Subgroups — C₂×C₈×#11929607 #34253840

Order 20224.

1046 conjugacy classes of subgroups.

The subgroup lattice has 328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19098614	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×#11929607	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₈×D₇₉	C₂	1	1	yes	maximal, characteristic
4	C₈×#11929607	C₂	1	8	yes	maximal, direct product factor
5	C₂×#19098285	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19098284	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₈×C₇₉⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₈²×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#11929607	C₄	1	2	yes	—
10	C₂²×C₈×D₇₉	C₄	1	2	yes	—
11	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
12	#19098614	C₄	1	4	yes	—
13	#19098614	C₂²	1	4	yes	—
14	C₂×Dic₇₉⋊C₈	C₄	1	2	yes	—
15	C₂×(C₂×D₇₉)⋊C₈	C₄	1	2	yes	—
16	C₄×#11929607	C₄	1	4	yes	—
17	C₄×#11929607	C₂²	1	4	yes	—
18	C₂×#14579071	C₄	1	2	yes	—
19	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
20	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
21	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
22	C₂×C₈×Dic₇₉	C₄	1	2	yes	—
23	C₄×C₈×D₇₉	C₄	1	4	yes	—
24	C₄×C₈×D₇₉	C₂²	1	4	yes	—
25	#19098285	C₂²	1	4	yes	complemented
26	#19098284	C₂²	1	4	yes	complemented
27	C₈×C₇₉⋊C₈	C₂²	1	4	yes	complemented
28	C₂×C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
29	C₂×C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
30	C₂×C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
31	C₈²×C₇₉	C₂²	1	4	yes	complemented
32	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
34	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
35	C₂×#11929607	C₈	1	16	yes	direct product factor
36	C₂×#11929607	C₂×C₄	1	8	yes	—
37	C₂²×C₇₉⋊C₈	C₂×C₄	1	2	yes	—
38	C₂²×C₇₉⋊C₈	C₂×C₄	1	2	yes	—
39	C₂²×C₇₉⋊C₈	C₂×C₄	1	2	yes	—
40	C₂×C₈×D₇₉	—	2	8	no	—
41	C₂×C₈×D₇₉	C₂×C₄	1	8	yes	—
42	C₂×C₄×Dic₇₉	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄×Dic₇₉	C₂×C₄	1	1	yes	characteristic
44	C₂×C₄×Dic₇₉	C₂×C₄	1	1	yes	characteristic
45	C₄²×D₇₉	C₂×C₄	1	2	yes	—
46	C₄²×D₇₉	C₂×C₄	1	2	yes	—
47	C₄²×D₇₉	C₂×C₄	1	2	yes	—
48	C₄²×D₇₉	C₂³	1	2	yes	—
49	Dic₇₉⋊C₈	C₂×C₄	1	8	yes	—
50	(C₂×D₇₉)⋊C₈	C₂×C₄	1	8	yes	—
51	#14579071	C₂×C₄	1	8	yes	—
52	C₄×C₇₉⋊C₈	C₂×C₄	1	2	yes	—
53	C₄×C₇₉⋊C₈	C₂×C₄	1	2	yes	—
54	C₄×C₇₉⋊C₈	C₂×C₄	1	2	yes	—
55	C₄×C₇₉⋊C₈	C₂³	1	2	yes	—
56	C₄×C₇₉⋊C₈	C₂³	1	2	yes	—
57	C₄×C₇₉⋊C₈	C₂³	1	2	yes	—
58	C₈×Dic₇₉	C₂×C₄	1	8	yes	—
