	—
1109	C₂²×C₄	—	158	4	no	—
1110	C₂²×C₄	—	158	4	no	—
1111	C₂²×C₄	—	158	4	no	—
1112	C₂²×C₄	—	158	8	no	—
1113	C₂²×C₄	—	158	8	no	—
1114	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1116	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1117	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1119	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1120	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1121	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1122	C₄⋊C₄	—	79	8	no	—
1123	C₄⋊C₄	—	79	8	no	—
1124	C₄⋊C₄	—	79	8	no	—
1125	C₄⋊C₄	—	79	8	no	—
1126	C₄⋊C₄	—	79	8	no	—
1127	C₄⋊C₄	—	79	8	no	—
1128	C₄⋊C₄	—	79	8	no	—
1129	C₄⋊C₄	—	79	8	no	—
1130	C₄⋊C₄	—	79	8	no	—
1131	C₄⋊C₄	—	79	8	no	—
1132	C₄⋊C₄	—	79	8	no	—
1133	C₄⋊C₄	—	79	8	no	—
1134	C₄⋊C₄	—	79	8	no	—
1135	C₄⋊C₄	—	79	8	no	—
1136	C₄⋊C₄	—	79	8	no	—
1137	C₄⋊C₄	—	79	4	no	—
1138	C₄⋊C₄	—	79	4	no	—
1139	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1140	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1141	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1142	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1143	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1144	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1145	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1146	C₂²⋊C₄	—	79	4	no	—
1147	C₂²⋊C₄	—	79	4	no	—
1148	C₂²⋊C₄	—	79	4	no	—
1149	C₂²⋊C₄	—	79	4	no	—
1150	C₂²⋊C₄	—	79	8	no	—
1151	C₂²⋊C₄	—	79	8	no	—
1152	C₂²⋊C₄	—	79	8	no	—
1153	C₂²⋊C₄	—	79	8	no	—
1154	C₂²⋊C₄	—	79	8	no	—
1155	C₂²⋊C₄	—	79	8	no	—
1156	C₂²⋊C₄	—	79	8	no	—
1157	C₂²⋊C₄	—	79	8	no	—
1158	C₂²⋊C₄	—	79	8	no	—
1159	C₂²⋊C₄	—	79	8	no	—
1160	C₂²⋊C₄	—	79	8	no	—
1161	C₂²⋊C₄	—	79	8	no	—
1162	C₂²⋊C₄	—	79	8	no	—
1163	C₂²⋊C₄	—	79	8	no	—
1164	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1165	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1166	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1167	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1168	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1169	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1170	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1171	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1172	C₄²	—	79	4	no	—
1173	C₄²	—	79	4	no	—
1174	C₄²	—	79	8	no	—
1175	C₄²	—	79	4	no	—
1176	C₄²	—	79	4	no	—
1177	C₄²	—	79	4	no	—
1178	C₄²	—	79	4	no	—
1179	C₄²	—	79	8	no	—
1180	C₄²	—	79	8	no	—
1181	C₄²	—	79	8	no	—
1182	C₄²	—	79	8	no	—
1183	C₄²	C₂³×D₇₉	1	4	yes	—
1184	C₄²	C₂³×D₇₉	1	4	yes	—
1185	C₄²	C₂³×D₇₉	1	8	yes	—
1186	C₂³	—	2	4	no	—
1187	C₂³	—	4	2	no	—
1188	C₂³	—	4	4	no	—
1189	C₂³	—	316	2	no	—
1190	C₂³	—	316	4	no	—
1191	C₂³	—	316	4	no	—
1192	C₂³	—	316	16	no	—
1193	C₂³	—	79	2	no	—
1194	C₂³	—	79	2	no	—
1195	C₂³	—	79	4	no	—
1196	C₂³	—	158	8	no	—
1197	C₂³	—	158	4	no	—
1198	C₂³	—	158	2	no	—
1199	C₂³	—	158	8	no	—
1200	C₂³	—	158	4	no	—
1201	C₂³	—	158	2	no	—
1202	C₂³	#41×D₇₉	1	4	yes	—
1203	C₂³	C₂⁴×D₇₉	1	4	yes	—
1204	C₂³	C₂⁴×D₇₉	1	2	yes	—
1205	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1206	Q₈	—	4	4	no	—
1207	Q₈	—	316	8	no	—
1208	Q₈	—	316	4	no	—
1209	Q₈	—	158	8	no	—
1210	Q₈	—	158	8	no	—
