Subgroups — #35165490

Order 20224.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777106	C₂	1	1	yes	maximal, characteristic, complemented
2	#23777033	C₂	1	1	yes	maximal, characteristic, complemented
3	#23775547	C₂	1	2	yes	maximal, complemented
4	#23775487	C₂	1	2	yes	maximal, complemented
5	#23775427	C₂	1	2	yes	maximal, complemented
6	#23775367	C₂	1	2	yes	maximal, complemented
7	#23775256	C₂	1	2	yes	maximal, complemented
8	#23775241	C₂	1	2	yes	maximal, complemented
9	#23775219	C₂	1	2	yes	maximal, complemented
10	#23775208	C₂	1	2	yes	maximal, complemented
11	#23773758	C₂	1	1	yes	maximal, characteristic, complemented
12	#23773361	C₂	1	1	yes	maximal, characteristic, complemented
13	#23773320	C₂	1	1	yes	maximal, characteristic, complemented
14	#23773234	C₂	1	1	yes	maximal, characteristic, complemented
15	#23773083	C₂	1	1	yes	maximal, characteristic, complemented
16	#23772937	C₂	1	1	yes	maximal, characteristic, complemented
17	#23772700	C₂	1	1	yes	maximal, characteristic, complemented
18	#23772626	C₂	1	1	yes	maximal, characteristic, complemented
19	#23772235	C₂	1	1	yes	maximal, characteristic, complemented
20	#23772094	C₂	1	1	yes	maximal, characteristic, complemented
21	#23771922	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#14579083	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₉×#3050	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14579207	C₂²	1	1	yes	characteristic
25	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic
26	C₂×#14579186	C₂²	1	1	yes	characteristic
27	C₂×#14579186	C₂²	1	1	yes	characteristic, complemented
28	C₂×#14579167	C₂²	1	1	yes	characteristic, complemented
29	#19099271	C₂²	1	2	yes	complemented
30	#19099270	—	2	1	no	—
31	#19099265	C₂²	1	2	yes	complemented
32	#19099259	—	2	1	no	—
33	#19099255	C₂²	1	2	yes	complemented
34	#19099253	—	2	1	no	—
35	#19099217	—	2	1	no	—
36	#19099213	C₂²	1	2	yes	complemented
37	#19099209	—	2	1	no	—
38	#19099209	—	2	1	no	—
39	#19099204	C₂²	1	2	yes	—
40	#19099204	C₂²	1	2	yes	—
41	D₄×D₃₁₆	—	2	1	no	—
42	D₄×D₃₁₆	—	2	1	no	—
43	#19099197	C₂²	1	2	yes	—
44	#19099197	C₂²	1	2	yes	—
45	#19099191	C₂²	1	1	yes	characteristic, complemented
46	#19099157	—	2	2	no	—
47	#19099141	C₂²	1	1	yes	characteristic, complemented
48	#19099132	C₂²	1	1	yes	characteristic
49	#19099127	C₂²	1	1	yes	characteristic
50	#19099124	—	2	2	no	—
51	#19099074	C₂²	1	1	yes	characteristic
52	#19099069	—	2	2	no	—
53	#120×D₇₉	—	2	2	no	—
54	#19099046	C₂²	1	1	yes	characteristic, complemented
55	#19099043	C₂²	1	1	yes	characteristic, complemented
56	#19099037	C₂²	1	1	yes	characteristic
57	C₂²×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic, complemented
58	#19098926	C₂²	1	2	yes	complemented
59	#19098924	C₂²	1	2	yes	complemented
60	#19098919	C₂²	1	2	yes	complemented
61	#19098908	C₂²	1	2	yes	complemented
62	#19098896	C₂²	1	2	yes	complemented
63	#19098891	C₂²	1	2	yes	complemented
64	#19098890	C₂²	1	2	yes	complemented
65	#19098889	C₂²	1	2	yes	complemented
66	#19098883	C₂²	1	2	yes	complemented
67	#19098879	C₂²	1	2	yes	complemented
68	#19098878	C₂²	1	2	yes	complemented
69	#19098874	C₂²	1	2	yes	complemented
70	#19098866	C₂²	1	2	yes	complemented
71	#19098862	C₂²	1	2	yes	complemented
72	#19098852	C₂²	1	2	yes	complemented
73	#19098842	C₂²	1	2	yes	complemented
74	#19098815	C₂²	1	2	yes	complemented
75	#19098812	C₂²	1	2	yes	complemented
76	#19098798	C₂²	1	2	yes	complemented
77	#19098795	C₂²	1	2	yes	complemented
78	#19098787	C₂²	1	2	yes	complemented
79	#19098780	C₂²	1	2	yes	complemented
80	#19098761	C₂²	1	2	yes	complemented
81	#19098756	C₂²	1	2	yes	complemented
82	#19098724	C₂²	1	2	yes	complemented
83	#19098713	C₂²	1	2	yes	complemented
84	#19098713	C₂²	1	2	yes	complemented
85	#19098712	C₂²	1	2	yes	complemented
86	#19098707	C₂²	1	2	yes	complemented
87	#19098696	C₂²	1	2	yes	complemented
88	#19098696	C₂²	1	2	yes	complemented
89	#19098695	C₂²	1	2	yes	complemented
90	#19098672	C₂²	1	2	yes	complemented
91	#19098666	C₂²	1	2	yes	complemented
92	#19098648	C₂²	1	2	yes	complemented
93	#19098643	C₂²	1	2	yes	complemented
94	#19098634	C₂²	1	2	yes	complemented
95	#19098634	C₂²	1	2	yes	complemented
96	C₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
97	C₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
98	#19098606	C₂²	1	1	yes	characteristic, complemented
99	#19098606	C₂²	1	1	yes	characteristic, complemented
100	#19098589	C₂²	1	1	yes	characteristic, complemented
101	#19098567	C₂²	1	1	yes	characteristic
102	#19098567	C₂²	1	1	yes	characteristic, complemented
103	#19098566	C₂²	1	2	yes	complemented
104	#19098564	C₂²	1	1	yes	characteristic, complemented
105	#19098564	C₂²	1	1	yes	characteristic, complemented
106	#19098563	C₂²	1	2	yes	complemented
107	#19098558	C₂²	1	2	yes	complemented
108	C₂×#14579083	C₂²	1	1	yes	characteristic
109	C₂×#14579083	C₂²	1	1	yes	characteristic
110	C₂×#14579083	C₂²	1	1	yes	characteristic, complemented
111	C₂×#14579083	C₂²	1	2	yes	complemented
112	C₂×#14579083	C₂²	1	2	yes	complemented
113	C₂×#14579083	C₂²	1	2	yes	complemented
114	C₂×#14579083	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14579083	C₂²	1	2	yes	complemented
116	#102×D₇₉	C₂²	1	2	yes	complemented
117	#19098529	C₂²	1	1	yes	characteristic, complemented
118	#19098527	C₂²	1	1	yes	characteristic, complemented
119	#19098518	C₂²	1	1	yes	characteristic, complemented
120	C₂×#135×C₇₉	C₂²	1	1	yes	characteristic, complemented
121	C₂³×C₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
122	#525×C₇₉	C₂²	1	1	yes	characteristic
