Subgroups — C₇₉×#12996 #34124685

Order 20224.

512 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#472×C₇₉	C₂	1	1	yes	maximal, characteristic
2	C₇₉×#2913	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₉×#2140	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#357×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#350×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₉×#1387	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₉×#1382	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×AGL(1,ℤ/8)×C₇₉	—	2	1	no	—
9	C₂²×D₈×C₇₉	C₂²	1	1	yes	characteristic
10	C₂×#131×C₇₉	C₂²	1	1	yes	characteristic
11	#520×C₇₉	—	2	1	no	—
12	C₂×M₃₂×C₇₉	C₂²	1	1	yes	characteristic
13	C₂²×C₁₆×C₇₉	C₂²	1	1	yes	characteristic
14	#472×C₇₉	—	2	2	no	—
15	#472×C₇₉	C₄	1	4	yes	complemented
16	C₂×#108×C₇₉	C₂²	1	1	yes	characteristic
17	#428×C₇₉	—	2	1	no	—
18	#428×C₇₉	—	2	2	no	—
19	#427×C₇₉	—	2	1	no	—
20	#427×C₇₉	C₂²	1	1	yes	characteristic
21	C₂×#107×C₇₉	—	2	1	no	—
22	C₂×#107×C₇₉	C₂²	1	1	yes	characteristic
23	C₂×#100×C₇₉	—	2	1	no	—
24	#357×C₇₉	—	2	2	no	—
25	#357×C₇₉	—	2	1	no	—
26	#357×C₇₉	—	2	1	no	—
27	#350×C₇₉	—	2	2	no	—
28	C₂×#41×C₇₉	D₄	1	1	yes	characteristic
29	C₂²×D₄×C₇₉	—	2	1	no	—
30	AGL(1,ℤ/8)×C₇₉	—	2	4	no	—
31	AGL(1,ℤ/8)×C₇₉	—	4	2	no	—
32	C₂×SD₁₆×C₇₉	—	4	1	no	—
33	C₂×D₈×C₇₉	—	2	1	no	—
34	C₂×D₈×C₇₉	—	2	1	no	—
35	C₂×D₈×C₇₉	—	2	1	no	—
36	C₂×D₈×C₇₉	—	2	1	no	—
37	C₂×D₈×C₇₉	—	2	1	no	—
38	C₂×D₈×C₇₉	—	4	1	no	—
39	C₂×D₈×C₇₉	C₂×C₄	1	2	yes	complemented
40	#131×C₇₉	—	2	1	no	—
41	#131×C₇₉	—	2	1	no	—
42	#131×C₇₉	C₂×C₄	1	2	yes	—
43	#131×C₇₉	D₄	1	2	yes	—
44	C₂×M₁₆×C₇₉	—	2	1	no	—
45	C₂×M₁₆×C₇₉	—	2	1	no	—
46	C₂×M₁₆×C₇₉	D₄	1	1	yes	characteristic
47	C₂²×C₈×C₇₉	—	2	1	no	—
48	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
49	C₄×Q₈×C₇₉	—	4	1	no	—
50	C₄×D₄×C₇₉	—	4	2	no	—
51	C₄×D₄×C₇₉	—	4	1	no	—
52	#117×C₇₉	—	2	2	no	—
53	#117×C₇₉	—	2	1	no	—
54	C₂×C₄⋊C₄×C₇₉	—	2	2	no	—
55	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
56	M₃₂×C₇₉	—	2	1	no	—
57	M₃₂×C₇₉	—	2	1	no	—
