Subgroups — C₇₉×#3370 #23760992

Order 10112.

358 conjugacy classes of subgroups.

The subgroup lattice has 342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#559×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#554×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#490×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#489×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#488×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#479×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#478×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#474×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#463×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#463×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#459×C₇₉	C₂	1	1	yes	maximal, characteristic
12	#446×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#442×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#440×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×D₈×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic
17	C₂×D₈×C₇₉	C₂²	1	1	yes	characteristic
18	C₂×D₈×C₇₉	C₂²	1	1	yes	characteristic
19	C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
20	#127×C₇₉	C₂²	1	1	yes	characteristic
21	#125×C₇₉	C₂²	1	1	yes	characteristic
22	#125×C₇₉	C₂²	1	1	yes	characteristic
23	#124×C₇₉	—	2	1	no	—
24	#124×C₇₉	C₂²	1	1	yes	characteristic
25	#124×C₇₉	C₂²	1	1	yes	characteristic
26	#123×C₇₉	—	2	1	no	—
27	#123×C₇₉	—	2	1	no	—
28	C₂²⋊Q₈×C₇₉	—	2	1	no	—
29	C₂²⋊Q₈×C₇₉	—	2	1	no	—
30	C₂²⋊Q₈×C₇₉	—	2	1	no	—
31	C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
32	C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
33	C₄×D₄×C₇₉	—	2	1	no	—
34	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
35	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
36	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
37	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
38	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
40	#107×C₇₉	C₂²	1	1	yes	characteristic
41	#107×C₇₉	C₂²	1	1	yes	characteristic
42	#106×C₇₉	C₂²	1	1	yes	characteristic
43	C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
44	C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
45	C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
46	#103×C₇₉	C₂²	1	1	yes	characteristic
47	#103×C₇₉	C₂²	1	1	yes	characteristic
48	#103×C₇₉	C₂²	1	1	yes	characteristic
49	#102×C₇₉	C₂²	1	1	yes	characteristic
50	#102×C₇₉	C₂²	1	1	yes	characteristic
51	#102×C₇₉	C₂²	1	1	yes	characteristic
52	#102×C₇₉	C₂²	1	1	yes	characteristic
53	#102×C₇₉	C₂²	1	1	yes	characteristic
54	#102×C₇₉	C₂²	1	1	yes	characteristic
55	#102×C₇₉	C₂²	1	1	yes	characteristic
56	#97×C₇₉	C₂²	1	1	yes	characteristic
