Subgroups — C₄₃×#28387 #24948404

Order 11008.

1042 conjugacy classes of subgroups.

The subgroup lattice has 374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#478	C₂	1	2	yes	maximal, complemented
2	C₂×C₄₃×#459	C₂	1	2	yes	maximal, complemented
3	C₄₃×#2641	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₃×#2328	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₃×#2092	C₂	1	2	yes	maximal, complemented
6	C₄₃×#2011	C₂	1	2	yes	maximal, complemented
7	C₄₃×#1972	C₂	1	2	yes	maximal, complemented
8	C₄₃×#1970	C₂	1	2	yes	maximal, complemented
9	C₄₃×#1768	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×D₈×C₄₃	C₂²	1	2	yes	—
11	C₂²×D₈×C₄₃	C₂²	1	2	yes	—
12	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
13	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
14	C₂×#125×C₄₃	C₂²	1	1	yes	characteristic
15	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	—
16	C₄₃×#478	—	2	8	no	—
17	C₄₃×#459	—	2	8	no	—
18	C₂×#107×C₄₃	C₂²	1	2	yes	—
19	C₂×#106×C₄₃	C₂²	1	2	yes	—
20	C₂×C₄⋊C₈×C₄₃	C₂²	1	2	yes	—
21	C₂×#102×C₄₃	C₂²	1	2	yes	—
22	C₂×#102×C₄₃	C₂²	1	2	yes	—
23	C₂×#102×C₄₃	C₂²	1	2	yes	—
24	C₂×#102×C₄₃	C₂²	1	2	yes	—
25	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
26	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
27	C₄₃×#394	—	2	4	no	—
28	C₄₃×#390	C₂²	1	2	yes	—
29	C₄₃×#390	C₂²	1	2	yes	—
30	C₄₃×#390	C₂²	1	2	yes	—
31	C₄₃×#386	—	2	4	no	—
32	C₄₃×#382	C₂²	1	1	yes	characteristic
33	C₄₃×#376	C₂²	1	1	yes	characteristic
34	C₄₃×#336	C₂²	1	2	yes	—
35	C₂²×D₄×C₄₃	—	2	2	no	—
36	C₂²×D₄×C₄₃	—	2	2	no	—
37	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
38	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
39	C₂³×C₄×C₄₃	—	2	2	no	—
40	C₂×D₈×C₄₃	—	2	4	no	—
41	C₂×D₈×C₄₃	—	2	4	no	—
42	C₂×D₈×C₄₃	—	2	4	no	—
43	C₂×D₈×C₄₃	—	2	4	no	—
44	C₂×D₈×C₄₃	—	4	2	no	—
45	C₂×D₈×C₄₃	—	4	2	no	—
46	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
47	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
48	#127×C₄₃	—	2	4	no	—
49	#127×C₄₃	—	2	4	no	—
50	#125×C₄₃	—	2	4	no	—
51	C₄×D₄×C₄₃	—	2	4	no	—
52	C₄×D₄×C₄₃	—	2	4	no	—
53	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
54	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
55	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
56	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
57	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
58	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
59	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