123	#525×C₇₉	C₂²	1	1	yes	characteristic, complemented
124	#467×C₇₉	C₂²	1	1	yes	characteristic, complemented
125	#467×C₇₉	C₂²	1	1	yes	characteristic, complemented
126	#466×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	#466×C₇₉	C₂²	1	1	yes	characteristic, complemented
128	#465×C₇₉	C₂²	1	1	yes	characteristic, complemented
129	#465×C₇₉	C₂²	1	1	yes	characteristic, complemented
130	#465×C₇₉	C₂²	1	1	yes	characteristic, complemented
131	#465×C₇₉	C₂²	1	1	yes	characteristic, complemented
132	#427×C₇₉	C₂²	1	1	yes	characteristic, complemented
133	#416×C₇₉	C₂²	1	1	yes	characteristic, complemented
134	#416×C₇₉	C₂²	1	1	yes	characteristic, complemented
135	C₂⁴×D₇₉	—	2	1	no	—
136	#14579207	—	2	4	no	—
137	#14579207	—	4	2	no	—
138	C₂×#11929625	C₂³	1	2	yes	—
139	C₂×#11929624	—	2	1	no	—
140	C₂×#11929624	C₂³	1	1	yes	characteristic
141	C₂×#11929623	—	2	2	no	—
142	C₂²×D₃₁₆	—	2	4	no	—
143	C₂²×D₃₁₆	—	2	1	no	—
144	C₂²×D₃₁₆	—	2	1	no	—
145	C₂²×D₃₁₆	—	2	1	no	—
146	C₂²×D₃₁₆	—	2	1	no	—
147	C₂²×D₃₁₆	—	4	2	no	—
148	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
149	C₂²×D₃₁₆	C₂³	1	2	yes	—
150	C₂²×D₃₁₆	C₂³	1	2	yes	—
151	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
152	C₂×D₄×D₇₉	—	2	2	no	—
153	C₂×D₄×D₇₉	—	2	2	no	—
154	C₂×D₄×D₇₉	—	2	2	no	—
155	C₂×D₄×D₇₉	C₂³	1	2	yes	—
156	C₂³×Dic₇₉	—	2	1	no	—
157	#14579186	—	2	4	no	—
158	#14579186	—	4	2	no	—
159	C₂×#11929611	C₂³	1	2	yes	—
160	C₂×#11929611	C₂³	1	2	yes	—
161	C₂×#11929609	C₂³	1	2	yes	—
162	C₂×#11929609	C₂³	1	2	yes	—
163	#14579167	—	4	2	no	—
164	C₂×#11929608	C₂³	1	1	yes	characteristic
165	C₂×#11929608	C₂³	1	1	yes	characteristic
166	C₂×#11929607	C₂³	1	2	yes	complemented
167	C₂×C₈×D₇₉	C₂³	1	2	yes	complemented
168	#14579161	—	2	1	no	—
169	#14579160	C₂³	1	2	yes	complemented
170	#14579158	—	2	1	no	—
171	#14579157	C₂³	1	2	yes	—
172	#14579156	—	2	2	no	—
173	#14579154	—	2	2	no	—
174	#14579153	—	2	1	no	—
175	#14579152	—	2	2	no	—
176	#14579152	C₂³	1	2	yes	complemented
177	#14579151	—	2	2	no	—
178	#14579150	C₂³	1	2	yes	—
179	#14579149	—	2	1	no	—
180	#14579146	—	2	2	no	—
181	#14579146	—	2	2	no	—
182	#14579145	—	2	2	no	—
183	#14579145	—	2	2	no	—
184	#14579144	D₄	1	2	yes	—
185	#14579143	—	2	2	no	—
186	#14579142	—	2	2	no	—
187	#14579141	—	2	2	no	—
188	#14579140	—	2	1	no	—
189	#14579140	D₄	1	1	yes	characteristic
190	#14579140	D₄	1	1	yes	characteristic
191	#14579138	—	2	2	no	—
192	#14579138	—	2	2	no	—
193	#14579138	—	2	2	no	—
194	#14579137	C₂³	1	2	yes	complemented
195	#14579136	—	2	2	no	—
196	#14579136	—	2	2	no	—
197	#14579136	C₂³	1	2	yes	—
198	#14579136	C₂³	1	2	yes	—
199	#14579135	—	2	1	no	—
200	#14579135	—	2	1	no	—
201	#14579135	—	2	1	no	—
202	#14579135	D₄	1	1	yes	characteristic
203	#14579135	D₄	1	1	yes	characteristic
204	#14579134	—	2	2	no	—
205	#14579134	—	2	2	no	—
206	#14579133	—	2	2	no	—
207	#14579133	—	2	2	no	—
208	#14579132	C₂³	1	2	yes	complemented
209	#14579131	—	2	2	no	—
210	#14579131	—	2	2	no	—
211	#14579131	—	2	2	no	—
212	#14579131	—	2	2	no	—
213	#14579131	—	2	2	no	—
214	#14579130	D₄	1	2	yes	—
215	#14579129	—	2	2	no	—
216	#14579129	—	2	2	no	—
217	#14579129	—	2	2	no	—
218	Q₈×Dic₇₉	C₂³	1	2	yes	complemented
219	C₄×Dic₁₅₈	—	2	1	no	—
220	C₄×D₃₁₆	—	2	1	no	—
221	C₄×D₃₁₆	—	2	1	no	—
222	C₄×D₃₁₆	—	2	1	no	—
223	D₄×Dic₇₉	—	2	2	no	—
224	D₄×Dic₇₉	—	2	2	no	—
225	D₄×Dic₇₉	C₂³	1	2	yes	complemented
226	#14579123	C₂³	1	2	yes	—
227	#14579123	C₂³	1	2	yes	—
228	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
229	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
230	(C₂²⋊D₇₉)⋊C₄	—	2	2	no	—
231	(C₂²⋊D₇₉)⋊C₄	—	2	2	no	—
232	#14579120	—	2	1	no	—
233	#14579120	C₂³	1	1	yes	characteristic
234	#14579119	C₂³	1	2	yes	complemented
235	#14579117	—	2	2	no	—
236	C₂×C₄⋊Dic₇₉	—	2	1	no	—
237	C₂×C₄⋊Dic₇₉	—	2	1	no	—
238	C₂×C₄⋊Dic₇₉	—	2	1	no	—
239	C₂×C₄⋊Dic₇₉	—	2	1	no	—
240	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
242	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
243	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
244	C₄⋊C₄×D₇₉	C₂³	1	2	yes	complemented
245	C₂²⋊C₄×D₇₉	—	2	2	no	—
246	C₂²⋊C₄×D₇₉	—	2	2	no	—
247	C₂²⋊C₄×D₇₉	—	2	2	no	—
248	#14579094	C₂³	1	2	yes	complemented
249	#14579094	C₂³	1	2	yes	complemented
250	#14579092	C₂³	1	2	yes	complemented
251	#14579092	C₂³	1	2	yes	complemented
252	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
253	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
254	#14579085	C₂³	1	2	yes	complemented
255	#14579085	C₂³	1	2	yes	complemented
256	#14579083	C₂³	1	2	yes	—
257	#14579083	C₂³	1	2	yes	—
258	#14579083	C₂³	1	2	yes	—
259	#14579083	C₂³	1	2	yes	—
260	#14579083	C₂³	1	2	yes	—
261	#14579083	C₂³	1	2	yes	—
262	#14579083	C₂³	1	2	yes	—
263	#14579083	C₂³	1	2	yes	—
264	#14579082	C₂³	1	2	yes	complemented
265	#14579082	C₂³	1	2	yes	complemented
266	#14579081	C₂³	1	2	yes	—
267	#14579081	C₂³	1	2	yes	—
268	#14579081	C₂³	1	2	yes	—
269	#14579081	C₂³	1	2	yes	—
270	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
271	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
272	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	complemented
273	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	complemented
274	#14579071	C₂³	1	2	yes	complemented
275	C₈×Dic₇₉	C₂³	1	2	yes	complemented
276	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
277	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
278	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
279	#135×C₇₉	—	4	2	no	—
280	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic, complemented
