Subgroups — C₂×#19134143 #25079155

Order 11008.

726 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583250	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583180	C₂	1	1	yes	maximal, characteristic
3	C₂×#14583105	C₂	1	1	yes	maximal, characteristic
4	C₂×#14582978	C₂	1	1	yes	maximal, characteristic
5	#19134143	C₂	1	8	yes	maximal, direct product factor
6	C₂×#14582646	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14582644	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄₃×#335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#10621873	—	2	1	no	—
10	C₂²×#10621872	—	2	1	no	—
11	C₂×#13063325	C₂²	1	1	yes	characteristic
12	C₂×#13063325	C₂²	1	1	yes	characteristic
13	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
14	#14583250	—	2	2	no	—
15	#14583250	C₂²	1	4	yes	complemented
16	#14583180	—	2	2	no	—
17	#14583180	C₂²	1	4	yes	—
18	#14583105	—	2	2	no	—
19	#14583105	C₂²	1	4	yes	—
20	#14582978	—	2	2	no	—
21	#14582978	C₂²	1	4	yes	—
22	C₂×#13063259	—	2	1	no	—
23	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
24	C₂×#13063250	—	2	1	no	—
25	C₂×#13063250	—	2	1	no	—
26	C₂×#13063250	—	2	1	no	—
27	C₂×#13063247	—	2	1	no	—
28	C₂×(C₂×D₄₃)⋊C₈	—	2	1	no	—
29	#14582646	C₂²	1	4	yes	complemented
30	#14582644	C₂²	1	4	yes	complemented
31	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
32	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
34	C₄₃×#335	C₂²	1	4	yes	complemented
35	C₂²×Dic₈₆	—	2	1	no	—
36	C₂²×Dic₈₆	—	2	1	no	—
37	C₂²×D₁₇₂	D₄	1	1	yes	characteristic
38	C₂²×C₄×D₄₃	—	2	1	no	—
39	C₂×#10621873	—	2	4	no	—
40	C₂×#10621873	—	4	4	no	—
41	C₂×#10621872	—	2	4	no	—
42	C₂×#10621872	—	4	4	no	—
43	C₂²×C₄₃⋊C₈	—	2	1	no	—
44	#13063325	—	2	1	no	—
45	#13063325	—	2	1	no	—
46	#13063325	—	2	1	no	—
47	#13063325	—	2	1	no	—
48	#13063325	—	2	1	no	—
49	#13063325	—	2	1	no	—
50	#13063325	C₂³	1	2	yes	—
51	#13063325	C₂³	1	2	yes	—
52	C₄×D₁₇₂	—	2	1	no	—
53	C₄×D₁₇₂	—	2	1	no	—
54	C₄×D₁₇₂	D₄	1	2	yes	—
55	C₄×D₁₇₂	C₂³	1	2	yes	—
56	C₂×C₄⋊Dic₄₃	—	2	1	no	—
57	C₂×C₄⋊Dic₄₃	—	2	1	no	—
58	C₂×C₄⋊Dic₄₃	—	2	1	no	—
59	C₂×C₄⋊Dic₄₃	—	2	1	no	—
60	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
61	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
62	#13063259	—	2	4	no	—
63	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
64	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
65	#13063250	—	2	4	no	—
66	#13063250	—	2	4	no	—
67	#13063250	—	2	4	no	—
68	#13063247	—	2	4	no	—
69	(C₂×D₄₃)⋊C₈	—	2	4	no	—
70	C₂²×C₈×C₄₃	—	2	1	no	—
71	C₂²×C₈×C₄₃	—	2	1	no	—
72	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
73	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