60	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
61	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
62	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
63	#107×C₄₃	—	2	4	no	—
64	#106×C₄₃	—	2	4	no	—
65	C₄⋊C₈×C₄₃	D₄	1	8	yes	complemented
66	#102×C₄₃	—	2	4	no	—
67	#102×C₄₃	—	2	4	no	—
68	#102×C₄₃	—	2	4	no	—
69	#102×C₄₃	—	2	4	no	—
70	#97×C₄₃	—	4	1	no	—
71	C₄×C₈×C₄₃	—	4	1	no	—
72	#95×C₄₃	—	2	2	no	—
73	#95×C₄₃	D₄	1	4	yes	—
74	C₂⁴×C₄₃	—	2	2	no	—
75	C₂⁴×C₄₃	—	2	2	no	—
76	C₂×D₄×C₄₃	—	2	8	no	—
77	C₂×D₄×C₄₃	—	2	2	no	—
78	C₂×D₄×C₄₃	—	2	2	no	—
79	C₂×D₄×C₄₃	—	2	2	no	—
80	C₂×D₄×C₄₃	—	2	2	no	—
81	C₂×D₄×C₄₃	—	2	2	no	—
82	C₂×D₄×C₄₃	—	2	2	no	—
83	C₂×D₄×C₄₃	—	2	2	no	—
84	C₂×D₄×C₄₃	—	2	2	no	—
85	C₂×D₄×C₄₃	—	2	2	no	—
86	C₂×D₄×C₄₃	—	2	2	no	—
87	C₂×D₄×C₄₃	—	2	2	no	—
88	C₂×D₄×C₄₃	—	4	4	no	—
89	C₂×D₄×C₄₃	—	8	4	no	—
90	C₂×D₄×C₄₃	—	8	4	no	—
91	C₂×D₄×C₄₃	#41	1	4	yes	—
92	C₂²×C₄×C₄₃	—	2	2	no	—
93	C₂²×C₄×C₄₃	—	2	2	no	—
94	C₂²×C₄×C₄₃	—	4	4	no	—
95	C₂²×C₄×C₄₃	—	8	4	no	—
96	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
97	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
98	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
99	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
100	D₈×C₄₃	—	4	8	no	—
101	D₈×C₄₃	—	4	8	no	—
102	C₂×C₈×C₄₃	—	2	2	no	—
103	C₂×C₈×C₄₃	—	2	2	no	—
104	C₂×C₈×C₄₃	—	2	2	no	—
105	C₂×C₈×C₄₃	—	2	2	no	—
106	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	—
107	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	—
108	C₄⋊C₄×C₄₃	—	2	2	no	—
109	C₄⋊C₄×C₄₃	—	2	2	no	—
110	C₄⋊C₄×C₄₃	—	2	2	no	—
111	C₄⋊C₄×C₄₃	—	2	2	no	—
112	C₄⋊C₄×C₄₃	—	4	4	no	—
113	C₂²⋊C₄×C₄₃	—	4	4	no	—
114	C₂²⋊C₄×C₄₃	—	8	4	no	—
115	C₂²⋊C₄×C₄₃	—	8	4	no	—
116	C₂²⋊C₄×C₄₃	—	8	4	no	—
117	C₄²×C₄₃	—	2	2	no	—
118	C₄²×C₄₃	—	2	1	no	—
119	C₄²×C₄₃	—	2	1	no	—
120	C₄²×C₄₃	C₂×D₄	1	4	yes	—
121	C₂³×C₄₃	—	2	4	no	—
122	C₂³×C₄₃	—	4	2	no	—
123	C₂³×C₄₃	—	4	2	no	—
124	C₂³×C₄₃	—	4	4	no	—
125	C₂³×C₄₃	—	4	4	no	—
126	C₂³×C₄₃	—	4	2	no	—
127	C₂³×C₄₃	—	4	2	no	—
128	C₂³×C₄₃	—	4	2	no	—
129	C₂³×C₄₃	—	4	4	no	—
130	C₂³×C₄₃	—	4	4	no	—
131	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
132	D₄×C₄₃	—	2	4	no	—
133	D₄×C₄₃	—	2	4	no	—
134	D₄×C₄₃	—	4	2	no	—
135	D₄×C₄₃	—	4	2	no	—
136	D₄×C₄₃	—	4	2	no	—
137	D₄×C₄₃	—	4	2	no	—
138	D₄×C₄₃	—	4	2	no	—
139	D₄×C₄₃	—	4	2	no	—
140	D₄×C₄₃	—	8	8	no	—
141	D₄×C₄₃	—	8	8	no	—
142	C₂×C₄×C₄₃	—	2	4	no	—
143	C₂×C₄×C₄₃	—	2	2	no	—
144	C₂×C₄×C₄₃	—	2	2	no	—
145	C₂×C₄×C₄₃	—	2	4	no	—
146	C₂×C₄×C₄₃	—	2	4	no	—
