Subgroups — #35167058

Order 20224.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1288 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099253	C₂	1	1	yes	maximal, characteristic, complemented
2	#23775969	C₂	1	2	yes	maximal, complemented
3	#23775954	C₂	1	2	yes	maximal, complemented
4	#23775924	C₂	1	2	yes	maximal, complemented
5	#23775915	C₂	1	2	yes	maximal, complemented
6	#23775849	C₂	1	2	yes	maximal, complemented
7	#23775834	C₂	1	2	yes	maximal, complemented
8	#23775773	C₂	1	2	yes	maximal, complemented
9	#23775762	C₂	1	2	yes	maximal, complemented
10	#23773953	C₂	1	1	yes	maximal, characteristic, complemented
11	#23773348	C₂	1	1	yes	maximal, characteristic, complemented
12	#23773348	C₂	1	1	yes	maximal, characteristic, complemented
13	#23773329	C₂	1	1	yes	maximal, characteristic, complemented
14	#23773320	C₂	1	1	yes	maximal, characteristic, complemented
15	#23773222	C₂	1	1	yes	maximal, characteristic, complemented
16	#23773201	C₂	1	1	yes	maximal, characteristic, complemented
17	#23773032	C₂	1	1	yes	maximal, characteristic, complemented
18	#23773032	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#14579191	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×#11929608	C₂	1	1	yes	maximal, characteristic, complemented
21	#23771989	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19098606	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₉×#3475	C₂	1	1	yes	maximal, characteristic
24	C₂×#14579191	C₂²	1	1	yes	characteristic
25	C₂²×#11929608	C₂²	1	1	yes	characteristic
26	C₂²×#11929608	C₂²	1	1	yes	characteristic
27	#19099253	—	2	1	no	—
28	#19099253	—	2	1	no	—
29	#19099253	—	2	1	no	—
30	#19099253	—	2	1	no	—
31	#19099253	C₂²	1	2	yes	—
32	#19099253	C₂²	1	2	yes	—
33	#19099253	C₂²	1	2	yes	—
34	#19099253	C₂²	1	2	yes	—
35	C₂×#14579154	—	2	1	no	—
36	C₂×#14579153	C₂²	1	1	yes	characteristic
37	C₂×#14579151	—	2	1	no	—
38	C₂×#14579142	—	2	1	no	—
39	C₂×#14579140	C₂²	1	1	yes	characteristic
40	C₂×#14579140	C₂²	1	1	yes	characteristic
41	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
42	C₂×#14579120	C₂²	1	1	yes	characteristic
43	C₂×#14579117	—	2	1	no	—
44	C₂²×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
45	#19098969	C₂²	1	2	yes	complemented
46	#19098969	C₂²	1	2	yes	complemented
47	#19098962	C₂²	1	2	yes	complemented
48	#19098962	C₂²	1	2	yes	complemented
49	#19098904	C₂²	1	2	yes	complemented
50	#19098904	C₂²	1	2	yes	complemented
51	#19098904	C₂²	1	2	yes	complemented
52	#19098904	C₂²	1	2	yes	complemented
53	#19098901	C₂²	1	2	yes	complemented
54	#19098901	C₂²	1	2	yes	complemented
55	#19098898	C₂²	1	2	yes	complemented
56	#19098898	C₂²	1	2	yes	complemented
57	#19098896	C₂²	1	2	yes	complemented
58	#19098893	C₂²	1	2	yes	complemented
59	#19098893	C₂²	1	2	yes	complemented
60	#19098891	C₂²	1	2	yes	complemented
61	#19098884	C₂²	1	2	yes	complemented
62	#19098884	C₂²	1	2	yes	complemented
63	#19098879	C₂²	1	2	yes	complemented
64	#19098874	C₂²	1	2	yes	complemented
65	#19098870	C₂²	1	2	yes	complemented
66	#19098870	C₂²	1	2	yes	complemented
67	#19098867	C₂²	1	2	yes	complemented
68	#19098867	C₂²	1	2	yes	complemented
69	#19098863	C₂²	1	2	yes	complemented
70	#19098863	C₂²	1	2	yes	complemented
71	#19098855	C₂²	1	2	yes	complemented
72	#19098845	C₂²	1	2	yes	complemented
73	#19098819	C₂²	1	2	yes	complemented
74	#19098819	C₂²	1	2	yes	complemented
75	#19098807	C₂²	1	2	yes	complemented
76	#19098807	C₂²	1	2	yes	complemented
77	#19098802	C₂²	1	2	yes	complemented
78	#19098802	C₂²	1	2	yes	complemented
79	#19098790	C₂²	1	2	yes	complemented
80	#19098790	C₂²	1	2	yes	complemented
81	#19098668	C₂²	1	2	yes	complemented
82	#19098663	C₂²	1	2	yes	complemented
83	C₄×#11929614	C₂²	1	2	yes	complemented
84	C₄×#11929612	C₂²	1	2	yes	complemented
85	#19098641	C₂²	1	2	yes	—
86	#19098635	C₂²	1	2	yes	—
87	#19098635	C₂²	1	2	yes	—
88	D₄×C₇₉⋊C₈	C₂²	1	2	yes	—
89	#19098606	C₂²	1	1	yes	characteristic
90	#19098606	C₂²	1	1	yes	characteristic
91	#19098606	C₂²	1	1	yes	characteristic
92	#19098606	C₂²	1	1	yes	characteristic
93	#19098606	C₂²	1	1	yes	characteristic
94	#19098606	C₂²	1	1	yes	characteristic
95	#19098606	C₂²	1	1	yes	characteristic
96	#19098606	C₂²	1	1	yes	characteristic
97	#19098606	C₂²	1	1	yes	characteristic
98	#19098606	C₂²	1	2	yes	complemented
99	#19098606	C₂²	1	2	yes	complemented
100	#19098603	C₂²	1	2	yes	complemented
101	#19098603	C₂²	1	2	yes	complemented
102	#19098599	C₂²	1	2	yes	complemented
103	#19098599	C₂²	1	2	yes	complemented
104	C₂×#14579094	C₂²	1	2	yes	complemented
105	C₂×#14579092	C₂²	1	2	yes	complemented
106	#19098587	C₂²	1	1	yes	characteristic
107	#19098571	C₂²	1	1	yes	characteristic
108	#19098571	C₂²	1	1	yes	characteristic
109	#19098571	C₂²	1	1	yes	characteristic
110	#19098564	C₂²	1	1	yes	characteristic
111	#19098564	C₂²	1	1	yes	characteristic
112	#19098564	C₂²	1	1	yes	characteristic
113	#19098527	C₂²	1	1	yes	characteristic
114	#19098527	C₂²	1	1	yes	characteristic
115	C₄×#11929608	C₂²	1	1	yes	characteristic
116	#556×C₇₉	C₂²	1	1	yes	characteristic
117	#555×C₇₉	C₂²	1	1	yes	characteristic
118	#554×C₇₉	C₂²	1	1	yes	characteristic
119	#553×C₇₉	C₂²	1	1	yes	characteristic
120	#553×C₇₉	C₂²	1	1	yes	characteristic
121	#552×C₇₉	—	2	1	no	—
122	#552×C₇₉	C₂²	1	1	yes	characteristic