59	C₂²×C₈×C₇₉	C₂×C₄	1	2	yes	—
60	C₂²×C₈×C₇₉	C₂×C₄	1	2	yes	—
61	C₂²×C₈×C₇₉	C₂×C₄	1	2	yes	—
62	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
63	C₄×C₈×C₇₉	C₂×C₄	1	2	yes	—
64	C₄×C₈×C₇₉	C₂×C₄	1	2	yes	—
65	C₄×C₈×C₇₉	C₂×C₄	1	2	yes	—
66	C₄×C₈×C₇₉	C₂³	1	2	yes	—
67	C₄×C₈×C₇₉	C₂³	1	2	yes	—
68	C₄×C₈×C₇₉	C₂³	1	2	yes	—
69	C₂³×D₇₉	C₄²	1	1	yes	characteristic
70	C₂²×Dic₇₉	C₄²	1	1	yes	characteristic
71	C₂²×Dic₇₉	C₄²	1	1	yes	characteristic
72	C₂²×Dic₇₉	C₄²	1	1	yes	characteristic
73	C₂×C₄×D₇₉	—	2	4	no	—
74	C₂×C₄×D₇₉	—	2	4	no	—
75	C₂×C₄×D₇₉	C₄²	1	2	yes	—
76	C₂×C₄×D₇₉	C₄²	1	2	yes	—
77	C₂×C₄×D₇₉	C₄²	1	2	yes	—
78	C₂×C₄×D₇₉	C₂×C₈	1	8	yes	—
79	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
80	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
81	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
82	#11929607	C₂×C₈	1	32	yes	direct product factor
83	C₂×C₇₉⋊C₈	—	2	4	no	—
84	C₂×C₇₉⋊C₈	—	2	4	no	—
85	C₂×C₇₉⋊C₈	C₂×C₈	1	8	yes	complemented
86	C₂×C₇₉⋊C₈	C₂²×C₄	1	4	yes	—
87	C₂×C₇₉⋊C₈	C₂²×C₄	1	4	yes	—
88	C₂×C₇₉⋊C₈	C₂²×C₄	1	4	yes	—
89	C₈×D₇₉	—	2	16	no	—
90	C₄×Dic₇₉	C₄²	1	2	yes	—
91	C₄×Dic₇₉	C₄²	1	2	yes	—
92	C₄×Dic₇₉	C₄²	1	2	yes	—
93	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
94	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
95	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
96	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
97	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
98	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₈×C₇₉	—	2	4	no	—
100	C₂×C₈×C₇₉	C₂×C₈	1	8	yes	complemented
101	C₂×C₈×C₇₉	M₁₆	1	8	yes	complemented
102	C₂×C₈×C₇₉	C₂²×C₄	1	4	yes	—
103	C₂×C₈×C₇₉	C₂²×C₄	1	4	yes	—
104	C₂×C₈×C₇₉	C₂²×C₄	1	4	yes	—
105	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
106	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
107	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
108	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
109	C₂³×C₇₉	C₂×C₄²	1	1	yes	characteristic
110	C₂²×D₇₉	—	2	2	no	—
111	C₂²×D₇₉	—	2	2	no	—
112	C₂²×D₇₉	C₄×C₈	1	4	yes	—
113	C₂²×D₇₉	C₂×C₄²	1	2	yes	—
114	C₂×C₄×C₇₉	C₂×C₄²	1	1	yes	characteristic
115	C₂×C₄×C₇₉	C₂×C₄²	1	1	yes	characteristic
116	C₂×C₄×C₇₉	C₂×C₄²	1	1	yes	characteristic
117	C₂×C₄×C₇₉	C₂²×C₈	1	4	yes	—
118	C₂×C₄×C₇₉	C₂×M₁₆	1	4	yes	—
119	C₂×C₄×C₇₉	#131	1	4	yes	—
120	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
121	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
122	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