281	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic, complemented
282	C₂×SD₁₆×C₇₉	C₂³	1	1	yes	characteristic, complemented
283	C₂×D₈×C₇₉	C₂³	1	1	yes	characteristic, complemented
284	C₂²×C₈×C₇₉	—	4	2	no	—
285	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
286	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
287	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
288	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
289	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
290	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
291	#123×C₇₉	—	2	1	no	—
292	#123×C₇₉	—	2	1	no	—
293	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
294	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
295	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
296	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
297	#121×C₇₉	C₂³	1	1	yes	characteristic
298	#121×C₇₉	C₂³	1	1	yes	characteristic
299	#121×C₇₉	C₂³	1	1	yes	characteristic
300	#121×C₇₉	C₂³	1	1	yes	characteristic
301	#120×C₇₉	—	2	1	no	—
302	#120×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	#117×C₇₉	C₂³	1	1	yes	characteristic
308	#117×C₇₉	C₂³	1	1	yes	characteristic
309	#107×C₇₉	C₂³	1	1	yes	characteristic, complemented
310	#107×C₇₉	C₂³	1	1	yes	characteristic, complemented
311	#106×C₇₉	C₂³	1	1	yes	characteristic, complemented
312	#106×C₇₉	C₂³	1	1	yes	characteristic, complemented
313	#103×C₇₉	C₂³	1	1	yes	characteristic, complemented
314	#103×C₇₉	C₂³	1	1	yes	characteristic, complemented
315	#103×C₇₉	C₂³	1	1	yes	characteristic, complemented
316	#103×C₇₉	C₂³	1	1	yes	characteristic, complemented
317	#102×C₇₉	C₂³	1	1	yes	characteristic, complemented
318	#102×C₇₉	C₂³	1	1	yes	characteristic, complemented
319	#102×C₇₉	C₂³	1	1	yes	characteristic, complemented
320	#102×C₇₉	C₂³	1	1	yes	characteristic, complemented
321	C₂³×D₇₉	—	2	1	no	—
322	C₂³×D₇₉	—	2	2	no	—
323	C₂³×D₇₉	—	2	2	no	—
324	C₂³×D₇₉	—	2	1	no	—
325	C₂³×D₇₉	—	2	2	no	—
326	C₂³×D₇₉	—	4	4	no	—
327	C₂³×D₇₉	—	8	2	no	—
328	C₂³×D₇₉	—	8	2	no	—
329	#11929625	—	2	4	no	—
330	#11929625	—	4	2	no	—
331	#11929624	—	2	2	no	—
332	#11929624	—	2	2	no	—
333	#11929624	—	4	4	no	—
334	#11929623	—	8	4	no	—
335	C₂×Dic₁₅₈	—	2	2	no	—
336	C₂×Dic₁₅₈	C₂×D₄	1	1	yes	characteristic
337	C₂×D₃₁₆	—	2	2	no	—
338	C₂×D₃₁₆	—	2	2	no	—
339	C₂×D₃₁₆	—	2	2	no	—
340	C₂×D₃₁₆	—	2	4	no	—
341	C₂×D₃₁₆	—	2	4	no	—
342	C₂×D₃₁₆	—	2	1	no	—
343	C₂×D₃₁₆	—	2	2	no	—
344	C₂×D₃₁₆	—	2	2	no	—
345	C₂×D₃₁₆	—	2	1	no	—
346	C₂×D₃₁₆	—	2	2	no	—
347	C₂×D₃₁₆	—	2	2	no	—
348	C₂×D₃₁₆	—	2	2	no	—
349	C₂×D₃₁₆	—	4	4	no	—
350	C₂×D₃₁₆	—	4	2	no	—
351	C₂×D₃₁₆	—	4	2	no	—
352	C₂×D₃₁₆	—	4	4	no	—
353	C₂×D₃₁₆	—	4	4	no	—
354	C₂×D₃₁₆	—	4	4	no	—
355	C₂×D₃₁₆	C₂×D₄	1	1	yes	characteristic
356	C₂×D₃₁₆	#41	1	4	yes	complemented
357	C₂×D₃₁₆	C₂⁴	1	2	yes	—
358	C₂×D₃₁₆	C₂⁴	1	2	yes	—
359	C₂×C₂²⋊D₇₉	—	2	2	no	—
360	C₂×C₂²⋊D₇₉	—	2	2	no	—
361	C₂×C₂²⋊D₇₉	—	2	2	no	—
362	C₂×C₂²⋊D₇₉	—	2	2	no	—
363	C₂×C₂²⋊D₇₉	C₂×D₄	1	2	yes	—
364	C₂×C₂²⋊D₇₉	C₂×D₄	1	2	yes	—
365	C₂×C₂²⋊D₇₉	C₂×D₄	1	2	yes	—
366	D₄×D₇₉	—	2	4	no	—
367	D₄×D₇₉	—	4	8	no	—
368	D₄×D₇₉	—	4	2	no	—
369	D₄×D₇₉	—	8	4	no	—
370	D₄×D₇₉	—	8	4	no	—
371	C₂²×Dic₇₉	—	2	2	no	—
372	C₂²×Dic₇₉	—	2	2	no	—
373	C₂²×Dic₇₉	—	2	1	no	—
374	C₂²×Dic₇₉	—	2	2	no	—
375	C₂²×Dic₇₉	—	2	1	no	—
376	C₂²×Dic₇₉	—	8	2	no	—
377	C₂×C₄×D₇₉	—	2	2	no	—
378	C₂×C₄×D₇₉	—	2	2	no	—
379	C₂×C₄×D₇₉	—	2	2	no	—
380	C₂×C₄×D₇₉	—	2	2	no	—
381	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
382	#11929611	—	2	4	no	—
383	#11929611	—	4	2	no	—
384	#11929609	—	2	4	no	—
385	#11929609	—	4	2	no	—
386	#11929608	—	2	2	no	—
387	#11929608	—	2	2	no	—
388	#11929607	—	4	2	no	—
389	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
390	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
391	C₈×D₇₉	—	4	2	no	—
392	C₄⋊Dic₇₉	—	2	2	no	—
393	C₄⋊Dic₇₉	—	2	2	no	—
394	C₄⋊Dic₇₉	—	2	1	no	—
395	C₄⋊Dic₇₉	—	2	1	no	—
396	C₄⋊Dic₇₉	—	2	2	no	—
397	C₄⋊Dic₇₉	—	2	2	no	—
398	C₄⋊Dic₇₉	C₂×D₄	1	1	yes	characteristic
399	C₄⋊Dic₇₉	C₂×D₄	1	1	yes	characteristic
400	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
401	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
402	Dic₇₉⋊C₄	—	2	2	no	—
403	Dic₇₉⋊C₄	—	2	2	no	—
404	Dic₇₉⋊C₄	—	2	2	no	—
405	Dic₇₉⋊C₄	—	2	2	no	—
406	Dic₇₉⋊C₄	C₂×D₄	1	2	yes	—
407	Dic₇₉⋊C₄	C₂×D₄	1	2	yes	—
408	C₂²⋊Dic₇₉	—	2	2	no	—
409	C₂²⋊Dic₇₉	—	2	2	no	—
410	C₂²⋊Dic₇₉	C₂×D₄	1	2	yes	—
411	C₂²⋊Dic₇₉	C₂×D₄	1	2	yes	—
412	C₂²⋊Dic₇₉	C₂×D₄	1	2	yes	—
413	(C₂×D₇₉)⋊C₄	—	2	2	no	—
414	(C₂×D₇₉)⋊C₄	—	2	2	no	—
415	(C₂×D₇₉)⋊C₄	—	2	2	no	—
416	(C₂×D₇₉)⋊C₄	—	2	2	no	—
417	(C₂×D₇₉)⋊C₄	—	2	2	no	—
418	(C₂×D₇₉)⋊C₄	—	2	2	no	—
419	(C₂×D₇₉)⋊C₄	—	2	2	no	—
420	(C₂×D₇₉)⋊C₄	—	2	2	no	—
421	(C₂×D₇₉)⋊C₄	C₂×D₄	1	2	yes	—
422	(C₂×D₇₉)⋊C₄	C₂×D₄	1	2	yes	—
423	C₄×Dic₇₉	—	2	2	no	—
424	C₄×Dic₇₉	—	2	2	no	—
425	C₄×Dic₇₉	C₂⁴	1	2	yes	—
426	C₂⁴×C₇₉	C₂×D₄	1	1	yes	characteristic
427	#41×C₇₉	—	2	2	no	—
428	#41×C₇₉	—	2	2	no	—
429	#41×C₇₉	—	2	2	no	—
430	#41×C₇₉	—	2	2	no	—
431	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
432	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
433	C₂×D₄×C₇₉	—	2	1	no	—
434	C₂×D₄×C₇₉	—	2	1	no	—
435	C₂×D₄×C₇₉	—	2	1	no	—
436	C₂×D₄×C₇₉	—	2	1	no	—
437	C₂×D₄×C₇₉	—	2	1	no	—
438	C₂×D₄×C₇₉	—	2	1	no	—
439	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
440	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₇₉	—	2	2	no	—
442	C₂²×C₄×C₇₉	—	2	2	no	—
443	C₂²×C₄×C₇₉	—	2	1	no	—
444	C₂²×C₄×C₇₉	—	2	1	no	—
445	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
446	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