58	C₂×C₁₆×C₇₉	—	2	1	no	—
59	C₂×C₁₆×C₇₉	—	2	1	no	—
60	C₂×C₁₆×C₇₉	—	2	1	no	—
61	C₂×C₁₆×C₇₉	—	2	1	no	—
62	#108×C₇₉	—	2	1	no	—
63	#108×C₇₉	C₂×C₄	1	2	yes	complemented
64	#107×C₇₉	—	2	2	no	—
65	#107×C₇₉	—	2	1	no	—
66	#107×C₇₉	D₄	1	1	yes	characteristic
67	#107×C₇₉	D₄	1	2	yes	—
68	#107×C₇₉	D₄	1	1	yes	characteristic
69	#106×C₇₉	—	2	2	no	—
70	#106×C₇₉	—	2	1	no	—
71	#100×C₇₉	—	2	4	no	—
72	C₂⁴×C₇₉	—	4	1	no	—
73	#41×C₇₉	—	2	1	no	—
74	#41×C₇₉	—	2	1	no	—
75	#41×C₇₉	C₂²⋊C₄	1	2	yes	—
76	#41×C₇₉	SD₁₆	1	2	yes	—
77	C₂×Q₈×C₇₉	D₈	1	1	yes	characteristic
78	C₂×D₄×C₇₉	—	2	1	no	—
79	C₂×D₄×C₇₉	—	2	2	no	—
80	C₂×D₄×C₇₉	—	4	1	no	—
81	C₂×D₄×C₇₉	—	4	1	no	—
82	C₂×D₄×C₇₉	—	4	1	no	—
83	C₂×D₄×C₇₉	—	4	1	no	—
84	C₂×D₄×C₇₉	—	4	1	no	—
85	C₂×D₄×C₇₉	D₈	1	1	yes	characteristic
86	C₂²×C₄×C₇₉	—	2	1	no	—
87	C₂²×C₄×C₇₉	—	4	2	no	—
88	C₂²×C₄×C₇₉	—	4	1	no	—
89	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
90	SD₁₆×C₇₉	—	4	4	no	—
91	D₈×C₇₉	—	2	2	no	—
92	D₈×C₇₉	—	2	2	no	—
93	D₈×C₇₉	—	4	1	no	—
94	D₈×C₇₉	—	4	1	no	—
95	D₈×C₇₉	—	4	4	no	—
96	M₁₆×C₇₉	—	2	2	no	—
97	M₁₆×C₇₉	—	2	2	no	—
98	M₁₆×C₇₉	—	2	2	no	—
99	M₁₆×C₇₉	—	2	1	no	—
100	M₁₆×C₇₉	—	4	1	no	—
101	M₁₆×C₇₉	C₂²⋊C₄	1	2	yes	—
102	C₂×C₈×C₇₉	—	2	2	no	—
103	C₂×C₈×C₇₉	—	2	2	no	—
104	C₂×C₈×C₇₉	—	2	1	no	—
105	C₂×C₈×C₇₉	—	4	1	no	—
106	C₂×C₈×C₇₉	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₈×C₇₉	C₂×D₄	1	1	yes	characteristic
108	C₂×C₈×C₇₉	C₂×D₄	1	1	yes	characteristic
109	C₂×C₈×C₇₉	C₂×D₄	1	1	yes	characteristic
110	C₂×C₈×C₇₉	#41	1	1	yes	characteristic
111	C₂×C₈×C₇₉	#41	1	1	yes	characteristic
112	C₄⋊C₄×C₇₉	—	2	1	no	—
113	C₄⋊C₄×C₇₉	—	2	2	no	—
114	C₄⋊C₄×C₇₉	—	2	1	no	—
115	C₄⋊C₄×C₇₉	—	4	2	no	—
116	C₄⋊C₄×C₇₉	—	4	1	no	—
117	C₂²⋊C₄×C₇₉	—	4	2	no	—
118	C₂²⋊C₄×C₇₉	—	4	1	no	—
119	C₄²×C₇₉	—	4	2	no	—
120	C₄²×C₇₉	—	4	1	no	—
121	C₁₆×C₇₉	—	4	1	no	—
122	C₁₆×C₇₉	—	4	1	no	—
123	C₂³×C₇₉	—	2	1	no	—
124	C₂³×C₇₉	—	4	2	no	—
125	C₂³×C₇₉	—	8	1	no	—
126	C₂³×C₇₉	—	8	1	no	—
127	C₂³×C₇₉	—	16	1	no	—
128	C₂³×C₇₉	—	16	1	no	—
129	C₂³×C₇₉	AGL(1,ℤ/8)	1	1	yes	characteristic
