Subgroups — C₂×#20256256 #27096709

Order 12032.

1918 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689833	C₂	1	2	yes	maximal, complemented
2	#20256256	C₂	1	16	yes	maximal, direct product factor
3	C₂×#15689528	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#15689525	C₂	1	2	yes	maximal, complemented
5	C₂×#15689424	C₂	1	4	yes	maximal, complemented
6	C₂×#15689414	C₂	1	2	yes	maximal, complemented
7	C₂×C₄×D₃₇₆	C₂	1	1	yes	maximal, characteristic
8	C₂×C₄×D₃₇₆	C₂	1	2	yes	maximal
9	C₂×C₈×Q₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×D₃₇₆	C₂²	1	1	yes	characteristic
11	#15689833	—	2	8	no	—
12	#15689833	C₂²	1	16	yes	complemented
13	C₂×#13094024	C₂²	1	2	yes	—
14	C₂×#13094016	C₂²	1	4	yes	—
15	C₂×#13094002	—	2	4	no	—
16	C₂×#13094000	—	2	2	no	—
17	C₂×C₄×D₁₈₈	C₂²	1	2	yes	—
18	C₂×C₄×D₁₈₈	C₂²	1	4	yes	—
19	C₂×C₄⋊C₄×D₄₇	—	2	2	no	—
20	#15689528	C₂²	1	8	yes	complemented
21	#15689525	C₂²	1	16	yes	complemented
22	#15689424	C₂²	1	32	yes	complemented
23	#15689414	C₂²	1	16	yes	complemented
24	C₄×D₃₇₆	C₂²	1	16	yes	—
25	C₄×D₃₇₆	C₂²	1	8	yes	—
26	C₂×#13093958	C₂²	1	1	yes	characteristic
27	C₂×#13093958	C₂²	1	2	yes	—
28	C₂×#13093958	C₂²	1	2	yes	—
29	C₂×#13093956	C₂²	1	4	yes	—
30	C₂×#13093946	C₂²	1	4	yes	—
31	C₂×#13093946	C₂²	1	2	yes	—
32	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
33	C₈×Q₈×C₄₇	C₂²	1	8	yes	complemented
34	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊C₈×C₄₇	C₂²	1	2	yes	—
36	C₂×C₄×C₈×C₄₇	C₂²	1	2	yes	—
37	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
38	C₂²×Dic₉₄	—	2	2	no	—
39	C₂²×D₁₈₈	C₂³	1	2	yes	—
40	C₂²×C₄×D₄₇	—	2	2	no	—
41	C₂²×C₄×D₄₇	—	2	4	no	—
42	C₂×D₃₇₆	Q₈	1	8	yes	complemented
43	C₂×D₃₇₆	C₂³	1	4	yes	—
44	#13094024	—	2	4	no	—
45	#13094024	C₂³	1	8	yes	—
46	#13094016	—	2	8	no	—
47	#13094016	C₂³	1	16	yes	—
48	#13094002	—	2	32	no	—
49	#13094000	—	2	16	no	—
50	C₄×D₁₈₈	—	2	4	no	—
51	C₄×D₁₈₈	—	2	8	no	—
52	C₄×D₁₈₈	C₂³	1	8	yes	—
53	C₄×D₁₈₈	C₂³	1	16	yes	—
54	C₂×C₄⋊Dic₄₇	—	2	2	no	—
55	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
56	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
57	C₂×Dic₄₇⋊C₄	—	2	4	no	—
58	C₂×Dic₄₇⋊C₄	—	2	4	no	—
59	C₄⋊C₄×D₄₇	—	2	16	no	—
60	C₂×(C₂×D₄₇)⋊C₄	—	2	4	no	—
61	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
62	#13093958	C₂³	1	4	yes	—
63	#13093958	C₂³	1	8	yes	—
64	#13093958	C₂³	1	8	yes	—
65	#13093956	C₂³	1	16	yes	—
66	#13093946	C₂³	1	16	yes	—
67	#13093946	C₂³	1	8	yes	—
68	C₂²×Q₈×C₄₇	D₄	1	1	yes	characteristic
