Subgroups — #3222×D₇₉ #35159604

Order 20224.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1192 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#541×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#535×D₇₉	C₂	1	1	yes	maximal, characteristic
3	#23774475	C₂	1	1	yes	maximal, characteristic, complemented
4	#23774474	C₂	1	1	yes	maximal, characteristic, complemented
5	#23774473	C₂	1	1	yes	maximal, characteristic, complemented
6	#23774472	C₂	1	1	yes	maximal, characteristic, complemented
7	#23774471	C₂	1	2	yes	maximal, complemented
8	#23774470	C₂	1	2	yes	maximal, complemented
9	#23774469	C₂	1	2	yes	maximal, complemented
10	#23774468	C₂	1	2	yes	maximal, complemented
11	#23774467	C₂	1	1	yes	maximal, characteristic, complemented
12	#23774466	C₂	1	1	yes	maximal, characteristic, complemented
13	#23774465	C₂	1	1	yes	maximal, characteristic, complemented
14	#497×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#492×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#490×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#488×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#464×D₇₉	C₂	1	2	yes	maximal, complemented
19	#460×D₇₉	C₂	1	2	yes	maximal, complemented
20	#452×D₇₉	C₂	1	2	yes	maximal, complemented
21	#450×D₇₉	C₂	1	2	yes	maximal, complemented
22	#433×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₉×#3222	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₇₉	C₂²	1	1	yes	characteristic
25	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
26	C₂×Q₁₆×D₇₉	C₂²	1	2	yes	complemented
27	C₂×SD₁₆×D₇₉	C₂²	1	2	yes	—
28	C₂×SD₁₆×D₇₉	C₂²	1	2	yes	—
29	C₂×SD₁₆×D₇₉	C₂²	1	2	yes	complemented
30	#19099176	C₂²	1	1	yes	characteristic, complemented
31	#19099175	C₂²	1	1	yes	characteristic, complemented
32	#19099174	C₂²	1	1	yes	characteristic, complemented
33	#19099173	C₂²	1	2	yes	complemented
34	#19099172	—	2	2	no	—
35	#19099171	C₂²	1	2	yes	complemented
36	#19099170	—	2	2	no	—
37	#19099132	C₂²	1	1	yes	characteristic
38	#19099131	C₂²	1	1	yes	characteristic
39	#19099131	C₂²	1	1	yes	characteristic
40	#19099130	C₂²	1	1	yes	characteristic
41	#19099129	—	2	2	no	—
42	#19099128	—	2	2	no	—
43	#19099127	C₂²	1	1	yes	characteristic
44	#19099126	C₂²	1	1	yes	characteristic
45	#19099126	C₂²	1	1	yes	characteristic
46	C₄⋊Q₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
47	#127×D₇₉	C₂²	1	1	yes	characteristic
48	#127×D₇₉	C₂²	1	1	yes	characteristic
49	#126×D₇₉	—	2	2	no	—
50	#125×D₇₉	—	2	2	no	—
51	#125×D₇₉	C₂²	1	1	yes	characteristic, complemented
52	#124×D₇₉	C₂²	1	1	yes	characteristic
53	#124×D₇₉	C₂²	1	1	yes	characteristic
54	C₂²⋊Q₈×D₇₉	C₂²	1	2	yes	—
55	#121×D₇₉	—	2	2	no	—
56	#120×D₇₉	—	2	2	no	—
57	C₄×Q₈×D₇₉	C₂²	1	2	yes	complemented
58	#117×D₇₉	C₂²	1	1	yes	characteristic
59	#19098958	C₂²	1	1	yes	characteristic, complemented
60	#19098957	C₂²	1	1	yes	characteristic, complemented
61	#19098956	C₂²	1	2	yes	complemented
62	#19098955	C₂²	1	1	yes	characteristic, complemented
63	#19098954	C₂²	1	2	yes	complemented
64	#19098937	C₂²	1	1	yes	characteristic, complemented
65	#19098936	C₂²	1	1	yes	characteristic, complemented
66	#19098935	C₂²	1	1	yes	characteristic, complemented
67	#19098934	C₂²	1	2	yes	complemented
68	#19098934	C₂²	1	2	yes	complemented
69	#19098929	C₂²	1	1	yes	characteristic, complemented
70	#19098928	C₂²	1	1	yes	characteristic, complemented
71	#19098927	C₂²	1	1	yes	characteristic, complemented
72	#19098926	C₂²	1	2	yes	complemented
73	#19098926	C₂²	1	2	yes	complemented
74	#19098920	C₂²	1	1	yes	characteristic, complemented
75	#19098919	C₂²	1	2	yes	complemented
76	#19098918	C₂²	1	1	yes	characteristic, complemented
77	#19098917	C₂²	1	1	yes	characteristic, complemented
78	#19098916	C₂²	1	2	yes	complemented
79	#19098788	C₂²	1	2	yes	complemented
80	#19098787	C₂²	1	2	yes	complemented
81	#19098786	C₂²	1	2	yes	complemented
82	#19098785	C₂²	1	2	yes	complemented
83	#19098784	C₂²	1	2	yes	complemented
84	#19098783	C₂²	1	2	yes	complemented
85	#19098782	C₂²	1	2	yes	complemented
86	#19098764	C₂²	1	2	yes	complemented
87	#19098763	C₂²	1	2	yes	complemented
88	#19098762	C₂²	1	2	yes	complemented
89	#19098762	C₂²	1	2	yes	complemented
90	#19098761	C₂²	1	2	yes	complemented
91	#19098761	C₂²	1	2	yes	complemented
92	#19098760	C₂²	1	2	yes	complemented
93	#19098728	C₂²	1	2	yes	complemented
94	#19098727	C₂²	1	2	yes	complemented
95	#19098726	C₂²	1	2	yes	complemented
96	#19098725	C₂²	1	2	yes	complemented
97	#19098724	C₂²	1	2	yes	complemented
98	#19098723	C₂²	1	2	yes	complemented
99	#19098722	C₂²	1	2	yes	complemented
100	#19098716	C₂²	1	2	yes	complemented
101	#19098715	C₂²	1	2	yes	complemented
102	#19098715	C₂²	1	2	yes	complemented
103	#19098714	C₂²	1	2	yes	complemented
104	#19098713	C₂²	1	2	yes	complemented
105	#19098712	C₂²	1	2	yes	complemented
106	#19098712	C₂²	1	2	yes	complemented
107	#19098625	C₂²	1	1	yes	characteristic, complemented
108	#19098624	C₂²	1	1	yes	characteristic, complemented
109	#19098623	C₂²	1	2	yes	complemented
110	#19098622	C₂²	1	1	yes	characteristic, complemented
111	#19098621	C₂²	1	2	yes	complemented