130	Q₈×C₇₉	—	2	1	no	—
131	Q₈×C₇₉	#102	1	2	yes	—
132	D₄×C₇₉	—	2	2	no	—
133	D₄×C₇₉	—	2	2	no	—
134	D₄×C₇₉	—	2	1	no	—
135	D₄×C₇₉	—	4	2	no	—
136	D₄×C₇₉	—	4	2	no	—
137	D₄×C₇₉	—	8	1	no	—
138	D₄×C₇₉	—	8	1	no	—
139	D₄×C₇₉	#102	1	2	yes	—
140	C₂×C₄×C₇₉	—	2	1	no	—
141	C₂×C₄×C₇₉	—	2	2	no	—
142	C₂×C₄×C₇₉	—	2	2	no	—
143	C₂×C₄×C₇₉	—	4	1	no	—
144	C₂×C₄×C₇₉	—	4	2	no	—
145	C₂×C₄×C₇₉	—	4	1	no	—
146	C₂×C₄×C₇₉	—	16	1	no	—
147	C₂×C₄×C₇₉	—	16	2	no	—
148	C₂×C₄×C₇₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
149	C₂×C₄×C₇₉	#120	1	1	yes	characteristic
150	C₂×C₄×C₇₉	#123	1	1	yes	characteristic
151	C₂×C₄×C₇₉	C₂×D₈	1	1	yes	characteristic
152	C₂×C₄×C₇₉	C₂×SD₁₆	1	1	yes	characteristic
153	C₂×C₄×C₇₉	#137	1	1	yes	characteristic
154	C₈×C₇₉	—	2	2	no	—
155	C₈×C₇₉	—	4	2	no	—
156	C₈×C₇₉	C₄×D₄	1	1	yes	characteristic
157	C₈×C₇₉	C₄×D₄	1	1	yes	characteristic
158	C₈×C₇₉	#121	1	1	yes	characteristic
159	C₈×C₇₉	#121	1	1	yes	characteristic
160	C₂²×C₇₉	—	2	1	no	—
161	C₂²×C₇₉	—	2	1	no	—
162	C₂²×C₇₉	—	2	2	no	—
163	C₂²×C₇₉	—	4	1	no	—
164	C₂²×C₇₉	—	4	1	no	—
165	C₂²×C₇₉	—	8	2	no	—
166	C₂²×C₇₉	—	16	2	no	—
167	C₂²×C₇₉	—	16	2	no	—
168	C₂²×C₇₉	—	16	1	no	—
169	C₂²×C₇₉	—	16	1	no	—
170	C₂²×C₇₉	#417	1	1	yes	characteristic
171	C₂²×C₇₉	#447	1	1	yes	characteristic
172	C₂²×C₇₉	#481	1	1	yes	characteristic
173	C₄×C₇₉	—	2	2	no	—
174	C₄×C₇₉	—	8	2	no	—
175	C₄×C₇₉	—	8	1	no	—
176	C₄×C₇₉	—	8	1	no	—
177	C₄×C₇₉	#386	1	1	yes	characteristic
178	C₄×C₇₉	C₂×#102	1	1	yes	characteristic
179	C₄×C₇₉	#448	1	1	yes	characteristic
180	C₄×C₇₉	#480	1	1	yes	characteristic
181	#12996	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
182	C₂×C₇₉	—	2	1	no	—
183	C₂×C₇₉	—	2	1	no	—
184	C₂×C₇₉	—	4	2	no	—
185	C₂×C₇₉	—	16	2	no	—
186	C₂×C₇₉	#1874	1	1	yes	characteristic
187	C₂×C₇₉	#2192	1	1	yes	characteristic
188	C₂×C₇₉	#2193	1	1	yes	characteristic
189	C₂×#472	C₂×C₇₉	1	1	yes	characteristic
190	#2913	C₂×C₇₉	1	1	yes	characteristic, complemented
191	#2140	C₂×C₇₉	1	1	yes	characteristic, complemented
192	C₂×#357	C₂×C₇₉	1	1	yes	characteristic, complemented