69	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
70	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
71	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
72	C₄×Q₈×C₄₇	D₄	1	4	yes	—
73	C₄×Q₈×C₄₇	C₂³	1	4	yes	—
74	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
75	C₂×C₄⋊C₄×C₄₇	D₄	1	2	yes	—
76	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
77	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
78	C₄⋊C₈×C₄₇	C₂³	1	4	yes	—
79	C₄⋊C₈×C₄₇	C₂³	1	8	yes	—
80	C₄×C₈×C₄₇	C₂³	1	8	yes	—
81	C₄×C₈×C₄₇	C₂³	1	4	yes	—
82	C₂³×D₄₇	—	2	2	no	—
83	C₂×Q₈×C₄₇	—	2	4	no	—
84	C₂×Q₈×C₄₇	C₂×D₄	1	4	yes	—
85	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
90	C₂²×Dic₄₇	—	2	2	no	—
91	C₂²×Dic₄₇	—	2	4	no	—
92	C₂×D₁₈₈	—	2	2	no	—
93	C₂×D₁₈₈	—	2	4	no	—
94	C₂×D₁₈₈	C₂×Q₈	1	8	yes	—
95	C₂×D₁₈₈	C₂⁴	1	4	yes	—
96	C₂×C₄×D₄₇	—	2	8	no	—
97	C₂×C₄×D₄₇	—	2	16	no	—
98	C₂×C₄×D₄₇	—	4	8	no	—
99	C₂×C₄×D₄₇	—	8	8	no	—
100	C₂×Dic₉₄	—	2	8	no	—
101	C₂×Dic₉₄	—	8	4	no	—
102	C₂×C₈×C₄₇	—	2	4	no	—
103	C₂×C₈×C₄₇	—	2	2	no	—
104	C₂×C₈×C₄₇	C₂×Q₈	1	4	yes	—
105	C₂×C₈×C₄₇	C₂⁴	1	4	yes	—
106	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
107	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
108	C₄⋊C₄×C₄₇	C₂×D₄	1	4	yes	—
109	C₄⋊C₄×C₄₇	C₂×D₄	1	8	yes	—
110	C₄²×C₄₇	C₂×D₄	1	4	yes	—
111	C₄²×C₄₇	C₂×D₄	1	2	yes	—
112	C₄²×C₄₇	C₂⁴	1	4	yes	—
113	C₄²×C₄₇	C₂⁴	1	2	yes	—
114	(C₂×D₄₇)⋊C₄	—	2	16	no	—
115	(C₂×D₄₇)⋊C₄	—	2	8	no	—
116	C₄⋊Dic₄₇	—	2	8	no	—
117	C₄⋊Dic₄₇	—	2	2	no	—
118	C₄⋊Dic₄₇	—	2	4	no	—
119	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
120	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
121	Dic₄₇⋊C₄	—	2	16	no	—
122	Dic₄₇⋊C₄	—	2	16	no	—
123	D₃₇₆	C₂×Q₈	1	16	yes	complemented
124	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
125	C₂²×D₄₇	—	2	8	no	—
126	C₂²×D₄₇	—	2	4	no	—
127	C₂²×D₄₇	—	4	4	no	—
128	C₂²×D₄₇	—	4	4	no	—
129	Q₈×C₄₇	—	2	8	no	—
130	C₂×C₄×C₄₇	—	2	4	no	—
131	C₂×C₄×C₄₇	—	2	2	no	—
132	C₂×C₄×C₄₇	—	2	4	no	—
133	C₂×C₄×C₄₇	#135	1	4	yes	—
134	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
135	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
136	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
137	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
138	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
139	C₂×C₄×C₄₇	C₂²×Q₈	1	2	yes	—
140	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
141	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