123	#552×C₇₉	C₂²	1	1	yes	characteristic
124	#551×C₇₉	—	2	1	no	—
125	#551×C₇₉	—	2	1	no	—
126	#547×C₇₉	C₂²	1	1	yes	characteristic
127	#546×C₇₉	—	2	1	no	—
128	#533×C₇₉	C₂²	1	1	yes	characteristic
129	#529×C₇₉	—	2	1	no	—
130	#529×C₇₉	—	2	1	no	—
131	#529×C₇₉	—	2	1	no	—
132	#525×C₇₉	C₂²	1	1	yes	characteristic
133	#525×C₇₉	C₂²	1	1	yes	characteristic
134	C₄×#41×C₇₉	—	2	1	no	—
135	C₄×#41×C₇₉	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
137	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic
138	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic
139	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
140	C₂³×Dic₇₉	—	2	1	no	—
141	#14579191	—	2	4	no	—
142	C₂×#11929614	C₂³	1	2	yes	—
143	C₂×#11929612	C₂³	1	2	yes	—
144	C₂×#11929608	—	2	4	no	—
145	C₂×#11929608	—	2	4	no	—
146	C₂×#11929608	C₂³	1	2	yes	—
147	C₂×#11929608	C₂³	1	2	yes	—
148	C₂×#11929608	C₂³	1	1	yes	characteristic
149	C₂×#11929608	C₂³	1	1	yes	characteristic
150	C₂×#11929608	C₂³	1	1	yes	characteristic
151	C₂×#11929608	C₂³	1	1	yes	characteristic
152	C₂²×C₇₉⋊C₈	C₂³	1	2	yes	—
153	C₂²×C₇₉⋊C₈	C₂³	1	2	yes	—
154	#14579154	—	2	2	no	—
155	#14579154	—	2	2	no	—
156	#14579154	—	2	2	no	—
157	#14579154	—	2	2	no	—
158	#14579153	—	2	1	no	—
159	#14579153	—	2	1	no	—
160	#14579153	C₂³	1	2	yes	—
161	#14579153	C₂³	1	2	yes	—
162	#14579151	—	2	2	no	—
163	#14579151	—	2	2	no	—
164	#14579151	—	2	2	no	—
165	#14579151	—	2	2	no	—
166	#14579142	—	2	2	no	—
167	#14579142	—	2	2	no	—
168	#14579142	—	2	2	no	—
169	#14579142	—	2	2	no	—
170	#14579140	—	2	1	no	—
171	#14579140	—	2	1	no	—
172	#14579140	—	2	1	no	—
173	#14579140	—	2	1	no	—
174	#14579140	C₂³	1	2	yes	—
175	#14579140	C₂³	1	2	yes	—
176	#14579140	C₂³	1	2	yes	—
177	#14579140	C₂³	1	2	yes	—
178	C₄×Dic₁₅₈	—	2	1	no	—
179	C₄×Dic₁₅₈	—	2	1	no	—
180	C₄×Dic₁₅₈	C₂³	1	2	yes	—
181	C₄×Dic₁₅₈	C₂³	1	2	yes	—
182	#14579120	—	2	1	no	—
183	#14579120	—	2	1	no	—
184	#14579120	C₂³	1	2	yes	—
185	#14579120	C₂³	1	2	yes	—
186	#14579117	—	2	2	no	—
187	#14579117	—	2	2	no	—
188	#14579117	—	2	2	no	—
189	#14579117	—	2	2	no	—
190	C₂×C₄⋊Dic₇₉	—	2	1	no	—
191	C₂×C₄⋊Dic₇₉	—	2	1	no	—
192	C₂×C₄⋊Dic₇₉	—	2	1	no	—
193	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
194	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
195	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
198	C₂×Dic₇₉⋊C₄	—	2	1	no	—
199	C₂×Dic₇₉⋊C₄	—	2	1	no	—
200	C₂×Dic₇₉⋊C₄	—	2	1	no	—
201	C₂×Dic₇₉⋊C₄	—	2	1	no	—
202	C₂×Dic₇₉⋊C₄	—	2	1	no	—
203	C₂×C₂²⋊Dic₇₉	—	2	1	no	—
204	C₂×C₂²⋊Dic₇₉	—	2	1	no	—
205	C₂×C₂²⋊Dic₇₉	—	2	1	no	—
206	C₂×C₄×Dic₇₉	—	2	1	no	—
207	C₂×C₄×Dic₇₉	—	2	1	no	—
208	#14579094	C₂³	1	2	yes	—
209	#14579094	C₂³	1	2	yes	—
210	#14579094	C₂³	1	2	yes	—
211	#14579094	C₂³	1	2	yes	—
212	#14579094	C₂³	1	2	yes	—
213	#14579094	C₂³	1	2	yes	—
214	#14579094	C₂³	1	2	yes	—
215	#14579094	C₂³	1	2	yes	—
216	#14579094	C₂³	1	2	yes	—
217	#14579092	C₂³	1	2	yes	—
218	#14579092	C₂³	1	2	yes	—
219	#14579092	C₂³	1	2	yes	—
220	#14579092	C₂³	1	2	yes	—
221	#14579092	C₂³	1	2	yes	—
222	#14579092	C₂³	1	2	yes	—
223	#14579092	C₂³	1	2	yes	—
224	#14579092	C₂³	1	2	yes	—
225	#14579092	C₂³	1	2	yes	—
226	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
227	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
228	#14579085	C₂³	1	2	yes	—
229	#14579085	C₂³	1	2	yes	—
230	#14579085	C₂³	1	2	yes	—
231	#14579084	C₂³	1	2	yes	—
232	#14579084	C₂³	1	2	yes	—
233	#14579084	C₂³	1	2	yes	—
234	#14579084	C₂³	1	2	yes	—
235	#14579084	C₂³	1	2	yes	—
236	#14579084	C₂³	1	2	yes	—
237	#14579082	C₂³	1	2	yes	—
238	#14579082	C₂³	1	2	yes	—
239	#14579082	C₂³	1	2	yes	—
240	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
241	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
242	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
243	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
244	#14579072	C₂³	1	2	yes	—
245	C₄×C₇₉⋊C₈	C₂³	1	2	yes	—
246	C₂×#41×C₇₉	—	2	1	no	—
247	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
248	C₂²×D₄×C₇₉	D₄	1	1	yes	characteristic
249	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
250	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
251	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
252	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
253	#126×C₇₉	—	2	1	no	—
254	#126×C₇₉	—	2	1	no	—
255	#126×C₇₉	—	2	1	no	—
256	#126×C₇₉	—	2	1	no	—
257	#126×C₇₉	—	2	1	no	—
258	#126×C₇₉	—	2	1	no	—
259	#125×C₇₉	—	2	1	no	—
260	#125×C₇₉	—	2	1	no	—
261	#125×C₇₉	—	2	1	no	—
262	#125×C₇₉	C₂³	1	1	yes	characteristic
263	#125×C₇₉	C₂³	1	1	yes	characteristic
264	#124×C₇₉	—	2	1	no	—
265	#124×C₇₉	—	2	1	no	—
266	#124×C₇₉	—	2	1	no	—
267	#123×C₇₉	—	2	1	no	—
268	#123×C₇₉	—	2	1	no	—
269	#123×C₇₉	—	2	1	no	—
270	#123×C₇₉	—	2	1	no	—
271	#123×C₇₉	—	2	1	no	—
272	#123×C₇₉	—	2	1	no	—
273	#123×C₇₉	—	2	1	no	—
274	#123×C₇₉	—	2	1	no	—
275	C₂²⋊Q₈×C₇₉	—	2	1	no	—
276	C₂²⋊Q₈×C₇₉	—	2	1	no	—
277	C₂²⋊Q₈×C₇₉	—	2	1	no	—
278	C₂²⋊Q₈×C₇₉	—	2	1	no	—
279	C₂²⋊Q₈×C₇₉	—	2	1	no	—
280	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
281	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
282	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
283	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
284	#121×C₇₉	—	2	1	no	—
285	#121×C₇₉	—	2	1	no	—