447	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
448	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
451	Q₁₆×C₇₉	—	4	1	no	—
452	SD₁₆×C₇₉	—	4	1	no	—
453	SD₁₆×C₇₉	—	4	1	no	—
454	D₈×C₇₉	—	4	1	no	—
455	C₂×C₈×C₇₉	—	2	2	no	—
456	C₂×C₈×C₇₉	—	2	2	no	—
457	C₂×C₈×C₇₉	—	4	1	no	—
458	C₂×C₈×C₇₉	—	4	1	no	—
459	C₂×C₈×C₇₉	—	4	1	no	—
460	C₂×C₈×C₇₉	—	4	1	no	—
461	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
462	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
463	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
464	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
465	C₄⋊C₄×C₇₉	—	2	1	no	—
466	C₄⋊C₄×C₇₉	—	2	1	no	—
467	C₄⋊C₄×C₇₉	—	2	1	no	—
468	C₄⋊C₄×C₇₉	—	2	1	no	—
469	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
470	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
471	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
472	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
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	C₄²×C₇₉	—	2	1	no	—
484	C₄²×C₇₉	—	2	1	no	—
485	C₂³×C₇₉	—	2	2	no	—
486	C₂³×C₇₉	—	2	2	no	—
487	C₂³×C₇₉	—	2	2	no	—
488	C₂³×C₇₉	—	2	1	no	—
489	C₂³×C₇₉	—	2	1	no	—
490	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
491	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
492	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
493	C₂²×D₇₉	—	2	2	no	—
494	C₂²×D₇₉	—	2	4	no	—
495	C₂²×D₇₉	—	2	2	no	—
496	C₂²×D₇₉	—	4	4	no	—
497	C₂²×D₇₉	—	4	4	no	—
498	C₂²×D₇₉	—	4	4	no	—
499	C₂²×D₇₉	—	4	2	no	—
500	C₂²×D₇₉	—	4	4	no	—
501	C₂²×D₇₉	—	4	4	no	—
502	C₂²×D₇₉	—	8	2	no	—
503	C₂²×D₇₉	—	8	2	no	—
504	C₂²×D₇₉	—	8	1	no	—
505	C₂²×D₇₉	—	8	2	no	—
506	C₂²×D₇₉	—	8	1	no	—
507	C₂²×D₇₉	—	8	2	no	—
508	C₂²×D₇₉	—	8	1	no	—
509	C₂²×D₇₉	—	8	1	no	—
510	C₂²×D₇₉	—	8	16	no	—
511	C₂²×D₇₉	C₂²×D₄	1	2	yes	—
512	Q₈×C₇₉	—	2	1	no	—
513	Q₈×C₇₉	—	2	1	no	—
514	Q₈×C₇₉	—	2	1	no	—
515	Q₈×C₇₉	—	2	1	no	—
516	D₄×C₇₉	—	2	1	no	—
517	D₄×C₇₉	—	2	1	no	—
518	D₄×C₇₉	—	2	1	no	—
519	D₄×C₇₉	—	2	1	no	—
520	D₄×C₇₉	—	4	2	no	—
521	D₄×C₇₉	—	4	2	no	—
522	D₄×C₇₉	—	4	2	no	—
523	D₄×C₇₉	—	4	2	no	—
524	D₄×C₇₉	—	4	2	no	—
525	D₄×C₇₉	—	4	2	no	—
526	C₂×C₄×C₇₉	—	2	2	no	—
527	C₂×C₄×C₇₉	—	2	2	no	—
528	C₂×C₄×C₇₉	—	2	2	no	—
529	C₂×C₄×C₇₉	—	2	1	no	—
530	C₂×C₄×C₇₉	—	2	1	no	—
531	C₂×C₄×C₇₉	—	2	1	no	—
532	C₂×C₄×C₇₉	—	2	1	no	—
533	C₂×C₄×C₇₉	—	2	1	no	—
534	C₂×C₄×C₇₉	—	2	1	no	—
535	C₂×C₄×C₇₉	—	2	1	no	—
536	C₂×C₄×C₇₉	—	2	1	no	—
537	C₂×C₄×C₇₉	—	2	1	no	—
538	C₂×C₄×C₇₉	—	2	1	no	—
539	C₂×C₄×C₇₉	—	4	2	no	—
540	C₂×C₄×C₇₉	—	4	2	no	—
541	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
543	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
545	C₂×C₄×C₇₉	H(5,𝔽₂)	1	2	yes	—
546	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
547	C₂²⋊D₇₉	—	2	4	no	—
548	C₂²⋊D₇₉	—	2	4	no	—
549	C₂²⋊D₇₉	—	2	4	no	—
550	C₂²⋊D₇₉	—	4	4	no	—
551	C₂²⋊D₇₉	—	8	2	no	—
552	C₂²⋊D₇₉	—	8	2	no	—
553	C₂²⋊D₇₉	—	8	2	no	—
554	C₂×Dic₇₉	—	2	2	no	—
555	C₂×Dic₇₉	—	2	2	no	—
556	C₂×Dic₇₉	—	4	4	no	—
557	C₂×Dic₇₉	—	8	2	no	—
558	C₂×Dic₇₉	—	8	1	no	—
559	C₂×Dic₇₉	—	8	2	no	—
560	C₂×Dic₇₉	—	8	1	no	—
561	C₂×Dic₇₉	C₂²×D₄	1	2	yes	—
562	C₂×Dic₇₉	C₂²×D₄	1	2	yes	—
563	C₂×Dic₇₉	C₂²×D₄	1	2	yes	—
564	D₃₁₆	—	2	4	no	—
565	D₃₁₆	—	2	2	no	—
566	D₃₁₆	—	2	2	no	—
567	D₃₁₆	—	2	2	no	—
568	D₃₁₆	—	2	2	no	—
569	D₃₁₆	—	4	4	no	—
570	D₃₁₆	—	4	4	no	—
571	D₃₁₆	—	4	4	no	—
572	D₃₁₆	—	4	2	no	—
573	D₃₁₆	—	8	2	no	—
574	D₃₁₆	—	8	2	no	—
575	D₃₁₆	C₂×#41	1	4	yes	—
576	C₄×D₇₉	—	2	2	no	—
577	C₄×D₇₉	—	2	2	no	—
578	C₄×D₇₉	—	4	4	no	—
579	C₄×D₇₉	—	8	2	no	—
580	C₄×D₇₉	—	8	2	no	—
581	C₄×D₇₉	—	8	2	no	—
582	Dic₁₅₈	—	2	2	no	—
583	Dic₁₅₈	—	8	2	no	—
584	C₈×C₇₉	—	2	1	no	—
585	C₈×C₇₉	—	2	1	no	—
586	C₈×C₇₉	—	2	1	no	—
587	C₈×C₇₉	—	2	1	no	—
588	C₇₉⋊C₈	—	2	2	no	—
589	C₇₉⋊C₈	—	2	2	no	—
590	C₂²×C₇₉	—	2	8	no	—
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	—	4	1	no	—
598	C₂²×C₇₉	—	4	1	no	—
599	C₂²×C₇₉	—	4	1	no	—
600	C₂²×C₇₉	—	4	1	no	—
601	C₂²×C₇₉	—	4	1	no	—
602	C₂²×C₇₉	—	4	1	no	—
603	C₂²×C₇₉	#546	1	2	yes	—
604	C₂²×C₇₉	#576	1	2	yes	—
605	C₂²×C₇₉	#577	1	2	yes	—
606	C₂²×C₇₉	C₂³×D₄	1	1	yes	characteristic
607	C₂×D₇₉	—	2	2	no	—
608	C₂×D₇₉	—	2	4	no	—
609	C₂×D₇₉	—	2	2	no	—
610	C₂×D₇₉	—	2	2	no	—
611	C₂×D₇₉	—	4	2	no	—
612	C₂×D₇₉	—	4	2	no	—
613	C₂×D₇₉	—	4	2	no	—
614	C₂×D₇₉	—	4	2	no	—
615	C₂×D₇₉	—	4	2	no	—
616	C₂×D₇₉	—	8	4	no	—
617	C₂×D₇₉	—	8	8	no	—
618	C₂×D₇₉	—	8	8	no	—
619	C₂×D₇₉	—	8	4	no	—
620	C₂×D₇₉	—	16	4	no	—
621	C₄×C₇₉	—	2	1	no	—
622	C₄×C₇₉	—	2	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	—	4	1	no	—
628	C₄×C₇₉	—	4	1	no	—
629	C₄×C₇₉	#546	1	2	yes	—
630	C₄×C₇₉	C₂²×#41	1	1	yes	characteristic
631	C₄×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
632	Dic₇₉	—	2	2	no	—
633	Dic₇₉	—	2	2	no	—
634	Dic₇₉	—	2	2	no	—
635	Dic₇₉	—	4	2	no	—
636	Dic₇₉	—	4	2	no	—
637	#61167	—	79	1	no	maximal, Sylow
638	C₂×C₇₉	—	2	2	no	—
639	C₂×C₇₉	—	2	2	no	—
640	C₂×C₇₉	—	2	2	no	—
641	C₂×C₇₉	—	8	1	no	—
642	C₂×C₇₉	—	8	1	no	—
643	C₂×C₇₉	C₂×#546	1	1	yes	characteristic
644	C₂×C₇₉	C₂×#576	1	1	yes	characteristic
645	C₂×C₇₉	C₂×#577	1	1	yes	characteristic
646	D₇₉	—	4	2	no	—
647	D₇₉	—	4	4	no	—
648	D₇₉	—	8	2	no	—
649	#3492	—	79	1	no	—
650	#3484	—	79	1	no	—
651	#3318	—	79	2	no	—
652	#3314	—	79	2	no	—
653	#3310	—	79	2	no	—
654	#3306	—	79	2	no	—
655	#3297	—	79	2	no	—
656	#3296	—	79	2	no	—
657	#3295	—	79	2	no	—
658	#3294	—	79	2	no	—
659	#3136	—	79	1	no	—
660	#3096	—	79	1	no	—
661	#3092	—	79	1	no	—
662	#3081	—	79	1	no	—
663	#3062	—	79	1	no	—
664	#3050	D₇₉	1	1	yes	characteristic, complemented
665	#3045	—	79	1	no	—
666	#3012	—	79	1	no	—
667	#3003	—	79	1	no	—
668	#2946	—	79	1	no	—