142	C₂×Dic₄₇	—	2	4	no	—
143	C₂×Dic₄₇	—	2	8	no	—
144	C₂×Dic₄₇	—	4	4	no	—
145	C₂×Dic₄₇	—	4	8	no	—
146	D₁₈₈	—	2	8	no	—
147	D₁₈₈	—	2	4	no	—
148	D₁₈₈	C₂²×Q₈	1	8	yes	—
149	C₄×D₄₇	—	4	16	no	—
150	C₄×D₄₇	—	8	16	no	—
151	Dic₉₄	—	8	8	no	—
152	C₈×C₄₇	—	2	4	no	—
153	C₈×C₄₇	—	2	2	no	—
154	C₈×C₄₇	C₂²×Q₈	1	4	yes	—
155	C₂×#3380	—	47	1	no	maximal, Sylow
156	C₂²×C₄₇	D₄×Q₈	1	2	yes	—
157	C₂²×C₄₇	C₂×#135	1	2	yes	—
158	C₂²×C₄₇	#576	1	2	yes	—
159	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
160	C₂×D₄₇	—	2	8	no	—
161	C₂×D₄₇	—	4	16	no	—
162	C₂×D₄₇	—	4	4	no	—
163	C₂×D₄₇	—	4	4	no	—
164	C₄×C₄₇	—	2	4	no	—
165	C₄×C₄₇	—	2	2	no	—
166	C₄×C₄₇	—	2	4	no	—
167	C₄×C₄₇	D₄×Q₈	1	2	yes	—
168	C₄×C₄₇	C₂×#135	1	4	yes	—
169	C₄×C₄₇	C₂³×Q₈	1	1	yes	characteristic
170	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
171	Dic₄₇	—	4	4	no	—
172	Dic₄₇	—	4	8	no	—
173	C₂×#554	—	47	2	no	—
174	#3380	—	47	16	no	—
175	C₂×#500	—	47	1	no	—
176	C₂×#499	—	47	2	no	—
177	C₂×#478	—	47	4	no	—
178	C₂×#476	—	47	2	no	—
179	C₂×C₈×Q₈	D₄₇	1	1	yes	characteristic, complemented
180	C₂×C₄×D₈	—	47	2	no	—
181	C₂×C₄×D₈	—	47	1	no	—
182	C₂×C₄₇	#3380	1	4	yes	complemented
183	C₂×C₄₇	C₂×D₄×Q₈	1	1	yes	characteristic
184	C₂×C₄₇	C₂²×#135	1	1	yes	characteristic
185	C₂×C₄₇	C₂×#576	1	1	yes	characteristic
186	D₄₇	—	4	8	no	—
187	C₂²×D₈	—	47	1	no	—
188	#554	—	47	16	no	—
189	#554	—	94	8	no	—
190	C₂×C₄⋊Q₈	—	47	2	no	—
191	C₂×#125	—	47	4	no	—
192	C₂×C₂²⋊Q₈	—	94	2	no	—
193	C₂×C₂²⋊Q₈	—	94	4	no	—
194	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
195	C₂×C₄×D₄	—	47	4	no	—
196	C₂×C₄×D₄	—	47	2	no	—
197	C₂²×C₄⋊C₄	—	94	2	no	—
198	#500	—	47	8	no	—
199	#499	—	47	16	no	—
200	#478	—	47	32	no	—
201	#476	—	47	16	no	—
202	C₈×Q₈	C₂×D₄₇	1	8	yes	complemented
203	C₄×D₈	—	47	16	no	—
204	C₄×D₈	—	47	8	no	—
205	C₂×#107	—	47	2	no	—
206	C₂×#107	—	47	1	no	—
207	C₂×#107	—	47	2	no	—
208	C₂×#106	—	47	4	no	—
209	C₂×C₄⋊C₈	C₂×D₄₇	1	2	yes	—
210	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
211	C₂×#102	—	47	2	no	—
212	C₂×#102	—	47	4	no	—
213	C₂×C₄×C₈	C₂×D₄₇	1	2	yes	—
214	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
215	C₄₇	C₂×#3380	1	1	yes	characteristic, complemented, Sylow
216	C₂²×Q₈	—	94	2	no	—
217	C₂²×Q₈	D₁₈₈	1	1	yes	characteristic
218	C₂²×D₄	—	47	2	no	—
219	C₂³×C₄	—	94	4	no	—
220	C₂³×C₄	—	94	2	no	—
221	C₂×D₈	—	47	8	no	—
222	C₂×D₈	—	47	4	no	—
223	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
224	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