147	C₂×C₄×C₄₃	—	4	2	no	—
148	C₂×C₄×C₄₃	—	4	2	no	—
149	C₂×C₄×C₄₃	—	4	4	no	—
150	C₂×C₄×C₄₃	—	4	4	no	—
151	C₂×C₄×C₄₃	—	8	8	no	—
152	C₂×C₄×C₄₃	#127	1	4	yes	—
153	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
154	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
155	C₂×C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
156	C₂×C₄×C₄₃	2₋¹⁺⁴	1	1	yes	characteristic
157	C₈×C₄₃	—	2	4	no	—
158	C₈×C₄₃	—	2	4	no	—
159	#28387	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
160	C₂²×C₄₃	—	4	8	no	—
161	C₂²×C₄₃	—	4	4	no	—
162	C₂²×C₄₃	—	8	2	no	—
163	C₂²×C₄₃	—	8	2	no	—
164	C₂²×C₄₃	—	8	4	no	—
165	C₂²×C₄₃	—	8	4	no	—
166	C₂²×C₄₃	—	8	2	no	—
167	C₂²×C₄₃	—	8	2	no	—
168	C₂²×C₄₃	—	8	4	no	—
169	C₂²×C₄₃	—	8	2	no	—
170	C₂²×C₄₃	#525	1	1	yes	characteristic
171	C₂²×C₄₃	C₂×#127	1	1	yes	characteristic
172	C₂²×C₄₃	#537	1	1	yes	characteristic
173	C₂²×C₄₃	#576	1	4	yes	—
174	C₄×C₄₃	—	2	4	no	—
175	C₄×C₄₃	—	4	2	no	—
176	C₄×C₄₃	—	4	2	no	—
177	C₄×C₄₃	—	8	2	no	—
178	C₄×C₄₃	—	8	2	no	—
179	C₄×C₄₃	#546	1	2	yes	—
180	C₄×C₄₃	#548	1	2	yes	—
181	C₂×#478	C₂×C₄₃	1	2	yes	complemented
182	C₂×#459	C₂×C₄₃	1	2	yes	complemented
183	#2641	C₂×C₄₃	1	1	yes	characteristic, complemented
184	#2328	C₂×C₄₃	1	1	yes	characteristic, complemented
185	#2092	C₂×C₄₃	1	2	yes	complemented
186	#2011	C₂×C₄₃	1	2	yes	complemented
187	#1972	C₂×C₄₃	1	2	yes	complemented
188	#1970	C₂×C₄₃	1	2	yes	complemented
189	#1768	C₂×C₄₃	1	1	yes	characteristic, complemented
190	C₂×C₄₃	—	8	4	no	—
191	C₂×C₄₃	—	16	2	no	—
192	C₂×C₄₃	#2540	1	1	yes	characteristic
193	C₂×C₄₃	#3122	1	2	yes	—
194	C₂×C₄₃	#3155	1	2	yes	—
195	C₂×C₄₃	#3259	1	2	yes	—
196	C₂²×D₈	C₂²×C₄₃	1	2	yes	—
197	C₂²×D₈	C₂²×C₄₃	1	2	yes	—
198	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
199	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
200	C₂×#125	C₂²×C₄₃	1	1	yes	characteristic
201	C₂×C₄×D₄	C₂²×C₄₃	1	2	yes	—
202	#478	—	2	8	no	—
203	#459	—	2	8	no	—
204	C₂×#107	C₂²×C₄₃	1	2	yes	—
205	C₂×#106	C₂²×C₄₃	1	2	yes	—
206	C₂×C₄⋊C₈	C₂²×C₄₃	1	2	yes	—
207	C₂×#102	C₂²×C₄₃	1	2	yes	—
208	C₂×#102	C₂²×C₄₃	1	2	yes	—
209	C₂×#102	C₂²×C₄₃	1	2	yes	—
210	C₂×#102	C₂²×C₄₃	1	2	yes	—
211	C₂×#97	C₂²×C₄₃	1	1	yes	characteristic
212	C₂×C₄×C₈	C₂²×C₄₃	1	1	yes	characteristic
213	#394	—	2	4	no	—
214	#390	C₂²×C₄₃	1	2	yes	—
215	#390	C₂²×C₄₃	1	2	yes	—
216	#390	C₂²×C₄₃	1	2	yes	—
217	#386	—	2	4	no	—
218	#382	C₂²×C₄₃	1	1	yes	characteristic
219	#376	C₂²×C₄₃	1	1	yes	characteristic
220	#336	C₂²×C₄₃	1	2	yes	—