193	C₂×#350	C₂×C₇₉	1	1	yes	characteristic, complemented
194	#1387	C₂×C₇₉	1	1	yes	characteristic, complemented
195	#1382	C₂×C₇₉	1	1	yes	characteristic, complemented
196	C₇₉	#12996	1	1	yes	characteristic, direct product factor, Sylow
197	C₂×AGL(1,ℤ/8)	—	2	1	no	—
198	C₂²×D₈	C₂²×C₇₉	1	1	yes	characteristic
199	C₂×#131	C₂²×C₇₉	1	1	yes	characteristic
200	#520	—	2	1	no	—
201	C₂×M₃₂	C₂²×C₇₉	1	1	yes	characteristic
202	C₂²×C₁₆	C₂²×C₇₉	1	1	yes	characteristic
203	#472	—	2	2	no	—
204	#472	C₄×C₇₉	1	4	yes	complemented
205	C₂×#108	C₂²×C₇₉	1	1	yes	characteristic
206	#428	—	2	1	no	—
207	#428	—	2	2	no	—
208	#427	—	2	1	no	—
209	#427	C₂²×C₇₉	1	1	yes	characteristic
210	C₂×#107	—	2	1	no	—
211	C₂×#107	C₂²×C₇₉	1	1	yes	characteristic
212	C₂×#100	—	2	1	no	—
213	#357	—	2	2	no	—
214	#357	—	2	1	no	—
215	#357	—	2	1	no	—
216	#350	—	2	2	no	—
217	C₂×#41	D₄×C₇₉	1	1	yes	characteristic
218	C₂²×D₄	—	2	1	no	—
219	AGL(1,ℤ/8)	—	2	4	no	—
220	AGL(1,ℤ/8)	—	4	2	no	—
221	C₂×SD₁₆	—	4	1	no	—
222	C₂×D₈	—	2	1	no	—
223	C₂×D₈	—	2	1	no	—
224	C₂×D₈	—	2	1	no	—
225	C₂×D₈	—	2	1	no	—
226	C₂×D₈	—	2	1	no	—
227	C₂×D₈	—	4	1	no	—
228	C₂×D₈	C₂×C₄×C₇₉	1	2	yes	complemented
229	#131	—	2	1	no	—
230	#131	—	2	1	no	—
231	#131	C₂×C₄×C₇₉	1	2	yes	—
232	#131	D₄×C₇₉	1	2	yes	—
233	C₂×M₁₆	—	2	1	no	—
234	C₂×M₁₆	—	2	1	no	—
235	C₂×M₁₆	D₄×C₇₉	1	1	yes	characteristic
236	C₂²×C₈	—	2	1	no	—
237	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
238	C₄×Q₈	—	4	1	no	—
239	C₄×D₄	—	4	2	no	—
240	C₄×D₄	—	4	1	no	—
241	#117	—	2	2	no	—
242	#117	—	2	1	no	—
243	C₂×C₄⋊C₄	—	2	2	no	—
244	C₂×C₄⋊C₄	—	2	1	no	—
245	M₃₂	—	2	1	no	—
246	M₃₂	—	2	1	no	—
247	C₂×C₁₆	—	2	1	no	—
248	C₂×C₁₆	—	2	1	no	—
249	C₂×C₁₆	—	2	1	no	—
250	C₂×C₁₆	—	2	1	no	—
251	#108	—	2	1	no	—
252	#108	C₂×C₄×C₇₉	1	2	yes	complemented
253	#107	—	2	2	no	—
254	#107	—	2	1	no	—
255	#107	D₄×C₇₉	1	1	yes	characteristic
256	#107	D₄×C₇₉	1	2	yes	—
257	#107	D₄×C₇₉	1	1	yes	characteristic
258	#106	—	2	2	no	—
259	#106	—	2	1	no	—
260	#100	—	2	4	no	—
261	C₂⁴	—	4	1	no	—
262	#41	—	2	1	no	—