123	C₂×Dic₇₉	—	2	2	no	—
124	C₂×Dic₇₉	—	2	2	no	—
125	C₂×Dic₇₉	C₄×C₈	1	4	yes	—
126	C₂×Dic₇₉	C₂×C₄²	1	2	yes	—
127	C₂×Dic₇₉	C₂×C₄²	1	2	yes	—
128	C₂×Dic₇₉	C₂×C₄²	1	2	yes	—
129	C₄×D₇₉	—	2	4	no	—
130	C₄×D₇₉	—	2	4	no	—
131	C₄×D₇₉	—	2	4	no	—
132	C₄×D₇₉	—	2	4	no	—
133	C₄×D₇₉	C₄×C₈	1	8	yes	—
134	C₄×D₇₉	C₂²×C₈	1	8	yes	—
135	C₈×C₇₉	—	2	4	no	—
136	C₈×C₇₉	C₂²×C₈	1	8	yes	complemented
137	C₈×C₇₉	C₂×M₁₆	1	8	yes	complemented
138	C₇₉⋊C₈	—	2	4	no	—
139	C₇₉⋊C₈	—	2	4	no	—
140	C₇₉⋊C₈	C₂²×C₈	1	8	yes	complemented
141	C₂²×C₇₉	C₂×C₄×C₈	1	2	yes	—
142	C₂²×C₇₉	C₄×M₁₆	1	2	yes	—
143	C₂²×C₇₉	#405	1	2	yes	—
144	C₂²×C₇₉	C₂²×C₄²	1	1	yes	characteristic
145	C₂×D₇₉	—	2	2	no	—
146	C₂×D₇₉	—	2	2	no	—
147	C₂×D₇₉	—	2	8	no	—
148	C₂×D₇₉	C₂×C₄×C₈	1	4	yes	—
149	C₄×C₇₉	C₂×C₄×C₈	1	2	yes	—
150	C₄×C₇₉	C₄×M₁₆	1	2	yes	—
151	C₄×C₇₉	#405	1	2	yes	—
152	C₄×C₇₉	C₂³×C₈	1	2	yes	—
153	C₄×C₇₉	C₂²×M₁₆	1	2	yes	—
154	C₄×C₇₉	C₂×#131	1	2	yes	—
155	Dic₇₉	—	2	2	no	—
156	Dic₇₉	—	2	2	no	—
157	Dic₇₉	C₂×C₄×C₈	1	4	yes	—
158	C₂×C₈×M₁₆	—	79	1	no	maximal, Sylow
159	C₂×C₇₉	C₈×M₁₆	1	4	yes	complemented
160	C₂×C₇₉	C₂²×C₄×C₈	1	1	yes	characteristic
161	C₂×C₇₉	C₂×C₄×M₁₆	1	1	yes	characteristic
162	C₂×C₇₉	C₂×#405	1	1	yes	characteristic
163	D₇₉	—	2	4	no	—
164	C₂×#431	—	79	1	no	—
165	C₂×C₄×M₁₆	—	79	1	no	—
166	C₂²×C₄×C₈	—	79	1	no	—
167	C₈×M₁₆	—	79	8	no	—
168	C₂×#322	—	79	1	no	—
169	C₂×#322	—	79	1	no	—
170	C₂×C₈²	—	79	1	no	—
171	C₂×C₈²	D₇₉	1	1	yes	characteristic, complemented
172	C₇₉	C₂×C₈×M₁₆	1	1	yes	characteristic, complemented, Sylow
173	C₂²×M₁₆	—	79	2	no	—
174	C₂³×C₈	—	79	2	no	—
175	C₂²×C₄²	—	79	1	no	—
176	#431	—	79	4	no	—
177	#431	—	79	4	no	—
178	C₂×C₄⋊C₈	—	79	2	no	—
179	C₂×C₂²⋊C₈	—	79	2	no	—
180	C₄×M₁₆	—	79	4	no	—
181	C₄×M₁₆	—	79	4	no	—
182	C₂×#97	—	79	2	no	—
183	C₂×C₄×C₈	—	79	2	no	—
184	C₂×C₄×C₈	—	79	1	no	—
185	C₂×C₄×C₈	—	79	1	no	—
186	C₂×C₄×C₈	—	79	1	no	—
187	C₂×C₄×C₈	—	79	4	no	—
188	C₂×C₄×C₈	—	79	4	no	—
189	C₂×C₄×C₈	C₂×D₇₉	1	1	yes	characteristic
190	C₂×C₄×C₈	C₂×D₇₉	1	1	yes	characteristic
191	C₂×C₄×C₈	C₂×D₇₉	1	1	yes	characteristic
192	#322	—	79	4	no	—
193	#322	—	79	4	no	—
194	C₈²	—	79	4	no	—
195	C₈²	C₂×D₇₉	1	4	yes	complemented
196	C₂³×C₄	—	79	1	no	—
197	C₂³×C₄	—	79	1	no	—
198	C₂³×C₄	—	79	1	no	—
199	C₂×M₁₆	—	79	16	no	—
200	C₂×M₁₆	—	79	8	no	—
201	C₂²×C₈	—	79	2	no	—
202	C₂²×C₈	—	79	2	no	—
203	C₂²×C₈	—	79	2	no	—
204	C₂²×C₈	—	79	8	no	—
205	C₂²×C₈	—	158	8	no	—
206	C₂²×C₈	C₄×D₇₉	1	2	yes	—
207	C₂²×C₈	C₄×D₇₉	1	2	yes	—
208	C₂²×C₈	C₄×D₇₉	1	2	yes	—