1211	D₄	—	2	8	no	—
1212	D₄	—	2	8	no	—
1213	D₄	—	4	4	no	—
1214	D₄	—	316	8	no	—
1215	D₄	—	316	4	no	—
1216	D₄	—	316	8	no	—
1217	D₄	—	316	8	no	—
1218	D₄	—	158	16	no	—
1219	D₄	—	158	8	no	—
1220	D₄	—	158	8	no	—
1221	D₄	—	158	16	no	—
1222	D₄	—	158	8	no	—
1223	D₄	—	158	8	no	—
1224	C₂×C₄	—	2	8	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	2	no	—
1227	C₂×C₄	—	2	4	no	—
1228	C₂×C₄	—	4	2	no	—
1229	C₂×C₄	—	4	2	no	—
1230	C₂×C₄	—	4	4	no	—
1231	C₂×C₄	—	4	8	no	—
1232	C₂×C₄	—	316	4	no	—
1233	C₂×C₄	—	316	4	no	—
1234	C₂×C₄	—	316	8	no	—
1235	C₂×C₄	—	316	8	no	—
1236	C₂×C₄	—	316	2	no	—
1237	C₂×C₄	—	316	2	no	—
1238	C₂×C₄	—	316	4	no	—
1239	C₂×C₄	—	316	8	no	—
1240	C₂×C₄	—	79	1	no	—
1241	C₂×C₄	—	79	1	no	—
1242	C₂×C₄	—	79	2	no	—
1243	C₂×C₄	—	79	8	no	—
1244	C₂×C₄	—	79	8	no	—
1245	C₂×C₄	—	79	4	no	—
1246	C₂×C₄	—	79	4	no	—
1247	C₂×C₄	—	79	4	no	—
1248	C₂×C₄	—	79	4	no	—
1249	C₂×C₄	—	79	8	no	—
1250	C₂×C₄	—	79	4	no	—
1251	C₂×C₄	—	158	4	no	—
1252	C₂×C₄	—	158	4	no	—
1253	C₂×C₄	—	158	8	no	—
1254	C₂×C₄	—	158	8	no	—
1255	C₂×C₄	—	158	4	no	—
1256	C₂×C₄	—	158	4	no	—
1257	C₂×C₄	—	158	8	no	—
1258	C₂×C₄	—	158	8	no	—
1259	C₂×C₄	—	158	8	no	—
1260	C₂×C₄	—	158	8	no	—
1261	C₂×C₄	—	158	8	no	—
1262	C₂×C₄	—	158	8	no	—
1263	C₂×C₄	—	158	4	no	—
1264	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1265	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1266	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1267	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1268	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1269	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1270	C₂²	—	2	2	no	—
1271	C₂²	—	2	4	no	—
1272	C₂²	—	2	4	no	—
1273	C₂²	—	2	8	no	—
1274	C₂²	—	4	4	no	—
1275	C₂²	—	8	4	no	—
1276	C₂²	—	316	4	no	—
1277	C₂²	—	316	16	no	—
1278	C₂²	—	79	4	no	—
1279	C₂²	—	632	4	no	—
1280	C₂²	—	158	8	no	—
1281	C₂²	—	158	2	no	—
1282	C₂²	—	158	4	no	—
1283	C₂²	—	158	8	no	—
1284	C₂²	—	158	4	no	—
1285	C₂²	—	158	2	no	—
1286	C₂²	—	158	2	no	—
1287	C₂²	C₂×#41×D₇₉	1	4	yes	—
1288	C₂²	C₂×#41×D₇₉	1	2	yes	—
1289	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1290	C₄	—	2	2	no	—
1291	C₄	—	2	2	no	—
1292	C₄	—	2	4	no	—
1293	C₄	—	2	4	no	—
1294	C₄	—	2	8	no	—
1295	C₄	—	2	4	no	—
1296	C₄	—	79	2	no	—
1297	C₄	—	79	4	no	—
1298	C₄	—	79	2	no	—
1299	C₄	—	158	4	no	—
1300	C₄	—	158	4	no	—
1301	C₄	—	158	8	no	—
1302	C₄	—	158	4	no	—
1303	C₂	—	2	4	no	—
1304	C₂	—	2	2	no	—
1305	C₂	—	4	4	no	—
1306	C₂	—	316	2	no	—
1307	C₂	—	316	4	no	—
1308	C₂	—	158	4	no	—
1309	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1310	C₂	#585×D₇₉	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3491	C₂
hypercenter	#3491	D₇₉
hypocenter	C₇₉	#62814
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3491

Complements

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

N	H ≅ G/N	type
1. #23777143	C₂	semidirect
2. #23777126	C₂	semidirect
3. #23777112	C₂	semidirect
4. #23777105	C₂	semidirect
5. #23777098	C₂	semidirect
6. #23777096	C₂	semidirect
7. #23777090	C₂	semidirect
8. #23777088	C₂	semidirect
9. #23777085	C₂	semidirect
10. #23776965	C₂	semidirect
11. #23776955	C₂	semidirect
12. #23776802	C₂	semidirect