286	#121×C₇₉	—	2	1	no	—
287	#121×C₇₉	C₂³	1	1	yes	characteristic
288	#121×C₇₉	C₂³	1	1	yes	characteristic
289	#121×C₇₉	C₂³	1	1	yes	characteristic
290	#121×C₇₉	C₂³	1	1	yes	characteristic
291	#120×C₇₉	—	2	1	no	—
292	#120×C₇₉	—	2	1	no	—
293	C₄×Q₈×C₇₉	—	2	1	no	—
294	C₄×Q₈×C₇₉	—	2	1	no	—
295	C₄×Q₈×C₇₉	—	2	1	no	—
296	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
297	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
298	C₄×D₄×C₇₉	—	2	1	no	—
299	C₄×D₄×C₇₉	—	2	1	no	—
300	C₄×D₄×C₇₉	—	2	1	no	—
301	C₄×D₄×C₇₉	—	2	1	no	—
302	C₄×D₄×C₇₉	—	2	1	no	—
303	C₄×D₄×C₇₉	—	2	1	no	—
304	C₄×D₄×C₇₉	—	2	1	no	—
305	C₄×D₄×C₇₉	—	2	1	no	—
306	C₄×D₄×C₇₉	—	2	1	no	—
307	C₄×D₄×C₇₉	D₄	1	1	yes	characteristic
308	C₄×D₄×C₇₉	D₄	1	1	yes	characteristic
309	C₄×D₄×C₇₉	D₄	1	1	yes	characteristic
310	C₄×D₄×C₇₉	D₄	1	1	yes	characteristic
311	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
312	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
313	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
314	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
315	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
316	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
317	#117×C₇₉	—	2	1	no	—
318	#117×C₇₉	—	2	1	no	—
319	#117×C₇₉	—	2	1	no	—
320	#117×C₇₉	—	2	1	no	—
321	#117×C₇₉	—	2	1	no	—
322	#117×C₇₉	—	2	1	no	—
323	#117×C₇₉	—	2	1	no	—
324	#117×C₇₉	—	2	1	no	—
325	#117×C₇₉	C₂³	1	1	yes	characteristic
326	#117×C₇₉	C₂³	1	1	yes	characteristic
327	#117×C₇₉	C₂³	1	1	yes	characteristic
328	#117×C₇₉	C₂³	1	1	yes	characteristic
329	#117×C₇₉	C₂³	1	1	yes	characteristic
330	#117×C₇₉	C₂³	1	1	yes	characteristic
331	#117×C₇₉	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₇₉	D₄	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×C₂²⋊C₄×C₇₉	—	2	1	no	—
338	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
339	C₂×C₂²⋊C₄×C₇₉	D₄	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₇₉	D₄	1	1	yes	characteristic
341	C₂×C₄²×C₇₉	—	2	1	no	—
342	C₂×C₄²×C₇₉	—	2	1	no	—
343	C₂×C₄²×C₇₉	—	2	1	no	—
344	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×Dic₁₅₈	—	2	1	no	—
346	C₂×Dic₁₅₈	—	2	2	no	—
347	C₂×Dic₁₅₈	—	2	2	no	—
348	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
349	C₂²×Dic₇₉	—	2	1	no	—
350	C₂²×Dic₇₉	—	2	1	no	—
351	C₂²×Dic₇₉	—	2	1	no	—
352	C₂²×Dic₇₉	—	2	1	no	—
353	C₂²×Dic₇₉	—	2	2	no	—
354	C₂²×Dic₇₉	—	2	2	no	—
355	C₂²×Dic₇₉	—	4	4	no	—
356	#11929614	—	2	4	no	—
357	#11929612	—	2	4	no	—
358	#11929608	—	2	4	no	—
359	#11929608	—	2	4	no	—
360	#11929608	—	2	2	no	—
361	#11929608	—	2	2	no	—
362	#11929608	—	2	2	no	—
363	#11929608	#41	1	4	yes	complemented
364	C₂×C₇₉⋊C₈	—	2	4	no	—
365	C₂×C₇₉⋊C₈	—	2	4	no	—
366	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
367	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
368	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
369	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
370	C₄⋊Dic₇₉	—	2	1	no	—
371	C₄⋊Dic₇₉	—	2	1	no	—
372	C₄⋊Dic₇₉	—	2	2	no	—
373	C₄⋊Dic₇₉	—	2	2	no	—
374	C₄⋊Dic₇₉	—	2	1	no	—
375	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
376	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
377	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
378	Dic₇₉⋊C₄	—	2	2	no	—
379	Dic₇₉⋊C₄	—	2	2	no	—
380	Dic₇₉⋊C₄	—	2	2	no	—
381	Dic₇₉⋊C₄	—	2	2	no	—
382	Dic₇₉⋊C₄	—	2	2	no	—
383	Dic₇₉⋊C₄	—	2	2	no	—
384	Dic₇₉⋊C₄	—	2	2	no	—
385	Dic₇₉⋊C₄	—	2	2	no	—
386	Dic₇₉⋊C₄	—	2	2	no	—
387	Dic₇₉⋊C₄	—	2	2	no	—
388	C₂²⋊Dic₇₉	—	2	2	no	—
389	C₂²⋊Dic₇₉	—	2	2	no	—
390	C₂²⋊Dic₇₉	—	2	2	no	—
391	C₂²⋊Dic₇₉	—	2	2	no	—
392	C₂²⋊Dic₇₉	—	2	2	no	—
393	C₂²⋊Dic₇₉	—	2	2	no	—
394	C₄×Dic₇₉	—	2	2	no	—
395	C₄×Dic₇₉	—	2	2	no	—
396	C₄×Dic₇₉	—	2	2	no	—
397	C₄×Dic₇₉	—	2	2	no	—
398	C₂⁴×C₇₉	C₂×D₄	1	1	yes	characteristic
399	C₂⁴×C₇₉	C₂×D₄	1	1	yes	characteristic
400	#41×C₇₉	—	2	2	no	—
401	#41×C₇₉	—	2	2	no	—
402	#41×C₇₉	—	4	4	no	—
403	C₂×Q₈×C₇₉	—	2	1	no	—
404	C₂×Q₈×C₇₉	—	2	1	no	—
405	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
406	C₂×D₄×C₇₉	—	2	1	no	—
407	C₂×D₄×C₇₉	—	2	1	no	—
408	C₂×D₄×C₇₉	—	2	1	no	—
409	C₂×D₄×C₇₉	—	2	1	no	—
410	C₂×D₄×C₇₉	—	2	1	no	—
411	C₂×D₄×C₇₉	—	4	2	no	—
412	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
413	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
414	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
415	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
416	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₇₉	—	2	2	no	—
418	C₂²×C₄×C₇₉	—	2	2	no	—
419	C₂²×C₄×C₇₉	—	2	2	no	—
420	C₂²×C₄×C₇₉	—	2	2	no	—
421	C₂²×C₄×C₇₉	—	2	1	no	—
422	C₂²×C₄×C₇₉	—	2	1	no	—
423	C₂²×C₄×C₇₉	—	2	1	no	—
424	C₂²×C₄×C₇₉	—	2	1	no	—
425	C₂²×C₄×C₇₉	—	2	1	no	—
426	C₂²×C₄×C₇₉	—	2	1	no	—
427	C₂²×C₄×C₇₉	—	2	1	no	—
428	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
429	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
430	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
431	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
432	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
433	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
434	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
435	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
436	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
441	C₄⋊C₄×C₇₉	—	2	1	no	—
