Subgroups — C₇₉×#3337 #23760959

Order 10112.

354 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#553×C₇₉	C₂	1	1	yes	maximal, characteristic
2	#552×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#499×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#485×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#484×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#482×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#480×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#479×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#478×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#465×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#465×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄×SD₁₆×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈×D₄×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#427×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#106×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic
17	C₂²×C₈×C₇₉	C₂²	1	1	yes	characteristic
18	C₂²×C₈×C₇₉	C₂²	1	1	yes	characteristic
19	#126×C₇₉	—	2	1	no	—
20	#126×C₇₉	—	2	1	no	—
21	#125×C₇₉	—	2	1	no	—
22	#125×C₇₉	C₂²	1	1	yes	characteristic
23	#125×C₇₉	C₂²	1	1	yes	characteristic
24	#123×C₇₉	—	2	1	no	—
25	#123×C₇₉	—	2	1	no	—
26	C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
27	C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
28	#121×C₇₉	—	2	1	no	—
29	#121×C₇₉	C₂²	1	1	yes	characteristic
30	#121×C₇₉	C₂²	1	1	yes	characteristic
31	C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
32	C₄×D₄×C₇₉	—	2	1	no	—
33	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
34	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
35	#117×C₇₉	—	2	1	no	—
36	#117×C₇₉	C₂²	1	1	yes	characteristic
37	#117×C₇₉	C₂²	1	1	yes	characteristic
38	C₂×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
40	#107×C₇₉	C₂²	1	1	yes	characteristic
41	#107×C₇₉	C₂²	1	1	yes	characteristic
42	#107×C₇₉	C₂²	1	1	yes	characteristic
43	#107×C₇₉	C₂²	1	1	yes	characteristic
44	#106×C₇₉	C₂²	1	1	yes	characteristic
45	#106×C₇₉	C₂²	1	1	yes	characteristic
46	#106×C₇₉	C₂²	1	1	yes	characteristic
47	#106×C₇₉	C₂²	1	1	yes	characteristic
48	#106×C₇₉	C₂²	1	1	yes	characteristic
49	C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
50	#103×C₇₉	C₂²	1	1	yes	characteristic
51	#103×C₇₉	C₂²	1	1	yes	characteristic
52	#103×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	C₂²⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
57	C₂²⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
58	C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
59	C₂×Q₈×C₇₉	C₂³	1	1	yes	characteristic
60	C₂×D₄×C₇₉	—	2	1	no	—
61	C₂×D₄×C₇₉	—	2	1	no	—
62	C₂×D₄×C₇₉	D₄	1	1	yes	characteristic
63	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₇₉	—	2	1	no	—
65	C₂²×C₄×C₇₉	—	2	1	no	—
66	C₂²×C₄×C₇₉	—	2	1	no	—
67	C₂²×C₄×C₇₉	C₂³	1	1	yes	characteristic
68	C₂²×C₄×C₇₉	C₂³	1	1	yes	characteristic
69	SD₁₆×C₇₉	—	2	2	no	—
70	C₂×C₈×C₇₉	—	2	2	no	—
71	C₂×C₈×C₇₉	—	2	2	no	—
72	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