74	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
75	C₄⋊C₈×C₄₃	—	2	1	no	—
76	C₄⋊C₈×C₄₃	—	2	1	no	—
77	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
78	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
79	C₄×C₈×C₄₃	D₄	1	2	yes	—
80	C₄×C₈×C₄₃	C₂³	1	2	yes	—
81	C₂³×D₄₃	—	2	1	no	—
82	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
83	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
85	C₂²×Dic₄₃	—	2	1	no	—
86	C₂²×Dic₄₃	—	4	1	no	—
87	C₂²×Dic₄₃	—	4	1	no	—
88	C₂×D₁₇₂	—	2	1	no	—
89	C₂×D₁₇₂	—	2	2	no	—
90	C₂×D₁₇₂	—	2	2	no	—
91	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
92	C₂×C₄×D₄₃	—	2	2	no	—
93	C₂×C₄×D₄₃	—	2	2	no	—
94	C₂×C₄×D₄₃	—	4	2	no	—
95	C₂×C₄×D₄₃	—	4	2	no	—
96	C₂×Dic₈₆	—	2	2	no	—
97	C₂×Dic₈₆	—	2	2	no	—
98	C₂×Dic₈₆	—	4	2	no	—
99	C₂×Dic₈₆	—	4	2	no	—
100	C₂×Dic₈₆	—	4	2	no	—
101	C₂×Dic₈₆	—	4	2	no	—
102	C₂×Dic₈₆	—	4	1	no	—
103	C₂×Dic₈₆	—	4	1	no	—
104	C₂×C₈×C₄₃	—	2	2	no	—
105	C₂×C₈×C₄₃	—	2	2	no	—
106	C₂×C₈×C₄₃	—	2	2	no	—
107	C₂×C₈×C₄₃	—	2	2	no	—
108	C₂×C₈×C₄₃	—	4	2	no	—
109	C₂×C₈×C₄₃	—	4	2	no	—
110	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
111	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
112	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
113	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
114	C₄²×C₄₃	#41	1	1	yes	characteristic
115	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
116	(C₂×D₄₃)⋊C₄	—	2	2	no	—
117	(C₂×D₄₃)⋊C₄	—	2	2	no	—
118	C₄⋊Dic₄₃	—	2	1	no	—
119	C₄⋊Dic₄₃	—	2	2	no	—
120	C₄⋊Dic₄₃	—	2	2	no	—
121	C₄⋊Dic₄₃	—	2	2	no	—
122	C₄⋊Dic₄₃	—	2	2	no	—
123	C₄⋊Dic₄₃	—	4	1	no	—
124	C₄⋊Dic₄₃	—	4	1	no	—
125	C₄⋊Dic₄₃	—	4	1	no	—
126	C₄⋊Dic₄₃	—	4	1	no	—
127	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
128	C₂×C₄₃⋊C₈	—	2	2	no	—
129	C₂×C₄₃⋊C₈	—	4	2	no	—
130	#10621873	—	4	8	no	—
131	#10621872	—	4	8	no	—
132	C₂³×C₄₃	#121	1	1	yes	characteristic
133	C₂²×D₄₃	—	2	2	no	—
134	C₂²×D₄₃	—	4	2	no	—
135	C₂²×D₄₃	—	4	2	no	—
136	C₂²×D₄₃	—	4	2	no	—
137	C₂×C₄×C₄₃	—	2	2	no	—
138	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
139	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
140	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
141	C₂×C₄×C₄₃	#135	1	2	yes	—
142	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
143	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
144	C₂×C₄×C₄₃	#137	1	2	yes	—
145	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
146	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
147	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
148	C₂×Dic₄₃	—	2	2	no	—
149	C₂×Dic₄₃	—	4	2	no	—
150	C₂×Dic₄₃	—	4	2	no	—