442	C₄⋊C₄×C₇₉	—	2	1	no	—
443	C₄⋊C₄×C₇₉	—	2	1	no	—
444	C₄⋊C₄×C₇₉	—	2	1	no	—
445	C₄⋊C₄×C₇₉	—	2	1	no	—
446	C₄⋊C₄×C₇₉	—	2	1	no	—
447	C₄⋊C₄×C₇₉	—	2	1	no	—
448	C₄⋊C₄×C₇₉	—	2	1	no	—
449	C₄⋊C₄×C₇₉	—	2	1	no	—
450	C₄⋊C₄×C₇₉	—	2	1	no	—
451	C₄⋊C₄×C₇₉	—	2	1	no	—
452	C₄⋊C₄×C₇₉	—	2	1	no	—
453	C₄⋊C₄×C₇₉	—	2	1	no	—
454	C₄⋊C₄×C₇₉	—	2	1	no	—
455	C₄⋊C₄×C₇₉	—	2	1	no	—
456	C₄⋊C₄×C₇₉	—	2	1	no	—
457	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
458	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
459	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
460	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
461	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
462	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
463	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
464	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
465	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
466	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
467	C₂²⋊C₄×C₇₉	—	2	1	no	—
468	C₂²⋊C₄×C₇₉	—	2	1	no	—
469	C₂²⋊C₄×C₇₉	—	2	1	no	—
470	C₂²⋊C₄×C₇₉	—	2	1	no	—
471	C₂²⋊C₄×C₇₉	—	2	1	no	—
472	C₂²⋊C₄×C₇₉	—	2	1	no	—
473	C₂²⋊C₄×C₇₉	—	2	1	no	—
474	C₂²⋊C₄×C₇₉	—	2	1	no	—
475	C₂²⋊C₄×C₇₉	—	2	1	no	—
476	C₂²⋊C₄×C₇₉	—	2	1	no	—
477	C₂²⋊C₄×C₇₉	—	2	1	no	—
478	C₂²⋊C₄×C₇₉	—	2	1	no	—
479	C₂²⋊C₄×C₇₉	—	2	1	no	—
480	C₂²⋊C₄×C₇₉	—	2	1	no	—
481	C₂²⋊C₄×C₇₉	—	2	1	no	—
482	C₂²⋊C₄×C₇₉	—	2	1	no	—
483	C₂²⋊C₄×C₇₉	—	2	1	no	—
484	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
485	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
486	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
487	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
488	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
489	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
490	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
491	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
492	C₄²×C₇₉	—	2	1	no	—
493	C₄²×C₇₉	—	2	1	no	—
494	C₄²×C₇₉	—	2	1	no	—
495	C₄²×C₇₉	—	2	1	no	—
496	C₄²×C₇₉	—	2	1	no	—
497	C₄²×C₇₉	—	2	1	no	—
498	C₄²×C₇₉	—	2	1	no	—
499	C₄²×C₇₉	—	2	1	no	—
500	C₄²×C₇₉	—	2	1	no	—
501	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
502	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
503	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
504	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
505	C₂³×C₇₉	—	2	2	no	—
506	C₂³×C₇₉	—	2	2	no	—
507	C₂³×C₇₉	—	2	2	no	—
508	C₂³×C₇₉	—	2	1	no	—
509	C₂³×C₇₉	—	4	1	no	—
510	C₂³×C₇₉	—	4	1	no	—
511	C₂³×C₇₉	—	4	1	no	—
512	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
513	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
514	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
515	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
516	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
517	Q₈×C₇₉	—	2	1	no	—
518	Q₈×C₇₉	—	2	1	no	—
519	Q₈×C₇₉	—	4	2	no	—
520	Q₈×C₇₉	—	8	1	no	—
521	D₄×C₇₉	—	2	2	no	—
522	D₄×C₇₉	—	2	2	no	—
523	D₄×C₇₉	—	2	1	no	—
524	D₄×C₇₉	—	2	1	no	—
525	D₄×C₇₉	—	4	1	no	—
526	D₄×C₇₉	—	4	1	no	—
527	D₄×C₇₉	—	4	2	no	—
528	D₄×C₇₉	—	4	2	no	—
529	D₄×C₇₉	—	4	2	no	—
530	D₄×C₇₉	—	8	1	no	—
531	D₄×C₇₉	—	8	1	no	—
532	C₂×C₄×C₇₉	—	2	2	no	—
533	C₂×C₄×C₇₉	—	2	2	no	—
534	C₂×C₄×C₇₉	—	2	2	no	—
535	C₂×C₄×C₇₉	—	2	2	no	—
536	C₂×C₄×C₇₉	—	2	2	no	—
537	C₂×C₄×C₇₉	—	2	2	no	—
538	C₂×C₄×C₇₉	—	2	1	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	1	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	—	4	1	no	—
554	C₂×C₄×C₇₉	—	4	1	no	—
555	C₂×C₄×C₇₉	—	4	2	no	—
556	C₂×C₄×C₇₉	—	4	2	no	—
557	C₂×C₄×C₇₉	—	4	2	no	—
558	C₂×C₄×C₇₉	—	4	2	no	—
559	C₂×C₄×C₇₉	—	8	1	no	—
560	C₂×C₄×C₇₉	—	8	1	no	—
561	C₂×C₄×C₇₉	—	8	1	no	—
562	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
563	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
564	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
565	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
566	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
567	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
568	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
569	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
570	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
571	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
572	C₂×C₄×C₇₉	2₋¹⁺⁴	1	2	yes	—
573	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
574	C₂×Dic₇₉	—	2	2	no	—
575	C₂×Dic₇₉	—	2	2	no	—
576	C₂×Dic₇₉	—	2	2	no	—
577	C₂×Dic₇₉	—	2	2	no	—
578	C₂×Dic₇₉	—	4	2	no	—
579	C₂×Dic₇₉	—	4	2	no	—
580	C₂×Dic₇₉	—	4	2	no	—
581	C₂×Dic₇₉	—	4	4	no	—
582	C₂×Dic₇₉	—	4	2	no	—
583	C₂×Dic₇₉	—	4	4	no	—
584	Dic₁₅₈	—	2	2	no	—
585	Dic₁₅₈	—	2	2	no	—
586	Dic₁₅₈	—	4	2	no	—
587	C₇₉⋊C₈	—	2	2	no	—
588	C₇₉⋊C₈	—	2	2	no	—
589	C₇₉⋊C₈	—	2	2	no	—
590	C₇₉⋊C₈	C₂×#41	1	4	yes	—
591	C₂²×C₇₉	—	2	1	no	—
592	C₂²×C₇₉	—	2	1	no	—
593	C₂²×C₇₉	—	2	1	no	—
594	C₂²×C₇₉	—	2	1	no	—
595	C₂²×C₇₉	—	2	1	no	—
596	C₂²×C₇₉	—	2	1	no	—
597	C₂²×C₇₉	—	2	1	no	—
598	C₂²×C₇₉	—	2	1	no	—
599	C₂²×C₇₉	—	2	1	no	—
600	C₂²×C₇₉	—	2	1	no	—
601	C₂²×C₇₉	—	2	1	no	—
602	C₂²×C₇₉	—	2	1	no	—
603	C₂²×C₇₉	—	2	1	no	—
604	C₂²×C₇₉	—	4	4	no	—
605	C₂²×C₇₉	—	4	1	no	—
606	C₂²×C₇₉	—	4	1	no	—
607	C₂²×C₇₉	—	4	1	no	—
608	C₂²×C₇₉	—	8	2	no	—
609	C₂²×C₇₉	#547	1	2	yes	—
610	C₂²×C₇₉	#575	1	2	yes	—
611	C₂²×C₇₉	C₂³×D₄	1	1	yes	characteristic