13. #23776786	C₂	semidirect
14. #23776726	C₂	semidirect
15. #23776694	C₂	semidirect
16. C₂×#19099071	C₂	semidirect
17. #23776598	C₂	semidirect
18. C₂×#117×D₇₉	C₂	semidirect
19. C₇₉×#3491	C₂	semidirect
22. #19099285	C₂²	semidirect
23. #19099280	C₂²	semidirect
24. #19099276	C₂²	semidirect
25. #19099275	C₂²	semidirect
26. #19099269	C₂²	semidirect
27. #19099267	C₂²	semidirect
28. #19099264	C₂²	semidirect
29. #19099264	C₂²	semidirect
30. #19099262	C₂²	semidirect
31. #19099258	C₂²	semidirect
32. #19099250	C₂²	semidirect
33. #19099249	C₂²	semidirect
34. #19099248	C₂²	semidirect
35. #19099246	C₂²	semidirect
36. #19099246	C₂²	semidirect
37. #19099245	C₂²	semidirect
38. #19099245	C₂²	semidirect
39. #19099242	C₂²	semidirect
40. #19099240	C₂²	semidirect
41. #19099239	C₂²	semidirect
42. #19099237	C₂²	semidirect
43. #19099237	C₂²	semidirect
44. #19099236	C₂²	semidirect
45. #19099236	C₂²	semidirect
46. #19099215	C₂²	semidirect
47. #19099211	C₂²	semidirect
48. #19099209	C₂²	semidirect
49. #19099204	C₂²	semidirect
50. #19099203	C₂²	semidirect
51. #19099200	C₂²	semidirect
52. #19099192	C₂²	semidirect
53. #19099192	C₂²	semidirect
56. #19099183	C₂²	semidirect
57. #19099179	C₂²	semidirect
58. #19099172	C₂²	semidirect
59. #19099165	C₂²	semidirect
60. #19099160	C₂²	semidirect
61. #19099157	C₂²	semidirect
62. #19099153	C₂²	semidirect
63. #19099150	C₂²	semidirect
64. #19099146	C₂²	semidirect
65. #19099140	C₂²	semidirect
66. #19099135	C₂²	semidirect
67. #19099128	C₂²	semidirect
70. #19099119	C₂²	semidirect
71. #19099117	C₂²	semidirect
72. #19099115	C₂²	semidirect
73. #19099115	C₂²	semidirect
74. #19099112	C₂²	semidirect
75. #19099110	C₂²	semidirect
76. #19099108	C₂²	semidirect
77. #19099099	C₂²	semidirect
78. #19099098	C₂²	semidirect
79. #19099098	C₂²	semidirect
80. #19099097	C₂²	semidirect
81. #19099096	C₂²	semidirect
82. #19099096	C₂²	semidirect
83. #19099096	C₂²	semidirect
84. #19099092	C₂²	semidirect
85. #19099091	C₂²	semidirect
86. #19099090	C₂²	semidirect
87. #19099090	C₂²	semidirect
88. #19099076	C₂²	semidirect
89. #19099073	C₂²	semidirect
90. #19099072	C₂²	semidirect
93. #19099071	C₂²	semidirect
94. #19099071	C₂²	semidirect
95. #19099071	C₂²	semidirect
96. #19099071	C₂²	semidirect
97. #19099071	C₂²	semidirect
98. #19099069	C₂²	semidirect
100. C₂×#14579139	C₂²	semidirect
101. C₂×#14579134	C₂²	semidirect
104. #19099042	C₂²	semidirect
105. #19099042	C₂²	semidirect
106. #19099040	C₂²	semidirect
110. #19099036	C₂²	semidirect
111. C₄×#11929625	C₂²	semidirect
112. #19099031	C₂²	semidirect
113. C₄×#11929623	C₂²	semidirect
114. C₄×#11929623	C₂²	semidirect
115. C₄×#11929623	C₂²	semidirect
116. C₂×#14579123	C₂²	semidirect
117. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
119. C₂×#14579119	C₂²	semidirect
120. C₂×#14579118	C₂²	semidirect
124. C₂×#14579117	C₂²	semidirect
125. #117×D₇₉	C₂²	semidirect
126. #117×D₇₉	C₂²	semidirect
127. #117×D₇₉	C₂²	semidirect
128. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
131. C₂×C₄²×D₇₉	C₂²	semidirect
132. #552×C₇₉	C₂²	semidirect
133. #551×C₇₉	C₂²	semidirect
135. #539×C₇₉	C₂²	semidirect