57	#97×C₇₉	C₂²	1	1	yes	characteristic
58	C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
59	C₂×Q₈×C₇₉	—	2	1	no	—
60	C₂×Q₈×C₇₉	D₄	1	1	yes	characteristic
61	C₂×Q₈×C₇₉	C₂³	1	1	yes	characteristic
62	C₂×D₄×C₇₉	—	2	1	no	—
63	C₂×D₄×C₇₉	—	2	1	no	—
64	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
65	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
66	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₇₉	—	2	1	no	—
68	C₂²×C₄×C₇₉	—	2	1	no	—
69	C₂²×C₄×C₇₉	—	2	1	no	—
70	C₂²×C₄×C₇₉	—	2	1	no	—
71	C₂²×C₄×C₇₉	—	2	1	no	—
72	SD₁₆×C₇₉	—	2	2	no	—
73	D₈×C₇₉	—	2	2	no	—
74	D₈×C₇₉	—	2	2	no	—
75	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
76	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
77	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
78	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
79	C₄⋊C₄×C₇₉	—	2	1	no	—
80	C₄⋊C₄×C₇₉	—	2	1	no	—
81	C₄⋊C₄×C₇₉	—	2	1	no	—
82	C₄⋊C₄×C₇₉	—	2	1	no	—
83	C₄⋊C₄×C₇₉	—	2	1	no	—
84	C₄⋊C₄×C₇₉	—	2	1	no	—
85	C₄⋊C₄×C₇₉	D₄	1	1	yes	characteristic
86	C₄⋊C₄×C₇₉	D₄	1	1	yes	characteristic
87	C₄⋊C₄×C₇₉	D₄	1	1	yes	characteristic
88	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
89	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
90	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
91	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
92	C₂²⋊C₄×C₇₉	—	2	1	no	—
93	C₂²⋊C₄×C₇₉	—	2	1	no	—
94	C₂²⋊C₄×C₇₉	—	2	1	no	—
95	C₂²⋊C₄×C₇₉	—	2	1	no	—
96	C₂²⋊C₄×C₇₉	—	2	1	no	—
97	C₂²⋊C₄×C₇₉	—	2	1	no	—
98	C₂²⋊C₄×C₇₉	—	2	1	no	—
99	C₂²⋊C₄×C₇₉	—	2	1	no	—
100	C₂²⋊C₄×C₇₉	—	2	1	no	—
101	C₄²×C₇₉	—	2	1	no	—
102	C₄²×C₇₉	C₂³	1	1	yes	characteristic
103	C₄²×C₇₉	C₂³	1	1	yes	characteristic
104	C₄²×C₇₉	C₂³	1	1	yes	characteristic
105	C₂³×C₇₉	—	2	1	no	—
106	C₂³×C₇₉	—	2	1	no	—
107	C₂³×C₇₉	—	2	1	no	—
108	Q₈×C₇₉	—	2	1	no	—
109	Q₈×C₇₉	—	2	1	no	—
110	Q₈×C₇₉	—	4	1	no	—
111	Q₈×C₇₉	—	8	1	no	—
112	D₄×C₇₉	—	2	1	no	—
113	D₄×C₇₉	—	2	1	no	—
114	D₄×C₇₉	—	2	1	no	—
115	D₄×C₇₉	—	2	1	no	—
116	D₄×C₇₉	—	2	1	no	—
117	D₄×C₇₉	—	4	2	no	—
118	D₄×C₇₉	—	8	1	no	—
119	D₄×C₇₉	#41	1	2	yes	—
120	C₂×C₄×C₇₉	—	2	1	no	—
121	C₂×C₄×C₇₉	—	2	1	no	—
122	C₂×C₄×C₇₉	—	2	1	no	—
123	C₂×C₄×C₇₉	—	2	1	no	—
124	C₂×C₄×C₇₉	—	2	1	no	—
125	C₂×C₄×C₇₉	—	4	2	no	—
126	C₂×C₄×C₇₉	—	8	1	no	—
127	C₂×C₄×C₇₉	—	8	1	no	—
128	C₂×C₄×C₇₉	—	8	1	no	—
129	C₂×C₄×C₇₉	—	8	1	no	—
130	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
132	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
133	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
134	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
135	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
136	C₂×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
137	C₈×C₇₉	—	2	1	no	—
138	C₈×C₇₉	—	2	1	no	—