112	C₄⋊C₈×D₇₉	C₂²	1	2	yes	complemented
113	#103×D₇₉	C₂²	1	2	yes	complemented
114	#102×D₇₉	C₂²	1	2	yes	—
115	#102×D₇₉	C₂²	1	2	yes	—
116	#102×D₇₉	C₂²	1	2	yes	complemented
117	C₂²⋊C₈×D₇₉	C₂²	1	2	yes	—
118	#97×D₇₉	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
120	#541×C₇₉	C₂²	1	1	yes	characteristic, complemented
121	#535×C₇₉	C₂²	1	1	yes	characteristic
122	#497×C₇₉	C₂²	1	1	yes	characteristic, complemented
123	#492×C₇₉	C₂²	1	1	yes	characteristic, complemented
124	#490×C₇₉	C₂²	1	1	yes	characteristic, complemented
125	#488×C₇₉	C₂²	1	1	yes	characteristic, complemented
126	#464×C₇₉	C₂²	1	2	yes	complemented
127	#460×C₇₉	C₂²	1	2	yes	complemented
128	#452×C₇₉	C₂²	1	2	yes	complemented
129	#450×C₇₉	C₂²	1	2	yes	complemented
130	#433×C₇₉	C₂²	1	1	yes	characteristic, complemented
131	C₂⁴×D₇₉	—	2	1	no	—
132	C₂×#11929625	C₂³	1	1	yes	characteristic
133	C₂×#11929624	—	2	1	no	—
134	C₂×#11929624	C₂³	1	1	yes	characteristic
135	C₂×#11929623	—	2	1	no	—
136	C₂×#11929623	C₂³	1	1	yes	characteristic
137	#41×D₇₉	—	4	4	no	—
138	C₂×Q₈×D₇₉	C₂³	1	2	yes	—
139	C₂×Q₈×D₇₉	C₂³	1	1	yes	characteristic
140	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
141	C₂²×C₂²⋊D₇₉	—	2	1	no	—
142	C₂×D₄×D₇₉	—	2	1	no	—
143	C₂×D₄×D₇₉	—	2	1	no	—
144	C₂×D₄×D₇₉	—	2	1	no	—
145	C₂×D₄×D₇₉	—	2	2	no	—
146	C₂×D₄×D₇₉	—	2	2	no	—
147	C₂×D₄×D₇₉	—	4	4	no	—
148	C₂×D₄×D₇₉	C₂³	1	1	yes	characteristic
149	C₂×D₄×D₇₉	C₂³	1	1	yes	characteristic
150	C₂×D₄×D₇₉	C₂³	1	1	yes	characteristic
151	C₂×D₄×D₇₉	C₂³	1	1	yes	characteristic
152	C₂×D₄×D₇₉	C₂³	1	1	yes	characteristic
153	C₂²×C₄×D₇₉	—	2	1	no	—
154	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
155	C₂×Dic₃₁₆	C₂³	1	2	yes	complemented
156	C₂×#11929614	C₂³	1	2	yes	complemented
157	C₂×#11929614	C₂³	1	2	yes	complemented
158	Q₁₆×D₇₉	—	4	4	no	—
159	C₂×#11929613	C₂³	1	2	yes	—
160	C₂×#11929613	C₂³	1	2	yes	—
161	C₂×#11929613	C₂³	1	2	yes	complemented
162	C₂×#11929612	C₂³	1	2	yes	—
163	C₂×#11929612	C₂³	1	2	yes	—
164	C₂×#11929612	C₂³	1	2	yes	complemented
165	C₂×#11929611	C₂³	1	2	yes	—
166	C₂×#11929611	C₂³	1	2	yes	—
167	C₂×#11929611	C₂³	1	2	yes	complemented
168	SD₁₆×D₇₉	—	4	4	no	—
169	SD₁₆×D₇₉	—	4	4	no	—
170	SD₁₆×D₇₉	—	4	4	no	—
171	C₂×C₈×D₇₉	C₂³	1	2	yes	—
172	C₂×C₈×D₇₉	C₂³	1	2	yes	—
173	#14579161	C₂³	1	1	yes	characteristic, complemented
174	#14579160	—	2	2	no	—
175	#14579159	C₂³	1	2	yes	complemented
176	#14579158	C₂³	1	1	yes	characteristic
177	#14579158	C₂³	1	1	yes	characteristic
178	#14579157	—	2	2	no	—
179	#14579157	—	2	2	no	—
180	#14579157	C₂³	1	1	yes	characteristic
181	#14579157	C₂³	1	1	yes	characteristic
182	#14579157	C₂³	1	1	yes	characteristic
183	#14579157	C₂³	1	1	yes	characteristic
184	#14579156	—	2	2	no	—
185	#14579156	—	2	2	no	—
186	#14579156	—	2	2	no	—
187	#14579155	—	2	2	no	—
188	#14579154	—	2	2	no	—
189	#14579154	—	2	2	no	—
190	#14579154	—	2	2	no	—
191	#14579153	—	2	2	no	—
192	#14579153	C₂³	1	1	yes	characteristic, complemented
193	#14579152	—	2	2	no	—
194	#14579152	—	2	2	no	—
195	#14579152	C₂³	1	2	yes	complemented
196	#14579151	—	2	2	no	—
197	#14579151	—	2	2	no	—
198	#14579151	—	2	2	no	—
199	#14579151	—	2	2	no	—
200	#14579151	—	2	2	no	—
201	#14579150	C₂³	1	1	yes	characteristic
202	#14579150	C₂³	1	1	yes	characteristic
203	#14579149	C₂³	1	1	yes	characteristic
204	#14579149	C₂³	1	1	yes	characteristic
205	#14579148	C₂³	1	1	yes	characteristic
206	#14579148	C₂³	1	1	yes	characteristic
207	#14579147	—	2	2	no	—
208	#14579147	—	2	2	no	—
209	#14579141	C₂³	1	2	yes	—
210	#14579140	C₂³	1	2	yes	—
211	#14579139	—	2	2	no	—
212	#14579138	—	2	2	no	—
213	#14579137	C₂³	1	2	yes	—
214	#14579136	—	2	2	no	—
215	#14579135	—	2	2	no	—
216	#14579134	—	2	2	no	—
217	#14579134	—	2	2	no	—
218	#14579133	—	2	2	no	—
219	#14579133	—	2	2	no	—
220	#14579132	—	2	2	no	—
221	#14579131	—	2	2	no	—
222	#14579131	—	2	2	no	—
223	#14579131	—	2	2	no	—
224	#14579130	—	2	2	no	—
225	#14579129	—	2	2	no	—
226	#14579129	—	2	2	no	—
227	#14579129	—	2	2	no	—
228	Q₈×Dic₇₉	C₂³	1	2	yes	complemented
229	C₄×Dic₁₅₈	—	2	2	no	—
230	C₄×Dic₁₅₈	C₂³	1	2	yes	complemented
231	#14579126	—	2	2	no	—
232	#14579126	C₂³	1	2	yes	complemented
233	#14579120	C₂³	1	1	yes	characteristic
234	#14579119	D₄	1	2	yes	—
235	#14579118	C₂³	1	1	yes	characteristic
236	#14579118	C₂³	1	1	yes	characteristic
237	#14579117	D₄	1	2	yes	—
238	C₄⋊C₄×D₇₉	—	2	2	no	—
239	C₄⋊C₄×D₇₉	—	2	2	no	—
240	C₄⋊C₄×D₇₉	—	2	2	no	—
241	C₄⋊C₄×D₇₉	—	2	2	no	—
242	C₄⋊C₄×D₇₉	D₄	1	2	yes	—
243	C₄⋊C₄×D₇₉	C₂³	1	2	yes	—
244	C₂²⋊C₄×D₇₉	—	2	2	no	—
245	C₂²⋊C₄×D₇₉	—	2	2	no	—
246	C₂²⋊C₄×D₇₉	—	2	2	no	—
247	C₂²⋊C₄×D₇₉	D₄	1	2	yes	—
248	C₄²×D₇₉	—	2	2	no	—
249	C₄²×D₇₉	C₂³	1	1	yes	characteristic
250	C₄²×D₇₉	C₂³	1	1	yes	characteristic
251	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	complemented
252	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
253	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
254	#14579086	C₂³	1	2	yes	complemented
255	#14579085	C₂³	1	2	yes	complemented
256	#14579084	C₂³	1	2	yes	complemented
257	#14579083	C₂³	1	2	yes	—
258	#14579083	C₂³	1	2	yes	—
259	#14579083	C₂³	1	2	yes	complemented