669	#2929	—	79	1	no	—
670	#2897	—	79	1	no	—
671	C₂²×#102	—	79	1	no	—
672	C₇₉	#61167	1	1	yes	characteristic, complemented, Sylow
673	C₂×H(5,𝔽₂)	—	79	1	no	—
674	C₂³×D₄	—	79	1	no	—
675	C₂×AGL(1,ℤ/8)	—	79	1	no	—
676	C₂×AGL(1,ℤ/8)	—	79	1	no	—
677	C₂×#135	C₂×D₇₉	1	1	yes	characteristic, complemented
678	C₂×#131	—	79	1	no	—
679	C₂³×C₈	C₂×D₇₉	1	1	yes	characteristic, complemented
680	#554	—	79	2	no	—
681	#554	—	158	1	no	—
682	#553	—	79	2	no	—
683	#553	—	158	1	no	—
684	#552	—	79	2	no	—
685	#552	—	158	1	no	—
686	#547	—	79	2	no	—
687	#547	—	158	1	no	—
688	#546	—	79	2	no	—
689	#546	—	79	2	no	—
690	#546	—	158	1	no	—
691	#546	—	158	1	no	—
692	D₄²	—	79	2	no	—
693	D₄²	—	79	2	no	—
694	D₄²	—	158	1	no	—
695	D₄²	—	158	1	no	—
696	#544	—	79	1	no	—
697	#539	—	158	2	no	—
698	#537	—	79	1	no	—
699	#535	—	79	1	no	—
700	#535	—	79	1	no	—
701	#534	—	158	2	no	—
702	#525	—	79	1	no	—
703	#525	—	158	2	no	—
704	#525	C₂×D₇₉	1	1	yes	characteristic
705	#525	C₂×D₇₉	1	1	yes	characteristic, complemented
706	C₂×#120	—	158	2	no	—
707	#520	—	79	1	no	—
708	#520	—	79	1	no	—
709	#518	—	79	1	no	—
710	C₂²×C₄⋊C₄	—	79	1	no	—
711	#490	—	79	2	no	—
712	#489	—	79	2	no	—
713	#488	—	79	2	no	—
714	#486	—	79	2	no	—
715	#484	—	79	2	no	—
716	#483	—	79	2	no	—
717	#482	—	79	2	no	—
718	#482	—	79	2	no	—
719	#481	—	79	2	no	—
720	#481	—	79	2	no	—
721	#480	—	79	2	no	—
722	#480	—	79	2	no	—
723	#478	—	79	2	no	—
724	#478	—	79	2	no	—
725	#476	—	79	2	no	—
726	#474	—	79	2	no	—
727	#469	—	79	2	no	—
728	#468	—	79	2	no	—
729	#467	C₂×D₇₉	1	1	yes	characteristic, complemented
730	#467	C₂×D₇₉	1	1	yes	characteristic, complemented
731	#466	—	79	2	no	—
732	#466	C₂×D₇₉	1	1	yes	characteristic, complemented
733	#466	C₂×D₇₉	1	1	yes	characteristic, complemented
734	#465	—	79	2	no	—
735	#465	C₂×D₇₉	1	1	yes	characteristic, complemented
736	#465	C₂×D₇₉	1	1	yes	characteristic, complemented
737	#465	C₂×D₇₉	1	1	yes	characteristic, complemented
738	#465	C₂×D₇₉	1	1	yes	characteristic, complemented
739	#464	—	79	2	no	—
740	#463	—	79	2	no	—
741	#460	—	79	2	no	—
742	#459	—	79	2	no	—
743	#452	—	79	2	no	—
744	#450	—	79	2	no	—
745	#450	—	79	2	no	—
746	#450	—	79	2	no	—
747	#449	—	79	2	no	—
748	#447	—	79	2	no	—
749	#447	—	79	2	no	—
750	#447	—	79	2	no	—
751	#442	—	79	2	no	—
752	#440	—	79	2	no	—
753	C₄×SD₁₆	—	79	2	no	—
754	C₄×D₈	—	79	2	no	—
755	#435	—	79	2	no	—
756	#435	—	79	2	no	—
757	C₈×D₄	—	79	2	no	—
758	C₈×D₄	—	79	2	no	—
759	#428	—	79	1	no	—
760	#428	—	79	1	no	—
761	#427	C₂×D₇₉	1	1	yes	characteristic, complemented
762	#424	—	79	1	no	—
763	#418	—	79	1	no	—
764	#418	—	79	1	no	—
765	#418	—	79	2	no	—
766	#417	—	79	1	no	—
767	#417	—	79	1	no	—
768	#417	—	79	2	no	—
769	#416	—	79	2	no	—
770	#416	C₂×D₇₉	1	1	yes	characteristic, complemented
771	#416	C₂×D₇₉	1	1	yes	characteristic, complemented
772	C₂×#102	—	79	1	no	—
773	C₂×#102	—	79	1	no	—
774	C₂×#102	—	79	1	no	—
775	C₂×#102	—	79	1	no	—
776	C₂×#102	—	79	2	no	—
777	C₂×#102	—	79	2	no	—
778	C₂×#102	—	79	2	no	—
779	C₂×#102	—	79	2	no	—
780	C₂×#102	—	79	2	no	—
781	#408	—	79	1	no	—
782	#407	—	79	1	no	—
783	#405	—	79	1	no	—
784	C₂⁵	—	158	1	no	—
785	H(5,𝔽₂)	—	316	2	no	—
786	H(5,𝔽₂)	—	158	4	no	—
787	C₂×#41	—	79	1	no	—
788	C₂×#41	—	79	2	no	—
789	C₂×#41	—	158	1	no	—
790	C₂×#41	—	158	2	no	—
791	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
792	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
793	C₂²×D₄	—	316	2	no	—
794	C₂²×D₄	—	79	2	no	—
795	C₂²×D₄	—	79	2	no	—
796	C₂²×D₄	—	79	2	no	—
797	C₂²×D₄	—	79	1	no	—
798	C₂²×D₄	—	79	1	no	—
799	C₂²×D₄	—	158	1	no	—
800	C₂²×D₄	—	158	4	no	—
801	C₂²×D₄	—	158	2	no	—
802	C₂²×D₄	—	158	2	no	—
803	C₂²×D₄	—	158	2	no	—
804	C₂²×D₄	—	158	1	no	—
805	C₂²×D₄	—	158	1	no	—
806	C₂²×D₄	—	158	1	no	—
807	C₂³×C₄	—	158	1	no	—
808	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
809	AGL(1,ℤ/8)	—	316	2	no	—
810	AGL(1,ℤ/8)	—	158	4	no	—
811	#135	—	4	2	no	—
812	C₂×Q₁₆	C₂²×D₇₉	1	1	yes	characteristic, complemented
813	C₂×SD₁₆	—	79	2	no	—
814	C₂×SD₁₆	—	79	2	no	—
815	C₂×SD₁₆	C₂²×D₇₉	1	1	yes	characteristic, complemented
816	C₂×SD₁₆	C₂²×D₇₉	1	1	yes	characteristic, complemented
817	C₂×D₈	—	79	2	no	—
818	C₂×D₈	—	79	2	no	—
819	C₂×D₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
820	#131	—	316	2	no	—
821	C₂×M₁₆	—	79	1	no	—
822	C₂×M₁₆	—	79	1	no	—
823	C₂×M₁₆	—	79	2	no	—
824	C₂²×C₈	—	4	2	no	—
825	C₂²×C₈	—	79	2	no	—
826	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
827	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
828	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
829	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
830	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
831	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
832	C₄⋊Q₈	—	79	2	no	—
833	C₄⋊Q₈	—	158	1	no	—
834	#127	—	79	2	no	—
835	#127	—	158	1	no	—
836	#126	—	158	2	no	—
837	#126	—	158	2	no	—
838	#125	—	79	2	no	—
839	#125	—	158	1	no	—
840	#125	—	158	2	no	—
841	#125	—	158	2	no	—
842	#124	—	79	2	no	—
843	#124	—	158	1	no	—
844	#123	—	2	1	no	—
845	#123	—	2	1	no	—
846	#123	—	79	2	no	—
847	#123	—	158	2	no	—
848	#123	—	158	2	no	—
849	#123	—	158	2	no	—
850	#123	—	158	2	no	—
851	#123	—	158	2	no	—
852	#123	—	158	2	no	—
853	C₂²⋊Q₈	—	79	1	no	—
854	C₂²⋊Q₈	—	79	1	no	—
855	C₂²⋊Q₈	—	79	2	no	—
856	C₂²⋊Q₈	—	158	2	no	—
857	C₂²⋊Q₈	—	158	2	no	—
858	C₂²⋊Q₈	—	158	2	no	—
859	C₂²⋊Q₈	—	158	2	no	—
860	C₂²⋊Q₈	—	158	1	no	—
861	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
862	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
863	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