263	#41	—	2	1	no	—
264	#41	C₂²⋊C₄×C₇₉	1	2	yes	—
265	#41	SD₁₆×C₇₉	1	2	yes	—
266	C₂×Q₈	D₈×C₇₉	1	1	yes	characteristic
267	C₂×D₄	—	2	1	no	—
268	C₂×D₄	—	2	2	no	—
269	C₂×D₄	—	4	1	no	—
270	C₂×D₄	—	4	1	no	—
271	C₂×D₄	—	4	1	no	—
272	C₂×D₄	—	4	1	no	—
273	C₂×D₄	—	4	1	no	—
274	C₂×D₄	D₈×C₇₉	1	1	yes	characteristic
275	C₂²×C₄	—	2	1	no	—
276	C₂²×C₄	—	4	2	no	—
277	C₂²×C₄	—	4	1	no	—
278	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
279	SD₁₆	—	4	4	no	—
280	D₈	—	2	2	no	—
281	D₈	—	2	2	no	—
282	D₈	—	4	4	no	—
283	D₈	—	4	1	no	—
284	D₈	—	4	1	no	—
285	M₁₆	—	2	1	no	—
286	M₁₆	—	2	2	no	—
287	M₁₆	—	2	2	no	—
288	M₁₆	—	2	2	no	—
289	M₁₆	—	4	1	no	—
290	M₁₆	C₂²⋊C₄×C₇₉	1	2	yes	—
291	C₂×C₈	—	2	1	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	4	1	no	—
295	C₂×C₈	C₂²×C₄×C₇₉	1	1	yes	characteristic
296	C₂×C₈	C₂×D₄×C₇₉	1	1	yes	characteristic
297	C₂×C₈	C₂×D₄×C₇₉	1	1	yes	characteristic
298	C₂×C₈	C₂×D₄×C₇₉	1	1	yes	characteristic
299	C₂×C₈	#41×C₇₉	1	1	yes	characteristic
300	C₂×C₈	#41×C₇₉	1	1	yes	characteristic
301	C₄⋊C₄	—	2	1	no	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	—	4	2	no	—
305	C₄⋊C₄	—	4	1	no	—
306	C₂²⋊C₄	—	4	2	no	—
307	C₂²⋊C₄	—	4	1	no	—
308	C₄²	—	4	2	no	—
309	C₄²	—	4	1	no	—
310	C₁₆	—	4	1	no	—
311	C₁₆	—	4	1	no	—
312	C₂³	—	2	1	no	—
313	C₂³	—	4	2	no	—
314	C₂³	—	8	1	no	—
315	C₂³	—	8	1	no	—
316	C₂³	—	16	1	no	—
317	C₂³	—	16	1	no	—
318	C₂³	AGL(1,ℤ/8)×C₇₉	1	1	yes	characteristic
319	Q₈	—	2	1	no	—
320	Q₈	#102×C₇₉	1	2	yes	—
321	D₄	—	2	2	no	—
322	D₄	—	2	2	no	—
323	D₄	—	2	1	no	—
324	D₄	—	4	2	no	—
325	D₄	—	4	2	no	—
326	D₄	—	8	1	no	—
327	D₄	—	8	1	no	—
328	D₄	#102×C₇₉	1	2	yes	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	16	1	no	—
336	C₂×C₄	—	16	2	no	—
337	C₂×C₄	C₂×C₂²⋊C₄×C₇₉	1	1	yes	characteristic
338	C₂×C₄	#120×C₇₉	1	1	yes	characteristic
339	C₂×C₄	#123×C₇₉	1	1	yes	characteristic
340	C₂×C₄	C₂×D₈×C₇₉	1	1	yes	characteristic
341	C₂×C₄	C₂×SD₁₆×C₇₉	1	1	yes	characteristic
342	C₂×C₄	#137×C₇₉	1	1	yes	characteristic
343	C₈	—	2	2	no	—
344	C₈	—	4	2	no	—
345	C₈	C₄×D₄×C₇₉	1	1	yes	characteristic