73	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
74	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
75	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
76	C₄⋊C₄×C₇₉	—	2	1	no	—
77	C₄⋊C₄×C₇₉	—	2	1	no	—
78	C₄⋊C₄×C₇₉	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
87	C₄⋊C₄×C₇₉	C₂³	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	D₄	1	1	yes	characteristic
100	C₂²⋊C₄×C₇₉	D₄	1	1	yes	characteristic
101	C₄²×C₇₉	—	2	1	no	—
102	C₄²×C₇₉	—	2	1	no	—
103	C₄²×C₇₉	—	2	1	no	—
104	C₄²×C₇₉	C₂³	1	1	yes	characteristic
105	C₂³×C₇₉	—	2	1	no	—
106	C₂³×C₇₉	C₂×D₄	1	1	yes	characteristic
107	C₂³×C₇₉	C₂×D₄	1	1	yes	characteristic
108	Q₈×C₇₉	—	2	1	no	—
109	Q₈×C₇₉	—	2	1	no	—
110	D₄×C₇₉	—	2	2	no	—
111	D₄×C₇₉	—	2	1	no	—
112	D₄×C₇₉	—	2	1	no	—
113	D₄×C₇₉	—	4	2	no	—
114	D₄×C₇₉	—	8	1	no	—
115	C₂×C₄×C₇₉	—	2	1	no	—
116	C₂×C₄×C₇₉	—	2	1	no	—
117	C₂×C₄×C₇₉	—	2	1	no	—
118	C₂×C₄×C₇₉	—	2	1	no	—
119	C₂×C₄×C₇₉	—	2	1	no	—
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	—	2	1	no	—
126	C₂×C₄×C₇₉	—	4	2	no	—
127	C₂×C₄×C₇₉	—	8	1	no	—
128	C₂×C₄×C₇₉	—	8	1	no	—
129	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
134	C₈×C₇₉	—	2	1	no	—
135	C₈×C₇₉	—	2	1	no	—
136	C₈×C₇₉	—	2	1	no	—
137	C₈×C₇₉	#41	1	2	yes	—
138	C₂²×C₇₉	—	2	1	no	—
139	C₂²×C₇₉	—	2	1	no	—
140	C₂²×C₇₉	—	2	1	no	—
141	C₂²×C₇₉	—	2	1	no	—
142	C₂²×C₇₉	—	2	1	no	—
143	C₂²×C₇₉	—	4	1	no	—
144	C₂²×C₇₉	—	4	1	no	—
145	C₂²×C₇₉	—	4	1	no	—
146	C₂²×C₇₉	#135	1	2	yes	—
147	C₂²×C₇₉	C₂²×D₄	1	1	yes	characteristic
148	C₄×C₇₉	—	2	1	no	—
149	C₄×C₇₉	—	2	1	no	—
150	C₄×C₇₉	—	2	1	no	—
151	C₄×C₇₉	—	2	1	no	—
152	C₄×C₇₉	—	4	1	no	—
153	C₄×C₇₉	—	4	1	no	—
154	C₄×C₇₉	—	4	1	no	—
155	C₄×C₇₉	—	4	1	no	—
156	C₄×C₇₉	—	4	1	no	—
157	C₄×C₇₉	—	4	1	no	—
158	C₄×C₇₉	—	4	1	no	—
159	C₄×C₇₉	C₂×#41	1	1	yes	characteristic
160	C₄×C₇₉	2₋¹⁺⁴	1	1	yes	characteristic
161	C₂×C₇₉	—	2	2	no	—
162	C₂×C₇₉	—	4	1	no	—
163	C₂×C₇₉	—	8	1	no	—
164	C₂×C₇₉	#547	1	1	yes	characteristic
165	C₂×C₇₉	C₂×#135	1	1	yes	characteristic
166	C₂×C₇₉	#577	1	1	yes	characteristic
167	#3337	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
168	C₇₉	#3337	1	1	yes	characteristic, direct product factor, Sylow
169	#553	C₂×C₇₉	1	1	yes	characteristic
170	#552	C₂×C₇₉	1	1	yes	characteristic, complemented
171	#499	C₂×C₇₉	1	1	yes	characteristic, complemented
172	#485	C₂×C₇₉	1	1	yes	characteristic, complemented
173	#484	C₂×C₇₉	1	1	yes	characteristic, complemented
174	#482	C₂×C₇₉	1	1	yes	characteristic, complemented
175	#480	C₂×C₇₉	1	1	yes	characteristic, complemented
176	#479	C₂×C₇₉	1	1	yes	characteristic, complemented
177	#478	C₂×C₇₉	1	1	yes	characteristic, complemented
178	#465	C₂×C₇₉	1	1	yes	characteristic, complemented
179	#465	C₂×C₇₉	1	1	yes	characteristic, complemented
180	C₄×SD₁₆	C₂×C₇₉	1	1	yes	characteristic, complemented
181	C₈×D₄	C₂×C₇₉	1	1	yes	characteristic, complemented
182	#427	C₂×C₇₉	1	1	yes	characteristic, complemented
183	C₂×#106	C₂×C₇₉	1	1	yes	characteristic, complemented
184	C₂×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic
185	C₂²×C₈	C₂²×C₇₉	1	1	yes	characteristic