864	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
865	#121	—	79	1	no	—
866	#121	—	79	1	no	—
867	#121	—	79	2	no	—
868	#121	—	79	2	no	—
869	#121	—	79	2	no	—
870	#121	—	158	2	no	—
871	#121	—	158	2	no	—
872	#121	—	158	2	no	—
873	#121	—	158	2	no	—
874	#121	—	158	1	no	—
875	#121	—	158	1	no	—
876	#121	—	158	1	no	—
877	#121	—	158	2	no	—
878	#121	—	158	2	no	—
879	#121	C₂²×D₇₉	1	1	yes	characteristic
880	#121	C₂²×D₇₉	1	1	yes	characteristic
881	#121	C₂²×D₇₉	1	1	yes	characteristic
882	#121	C₂²×D₇₉	1	1	yes	characteristic
883	#120	—	2	1	no	—
884	#120	—	2	1	no	—
885	#120	—	79	2	no	—
886	#120	—	158	2	no	—
887	#120	—	158	2	no	—
888	#120	—	158	2	no	—
889	#120	—	158	2	no	—
890	#120	—	158	2	no	—
891	#120	—	158	2	no	—
892	#120	—	158	2	no	—
893	#120	—	158	2	no	—
894	C₄×Q₈	—	79	2	no	—
895	C₄×Q₈	—	158	1	no	—
896	C₄×D₄	—	2	1	no	—
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	2	1	no	—
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	—	79	2	no	—
901	C₄×D₄	—	79	2	no	—
902	C₄×D₄	—	79	2	no	—
903	C₄×D₄	—	79	2	no	—
904	C₄×D₄	—	79	2	no	—
905	C₄×D₄	—	158	1	no	—
906	C₄×D₄	—	158	1	no	—
907	C₄×D₄	—	158	1	no	—
908	C₄×D₄	—	158	2	no	—
909	C₄×D₄	—	158	2	no	—
910	C₄×D₄	—	158	2	no	—
911	C₄×D₄	—	158	2	no	—
912	#117	—	79	1	no	—
913	#117	—	79	2	no	—
914	#117	—	158	2	no	—
915	#117	—	158	1	no	—
916	#117	C₂²×D₇₉	1	1	yes	characteristic
917	#117	C₂²×D₇₉	1	1	yes	characteristic
918	C₂×C₄⋊C₄	—	79	1	no	—
919	C₂×C₄⋊C₄	—	79	1	no	—
920	C₂×C₄⋊C₄	—	79	2	no	—
921	C₂×C₄⋊C₄	—	79	2	no	—
922	C₂×C₄⋊C₄	—	79	2	no	—
923	C₂×C₄⋊C₄	—	158	1	no	—
924	C₂×C₄⋊C₄	—	158	1	no	—
925	C₂×C₄⋊C₄	—	158	1	no	—
926	C₂×C₄⋊C₄	—	158	1	no	—
927	C₂×C₂²⋊C₄	—	158	2	no	—
928	C₂×C₂²⋊C₄	—	158	2	no	—
929	C₂×C₂²⋊C₄	—	158	2	no	—
930	#107	—	79	2	no	—
931	#107	—	79	2	no	—
932	#107	C₂²×D₇₉	1	1	yes	characteristic, complemented
933	#107	C₂²×D₇₉	1	1	yes	characteristic, complemented
934	#106	—	79	2	no	—
935	#106	—	79	2	no	—
936	#106	C₂²×D₇₉	1	1	yes	characteristic, complemented
937	#106	C₂²×D₇₉	1	1	yes	characteristic, complemented
938	C₄⋊C₈	—	79	2	no	—
939	C₄⋊C₈	—	79	2	no	—
940	#103	—	79	2	no	—
941	#103	—	79	2	no	—
942	#103	C₂²×D₇₉	1	1	yes	characteristic, complemented
943	#103	C₂²×D₇₉	1	1	yes	characteristic, complemented
944	#103	C₂²×D₇₉	1	1	yes	characteristic, complemented
945	#103	C₂²×D₇₉	1	1	yes	characteristic, complemented
946	#102	—	79	2	no	—
947	#102	—	79	2	no	—
948	#102	—	79	2	no	—
949	#102	—	79	2	no	—
950	#102	—	79	2	no	—
951	#102	—	79	2	no	—
952	#102	—	79	2	no	—
953	#102	—	79	2	no	—
954	#102	—	79	2	no	—
955	#102	—	79	2	no	—
956	#102	—	79	2	no	—
957	#102	—	79	2	no	—
958	#102	—	79	2	no	—
959	#102	—	79	2	no	—
960	#102	C₂²×D₇₉	1	1	yes	characteristic, complemented
961	#102	C₂²×D₇₉	1	1	yes	characteristic, complemented
962	#102	C₂²×D₇₉	1	1	yes	characteristic, complemented
963	#102	C₂²×D₇₉	1	1	yes	characteristic, complemented
964	C₂²⋊C₈	—	79	2	no	—
965	C₂²⋊C₈	—	79	2	no	—
966	C₂²⋊C₈	—	79	2	no	—
967	C₂²⋊C₈	—	79	2	no	—
968	#97	—	79	2	no	—
969	C₄×C₈	—	79	2	no	—
970	C₂⁴	—	316	4	no	—
971	C₂⁴	—	632	2	no	—
972	C₂⁴	—	632	2	no	—
973	C₂⁴	—	158	2	no	—
974	C₂⁴	—	158	2	no	—
975	C₂⁴	—	158	2	no	—
976	C₂⁴	—	158	1	no	—
977	C₂⁴	—	158	1	no	—
978	C₂⁴	D₄×D₇₉	1	1	yes	characteristic
979	#41	—	2	2	no	—
980	#41	—	2	2	no	—
981	#41	—	2	2	no	—
982	#41	—	2	2	no	—
983	#41	—	316	4	no	—
984	#41	—	316	2	no	—
985	#41	—	632	4	no	—
986	#41	—	158	4	no	—
987	#41	—	158	2	no	—
988	#41	—	158	2	no	—
989	C₂×Q₈	—	79	1	no	—
990	C₂×Q₈	—	158	2	no	—
991	C₂×Q₈	C₂³×D₇₉	1	1	yes	characteristic
992	C₂×Q₈	C₂³×D₇₉	1	1	yes	characteristic
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	2	1	no	—
996	C₂×D₄	—	2	1	no	—
997	C₂×D₄	—	2	1	no	—
998	C₂×D₄	—	2	1	no	—
999	C₂×D₄	—	316	4	no	—
1000	C₂×D₄	—	316	4	no	—
1001	C₂×D₄	—	316	4	no	—
1002	C₂×D₄	—	316	2	no	—
1003	C₂×D₄	—	316	2	no	—
1004	C₂×D₄	—	316	4	no	—
1005	C₂×D₄	—	316	8	no	—
1006	C₂×D₄	—	316	2	no	—
1007	C₂×D₄	—	79	2	no	—
1008	C₂×D₄	—	79	2	no	—
1009	C₂×D₄	—	79	2	no	—
1010	C₂×D₄	—	79	4	no	—
1011	C₂×D₄	—	79	2	no	—
1012	C₂×D₄	—	79	2	no	—
1013	C₂×D₄	—	79	1	no	—
1014	C₂×D₄	—	632	4	no	—
1015	C₂×D₄	—	632	4	no	—
1016	C₂×D₄	—	158	2	no	—
1017	C₂×D₄	—	158	4	no	—
1018	C₂×D₄	—	158	4	no	—
1019	C₂×D₄	—	158	2	no	—
1020	C₂×D₄	—	158	2	no	—
1021	C₂×D₄	—	158	2	no	—
1022	C₂×D₄	—	158	2	no	—
1023	C₂×D₄	—	158	2	no	—
1024	C₂×D₄	—	158	4	no	—
1025	C₂×D₄	—	158	2	no	—
1026	C₂×D₄	—	158	2	no	—
1027	C₂×D₄	—	158	2	no	—
1028	C₂×D₄	—	158	2	no	—
1029	C₂×D₄	—	158	2	no	—
1030	C₂×D₄	—	158	2	no	—
1031	C₂×D₄	—	158	1	no	—
1032	C₂×D₄	—	158	1	no	—
1033	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1034	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	1	no	—
1038	C₂²×C₄	—	2	1	no	—
1039	C₂²×C₄	—	79	2	no	—
1040	C₂²×C₄	—	632	2	no	—
1041	C₂²×C₄	—	158	2	no	—
1042	C₂²×C₄	—	158	2	no	—
1043	C₂²×C₄	—	158	2	no	—
1044	C₂²×C₄	—	158	2	no	—
1045	C₂²×C₄	—	158	2	no	—
1046	C₂²×C₄	—	158	2	no	—
1047	C₂²×C₄	—	158	1	no	—
1048	C₂²×C₄	—	158	2	no	—
1049	C₂²×C₄	—	158	1	no	—
1050	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
1051	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
1052	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1056	Q₁₆	—	4	1	no	—
1057	SD₁₆	—	4	1	no	—
1058	SD₁₆	—	4	1	no	—
1059	SD₁₆	—	316	2	no	—
1060	SD₁₆	—	158	4	no	—
1061	D₈	—	4	1	no	—
1062	D₈	—	316	2	no	—
1063	D₈	—	158	4	no	—
1064	M₁₆	—	316	2	no	—
1065	M₁₆	—	158	2	no	—
1066	M₁₆	—	158	2	no	—
1067	C₂×C₈	—	2	2	no	—
1068	C₂×C₈	—	2	2	no	—
1069	C₂×C₈	—	4	1	no	—
1070	C₂×C₈	—	4	1	no	—
1071	C₂×C₈	—	4	1	no	—
1072	C₂×C₈	—	4	1	no	—
1073	C₂×C₈	—	316	2	no	—
1074	C₂×C₈	—	79	2	no	—