209	C₂×C₄²	—	79	1	no	—
210	C₂×C₄²	—	79	1	no	—
211	C₂×C₄²	—	79	1	no	—
212	C₂×C₄²	—	79	2	no	—
213	C₂×C₄²	—	79	2	no	—
214	C₂×C₄²	—	79	2	no	—
215	C₂×C₄²	—	79	2	no	—
216	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
217	C₄⋊C₈	—	79	8	no	—
218	C₂²⋊C₈	—	79	8	no	—
219	#97	—	79	8	no	—
220	C₄×C₈	—	79	8	no	—
221	C₄×C₈	—	79	2	no	—
222	C₄×C₈	—	79	2	no	—
223	C₄×C₈	—	79	2	no	—
224	C₄×C₈	—	79	2	no	—
225	C₄×C₈	—	79	2	no	—
226	C₄×C₈	—	79	2	no	—
227	C₄×C₈	C₄×D₇₉	1	2	yes	—
228	C₄×C₈	C₄×D₇₉	1	2	yes	—
229	C₄×C₈	C₄×D₇₉	1	2	yes	—
230	C₄×C₈	C₂²×D₇₉	1	2	yes	—
231	C₄×C₈	C₂²×D₇₉	1	2	yes	—
232	C₄×C₈	C₂²×D₇₉	1	2	yes	—
233	C₂⁴	—	79	1	no	—
234	C₂²×C₄	—	79	1	no	—
235	C₂²×C₄	—	79	2	no	—
236	C₂²×C₄	—	79	8	no	—
237	C₂²×C₄	—	79	2	no	—
238	C₂²×C₄	—	79	1	no	—
239	C₂²×C₄	—	79	1	no	—
240	C₂²×C₄	—	79	2	no	—
241	C₂²×C₄	—	79	2	no	—
242	C₂²×C₄	—	79	2	no	—
243	C₂²×C₄	—	79	2	no	—
244	C₂²×C₄	—	158	4	no	—
245	C₂²×C₄	—	158	4	no	—
246	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
247	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
248	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
249	M₁₆	—	79	32	no	—
250	C₂×C₈	—	2	4	no	—
251	C₂×C₈	—	79	8	no	—
252	C₂×C₈	—	79	4	no	—
253	C₂×C₈	—	79	4	no	—
254	C₂×C₈	—	79	4	no	—
255	C₂×C₈	—	158	4	no	—
256	C₂×C₈	—	158	4	no	—
257	C₂×C₈	—	158	16	no	—
258	C₂×C₈	C₈×D₇₉	1	8	yes	complemented
259	C₂×C₈	#11929607	1	8	yes	direct product factor
260	C₂×C₈	C₂×C₄×D₇₉	1	4	yes	—
261	C₂×C₈	C₂×C₄×D₇₉	1	4	yes	—
262	C₂×C₈	C₂×C₄×D₇₉	1	4	yes	—
263	C₄²	—	79	2	no	—
264	C₄²	—	79	2	no	—
265	C₄²	—	79	2	no	—
266	C₄²	—	79	2	no	—
267	C₄²	—	79	2	no	—
268	C₄²	—	79	2	no	—
269	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
270	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
271	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
272	C₄²	C₂³×D₇₉	1	1	yes	characteristic
273	C₂³	—	79	2	no	—
274	C₂³	—	79	4	no	—
275	C₂³	—	158	2	no	—
276	C₂³	—	158	2	no	—
277	C₂³	C₄²×D₇₉	1	1	yes	characteristic
278	C₂×C₄	—	79	2	no	—
279	C₂×C₄	—	79	4	no	—
280	C₂×C₄	—	79	8	no	—
281	C₂×C₄	—	79	8	no	—
282	C₂×C₄	—	79	2	no	—
283	C₂×C₄	—	79	2	no	—
284	C₂×C₄	—	158	2	no	—
285	C₂×C₄	—	158	2	no	—
286	C₂×C₄	—	158	4	no	—
287	C₂×C₄	—	158	4	no	—
288	C₂×C₄	—	158	4	no	—
289	C₂×C₄	—	158	4	no	—
290	C₂×C₄	C₄²×D₇₉	1	1	yes	characteristic
291	C₂×C₄	C₄²×D₇₉	1	1	yes	characteristic
292	C₂×C₄	C₄²×D₇₉	1	1	yes	characteristic
293	C₂×C₄	C₂×C₈×D₇₉	1	4	yes	—
294	C₂×C₄	C₂×#11929607	1	4	yes	—
295	C₂×C₄	#14579167	1	4	yes	—
296	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