151	C₂×Dic₄₃	—	4	2	no	—
152	C₂×Dic₄₃	—	8	2	no	—
153	C₂×Dic₄₃	—	8	2	no	—
154	D₁₇₂	—	2	2	no	—
155	D₁₇₂	—	2	2	no	—
156	D₁₇₂	—	4	2	no	—
157	C₄×D₄₃	—	4	2	no	—
158	C₄×D₄₃	—	4	2	no	—
159	C₄×D₄₃	—	4	4	no	—
160	Dic₈₆	—	4	2	no	—
161	Dic₈₆	—	4	2	no	—
162	Dic₈₆	—	4	2	no	—
163	Dic₈₆	—	4	2	no	—
164	Dic₈₆	—	8	2	no	—
165	Dic₈₆	—	8	2	no	—
166	C₈×C₄₃	—	2	2	no	—
167	C₈×C₄₃	—	2	2	no	—
168	C₈×C₄₃	—	4	2	no	—
169	C₈×C₄₃	—	4	2	no	—
170	C₄₃⋊C₈	—	4	2	no	—
171	C₂×#1699	—	43	1	no	maximal, Sylow
172	C₂²×C₄₃	#463	1	2	yes	—
173	C₂²×C₄₃	#468	1	2	yes	—
174	C₂²×C₄₃	#473	1	2	yes	—
175	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
176	C₂×D₄₃	—	4	2	no	—
177	C₂×D₄₃	—	4	2	no	—
178	C₂×D₄₃	—	4	2	no	—
179	C₂×D₄₃	—	8	4	no	—
180	C₄×C₄₃	—	2	1	no	—
181	C₄×C₄₃	—	2	1	no	—
182	C₄×C₄₃	#463	1	2	yes	—
183	C₄×C₄₃	#468	1	2	yes	—
184	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
185	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
186	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
187	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
188	Dic₄₃	—	4	2	no	—
189	Dic₄₃	—	8	2	no	—
190	Dic₄₃	—	8	2	no	—
191	C₂×#487	—	43	1	no	—
192	C₂×#474	—	43	1	no	—
193	C₂×#461	—	43	1	no	—
194	C₂×#436	—	43	1	no	—
195	#1699	—	43	8	no	—
196	C₂×#335	D₄₃	1	1	yes	characteristic, complemented
197	C₂×#332	—	43	1	no	—
198	C₂×#332	—	43	1	no	—
199	C₂×C₄₃	#1699	1	4	yes	complemented
200	C₂×C₄₃	C₂×#463	1	1	yes	characteristic
201	C₂×C₄₃	C₂×#468	1	1	yes	characteristic
202	C₂×C₄₃	C₂×#473	1	1	yes	characteristic
203	D₄₃	—	8	2	no	—
204	C₂²×SD₁₆	—	86	1	no	—
205	C₂²×M₁₆	—	86	1	no	—
206	C₂×C₄⋊Q₈	—	43	1	no	—
207	C₂×C₄⋊Q₈	—	43	1	no	—
208	C₂×C₄×D₄	—	43	1	no	—
209	#487	—	43	4	no	—
210	#487	—	86	2	no	—
211	#474	—	43	4	no	—
212	#474	—	86	2	no	—
213	#461	—	43	4	no	—
214	#461	—	86	2	no	—
215	#436	—	43	4	no	—
216	#436	—	86	2	no	—
217	C₂×#107	—	86	1	no	—
218	C₂×C₄⋊C₈	—	43	1	no	—
219	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
220	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
221	C₂×#103	—	86	1	no	—
222	C₂×#103	—	86	1	no	—
223	C₂×#103	—	86	1	no	—
224	C₂×#102	—	86	1	no	—
225	C₂×C₂²⋊C₈	—	86	1	no	—
226	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
227	#335	C₂×D₄₃	1	4	yes	complemented
228	#332	—	43	4	no	—
229	#332	—	43	4	no	—
230	C₄₃	C₂×#1699	1	1	yes	characteristic, complemented, Sylow
231	C₂²×Q₈	—	86	1	no	—
232	C₂²×Q₈	—	86	1	no	—
233	C₂²×D₄	—	43	1	no	—
234	C₂³×C₄	—	86	1	no	—
235	C₂×SD₁₆	—	86	4	no	—
236	C₂×SD₁₆	—	172	4	no	—
237	C₂×M₁₆	—	86	4	no	—
238	C₂×M₁₆	—	172	4	no	—
239	C₂²×C₈	—	2	1	no	—
240	C₂²×C₈	—	2	1	no	—
241	C₂²×C₈	—	86	1	no	—
242	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