260	#14579082	C₂³	1	2	yes	—
261	#14579082	C₂³	1	2	yes	—
262	#14579082	C₂³	1	2	yes	complemented
263	#14579081	C₂³	1	2	yes	—
264	#14579081	C₂³	1	2	yes	—
265	#14579081	C₂³	1	2	yes	complemented
266	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
267	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
268	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
269	#14579072	C₂³	1	1	yes	characteristic, complemented
270	#14579071	C₂³	1	2	yes	complemented
271	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic, complemented
272	C₈×Dic₇₉	C₂³	1	2	yes	complemented
273	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
274	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
275	C₂×Q₁₆×C₇₉	C₂³	1	2	yes	complemented
276	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
277	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
278	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	complemented
279	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic, complemented
280	#127×C₇₉	C₂³	1	1	yes	characteristic
281	#127×C₇₉	C₂³	1	1	yes	characteristic
282	#126×C₇₉	—	2	2	no	—
283	#125×C₇₉	—	2	2	no	—
284	#125×C₇₉	C₂³	1	1	yes	characteristic, complemented
285	#124×C₇₉	C₂³	1	1	yes	characteristic
286	#124×C₇₉	C₂³	1	1	yes	characteristic
287	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
288	#121×C₇₉	—	2	2	no	—
289	#120×C₇₉	—	2	2	no	—
290	C₄×Q₈×C₇₉	C₂³	1	2	yes	complemented
291	#117×C₇₉	C₂³	1	1	yes	characteristic
292	C₄⋊C₈×C₇₉	C₂³	1	2	yes	complemented
293	#103×C₇₉	C₂³	1	2	yes	complemented
294	#102×C₇₉	C₂³	1	2	yes	—
295	#102×C₇₉	C₂³	1	2	yes	—
296	#102×C₇₉	C₂³	1	2	yes	complemented
297	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
298	#97×C₇₉	C₂³	1	1	yes	characteristic, complemented
299	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic, complemented
300	C₂³×D₇₉	—	2	1	no	—
301	C₂³×D₇₉	—	2	1	no	—
302	C₂³×D₇₉	—	2	1	no	—
303	C₂³×D₇₉	—	2	1	no	—
304	C₂³×D₇₉	—	2	1	no	—
305	C₂³×D₇₉	—	2	1	no	—
306	C₂³×D₇₉	—	4	4	no	—
307	C₂³×D₇₉	—	8	4	no	—
308	C₂³×D₇₉	C₂×D₄	1	1	yes	characteristic
309	#11929625	—	4	2	no	—
310	#11929624	—	4	2	no	—
311	#11929624	—	4	4	no	—
312	#11929623	—	4	2	no	—
313	#11929623	—	4	4	no	—
314	C₂×Dic₁₅₈	—	2	1	no	—
315	C₂×Dic₁₅₈	—	2	2	no	—
316	C₂×Dic₁₅₈	C₂⁴	1	1	yes	characteristic
317	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
318	Q₈×D₇₉	—	2	4	no	—
319	Q₈×D₇₉	—	2	4	no	—
320	Q₈×D₇₉	—	2	4	no	—
321	C₂×D₃₁₆	—	2	1	no	—
322	C₂×D₃₁₆	—	2	1	no	—
323	C₂×D₃₁₆	—	2	2	no	—
324	C₂×D₃₁₆	—	2	2	no	—
325	C₂×D₃₁₆	—	4	2	no	—
326	C₂×D₃₁₆	C₂⁴	1	1	yes	characteristic
327	C₂×D₃₁₆	C₂⁴	1	1	yes	characteristic
328	C₂×D₃₁₆	C₂⁴	1	1	yes	characteristic
329	C₂×C₂²⋊D₇₉	—	2	1	no	—
330	C₂×C₂²⋊D₇₉	—	2	1	no	—
331	C₂×C₂²⋊D₇₉	—	2	1	no	—
332	C₂×C₂²⋊D₇₉	—	2	1	no	—
333	C₂×C₂²⋊D₇₉	—	2	1	no	—
334	C₂×C₂²⋊D₇₉	—	2	1	no	—
335	C₂×C₂²⋊D₇₉	—	2	1	no	—
336	C₂×C₂²⋊D₇₉	—	2	2	no	—
337	C₂×C₂²⋊D₇₉	—	2	2	no	—
338	C₂×C₂²⋊D₇₉	—	2	2	no	—
339	C₂×C₂²⋊D₇₉	—	2	2	no	—
340	C₂×C₂²⋊D₇₉	—	4	4	no	—
341	D₄×D₇₉	—	2	4	no	—
342	D₄×D₇₉	—	2	4	no	—
343	D₄×D₇₉	—	2	4	no	—
344	D₄×D₇₉	—	4	2	no	—
345	D₄×D₇₉	—	4	2	no	—
346	D₄×D₇₉	—	4	4	no	—
347	D₄×D₇₉	—	4	4	no	—
348	D₄×D₇₉	—	4	4	no	—
349	D₄×D₇₉	—	8	4	no	—
350	D₄×D₇₉	—	8	4	no	—
351	C₂²×Dic₇₉	—	2	1	no	—
352	C₂²×Dic₇₉	C₂×D₄	1	1	yes	characteristic
353	C₂×C₄×D₇₉	—	2	4	no	—
354	C₂×C₄×D₇₉	—	2	1	no	—
355	C₂×C₄×D₇₉	—	2	2	no	—
356	C₂×C₄×D₇₉	—	2	1	no	—
357	C₂×C₄×D₇₉	—	2	2	no	—
358	C₂×C₄×D₇₉	—	2	1	no	—
359	C₂×C₄×D₇₉	—	4	4	no	—
360	C₂×C₄×D₇₉	C₂×D₄	1	1	yes	characteristic
361	C₂×C₄×D₇₉	C₂×D₄	1	2	yes	—
362	C₂×C₄×D₇₉	C₂×D₄	1	2	yes	—
363	C₂×C₄×D₇₉	C₂×D₄	1	1	yes	characteristic
364	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
365	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
366	Dic₃₁₆	—	4	2	no	—
367	#11929614	—	4	2	no	—
368	#11929614	—	4	2	no	—
369	#11929613	—	4	2	no	—
370	#11929613	—	4	2	no	—
371	#11929613	—	4	2	no	—
372	#11929612	—	4	2	no	—
373	#11929612	—	4	2	no	—
374	#11929612	—	4	2	no	—
375	#11929611	—	4	2	no	—
376	#11929611	—	4	2	no	—
377	#11929611	—	4	2	no	—
378	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
379	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
380	C₈×D₇₉	—	2	4	no	—
381	C₈×D₇₉	—	2	4	no	—
382	C₄⋊Dic₇₉	—	2	2	no	—
383	C₄⋊Dic₇₉	—	2	2	no	—
384	C₄⋊Dic₇₉	—	2	2	no	—
385	C₄⋊Dic₇₉	—	2	2	no	—
386	C₄⋊Dic₇₉	C₂×D₄	1	2	yes	—
387	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
388	Dic₇₉⋊C₄	—	2	2	no	—
389	Dic₇₉⋊C₄	—	2	2	no	—
390	Dic₇₉⋊C₄	—	2	2	no	—
391	Dic₇₉⋊C₄	—	2	2	no	—
392	Dic₇₉⋊C₄	—	2	2	no	—
393	Dic₇₉⋊C₄	—	2	2	no	—
394	Dic₇₉⋊C₄	—	2	2	no	—
395	Dic₇₉⋊C₄	—	2	2	no	—
396	Dic₇₉⋊C₄	—	2	2	no	—
397	Dic₇₉⋊C₄	C₂×D₄	1	2	yes	—
398	Dic₇₉⋊C₄	C₂×D₄	1	2	yes	—
399	C₂²⋊Dic₇₉	—	2	2	no	—
400	C₂²⋊Dic₇₉	—	2	2	no	—
401	C₂²⋊Dic₇₉	—	2	2	no	—
402	C₂²⋊Dic₇₉	C₂×D₄	1	2	yes	—
403	(C₂×D₇₉)⋊C₄	—	2	2	no	—
404	(C₂×D₇₉)⋊C₄	—	2	2	no	—
405	(C₂×D₇₉)⋊C₄	—	2	2	no	—
406	(C₂×D₇₉)⋊C₄	—	2	2	no	—
407	(C₂×D₇₉)⋊C₄	—	2	2	no	—
408	(C₂×D₇₉)⋊C₄	—	2	2	no	—
409	(C₂×D₇₉)⋊C₄	C₂×D₄	1	2	yes	—
410	(C₂×D₇₉)⋊C₄	C₂×D₄	1	2	yes	—
411	C₄×Dic₇₉	—	2	2	no	—
412	C₄×Dic₇₉	—	2	2	no	—
413	C₄×Dic₇₉	—	2	2	no	—
414	C₄×Dic₇₉	C₂×D₄	1	2	yes	—