612	C₄×C₇₉	—	2	1	no	—
613	C₄×C₇₉	—	2	1	no	—
614	C₄×C₇₉	—	2	1	no	—
615	C₄×C₇₉	—	2	1	no	—
616	C₄×C₇₉	—	2	1	no	—
617	C₄×C₇₉	—	2	1	no	—
618	C₄×C₇₉	—	2	1	no	—
619	C₄×C₇₉	—	2	1	no	—
620	C₄×C₇₉	—	4	1	no	—
621	C₄×C₇₉	—	4	1	no	—
622	C₄×C₇₉	—	4	1	no	—
623	C₄×C₇₉	—	4	1	no	—
624	C₄×C₇₉	—	4	1	no	—
625	C₄×C₇₉	—	4	1	no	—
626	C₄×C₇₉	—	4	1	no	—
627	C₄×C₇₉	#547	1	2	yes	—
628	C₄×C₇₉	C₂²×#41	1	1	yes	characteristic
629	C₄×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
630	Dic₇₉	—	4	2	no	—
631	Dic₇₉	—	4	2	no	—
632	Dic₇₉	—	4	2	no	—
633	Dic₇₉	—	4	2	no	—
634	#61253	—	79	1	no	maximal, Sylow
635	C₂×C₇₉	—	2	2	no	—
636	C₂×C₇₉	—	2	2	no	—
637	C₂×C₇₉	—	4	1	no	—
638	C₂×C₇₉	—	4	1	no	—
639	C₂×C₇₉	—	4	1	no	—
640	C₂×C₇₉	—	8	1	no	—
641	C₂×C₇₉	C₂×#547	1	1	yes	characteristic
642	C₂×C₇₉	C₂×#575	1	1	yes	characteristic
643	C₂×C₇₉	#3586	1	1	yes	characteristic
644	#3475	D₇₉	1	1	yes	characteristic
645	C₂×#552	—	79	1	no	—
646	#3352	—	79	2	no	—
647	#3351	—	79	2	no	—
648	#3349	—	79	2	no	—
649	#3348	—	79	2	no	—
650	#3344	—	79	2	no	—
651	#3343	—	79	2	no	—
652	#3337	—	79	2	no	—
653	#3336	—	79	2	no	—
654	#3166	—	79	1	no	—
655	#3095	—	79	1	no	—
656	#3095	—	79	1	no	—
657	#3093	—	79	1	no	—
658	#3092	—	79	1	no	—
659	#3080	—	79	1	no	—
660	#3078	—	79	1	no	—
661	#3056	—	79	1	no	—
662	#3056	—	79	1	no	—
663	C₄×#137	—	79	1	no	—
664	D₄×M₁₆	—	79	1	no	—
665	#2911	—	79	1	no	—
666	C₂×#428	—	79	1	no	—
667	C₇₉	#61253	1	1	yes	characteristic, complemented, Sylow
668	C₂×#137	—	79	1	no	—
669	C₂²×M₁₆	—	79	1	no	—
670	C₂²×M₁₆	—	79	1	no	—
671	#556	C₂×D₇₉	1	1	yes	characteristic
672	#555	C₂×D₇₉	1	1	yes	characteristic
673	#554	C₂×D₇₉	1	1	yes	characteristic
674	#553	C₂×D₇₉	1	1	yes	characteristic
675	#553	C₂×D₇₉	1	1	yes	characteristic
676	#552	—	2	1	no	—
677	#552	—	79	2	no	—
678	#552	—	79	2	no	—
679	#552	—	79	2	no	—
680	#552	—	79	2	no	—
681	#552	—	158	1	no	—
682	#552	—	158	1	no	—
683	#552	—	158	1	no	—
684	#552	—	158	1	no	—
685	#552	C₂×D₇₉	1	1	yes	characteristic
686	#552	C₂×D₇₉	1	1	yes	characteristic
687	#551	—	2	1	no	—
688	#551	—	2	1	no	—
689	#547	C₂×D₇₉	1	1	yes	characteristic
690	#546	—	2	1	no	—
691	#533	C₂×D₇₉	1	1	yes	characteristic
692	#529	—	2	1	no	—
693	#529	—	2	1	no	—
694	#529	—	2	1	no	—
695	C₂×#126	—	158	1	no	—
696	C₂×#125	—	79	1	no	—
697	C₂×#125	—	158	1	no	—
698	#525	C₂×D₇₉	1	1	yes	characteristic
699	#525	C₂×D₇₉	1	1	yes	characteristic
700	C₂×#123	—	158	1	no	—
701	C₂×C₂²⋊Q₈	—	79	1	no	—
702	C₂×C₂²⋊Q₈	—	79	1	no	—
703	C₄×#41	—	2	1	no	—
704	C₄×#41	C₂×D₇₉	1	1	yes	characteristic
705	C₂×C₄×Q₈	—	79	1	no	—
706	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
707	C₂×#117	—	79	1	no	—
708	C₂×#117	—	158	1	no	—
709	C₂×#117	C₂×D₇₉	1	1	yes	characteristic
710	C₂×#117	C₂×D₇₉	1	1	yes	characteristic
711	C₂²×C₄⋊C₄	—	79	1	no	—
712	#501	—	79	2	no	—
713	#501	—	79	2	no	—
714	#499	—	79	2	no	—
715	#499	—	79	2	no	—
716	#485	—	79	2	no	—
717	#485	—	79	2	no	—
718	#485	—	79	2	no	—
719	#485	—	79	2	no	—
720	#485	—	79	2	no	—
721	#485	—	79	2	no	—
722	#484	—	79	2	no	—
723	#484	—	79	2	no	—
724	#484	—	79	2	no	—
725	#483	—	79	2	no	—
726	#483	—	79	2	no	—
727	#483	—	79	2	no	—
728	#482	—	79	2	no	—
729	#482	—	79	2	no	—
730	#481	—	79	2	no	—
731	#480	—	79	2	no	—
732	#479	—	79	2	no	—
733	#479	—	79	2	no	—
734	#479	—	79	2	no	—
735	#479	—	79	2	no	—
736	#478	—	79	2	no	—
737	#478	—	79	2	no	—
738	#477	—	79	2	no	—
739	#475	—	79	2	no	—
740	#470	—	79	2	no	—
741	#470	—	79	2	no	—
742	#468	—	79	2	no	—
743	#468	—	79	2	no	—
744	#467	—	79	2	no	—
745	#467	—	79	2	no	—
746	#465	—	79	2	no	—
747	#465	—	79	2	no	—
748	#441	—	79	2	no	—
749	#440	—	79	2	no	—
750	C₄×Q₁₆	—	79	2	no	—
751	C₄×SD₁₆	—	79	2	no	—
752	#436	—	79	2	no	—
753	#435	—	79	2	no	—
754	#435	—	79	2	no	—
755	C₈×D₄	—	79	2	no	—
756	#428	—	79	1	no	—
757	#428	—	79	1	no	—
758	#428	—	79	1	no	—
759	#428	—	79	1	no	—
760	#428	—	79	1	no	—
761	#428	—	79	2	no	—
762	#428	—	79	1	no	—
763	#428	—	79	2	no	—
764	#428	—	79	1	no	—
765	#428	—	79	1	no	—
766	#428	—	79	1	no	—
767	#428	—	79	2	no	—
768	#428	—	79	2	no	—
769	#427	—	79	2	no	—
770	#427	—	79	2	no	—
771	C₂×#107	—	79	2	no	—
772	C₂×#106	—	79	2	no	—
773	#423	—	79	1	no	—
774	#419	—	79	1	no	—
775	#419	—	79	1	no	—
776	#419	—	79	1	no	—
777	#417	—	79	1	no	—
778	#417	—	79	1	no	—
779	#417	—	79	1	no	—
780	#407	—	79	1	no	—
781	#407	—	79	1	no	—
782	C₄×M₁₆	—	79	1	no	—
783	C₂×#41	—	2	1	no	—
784	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
785	C₂²×Q₈	—	79	1	no	—
786	C₂²×D₄	C₂²⋊D₇₉	1	1	yes	characteristic
787	C₂³×C₄	—	158	1	no	—
788	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
789	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
790	#137	—	158	4	no	—
791	C₂×Q₁₆	—	79	2	no	—
792	C₂×SD₁₆	—	79	2	no	—
793	C₂×M₁₆	—	79	1	no	—
794	C₂×M₁₆	—	79	1	no	—
795	C₂×M₁₆	—	79	1	no	—
796	C₂×M₁₆	—	79	2	no	—
797	C₂×M₁₆	—	79	2	no	—
798	C₂×M₁₆	—	79	1	no	—
799	C₂×M₁₆	—	158	4	no	—
800	C₂×M₁₆	—	158	4	no	—
801	C₂²×C₈	—	79	2	no	—
802	C₂²×C₈	—	79	2	no	—
803	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
804	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
805	#126	—	2	1	no	—
806	#126	—	2	1	no	—
807	#126	—	2	1	no	—
808	#126	—	2	1	no	—
809	#126	—	2	1	no	—
810	#126	—	2	1	no	—
811	#126	—	158	2	no	—
812	#126	—	158	2	no	—
813	#126	—	158	2	no	—
814	#126	—	158	2	no	—
815	#125	—	2	1	no	—