186	C₂²×C₈	C₂²×C₇₉	1	1	yes	characteristic
187	#126	—	2	1	no	—
188	#126	—	2	1	no	—
189	#125	—	2	1	no	—
190	#125	C₂²×C₇₉	1	1	yes	characteristic
191	#125	C₂²×C₇₉	1	1	yes	characteristic
192	#123	—	2	1	no	—
193	#123	—	2	1	no	—
194	C₂²⋊Q₈	C₂²×C₇₉	1	1	yes	characteristic
195	C₂²⋊Q₈	C₂²×C₇₉	1	1	yes	characteristic
196	#121	—	2	1	no	—
197	#121	C₂²×C₇₉	1	1	yes	characteristic
198	#121	C₂²×C₇₉	1	1	yes	characteristic
199	C₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic
200	C₄×D₄	—	2	1	no	—
201	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
202	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
203	#117	—	2	1	no	—
204	#117	C₂²×C₇₉	1	1	yes	characteristic
205	#117	C₂²×C₇₉	1	1	yes	characteristic
206	C₂×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
207	C₂×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
208	#107	C₂²×C₇₉	1	1	yes	characteristic
209	#107	C₂²×C₇₉	1	1	yes	characteristic
210	#107	C₂²×C₇₉	1	1	yes	characteristic
211	#107	C₂²×C₇₉	1	1	yes	characteristic
212	#106	C₂²×C₇₉	1	1	yes	characteristic
213	#106	C₂²×C₇₉	1	1	yes	characteristic
214	#106	C₂²×C₇₉	1	1	yes	characteristic
215	#106	C₂²×C₇₉	1	1	yes	characteristic
216	#106	C₂²×C₇₉	1	1	yes	characteristic
217	C₄⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
218	#103	C₂²×C₇₉	1	1	yes	characteristic
219	#103	C₂²×C₇₉	1	1	yes	characteristic
220	#103	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	C₂²⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
225	C₂²⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
226	C₄×C₈	C₂²×C₇₉	1	1	yes	characteristic
227	C₂×Q₈	C₂³×C₇₉	1	1	yes	characteristic
228	C₂×D₄	—	2	1	no	—
229	C₂×D₄	—	2	1	no	—
230	C₂×D₄	D₄×C₇₉	1	1	yes	characteristic
231	C₂×D₄	C₂³×C₇₉	1	1	yes	characteristic
232	C₂²×C₄	—	2	1	no	—
233	C₂²×C₄	—	2	1	no	—
234	C₂²×C₄	—	2	1	no	—
235	C₂²×C₄	C₂³×C₇₉	1	1	yes	characteristic
236	C₂²×C₄	C₂³×C₇₉	1	1	yes	characteristic
237	SD₁₆	—	2	2	no	—
238	C₂×C₈	—	2	2	no	—
239	C₂×C₈	—	2	2	no	—
240	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
241	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
242	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
243	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
244	C₄⋊C₄	—	2	1	no	—
245	C₄⋊C₄	—	2	1	no	—
246	C₄⋊C₄	—	2	1	no	—
247	C₄⋊C₄	—	2	1	no	—
248	C₄⋊C₄	—	2	1	no	—
249	C₄⋊C₄	—	2	1	no	—
250	C₄⋊C₄	—	2	1	no	—
251	C₄⋊C₄	—	2	1	no	—
252	C₄⋊C₄	—	2	1	no	—
253	C₄⋊C₄	D₄×C₇₉	1	1	yes	characteristic
254	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
255	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
256	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
257	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
258	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
259	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
260	C₂²⋊C₄	—	2	1	no	—
261	C₂²⋊C₄	—	2	1	no	—
262	C₂²⋊C₄	—	2	1	no	—
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	D₄×C₇₉	1	1	yes	characteristic
268	C₂²⋊C₄	D₄×C₇₉	1	1	yes	characteristic
269	C₄²	—	2	1	no	—
270	C₄²	—	2	1	no	—
271	C₄²	—	2	1	no	—
272	C₄²	C₂³×C₇₉	1	1	yes	characteristic