415	C₄×Dic₇₉	C₂×D₄	1	2	yes	—
416	C₄×Dic₇₉	C₂⁴	1	1	yes	characteristic
417	C₄×Dic₇₉	C₂⁴	1	1	yes	characteristic
418	C₂⁴×C₇₉	—	2	1	no	—
419	#41×C₇₉	—	4	2	no	—
420	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
421	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
422	C₂×D₄×C₇₉	—	2	1	no	—
423	C₂×D₄×C₇₉	—	2	1	no	—
424	C₂×D₄×C₇₉	—	2	2	no	—
425	C₂×D₄×C₇₉	—	2	2	no	—
426	C₂×D₄×C₇₉	—	4	2	no	—
427	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
428	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
429	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₇₉	—	2	1	no	—
431	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
432	Q₁₆×C₇₉	—	4	2	no	—
433	SD₁₆×C₇₉	—	4	2	no	—
434	SD₁₆×C₇₉	—	4	2	no	—
435	SD₁₆×C₇₉	—	4	2	no	—
436	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
437	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
438	C₄⋊C₄×C₇₉	—	2	2	no	—
439	C₄⋊C₄×C₇₉	—	2	2	no	—
440	C₄⋊C₄×C₇₉	—	2	2	no	—
441	C₄⋊C₄×C₇₉	—	2	2	no	—
442	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
443	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
444	C₂²⋊C₄×C₇₉	—	2	2	no	—
445	C₂²⋊C₄×C₇₉	—	2	2	no	—
446	C₂²⋊C₄×C₇₉	—	2	2	no	—
447	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
448	C₄²×C₇₉	—	2	2	no	—
449	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
450	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
451	C₂³×C₇₉	—	2	1	no	—
452	C₂³×C₇₉	—	2	1	no	—
453	C₂³×C₇₉	—	2	1	no	—
454	C₂³×C₇₉	—	4	2	no	—
455	C₂³×C₇₉	—	8	2	no	—
456	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
457	C₂²×D₇₉	—	2	2	no	—
458	C₂²×D₇₉	—	2	4	no	—
459	C₂²×D₇₉	—	2	1	no	—
460	C₂²×D₇₉	—	2	1	no	—
461	C₂²×D₇₉	—	2	1	no	—
462	C₂²×D₇₉	—	4	2	no	—
463	C₂²×D₇₉	—	4	2	no	—
464	C₂²×D₇₉	—	4	2	no	—
465	C₂²×D₇₉	—	4	2	no	—
466	C₂²×D₇₉	—	4	2	no	—
467	C₂²×D₇₉	—	4	2	no	—
468	C₂²×D₇₉	—	4	4	no	—
469	C₂²×D₇₉	—	4	4	no	—
470	C₂²×D₇₉	—	4	4	no	—
471	C₂²×D₇₉	—	8	2	no	—
472	C₂²×D₇₉	—	8	2	no	—
473	C₂²×D₇₉	—	8	2	no	—
474	C₂²×D₇₉	—	8	16	no	—
475	C₂²×D₇₉	C₂²×D₄	1	1	yes	characteristic
476	C₂²×D₇₉	C₂²×D₄	1	1	yes	characteristic
477	Q₈×C₇₉	—	2	2	no	—
478	Q₈×C₇₉	—	2	2	no	—
479	Q₈×C₇₉	—	2	2	no	—
480	D₄×C₇₉	—	2	2	no	—
481	D₄×C₇₉	—	2	2	no	—
482	D₄×C₇₉	—	2	2	no	—
483	D₄×C₇₉	—	4	2	no	—
484	D₄×C₇₉	—	4	2	no	—
485	D₄×C₇₉	—	8	2	no	—
486	D₄×C₇₉	—	8	2	no	—
487	C₂×C₄×C₇₉	—	2	2	no	—
488	C₂×C₄×C₇₉	—	2	2	no	—
489	C₂×C₄×C₇₉	—	2	2	no	—
490	C₂×C₄×C₇₉	—	2	1	no	—
491	C₂×C₄×C₇₉	—	4	2	no	—
492	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
493	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
494	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
495	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
496	C₂²⋊D₇₉	—	4	2	no	—
497	C₂²⋊D₇₉	—	4	2	no	—
498	C₂²⋊D₇₉	—	4	2	no	—
499	C₂²⋊D₇₉	—	4	2	no	—
500	C₂²⋊D₇₉	—	4	2	no	—
501	C₂²⋊D₇₉	—	4	2	no	—
502	C₂²⋊D₇₉	—	4	2	no	—
503	C₂²⋊D₇₉	—	8	2	no	—
504	C₂²⋊D₇₉	—	8	2	no	—
505	C₂²⋊D₇₉	—	8	2	no	—
506	C₂²⋊D₇₉	—	8	2	no	—
507	C₂×Dic₇₉	—	2	2	no	—
508	C₂×Dic₇₉	—	2	2	no	—
509	C₂×Dic₇₉	—	2	2	no	—
510	C₂×Dic₇₉	—	2	1	no	—
511	C₂×Dic₇₉	—	4	2	no	—
512	C₂×Dic₇₉	C₂²×D₄	1	2	yes	—
513	C₂×Dic₇₉	C₂²×D₄	1	2	yes	—
514	C₂×Dic₇₉	C₂²×D₄	1	1	yes	characteristic
515	C₂×Dic₇₉	C₂²×D₄	1	1	yes	characteristic
516	D₃₁₆	—	2	2	no	—
517	D₃₁₆	—	2	2	no	—
518	D₃₁₆	—	2	2	no	—
519	D₃₁₆	—	4	2	no	—
520	D₃₁₆	—	4	2	no	—
521	D₃₁₆	—	8	2	no	—
522	D₃₁₆	—	8	2	no	—
523	C₄×D₇₉	—	2	2	no	—
524	C₄×D₇₉	—	2	4	no	—
525	C₄×D₇₉	—	2	4	no	—
526	C₄×D₇₉	—	2	2	no	—
527	C₄×D₇₉	—	2	2	no	—
528	C₄×D₇₉	—	4	2	no	—
529	C₄×D₇₉	—	4	2	no	—
530	C₄×D₇₉	—	4	2	no	—
531	C₄×D₇₉	—	4	4	no	—
532	C₄×D₇₉	—	4	4	no	—
533	C₄×D₇₉	H(5,𝔽₂)	1	4	yes	—
534	Dic₁₅₈	—	2	2	no	—
535	Dic₁₅₈	—	2	2	no	—
536	Dic₁₅₈	—	2	2	no	—
537	Dic₁₅₈	—	4	4	no	—
538	Dic₁₅₈	—	4	2	no	—
539	C₈×C₇₉	—	2	2	no	—
540	C₈×C₇₉	—	2	2	no	—
541	C₇₉⋊C₈	—	2	2	no	—
542	C₇₉⋊C₈	—	2	2	no	—
543	C₂²×C₇₉	—	2	1	no	—
544	C₂²×C₇₉	—	2	2	no	—
545	C₂²×C₇₉	—	4	1	no	—
546	C₂²×C₇₉	—	4	1	no	—
547	C₂²×C₇₉	—	4	1	no	—
548	C₂²×C₇₉	—	4	2	no	—
549	C₂²×C₇₉	—	4	2	no	—
550	C₂²×C₇₉	—	4	2	no	—
551	C₂²×C₇₉	—	8	4	no	—
552	C₂²×C₇₉	C₂³×D₄	1	1	yes	characteristic
553	C₂×D₇₉	—	2	1	no	—
554	C₂×D₇₉	—	2	2	no	—
555	C₂×D₇₉	—	4	4	no	—
556	C₂×D₇₉	—	4	1	no	—
557	C₂×D₇₉	—	4	1	no	—
558	C₂×D₇₉	—	4	1	no	—
559	C₂×D₇₉	—	4	2	no	—
560	C₂×D₇₉	—	4	2	no	—
561	C₂×D₇₉	—	4	2	no	—
562	C₂×D₇₉	—	8	4	no	—
563	C₂×D₇₉	—	8	4	no	—
564	C₂×D₇₉	—	8	4	no	—
565	C₂×D₇₉	—	8	4	no	—
566	C₂×D₇₉	—	8	4	no	—
567	C₂×D₇₉	—	8	4	no	—
568	C₂×D₇₉	#535	1	2	yes	—
569	C₂×D₇₉	#577	1	4	yes	—
570	C₄×C₇₉	—	2	1	no	—
571	C₄×C₇₉	—	2	2	no	—
572	C₄×C₇₉	—	2	2	no	—
573	C₄×C₇₉	—	4	1	no	—
574	C₄×C₇₉	—	4	2	no	—
575	C₄×C₇₉	—	4	2	no	—
576	C₄×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
577	Dic₇₉	—	2	1	no	—
578	Dic₇₉	—	2	2	no	—
579	Dic₇₉	—	2	2	no	—
580	Dic₇₉	—	4	1	no	—
581	Dic₇₉	—	4	2	no	—
582	Dic₇₉	—	4	2	no	—
583	Dic₇₉	#535	1	2	yes	—
584	C₂×#3222	—	79	1	no	maximal, Sylow
585	C₂×C₇₉	—	4	1	no	—
586	C₂×C₇₉	—	8	1	no	—
587	C₂×C₇₉	—	8	1	no	—
588	C₂×C₇₉	—	8	1	no	—
589	C₂×C₇₉	C₂×#535	1	1	yes	characteristic
590	C₂×C₇₉	C₂×#577	1	2	yes	—
591	D₇₉	—	4	1	no	—
592	D₇₉	—	8	1	no	—
593	D₇₉	—	8	1	no	—
594	D₇₉	—	8	1	no	—