816	#125	—	2	1	no	—
817	#125	—	2	1	no	—
818	#125	—	79	2	no	—
819	#125	—	79	2	no	—
820	#125	—	158	2	no	—
821	#125	—	158	2	no	—
822	#125	—	158	2	no	—
823	#125	—	158	2	no	—
824	#125	—	158	1	no	—
825	#125	—	158	1	no	—
826	#125	C₂²×D₇₉	1	1	yes	characteristic
827	#125	C₂²×D₇₉	1	1	yes	characteristic
828	#124	—	2	1	no	—
829	#124	—	2	1	no	—
830	#124	—	2	1	no	—
831	#123	—	2	1	no	—
832	#123	—	2	1	no	—
833	#123	—	2	1	no	—
834	#123	—	2	1	no	—
835	#123	—	2	1	no	—
836	#123	—	2	1	no	—
837	#123	—	2	1	no	—
838	#123	—	2	1	no	—
839	#123	—	158	2	no	—
840	#123	—	158	2	no	—
841	#123	—	158	2	no	—
842	#123	—	158	2	no	—
843	C₂²⋊Q₈	—	2	1	no	—
844	C₂²⋊Q₈	—	2	1	no	—
845	C₂²⋊Q₈	—	2	1	no	—
846	C₂²⋊Q₈	—	2	1	no	—
847	C₂²⋊Q₈	—	2	1	no	—
848	C₂²⋊Q₈	—	79	2	no	—
849	C₂²⋊Q₈	—	79	2	no	—
850	C₂²⋊Q₈	—	79	2	no	—
851	C₂²⋊Q₈	—	79	2	no	—
852	C₂²⋊Q₈	—	158	1	no	—
853	C₂²⋊Q₈	—	158	1	no	—
854	C₂²⋊Q₈	—	158	1	no	—
855	C₂²⋊Q₈	—	158	1	no	—
856	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
857	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
858	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
859	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
860	#121	—	2	1	no	—
861	#121	—	2	1	no	—
862	#121	—	2	1	no	—
863	#121	C₂²×D₇₉	1	1	yes	characteristic
864	#121	C₂²×D₇₉	1	1	yes	characteristic
865	#121	C₂²×D₇₉	1	1	yes	characteristic
866	#121	C₂²×D₇₉	1	1	yes	characteristic
867	#120	—	2	1	no	—
868	#120	—	2	1	no	—
869	C₄×Q₈	—	2	1	no	—
870	C₄×Q₈	—	2	1	no	—
871	C₄×Q₈	—	2	1	no	—
872	C₄×Q₈	—	79	2	no	—
873	C₄×Q₈	—	79	2	no	—
874	C₄×Q₈	—	158	1	no	—
875	C₄×Q₈	—	158	1	no	—
876	C₄×Q₈	C₂²×D₇₉	1	1	yes	characteristic
877	C₄×Q₈	C₂²×D₇₉	1	1	yes	characteristic
878	C₄×D₄	—	2	1	no	—
879	C₄×D₄	—	2	1	no	—
880	C₄×D₄	—	2	1	no	—
881	C₄×D₄	—	2	1	no	—
882	C₄×D₄	—	2	1	no	—
883	C₄×D₄	—	2	1	no	—
884	C₄×D₄	—	2	1	no	—
885	C₄×D₄	—	2	1	no	—
886	C₄×D₄	—	2	1	no	—
887	C₄×D₄	C₂²⋊D₇₉	1	1	yes	characteristic
888	C₄×D₄	C₂²⋊D₇₉	1	1	yes	characteristic
889	C₄×D₄	C₂²⋊D₇₉	1	1	yes	characteristic
890	C₄×D₄	C₂²⋊D₇₉	1	1	yes	characteristic
891	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
892	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
893	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
894	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
895	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
896	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
897	#117	—	2	1	no	—
898	#117	—	2	1	no	—
899	#117	—	2	1	no	—
900	#117	—	2	1	no	—
901	#117	—	2	1	no	—
902	#117	—	2	1	no	—
903	#117	—	2	1	no	—
904	#117	—	2	1	no	—
905	#117	—	79	2	no	—
906	#117	—	79	2	no	—
907	#117	—	158	1	no	—
908	#117	—	158	1	no	—
909	#117	—	158	2	no	—
910	#117	—	158	2	no	—
911	#117	—	158	2	no	—
912	#117	—	158	2	no	—
913	#117	C₂²×D₇₉	1	1	yes	characteristic
914	#117	C₂²×D₇₉	1	1	yes	characteristic
915	#117	C₂²×D₇₉	1	1	yes	characteristic
916	#117	C₂²×D₇₉	1	1	yes	characteristic
917	#117	C₂²×D₇₉	1	1	yes	characteristic
918	#117	C₂²×D₇₉	1	1	yes	characteristic
919	#117	C₂²×D₇₉	1	1	yes	characteristic
920	C₂×C₄⋊C₄	—	79	1	no	—
921	C₂×C₄⋊C₄	—	79	1	no	—
922	C₂×C₄⋊C₄	—	79	2	no	—
923	C₂×C₄⋊C₄	—	79	2	no	—
924	C₂×C₄⋊C₄	—	79	1	no	—
925	C₂×C₄⋊C₄	—	158	1	no	—
926	C₂×C₄⋊C₄	—	158	1	no	—
927	C₂×C₄⋊C₄	—	158	1	no	—
928	C₂×C₄⋊C₄	—	158	1	no	—
929	C₂×C₄⋊C₄	—	158	1	no	—
930	C₂×C₄⋊C₄	—	158	1	no	—
931	C₂×C₄⋊C₄	—	158	1	no	—
932	C₂×C₄⋊C₄	—	158	1	no	—
933	C₂×C₄⋊C₄	C₂²⋊D₇₉	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	—	2	1	no	—
939	C₂×C₂²⋊C₄	—	2	1	no	—
940	C₂×C₂²⋊C₄	—	158	1	no	—
941	C₂×C₂²⋊C₄	—	158	1	no	—
942	C₂×C₂²⋊C₄	—	158	1	no	—
943	C₂×C₂²⋊C₄	C₂²⋊D₇₉	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂²⋊D₇₉	1	1	yes	characteristic
945	C₂×C₄²	—	2	1	no	—
946	C₂×C₄²	—	2	1	no	—
947	C₂×C₄²	—	2	1	no	—
948	C₂×C₄²	—	158	1	no	—
949	C₂×C₄²	—	158	1	no	—
950	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
951	#107	—	79	2	no	—
952	#107	—	79	2	no	—
953	#107	—	79	2	no	—
954	#107	—	79	2	no	—
955	#107	—	79	2	no	—
956	#107	—	79	2	no	—
957	#107	—	79	2	no	—
958	#107	—	79	2	no	—
959	#107	—	79	2	no	—
960	#106	—	79	2	no	—
961	#106	—	79	2	no	—
962	#106	—	79	2	no	—
963	#106	—	79	2	no	—
964	#106	—	79	2	no	—
965	#106	—	79	2	no	—
966	#106	—	79	2	no	—
967	#106	—	79	2	no	—
968	#106	—	79	2	no	—
969	C₄⋊C₈	—	79	2	no	—
970	C₄⋊C₈	—	79	2	no	—
971	#103	—	79	2	no	—
972	#103	—	79	2	no	—
973	#103	—	79	2	no	—
974	#103	—	79	2	no	—
975	#103	—	79	2	no	—
976	#103	—	79	2	no	—
977	#103	—	79	2	no	—
978	#103	—	79	2	no	—
979	#103	—	79	2	no	—
980	#102	—	79	2	no	—
981	#102	—	79	2	no	—
982	#102	—	79	2	no	—
983	C₂²⋊C₈	—	79	2	no	—
984	C₂²⋊C₈	—	79	2	no	—
985	C₂²⋊C₈	—	79	2	no	—
986	C₂²⋊C₈	—	79	2	no	—
987	#97	—	79	2	no	—
988	C₄×C₈	—	79	2	no	—
989	C₂⁴	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
990	C₂⁴	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
991	#41	—	2	2	no	—
992	#41	—	2	2	no	—
993	#41	—	4	4	no	—
994	C₂×Q₈	—	2	1	no	—
995	C₂×Q₈	—	2	1	no	—
996	C₂×Q₈	—	79	2	no	—
997	C₂×Q₈	—	158	2	no	—
998	C₂×Q₈	—	158	2	no	—
999	C₂×Q₈	—	158	1	no	—
1000	C₂×Q₈	C₂³×D₇₉	1	1	yes	characteristic
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	2	1	no	—
1003	C₂×D₄	—	2	1	no	—
1004	C₂×D₄	—	2	1	no	—
1005	C₂×D₄	—	2	1	no	—
1006	C₂×D₄	—	4	2	no	—