1075	C₂×C₈	—	79	2	no	—
1076	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
1077	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
1078	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
1079	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
1080	C₄⋊C₄	—	2	1	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	1	no	—
1084	C₄⋊C₄	—	79	2	no	—
1085	C₄⋊C₄	—	79	2	no	—
1086	C₄⋊C₄	—	79	1	no	—
1087	C₄⋊C₄	—	79	1	no	—
1088	C₄⋊C₄	—	79	2	no	—
1089	C₄⋊C₄	—	79	2	no	—
1090	C₄⋊C₄	—	158	2	no	—
1091	C₄⋊C₄	—	158	2	no	—
1092	C₄⋊C₄	—	158	2	no	—
1093	C₄⋊C₄	—	158	2	no	—
1094	C₄⋊C₄	—	158	2	no	—
1095	C₄⋊C₄	—	158	2	no	—
1096	C₄⋊C₄	—	158	1	no	—
1097	C₄⋊C₄	—	158	1	no	—
1098	C₄⋊C₄	—	158	2	no	—
1099	C₄⋊C₄	—	158	2	no	—
1100	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1101	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1102	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1103	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
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	—	79	2	no	—
1115	C₂²⋊C₄	—	79	2	no	—
1116	C₂²⋊C₄	—	79	2	no	—
1117	C₂²⋊C₄	—	79	2	no	—
1118	C₂²⋊C₄	—	79	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	—	158	2	no	—
1125	C₂²⋊C₄	—	158	2	no	—
1126	C₂²⋊C₄	—	158	2	no	—
1127	C₂²⋊C₄	—	158	2	no	—
1128	C₂²⋊C₄	—	158	2	no	—
1129	C₄²	—	2	1	no	—
1130	C₄²	—	2	1	no	—
1131	C₄²	—	79	2	no	—
1132	C₄²	—	158	2	no	—
1133	C₄²	—	158	2	no	—
1134	C₂³	—	2	2	no	—
1135	C₂³	—	2	2	no	—
1136	C₂³	—	2	2	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	2	1	no	—
1139	C₂³	—	316	4	no	—
1140	C₂³	—	316	4	no	—
1141	C₂³	—	316	4	no	—
1142	C₂³	—	316	2	no	—
1143	C₂³	—	316	4	no	—
1144	C₂³	—	316	4	no	—
1145	C₂³	—	79	2	no	—
1146	C₂³	—	632	1	no	—
1147	C₂³	—	632	2	no	—
1148	C₂³	—	632	1	no	—
1149	C₂³	—	632	1	no	—
1150	C₂³	—	632	2	no	—
1151	C₂³	—	632	1	no	—
1152	C₂³	—	632	16	no	—
1153	C₂³	—	632	2	no	—
1154	C₂³	—	632	2	no	—
1155	C₂³	—	158	2	no	—
1156	C₂³	—	158	2	no	—
1157	C₂³	—	158	4	no	—
1158	C₂³	C₂×D₄×D₇₉	1	1	yes	characteristic
1159	C₂³	C₂×D₄×D₇₉	1	1	yes	characteristic
1160	C₂³	C₂×D₄×D₇₉	1	1	yes	characteristic
1161	Q₈	—	2	1	no	—
1162	Q₈	—	2	1	no	—
1163	Q₈	—	2	1	no	—
1164	Q₈	—	2	1	no	—
1165	Q₈	—	632	2	no	—
1166	Q₈	—	158	2	no	—
1167	D₄	—	2	1	no	—
1168	D₄	—	2	1	no	—
1169	D₄	—	2	1	no	—
1170	D₄	—	2	1	no	—
1171	D₄	—	4	2	no	—
1172	D₄	—	4	2	no	—
1173	D₄	—	4	2	no	—
1174	D₄	—	4	2	no	—
1175	D₄	—	4	2	no	—
1176	D₄	—	4	2	no	—
1177	D₄	—	316	4	no	—
1178	D₄	—	316	4	no	—
1179	D₄	—	316	4	no	—
1180	D₄	—	316	4	no	—
1181	D₄	—	316	2	no	—
1182	D₄	—	79	4	no	—
1183	D₄	—	632	2	no	—
1184	D₄	—	632	2	no	—
1185	D₄	—	632	2	no	—
1186	D₄	—	632	2	no	—
1187	D₄	—	632	2	no	—
1188	D₄	—	158	4	no	—
1189	D₄	—	158	4	no	—
1190	D₄	—	158	4	no	—
1191	D₄	—	158	2	no	—
1192	D₄	—	158	2	no	—
1193	D₄	—	158	4	no	—
1194	D₄	—	158	2	no	—
1195	D₄	—	158	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	4	2	no	—
1210	C₂×C₄	—	4	2	no	—
1211	C₂×C₄	—	316	4	no	—
1212	C₂×C₄	—	316	4	no	—
1213	C₂×C₄	—	79	2	no	—
1214	C₂×C₄	—	79	2	no	—
1215	C₂×C₄	—	79	2	no	—
1216	C₂×C₄	—	632	2	no	—
1217	C₂×C₄	—	632	2	no	—
1218	C₂×C₄	—	632	2	no	—
1219	C₂×C₄	—	632	1	no	—
1220	C₂×C₄	—	632	2	no	—
1221	C₂×C₄	—	632	1	no	—
1222	C₂×C₄	—	632	2	no	—
1223	C₂×C₄	—	158	2	no	—
1224	C₂×C₄	—	158	2	no	—
1225	C₂×C₄	—	158	2	no	—
1226	C₂×C₄	—	158	2	no	—
1227	C₂×C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
1228	C₂×C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
1229	C₂×C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
1230	C₂×C₄	#41×D₇₉	1	2	yes	—
1231	C₂×C₄	#14579206	1	2	yes	—
1232	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1233	C₈	—	2	1	no	—
1234	C₈	—	2	1	no	—
1235	C₈	—	2	1	no	—
1236	C₈	—	2	1	no	—
1237	C₈	—	158	2	no	—
1238	C₈	—	158	2	no	—
1239	C₂²	—	2	8	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	—	4	1	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	—	4	1	no	—
1249	C₂²	—	4	1	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	316	2	no	—
1253	C₂²	—	316	2	no	—
1254	C₂²	—	316	2	no	—
1255	C₂²	—	316	2	no	—
1256	C₂²	—	316	2	no	—
1257	C₂²	—	632	4	no	—
1258	C₂²	—	632	8	no	—
1259	C₂²	—	632	8	no	—
1260	C₂²	—	632	4	no	—
1261	C₂²	—	158	4	no	—
1262	C₂²	—	158	2	no	—
1263	C₂²	—	158	2	no	—
1264	C₂²	—	158	2	no	—
1265	C₂²	—	1264	4	no	—
1266	C₂²	#19099202	1	2	yes	—
1267	C₂²	#19099365	1	2	yes	—
1268	C₂²	#19099370	1	2	yes	—
1269	C₂²	C₂²×D₄×D₇₉	1	1	yes	characteristic
1270	C₄	—	2	1	no	—
1271	C₄	—	2	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	316	2	no	—
1279	C₄	—	316	2	no	—
1280	C₄	—	158	2	no	—
1281	C₄	—	158	2	no	—
1282	C₄	—	158	2	no	—
1283	C₄	#19099202	1	2	yes	—
1284	C₄	C₂×#41×D₇₉	1	1	yes	characteristic
1285	C₄	C₂×#14579206	1	1	yes	characteristic
1286	C₂	—	2	2	no	—
1287	C₂	—	2	2	no	—
1288	C₂	—	2	2	no	—
1289	C₂	—	8	1	no	—
1290	C₂	—	8	1	no	—
1291	C₂	—	316	4	no	—
1292	C₂	—	316	2	no	—
1293	C₂	—	632	2	no	—
1294	C₂	C₂×#19099202	1	1	yes	characteristic
1295	C₂	C₂×#19099365	1	1	yes	characteristic
1296	C₂	C₂×#19099370	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇₉
commutator, cosocle	C₂×C₄×C₇₉	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₉
Fitting	C₇₉×#3050	C₂
socle	C₂²×C₇₉	C₂³×D₄
hypercenter	#3050	D₇₉
hypocenter	C₇₉	#61167
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3050

Complements

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

N	H ≅ G/N	type
1. #23777106	C₂	semidirect
2. #23777033	C₂	semidirect
3. #23775547	C₂	semidirect
4. #23775487	C₂	semidirect
5. #23775427	C₂	semidirect
6. #23775367	C₂	semidirect
7. #23775256	C₂	semidirect