346	C₈	C₄×D₄×C₇₉	1	1	yes	characteristic
347	C₈	#121×C₇₉	1	1	yes	characteristic
348	C₈	#121×C₇₉	1	1	yes	characteristic
349	C₂²	—	2	1	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	2	2	no	—
352	C₂²	—	4	1	no	—
353	C₂²	—	4	1	no	—
354	C₂²	—	8	2	no	—
355	C₂²	—	16	2	no	—
356	C₂²	—	16	2	no	—
357	C₂²	—	16	1	no	—
358	C₂²	—	16	1	no	—
359	C₂²	#417×C₇₉	1	1	yes	characteristic
360	C₂²	#447×C₇₉	1	1	yes	characteristic
361	C₂²	#481×C₇₉	1	1	yes	characteristic
362	C₄	—	2	2	no	—
363	C₄	—	8	2	no	—
364	C₄	—	8	1	no	—
365	C₄	—	8	1	no	—
366	C₄	#386×C₇₉	1	1	yes	characteristic
367	C₄	C₂×#102×C₇₉	1	1	yes	characteristic
368	C₄	#448×C₇₉	1	1	yes	characteristic
369	C₄	#480×C₇₉	1	1	yes	characteristic
370	C₂	—	2	1	no	—
371	C₂	—	2	1	no	—
372	C₂	—	4	2	no	—
373	C₂	—	16	2	no	—
374	C₂	C₇₉×#1874	1	1	yes	characteristic
375	C₂	C₇₉×#2192	1	1	yes	characteristic
376	C₂	C₇₉×#2193	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₉	#447
commutator	C₂×C₈	C₂²×C₄×C₇₉
Frattini, cosocle	C₂²×C₈	C₂³×C₇₉
prime radical	C₂×#472×C₇₉	C₂
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₉ ◁ C₂²×C₄×C₇₉ ◁ C₂×#131×C₇₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇₉×#2913	C₂	semidirect
3. C₇₉×#2140	C₂	semidirect
4. C₂×#357×C₇₉	C₂	semidirect
5. C₂×#350×C₇₉	C₂	semidirect
6. C₇₉×#1387	C₂	semidirect
7. C₇₉×#1382	C₂	semidirect
15. #472×C₇₉	C₄	semidirect
39. C₂×D₈×C₇₉	C₂×C₄	semidirect
63. #108×C₇₉	C₂×C₄	semidirect
181. #12996	C₇₉	direct (N × H)
190. #2913	C₂×C₇₉	semidirect
191. #2140	C₂×C₇₉	semidirect
192. C₂×#357	C₂×C₇₉	semidirect
193. C₂×#350	C₂×C₇₉	semidirect
194. #1387	C₂×C₇₉	semidirect
195. #1382	C₂×C₇₉	semidirect
196. C₇₉	#12996	direct (N × H)
204. #472	C₄×C₇₉	semidirect
228. C₂×D₈	C₂×C₄×C₇₉	semidirect
252. #108	C₂×C₄×C₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#472×C₇₉	2
C₇₉×#2913	2
C₇₉×#2140	2
C₂×#357×C₇₉	2
C₂×#350×C₇₉	2
C₇₉×#1387	2
C₇₉×#1382	2
#12996	79

Subgroups — C79×#12996 #34124685

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#12996 #34124685