1007	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1008	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1009	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1010	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1011	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1012	C₂²×C₄	—	2	2	no	—
1013	C₂²×C₄	—	2	2	no	—
1014	C₂²×C₄	—	2	2	no	—
1015	C₂²×C₄	—	2	2	no	—
1016	C₂²×C₄	—	2	1	no	—
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	—	2	1	no	—
1019	C₂²×C₄	—	2	1	no	—
1020	C₂²×C₄	—	2	1	no	—
1021	C₂²×C₄	—	2	1	no	—
1022	C₂²×C₄	—	2	1	no	—
1023	C₂²×C₄	—	316	4	no	—
1024	C₂²×C₄	—	158	1	no	—
1025	C₂²×C₄	—	158	1	no	—
1026	C₂²×C₄	—	158	1	no	—
1027	C₂²×C₄	—	158	1	no	—
1028	C₂²×C₄	—	158	2	no	—
1029	C₂²×C₄	—	158	2	no	—
1030	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1031	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1032	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1033	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1034	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1035	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1036	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1037	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1043	Q₁₆	—	158	4	no	—
1044	SD₁₆	—	158	4	no	—
1045	M₁₆	—	79	4	no	—
1046	M₁₆	—	158	4	no	—
1047	M₁₆	—	158	4	no	—
1048	M₁₆	—	158	2	no	—
1049	M₁₆	—	158	2	no	—
1050	M₁₆	—	158	2	no	—
1051	C₂×C₈	—	79	2	no	—
1052	C₂×C₈	—	79	2	no	—
1053	C₂×C₈	—	79	2	no	—
1054	C₂×C₈	—	79	2	no	—
1055	C₂×C₈	—	158	4	no	—
1056	C₂×C₈	—	158	4	no	—
1057	C₄⋊C₄	—	2	1	no	—
1058	C₄⋊C₄	—	2	1	no	—
1059	C₄⋊C₄	—	2	1	no	—
1060	C₄⋊C₄	—	2	1	no	—
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	1	no	—
1064	C₄⋊C₄	—	2	1	no	—
1065	C₄⋊C₄	—	2	1	no	—
1066	C₄⋊C₄	—	2	1	no	—
1067	C₄⋊C₄	—	2	1	no	—
1068	C₄⋊C₄	—	2	1	no	—
1069	C₄⋊C₄	—	2	1	no	—
1070	C₄⋊C₄	—	2	1	no	—
1071	C₄⋊C₄	—	2	1	no	—
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	—	79	2	no	—
1074	C₄⋊C₄	—	79	2	no	—
1075	C₄⋊C₄	—	79	2	no	—
1076	C₄⋊C₄	—	158	2	no	—
1077	C₄⋊C₄	—	158	2	no	—
1078	C₄⋊C₄	—	158	2	no	—
1079	C₄⋊C₄	—	158	2	no	—
1080	C₄⋊C₄	—	158	2	no	—
1081	C₄⋊C₄	—	158	2	no	—
1082	C₄⋊C₄	—	158	2	no	—
1083	C₄⋊C₄	—	158	2	no	—
1084	C₄⋊C₄	—	158	2	no	—
1085	C₄⋊C₄	—	158	2	no	—
1086	C₄⋊C₄	—	158	1	no	—
1087	C₄⋊C₄	—	158	1	no	—
1088	C₄⋊C₄	—	158	2	no	—
1089	C₄⋊C₄	—	158	2	no	—
1090	C₄⋊C₄	—	158	1	no	—
1091	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1092	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1093	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1094	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1095	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1096	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1097	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1098	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1099	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1100	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	1	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	1	no	—
1106	C₂²⋊C₄	—	2	1	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	—	2	1	no	—
1109	C₂²⋊C₄	—	2	1	no	—
1110	C₂²⋊C₄	—	2	1	no	—
1111	C₂²⋊C₄	—	2	1	no	—
1112	C₂²⋊C₄	—	2	1	no	—
1113	C₂²⋊C₄	—	2	1	no	—
1114	C₂²⋊C₄	—	2	1	no	—
1115	C₂²⋊C₄	—	2	1	no	—
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	—	2	1	no	—
1118	C₂²⋊C₄	—	158	2	no	—
1119	C₂²⋊C₄	—	158	2	no	—
1120	C₂²⋊C₄	—	158	2	no	—
1121	C₂²⋊C₄	—	158	2	no	—
1122	C₂²⋊C₄	—	158	2	no	—
1123	C₂²⋊C₄	—	158	2	no	—
1124	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1125	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1126	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1127	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1128	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1129	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1130	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1131	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1132	C₄²	—	2	1	no	—
1133	C₄²	—	2	1	no	—
1134	C₄²	—	2	1	no	—
1135	C₄²	—	2	1	no	—
1136	C₄²	—	2	1	no	—
1137	C₄²	—	2	1	no	—
1138	C₄²	—	2	1	no	—
1139	C₄²	—	2	1	no	—
1140	C₄²	—	2	1	no	—
1141	C₄²	—	158	2	no	—
1142	C₄²	—	158	2	no	—
1143	C₄²	—	158	2	no	—
1144	C₄²	—	158	2	no	—
1145	C₄²	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1146	C₄²	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1147	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1148	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	4	1	no	—
1154	C₂³	—	4	1	no	—
1155	C₂³	—	4	1	no	—
1156	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1157	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1158	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1159	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1160	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1161	Q₈	—	2	1	no	—
1162	Q₈	—	2	1	no	—
1163	Q₈	—	4	2	no	—
1164	Q₈	—	8	1	no	—
1165	Q₈	—	316	2	no	—
1166	Q₈	—	158	2	no	—
1167	Q₈	—	158	2	no	—
1168	D₄	—	2	2	no	—
1169	D₄	—	2	2	no	—
1170	D₄	—	2	1	no	—
1171	D₄	—	2	1	no	—
1172	D₄	—	4	1	no	—
1173	D₄	—	4	1	no	—
1174	D₄	—	4	2	no	—
1175	D₄	—	4	2	no	—
1176	D₄	—	4	2	no	—
1177	D₄	—	8	1	no	—
1178	D₄	—	8	1	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	2	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	2	no	—