273	C₂³	—	2	1	no	—
274	C₂³	C₂×D₄×C₇₉	1	1	yes	characteristic
275	C₂³	C₂×D₄×C₇₉	1	1	yes	characteristic
276	Q₈	—	2	1	no	—
277	Q₈	—	2	1	no	—
278	D₄	—	2	2	no	—
279	D₄	—	2	1	no	—
280	D₄	—	2	1	no	—
281	D₄	—	4	2	no	—
282	D₄	—	8	1	no	—
283	C₂×C₄	—	2	1	no	—
284	C₂×C₄	—	2	1	no	—
285	C₂×C₄	—	2	1	no	—
286	C₂×C₄	—	2	1	no	—
287	C₂×C₄	—	2	1	no	—
288	C₂×C₄	—	2	1	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	2	1	no	—
291	C₂×C₄	—	2	1	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	4	2	no	—
295	C₂×C₄	—	8	1	no	—
296	C₂×C₄	—	8	1	no	—
297	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
298	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
299	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
300	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
301	C₂×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
302	C₈	—	2	1	no	—
303	C₈	—	2	1	no	—
304	C₈	—	2	1	no	—
305	C₈	#41×C₇₉	1	2	yes	—
306	C₂²	—	2	1	no	—
307	C₂²	—	2	1	no	—
308	C₂²	—	2	1	no	—
309	C₂²	—	2	1	no	—
310	C₂²	—	2	1	no	—
311	C₂²	—	4	1	no	—
312	C₂²	—	4	1	no	—
313	C₂²	—	4	1	no	—
314	C₂²	#135×C₇₉	1	2	yes	—
315	C₂²	C₂²×D₄×C₇₉	1	1	yes	characteristic
316	C₄	—	2	1	no	—
317	C₄	—	2	1	no	—
318	C₄	—	2	1	no	—
319	C₄	—	2	1	no	—
320	C₄	—	4	1	no	—
321	C₄	—	4	1	no	—
322	C₄	—	4	1	no	—
323	C₄	—	4	1	no	—
324	C₄	—	4	1	no	—
325	C₄	—	4	1	no	—
326	C₄	—	4	1	no	—
327	C₄	C₂×#41×C₇₉	1	1	yes	characteristic
328	C₄	2₋¹⁺⁴×C₇₉	1	1	yes	characteristic
329	C₂	—	2	2	no	—
330	C₂	—	4	1	no	—
331	C₂	—	8	1	no	—
332	C₂	#547×C₇₉	1	1	yes	characteristic
333	C₂	C₂×#135×C₇₉	1	1	yes	characteristic
334	C₂	#577×C₇₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₉	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₇₉
prime radical	#553×C₇₉	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₉ ◁ C₄×D₄×C₇₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. #552×C₇₉	C₂	semidirect
3. #499×C₇₉	C₂	semidirect
4. #485×C₇₉	C₂	semidirect
5. #484×C₇₉	C₂	semidirect
6. #482×C₇₉	C₂	semidirect
7. #480×C₇₉	C₂	semidirect
8. #479×C₇₉	C₂	semidirect
9. #478×C₇₉	C₂	semidirect
10. #465×C₇₉	C₂	semidirect
11. #465×C₇₉	C₂	semidirect
12. C₄×SD₁₆×C₇₉	C₂	semidirect
13. C₈×D₄×C₇₉	C₂	semidirect
14. #427×C₇₉	C₂	semidirect
15. C₂×#106×C₇₉	C₂	semidirect
167. #3337	C₇₉	direct (N × H)
168. C₇₉	#3337	direct (N × H)
170. #552	C₂×C₇₉	semidirect
171. #499	C₂×C₇₉	semidirect
172. #485	C₂×C₇₉	semidirect
173. #484	C₂×C₇₉	semidirect
174. #482	C₂×C₇₉	semidirect
175. #480	C₂×C₇₉	semidirect
176. #479	C₂×C₇₉	semidirect
177. #478	C₂×C₇₉	semidirect
178. #465	C₂×C₇₉	semidirect
179. #465	C₂×C₇₉	semidirect
180. C₄×SD₁₆	C₂×C₇₉	semidirect
181. C₈×D₄	C₂×C₇₉	semidirect
182. #427	C₂×C₇₉	semidirect
183. C₂×#106	C₂×C₇₉	semidirect

Maximal subgroups

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

subgroup	index
#553×C₇₉	2
#552×C₇₉	2
#499×C₇₉	2
#485×C₇₉	2
#484×C₇₉	2
#482×C₇₉	2
#480×C₇₉	2
#479×C₇₉	2
#478×C₇₉	2
#465×C₇₉	2
C₄×SD₁₆×C₇₉	2
C₈×D₄×C₇₉	2
#427×C₇₉	2
C₂×#106×C₇₉	2
#3337	79

Subgroups — C79×#3337 #23760959

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#3337 #23760959