243	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
244	C₄⋊Q₈	—	43	2	no	—
245	C₄⋊Q₈	—	43	2	no	—
246	C₄⋊Q₈	—	86	1	no	—
247	C₄⋊Q₈	—	86	1	no	—
248	C₄⋊Q₈	—	86	1	no	—
249	C₄⋊Q₈	—	86	1	no	—
250	C₄⋊Q₈	—	86	1	no	—
251	C₄⋊Q₈	—	86	1	no	—
252	C₄×D₄	—	43	2	no	—
253	C₄×D₄	—	43	2	no	—
254	C₄×D₄	—	86	1	no	—
255	C₄×D₄	—	86	1	no	—
256	C₂×C₄⋊C₄	—	43	1	no	—
257	C₂×C₄⋊C₄	—	86	1	no	—
258	C₂×C₄⋊C₄	—	86	1	no	—
259	C₂×C₄⋊C₄	—	86	1	no	—
260	C₂×C₄⋊C₄	—	86	1	no	—
261	C₂×C₂²⋊C₄	—	86	1	no	—
262	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
263	#107	—	86	4	no	—
264	C₄⋊C₈	—	2	1	no	—
265	C₄⋊C₈	—	2	1	no	—
266	C₄⋊C₈	—	43	2	no	—
267	C₄⋊C₈	—	86	1	no	—
268	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
269	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
270	#103	—	86	4	no	—
271	#103	—	86	4	no	—
272	#103	—	86	4	no	—
273	#102	—	86	4	no	—
274	C₂²⋊C₈	—	86	4	no	—
275	C₄×C₈	D₁₇₂	1	2	yes	—
276	C₄×C₈	C₂²×D₄₃	1	2	yes	—
277	C₂⁴	—	86	1	no	—
278	C₂×Q₈	—	86	2	no	—
279	C₂×Q₈	—	86	2	no	—
280	C₂×Q₈	—	172	2	no	—
281	C₂×Q₈	—	172	2	no	—
282	C₂×Q₈	—	172	2	no	—
283	C₂×Q₈	—	172	2	no	—
284	C₂×Q₈	—	172	1	no	—
285	C₂×Q₈	—	172	1	no	—
286	C₂×D₄	—	43	2	no	—
287	C₂×D₄	—	86	1	no	—
288	C₂×D₄	—	86	2	no	—
289	C₂×D₄	—	86	2	no	—
290	C₂²×C₄	—	86	1	no	—
291	C₂²×C₄	—	86	2	no	—
292	C₂²×C₄	—	86	2	no	—
293	C₂²×C₄	—	172	1	no	—
294	C₂²×C₄	—	172	1	no	—
295	C₂²×C₄	—	172	2	no	—
296	C₂²×C₄	—	172	2	no	—
297	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
298	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
299	C₂²×C₄	#10621902	1	1	yes	characteristic
300	SD₁₆	—	172	8	no	—
301	M₁₆	—	172	8	no	—
302	C₂×C₈	—	2	2	no	—
303	C₂×C₈	—	2	2	no	—
304	C₂×C₈	—	2	2	no	—
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	—	4	2	no	—
307	C₂×C₈	—	4	2	no	—
308	C₂×C₈	—	86	2	no	—
309	C₂×C₈	—	172	2	no	—
310	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
311	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
312	C₄⋊C₄	—	43	2	no	—
313	C₄⋊C₄	—	86	1	no	—
314	C₄⋊C₄	—	86	2	no	—
315	C₄⋊C₄	—	86	2	no	—
316	C₄⋊C₄	—	86	2	no	—
317	C₄⋊C₄	—	86	2	no	—
318	C₄⋊C₄	—	172	1	no	—
319	C₄⋊C₄	—	172	1	no	—
320	C₄⋊C₄	—	172	1	no	—
321	C₄⋊C₄	—	172	1	no	—
322	C₂²⋊C₄	—	86	2	no	—
323	C₂²⋊C₄	—	86	2	no	—
324	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
325	C₄²	D₄×D₄₃	1	1	yes	characteristic
326	C₄²	#10621902	1	1	yes	characteristic
327	C₄²	C₂³×D₄₃	1	1	yes	characteristic
328	C₂³	—	86	2	no	—
329	C₂³	—	172	2	no	—
330	C₂³	—	172	2	no	—
331	C₂³	—	172	2	no	—
332	C₂³	#13063300	1	1	yes	characteristic
333	Q₈	—	344	2	no	—
334	Q₈	—	344	2	no	—
335	Q₈	—	172	2	no	—
336	Q₈	—	172	2	no	—
337	Q₈	—	172	2	no	—
338	Q₈	—	172	2	no	—