221	C₄₃	#28387	1	1	yes	characteristic, direct product factor, Sylow
222	C₂²×D₄	—	2	2	no	—
223	C₂²×D₄	—	2	2	no	—
224	C₂²×D₄	C₂³×C₄₃	1	2	yes	—
225	C₂²×D₄	C₂³×C₄₃	1	2	yes	—
226	C₂³×C₄	—	2	2	no	—
227	C₂×D₈	—	2	4	no	—
228	C₂×D₈	—	2	4	no	—
229	C₂×D₈	—	2	4	no	—
230	C₂×D₈	—	2	4	no	—
231	C₂×D₈	—	4	2	no	—
232	C₂×D₈	—	4	2	no	—
233	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
234	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
235	#127	—	2	4	no	—
236	#127	—	2	4	no	—
237	#125	—	2	4	no	—
238	C₄×D₄	—	2	4	no	—
239	C₄×D₄	—	2	4	no	—
240	C₂×C₄⋊C₄	—	2	2	no	—
241	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
242	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
243	C₂×C₂²⋊C₄	—	2	2	no	—
244	C₂×C₂²⋊C₄	—	2	4	no	—
245	C₂×C₂²⋊C₄	—	2	4	no	—
246	C₂×C₂²⋊C₄	—	2	4	no	—
247	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
248	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
249	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
250	#107	—	2	4	no	—
251	#106	—	2	4	no	—
252	C₄⋊C₈	D₄×C₄₃	1	8	yes	complemented
253	#102	—	2	4	no	—
254	#102	—	2	4	no	—
255	#102	—	2	4	no	—
256	#102	—	2	4	no	—
257	#97	—	4	1	no	—
258	C₄×C₈	—	4	1	no	—
259	#95	—	2	2	no	—
260	#95	D₄×C₄₃	1	4	yes	—
261	C₂⁴	—	2	2	no	—
262	C₂⁴	—	2	2	no	—
263	C₂×D₄	—	2	8	no	—
264	C₂×D₄	—	2	2	no	—
265	C₂×D₄	—	2	2	no	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	—	2	2	no	—
268	C₂×D₄	—	2	2	no	—
269	C₂×D₄	—	2	2	no	—
270	C₂×D₄	—	2	2	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	2	2	no	—
274	C₂×D₄	—	2	2	no	—
275	C₂×D₄	—	4	4	no	—
276	C₂×D₄	—	8	4	no	—
277	C₂×D₄	—	8	4	no	—
278	C₂×D₄	#41×C₄₃	1	4	yes	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	—	4	4	no	—
282	C₂²×C₄	—	8	4	no	—
283	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
284	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
285	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
286	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
287	D₈	—	4	8	no	—
288	D₈	—	4	8	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	—	2	2	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	C₂×D₄×C₄₃	1	4	yes	—
294	C₂×C₈	C₂×D₄×C₄₃	1	4	yes	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	2	2	no	—
298	C₄⋊C₄	—	2	2	no	—
299	C₄⋊C₄	—	4	4	no	—
300	C₂²⋊C₄	—	4	4	no	—
301	C₂²⋊C₄	—	8	4	no	—
302	C₂²⋊C₄	—	8	4	no	—
303	C₂²⋊C₄	—	8	4	no	—
304	C₄²	—	2	2	no	—
305	C₄²	—	2	1	no	—
306	C₄²	—	2	1	no	—
307	C₄²	C₂×D₄×C₄₃	1	4	yes	—
308	C₂³	—	2	4	no	—
309	C₂³	—	4	2	no	—
310	C₂³	—	4	2	no	—
311	C₂³	—	4	4	no	—