139	C₈×C₇₉	—	2	1	no	—
140	C₈×C₇₉	—	2	1	no	—
141	C₂²×C₇₉	—	2	2	no	—
142	C₂²×C₇₉	—	4	1	no	—
143	C₂²×C₇₉	—	4	1	no	—
144	C₂²×C₇₉	—	4	1	no	—
145	C₂²×C₇₉	—	4	1	no	—
146	C₂²×C₇₉	—	4	1	no	—
147	C₂²×C₇₉	—	4	1	no	—
148	C₂²×C₇₉	—	4	1	no	—
149	C₂²×C₇₉	—	4	1	no	—
150	C₂²×C₇₉	C₂²×D₄	1	1	yes	characteristic
151	C₄×C₇₉	—	2	1	no	—
152	C₄×C₇₉	—	2	1	no	—
153	C₄×C₇₉	—	2	1	no	—
154	C₄×C₇₉	—	2	1	no	—
155	C₄×C₇₉	—	2	1	no	—
156	C₄×C₇₉	—	2	1	no	—
157	C₄×C₇₉	—	4	1	no	—
158	C₄×C₇₉	—	4	1	no	—
159	C₄×C₇₉	—	4	1	no	—
160	C₄×C₇₉	—	4	1	no	—
161	C₄×C₇₉	—	4	1	no	—
162	C₄×C₇₉	C₂×#41	1	1	yes	characteristic
163	C₄×C₇₉	2₋¹⁺⁴	1	1	yes	characteristic
164	C₂×C₇₉	—	4	2	no	—
165	C₂×C₇₉	—	8	1	no	—
166	C₂×C₇₉	—	8	1	no	—
167	C₂×C₇₉	#548	1	1	yes	characteristic
168	C₂×C₇₉	#575	1	1	yes	characteristic
169	C₂×C₇₉	#576	1	1	yes	characteristic
170	#3370	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
171	C₇₉	#3370	1	1	yes	characteristic, direct product factor, Sylow
172	#559	C₂×C₇₉	1	1	yes	characteristic, complemented
173	#554	C₂×C₇₉	1	1	yes	characteristic, complemented
174	#490	C₂×C₇₉	1	1	yes	characteristic, complemented
175	#489	C₂×C₇₉	1	1	yes	characteristic, complemented
176	#488	C₂×C₇₉	1	1	yes	characteristic, complemented
177	#479	C₂×C₇₉	1	1	yes	characteristic, complemented
178	#478	C₂×C₇₉	1	1	yes	characteristic, complemented
179	#474	C₂×C₇₉	1	1	yes	characteristic, complemented
180	#463	C₂×C₇₉	1	1	yes	characteristic, complemented
181	#463	C₂×C₇₉	1	1	yes	characteristic, complemented
182	#459	C₂×C₇₉	1	1	yes	characteristic
183	#446	C₂×C₇₉	1	1	yes	characteristic, complemented
184	#442	C₂×C₇₉	1	1	yes	characteristic, complemented
185	#440	C₂×C₇₉	1	1	yes	characteristic, complemented
186	C₄×D₈	C₂×C₇₉	1	1	yes	characteristic, complemented
187	C₂×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic
188	C₂×D₈	C₂²×C₇₉	1	1	yes	characteristic
189	C₂×D₈	C₂²×C₇₉	1	1	yes	characteristic
190	C₄⋊Q₈	C₂²×C₇₉	1	1	yes	characteristic
191	#127	C₂²×C₇₉	1	1	yes	characteristic
192	#125	C₂²×C₇₉	1	1	yes	characteristic
193	#125	C₂²×C₇₉	1	1	yes	characteristic
194	#124	—	2	1	no	—
195	#124	C₂²×C₇₉	1	1	yes	characteristic
196	#124	C₂²×C₇₉	1	1	yes	characteristic
197	#123	—	2	1	no	—
198	#123	—	2	1	no	—
199	C₂²⋊Q₈	—	2	1	no	—
200	C₂²⋊Q₈	—	2	1	no	—
201	C₂²⋊Q₈	—	2	1	no	—
202	C₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic
203	C₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic
204	C₄×D₄	—	2	1	no	—
205	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
206	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
207	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
208	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
209	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