595	D₇₉	#3222	1	4	yes	direct product factor
596	C₂×#541	—	79	1	no	—
597	C₂×#535	—	79	1	no	—
598	#3222	—	79	1	no	—
599	#3222	—	79	1	no	—
600	#3222	—	79	1	no	—
601	#3222	—	79	1	no	—
602	#3222	—	79	2	no	—
603	#3222	—	79	2	no	—
604	#3222	—	79	2	no	—
605	#3222	—	79	2	no	—
606	#3222	—	79	1	no	—
607	#3222	—	79	1	no	—
608	#3222	—	79	1	no	—
609	#3222	D₇₉	1	1	yes	characteristic, direct product factor
610	C₂×#497	—	79	1	no	—
611	C₂×#492	—	79	1	no	—
612	C₂×#490	—	79	1	no	—
613	C₂×#488	—	79	1	no	—
614	C₂×#464	—	79	2	no	—
615	C₂×#460	—	79	2	no	—
616	C₂×#452	—	79	2	no	—
617	C₂×#450	—	79	2	no	—
618	C₂×#433	—	79	1	no	—
619	C₇₉	C₂×#3222	1	1	yes	characteristic, complemented, Sylow
620	C₂²×#41	—	79	1	no	—
621	C₂³×D₄	—	79	1	no	—
622	C₂²×Q₁₆	—	79	2	no	—
623	C₂²×SD₁₆	—	79	2	no	—
624	C₂²×SD₁₆	—	79	2	no	—
625	C₂²×SD₁₆	—	79	2	no	—
626	#541	—	79	1	no	—
627	#541	—	79	1	no	—
628	#541	—	79	2	no	—
629	#541	—	79	2	no	—
630	#541	—	79	1	no	—
631	#541	—	158	2	no	—
632	#541	—	158	2	no	—
633	#541	C₂×D₇₉	1	1	yes	characteristic, complemented
634	#535	—	79	1	no	—
635	#535	—	79	1	no	—
636	#535	—	79	1	no	—
637	#535	—	79	1	no	—
638	#535	—	79	1	no	—
639	#535	—	79	1	no	—
640	#535	—	79	1	no	—
641	#535	—	158	2	no	—
642	#535	—	158	2	no	—
643	#535	C₂×D₇₉	1	1	yes	characteristic
644	C₂×C₄⋊Q₈	—	79	1	no	—
645	C₂×#127	—	79	1	no	—
646	C₂×#127	—	79	1	no	—
647	C₂×#126	—	158	2	no	—
648	C₂×#125	—	79	1	no	—
649	C₂×#125	—	158	2	no	—
650	C₂×#124	—	79	1	no	—
651	C₂×#124	—	79	1	no	—
652	C₂×C₂²⋊Q₈	—	79	2	no	—
653	C₂×#121	—	158	2	no	—
654	C₂×#120	—	158	2	no	—
655	C₂×C₄×Q₈	—	79	2	no	—
656	C₂×#117	—	79	1	no	—
657	#497	—	79	2	no	—
658	#497	—	79	2	no	—
659	#497	—	79	1	no	—
660	#497	—	79	1	no	—
661	#497	—	79	1	no	—
662	#497	C₂×D₇₉	1	1	yes	characteristic, complemented
663	#492	—	79	2	no	—
664	#492	—	79	2	no	—
665	#492	—	79	1	no	—
666	#492	—	79	1	no	—
667	#492	—	79	1	no	—
668	#492	C₂×D₇₉	1	1	yes	characteristic, complemented
669	#490	—	79	1	no	—
670	#490	—	79	1	no	—
671	#490	—	79	2	no	—
672	#490	—	79	2	no	—
673	#490	—	79	1	no	—
674	#490	C₂×D₇₉	1	1	yes	characteristic, complemented
675	#488	—	79	1	no	—
676	#488	—	79	1	no	—
677	#488	—	79	2	no	—
678	#488	—	79	2	no	—
679	#488	—	79	1	no	—
680	#488	C₂×D₇₉	1	1	yes	characteristic, complemented
681	#464	—	79	2	no	—
682	#464	—	79	2	no	—
683	#464	—	79	2	no	—
684	#464	—	79	2	no	—
685	#464	—	79	2	no	—
686	#464	—	79	2	no	—
687	#464	—	79	2	no	—
688	#464	C₂×D₇₉	1	2	yes	complemented
689	#460	—	79	2	no	—
690	#460	—	79	2	no	—
691	#460	—	79	2	no	—
692	#460	—	79	2	no	—
693	#460	—	79	2	no	—
694	#460	—	79	2	no	—
695	#460	—	79	2	no	—
696	#460	C₂×D₇₉	1	2	yes	complemented
697	#452	—	79	2	no	—
698	#452	—	79	2	no	—
699	#452	—	79	2	no	—
700	#452	—	79	2	no	—
701	#452	—	79	2	no	—
702	#452	—	79	2	no	—
703	#452	—	79	2	no	—
704	#452	C₂×D₇₉	1	2	yes	complemented
705	#450	—	79	2	no	—
706	#450	—	79	2	no	—
707	#450	—	79	2	no	—
708	#450	—	79	2	no	—
709	#450	—	79	2	no	—
710	#450	—	79	2	no	—
711	#450	—	79	2	no	—
712	#450	C₂×D₇₉	1	2	yes	complemented
713	#433	—	79	1	no	—
714	#433	—	79	2	no	—
715	#433	—	79	2	no	—
716	#433	—	79	1	no	—
717	#433	—	79	1	no	—
718	#433	C₂×D₇₉	1	1	yes	characteristic, complemented
719	C₂×C₄⋊C₈	—	79	2	no	—
720	C₂×#103	—	79	2	no	—
721	C₂×#102	—	79	2	no	—
722	C₂×#102	—	79	2	no	—
723	C₂×#102	—	79	2	no	—
724	C₂×C₂²⋊C₈	—	79	2	no	—
725	C₂×#97	—	79	1	no	—
726	C₂×C₄×C₈	—	79	1	no	—
727	C₂⁵	—	158	1	no	—
728	C₂×#41	—	316	4	no	—
729	C₂×#41	—	79	1	no	—
730	C₂×#41	—	79	1	no	—
731	C₂×#41	—	79	1	no	—
732	C₂×#41	—	158	1	no	—
733	C₂×#41	—	158	1	no	—
734	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
735	C₂²×Q₈	—	79	2	no	—
736	C₂²×Q₈	—	79	1	no	—
737	C₂²×D₄	—	316	4	no	—
738	C₂²×D₄	—	79	1	no	—
739	C₂²×D₄	—	79	1	no	—
740	C₂²×D₄	—	79	1	no	—
741	C₂²×D₄	—	79	1	no	—
742	C₂²×D₄	—	79	1	no	—
743	C₂²×D₄	—	79	1	no	—
744	C₂²×D₄	—	158	1	no	—
745	C₂²×D₄	—	158	1	no	—
746	C₂²×D₄	—	158	2	no	—
747	C₂²×D₄	—	158	2	no	—
748	C₂²×D₄	—	158	1	no	—
749	C₂²×D₄	—	158	1	no	—
750	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
751	C₂³×C₄	—	79	1	no	—
752	C₂³×C₄	—	158	1	no	—
753	C₂×Q₁₆	—	316	4	no	—
754	C₂×Q₁₆	—	79	2	no	—
755	C₂×Q₁₆	—	79	2	no	—
756	C₂×Q₁₆	—	79	2	no	—
757	C₂×Q₁₆	C₂²×D₇₉	1	2	yes	complemented
758	C₂×SD₁₆	—	316	4	no	—
759	C₂×SD₁₆	—	316	4	no	—
760	C₂×SD₁₆	—	316	4	no	—
761	C₂×SD₁₆	—	79	2	no	—
762	C₂×SD₁₆	—	79	2	no	—
763	C₂×SD₁₆	—	79	2	no	—
764	C₂×SD₁₆	—	79	2	no	—
765	C₂×SD₁₆	—	79	2	no	—
766	C₂×SD₁₆	—	79	2	no	—
767	C₂×SD₁₆	—	79	2	no	—
768	C₂×SD₁₆	—	79	2	no	—
769	C₂×SD₁₆	—	79	2	no	—
770	C₂×SD₁₆	C₂²×D₇₉	1	2	yes	—
771	C₂×SD₁₆	C₂²×D₇₉	1	2	yes	—
772	C₂×SD₁₆	C₂²×D₇₉	1	2	yes	complemented
773	C₂²×C₈	—	79	2	no	—
774	C₂²×C₈	—	79	2	no	—
775	C₄⋊Q₈	—	79	2	no	—
776	C₄⋊Q₈	—	79	1	no	—
777	C₄⋊Q₈	—	158	2	no	—
778	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
779	#127	—	79	1	no	—
780	#127	—	79	1	no	—
781	#127	—	79	1	no	—
782	#127	—	79	1	no	—
783	#127	—	79	1	no	—
784	#127	—	79	1	no	—
785	#127	—	158	2	no	—
786	#127	—	158	2	no	—
787	#127	C₂²×D₇₉	1	1	yes	characteristic
788	#127	C₂²×D₇₉	1	1	yes	characteristic
789	#126	—	2	2	no	—
790	#126	—	158	2	no	—
791	#126	—	158	2	no	—