8. #23775241	C₂	semidirect
9. #23775219	C₂	semidirect
10. #23775208	C₂	semidirect
11. #23773758	C₂	semidirect
12. #23773361	C₂	semidirect
13. #23773320	C₂	semidirect
14. #23773234	C₂	semidirect
15. #23773083	C₂	semidirect
16. #23772937	C₂	semidirect
17. #23772700	C₂	semidirect
18. #23772626	C₂	semidirect
19. #23772235	C₂	semidirect
20. #23772094	C₂	semidirect
21. #23771922	C₂	semidirect
22. C₂²×#14579083	C₂	semidirect
23. C₇₉×#3050	C₂	semidirect
27. C₂×#14579186	C₂²	semidirect
28. C₂×#14579167	C₂²	semidirect
29. #19099271	C₂²	semidirect
31. #19099265	C₂²	semidirect
33. #19099255	C₂²	semidirect
36. #19099213	C₂²	semidirect
45. #19099191	C₂²	semidirect
47. #19099141	C₂²	semidirect
54. #19099046	C₂²	semidirect
55. #19099043	C₂²	semidirect
57. C₂²×C₄⋊Dic₇₉	C₂²	semidirect
58. #19098926	C₂²	semidirect
59. #19098924	C₂²	semidirect
60. #19098919	C₂²	semidirect
61. #19098908	C₂²	semidirect
62. #19098896	C₂²	semidirect
63. #19098891	C₂²	semidirect
64. #19098890	C₂²	semidirect
65. #19098889	C₂²	semidirect
66. #19098883	C₂²	semidirect
67. #19098879	C₂²	semidirect
68. #19098878	C₂²	semidirect
69. #19098874	C₂²	semidirect
70. #19098866	C₂²	semidirect
71. #19098862	C₂²	semidirect
72. #19098852	C₂²	semidirect
73. #19098842	C₂²	semidirect
74. #19098815	C₂²	semidirect
75. #19098812	C₂²	semidirect
76. #19098798	C₂²	semidirect
77. #19098795	C₂²	semidirect
78. #19098787	C₂²	semidirect
79. #19098780	C₂²	semidirect
80. #19098761	C₂²	semidirect
81. #19098756	C₂²	semidirect
82. #19098724	C₂²	semidirect
83. #19098713	C₂²	semidirect
84. #19098713	C₂²	semidirect
85. #19098712	C₂²	semidirect
86. #19098707	C₂²	semidirect
87. #19098696	C₂²	semidirect
88. #19098696	C₂²	semidirect
89. #19098695	C₂²	semidirect
90. #19098672	C₂²	semidirect
91. #19098666	C₂²	semidirect
92. #19098648	C₂²	semidirect
93. #19098643	C₂²	semidirect
94. #19098634	C₂²	semidirect
95. #19098634	C₂²	semidirect
96. C₈×C₂²⋊D₇₉	C₂²	semidirect
97. C₈×C₂²⋊D₇₉	C₂²	semidirect
98. #19098606	C₂²	semidirect
99. #19098606	C₂²	semidirect
100. #19098589	C₂²	semidirect
102. #19098567	C₂²	semidirect
103. #19098566	C₂²	semidirect
104. #19098564	C₂²	semidirect
105. #19098564	C₂²	semidirect
106. #19098563	C₂²	semidirect
107. #19098558	C₂²	semidirect
110. C₂×#14579083	C₂²	semidirect
111. C₂×#14579083	C₂²	semidirect
112. C₂×#14579083	C₂²	semidirect
113. C₂×#14579083	C₂²	semidirect
114. C₂×#14579083	C₂²	semidirect
115. C₂×#14579083	C₂²	semidirect
116. #102×D₇₉	C₂²	semidirect
117. #19098529	C₂²	semidirect
118. #19098527	C₂²	semidirect
119. #19098518	C₂²	semidirect
120. C₂×#135×C₇₉	C₂²	semidirect
121. C₂³×C₈×C₇₉	C₂²	semidirect
123. #525×C₇₉	C₂²	semidirect
124. #467×C₇₉	C₂²	semidirect
125. #467×C₇₉	C₂²	semidirect
126. #466×C₇₉	C₂²	semidirect
127. #466×C₇₉	C₂²	semidirect
128. #465×C₇₉	C₂²	semidirect
129. #465×C₇₉	C₂²	semidirect
130. #465×C₇₉	C₂²	semidirect
131. #465×C₇₉	C₂²	semidirect
132. #427×C₇₉	C₂²	semidirect
133. #416×C₇₉	C₂²	semidirect
134. #416×C₇₉	C₂²	semidirect
166. C₂×#11929607	C₂³	semidirect
167. C₂×C₈×D₇₉	C₂³	semidirect
169. #14579160	C₂³	semidirect
176. #14579152	C₂³	semidirect
194. #14579137	C₂³	semidirect
208. #14579132	C₂³	semidirect
218. Q₈×Dic₇₉	C₂³	semidirect
225. D₄×Dic₇₉	C₂³	semidirect
234. #14579119	C₂³	semidirect
244. C₄⋊C₄×D₇₉	C₂³	semidirect
248. #14579094	C₂³	semidirect
249. #14579094	C₂³	semidirect
250. #14579092	C₂³	semidirect
251. #14579092	C₂³	semidirect
252. Dic₇₉⋊C₈	C₂³	semidirect
253. Dic₇₉⋊C₈	C₂³	semidirect
254. #14579085	C₂³	semidirect
255. #14579085	C₂³	semidirect
264. #14579082	C₂³	semidirect
265. #14579082	C₂³	semidirect
272. (C₂×D₇₉)⋊C₈	C₂³	semidirect
273. (C₂×D₇₉)⋊C₈	C₂³	semidirect
274. #14579071	C₂³	semidirect
275. C₈×Dic₇₉	C₂³	semidirect
280. C₂×Q₁₆×C₇₉	C₂³	semidirect
281. C₂×SD₁₆×C₇₉	C₂³	semidirect
282. C₂×SD₁₆×C₇₉	C₂³	semidirect
283. C₂×D₈×C₇₉	C₂³	semidirect
309. #107×C₇₉	C₂³	semidirect
310. #107×C₇₉	C₂³	semidirect
311. #106×C₇₉	C₂³	semidirect
312. #106×C₇₉	C₂³	semidirect
313. #103×C₇₉	C₂³	semidirect
314. #103×C₇₉	C₂³	semidirect
315. #103×C₇₉	C₂³	semidirect
316. #103×C₇₉	C₂³	semidirect
317. #102×C₇₉	C₂³	semidirect
318. #102×C₇₉	C₂³	semidirect
319. #102×C₇₉	C₂³	semidirect
320. #102×C₇₉	C₂³	semidirect
356. C₂×D₃₁₆	#41	semidirect
664. #3050	D₇₉	semidirect
672. C₇₉	#61167	semidirect
677. C₂×#135	C₂×D₇₉	semidirect
679. C₂³×C₈	C₂×D₇₉	semidirect
705. #525	C₂×D₇₉	semidirect
729. #467	C₂×D₇₉	semidirect
730. #467	C₂×D₇₉	semidirect
732. #466	C₂×D₇₉	semidirect
733. #466	C₂×D₇₉	semidirect
735. #465	C₂×D₇₉	semidirect
736. #465	C₂×D₇₉	semidirect
737. #465	C₂×D₇₉	semidirect
738. #465	C₂×D₇₉	semidirect
761. #427	C₂×D₇₉	semidirect
770. #416	C₂×D₇₉	semidirect
771. #416	C₂×D₇₉	semidirect
812. C₂×Q₁₆	C₂²×D₇₉	semidirect
815. C₂×SD₁₆	C₂²×D₇₉	semidirect
816. C₂×SD₁₆	C₂²×D₇₉	semidirect
819. C₂×D₈	C₂²×D₇₉	semidirect
932. #107	C₂²×D₇₉	semidirect
933. #107	C₂²×D₇₉	semidirect
936. #106	C₂²×D₇₉	semidirect
937. #106	C₂²×D₇₉	semidirect
942. #103	C₂²×D₇₉	semidirect
943. #103	C₂²×D₇₉	semidirect
944. #103	C₂²×D₇₉	semidirect
945. #103	C₂²×D₇₉	semidirect
960. #102	C₂²×D₇₉	semidirect
961. #102	C₂²×D₇₉	semidirect
962. #102	C₂²×D₇₉	semidirect
963. #102	C₂²×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#23777106	2
#23777033	2
#23775547	2
#23775487	2
#23775427	2
#23775367	2
#23775256	2
#23775241	2
#23775219	2
#23775208	2
#23773758	2
#23773361	2
#23773320	2
#23773234	2
#23773083	2
#23772937	2
#23772700	2
#23772626	2
#23772235	2
#23772094	2
#23771922	2
C₂²×#14579083	2
C₇₉×#3050	2
#61167	79