339	D₄	—	86	2	no	—
340	D₄	—	86	2	no	—
341	D₄	—	172	2	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	86	2	no	—
344	C₂×C₄	—	344	2	no	—
345	C₂×C₄	—	344	2	no	—
346	C₂×C₄	—	172	2	no	—
347	C₂×C₄	—	172	2	no	—
348	C₂×C₄	—	172	2	no	—
349	C₂×C₄	—	172	4	no	—
350	C₂×C₄	—	172	2	no	—
351	C₂×C₄	—	172	2	no	—
352	C₂×C₄	#13063300	1	1	yes	characteristic
353	C₂×C₄	#13063300	1	1	yes	characteristic
354	C₂×C₄	#13063300	1	1	yes	characteristic
355	C₂×C₄	#13063347	1	2	yes	—
356	C₂×C₄	#13063349	1	2	yes	—
357	C₂×C₄	#13063353	1	2	yes	—
358	C₂×C₄	#13063357	1	2	yes	—
359	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
360	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
361	C₂×C₄	C₂×#10621902	1	1	yes	characteristic
362	C₈	—	2	2	no	—
363	C₈	—	2	2	no	—
364	C₈	—	4	2	no	—
365	C₈	—	4	2	no	—
366	C₈	—	172	2	no	—
367	C₂²	—	344	4	no	—
368	C₂²	—	172	2	no	—
369	C₂²	—	172	2	no	—
370	C₂²	—	172	2	no	—
371	C₂²	#14583115	1	2	yes	—
372	C₂²	#14583146	1	2	yes	—
373	C₂²	#14583175	1	2	yes	—
374	C₂²	C₂×#13063300	1	1	yes	characteristic
375	C₄	—	2	1	no	—
376	C₄	—	2	1	no	—
377	C₄	—	344	2	no	—
378	C₄	—	344	2	no	—
379	C₄	—	172	2	no	—
380	C₄	#14583115	1	2	yes	—
381	C₄	#14583146	1	2	yes	—
382	C₄	C₂×#13063347	1	1	yes	characteristic
383	C₄	C₂×#13063349	1	1	yes	characteristic
384	C₄	C₂×#13063353	1	1	yes	characteristic
385	C₄	C₂×#13063357	1	1	yes	characteristic
386	C₂	—	344	2	no	—
387	C₂	#19134143	1	4	yes	direct product factor
388	C₂	C₂×#14583115	1	1	yes	characteristic
389	C₂	C₂×#14583146	1	1	yes	characteristic
390	C₂	C₂×#14583175	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#13063300
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₂×C₄₃×#335	C₂
socle	C₂³×C₄₃	#121
prime radical	C₂²×D₁₇₂	D₄
hypercenter	C₂×#335	D₄₃
hypocenter	C₄₃	C₂×#1699
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#335

Complements

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

N	H ≅ G/N	type
1. C₂×#14583250	C₂	semidirect
5. #19134143	C₂	direct (N × H)
6. C₂×#14582646	C₂	semidirect
7. C₂×#14582644	C₂	semidirect
8. C₂×C₄₃×#335	C₂	semidirect
15. #14583250	C₂²	semidirect
29. #14582646	C₂²	semidirect
30. #14582644	C₂²	semidirect
34. C₄₃×#335	C₂²	semidirect
196. C₂×#335	D₄₃	semidirect
199. C₂×C₄₃	#1699	semidirect
227. #335	C₂×D₄₃	semidirect
230. C₄₃	C₂×#1699	semidirect
387. C₂	#19134143	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×#14583250	2
C₂×#14583180	2
C₂×#14583105	2
C₂×#14582978	2
#19134143	2
C₂×#14582646	2
C₂×#14582644	2
C₂×C₄₃×#335	2
C₂×#1699	43

Subgroups — C2×#19134143 #25079155

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19134143 #25079155