792	#126	—	158	2	no	—
793	#126	—	158	2	no	—
794	#126	—	158	2	no	—
795	#126	—	158	2	no	—
796	#126	—	158	2	no	—
797	#125	—	2	2	no	—
798	#125	—	79	2	no	—
799	#125	—	79	1	no	—
800	#125	—	158	2	no	—
801	#125	—	158	2	no	—
802	#125	—	158	2	no	—
803	#125	—	158	2	no	—
804	#125	—	158	2	no	—
805	#125	—	158	2	no	—
806	#125	—	158	2	no	—
807	#125	—	158	2	no	—
808	#125	C₂²×D₇₉	1	1	yes	characteristic, complemented
809	#124	—	79	1	no	—
810	#124	—	79	1	no	—
811	#124	—	79	1	no	—
812	#124	—	79	1	no	—
813	#124	—	79	1	no	—
814	#124	—	79	1	no	—
815	#124	—	158	2	no	—
816	#124	—	158	2	no	—
817	#124	C₂²×D₇₉	1	1	yes	characteristic
818	#124	C₂²×D₇₉	1	1	yes	characteristic
819	C₂²⋊Q₈	—	79	2	no	—
820	C₂²⋊Q₈	—	79	2	no	—
821	C₂²⋊Q₈	—	79	2	no	—
822	C₂²⋊Q₈	—	158	2	no	—
823	C₂²⋊Q₈	—	158	2	no	—
824	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
825	#121	—	2	2	no	—
826	#121	—	158	2	no	—
827	#121	—	158	2	no	—
828	#121	—	158	2	no	—
829	#121	—	158	2	no	—
830	#121	—	158	2	no	—
831	#121	—	158	2	no	—
832	#121	—	158	2	no	—
833	#120	—	2	2	no	—
834	#120	—	158	2	no	—
835	#120	—	158	2	no	—
836	#120	—	158	2	no	—
837	#120	—	158	2	no	—
838	#120	—	158	2	no	—
839	#120	—	158	2	no	—
840	#120	—	158	2	no	—
841	C₄×Q₈	—	79	2	no	—
842	C₄×Q₈	—	79	2	no	—
843	C₄×Q₈	—	79	2	no	—
844	C₄×Q₈	—	158	2	no	—
845	C₄×Q₈	—	158	2	no	—
846	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
847	#117	—	79	1	no	—
848	#117	—	79	2	no	—
849	#117	—	79	2	no	—
850	#117	—	79	1	no	—
851	#117	—	79	1	no	—
852	#117	C₂²×D₇₉	1	1	yes	characteristic
853	C₂×C₄⋊C₄	—	79	2	no	—
854	C₂×C₄⋊C₄	—	79	2	no	—
855	C₂×C₄⋊C₄	—	158	2	no	—
856	C₂×C₄⋊C₄	—	158	2	no	—
857	C₂×C₄⋊C₄	—	158	2	no	—
858	C₂×C₄⋊C₄	—	158	2	no	—
859	C₂×C₂²⋊C₄	—	79	2	no	—
860	C₂×C₂²⋊C₄	—	158	2	no	—
861	C₂×C₂²⋊C₄	—	158	2	no	—
862	C₂×C₂²⋊C₄	—	158	2	no	—
863	C₂×C₄²	—	79	1	no	—
864	C₂×C₄²	—	79	1	no	—
865	C₂×C₄²	—	158	2	no	—
866	C₄⋊C₈	—	79	2	no	—
867	C₄⋊C₈	—	79	2	no	—
868	C₄⋊C₈	—	79	2	no	—
869	C₄⋊C₈	C₂²×D₇₉	1	2	yes	complemented
870	#103	—	79	2	no	—
871	#103	—	79	2	no	—
872	#103	—	79	2	no	—
873	#103	C₂²×D₇₉	1	2	yes	complemented
874	#102	—	79	2	no	—
875	#102	—	79	2	no	—
876	#102	—	79	2	no	—
877	#102	—	79	2	no	—
878	#102	—	79	2	no	—
879	#102	—	79	2	no	—
880	#102	—	79	2	no	—
881	#102	—	79	2	no	—
882	#102	—	79	2	no	—
883	#102	C₂²×D₇₉	1	2	yes	—
884	#102	C₂²×D₇₉	1	2	yes	—
885	#102	C₂²×D₇₉	1	2	yes	complemented
886	C₂²⋊C₈	—	79	2	no	—
887	C₂²⋊C₈	—	79	2	no	—
888	C₂²⋊C₈	—	79	2	no	—
889	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
890	#97	—	79	2	no	—
891	#97	—	79	1	no	—
892	#97	C₂²×D₇₉	1	1	yes	characteristic, complemented
893	C₄×C₈	—	79	2	no	—
894	C₄×C₈	—	79	1	no	—
895	C₄×C₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
896	C₂⁴	—	2	1	no	—
897	C₂⁴	—	316	4	no	—
898	C₂⁴	—	79	1	no	—
899	C₂⁴	—	632	4	no	—
900	C₂⁴	—	158	1	no	—
901	C₂⁴	—	158	1	no	—
902	C₂⁴	—	158	1	no	—
903	C₂⁴	—	158	1	no	—
904	C₂⁴	—	158	1	no	—
905	C₂⁴	—	158	1	no	—
906	#41	—	4	2	no	—
907	#41	—	316	2	no	—
908	#41	—	316	4	no	—
909	#41	—	316	2	no	—
910	#41	—	316	4	no	—
911	#41	—	316	2	no	—
912	C₂×Q₈	—	79	1	no	—
913	C₂×Q₈	—	79	2	no	—
914	C₂×Q₈	—	158	2	no	—
915	C₂×Q₈	—	158	1	no	—
916	C₂×Q₈	—	158	4	no	—
917	C₂×Q₈	—	158	4	no	—
918	C₂×Q₈	—	158	4	no	—
919	C₂×Q₈	C₂³×D₇₉	1	1	yes	characteristic
920	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	—	2	1	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	4	2	no	—
926	C₂×D₄	—	316	2	no	—
927	C₂×D₄	—	316	4	no	—
928	C₂×D₄	—	316	2	no	—
929	C₂×D₄	—	316	2	no	—
930	C₂×D₄	—	316	4	no	—
931	C₂×D₄	—	316	4	no	—
932	C₂×D₄	—	316	4	no	—
933	C₂×D₄	—	79	1	no	—
934	C₂×D₄	—	79	1	no	—
935	C₂×D₄	—	79	1	no	—
936	C₂×D₄	—	632	4	no	—
937	C₂×D₄	—	632	4	no	—
938	C₂×D₄	—	158	1	no	—
939	C₂×D₄	—	158	4	no	—
940	C₂×D₄	—	158	4	no	—
941	C₂×D₄	—	158	4	no	—
942	C₂×D₄	—	158	1	no	—
943	C₂×D₄	—	158	1	no	—
944	C₂×D₄	—	158	1	no	—
945	C₂×D₄	—	158	1	no	—
946	C₂×D₄	—	158	1	no	—
947	C₂×D₄	—	158	2	no	—
948	C₂×D₄	—	158	2	no	—
949	C₂×D₄	—	158	2	no	—
950	C₂×D₄	—	158	2	no	—
951	C₂×D₄	—	158	1	no	—
952	C₂×D₄	—	158	1	no	—
953	C₂×D₄	—	158	1	no	—
954	C₂×D₄	—	158	2	no	—
955	C₂×D₄	—	158	2	no	—
956	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
957	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
958	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
959	C₂²×C₄	—	2	1	no	—
960	C₂²×C₄	—	316	4	no	—
961	C₂²×C₄	—	79	1	no	—
962	C₂²×C₄	—	79	1	no	—
963	C₂²×C₄	—	79	1	no	—
964	C₂²×C₄	—	79	2	no	—
965	C₂²×C₄	—	79	2	no	—
966	C₂²×C₄	—	79	1	no	—
967	C₂²×C₄	—	79	1	no	—
968	C₂²×C₄	—	158	1	no	—
969	C₂²×C₄	—	158	2	no	—
970	C₂²×C₄	—	158	2	no	—
971	C₂²×C₄	—	158	1	no	—
972	C₂²×C₄	—	158	4	no	—
973	C₂²×C₄	—	158	1	no	—
974	C₂²×C₄	—	158	1	no	—
975	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
976	Q₁₆	—	4	2	no	—
977	Q₁₆	—	316	2	no	—
978	Q₁₆	—	316	2	no	—
979	Q₁₆	—	316	2	no	—
980	SD₁₆	—	4	2	no	—
981	SD₁₆	—	4	2	no	—
982	SD₁₆	—	4	2	no	—
983	SD₁₆	—	316	2	no	—
984	SD₁₆	—	316	2	no	—
985	SD₁₆	—	316	2	no	—
986	SD₁₆	—	316	2	no	—
987	SD₁₆	—	316	2	no	—
988	SD₁₆	—	316	2	no	—
989	SD₁₆	—	316	2	no	—
990	SD₁₆	—	316	2	no	—
991	SD₁₆	—	316	2	no	—
992	C₂×C₈	—	79	2	no	—