225	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
226	C₄⋊Q₈	—	47	8	no	—
227	C₄⋊Q₈	—	94	4	no	—
228	#125	—	47	16	no	—
229	#125	—	94	8	no	—
230	C₂²⋊Q₈	—	94	16	no	—
231	C₂²⋊Q₈	—	94	32	no	—
232	C₄×Q₈	D₁₈₈	1	4	yes	—
233	C₄×Q₈	C₂²×D₄₇	1	4	yes	—
234	C₄×D₄	—	47	8	no	—
235	C₄×D₄	—	47	16	no	—
236	C₄×D₄	—	94	8	no	—
237	C₄×D₄	—	94	4	no	—
238	C₂×C₄⋊C₄	—	47	2	no	—
239	C₂×C₄⋊C₄	—	47	4	no	—
240	C₂×C₄⋊C₄	—	94	4	no	—
241	C₂×C₄⋊C₄	—	94	2	no	—
242	C₂×C₄⋊C₄	—	94	4	no	—
243	C₂×C₄⋊C₄	—	94	16	no	—
244	C₂×C₄⋊C₄	D₁₈₈	1	1	yes	characteristic
245	C₂×C₄⋊C₄	D₁₈₈	1	2	yes	—
246	C₂×C₂²⋊C₄	—	94	2	no	—
247	C₂×C₂²⋊C₄	—	94	4	no	—
248	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
249	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
250	#107	—	47	4	no	—
251	#107	—	47	8	no	—
252	#107	—	47	8	no	—
253	#106	—	47	16	no	—
254	C₄⋊C₈	C₂²×D₄₇	1	4	yes	—
255	C₄⋊C₈	C₂²×D₄₇	1	8	yes	—
256	#102	—	47	16	no	—
257	#102	—	47	8	no	—
258	C₄×C₈	C₂²×D₄₇	1	8	yes	—
259	C₄×C₈	C₂²×D₄₇	1	4	yes	—
260	C₂⁴	—	94	2	no	—
261	C₂×Q₈	—	2	4	no	—
262	C₂×Q₈	—	94	8	no	—
263	C₂×Q₈	—	376	4	no	—
264	C₂×Q₈	C₂×D₁₈₈	1	4	yes	—
265	C₂×D₄	—	47	8	no	—
266	C₂×D₄	—	47	4	no	—
267	C₂×D₄	—	94	2	no	—
268	C₂×D₄	—	94	4	no	—
269	C₂²×C₄	—	94	2	no	—
270	C₂²×C₄	—	94	4	no	—
271	C₂²×C₄	—	94	16	no	—
272	C₂²×C₄	—	94	8	no	—
273	C₂²×C₄	—	376	8	no	—
274	C₂²×C₄	—	188	8	no	—
275	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
276	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
277	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
278	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
279	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
280	D₈	—	47	16	no	—
281	C₂×C₈	—	2	4	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	Q₈×D₄₇	1	4	yes	—
284	C₂×C₈	C₂³×D₄₇	1	4	yes	—
285	C₂×C₈	C₂³×D₄₇	1	2	yes	—
286	C₂×C₈	C₂³×D₄₇	1	2	yes	—
287	C₄⋊C₄	—	47	4	no	—
288	C₄⋊C₄	—	47	8	no	—
289	C₄⋊C₄	—	94	16	no	—
290	C₄⋊C₄	—	94	16	no	—
291	C₄⋊C₄	—	94	2	no	—
292	C₄⋊C₄	—	94	4	no	—
293	C₄⋊C₄	—	94	8	no	—
294	C₄⋊C₄	C₂×D₁₈₈	1	4	yes	—
295	C₄⋊C₄	C₂×D₁₈₈	1	8	yes	—
296	C₂²⋊C₄	—	94	8	no	—
297	C₂²⋊C₄	—	94	16	no	—
298	C₄²	C₂×D₁₈₈	1	4	yes	—
299	C₄²	C₂×D₁₈₈	1	2	yes	—
300	C₄²	C₂³×D₄₇	1	4	yes	—
301	C₄²	C₂³×D₄₇	1	2	yes	—
302	C₂³	—	94	8	no	—
303	C₂³	—	94	4	no	—
304	C₂³	—	188	4	no	—
305	C₂³	—	188	4	no	—
306	C₂³	C₂²×D₁₈₈	1	1	yes	characteristic
307	Q₈	—	2	8	no	—
308	Q₈	—	376	8	no	—
309	D₄	—	47	8	no	—
310	D₄	—	94	8	no	—
311	D₄	—	94	4	no	—
312	C₂×C₄	—	2	4	no	—