210	C₂×C₄⋊C₄	—	2	1	no	—
211	#107	C₂²×C₇₉	1	1	yes	characteristic
212	#107	C₂²×C₇₉	1	1	yes	characteristic
213	#106	C₂²×C₇₉	1	1	yes	characteristic
214	C₄⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
215	C₄⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
216	C₄⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
217	#103	C₂²×C₇₉	1	1	yes	characteristic
218	#103	C₂²×C₇₉	1	1	yes	characteristic
219	#103	C₂²×C₇₉	1	1	yes	characteristic
220	#102	C₂²×C₇₉	1	1	yes	characteristic
221	#102	C₂²×C₇₉	1	1	yes	characteristic
222	#102	C₂²×C₇₉	1	1	yes	characteristic
223	#102	C₂²×C₇₉	1	1	yes	characteristic
224	#102	C₂²×C₇₉	1	1	yes	characteristic
225	#102	C₂²×C₇₉	1	1	yes	characteristic
226	#102	C₂²×C₇₉	1	1	yes	characteristic
227	#97	C₂²×C₇₉	1	1	yes	characteristic
228	#97	C₂²×C₇₉	1	1	yes	characteristic
229	C₄×C₈	C₂²×C₇₉	1	1	yes	characteristic
230	C₂×Q₈	—	2	1	no	—
231	C₂×Q₈	D₄×C₇₉	1	1	yes	characteristic
232	C₂×Q₈	C₂³×C₇₉	1	1	yes	characteristic
233	C₂×D₄	—	2	1	no	—
234	C₂×D₄	—	2	1	no	—
235	C₂×D₄	C₂³×C₇₉	1	1	yes	characteristic
236	C₂×D₄	C₂³×C₇₉	1	1	yes	characteristic
237	C₂×D₄	C₂³×C₇₉	1	1	yes	characteristic
238	C₂²×C₄	—	2	1	no	—
239	C₂²×C₄	—	2	1	no	—
240	C₂²×C₄	—	2	1	no	—
241	C₂²×C₄	—	2	1	no	—
242	C₂²×C₄	—	2	1	no	—
243	SD₁₆	—	2	2	no	—
244	D₈	—	2	2	no	—
245	D₈	—	2	2	no	—
246	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
247	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
248	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
249	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
250	C₄⋊C₄	—	2	1	no	—
251	C₄⋊C₄	—	2	1	no	—
252	C₄⋊C₄	—	2	1	no	—
253	C₄⋊C₄	—	2	1	no	—
254	C₄⋊C₄	—	2	1	no	—
255	C₄⋊C₄	—	2	1	no	—
256	C₄⋊C₄	D₄×C₇₉	1	1	yes	characteristic
257	C₄⋊C₄	D₄×C₇₉	1	1	yes	characteristic
258	C₄⋊C₄	D₄×C₇₉	1	1	yes	characteristic
259	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
260	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
261	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
262	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
263	C₂²⋊C₄	—	2	1	no	—
264	C₂²⋊C₄	—	2	1	no	—
265	C₂²⋊C₄	—	2	1	no	—
266	C₂²⋊C₄	—	2	1	no	—
267	C₂²⋊C₄	—	2	1	no	—
268	C₂²⋊C₄	—	2	1	no	—
269	C₂²⋊C₄	—	2	1	no	—
270	C₂²⋊C₄	—	2	1	no	—
271	C₂²⋊C₄	—	2	1	no	—
272	C₄²	—	2	1	no	—
273	C₄²	C₂³×C₇₉	1	1	yes	characteristic
274	C₄²	C₂³×C₇₉	1	1	yes	characteristic
275	C₄²	C₂³×C₇₉	1	1	yes	characteristic
276	C₂³	—	2	1	no	—
277	C₂³	—	2	1	no	—
278	C₂³	—	2	1	no	—
279	Q₈	—	2	1	no	—
280	Q₈	—	2	1	no	—
281	Q₈	—	4	1	no	—
282	Q₈	—	8	1	no	—
283	D₄	—	2	1	no	—
284	D₄	—	2	1	no	—
285	D₄	—	2	1	no	—
286	D₄	—	2	1	no	—
287	D₄	—	2	1	no	—
288	D₄	—	4	2	no	—
289	D₄	—	8	1	no	—
290	D₄	#41×C₇₉	1	2	yes	—
291	C₂×C₄	—	2	1	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	4	2	no	—