312	C₂³	—	4	4	no	—
313	C₂³	—	4	2	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	4	2	no	—
316	C₂³	—	4	4	no	—
317	C₂³	—	4	4	no	—
318	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
319	D₄	—	2	4	no	—
320	D₄	—	2	4	no	—
321	D₄	—	4	2	no	—
322	D₄	—	4	2	no	—
323	D₄	—	4	2	no	—
324	D₄	—	4	2	no	—
325	D₄	—	4	2	no	—
326	D₄	—	4	2	no	—
327	D₄	—	8	8	no	—
328	D₄	—	8	8	no	—
329	C₂×C₄	—	2	4	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	2	4	no	—
333	C₂×C₄	—	2	4	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	4	4	no	—
337	C₂×C₄	—	4	4	no	—
338	C₂×C₄	—	8	8	no	—
339	C₂×C₄	#127×C₄₃	1	4	yes	—
340	C₂×C₄	C₂²×D₄×C₄₃	1	2	yes	—
341	C₂×C₄	C₂×#41×C₄₃	1	2	yes	—
342	C₂×C₄	H(5,𝔽₂)×C₄₃	1	1	yes	characteristic
343	C₂×C₄	2₋¹⁺⁴×C₄₃	1	1	yes	characteristic
344	C₈	—	2	4	no	—
345	C₈	—	2	4	no	—
346	C₂²	—	4	8	no	—
347	C₂²	—	4	4	no	—
348	C₂²	—	8	2	no	—
349	C₂²	—	8	2	no	—
350	C₂²	—	8	4	no	—
351	C₂²	—	8	4	no	—
352	C₂²	—	8	2	no	—
353	C₂²	—	8	2	no	—
354	C₂²	—	8	4	no	—
355	C₂²	—	8	2	no	—
356	C₂²	C₄₃×#525	1	1	yes	characteristic
357	C₂²	C₂×#127×C₄₃	1	1	yes	characteristic
358	C₂²	C₄₃×#537	1	1	yes	characteristic
359	C₂²	C₄₃×#576	1	4	yes	—
360	C₄	—	2	4	no	—
361	C₄	—	4	2	no	—
362	C₄	—	4	2	no	—
363	C₄	—	8	2	no	—
364	C₄	—	8	2	no	—
365	C₄	C₄₃×#546	1	2	yes	—
366	C₄	C₄₃×#548	1	2	yes	—
367	C₂	—	8	4	no	—
368	C₂	—	16	2	no	—
369	C₂	C₄₃×#2540	1	1	yes	characteristic
370	C₂	C₄₃×#3122	1	2	yes	—
371	C₂	C₄₃×#3155	1	2	yes	—
372	C₂	C₄₃×#3259	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₃ ◁ C₄₃×#376 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₄₃×#478	C₂	semidirect
2. C₂×C₄₃×#459	C₂	semidirect
3. C₄₃×#2641	C₂	semidirect
4. C₄₃×#2328	C₂	semidirect
5. C₄₃×#2092	C₂	semidirect
6. C₄₃×#2011	C₂	semidirect
7. C₄₃×#1972	C₂	semidirect
8. C₄₃×#1970	C₂	semidirect
9. C₄₃×#1768	C₂	semidirect
65. C₄⋊C₈×C₄₃	D₄	semidirect
159. #28387	C₄₃	direct (N × H)
181. C₂×#478	C₂×C₄₃	semidirect
182. C₂×#459	C₂×C₄₃	semidirect
183. #2641	C₂×C₄₃	semidirect
184. #2328	C₂×C₄₃	semidirect
185. #2092	C₂×C₄₃	semidirect
186. #2011	C₂×C₄₃	semidirect
187. #1972	C₂×C₄₃	semidirect
188. #1970	C₂×C₄₃	semidirect
189. #1768	C₂×C₄₃	semidirect
221. C₄₃	#28387	direct (N × H)
252. C₄⋊C₈	D₄×C₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄₃×#478	2
C₂×C₄₃×#459	2
C₄₃×#2641	2
C₄₃×#2328	2
C₄₃×#2092	2
C₄₃×#2011	2
C₄₃×#1972	2
C₄₃×#1970	2
C₄₃×#1768	2
#28387	43

Subgroups — C43×#28387 #24948404

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#28387 #24948404