1186	C₂×C₄	—	2	2	no	—
1187	C₂×C₄	—	2	2	no	—
1188	C₂×C₄	—	2	2	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	4	1	no	—
1201	C₂×C₄	—	4	1	no	—
1202	C₂×C₄	—	4	2	no	—
1203	C₂×C₄	—	4	2	no	—
1204	C₂×C₄	—	4	2	no	—
1205	C₂×C₄	—	4	2	no	—
1206	C₂×C₄	—	8	1	no	—
1207	C₂×C₄	—	8	1	no	—
1208	C₂×C₄	—	8	1	no	—
1209	C₂×C₄	—	316	2	no	—
1210	C₂×C₄	—	316	2	no	—
1211	C₂×C₄	—	316	4	no	—
1212	C₂×C₄	—	316	2	no	—
1213	C₂×C₄	—	316	2	no	—
1214	C₂×C₄	—	316	4	no	—
1215	C₂×C₄	—	158	2	no	—
1216	C₂×C₄	—	158	2	no	—
1217	C₂×C₄	—	158	2	no	—
1218	C₂×C₄	—	158	2	no	—
1219	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1220	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1221	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1222	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1223	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1224	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1225	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1226	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1227	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1228	C₂×C₄	#41×D₇₉	1	2	yes	—
1229	C₂×C₄	#14579208	1	2	yes	—
1230	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1231	C₈	—	79	4	no	—
1232	C₈	—	158	2	no	—
1233	C₈	—	158	2	no	—
1234	C₈	—	158	2	no	—
1235	C₂²	—	2	1	no	—
1236	C₂²	—	2	1	no	—
1237	C₂²	—	2	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	2	1	no	—
1240	C₂²	—	2	1	no	—
1241	C₂²	—	2	1	no	—
1242	C₂²	—	2	1	no	—
1243	C₂²	—	2	1	no	—
1244	C₂²	—	2	1	no	—
1245	C₂²	—	2	1	no	—
1246	C₂²	—	2	1	no	—
1247	C₂²	—	2	1	no	—
1248	C₂²	—	4	4	no	—
1249	C₂²	—	4	1	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	8	2	no	—
1253	C₂²	#19099212	1	2	yes	—
1254	C₂²	#19099361	1	2	yes	—
1255	C₂²	C₂³×C₂²⋊D₇₉	1	1	yes	characteristic
1256	C₄	—	2	1	no	—
1257	C₄	—	2	1	no	—
1258	C₄	—	2	1	no	—
1259	C₄	—	2	1	no	—
1260	C₄	—	2	1	no	—
1261	C₄	—	2	1	no	—
1262	C₄	—	2	1	no	—
1263	C₄	—	2	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	316	2	no	—
1272	C₄	—	316	2	no	—
1273	C₄	—	316	2	no	—
1274	C₄	—	316	2	no	—
1275	C₄	#19099212	1	2	yes	—
1276	C₄	C₂×#41×D₇₉	1	1	yes	characteristic
1277	C₄	C₂×#14579208	1	1	yes	characteristic
1278	C₂	—	2	2	no	—
1279	C₂	—	2	2	no	—
1280	C₂	—	4	1	no	—
1281	C₂	—	4	1	no	—
1282	C₂	—	4	1	no	—
1283	C₂	—	8	1	no	—
1284	C₂	C₂×#19099212	1	1	yes	characteristic
1285	C₂	C₂×#19099361	1	1	yes	characteristic
1286	C₂	#23778186	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₇₉
commutator, cosocle	C₂×C₄×C₇₉	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₉
Fitting, prime radical	C₇₉×#3475	C₂
socle	C₂²×C₇₉	C₂³×D₄
hypercenter	#3475	D₇₉
hypocenter	C₇₉	#61253
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ #3475

Complements

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

N	H ≅ G/N	type
1. C₂×#19099253	C₂	semidirect
2. #23775969	C₂	semidirect
3. #23775954	C₂	semidirect
4. #23775924	C₂	semidirect
5. #23775915	C₂	semidirect
6. #23775849	C₂	semidirect
7. #23775834	C₂	semidirect
8. #23775773	C₂	semidirect
9. #23775762	C₂	semidirect
10. #23773953	C₂	semidirect
11. #23773348	C₂	semidirect
12. #23773348	C₂	semidirect
13. #23773329	C₂	semidirect
14. #23773320	C₂	semidirect
15. #23773222	C₂	semidirect
16. #23773201	C₂	semidirect
17. #23773032	C₂	semidirect
18. #23773032	C₂	semidirect
19. C₄×#14579191	C₂	semidirect
20. D₄×#11929608	C₂	semidirect
21. #23771989	C₂	semidirect
22. C₂×#19098606	C₂	semidirect
45. #19098969	C₂²	semidirect
46. #19098969	C₂²	semidirect
47. #19098962	C₂²	semidirect
48. #19098962	C₂²	semidirect
49. #19098904	C₂²	semidirect
50. #19098904	C₂²	semidirect
51. #19098904	C₂²	semidirect
52. #19098904	C₂²	semidirect
53. #19098901	C₂²	semidirect
54. #19098901	C₂²	semidirect
55. #19098898	C₂²	semidirect
56. #19098898	C₂²	semidirect
57. #19098896	C₂²	semidirect
58. #19098893	C₂²	semidirect
59. #19098893	C₂²	semidirect
60. #19098891	C₂²	semidirect
61. #19098884	C₂²	semidirect
62. #19098884	C₂²	semidirect
63. #19098879	C₂²	semidirect
64. #19098874	C₂²	semidirect
65. #19098870	C₂²	semidirect
66. #19098870	C₂²	semidirect
67. #19098867	C₂²	semidirect
68. #19098867	C₂²	semidirect
69. #19098863	C₂²	semidirect
70. #19098863	C₂²	semidirect
71. #19098855	C₂²	semidirect
72. #19098845	C₂²	semidirect
73. #19098819	C₂²	semidirect
74. #19098819	C₂²	semidirect
75. #19098807	C₂²	semidirect
76. #19098807	C₂²	semidirect
77. #19098802	C₂²	semidirect
78. #19098802	C₂²	semidirect
79. #19098790	C₂²	semidirect
80. #19098790	C₂²	semidirect
81. #19098668	C₂²	semidirect
82. #19098663	C₂²	semidirect
83. C₄×#11929614	C₂²	semidirect
84. C₄×#11929612	C₂²	semidirect
98. #19098606	C₂²	semidirect
99. #19098606	C₂²	semidirect
100. #19098603	C₂²	semidirect
101. #19098603	C₂²	semidirect
102. #19098599	C₂²	semidirect
103. #19098599	C₂²	semidirect
104. C₂×#14579094	C₂²	semidirect
105. C₂×#14579092	C₂²	semidirect
363. #11929608	#41	semidirect
667. C₇₉	#61253	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19099253	2
#23775969	2
#23775954	2
#23775924	2
#23775915	2
#23775849	2
#23775834	2
#23775773	2
#23775762	2
#23773953	2
#23773348	2
#23773329	2
#23773320	2
#23773222	2
#23773201	2
#23773032	2
C₄×#14579191	2
D₄×#11929608	2
#23771989	2
C₂×#19098606	2
C₇₉×#3475	2
#61253	79