313	C₂×C₄	—	2	4	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	94	4	no	—
316	C₂×C₄	—	94	8	no	—
317	C₂×C₄	—	376	16	no	—
318	C₂×C₄	—	188	4	no	—
319	C₂×C₄	—	188	8	no	—
320	C₂×C₄	—	188	16	no	—
321	C₂×C₄	#13094046	1	4	yes	—
322	C₂×C₄	C₂²×D₁₈₈	1	4	yes	—
323	C₂×C₄	C₂²×D₁₈₈	1	2	yes	—
324	C₂×C₄	C₂²×D₁₈₈	1	4	yes	—
325	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
326	C₂×C₄	C₂²×D₁₈₈	1	2	yes	—
327	C₂×C₄	C₂×Q₈×D₄₇	1	2	yes	—
328	C₂×C₄	#13094071	1	2	yes	—
329	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
330	C₈	—	2	4	no	—
331	C₈	—	2	2	no	—
332	C₈	C₂×Q₈×D₄₇	1	4	yes	—
333	C₂²	—	94	8	no	—
334	C₂²	—	188	16	no	—
335	C₂²	—	188	4	no	—
336	C₂²	—	188	4	no	—
337	C₂²	Q₈×D₁₈₈	1	2	yes	—
338	C₂²	C₂×#13094046	1	2	yes	—
339	C₂²	#15689928	1	2	yes	—
340	C₂²	C₂³×D₁₈₈	1	1	yes	characteristic
341	C₄	—	2	4	no	—
342	C₄	—	2	4	no	—
343	C₄	—	2	2	no	—
344	C₄	—	188	4	no	—
345	C₄	—	188	8	no	—
346	C₄	Q₈×D₁₈₈	1	2	yes	—
347	C₄	C₂×#13094046	1	4	yes	—
348	C₄	C₂²×Q₈×D₄₇	1	1	yes	characteristic
349	C₄	C₂×#13094071	1	1	yes	characteristic
350	C₂	—	188	8	no	—
351	C₂	#20256256	1	4	yes	direct product factor
352	C₂	C₂×Q₈×D₁₈₈	1	1	yes	characteristic
353	C₂	C₂²×#13094046	1	1	yes	characteristic
354	C₂	C₂×#15689928	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂²×D₁₈₈
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₂×C₈×Q₈×C₄₇	C₂
socle	C₂³×C₄₇	C₂²×D₄
prime radical	C₂²×D₃₇₆	C₂²
hypercenter	C₂×C₈×Q₈	D₄₇
hypocenter	C₄₇	C₂×#3380
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×C₄×Q₈ ◁ C₂×C₈×Q₈

Complements

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

N	H ≅ G/N	type
1. C₂×#15689833	C₂	semidirect
2. #20256256	C₂	direct (N × H)
3. C₂×#15689528	C₂	semidirect
4. C₂×#15689525	C₂	semidirect
5. C₂×#15689424	C₂	semidirect
6. C₂×#15689414	C₂	semidirect
9. C₂×C₈×Q₈×C₄₇	C₂	semidirect
12. #15689833	C₂²	semidirect
20. #15689528	C₂²	semidirect
21. #15689525	C₂²	semidirect
22. #15689424	C₂²	semidirect
23. #15689414	C₂²	semidirect
33. C₈×Q₈×C₄₇	C₂²	semidirect
42. C₂×D₃₇₆	Q₈	semidirect
123. D₃₇₆	C₂×Q₈	semidirect
179. C₂×C₈×Q₈	D₄₇	semidirect
182. C₂×C₄₇	#3380	semidirect
202. C₈×Q₈	C₂×D₄₇	semidirect
215. C₄₇	C₂×#3380	semidirect
351. C₂	#20256256	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×#15689833	2
#20256256	2
C₂×#15689528	2
C₂×#15689525	2
C₂×#15689424	2
C₂×#15689414	2
C₂×C₄×D₃₇₆	2
C₂×C₈×Q₈×C₄₇	2
C₂×#3380	47

Subgroups — C2×#20256256 #27096709

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20256256 #27096709