993	C₂×C₈	—	79	2	no	—
994	C₂×C₈	—	158	4	no	—
995	C₂×C₈	—	158	4	no	—
996	C₂×C₈	C₂³×D₇₉	1	2	yes	—
997	C₂×C₈	C₂³×D₇₉	1	2	yes	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	2	no	—
1001	C₄⋊C₄	—	2	2	no	—
1002	C₄⋊C₄	—	79	2	no	—
1003	C₄⋊C₄	—	79	2	no	—
1004	C₄⋊C₄	—	79	2	no	—
1005	C₄⋊C₄	—	79	2	no	—
1006	C₄⋊C₄	—	158	2	no	—
1007	C₄⋊C₄	—	158	2	no	—
1008	C₄⋊C₄	—	158	2	no	—
1009	C₄⋊C₄	—	158	2	no	—
1010	C₄⋊C₄	—	158	2	no	—
1011	C₄⋊C₄	—	158	2	no	—
1012	C₄⋊C₄	—	158	2	no	—
1013	C₄⋊C₄	—	158	2	no	—
1014	C₄⋊C₄	—	158	2	no	—
1015	C₄⋊C₄	—	158	2	no	—
1016	C₄⋊C₄	—	158	2	no	—
1017	C₄⋊C₄	—	158	2	no	—
1018	C₄⋊C₄	—	158	2	no	—
1019	C₄⋊C₄	D₄×D₇₉	1	2	yes	—
1020	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	79	2	no	—
1025	C₂²⋊C₄	—	79	2	no	—
1026	C₂²⋊C₄	—	79	2	no	—
1027	C₂²⋊C₄	—	158	2	no	—
1028	C₂²⋊C₄	—	158	2	no	—
1029	C₂²⋊C₄	—	158	2	no	—
1030	C₂²⋊C₄	—	158	2	no	—
1031	C₂²⋊C₄	—	158	2	no	—
1032	C₂²⋊C₄	—	158	2	no	—
1033	C₂²⋊C₄	—	158	2	no	—
1034	C₂²⋊C₄	—	158	2	no	—
1035	C₂²⋊C₄	—	158	2	no	—
1036	C₂²⋊C₄	D₄×D₇₉	1	2	yes	—
1037	C₄²	—	2	2	no	—
1038	C₄²	—	79	1	no	—
1039	C₄²	—	79	1	no	—
1040	C₄²	—	79	2	no	—
1041	C₄²	—	79	2	no	—
1042	C₄²	—	158	2	no	—
1043	C₄²	—	158	2	no	—
1044	C₄²	—	158	2	no	—
1045	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1046	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1047	C₂³	—	2	1	no	—
1048	C₂³	—	2	1	no	—
1049	C₂³	—	2	1	no	—
1050	C₂³	—	4	2	no	—
1051	C₂³	—	8	2	no	—
1052	C₂³	—	316	2	no	—
1053	C₂³	—	316	2	no	—
1054	C₂³	—	316	2	no	—
1055	C₂³	—	316	2	no	—
1056	C₂³	—	316	4	no	—
1057	C₂³	—	316	4	no	—
1058	C₂³	—	316	4	no	—
1059	C₂³	—	316	2	no	—
1060	C₂³	—	316	2	no	—
1061	C₂³	—	79	1	no	—
1062	C₂³	—	79	1	no	—
1063	C₂³	—	632	2	no	—
1064	C₂³	—	632	2	no	—
1065	C₂³	—	632	2	no	—
1066	C₂³	—	632	16	no	—
1067	C₂³	—	158	2	no	—
1068	C₂³	—	158	4	no	—
1069	C₂³	—	158	1	no	—
1070	C₂³	—	158	1	no	—
1071	C₂³	—	158	1	no	—
1072	C₂³	C₂×D₄×D₇₉	1	1	yes	characteristic
1073	Q₈	—	2	2	no	—
1074	Q₈	—	2	2	no	—
1075	Q₈	—	2	2	no	—
1076	Q₈	—	316	2	no	—
1077	Q₈	—	316	4	no	—
1078	Q₈	—	158	2	no	—
1079	Q₈	—	158	2	no	—
1080	Q₈	—	158	2	no	—
1081	D₄	—	2	2	no	—
1082	D₄	—	2	2	no	—
1083	D₄	—	2	2	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	4	2	no	—
1086	D₄	—	8	2	no	—
1087	D₄	—	8	2	no	—
1088	D₄	—	316	2	no	—
1089	D₄	—	316	2	no	—
1090	D₄	—	316	2	no	—
1091	D₄	—	316	2	no	—
1092	D₄	—	316	2	no	—
1093	D₄	—	316	2	no	—
1094	D₄	—	316	2	no	—
1095	D₄	—	316	2	no	—
1096	D₄	—	316	2	no	—
1097	D₄	—	632	2	no	—
1098	D₄	—	632	2	no	—
1099	D₄	—	632	2	no	—
1100	D₄	—	632	2	no	—
1101	D₄	—	632	2	no	—
1102	D₄	—	632	2	no	—
1103	D₄	—	158	2	no	—
1104	D₄	—	158	2	no	—
1105	D₄	—	158	2	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	4	2	no	—
1111	C₂×C₄	—	316	2	no	—
1112	C₂×C₄	—	316	2	no	—
1113	C₂×C₄	—	316	4	no	—
1114	C₂×C₄	—	316	4	no	—
1115	C₂×C₄	—	316	2	no	—
1116	C₂×C₄	—	316	2	no	—
1117	C₂×C₄	—	79	1	no	—
1118	C₂×C₄	—	79	4	no	—
1119	C₂×C₄	—	79	2	no	—
1120	C₂×C₄	—	79	2	no	—
1121	C₂×C₄	—	79	1	no	—
1122	C₂×C₄	—	158	2	no	—
1123	C₂×C₄	—	158	2	no	—
1124	C₂×C₄	—	158	4	no	—
1125	C₂×C₄	—	158	4	no	—
1126	C₂×C₄	—	158	2	no	—
1127	C₂×C₄	—	158	2	no	—
1128	C₂×C₄	—	158	1	no	—
1129	C₂×C₄	—	158	2	no	—
1130	C₂×C₄	—	158	2	no	—
1131	C₂×C₄	C₂×D₄×D₇₉	1	2	yes	—
1132	C₂×C₄	C₂×D₄×D₇₉	1	2	yes	—
1133	C₂×C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
1134	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1135	C₈	—	2	2	no	—
1136	C₈	—	2	2	no	—
1137	C₈	—	158	2	no	—
1138	C₈	—	158	2	no	—
1139	C₂²	—	2	2	no	—
1140	C₂²	—	2	1	no	—
1141	C₂²	—	4	2	no	—
1142	C₂²	—	4	2	no	—
1143	C₂²	—	4	2	no	—
1144	C₂²	—	4	1	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	8	4	no	—
1148	C₂²	—	316	4	no	—
1149	C₂²	—	316	2	no	—
1150	C₂²	—	316	2	no	—
1151	C₂²	—	316	2	no	—
1152	C₂²	—	316	1	no	—
1153	C₂²	—	316	1	no	—
1154	C₂²	—	316	1	no	—
1155	C₂²	—	79	4	no	—
1156	C₂²	—	79	2	no	—
1157	C₂²	—	632	4	no	—
1158	C₂²	—	632	4	no	—
1159	C₂²	—	632	4	no	—
1160	C₂²	—	632	4	no	—
1161	C₂²	—	632	4	no	—
1162	C₂²	—	632	4	no	—
1163	C₂²	—	158	2	no	—
1164	C₂²	—	158	1	no	—
1165	C₂²	C₂²×D₄×D₇₉	1	1	yes	characteristic
1166	C₄	—	2	2	no	—
1167	C₄	—	2	2	no	—
1168	C₄	—	2	1	no	—
1169	C₄	—	4	2	no	—
1170	C₄	—	4	1	no	—
1171	C₄	—	4	2	no	—
1172	C₄	—	316	2	no	—
1173	C₄	—	316	1	no	—
1174	C₄	—	316	2	no	—
1175	C₄	—	79	2	no	—
1176	C₄	—	158	2	no	—
1177	C₄	—	158	2	no	—
1178	C₄	—	158	1	no	—
1179	C₄	H(5,𝔽₂)×D₇₉	1	2	yes	—
1180	C₂	—	4	1	no	—
1181	C₂	—	8	1	no	—
1182	C₂	—	8	1	no	—
1183	C₂	—	8	1	no	—
1184	C₂	—	316	1	no	—
1185	C₂	—	79	4	no	—
1186	C₂	—	632	1	no	—
1187	C₂	—	632	1	no	—
1188	C₂	—	632	1	no	—
1189	C₂	#535×D₇₉	1	1	yes	characteristic
1190	C₂	#577×D₇₉	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇₉
commutator, cosocle	C₂×C₄×C₇₉	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₉
Fitting	C₇₉×#3222	C₂
socle	C₂²×C₇₉	C₂³×D₄
prime radical	#535×D₇₉	C₂
hypercenter	#3222	D₇₉
hypocenter	C₇₉	C₂×#3222
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3222

Complements

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

N	H ≅ G/N	type
1. #541×D₇₉	C₂	semidirect
3. #23774475	C₂	semidirect
4. #23774474	C₂	semidirect