297	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
298	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
299	C₈	—	2	4	no	—
300	C₈	—	79	8	no	—
301	C₈	—	158	4	no	—
302	C₈	—	158	4	no	—
303	C₈	C₂×C₈×D₇₉	1	8	yes	complemented
304	C₈	C₂×#11929607	1	8	yes	direct product factor
305	C₂²	—	79	4	no	—
306	C₂²	—	158	8	no	—
307	C₂²	—	158	2	no	—
308	C₂²	—	158	2	no	—
309	C₂²	C₄×C₈×D₇₉	1	2	yes	—
310	C₂²	C₄×#11929607	1	2	yes	—
311	C₂²	#19098517	1	2	yes	—
312	C₂²	C₂×C₄²×D₇₉	1	1	yes	characteristic
313	C₄	—	79	4	no	—
314	C₄	—	158	2	no	—
315	C₄	—	158	2	no	—
316	C₄	C₄×C₈×D₇₉	1	2	yes	—
317	C₄	C₄×#11929607	1	2	yes	—
318	C₄	#19098517	1	2	yes	—
319	C₄	C₂²×C₈×D₇₉	1	2	yes	—
320	C₄	C₂²×#11929607	1	2	yes	—
321	C₄	C₂×#14579167	1	2	yes	—
322	C₂	—	158	4	no	—
323	C₂	C₈×#11929607	1	4	yes	direct product factor
324	C₂	C₂×C₄×C₈×D₇₉	1	1	yes	characteristic
325	C₂	C₂×C₄×#11929607	1	1	yes	characteristic
326	C₂	C₂×#19098517	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₈	C₂×D₇₉
commutator	C₂×C₇₉	C₂²×C₄×C₈
Frattini	C₄²	C₂³×D₇₉
Fitting	C₂×C₈²×C₇₉	C₂
socle	C₂³×C₇₉	C₂×C₄²
prime radical	C₂³×D₇₉	C₄²
cosocle	C₄²×C₇₉	C₂⁴
hypercenter	C₂×C₈²	D₇₉
hypocenter	C₇₉	C₂×C₈×M₁₆
LCS	G ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂×C₄×C₈ ◁ C₂×C₈²

Complements

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

N	H ≅ G/N	type
4. C₈×#11929607	C₂	direct (N × H)
5. C₂×#19098285	C₂	semidirect
6. C₂×#19098284	C₂	semidirect
7. C₂×C₈×C₇₉⋊C₈	C₂	semidirect
8. C₂×C₈²×C₇₉	C₂	semidirect
25. #19098285	C₂²	semidirect
26. #19098284	C₂²	semidirect
27. C₈×C₇₉⋊C₈	C₂²	semidirect
31. C₈²×C₇₉	C₂²	semidirect
35. C₂×#11929607	C₈	direct (N × H)
82. #11929607	C₂×C₈	direct (N × H)
85. C₂×C₇₉⋊C₈	C₂×C₈	semidirect
100. C₂×C₈×C₇₉	C₂×C₈	semidirect
101. C₂×C₈×C₇₉	M₁₆	semidirect
136. C₈×C₇₉	C₂²×C₈	semidirect
137. C₈×C₇₉	C₂×M₁₆	semidirect
140. C₇₉⋊C₈	C₂²×C₈	semidirect
159. C₂×C₇₉	C₈×M₁₆	semidirect
171. C₂×C₈²	D₇₉	semidirect
172. C₇₉	C₂×C₈×M₁₆	semidirect
195. C₈²	C₂×D₇₉	semidirect
258. C₂×C₈	C₈×D₇₉	semidirect
259. C₂×C₈	#11929607	direct (N × H)
303. C₈	C₂×C₈×D₇₉	semidirect
304. C₈	C₂×#11929607	direct (N × H)
323. C₂	C₈×#11929607	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#19098614	2
C₂×C₄×#11929607	2
C₂×C₄×C₈×D₇₉	2
C₈×#11929607	2
C₂×#19098285	2
C₂×#19098284	2
C₂×C₈×C₇₉⋊C₈	2
C₂×C₈²×C₇₉	2
C₂×C₈×M₁₆	79

Subgroups — C2×C8×#11929607 #34253840

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₈×#11929607 #34253840