137. #529×C₇₉	C₂²	semidirect
167. #14579160	C₂³	semidirect
168. #14579160	C₂³	semidirect
169. #14579160	C₂³	semidirect
170. #14579159	C₂³	semidirect
171. #14579159	C₂³	semidirect
172. #14579157	C₂³	semidirect
176. #14579156	C₂³	semidirect
177. #14579156	C₂³	semidirect
178. #14579156	C₂³	semidirect
180. #14579155	C₂³	semidirect
181. #14579154	C₂³	semidirect
182. #14579154	C₂³	semidirect
183. #14579153	C₂³	semidirect
184. #14579152	C₂³	semidirect
185. #14579151	C₂³	semidirect
186. #14579151	C₂³	semidirect
187. #14579151	C₂³	semidirect
188. #14579151	C₂³	semidirect
189. #14579151	C₂³	semidirect
190. #14579151	C₂³	semidirect
193. #14579149	C₂³	semidirect
196. #14579147	C₂³	semidirect
197. #14579147	C₂³	semidirect
202. #14579146	C₂³	semidirect
205. #14579145	C₂³	semidirect
213. #14579143	C₂³	semidirect
216. #14579141	C₂³	semidirect
224. #14579139	C₂³	semidirect
225. #14579139	C₂³	semidirect
229. #14579138	C₂³	semidirect
230. #14579138	C₂³	semidirect
242. #14579134	C₂³	semidirect
245. #14579133	C₂³	semidirect
256. Q₈×Dic₇₉	C₂³	semidirect
257. C₄×Dic₁₅₈	C₂³	semidirect
258. C₄×Dic₁₅₈	C₂³	semidirect
259. C₄×Dic₁₅₈	C₂³	semidirect
260. #14579126	C₂³	semidirect
261. #14579126	C₂³	semidirect
262. #14579126	C₂³	semidirect
263. #14579126	C₂³	semidirect
264. #14579126	C₂³	semidirect
266. C₄×D₃₁₆	C₂³	semidirect
269. D₄×Dic₇₉	C₂³	semidirect
275. #14579123	C₂³	semidirect
279. C₄×C₂²⋊D₇₉	C₂³	semidirect
280. C₄×C₂²⋊D₇₉	C₂³	semidirect
288. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
289. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
290. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
291. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
298. #14579119	C₂³	semidirect
299. #14579119	C₂³	semidirect
303. #14579118	C₂³	semidirect
304. #14579118	C₂³	semidirect
315. #14579117	C₂³	semidirect
316. #14579117	C₂³	semidirect
317. #14579117	C₂³	semidirect
323. C₂×Dic₇₉⋊C₄	C₂³	semidirect
326. C₄⋊C₄×D₇₉	C₂³	semidirect
344. C₂×C₄×Dic₇₉	C₂³	semidirect
349. C₄²×D₇₉	C₂³	semidirect
352. #126×C₇₉	C₂³	semidirect
353. #126×C₇₉	C₂³	semidirect
354. #125×C₇₉	C₂³	semidirect
355. #125×C₇₉	C₂³	semidirect
356. #124×C₇₉	C₂³	semidirect
361. #123×C₇₉	C₂³	semidirect
364. C₂²⋊Q₈×C₇₉	C₂³	semidirect
367. C₄×Q₈×C₇₉	C₂³	semidirect
370. C₄×D₄×C₇₉	C₂³	semidirect
373. #117×C₇₉	C₂³	semidirect
415. C₂²×Dic₇₉	#41	semidirect
662. #3491	D₇₉	semidirect
675. C₇₉	#62814	semidirect
695. #552	C₂×D₇₉	semidirect
703. #551	C₂×D₇₉	semidirect
721. #539	C₂×D₇₉	semidirect
749. #529	C₂×D₇₉	semidirect
841. #126	C₂²×D₇₉	semidirect
842. #126	C₂²×D₇₉	semidirect
851. #125	C₂²×D₇₉	semidirect
852. #125	C₂²×D₇₉	semidirect
860. #124	C₂²×D₇₉	semidirect
882. #123	C₂²×D₇₉	semidirect
902. C₂²⋊Q₈	C₂²×D₇₉	semidirect
938. C₄×Q₈	C₂²×D₇₉	semidirect
968. C₄×D₄	C₂²×D₇₉	semidirect
997. #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
#23777143	2
#23777126	2
#23777112	2
#23777105	2
#23777098	2
#23777096	2
#23777090	2
#23777088	2
#23777085	2
#23776965	2
#23776955	2
#23776802	2
#23776786	2
#23776726	2
#23776694	2
C₂×#19099071	2
#23776598	2
C₂×#117×D₇₉	2
C₇₉×#3491	2
#62814	79