5. #23774473	C₂	semidirect
6. #23774472	C₂	semidirect
7. #23774471	C₂	semidirect
8. #23774470	C₂	semidirect
9. #23774469	C₂	semidirect
10. #23774468	C₂	semidirect
11. #23774467	C₂	semidirect
12. #23774466	C₂	semidirect
13. #23774465	C₂	semidirect
14. #497×D₇₉	C₂	semidirect
15. #492×D₇₉	C₂	semidirect
16. #490×D₇₉	C₂	semidirect
17. #488×D₇₉	C₂	semidirect
18. #464×D₇₉	C₂	semidirect
19. #460×D₇₉	C₂	semidirect
20. #452×D₇₉	C₂	semidirect
21. #450×D₇₉	C₂	semidirect
22. #433×D₇₉	C₂	semidirect
23. C₇₉×#3222	C₂	semidirect
26. C₂×Q₁₆×D₇₉	C₂²	semidirect
29. C₂×SD₁₆×D₇₉	C₂²	semidirect
30. #19099176	C₂²	semidirect
31. #19099175	C₂²	semidirect
32. #19099174	C₂²	semidirect
33. #19099173	C₂²	semidirect
35. #19099171	C₂²	semidirect
46. C₄⋊Q₈×D₇₉	C₂²	semidirect
51. #125×D₇₉	C₂²	semidirect
57. C₄×Q₈×D₇₉	C₂²	semidirect
59. #19098958	C₂²	semidirect
60. #19098957	C₂²	semidirect
61. #19098956	C₂²	semidirect
62. #19098955	C₂²	semidirect
63. #19098954	C₂²	semidirect
64. #19098937	C₂²	semidirect
65. #19098936	C₂²	semidirect
66. #19098935	C₂²	semidirect
67. #19098934	C₂²	semidirect
68. #19098934	C₂²	semidirect
69. #19098929	C₂²	semidirect
70. #19098928	C₂²	semidirect
71. #19098927	C₂²	semidirect
72. #19098926	C₂²	semidirect
73. #19098926	C₂²	semidirect
74. #19098920	C₂²	semidirect
75. #19098919	C₂²	semidirect
76. #19098918	C₂²	semidirect
77. #19098917	C₂²	semidirect
78. #19098916	C₂²	semidirect
79. #19098788	C₂²	semidirect
80. #19098787	C₂²	semidirect
81. #19098786	C₂²	semidirect
82. #19098785	C₂²	semidirect
83. #19098784	C₂²	semidirect
84. #19098783	C₂²	semidirect
85. #19098782	C₂²	semidirect
86. #19098764	C₂²	semidirect
87. #19098763	C₂²	semidirect
88. #19098762	C₂²	semidirect
89. #19098762	C₂²	semidirect
90. #19098761	C₂²	semidirect
91. #19098761	C₂²	semidirect
92. #19098760	C₂²	semidirect
93. #19098728	C₂²	semidirect
94. #19098727	C₂²	semidirect
95. #19098726	C₂²	semidirect
96. #19098725	C₂²	semidirect
97. #19098724	C₂²	semidirect
98. #19098723	C₂²	semidirect
99. #19098722	C₂²	semidirect
100. #19098716	C₂²	semidirect
101. #19098715	C₂²	semidirect
102. #19098715	C₂²	semidirect
103. #19098714	C₂²	semidirect
104. #19098713	C₂²	semidirect
105. #19098712	C₂²	semidirect
106. #19098712	C₂²	semidirect
107. #19098625	C₂²	semidirect
108. #19098624	C₂²	semidirect
109. #19098623	C₂²	semidirect
110. #19098622	C₂²	semidirect
111. #19098621	C₂²	semidirect
112. C₄⋊C₈×D₇₉	C₂²	semidirect
113. #103×D₇₉	C₂²	semidirect
116. #102×D₇₉	C₂²	semidirect
118. #97×D₇₉	C₂²	semidirect
119. C₄×C₈×D₇₉	C₂²	semidirect
120. #541×C₇₉	C₂²	semidirect
122. #497×C₇₉	C₂²	semidirect
123. #492×C₇₉	C₂²	semidirect
124. #490×C₇₉	C₂²	semidirect
125. #488×C₇₉	C₂²	semidirect
126. #464×C₇₉	C₂²	semidirect
127. #460×C₇₉	C₂²	semidirect
128. #452×C₇₉	C₂²	semidirect
129. #450×C₇₉	C₂²	semidirect
130. #433×C₇₉	C₂²	semidirect
155. C₂×Dic₃₁₆	C₂³	semidirect
156. C₂×#11929614	C₂³	semidirect
157. C₂×#11929614	C₂³	semidirect
161. C₂×#11929613	C₂³	semidirect
164. C₂×#11929612	C₂³	semidirect
167. C₂×#11929611	C₂³	semidirect
173. #14579161	C₂³	semidirect
175. #14579159	C₂³	semidirect
192. #14579153	C₂³	semidirect
195. #14579152	C₂³	semidirect
228. Q₈×Dic₇₉	C₂³	semidirect
230. C₄×Dic₁₅₈	C₂³	semidirect
232. #14579126	C₂³	semidirect
251. C₄⋊(C₇₉⋊C₈)	C₂³	semidirect
252. Dic₇₉⋊C₈	C₂³	semidirect
253. Dic₇₉⋊C₈	C₂³	semidirect
254. #14579086	C₂³	semidirect
255. #14579085	C₂³	semidirect
256. #14579084	C₂³	semidirect
259. #14579083	C₂³	semidirect
262. #14579082	C₂³	semidirect
265. #14579081	C₂³	semidirect
269. #14579072	C₂³	semidirect
270. #14579071	C₂³	semidirect
271. C₄×C₇₉⋊C₈	C₂³	semidirect
272. C₈×Dic₇₉	C₂³	semidirect
275. C₂×Q₁₆×C₇₉	C₂³	semidirect
278. C₂×SD₁₆×C₇₉	C₂³	semidirect
279. C₄⋊Q₈×C₇₉	C₂³	semidirect
284. #125×C₇₉	C₂³	semidirect
290. C₄×Q₈×C₇₉	C₂³	semidirect
292. C₄⋊C₈×C₇₉	C₂³	semidirect
293. #103×C₇₉	C₂³	semidirect
296. #102×C₇₉	C₂³	semidirect
298. #97×C₇₉	C₂³	semidirect
299. C₄×C₈×C₇₉	C₂³	semidirect
595. D₇₉	#3222	direct (N × H)
609. #3222	D₇₉	direct (N × H)
619. C₇₉	C₂×#3222	semidirect
633. #541	C₂×D₇₉	semidirect
662. #497	C₂×D₇₉	semidirect
668. #492	C₂×D₇₉	semidirect
674. #490	C₂×D₇₉	semidirect
680. #488	C₂×D₇₉	semidirect
688. #464	C₂×D₇₉	semidirect
696. #460	C₂×D₇₉	semidirect
704. #452	C₂×D₇₉	semidirect
712. #450	C₂×D₇₉	semidirect
718. #433	C₂×D₇₉	semidirect
757. C₂×Q₁₆	C₂²×D₇₉	semidirect
772. C₂×SD₁₆	C₂²×D₇₉	semidirect
778. C₄⋊Q₈	C₂²×D₇₉	semidirect
808. #125	C₂²×D₇₉	semidirect
846. C₄×Q₈	C₂²×D₇₉	semidirect
869. C₄⋊C₈	C₂²×D₇₉	semidirect
873. #103	C₂²×D₇₉	semidirect
885. #102	C₂²×D₇₉	semidirect
892. #97	C₂²×D₇₉	semidirect
895. C₄×C₈	C₂²×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#541×D₇₉	2
#535×D₇₉	2
#23774475	2
#23774474	2
#23774473	2
#23774472	2
#23774471	2
#23774470	2
#23774469	2
#23774468	2
#23774467	2
#23774466	2
#23774465	2
#497×D₇₉	2
#492×D₇₉	2
#490×D₇₉	2
#488×D₇₉	2
#464×D₇₉	2
#460×D₇₉	2
#452×D₇₉	2
#450×D₇₉	2
#433×D₇₉	2
C₇₉×#3222	2
C₂×#3222	79

Subgroups — #3222×D79 #35159604

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3222×D₇₉ #35159604