297	C₂×C₄	—	8	1	no	—
298	C₂×C₄	—	8	1	no	—
299	C₂×C₄	—	8	1	no	—
300	C₂×C₄	—	8	1	no	—
301	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
302	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
303	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
304	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
305	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
306	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
307	C₂×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
308	C₈	—	2	1	no	—
309	C₈	—	2	1	no	—
310	C₈	—	2	1	no	—
311	C₈	—	2	1	no	—
312	C₂²	—	2	2	no	—
313	C₂²	—	4	1	no	—
314	C₂²	—	4	1	no	—
315	C₂²	—	4	1	no	—
316	C₂²	—	4	1	no	—
317	C₂²	—	4	1	no	—
318	C₂²	—	4	1	no	—
319	C₂²	—	4	1	no	—
320	C₂²	—	4	1	no	—
321	C₂²	C₂²×D₄×C₇₉	1	1	yes	characteristic
322	C₄	—	2	1	no	—
323	C₄	—	2	1	no	—
324	C₄	—	2	1	no	—
325	C₄	—	2	1	no	—
326	C₄	—	2	1	no	—
327	C₄	—	2	1	no	—
328	C₄	—	4	1	no	—
329	C₄	—	4	1	no	—
330	C₄	—	4	1	no	—
331	C₄	—	4	1	no	—
332	C₄	—	4	1	no	—
333	C₄	C₂×#41×C₇₉	1	1	yes	characteristic
334	C₄	2₋¹⁺⁴×C₇₉	1	1	yes	characteristic
335	C₂	—	4	2	no	—
336	C₂	—	8	1	no	—
337	C₂	—	8	1	no	—
338	C₂	#548×C₇₉	1	1	yes	characteristic
339	C₂	#575×C₇₉	1	1	yes	characteristic
340	C₂	#576×C₇₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₉	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₇₉
prime radical	#459×C₇₉	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₉ ◁ C₄×Q₈×C₇₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. #559×C₇₉	C₂	semidirect
2. #554×C₇₉	C₂	semidirect
3. #490×C₇₉	C₂	semidirect
4. #489×C₇₉	C₂	semidirect
5. #488×C₇₉	C₂	semidirect
6. #479×C₇₉	C₂	semidirect
7. #478×C₇₉	C₂	semidirect
8. #474×C₇₉	C₂	semidirect
9. #463×C₇₉	C₂	semidirect
10. #463×C₇₉	C₂	semidirect
12. #446×C₇₉	C₂	semidirect
13. #442×C₇₉	C₂	semidirect
14. #440×C₇₉	C₂	semidirect
15. C₄×D₈×C₇₉	C₂	semidirect
170. #3370	C₇₉	direct (N × H)
171. C₇₉	#3370	direct (N × H)
172. #559	C₂×C₇₉	semidirect
173. #554	C₂×C₇₉	semidirect
174. #490	C₂×C₇₉	semidirect
175. #489	C₂×C₇₉	semidirect
176. #488	C₂×C₇₉	semidirect
177. #479	C₂×C₇₉	semidirect
178. #478	C₂×C₇₉	semidirect
179. #474	C₂×C₇₉	semidirect
180. #463	C₂×C₇₉	semidirect
181. #463	C₂×C₇₉	semidirect
183. #446	C₂×C₇₉	semidirect
184. #442	C₂×C₇₉	semidirect
185. #440	C₂×C₇₉	semidirect
186. C₄×D₈	C₂×C₇₉	semidirect

Maximal subgroups

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

subgroup	index
#559×C₇₉	2
#554×C₇₉	2
#490×C₇₉	2
#489×C₇₉	2
#488×C₇₉	2
#479×C₇₉	2
#478×C₇₉	2
#474×C₇₉	2
#463×C₇₉	2
#459×C₇₉	2
#446×C₇₉	2
#442×C₇₉	2
#440×C₇₉	2
C₄×D₈×C₇₉	2
#3370	79

Subgroups — C79×#3370 #23760992

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#3370 #23760992